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jq/SOURCES/0000-jq-decimal-literal-number.patch

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import jq-1.6-3.el8
2022-05-10 07:00:29 +00:00
diff -Naur a/configure.ac b/configure.ac
--- a/configure.ac 2018-11-02 07:52:43.000000000 -0700
+++ b/configure.ac 2021-09-29 10:19:48.704843762 -0700
@@ -107,6 +107,14 @@
fi
])
+dnl Disable decNumber support
+AC_ARG_ENABLE([decnum],
+ AC_HELP_STRING([--disable-decnum], [disable decnum support]))
+
+AS_IF([test "x$enable_decnum" != "xno"],[
+ AC_DEFINE([USE_DECNUM],1)
+])
+
AM_CONDITIONAL([ENABLE_VALGRIND], [test "x$enable_valgrind" != xno])
AM_CONDITIONAL([ENABLE_ASAN], [test "x$enable_asan" = xyes])
AM_CONDITIONAL([ENABLE_UBSAN], [test "x$enable_ubsan" = xyes])
@@ -132,17 +140,9 @@
AC_CHECK_MEMBER([struct tm.__tm_gmtoff], [AC_DEFINE([HAVE_TM___TM_GMT_OFF],1,[Define to 1 if the system has the __tm_gmt_off field in struct tm])],
[], [[#include <time.h>]])
-AC_ARG_ENABLE([pthread-tls],
- [AC_HELP_STRING([--enable-pthread-tls],
- [Enable use of pthread thread local storage])],
- [],
- [enable_pthread_tls=no])
-
-if test $enable_pthread_tls = yes; then
- AC_FIND_FUNC([pthread_key_create], [pthread], [#include <pthread.h>], [NULL, NULL])
- AC_FIND_FUNC([pthread_once], [pthread], [#include <pthread.h>], [NULL, NULL])
- AC_FIND_FUNC([atexit], [pthread], [#include <stdlib.h>], [NULL])
-fi
+AC_FIND_FUNC([pthread_key_create], [pthread], [#include <pthread.h>], [NULL, NULL])
+AC_FIND_FUNC([pthread_once], [pthread], [#include <pthread.h>], [NULL, NULL])
+AC_FIND_FUNC([atexit], [pthread], [#include <stdlib.h>], [NULL])
dnl libm math.h functions
AC_CHECK_MATH_FUNC(acos)
diff -Naur a/COPYING b/COPYING
--- a/COPYING 2018-11-01 18:49:29.000000000 -0700
+++ b/COPYING 2021-09-29 10:19:42.486809237 -0700
@@ -68,3 +68,41 @@
REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
+
+
+jq uses parts of the open source C library "decNumber", which is distribured
+under the following license:
+
+
+ICU License - ICU 1.8.1 and later
+
+COPYRIGHT AND PERMISSION NOTICE
+
+Copyright (c) 1995-2005 International Business Machines Corporation and others
+All rights reserved.
+
+Permission is hereby granted, free of charge, to any person obtaining a
+copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, and/or sell copies of the Software, and to permit persons
+to whom the Software is furnished to do so, provided that the above
+copyright notice(s) and this permission notice appear in all copies of
+the Software and that both the above copyright notice(s) and this
+permission notice appear in supporting documentation.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT
+OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR
+HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL
+INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING
+FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
+NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
+WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+
+Except as contained in this notice, the name of a copyright holder
+shall not be used in advertising or otherwise to promote the sale, use
+or other dealings in this Software without prior written authorization
+of the copyright holder.
+
diff -Naur a/Makefile.am b/Makefile.am
--- a/Makefile.am 2018-11-01 18:49:29.000000000 -0700
+++ b/Makefile.am 2021-09-29 10:21:51.152523679 -0700
@@ -11,6 +11,8 @@
src/jq_test.c src/jv.c src/jv_alloc.c src/jv_aux.c \
src/jv_dtoa.c src/jv_file.c src/jv_parse.c src/jv_print.c \
src/jv_unicode.c src/linker.c src/locfile.c src/util.c \
+ src/decNumber/decContext.c src/decNumber/decNumber.c \
+ src/jv_dtoa_tsd.c \
${LIBJQ_INCS}
### C build options
@@ -170,9 +172,10 @@
tests/modules/test_bind_order.jq \
tests/modules/test_bind_order0.jq \
tests/modules/test_bind_order1.jq \
- tests/modules/test_bind_order2.jq tests/onig.supp \
- tests/onig.test tests/setup tests/torture/input0.json \
- tests/optional.test tests/optionaltest \
+ tests/modules/test_bind_order2.jq \
+ tests/onig.supp tests/local.supp \
+ tests/onig.test tests/setup tests/torture/input0.json \
+ tests/optional.test tests/optionaltest \
tests/utf8-truncate.jq tests/utf8test \
tests/base64.test tests/base64test \
tests/jq-f-test.sh tests/shtest
diff -Naur a/src/builtin.c b/src/builtin.c
--- a/src/builtin.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/builtin.c 2021-09-29 10:19:48.686843662 -0700
@@ -87,8 +87,11 @@
jv_free(b);
return a;
} else if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) {
- return jv_number(jv_number_value(a) +
+ jv r = jv_number(jv_number_value(a) +
jv_number_value(b));
+ jv_free(a);
+ jv_free(b);
+ return r;
} else if (jv_get_kind(a) == JV_KIND_STRING && jv_get_kind(b) == JV_KIND_STRING) {
return jv_string_concat(a, b);
} else if (jv_get_kind(a) == JV_KIND_ARRAY && jv_get_kind(b) == JV_KIND_ARRAY) {
@@ -271,7 +274,10 @@
static jv f_minus(jq_state *jq, jv input, jv a, jv b) {
jv_free(input);
if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) {
- return jv_number(jv_number_value(a) - jv_number_value(b));
+ jv r = jv_number(jv_number_value(a) - jv_number_value(b));
+ jv_free(a);
+ jv_free(b);
+ return r;
} else if (jv_get_kind(a) == JV_KIND_ARRAY && jv_get_kind(b) == JV_KIND_ARRAY) {
jv out = jv_array();
jv_array_foreach(a, i, x) {
@@ -299,7 +305,10 @@
jv_kind bk = jv_get_kind(b);
jv_free(input);
if (ak == JV_KIND_NUMBER && bk == JV_KIND_NUMBER) {
- return jv_number(jv_number_value(a) * jv_number_value(b));
+ jv r = jv_number(jv_number_value(a) * jv_number_value(b));
+ jv_free(a);
+ jv_free(b);
+ return r;
} else if ((ak == JV_KIND_STRING && bk == JV_KIND_NUMBER) ||
(ak == JV_KIND_NUMBER && bk == JV_KIND_STRING)) {
jv str = a;
@@ -333,7 +342,10 @@
if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) {
if (jv_number_value(b) == 0.0)
return type_error2(a, b, "cannot be divided because the divisor is zero");
- return jv_number(jv_number_value(a) / jv_number_value(b));
+ jv r = jv_number(jv_number_value(a) / jv_number_value(b));
+ jv_free(a);
+ jv_free(b);
+ return r;
} else if (jv_get_kind(a) == JV_KIND_STRING && jv_get_kind(b) == JV_KIND_STRING) {
return jv_string_split(a, b);
} else {
@@ -346,7 +358,10 @@
if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) {
if ((intmax_t)jv_number_value(b) == 0)
return type_error2(a, b, "cannot be divided (remainder) because the divisor is zero");
- return jv_number((intmax_t)jv_number_value(a) % (intmax_t)jv_number_value(b));
+ jv r = jv_number((intmax_t)jv_number_value(a) % (intmax_t)jv_number_value(b));
+ jv_free(a);
+ jv_free(b);
+ return r;
} else {
return type_error2(a, b, "cannot be divided (remainder)");
}
@@ -437,7 +452,9 @@
} else if (jv_get_kind(input) == JV_KIND_STRING) {
return jv_number(jv_string_length_codepoints(input));
} else if (jv_get_kind(input) == JV_KIND_NUMBER) {
- return jv_number(fabs(jv_number_value(input)));
+ jv r = jv_number(fabs(jv_number_value(input)));
+ jv_free(input);
+ return r;
} else if (jv_get_kind(input) == JV_KIND_NULL) {
jv_free(input);
return jv_number(0);
diff -Naur a/src/decNumber/decBasic.c b/src/decNumber/decBasic.c
--- a/src/decNumber/decBasic.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decBasic.c 2021-09-29 10:19:45.798827627 -0700
@@ -0,0 +1,3908 @@
+/* ------------------------------------------------------------------ */
+/* decBasic.c -- common base code for Basic decimal types */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises code that is shared between decDouble and */
+/* decQuad (but not decSingle). The main arithmetic operations are */
+/* here (Add, Subtract, Multiply, FMA, and Division operators). */
+/* */
+/* Unlike decNumber, parameterization takes place at compile time */
+/* rather than at runtime. The parameters are set in the decDouble.c */
+/* (etc.) files, which then include this one to produce the compiled */
+/* code. The functions here, therefore, are code shared between */
+/* multiple formats. */
+/* */
+/* This must be included after decCommon.c. */
+/* ------------------------------------------------------------------ */
+// Names here refer to decFloat rather than to decDouble, etc., and
+// the functions are in strict alphabetical order.
+
+// The compile-time flags SINGLE, DOUBLE, and QUAD are set up in
+// decCommon.c
+#if !defined(QUAD)
+ #error decBasic.c must be included after decCommon.c
+#endif
+#if SINGLE
+ #error Routines in decBasic.c are for decDouble and decQuad only
+#endif
+
+/* Private constants */
+#define DIVIDE 0x80000000 // Divide operations [as flags]
+#define REMAINDER 0x40000000 // ..
+#define DIVIDEINT 0x20000000 // ..
+#define REMNEAR 0x10000000 // ..
+
+/* Private functions (local, used only by routines in this module) */
+static decFloat *decDivide(decFloat *, const decFloat *,
+ const decFloat *, decContext *, uInt);
+static decFloat *decCanonical(decFloat *, const decFloat *);
+static void decFiniteMultiply(bcdnum *, uByte *, const decFloat *,
+ const decFloat *);
+static decFloat *decInfinity(decFloat *, const decFloat *);
+static decFloat *decInvalid(decFloat *, decContext *);
+static decFloat *decNaNs(decFloat *, const decFloat *, const decFloat *,
+ decContext *);
+static Int decNumCompare(const decFloat *, const decFloat *, Flag);
+static decFloat *decToIntegral(decFloat *, const decFloat *, decContext *,
+ enum rounding, Flag);
+static uInt decToInt32(const decFloat *, decContext *, enum rounding,
+ Flag, Flag);
+
+/* ------------------------------------------------------------------ */
+/* decCanonical -- copy a decFloat, making canonical */
+/* */
+/* result gets the canonicalized df */
+/* df is the decFloat to copy and make canonical */
+/* returns result */
+/* */
+/* This is exposed via decFloatCanonical for Double and Quad only. */
+/* This works on specials, too; no error or exception is possible. */
+/* ------------------------------------------------------------------ */
+static decFloat * decCanonical(decFloat *result, const decFloat *df) {
+ uInt encode, precode, dpd; // work
+ uInt inword, uoff, canon; // ..
+ Int n; // counter (down)
+ if (df!=result) *result=*df; // effect copy if needed
+ if (DFISSPECIAL(result)) {
+ if (DFISINF(result)) return decInfinity(result, df); // clean Infinity
+ // is a NaN
+ DFWORD(result, 0)&=~ECONNANMASK; // clear ECON except selector
+ if (DFISCCZERO(df)) return result; // coefficient continuation is 0
+ // drop through to check payload
+ }
+ // return quickly if the coefficient continuation is canonical
+ { // declare block
+ #if DOUBLE
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourlo=DFWORD(df, 1);
+ if (CANONDPDOFF(sourhi, 8)
+ && CANONDPDTWO(sourhi, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return result;
+ #elif QUAD
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourmh=DFWORD(df, 1);
+ uInt sourml=DFWORD(df, 2);
+ uInt sourlo=DFWORD(df, 3);
+ if (CANONDPDOFF(sourhi, 4)
+ && CANONDPDTWO(sourhi, sourmh, 26)
+ && CANONDPDOFF(sourmh, 16)
+ && CANONDPDOFF(sourmh, 6)
+ && CANONDPDTWO(sourmh, sourml, 28)
+ && CANONDPDOFF(sourml, 18)
+ && CANONDPDOFF(sourml, 8)
+ && CANONDPDTWO(sourml, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return result;
+ #endif
+ } // block
+
+ // Loop to repair a non-canonical coefficent, as needed
+ inword=DECWORDS-1; // current input word
+ uoff=0; // bit offset of declet
+ encode=DFWORD(result, inword);
+ for (n=DECLETS-1; n>=0; n--) { // count down declets of 10 bits
+ dpd=encode>>uoff;
+ uoff+=10;
+ if (uoff>32) { // crossed uInt boundary
+ inword--;
+ encode=DFWORD(result, inword);
+ uoff-=32;
+ dpd|=encode<<(10-uoff); // get pending bits
+ }
+ dpd&=0x3ff; // clear uninteresting bits
+ if (dpd<0x16e) continue; // must be canonical
+ canon=BIN2DPD[DPD2BIN[dpd]]; // determine canonical declet
+ if (canon==dpd) continue; // have canonical declet
+ // need to replace declet
+ if (uoff>=10) { // all within current word
+ encode&=~(0x3ff<<(uoff-10)); // clear the 10 bits ready for replace
+ encode|=canon<<(uoff-10); // insert the canonical form
+ DFWORD(result, inword)=encode; // .. and save
+ continue;
+ }
+ // straddled words
+ precode=DFWORD(result, inword+1); // get previous
+ precode&=0xffffffff>>(10-uoff); // clear top bits
+ DFWORD(result, inword+1)=precode|(canon<<(32-(10-uoff)));
+ encode&=0xffffffff<<uoff; // clear bottom bits
+ encode|=canon>>(10-uoff); // insert canonical
+ DFWORD(result, inword)=encode; // .. and save
+ } // n
+ return result;
+ } // decCanonical
+
+/* ------------------------------------------------------------------ */
+/* decDivide -- divide operations */
+/* */
+/* result gets the result of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* op is the operation selector */
+/* returns result */
+/* */
+/* op is one of DIVIDE, REMAINDER, DIVIDEINT, or REMNEAR. */
+/* ------------------------------------------------------------------ */
+#define DIVCOUNT 0 // 1 to instrument subtractions counter
+#define DIVBASE ((uInt)BILLION) // the base used for divide
+#define DIVOPLEN DECPMAX9 // operand length ('digits' base 10**9)
+#define DIVACCLEN (DIVOPLEN*3) // accumulator length (ditto)
+static decFloat * decDivide(decFloat *result, const decFloat *dfl,
+ const decFloat *dfr, decContext *set, uInt op) {
+ decFloat quotient; // for remainders
+ bcdnum num; // for final conversion
+ uInt acc[DIVACCLEN]; // coefficent in base-billion ..
+ uInt div[DIVOPLEN]; // divisor in base-billion ..
+ uInt quo[DIVOPLEN+1]; // quotient in base-billion ..
+ uByte bcdacc[(DIVOPLEN+1)*9+2]; // for quotient in BCD, +1, +1
+ uInt *msua, *msud, *msuq; // -> msu of acc, div, and quo
+ Int divunits, accunits; // lengths
+ Int quodigits; // digits in quotient
+ uInt *lsua, *lsuq; // -> current acc and quo lsus
+ Int length, multiplier; // work
+ uInt carry, sign; // ..
+ uInt *ua, *ud, *uq; // ..
+ uByte *ub; // ..
+ uInt uiwork; // for macros
+ uInt divtop; // top unit of div adjusted for estimating
+ #if DIVCOUNT
+ static uInt maxcount=0; // worst-seen subtractions count
+ uInt divcount=0; // subtractions count [this divide]
+ #endif
+
+ // calculate sign
+ num.sign=(DFWORD(dfl, 0)^DFWORD(dfr, 0)) & DECFLOAT_Sign;
+
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) { // either is special?
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // one or two infinities
+ if (DFISINF(dfl)) {
+ if (DFISINF(dfr)) return decInvalid(result, set); // Two infinities bad
+ if (op&(REMAINDER|REMNEAR)) return decInvalid(result, set); // as is rem
+ // Infinity/x is infinite and quiet, even if x=0
+ DFWORD(result, 0)=num.sign;
+ return decInfinity(result, result);
+ }
+ // must be x/Infinity -- remainders are lhs
+ if (op&(REMAINDER|REMNEAR)) return decCanonical(result, dfl);
+ // divides: return zero with correct sign and exponent depending
+ // on op (Etiny for divide, 0 for divideInt)
+ decFloatZero(result);
+ if (op==DIVIDEINT) DFWORD(result, 0)|=num.sign; // add sign
+ else DFWORD(result, 0)=num.sign; // zeros the exponent, too
+ return result;
+ }
+ // next, handle zero operands (x/0 and 0/x)
+ if (DFISZERO(dfr)) { // x/0
+ if (DFISZERO(dfl)) { // 0/0 is undefined
+ decFloatZero(result);
+ DFWORD(result, 0)=DECFLOAT_qNaN;
+ set->status|=DEC_Division_undefined;
+ return result;
+ }
+ if (op&(REMAINDER|REMNEAR)) return decInvalid(result, set); // bad rem
+ set->status|=DEC_Division_by_zero;
+ DFWORD(result, 0)=num.sign;
+ return decInfinity(result, result); // x/0 -> signed Infinity
+ }
+ num.exponent=GETEXPUN(dfl)-GETEXPUN(dfr); // ideal exponent
+ if (DFISZERO(dfl)) { // 0/x (x!=0)
+ // if divide, result is 0 with ideal exponent; divideInt has
+ // exponent=0, remainders give zero with lower exponent
+ if (op&DIVIDEINT) {
+ decFloatZero(result);
+ DFWORD(result, 0)|=num.sign; // add sign
+ return result;
+ }
+ if (!(op&DIVIDE)) { // a remainder
+ // exponent is the minimum of the operands
+ num.exponent=MINI(GETEXPUN(dfl), GETEXPUN(dfr));
+ // if the result is zero the sign shall be sign of dfl
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ }
+ bcdacc[0]=0;
+ num.msd=bcdacc; // -> 0
+ num.lsd=bcdacc; // ..
+ return decFinalize(result, &num, set); // [divide may clamp exponent]
+ } // 0/x
+ // [here, both operands are known to be finite and non-zero]
+
+ // extract the operand coefficents into 'units' which are
+ // base-billion; the lhs is high-aligned in acc and the msu of both
+ // acc and div is at the right-hand end of array (offset length-1);
+ // the quotient can need one more unit than the operands as digits
+ // in it are not necessarily aligned neatly; further, the quotient
+ // may not start accumulating until after the end of the initial
+ // operand in acc if that is small (e.g., 1) so the accumulator
+ // must have at least that number of units extra (at the ls end)
+ GETCOEFFBILL(dfl, acc+DIVACCLEN-DIVOPLEN);
+ GETCOEFFBILL(dfr, div);
+ // zero the low uInts of acc
+ acc[0]=0;
+ acc[1]=0;
+ acc[2]=0;
+ acc[3]=0;
+ #if DOUBLE
+ #if DIVOPLEN!=2
+ #error Unexpected Double DIVOPLEN
+ #endif
+ #elif QUAD
+ acc[4]=0;
+ acc[5]=0;
+ acc[6]=0;
+ acc[7]=0;
+ #if DIVOPLEN!=4
+ #error Unexpected Quad DIVOPLEN
+ #endif
+ #endif
+
+ // set msu and lsu pointers
+ msua=acc+DIVACCLEN-1; // [leading zeros removed below]
+ msuq=quo+DIVOPLEN;
+ //[loop for div will terminate because operands are non-zero]
+ for (msud=div+DIVOPLEN-1; *msud==0;) msud--;
+ // the initial least-significant unit of acc is set so acc appears
+ // to have the same length as div.
+ // This moves one position towards the least possible for each
+ // iteration
+ divunits=(Int)(msud-div+1); // precalculate
+ lsua=msua-divunits+1; // initial working lsu of acc
+ lsuq=msuq; // and of quo
+
+ // set up the estimator for the multiplier; this is the msu of div,
+ // plus two bits from the unit below (if any) rounded up by one if
+ // there are any non-zero bits or units below that [the extra two
+ // bits makes for a much better estimate when the top unit is small]
+ divtop=*msud<<2;
+ if (divunits>1) {
+ uInt *um=msud-1;
+ uInt d=*um;
+ if (d>=750000000) {divtop+=3; d-=750000000;}
+ else if (d>=500000000) {divtop+=2; d-=500000000;}
+ else if (d>=250000000) {divtop++; d-=250000000;}
+ if (d) divtop++;
+ else for (um--; um>=div; um--) if (*um) {
+ divtop++;
+ break;
+ }
+ } // >1 unit
+
+ #if DECTRACE
+ {Int i;
+ printf("----- div=");
+ for (i=divunits-1; i>=0; i--) printf("%09ld ", (LI)div[i]);
+ printf("\n");}
+ #endif
+
+ // now collect up to DECPMAX+1 digits in the quotient (this may
+ // need OPLEN+1 uInts if unaligned)
+ quodigits=0; // no digits yet
+ for (;; lsua--) { // outer loop -- each input position
+ #if DECCHECK
+ if (lsua<acc) {
+ printf("Acc underrun...\n");
+ break;
+ }
+ #endif
+ #if DECTRACE
+ printf("Outer: quodigits=%ld acc=", (LI)quodigits);
+ for (ua=msua; ua>=lsua; ua--) printf("%09ld ", (LI)*ua);
+ printf("\n");
+ #endif
+ *lsuq=0; // default unit result is 0
+ for (;;) { // inner loop -- calculate quotient unit
+ // strip leading zero units from acc (either there initially or
+ // from subtraction below); this may strip all if exactly 0
+ for (; *msua==0 && msua>=lsua;) msua--;
+ accunits=(Int)(msua-lsua+1); // [maybe 0]
+ // subtraction is only necessary and possible if there are as
+ // least as many units remaining in acc for this iteration as
+ // there are in div
+ if (accunits<divunits) {
+ if (accunits==0) msua++; // restore
+ break;
+ }
+
+ // If acc is longer than div then subtraction is definitely
+ // possible (as msu of both is non-zero), but if they are the
+ // same length a comparison is needed.
+ // If a subtraction is needed then a good estimate of the
+ // multiplier for the subtraction is also needed in order to
+ // minimise the iterations of this inner loop because the
+ // subtractions needed dominate division performance.
+ if (accunits==divunits) {
+ // compare the high divunits of acc and div:
+ // acc<div: this quotient unit is unchanged; subtraction
+ // will be possible on the next iteration
+ // acc==div: quotient gains 1, set acc=0
+ // acc>div: subtraction necessary at this position
+ for (ud=msud, ua=msua; ud>div; ud--, ua--) if (*ud!=*ua) break;
+ // [now at first mismatch or lsu]
+ if (*ud>*ua) break; // next time...
+ if (*ud==*ua) { // all compared equal
+ *lsuq+=1; // increment result
+ msua=lsua; // collapse acc units
+ *msua=0; // .. to a zero
+ break;
+ }
+
+ // subtraction necessary; estimate multiplier [see above]
+ // if both *msud and *msua are small it is cost-effective to
+ // bring in part of the following units (if any) to get a
+ // better estimate (assume some other non-zero in div)
+ #define DIVLO 1000000U
+ #define DIVHI (DIVBASE/DIVLO)
+ #if DECUSE64
+ if (divunits>1) {
+ // there cannot be a *(msud-2) for DECDOUBLE so next is
+ // an exact calculation unless DECQUAD (which needs to
+ // assume bits out there if divunits>2)
+ uLong mul=(uLong)*msua * DIVBASE + *(msua-1);
+ uLong div=(uLong)*msud * DIVBASE + *(msud-1);
+ #if QUAD
+ if (divunits>2) div++;
+ #endif
+ mul/=div;
+ multiplier=(Int)mul;
+ }
+ else multiplier=*msua/(*msud);
+ #else
+ if (divunits>1 && *msua<DIVLO && *msud<DIVLO) {
+ multiplier=(*msua*DIVHI + *(msua-1)/DIVLO)
+ /(*msud*DIVHI + *(msud-1)/DIVLO +1);
+ }
+ else multiplier=(*msua<<2)/divtop;
+ #endif
+ }
+ else { // accunits>divunits
+ // msud is one unit 'lower' than msua, so estimate differently
+ #if DECUSE64
+ uLong mul;
+ // as before, bring in extra digits if possible
+ if (divunits>1 && *msua<DIVLO && *msud<DIVLO) {
+ mul=((uLong)*msua * DIVHI * DIVBASE) + *(msua-1) * DIVHI
+ + *(msua-2)/DIVLO;
+ mul/=(*msud*DIVHI + *(msud-1)/DIVLO +1);
+ }
+ else if (divunits==1) {
+ mul=(uLong)*msua * DIVBASE + *(msua-1);
+ mul/=*msud; // no more to the right
+ }
+ else {
+ mul=(uLong)(*msua) * (uInt)(DIVBASE<<2)
+ + (*(msua-1)<<2);
+ mul/=divtop; // [divtop already allows for sticky bits]
+ }
+ multiplier=(Int)mul;
+ #else
+ multiplier=*msua * ((DIVBASE<<2)/divtop);
+ #endif
+ }
+ if (multiplier==0) multiplier=1; // marginal case
+ *lsuq+=multiplier;
+
+ #if DIVCOUNT
+ // printf("Multiplier: %ld\n", (LI)multiplier);
+ divcount++;
+ #endif
+
+ // Carry out the subtraction acc-(div*multiplier); for each
+ // unit in div, do the multiply, split to units (see
+ // decFloatMultiply for the algorithm), and subtract from acc
+ #define DIVMAGIC 2305843009U // 2**61/10**9
+ #define DIVSHIFTA 29
+ #define DIVSHIFTB 32
+ carry=0;
+ for (ud=div, ua=lsua; ud<=msud; ud++, ua++) {
+ uInt lo, hop;
+ #if DECUSE64
+ uLong sub=(uLong)multiplier*(*ud)+carry;
+ if (sub<DIVBASE) {
+ carry=0;
+ lo=(uInt)sub;
+ }
+ else {
+ hop=(uInt)(sub>>DIVSHIFTA);
+ carry=(uInt)(((uLong)hop*DIVMAGIC)>>DIVSHIFTB);
+ // the estimate is now in hi; now calculate sub-hi*10**9
+ // to get the remainder (which will be <DIVBASE))
+ lo=(uInt)sub;
+ lo-=carry*DIVBASE; // low word of result
+ if (lo>=DIVBASE) {
+ lo-=DIVBASE; // correct by +1
+ carry++;
+ }
+ }
+ #else // 32-bit
+ uInt hi;
+ // calculate multiplier*(*ud) into hi and lo
+ LONGMUL32HI(hi, *ud, multiplier); // get the high word
+ lo=multiplier*(*ud); // .. and the low
+ lo+=carry; // add the old hi
+ carry=hi+(lo<carry); // .. with any carry
+ if (carry || lo>=DIVBASE) { // split is needed
+ hop=(carry<<3)+(lo>>DIVSHIFTA); // hi:lo/2**29
+ LONGMUL32HI(carry, hop, DIVMAGIC); // only need the high word
+ // [DIVSHIFTB is 32, so carry can be used directly]
+ // the estimate is now in carry; now calculate hi:lo-est*10**9;
+ // happily the top word of the result is irrelevant because it
+ // will always be zero so this needs only one multiplication
+ lo-=(carry*DIVBASE);
+ // the correction here will be at most +1; do it
+ if (lo>=DIVBASE) {
+ lo-=DIVBASE;
+ carry++;
+ }
+ }
+ #endif
+ if (lo>*ua) { // borrow needed
+ *ua+=DIVBASE;
+ carry++;
+ }
+ *ua-=lo;
+ } // ud loop
+ if (carry) *ua-=carry; // accdigits>divdigits [cannot borrow]
+ } // inner loop
+
+ // the outer loop terminates when there is either an exact result
+ // or enough digits; first update the quotient digit count and
+ // pointer (if any significant digits)
+ #if DECTRACE
+ if (*lsuq || quodigits) printf("*lsuq=%09ld\n", (LI)*lsuq);
+ #endif
+ if (quodigits) {
+ quodigits+=9; // had leading unit earlier
+ lsuq--;
+ if (quodigits>DECPMAX+1) break; // have enough
+ }
+ else if (*lsuq) { // first quotient digits
+ const uInt *pow;
+ for (pow=DECPOWERS; *lsuq>=*pow; pow++) quodigits++;
+ lsuq--;
+ // [cannot have >DECPMAX+1 on first unit]
+ }
+
+ if (*msua!=0) continue; // not an exact result
+ // acc is zero iff used all of original units and zero down to lsua
+ // (must also continue to original lsu for correct quotient length)
+ if (lsua>acc+DIVACCLEN-DIVOPLEN) continue;
+ for (; msua>lsua && *msua==0;) msua--;
+ if (*msua==0 && msua==lsua) break;
+ } // outer loop
+
+ // all of the original operand in acc has been covered at this point
+ // quotient now has at least DECPMAX+2 digits
+ // *msua is now non-0 if inexact and sticky bits
+ // lsuq is one below the last uint of the quotient
+ lsuq++; // set -> true lsu of quo
+ if (*msua) *lsuq|=1; // apply sticky bit
+
+ // quo now holds the (unrounded) quotient in base-billion; one
+ // base-billion 'digit' per uInt.
+ #if DECTRACE
+ printf("DivQuo:");
+ for (uq=msuq; uq>=lsuq; uq--) printf(" %09ld", (LI)*uq);
+ printf("\n");
+ #endif
+
+ // Now convert to BCD for rounding and cleanup, starting from the
+ // most significant end [offset by one into bcdacc to leave room
+ // for a possible carry digit if rounding for REMNEAR is needed]
+ for (uq=msuq, ub=bcdacc+1; uq>=lsuq; uq--, ub+=9) {
+ uInt top, mid, rem; // work
+ if (*uq==0) { // no split needed
+ UBFROMUI(ub, 0); // clear 9 BCD8s
+ UBFROMUI(ub+4, 0); // ..
+ *(ub+8)=0; // ..
+ continue;
+ }
+ // *uq is non-zero -- split the base-billion digit into
+ // hi, mid, and low three-digits
+ #define divsplit9 1000000 // divisor
+ #define divsplit6 1000 // divisor
+ // The splitting is done by simple divides and remainders,
+ // assuming the compiler will optimize these [GCC does]
+ top=*uq/divsplit9;
+ rem=*uq%divsplit9;
+ mid=rem/divsplit6;
+ rem=rem%divsplit6;
+ // lay out the nine BCD digits (plus one unwanted byte)
+ UBFROMUI(ub, UBTOUI(&BIN2BCD8[top*4]));
+ UBFROMUI(ub+3, UBTOUI(&BIN2BCD8[mid*4]));
+ UBFROMUI(ub+6, UBTOUI(&BIN2BCD8[rem*4]));
+ } // BCD conversion loop
+ ub--; // -> lsu
+
+ // complete the bcdnum; quodigits is correct, so the position of
+ // the first non-zero is known
+ num.msd=bcdacc+1+(msuq-lsuq+1)*9-quodigits;
+ num.lsd=ub;
+
+ // make exponent adjustments, etc
+ if (lsua<acc+DIVACCLEN-DIVOPLEN) { // used extra digits
+ num.exponent-=(Int)((acc+DIVACCLEN-DIVOPLEN-lsua)*9);
+ // if the result was exact then there may be up to 8 extra
+ // trailing zeros in the overflowed quotient final unit
+ if (*msua==0) {
+ for (; *ub==0;) ub--; // drop zeros
+ num.exponent+=(Int)(num.lsd-ub); // and adjust exponent
+ num.lsd=ub;
+ }
+ } // adjustment needed
+
+ #if DIVCOUNT
+ if (divcount>maxcount) { // new high-water nark
+ maxcount=divcount;
+ printf("DivNewMaxCount: %ld\n", (LI)maxcount);
+ }
+ #endif
+
+ if (op&DIVIDE) return decFinalize(result, &num, set); // all done
+
+ // Is DIVIDEINT or a remainder; there is more to do -- first form
+ // the integer (this is done 'after the fact', unlike as in
+ // decNumber, so as not to tax DIVIDE)
+
+ // The first non-zero digit will be in the first 9 digits, known
+ // from quodigits and num.msd, so there is always space for DECPMAX
+ // digits
+
+ length=(Int)(num.lsd-num.msd+1);
+ //printf("Length exp: %ld %ld\n", (LI)length, (LI)num.exponent);
+
+ if (length+num.exponent>DECPMAX) { // cannot fit
+ decFloatZero(result);
+ DFWORD(result, 0)=DECFLOAT_qNaN;
+ set->status|=DEC_Division_impossible;
+ return result;
+ }
+
+ if (num.exponent>=0) { // already an int, or need pad zeros
+ for (ub=num.lsd+1; ub<=num.lsd+num.exponent; ub++) *ub=0;
+ num.lsd+=num.exponent;
+ }
+ else { // too long: round or truncate needed
+ Int drop=-num.exponent;
+ if (!(op&REMNEAR)) { // simple truncate
+ num.lsd-=drop;
+ if (num.lsd<num.msd) { // truncated all
+ num.lsd=num.msd; // make 0
+ *num.lsd=0; // .. [sign still relevant]
+ }
+ }
+ else { // round to nearest even [sigh]
+ // round-to-nearest, in-place; msd is at or to right of bcdacc+1
+ // (this is a special case of Quantize -- q.v. for commentary)
+ uByte *roundat; // -> re-round digit
+ uByte reround; // reround value
+ *(num.msd-1)=0; // in case of left carry, or make 0
+ if (drop<length) roundat=num.lsd-drop+1;
+ else if (drop==length) roundat=num.msd;
+ else roundat=num.msd-1; // [-> 0]
+ reround=*roundat;
+ for (ub=roundat+1; ub<=num.lsd; ub++) {
+ if (*ub!=0) {
+ reround=DECSTICKYTAB[reround];
+ break;
+ }
+ } // check stickies
+ if (roundat>num.msd) num.lsd=roundat-1;
+ else {
+ num.msd--; // use the 0 ..
+ num.lsd=num.msd; // .. at the new MSD place
+ }
+ if (reround!=0) { // discarding non-zero
+ uInt bump=0;
+ // rounding is DEC_ROUND_HALF_EVEN always
+ if (reround>5) bump=1; // >0.5 goes up
+ else if (reround==5) // exactly 0.5000 ..
+ bump=*(num.lsd) & 0x01; // .. up iff [new] lsd is odd
+ if (bump!=0) { // need increment
+ // increment the coefficient; this might end up with 1000...
+ ub=num.lsd;
+ for (; UBTOUI(ub-3)==0x09090909; ub-=4) UBFROMUI(ub-3, 0);
+ for (; *ub==9; ub--) *ub=0; // at most 3 more
+ *ub+=1;
+ if (ub<num.msd) num.msd--; // carried
+ } // bump needed
+ } // reround!=0
+ } // remnear
+ } // round or truncate needed
+ num.exponent=0; // all paths
+ //decShowNum(&num, "int");
+
+ if (op&DIVIDEINT) return decFinalize(result, &num, set); // all done
+
+ // Have a remainder to calculate
+ decFinalize(&quotient, &num, set); // lay out the integer so far
+ DFWORD(&quotient, 0)^=DECFLOAT_Sign; // negate it
+ sign=DFWORD(dfl, 0); // save sign of dfl
+ decFloatFMA(result, &quotient, dfr, dfl, set);
+ if (!DFISZERO(result)) return result;
+ // if the result is zero the sign shall be sign of dfl
+ DFWORD(&quotient, 0)=sign; // construct decFloat of sign
+ return decFloatCopySign(result, result, &quotient);
+ } // decDivide
+
+/* ------------------------------------------------------------------ */
+/* decFiniteMultiply -- multiply two finite decFloats */
+/* */
+/* num gets the result of multiplying dfl and dfr */
+/* bcdacc .. with the coefficient in this array */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* */
+/* This effects the multiplication of two decFloats, both known to be */
+/* finite, leaving the result in a bcdnum ready for decFinalize (for */
+/* use in Multiply) or in a following addition (FMA). */
+/* */
+/* bcdacc must have space for at least DECPMAX9*18+1 bytes. */
+/* No error is possible and no status is set. */
+/* ------------------------------------------------------------------ */
+// This routine has two separate implementations of the core
+// multiplication; both using base-billion. One uses only 32-bit
+// variables (Ints and uInts) or smaller; the other uses uLongs (for
+// multiplication and addition only). Both implementations cover
+// both arithmetic sizes (DOUBLE and QUAD) in order to allow timing
+// comparisons. In any one compilation only one implementation for
+// each size can be used, and if DECUSE64 is 0 then use of the 32-bit
+// version is forced.
+//
+// Historical note: an earlier version of this code also supported the
+// 256-bit format and has been preserved. That is somewhat trickier
+// during lazy carry splitting because the initial quotient estimate
+// (est) can exceed 32 bits.
+
+#define MULTBASE ((uInt)BILLION) // the base used for multiply
+#define MULOPLEN DECPMAX9 // operand length ('digits' base 10**9)
+#define MULACCLEN (MULOPLEN*2) // accumulator length (ditto)
+#define LEADZEROS (MULACCLEN*9 - DECPMAX*2) // leading zeros always
+
+// Assertions: exponent not too large and MULACCLEN is a multiple of 4
+#if DECEMAXD>9
+ #error Exponent may overflow when doubled for Multiply
+#endif
+#if MULACCLEN!=(MULACCLEN/4)*4
+ // This assumption is used below only for initialization
+ #error MULACCLEN is not a multiple of 4
+#endif
+
+static void decFiniteMultiply(bcdnum *num, uByte *bcdacc,
+ const decFloat *dfl, const decFloat *dfr) {
+ uInt bufl[MULOPLEN]; // left coefficient (base-billion)
+ uInt bufr[MULOPLEN]; // right coefficient (base-billion)
+ uInt *ui, *uj; // work
+ uByte *ub; // ..
+ uInt uiwork; // for macros
+
+ #if DECUSE64
+ uLong accl[MULACCLEN]; // lazy accumulator (base-billion+)
+ uLong *pl; // work -> lazy accumulator
+ uInt acc[MULACCLEN]; // coefficent in base-billion ..
+ #else
+ uInt acc[MULACCLEN*2]; // accumulator in base-billion ..
+ #endif
+ uInt *pa; // work -> accumulator
+ //printf("Base10**9: OpLen=%d MulAcclen=%d\n", OPLEN, MULACCLEN);
+
+ /* Calculate sign and exponent */
+ num->sign=(DFWORD(dfl, 0)^DFWORD(dfr, 0)) & DECFLOAT_Sign;
+ num->exponent=GETEXPUN(dfl)+GETEXPUN(dfr); // [see assertion above]
+
+ /* Extract the coefficients and prepare the accumulator */
+ // the coefficients of the operands are decoded into base-billion
+ // numbers in uInt arrays (bufl and bufr, LSD at offset 0) of the
+ // appropriate size.
+ GETCOEFFBILL(dfl, bufl);
+ GETCOEFFBILL(dfr, bufr);
+ #if DECTRACE && 0
+ printf("CoeffbL:");
+ for (ui=bufl+MULOPLEN-1; ui>=bufl; ui--) printf(" %08lx", (LI)*ui);
+ printf("\n");
+ printf("CoeffbR:");
+ for (uj=bufr+MULOPLEN-1; uj>=bufr; uj--) printf(" %08lx", (LI)*uj);
+ printf("\n");
+ #endif
+
+ // start the 64-bit/32-bit differing paths...
+#if DECUSE64
+
+ // zero the accumulator
+ #if MULACCLEN==4
+ accl[0]=0; accl[1]=0; accl[2]=0; accl[3]=0;
+ #else // use a loop
+ // MULACCLEN is a multiple of four, asserted above
+ for (pl=accl; pl<accl+MULACCLEN; pl+=4) {
+ *pl=0; *(pl+1)=0; *(pl+2)=0; *(pl+3)=0;// [reduce overhead]
+ } // pl
+ #endif
+
+ /* Effect the multiplication */
+ // The multiplcation proceeds using MFC's lazy-carry resolution
+ // algorithm from decNumber. First, the multiplication is
+ // effected, allowing accumulation of the partial products (which
+ // are in base-billion at each column position) into 64 bits
+ // without resolving back to base=billion after each addition.
+ // These 64-bit numbers (which may contain up to 19 decimal digits)
+ // are then split using the Clark & Cowlishaw algorithm (see below).
+ // [Testing for 0 in the inner loop is not really a 'win']
+ for (ui=bufr; ui<bufr+MULOPLEN; ui++) { // over each item in rhs
+ if (*ui==0) continue; // product cannot affect result
+ pl=accl+(ui-bufr); // where to add the lhs
+ for (uj=bufl; uj<bufl+MULOPLEN; uj++, pl++) { // over each item in lhs
+ // if (*uj==0) continue; // product cannot affect result
+ *pl+=((uLong)*ui)*(*uj);
+ } // uj
+ } // ui
+
+ // The 64-bit carries must now be resolved; this means that a
+ // quotient/remainder has to be calculated for base-billion (1E+9).
+ // For this, Clark & Cowlishaw's quotient estimation approach (also
+ // used in decNumber) is needed, because 64-bit divide is generally
+ // extremely slow on 32-bit machines, and may be slower than this
+ // approach even on 64-bit machines. This algorithm splits X
+ // using:
+ //
+ // magic=2**(A+B)/1E+9; // 'magic number'
+ // hop=X/2**A; // high order part of X (by shift)
+ // est=magic*hop/2**B // quotient estimate (may be low by 1)
+ //
+ // A and B are quite constrained; hop and magic must fit in 32 bits,
+ // and 2**(A+B) must be as large as possible (which is 2**61 if
+ // magic is to fit). Further, maxX increases with the length of
+ // the operands (and hence the number of partial products
+ // accumulated); maxX is OPLEN*(10**18), which is up to 19 digits.
+ //
+ // It can be shown that when OPLEN is 2 then the maximum error in
+ // the estimated quotient is <1, but for larger maximum x the
+ // maximum error is above 1 so a correction that is >1 may be
+ // needed. Values of A and B are chosen to satisfy the constraints
+ // just mentioned while minimizing the maximum error (and hence the
+ // maximum correction), as shown in the following table:
+ //
+ // Type OPLEN A B maxX maxError maxCorrection
+ // ---------------------------------------------------------
+ // DOUBLE 2 29 32 <2*10**18 0.63 1
+ // QUAD 4 30 31 <4*10**18 1.17 2
+ //
+ // In the OPLEN==2 case there is most choice, but the value for B
+ // of 32 has a big advantage as then the calculation of the
+ // estimate requires no shifting; the compiler can extract the high
+ // word directly after multiplying magic*hop.
+ #define MULMAGIC 2305843009U // 2**61/10**9 [both cases]
+ #if DOUBLE
+ #define MULSHIFTA 29
+ #define MULSHIFTB 32
+ #elif QUAD
+ #define MULSHIFTA 30
+ #define MULSHIFTB 31
+ #else
+ #error Unexpected type
+ #endif
+
+ #if DECTRACE
+ printf("MulAccl:");
+ for (pl=accl+MULACCLEN-1; pl>=accl; pl--)
+ printf(" %08lx:%08lx", (LI)(*pl>>32), (LI)(*pl&0xffffffff));
+ printf("\n");
+ #endif
+
+ for (pl=accl, pa=acc; pl<accl+MULACCLEN; pl++, pa++) { // each column position
+ uInt lo, hop; // work
+ uInt est; // cannot exceed 4E+9
+ if (*pl>=MULTBASE) {
+ // *pl holds a binary number which needs to be split
+ hop=(uInt)(*pl>>MULSHIFTA);
+ est=(uInt)(((uLong)hop*MULMAGIC)>>MULSHIFTB);
+ // the estimate is now in est; now calculate hi:lo-est*10**9;
+ // happily the top word of the result is irrelevant because it
+ // will always be zero so this needs only one multiplication
+ lo=(uInt)(*pl-((uLong)est*MULTBASE)); // low word of result
+ // If QUAD, the correction here could be +2
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE; // correct by +1
+ est++;
+ #if QUAD
+ // may need to correct by +2
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ est++;
+ }
+ #endif
+ }
+ // finally place lo as the new coefficient 'digit' and add est to
+ // the next place up [this is safe because this path is never
+ // taken on the final iteration as *pl will fit]
+ *pa=lo;
+ *(pl+1)+=est;
+ } // *pl needed split
+ else { // *pl<MULTBASE
+ *pa=(uInt)*pl; // just copy across
+ }
+ } // pl loop
+
+#else // 32-bit
+ for (pa=acc;; pa+=4) { // zero the accumulator
+ *pa=0; *(pa+1)=0; *(pa+2)=0; *(pa+3)=0; // [reduce overhead]
+ if (pa==acc+MULACCLEN*2-4) break; // multiple of 4 asserted
+ } // pa
+
+ /* Effect the multiplication */
+ // uLongs are not available (and in particular, there is no uLong
+ // divide) but it is still possible to use MFC's lazy-carry
+ // resolution algorithm from decNumber. First, the multiplication
+ // is effected, allowing accumulation of the partial products
+ // (which are in base-billion at each column position) into 64 bits
+ // [with the high-order 32 bits in each position being held at
+ // offset +ACCLEN from the low-order 32 bits in the accumulator].
+ // These 64-bit numbers (which may contain up to 19 decimal digits)
+ // are then split using the Clark & Cowlishaw algorithm (see
+ // below).
+ for (ui=bufr;; ui++) { // over each item in rhs
+ uInt hi, lo; // words of exact multiply result
+ pa=acc+(ui-bufr); // where to add the lhs
+ for (uj=bufl;; uj++, pa++) { // over each item in lhs
+ LONGMUL32HI(hi, *ui, *uj); // calculate product of digits
+ lo=(*ui)*(*uj); // ..
+ *pa+=lo; // accumulate low bits and ..
+ *(pa+MULACCLEN)+=hi+(*pa<lo); // .. high bits with any carry
+ if (uj==bufl+MULOPLEN-1) break;
+ }
+ if (ui==bufr+MULOPLEN-1) break;
+ }
+
+ // The 64-bit carries must now be resolved; this means that a
+ // quotient/remainder has to be calculated for base-billion (1E+9).
+ // For this, Clark & Cowlishaw's quotient estimation approach (also
+ // used in decNumber) is needed, because 64-bit divide is generally
+ // extremely slow on 32-bit machines. This algorithm splits X
+ // using:
+ //
+ // magic=2**(A+B)/1E+9; // 'magic number'
+ // hop=X/2**A; // high order part of X (by shift)
+ // est=magic*hop/2**B // quotient estimate (may be low by 1)
+ //
+ // A and B are quite constrained; hop and magic must fit in 32 bits,
+ // and 2**(A+B) must be as large as possible (which is 2**61 if
+ // magic is to fit). Further, maxX increases with the length of
+ // the operands (and hence the number of partial products
+ // accumulated); maxX is OPLEN*(10**18), which is up to 19 digits.
+ //
+ // It can be shown that when OPLEN is 2 then the maximum error in
+ // the estimated quotient is <1, but for larger maximum x the
+ // maximum error is above 1 so a correction that is >1 may be
+ // needed. Values of A and B are chosen to satisfy the constraints
+ // just mentioned while minimizing the maximum error (and hence the
+ // maximum correction), as shown in the following table:
+ //
+ // Type OPLEN A B maxX maxError maxCorrection
+ // ---------------------------------------------------------
+ // DOUBLE 2 29 32 <2*10**18 0.63 1
+ // QUAD 4 30 31 <4*10**18 1.17 2
+ //
+ // In the OPLEN==2 case there is most choice, but the value for B
+ // of 32 has a big advantage as then the calculation of the
+ // estimate requires no shifting; the high word is simply
+ // calculated from multiplying magic*hop.
+ #define MULMAGIC 2305843009U // 2**61/10**9 [both cases]
+ #if DOUBLE
+ #define MULSHIFTA 29
+ #define MULSHIFTB 32
+ #elif QUAD
+ #define MULSHIFTA 30
+ #define MULSHIFTB 31
+ #else
+ #error Unexpected type
+ #endif
+
+ #if DECTRACE
+ printf("MulHiLo:");
+ for (pa=acc+MULACCLEN-1; pa>=acc; pa--)
+ printf(" %08lx:%08lx", (LI)*(pa+MULACCLEN), (LI)*pa);
+ printf("\n");
+ #endif
+
+ for (pa=acc;; pa++) { // each low uInt
+ uInt hi, lo; // words of exact multiply result
+ uInt hop, estlo; // work
+ #if QUAD
+ uInt esthi; // ..
+ #endif
+
+ lo=*pa;
+ hi=*(pa+MULACCLEN); // top 32 bits
+ // hi and lo now hold a binary number which needs to be split
+
+ #if DOUBLE
+ hop=(hi<<3)+(lo>>MULSHIFTA); // hi:lo/2**29
+ LONGMUL32HI(estlo, hop, MULMAGIC);// only need the high word
+ // [MULSHIFTB is 32, so estlo can be used directly]
+ // the estimate is now in estlo; now calculate hi:lo-est*10**9;
+ // happily the top word of the result is irrelevant because it
+ // will always be zero so this needs only one multiplication
+ lo-=(estlo*MULTBASE);
+ // esthi=0; // high word is ignored below
+ // the correction here will be at most +1; do it
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ estlo++;
+ }
+ #elif QUAD
+ hop=(hi<<2)+(lo>>MULSHIFTA); // hi:lo/2**30
+ LONGMUL32HI(esthi, hop, MULMAGIC);// shift will be 31 ..
+ estlo=hop*MULMAGIC; // .. so low word needed
+ estlo=(esthi<<1)+(estlo>>MULSHIFTB); // [just the top bit]
+ // esthi=0; // high word is ignored below
+ lo-=(estlo*MULTBASE); // as above
+ // the correction here could be +1 or +2
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ estlo++;
+ }
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ estlo++;
+ }
+ #else
+ #error Unexpected type
+ #endif
+
+ // finally place lo as the new accumulator digit and add est to
+ // the next place up; this latter add could cause a carry of 1
+ // to the high word of the next place
+ *pa=lo;
+ *(pa+1)+=estlo;
+ // esthi is always 0 for DOUBLE and QUAD so this is skipped
+ // *(pa+1+MULACCLEN)+=esthi;
+ if (*(pa+1)<estlo) *(pa+1+MULACCLEN)+=1; // carry
+ if (pa==acc+MULACCLEN-2) break; // [MULACCLEN-1 will never need split]
+ } // pa loop
+#endif
+
+ // At this point, whether using the 64-bit or the 32-bit paths, the
+ // accumulator now holds the (unrounded) result in base-billion;
+ // one base-billion 'digit' per uInt.
+ #if DECTRACE
+ printf("MultAcc:");
+ for (pa=acc+MULACCLEN-1; pa>=acc; pa--) printf(" %09ld", (LI)*pa);
+ printf("\n");
+ #endif
+
+ // Now convert to BCD for rounding and cleanup, starting from the
+ // most significant end
+ pa=acc+MULACCLEN-1;
+ if (*pa!=0) num->msd=bcdacc+LEADZEROS;// drop known lead zeros
+ else { // >=1 word of leading zeros
+ num->msd=bcdacc; // known leading zeros are gone
+ pa--; // skip first word ..
+ for (; *pa==0; pa--) if (pa==acc) break; // .. and any more leading 0s
+ }
+ for (ub=bcdacc;; pa--, ub+=9) {
+ if (*pa!=0) { // split(s) needed
+ uInt top, mid, rem; // work
+ // *pa is non-zero -- split the base-billion acc digit into
+ // hi, mid, and low three-digits
+ #define mulsplit9 1000000 // divisor
+ #define mulsplit6 1000 // divisor
+ // The splitting is done by simple divides and remainders,
+ // assuming the compiler will optimize these where useful
+ // [GCC does]
+ top=*pa/mulsplit9;
+ rem=*pa%mulsplit9;
+ mid=rem/mulsplit6;
+ rem=rem%mulsplit6;
+ // lay out the nine BCD digits (plus one unwanted byte)
+ UBFROMUI(ub, UBTOUI(&BIN2BCD8[top*4]));
+ UBFROMUI(ub+3, UBTOUI(&BIN2BCD8[mid*4]));
+ UBFROMUI(ub+6, UBTOUI(&BIN2BCD8[rem*4]));
+ }
+ else { // *pa==0
+ UBFROMUI(ub, 0); // clear 9 BCD8s
+ UBFROMUI(ub+4, 0); // ..
+ *(ub+8)=0; // ..
+ }
+ if (pa==acc) break;
+ } // BCD conversion loop
+
+ num->lsd=ub+8; // complete the bcdnum ..
+
+ #if DECTRACE
+ decShowNum(num, "postmult");
+ decFloatShow(dfl, "dfl");
+ decFloatShow(dfr, "dfr");
+ #endif
+ return;
+ } // decFiniteMultiply
+
+/* ------------------------------------------------------------------ */
+/* decFloatAbs -- absolute value, heeding NaNs, etc. */
+/* */
+/* result gets the canonicalized df with sign 0 */
+/* df is the decFloat to abs */
+/* set is the context */
+/* returns result */
+/* */
+/* This has the same effect as decFloatPlus unless df is negative, */
+/* in which case it has the same effect as decFloatMinus. The */
+/* effect is also the same as decFloatCopyAbs except that NaNs are */
+/* handled normally (the sign of a NaN is not affected, and an sNaN */
+/* will signal) and the result will be canonical. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatAbs(decFloat *result, const decFloat *df,
+ decContext *set) {
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ decCanonical(result, df); // copy and check
+ DFBYTE(result, 0)&=~0x80; // zero sign bit
+ return result;
+ } // decFloatAbs
+
+/* ------------------------------------------------------------------ */
+/* decFloatAdd -- add two decFloats */
+/* */
+/* result gets the result of adding dfl and dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+#if QUAD
+// Table for testing MSDs for fastpath elimination; returns the MSD of
+// a decDouble or decQuad (top 6 bits tested) ignoring the sign.
+// Infinities return -32 and NaNs return -128 so that summing the two
+// MSDs also allows rapid tests for the Specials (see code below).
+const Int DECTESTMSD[64]={
+ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, -32, -128,
+ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, -32, -128};
+#else
+// The table for testing MSDs is shared between the modules
+extern const Int DECTESTMSD[64];
+#endif
+
+decFloat * decFloatAdd(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ bcdnum num; // for final conversion
+ Int bexpl, bexpr; // left and right biased exponents
+ uByte *ub, *us, *ut; // work
+ uInt uiwork; // for macros
+ #if QUAD
+ uShort uswork; // ..
+ #endif
+
+ uInt sourhil, sourhir; // top words from source decFloats
+ // [valid only through end of
+ // fastpath code -- before swap]
+ uInt diffsign; // non-zero if signs differ
+ uInt carry; // carry: 0 or 1 before add loop
+ Int overlap; // coefficient overlap (if full)
+ Int summ; // sum of the MSDs
+ // the following buffers hold coefficients with various alignments
+ // (see commentary and diagrams below)
+ uByte acc[4+2+DECPMAX*3+8];
+ uByte buf[4+2+DECPMAX*2];
+ uByte *umsd, *ulsd; // local MSD and LSD pointers
+
+ #if DECLITEND
+ #define CARRYPAT 0x01000000 // carry=1 pattern
+ #else
+ #define CARRYPAT 0x00000001 // carry=1 pattern
+ #endif
+
+ /* Start decoding the arguments */
+ // The initial exponents are placed into the opposite Ints to
+ // that which might be expected; there are two sets of data to
+ // keep track of (each decFloat and the corresponding exponent),
+ // and this scheme means that at the swap point (after comparing
+ // exponents) only one pair of words needs to be swapped
+ // whichever path is taken (thereby minimising worst-case path).
+ // The calculated exponents will be nonsense when the arguments are
+ // Special, but are not used in that path
+ sourhil=DFWORD(dfl, 0); // LHS top word
+ summ=DECTESTMSD[sourhil>>26]; // get first MSD for testing
+ bexpr=DECCOMBEXP[sourhil>>26]; // get exponent high bits (in place)
+ bexpr+=GETECON(dfl); // .. + continuation
+
+ sourhir=DFWORD(dfr, 0); // RHS top word
+ summ+=DECTESTMSD[sourhir>>26]; // sum MSDs for testing
+ bexpl=DECCOMBEXP[sourhir>>26];
+ bexpl+=GETECON(dfr);
+
+ // here bexpr has biased exponent from lhs, and vice versa
+
+ diffsign=(sourhil^sourhir)&DECFLOAT_Sign;
+
+ // now determine whether to take a fast path or the full-function
+ // slow path. The slow path must be taken when:
+ // -- both numbers are finite, and:
+ // the exponents are different, or
+ // the signs are different, or
+ // the sum of the MSDs is >8 (hence might overflow)
+ // specialness and the sum of the MSDs can be tested at once using
+ // the summ value just calculated, so the test for specials is no
+ // longer on the worst-case path (as of 3.60)
+
+ if (summ<=8) { // MSD+MSD is good, or there is a special
+ if (summ<0) { // there is a special
+ // Inf+Inf would give -64; Inf+finite is -32 or higher
+ if (summ<-64) return decNaNs(result, dfl, dfr, set); // one or two NaNs
+ // two infinities with different signs is invalid
+ if (summ==-64 && diffsign) return decInvalid(result, set);
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // LHS is infinite
+ return decInfinity(result, dfr); // RHS must be Inf
+ }
+ // Here when both arguments are finite; fast path is possible
+ // (currently only for aligned and same-sign)
+ if (bexpr==bexpl && !diffsign) {
+ uInt tac[DECLETS+1]; // base-1000 coefficient
+ uInt encode; // work
+
+ // Get one coefficient as base-1000 and add the other
+ GETCOEFFTHOU(dfl, tac); // least-significant goes to [0]
+ ADDCOEFFTHOU(dfr, tac);
+ // here the sum of the MSDs (plus any carry) will be <10 due to
+ // the fastpath test earlier
+
+ // construct the result; low word is the same for both formats
+ encode =BIN2DPD[tac[0]];
+ encode|=BIN2DPD[tac[1]]<<10;
+ encode|=BIN2DPD[tac[2]]<<20;
+ encode|=BIN2DPD[tac[3]]<<30;
+ DFWORD(result, (DECBYTES/4)-1)=encode;
+
+ // collect next two declets (all that remains, for Double)
+ encode =BIN2DPD[tac[3]]>>2;
+ encode|=BIN2DPD[tac[4]]<<8;
+
+ #if QUAD
+ // complete and lay out middling words
+ encode|=BIN2DPD[tac[5]]<<18;
+ encode|=BIN2DPD[tac[6]]<<28;
+ DFWORD(result, 2)=encode;
+
+ encode =BIN2DPD[tac[6]]>>4;
+ encode|=BIN2DPD[tac[7]]<<6;
+ encode|=BIN2DPD[tac[8]]<<16;
+ encode|=BIN2DPD[tac[9]]<<26;
+ DFWORD(result, 1)=encode;
+
+ // and final two declets
+ encode =BIN2DPD[tac[9]]>>6;
+ encode|=BIN2DPD[tac[10]]<<4;
+ #endif
+
+ // add exponent continuation and sign (from either argument)
+ encode|=sourhil & (ECONMASK | DECFLOAT_Sign);
+
+ // create lookup index = MSD + top two bits of biased exponent <<4
+ tac[DECLETS]|=(bexpl>>DECECONL)<<4;
+ encode|=DECCOMBFROM[tac[DECLETS]]; // add constructed combination field
+ DFWORD(result, 0)=encode; // complete
+
+ // decFloatShow(result, ">");
+ return result;
+ } // fast path OK
+ // drop through to slow path
+ } // low sum or Special(s)
+
+ /* Slow path required -- arguments are finite and might overflow, */
+ /* or require alignment, or might have different signs */
+
+ // now swap either exponents or argument pointers
+ if (bexpl<=bexpr) {
+ // original left is bigger
+ Int bexpswap=bexpl;
+ bexpl=bexpr;
+ bexpr=bexpswap;
+ // printf("left bigger\n");
+ }
+ else {
+ const decFloat *dfswap=dfl;
+ dfl=dfr;
+ dfr=dfswap;
+ // printf("right bigger\n");
+ }
+ // [here dfl and bexpl refer to the datum with the larger exponent,
+ // of if the exponents are equal then the original LHS argument]
+
+ // if lhs is zero then result will be the rhs (now known to have
+ // the smaller exponent), which also may need to be tested for zero
+ // for the weird IEEE 754 sign rules
+ if (DFISZERO(dfl)) {
+ decCanonical(result, dfr); // clean copy
+ // "When the sum of two operands with opposite signs is
+ // exactly zero, the sign of that sum shall be '+' in all
+ // rounding modes except round toward -Infinity, in which
+ // mode that sign shall be '-'."
+ if (diffsign && DFISZERO(result)) {
+ DFWORD(result, 0)&=~DECFLOAT_Sign; // assume sign 0
+ if (set->round==DEC_ROUND_FLOOR) DFWORD(result, 0)|=DECFLOAT_Sign;
+ }
+ return result;
+ } // numfl is zero
+ // [here, LHS is non-zero; code below assumes that]
+
+ // Coefficients layout during the calculations to follow:
+ //
+ // Overlap case:
+ // +------------------------------------------------+
+ // acc: |0000| coeffa | tail B | |
+ // +------------------------------------------------+
+ // buf: |0000| pad0s | coeffb | |
+ // +------------------------------------------------+
+ //
+ // Touching coefficients or gap:
+ // +------------------------------------------------+
+ // acc: |0000| coeffa | gap | coeffb |
+ // +------------------------------------------------+
+ // [buf not used or needed; gap clamped to Pmax]
+
+ // lay out lhs coefficient into accumulator; this starts at acc+4
+ // for decDouble or acc+6 for decQuad so the LSD is word-
+ // aligned; the top word gap is there only in case a carry digit
+ // is prefixed after the add -- it does not need to be zeroed
+ #if DOUBLE
+ #define COFF 4 // offset into acc
+ #elif QUAD
+ UBFROMUS(acc+4, 0); // prefix 00
+ #define COFF 6 // offset into acc
+ #endif
+
+ GETCOEFF(dfl, acc+COFF); // decode from decFloat
+ ulsd=acc+COFF+DECPMAX-1;
+ umsd=acc+4; // [having this here avoids
+
+ #if DECTRACE
+ {bcdnum tum;
+ tum.msd=umsd;
+ tum.lsd=ulsd;
+ tum.exponent=bexpl-DECBIAS;
+ tum.sign=DFWORD(dfl, 0) & DECFLOAT_Sign;
+ decShowNum(&tum, "dflx");}
+ #endif
+
+ // if signs differ, take ten's complement of lhs (here the
+ // coefficient is subtracted from all-nines; the 1 is added during
+ // the later add cycle -- zeros to the right do not matter because
+ // the complement of zero is zero); these are fixed-length inverts
+ // where the lsd is known to be at a 4-byte boundary (so no borrow
+ // possible)
+ carry=0; // assume no carry
+ if (diffsign) {
+ carry=CARRYPAT; // for +1 during add
+ UBFROMUI(acc+ 4, 0x09090909-UBTOUI(acc+ 4));
+ UBFROMUI(acc+ 8, 0x09090909-UBTOUI(acc+ 8));
+ UBFROMUI(acc+12, 0x09090909-UBTOUI(acc+12));
+ UBFROMUI(acc+16, 0x09090909-UBTOUI(acc+16));
+ #if QUAD
+ UBFROMUI(acc+20, 0x09090909-UBTOUI(acc+20));
+ UBFROMUI(acc+24, 0x09090909-UBTOUI(acc+24));
+ UBFROMUI(acc+28, 0x09090909-UBTOUI(acc+28));
+ UBFROMUI(acc+32, 0x09090909-UBTOUI(acc+32));
+ UBFROMUI(acc+36, 0x09090909-UBTOUI(acc+36));
+ #endif
+ } // diffsign
+
+ // now process the rhs coefficient; if it cannot overlap lhs then
+ // it can be put straight into acc (with an appropriate gap, if
+ // needed) because no actual addition will be needed (except
+ // possibly to complete ten's complement)
+ overlap=DECPMAX-(bexpl-bexpr);
+ #if DECTRACE
+ printf("exps: %ld %ld\n", (LI)(bexpl-DECBIAS), (LI)(bexpr-DECBIAS));
+ printf("Overlap=%ld carry=%08lx\n", (LI)overlap, (LI)carry);
+ #endif
+
+ if (overlap<=0) { // no overlap possible
+ uInt gap; // local work
+ // since a full addition is not needed, a ten's complement
+ // calculation started above may need to be completed
+ if (carry) {
+ for (ub=ulsd; *ub==9; ub--) *ub=0;
+ *ub+=1;
+ carry=0; // taken care of
+ }
+ // up to DECPMAX-1 digits of the final result can extend down
+ // below the LSD of the lhs, so if the gap is >DECPMAX then the
+ // rhs will be simply sticky bits. In this case the gap is
+ // clamped to DECPMAX and the exponent adjusted to suit [this is
+ // safe because the lhs is non-zero].
+ gap=-overlap;
+ if (gap>DECPMAX) {
+ bexpr+=gap-1;
+ gap=DECPMAX;
+ }
+ ub=ulsd+gap+1; // where MSD will go
+ // Fill the gap with 0s; note that there is no addition to do
+ ut=acc+COFF+DECPMAX; // start of gap
+ for (; ut<ub; ut+=4) UBFROMUI(ut, 0); // mind the gap
+ if (overlap<-DECPMAX) { // gap was > DECPMAX
+ *ub=(uByte)(!DFISZERO(dfr)); // make sticky digit
+ }
+ else { // need full coefficient
+ GETCOEFF(dfr, ub); // decode from decFloat
+ ub+=DECPMAX-1; // new LSD...
+ }
+ ulsd=ub; // save new LSD
+ } // no overlap possible
+
+ else { // overlap>0
+ // coefficients overlap (perhaps completely, although also
+ // perhaps only where zeros)
+ if (overlap==DECPMAX) { // aligned
+ ub=buf+COFF; // where msd will go
+ #if QUAD
+ UBFROMUS(buf+4, 0); // clear quad's 00
+ #endif
+ GETCOEFF(dfr, ub); // decode from decFloat
+ }
+ else { // unaligned
+ ub=buf+COFF+DECPMAX-overlap; // where MSD will go
+ // Fill the prefix gap with 0s; 8 will cover most common
+ // unalignments, so start with direct assignments (a loop is
+ // then used for any remaining -- the loop (and the one in a
+ // moment) is not then on the critical path because the number
+ // of additions is reduced by (at least) two in this case)
+ UBFROMUI(buf+4, 0); // [clears decQuad 00 too]
+ UBFROMUI(buf+8, 0);
+ if (ub>buf+12) {
+ ut=buf+12; // start any remaining
+ for (; ut<ub; ut+=4) UBFROMUI(ut, 0); // fill them
+ }
+ GETCOEFF(dfr, ub); // decode from decFloat
+
+ // now move tail of rhs across to main acc; again use direct
+ // copies for 8 digits-worth
+ UBFROMUI(acc+COFF+DECPMAX, UBTOUI(buf+COFF+DECPMAX));
+ UBFROMUI(acc+COFF+DECPMAX+4, UBTOUI(buf+COFF+DECPMAX+4));
+ if (buf+COFF+DECPMAX+8<ub+DECPMAX) {
+ us=buf+COFF+DECPMAX+8; // source
+ ut=acc+COFF+DECPMAX+8; // target
+ for (; us<ub+DECPMAX; us+=4, ut+=4) UBFROMUI(ut, UBTOUI(us));
+ }
+ } // unaligned
+
+ ulsd=acc+(ub-buf+DECPMAX-1); // update LSD pointer
+
+ // Now do the add of the non-tail; this is all nicely aligned,
+ // and is over a multiple of four digits (because for Quad two
+ // zero digits were added on the left); words in both acc and
+ // buf (buf especially) will often be zero
+ // [byte-by-byte add, here, is about 15% slower total effect than
+ // the by-fours]
+
+ // Now effect the add; this is harder on a little-endian
+ // machine as the inter-digit carry cannot use the usual BCD
+ // addition trick because the bytes are loaded in the wrong order
+ // [this loop could be unrolled, but probably scarcely worth it]
+
+ ut=acc+COFF+DECPMAX-4; // target LSW (acc)
+ us=buf+COFF+DECPMAX-4; // source LSW (buf, to add to acc)
+
+ #if !DECLITEND
+ for (; ut>=acc+4; ut-=4, us-=4) { // big-endian add loop
+ // bcd8 add
+ carry+=UBTOUI(us); // rhs + carry
+ if (carry==0) continue; // no-op
+ carry+=UBTOUI(ut); // lhs
+ // Big-endian BCD adjust (uses internal carry)
+ carry+=0x76f6f6f6; // note top nibble not all bits
+ // apply BCD adjust and save
+ UBFROMUI(ut, (carry & 0x0f0f0f0f) - ((carry & 0x60606060)>>4));
+ carry>>=31; // true carry was at far left
+ } // add loop
+ #else
+ for (; ut>=acc+4; ut-=4, us-=4) { // little-endian add loop
+ // bcd8 add
+ carry+=UBTOUI(us); // rhs + carry
+ if (carry==0) continue; // no-op [common if unaligned]
+ carry+=UBTOUI(ut); // lhs
+ // Little-endian BCD adjust; inter-digit carry must be manual
+ // because the lsb from the array will be in the most-significant
+ // byte of carry
+ carry+=0x76767676; // note no inter-byte carries
+ carry+=(carry & 0x80000000)>>15;
+ carry+=(carry & 0x00800000)>>15;
+ carry+=(carry & 0x00008000)>>15;
+ carry-=(carry & 0x60606060)>>4; // BCD adjust back
+ UBFROMUI(ut, carry & 0x0f0f0f0f); // clear debris and save
+ // here, final carry-out bit is at 0x00000080; move it ready
+ // for next word-add (i.e., to 0x01000000)
+ carry=(carry & 0x00000080)<<17;
+ } // add loop
+ #endif
+
+ #if DECTRACE
+ {bcdnum tum;
+ printf("Add done, carry=%08lx, diffsign=%ld\n", (LI)carry, (LI)diffsign);
+ tum.msd=umsd; // acc+4;
+ tum.lsd=ulsd;
+ tum.exponent=0;
+ tum.sign=0;
+ decShowNum(&tum, "dfadd");}
+ #endif
+ } // overlap possible
+
+ // ordering here is a little strange in order to have slowest path
+ // first in GCC asm listing
+ if (diffsign) { // subtraction
+ if (!carry) { // no carry out means RHS<LHS
+ // borrowed -- take ten's complement
+ // sign is lhs sign
+ num.sign=DFWORD(dfl, 0) & DECFLOAT_Sign;
+
+ // invert the coefficient first by fours, then add one; space
+ // at the end of the buffer ensures the by-fours is always
+ // safe, but lsd+1 must be cleared to prevent a borrow
+ // if big-endian
+ #if !DECLITEND
+ *(ulsd+1)=0;
+ #endif
+ // there are always at least four coefficient words
+ UBFROMUI(umsd, 0x09090909-UBTOUI(umsd));
+ UBFROMUI(umsd+4, 0x09090909-UBTOUI(umsd+4));
+ UBFROMUI(umsd+8, 0x09090909-UBTOUI(umsd+8));
+ UBFROMUI(umsd+12, 0x09090909-UBTOUI(umsd+12));
+ #if DOUBLE
+ #define BNEXT 16
+ #elif QUAD
+ UBFROMUI(umsd+16, 0x09090909-UBTOUI(umsd+16));
+ UBFROMUI(umsd+20, 0x09090909-UBTOUI(umsd+20));
+ UBFROMUI(umsd+24, 0x09090909-UBTOUI(umsd+24));
+ UBFROMUI(umsd+28, 0x09090909-UBTOUI(umsd+28));
+ UBFROMUI(umsd+32, 0x09090909-UBTOUI(umsd+32));
+ #define BNEXT 36
+ #endif
+ if (ulsd>=umsd+BNEXT) { // unaligned
+ // eight will handle most unaligments for Double; 16 for Quad
+ UBFROMUI(umsd+BNEXT, 0x09090909-UBTOUI(umsd+BNEXT));
+ UBFROMUI(umsd+BNEXT+4, 0x09090909-UBTOUI(umsd+BNEXT+4));
+ #if DOUBLE
+ #define BNEXTY (BNEXT+8)
+ #elif QUAD
+ UBFROMUI(umsd+BNEXT+8, 0x09090909-UBTOUI(umsd+BNEXT+8));
+ UBFROMUI(umsd+BNEXT+12, 0x09090909-UBTOUI(umsd+BNEXT+12));
+ #define BNEXTY (BNEXT+16)
+ #endif
+ if (ulsd>=umsd+BNEXTY) { // very unaligned
+ ut=umsd+BNEXTY; // -> continue
+ for (;;ut+=4) {
+ UBFROMUI(ut, 0x09090909-UBTOUI(ut)); // invert four digits
+ if (ut>=ulsd-3) break; // all done
+ }
+ }
+ }
+ // complete the ten's complement by adding 1
+ for (ub=ulsd; *ub==9; ub--) *ub=0;
+ *ub+=1;
+ } // borrowed
+
+ else { // carry out means RHS>=LHS
+ num.sign=DFWORD(dfr, 0) & DECFLOAT_Sign;
+ // all done except for the special IEEE 754 exact-zero-result
+ // rule (see above); while testing for zero, strip leading
+ // zeros (which will save decFinalize doing it) (this is in
+ // diffsign path, so carry impossible and true umsd is
+ // acc+COFF)
+
+ // Check the initial coefficient area using the fast macro;
+ // this will often be all that needs to be done (as on the
+ // worst-case path when the subtraction was aligned and
+ // full-length)
+ if (ISCOEFFZERO(acc+COFF)) {
+ umsd=acc+COFF+DECPMAX-1; // so far, so zero
+ if (ulsd>umsd) { // more to check
+ umsd++; // to align after checked area
+ for (; UBTOUI(umsd)==0 && umsd+3<ulsd;) umsd+=4;
+ for (; *umsd==0 && umsd<ulsd;) umsd++;
+ }
+ if (*umsd==0) { // must be true zero (and diffsign)
+ num.sign=0; // assume +
+ if (set->round==DEC_ROUND_FLOOR) num.sign=DECFLOAT_Sign;
+ }
+ }
+ // [else was not zero, might still have leading zeros]
+ } // subtraction gave positive result
+ } // diffsign
+
+ else { // same-sign addition
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ #if DOUBLE
+ if (carry) { // only possible with decDouble
+ *(acc+3)=1; // [Quad has leading 00]
+ umsd=acc+3;
+ }
+ #endif
+ } // same sign
+
+ num.msd=umsd; // set MSD ..
+ num.lsd=ulsd; // .. and LSD
+ num.exponent=bexpr-DECBIAS; // set exponent to smaller, unbiassed
+
+ #if DECTRACE
+ decFloatShow(dfl, "dfl");
+ decFloatShow(dfr, "dfr");
+ decShowNum(&num, "postadd");
+ #endif
+ return decFinalize(result, &num, set); // round, check, and lay out
+ } // decFloatAdd
+
+/* ------------------------------------------------------------------ */
+/* decFloatAnd -- logical digitwise AND of two decFloats */
+/* */
+/* result gets the result of ANDing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operands must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatAnd(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ if (!DFISUINT01(dfl) || !DFISUINT01(dfr)
+ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set);
+ // the operands are positive finite integers (q=0) with just 0s and 1s
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) & DFWORD(dfr, 0))&0x04009124);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) & DFWORD(dfr, 1))&0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) & DFWORD(dfr, 0))&0x04000912);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) & DFWORD(dfr, 1))&0x44912449;
+ DFWORD(result, 2)=(DFWORD(dfl, 2) & DFWORD(dfr, 2))&0x12449124;
+ DFWORD(result, 3)=(DFWORD(dfl, 3) & DFWORD(dfr, 3))&0x49124491;
+ #endif
+ return result;
+ } // decFloatAnd
+
+/* ------------------------------------------------------------------ */
+/* decFloatCanonical -- copy a decFloat, making canonical */
+/* */
+/* result gets the canonicalized df */
+/* df is the decFloat to copy and make canonical */
+/* returns result */
+/* */
+/* This works on specials, too; no error or exception is possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCanonical(decFloat *result, const decFloat *df) {
+ return decCanonical(result, df);
+ } // decFloatCanonical
+
+/* ------------------------------------------------------------------ */
+/* decFloatClass -- return the class of a decFloat */
+/* */
+/* df is the decFloat to test */
+/* returns the decClass that df falls into */
+/* ------------------------------------------------------------------ */
+enum decClass decFloatClass(const decFloat *df) {
+ Int exp; // exponent
+ if (DFISSPECIAL(df)) {
+ if (DFISQNAN(df)) return DEC_CLASS_QNAN;
+ if (DFISSNAN(df)) return DEC_CLASS_SNAN;
+ // must be an infinity
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_INF;
+ return DEC_CLASS_POS_INF;
+ }
+ if (DFISZERO(df)) { // quite common
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_ZERO;
+ return DEC_CLASS_POS_ZERO;
+ }
+ // is finite and non-zero; similar code to decFloatIsNormal, here
+ // [this could be speeded up slightly by in-lining decFloatDigits]
+ exp=GETEXPUN(df) // get unbiased exponent ..
+ +decFloatDigits(df)-1; // .. and make adjusted exponent
+ if (exp>=DECEMIN) { // is normal
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_NORMAL;
+ return DEC_CLASS_POS_NORMAL;
+ }
+ // is subnormal
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_SUBNORMAL;
+ return DEC_CLASS_POS_SUBNORMAL;
+ } // decFloatClass
+
+/* ------------------------------------------------------------------ */
+/* decFloatClassString -- return the class of a decFloat as a string */
+/* */
+/* df is the decFloat to test */
+/* returns a constant string describing the class df falls into */
+/* ------------------------------------------------------------------ */
+const char *decFloatClassString(const decFloat *df) {
+ enum decClass eclass=decFloatClass(df);
+ if (eclass==DEC_CLASS_POS_NORMAL) return DEC_ClassString_PN;
+ if (eclass==DEC_CLASS_NEG_NORMAL) return DEC_ClassString_NN;
+ if (eclass==DEC_CLASS_POS_ZERO) return DEC_ClassString_PZ;
+ if (eclass==DEC_CLASS_NEG_ZERO) return DEC_ClassString_NZ;
+ if (eclass==DEC_CLASS_POS_SUBNORMAL) return DEC_ClassString_PS;
+ if (eclass==DEC_CLASS_NEG_SUBNORMAL) return DEC_ClassString_NS;
+ if (eclass==DEC_CLASS_POS_INF) return DEC_ClassString_PI;
+ if (eclass==DEC_CLASS_NEG_INF) return DEC_ClassString_NI;
+ if (eclass==DEC_CLASS_QNAN) return DEC_ClassString_QN;
+ if (eclass==DEC_CLASS_SNAN) return DEC_ClassString_SN;
+ return DEC_ClassString_UN; // Unknown
+ } // decFloatClassString
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompare -- compare two decFloats; quiet NaNs allowed */
+/* */
+/* result gets the result of comparing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which may be -1, 0, 1, or NaN (Unordered) */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompare(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp; // work
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // numeric comparison needed
+ comp=decNumCompare(dfl, dfr, 0);
+ decFloatZero(result);
+ if (comp==0) return result;
+ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1
+ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit
+ return result;
+ } // decFloatCompare
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompareSignal -- compare two decFloats; all NaNs signal */
+/* */
+/* result gets the result of comparing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which may be -1, 0, 1, or NaN (Unordered) */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompareSignal(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp; // work
+ // NaNs are handled as usual, except that all NaNs signal
+ if (DFISNAN(dfl) || DFISNAN(dfr)) {
+ set->status|=DEC_Invalid_operation;
+ return decNaNs(result, dfl, dfr, set);
+ }
+ // numeric comparison needed
+ comp=decNumCompare(dfl, dfr, 0);
+ decFloatZero(result);
+ if (comp==0) return result;
+ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1
+ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit
+ return result;
+ } // decFloatCompareSignal
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompareTotal -- compare two decFloats with total ordering */
+/* */
+/* result gets the result of comparing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns result, which may be -1, 0, or 1 */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompareTotal(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr) {
+ Int comp; // work
+ uInt uiwork; // for macros
+ #if QUAD
+ uShort uswork; // ..
+ #endif
+ if (DFISNAN(dfl) || DFISNAN(dfr)) {
+ Int nanl, nanr; // work
+ // morph NaNs to +/- 1 or 2, leave numbers as 0
+ nanl=DFISSNAN(dfl)+DFISQNAN(dfl)*2; // quiet > signalling
+ if (DFISSIGNED(dfl)) nanl=-nanl;
+ nanr=DFISSNAN(dfr)+DFISQNAN(dfr)*2;
+ if (DFISSIGNED(dfr)) nanr=-nanr;
+ if (nanl>nanr) comp=+1;
+ else if (nanl<nanr) comp=-1;
+ else { // NaNs are the same type and sign .. must compare payload
+ // buffers need +2 for QUAD
+ uByte bufl[DECPMAX+4]; // for LHS coefficient + foot
+ uByte bufr[DECPMAX+4]; // for RHS coefficient + foot
+ uByte *ub, *uc; // work
+ Int sigl; // signum of LHS
+ sigl=(DFISSIGNED(dfl) ? -1 : +1);
+
+ // decode the coefficients
+ // (shift both right two if Quad to make a multiple of four)
+ #if QUAD
+ UBFROMUS(bufl, 0);
+ UBFROMUS(bufr, 0);
+ #endif
+ GETCOEFF(dfl, bufl+QUAD*2); // decode from decFloat
+ GETCOEFF(dfr, bufr+QUAD*2); // ..
+ // all multiples of four, here
+ comp=0; // assume equal
+ for (ub=bufl, uc=bufr; ub<bufl+DECPMAX+QUAD*2; ub+=4, uc+=4) {
+ uInt ui=UBTOUI(ub);
+ if (ui==UBTOUI(uc)) continue; // so far so same
+ // about to find a winner; go by bytes in case little-endian
+ for (;; ub++, uc++) {
+ if (*ub==*uc) continue;
+ if (*ub>*uc) comp=sigl; // difference found
+ else comp=-sigl; // ..
+ break;
+ }
+ }
+ } // same NaN type and sign
+ }
+ else {
+ // numeric comparison needed
+ comp=decNumCompare(dfl, dfr, 1); // total ordering
+ }
+ decFloatZero(result);
+ if (comp==0) return result;
+ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1
+ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit
+ return result;
+ } // decFloatCompareTotal
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompareTotalMag -- compare magnitudes with total ordering */
+/* */
+/* result gets the result of comparing abs(dfl) and abs(dfr) */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns result, which may be -1, 0, or 1 */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompareTotalMag(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr) {
+ decFloat a, b; // for copy if needed
+ // copy and redirect signed operand(s)
+ if (DFISSIGNED(dfl)) {
+ decFloatCopyAbs(&a, dfl);
+ dfl=&a;
+ }
+ if (DFISSIGNED(dfr)) {
+ decFloatCopyAbs(&b, dfr);
+ dfr=&b;
+ }
+ return decFloatCompareTotal(result, dfl, dfr);
+ } // decFloatCompareTotalMag
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopy -- copy a decFloat as-is */
+/* */
+/* result gets the copy of dfl */
+/* dfl is the decFloat to copy */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopy(decFloat *result, const decFloat *dfl) {
+ if (dfl!=result) *result=*dfl; // copy needed
+ return result;
+ } // decFloatCopy
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopyAbs -- copy a decFloat as-is and set sign bit to 0 */
+/* */
+/* result gets the copy of dfl with sign bit 0 */
+/* dfl is the decFloat to copy */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopyAbs(decFloat *result, const decFloat *dfl) {
+ if (dfl!=result) *result=*dfl; // copy needed
+ DFBYTE(result, 0)&=~0x80; // zero sign bit
+ return result;
+ } // decFloatCopyAbs
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopyNegate -- copy a decFloat as-is with inverted sign bit */
+/* */
+/* result gets the copy of dfl with sign bit inverted */
+/* dfl is the decFloat to copy */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopyNegate(decFloat *result, const decFloat *dfl) {
+ if (dfl!=result) *result=*dfl; // copy needed
+ DFBYTE(result, 0)^=0x80; // invert sign bit
+ return result;
+ } // decFloatCopyNegate
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopySign -- copy a decFloat with the sign of another */
+/* */
+/* result gets the result of copying dfl with the sign of dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopySign(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr) {
+ uByte sign=(uByte)(DFBYTE(dfr, 0)&0x80); // save sign bit
+ if (dfl!=result) *result=*dfl; // copy needed
+ DFBYTE(result, 0)&=~0x80; // clear sign ..
+ DFBYTE(result, 0)=(uByte)(DFBYTE(result, 0)|sign); // .. and set saved
+ return result;
+ } // decFloatCopySign
+
+/* ------------------------------------------------------------------ */
+/* decFloatDigits -- return the number of digits in a decFloat */
+/* */
+/* df is the decFloat to investigate */
+/* returns the number of significant digits in the decFloat; a */
+/* zero coefficient returns 1 as does an infinity (a NaN returns */
+/* the number of digits in the payload) */
+/* ------------------------------------------------------------------ */
+// private macro to extract a declet according to provided formula
+// (form), and if it is non-zero then return the calculated digits
+// depending on the declet number (n), where n=0 for the most
+// significant declet; uses uInt dpd for work
+#define dpdlenchk(n, form) dpd=(form)&0x3ff; \
+ if (dpd) return (DECPMAX-1-3*(n))-(3-DPD2BCD8[dpd*4+3])
+// next one is used when it is known that the declet must be
+// non-zero, or is the final zero declet
+#define dpdlendun(n, form) dpd=(form)&0x3ff; \
+ if (dpd==0) return 1; \
+ return (DECPMAX-1-3*(n))-(3-DPD2BCD8[dpd*4+3])
+
+uInt decFloatDigits(const decFloat *df) {
+ uInt dpd; // work
+ uInt sourhi=DFWORD(df, 0); // top word from source decFloat
+ #if QUAD
+ uInt sourmh, sourml;
+ #endif
+ uInt sourlo;
+
+ if (DFISINF(df)) return 1;
+ // A NaN effectively has an MSD of 0; otherwise if non-zero MSD
+ // then the coefficient is full-length
+ if (!DFISNAN(df) && DECCOMBMSD[sourhi>>26]) return DECPMAX;
+
+ #if DOUBLE
+ if (sourhi&0x0003ffff) { // ends in first
+ dpdlenchk(0, sourhi>>8);
+ sourlo=DFWORD(df, 1);
+ dpdlendun(1, (sourhi<<2) | (sourlo>>30));
+ } // [cannot drop through]
+ sourlo=DFWORD(df, 1); // sourhi not involved now
+ if (sourlo&0xfff00000) { // in one of first two
+ dpdlenchk(1, sourlo>>30); // very rare
+ dpdlendun(2, sourlo>>20);
+ } // [cannot drop through]
+ dpdlenchk(3, sourlo>>10);
+ dpdlendun(4, sourlo);
+ // [cannot drop through]
+
+ #elif QUAD
+ if (sourhi&0x00003fff) { // ends in first
+ dpdlenchk(0, sourhi>>4);
+ sourmh=DFWORD(df, 1);
+ dpdlendun(1, ((sourhi)<<6) | (sourmh>>26));
+ } // [cannot drop through]
+ sourmh=DFWORD(df, 1);
+ if (sourmh) {
+ dpdlenchk(1, sourmh>>26);
+ dpdlenchk(2, sourmh>>16);
+ dpdlenchk(3, sourmh>>6);
+ sourml=DFWORD(df, 2);
+ dpdlendun(4, ((sourmh)<<4) | (sourml>>28));
+ } // [cannot drop through]
+ sourml=DFWORD(df, 2);
+ if (sourml) {
+ dpdlenchk(4, sourml>>28);
+ dpdlenchk(5, sourml>>18);
+ dpdlenchk(6, sourml>>8);
+ sourlo=DFWORD(df, 3);
+ dpdlendun(7, ((sourml)<<2) | (sourlo>>30));
+ } // [cannot drop through]
+ sourlo=DFWORD(df, 3);
+ if (sourlo&0xfff00000) { // in one of first two
+ dpdlenchk(7, sourlo>>30); // very rare
+ dpdlendun(8, sourlo>>20);
+ } // [cannot drop through]
+ dpdlenchk(9, sourlo>>10);
+ dpdlendun(10, sourlo);
+ // [cannot drop through]
+ #endif
+ } // decFloatDigits
+
+/* ------------------------------------------------------------------ */
+/* decFloatDivide -- divide a decFloat by another */
+/* */
+/* result gets the result of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+// This is just a wrapper.
+decFloat * decFloatDivide(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, DIVIDE);
+ } // decFloatDivide
+
+/* ------------------------------------------------------------------ */
+/* decFloatDivideInteger -- integer divide a decFloat by another */
+/* */
+/* result gets the result of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatDivideInteger(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, DIVIDEINT);
+ } // decFloatDivideInteger
+
+/* ------------------------------------------------------------------ */
+/* decFloatFMA -- multiply and add three decFloats, fused */
+/* */
+/* result gets the result of (dfl*dfr)+dff with a single rounding */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* dff is the final decFloat (fhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFMA(decFloat *result, const decFloat *dfl,
+ const decFloat *dfr, const decFloat *dff,
+ decContext *set) {
+
+ // The accumulator has the bytes needed for FiniteMultiply, plus
+ // one byte to the left in case of carry, plus DECPMAX+2 to the
+ // right for the final addition (up to full fhs + round & sticky)
+ #define FMALEN (ROUNDUP4(1+ (DECPMAX9*18+1) +DECPMAX+2))
+ uByte acc[FMALEN]; // for multiplied coefficient in BCD
+ // .. and for final result
+ bcdnum mul; // for multiplication result
+ bcdnum fin; // for final operand, expanded
+ uByte coe[ROUNDUP4(DECPMAX)]; // dff coefficient in BCD
+ bcdnum *hi, *lo; // bcdnum with higher/lower exponent
+ uInt diffsign; // non-zero if signs differ
+ uInt hipad; // pad digit for hi if needed
+ Int padding; // excess exponent
+ uInt carry; // +1 for ten's complement and during add
+ uByte *ub, *uh, *ul; // work
+ uInt uiwork; // for macros
+
+ // handle all the special values [any special operand leads to a
+ // special result]
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr) || DFISSPECIAL(dff)) {
+ decFloat proxy; // multiplication result proxy
+ // NaNs are handled as usual, giving priority to sNaNs
+ if (DFISSNAN(dfl) || DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (DFISSNAN(dff)) return decNaNs(result, dff, NULL, set);
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (DFISNAN(dff)) return decNaNs(result, dff, NULL, set);
+ // One or more of the three is infinite
+ // infinity times zero is bad
+ decFloatZero(&proxy);
+ if (DFISINF(dfl)) {
+ if (DFISZERO(dfr)) return decInvalid(result, set);
+ decInfinity(&proxy, &proxy);
+ }
+ else if (DFISINF(dfr)) {
+ if (DFISZERO(dfl)) return decInvalid(result, set);
+ decInfinity(&proxy, &proxy);
+ }
+ // compute sign of multiplication and place in proxy
+ DFWORD(&proxy, 0)|=(DFWORD(dfl, 0)^DFWORD(dfr, 0))&DECFLOAT_Sign;
+ if (!DFISINF(dff)) return decFloatCopy(result, &proxy);
+ // dff is Infinite
+ if (!DFISINF(&proxy)) return decInfinity(result, dff);
+ // both sides of addition are infinite; different sign is bad
+ if ((DFWORD(dff, 0)&DECFLOAT_Sign)!=(DFWORD(&proxy, 0)&DECFLOAT_Sign))
+ return decInvalid(result, set);
+ return decFloatCopy(result, &proxy);
+ }
+
+ /* Here when all operands are finite */
+
+ // First multiply dfl*dfr
+ decFiniteMultiply(&mul, acc+1, dfl, dfr);
+ // The multiply is complete, exact and unbounded, and described in
+ // mul with the coefficient held in acc[1...]
+
+ // now add in dff; the algorithm is essentially the same as
+ // decFloatAdd, but the code is different because the code there
+ // is highly optimized for adding two numbers of the same size
+ fin.exponent=GETEXPUN(dff); // get dff exponent and sign
+ fin.sign=DFWORD(dff, 0)&DECFLOAT_Sign;
+ diffsign=mul.sign^fin.sign; // note if signs differ
+ fin.msd=coe;
+ fin.lsd=coe+DECPMAX-1;
+ GETCOEFF(dff, coe); // extract the coefficient
+
+ // now set hi and lo so that hi points to whichever of mul and fin
+ // has the higher exponent and lo points to the other [don't care,
+ // if the same]. One coefficient will be in acc, the other in coe.
+ if (mul.exponent>=fin.exponent) {
+ hi=&mul;
+ lo=&fin;
+ }
+ else {
+ hi=&fin;
+ lo=&mul;
+ }
+
+ // remove leading zeros on both operands; this will save time later
+ // and make testing for zero trivial (tests are safe because acc
+ // and coe are rounded up to uInts)
+ for (; UBTOUI(hi->msd)==0 && hi->msd+3<hi->lsd;) hi->msd+=4;
+ for (; *hi->msd==0 && hi->msd<hi->lsd;) hi->msd++;
+ for (; UBTOUI(lo->msd)==0 && lo->msd+3<lo->lsd;) lo->msd+=4;
+ for (; *lo->msd==0 && lo->msd<lo->lsd;) lo->msd++;
+
+ // if hi is zero then result will be lo (which has the smaller
+ // exponent), which also may need to be tested for zero for the
+ // weird IEEE 754 sign rules
+ if (*hi->msd==0) { // hi is zero
+ // "When the sum of two operands with opposite signs is
+ // exactly zero, the sign of that sum shall be '+' in all
+ // rounding modes except round toward -Infinity, in which
+ // mode that sign shall be '-'."
+ if (diffsign) {
+ if (*lo->msd==0) { // lo is zero
+ lo->sign=0;
+ if (set->round==DEC_ROUND_FLOOR) lo->sign=DECFLOAT_Sign;
+ } // diffsign && lo=0
+ } // diffsign
+ return decFinalize(result, lo, set); // may need clamping
+ } // numfl is zero
+ // [here, both are minimal length and hi is non-zero]
+ // (if lo is zero then padding with zeros may be needed, below)
+
+ // if signs differ, take the ten's complement of hi (zeros to the
+ // right do not matter because the complement of zero is zero); the
+ // +1 is done later, as part of the addition, inserted at the
+ // correct digit
+ hipad=0;
+ carry=0;
+ if (diffsign) {
+ hipad=9;
+ carry=1;
+ // exactly the correct number of digits must be inverted
+ for (uh=hi->msd; uh<hi->lsd-3; uh+=4) UBFROMUI(uh, 0x09090909-UBTOUI(uh));
+ for (; uh<=hi->lsd; uh++) *uh=(uByte)(0x09-*uh);
+ }
+
+ // ready to add; note that hi has no leading zeros so gap
+ // calculation does not have to be as pessimistic as in decFloatAdd
+ // (this is much more like the arbitrary-precision algorithm in
+ // Rexx and decNumber)
+
+ // padding is the number of zeros that would need to be added to hi
+ // for its lsd to be aligned with the lsd of lo
+ padding=hi->exponent-lo->exponent;
+ // printf("FMA pad %ld\n", (LI)padding);
+
+ // the result of the addition will be built into the accumulator,
+ // starting from the far right; this could be either hi or lo, and
+ // will be aligned
+ ub=acc+FMALEN-1; // where lsd of result will go
+ ul=lo->lsd; // lsd of rhs
+
+ if (padding!=0) { // unaligned
+ // if the msd of lo is more than DECPMAX+2 digits to the right of
+ // the original msd of hi then it can be reduced to a single
+ // digit at the right place, as it stays clear of hi digits
+ // [it must be DECPMAX+2 because during a subtraction the msd
+ // could become 0 after a borrow from 1.000 to 0.9999...]
+
+ Int hilen=(Int)(hi->lsd-hi->msd+1); // length of hi
+ Int lolen=(Int)(lo->lsd-lo->msd+1); // and of lo
+
+ if (hilen+padding-lolen > DECPMAX+2) { // can reduce lo to single
+ // make sure it is virtually at least DECPMAX from hi->msd, at
+ // least to right of hi->lsd (in case of destructive subtract),
+ // and separated by at least two digits from either of those
+ // (the tricky DOUBLE case is when hi is a 1 that will become a
+ // 0.9999... by subtraction:
+ // hi: 1 E+16
+ // lo: .................1000000000000000 E-16
+ // which for the addition pads to:
+ // hi: 1000000000000000000 E-16
+ // lo: .................1000000000000000 E-16
+ Int newexp=MINI(hi->exponent, hi->exponent+hilen-DECPMAX)-3;
+
+ // printf("FMA reduce: %ld\n", (LI)reduce);
+ lo->lsd=lo->msd; // to single digit [maybe 0]
+ lo->exponent=newexp; // new lowest exponent
+ padding=hi->exponent-lo->exponent; // recalculate
+ ul=lo->lsd; // .. and repoint
+ }
+
+ // padding is still > 0, but will fit in acc (less leading carry slot)
+ #if DECCHECK
+ if (padding<=0) printf("FMA low padding: %ld\n", (LI)padding);
+ if (hilen+padding+1>FMALEN)
+ printf("FMA excess hilen+padding: %ld+%ld \n", (LI)hilen, (LI)padding);
+ // printf("FMA padding: %ld\n", (LI)padding);
+ #endif
+
+ // padding digits can now be set in the result; one or more of
+ // these will come from lo; others will be zeros in the gap
+ for (; ul-3>=lo->msd && padding>3; padding-=4, ul-=4, ub-=4) {
+ UBFROMUI(ub-3, UBTOUI(ul-3)); // [cannot overlap]
+ }
+ for (; ul>=lo->msd && padding>0; padding--, ul--, ub--) *ub=*ul;
+ for (;padding>0; padding--, ub--) *ub=0; // mind the gap
+ }
+
+ // addition now complete to the right of the rightmost digit of hi
+ uh=hi->lsd;
+
+ // dow do the add from hi->lsd to the left
+ // [bytewise, because either operand can run out at any time]
+ // carry was set up depending on ten's complement above
+ // first assume both operands have some digits
+ for (;; ub--) {
+ if (uh<hi->msd || ul<lo->msd) break;
+ *ub=(uByte)(carry+(*uh--)+(*ul--));
+ carry=0;
+ if (*ub<10) continue;
+ *ub-=10;
+ carry=1;
+ } // both loop
+
+ if (ul<lo->msd) { // to left of lo
+ for (;; ub--) {
+ if (uh<hi->msd) break;
+ *ub=(uByte)(carry+(*uh--)); // [+0]
+ carry=0;
+ if (*ub<10) continue;
+ *ub-=10;
+ carry=1;
+ } // hi loop
+ }
+ else { // to left of hi
+ for (;; ub--) {
+ if (ul<lo->msd) break;
+ *ub=(uByte)(carry+hipad+(*ul--));
+ carry=0;
+ if (*ub<10) continue;
+ *ub-=10;
+ carry=1;
+ } // lo loop
+ }
+
+ // addition complete -- now handle carry, borrow, etc.
+ // use lo to set up the num (its exponent is already correct, and
+ // sign usually is)
+ lo->msd=ub+1;
+ lo->lsd=acc+FMALEN-1;
+ // decShowNum(lo, "lo");
+ if (!diffsign) { // same-sign addition
+ if (carry) { // carry out
+ *ub=1; // place the 1 ..
+ lo->msd--; // .. and update
+ }
+ } // same sign
+ else { // signs differed (subtraction)
+ if (!carry) { // no carry out means hi<lo
+ // borrowed -- take ten's complement of the right digits
+ lo->sign=hi->sign; // sign is lhs sign
+ for (ul=lo->msd; ul<lo->lsd-3; ul+=4) UBFROMUI(ul, 0x09090909-UBTOUI(ul));
+ for (; ul<=lo->lsd; ul++) *ul=(uByte)(0x09-*ul); // [leaves ul at lsd+1]
+ // complete the ten's complement by adding 1 [cannot overrun]
+ for (ul--; *ul==9; ul--) *ul=0;
+ *ul+=1;
+ } // borrowed
+ else { // carry out means hi>=lo
+ // sign to use is lo->sign
+ // all done except for the special IEEE 754 exact-zero-result
+ // rule (see above); while testing for zero, strip leading
+ // zeros (which will save decFinalize doing it)
+ for (; UBTOUI(lo->msd)==0 && lo->msd+3<lo->lsd;) lo->msd+=4;
+ for (; *lo->msd==0 && lo->msd<lo->lsd;) lo->msd++;
+ if (*lo->msd==0) { // must be true zero (and diffsign)
+ lo->sign=0; // assume +
+ if (set->round==DEC_ROUND_FLOOR) lo->sign=DECFLOAT_Sign;
+ }
+ // [else was not zero, might still have leading zeros]
+ } // subtraction gave positive result
+ } // diffsign
+
+ #if DECCHECK
+ // assert no left underrun
+ if (lo->msd<acc) {
+ printf("FMA underrun by %ld \n", (LI)(acc-lo->msd));
+ }
+ #endif
+
+ return decFinalize(result, lo, set); // round, check, and lay out
+ } // decFloatFMA
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromInt -- initialise a decFloat from an Int */
+/* */
+/* result gets the converted Int */
+/* n is the Int to convert */
+/* returns result */
+/* */
+/* The result is Exact; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromInt32(decFloat *result, Int n) {
+ uInt u=(uInt)n; // copy as bits
+ uInt encode; // work
+ DFWORD(result, 0)=ZEROWORD; // always
+ #if QUAD
+ DFWORD(result, 1)=0;
+ DFWORD(result, 2)=0;
+ #endif
+ if (n<0) { // handle -n with care
+ // [This can be done without the test, but is then slightly slower]
+ u=(~u)+1;
+ DFWORD(result, 0)|=DECFLOAT_Sign;
+ }
+ // Since the maximum value of u now is 2**31, only the low word of
+ // result is affected
+ encode=BIN2DPD[u%1000];
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<10;
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<20;
+ u/=1000; // now 0, 1, or 2
+ encode|=u<<30;
+ DFWORD(result, DECWORDS-1)=encode;
+ return result;
+ } // decFloatFromInt32
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromUInt -- initialise a decFloat from a uInt */
+/* */
+/* result gets the converted uInt */
+/* n is the uInt to convert */
+/* returns result */
+/* */
+/* The result is Exact; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromUInt32(decFloat *result, uInt u) {
+ uInt encode; // work
+ DFWORD(result, 0)=ZEROWORD; // always
+ #if QUAD
+ DFWORD(result, 1)=0;
+ DFWORD(result, 2)=0;
+ #endif
+ encode=BIN2DPD[u%1000];
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<10;
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<20;
+ u/=1000; // now 0 -> 4
+ encode|=u<<30;
+ DFWORD(result, DECWORDS-1)=encode;
+ DFWORD(result, DECWORDS-2)|=u>>2; // rarely non-zero
+ return result;
+ } // decFloatFromUInt32
+
+/* ------------------------------------------------------------------ */
+/* decFloatInvert -- logical digitwise INVERT of a decFloat */
+/* */
+/* result gets the result of INVERTing df */
+/* df is the decFloat to invert */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operand must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatInvert(decFloat *result, const decFloat *df,
+ decContext *set) {
+ uInt sourhi=DFWORD(df, 0); // top word of dfs
+
+ if (!DFISUINT01(df) || !DFISCC01(df)) return decInvalid(result, set);
+ // the operand is a finite integer (q=0)
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD|((~sourhi)&0x04009124);
+ DFWORD(result, 1)=(~DFWORD(df, 1)) &0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD|((~sourhi)&0x04000912);
+ DFWORD(result, 1)=(~DFWORD(df, 1)) &0x44912449;
+ DFWORD(result, 2)=(~DFWORD(df, 2)) &0x12449124;
+ DFWORD(result, 3)=(~DFWORD(df, 3)) &0x49124491;
+ #endif
+ return result;
+ } // decFloatInvert
+
+/* ------------------------------------------------------------------ */
+/* decFloatIs -- decFloat tests (IsSigned, etc.) */
+/* */
+/* df is the decFloat to test */
+/* returns 0 or 1 in a uInt */
+/* */
+/* Many of these could be macros, but having them as real functions */
+/* is a little cleaner (and they can be referred to here by the */
+/* generic names) */
+/* ------------------------------------------------------------------ */
+uInt decFloatIsCanonical(const decFloat *df) {
+ if (DFISSPECIAL(df)) {
+ if (DFISINF(df)) {
+ if (DFWORD(df, 0)&ECONMASK) return 0; // exponent continuation
+ if (!DFISCCZERO(df)) return 0; // coefficient continuation
+ return 1;
+ }
+ // is a NaN
+ if (DFWORD(df, 0)&ECONNANMASK) return 0; // exponent continuation
+ if (DFISCCZERO(df)) return 1; // coefficient continuation
+ // drop through to check payload
+ }
+ { // declare block
+ #if DOUBLE
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourlo=DFWORD(df, 1);
+ if (CANONDPDOFF(sourhi, 8)
+ && CANONDPDTWO(sourhi, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return 1;
+ #elif QUAD
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourmh=DFWORD(df, 1);
+ uInt sourml=DFWORD(df, 2);
+ uInt sourlo=DFWORD(df, 3);
+ if (CANONDPDOFF(sourhi, 4)
+ && CANONDPDTWO(sourhi, sourmh, 26)
+ && CANONDPDOFF(sourmh, 16)
+ && CANONDPDOFF(sourmh, 6)
+ && CANONDPDTWO(sourmh, sourml, 28)
+ && CANONDPDOFF(sourml, 18)
+ && CANONDPDOFF(sourml, 8)
+ && CANONDPDTWO(sourml, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return 1;
+ #endif
+ } // block
+ return 0; // a declet is non-canonical
+ }
+
+uInt decFloatIsFinite(const decFloat *df) {
+ return !DFISSPECIAL(df);
+ }
+uInt decFloatIsInfinite(const decFloat *df) {
+ return DFISINF(df);
+ }
+uInt decFloatIsInteger(const decFloat *df) {
+ return DFISINT(df);
+ }
+uInt decFloatIsLogical(const decFloat *df) {
+ return DFISUINT01(df) & DFISCC01(df);
+ }
+uInt decFloatIsNaN(const decFloat *df) {
+ return DFISNAN(df);
+ }
+uInt decFloatIsNegative(const decFloat *df) {
+ return DFISSIGNED(df) && !DFISZERO(df) && !DFISNAN(df);
+ }
+uInt decFloatIsNormal(const decFloat *df) {
+ Int exp; // exponent
+ if (DFISSPECIAL(df)) return 0;
+ if (DFISZERO(df)) return 0;
+ // is finite and non-zero
+ exp=GETEXPUN(df) // get unbiased exponent ..
+ +decFloatDigits(df)-1; // .. and make adjusted exponent
+ return (exp>=DECEMIN); // < DECEMIN is subnormal
+ }
+uInt decFloatIsPositive(const decFloat *df) {
+ return !DFISSIGNED(df) && !DFISZERO(df) && !DFISNAN(df);
+ }
+uInt decFloatIsSignaling(const decFloat *df) {
+ return DFISSNAN(df);
+ }
+uInt decFloatIsSignalling(const decFloat *df) {
+ return DFISSNAN(df);
+ }
+uInt decFloatIsSigned(const decFloat *df) {
+ return DFISSIGNED(df);
+ }
+uInt decFloatIsSubnormal(const decFloat *df) {
+ if (DFISSPECIAL(df)) return 0;
+ // is finite
+ if (decFloatIsNormal(df)) return 0;
+ // it is <Nmin, but could be zero
+ if (DFISZERO(df)) return 0;
+ return 1; // is subnormal
+ }
+uInt decFloatIsZero(const decFloat *df) {
+ return DFISZERO(df);
+ } // decFloatIs...
+
+/* ------------------------------------------------------------------ */
+/* decFloatLogB -- return adjusted exponent, by 754 rules */
+/* */
+/* result gets the adjusted exponent as an integer, or a NaN etc. */
+/* df is the decFloat to be examined */
+/* set is the context */
+/* returns result */
+/* */
+/* Notable cases: */
+/* A<0 -> Use |A| */
+/* A=0 -> -Infinity (Division by zero) */
+/* A=Infinite -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* NaNs are propagated as usual */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatLogB(decFloat *result, const decFloat *df,
+ decContext *set) {
+ Int ae; // adjusted exponent
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ if (DFISINF(df)) {
+ DFWORD(result, 0)=0; // need +ve
+ return decInfinity(result, result); // canonical +Infinity
+ }
+ if (DFISZERO(df)) {
+ set->status|=DEC_Division_by_zero; // as per 754
+ DFWORD(result, 0)=DECFLOAT_Sign; // make negative
+ return decInfinity(result, result); // canonical -Infinity
+ }
+ ae=GETEXPUN(df) // get unbiased exponent ..
+ +decFloatDigits(df)-1; // .. and make adjusted exponent
+ // ae has limited range (3 digits for DOUBLE and 4 for QUAD), so
+ // it is worth using a special case of decFloatFromInt32
+ DFWORD(result, 0)=ZEROWORD; // always
+ if (ae<0) {
+ DFWORD(result, 0)|=DECFLOAT_Sign; // -0 so far
+ ae=-ae;
+ }
+ #if DOUBLE
+ DFWORD(result, 1)=BIN2DPD[ae]; // a single declet
+ #elif QUAD
+ DFWORD(result, 1)=0;
+ DFWORD(result, 2)=0;
+ DFWORD(result, 3)=(ae/1000)<<10; // is <10, so need no DPD encode
+ DFWORD(result, 3)|=BIN2DPD[ae%1000];
+ #endif
+ return result;
+ } // decFloatLogB
+
+/* ------------------------------------------------------------------ */
+/* decFloatMax -- return maxnum of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* If just one operand is a quiet NaN it is ignored. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMax(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ if (DFISNAN(dfl)) {
+ // sNaN or both NaNs leads to normal NaN processing
+ if (DFISNAN(dfr) || DFISSNAN(dfl)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfr); // RHS is numeric
+ }
+ if (DFISNAN(dfr)) {
+ // sNaN leads to normal NaN processing (both NaN handled above)
+ if (DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfl); // LHS is numeric
+ }
+ // Both operands are numeric; numeric comparison needed -- use
+ // total order for a well-defined choice (and +0 > -0)
+ comp=decNumCompare(dfl, dfr, 1);
+ if (comp>=0) return decCanonical(result, dfl);
+ return decCanonical(result, dfr);
+ } // decFloatMax
+
+/* ------------------------------------------------------------------ */
+/* decFloatMaxMag -- return maxnummag of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* Returns according to the magnitude comparisons if both numeric and */
+/* unequal, otherwise returns maxnum */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMaxMag(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ decFloat absl, absr;
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decFloatMax(result, dfl, dfr, set);
+
+ decFloatCopyAbs(&absl, dfl);
+ decFloatCopyAbs(&absr, dfr);
+ comp=decNumCompare(&absl, &absr, 0);
+ if (comp>0) return decCanonical(result, dfl);
+ if (comp<0) return decCanonical(result, dfr);
+ return decFloatMax(result, dfl, dfr, set);
+ } // decFloatMaxMag
+
+/* ------------------------------------------------------------------ */
+/* decFloatMin -- return minnum of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* If just one operand is a quiet NaN it is ignored. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMin(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ if (DFISNAN(dfl)) {
+ // sNaN or both NaNs leads to normal NaN processing
+ if (DFISNAN(dfr) || DFISSNAN(dfl)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfr); // RHS is numeric
+ }
+ if (DFISNAN(dfr)) {
+ // sNaN leads to normal NaN processing (both NaN handled above)
+ if (DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfl); // LHS is numeric
+ }
+ // Both operands are numeric; numeric comparison needed -- use
+ // total order for a well-defined choice (and +0 > -0)
+ comp=decNumCompare(dfl, dfr, 1);
+ if (comp<=0) return decCanonical(result, dfl);
+ return decCanonical(result, dfr);
+ } // decFloatMin
+
+/* ------------------------------------------------------------------ */
+/* decFloatMinMag -- return minnummag of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* Returns according to the magnitude comparisons if both numeric and */
+/* unequal, otherwise returns minnum */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMinMag(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ decFloat absl, absr;
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decFloatMin(result, dfl, dfr, set);
+
+ decFloatCopyAbs(&absl, dfl);
+ decFloatCopyAbs(&absr, dfr);
+ comp=decNumCompare(&absl, &absr, 0);
+ if (comp<0) return decCanonical(result, dfl);
+ if (comp>0) return decCanonical(result, dfr);
+ return decFloatMin(result, dfl, dfr, set);
+ } // decFloatMinMag
+
+/* ------------------------------------------------------------------ */
+/* decFloatMinus -- negate value, heeding NaNs, etc. */
+/* */
+/* result gets the canonicalized 0-df */
+/* df is the decFloat to minus */
+/* set is the context */
+/* returns result */
+/* */
+/* This has the same effect as 0-df where the exponent of the zero is */
+/* the same as that of df (if df is finite). */
+/* The effect is also the same as decFloatCopyNegate except that NaNs */
+/* are handled normally (the sign of a NaN is not affected, and an */
+/* sNaN will signal), the result is canonical, and zero gets sign 0. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMinus(decFloat *result, const decFloat *df,
+ decContext *set) {
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ decCanonical(result, df); // copy and check
+ if (DFISZERO(df)) DFBYTE(result, 0)&=~0x80; // turn off sign bit
+ else DFBYTE(result, 0)^=0x80; // flip sign bit
+ return result;
+ } // decFloatMinus
+
+/* ------------------------------------------------------------------ */
+/* decFloatMultiply -- multiply two decFloats */
+/* */
+/* result gets the result of multiplying dfl and dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMultiply(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ bcdnum num; // for final conversion
+ uByte bcdacc[DECPMAX9*18+1]; // for coefficent in BCD
+
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) { // either is special?
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // infinity times zero is bad
+ if (DFISINF(dfl) && DFISZERO(dfr)) return decInvalid(result, set);
+ if (DFISINF(dfr) && DFISZERO(dfl)) return decInvalid(result, set);
+ // both infinite; return canonical infinity with computed sign
+ DFWORD(result, 0)=DFWORD(dfl, 0)^DFWORD(dfr, 0); // compute sign
+ return decInfinity(result, result);
+ }
+
+ /* Here when both operands are finite */
+ decFiniteMultiply(&num, bcdacc, dfl, dfr);
+ return decFinalize(result, &num, set); // round, check, and lay out
+ } // decFloatMultiply
+
+/* ------------------------------------------------------------------ */
+/* decFloatNextMinus -- next towards -Infinity */
+/* */
+/* result gets the next lesser decFloat */
+/* dfl is the decFloat to start with */
+/* set is the context */
+/* returns result */
+/* */
+/* This is 754 nextdown; Invalid is the only status possible (from */
+/* an sNaN). */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatNextMinus(decFloat *result, const decFloat *dfl,
+ decContext *set) {
+ decFloat delta; // tiny increment
+ uInt savestat; // saves status
+ enum rounding saveround; // .. and mode
+
+ // +Infinity is the special case
+ if (DFISINF(dfl) && !DFISSIGNED(dfl)) {
+ DFSETNMAX(result);
+ return result; // [no status to set]
+ }
+ // other cases are effected by sutracting a tiny delta -- this
+ // should be done in a wider format as the delta is unrepresentable
+ // here (but can be done with normal add if the sign of zero is
+ // treated carefully, because no Inexactitude is interesting);
+ // rounding to -Infinity then pushes the result to next below
+ decFloatZero(&delta); // set up tiny delta
+ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1
+ DFWORD(&delta, 0)=DECFLOAT_Sign; // Sign=1 + biased exponent=0
+ // set up for the directional round
+ saveround=set->round; // save mode
+ set->round=DEC_ROUND_FLOOR; // .. round towards -Infinity
+ savestat=set->status; // save status
+ decFloatAdd(result, dfl, &delta, set);
+ // Add rules mess up the sign when going from +Ntiny to 0
+ if (DFISZERO(result)) DFWORD(result, 0)^=DECFLOAT_Sign; // correct
+ set->status&=DEC_Invalid_operation; // preserve only sNaN status
+ set->status|=savestat; // restore pending flags
+ set->round=saveround; // .. and mode
+ return result;
+ } // decFloatNextMinus
+
+/* ------------------------------------------------------------------ */
+/* decFloatNextPlus -- next towards +Infinity */
+/* */
+/* result gets the next larger decFloat */
+/* dfl is the decFloat to start with */
+/* set is the context */
+/* returns result */
+/* */
+/* This is 754 nextup; Invalid is the only status possible (from */
+/* an sNaN). */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatNextPlus(decFloat *result, const decFloat *dfl,
+ decContext *set) {
+ uInt savestat; // saves status
+ enum rounding saveround; // .. and mode
+ decFloat delta; // tiny increment
+
+ // -Infinity is the special case
+ if (DFISINF(dfl) && DFISSIGNED(dfl)) {
+ DFSETNMAX(result);
+ DFWORD(result, 0)|=DECFLOAT_Sign; // make negative
+ return result; // [no status to set]
+ }
+ // other cases are effected by sutracting a tiny delta -- this
+ // should be done in a wider format as the delta is unrepresentable
+ // here (but can be done with normal add if the sign of zero is
+ // treated carefully, because no Inexactitude is interesting);
+ // rounding to +Infinity then pushes the result to next above
+ decFloatZero(&delta); // set up tiny delta
+ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1
+ DFWORD(&delta, 0)=0; // Sign=0 + biased exponent=0
+ // set up for the directional round
+ saveround=set->round; // save mode
+ set->round=DEC_ROUND_CEILING; // .. round towards +Infinity
+ savestat=set->status; // save status
+ decFloatAdd(result, dfl, &delta, set);
+ // Add rules mess up the sign when going from -Ntiny to -0
+ if (DFISZERO(result)) DFWORD(result, 0)^=DECFLOAT_Sign; // correct
+ set->status&=DEC_Invalid_operation; // preserve only sNaN status
+ set->status|=savestat; // restore pending flags
+ set->round=saveround; // .. and mode
+ return result;
+ } // decFloatNextPlus
+
+/* ------------------------------------------------------------------ */
+/* decFloatNextToward -- next towards a decFloat */
+/* */
+/* result gets the next decFloat */
+/* dfl is the decFloat to start with */
+/* dfr is the decFloat to move toward */
+/* set is the context */
+/* returns result */
+/* */
+/* This is 754-1985 nextafter, as modified during revision (dropped */
+/* from 754-2008); status may be set unless the result is a normal */
+/* number. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatNextToward(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ decFloat delta; // tiny increment or decrement
+ decFloat pointone; // 1e-1
+ uInt savestat; // saves status
+ enum rounding saveround; // .. and mode
+ uInt deltatop; // top word for delta
+ Int comp; // work
+
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // Both are numeric, so Invalid no longer a possibility
+ comp=decNumCompare(dfl, dfr, 0);
+ if (comp==0) return decFloatCopySign(result, dfl, dfr); // equal
+ // unequal; do NextPlus or NextMinus but with different status rules
+
+ if (comp<0) { // lhs<rhs, do NextPlus, see above for commentary
+ if (DFISINF(dfl) && DFISSIGNED(dfl)) { // -Infinity special case
+ DFSETNMAX(result);
+ DFWORD(result, 0)|=DECFLOAT_Sign;
+ return result;
+ }
+ saveround=set->round; // save mode
+ set->round=DEC_ROUND_CEILING; // .. round towards +Infinity
+ deltatop=0; // positive delta
+ }
+ else { // lhs>rhs, do NextMinus, see above for commentary
+ if (DFISINF(dfl) && !DFISSIGNED(dfl)) { // +Infinity special case
+ DFSETNMAX(result);
+ return result;
+ }
+ saveround=set->round; // save mode
+ set->round=DEC_ROUND_FLOOR; // .. round towards -Infinity
+ deltatop=DECFLOAT_Sign; // negative delta
+ }
+ savestat=set->status; // save status
+ // Here, Inexact is needed where appropriate (and hence Underflow,
+ // etc.). Therefore the tiny delta which is otherwise
+ // unrepresentable (see NextPlus and NextMinus) is constructed
+ // using the multiplication of FMA.
+ decFloatZero(&delta); // set up tiny delta
+ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1
+ DFWORD(&delta, 0)=deltatop; // Sign + biased exponent=0
+ decFloatFromString(&pointone, "1E-1", set); // set up multiplier
+ decFloatFMA(result, &delta, &pointone, dfl, set);
+ // [Delta is truly tiny, so no need to correct sign of zero]
+ // use new status unless the result is normal
+ if (decFloatIsNormal(result)) set->status=savestat; // else goes forward
+ set->round=saveround; // restore mode
+ return result;
+ } // decFloatNextToward
+
+/* ------------------------------------------------------------------ */
+/* decFloatOr -- logical digitwise OR of two decFloats */
+/* */
+/* result gets the result of ORing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operands must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatOr(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ if (!DFISUINT01(dfl) || !DFISUINT01(dfr)
+ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set);
+ // the operands are positive finite integers (q=0) with just 0s and 1s
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) | DFWORD(dfr, 0))&0x04009124);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) | DFWORD(dfr, 1))&0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) | DFWORD(dfr, 0))&0x04000912);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) | DFWORD(dfr, 1))&0x44912449;
+ DFWORD(result, 2)=(DFWORD(dfl, 2) | DFWORD(dfr, 2))&0x12449124;
+ DFWORD(result, 3)=(DFWORD(dfl, 3) | DFWORD(dfr, 3))&0x49124491;
+ #endif
+ return result;
+ } // decFloatOr
+
+/* ------------------------------------------------------------------ */
+/* decFloatPlus -- add value to 0, heeding NaNs, etc. */
+/* */
+/* result gets the canonicalized 0+df */
+/* df is the decFloat to plus */
+/* set is the context */
+/* returns result */
+/* */
+/* This has the same effect as 0+df where the exponent of the zero is */
+/* the same as that of df (if df is finite). */
+/* The effect is also the same as decFloatCopy except that NaNs */
+/* are handled normally (the sign of a NaN is not affected, and an */
+/* sNaN will signal), the result is canonical, and zero gets sign 0. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatPlus(decFloat *result, const decFloat *df,
+ decContext *set) {
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ decCanonical(result, df); // copy and check
+ if (DFISZERO(df)) DFBYTE(result, 0)&=~0x80; // turn off sign bit
+ return result;
+ } // decFloatPlus
+
+/* ------------------------------------------------------------------ */
+/* decFloatQuantize -- quantize a decFloat */
+/* */
+/* result gets the result of quantizing dfl to match dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs), which sets the exponent */
+/* set is the context */
+/* returns result */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* of result is guaranteed to be the same as that of dfr. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatQuantize(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int explb, exprb; // left and right biased exponents
+ uByte *ulsd; // local LSD pointer
+ uByte *ub, *uc; // work
+ Int drop; // ..
+ uInt dpd; // ..
+ uInt encode; // encoding accumulator
+ uInt sourhil, sourhir; // top words from source decFloats
+ uInt uiwork; // for macros
+ #if QUAD
+ uShort uswork; // ..
+ #endif
+ // the following buffer holds the coefficient for manipulation
+ uByte buf[4+DECPMAX*3+2*QUAD]; // + space for zeros to left or right
+ #if DECTRACE
+ bcdnum num; // for trace displays
+ #endif
+
+ /* Start decoding the arguments */
+ sourhil=DFWORD(dfl, 0); // LHS top word
+ explb=DECCOMBEXP[sourhil>>26]; // get exponent high bits (in place)
+ sourhir=DFWORD(dfr, 0); // RHS top word
+ exprb=DECCOMBEXP[sourhir>>26];
+
+ if (EXPISSPECIAL(explb | exprb)) { // either is special?
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // one infinity but not both is bad
+ if (DFISINF(dfl)!=DFISINF(dfr)) return decInvalid(result, set);
+ // both infinite; return canonical infinity with sign of LHS
+ return decInfinity(result, dfl);
+ }
+
+ /* Here when both arguments are finite */
+ // complete extraction of the exponents [no need to unbias]
+ explb+=GETECON(dfl); // + continuation
+ exprb+=GETECON(dfr); // ..
+
+ // calculate the number of digits to drop from the coefficient
+ drop=exprb-explb; // 0 if nothing to do
+ if (drop==0) return decCanonical(result, dfl); // return canonical
+
+ // the coefficient is needed; lay it out into buf, offset so zeros
+ // can be added before or after as needed -- an extra heading is
+ // added so can safely pad Quad DECPMAX-1 zeros to the left by
+ // fours
+ #define BUFOFF (buf+4+DECPMAX)
+ GETCOEFF(dfl, BUFOFF); // decode from decFloat
+ // [now the msd is at BUFOFF and the lsd is at BUFOFF+DECPMAX-1]
+
+ #if DECTRACE
+ num.msd=BUFOFF;
+ num.lsd=BUFOFF+DECPMAX-1;
+ num.exponent=explb-DECBIAS;
+ num.sign=sourhil & DECFLOAT_Sign;
+ decShowNum(&num, "dfl");
+ #endif
+
+ if (drop>0) { // [most common case]
+ // (this code is very similar to that in decFloatFinalize, but
+ // has many differences so is duplicated here -- so any changes
+ // may need to be made there, too)
+ uByte *roundat; // -> re-round digit
+ uByte reround; // reround value
+ // printf("Rounding; drop=%ld\n", (LI)drop);
+
+ // there is at least one zero needed to the left, in all but one
+ // exceptional (all-nines) case, so place four zeros now; this is
+ // needed almost always and makes rounding all-nines by fours safe
+ UBFROMUI(BUFOFF-4, 0);
+
+ // Three cases here:
+ // 1. new LSD is in coefficient (almost always)
+ // 2. new LSD is digit to left of coefficient (so MSD is
+ // round-for-reround digit)
+ // 3. new LSD is to left of case 2 (whole coefficient is sticky)
+ // Note that leading zeros can safely be treated as useful digits
+
+ // [duplicate check-stickies code to save a test]
+ // [by-digit check for stickies as runs of zeros are rare]
+ if (drop<DECPMAX) { // NB lengths not addresses
+ roundat=BUFOFF+DECPMAX-drop;
+ reround=*roundat;
+ for (ub=roundat+1; ub<BUFOFF+DECPMAX; ub++) {
+ if (*ub!=0) { // non-zero to be discarded
+ reround=DECSTICKYTAB[reround]; // apply sticky bit
+ break; // [remainder don't-care]
+ }
+ } // check stickies
+ ulsd=roundat-1; // set LSD
+ }
+ else { // edge case
+ if (drop==DECPMAX) {
+ roundat=BUFOFF;
+ reround=*roundat;
+ }
+ else {
+ roundat=BUFOFF-1;
+ reround=0;
+ }
+ for (ub=roundat+1; ub<BUFOFF+DECPMAX; ub++) {
+ if (*ub!=0) { // non-zero to be discarded
+ reround=DECSTICKYTAB[reround]; // apply sticky bit
+ break; // [remainder don't-care]
+ }
+ } // check stickies
+ *BUFOFF=0; // make a coefficient of 0
+ ulsd=BUFOFF; // .. at the MSD place
+ }
+
+ if (reround!=0) { // discarding non-zero
+ uInt bump=0;
+ set->status|=DEC_Inexact;
+
+ // next decide whether to increment the coefficient
+ if (set->round==DEC_ROUND_HALF_EVEN) { // fastpath slowest case
+ if (reround>5) bump=1; // >0.5 goes up
+ else if (reround==5) // exactly 0.5000 ..
+ bump=*ulsd & 0x01; // .. up iff [new] lsd is odd
+ } // r-h-e
+ else switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ // no change
+ break;} // r-d
+ case DEC_ROUND_HALF_DOWN: {
+ if (reround>5) bump=1;
+ break;} // r-h-d
+ case DEC_ROUND_HALF_UP: {
+ if (reround>=5) bump=1;
+ break;} // r-h-u
+ case DEC_ROUND_UP: {
+ if (reround>0) bump=1;
+ break;} // r-u
+ case DEC_ROUND_CEILING: {
+ // same as _UP for positive numbers, and as _DOWN for negatives
+ if (!(sourhil&DECFLOAT_Sign) && reround>0) bump=1;
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ // same as _UP for negative numbers, and as _DOWN for positive
+ // [negative reround cannot occur on 0]
+ if (sourhil&DECFLOAT_Sign && reround>0) bump=1;
+ break;} // r-f
+ case DEC_ROUND_05UP: {
+ if (reround>0) { // anything out there is 'sticky'
+ // bump iff lsd=0 or 5; this cannot carry so it could be
+ // effected immediately with no bump -- but the code
+ // is clearer if this is done the same way as the others
+ if (*ulsd==0 || *ulsd==5) bump=1;
+ }
+ break;} // r-r
+ default: { // e.g., DEC_ROUND_MAX
+ set->status|=DEC_Invalid_context;
+ #if DECCHECK
+ printf("Unknown rounding mode: %ld\n", (LI)set->round);
+ #endif
+ break;}
+ } // switch (not r-h-e)
+ // printf("ReRound: %ld bump: %ld\n", (LI)reround, (LI)bump);
+
+ if (bump!=0) { // need increment
+ // increment the coefficient; this could give 1000... (after
+ // the all nines case)
+ ub=ulsd;
+ for (; UBTOUI(ub-3)==0x09090909; ub-=4) UBFROMUI(ub-3, 0);
+ // now at most 3 digits left to non-9 (usually just the one)
+ for (; *ub==9; ub--) *ub=0;
+ *ub+=1;
+ // [the all-nines case will have carried one digit to the
+ // left of the original MSD -- just where it is needed]
+ } // bump needed
+ } // inexact rounding
+
+ // now clear zeros to the left so exactly DECPMAX digits will be
+ // available in the coefficent -- the first word to the left was
+ // cleared earlier for safe carry; now add any more needed
+ if (drop>4) {
+ UBFROMUI(BUFOFF-8, 0); // must be at least 5
+ for (uc=BUFOFF-12; uc>ulsd-DECPMAX-3; uc-=4) UBFROMUI(uc, 0);
+ }
+ } // need round (drop>0)
+
+ else { // drop<0; padding with -drop digits is needed
+ // This is the case where an error can occur if the padded
+ // coefficient will not fit; checking for this can be done in the
+ // same loop as padding for zeros if the no-hope and zero cases
+ // are checked first
+ if (-drop>DECPMAX-1) { // cannot fit unless 0
+ if (!ISCOEFFZERO(BUFOFF)) return decInvalid(result, set);
+ // a zero can have any exponent; just drop through and use it
+ ulsd=BUFOFF+DECPMAX-1;
+ }
+ else { // padding will fit (but may still be too long)
+ // final-word mask depends on endianess
+ #if DECLITEND
+ static const uInt dmask[]={0, 0x000000ff, 0x0000ffff, 0x00ffffff};
+ #else
+ static const uInt dmask[]={0, 0xff000000, 0xffff0000, 0xffffff00};
+ #endif
+ // note that here zeros to the right are added by fours, so in
+ // the Quad case this could write 36 zeros if the coefficient has
+ // fewer than three significant digits (hence the +2*QUAD for buf)
+ for (uc=BUFOFF+DECPMAX;; uc+=4) {
+ UBFROMUI(uc, 0);
+ if (UBTOUI(uc-DECPMAX)!=0) { // could be bad
+ // if all four digits should be zero, definitely bad
+ if (uc<=BUFOFF+DECPMAX+(-drop)-4)
+ return decInvalid(result, set);
+ // must be a 1- to 3-digit sequence; check more carefully
+ if ((UBTOUI(uc-DECPMAX)&dmask[(-drop)%4])!=0)
+ return decInvalid(result, set);
+ break; // no need for loop end test
+ }
+ if (uc>=BUFOFF+DECPMAX+(-drop)-4) break; // done
+ }
+ ulsd=BUFOFF+DECPMAX+(-drop)-1;
+ } // pad and check leading zeros
+ } // drop<0
+
+ #if DECTRACE
+ num.msd=ulsd-DECPMAX+1;
+ num.lsd=ulsd;
+ num.exponent=explb-DECBIAS;
+ num.sign=sourhil & DECFLOAT_Sign;
+ decShowNum(&num, "res");
+ #endif
+
+ /*------------------------------------------------------------------*/
+ /* At this point the result is DECPMAX digits, ending at ulsd, so */
+ /* fits the encoding exactly; there is no possibility of error */
+ /*------------------------------------------------------------------*/
+ encode=((exprb>>DECECONL)<<4) + *(ulsd-DECPMAX+1); // make index
+ encode=DECCOMBFROM[encode]; // indexed by (0-2)*16+msd
+ // the exponent continuation can be extracted from the original RHS
+ encode|=sourhir & ECONMASK;
+ encode|=sourhil&DECFLOAT_Sign; // add the sign from LHS
+
+ // finally encode the coefficient
+ // private macro to encode a declet; this version can be used
+ // because all coefficient digits exist
+ #define getDPD3q(dpd, n) ub=ulsd-(3*(n))-2; \
+ dpd=BCD2DPD[(*ub*256)+(*(ub+1)*16)+*(ub+2)];
+
+ #if DOUBLE
+ getDPD3q(dpd, 4); encode|=dpd<<8;
+ getDPD3q(dpd, 3); encode|=dpd>>2;
+ DFWORD(result, 0)=encode;
+ encode=dpd<<30;
+ getDPD3q(dpd, 2); encode|=dpd<<20;
+ getDPD3q(dpd, 1); encode|=dpd<<10;
+ getDPD3q(dpd, 0); encode|=dpd;
+ DFWORD(result, 1)=encode;
+
+ #elif QUAD
+ getDPD3q(dpd,10); encode|=dpd<<4;
+ getDPD3q(dpd, 9); encode|=dpd>>6;
+ DFWORD(result, 0)=encode;
+ encode=dpd<<26;
+ getDPD3q(dpd, 8); encode|=dpd<<16;
+ getDPD3q(dpd, 7); encode|=dpd<<6;
+ getDPD3q(dpd, 6); encode|=dpd>>4;
+ DFWORD(result, 1)=encode;
+ encode=dpd<<28;
+ getDPD3q(dpd, 5); encode|=dpd<<18;
+ getDPD3q(dpd, 4); encode|=dpd<<8;
+ getDPD3q(dpd, 3); encode|=dpd>>2;
+ DFWORD(result, 2)=encode;
+ encode=dpd<<30;
+ getDPD3q(dpd, 2); encode|=dpd<<20;
+ getDPD3q(dpd, 1); encode|=dpd<<10;
+ getDPD3q(dpd, 0); encode|=dpd;
+ DFWORD(result, 3)=encode;
+ #endif
+ return result;
+ } // decFloatQuantize
+
+/* ------------------------------------------------------------------ */
+/* decFloatReduce -- reduce finite coefficient to minimum length */
+/* */
+/* result gets the reduced decFloat */
+/* df is the source decFloat */
+/* set is the context */
+/* returns result, which will be canonical */
+/* */
+/* This removes all possible trailing zeros from the coefficient; */
+/* some may remain when the number is very close to Nmax. */
+/* Special values are unchanged and no status is set unless df=sNaN. */
+/* Reduced zero has an exponent q=0. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatReduce(decFloat *result, const decFloat *df,
+ decContext *set) {
+ bcdnum num; // work
+ uByte buf[DECPMAX], *ub; // coefficient and pointer
+ if (df!=result) *result=*df; // copy, if needed
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); // sNaN
+ // zeros and infinites propagate too
+ if (DFISINF(df)) return decInfinity(result, df); // canonical
+ if (DFISZERO(df)) {
+ uInt sign=DFWORD(df, 0)&DECFLOAT_Sign;
+ decFloatZero(result);
+ DFWORD(result, 0)|=sign;
+ return result; // exponent dropped, sign OK
+ }
+ // non-zero finite
+ GETCOEFF(df, buf);
+ ub=buf+DECPMAX-1; // -> lsd
+ if (*ub) return result; // no trailing zeros
+ for (ub--; *ub==0;) ub--; // terminates because non-zero
+ // *ub is the first non-zero from the right
+ num.sign=DFWORD(df, 0)&DECFLOAT_Sign; // set up number...
+ num.exponent=GETEXPUN(df)+(Int)(buf+DECPMAX-1-ub); // adjusted exponent
+ num.msd=buf;
+ num.lsd=ub;
+ return decFinalize(result, &num, set);
+ } // decFloatReduce
+
+/* ------------------------------------------------------------------ */
+/* decFloatRemainder -- integer divide and return remainder */
+/* */
+/* result gets the remainder of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatRemainder(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, REMAINDER);
+ } // decFloatRemainder
+
+/* ------------------------------------------------------------------ */
+/* decFloatRemainderNear -- integer divide to nearest and remainder */
+/* */
+/* result gets the remainder of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* This is the IEEE remainder, where the nearest integer is used. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatRemainderNear(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, REMNEAR);
+ } // decFloatRemainderNear
+
+/* ------------------------------------------------------------------ */
+/* decFloatRotate -- rotate the coefficient of a decFloat left/right */
+/* */
+/* result gets the result of rotating dfl */
+/* dfl is the source decFloat to rotate */
+/* dfr is the count of digits to rotate, an integer (with q=0) */
+/* set is the context */
+/* returns result */
+/* */
+/* The digits of the coefficient of dfl are rotated to the left (if */
+/* dfr is positive) or to the right (if dfr is negative) without */
+/* adjusting the exponent or the sign of dfl. */
+/* */
+/* dfr must be in the range -DECPMAX through +DECPMAX. */
+/* NaNs are propagated as usual. An infinite dfl is unaffected (but */
+/* dfr must be valid). No status is set unless dfr is invalid or an */
+/* operand is an sNaN. The result is canonical. */
+/* ------------------------------------------------------------------ */
+#define PHALF (ROUNDUP(DECPMAX/2, 4)) // half length, rounded up
+decFloat * decFloatRotate(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int rotate; // dfr as an Int
+ uByte buf[DECPMAX+PHALF]; // coefficient + half
+ uInt digits, savestat; // work
+ bcdnum num; // ..
+ uByte *ub; // ..
+
+ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (!DFISINT(dfr)) return decInvalid(result, set);
+ digits=decFloatDigits(dfr); // calculate digits
+ if (digits>2) return decInvalid(result, set); // definitely out of range
+ rotate=DPD2BIN[DFWORD(dfr, DECWORDS-1)&0x3ff]; // is in bottom declet
+ if (rotate>DECPMAX) return decInvalid(result, set); // too big
+ // [from here on no error or status change is possible]
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical
+ // handle no-rotate cases
+ if (rotate==0 || rotate==DECPMAX) return decCanonical(result, dfl);
+ // a real rotate is needed: 0 < rotate < DECPMAX
+ // reduce the rotation to no more than half to reduce copying later
+ // (for QUAD in fact half + 2 digits)
+ if (DFISSIGNED(dfr)) rotate=-rotate;
+ if (abs(rotate)>PHALF) {
+ if (rotate<0) rotate=DECPMAX+rotate;
+ else rotate=rotate-DECPMAX;
+ }
+ // now lay out the coefficient, leaving room to the right or the
+ // left depending on the direction of rotation
+ ub=buf;
+ if (rotate<0) ub+=PHALF; // rotate right, so space to left
+ GETCOEFF(dfl, ub);
+ // copy half the digits to left or right, and set num.msd
+ if (rotate<0) {
+ memcpy(buf, buf+DECPMAX, PHALF);
+ num.msd=buf+PHALF+rotate;
+ }
+ else {
+ memcpy(buf+DECPMAX, buf, PHALF);
+ num.msd=buf+rotate;
+ }
+ // fill in rest of num
+ num.lsd=num.msd+DECPMAX-1;
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ num.exponent=GETEXPUN(dfl);
+ savestat=set->status; // record
+ decFinalize(result, &num, set);
+ set->status=savestat; // restore
+ return result;
+ } // decFloatRotate
+
+/* ------------------------------------------------------------------ */
+/* decFloatSameQuantum -- test decFloats for same quantum */
+/* */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns 1 if the operands have the same quantum, 0 otherwise */
+/* */
+/* No error is possible and no status results. */
+/* ------------------------------------------------------------------ */
+uInt decFloatSameQuantum(const decFloat *dfl, const decFloat *dfr) {
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) {
+ if (DFISNAN(dfl) && DFISNAN(dfr)) return 1;
+ if (DFISINF(dfl) && DFISINF(dfr)) return 1;
+ return 0; // any other special mixture gives false
+ }
+ if (GETEXP(dfl)==GETEXP(dfr)) return 1; // biased exponents match
+ return 0;
+ } // decFloatSameQuantum
+
+/* ------------------------------------------------------------------ */
+/* decFloatScaleB -- multiply by a power of 10, as per 754 */
+/* */
+/* result gets the result of the operation */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs), am integer (with q=0) */
+/* set is the context */
+/* returns result */
+/* */
+/* This computes result=dfl x 10**dfr where dfr is an integer in the */
+/* range +/-2*(emax+pmax), typically resulting from LogB. */
+/* Underflow and Overflow (with Inexact) may occur. NaNs propagate */
+/* as usual. */
+/* ------------------------------------------------------------------ */
+#define SCALEBMAX 2*(DECEMAX+DECPMAX) // D=800, Q=12356
+decFloat * decFloatScaleB(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ uInt digits; // work
+ Int expr; // dfr as an Int
+
+ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (!DFISINT(dfr)) return decInvalid(result, set);
+ digits=decFloatDigits(dfr); // calculate digits
+
+ #if DOUBLE
+ if (digits>3) return decInvalid(result, set); // definitely out of range
+ expr=DPD2BIN[DFWORD(dfr, 1)&0x3ff]; // must be in bottom declet
+ #elif QUAD
+ if (digits>5) return decInvalid(result, set); // definitely out of range
+ expr=DPD2BIN[DFWORD(dfr, 3)&0x3ff] // in bottom 2 declets ..
+ +DPD2BIN[(DFWORD(dfr, 3)>>10)&0x3ff]*1000; // ..
+ #endif
+ if (expr>SCALEBMAX) return decInvalid(result, set); // oops
+ // [from now on no error possible]
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical
+ if (DFISSIGNED(dfr)) expr=-expr;
+ // dfl is finite and expr is valid
+ *result=*dfl; // copy to target
+ return decFloatSetExponent(result, set, GETEXPUN(result)+expr);
+ } // decFloatScaleB
+
+/* ------------------------------------------------------------------ */
+/* decFloatShift -- shift the coefficient of a decFloat left or right */
+/* */
+/* result gets the result of shifting dfl */
+/* dfl is the source decFloat to shift */
+/* dfr is the count of digits to shift, an integer (with q=0) */
+/* set is the context */
+/* returns result */
+/* */
+/* The digits of the coefficient of dfl are shifted to the left (if */
+/* dfr is positive) or to the right (if dfr is negative) without */
+/* adjusting the exponent or the sign of dfl. */
+/* */
+/* dfr must be in the range -DECPMAX through +DECPMAX. */
+/* NaNs are propagated as usual. An infinite dfl is unaffected (but */
+/* dfr must be valid). No status is set unless dfr is invalid or an */
+/* operand is an sNaN. The result is canonical. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatShift(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int shift; // dfr as an Int
+ uByte buf[DECPMAX*2]; // coefficient + padding
+ uInt digits, savestat; // work
+ bcdnum num; // ..
+ uInt uiwork; // for macros
+
+ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (!DFISINT(dfr)) return decInvalid(result, set);
+ digits=decFloatDigits(dfr); // calculate digits
+ if (digits>2) return decInvalid(result, set); // definitely out of range
+ shift=DPD2BIN[DFWORD(dfr, DECWORDS-1)&0x3ff]; // is in bottom declet
+ if (shift>DECPMAX) return decInvalid(result, set); // too big
+ // [from here on no error or status change is possible]
+
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical
+ // handle no-shift and all-shift (clear to zero) cases
+ if (shift==0) return decCanonical(result, dfl);
+ if (shift==DECPMAX) { // zero with sign
+ uByte sign=(uByte)(DFBYTE(dfl, 0)&0x80); // save sign bit
+ decFloatZero(result); // make +0
+ DFBYTE(result, 0)=(uByte)(DFBYTE(result, 0)|sign); // and set sign
+ // [cannot safely use CopySign]
+ return result;
+ }
+ // a real shift is needed: 0 < shift < DECPMAX
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ num.exponent=GETEXPUN(dfl);
+ num.msd=buf;
+ GETCOEFF(dfl, buf);
+ if (DFISSIGNED(dfr)) { // shift right
+ // edge cases are taken care of, so this is easy
+ num.lsd=buf+DECPMAX-shift-1;
+ }
+ else { // shift left -- zero padding needed to right
+ UBFROMUI(buf+DECPMAX, 0); // 8 will handle most cases
+ UBFROMUI(buf+DECPMAX+4, 0); // ..
+ if (shift>8) memset(buf+DECPMAX+8, 0, 8+QUAD*18); // all other cases
+ num.msd+=shift;
+ num.lsd=num.msd+DECPMAX-1;
+ }
+ savestat=set->status; // record
+ decFinalize(result, &num, set);
+ set->status=savestat; // restore
+ return result;
+ } // decFloatShift
+
+/* ------------------------------------------------------------------ */
+/* decFloatSubtract -- subtract a decFloat from another */
+/* */
+/* result gets the result of subtracting dfr from dfl: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatSubtract(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ decFloat temp;
+ // NaNs must propagate without sign change
+ if (DFISNAN(dfr)) return decFloatAdd(result, dfl, dfr, set);
+ temp=*dfr; // make a copy
+ DFBYTE(&temp, 0)^=0x80; // flip sign
+ return decFloatAdd(result, dfl, &temp, set); // and add to the lhs
+ } // decFloatSubtract
+
+/* ------------------------------------------------------------------ */
+/* decFloatToInt -- round to 32-bit binary integer (4 flavours) */
+/* */
+/* df is the decFloat to round */
+/* set is the context */
+/* round is the rounding mode to use */
+/* returns a uInt or an Int, rounded according to the name */
+/* */
+/* Invalid will always be signaled if df is a NaN, is Infinite, or is */
+/* outside the range of the target; Inexact will not be signaled for */
+/* simple rounding unless 'Exact' appears in the name. */
+/* ------------------------------------------------------------------ */
+uInt decFloatToUInt32(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return decToInt32(df, set, round, 0, 1);}
+
+uInt decFloatToUInt32Exact(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return decToInt32(df, set, round, 1, 1);}
+
+Int decFloatToInt32(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return (Int)decToInt32(df, set, round, 0, 0);}
+
+Int decFloatToInt32Exact(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return (Int)decToInt32(df, set, round, 1, 0);}
+
+/* ------------------------------------------------------------------ */
+/* decFloatToIntegral -- round to integral value (two flavours) */
+/* */
+/* result gets the result */
+/* df is the decFloat to round */
+/* set is the context */
+/* round is the rounding mode to use */
+/* returns result */
+/* */
+/* No exceptions, even Inexact, are raised except for sNaN input, or */
+/* if 'Exact' appears in the name. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatToIntegralValue(decFloat *result, const decFloat *df,
+ decContext *set, enum rounding round) {
+ return decToIntegral(result, df, set, round, 0);}
+
+decFloat * decFloatToIntegralExact(decFloat *result, const decFloat *df,
+ decContext *set) {
+ return decToIntegral(result, df, set, set->round, 1);}
+
+/* ------------------------------------------------------------------ */
+/* decFloatXor -- logical digitwise XOR of two decFloats */
+/* */
+/* result gets the result of XORing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operands must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatXor(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ if (!DFISUINT01(dfl) || !DFISUINT01(dfr)
+ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set);
+ // the operands are positive finite integers (q=0) with just 0s and 1s
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) ^ DFWORD(dfr, 0))&0x04009124);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) ^ DFWORD(dfr, 1))&0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) ^ DFWORD(dfr, 0))&0x04000912);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) ^ DFWORD(dfr, 1))&0x44912449;
+ DFWORD(result, 2)=(DFWORD(dfl, 2) ^ DFWORD(dfr, 2))&0x12449124;
+ DFWORD(result, 3)=(DFWORD(dfl, 3) ^ DFWORD(dfr, 3))&0x49124491;
+ #endif
+ return result;
+ } // decFloatXor
+
+/* ------------------------------------------------------------------ */
+/* decInvalid -- set Invalid_operation result */
+/* */
+/* result gets a canonical NaN */
+/* set is the context */
+/* returns result */
+/* */
+/* status has Invalid_operation added */
+/* ------------------------------------------------------------------ */
+static decFloat *decInvalid(decFloat *result, decContext *set) {
+ decFloatZero(result);
+ DFWORD(result, 0)=DECFLOAT_qNaN;
+ set->status|=DEC_Invalid_operation;
+ return result;
+ } // decInvalid
+
+/* ------------------------------------------------------------------ */
+/* decInfinity -- set canonical Infinity with sign from a decFloat */
+/* */
+/* result gets a canonical Infinity */
+/* df is source decFloat (only the sign is used) */
+/* returns result */
+/* */
+/* df may be the same as result */
+/* ------------------------------------------------------------------ */
+static decFloat *decInfinity(decFloat *result, const decFloat *df) {
+ uInt sign=DFWORD(df, 0); // save source signword
+ decFloatZero(result); // clear everything
+ DFWORD(result, 0)=DECFLOAT_Inf | (sign & DECFLOAT_Sign);
+ return result;
+ } // decInfinity
+
+/* ------------------------------------------------------------------ */
+/* decNaNs -- handle NaN argument(s) */
+/* */
+/* result gets the result of handling dfl and dfr, one or both of */
+/* which is a NaN */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) -- may be NULL for a single- */
+/* operand operation */
+/* set is the context */
+/* returns result */
+/* */
+/* Called when one or both operands is a NaN, and propagates the */
+/* appropriate result to res. When an sNaN is found, it is changed */
+/* to a qNaN and Invalid operation is set. */
+/* ------------------------------------------------------------------ */
+static decFloat *decNaNs(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ // handle sNaNs first
+ if (dfr!=NULL && DFISSNAN(dfr) && !DFISSNAN(dfl)) dfl=dfr; // use RHS
+ if (DFISSNAN(dfl)) {
+ decCanonical(result, dfl); // propagate canonical sNaN
+ DFWORD(result, 0)&=~(DECFLOAT_qNaN ^ DECFLOAT_sNaN); // quiet
+ set->status|=DEC_Invalid_operation;
+ return result;
+ }
+ // one or both is a quiet NaN
+ if (!DFISNAN(dfl)) dfl=dfr; // RHS must be NaN, use it
+ return decCanonical(result, dfl); // propagate canonical qNaN
+ } // decNaNs
+
+/* ------------------------------------------------------------------ */
+/* decNumCompare -- numeric comparison of two decFloats */
+/* */
+/* dfl is the left-hand decFloat, which is not a NaN */
+/* dfr is the right-hand decFloat, which is not a NaN */
+/* tot is 1 for total order compare, 0 for simple numeric */
+/* returns -1, 0, or +1 for dfl<dfr, dfl=dfr, dfl>dfr */
+/* */
+/* No error is possible; status and mode are unchanged. */
+/* ------------------------------------------------------------------ */
+static Int decNumCompare(const decFloat *dfl, const decFloat *dfr, Flag tot) {
+ Int sigl, sigr; // LHS and RHS non-0 signums
+ Int shift; // shift needed to align operands
+ uByte *ub, *uc; // work
+ uInt uiwork; // for macros
+ // buffers +2 if Quad (36 digits), need double plus 4 for safe padding
+ uByte bufl[DECPMAX*2+QUAD*2+4]; // for LHS coefficient + padding
+ uByte bufr[DECPMAX*2+QUAD*2+4]; // for RHS coefficient + padding
+
+ sigl=1;
+ if (DFISSIGNED(dfl)) {
+ if (!DFISSIGNED(dfr)) { // -LHS +RHS
+ if (DFISZERO(dfl) && DFISZERO(dfr) && !tot) return 0;
+ return -1; // RHS wins
+ }
+ sigl=-1;
+ }
+ if (DFISSIGNED(dfr)) {
+ if (!DFISSIGNED(dfl)) { // +LHS -RHS
+ if (DFISZERO(dfl) && DFISZERO(dfr) && !tot) return 0;
+ return +1; // LHS wins
+ }
+ }
+
+ // signs are the same; operand(s) could be zero
+ sigr=-sigl; // sign to return if abs(RHS) wins
+
+ if (DFISINF(dfl)) {
+ if (DFISINF(dfr)) return 0; // both infinite & same sign
+ return sigl; // inf > n
+ }
+ if (DFISINF(dfr)) return sigr; // n < inf [dfl is finite]
+
+ // here, both are same sign and finite; calculate their offset
+ shift=GETEXP(dfl)-GETEXP(dfr); // [0 means aligned]
+ // [bias can be ignored -- the absolute exponent is not relevant]
+
+ if (DFISZERO(dfl)) {
+ if (!DFISZERO(dfr)) return sigr; // LHS=0, RHS!=0
+ // both are zero, return 0 if both same exponent or numeric compare
+ if (shift==0 || !tot) return 0;
+ if (shift>0) return sigl;
+ return sigr; // [shift<0]
+ }
+ else { // LHS!=0
+ if (DFISZERO(dfr)) return sigl; // LHS!=0, RHS=0
+ }
+ // both are known to be non-zero at this point
+
+ // if the exponents are so different that the coefficients do not
+ // overlap (by even one digit) then a full comparison is not needed
+ if (abs(shift)>=DECPMAX) { // no overlap
+ // coefficients are known to be non-zero
+ if (shift>0) return sigl;
+ return sigr; // [shift<0]
+ }
+
+ // decode the coefficients
+ // (shift both right two if Quad to make a multiple of four)
+ #if QUAD
+ UBFROMUI(bufl, 0);
+ UBFROMUI(bufr, 0);
+ #endif
+ GETCOEFF(dfl, bufl+QUAD*2); // decode from decFloat
+ GETCOEFF(dfr, bufr+QUAD*2); // ..
+ if (shift==0) { // aligned; common and easy
+ // all multiples of four, here
+ for (ub=bufl, uc=bufr; ub<bufl+DECPMAX+QUAD*2; ub+=4, uc+=4) {
+ uInt ui=UBTOUI(ub);
+ if (ui==UBTOUI(uc)) continue; // so far so same
+ // about to find a winner; go by bytes in case little-endian
+ for (;; ub++, uc++) {
+ if (*ub>*uc) return sigl; // difference found
+ if (*ub<*uc) return sigr; // ..
+ }
+ }
+ } // aligned
+ else if (shift>0) { // lhs to left
+ ub=bufl; // RHS pointer
+ // pad bufl so right-aligned; most shifts will fit in 8
+ UBFROMUI(bufl+DECPMAX+QUAD*2, 0); // add eight zeros
+ UBFROMUI(bufl+DECPMAX+QUAD*2+4, 0); // ..
+ if (shift>8) {
+ // more than eight; fill the rest, and also worth doing the
+ // lead-in by fours
+ uByte *up; // work
+ uByte *upend=bufl+DECPMAX+QUAD*2+shift;
+ for (up=bufl+DECPMAX+QUAD*2+8; up<upend; up+=4) UBFROMUI(up, 0);
+ // [pads up to 36 in all for Quad]
+ for (;; ub+=4) {
+ if (UBTOUI(ub)!=0) return sigl;
+ if (ub+4>bufl+shift-4) break;
+ }
+ }
+ // check remaining leading digits
+ for (; ub<bufl+shift; ub++) if (*ub!=0) return sigl;
+ // now start the overlapped part; bufl has been padded, so the
+ // comparison can go for the full length of bufr, which is a
+ // multiple of 4 bytes
+ for (uc=bufr; ; uc+=4, ub+=4) {
+ uInt ui=UBTOUI(ub);
+ if (ui!=UBTOUI(uc)) { // mismatch found
+ for (;; uc++, ub++) { // check from left [little-endian?]
+ if (*ub>*uc) return sigl; // difference found
+ if (*ub<*uc) return sigr; // ..
+ }
+ } // mismatch
+ if (uc==bufr+QUAD*2+DECPMAX-4) break; // all checked
+ }
+ } // shift>0
+
+ else { // shift<0) .. RHS is to left of LHS; mirror shift>0
+ uc=bufr; // RHS pointer
+ // pad bufr so right-aligned; most shifts will fit in 8
+ UBFROMUI(bufr+DECPMAX+QUAD*2, 0); // add eight zeros
+ UBFROMUI(bufr+DECPMAX+QUAD*2+4, 0); // ..
+ if (shift<-8) {
+ // more than eight; fill the rest, and also worth doing the
+ // lead-in by fours
+ uByte *up; // work
+ uByte *upend=bufr+DECPMAX+QUAD*2-shift;
+ for (up=bufr+DECPMAX+QUAD*2+8; up<upend; up+=4) UBFROMUI(up, 0);
+ // [pads up to 36 in all for Quad]
+ for (;; uc+=4) {
+ if (UBTOUI(uc)!=0) return sigr;
+ if (uc+4>bufr-shift-4) break;
+ }
+ }
+ // check remaining leading digits
+ for (; uc<bufr-shift; uc++) if (*uc!=0) return sigr;
+ // now start the overlapped part; bufr has been padded, so the
+ // comparison can go for the full length of bufl, which is a
+ // multiple of 4 bytes
+ for (ub=bufl; ; ub+=4, uc+=4) {
+ uInt ui=UBTOUI(ub);
+ if (ui!=UBTOUI(uc)) { // mismatch found
+ for (;; ub++, uc++) { // check from left [little-endian?]
+ if (*ub>*uc) return sigl; // difference found
+ if (*ub<*uc) return sigr; // ..
+ }
+ } // mismatch
+ if (ub==bufl+QUAD*2+DECPMAX-4) break; // all checked
+ }
+ } // shift<0
+
+ // Here when compare equal
+ if (!tot) return 0; // numerically equal
+ // total ordering .. exponent matters
+ if (shift>0) return sigl; // total order by exponent
+ if (shift<0) return sigr; // ..
+ return 0;
+ } // decNumCompare
+
+/* ------------------------------------------------------------------ */
+/* decToInt32 -- local routine to effect ToInteger conversions */
+/* */
+/* df is the decFloat to convert */
+/* set is the context */
+/* rmode is the rounding mode to use */
+/* exact is 1 if Inexact should be signalled */
+/* unsign is 1 if the result a uInt, 0 if an Int (cast to uInt) */
+/* returns 32-bit result as a uInt */
+/* */
+/* Invalid is set is df is a NaN, is infinite, or is out-of-range; in */
+/* these cases 0 is returned. */
+/* ------------------------------------------------------------------ */
+static uInt decToInt32(const decFloat *df, decContext *set,
+ enum rounding rmode, Flag exact, Flag unsign) {
+ Int exp; // exponent
+ uInt sourhi, sourpen, sourlo; // top word from source decFloat ..
+ uInt hi, lo; // .. penultimate, least, etc.
+ decFloat zero, result; // work
+ Int i; // ..
+
+ /* Start decoding the argument */
+ sourhi=DFWORD(df, 0); // top word
+ exp=DECCOMBEXP[sourhi>>26]; // get exponent high bits (in place)
+ if (EXPISSPECIAL(exp)) { // is special?
+ set->status|=DEC_Invalid_operation; // signal
+ return 0;
+ }
+
+ /* Here when the argument is finite */
+ if (GETEXPUN(df)==0) result=*df; // already a true integer
+ else { // need to round to integer
+ enum rounding saveround; // saver
+ uInt savestatus; // ..
+ saveround=set->round; // save rounding mode ..
+ savestatus=set->status; // .. and status
+ set->round=rmode; // set mode
+ decFloatZero(&zero); // make 0E+0
+ set->status=0; // clear
+ decFloatQuantize(&result, df, &zero, set); // [this may fail]
+ set->round=saveround; // restore rounding mode ..
+ if (exact) set->status|=savestatus; // include Inexact
+ else set->status=savestatus; // .. or just original status
+ }
+
+ // only the last four declets of the coefficient can contain
+ // non-zero; check for others (and also NaN or Infinity from the
+ // Quantize) first (see DFISZERO for explanation):
+ // decFloatShow(&result, "sofar");
+ #if DOUBLE
+ if ((DFWORD(&result, 0)&0x1c03ff00)!=0
+ || (DFWORD(&result, 0)&0x60000000)==0x60000000) {
+ #elif QUAD
+ if ((DFWORD(&result, 2)&0xffffff00)!=0
+ || DFWORD(&result, 1)!=0
+ || (DFWORD(&result, 0)&0x1c003fff)!=0
+ || (DFWORD(&result, 0)&0x60000000)==0x60000000) {
+ #endif
+ set->status|=DEC_Invalid_operation; // Invalid or out of range
+ return 0;
+ }
+ // get last twelve digits of the coefficent into hi & ho, base
+ // 10**9 (see GETCOEFFBILL):
+ sourlo=DFWORD(&result, DECWORDS-1);
+ lo=DPD2BIN0[sourlo&0x3ff]
+ +DPD2BINK[(sourlo>>10)&0x3ff]
+ +DPD2BINM[(sourlo>>20)&0x3ff];
+ sourpen=DFWORD(&result, DECWORDS-2);
+ hi=DPD2BIN0[((sourpen<<2) | (sourlo>>30))&0x3ff];
+
+ // according to request, check range carefully
+ if (unsign) {
+ if (hi>4 || (hi==4 && lo>294967295) || (hi+lo!=0 && DFISSIGNED(&result))) {
+ set->status|=DEC_Invalid_operation; // out of range
+ return 0;
+ }
+ return hi*BILLION+lo;
+ }
+ // signed
+ if (hi>2 || (hi==2 && lo>147483647)) {
+ // handle the usual edge case
+ if (lo==147483648 && hi==2 && DFISSIGNED(&result)) return 0x80000000;
+ set->status|=DEC_Invalid_operation; // truly out of range
+ return 0;
+ }
+ i=hi*BILLION+lo;
+ if (DFISSIGNED(&result)) i=-i;
+ return (uInt)i;
+ } // decToInt32
+
+/* ------------------------------------------------------------------ */
+/* decToIntegral -- local routine to effect ToIntegral value */
+/* */
+/* result gets the result */
+/* df is the decFloat to round */
+/* set is the context */
+/* rmode is the rounding mode to use */
+/* exact is 1 if Inexact should be signalled */
+/* returns result */
+/* ------------------------------------------------------------------ */
+static decFloat * decToIntegral(decFloat *result, const decFloat *df,
+ decContext *set, enum rounding rmode,
+ Flag exact) {
+ Int exp; // exponent
+ uInt sourhi; // top word from source decFloat
+ enum rounding saveround; // saver
+ uInt savestatus; // ..
+ decFloat zero; // work
+
+ /* Start decoding the argument */
+ sourhi=DFWORD(df, 0); // top word
+ exp=DECCOMBEXP[sourhi>>26]; // get exponent high bits (in place)
+
+ if (EXPISSPECIAL(exp)) { // is special?
+ // NaNs are handled as usual
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ // must be infinite; return canonical infinity with sign of df
+ return decInfinity(result, df);
+ }
+
+ /* Here when the argument is finite */
+ // complete extraction of the exponent
+ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias
+
+ if (exp>=0) return decCanonical(result, df); // already integral
+
+ saveround=set->round; // save rounding mode ..
+ savestatus=set->status; // .. and status
+ set->round=rmode; // set mode
+ decFloatZero(&zero); // make 0E+0
+ decFloatQuantize(result, df, &zero, set); // 'integrate'; cannot fail
+ set->round=saveround; // restore rounding mode ..
+ if (!exact) set->status=savestatus; // .. and status, unless exact
+ return result;
+ } // decToIntegral
diff -Naur a/src/decNumber/decCommon.c b/src/decNumber/decCommon.c
--- a/src/decNumber/decCommon.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decCommon.c 2021-09-29 10:19:45.799827632 -0700
@@ -0,0 +1,1835 @@
+/* ------------------------------------------------------------------ */
+/* decCommon.c -- common code for all three fixed-size types */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises code that is shared between all the formats */
+/* (decSingle, decDouble, and decQuad); it includes set and extract */
+/* of format components, widening, narrowing, and string conversions. */
+/* */
+/* Unlike decNumber, parameterization takes place at compile time */
+/* rather than at runtime. The parameters are set in the decDouble.c */
+/* (etc.) files, which then include this one to produce the compiled */
+/* code. The functions here, therefore, are code shared between */
+/* multiple formats. */
+/* ------------------------------------------------------------------ */
+// Names here refer to decFloat rather than to decDouble, etc., and
+// the functions are in strict alphabetical order.
+// Constants, tables, and debug function(s) are included only for QUAD
+// (which will always be compiled if DOUBLE or SINGLE are used).
+//
+// Whenever a decContext is used, only the status may be set (using
+// OR) or the rounding mode read; all other fields are ignored and
+// untouched.
+
+// names for simpler testing and default context
+#if DECPMAX==7
+ #define SINGLE 1
+ #define DOUBLE 0
+ #define QUAD 0
+ #define DEFCONTEXT DEC_INIT_DECIMAL32
+#elif DECPMAX==16
+ #define SINGLE 0
+ #define DOUBLE 1
+ #define QUAD 0
+ #define DEFCONTEXT DEC_INIT_DECIMAL64
+#elif DECPMAX==34
+ #define SINGLE 0
+ #define DOUBLE 0
+ #define QUAD 1
+ #define DEFCONTEXT DEC_INIT_DECIMAL128
+#else
+ #error Unexpected DECPMAX value
+#endif
+
+/* Assertions */
+
+#if DECPMAX!=7 && DECPMAX!=16 && DECPMAX!=34
+ #error Unexpected Pmax (DECPMAX) value for this module
+#endif
+
+// Assert facts about digit characters, etc.
+#if ('9'&0x0f)!=9
+ #error This module assumes characters are of the form 0b....nnnn
+ // where .... are don't care 4 bits and nnnn is 0000 through 1001
+#endif
+#if ('9'&0xf0)==('.'&0xf0)
+ #error This module assumes '.' has a different mask than a digit
+#endif
+
+// Assert ToString lay-out conditions
+#if DECSTRING<DECPMAX+9
+ #error ToString needs at least 8 characters for lead-in and dot
+#endif
+#if DECPMAX+DECEMAXD+5 > DECSTRING
+ #error Exponent form can be too long for ToString to lay out safely
+#endif
+#if DECEMAXD > 4
+ #error Exponent form is too long for ToString to lay out
+ // Note: code for up to 9 digits exists in archives [decOct]
+#endif
+
+/* Private functions used here and possibly in decBasic.c, etc. */
+static decFloat * decFinalize(decFloat *, bcdnum *, decContext *);
+static Flag decBiStr(const char *, const char *, const char *);
+
+/* Macros and private tables; those which are not format-dependent */
+/* are only included if decQuad is being built. */
+
+/* ------------------------------------------------------------------ */
+/* Combination field lookup tables (uInts to save measurable work) */
+/* */
+/* DECCOMBEXP - 2 most-significant-bits of exponent (00, 01, or */
+/* 10), shifted left for format, or DECFLOAT_Inf/NaN */
+/* DECCOMBWEXP - The same, for the next-wider format (unless QUAD) */
+/* DECCOMBMSD - 4-bit most-significant-digit */
+/* [0 if the index is a special (Infinity or NaN)] */
+/* DECCOMBFROM - 5-bit combination field from EXP top bits and MSD */
+/* (placed in uInt so no shift is needed) */
+/* */
+/* DECCOMBEXP, DECCOMBWEXP, and DECCOMBMSD are indexed by the sign */
+/* and 5-bit combination field (0-63, the second half of the table */
+/* identical to the first half) */
+/* DECCOMBFROM is indexed by expTopTwoBits*16 + msd */
+/* */
+/* DECCOMBMSD and DECCOMBFROM are not format-dependent and so are */
+/* only included once, when QUAD is being built */
+/* ------------------------------------------------------------------ */
+static const uInt DECCOMBEXP[64]={
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 1<<DECECONL, 1<<DECECONL, 1<<DECECONL, 1<<DECECONL,
+ 1<<DECECONL, 1<<DECECONL, 1<<DECECONL, 1<<DECECONL,
+ 2<<DECECONL, 2<<DECECONL, 2<<DECECONL, 2<<DECECONL,
+ 2<<DECECONL, 2<<DECECONL, 2<<DECECONL, 2<<DECECONL,
+ 0, 0, 1<<DECECONL, 1<<DECECONL,
+ 2<<DECECONL, 2<<DECECONL, DECFLOAT_Inf, DECFLOAT_NaN,
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 1<<DECECONL, 1<<DECECONL, 1<<DECECONL, 1<<DECECONL,
+ 1<<DECECONL, 1<<DECECONL, 1<<DECECONL, 1<<DECECONL,
+ 2<<DECECONL, 2<<DECECONL, 2<<DECECONL, 2<<DECECONL,
+ 2<<DECECONL, 2<<DECECONL, 2<<DECECONL, 2<<DECECONL,
+ 0, 0, 1<<DECECONL, 1<<DECECONL,
+ 2<<DECECONL, 2<<DECECONL, DECFLOAT_Inf, DECFLOAT_NaN};
+#if !QUAD
+static const uInt DECCOMBWEXP[64]={
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL,
+ 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL,
+ 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL,
+ 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL,
+ 0, 0, 1<<DECWECONL, 1<<DECWECONL,
+ 2<<DECWECONL, 2<<DECWECONL, DECFLOAT_Inf, DECFLOAT_NaN,
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL,
+ 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL, 1<<DECWECONL,
+ 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL,
+ 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL, 2<<DECWECONL,
+ 0, 0, 1<<DECWECONL, 1<<DECWECONL,
+ 2<<DECWECONL, 2<<DECWECONL, DECFLOAT_Inf, DECFLOAT_NaN};
+#endif
+
+#if QUAD
+const uInt DECCOMBMSD[64]={
+ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, 0, 0,
+ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, 0, 0};
+
+const uInt DECCOMBFROM[48]={
+ 0x00000000, 0x04000000, 0x08000000, 0x0C000000, 0x10000000, 0x14000000,
+ 0x18000000, 0x1C000000, 0x60000000, 0x64000000, 0x00000000, 0x00000000,
+ 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x20000000, 0x24000000,
+ 0x28000000, 0x2C000000, 0x30000000, 0x34000000, 0x38000000, 0x3C000000,
+ 0x68000000, 0x6C000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+ 0x00000000, 0x00000000, 0x40000000, 0x44000000, 0x48000000, 0x4C000000,
+ 0x50000000, 0x54000000, 0x58000000, 0x5C000000, 0x70000000, 0x74000000,
+ 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000};
+
+/* ------------------------------------------------------------------ */
+/* Request and include the tables to use for conversions */
+/* ------------------------------------------------------------------ */
+#define DEC_BCD2DPD 1 // 0-0x999 -> DPD
+#define DEC_BIN2DPD 1 // 0-999 -> DPD
+#define DEC_BIN2BCD8 1 // 0-999 -> ddd, len
+#define DEC_DPD2BCD8 1 // DPD -> ddd, len
+#define DEC_DPD2BIN 1 // DPD -> 0-999
+#define DEC_DPD2BINK 1 // DPD -> 0-999000
+#define DEC_DPD2BINM 1 // DPD -> 0-999000000
+#include "decDPD.h" // source of the lookup tables
+
+#endif
+
+/* ----------------------------------------------------------------- */
+/* decBiStr -- compare string with pairwise options */
+/* */
+/* targ is the string to compare */
+/* str1 is one of the strings to compare against (length may be 0) */
+/* str2 is the other; it must be the same length as str1 */
+/* */
+/* returns 1 if strings compare equal, (that is, targ is the same */
+/* length as str1 and str2, and each character of targ is in one */
+/* of str1 or str2 in the corresponding position), or 0 otherwise */
+/* */
+/* This is used for generic caseless compare, including the awkward */
+/* case of the Turkish dotted and dotless Is. Use as (for example): */
+/* if (decBiStr(test, "mike", "MIKE")) ... */
+/* ----------------------------------------------------------------- */
+static Flag decBiStr(const char *targ, const char *str1, const char *str2) {
+ for (;;targ++, str1++, str2++) {
+ if (*targ!=*str1 && *targ!=*str2) return 0;
+ // *targ has a match in one (or both, if terminator)
+ if (*targ=='\0') break;
+ } // forever
+ return 1;
+ } // decBiStr
+
+/* ------------------------------------------------------------------ */
+/* decFinalize -- adjust and store a final result */
+/* */
+/* df is the decFloat format number which gets the final result */
+/* num is the descriptor of the number to be checked and encoded */
+/* [its values, including the coefficient, may be modified] */
+/* set is the context to use */
+/* returns df */
+/* */
+/* The num descriptor may point to a bcd8 string of any length; this */
+/* string may have leading insignificant zeros. If it has more than */
+/* DECPMAX digits then the final digit can be a round-for-reround */
+/* digit (i.e., it may include a sticky bit residue). */
+/* */
+/* The exponent (q) may be one of the codes for a special value and */
+/* can be up to 999999999 for conversion from string. */
+/* */
+/* No error is possible, but Inexact, Underflow, and/or Overflow may */
+/* be set. */
+/* ------------------------------------------------------------------ */
+// Constant whose size varies with format; also the check for surprises
+static uByte allnines[DECPMAX]=
+#if SINGLE
+ {9, 9, 9, 9, 9, 9, 9};
+#elif DOUBLE
+ {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9};
+#elif QUAD
+ {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
+ 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9};
+#endif
+
+static decFloat * decFinalize(decFloat *df, bcdnum *num,
+ decContext *set) {
+ uByte *ub; // work
+ uInt dpd; // ..
+ uInt uiwork; // for macros
+ uByte *umsd=num->msd; // local copy
+ uByte *ulsd=num->lsd; // ..
+ uInt encode; // encoding accumulator
+ Int length; // coefficient length
+
+ #if DECCHECK
+ Int clen=ulsd-umsd+1;
+ #if QUAD
+ #define COEXTRA 2 // extra-long coefficent
+ #else
+ #define COEXTRA 0
+ #endif
+ if (clen<1 || clen>DECPMAX*3+2+COEXTRA)
+ printf("decFinalize: suspect coefficient [length=%ld]\n", (LI)clen);
+ if (num->sign!=0 && num->sign!=DECFLOAT_Sign)
+ printf("decFinalize: bad sign [%08lx]\n", (LI)num->sign);
+ if (!EXPISSPECIAL(num->exponent)
+ && (num->exponent>1999999999 || num->exponent<-1999999999))
+ printf("decFinalize: improbable exponent [%ld]\n", (LI)num->exponent);
+ // decShowNum(num, "final");
+ #endif
+
+ // A special will have an 'exponent' which is very positive and a
+ // coefficient < DECPMAX
+ length=(uInt)(ulsd-umsd+1); // coefficient length
+
+ if (!NUMISSPECIAL(num)) {
+ Int drop; // digits to be dropped
+ // skip leading insignificant zeros to calculate an exact length
+ // [this is quite expensive]
+ if (*umsd==0) {
+ for (; umsd+3<ulsd && UBTOUI(umsd)==0;) umsd+=4;
+ for (; *umsd==0 && umsd<ulsd;) umsd++;
+ length=ulsd-umsd+1; // recalculate
+ }
+ drop=MAXI(length-DECPMAX, DECQTINY-num->exponent);
+ // drop can now be > digits for bottom-clamp (subnormal) cases
+ if (drop>0) { // rounding needed
+ // (decFloatQuantize has very similar code to this, so any
+ // changes may need to be made there, too)
+ uByte *roundat; // -> re-round digit
+ uByte reround; // reround value
+ // printf("Rounding; drop=%ld\n", (LI)drop);
+
+ num->exponent+=drop; // always update exponent
+
+ // Three cases here:
+ // 1. new LSD is in coefficient (almost always)
+ // 2. new LSD is digit to left of coefficient (so MSD is
+ // round-for-reround digit)
+ // 3. new LSD is to left of case 2 (whole coefficient is sticky)
+ // [duplicate check-stickies code to save a test]
+ // [by-digit check for stickies as runs of zeros are rare]
+ if (drop<length) { // NB lengths not addresses
+ roundat=umsd+length-drop;
+ reround=*roundat;
+ for (ub=roundat+1; ub<=ulsd; ub++) {
+ if (*ub!=0) { // non-zero to be discarded
+ reround=DECSTICKYTAB[reround]; // apply sticky bit
+ break; // [remainder don't-care]
+ }
+ } // check stickies
+ ulsd=roundat-1; // new LSD
+ }
+ else { // edge case
+ if (drop==length) {
+ roundat=umsd;
+ reround=*roundat;
+ }
+ else {
+ roundat=umsd-1;
+ reround=0;
+ }
+ for (ub=roundat+1; ub<=ulsd; ub++) {
+ if (*ub!=0) { // non-zero to be discarded
+ reround=DECSTICKYTAB[reround]; // apply sticky bit
+ break; // [remainder don't-care]
+ }
+ } // check stickies
+ *umsd=0; // coefficient is a 0
+ ulsd=umsd; // ..
+ }
+
+ if (reround!=0) { // discarding non-zero
+ uInt bump=0;
+ set->status|=DEC_Inexact;
+ // if adjusted exponent [exp+digits-1] is < EMIN then num is
+ // subnormal -- so raise Underflow
+ if (num->exponent<DECEMIN && (num->exponent+(ulsd-umsd+1)-1)<DECEMIN)
+ set->status|=DEC_Underflow;
+
+ // next decide whether increment of the coefficient is needed
+ if (set->round==DEC_ROUND_HALF_EVEN) { // fastpath slowest case
+ if (reround>5) bump=1; // >0.5 goes up
+ else if (reround==5) // exactly 0.5000 ..
+ bump=*ulsd & 0x01; // .. up iff [new] lsd is odd
+ } // r-h-e
+ else switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ // no change
+ break;} // r-d
+ case DEC_ROUND_HALF_DOWN: {
+ if (reround>5) bump=1;
+ break;} // r-h-d
+ case DEC_ROUND_HALF_UP: {
+ if (reround>=5) bump=1;
+ break;} // r-h-u
+ case DEC_ROUND_UP: {
+ if (reround>0) bump=1;
+ break;} // r-u
+ case DEC_ROUND_CEILING: {
+ // same as _UP for positive numbers, and as _DOWN for negatives
+ if (!num->sign && reround>0) bump=1;
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ // same as _UP for negative numbers, and as _DOWN for positive
+ // [negative reround cannot occur on 0]
+ if (num->sign && reround>0) bump=1;
+ break;} // r-f
+ case DEC_ROUND_05UP: {
+ if (reround>0) { // anything out there is 'sticky'
+ // bump iff lsd=0 or 5; this cannot carry so it could be
+ // effected immediately with no bump -- but the code
+ // is clearer if this is done the same way as the others
+ if (*ulsd==0 || *ulsd==5) bump=1;
+ }
+ break;} // r-r
+ default: { // e.g., DEC_ROUND_MAX
+ set->status|=DEC_Invalid_context;
+ #if DECCHECK
+ printf("Unknown rounding mode: %ld\n", (LI)set->round);
+ #endif
+ break;}
+ } // switch (not r-h-e)
+ // printf("ReRound: %ld bump: %ld\n", (LI)reround, (LI)bump);
+
+ if (bump!=0) { // need increment
+ // increment the coefficient; this might end up with 1000...
+ // (after the all nines case)
+ ub=ulsd;
+ for(; ub-3>=umsd && UBTOUI(ub-3)==0x09090909; ub-=4) {
+ UBFROMUI(ub-3, 0); // to 00000000
+ }
+ // [note ub could now be to left of msd, and it is not safe
+ // to write to the the left of the msd]
+ // now at most 3 digits left to non-9 (usually just the one)
+ for (; ub>=umsd; *ub=0, ub--) {
+ if (*ub==9) continue; // carry
+ *ub+=1;
+ break;
+ }
+ if (ub<umsd) { // had all-nines
+ *umsd=1; // coefficient to 1000...
+ // usually the 1000... coefficient can be used as-is
+ if ((ulsd-umsd+1)==DECPMAX) {
+ num->exponent++;
+ }
+ else {
+ // if coefficient is shorter than Pmax then num is
+ // subnormal, so extend it; this is safe as drop>0
+ // (or, if the coefficient was supplied above, it could
+ // not be 9); this may make the result normal.
+ ulsd++;
+ *ulsd=0;
+ // [exponent unchanged]
+ #if DECCHECK
+ if (num->exponent!=DECQTINY) // sanity check
+ printf("decFinalize: bad all-nines extend [^%ld, %ld]\n",
+ (LI)num->exponent, (LI)(ulsd-umsd+1));
+ #endif
+ } // subnormal extend
+ } // had all-nines
+ } // bump needed
+ } // inexact rounding
+
+ length=ulsd-umsd+1; // recalculate (may be <DECPMAX)
+ } // need round (drop>0)
+
+ // The coefficient will now fit and has final length unless overflow
+ // decShowNum(num, "rounded");
+
+ // if exponent is >=emax may have to clamp, overflow, or fold-down
+ if (num->exponent>DECEMAX-(DECPMAX-1)) { // is edge case
+ // printf("overflow checks...\n");
+ if (*ulsd==0 && ulsd==umsd) { // have zero
+ num->exponent=DECEMAX-(DECPMAX-1); // clamp to max
+ }
+ else if ((num->exponent+length-1)>DECEMAX) { // > Nmax
+ // Overflow -- these could go straight to encoding, here, but
+ // instead num is adjusted to keep the code cleaner
+ Flag needmax=0; // 1 for finite result
+ set->status|=(DEC_Overflow | DEC_Inexact);
+ switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ needmax=1; // never Infinity
+ break;} // r-d
+ case DEC_ROUND_05UP: {
+ needmax=1; // never Infinity
+ break;} // r-05
+ case DEC_ROUND_CEILING: {
+ if (num->sign) needmax=1; // Infinity iff non-negative
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ if (!num->sign) needmax=1; // Infinity iff negative
+ break;} // r-f
+ default: break; // Infinity in all other cases
+ }
+ if (!needmax) { // easy .. set Infinity
+ num->exponent=DECFLOAT_Inf;
+ *umsd=0; // be clean: coefficient to 0
+ ulsd=umsd; // ..
+ }
+ else { // return Nmax
+ umsd=allnines; // use constant array
+ ulsd=allnines+DECPMAX-1;
+ num->exponent=DECEMAX-(DECPMAX-1);
+ }
+ }
+ else { // no overflow but non-zero and may have to fold-down
+ Int shift=num->exponent-(DECEMAX-(DECPMAX-1));
+ if (shift>0) { // fold-down needed
+ // fold down needed; must copy to buffer in order to pad
+ // with zeros safely; fortunately this is not the worst case
+ // path because cannot have had a round
+ uByte buffer[ROUNDUP(DECPMAX+3, 4)]; // [+3 allows uInt padding]
+ uByte *s=umsd; // source
+ uByte *t=buffer; // safe target
+ uByte *tlsd=buffer+(ulsd-umsd)+shift; // target LSD
+ // printf("folddown shift=%ld\n", (LI)shift);
+ for (; s<=ulsd; s+=4, t+=4) UBFROMUI(t, UBTOUI(s));
+ for (t=tlsd-shift+1; t<=tlsd; t+=4) UBFROMUI(t, 0); // pad 0s
+ num->exponent-=shift;
+ umsd=buffer;
+ ulsd=tlsd;
+ }
+ } // fold-down?
+ length=ulsd-umsd+1; // recalculate length
+ } // high-end edge case
+ } // finite number
+
+ /*------------------------------------------------------------------*/
+ /* At this point the result will properly fit the decFloat */
+ /* encoding, and it can be encoded with no possibility of error */
+ /*------------------------------------------------------------------*/
+ // Following code does not alter coefficient (could be allnines array)
+
+ // fast path possible when DECPMAX digits
+ if (length==DECPMAX) {
+ return decFloatFromBCD(df, num->exponent, umsd, num->sign);
+ } // full-length
+
+ // slower path when not a full-length number; must care about length
+ // [coefficient length here will be < DECPMAX]
+ if (!NUMISSPECIAL(num)) { // is still finite
+ // encode the combination field and exponent continuation
+ uInt uexp=(uInt)(num->exponent+DECBIAS); // biased exponent
+ uInt code=(uexp>>DECECONL)<<4; // top two bits of exp
+ // [msd==0]
+ // look up the combination field and make high word
+ encode=DECCOMBFROM[code]; // indexed by (0-2)*16+msd
+ encode|=(uexp<<(32-6-DECECONL)) & 0x03ffffff; // exponent continuation
+ }
+ else encode=num->exponent; // special [already in word]
+ encode|=num->sign; // add sign
+
+ // private macro to extract a declet, n (where 0<=n<DECLETS and 0
+ // refers to the declet from the least significant three digits)
+ // and put the corresponding DPD code into dpd. Access to umsd and
+ // ulsd (pointers to the most and least significant digit of the
+ // variable-length coefficient) is assumed, along with use of a
+ // working pointer, uInt *ub.
+ // As not full-length then chances are there are many leading zeros
+ // [and there may be a partial triad]
+ #define getDPDt(dpd, n) ub=ulsd-(3*(n))-2; \
+ if (ub<umsd-2) dpd=0; \
+ else if (ub>=umsd) dpd=BCD2DPD[(*ub*256)+(*(ub+1)*16)+*(ub+2)]; \
+ else {dpd=*(ub+2); if (ub+1==umsd) dpd+=*(ub+1)*16; dpd=BCD2DPD[dpd];}
+
+ // place the declets in the encoding words and copy to result (df),
+ // according to endianness; in all cases complete the sign word
+ // first
+ #if DECPMAX==7
+ getDPDt(dpd, 1);
+ encode|=dpd<<10;
+ getDPDt(dpd, 0);
+ encode|=dpd;
+ DFWORD(df, 0)=encode; // just the one word
+
+ #elif DECPMAX==16
+ getDPDt(dpd, 4); encode|=dpd<<8;
+ getDPDt(dpd, 3); encode|=dpd>>2;
+ DFWORD(df, 0)=encode;
+ encode=dpd<<30;
+ getDPDt(dpd, 2); encode|=dpd<<20;
+ getDPDt(dpd, 1); encode|=dpd<<10;
+ getDPDt(dpd, 0); encode|=dpd;
+ DFWORD(df, 1)=encode;
+
+ #elif DECPMAX==34
+ getDPDt(dpd,10); encode|=dpd<<4;
+ getDPDt(dpd, 9); encode|=dpd>>6;
+ DFWORD(df, 0)=encode;
+
+ encode=dpd<<26;
+ getDPDt(dpd, 8); encode|=dpd<<16;
+ getDPDt(dpd, 7); encode|=dpd<<6;
+ getDPDt(dpd, 6); encode|=dpd>>4;
+ DFWORD(df, 1)=encode;
+
+ encode=dpd<<28;
+ getDPDt(dpd, 5); encode|=dpd<<18;
+ getDPDt(dpd, 4); encode|=dpd<<8;
+ getDPDt(dpd, 3); encode|=dpd>>2;
+ DFWORD(df, 2)=encode;
+
+ encode=dpd<<30;
+ getDPDt(dpd, 2); encode|=dpd<<20;
+ getDPDt(dpd, 1); encode|=dpd<<10;
+ getDPDt(dpd, 0); encode|=dpd;
+ DFWORD(df, 3)=encode;
+ #endif
+
+ // printf("Status: %08lx\n", (LI)set->status);
+ // decFloatShow(df, "final2");
+ return df;
+ } // decFinalize
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromBCD -- set decFloat from exponent, BCD8, and sign */
+/* */
+/* df is the target decFloat */
+/* exp is the in-range unbiased exponent, q, or a special value in */
+/* the form returned by decFloatGetExponent */
+/* bcdar holds DECPMAX digits to set the coefficient from, one */
+/* digit in each byte (BCD8 encoding); the first (MSD) is ignored */
+/* if df is a NaN; all are ignored if df is infinite. */
+/* All bytes must be in 0-9; results are undefined otherwise. */
+/* sig is DECFLOAT_Sign to set the sign bit, 0 otherwise */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromBCD(decFloat *df, Int exp, const uByte *bcdar,
+ Int sig) {
+ uInt encode, dpd; // work
+ const uByte *ub; // ..
+
+ if (EXPISSPECIAL(exp)) encode=exp|sig;// specials already encoded
+ else { // is finite
+ // encode the combination field and exponent continuation
+ uInt uexp=(uInt)(exp+DECBIAS); // biased exponent
+ uInt code=(uexp>>DECECONL)<<4; // top two bits of exp
+ code+=bcdar[0]; // add msd
+ // look up the combination field and make high word
+ encode=DECCOMBFROM[code]|sig; // indexed by (0-2)*16+msd
+ encode|=(uexp<<(32-6-DECECONL)) & 0x03ffffff; // exponent continuation
+ }
+
+ // private macro to extract a declet, n (where 0<=n<DECLETS and 0
+ // refers to the declet from the least significant three digits)
+ // and put the corresponding DPD code into dpd.
+ // Use of a working pointer, uInt *ub, is assumed.
+
+ #define getDPDb(dpd, n) ub=bcdar+DECPMAX-1-(3*(n))-2; \
+ dpd=BCD2DPD[(*ub*256)+(*(ub+1)*16)+*(ub+2)];
+
+ // place the declets in the encoding words and copy to result (df),
+ // according to endianness; in all cases complete the sign word
+ // first
+ #if DECPMAX==7
+ getDPDb(dpd, 1);
+ encode|=dpd<<10;
+ getDPDb(dpd, 0);
+ encode|=dpd;
+ DFWORD(df, 0)=encode; // just the one word
+
+ #elif DECPMAX==16
+ getDPDb(dpd, 4); encode|=dpd<<8;
+ getDPDb(dpd, 3); encode|=dpd>>2;
+ DFWORD(df, 0)=encode;
+ encode=dpd<<30;
+ getDPDb(dpd, 2); encode|=dpd<<20;
+ getDPDb(dpd, 1); encode|=dpd<<10;
+ getDPDb(dpd, 0); encode|=dpd;
+ DFWORD(df, 1)=encode;
+
+ #elif DECPMAX==34
+ getDPDb(dpd,10); encode|=dpd<<4;
+ getDPDb(dpd, 9); encode|=dpd>>6;
+ DFWORD(df, 0)=encode;
+
+ encode=dpd<<26;
+ getDPDb(dpd, 8); encode|=dpd<<16;
+ getDPDb(dpd, 7); encode|=dpd<<6;
+ getDPDb(dpd, 6); encode|=dpd>>4;
+ DFWORD(df, 1)=encode;
+
+ encode=dpd<<28;
+ getDPDb(dpd, 5); encode|=dpd<<18;
+ getDPDb(dpd, 4); encode|=dpd<<8;
+ getDPDb(dpd, 3); encode|=dpd>>2;
+ DFWORD(df, 2)=encode;
+
+ encode=dpd<<30;
+ getDPDb(dpd, 2); encode|=dpd<<20;
+ getDPDb(dpd, 1); encode|=dpd<<10;
+ getDPDb(dpd, 0); encode|=dpd;
+ DFWORD(df, 3)=encode;
+ #endif
+ // decFloatShow(df, "fromB");
+ return df;
+ } // decFloatFromBCD
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromPacked -- set decFloat from exponent and packed BCD */
+/* */
+/* df is the target decFloat */
+/* exp is the in-range unbiased exponent, q, or a special value in */
+/* the form returned by decFloatGetExponent */
+/* packed holds DECPMAX packed decimal digits plus a sign nibble */
+/* (all 6 codes are OK); the first (MSD) is ignored if df is a NaN */
+/* and all except sign are ignored if df is infinite. For DOUBLE */
+/* and QUAD the first (pad) nibble is also ignored in all cases. */
+/* All coefficient nibbles must be in 0-9 and sign in A-F; results */
+/* are undefined otherwise. */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromPacked(decFloat *df, Int exp, const uByte *packed) {
+ uByte bcdar[DECPMAX+2]; // work [+1 for pad, +1 for sign]
+ const uByte *ip; // ..
+ uByte *op; // ..
+ Int sig=0; // sign
+
+ // expand coefficient and sign to BCDAR
+ #if SINGLE
+ op=bcdar+1; // no pad digit
+ #else
+ op=bcdar; // first (pad) digit ignored
+ #endif
+ for (ip=packed; ip<packed+((DECPMAX+2)/2); ip++) {
+ *op++=*ip>>4;
+ *op++=(uByte)(*ip&0x0f); // [final nibble is sign]
+ }
+ op--; // -> sign byte
+ if (*op==DECPMINUS || *op==DECPMINUSALT) sig=DECFLOAT_Sign;
+
+ if (EXPISSPECIAL(exp)) { // Infinity or NaN
+ if (!EXPISINF(exp)) bcdar[1]=0; // a NaN: ignore MSD
+ else memset(bcdar+1, 0, DECPMAX); // Infinite: coefficient to 0
+ }
+ return decFloatFromBCD(df, exp, bcdar+1, sig);
+ } // decFloatFromPacked
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromPackedChecked -- set from exponent and packed; checked */
+/* */
+/* df is the target decFloat */
+/* exp is the in-range unbiased exponent, q, or a special value in */
+/* the form returned by decFloatGetExponent */
+/* packed holds DECPMAX packed decimal digits plus a sign nibble */
+/* (all 6 codes are OK); the first (MSD) must be 0 if df is a NaN */
+/* and all digits must be 0 if df is infinite. For DOUBLE and */
+/* QUAD the first (pad) nibble must be 0. */
+/* All coefficient nibbles must be in 0-9 and sign in A-F. */
+/* returns df, which will be canonical or NULL if any of the */
+/* requirements are not met (if this case df is unchanged); that */
+/* is, the input data must be as returned by decFloatToPacked, */
+/* except that all six sign codes are acccepted. */
+/* */
+/* No status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromPackedChecked(decFloat *df, Int exp,
+ const uByte *packed) {
+ uByte bcdar[DECPMAX+2]; // work [+1 for pad, +1 for sign]
+ const uByte *ip; // ..
+ uByte *op; // ..
+ Int sig=0; // sign
+
+ // expand coefficient and sign to BCDAR
+ #if SINGLE
+ op=bcdar+1; // no pad digit
+ #else
+ op=bcdar; // first (pad) digit here
+ #endif
+ for (ip=packed; ip<packed+((DECPMAX+2)/2); ip++) {
+ *op=*ip>>4;
+ if (*op>9) return NULL;
+ op++;
+ *op=(uByte)(*ip&0x0f); // [final nibble is sign]
+ if (*op>9 && ip<packed+((DECPMAX+2)/2)-1) return NULL;
+ op++;
+ }
+ op--; // -> sign byte
+ if (*op<=9) return NULL; // bad sign
+ if (*op==DECPMINUS || *op==DECPMINUSALT) sig=DECFLOAT_Sign;
+
+ #if !SINGLE
+ if (bcdar[0]!=0) return NULL; // bad pad nibble
+ #endif
+
+ if (EXPISNAN(exp)) { // a NaN
+ if (bcdar[1]!=0) return NULL; // bad msd
+ } // NaN
+ else if (EXPISINF(exp)) { // is infinite
+ Int i;
+ for (i=0; i<DECPMAX; i++) {
+ if (bcdar[i+1]!=0) return NULL; // should be all zeros
+ }
+ } // infinity
+ else { // finite
+ // check the exponent is in range
+ if (exp>DECEMAX-DECPMAX+1) return NULL;
+ if (exp<DECEMIN-DECPMAX+1) return NULL;
+ }
+ return decFloatFromBCD(df, exp, bcdar+1, sig);
+ } // decFloatFromPacked
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromString -- conversion from numeric string */
+/* */
+/* result is the decFloat format number which gets the result of */
+/* the conversion */
+/* *string is the character string which should contain a valid */
+/* number (which may be a special value), \0-terminated */
+/* If there are too many significant digits in the */
+/* coefficient it will be rounded. */
+/* set is the context */
+/* returns result */
+/* */
+/* The length of the coefficient and the size of the exponent are */
+/* checked by this routine, so the correct error (Underflow or */
+/* Overflow) can be reported or rounding applied, as necessary. */
+/* */
+/* There is no limit to the coefficient length for finite inputs; */
+/* NaN payloads must be integers with no more than DECPMAX-1 digits. */
+/* Exponents may have up to nine significant digits. */
+/* */
+/* If bad syntax is detected, the result will be a quiet NaN. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromString(decFloat *result, const char *string,
+ decContext *set) {
+ Int digits; // count of digits in coefficient
+ const char *dotchar=NULL; // where dot was found [NULL if none]
+ const char *cfirst=string; // -> first character of decimal part
+ const char *c; // work
+ uByte *ub; // ..
+ uInt uiwork; // for macros
+ bcdnum num; // collects data for finishing
+ uInt error=DEC_Conversion_syntax; // assume the worst
+ uByte buffer[ROUNDUP(DECSTRING+11, 8)]; // room for most coefficents,
+ // some common rounding, +3, & pad
+ #if DECTRACE
+ // printf("FromString %s ...\n", string);
+ #endif
+
+ for(;;) { // once-only 'loop'
+ num.sign=0; // assume non-negative
+ num.msd=buffer; // MSD is here always
+
+ // detect and validate the coefficient, including any leading,
+ // trailing, or embedded '.'
+ // [could test four-at-a-time here (saving 10% for decQuads),
+ // but that risks storage violation because the position of the
+ // terminator is unknown]
+ for (c=string;; c++) { // -> input character
+ if (((unsigned)(*c-'0'))<=9) continue; // '0' through '9' is good
+ if (*c=='\0') break; // most common non-digit
+ if (*c=='.') {
+ if (dotchar!=NULL) break; // not first '.'
+ dotchar=c; // record offset into decimal part
+ continue;}
+ if (c==string) { // first in string...
+ if (*c=='-') { // valid - sign
+ cfirst++;
+ num.sign=DECFLOAT_Sign;
+ continue;}
+ if (*c=='+') { // valid + sign
+ cfirst++;
+ continue;}
+ }
+ // *c is not a digit, terminator, or a valid +, -, or '.'
+ break;
+ } // c loop
+
+ digits=(uInt)(c-cfirst); // digits (+1 if a dot)
+
+ if (digits>0) { // had digits and/or dot
+ const char *clast=c-1; // note last coefficient char position
+ Int exp=0; // exponent accumulator
+ if (*c!='\0') { // something follows the coefficient
+ uInt edig; // unsigned work
+ // had some digits and more to come; expect E[+|-]nnn now
+ const char *firstexp; // exponent first non-zero
+ if (*c!='E' && *c!='e') break;
+ c++; // to (optional) sign
+ if (*c=='-' || *c=='+') c++; // step over sign (c=clast+2)
+ if (*c=='\0') break; // no digits! (e.g., '1.2E')
+ for (; *c=='0';) c++; // skip leading zeros [even last]
+ firstexp=c; // remember start [maybe '\0']
+ // gather exponent digits
+ edig=(uInt)*c-(uInt)'0';
+ if (edig<=9) { // [check not bad or terminator]
+ exp+=edig; // avoid initial X10
+ c++;
+ for (;; c++) {
+ edig=(uInt)*c-(uInt)'0';
+ if (edig>9) break;
+ exp=exp*10+edig;
+ }
+ }
+ // if not now on the '\0', *c must not be a digit
+ if (*c!='\0') break;
+
+ // (this next test must be after the syntax checks)
+ // if definitely more than the possible digits for format then
+ // the exponent may have wrapped, so simply set it to a certain
+ // over/underflow value
+ if (c>firstexp+DECEMAXD) exp=DECEMAX*2;
+ if (*(clast+2)=='-') exp=-exp; // was negative
+ } // exponent part
+
+ if (dotchar!=NULL) { // had a '.'
+ digits--; // remove from digits count
+ if (digits==0) break; // was dot alone: bad syntax
+ exp-=(Int)(clast-dotchar); // adjust exponent
+ // [the '.' can now be ignored]
+ }
+ num.exponent=exp; // exponent is good; store it
+
+ // Here when whole string has been inspected and syntax is good
+ // cfirst->first digit or dot, clast->last digit or dot
+ error=0; // no error possible now
+
+ // if the number of digits in the coefficient will fit in buffer
+ // then it can simply be converted to bcd8 and copied -- decFinalize
+ // will take care of leading zeros and rounding; the buffer is big
+ // enough for all canonical coefficients, including 0.00000nn...
+ ub=buffer;
+ if (digits<=(Int)(sizeof(buffer)-3)) { // [-3 allows by-4s copy]
+ c=cfirst;
+ if (dotchar!=NULL) { // a dot to worry about
+ if (*(c+1)=='.') { // common canonical case
+ *ub++=(uByte)(*c-'0'); // copy leading digit
+ c+=2; // prepare to handle rest
+ }
+ else for (; c<=clast;) { // '.' could be anywhere
+ // as usual, go by fours when safe; NB it has been asserted
+ // that a '.' does not have the same mask as a digit
+ if (c<=clast-3 // safe for four
+ && (UBTOUI(c)&0xf0f0f0f0)==CHARMASK) { // test four
+ UBFROMUI(ub, UBTOUI(c)&0x0f0f0f0f); // to BCD8
+ ub+=4;
+ c+=4;
+ continue;
+ }
+ if (*c=='.') { // found the dot
+ c++; // step over it ..
+ break; // .. and handle the rest
+ }
+ *ub++=(uByte)(*c++-'0');
+ }
+ } // had dot
+ // Now no dot; do this by fours (where safe)
+ for (; c<=clast-3; c+=4, ub+=4) UBFROMUI(ub, UBTOUI(c)&0x0f0f0f0f);
+ for (; c<=clast; c++, ub++) *ub=(uByte)(*c-'0');
+ num.lsd=buffer+digits-1; // record new LSD
+ } // fits
+
+ else { // too long for buffer
+ // [This is a rare and unusual case; arbitrary-length input]
+ // strip leading zeros [but leave final 0 if all 0's]
+ if (*cfirst=='.') cfirst++; // step past dot at start
+ if (*cfirst=='0') { // [cfirst always -> digit]
+ for (; cfirst<clast; cfirst++) {
+ if (*cfirst!='0') { // non-zero found
+ if (*cfirst=='.') continue; // [ignore]
+ break; // done
+ }
+ digits--; // 0 stripped
+ } // cfirst
+ } // at least one leading 0
+
+ // the coefficient is now as short as possible, but may still
+ // be too long; copy up to Pmax+1 digits to the buffer, then
+ // just record any non-zeros (set round-for-reround digit)
+ for (c=cfirst; c<=clast && ub<=buffer+DECPMAX; c++) {
+ // (see commentary just above)
+ if (c<=clast-3 // safe for four
+ && (UBTOUI(c)&0xf0f0f0f0)==CHARMASK) { // four digits
+ UBFROMUI(ub, UBTOUI(c)&0x0f0f0f0f); // to BCD8
+ ub+=4;
+ c+=3; // [will become 4]
+ continue;
+ }
+ if (*c=='.') continue; // [ignore]
+ *ub++=(uByte)(*c-'0');
+ }
+ ub--; // -> LSD
+ for (; c<=clast; c++) { // inspect remaining chars
+ if (*c!='0') { // sticky bit needed
+ if (*c=='.') continue; // [ignore]
+ *ub=DECSTICKYTAB[*ub]; // update round-for-reround
+ break; // no need to look at more
+ }
+ }
+ num.lsd=ub; // record LSD
+ // adjust exponent for dropped digits
+ num.exponent+=digits-(Int)(ub-buffer+1);
+ } // too long for buffer
+ } // digits and/or dot
+
+ else { // no digits or dot were found
+ // only Infinities and NaNs are allowed, here
+ if (*c=='\0') break; // nothing there is bad
+ buffer[0]=0; // default a coefficient of 0
+ num.lsd=buffer; // ..
+ if (decBiStr(c, "infinity", "INFINITY")
+ || decBiStr(c, "inf", "INF")) num.exponent=DECFLOAT_Inf;
+ else { // should be a NaN
+ num.exponent=DECFLOAT_qNaN; // assume quiet NaN
+ if (*c=='s' || *c=='S') { // probably an sNaN
+ num.exponent=DECFLOAT_sNaN; // effect the 's'
+ c++; // and step over it
+ }
+ if (*c!='N' && *c!='n') break; // check caseless "NaN"
+ c++;
+ if (*c!='a' && *c!='A') break; // ..
+ c++;
+ if (*c!='N' && *c!='n') break; // ..
+ c++;
+ // now either nothing, or nnnn payload (no dots), expected
+ // -> start of integer, and skip leading 0s [including plain 0]
+ for (cfirst=c; *cfirst=='0';) cfirst++;
+ if (*cfirst!='\0') { // not empty or all-0, payload
+ // payload found; check all valid digits and copy to buffer as bcd8
+ ub=buffer;
+ for (c=cfirst;; c++, ub++) {
+ if ((unsigned)(*c-'0')>9) break; // quit if not 0-9
+ if (c-cfirst==DECPMAX-1) break; // too many digits
+ *ub=(uByte)(*c-'0'); // good bcd8
+ }
+ if (*c!='\0') break; // not all digits, or too many
+ num.lsd=ub-1; // record new LSD
+ }
+ } // NaN or sNaN
+ error=0; // syntax is OK
+ } // digits=0 (special expected)
+ break; // drop out
+ } // [for(;;) once-loop]
+
+ // decShowNum(&num, "fromStr");
+
+ if (error!=0) {
+ set->status|=error;
+ num.exponent=DECFLOAT_qNaN; // set up quiet NaN
+ num.sign=0; // .. with 0 sign
+ buffer[0]=0; // .. and coefficient
+ num.lsd=buffer; // ..
+ // decShowNum(&num, "oops");
+ }
+
+ // decShowNum(&num, "dffs");
+ decFinalize(result, &num, set); // round, check, and lay out
+ // decFloatShow(result, "fromString");
+ return result;
+ } // decFloatFromString
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromWider -- conversion from next-wider format */
+/* */
+/* result is the decFloat format number which gets the result of */
+/* the conversion */
+/* wider is the decFloatWider format number which will be narrowed */
+/* set is the context */
+/* returns result */
+/* */
+/* Narrowing can cause rounding, overflow, etc., but not Invalid */
+/* operation (sNaNs are copied and do not signal). */
+/* ------------------------------------------------------------------ */
+// narrow-to is not possible for decQuad format numbers; simply omit
+#if !QUAD
+decFloat * decFloatFromWider(decFloat *result, const decFloatWider *wider,
+ decContext *set) {
+ bcdnum num; // collects data for finishing
+ uByte bcdar[DECWPMAX]; // room for wider coefficient
+ uInt widerhi=DFWWORD(wider, 0); // top word
+ Int exp;
+
+ GETWCOEFF(wider, bcdar);
+
+ num.msd=bcdar; // MSD is here always
+ num.lsd=bcdar+DECWPMAX-1; // LSD is here always
+ num.sign=widerhi&0x80000000; // extract sign [DECFLOAT_Sign=Neg]
+
+ // decode the wider combination field to exponent
+ exp=DECCOMBWEXP[widerhi>>26]; // decode from wider combination field
+ // if it is a special there's nothing to do unless sNaN; if it's
+ // finite then add the (wider) exponent continuation and unbias
+ if (EXPISSPECIAL(exp)) exp=widerhi&0x7e000000; // include sNaN selector
+ else exp+=GETWECON(wider)-DECWBIAS;
+ num.exponent=exp;
+
+ // decShowNum(&num, "dffw");
+ return decFinalize(result, &num, set);// round, check, and lay out
+ } // decFloatFromWider
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFloatGetCoefficient -- get coefficient as BCD8 */
+/* */
+/* df is the decFloat from which to extract the coefficient */
+/* bcdar is where DECPMAX bytes will be written, one BCD digit in */
+/* each byte (BCD8 encoding); if df is a NaN the first byte will */
+/* be zero, and if it is infinite they will all be zero */
+/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */
+/* 0 otherwise) */
+/* */
+/* No error is possible, and no status will be set. If df is a */
+/* special value the array is set to zeros (for Infinity) or to the */
+/* payload of a qNaN or sNaN. */
+/* ------------------------------------------------------------------ */
+Int decFloatGetCoefficient(const decFloat *df, uByte *bcdar) {
+ if (DFISINF(df)) memset(bcdar, 0, DECPMAX);
+ else {
+ GETCOEFF(df, bcdar); // use macro
+ if (DFISNAN(df)) bcdar[0]=0; // MSD needs correcting
+ }
+ return GETSIGN(df);
+ } // decFloatGetCoefficient
+
+/* ------------------------------------------------------------------ */
+/* decFloatGetExponent -- get unbiased exponent */
+/* */
+/* df is the decFloat from which to extract the exponent */
+/* returns the exponent, q. */
+/* */
+/* No error is possible, and no status will be set. If df is a */
+/* special value the first seven bits of the decFloat are returned, */
+/* left adjusted and with the first (sign) bit set to 0 (followed by */
+/* 25 0 bits). e.g., -sNaN would return 0x7e000000 (DECFLOAT_sNaN). */
+/* ------------------------------------------------------------------ */
+Int decFloatGetExponent(const decFloat *df) {
+ if (DFISSPECIAL(df)) return DFWORD(df, 0)&0x7e000000;
+ return GETEXPUN(df);
+ } // decFloatGetExponent
+
+/* ------------------------------------------------------------------ */
+/* decFloatSetCoefficient -- set coefficient from BCD8 */
+/* */
+/* df is the target decFloat (and source of exponent/special value) */
+/* bcdar holds DECPMAX digits to set the coefficient from, one */
+/* digit in each byte (BCD8 encoding); the first (MSD) is ignored */
+/* if df is a NaN; all are ignored if df is infinite. */
+/* sig is DECFLOAT_Sign to set the sign bit, 0 otherwise */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatSetCoefficient(decFloat *df, const uByte *bcdar,
+ Int sig) {
+ uInt exp; // for exponent
+ uByte bcdzero[DECPMAX]; // for infinities
+
+ // Exponent/special code is extracted from df
+ if (DFISSPECIAL(df)) {
+ exp=DFWORD(df, 0)&0x7e000000;
+ if (DFISINF(df)) {
+ memset(bcdzero, 0, DECPMAX);
+ return decFloatFromBCD(df, exp, bcdzero, sig);
+ }
+ }
+ else exp=GETEXPUN(df);
+ return decFloatFromBCD(df, exp, bcdar, sig);
+ } // decFloatSetCoefficient
+
+/* ------------------------------------------------------------------ */
+/* decFloatSetExponent -- set exponent or special value */
+/* */
+/* df is the target decFloat (and source of coefficient/payload) */
+/* set is the context for reporting status */
+/* exp is the unbiased exponent, q, or a special value in the form */
+/* returned by decFloatGetExponent */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, but Overflow or Underflow might occur. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatSetExponent(decFloat *df, decContext *set, Int exp) {
+ uByte bcdcopy[DECPMAX]; // for coefficient
+ bcdnum num; // work
+ num.exponent=exp;
+ num.sign=decFloatGetCoefficient(df, bcdcopy); // extract coefficient
+ if (DFISSPECIAL(df)) { // MSD or more needs correcting
+ if (DFISINF(df)) memset(bcdcopy, 0, DECPMAX);
+ bcdcopy[0]=0;
+ }
+ num.msd=bcdcopy;
+ num.lsd=bcdcopy+DECPMAX-1;
+ return decFinalize(df, &num, set);
+ } // decFloatSetExponent
+
+/* ------------------------------------------------------------------ */
+/* decFloatRadix -- returns the base (10) */
+/* */
+/* df is any decFloat of this format */
+/* ------------------------------------------------------------------ */
+uInt decFloatRadix(const decFloat *df) {
+ if (df) return 10; // to placate compiler
+ return 10;
+ } // decFloatRadix
+
+/* The following function is not available if DECPRINT=0 */
+#if DECPRINT
+/* ------------------------------------------------------------------ */
+/* decFloatShow -- printf a decFloat in hexadecimal and decimal */
+/* df is the decFloat to show */
+/* tag is a tag string displayed with the number */
+/* */
+/* This is a debug aid; the precise format of the string may change. */
+/* ------------------------------------------------------------------ */
+void decFloatShow(const decFloat *df, const char *tag) {
+ char hexbuf[DECBYTES*2+DECBYTES/4+1]; // NB blank after every fourth
+ char buff[DECSTRING]; // for value in decimal
+ Int i, j=0;
+
+ for (i=0; i<DECBYTES; i++) {
+ #if DECLITEND
+ sprintf(&hexbuf[j], "%02x", df->bytes[DECBYTES-1-i]);
+ #else
+ sprintf(&hexbuf[j], "%02x", df->bytes[i]);
+ #endif
+ j+=2;
+ // the next line adds blank (and terminator) after final pair, too
+ if ((i+1)%4==0) {strcpy(&hexbuf[j], " "); j++;}
+ }
+ decFloatToString(df, buff);
+ printf(">%s> %s [big-endian] %s\n", tag, hexbuf, buff);
+ return;
+ } // decFloatShow
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFloatToBCD -- get sign, exponent, and BCD8 from a decFloat */
+/* */
+/* df is the source decFloat */
+/* exp will be set to the unbiased exponent, q, or to a special */
+/* value in the form returned by decFloatGetExponent */
+/* bcdar is where DECPMAX bytes will be written, one BCD digit in */
+/* each byte (BCD8 encoding); if df is a NaN the first byte will */
+/* be zero, and if it is infinite they will all be zero */
+/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */
+/* 0 otherwise) */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+Int decFloatToBCD(const decFloat *df, Int *exp, uByte *bcdar) {
+ if (DFISINF(df)) {
+ memset(bcdar, 0, DECPMAX);
+ *exp=DFWORD(df, 0)&0x7e000000;
+ }
+ else {
+ GETCOEFF(df, bcdar); // use macro
+ if (DFISNAN(df)) {
+ bcdar[0]=0; // MSD needs correcting
+ *exp=DFWORD(df, 0)&0x7e000000;
+ }
+ else { // finite
+ *exp=GETEXPUN(df);
+ }
+ }
+ return GETSIGN(df);
+ } // decFloatToBCD
+
+/* ------------------------------------------------------------------ */
+/* decFloatToEngString -- conversion to numeric string, engineering */
+/* */
+/* df is the decFloat format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least DECPMAX+9 characters (the worst case is */
+/* "-0.00000nnn...nnn\0", which is as long as the exponent form when */
+/* DECEMAXD<=4); this condition is asserted above */
+/* */
+/* No error is possible, and no status will be set */
+/* ------------------------------------------------------------------ */
+char * decFloatToEngString(const decFloat *df, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ char *s, *t; // .. (source, target)
+ Int pre, e; // work
+ const uByte *u; // ..
+ uInt uiwork; // for macros [one compiler needs
+ // volatile here to avoid bug, but
+ // that doubles execution time]
+
+ // Source words; macro handles endianness
+ uInt sourhi=DFWORD(df, 0); // word with sign
+ #if DECPMAX==16
+ uInt sourlo=DFWORD(df, 1);
+ #elif DECPMAX==34
+ uInt sourmh=DFWORD(df, 1);
+ uInt sourml=DFWORD(df, 2);
+ uInt sourlo=DFWORD(df, 3);
+ #endif
+
+ c=string; // where result will go
+ if (((Int)sourhi)<0) *c++='-'; // handle sign
+ comb=sourhi>>26; // sign+combination field
+ msd=DECCOMBMSD[comb]; // decode the combination field
+ exp=DECCOMBEXP[comb]; // ..
+
+ if (EXPISSPECIAL(exp)) { // special
+ if (exp==DECFLOAT_Inf) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ // quick exit if the payload is zero
+ #if DECPMAX==7
+ if ((sourhi&0x000fffff)==0) return string;
+ #elif DECPMAX==16
+ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string;
+ #elif DECPMAX==34
+ if (sourlo==0 && sourml==0 && sourmh==0
+ && (sourhi&0x00003fff)==0) return string;
+ #endif
+ // otherwise drop through to add integer; set correct exp etc.
+ exp=0; msd=0; // setup for following code
+ }
+ else { // complete exponent; top two bits are in place
+ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias
+ }
+
+ /* convert the digits of the significand to characters */
+ cstart=c; // save start of coefficient
+ if (msd) *c++=(char)('0'+(char)msd); // non-zero most significant digit
+
+ // Decode the declets. After extracting each declet, it is
+ // decoded to a 4-uByte sequence by table lookup; the four uBytes
+ // are the three encoded BCD8 digits followed by a 1-byte length
+ // (significant digits, except that 000 has length 0). This allows
+ // us to left-align the first declet with non-zero content, then
+ // the remaining ones are full 3-char length. Fixed-length copies
+ // are used because variable-length memcpy causes a subroutine call
+ // in at least two compilers. (The copies are length 4 for speed
+ // and are safe because the last item in the array is of length
+ // three and has the length byte following.)
+ #define dpd2char(dpdin) u=&DPD2BCD8[((dpdin)&0x3ff)*4]; \
+ if (c!=cstart) {UBFROMUI(c, UBTOUI(u)|CHARMASK); c+=3;} \
+ else if (*(u+3)) { \
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); c+=*(u+3);}
+
+ #if DECPMAX==7
+ dpd2char(sourhi>>10); // declet 1
+ dpd2char(sourhi); // declet 2
+
+ #elif DECPMAX==16
+ dpd2char(sourhi>>8); // declet 1
+ dpd2char((sourhi<<2) | (sourlo>>30)); // declet 2
+ dpd2char(sourlo>>20); // declet 3
+ dpd2char(sourlo>>10); // declet 4
+ dpd2char(sourlo); // declet 5
+
+ #elif DECPMAX==34
+ dpd2char(sourhi>>4); // declet 1
+ dpd2char((sourhi<<6) | (sourmh>>26)); // declet 2
+ dpd2char(sourmh>>16); // declet 3
+ dpd2char(sourmh>>6); // declet 4
+ dpd2char((sourmh<<4) | (sourml>>28)); // declet 5
+ dpd2char(sourml>>18); // declet 6
+ dpd2char(sourml>>8); // declet 7
+ dpd2char((sourml<<2) | (sourlo>>30)); // declet 8
+ dpd2char(sourlo>>20); // declet 9
+ dpd2char(sourlo>>10); // declet 10
+ dpd2char(sourlo); // declet 11
+ #endif
+
+ if (c==cstart) *c++='0'; // all zeros, empty -- make "0"
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+ /* non-0 exponent */
+
+ e=0; // assume no E
+ pre=(Int)(c-cstart)+exp; // length+exp [c->LSD+1]
+ // [here, pre-exp is the digits count (==1 for zero)]
+
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ if (e!=0) { // engineering: may need to adjust
+ Int adj; // adjustment
+ // The C remainder operator is undefined for negative numbers, so
+ // a positive remainder calculation must be used here
+ if (e<0) {
+ adj=(-e)%3;
+ if (adj!=0) adj=3-adj;
+ }
+ else { // e>0
+ adj=e%3;
+ }
+ e=e-adj;
+ // if dealing with zero still produce an exponent which is a
+ // multiple of three, as expected, but there will only be the
+ // one zero before the E, still. Otherwise note the padding.
+ if (!DFISZERO(df)) pre+=adj;
+ else { // is zero
+ if (adj!=0) { // 0.00Esnn needed
+ e=e+3;
+ pre=-(2-adj);
+ }
+ } // zero
+ } // engineering adjustment
+ } // exponential form
+ // printf("e=%ld pre=%ld exp=%ld\n", (LI)e, (LI)pre, (LI)exp);
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ // or dd00 padding for engineering
+ char *dotat=cstart+pre;
+ if (dotat<c) { // if embedded dot needed...
+ // move by fours; there must be space for junk at the end
+ // because there is still space for exponent
+ s=dotat+ROUNDDOWN4(c-dotat); // source
+ t=s+1; // target
+ // open the gap [cannot use memcpy]
+ for (; s>=dotat; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ *dotat='.';
+ c++; // length increased by one
+ } // need dot?
+ else for (; c<dotat; c++) *c='0'; // pad for engineering
+ } // pre>0
+ else {
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (may have
+ E, but only for 0.00E+3 kind of case -- with plenty of spare
+ space in this case */
+ pre=-pre+2; // gap width, including "0."
+ t=cstart+ROUNDDOWN4(c-cstart)+pre; // preferred first target point
+ // backoff if too far to the right
+ if (t>string+DECSTRING-5) t=string+DECSTRING-5; // adjust to fit
+ // now shift the entire coefficient to the right, being careful not
+ // to access to the left of string [cannot use memcpy]
+ for (s=t-pre; s>=string; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ // for Quads and Singles there may be a character or two left...
+ s+=3; // where next would come from
+ for(; s>=cstart; s--, t--) *(t+3)=*(s);
+ // now have fill 0. through 0.00000; use overlaps to avoid tests
+ if (pre>=4) {
+ memcpy(cstart+pre-4, "0000", 4);
+ memcpy(cstart, "0.00", 4);
+ }
+ else { // 2 or 3
+ *(cstart+pre-1)='0';
+ memcpy(cstart, "0.", 2);
+ }
+ c+=pre; // to end
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 or 4 digits (asserted above)
+ if (e!=0) {
+ memcpy(c, "E+", 2); // starts with E, assume +
+ c++;
+ if (e<0) {
+ *c='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ c++;
+ // Three-character exponents are easy; 4-character a little trickier
+ #if DECEMAXD<=3
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ // copy fixed 4 characters [is safe], starting at non-zero
+ // and with character mask to convert BCD to char
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK);
+ c+=*(u+3); // bump pointer appropriately
+ #elif DECEMAXD==4
+ if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above]
+ c+=*(u+3); // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++=(char)('0'+(char)thou); // the thousands digit
+ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u)|CHARMASK);// copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ #endif
+ }
+ *c='\0'; // terminate
+ //printf("res %s\n", string);
+ return string;
+ } // decFloatToEngString
+
+/* ------------------------------------------------------------------ */
+/* decFloatToPacked -- convert decFloat to Packed decimal + exponent */
+/* */
+/* df is the source decFloat */
+/* exp will be set to the unbiased exponent, q, or to a special */
+/* value in the form returned by decFloatGetExponent */
+/* packed is where DECPMAX nibbles will be written with the sign as */
+/* final nibble (0x0c for +, 0x0d for -); a NaN has a first nibble */
+/* of zero, and an infinity is all zeros. decDouble and decQuad */
+/* have a additional leading zero nibble, leading to result */
+/* lengths of 4, 9, and 18 bytes. */
+/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */
+/* 0 otherwise) */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+Int decFloatToPacked(const decFloat *df, Int *exp, uByte *packed) {
+ uByte bcdar[DECPMAX+2]; // work buffer
+ uByte *ip=bcdar, *op=packed; // work pointers
+ if (DFISINF(df)) {
+ memset(bcdar, 0, DECPMAX+2);
+ *exp=DECFLOAT_Inf;
+ }
+ else {
+ GETCOEFF(df, bcdar+1); // use macro
+ if (DFISNAN(df)) {
+ bcdar[1]=0; // MSD needs clearing
+ *exp=DFWORD(df, 0)&0x7e000000;
+ }
+ else { // finite
+ *exp=GETEXPUN(df);
+ }
+ }
+ // now pack; coefficient currently at bcdar+1
+ #if SINGLE
+ ip++; // ignore first byte
+ #else
+ *ip=0; // need leading zero
+ #endif
+ // set final byte to Packed BCD sign value
+ bcdar[DECPMAX+1]=(DFISSIGNED(df) ? DECPMINUS : DECPPLUS);
+ // pack an even number of bytes...
+ for (; op<packed+((DECPMAX+2)/2); op++, ip+=2) {
+ *op=(uByte)((*ip<<4)+*(ip+1));
+ }
+ return (bcdar[DECPMAX+1]==DECPMINUS ? DECFLOAT_Sign : 0);
+ } // decFloatToPacked
+
+/* ------------------------------------------------------------------ */
+/* decFloatToString -- conversion to numeric string */
+/* */
+/* df is the decFloat format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least DECPMAX+9 characters (the worst case is */
+/* "-0.00000nnn...nnn\0", which is as long as the exponent form when */
+/* DECEMAXD<=4); this condition is asserted above */
+/* */
+/* No error is possible, and no status will be set */
+/* ------------------------------------------------------------------ */
+char * decFloatToString(const decFloat *df, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ char *s, *t; // .. (source, target)
+ Int pre, e; // work
+ const uByte *u; // ..
+ uInt uiwork; // for macros [one compiler needs
+ // volatile here to avoid bug, but
+ // that doubles execution time]
+
+ // Source words; macro handles endianness
+ uInt sourhi=DFWORD(df, 0); // word with sign
+ #if DECPMAX==16
+ uInt sourlo=DFWORD(df, 1);
+ #elif DECPMAX==34
+ uInt sourmh=DFWORD(df, 1);
+ uInt sourml=DFWORD(df, 2);
+ uInt sourlo=DFWORD(df, 3);
+ #endif
+
+ c=string; // where result will go
+ if (((Int)sourhi)<0) *c++='-'; // handle sign
+ comb=sourhi>>26; // sign+combination field
+ msd=DECCOMBMSD[comb]; // decode the combination field
+ exp=DECCOMBEXP[comb]; // ..
+
+ if (!EXPISSPECIAL(exp)) { // finite
+ // complete exponent; top two bits are in place
+ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias
+ }
+ else { // IS special
+ if (exp==DECFLOAT_Inf) { // infinity
+ strcpy(c, "Infinity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ // quick exit if the payload is zero
+ #if DECPMAX==7
+ if ((sourhi&0x000fffff)==0) return string;
+ #elif DECPMAX==16
+ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string;
+ #elif DECPMAX==34
+ if (sourlo==0 && sourml==0 && sourmh==0
+ && (sourhi&0x00003fff)==0) return string;
+ #endif
+ // otherwise drop through to add integer; set correct exp etc.
+ exp=0; msd=0; // setup for following code
+ }
+
+ /* convert the digits of the significand to characters */
+ cstart=c; // save start of coefficient
+ if (msd) *c++=(char)('0'+(char)msd); // non-zero most significant digit
+
+ // Decode the declets. After extracting each declet, it is
+ // decoded to a 4-uByte sequence by table lookup; the four uBytes
+ // are the three encoded BCD8 digits followed by a 1-byte length
+ // (significant digits, except that 000 has length 0). This allows
+ // us to left-align the first declet with non-zero content, then
+ // the remaining ones are full 3-char length. Fixed-length copies
+ // are used because variable-length memcpy causes a subroutine call
+ // in at least two compilers. (The copies are length 4 for speed
+ // and are safe because the last item in the array is of length
+ // three and has the length byte following.)
+ #define dpd2char(dpdin) u=&DPD2BCD8[((dpdin)&0x3ff)*4]; \
+ if (c!=cstart) {UBFROMUI(c, UBTOUI(u)|CHARMASK); c+=3;} \
+ else if (*(u+3)) { \
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); c+=*(u+3);}
+
+ #if DECPMAX==7
+ dpd2char(sourhi>>10); // declet 1
+ dpd2char(sourhi); // declet 2
+
+ #elif DECPMAX==16
+ dpd2char(sourhi>>8); // declet 1
+ dpd2char((sourhi<<2) | (sourlo>>30)); // declet 2
+ dpd2char(sourlo>>20); // declet 3
+ dpd2char(sourlo>>10); // declet 4
+ dpd2char(sourlo); // declet 5
+
+ #elif DECPMAX==34
+ dpd2char(sourhi>>4); // declet 1
+ dpd2char((sourhi<<6) | (sourmh>>26)); // declet 2
+ dpd2char(sourmh>>16); // declet 3
+ dpd2char(sourmh>>6); // declet 4
+ dpd2char((sourmh<<4) | (sourml>>28)); // declet 5
+ dpd2char(sourml>>18); // declet 6
+ dpd2char(sourml>>8); // declet 7
+ dpd2char((sourml<<2) | (sourlo>>30)); // declet 8
+ dpd2char(sourlo>>20); // declet 9
+ dpd2char(sourlo>>10); // declet 10
+ dpd2char(sourlo); // declet 11
+ #endif
+
+ if (c==cstart) *c++='0'; // all zeros, empty -- make "0"
+
+ //[This fast path is valid but adds 3-5 cycles to worst case length]
+ //if (exp==0) { // integer or NaN case -- easy
+ // *c='\0'; // terminate
+ // return string;
+ // }
+
+ e=0; // assume no E
+ pre=(Int)(c-cstart)+exp; // length+exp [c->LSD+1]
+ // [here, pre-exp is the digits count (==1 for zero)]
+
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat<c) { // if embedded dot needed...
+ // [memmove is a disaster, here]
+ // move by fours; there must be space for junk at the end
+ // because exponent is still possible
+ s=dotat+ROUNDDOWN4(c-dotat); // source
+ t=s+1; // target
+ // open the gap [cannot use memcpy]
+ for (; s>=dotat; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ *dotat='.';
+ c++; // length increased by one
+ } // need dot?
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 or 4 digits (asserted above)
+ if (e!=0) {
+ memcpy(c, "E+", 2); // starts with E, assume +
+ c++;
+ if (e<0) {
+ *c='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ c++;
+ // Three-character exponents are easy; 4-character a little trickier
+ #if DECEMAXD<=3
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ // copy fixed 4 characters [is safe], starting at non-zero
+ // and with character mask to convert BCD to char
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK);
+ c+=*(u+3); // bump pointer appropriately
+ #elif DECEMAXD==4
+ if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above]
+ c+=*(u+3); // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++=(char)('0'+(char)thou); // the thousands digit
+ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u)|CHARMASK); // copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ #endif
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ // Surprisingly, this is close to being the worst-case path, so the
+ // shift is done by fours; this is a little tricky because the
+ // rightmost character to be written must not be beyond where the
+ // rightmost terminator could be -- so backoff to not touch
+ // terminator position if need be (this can make exact alignments
+ // for full Doubles, but in some cases needs care not to access too
+ // far to the left)
+
+ pre=-pre+2; // gap width, including "0."
+ t=cstart+ROUNDDOWN4(c-cstart)+pre; // preferred first target point
+ // backoff if too far to the right
+ if (t>string+DECSTRING-5) t=string+DECSTRING-5; // adjust to fit
+ // now shift the entire coefficient to the right, being careful not
+ // to access to the left of string [cannot use memcpy]
+ for (s=t-pre; s>=string; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ // for Quads and Singles there may be a character or two left...
+ s+=3; // where next would come from
+ for(; s>=cstart; s--, t--) *(t+3)=*(s);
+ // now have fill 0. through 0.00000; use overlaps to avoid tests
+ if (pre>=4) {
+ memcpy(cstart+pre-4, "0000", 4);
+ memcpy(cstart, "0.00", 4);
+ }
+ else { // 2 or 3
+ *(cstart+pre-1)='0';
+ memcpy(cstart, "0.", 2);
+ }
+ *(c+pre)='\0'; // terminate
+ return string;
+ } // decFloatToString
+
+/* ------------------------------------------------------------------ */
+/* decFloatToWider -- conversion to next-wider format */
+/* */
+/* source is the decFloat format number which gets the result of */
+/* the conversion */
+/* wider is the decFloatWider format number which will be narrowed */
+/* returns wider */
+/* */
+/* Widening is always exact; no status is set (sNaNs are copied and */
+/* do not signal). The result will be canonical if the source is, */
+/* and may or may not be if the source is not. */
+/* ------------------------------------------------------------------ */
+// widening is not possible for decQuad format numbers; simply omit
+#if !QUAD
+decFloatWider * decFloatToWider(const decFloat *source, decFloatWider *wider) {
+ uInt msd;
+
+ /* Construct and copy the sign word */
+ if (DFISSPECIAL(source)) {
+ // copy sign, combination, and first bit of exponent (sNaN selector)
+ DFWWORD(wider, 0)=DFWORD(source, 0)&0xfe000000;
+ msd=0;
+ }
+ else { // is finite number
+ uInt exp=GETEXPUN(source)+DECWBIAS; // get unbiased exponent and rebias
+ uInt code=(exp>>DECWECONL)<<29; // set two bits of exp [msd=0]
+ code|=(exp<<(32-6-DECWECONL)) & 0x03ffffff; // add exponent continuation
+ code|=DFWORD(source, 0)&0x80000000; // add sign
+ DFWWORD(wider, 0)=code; // .. and place top word in wider
+ msd=GETMSD(source); // get source coefficient MSD [0-9]
+ }
+ /* Copy the coefficient and clear any 'unused' words to left */
+ #if SINGLE
+ DFWWORD(wider, 1)=(DFWORD(source, 0)&0x000fffff)|(msd<<20);
+ #elif DOUBLE
+ DFWWORD(wider, 2)=(DFWORD(source, 0)&0x0003ffff)|(msd<<18);
+ DFWWORD(wider, 3)=DFWORD(source, 1);
+ DFWWORD(wider, 1)=0;
+ #endif
+ return wider;
+ } // decFloatToWider
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFloatVersion -- return package version string */
+/* */
+/* returns a constant string describing this package */
+/* ------------------------------------------------------------------ */
+const char *decFloatVersion(void) {
+ return DECVERSION;
+ } // decFloatVersion
+
+/* ------------------------------------------------------------------ */
+/* decFloatZero -- set to canonical (integer) zero */
+/* */
+/* df is the decFloat format number to integer +0 (q=0, c=+0) */
+/* returns df */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatZero(decFloat *df){
+ DFWORD(df, 0)=ZEROWORD; // set appropriate top word
+ #if DOUBLE || QUAD
+ DFWORD(df, 1)=0;
+ #if QUAD
+ DFWORD(df, 2)=0;
+ DFWORD(df, 3)=0;
+ #endif
+ #endif
+ // decFloatShow(df, "zero");
+ return df;
+ } // decFloatZero
+
+/* ------------------------------------------------------------------ */
+/* Private generic function (not format-specific) for development use */
+/* ------------------------------------------------------------------ */
+// This is included once only, for all to use
+#if QUAD && (DECCHECK || DECTRACE)
+ /* ---------------------------------------------------------------- */
+ /* decShowNum -- display bcd8 number in debug form */
+ /* */
+ /* num is the bcdnum to display */
+ /* tag is a string to label the display */
+ /* ---------------------------------------------------------------- */
+ void decShowNum(const bcdnum *num, const char *tag) {
+ const char *csign="+"; // sign character
+ uByte *ub; // work
+ uInt uiwork; // for macros
+ if (num->sign==DECFLOAT_Sign) csign="-";
+
+ printf(">%s> ", tag);
+ if (num->exponent==DECFLOAT_Inf) printf("%sInfinity", csign);
+ else if (num->exponent==DECFLOAT_qNaN) printf("%sqNaN", csign);
+ else if (num->exponent==DECFLOAT_sNaN) printf("%ssNaN", csign);
+ else { // finite
+ char qbuf[10]; // for right-aligned q
+ char *c; // work
+ const uByte *u; // ..
+ Int e=num->exponent; // .. exponent
+ strcpy(qbuf, "q=");
+ c=&qbuf[2]; // where exponent will go
+ // lay out the exponent
+ if (e<0) {
+ *c++='-'; // add '-'
+ e=-e; // uInt, please
+ }
+ #if DECEMAXD>4
+ #error Exponent form is too long for ShowNum to lay out
+ #endif
+ if (e==0) *c++='0'; // 0-length case
+ else if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above]
+ c+=*(u+3); // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++=(char)('0'+(char)thou); // the thousands digit
+ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u)|CHARMASK); // copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ *c='\0'; // add terminator
+ printf("%7s c=%s", qbuf, csign);
+ }
+
+ if (!EXPISSPECIAL(num->exponent) || num->msd!=num->lsd || *num->lsd!=0) {
+ for (ub=num->msd; ub<=num->lsd; ub++) { // coefficient...
+ printf("%1x", *ub);
+ if ((num->lsd-ub)%3==0 && ub!=num->lsd) printf(" "); // 4-space
+ }
+ }
+ printf("\n");
+ } // decShowNum
+#endif
diff -Naur a/src/decNumber/decContext.c b/src/decNumber/decContext.c
--- a/src/decNumber/decContext.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decContext.c 2021-09-29 10:19:45.799827632 -0700
@@ -0,0 +1,437 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Context module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for handling arithmetic */
+/* context structures. */
+/* ------------------------------------------------------------------ */
+
+#include <string.h> // for strcmp
+#include <stdio.h> // for printf if DECCHECK
+#include "decContext.h" // context and base types
+#include "decNumberLocal.h" // decNumber local types, etc.
+
+/* compile-time endian tester [assumes sizeof(Int)>1] */
+static const Int mfcone=1; // constant 1
+static const Flag *mfctop=(const Flag *)&mfcone; // -> top byte
+#define LITEND *mfctop // named flag; 1=little-endian
+
+/* ------------------------------------------------------------------ */
+/* round-for-reround digits */
+/* ------------------------------------------------------------------ */
+const uByte DECSTICKYTAB[10]={1,1,2,3,4,6,6,7,8,9}; /* used if sticky */
+
+/* ------------------------------------------------------------------ */
+/* Powers of ten (powers[n]==10**n, 0<=n<=9) */
+/* ------------------------------------------------------------------ */
+const uInt DECPOWERS[10]={1, 10, 100, 1000, 10000, 100000, 1000000,
+ 10000000, 100000000, 1000000000};
+
+/* ------------------------------------------------------------------ */
+/* decContextClearStatus -- clear bits in current status */
+/* */
+/* context is the context structure to be queried */
+/* mask indicates the bits to be cleared (the status bit that */
+/* corresponds to each 1 bit in the mask is cleared) */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextClearStatus(decContext *context, uInt mask) {
+ context->status&=~mask;
+ return context;
+ } // decContextClearStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextDefault -- initialize a context structure */
+/* */
+/* context is the structure to be initialized */
+/* kind selects the required set of default values, one of: */
+/* DEC_INIT_BASE -- select ANSI X3-274 defaults */
+/* DEC_INIT_DECIMAL32 -- select IEEE 754 defaults, 32-bit */
+/* DEC_INIT_DECIMAL64 -- select IEEE 754 defaults, 64-bit */
+/* DEC_INIT_DECIMAL128 -- select IEEE 754 defaults, 128-bit */
+/* For any other value a valid context is returned, but with */
+/* Invalid_operation set in the status field. */
+/* returns a context structure with the appropriate initial values. */
+/* ------------------------------------------------------------------ */
+decContext * decContextDefault(decContext *context, Int kind) {
+ // set defaults...
+ context->digits=9; // 9 digits
+ context->emax=DEC_MAX_EMAX; // 9-digit exponents
+ context->emin=DEC_MIN_EMIN; // .. balanced
+ context->round=DEC_ROUND_HALF_UP; // 0.5 rises
+ context->traps=DEC_Errors; // all but informational
+ context->status=0; // cleared
+ context->clamp=0; // no clamping
+ #if DECSUBSET
+ context->extended=0; // cleared
+ #endif
+ switch (kind) {
+ case DEC_INIT_BASE:
+ // [use defaults]
+ break;
+ case DEC_INIT_DECIMAL32:
+ context->digits=7; // digits
+ context->emax=96; // Emax
+ context->emin=-95; // Emin
+ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even
+ context->traps=0; // no traps set
+ context->clamp=1; // clamp exponents
+ #if DECSUBSET
+ context->extended=1; // set
+ #endif
+ break;
+ case DEC_INIT_DECIMAL64:
+ context->digits=16; // digits
+ context->emax=384; // Emax
+ context->emin=-383; // Emin
+ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even
+ context->traps=0; // no traps set
+ context->clamp=1; // clamp exponents
+ #if DECSUBSET
+ context->extended=1; // set
+ #endif
+ break;
+ case DEC_INIT_DECIMAL128:
+ context->digits=34; // digits
+ context->emax=6144; // Emax
+ context->emin=-6143; // Emin
+ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even
+ context->traps=0; // no traps set
+ context->clamp=1; // clamp exponents
+ #if DECSUBSET
+ context->extended=1; // set
+ #endif
+ break;
+
+ default: // invalid Kind
+ // use defaults, and ..
+ decContextSetStatus(context, DEC_Invalid_operation); // trap
+ }
+
+ return context;} // decContextDefault
+
+/* ------------------------------------------------------------------ */
+/* decContextGetRounding -- return current rounding mode */
+/* */
+/* context is the context structure to be queried */
+/* returns the rounding mode */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+enum rounding decContextGetRounding(decContext *context) {
+ return context->round;
+ } // decContextGetRounding
+
+/* ------------------------------------------------------------------ */
+/* decContextGetStatus -- return current status */
+/* */
+/* context is the context structure to be queried */
+/* returns status */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextGetStatus(decContext *context) {
+ return context->status;
+ } // decContextGetStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextRestoreStatus -- restore bits in current status */
+/* */
+/* context is the context structure to be updated */
+/* newstatus is the source for the bits to be restored */
+/* mask indicates the bits to be restored (the status bit that */
+/* corresponds to each 1 bit in the mask is set to the value of */
+/* the correspnding bit in newstatus) */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextRestoreStatus(decContext *context,
+ uInt newstatus, uInt mask) {
+ context->status&=~mask; // clear the selected bits
+ context->status|=(mask&newstatus); // or in the new bits
+ return context;
+ } // decContextRestoreStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextSaveStatus -- save bits in current status */
+/* */
+/* context is the context structure to be queried */
+/* mask indicates the bits to be saved (the status bits that */
+/* correspond to each 1 bit in the mask are saved) */
+/* returns the AND of the mask and the current status */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextSaveStatus(decContext *context, uInt mask) {
+ return context->status&mask;
+ } // decContextSaveStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextSetRounding -- set current rounding mode */
+/* */
+/* context is the context structure to be updated */
+/* newround is the value which will replace the current mode */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextSetRounding(decContext *context,
+ enum rounding newround) {
+ context->round=newround;
+ return context;
+ } // decContextSetRounding
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatus -- set status and raise trap if appropriate */
+/* */
+/* context is the context structure to be updated */
+/* status is the DEC_ exception code */
+/* returns the context structure */
+/* */
+/* Control may never return from this routine, if there is a signal */
+/* handler and it takes a long jump. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatus(decContext *context, uInt status) {
+ context->status|=status;
+ if (status & context->traps) raise(SIGFPE);
+ return context;} // decContextSetStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatusFromString -- set status from a string + trap */
+/* */
+/* context is the context structure to be updated */
+/* string is a string exactly equal to one that might be returned */
+/* by decContextStatusToString */
+/* */
+/* The status bit corresponding to the string is set, and a trap */
+/* is raised if appropriate. */
+/* */
+/* returns the context structure, unless the string is equal to */
+/* DEC_Condition_MU or is not recognized. In these cases NULL is */
+/* returned. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatusFromString(decContext *context,
+ const char *string) {
+ if (strcmp(string, DEC_Condition_CS)==0)
+ return decContextSetStatus(context, DEC_Conversion_syntax);
+ if (strcmp(string, DEC_Condition_DZ)==0)
+ return decContextSetStatus(context, DEC_Division_by_zero);
+ if (strcmp(string, DEC_Condition_DI)==0)
+ return decContextSetStatus(context, DEC_Division_impossible);
+ if (strcmp(string, DEC_Condition_DU)==0)
+ return decContextSetStatus(context, DEC_Division_undefined);
+ if (strcmp(string, DEC_Condition_IE)==0)
+ return decContextSetStatus(context, DEC_Inexact);
+ if (strcmp(string, DEC_Condition_IS)==0)
+ return decContextSetStatus(context, DEC_Insufficient_storage);
+ if (strcmp(string, DEC_Condition_IC)==0)
+ return decContextSetStatus(context, DEC_Invalid_context);
+ if (strcmp(string, DEC_Condition_IO)==0)
+ return decContextSetStatus(context, DEC_Invalid_operation);
+ #if DECSUBSET
+ if (strcmp(string, DEC_Condition_LD)==0)
+ return decContextSetStatus(context, DEC_Lost_digits);
+ #endif
+ if (strcmp(string, DEC_Condition_OV)==0)
+ return decContextSetStatus(context, DEC_Overflow);
+ if (strcmp(string, DEC_Condition_PA)==0)
+ return decContextSetStatus(context, DEC_Clamped);
+ if (strcmp(string, DEC_Condition_RO)==0)
+ return decContextSetStatus(context, DEC_Rounded);
+ if (strcmp(string, DEC_Condition_SU)==0)
+ return decContextSetStatus(context, DEC_Subnormal);
+ if (strcmp(string, DEC_Condition_UN)==0)
+ return decContextSetStatus(context, DEC_Underflow);
+ if (strcmp(string, DEC_Condition_ZE)==0)
+ return context;
+ return NULL; // Multiple status, or unknown
+ } // decContextSetStatusFromString
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatusFromStringQuiet -- set status from a string */
+/* */
+/* context is the context structure to be updated */
+/* string is a string exactly equal to one that might be returned */
+/* by decContextStatusToString */
+/* */
+/* The status bit corresponding to the string is set; no trap is */
+/* raised. */
+/* */
+/* returns the context structure, unless the string is equal to */
+/* DEC_Condition_MU or is not recognized. In these cases NULL is */
+/* returned. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatusFromStringQuiet(decContext *context,
+ const char *string) {
+ if (strcmp(string, DEC_Condition_CS)==0)
+ return decContextSetStatusQuiet(context, DEC_Conversion_syntax);
+ if (strcmp(string, DEC_Condition_DZ)==0)
+ return decContextSetStatusQuiet(context, DEC_Division_by_zero);
+ if (strcmp(string, DEC_Condition_DI)==0)
+ return decContextSetStatusQuiet(context, DEC_Division_impossible);
+ if (strcmp(string, DEC_Condition_DU)==0)
+ return decContextSetStatusQuiet(context, DEC_Division_undefined);
+ if (strcmp(string, DEC_Condition_IE)==0)
+ return decContextSetStatusQuiet(context, DEC_Inexact);
+ if (strcmp(string, DEC_Condition_IS)==0)
+ return decContextSetStatusQuiet(context, DEC_Insufficient_storage);
+ if (strcmp(string, DEC_Condition_IC)==0)
+ return decContextSetStatusQuiet(context, DEC_Invalid_context);
+ if (strcmp(string, DEC_Condition_IO)==0)
+ return decContextSetStatusQuiet(context, DEC_Invalid_operation);
+ #if DECSUBSET
+ if (strcmp(string, DEC_Condition_LD)==0)
+ return decContextSetStatusQuiet(context, DEC_Lost_digits);
+ #endif
+ if (strcmp(string, DEC_Condition_OV)==0)
+ return decContextSetStatusQuiet(context, DEC_Overflow);
+ if (strcmp(string, DEC_Condition_PA)==0)
+ return decContextSetStatusQuiet(context, DEC_Clamped);
+ if (strcmp(string, DEC_Condition_RO)==0)
+ return decContextSetStatusQuiet(context, DEC_Rounded);
+ if (strcmp(string, DEC_Condition_SU)==0)
+ return decContextSetStatusQuiet(context, DEC_Subnormal);
+ if (strcmp(string, DEC_Condition_UN)==0)
+ return decContextSetStatusQuiet(context, DEC_Underflow);
+ if (strcmp(string, DEC_Condition_ZE)==0)
+ return context;
+ return NULL; // Multiple status, or unknown
+ } // decContextSetStatusFromStringQuiet
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatusQuiet -- set status without trap */
+/* */
+/* context is the context structure to be updated */
+/* status is the DEC_ exception code */
+/* returns the context structure */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatusQuiet(decContext *context, uInt status) {
+ context->status|=status;
+ return context;} // decContextSetStatusQuiet
+
+/* ------------------------------------------------------------------ */
+/* decContextStatusToString -- convert status flags to a string */
+/* */
+/* context is a context with valid status field */
+/* */
+/* returns a constant string describing the condition. If multiple */
+/* (or no) flags are set, a generic constant message is returned. */
+/* ------------------------------------------------------------------ */
+const char *decContextStatusToString(const decContext *context) {
+ Int status=context->status;
+
+ // test the five IEEE first, as some of the others are ambiguous when
+ // DECEXTFLAG=0
+ if (status==DEC_Invalid_operation ) return DEC_Condition_IO;
+ if (status==DEC_Division_by_zero ) return DEC_Condition_DZ;
+ if (status==DEC_Overflow ) return DEC_Condition_OV;
+ if (status==DEC_Underflow ) return DEC_Condition_UN;
+ if (status==DEC_Inexact ) return DEC_Condition_IE;
+
+ if (status==DEC_Division_impossible ) return DEC_Condition_DI;
+ if (status==DEC_Division_undefined ) return DEC_Condition_DU;
+ if (status==DEC_Rounded ) return DEC_Condition_RO;
+ if (status==DEC_Clamped ) return DEC_Condition_PA;
+ if (status==DEC_Subnormal ) return DEC_Condition_SU;
+ if (status==DEC_Conversion_syntax ) return DEC_Condition_CS;
+ if (status==DEC_Insufficient_storage ) return DEC_Condition_IS;
+ if (status==DEC_Invalid_context ) return DEC_Condition_IC;
+ #if DECSUBSET
+ if (status==DEC_Lost_digits ) return DEC_Condition_LD;
+ #endif
+ if (status==0 ) return DEC_Condition_ZE;
+ return DEC_Condition_MU; // Multiple errors
+ } // decContextStatusToString
+
+/* ------------------------------------------------------------------ */
+/* decContextTestEndian -- test whether DECLITEND is set correctly */
+/* */
+/* quiet is 1 to suppress message; 0 otherwise */
+/* returns 0 if DECLITEND is correct */
+/* 1 if DECLITEND is incorrect and should be 1 */
+/* -1 if DECLITEND is incorrect and should be 0 */
+/* */
+/* A message is displayed if the return value is not 0 and quiet==0. */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+Int decContextTestEndian(Flag quiet) {
+ Int res=0; // optimist
+ uInt dle=(uInt)DECLITEND; // unsign
+ if (dle>1) dle=1; // ensure 0 or 1
+
+ if (LITEND!=DECLITEND) {
+ if (!quiet) { // always refer to this
+ #if DECPRINT
+ const char *adj;
+ if (LITEND) adj="little";
+ else adj="big";
+ printf("Warning: DECLITEND is set to %d, but this computer appears to be %s-endian\n",
+ DECLITEND, adj);
+ #endif
+ }
+ res=(Int)LITEND-dle;
+ }
+ return res;
+ } // decContextTestEndian
+
+/* ------------------------------------------------------------------ */
+/* decContextTestSavedStatus -- test bits in saved status */
+/* */
+/* oldstatus is the status word to be tested */
+/* mask indicates the bits to be tested (the oldstatus bits that */
+/* correspond to each 1 bit in the mask are tested) */
+/* returns 1 if any of the tested bits are 1, or 0 otherwise */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextTestSavedStatus(uInt oldstatus, uInt mask) {
+ return (oldstatus&mask)!=0;
+ } // decContextTestSavedStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextTestStatus -- test bits in current status */
+/* */
+/* context is the context structure to be updated */
+/* mask indicates the bits to be tested (the status bits that */
+/* correspond to each 1 bit in the mask are tested) */
+/* returns 1 if any of the tested bits are 1, or 0 otherwise */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextTestStatus(decContext *context, uInt mask) {
+ return (context->status&mask)!=0;
+ } // decContextTestStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextZeroStatus -- clear all status bits */
+/* */
+/* context is the context structure to be updated */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextZeroStatus(decContext *context) {
+ context->status=0;
+ return context;
+ } // decContextZeroStatus
+
diff -Naur a/src/decNumber/decContext.h b/src/decNumber/decContext.h
--- a/src/decNumber/decContext.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decContext.h 2021-09-29 10:19:45.799827632 -0700
@@ -0,0 +1,254 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Context module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* */
+/* Context variables must always have valid values: */
+/* */
+/* status -- [any bits may be cleared, but not set, by user] */
+/* round -- must be one of the enumerated rounding modes */
+/* */
+/* The following variables are implied for fixed size formats (i.e., */
+/* they are ignored) but should still be set correctly in case used */
+/* with decNumber functions: */
+/* */
+/* clamp -- must be either 0 or 1 */
+/* digits -- must be in the range 1 through 999999999 */
+/* emax -- must be in the range 0 through 999999999 */
+/* emin -- must be in the range 0 through -999999999 */
+/* extended -- must be either 0 or 1 [present only if DECSUBSET] */
+/* traps -- only defined bits may be set */
+/* */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECCONTEXT)
+ #define DECCONTEXT
+ #define DECCNAME "decContext" /* Short name */
+ #define DECCFULLNAME "Decimal Context Descriptor" /* Verbose name */
+ #define DECCAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ #if !defined(int32_t)
+ #include <stdint.h> /* C99 standard integers */
+ #endif
+ #include <stdio.h> /* for printf, etc. */
+ #include <signal.h> /* for traps */
+
+ /* Extended flags setting -- set this to 0 to use only IEEE flags */
+ #if !defined(DECEXTFLAG)
+ #define DECEXTFLAG 1 /* 1=enable extended flags */
+ #endif
+
+ /* Conditional code flag -- set this to 0 for best performance */
+ #if !defined(DECSUBSET)
+ #define DECSUBSET 0 /* 1=enable subset arithmetic */
+ #endif
+
+ /* Context for operations, with associated constants */
+ enum rounding {
+ DEC_ROUND_CEILING, /* round towards +infinity */
+ DEC_ROUND_UP, /* round away from 0 */
+ DEC_ROUND_HALF_UP, /* 0.5 rounds up */
+ DEC_ROUND_HALF_EVEN, /* 0.5 rounds to nearest even */
+ DEC_ROUND_HALF_DOWN, /* 0.5 rounds down */
+ DEC_ROUND_DOWN, /* round towards 0 (truncate) */
+ DEC_ROUND_FLOOR, /* round towards -infinity */
+ DEC_ROUND_05UP, /* round for reround */
+ DEC_ROUND_MAX /* enum must be less than this */
+ };
+ #define DEC_ROUND_DEFAULT DEC_ROUND_HALF_EVEN;
+
+ typedef struct {
+ int32_t digits; /* working precision */
+ int32_t emax; /* maximum positive exponent */
+ int32_t emin; /* minimum negative exponent */
+ enum rounding round; /* rounding mode */
+ uint32_t traps; /* trap-enabler flags */
+ uint32_t status; /* status flags */
+ uint8_t clamp; /* flag: apply IEEE exponent clamp */
+ #if DECSUBSET
+ uint8_t extended; /* flag: special-values allowed */
+ #endif
+ } decContext;
+
+ /* Maxima and Minima for context settings */
+ #define DEC_MAX_DIGITS 999999999
+ #define DEC_MIN_DIGITS 1
+ #define DEC_MAX_EMAX 999999999
+ #define DEC_MIN_EMAX 0
+ #define DEC_MAX_EMIN 0
+ #define DEC_MIN_EMIN -999999999
+ #define DEC_MAX_MATH 999999 /* max emax, etc., for math funcs. */
+
+ /* Classifications for decimal numbers, aligned with 754 (note that */
+ /* 'normal' and 'subnormal' are meaningful only with a decContext */
+ /* or a fixed size format). */
+ enum decClass {
+ DEC_CLASS_SNAN,
+ DEC_CLASS_QNAN,
+ DEC_CLASS_NEG_INF,
+ DEC_CLASS_NEG_NORMAL,
+ DEC_CLASS_NEG_SUBNORMAL,
+ DEC_CLASS_NEG_ZERO,
+ DEC_CLASS_POS_ZERO,
+ DEC_CLASS_POS_SUBNORMAL,
+ DEC_CLASS_POS_NORMAL,
+ DEC_CLASS_POS_INF
+ };
+ /* Strings for the decClasses */
+ #define DEC_ClassString_SN "sNaN"
+ #define DEC_ClassString_QN "NaN"
+ #define DEC_ClassString_NI "-Infinity"
+ #define DEC_ClassString_NN "-Normal"
+ #define DEC_ClassString_NS "-Subnormal"
+ #define DEC_ClassString_NZ "-Zero"
+ #define DEC_ClassString_PZ "+Zero"
+ #define DEC_ClassString_PS "+Subnormal"
+ #define DEC_ClassString_PN "+Normal"
+ #define DEC_ClassString_PI "+Infinity"
+ #define DEC_ClassString_UN "Invalid"
+
+ /* Trap-enabler and Status flags (exceptional conditions), and */
+ /* their names. The top byte is reserved for internal use */
+ #if DECEXTFLAG
+ /* Extended flags */
+ #define DEC_Conversion_syntax 0x00000001
+ #define DEC_Division_by_zero 0x00000002
+ #define DEC_Division_impossible 0x00000004
+ #define DEC_Division_undefined 0x00000008
+ #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */
+ #define DEC_Inexact 0x00000020
+ #define DEC_Invalid_context 0x00000040
+ #define DEC_Invalid_operation 0x00000080
+ #if DECSUBSET
+ #define DEC_Lost_digits 0x00000100
+ #endif
+ #define DEC_Overflow 0x00000200
+ #define DEC_Clamped 0x00000400
+ #define DEC_Rounded 0x00000800
+ #define DEC_Subnormal 0x00001000
+ #define DEC_Underflow 0x00002000
+ #else
+ /* IEEE flags only */
+ #define DEC_Conversion_syntax 0x00000010
+ #define DEC_Division_by_zero 0x00000002
+ #define DEC_Division_impossible 0x00000010
+ #define DEC_Division_undefined 0x00000010
+ #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */
+ #define DEC_Inexact 0x00000001
+ #define DEC_Invalid_context 0x00000010
+ #define DEC_Invalid_operation 0x00000010
+ #if DECSUBSET
+ #define DEC_Lost_digits 0x00000000
+ #endif
+ #define DEC_Overflow 0x00000008
+ #define DEC_Clamped 0x00000000
+ #define DEC_Rounded 0x00000000
+ #define DEC_Subnormal 0x00000000
+ #define DEC_Underflow 0x00000004
+ #endif
+
+ /* IEEE 754 groupings for the flags */
+ /* [DEC_Clamped, DEC_Lost_digits, DEC_Rounded, and DEC_Subnormal */
+ /* are not in IEEE 754] */
+ #define DEC_IEEE_754_Division_by_zero (DEC_Division_by_zero)
+ #if DECSUBSET
+ #define DEC_IEEE_754_Inexact (DEC_Inexact | DEC_Lost_digits)
+ #else
+ #define DEC_IEEE_754_Inexact (DEC_Inexact)
+ #endif
+ #define DEC_IEEE_754_Invalid_operation (DEC_Conversion_syntax | \
+ DEC_Division_impossible | \
+ DEC_Division_undefined | \
+ DEC_Insufficient_storage | \
+ DEC_Invalid_context | \
+ DEC_Invalid_operation)
+ #define DEC_IEEE_754_Overflow (DEC_Overflow)
+ #define DEC_IEEE_754_Underflow (DEC_Underflow)
+
+ /* flags which are normally errors (result is qNaN, infinite, or 0) */
+ #define DEC_Errors (DEC_IEEE_754_Division_by_zero | \
+ DEC_IEEE_754_Invalid_operation | \
+ DEC_IEEE_754_Overflow | DEC_IEEE_754_Underflow)
+ /* flags which cause a result to become qNaN */
+ #define DEC_NaNs DEC_IEEE_754_Invalid_operation
+
+ /* flags which are normally for information only (finite results) */
+ #if DECSUBSET
+ #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact \
+ | DEC_Lost_digits)
+ #else
+ #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact)
+ #endif
+
+ /* IEEE 854 names (for compatibility with older decNumber versions) */
+ #define DEC_IEEE_854_Division_by_zero DEC_IEEE_754_Division_by_zero
+ #define DEC_IEEE_854_Inexact DEC_IEEE_754_Inexact
+ #define DEC_IEEE_854_Invalid_operation DEC_IEEE_754_Invalid_operation
+ #define DEC_IEEE_854_Overflow DEC_IEEE_754_Overflow
+ #define DEC_IEEE_854_Underflow DEC_IEEE_754_Underflow
+
+ /* Name strings for the exceptional conditions */
+ #define DEC_Condition_CS "Conversion syntax"
+ #define DEC_Condition_DZ "Division by zero"
+ #define DEC_Condition_DI "Division impossible"
+ #define DEC_Condition_DU "Division undefined"
+ #define DEC_Condition_IE "Inexact"
+ #define DEC_Condition_IS "Insufficient storage"
+ #define DEC_Condition_IC "Invalid context"
+ #define DEC_Condition_IO "Invalid operation"
+ #if DECSUBSET
+ #define DEC_Condition_LD "Lost digits"
+ #endif
+ #define DEC_Condition_OV "Overflow"
+ #define DEC_Condition_PA "Clamped"
+ #define DEC_Condition_RO "Rounded"
+ #define DEC_Condition_SU "Subnormal"
+ #define DEC_Condition_UN "Underflow"
+ #define DEC_Condition_ZE "No status"
+ #define DEC_Condition_MU "Multiple status"
+ #define DEC_Condition_Length 21 /* length of the longest string, */
+ /* including terminator */
+
+ /* Initialization descriptors, used by decContextDefault */
+ #define DEC_INIT_BASE 0
+ #define DEC_INIT_DECIMAL32 32
+ #define DEC_INIT_DECIMAL64 64
+ #define DEC_INIT_DECIMAL128 128
+ /* Synonyms */
+ #define DEC_INIT_DECSINGLE DEC_INIT_DECIMAL32
+ #define DEC_INIT_DECDOUBLE DEC_INIT_DECIMAL64
+ #define DEC_INIT_DECQUAD DEC_INIT_DECIMAL128
+
+ /* decContext routines */
+ extern decContext * decContextClearStatus(decContext *, uint32_t);
+ extern decContext * decContextDefault(decContext *, int32_t);
+ extern enum rounding decContextGetRounding(decContext *);
+ extern uint32_t decContextGetStatus(decContext *);
+ extern decContext * decContextRestoreStatus(decContext *, uint32_t, uint32_t);
+ extern uint32_t decContextSaveStatus(decContext *, uint32_t);
+ extern decContext * decContextSetRounding(decContext *, enum rounding);
+ extern decContext * decContextSetStatus(decContext *, uint32_t);
+ extern decContext * decContextSetStatusFromString(decContext *, const char *);
+ extern decContext * decContextSetStatusFromStringQuiet(decContext *, const char *);
+ extern decContext * decContextSetStatusQuiet(decContext *, uint32_t);
+ extern const char * decContextStatusToString(const decContext *);
+ extern int32_t decContextTestEndian(uint8_t);
+ extern uint32_t decContextTestSavedStatus(uint32_t, uint32_t);
+ extern uint32_t decContextTestStatus(decContext *, uint32_t);
+ extern decContext * decContextZeroStatus(decContext *);
+
+#endif
diff -Naur a/src/decNumber/decDouble.c b/src/decNumber/decDouble.c
--- a/src/decNumber/decDouble.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decDouble.c 2021-09-29 10:19:45.800827638 -0700
@@ -0,0 +1,140 @@
+/* ------------------------------------------------------------------ */
+/* decDouble.c -- decDouble operations module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises decDouble operations (including conversions) */
+/* ------------------------------------------------------------------ */
+
+#include "decContext.h" // public includes
+#include "decDouble.h" // ..
+
+/* Constant mappings for shared code */
+#define DECPMAX DECDOUBLE_Pmax
+#define DECEMIN DECDOUBLE_Emin
+#define DECEMAX DECDOUBLE_Emax
+#define DECEMAXD DECDOUBLE_EmaxD
+#define DECBYTES DECDOUBLE_Bytes
+#define DECSTRING DECDOUBLE_String
+#define DECECONL DECDOUBLE_EconL
+#define DECBIAS DECDOUBLE_Bias
+#define DECLETS DECDOUBLE_Declets
+#define DECQTINY (-DECDOUBLE_Bias)
+// parameters of next-wider format
+#define DECWBYTES DECQUAD_Bytes
+#define DECWPMAX DECQUAD_Pmax
+#define DECWECONL DECQUAD_EconL
+#define DECWBIAS DECQUAD_Bias
+
+/* Type and function mappings for shared code */
+#define decFloat decDouble // Type name
+#define decFloatWider decQuad // Type name
+
+// Utilities and conversions (binary results, extractors, etc.)
+#define decFloatFromBCD decDoubleFromBCD
+#define decFloatFromInt32 decDoubleFromInt32
+#define decFloatFromPacked decDoubleFromPacked
+#define decFloatFromPackedChecked decDoubleFromPackedChecked
+#define decFloatFromString decDoubleFromString
+#define decFloatFromUInt32 decDoubleFromUInt32
+#define decFloatFromWider decDoubleFromWider
+#define decFloatGetCoefficient decDoubleGetCoefficient
+#define decFloatGetExponent decDoubleGetExponent
+#define decFloatSetCoefficient decDoubleSetCoefficient
+#define decFloatSetExponent decDoubleSetExponent
+#define decFloatShow decDoubleShow
+#define decFloatToBCD decDoubleToBCD
+#define decFloatToEngString decDoubleToEngString
+#define decFloatToInt32 decDoubleToInt32
+#define decFloatToInt32Exact decDoubleToInt32Exact
+#define decFloatToPacked decDoubleToPacked
+#define decFloatToString decDoubleToString
+#define decFloatToUInt32 decDoubleToUInt32
+#define decFloatToUInt32Exact decDoubleToUInt32Exact
+#define decFloatToWider decDoubleToWider
+#define decFloatZero decDoubleZero
+
+// Computational (result is a decFloat)
+#define decFloatAbs decDoubleAbs
+#define decFloatAdd decDoubleAdd
+#define decFloatAnd decDoubleAnd
+#define decFloatDivide decDoubleDivide
+#define decFloatDivideInteger decDoubleDivideInteger
+#define decFloatFMA decDoubleFMA
+#define decFloatInvert decDoubleInvert
+#define decFloatLogB decDoubleLogB
+#define decFloatMax decDoubleMax
+#define decFloatMaxMag decDoubleMaxMag
+#define decFloatMin decDoubleMin
+#define decFloatMinMag decDoubleMinMag
+#define decFloatMinus decDoubleMinus
+#define decFloatMultiply decDoubleMultiply
+#define decFloatNextMinus decDoubleNextMinus
+#define decFloatNextPlus decDoubleNextPlus
+#define decFloatNextToward decDoubleNextToward
+#define decFloatOr decDoubleOr
+#define decFloatPlus decDoublePlus
+#define decFloatQuantize decDoubleQuantize
+#define decFloatReduce decDoubleReduce
+#define decFloatRemainder decDoubleRemainder
+#define decFloatRemainderNear decDoubleRemainderNear
+#define decFloatRotate decDoubleRotate
+#define decFloatScaleB decDoubleScaleB
+#define decFloatShift decDoubleShift
+#define decFloatSubtract decDoubleSubtract
+#define decFloatToIntegralValue decDoubleToIntegralValue
+#define decFloatToIntegralExact decDoubleToIntegralExact
+#define decFloatXor decDoubleXor
+
+// Comparisons
+#define decFloatCompare decDoubleCompare
+#define decFloatCompareSignal decDoubleCompareSignal
+#define decFloatCompareTotal decDoubleCompareTotal
+#define decFloatCompareTotalMag decDoubleCompareTotalMag
+
+// Copies
+#define decFloatCanonical decDoubleCanonical
+#define decFloatCopy decDoubleCopy
+#define decFloatCopyAbs decDoubleCopyAbs
+#define decFloatCopyNegate decDoubleCopyNegate
+#define decFloatCopySign decDoubleCopySign
+
+// Non-computational
+#define decFloatClass decDoubleClass
+#define decFloatClassString decDoubleClassString
+#define decFloatDigits decDoubleDigits
+#define decFloatIsCanonical decDoubleIsCanonical
+#define decFloatIsFinite decDoubleIsFinite
+#define decFloatIsInfinite decDoubleIsInfinite
+#define decFloatIsInteger decDoubleIsInteger
+#define decFloatIsLogical decDoubleIsLogical
+#define decFloatIsNaN decDoubleIsNaN
+#define decFloatIsNegative decDoubleIsNegative
+#define decFloatIsNormal decDoubleIsNormal
+#define decFloatIsPositive decDoubleIsPositive
+#define decFloatIsSignaling decDoubleIsSignaling
+#define decFloatIsSignalling decDoubleIsSignalling
+#define decFloatIsSigned decDoubleIsSigned
+#define decFloatIsSubnormal decDoubleIsSubnormal
+#define decFloatIsZero decDoubleIsZero
+#define decFloatRadix decDoubleRadix
+#define decFloatSameQuantum decDoubleSameQuantum
+#define decFloatVersion decDoubleVersion
+
+#include "decNumberLocal.h" // local includes (need DECPMAX)
+#include "decCommon.c" // non-arithmetic decFloat routines
+#include "decBasic.c" // basic formats routines
+
diff -Naur a/src/decNumber/decDouble.h b/src/decNumber/decDouble.h
--- a/src/decNumber/decDouble.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decDouble.h 2021-09-29 10:19:45.800827638 -0700
@@ -0,0 +1,155 @@
+/* ------------------------------------------------------------------ */
+/* decDouble.h -- Decimal 64-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECDOUBLE)
+ #define DECDOUBLE
+
+ #define DECDOUBLENAME "decimalDouble" /* Short name */
+ #define DECDOUBLETITLE "Decimal 64-bit datum" /* Verbose name */
+ #define DECDOUBLEAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decDoubles */
+ #define DECDOUBLE_Bytes 8 /* length */
+ #define DECDOUBLE_Pmax 16 /* maximum precision (digits) */
+ #define DECDOUBLE_Emin -383 /* minimum adjusted exponent */
+ #define DECDOUBLE_Emax 384 /* maximum adjusted exponent */
+ #define DECDOUBLE_EmaxD 3 /* maximum exponent digits */
+ #define DECDOUBLE_Bias 398 /* bias for the exponent */
+ #define DECDOUBLE_String 25 /* maximum string length, +1 */
+ #define DECDOUBLE_EconL 8 /* exponent continuation length */
+ #define DECDOUBLE_Declets 5 /* count of declets */
+ /* highest biased exponent (Elimit-1) */
+ #define DECDOUBLE_Ehigh (DECDOUBLE_Emax + DECDOUBLE_Bias - (DECDOUBLE_Pmax-1))
+
+ /* Required includes */
+ #include "decContext.h"
+ #include "decQuad.h"
+
+ /* The decDouble decimal 64-bit type, accessible by all sizes */
+ typedef union {
+ uint8_t bytes[DECDOUBLE_Bytes]; /* fields: 1, 5, 8, 50 bits */
+ uint16_t shorts[DECDOUBLE_Bytes/2];
+ uint32_t words[DECDOUBLE_Bytes/4];
+ #if DECUSE64
+ uint64_t longs[DECDOUBLE_Bytes/8];
+ #endif
+ } decDouble;
+
+ /* ---------------------------------------------------------------- */
+ /* Routines -- implemented as decFloat routines in common files */
+ /* ---------------------------------------------------------------- */
+
+ /* Utilities and conversions, extractors, etc.) */
+ extern decDouble * decDoubleFromBCD(decDouble *, int32_t, const uint8_t *, int32_t);
+ extern decDouble * decDoubleFromInt32(decDouble *, int32_t);
+ extern decDouble * decDoubleFromPacked(decDouble *, int32_t, const uint8_t *);
+ extern decDouble * decDoubleFromPackedChecked(decDouble *, int32_t, const uint8_t *);
+ extern decDouble * decDoubleFromString(decDouble *, const char *, decContext *);
+ extern decDouble * decDoubleFromUInt32(decDouble *, uint32_t);
+ extern decDouble * decDoubleFromWider(decDouble *, const decQuad *, decContext *);
+ extern int32_t decDoubleGetCoefficient(const decDouble *, uint8_t *);
+ extern int32_t decDoubleGetExponent(const decDouble *);
+ extern decDouble * decDoubleSetCoefficient(decDouble *, const uint8_t *, int32_t);
+ extern decDouble * decDoubleSetExponent(decDouble *, decContext *, int32_t);
+ extern void decDoubleShow(const decDouble *, const char *);
+ extern int32_t decDoubleToBCD(const decDouble *, int32_t *, uint8_t *);
+ extern char * decDoubleToEngString(const decDouble *, char *);
+ extern int32_t decDoubleToInt32(const decDouble *, decContext *, enum rounding);
+ extern int32_t decDoubleToInt32Exact(const decDouble *, decContext *, enum rounding);
+ extern int32_t decDoubleToPacked(const decDouble *, int32_t *, uint8_t *);
+ extern char * decDoubleToString(const decDouble *, char *);
+ extern uint32_t decDoubleToUInt32(const decDouble *, decContext *, enum rounding);
+ extern uint32_t decDoubleToUInt32Exact(const decDouble *, decContext *, enum rounding);
+ extern decQuad * decDoubleToWider(const decDouble *, decQuad *);
+ extern decDouble * decDoubleZero(decDouble *);
+
+ /* Computational (result is a decDouble) */
+ extern decDouble * decDoubleAbs(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleAdd(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleAnd(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleDivide(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleDivideInteger(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleFMA(decDouble *, const decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleInvert(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleLogB(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMax(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMaxMag(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMin(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMinMag(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMinus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMultiply(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleNextMinus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleNextPlus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleNextToward(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleOr(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoublePlus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleQuantize(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleReduce(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleRemainder(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleRemainderNear(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleRotate(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleScaleB(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleShift(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleSubtract(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleToIntegralValue(decDouble *, const decDouble *, decContext *, enum rounding);
+ extern decDouble * decDoubleToIntegralExact(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleXor(decDouble *, const decDouble *, const decDouble *, decContext *);
+
+ /* Comparisons */
+ extern decDouble * decDoubleCompare(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleCompareSignal(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleCompareTotal(decDouble *, const decDouble *, const decDouble *);
+ extern decDouble * decDoubleCompareTotalMag(decDouble *, const decDouble *, const decDouble *);
+
+ /* Copies */
+ extern decDouble * decDoubleCanonical(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopy(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopyAbs(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopyNegate(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopySign(decDouble *, const decDouble *, const decDouble *);
+
+ /* Non-computational */
+ extern enum decClass decDoubleClass(const decDouble *);
+ extern const char * decDoubleClassString(const decDouble *);
+ extern uint32_t decDoubleDigits(const decDouble *);
+ extern uint32_t decDoubleIsCanonical(const decDouble *);
+ extern uint32_t decDoubleIsFinite(const decDouble *);
+ extern uint32_t decDoubleIsInfinite(const decDouble *);
+ extern uint32_t decDoubleIsInteger(const decDouble *);
+ extern uint32_t decDoubleIsLogical(const decDouble *);
+ extern uint32_t decDoubleIsNaN(const decDouble *);
+ extern uint32_t decDoubleIsNegative(const decDouble *);
+ extern uint32_t decDoubleIsNormal(const decDouble *);
+ extern uint32_t decDoubleIsPositive(const decDouble *);
+ extern uint32_t decDoubleIsSignaling(const decDouble *);
+ extern uint32_t decDoubleIsSignalling(const decDouble *);
+ extern uint32_t decDoubleIsSigned(const decDouble *);
+ extern uint32_t decDoubleIsSubnormal(const decDouble *);
+ extern uint32_t decDoubleIsZero(const decDouble *);
+ extern uint32_t decDoubleRadix(const decDouble *);
+ extern uint32_t decDoubleSameQuantum(const decDouble *, const decDouble *);
+ extern const char * decDoubleVersion(void);
+
+ /* decNumber conversions; these are implemented as macros so as not */
+ /* to force a dependency on decimal64 and decNumber in decDouble. */
+ /* decDoubleFromNumber returns a decimal64 * to avoid warnings. */
+ #define decDoubleToNumber(dq, dn) decimal64ToNumber((decimal64 *)(dq), dn)
+ #define decDoubleFromNumber(dq, dn, set) decimal64FromNumber((decimal64 *)(dq), dn, set)
+
+#endif
diff -Naur a/src/decNumber/decDPD.h b/src/decNumber/decDPD.h
--- a/src/decNumber/decDPD.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decDPD.h 2021-09-29 10:19:45.800827638 -0700
@@ -0,0 +1,1185 @@
+/* ------------------------------------------------------------------------ */
+/* Binary Coded Decimal and Densely Packed Decimal conversion lookup tables */
+/* [Automatically generated -- do not edit. 2008.06.21] */
+/* ------------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* ------------------------------------------------------------------------ */
+/* For details, see DPDecimal.html on the General Decimal Arithmetic page. */
+/* */
+/* This include file defines several DPD and BCD conversion tables: */
+/* */
+/* uint16_t BCD2DPD[2458]; -- BCD -> DPD (0x999 => 2457) */
+/* uint16_t BIN2DPD[1000]; -- Bin -> DPD (999 => 2457) */
+/* uint8_t BIN2CHAR[4001]; -- Bin -> CHAR (999 => '\3' '9' '9' '9') */
+/* uint8_t BIN2BCD8[4000]; -- Bin -> bytes (999 => 9 9 9 3) */
+/* uint16_t DPD2BCD[1024]; -- DPD -> BCD (0x3FF => 0x999) */
+/* uint16_t DPD2BIN[1024]; -- DPD -> BIN (0x3FF => 999) */
+/* uint32_t DPD2BINK[1024]; -- DPD -> BIN * 1000 (0x3FF => 999000) */
+/* uint32_t DPD2BINM[1024]; -- DPD -> BIN * 1E+6 (0x3FF => 999000000) */
+/* uint8_t DPD2BCD8[4096]; -- DPD -> bytes (x3FF => 9 9 9 3) */
+/* */
+/* In all cases the result (10 bits or 12 bits, or binary) is right-aligned */
+/* in the table entry. BIN2CHAR entries are a single byte length (0 for */
+/* value 0) followed by three digit characters; a trailing terminator is */
+/* included to allow 4-char moves always. BIN2BCD8 and DPD2BCD8 entries */
+/* are similar with the three BCD8 digits followed by a one-byte length */
+/* (again, length=0 for value 0). */
+/* */
+/* To use a table, its name, prefixed with DEC_, must be defined with a */
+/* value of 1 before this header file is included. For example: */
+/* #define DEC_BCD2DPD 1 */
+/* This mechanism allows software to only include tables that are needed. */
+/* ------------------------------------------------------------------------ */
+
+#if defined(DEC_BCD2DPD) && DEC_BCD2DPD==1 && !defined(DECBCD2DPD)
+#define DECBCD2DPD
+
+const uint16_t BCD2DPD[2458]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 0, 0, 0, 0, 0, 0, 16, 17, 18, 19, 20,
+ 21, 22, 23, 24, 25, 0, 0, 0, 0, 0, 0, 32, 33,
+ 34, 35, 36, 37, 38, 39, 40, 41, 0, 0, 0, 0, 0,
+ 0, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 0, 0,
+ 0, 0, 0, 0, 64, 65, 66, 67, 68, 69, 70, 71, 72,
+ 73, 0, 0, 0, 0, 0, 0, 80, 81, 82, 83, 84, 85,
+ 86, 87, 88, 89, 0, 0, 0, 0, 0, 0, 96, 97, 98,
+ 99, 100, 101, 102, 103, 104, 105, 0, 0, 0, 0, 0, 0,
+ 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 0, 0, 0,
+ 0, 0, 0, 10, 11, 42, 43, 74, 75, 106, 107, 78, 79,
+ 0, 0, 0, 0, 0, 0, 26, 27, 58, 59, 90, 91, 122,
+ 123, 94, 95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 0, 0,
+ 0, 0, 0, 0, 144, 145, 146, 147, 148, 149, 150, 151, 152,
+ 153, 0, 0, 0, 0, 0, 0, 160, 161, 162, 163, 164, 165,
+ 166, 167, 168, 169, 0, 0, 0, 0, 0, 0, 176, 177, 178,
+ 179, 180, 181, 182, 183, 184, 185, 0, 0, 0, 0, 0, 0,
+ 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 0, 0, 0,
+ 0, 0, 0, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217,
+ 0, 0, 0, 0, 0, 0, 224, 225, 226, 227, 228, 229, 230,
+ 231, 232, 233, 0, 0, 0, 0, 0, 0, 240, 241, 242, 243,
+ 244, 245, 246, 247, 248, 249, 0, 0, 0, 0, 0, 0, 138,
+ 139, 170, 171, 202, 203, 234, 235, 206, 207, 0, 0, 0, 0,
+ 0, 0, 154, 155, 186, 187, 218, 219, 250, 251, 222, 223, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 257, 258,
+ 259, 260, 261, 262, 263, 264, 265, 0, 0, 0, 0, 0, 0,
+ 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 0, 0, 0,
+ 0, 0, 0, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297,
+ 0, 0, 0, 0, 0, 0, 304, 305, 306, 307, 308, 309, 310,
+ 311, 312, 313, 0, 0, 0, 0, 0, 0, 320, 321, 322, 323,
+ 324, 325, 326, 327, 328, 329, 0, 0, 0, 0, 0, 0, 336,
+ 337, 338, 339, 340, 341, 342, 343, 344, 345, 0, 0, 0, 0,
+ 0, 0, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 0,
+ 0, 0, 0, 0, 0, 368, 369, 370, 371, 372, 373, 374, 375,
+ 376, 377, 0, 0, 0, 0, 0, 0, 266, 267, 298, 299, 330,
+ 331, 362, 363, 334, 335, 0, 0, 0, 0, 0, 0, 282, 283,
+ 314, 315, 346, 347, 378, 379, 350, 351, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 384, 385, 386, 387, 388, 389, 390,
+ 391, 392, 393, 0, 0, 0, 0, 0, 0, 400, 401, 402, 403,
+ 404, 405, 406, 407, 408, 409, 0, 0, 0, 0, 0, 0, 416,
+ 417, 418, 419, 420, 421, 422, 423, 424, 425, 0, 0, 0, 0,
+ 0, 0, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 0,
+ 0, 0, 0, 0, 0, 448, 449, 450, 451, 452, 453, 454, 455,
+ 456, 457, 0, 0, 0, 0, 0, 0, 464, 465, 466, 467, 468,
+ 469, 470, 471, 472, 473, 0, 0, 0, 0, 0, 0, 480, 481,
+ 482, 483, 484, 485, 486, 487, 488, 489, 0, 0, 0, 0, 0,
+ 0, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 0, 0,
+ 0, 0, 0, 0, 394, 395, 426, 427, 458, 459, 490, 491, 462,
+ 463, 0, 0, 0, 0, 0, 0, 410, 411, 442, 443, 474, 475,
+ 506, 507, 478, 479, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 0,
+ 0, 0, 0, 0, 0, 528, 529, 530, 531, 532, 533, 534, 535,
+ 536, 537, 0, 0, 0, 0, 0, 0, 544, 545, 546, 547, 548,
+ 549, 550, 551, 552, 553, 0, 0, 0, 0, 0, 0, 560, 561,
+ 562, 563, 564, 565, 566, 567, 568, 569, 0, 0, 0, 0, 0,
+ 0, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 0, 0,
+ 0, 0, 0, 0, 592, 593, 594, 595, 596, 597, 598, 599, 600,
+ 601, 0, 0, 0, 0, 0, 0, 608, 609, 610, 611, 612, 613,
+ 614, 615, 616, 617, 0, 0, 0, 0, 0, 0, 624, 625, 626,
+ 627, 628, 629, 630, 631, 632, 633, 0, 0, 0, 0, 0, 0,
+ 522, 523, 554, 555, 586, 587, 618, 619, 590, 591, 0, 0, 0,
+ 0, 0, 0, 538, 539, 570, 571, 602, 603, 634, 635, 606, 607,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 641,
+ 642, 643, 644, 645, 646, 647, 648, 649, 0, 0, 0, 0, 0,
+ 0, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 0, 0,
+ 0, 0, 0, 0, 672, 673, 674, 675, 676, 677, 678, 679, 680,
+ 681, 0, 0, 0, 0, 0, 0, 688, 689, 690, 691, 692, 693,
+ 694, 695, 696, 697, 0, 0, 0, 0, 0, 0, 704, 705, 706,
+ 707, 708, 709, 710, 711, 712, 713, 0, 0, 0, 0, 0, 0,
+ 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 0, 0, 0,
+ 0, 0, 0, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745,
+ 0, 0, 0, 0, 0, 0, 752, 753, 754, 755, 756, 757, 758,
+ 759, 760, 761, 0, 0, 0, 0, 0, 0, 650, 651, 682, 683,
+ 714, 715, 746, 747, 718, 719, 0, 0, 0, 0, 0, 0, 666,
+ 667, 698, 699, 730, 731, 762, 763, 734, 735, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 768, 769, 770, 771, 772, 773,
+ 774, 775, 776, 777, 0, 0, 0, 0, 0, 0, 784, 785, 786,
+ 787, 788, 789, 790, 791, 792, 793, 0, 0, 0, 0, 0, 0,
+ 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 0, 0, 0,
+ 0, 0, 0, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825,
+ 0, 0, 0, 0, 0, 0, 832, 833, 834, 835, 836, 837, 838,
+ 839, 840, 841, 0, 0, 0, 0, 0, 0, 848, 849, 850, 851,
+ 852, 853, 854, 855, 856, 857, 0, 0, 0, 0, 0, 0, 864,
+ 865, 866, 867, 868, 869, 870, 871, 872, 873, 0, 0, 0, 0,
+ 0, 0, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 0,
+ 0, 0, 0, 0, 0, 778, 779, 810, 811, 842, 843, 874, 875,
+ 846, 847, 0, 0, 0, 0, 0, 0, 794, 795, 826, 827, 858,
+ 859, 890, 891, 862, 863, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905,
+ 0, 0, 0, 0, 0, 0, 912, 913, 914, 915, 916, 917, 918,
+ 919, 920, 921, 0, 0, 0, 0, 0, 0, 928, 929, 930, 931,
+ 932, 933, 934, 935, 936, 937, 0, 0, 0, 0, 0, 0, 944,
+ 945, 946, 947, 948, 949, 950, 951, 952, 953, 0, 0, 0, 0,
+ 0, 0, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 0,
+ 0, 0, 0, 0, 0, 976, 977, 978, 979, 980, 981, 982, 983,
+ 984, 985, 0, 0, 0, 0, 0, 0, 992, 993, 994, 995, 996,
+ 997, 998, 999, 1000, 1001, 0, 0, 0, 0, 0, 0, 1008, 1009,
+ 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 0, 0, 0, 0, 0,
+ 0, 906, 907, 938, 939, 970, 971, 1002, 1003, 974, 975, 0, 0,
+ 0, 0, 0, 0, 922, 923, 954, 955, 986, 987, 1018, 1019, 990,
+ 991, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12,
+ 13, 268, 269, 524, 525, 780, 781, 46, 47, 0, 0, 0, 0,
+ 0, 0, 28, 29, 284, 285, 540, 541, 796, 797, 62, 63, 0,
+ 0, 0, 0, 0, 0, 44, 45, 300, 301, 556, 557, 812, 813,
+ 302, 303, 0, 0, 0, 0, 0, 0, 60, 61, 316, 317, 572,
+ 573, 828, 829, 318, 319, 0, 0, 0, 0, 0, 0, 76, 77,
+ 332, 333, 588, 589, 844, 845, 558, 559, 0, 0, 0, 0, 0,
+ 0, 92, 93, 348, 349, 604, 605, 860, 861, 574, 575, 0, 0,
+ 0, 0, 0, 0, 108, 109, 364, 365, 620, 621, 876, 877, 814,
+ 815, 0, 0, 0, 0, 0, 0, 124, 125, 380, 381, 636, 637,
+ 892, 893, 830, 831, 0, 0, 0, 0, 0, 0, 14, 15, 270,
+ 271, 526, 527, 782, 783, 110, 111, 0, 0, 0, 0, 0, 0,
+ 30, 31, 286, 287, 542, 543, 798, 799, 126, 127, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 140, 141, 396, 397, 652,
+ 653, 908, 909, 174, 175, 0, 0, 0, 0, 0, 0, 156, 157,
+ 412, 413, 668, 669, 924, 925, 190, 191, 0, 0, 0, 0, 0,
+ 0, 172, 173, 428, 429, 684, 685, 940, 941, 430, 431, 0, 0,
+ 0, 0, 0, 0, 188, 189, 444, 445, 700, 701, 956, 957, 446,
+ 447, 0, 0, 0, 0, 0, 0, 204, 205, 460, 461, 716, 717,
+ 972, 973, 686, 687, 0, 0, 0, 0, 0, 0, 220, 221, 476,
+ 477, 732, 733, 988, 989, 702, 703, 0, 0, 0, 0, 0, 0,
+ 236, 237, 492, 493, 748, 749, 1004, 1005, 942, 943, 0, 0, 0,
+ 0, 0, 0, 252, 253, 508, 509, 764, 765, 1020, 1021, 958, 959,
+ 0, 0, 0, 0, 0, 0, 142, 143, 398, 399, 654, 655, 910,
+ 911, 238, 239, 0, 0, 0, 0, 0, 0, 158, 159, 414, 415,
+ 670, 671, 926, 927, 254, 255};
+#endif
+
+#if defined(DEC_DPD2BCD) && DEC_DPD2BCD==1 && !defined(DECDPD2BCD)
+#define DECDPD2BCD
+
+const uint16_t DPD2BCD[1024]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 128, 129, 2048, 2049, 2176, 2177, 16, 17, 18, 19, 20,
+ 21, 22, 23, 24, 25, 144, 145, 2064, 2065, 2192, 2193, 32, 33,
+ 34, 35, 36, 37, 38, 39, 40, 41, 130, 131, 2080, 2081, 2056,
+ 2057, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 146, 147,
+ 2096, 2097, 2072, 2073, 64, 65, 66, 67, 68, 69, 70, 71, 72,
+ 73, 132, 133, 2112, 2113, 136, 137, 80, 81, 82, 83, 84, 85,
+ 86, 87, 88, 89, 148, 149, 2128, 2129, 152, 153, 96, 97, 98,
+ 99, 100, 101, 102, 103, 104, 105, 134, 135, 2144, 2145, 2184, 2185,
+ 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 150, 151, 2160,
+ 2161, 2200, 2201, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265,
+ 384, 385, 2304, 2305, 2432, 2433, 272, 273, 274, 275, 276, 277, 278,
+ 279, 280, 281, 400, 401, 2320, 2321, 2448, 2449, 288, 289, 290, 291,
+ 292, 293, 294, 295, 296, 297, 386, 387, 2336, 2337, 2312, 2313, 304,
+ 305, 306, 307, 308, 309, 310, 311, 312, 313, 402, 403, 2352, 2353,
+ 2328, 2329, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 388,
+ 389, 2368, 2369, 392, 393, 336, 337, 338, 339, 340, 341, 342, 343,
+ 344, 345, 404, 405, 2384, 2385, 408, 409, 352, 353, 354, 355, 356,
+ 357, 358, 359, 360, 361, 390, 391, 2400, 2401, 2440, 2441, 368, 369,
+ 370, 371, 372, 373, 374, 375, 376, 377, 406, 407, 2416, 2417, 2456,
+ 2457, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 640, 641,
+ 2050, 2051, 2178, 2179, 528, 529, 530, 531, 532, 533, 534, 535, 536,
+ 537, 656, 657, 2066, 2067, 2194, 2195, 544, 545, 546, 547, 548, 549,
+ 550, 551, 552, 553, 642, 643, 2082, 2083, 2088, 2089, 560, 561, 562,
+ 563, 564, 565, 566, 567, 568, 569, 658, 659, 2098, 2099, 2104, 2105,
+ 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 644, 645, 2114,
+ 2115, 648, 649, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601,
+ 660, 661, 2130, 2131, 664, 665, 608, 609, 610, 611, 612, 613, 614,
+ 615, 616, 617, 646, 647, 2146, 2147, 2184, 2185, 624, 625, 626, 627,
+ 628, 629, 630, 631, 632, 633, 662, 663, 2162, 2163, 2200, 2201, 768,
+ 769, 770, 771, 772, 773, 774, 775, 776, 777, 896, 897, 2306, 2307,
+ 2434, 2435, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 912,
+ 913, 2322, 2323, 2450, 2451, 800, 801, 802, 803, 804, 805, 806, 807,
+ 808, 809, 898, 899, 2338, 2339, 2344, 2345, 816, 817, 818, 819, 820,
+ 821, 822, 823, 824, 825, 914, 915, 2354, 2355, 2360, 2361, 832, 833,
+ 834, 835, 836, 837, 838, 839, 840, 841, 900, 901, 2370, 2371, 904,
+ 905, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 916, 917,
+ 2386, 2387, 920, 921, 864, 865, 866, 867, 868, 869, 870, 871, 872,
+ 873, 902, 903, 2402, 2403, 2440, 2441, 880, 881, 882, 883, 884, 885,
+ 886, 887, 888, 889, 918, 919, 2418, 2419, 2456, 2457, 1024, 1025, 1026,
+ 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1152, 1153, 2052, 2053, 2180, 2181,
+ 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1168, 1169, 2068,
+ 2069, 2196, 2197, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065,
+ 1154, 1155, 2084, 2085, 2120, 2121, 1072, 1073, 1074, 1075, 1076, 1077, 1078,
+ 1079, 1080, 1081, 1170, 1171, 2100, 2101, 2136, 2137, 1088, 1089, 1090, 1091,
+ 1092, 1093, 1094, 1095, 1096, 1097, 1156, 1157, 2116, 2117, 1160, 1161, 1104,
+ 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1172, 1173, 2132, 2133,
+ 1176, 1177, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1158,
+ 1159, 2148, 2149, 2184, 2185, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143,
+ 1144, 1145, 1174, 1175, 2164, 2165, 2200, 2201, 1280, 1281, 1282, 1283, 1284,
+ 1285, 1286, 1287, 1288, 1289, 1408, 1409, 2308, 2309, 2436, 2437, 1296, 1297,
+ 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1424, 1425, 2324, 2325, 2452,
+ 2453, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1410, 1411,
+ 2340, 2341, 2376, 2377, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336,
+ 1337, 1426, 1427, 2356, 2357, 2392, 2393, 1344, 1345, 1346, 1347, 1348, 1349,
+ 1350, 1351, 1352, 1353, 1412, 1413, 2372, 2373, 1416, 1417, 1360, 1361, 1362,
+ 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1428, 1429, 2388, 2389, 1432, 1433,
+ 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1414, 1415, 2404,
+ 2405, 2440, 2441, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401,
+ 1430, 1431, 2420, 2421, 2456, 2457, 1536, 1537, 1538, 1539, 1540, 1541, 1542,
+ 1543, 1544, 1545, 1664, 1665, 2054, 2055, 2182, 2183, 1552, 1553, 1554, 1555,
+ 1556, 1557, 1558, 1559, 1560, 1561, 1680, 1681, 2070, 2071, 2198, 2199, 1568,
+ 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1666, 1667, 2086, 2087,
+ 2152, 2153, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1682,
+ 1683, 2102, 2103, 2168, 2169, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607,
+ 1608, 1609, 1668, 1669, 2118, 2119, 1672, 1673, 1616, 1617, 1618, 1619, 1620,
+ 1621, 1622, 1623, 1624, 1625, 1684, 1685, 2134, 2135, 1688, 1689, 1632, 1633,
+ 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1670, 1671, 2150, 2151, 2184,
+ 2185, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1686, 1687,
+ 2166, 2167, 2200, 2201, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800,
+ 1801, 1920, 1921, 2310, 2311, 2438, 2439, 1808, 1809, 1810, 1811, 1812, 1813,
+ 1814, 1815, 1816, 1817, 1936, 1937, 2326, 2327, 2454, 2455, 1824, 1825, 1826,
+ 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1922, 1923, 2342, 2343, 2408, 2409,
+ 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1938, 1939, 2358,
+ 2359, 2424, 2425, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865,
+ 1924, 1925, 2374, 2375, 1928, 1929, 1872, 1873, 1874, 1875, 1876, 1877, 1878,
+ 1879, 1880, 1881, 1940, 1941, 2390, 2391, 1944, 1945, 1888, 1889, 1890, 1891,
+ 1892, 1893, 1894, 1895, 1896, 1897, 1926, 1927, 2406, 2407, 2440, 2441, 1904,
+ 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1942, 1943, 2422, 2423,
+ 2456, 2457};
+#endif
+
+#if defined(DEC_BIN2DPD) && DEC_BIN2DPD==1 && !defined(DECBIN2DPD)
+#define DECBIN2DPD
+
+const uint16_t BIN2DPD[1000]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 32,
+ 33, 34, 35, 36, 37, 38, 39, 40, 41, 48, 49, 50, 51,
+ 52, 53, 54, 55, 56, 57, 64, 65, 66, 67, 68, 69, 70,
+ 71, 72, 73, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+ 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 112, 113, 114,
+ 115, 116, 117, 118, 119, 120, 121, 10, 11, 42, 43, 74, 75,
+ 106, 107, 78, 79, 26, 27, 58, 59, 90, 91, 122, 123, 94,
+ 95, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 144, 145,
+ 146, 147, 148, 149, 150, 151, 152, 153, 160, 161, 162, 163, 164,
+ 165, 166, 167, 168, 169, 176, 177, 178, 179, 180, 181, 182, 183,
+ 184, 185, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 208,
+ 209, 210, 211, 212, 213, 214, 215, 216, 217, 224, 225, 226, 227,
+ 228, 229, 230, 231, 232, 233, 240, 241, 242, 243, 244, 245, 246,
+ 247, 248, 249, 138, 139, 170, 171, 202, 203, 234, 235, 206, 207,
+ 154, 155, 186, 187, 218, 219, 250, 251, 222, 223, 256, 257, 258,
+ 259, 260, 261, 262, 263, 264, 265, 272, 273, 274, 275, 276, 277,
+ 278, 279, 280, 281, 288, 289, 290, 291, 292, 293, 294, 295, 296,
+ 297, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 320, 321,
+ 322, 323, 324, 325, 326, 327, 328, 329, 336, 337, 338, 339, 340,
+ 341, 342, 343, 344, 345, 352, 353, 354, 355, 356, 357, 358, 359,
+ 360, 361, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 266,
+ 267, 298, 299, 330, 331, 362, 363, 334, 335, 282, 283, 314, 315,
+ 346, 347, 378, 379, 350, 351, 384, 385, 386, 387, 388, 389, 390,
+ 391, 392, 393, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409,
+ 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 432, 433, 434,
+ 435, 436, 437, 438, 439, 440, 441, 448, 449, 450, 451, 452, 453,
+ 454, 455, 456, 457, 464, 465, 466, 467, 468, 469, 470, 471, 472,
+ 473, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 496, 497,
+ 498, 499, 500, 501, 502, 503, 504, 505, 394, 395, 426, 427, 458,
+ 459, 490, 491, 462, 463, 410, 411, 442, 443, 474, 475, 506, 507,
+ 478, 479, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 528,
+ 529, 530, 531, 532, 533, 534, 535, 536, 537, 544, 545, 546, 547,
+ 548, 549, 550, 551, 552, 553, 560, 561, 562, 563, 564, 565, 566,
+ 567, 568, 569, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585,
+ 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 608, 609, 610,
+ 611, 612, 613, 614, 615, 616, 617, 624, 625, 626, 627, 628, 629,
+ 630, 631, 632, 633, 522, 523, 554, 555, 586, 587, 618, 619, 590,
+ 591, 538, 539, 570, 571, 602, 603, 634, 635, 606, 607, 640, 641,
+ 642, 643, 644, 645, 646, 647, 648, 649, 656, 657, 658, 659, 660,
+ 661, 662, 663, 664, 665, 672, 673, 674, 675, 676, 677, 678, 679,
+ 680, 681, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 704,
+ 705, 706, 707, 708, 709, 710, 711, 712, 713, 720, 721, 722, 723,
+ 724, 725, 726, 727, 728, 729, 736, 737, 738, 739, 740, 741, 742,
+ 743, 744, 745, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761,
+ 650, 651, 682, 683, 714, 715, 746, 747, 718, 719, 666, 667, 698,
+ 699, 730, 731, 762, 763, 734, 735, 768, 769, 770, 771, 772, 773,
+ 774, 775, 776, 777, 784, 785, 786, 787, 788, 789, 790, 791, 792,
+ 793, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 816, 817,
+ 818, 819, 820, 821, 822, 823, 824, 825, 832, 833, 834, 835, 836,
+ 837, 838, 839, 840, 841, 848, 849, 850, 851, 852, 853, 854, 855,
+ 856, 857, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 880,
+ 881, 882, 883, 884, 885, 886, 887, 888, 889, 778, 779, 810, 811,
+ 842, 843, 874, 875, 846, 847, 794, 795, 826, 827, 858, 859, 890,
+ 891, 862, 863, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905,
+ 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 928, 929, 930,
+ 931, 932, 933, 934, 935, 936, 937, 944, 945, 946, 947, 948, 949,
+ 950, 951, 952, 953, 960, 961, 962, 963, 964, 965, 966, 967, 968,
+ 969, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 992, 993,
+ 994, 995, 996, 997, 998, 999, 1000, 1001, 1008, 1009, 1010, 1011, 1012,
+ 1013, 1014, 1015, 1016, 1017, 906, 907, 938, 939, 970, 971, 1002, 1003,
+ 974, 975, 922, 923, 954, 955, 986, 987, 1018, 1019, 990, 991, 12,
+ 13, 268, 269, 524, 525, 780, 781, 46, 47, 28, 29, 284, 285,
+ 540, 541, 796, 797, 62, 63, 44, 45, 300, 301, 556, 557, 812,
+ 813, 302, 303, 60, 61, 316, 317, 572, 573, 828, 829, 318, 319,
+ 76, 77, 332, 333, 588, 589, 844, 845, 558, 559, 92, 93, 348,
+ 349, 604, 605, 860, 861, 574, 575, 108, 109, 364, 365, 620, 621,
+ 876, 877, 814, 815, 124, 125, 380, 381, 636, 637, 892, 893, 830,
+ 831, 14, 15, 270, 271, 526, 527, 782, 783, 110, 111, 30, 31,
+ 286, 287, 542, 543, 798, 799, 126, 127, 140, 141, 396, 397, 652,
+ 653, 908, 909, 174, 175, 156, 157, 412, 413, 668, 669, 924, 925,
+ 190, 191, 172, 173, 428, 429, 684, 685, 940, 941, 430, 431, 188,
+ 189, 444, 445, 700, 701, 956, 957, 446, 447, 204, 205, 460, 461,
+ 716, 717, 972, 973, 686, 687, 220, 221, 476, 477, 732, 733, 988,
+ 989, 702, 703, 236, 237, 492, 493, 748, 749, 1004, 1005, 942, 943,
+ 252, 253, 508, 509, 764, 765, 1020, 1021, 958, 959, 142, 143, 398,
+ 399, 654, 655, 910, 911, 238, 239, 158, 159, 414, 415, 670, 671,
+ 926, 927, 254, 255};
+#endif
+
+#if defined(DEC_DPD2BIN) && DEC_DPD2BIN==1 && !defined(DECDPD2BIN)
+#define DECDPD2BIN
+
+const uint16_t DPD2BIN[1024]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 80, 81, 800, 801, 880, 881, 10, 11, 12, 13, 14,
+ 15, 16, 17, 18, 19, 90, 91, 810, 811, 890, 891, 20, 21,
+ 22, 23, 24, 25, 26, 27, 28, 29, 82, 83, 820, 821, 808,
+ 809, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 92, 93,
+ 830, 831, 818, 819, 40, 41, 42, 43, 44, 45, 46, 47, 48,
+ 49, 84, 85, 840, 841, 88, 89, 50, 51, 52, 53, 54, 55,
+ 56, 57, 58, 59, 94, 95, 850, 851, 98, 99, 60, 61, 62,
+ 63, 64, 65, 66, 67, 68, 69, 86, 87, 860, 861, 888, 889,
+ 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 96, 97, 870,
+ 871, 898, 899, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109,
+ 180, 181, 900, 901, 980, 981, 110, 111, 112, 113, 114, 115, 116,
+ 117, 118, 119, 190, 191, 910, 911, 990, 991, 120, 121, 122, 123,
+ 124, 125, 126, 127, 128, 129, 182, 183, 920, 921, 908, 909, 130,
+ 131, 132, 133, 134, 135, 136, 137, 138, 139, 192, 193, 930, 931,
+ 918, 919, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 184,
+ 185, 940, 941, 188, 189, 150, 151, 152, 153, 154, 155, 156, 157,
+ 158, 159, 194, 195, 950, 951, 198, 199, 160, 161, 162, 163, 164,
+ 165, 166, 167, 168, 169, 186, 187, 960, 961, 988, 989, 170, 171,
+ 172, 173, 174, 175, 176, 177, 178, 179, 196, 197, 970, 971, 998,
+ 999, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 280, 281,
+ 802, 803, 882, 883, 210, 211, 212, 213, 214, 215, 216, 217, 218,
+ 219, 290, 291, 812, 813, 892, 893, 220, 221, 222, 223, 224, 225,
+ 226, 227, 228, 229, 282, 283, 822, 823, 828, 829, 230, 231, 232,
+ 233, 234, 235, 236, 237, 238, 239, 292, 293, 832, 833, 838, 839,
+ 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 284, 285, 842,
+ 843, 288, 289, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259,
+ 294, 295, 852, 853, 298, 299, 260, 261, 262, 263, 264, 265, 266,
+ 267, 268, 269, 286, 287, 862, 863, 888, 889, 270, 271, 272, 273,
+ 274, 275, 276, 277, 278, 279, 296, 297, 872, 873, 898, 899, 300,
+ 301, 302, 303, 304, 305, 306, 307, 308, 309, 380, 381, 902, 903,
+ 982, 983, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 390,
+ 391, 912, 913, 992, 993, 320, 321, 322, 323, 324, 325, 326, 327,
+ 328, 329, 382, 383, 922, 923, 928, 929, 330, 331, 332, 333, 334,
+ 335, 336, 337, 338, 339, 392, 393, 932, 933, 938, 939, 340, 341,
+ 342, 343, 344, 345, 346, 347, 348, 349, 384, 385, 942, 943, 388,
+ 389, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 394, 395,
+ 952, 953, 398, 399, 360, 361, 362, 363, 364, 365, 366, 367, 368,
+ 369, 386, 387, 962, 963, 988, 989, 370, 371, 372, 373, 374, 375,
+ 376, 377, 378, 379, 396, 397, 972, 973, 998, 999, 400, 401, 402,
+ 403, 404, 405, 406, 407, 408, 409, 480, 481, 804, 805, 884, 885,
+ 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 490, 491, 814,
+ 815, 894, 895, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429,
+ 482, 483, 824, 825, 848, 849, 430, 431, 432, 433, 434, 435, 436,
+ 437, 438, 439, 492, 493, 834, 835, 858, 859, 440, 441, 442, 443,
+ 444, 445, 446, 447, 448, 449, 484, 485, 844, 845, 488, 489, 450,
+ 451, 452, 453, 454, 455, 456, 457, 458, 459, 494, 495, 854, 855,
+ 498, 499, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 486,
+ 487, 864, 865, 888, 889, 470, 471, 472, 473, 474, 475, 476, 477,
+ 478, 479, 496, 497, 874, 875, 898, 899, 500, 501, 502, 503, 504,
+ 505, 506, 507, 508, 509, 580, 581, 904, 905, 984, 985, 510, 511,
+ 512, 513, 514, 515, 516, 517, 518, 519, 590, 591, 914, 915, 994,
+ 995, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 582, 583,
+ 924, 925, 948, 949, 530, 531, 532, 533, 534, 535, 536, 537, 538,
+ 539, 592, 593, 934, 935, 958, 959, 540, 541, 542, 543, 544, 545,
+ 546, 547, 548, 549, 584, 585, 944, 945, 588, 589, 550, 551, 552,
+ 553, 554, 555, 556, 557, 558, 559, 594, 595, 954, 955, 598, 599,
+ 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 586, 587, 964,
+ 965, 988, 989, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579,
+ 596, 597, 974, 975, 998, 999, 600, 601, 602, 603, 604, 605, 606,
+ 607, 608, 609, 680, 681, 806, 807, 886, 887, 610, 611, 612, 613,
+ 614, 615, 616, 617, 618, 619, 690, 691, 816, 817, 896, 897, 620,
+ 621, 622, 623, 624, 625, 626, 627, 628, 629, 682, 683, 826, 827,
+ 868, 869, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 692,
+ 693, 836, 837, 878, 879, 640, 641, 642, 643, 644, 645, 646, 647,
+ 648, 649, 684, 685, 846, 847, 688, 689, 650, 651, 652, 653, 654,
+ 655, 656, 657, 658, 659, 694, 695, 856, 857, 698, 699, 660, 661,
+ 662, 663, 664, 665, 666, 667, 668, 669, 686, 687, 866, 867, 888,
+ 889, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 696, 697,
+ 876, 877, 898, 899, 700, 701, 702, 703, 704, 705, 706, 707, 708,
+ 709, 780, 781, 906, 907, 986, 987, 710, 711, 712, 713, 714, 715,
+ 716, 717, 718, 719, 790, 791, 916, 917, 996, 997, 720, 721, 722,
+ 723, 724, 725, 726, 727, 728, 729, 782, 783, 926, 927, 968, 969,
+ 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 792, 793, 936,
+ 937, 978, 979, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749,
+ 784, 785, 946, 947, 788, 789, 750, 751, 752, 753, 754, 755, 756,
+ 757, 758, 759, 794, 795, 956, 957, 798, 799, 760, 761, 762, 763,
+ 764, 765, 766, 767, 768, 769, 786, 787, 966, 967, 988, 989, 770,
+ 771, 772, 773, 774, 775, 776, 777, 778, 779, 796, 797, 976, 977,
+ 998, 999};
+#endif
+
+#if defined(DEC_DPD2BINK) && DEC_DPD2BINK==1 && !defined(DECDPD2BINK)
+#define DECDPD2BINK
+
+const uint32_t DPD2BINK[1024]={ 0, 1000, 2000, 3000, 4000, 5000,
+ 6000, 7000, 8000, 9000, 80000, 81000, 800000, 801000, 880000, 881000,
+ 10000, 11000, 12000, 13000, 14000, 15000, 16000, 17000, 18000, 19000,
+ 90000, 91000, 810000, 811000, 890000, 891000, 20000, 21000, 22000, 23000,
+ 24000, 25000, 26000, 27000, 28000, 29000, 82000, 83000, 820000, 821000,
+ 808000, 809000, 30000, 31000, 32000, 33000, 34000, 35000, 36000, 37000,
+ 38000, 39000, 92000, 93000, 830000, 831000, 818000, 819000, 40000, 41000,
+ 42000, 43000, 44000, 45000, 46000, 47000, 48000, 49000, 84000, 85000,
+ 840000, 841000, 88000, 89000, 50000, 51000, 52000, 53000, 54000, 55000,
+ 56000, 57000, 58000, 59000, 94000, 95000, 850000, 851000, 98000, 99000,
+ 60000, 61000, 62000, 63000, 64000, 65000, 66000, 67000, 68000, 69000,
+ 86000, 87000, 860000, 861000, 888000, 889000, 70000, 71000, 72000, 73000,
+ 74000, 75000, 76000, 77000, 78000, 79000, 96000, 97000, 870000, 871000,
+ 898000, 899000, 100000, 101000, 102000, 103000, 104000, 105000, 106000, 107000,
+ 108000, 109000, 180000, 181000, 900000, 901000, 980000, 981000, 110000, 111000,
+ 112000, 113000, 114000, 115000, 116000, 117000, 118000, 119000, 190000, 191000,
+ 910000, 911000, 990000, 991000, 120000, 121000, 122000, 123000, 124000, 125000,
+ 126000, 127000, 128000, 129000, 182000, 183000, 920000, 921000, 908000, 909000,
+ 130000, 131000, 132000, 133000, 134000, 135000, 136000, 137000, 138000, 139000,
+ 192000, 193000, 930000, 931000, 918000, 919000, 140000, 141000, 142000, 143000,
+ 144000, 145000, 146000, 147000, 148000, 149000, 184000, 185000, 940000, 941000,
+ 188000, 189000, 150000, 151000, 152000, 153000, 154000, 155000, 156000, 157000,
+ 158000, 159000, 194000, 195000, 950000, 951000, 198000, 199000, 160000, 161000,
+ 162000, 163000, 164000, 165000, 166000, 167000, 168000, 169000, 186000, 187000,
+ 960000, 961000, 988000, 989000, 170000, 171000, 172000, 173000, 174000, 175000,
+ 176000, 177000, 178000, 179000, 196000, 197000, 970000, 971000, 998000, 999000,
+ 200000, 201000, 202000, 203000, 204000, 205000, 206000, 207000, 208000, 209000,
+ 280000, 281000, 802000, 803000, 882000, 883000, 210000, 211000, 212000, 213000,
+ 214000, 215000, 216000, 217000, 218000, 219000, 290000, 291000, 812000, 813000,
+ 892000, 893000, 220000, 221000, 222000, 223000, 224000, 225000, 226000, 227000,
+ 228000, 229000, 282000, 283000, 822000, 823000, 828000, 829000, 230000, 231000,
+ 232000, 233000, 234000, 235000, 236000, 237000, 238000, 239000, 292000, 293000,
+ 832000, 833000, 838000, 839000, 240000, 241000, 242000, 243000, 244000, 245000,
+ 246000, 247000, 248000, 249000, 284000, 285000, 842000, 843000, 288000, 289000,
+ 250000, 251000, 252000, 253000, 254000, 255000, 256000, 257000, 258000, 259000,
+ 294000, 295000, 852000, 853000, 298000, 299000, 260000, 261000, 262000, 263000,
+ 264000, 265000, 266000, 267000, 268000, 269000, 286000, 287000, 862000, 863000,
+ 888000, 889000, 270000, 271000, 272000, 273000, 274000, 275000, 276000, 277000,
+ 278000, 279000, 296000, 297000, 872000, 873000, 898000, 899000, 300000, 301000,
+ 302000, 303000, 304000, 305000, 306000, 307000, 308000, 309000, 380000, 381000,
+ 902000, 903000, 982000, 983000, 310000, 311000, 312000, 313000, 314000, 315000,
+ 316000, 317000, 318000, 319000, 390000, 391000, 912000, 913000, 992000, 993000,
+ 320000, 321000, 322000, 323000, 324000, 325000, 326000, 327000, 328000, 329000,
+ 382000, 383000, 922000, 923000, 928000, 929000, 330000, 331000, 332000, 333000,
+ 334000, 335000, 336000, 337000, 338000, 339000, 392000, 393000, 932000, 933000,
+ 938000, 939000, 340000, 341000, 342000, 343000, 344000, 345000, 346000, 347000,
+ 348000, 349000, 384000, 385000, 942000, 943000, 388000, 389000, 350000, 351000,
+ 352000, 353000, 354000, 355000, 356000, 357000, 358000, 359000, 394000, 395000,
+ 952000, 953000, 398000, 399000, 360000, 361000, 362000, 363000, 364000, 365000,
+ 366000, 367000, 368000, 369000, 386000, 387000, 962000, 963000, 988000, 989000,
+ 370000, 371000, 372000, 373000, 374000, 375000, 376000, 377000, 378000, 379000,
+ 396000, 397000, 972000, 973000, 998000, 999000, 400000, 401000, 402000, 403000,
+ 404000, 405000, 406000, 407000, 408000, 409000, 480000, 481000, 804000, 805000,
+ 884000, 885000, 410000, 411000, 412000, 413000, 414000, 415000, 416000, 417000,
+ 418000, 419000, 490000, 491000, 814000, 815000, 894000, 895000, 420000, 421000,
+ 422000, 423000, 424000, 425000, 426000, 427000, 428000, 429000, 482000, 483000,
+ 824000, 825000, 848000, 849000, 430000, 431000, 432000, 433000, 434000, 435000,
+ 436000, 437000, 438000, 439000, 492000, 493000, 834000, 835000, 858000, 859000,
+ 440000, 441000, 442000, 443000, 444000, 445000, 446000, 447000, 448000, 449000,
+ 484000, 485000, 844000, 845000, 488000, 489000, 450000, 451000, 452000, 453000,
+ 454000, 455000, 456000, 457000, 458000, 459000, 494000, 495000, 854000, 855000,
+ 498000, 499000, 460000, 461000, 462000, 463000, 464000, 465000, 466000, 467000,
+ 468000, 469000, 486000, 487000, 864000, 865000, 888000, 889000, 470000, 471000,
+ 472000, 473000, 474000, 475000, 476000, 477000, 478000, 479000, 496000, 497000,
+ 874000, 875000, 898000, 899000, 500000, 501000, 502000, 503000, 504000, 505000,
+ 506000, 507000, 508000, 509000, 580000, 581000, 904000, 905000, 984000, 985000,
+ 510000, 511000, 512000, 513000, 514000, 515000, 516000, 517000, 518000, 519000,
+ 590000, 591000, 914000, 915000, 994000, 995000, 520000, 521000, 522000, 523000,
+ 524000, 525000, 526000, 527000, 528000, 529000, 582000, 583000, 924000, 925000,
+ 948000, 949000, 530000, 531000, 532000, 533000, 534000, 535000, 536000, 537000,
+ 538000, 539000, 592000, 593000, 934000, 935000, 958000, 959000, 540000, 541000,
+ 542000, 543000, 544000, 545000, 546000, 547000, 548000, 549000, 584000, 585000,
+ 944000, 945000, 588000, 589000, 550000, 551000, 552000, 553000, 554000, 555000,
+ 556000, 557000, 558000, 559000, 594000, 595000, 954000, 955000, 598000, 599000,
+ 560000, 561000, 562000, 563000, 564000, 565000, 566000, 567000, 568000, 569000,
+ 586000, 587000, 964000, 965000, 988000, 989000, 570000, 571000, 572000, 573000,
+ 574000, 575000, 576000, 577000, 578000, 579000, 596000, 597000, 974000, 975000,
+ 998000, 999000, 600000, 601000, 602000, 603000, 604000, 605000, 606000, 607000,
+ 608000, 609000, 680000, 681000, 806000, 807000, 886000, 887000, 610000, 611000,
+ 612000, 613000, 614000, 615000, 616000, 617000, 618000, 619000, 690000, 691000,
+ 816000, 817000, 896000, 897000, 620000, 621000, 622000, 623000, 624000, 625000,
+ 626000, 627000, 628000, 629000, 682000, 683000, 826000, 827000, 868000, 869000,
+ 630000, 631000, 632000, 633000, 634000, 635000, 636000, 637000, 638000, 639000,
+ 692000, 693000, 836000, 837000, 878000, 879000, 640000, 641000, 642000, 643000,
+ 644000, 645000, 646000, 647000, 648000, 649000, 684000, 685000, 846000, 847000,
+ 688000, 689000, 650000, 651000, 652000, 653000, 654000, 655000, 656000, 657000,
+ 658000, 659000, 694000, 695000, 856000, 857000, 698000, 699000, 660000, 661000,
+ 662000, 663000, 664000, 665000, 666000, 667000, 668000, 669000, 686000, 687000,
+ 866000, 867000, 888000, 889000, 670000, 671000, 672000, 673000, 674000, 675000,
+ 676000, 677000, 678000, 679000, 696000, 697000, 876000, 877000, 898000, 899000,
+ 700000, 701000, 702000, 703000, 704000, 705000, 706000, 707000, 708000, 709000,
+ 780000, 781000, 906000, 907000, 986000, 987000, 710000, 711000, 712000, 713000,
+ 714000, 715000, 716000, 717000, 718000, 719000, 790000, 791000, 916000, 917000,
+ 996000, 997000, 720000, 721000, 722000, 723000, 724000, 725000, 726000, 727000,
+ 728000, 729000, 782000, 783000, 926000, 927000, 968000, 969000, 730000, 731000,
+ 732000, 733000, 734000, 735000, 736000, 737000, 738000, 739000, 792000, 793000,
+ 936000, 937000, 978000, 979000, 740000, 741000, 742000, 743000, 744000, 745000,
+ 746000, 747000, 748000, 749000, 784000, 785000, 946000, 947000, 788000, 789000,
+ 750000, 751000, 752000, 753000, 754000, 755000, 756000, 757000, 758000, 759000,
+ 794000, 795000, 956000, 957000, 798000, 799000, 760000, 761000, 762000, 763000,
+ 764000, 765000, 766000, 767000, 768000, 769000, 786000, 787000, 966000, 967000,
+ 988000, 989000, 770000, 771000, 772000, 773000, 774000, 775000, 776000, 777000,
+ 778000, 779000, 796000, 797000, 976000, 977000, 998000, 999000};
+#endif
+
+#if defined(DEC_DPD2BINM) && DEC_DPD2BINM==1 && !defined(DECDPD2BINM)
+#define DECDPD2BINM
+
+const uint32_t DPD2BINM[1024]={0, 1000000, 2000000, 3000000, 4000000,
+ 5000000, 6000000, 7000000, 8000000, 9000000, 80000000, 81000000,
+ 800000000, 801000000, 880000000, 881000000, 10000000, 11000000, 12000000,
+ 13000000, 14000000, 15000000, 16000000, 17000000, 18000000, 19000000,
+ 90000000, 91000000, 810000000, 811000000, 890000000, 891000000, 20000000,
+ 21000000, 22000000, 23000000, 24000000, 25000000, 26000000, 27000000,
+ 28000000, 29000000, 82000000, 83000000, 820000000, 821000000, 808000000,
+ 809000000, 30000000, 31000000, 32000000, 33000000, 34000000, 35000000,
+ 36000000, 37000000, 38000000, 39000000, 92000000, 93000000, 830000000,
+ 831000000, 818000000, 819000000, 40000000, 41000000, 42000000, 43000000,
+ 44000000, 45000000, 46000000, 47000000, 48000000, 49000000, 84000000,
+ 85000000, 840000000, 841000000, 88000000, 89000000, 50000000, 51000000,
+ 52000000, 53000000, 54000000, 55000000, 56000000, 57000000, 58000000,
+ 59000000, 94000000, 95000000, 850000000, 851000000, 98000000, 99000000,
+ 60000000, 61000000, 62000000, 63000000, 64000000, 65000000, 66000000,
+ 67000000, 68000000, 69000000, 86000000, 87000000, 860000000, 861000000,
+ 888000000, 889000000, 70000000, 71000000, 72000000, 73000000, 74000000,
+ 75000000, 76000000, 77000000, 78000000, 79000000, 96000000, 97000000,
+ 870000000, 871000000, 898000000, 899000000, 100000000, 101000000, 102000000,
+ 103000000, 104000000, 105000000, 106000000, 107000000, 108000000, 109000000,
+ 180000000, 181000000, 900000000, 901000000, 980000000, 981000000, 110000000,
+ 111000000, 112000000, 113000000, 114000000, 115000000, 116000000, 117000000,
+ 118000000, 119000000, 190000000, 191000000, 910000000, 911000000, 990000000,
+ 991000000, 120000000, 121000000, 122000000, 123000000, 124000000, 125000000,
+ 126000000, 127000000, 128000000, 129000000, 182000000, 183000000, 920000000,
+ 921000000, 908000000, 909000000, 130000000, 131000000, 132000000, 133000000,
+ 134000000, 135000000, 136000000, 137000000, 138000000, 139000000, 192000000,
+ 193000000, 930000000, 931000000, 918000000, 919000000, 140000000, 141000000,
+ 142000000, 143000000, 144000000, 145000000, 146000000, 147000000, 148000000,
+ 149000000, 184000000, 185000000, 940000000, 941000000, 188000000, 189000000,
+ 150000000, 151000000, 152000000, 153000000, 154000000, 155000000, 156000000,
+ 157000000, 158000000, 159000000, 194000000, 195000000, 950000000, 951000000,
+ 198000000, 199000000, 160000000, 161000000, 162000000, 163000000, 164000000,
+ 165000000, 166000000, 167000000, 168000000, 169000000, 186000000, 187000000,
+ 960000000, 961000000, 988000000, 989000000, 170000000, 171000000, 172000000,
+ 173000000, 174000000, 175000000, 176000000, 177000000, 178000000, 179000000,
+ 196000000, 197000000, 970000000, 971000000, 998000000, 999000000, 200000000,
+ 201000000, 202000000, 203000000, 204000000, 205000000, 206000000, 207000000,
+ 208000000, 209000000, 280000000, 281000000, 802000000, 803000000, 882000000,
+ 883000000, 210000000, 211000000, 212000000, 213000000, 214000000, 215000000,
+ 216000000, 217000000, 218000000, 219000000, 290000000, 291000000, 812000000,
+ 813000000, 892000000, 893000000, 220000000, 221000000, 222000000, 223000000,
+ 224000000, 225000000, 226000000, 227000000, 228000000, 229000000, 282000000,
+ 283000000, 822000000, 823000000, 828000000, 829000000, 230000000, 231000000,
+ 232000000, 233000000, 234000000, 235000000, 236000000, 237000000, 238000000,
+ 239000000, 292000000, 293000000, 832000000, 833000000, 838000000, 839000000,
+ 240000000, 241000000, 242000000, 243000000, 244000000, 245000000, 246000000,
+ 247000000, 248000000, 249000000, 284000000, 285000000, 842000000, 843000000,
+ 288000000, 289000000, 250000000, 251000000, 252000000, 253000000, 254000000,
+ 255000000, 256000000, 257000000, 258000000, 259000000, 294000000, 295000000,
+ 852000000, 853000000, 298000000, 299000000, 260000000, 261000000, 262000000,
+ 263000000, 264000000, 265000000, 266000000, 267000000, 268000000, 269000000,
+ 286000000, 287000000, 862000000, 863000000, 888000000, 889000000, 270000000,
+ 271000000, 272000000, 273000000, 274000000, 275000000, 276000000, 277000000,
+ 278000000, 279000000, 296000000, 297000000, 872000000, 873000000, 898000000,
+ 899000000, 300000000, 301000000, 302000000, 303000000, 304000000, 305000000,
+ 306000000, 307000000, 308000000, 309000000, 380000000, 381000000, 902000000,
+ 903000000, 982000000, 983000000, 310000000, 311000000, 312000000, 313000000,
+ 314000000, 315000000, 316000000, 317000000, 318000000, 319000000, 390000000,
+ 391000000, 912000000, 913000000, 992000000, 993000000, 320000000, 321000000,
+ 322000000, 323000000, 324000000, 325000000, 326000000, 327000000, 328000000,
+ 329000000, 382000000, 383000000, 922000000, 923000000, 928000000, 929000000,
+ 330000000, 331000000, 332000000, 333000000, 334000000, 335000000, 336000000,
+ 337000000, 338000000, 339000000, 392000000, 393000000, 932000000, 933000000,
+ 938000000, 939000000, 340000000, 341000000, 342000000, 343000000, 344000000,
+ 345000000, 346000000, 347000000, 348000000, 349000000, 384000000, 385000000,
+ 942000000, 943000000, 388000000, 389000000, 350000000, 351000000, 352000000,
+ 353000000, 354000000, 355000000, 356000000, 357000000, 358000000, 359000000,
+ 394000000, 395000000, 952000000, 953000000, 398000000, 399000000, 360000000,
+ 361000000, 362000000, 363000000, 364000000, 365000000, 366000000, 367000000,
+ 368000000, 369000000, 386000000, 387000000, 962000000, 963000000, 988000000,
+ 989000000, 370000000, 371000000, 372000000, 373000000, 374000000, 375000000,
+ 376000000, 377000000, 378000000, 379000000, 396000000, 397000000, 972000000,
+ 973000000, 998000000, 999000000, 400000000, 401000000, 402000000, 403000000,
+ 404000000, 405000000, 406000000, 407000000, 408000000, 409000000, 480000000,
+ 481000000, 804000000, 805000000, 884000000, 885000000, 410000000, 411000000,
+ 412000000, 413000000, 414000000, 415000000, 416000000, 417000000, 418000000,
+ 419000000, 490000000, 491000000, 814000000, 815000000, 894000000, 895000000,
+ 420000000, 421000000, 422000000, 423000000, 424000000, 425000000, 426000000,
+ 427000000, 428000000, 429000000, 482000000, 483000000, 824000000, 825000000,
+ 848000000, 849000000, 430000000, 431000000, 432000000, 433000000, 434000000,
+ 435000000, 436000000, 437000000, 438000000, 439000000, 492000000, 493000000,
+ 834000000, 835000000, 858000000, 859000000, 440000000, 441000000, 442000000,
+ 443000000, 444000000, 445000000, 446000000, 447000000, 448000000, 449000000,
+ 484000000, 485000000, 844000000, 845000000, 488000000, 489000000, 450000000,
+ 451000000, 452000000, 453000000, 454000000, 455000000, 456000000, 457000000,
+ 458000000, 459000000, 494000000, 495000000, 854000000, 855000000, 498000000,
+ 499000000, 460000000, 461000000, 462000000, 463000000, 464000000, 465000000,
+ 466000000, 467000000, 468000000, 469000000, 486000000, 487000000, 864000000,
+ 865000000, 888000000, 889000000, 470000000, 471000000, 472000000, 473000000,
+ 474000000, 475000000, 476000000, 477000000, 478000000, 479000000, 496000000,
+ 497000000, 874000000, 875000000, 898000000, 899000000, 500000000, 501000000,
+ 502000000, 503000000, 504000000, 505000000, 506000000, 507000000, 508000000,
+ 509000000, 580000000, 581000000, 904000000, 905000000, 984000000, 985000000,
+ 510000000, 511000000, 512000000, 513000000, 514000000, 515000000, 516000000,
+ 517000000, 518000000, 519000000, 590000000, 591000000, 914000000, 915000000,
+ 994000000, 995000000, 520000000, 521000000, 522000000, 523000000, 524000000,
+ 525000000, 526000000, 527000000, 528000000, 529000000, 582000000, 583000000,
+ 924000000, 925000000, 948000000, 949000000, 530000000, 531000000, 532000000,
+ 533000000, 534000000, 535000000, 536000000, 537000000, 538000000, 539000000,
+ 592000000, 593000000, 934000000, 935000000, 958000000, 959000000, 540000000,
+ 541000000, 542000000, 543000000, 544000000, 545000000, 546000000, 547000000,
+ 548000000, 549000000, 584000000, 585000000, 944000000, 945000000, 588000000,
+ 589000000, 550000000, 551000000, 552000000, 553000000, 554000000, 555000000,
+ 556000000, 557000000, 558000000, 559000000, 594000000, 595000000, 954000000,
+ 955000000, 598000000, 599000000, 560000000, 561000000, 562000000, 563000000,
+ 564000000, 565000000, 566000000, 567000000, 568000000, 569000000, 586000000,
+ 587000000, 964000000, 965000000, 988000000, 989000000, 570000000, 571000000,
+ 572000000, 573000000, 574000000, 575000000, 576000000, 577000000, 578000000,
+ 579000000, 596000000, 597000000, 974000000, 975000000, 998000000, 999000000,
+ 600000000, 601000000, 602000000, 603000000, 604000000, 605000000, 606000000,
+ 607000000, 608000000, 609000000, 680000000, 681000000, 806000000, 807000000,
+ 886000000, 887000000, 610000000, 611000000, 612000000, 613000000, 614000000,
+ 615000000, 616000000, 617000000, 618000000, 619000000, 690000000, 691000000,
+ 816000000, 817000000, 896000000, 897000000, 620000000, 621000000, 622000000,
+ 623000000, 624000000, 625000000, 626000000, 627000000, 628000000, 629000000,
+ 682000000, 683000000, 826000000, 827000000, 868000000, 869000000, 630000000,
+ 631000000, 632000000, 633000000, 634000000, 635000000, 636000000, 637000000,
+ 638000000, 639000000, 692000000, 693000000, 836000000, 837000000, 878000000,
+ 879000000, 640000000, 641000000, 642000000, 643000000, 644000000, 645000000,
+ 646000000, 647000000, 648000000, 649000000, 684000000, 685000000, 846000000,
+ 847000000, 688000000, 689000000, 650000000, 651000000, 652000000, 653000000,
+ 654000000, 655000000, 656000000, 657000000, 658000000, 659000000, 694000000,
+ 695000000, 856000000, 857000000, 698000000, 699000000, 660000000, 661000000,
+ 662000000, 663000000, 664000000, 665000000, 666000000, 667000000, 668000000,
+ 669000000, 686000000, 687000000, 866000000, 867000000, 888000000, 889000000,
+ 670000000, 671000000, 672000000, 673000000, 674000000, 675000000, 676000000,
+ 677000000, 678000000, 679000000, 696000000, 697000000, 876000000, 877000000,
+ 898000000, 899000000, 700000000, 701000000, 702000000, 703000000, 704000000,
+ 705000000, 706000000, 707000000, 708000000, 709000000, 780000000, 781000000,
+ 906000000, 907000000, 986000000, 987000000, 710000000, 711000000, 712000000,
+ 713000000, 714000000, 715000000, 716000000, 717000000, 718000000, 719000000,
+ 790000000, 791000000, 916000000, 917000000, 996000000, 997000000, 720000000,
+ 721000000, 722000000, 723000000, 724000000, 725000000, 726000000, 727000000,
+ 728000000, 729000000, 782000000, 783000000, 926000000, 927000000, 968000000,
+ 969000000, 730000000, 731000000, 732000000, 733000000, 734000000, 735000000,
+ 736000000, 737000000, 738000000, 739000000, 792000000, 793000000, 936000000,
+ 937000000, 978000000, 979000000, 740000000, 741000000, 742000000, 743000000,
+ 744000000, 745000000, 746000000, 747000000, 748000000, 749000000, 784000000,
+ 785000000, 946000000, 947000000, 788000000, 789000000, 750000000, 751000000,
+ 752000000, 753000000, 754000000, 755000000, 756000000, 757000000, 758000000,
+ 759000000, 794000000, 795000000, 956000000, 957000000, 798000000, 799000000,
+ 760000000, 761000000, 762000000, 763000000, 764000000, 765000000, 766000000,
+ 767000000, 768000000, 769000000, 786000000, 787000000, 966000000, 967000000,
+ 988000000, 989000000, 770000000, 771000000, 772000000, 773000000, 774000000,
+ 775000000, 776000000, 777000000, 778000000, 779000000, 796000000, 797000000,
+ 976000000, 977000000, 998000000, 999000000};
+#endif
+
+#if defined(DEC_BIN2CHAR) && DEC_BIN2CHAR==1 && !defined(DECBIN2CHAR)
+#define DECBIN2CHAR
+
+const uint8_t BIN2CHAR[4001]={
+ '\0','0','0','0', '\1','0','0','1', '\1','0','0','2', '\1','0','0','3', '\1','0','0','4',
+ '\1','0','0','5', '\1','0','0','6', '\1','0','0','7', '\1','0','0','8', '\1','0','0','9',
+ '\2','0','1','0', '\2','0','1','1', '\2','0','1','2', '\2','0','1','3', '\2','0','1','4',
+ '\2','0','1','5', '\2','0','1','6', '\2','0','1','7', '\2','0','1','8', '\2','0','1','9',
+ '\2','0','2','0', '\2','0','2','1', '\2','0','2','2', '\2','0','2','3', '\2','0','2','4',
+ '\2','0','2','5', '\2','0','2','6', '\2','0','2','7', '\2','0','2','8', '\2','0','2','9',
+ '\2','0','3','0', '\2','0','3','1', '\2','0','3','2', '\2','0','3','3', '\2','0','3','4',
+ '\2','0','3','5', '\2','0','3','6', '\2','0','3','7', '\2','0','3','8', '\2','0','3','9',
+ '\2','0','4','0', '\2','0','4','1', '\2','0','4','2', '\2','0','4','3', '\2','0','4','4',
+ '\2','0','4','5', '\2','0','4','6', '\2','0','4','7', '\2','0','4','8', '\2','0','4','9',
+ '\2','0','5','0', '\2','0','5','1', '\2','0','5','2', '\2','0','5','3', '\2','0','5','4',
+ '\2','0','5','5', '\2','0','5','6', '\2','0','5','7', '\2','0','5','8', '\2','0','5','9',
+ '\2','0','6','0', '\2','0','6','1', '\2','0','6','2', '\2','0','6','3', '\2','0','6','4',
+ '\2','0','6','5', '\2','0','6','6', '\2','0','6','7', '\2','0','6','8', '\2','0','6','9',
+ '\2','0','7','0', '\2','0','7','1', '\2','0','7','2', '\2','0','7','3', '\2','0','7','4',
+ '\2','0','7','5', '\2','0','7','6', '\2','0','7','7', '\2','0','7','8', '\2','0','7','9',
+ '\2','0','8','0', '\2','0','8','1', '\2','0','8','2', '\2','0','8','3', '\2','0','8','4',
+ '\2','0','8','5', '\2','0','8','6', '\2','0','8','7', '\2','0','8','8', '\2','0','8','9',
+ '\2','0','9','0', '\2','0','9','1', '\2','0','9','2', '\2','0','9','3', '\2','0','9','4',
+ '\2','0','9','5', '\2','0','9','6', '\2','0','9','7', '\2','0','9','8', '\2','0','9','9',
+ '\3','1','0','0', '\3','1','0','1', '\3','1','0','2', '\3','1','0','3', '\3','1','0','4',
+ '\3','1','0','5', '\3','1','0','6', '\3','1','0','7', '\3','1','0','8', '\3','1','0','9',
+ '\3','1','1','0', '\3','1','1','1', '\3','1','1','2', '\3','1','1','3', '\3','1','1','4',
+ '\3','1','1','5', '\3','1','1','6', '\3','1','1','7', '\3','1','1','8', '\3','1','1','9',
+ '\3','1','2','0', '\3','1','2','1', '\3','1','2','2', '\3','1','2','3', '\3','1','2','4',
+ '\3','1','2','5', '\3','1','2','6', '\3','1','2','7', '\3','1','2','8', '\3','1','2','9',
+ '\3','1','3','0', '\3','1','3','1', '\3','1','3','2', '\3','1','3','3', '\3','1','3','4',
+ '\3','1','3','5', '\3','1','3','6', '\3','1','3','7', '\3','1','3','8', '\3','1','3','9',
+ '\3','1','4','0', '\3','1','4','1', '\3','1','4','2', '\3','1','4','3', '\3','1','4','4',
+ '\3','1','4','5', '\3','1','4','6', '\3','1','4','7', '\3','1','4','8', '\3','1','4','9',
+ '\3','1','5','0', '\3','1','5','1', '\3','1','5','2', '\3','1','5','3', '\3','1','5','4',
+ '\3','1','5','5', '\3','1','5','6', '\3','1','5','7', '\3','1','5','8', '\3','1','5','9',
+ '\3','1','6','0', '\3','1','6','1', '\3','1','6','2', '\3','1','6','3', '\3','1','6','4',
+ '\3','1','6','5', '\3','1','6','6', '\3','1','6','7', '\3','1','6','8', '\3','1','6','9',
+ '\3','1','7','0', '\3','1','7','1', '\3','1','7','2', '\3','1','7','3', '\3','1','7','4',
+ '\3','1','7','5', '\3','1','7','6', '\3','1','7','7', '\3','1','7','8', '\3','1','7','9',
+ '\3','1','8','0', '\3','1','8','1', '\3','1','8','2', '\3','1','8','3', '\3','1','8','4',
+ '\3','1','8','5', '\3','1','8','6', '\3','1','8','7', '\3','1','8','8', '\3','1','8','9',
+ '\3','1','9','0', '\3','1','9','1', '\3','1','9','2', '\3','1','9','3', '\3','1','9','4',
+ '\3','1','9','5', '\3','1','9','6', '\3','1','9','7', '\3','1','9','8', '\3','1','9','9',
+ '\3','2','0','0', '\3','2','0','1', '\3','2','0','2', '\3','2','0','3', '\3','2','0','4',
+ '\3','2','0','5', '\3','2','0','6', '\3','2','0','7', '\3','2','0','8', '\3','2','0','9',
+ '\3','2','1','0', '\3','2','1','1', '\3','2','1','2', '\3','2','1','3', '\3','2','1','4',
+ '\3','2','1','5', '\3','2','1','6', '\3','2','1','7', '\3','2','1','8', '\3','2','1','9',
+ '\3','2','2','0', '\3','2','2','1', '\3','2','2','2', '\3','2','2','3', '\3','2','2','4',
+ '\3','2','2','5', '\3','2','2','6', '\3','2','2','7', '\3','2','2','8', '\3','2','2','9',
+ '\3','2','3','0', '\3','2','3','1', '\3','2','3','2', '\3','2','3','3', '\3','2','3','4',
+ '\3','2','3','5', '\3','2','3','6', '\3','2','3','7', '\3','2','3','8', '\3','2','3','9',
+ '\3','2','4','0', '\3','2','4','1', '\3','2','4','2', '\3','2','4','3', '\3','2','4','4',
+ '\3','2','4','5', '\3','2','4','6', '\3','2','4','7', '\3','2','4','8', '\3','2','4','9',
+ '\3','2','5','0', '\3','2','5','1', '\3','2','5','2', '\3','2','5','3', '\3','2','5','4',
+ '\3','2','5','5', '\3','2','5','6', '\3','2','5','7', '\3','2','5','8', '\3','2','5','9',
+ '\3','2','6','0', '\3','2','6','1', '\3','2','6','2', '\3','2','6','3', '\3','2','6','4',
+ '\3','2','6','5', '\3','2','6','6', '\3','2','6','7', '\3','2','6','8', '\3','2','6','9',
+ '\3','2','7','0', '\3','2','7','1', '\3','2','7','2', '\3','2','7','3', '\3','2','7','4',
+ '\3','2','7','5', '\3','2','7','6', '\3','2','7','7', '\3','2','7','8', '\3','2','7','9',
+ '\3','2','8','0', '\3','2','8','1', '\3','2','8','2', '\3','2','8','3', '\3','2','8','4',
+ '\3','2','8','5', '\3','2','8','6', '\3','2','8','7', '\3','2','8','8', '\3','2','8','9',
+ '\3','2','9','0', '\3','2','9','1', '\3','2','9','2', '\3','2','9','3', '\3','2','9','4',
+ '\3','2','9','5', '\3','2','9','6', '\3','2','9','7', '\3','2','9','8', '\3','2','9','9',
+ '\3','3','0','0', '\3','3','0','1', '\3','3','0','2', '\3','3','0','3', '\3','3','0','4',
+ '\3','3','0','5', '\3','3','0','6', '\3','3','0','7', '\3','3','0','8', '\3','3','0','9',
+ '\3','3','1','0', '\3','3','1','1', '\3','3','1','2', '\3','3','1','3', '\3','3','1','4',
+ '\3','3','1','5', '\3','3','1','6', '\3','3','1','7', '\3','3','1','8', '\3','3','1','9',
+ '\3','3','2','0', '\3','3','2','1', '\3','3','2','2', '\3','3','2','3', '\3','3','2','4',
+ '\3','3','2','5', '\3','3','2','6', '\3','3','2','7', '\3','3','2','8', '\3','3','2','9',
+ '\3','3','3','0', '\3','3','3','1', '\3','3','3','2', '\3','3','3','3', '\3','3','3','4',
+ '\3','3','3','5', '\3','3','3','6', '\3','3','3','7', '\3','3','3','8', '\3','3','3','9',
+ '\3','3','4','0', '\3','3','4','1', '\3','3','4','2', '\3','3','4','3', '\3','3','4','4',
+ '\3','3','4','5', '\3','3','4','6', '\3','3','4','7', '\3','3','4','8', '\3','3','4','9',
+ '\3','3','5','0', '\3','3','5','1', '\3','3','5','2', '\3','3','5','3', '\3','3','5','4',
+ '\3','3','5','5', '\3','3','5','6', '\3','3','5','7', '\3','3','5','8', '\3','3','5','9',
+ '\3','3','6','0', '\3','3','6','1', '\3','3','6','2', '\3','3','6','3', '\3','3','6','4',
+ '\3','3','6','5', '\3','3','6','6', '\3','3','6','7', '\3','3','6','8', '\3','3','6','9',
+ '\3','3','7','0', '\3','3','7','1', '\3','3','7','2', '\3','3','7','3', '\3','3','7','4',
+ '\3','3','7','5', '\3','3','7','6', '\3','3','7','7', '\3','3','7','8', '\3','3','7','9',
+ '\3','3','8','0', '\3','3','8','1', '\3','3','8','2', '\3','3','8','3', '\3','3','8','4',
+ '\3','3','8','5', '\3','3','8','6', '\3','3','8','7', '\3','3','8','8', '\3','3','8','9',
+ '\3','3','9','0', '\3','3','9','1', '\3','3','9','2', '\3','3','9','3', '\3','3','9','4',
+ '\3','3','9','5', '\3','3','9','6', '\3','3','9','7', '\3','3','9','8', '\3','3','9','9',
+ '\3','4','0','0', '\3','4','0','1', '\3','4','0','2', '\3','4','0','3', '\3','4','0','4',
+ '\3','4','0','5', '\3','4','0','6', '\3','4','0','7', '\3','4','0','8', '\3','4','0','9',
+ '\3','4','1','0', '\3','4','1','1', '\3','4','1','2', '\3','4','1','3', '\3','4','1','4',
+ '\3','4','1','5', '\3','4','1','6', '\3','4','1','7', '\3','4','1','8', '\3','4','1','9',
+ '\3','4','2','0', '\3','4','2','1', '\3','4','2','2', '\3','4','2','3', '\3','4','2','4',
+ '\3','4','2','5', '\3','4','2','6', '\3','4','2','7', '\3','4','2','8', '\3','4','2','9',
+ '\3','4','3','0', '\3','4','3','1', '\3','4','3','2', '\3','4','3','3', '\3','4','3','4',
+ '\3','4','3','5', '\3','4','3','6', '\3','4','3','7', '\3','4','3','8', '\3','4','3','9',
+ '\3','4','4','0', '\3','4','4','1', '\3','4','4','2', '\3','4','4','3', '\3','4','4','4',
+ '\3','4','4','5', '\3','4','4','6', '\3','4','4','7', '\3','4','4','8', '\3','4','4','9',
+ '\3','4','5','0', '\3','4','5','1', '\3','4','5','2', '\3','4','5','3', '\3','4','5','4',
+ '\3','4','5','5', '\3','4','5','6', '\3','4','5','7', '\3','4','5','8', '\3','4','5','9',
+ '\3','4','6','0', '\3','4','6','1', '\3','4','6','2', '\3','4','6','3', '\3','4','6','4',
+ '\3','4','6','5', '\3','4','6','6', '\3','4','6','7', '\3','4','6','8', '\3','4','6','9',
+ '\3','4','7','0', '\3','4','7','1', '\3','4','7','2', '\3','4','7','3', '\3','4','7','4',
+ '\3','4','7','5', '\3','4','7','6', '\3','4','7','7', '\3','4','7','8', '\3','4','7','9',
+ '\3','4','8','0', '\3','4','8','1', '\3','4','8','2', '\3','4','8','3', '\3','4','8','4',
+ '\3','4','8','5', '\3','4','8','6', '\3','4','8','7', '\3','4','8','8', '\3','4','8','9',
+ '\3','4','9','0', '\3','4','9','1', '\3','4','9','2', '\3','4','9','3', '\3','4','9','4',
+ '\3','4','9','5', '\3','4','9','6', '\3','4','9','7', '\3','4','9','8', '\3','4','9','9',
+ '\3','5','0','0', '\3','5','0','1', '\3','5','0','2', '\3','5','0','3', '\3','5','0','4',
+ '\3','5','0','5', '\3','5','0','6', '\3','5','0','7', '\3','5','0','8', '\3','5','0','9',
+ '\3','5','1','0', '\3','5','1','1', '\3','5','1','2', '\3','5','1','3', '\3','5','1','4',
+ '\3','5','1','5', '\3','5','1','6', '\3','5','1','7', '\3','5','1','8', '\3','5','1','9',
+ '\3','5','2','0', '\3','5','2','1', '\3','5','2','2', '\3','5','2','3', '\3','5','2','4',
+ '\3','5','2','5', '\3','5','2','6', '\3','5','2','7', '\3','5','2','8', '\3','5','2','9',
+ '\3','5','3','0', '\3','5','3','1', '\3','5','3','2', '\3','5','3','3', '\3','5','3','4',
+ '\3','5','3','5', '\3','5','3','6', '\3','5','3','7', '\3','5','3','8', '\3','5','3','9',
+ '\3','5','4','0', '\3','5','4','1', '\3','5','4','2', '\3','5','4','3', '\3','5','4','4',
+ '\3','5','4','5', '\3','5','4','6', '\3','5','4','7', '\3','5','4','8', '\3','5','4','9',
+ '\3','5','5','0', '\3','5','5','1', '\3','5','5','2', '\3','5','5','3', '\3','5','5','4',
+ '\3','5','5','5', '\3','5','5','6', '\3','5','5','7', '\3','5','5','8', '\3','5','5','9',
+ '\3','5','6','0', '\3','5','6','1', '\3','5','6','2', '\3','5','6','3', '\3','5','6','4',
+ '\3','5','6','5', '\3','5','6','6', '\3','5','6','7', '\3','5','6','8', '\3','5','6','9',
+ '\3','5','7','0', '\3','5','7','1', '\3','5','7','2', '\3','5','7','3', '\3','5','7','4',
+ '\3','5','7','5', '\3','5','7','6', '\3','5','7','7', '\3','5','7','8', '\3','5','7','9',
+ '\3','5','8','0', '\3','5','8','1', '\3','5','8','2', '\3','5','8','3', '\3','5','8','4',
+ '\3','5','8','5', '\3','5','8','6', '\3','5','8','7', '\3','5','8','8', '\3','5','8','9',
+ '\3','5','9','0', '\3','5','9','1', '\3','5','9','2', '\3','5','9','3', '\3','5','9','4',
+ '\3','5','9','5', '\3','5','9','6', '\3','5','9','7', '\3','5','9','8', '\3','5','9','9',
+ '\3','6','0','0', '\3','6','0','1', '\3','6','0','2', '\3','6','0','3', '\3','6','0','4',
+ '\3','6','0','5', '\3','6','0','6', '\3','6','0','7', '\3','6','0','8', '\3','6','0','9',
+ '\3','6','1','0', '\3','6','1','1', '\3','6','1','2', '\3','6','1','3', '\3','6','1','4',
+ '\3','6','1','5', '\3','6','1','6', '\3','6','1','7', '\3','6','1','8', '\3','6','1','9',
+ '\3','6','2','0', '\3','6','2','1', '\3','6','2','2', '\3','6','2','3', '\3','6','2','4',
+ '\3','6','2','5', '\3','6','2','6', '\3','6','2','7', '\3','6','2','8', '\3','6','2','9',
+ '\3','6','3','0', '\3','6','3','1', '\3','6','3','2', '\3','6','3','3', '\3','6','3','4',
+ '\3','6','3','5', '\3','6','3','6', '\3','6','3','7', '\3','6','3','8', '\3','6','3','9',
+ '\3','6','4','0', '\3','6','4','1', '\3','6','4','2', '\3','6','4','3', '\3','6','4','4',
+ '\3','6','4','5', '\3','6','4','6', '\3','6','4','7', '\3','6','4','8', '\3','6','4','9',
+ '\3','6','5','0', '\3','6','5','1', '\3','6','5','2', '\3','6','5','3', '\3','6','5','4',
+ '\3','6','5','5', '\3','6','5','6', '\3','6','5','7', '\3','6','5','8', '\3','6','5','9',
+ '\3','6','6','0', '\3','6','6','1', '\3','6','6','2', '\3','6','6','3', '\3','6','6','4',
+ '\3','6','6','5', '\3','6','6','6', '\3','6','6','7', '\3','6','6','8', '\3','6','6','9',
+ '\3','6','7','0', '\3','6','7','1', '\3','6','7','2', '\3','6','7','3', '\3','6','7','4',
+ '\3','6','7','5', '\3','6','7','6', '\3','6','7','7', '\3','6','7','8', '\3','6','7','9',
+ '\3','6','8','0', '\3','6','8','1', '\3','6','8','2', '\3','6','8','3', '\3','6','8','4',
+ '\3','6','8','5', '\3','6','8','6', '\3','6','8','7', '\3','6','8','8', '\3','6','8','9',
+ '\3','6','9','0', '\3','6','9','1', '\3','6','9','2', '\3','6','9','3', '\3','6','9','4',
+ '\3','6','9','5', '\3','6','9','6', '\3','6','9','7', '\3','6','9','8', '\3','6','9','9',
+ '\3','7','0','0', '\3','7','0','1', '\3','7','0','2', '\3','7','0','3', '\3','7','0','4',
+ '\3','7','0','5', '\3','7','0','6', '\3','7','0','7', '\3','7','0','8', '\3','7','0','9',
+ '\3','7','1','0', '\3','7','1','1', '\3','7','1','2', '\3','7','1','3', '\3','7','1','4',
+ '\3','7','1','5', '\3','7','1','6', '\3','7','1','7', '\3','7','1','8', '\3','7','1','9',
+ '\3','7','2','0', '\3','7','2','1', '\3','7','2','2', '\3','7','2','3', '\3','7','2','4',
+ '\3','7','2','5', '\3','7','2','6', '\3','7','2','7', '\3','7','2','8', '\3','7','2','9',
+ '\3','7','3','0', '\3','7','3','1', '\3','7','3','2', '\3','7','3','3', '\3','7','3','4',
+ '\3','7','3','5', '\3','7','3','6', '\3','7','3','7', '\3','7','3','8', '\3','7','3','9',
+ '\3','7','4','0', '\3','7','4','1', '\3','7','4','2', '\3','7','4','3', '\3','7','4','4',
+ '\3','7','4','5', '\3','7','4','6', '\3','7','4','7', '\3','7','4','8', '\3','7','4','9',
+ '\3','7','5','0', '\3','7','5','1', '\3','7','5','2', '\3','7','5','3', '\3','7','5','4',
+ '\3','7','5','5', '\3','7','5','6', '\3','7','5','7', '\3','7','5','8', '\3','7','5','9',
+ '\3','7','6','0', '\3','7','6','1', '\3','7','6','2', '\3','7','6','3', '\3','7','6','4',
+ '\3','7','6','5', '\3','7','6','6', '\3','7','6','7', '\3','7','6','8', '\3','7','6','9',
+ '\3','7','7','0', '\3','7','7','1', '\3','7','7','2', '\3','7','7','3', '\3','7','7','4',
+ '\3','7','7','5', '\3','7','7','6', '\3','7','7','7', '\3','7','7','8', '\3','7','7','9',
+ '\3','7','8','0', '\3','7','8','1', '\3','7','8','2', '\3','7','8','3', '\3','7','8','4',
+ '\3','7','8','5', '\3','7','8','6', '\3','7','8','7', '\3','7','8','8', '\3','7','8','9',
+ '\3','7','9','0', '\3','7','9','1', '\3','7','9','2', '\3','7','9','3', '\3','7','9','4',
+ '\3','7','9','5', '\3','7','9','6', '\3','7','9','7', '\3','7','9','8', '\3','7','9','9',
+ '\3','8','0','0', '\3','8','0','1', '\3','8','0','2', '\3','8','0','3', '\3','8','0','4',
+ '\3','8','0','5', '\3','8','0','6', '\3','8','0','7', '\3','8','0','8', '\3','8','0','9',
+ '\3','8','1','0', '\3','8','1','1', '\3','8','1','2', '\3','8','1','3', '\3','8','1','4',
+ '\3','8','1','5', '\3','8','1','6', '\3','8','1','7', '\3','8','1','8', '\3','8','1','9',
+ '\3','8','2','0', '\3','8','2','1', '\3','8','2','2', '\3','8','2','3', '\3','8','2','4',
+ '\3','8','2','5', '\3','8','2','6', '\3','8','2','7', '\3','8','2','8', '\3','8','2','9',
+ '\3','8','3','0', '\3','8','3','1', '\3','8','3','2', '\3','8','3','3', '\3','8','3','4',
+ '\3','8','3','5', '\3','8','3','6', '\3','8','3','7', '\3','8','3','8', '\3','8','3','9',
+ '\3','8','4','0', '\3','8','4','1', '\3','8','4','2', '\3','8','4','3', '\3','8','4','4',
+ '\3','8','4','5', '\3','8','4','6', '\3','8','4','7', '\3','8','4','8', '\3','8','4','9',
+ '\3','8','5','0', '\3','8','5','1', '\3','8','5','2', '\3','8','5','3', '\3','8','5','4',
+ '\3','8','5','5', '\3','8','5','6', '\3','8','5','7', '\3','8','5','8', '\3','8','5','9',
+ '\3','8','6','0', '\3','8','6','1', '\3','8','6','2', '\3','8','6','3', '\3','8','6','4',
+ '\3','8','6','5', '\3','8','6','6', '\3','8','6','7', '\3','8','6','8', '\3','8','6','9',
+ '\3','8','7','0', '\3','8','7','1', '\3','8','7','2', '\3','8','7','3', '\3','8','7','4',
+ '\3','8','7','5', '\3','8','7','6', '\3','8','7','7', '\3','8','7','8', '\3','8','7','9',
+ '\3','8','8','0', '\3','8','8','1', '\3','8','8','2', '\3','8','8','3', '\3','8','8','4',
+ '\3','8','8','5', '\3','8','8','6', '\3','8','8','7', '\3','8','8','8', '\3','8','8','9',
+ '\3','8','9','0', '\3','8','9','1', '\3','8','9','2', '\3','8','9','3', '\3','8','9','4',
+ '\3','8','9','5', '\3','8','9','6', '\3','8','9','7', '\3','8','9','8', '\3','8','9','9',
+ '\3','9','0','0', '\3','9','0','1', '\3','9','0','2', '\3','9','0','3', '\3','9','0','4',
+ '\3','9','0','5', '\3','9','0','6', '\3','9','0','7', '\3','9','0','8', '\3','9','0','9',
+ '\3','9','1','0', '\3','9','1','1', '\3','9','1','2', '\3','9','1','3', '\3','9','1','4',
+ '\3','9','1','5', '\3','9','1','6', '\3','9','1','7', '\3','9','1','8', '\3','9','1','9',
+ '\3','9','2','0', '\3','9','2','1', '\3','9','2','2', '\3','9','2','3', '\3','9','2','4',
+ '\3','9','2','5', '\3','9','2','6', '\3','9','2','7', '\3','9','2','8', '\3','9','2','9',
+ '\3','9','3','0', '\3','9','3','1', '\3','9','3','2', '\3','9','3','3', '\3','9','3','4',
+ '\3','9','3','5', '\3','9','3','6', '\3','9','3','7', '\3','9','3','8', '\3','9','3','9',
+ '\3','9','4','0', '\3','9','4','1', '\3','9','4','2', '\3','9','4','3', '\3','9','4','4',
+ '\3','9','4','5', '\3','9','4','6', '\3','9','4','7', '\3','9','4','8', '\3','9','4','9',
+ '\3','9','5','0', '\3','9','5','1', '\3','9','5','2', '\3','9','5','3', '\3','9','5','4',
+ '\3','9','5','5', '\3','9','5','6', '\3','9','5','7', '\3','9','5','8', '\3','9','5','9',
+ '\3','9','6','0', '\3','9','6','1', '\3','9','6','2', '\3','9','6','3', '\3','9','6','4',
+ '\3','9','6','5', '\3','9','6','6', '\3','9','6','7', '\3','9','6','8', '\3','9','6','9',
+ '\3','9','7','0', '\3','9','7','1', '\3','9','7','2', '\3','9','7','3', '\3','9','7','4',
+ '\3','9','7','5', '\3','9','7','6', '\3','9','7','7', '\3','9','7','8', '\3','9','7','9',
+ '\3','9','8','0', '\3','9','8','1', '\3','9','8','2', '\3','9','8','3', '\3','9','8','4',
+ '\3','9','8','5', '\3','9','8','6', '\3','9','8','7', '\3','9','8','8', '\3','9','8','9',
+ '\3','9','9','0', '\3','9','9','1', '\3','9','9','2', '\3','9','9','3', '\3','9','9','4',
+ '\3','9','9','5', '\3','9','9','6', '\3','9','9','7', '\3','9','9','8', '\3','9','9','9', '\0'};
+#endif
+
+#if defined(DEC_DPD2BCD8) && DEC_DPD2BCD8==1 && !defined(DECDPD2BCD8)
+#define DECDPD2BCD8
+
+const uint8_t DPD2BCD8[4096]={
+ 0,0,0,0, 0,0,1,1, 0,0,2,1, 0,0,3,1, 0,0,4,1, 0,0,5,1, 0,0,6,1, 0,0,7,1, 0,0,8,1,
+ 0,0,9,1, 0,8,0,2, 0,8,1,2, 8,0,0,3, 8,0,1,3, 8,8,0,3, 8,8,1,3, 0,1,0,2, 0,1,1,2,
+ 0,1,2,2, 0,1,3,2, 0,1,4,2, 0,1,5,2, 0,1,6,2, 0,1,7,2, 0,1,8,2, 0,1,9,2, 0,9,0,2,
+ 0,9,1,2, 8,1,0,3, 8,1,1,3, 8,9,0,3, 8,9,1,3, 0,2,0,2, 0,2,1,2, 0,2,2,2, 0,2,3,2,
+ 0,2,4,2, 0,2,5,2, 0,2,6,2, 0,2,7,2, 0,2,8,2, 0,2,9,2, 0,8,2,2, 0,8,3,2, 8,2,0,3,
+ 8,2,1,3, 8,0,8,3, 8,0,9,3, 0,3,0,2, 0,3,1,2, 0,3,2,2, 0,3,3,2, 0,3,4,2, 0,3,5,2,
+ 0,3,6,2, 0,3,7,2, 0,3,8,2, 0,3,9,2, 0,9,2,2, 0,9,3,2, 8,3,0,3, 8,3,1,3, 8,1,8,3,
+ 8,1,9,3, 0,4,0,2, 0,4,1,2, 0,4,2,2, 0,4,3,2, 0,4,4,2, 0,4,5,2, 0,4,6,2, 0,4,7,2,
+ 0,4,8,2, 0,4,9,2, 0,8,4,2, 0,8,5,2, 8,4,0,3, 8,4,1,3, 0,8,8,2, 0,8,9,2, 0,5,0,2,
+ 0,5,1,2, 0,5,2,2, 0,5,3,2, 0,5,4,2, 0,5,5,2, 0,5,6,2, 0,5,7,2, 0,5,8,2, 0,5,9,2,
+ 0,9,4,2, 0,9,5,2, 8,5,0,3, 8,5,1,3, 0,9,8,2, 0,9,9,2, 0,6,0,2, 0,6,1,2, 0,6,2,2,
+ 0,6,3,2, 0,6,4,2, 0,6,5,2, 0,6,6,2, 0,6,7,2, 0,6,8,2, 0,6,9,2, 0,8,6,2, 0,8,7,2,
+ 8,6,0,3, 8,6,1,3, 8,8,8,3, 8,8,9,3, 0,7,0,2, 0,7,1,2, 0,7,2,2, 0,7,3,2, 0,7,4,2,
+ 0,7,5,2, 0,7,6,2, 0,7,7,2, 0,7,8,2, 0,7,9,2, 0,9,6,2, 0,9,7,2, 8,7,0,3, 8,7,1,3,
+ 8,9,8,3, 8,9,9,3, 1,0,0,3, 1,0,1,3, 1,0,2,3, 1,0,3,3, 1,0,4,3, 1,0,5,3, 1,0,6,3,
+ 1,0,7,3, 1,0,8,3, 1,0,9,3, 1,8,0,3, 1,8,1,3, 9,0,0,3, 9,0,1,3, 9,8,0,3, 9,8,1,3,
+ 1,1,0,3, 1,1,1,3, 1,1,2,3, 1,1,3,3, 1,1,4,3, 1,1,5,3, 1,1,6,3, 1,1,7,3, 1,1,8,3,
+ 1,1,9,3, 1,9,0,3, 1,9,1,3, 9,1,0,3, 9,1,1,3, 9,9,0,3, 9,9,1,3, 1,2,0,3, 1,2,1,3,
+ 1,2,2,3, 1,2,3,3, 1,2,4,3, 1,2,5,3, 1,2,6,3, 1,2,7,3, 1,2,8,3, 1,2,9,3, 1,8,2,3,
+ 1,8,3,3, 9,2,0,3, 9,2,1,3, 9,0,8,3, 9,0,9,3, 1,3,0,3, 1,3,1,3, 1,3,2,3, 1,3,3,3,
+ 1,3,4,3, 1,3,5,3, 1,3,6,3, 1,3,7,3, 1,3,8,3, 1,3,9,3, 1,9,2,3, 1,9,3,3, 9,3,0,3,
+ 9,3,1,3, 9,1,8,3, 9,1,9,3, 1,4,0,3, 1,4,1,3, 1,4,2,3, 1,4,3,3, 1,4,4,3, 1,4,5,3,
+ 1,4,6,3, 1,4,7,3, 1,4,8,3, 1,4,9,3, 1,8,4,3, 1,8,5,3, 9,4,0,3, 9,4,1,3, 1,8,8,3,
+ 1,8,9,3, 1,5,0,3, 1,5,1,3, 1,5,2,3, 1,5,3,3, 1,5,4,3, 1,5,5,3, 1,5,6,3, 1,5,7,3,
+ 1,5,8,3, 1,5,9,3, 1,9,4,3, 1,9,5,3, 9,5,0,3, 9,5,1,3, 1,9,8,3, 1,9,9,3, 1,6,0,3,
+ 1,6,1,3, 1,6,2,3, 1,6,3,3, 1,6,4,3, 1,6,5,3, 1,6,6,3, 1,6,7,3, 1,6,8,3, 1,6,9,3,
+ 1,8,6,3, 1,8,7,3, 9,6,0,3, 9,6,1,3, 9,8,8,3, 9,8,9,3, 1,7,0,3, 1,7,1,3, 1,7,2,3,
+ 1,7,3,3, 1,7,4,3, 1,7,5,3, 1,7,6,3, 1,7,7,3, 1,7,8,3, 1,7,9,3, 1,9,6,3, 1,9,7,3,
+ 9,7,0,3, 9,7,1,3, 9,9,8,3, 9,9,9,3, 2,0,0,3, 2,0,1,3, 2,0,2,3, 2,0,3,3, 2,0,4,3,
+ 2,0,5,3, 2,0,6,3, 2,0,7,3, 2,0,8,3, 2,0,9,3, 2,8,0,3, 2,8,1,3, 8,0,2,3, 8,0,3,3,
+ 8,8,2,3, 8,8,3,3, 2,1,0,3, 2,1,1,3, 2,1,2,3, 2,1,3,3, 2,1,4,3, 2,1,5,3, 2,1,6,3,
+ 2,1,7,3, 2,1,8,3, 2,1,9,3, 2,9,0,3, 2,9,1,3, 8,1,2,3, 8,1,3,3, 8,9,2,3, 8,9,3,3,
+ 2,2,0,3, 2,2,1,3, 2,2,2,3, 2,2,3,3, 2,2,4,3, 2,2,5,3, 2,2,6,3, 2,2,7,3, 2,2,8,3,
+ 2,2,9,3, 2,8,2,3, 2,8,3,3, 8,2,2,3, 8,2,3,3, 8,2,8,3, 8,2,9,3, 2,3,0,3, 2,3,1,3,
+ 2,3,2,3, 2,3,3,3, 2,3,4,3, 2,3,5,3, 2,3,6,3, 2,3,7,3, 2,3,8,3, 2,3,9,3, 2,9,2,3,
+ 2,9,3,3, 8,3,2,3, 8,3,3,3, 8,3,8,3, 8,3,9,3, 2,4,0,3, 2,4,1,3, 2,4,2,3, 2,4,3,3,
+ 2,4,4,3, 2,4,5,3, 2,4,6,3, 2,4,7,3, 2,4,8,3, 2,4,9,3, 2,8,4,3, 2,8,5,3, 8,4,2,3,
+ 8,4,3,3, 2,8,8,3, 2,8,9,3, 2,5,0,3, 2,5,1,3, 2,5,2,3, 2,5,3,3, 2,5,4,3, 2,5,5,3,
+ 2,5,6,3, 2,5,7,3, 2,5,8,3, 2,5,9,3, 2,9,4,3, 2,9,5,3, 8,5,2,3, 8,5,3,3, 2,9,8,3,
+ 2,9,9,3, 2,6,0,3, 2,6,1,3, 2,6,2,3, 2,6,3,3, 2,6,4,3, 2,6,5,3, 2,6,6,3, 2,6,7,3,
+ 2,6,8,3, 2,6,9,3, 2,8,6,3, 2,8,7,3, 8,6,2,3, 8,6,3,3, 8,8,8,3, 8,8,9,3, 2,7,0,3,
+ 2,7,1,3, 2,7,2,3, 2,7,3,3, 2,7,4,3, 2,7,5,3, 2,7,6,3, 2,7,7,3, 2,7,8,3, 2,7,9,3,
+ 2,9,6,3, 2,9,7,3, 8,7,2,3, 8,7,3,3, 8,9,8,3, 8,9,9,3, 3,0,0,3, 3,0,1,3, 3,0,2,3,
+ 3,0,3,3, 3,0,4,3, 3,0,5,3, 3,0,6,3, 3,0,7,3, 3,0,8,3, 3,0,9,3, 3,8,0,3, 3,8,1,3,
+ 9,0,2,3, 9,0,3,3, 9,8,2,3, 9,8,3,3, 3,1,0,3, 3,1,1,3, 3,1,2,3, 3,1,3,3, 3,1,4,3,
+ 3,1,5,3, 3,1,6,3, 3,1,7,3, 3,1,8,3, 3,1,9,3, 3,9,0,3, 3,9,1,3, 9,1,2,3, 9,1,3,3,
+ 9,9,2,3, 9,9,3,3, 3,2,0,3, 3,2,1,3, 3,2,2,3, 3,2,3,3, 3,2,4,3, 3,2,5,3, 3,2,6,3,
+ 3,2,7,3, 3,2,8,3, 3,2,9,3, 3,8,2,3, 3,8,3,3, 9,2,2,3, 9,2,3,3, 9,2,8,3, 9,2,9,3,
+ 3,3,0,3, 3,3,1,3, 3,3,2,3, 3,3,3,3, 3,3,4,3, 3,3,5,3, 3,3,6,3, 3,3,7,3, 3,3,8,3,
+ 3,3,9,3, 3,9,2,3, 3,9,3,3, 9,3,2,3, 9,3,3,3, 9,3,8,3, 9,3,9,3, 3,4,0,3, 3,4,1,3,
+ 3,4,2,3, 3,4,3,3, 3,4,4,3, 3,4,5,3, 3,4,6,3, 3,4,7,3, 3,4,8,3, 3,4,9,3, 3,8,4,3,
+ 3,8,5,3, 9,4,2,3, 9,4,3,3, 3,8,8,3, 3,8,9,3, 3,5,0,3, 3,5,1,3, 3,5,2,3, 3,5,3,3,
+ 3,5,4,3, 3,5,5,3, 3,5,6,3, 3,5,7,3, 3,5,8,3, 3,5,9,3, 3,9,4,3, 3,9,5,3, 9,5,2,3,
+ 9,5,3,3, 3,9,8,3, 3,9,9,3, 3,6,0,3, 3,6,1,3, 3,6,2,3, 3,6,3,3, 3,6,4,3, 3,6,5,3,
+ 3,6,6,3, 3,6,7,3, 3,6,8,3, 3,6,9,3, 3,8,6,3, 3,8,7,3, 9,6,2,3, 9,6,3,3, 9,8,8,3,
+ 9,8,9,3, 3,7,0,3, 3,7,1,3, 3,7,2,3, 3,7,3,3, 3,7,4,3, 3,7,5,3, 3,7,6,3, 3,7,7,3,
+ 3,7,8,3, 3,7,9,3, 3,9,6,3, 3,9,7,3, 9,7,2,3, 9,7,3,3, 9,9,8,3, 9,9,9,3, 4,0,0,3,
+ 4,0,1,3, 4,0,2,3, 4,0,3,3, 4,0,4,3, 4,0,5,3, 4,0,6,3, 4,0,7,3, 4,0,8,3, 4,0,9,3,
+ 4,8,0,3, 4,8,1,3, 8,0,4,3, 8,0,5,3, 8,8,4,3, 8,8,5,3, 4,1,0,3, 4,1,1,3, 4,1,2,3,
+ 4,1,3,3, 4,1,4,3, 4,1,5,3, 4,1,6,3, 4,1,7,3, 4,1,8,3, 4,1,9,3, 4,9,0,3, 4,9,1,3,
+ 8,1,4,3, 8,1,5,3, 8,9,4,3, 8,9,5,3, 4,2,0,3, 4,2,1,3, 4,2,2,3, 4,2,3,3, 4,2,4,3,
+ 4,2,5,3, 4,2,6,3, 4,2,7,3, 4,2,8,3, 4,2,9,3, 4,8,2,3, 4,8,3,3, 8,2,4,3, 8,2,5,3,
+ 8,4,8,3, 8,4,9,3, 4,3,0,3, 4,3,1,3, 4,3,2,3, 4,3,3,3, 4,3,4,3, 4,3,5,3, 4,3,6,3,
+ 4,3,7,3, 4,3,8,3, 4,3,9,3, 4,9,2,3, 4,9,3,3, 8,3,4,3, 8,3,5,3, 8,5,8,3, 8,5,9,3,
+ 4,4,0,3, 4,4,1,3, 4,4,2,3, 4,4,3,3, 4,4,4,3, 4,4,5,3, 4,4,6,3, 4,4,7,3, 4,4,8,3,
+ 4,4,9,3, 4,8,4,3, 4,8,5,3, 8,4,4,3, 8,4,5,3, 4,8,8,3, 4,8,9,3, 4,5,0,3, 4,5,1,3,
+ 4,5,2,3, 4,5,3,3, 4,5,4,3, 4,5,5,3, 4,5,6,3, 4,5,7,3, 4,5,8,3, 4,5,9,3, 4,9,4,3,
+ 4,9,5,3, 8,5,4,3, 8,5,5,3, 4,9,8,3, 4,9,9,3, 4,6,0,3, 4,6,1,3, 4,6,2,3, 4,6,3,3,
+ 4,6,4,3, 4,6,5,3, 4,6,6,3, 4,6,7,3, 4,6,8,3, 4,6,9,3, 4,8,6,3, 4,8,7,3, 8,6,4,3,
+ 8,6,5,3, 8,8,8,3, 8,8,9,3, 4,7,0,3, 4,7,1,3, 4,7,2,3, 4,7,3,3, 4,7,4,3, 4,7,5,3,
+ 4,7,6,3, 4,7,7,3, 4,7,8,3, 4,7,9,3, 4,9,6,3, 4,9,7,3, 8,7,4,3, 8,7,5,3, 8,9,8,3,
+ 8,9,9,3, 5,0,0,3, 5,0,1,3, 5,0,2,3, 5,0,3,3, 5,0,4,3, 5,0,5,3, 5,0,6,3, 5,0,7,3,
+ 5,0,8,3, 5,0,9,3, 5,8,0,3, 5,8,1,3, 9,0,4,3, 9,0,5,3, 9,8,4,3, 9,8,5,3, 5,1,0,3,
+ 5,1,1,3, 5,1,2,3, 5,1,3,3, 5,1,4,3, 5,1,5,3, 5,1,6,3, 5,1,7,3, 5,1,8,3, 5,1,9,3,
+ 5,9,0,3, 5,9,1,3, 9,1,4,3, 9,1,5,3, 9,9,4,3, 9,9,5,3, 5,2,0,3, 5,2,1,3, 5,2,2,3,
+ 5,2,3,3, 5,2,4,3, 5,2,5,3, 5,2,6,3, 5,2,7,3, 5,2,8,3, 5,2,9,3, 5,8,2,3, 5,8,3,3,
+ 9,2,4,3, 9,2,5,3, 9,4,8,3, 9,4,9,3, 5,3,0,3, 5,3,1,3, 5,3,2,3, 5,3,3,3, 5,3,4,3,
+ 5,3,5,3, 5,3,6,3, 5,3,7,3, 5,3,8,3, 5,3,9,3, 5,9,2,3, 5,9,3,3, 9,3,4,3, 9,3,5,3,
+ 9,5,8,3, 9,5,9,3, 5,4,0,3, 5,4,1,3, 5,4,2,3, 5,4,3,3, 5,4,4,3, 5,4,5,3, 5,4,6,3,
+ 5,4,7,3, 5,4,8,3, 5,4,9,3, 5,8,4,3, 5,8,5,3, 9,4,4,3, 9,4,5,3, 5,8,8,3, 5,8,9,3,
+ 5,5,0,3, 5,5,1,3, 5,5,2,3, 5,5,3,3, 5,5,4,3, 5,5,5,3, 5,5,6,3, 5,5,7,3, 5,5,8,3,
+ 5,5,9,3, 5,9,4,3, 5,9,5,3, 9,5,4,3, 9,5,5,3, 5,9,8,3, 5,9,9,3, 5,6,0,3, 5,6,1,3,
+ 5,6,2,3, 5,6,3,3, 5,6,4,3, 5,6,5,3, 5,6,6,3, 5,6,7,3, 5,6,8,3, 5,6,9,3, 5,8,6,3,
+ 5,8,7,3, 9,6,4,3, 9,6,5,3, 9,8,8,3, 9,8,9,3, 5,7,0,3, 5,7,1,3, 5,7,2,3, 5,7,3,3,
+ 5,7,4,3, 5,7,5,3, 5,7,6,3, 5,7,7,3, 5,7,8,3, 5,7,9,3, 5,9,6,3, 5,9,7,3, 9,7,4,3,
+ 9,7,5,3, 9,9,8,3, 9,9,9,3, 6,0,0,3, 6,0,1,3, 6,0,2,3, 6,0,3,3, 6,0,4,3, 6,0,5,3,
+ 6,0,6,3, 6,0,7,3, 6,0,8,3, 6,0,9,3, 6,8,0,3, 6,8,1,3, 8,0,6,3, 8,0,7,3, 8,8,6,3,
+ 8,8,7,3, 6,1,0,3, 6,1,1,3, 6,1,2,3, 6,1,3,3, 6,1,4,3, 6,1,5,3, 6,1,6,3, 6,1,7,3,
+ 6,1,8,3, 6,1,9,3, 6,9,0,3, 6,9,1,3, 8,1,6,3, 8,1,7,3, 8,9,6,3, 8,9,7,3, 6,2,0,3,
+ 6,2,1,3, 6,2,2,3, 6,2,3,3, 6,2,4,3, 6,2,5,3, 6,2,6,3, 6,2,7,3, 6,2,8,3, 6,2,9,3,
+ 6,8,2,3, 6,8,3,3, 8,2,6,3, 8,2,7,3, 8,6,8,3, 8,6,9,3, 6,3,0,3, 6,3,1,3, 6,3,2,3,
+ 6,3,3,3, 6,3,4,3, 6,3,5,3, 6,3,6,3, 6,3,7,3, 6,3,8,3, 6,3,9,3, 6,9,2,3, 6,9,3,3,
+ 8,3,6,3, 8,3,7,3, 8,7,8,3, 8,7,9,3, 6,4,0,3, 6,4,1,3, 6,4,2,3, 6,4,3,3, 6,4,4,3,
+ 6,4,5,3, 6,4,6,3, 6,4,7,3, 6,4,8,3, 6,4,9,3, 6,8,4,3, 6,8,5,3, 8,4,6,3, 8,4,7,3,
+ 6,8,8,3, 6,8,9,3, 6,5,0,3, 6,5,1,3, 6,5,2,3, 6,5,3,3, 6,5,4,3, 6,5,5,3, 6,5,6,3,
+ 6,5,7,3, 6,5,8,3, 6,5,9,3, 6,9,4,3, 6,9,5,3, 8,5,6,3, 8,5,7,3, 6,9,8,3, 6,9,9,3,
+ 6,6,0,3, 6,6,1,3, 6,6,2,3, 6,6,3,3, 6,6,4,3, 6,6,5,3, 6,6,6,3, 6,6,7,3, 6,6,8,3,
+ 6,6,9,3, 6,8,6,3, 6,8,7,3, 8,6,6,3, 8,6,7,3, 8,8,8,3, 8,8,9,3, 6,7,0,3, 6,7,1,3,
+ 6,7,2,3, 6,7,3,3, 6,7,4,3, 6,7,5,3, 6,7,6,3, 6,7,7,3, 6,7,8,3, 6,7,9,3, 6,9,6,3,
+ 6,9,7,3, 8,7,6,3, 8,7,7,3, 8,9,8,3, 8,9,9,3, 7,0,0,3, 7,0,1,3, 7,0,2,3, 7,0,3,3,
+ 7,0,4,3, 7,0,5,3, 7,0,6,3, 7,0,7,3, 7,0,8,3, 7,0,9,3, 7,8,0,3, 7,8,1,3, 9,0,6,3,
+ 9,0,7,3, 9,8,6,3, 9,8,7,3, 7,1,0,3, 7,1,1,3, 7,1,2,3, 7,1,3,3, 7,1,4,3, 7,1,5,3,
+ 7,1,6,3, 7,1,7,3, 7,1,8,3, 7,1,9,3, 7,9,0,3, 7,9,1,3, 9,1,6,3, 9,1,7,3, 9,9,6,3,
+ 9,9,7,3, 7,2,0,3, 7,2,1,3, 7,2,2,3, 7,2,3,3, 7,2,4,3, 7,2,5,3, 7,2,6,3, 7,2,7,3,
+ 7,2,8,3, 7,2,9,3, 7,8,2,3, 7,8,3,3, 9,2,6,3, 9,2,7,3, 9,6,8,3, 9,6,9,3, 7,3,0,3,
+ 7,3,1,3, 7,3,2,3, 7,3,3,3, 7,3,4,3, 7,3,5,3, 7,3,6,3, 7,3,7,3, 7,3,8,3, 7,3,9,3,
+ 7,9,2,3, 7,9,3,3, 9,3,6,3, 9,3,7,3, 9,7,8,3, 9,7,9,3, 7,4,0,3, 7,4,1,3, 7,4,2,3,
+ 7,4,3,3, 7,4,4,3, 7,4,5,3, 7,4,6,3, 7,4,7,3, 7,4,8,3, 7,4,9,3, 7,8,4,3, 7,8,5,3,
+ 9,4,6,3, 9,4,7,3, 7,8,8,3, 7,8,9,3, 7,5,0,3, 7,5,1,3, 7,5,2,3, 7,5,3,3, 7,5,4,3,
+ 7,5,5,3, 7,5,6,3, 7,5,7,3, 7,5,8,3, 7,5,9,3, 7,9,4,3, 7,9,5,3, 9,5,6,3, 9,5,7,3,
+ 7,9,8,3, 7,9,9,3, 7,6,0,3, 7,6,1,3, 7,6,2,3, 7,6,3,3, 7,6,4,3, 7,6,5,3, 7,6,6,3,
+ 7,6,7,3, 7,6,8,3, 7,6,9,3, 7,8,6,3, 7,8,7,3, 9,6,6,3, 9,6,7,3, 9,8,8,3, 9,8,9,3,
+ 7,7,0,3, 7,7,1,3, 7,7,2,3, 7,7,3,3, 7,7,4,3, 7,7,5,3, 7,7,6,3, 7,7,7,3, 7,7,8,3,
+ 7,7,9,3, 7,9,6,3, 7,9,7,3, 9,7,6,3, 9,7,7,3, 9,9,8,3, 9,9,9,3};
+#endif
+
+#if defined(DEC_BIN2BCD8) && DEC_BIN2BCD8==1 && !defined(DECBIN2BCD8)
+#define DECBIN2BCD8
+
+const uint8_t BIN2BCD8[4000]={
+ 0,0,0,0, 0,0,1,1, 0,0,2,1, 0,0,3,1, 0,0,4,1, 0,0,5,1, 0,0,6,1, 0,0,7,1, 0,0,8,1,
+ 0,0,9,1, 0,1,0,2, 0,1,1,2, 0,1,2,2, 0,1,3,2, 0,1,4,2, 0,1,5,2, 0,1,6,2, 0,1,7,2,
+ 0,1,8,2, 0,1,9,2, 0,2,0,2, 0,2,1,2, 0,2,2,2, 0,2,3,2, 0,2,4,2, 0,2,5,2, 0,2,6,2,
+ 0,2,7,2, 0,2,8,2, 0,2,9,2, 0,3,0,2, 0,3,1,2, 0,3,2,2, 0,3,3,2, 0,3,4,2, 0,3,5,2,
+ 0,3,6,2, 0,3,7,2, 0,3,8,2, 0,3,9,2, 0,4,0,2, 0,4,1,2, 0,4,2,2, 0,4,3,2, 0,4,4,2,
+ 0,4,5,2, 0,4,6,2, 0,4,7,2, 0,4,8,2, 0,4,9,2, 0,5,0,2, 0,5,1,2, 0,5,2,2, 0,5,3,2,
+ 0,5,4,2, 0,5,5,2, 0,5,6,2, 0,5,7,2, 0,5,8,2, 0,5,9,2, 0,6,0,2, 0,6,1,2, 0,6,2,2,
+ 0,6,3,2, 0,6,4,2, 0,6,5,2, 0,6,6,2, 0,6,7,2, 0,6,8,2, 0,6,9,2, 0,7,0,2, 0,7,1,2,
+ 0,7,2,2, 0,7,3,2, 0,7,4,2, 0,7,5,2, 0,7,6,2, 0,7,7,2, 0,7,8,2, 0,7,9,2, 0,8,0,2,
+ 0,8,1,2, 0,8,2,2, 0,8,3,2, 0,8,4,2, 0,8,5,2, 0,8,6,2, 0,8,7,2, 0,8,8,2, 0,8,9,2,
+ 0,9,0,2, 0,9,1,2, 0,9,2,2, 0,9,3,2, 0,9,4,2, 0,9,5,2, 0,9,6,2, 0,9,7,2, 0,9,8,2,
+ 0,9,9,2, 1,0,0,3, 1,0,1,3, 1,0,2,3, 1,0,3,3, 1,0,4,3, 1,0,5,3, 1,0,6,3, 1,0,7,3,
+ 1,0,8,3, 1,0,9,3, 1,1,0,3, 1,1,1,3, 1,1,2,3, 1,1,3,3, 1,1,4,3, 1,1,5,3, 1,1,6,3,
+ 1,1,7,3, 1,1,8,3, 1,1,9,3, 1,2,0,3, 1,2,1,3, 1,2,2,3, 1,2,3,3, 1,2,4,3, 1,2,5,3,
+ 1,2,6,3, 1,2,7,3, 1,2,8,3, 1,2,9,3, 1,3,0,3, 1,3,1,3, 1,3,2,3, 1,3,3,3, 1,3,4,3,
+ 1,3,5,3, 1,3,6,3, 1,3,7,3, 1,3,8,3, 1,3,9,3, 1,4,0,3, 1,4,1,3, 1,4,2,3, 1,4,3,3,
+ 1,4,4,3, 1,4,5,3, 1,4,6,3, 1,4,7,3, 1,4,8,3, 1,4,9,3, 1,5,0,3, 1,5,1,3, 1,5,2,3,
+ 1,5,3,3, 1,5,4,3, 1,5,5,3, 1,5,6,3, 1,5,7,3, 1,5,8,3, 1,5,9,3, 1,6,0,3, 1,6,1,3,
+ 1,6,2,3, 1,6,3,3, 1,6,4,3, 1,6,5,3, 1,6,6,3, 1,6,7,3, 1,6,8,3, 1,6,9,3, 1,7,0,3,
+ 1,7,1,3, 1,7,2,3, 1,7,3,3, 1,7,4,3, 1,7,5,3, 1,7,6,3, 1,7,7,3, 1,7,8,3, 1,7,9,3,
+ 1,8,0,3, 1,8,1,3, 1,8,2,3, 1,8,3,3, 1,8,4,3, 1,8,5,3, 1,8,6,3, 1,8,7,3, 1,8,8,3,
+ 1,8,9,3, 1,9,0,3, 1,9,1,3, 1,9,2,3, 1,9,3,3, 1,9,4,3, 1,9,5,3, 1,9,6,3, 1,9,7,3,
+ 1,9,8,3, 1,9,9,3, 2,0,0,3, 2,0,1,3, 2,0,2,3, 2,0,3,3, 2,0,4,3, 2,0,5,3, 2,0,6,3,
+ 2,0,7,3, 2,0,8,3, 2,0,9,3, 2,1,0,3, 2,1,1,3, 2,1,2,3, 2,1,3,3, 2,1,4,3, 2,1,5,3,
+ 2,1,6,3, 2,1,7,3, 2,1,8,3, 2,1,9,3, 2,2,0,3, 2,2,1,3, 2,2,2,3, 2,2,3,3, 2,2,4,3,
+ 2,2,5,3, 2,2,6,3, 2,2,7,3, 2,2,8,3, 2,2,9,3, 2,3,0,3, 2,3,1,3, 2,3,2,3, 2,3,3,3,
+ 2,3,4,3, 2,3,5,3, 2,3,6,3, 2,3,7,3, 2,3,8,3, 2,3,9,3, 2,4,0,3, 2,4,1,3, 2,4,2,3,
+ 2,4,3,3, 2,4,4,3, 2,4,5,3, 2,4,6,3, 2,4,7,3, 2,4,8,3, 2,4,9,3, 2,5,0,3, 2,5,1,3,
+ 2,5,2,3, 2,5,3,3, 2,5,4,3, 2,5,5,3, 2,5,6,3, 2,5,7,3, 2,5,8,3, 2,5,9,3, 2,6,0,3,
+ 2,6,1,3, 2,6,2,3, 2,6,3,3, 2,6,4,3, 2,6,5,3, 2,6,6,3, 2,6,7,3, 2,6,8,3, 2,6,9,3,
+ 2,7,0,3, 2,7,1,3, 2,7,2,3, 2,7,3,3, 2,7,4,3, 2,7,5,3, 2,7,6,3, 2,7,7,3, 2,7,8,3,
+ 2,7,9,3, 2,8,0,3, 2,8,1,3, 2,8,2,3, 2,8,3,3, 2,8,4,3, 2,8,5,3, 2,8,6,3, 2,8,7,3,
+ 2,8,8,3, 2,8,9,3, 2,9,0,3, 2,9,1,3, 2,9,2,3, 2,9,3,3, 2,9,4,3, 2,9,5,3, 2,9,6,3,
+ 2,9,7,3, 2,9,8,3, 2,9,9,3, 3,0,0,3, 3,0,1,3, 3,0,2,3, 3,0,3,3, 3,0,4,3, 3,0,5,3,
+ 3,0,6,3, 3,0,7,3, 3,0,8,3, 3,0,9,3, 3,1,0,3, 3,1,1,3, 3,1,2,3, 3,1,3,3, 3,1,4,3,
+ 3,1,5,3, 3,1,6,3, 3,1,7,3, 3,1,8,3, 3,1,9,3, 3,2,0,3, 3,2,1,3, 3,2,2,3, 3,2,3,3,
+ 3,2,4,3, 3,2,5,3, 3,2,6,3, 3,2,7,3, 3,2,8,3, 3,2,9,3, 3,3,0,3, 3,3,1,3, 3,3,2,3,
+ 3,3,3,3, 3,3,4,3, 3,3,5,3, 3,3,6,3, 3,3,7,3, 3,3,8,3, 3,3,9,3, 3,4,0,3, 3,4,1,3,
+ 3,4,2,3, 3,4,3,3, 3,4,4,3, 3,4,5,3, 3,4,6,3, 3,4,7,3, 3,4,8,3, 3,4,9,3, 3,5,0,3,
+ 3,5,1,3, 3,5,2,3, 3,5,3,3, 3,5,4,3, 3,5,5,3, 3,5,6,3, 3,5,7,3, 3,5,8,3, 3,5,9,3,
+ 3,6,0,3, 3,6,1,3, 3,6,2,3, 3,6,3,3, 3,6,4,3, 3,6,5,3, 3,6,6,3, 3,6,7,3, 3,6,8,3,
+ 3,6,9,3, 3,7,0,3, 3,7,1,3, 3,7,2,3, 3,7,3,3, 3,7,4,3, 3,7,5,3, 3,7,6,3, 3,7,7,3,
+ 3,7,8,3, 3,7,9,3, 3,8,0,3, 3,8,1,3, 3,8,2,3, 3,8,3,3, 3,8,4,3, 3,8,5,3, 3,8,6,3,
+ 3,8,7,3, 3,8,8,3, 3,8,9,3, 3,9,0,3, 3,9,1,3, 3,9,2,3, 3,9,3,3, 3,9,4,3, 3,9,5,3,
+ 3,9,6,3, 3,9,7,3, 3,9,8,3, 3,9,9,3, 4,0,0,3, 4,0,1,3, 4,0,2,3, 4,0,3,3, 4,0,4,3,
+ 4,0,5,3, 4,0,6,3, 4,0,7,3, 4,0,8,3, 4,0,9,3, 4,1,0,3, 4,1,1,3, 4,1,2,3, 4,1,3,3,
+ 4,1,4,3, 4,1,5,3, 4,1,6,3, 4,1,7,3, 4,1,8,3, 4,1,9,3, 4,2,0,3, 4,2,1,3, 4,2,2,3,
+ 4,2,3,3, 4,2,4,3, 4,2,5,3, 4,2,6,3, 4,2,7,3, 4,2,8,3, 4,2,9,3, 4,3,0,3, 4,3,1,3,
+ 4,3,2,3, 4,3,3,3, 4,3,4,3, 4,3,5,3, 4,3,6,3, 4,3,7,3, 4,3,8,3, 4,3,9,3, 4,4,0,3,
+ 4,4,1,3, 4,4,2,3, 4,4,3,3, 4,4,4,3, 4,4,5,3, 4,4,6,3, 4,4,7,3, 4,4,8,3, 4,4,9,3,
+ 4,5,0,3, 4,5,1,3, 4,5,2,3, 4,5,3,3, 4,5,4,3, 4,5,5,3, 4,5,6,3, 4,5,7,3, 4,5,8,3,
+ 4,5,9,3, 4,6,0,3, 4,6,1,3, 4,6,2,3, 4,6,3,3, 4,6,4,3, 4,6,5,3, 4,6,6,3, 4,6,7,3,
+ 4,6,8,3, 4,6,9,3, 4,7,0,3, 4,7,1,3, 4,7,2,3, 4,7,3,3, 4,7,4,3, 4,7,5,3, 4,7,6,3,
+ 4,7,7,3, 4,7,8,3, 4,7,9,3, 4,8,0,3, 4,8,1,3, 4,8,2,3, 4,8,3,3, 4,8,4,3, 4,8,5,3,
+ 4,8,6,3, 4,8,7,3, 4,8,8,3, 4,8,9,3, 4,9,0,3, 4,9,1,3, 4,9,2,3, 4,9,3,3, 4,9,4,3,
+ 4,9,5,3, 4,9,6,3, 4,9,7,3, 4,9,8,3, 4,9,9,3, 5,0,0,3, 5,0,1,3, 5,0,2,3, 5,0,3,3,
+ 5,0,4,3, 5,0,5,3, 5,0,6,3, 5,0,7,3, 5,0,8,3, 5,0,9,3, 5,1,0,3, 5,1,1,3, 5,1,2,3,
+ 5,1,3,3, 5,1,4,3, 5,1,5,3, 5,1,6,3, 5,1,7,3, 5,1,8,3, 5,1,9,3, 5,2,0,3, 5,2,1,3,
+ 5,2,2,3, 5,2,3,3, 5,2,4,3, 5,2,5,3, 5,2,6,3, 5,2,7,3, 5,2,8,3, 5,2,9,3, 5,3,0,3,
+ 5,3,1,3, 5,3,2,3, 5,3,3,3, 5,3,4,3, 5,3,5,3, 5,3,6,3, 5,3,7,3, 5,3,8,3, 5,3,9,3,
+ 5,4,0,3, 5,4,1,3, 5,4,2,3, 5,4,3,3, 5,4,4,3, 5,4,5,3, 5,4,6,3, 5,4,7,3, 5,4,8,3,
+ 5,4,9,3, 5,5,0,3, 5,5,1,3, 5,5,2,3, 5,5,3,3, 5,5,4,3, 5,5,5,3, 5,5,6,3, 5,5,7,3,
+ 5,5,8,3, 5,5,9,3, 5,6,0,3, 5,6,1,3, 5,6,2,3, 5,6,3,3, 5,6,4,3, 5,6,5,3, 5,6,6,3,
+ 5,6,7,3, 5,6,8,3, 5,6,9,3, 5,7,0,3, 5,7,1,3, 5,7,2,3, 5,7,3,3, 5,7,4,3, 5,7,5,3,
+ 5,7,6,3, 5,7,7,3, 5,7,8,3, 5,7,9,3, 5,8,0,3, 5,8,1,3, 5,8,2,3, 5,8,3,3, 5,8,4,3,
+ 5,8,5,3, 5,8,6,3, 5,8,7,3, 5,8,8,3, 5,8,9,3, 5,9,0,3, 5,9,1,3, 5,9,2,3, 5,9,3,3,
+ 5,9,4,3, 5,9,5,3, 5,9,6,3, 5,9,7,3, 5,9,8,3, 5,9,9,3, 6,0,0,3, 6,0,1,3, 6,0,2,3,
+ 6,0,3,3, 6,0,4,3, 6,0,5,3, 6,0,6,3, 6,0,7,3, 6,0,8,3, 6,0,9,3, 6,1,0,3, 6,1,1,3,
+ 6,1,2,3, 6,1,3,3, 6,1,4,3, 6,1,5,3, 6,1,6,3, 6,1,7,3, 6,1,8,3, 6,1,9,3, 6,2,0,3,
+ 6,2,1,3, 6,2,2,3, 6,2,3,3, 6,2,4,3, 6,2,5,3, 6,2,6,3, 6,2,7,3, 6,2,8,3, 6,2,9,3,
+ 6,3,0,3, 6,3,1,3, 6,3,2,3, 6,3,3,3, 6,3,4,3, 6,3,5,3, 6,3,6,3, 6,3,7,3, 6,3,8,3,
+ 6,3,9,3, 6,4,0,3, 6,4,1,3, 6,4,2,3, 6,4,3,3, 6,4,4,3, 6,4,5,3, 6,4,6,3, 6,4,7,3,
+ 6,4,8,3, 6,4,9,3, 6,5,0,3, 6,5,1,3, 6,5,2,3, 6,5,3,3, 6,5,4,3, 6,5,5,3, 6,5,6,3,
+ 6,5,7,3, 6,5,8,3, 6,5,9,3, 6,6,0,3, 6,6,1,3, 6,6,2,3, 6,6,3,3, 6,6,4,3, 6,6,5,3,
+ 6,6,6,3, 6,6,7,3, 6,6,8,3, 6,6,9,3, 6,7,0,3, 6,7,1,3, 6,7,2,3, 6,7,3,3, 6,7,4,3,
+ 6,7,5,3, 6,7,6,3, 6,7,7,3, 6,7,8,3, 6,7,9,3, 6,8,0,3, 6,8,1,3, 6,8,2,3, 6,8,3,3,
+ 6,8,4,3, 6,8,5,3, 6,8,6,3, 6,8,7,3, 6,8,8,3, 6,8,9,3, 6,9,0,3, 6,9,1,3, 6,9,2,3,
+ 6,9,3,3, 6,9,4,3, 6,9,5,3, 6,9,6,3, 6,9,7,3, 6,9,8,3, 6,9,9,3, 7,0,0,3, 7,0,1,3,
+ 7,0,2,3, 7,0,3,3, 7,0,4,3, 7,0,5,3, 7,0,6,3, 7,0,7,3, 7,0,8,3, 7,0,9,3, 7,1,0,3,
+ 7,1,1,3, 7,1,2,3, 7,1,3,3, 7,1,4,3, 7,1,5,3, 7,1,6,3, 7,1,7,3, 7,1,8,3, 7,1,9,3,
+ 7,2,0,3, 7,2,1,3, 7,2,2,3, 7,2,3,3, 7,2,4,3, 7,2,5,3, 7,2,6,3, 7,2,7,3, 7,2,8,3,
+ 7,2,9,3, 7,3,0,3, 7,3,1,3, 7,3,2,3, 7,3,3,3, 7,3,4,3, 7,3,5,3, 7,3,6,3, 7,3,7,3,
+ 7,3,8,3, 7,3,9,3, 7,4,0,3, 7,4,1,3, 7,4,2,3, 7,4,3,3, 7,4,4,3, 7,4,5,3, 7,4,6,3,
+ 7,4,7,3, 7,4,8,3, 7,4,9,3, 7,5,0,3, 7,5,1,3, 7,5,2,3, 7,5,3,3, 7,5,4,3, 7,5,5,3,
+ 7,5,6,3, 7,5,7,3, 7,5,8,3, 7,5,9,3, 7,6,0,3, 7,6,1,3, 7,6,2,3, 7,6,3,3, 7,6,4,3,
+ 7,6,5,3, 7,6,6,3, 7,6,7,3, 7,6,8,3, 7,6,9,3, 7,7,0,3, 7,7,1,3, 7,7,2,3, 7,7,3,3,
+ 7,7,4,3, 7,7,5,3, 7,7,6,3, 7,7,7,3, 7,7,8,3, 7,7,9,3, 7,8,0,3, 7,8,1,3, 7,8,2,3,
+ 7,8,3,3, 7,8,4,3, 7,8,5,3, 7,8,6,3, 7,8,7,3, 7,8,8,3, 7,8,9,3, 7,9,0,3, 7,9,1,3,
+ 7,9,2,3, 7,9,3,3, 7,9,4,3, 7,9,5,3, 7,9,6,3, 7,9,7,3, 7,9,8,3, 7,9,9,3, 8,0,0,3,
+ 8,0,1,3, 8,0,2,3, 8,0,3,3, 8,0,4,3, 8,0,5,3, 8,0,6,3, 8,0,7,3, 8,0,8,3, 8,0,9,3,
+ 8,1,0,3, 8,1,1,3, 8,1,2,3, 8,1,3,3, 8,1,4,3, 8,1,5,3, 8,1,6,3, 8,1,7,3, 8,1,8,3,
+ 8,1,9,3, 8,2,0,3, 8,2,1,3, 8,2,2,3, 8,2,3,3, 8,2,4,3, 8,2,5,3, 8,2,6,3, 8,2,7,3,
+ 8,2,8,3, 8,2,9,3, 8,3,0,3, 8,3,1,3, 8,3,2,3, 8,3,3,3, 8,3,4,3, 8,3,5,3, 8,3,6,3,
+ 8,3,7,3, 8,3,8,3, 8,3,9,3, 8,4,0,3, 8,4,1,3, 8,4,2,3, 8,4,3,3, 8,4,4,3, 8,4,5,3,
+ 8,4,6,3, 8,4,7,3, 8,4,8,3, 8,4,9,3, 8,5,0,3, 8,5,1,3, 8,5,2,3, 8,5,3,3, 8,5,4,3,
+ 8,5,5,3, 8,5,6,3, 8,5,7,3, 8,5,8,3, 8,5,9,3, 8,6,0,3, 8,6,1,3, 8,6,2,3, 8,6,3,3,
+ 8,6,4,3, 8,6,5,3, 8,6,6,3, 8,6,7,3, 8,6,8,3, 8,6,9,3, 8,7,0,3, 8,7,1,3, 8,7,2,3,
+ 8,7,3,3, 8,7,4,3, 8,7,5,3, 8,7,6,3, 8,7,7,3, 8,7,8,3, 8,7,9,3, 8,8,0,3, 8,8,1,3,
+ 8,8,2,3, 8,8,3,3, 8,8,4,3, 8,8,5,3, 8,8,6,3, 8,8,7,3, 8,8,8,3, 8,8,9,3, 8,9,0,3,
+ 8,9,1,3, 8,9,2,3, 8,9,3,3, 8,9,4,3, 8,9,5,3, 8,9,6,3, 8,9,7,3, 8,9,8,3, 8,9,9,3,
+ 9,0,0,3, 9,0,1,3, 9,0,2,3, 9,0,3,3, 9,0,4,3, 9,0,5,3, 9,0,6,3, 9,0,7,3, 9,0,8,3,
+ 9,0,9,3, 9,1,0,3, 9,1,1,3, 9,1,2,3, 9,1,3,3, 9,1,4,3, 9,1,5,3, 9,1,6,3, 9,1,7,3,
+ 9,1,8,3, 9,1,9,3, 9,2,0,3, 9,2,1,3, 9,2,2,3, 9,2,3,3, 9,2,4,3, 9,2,5,3, 9,2,6,3,
+ 9,2,7,3, 9,2,8,3, 9,2,9,3, 9,3,0,3, 9,3,1,3, 9,3,2,3, 9,3,3,3, 9,3,4,3, 9,3,5,3,
+ 9,3,6,3, 9,3,7,3, 9,3,8,3, 9,3,9,3, 9,4,0,3, 9,4,1,3, 9,4,2,3, 9,4,3,3, 9,4,4,3,
+ 9,4,5,3, 9,4,6,3, 9,4,7,3, 9,4,8,3, 9,4,9,3, 9,5,0,3, 9,5,1,3, 9,5,2,3, 9,5,3,3,
+ 9,5,4,3, 9,5,5,3, 9,5,6,3, 9,5,7,3, 9,5,8,3, 9,5,9,3, 9,6,0,3, 9,6,1,3, 9,6,2,3,
+ 9,6,3,3, 9,6,4,3, 9,6,5,3, 9,6,6,3, 9,6,7,3, 9,6,8,3, 9,6,9,3, 9,7,0,3, 9,7,1,3,
+ 9,7,2,3, 9,7,3,3, 9,7,4,3, 9,7,5,3, 9,7,6,3, 9,7,7,3, 9,7,8,3, 9,7,9,3, 9,8,0,3,
+ 9,8,1,3, 9,8,2,3, 9,8,3,3, 9,8,4,3, 9,8,5,3, 9,8,6,3, 9,8,7,3, 9,8,8,3, 9,8,9,3,
+ 9,9,0,3, 9,9,1,3, 9,9,2,3, 9,9,3,3, 9,9,4,3, 9,9,5,3, 9,9,6,3, 9,9,7,3, 9,9,8,3,
+ 9,9,9,3};
+#endif
+
diff -Naur a/src/decNumber/decimal128.c b/src/decNumber/decimal128.c
--- a/src/decNumber/decimal128.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decimal128.c 2021-09-29 10:19:45.804827660 -0700
@@ -0,0 +1,553 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 128-bit format module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for decimal128 format numbers. */
+/* Conversions are supplied to and from decNumber and String. */
+/* */
+/* This is used when decNumber provides operations, either for all */
+/* operations or as a proxy between decNumber and decSingle. */
+/* */
+/* Error handling is the same as decNumber (qv.). */
+/* ------------------------------------------------------------------ */
+#include <string.h> // [for memset/memcpy]
+#include <stdio.h> // [for printf]
+
+#define DECNUMDIGITS 34 // make decNumbers with space for 34
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+#include "decimal128.h" // our primary include
+
+/* Utility routines and tables [in decimal64.c] */
+// DPD2BIN and the reverse are renamed to prevent link-time conflict
+// if decQuad is also built in the same executable
+#define DPD2BIN DPD2BINx
+#define BIN2DPD BIN2DPDx
+extern const uInt COMBEXP[32], COMBMSD[32];
+extern const uShort DPD2BIN[1024];
+extern const uShort BIN2DPD[1000]; // [not used]
+extern const uByte BIN2CHAR[4001];
+
+extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
+extern void decDigitsToDPD(const decNumber *, uInt *, Int);
+
+#if DECTRACE || DECCHECK
+void decimal128Show(const decimal128 *); // for debug
+extern void decNumberShow(const decNumber *); // ..
+#endif
+
+/* Useful macro */
+// Clear a structure (e.g., a decNumber)
+#define DEC_clear(d) memset(d, 0, sizeof(*d))
+
+/* ------------------------------------------------------------------ */
+/* decimal128FromNumber -- convert decNumber to decimal128 */
+/* */
+/* ds is the target decimal128 */
+/* dn is the source number (assumed valid) */
+/* set is the context, used only for reporting errors */
+/* */
+/* The set argument is used only for status reporting and for the */
+/* rounding mode (used if the coefficient is more than DECIMAL128_Pmax*/
+/* digits or an overflow is detected). If the exponent is out of the */
+/* valid range then Overflow or Underflow will be raised. */
+/* After Underflow a subnormal result is possible. */
+/* */
+/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
+/* by reducing its exponent and multiplying the coefficient by a */
+/* power of ten, or if the exponent on a zero had to be clamped. */
+/* ------------------------------------------------------------------ */
+decimal128 * decimal128FromNumber(decimal128 *d128, const decNumber *dn,
+ decContext *set) {
+ uInt status=0; // status accumulator
+ Int ae; // adjusted exponent
+ decNumber dw; // work
+ decContext dc; // ..
+ uInt comb, exp; // ..
+ uInt uiwork; // for macros
+ uInt targar[4]={0,0,0,0}; // target 128-bit
+ #define targhi targar[3] // name the word with the sign
+ #define targmh targar[2] // name the words
+ #define targml targar[1] // ..
+ #define targlo targar[0] // ..
+
+ // If the number has too many digits, or the exponent could be
+ // out of range then reduce the number under the appropriate
+ // constraints. This could push the number to Infinity or zero,
+ // so this check and rounding must be done before generating the
+ // decimal128]
+ ae=dn->exponent+dn->digits-1; // [0 if special]
+ if (dn->digits>DECIMAL128_Pmax // too many digits
+ || ae>DECIMAL128_Emax // likely overflow
+ || ae<DECIMAL128_Emin) { // likely underflow
+ decContextDefault(&dc, DEC_INIT_DECIMAL128); // [no traps]
+ dc.round=set->round; // use supplied rounding
+ decNumberPlus(&dw, dn, &dc); // (round and check)
+ // [this changes -0 to 0, so enforce the sign...]
+ dw.bits|=dn->bits&DECNEG;
+ status=dc.status; // save status
+ dn=&dw; // use the work number
+ } // maybe out of range
+
+ if (dn->bits&DECSPECIAL) { // a special value
+ if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
+ else { // sNaN or qNaN
+ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient
+ && (dn->digits<DECIMAL128_Pmax)) { // coefficient fits
+ decDigitsToDPD(dn, targar, 0);
+ }
+ if (dn->bits&DECNAN) targhi|=DECIMAL_NaN<<24;
+ else targhi|=DECIMAL_sNaN<<24;
+ } // a NaN
+ } // special
+
+ else { // is finite
+ if (decNumberIsZero(dn)) { // is a zero
+ // set and clamp exponent
+ if (dn->exponent<-DECIMAL128_Bias) {
+ exp=0; // low clamp
+ status|=DEC_Clamped;
+ }
+ else {
+ exp=dn->exponent+DECIMAL128_Bias; // bias exponent
+ if (exp>DECIMAL128_Ehigh) { // top clamp
+ exp=DECIMAL128_Ehigh;
+ status|=DEC_Clamped;
+ }
+ }
+ comb=(exp>>9) & 0x18; // msd=0, exp top 2 bits ..
+ }
+ else { // non-zero finite number
+ uInt msd; // work
+ Int pad=0; // coefficient pad digits
+
+ // the dn is known to fit, but it may need to be padded
+ exp=(uInt)(dn->exponent+DECIMAL128_Bias); // bias exponent
+ if (exp>DECIMAL128_Ehigh) { // fold-down case
+ pad=exp-DECIMAL128_Ehigh;
+ exp=DECIMAL128_Ehigh; // [to maximum]
+ status|=DEC_Clamped;
+ }
+
+ // [fastpath for common case is not a win, here]
+ decDigitsToDPD(dn, targar, pad);
+ // save and clear the top digit
+ msd=targhi>>14;
+ targhi&=0x00003fff;
+
+ // create the combination field
+ if (msd>=8) comb=0x18 | ((exp>>11) & 0x06) | (msd & 0x01);
+ else comb=((exp>>9) & 0x18) | msd;
+ }
+ targhi|=comb<<26; // add combination field ..
+ targhi|=(exp&0xfff)<<14; // .. and exponent continuation
+ } // finite
+
+ if (dn->bits&DECNEG) targhi|=0x80000000; // add sign bit
+
+ // now write to storage; this is endian
+ if (DECLITEND) {
+ // lo -> hi
+ UBFROMUI(d128->bytes, targlo);
+ UBFROMUI(d128->bytes+4, targml);
+ UBFROMUI(d128->bytes+8, targmh);
+ UBFROMUI(d128->bytes+12, targhi);
+ }
+ else {
+ // hi -> lo
+ UBFROMUI(d128->bytes, targhi);
+ UBFROMUI(d128->bytes+4, targmh);
+ UBFROMUI(d128->bytes+8, targml);
+ UBFROMUI(d128->bytes+12, targlo);
+ }
+
+ if (status!=0) decContextSetStatus(set, status); // pass on status
+ // decimal128Show(d128);
+ return d128;
+ } // decimal128FromNumber
+
+/* ------------------------------------------------------------------ */
+/* decimal128ToNumber -- convert decimal128 to decNumber */
+/* d128 is the source decimal128 */
+/* dn is the target number, with appropriate space */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decimal128ToNumber(const decimal128 *d128, decNumber *dn) {
+ uInt msd; // coefficient MSD
+ uInt exp; // exponent top two bits
+ uInt comb; // combination field
+ Int need; // work
+ uInt uiwork; // for macros
+ uInt sourar[4]; // source 128-bit
+ #define sourhi sourar[3] // name the word with the sign
+ #define sourmh sourar[2] // and the mid-high word
+ #define sourml sourar[1] // and the mod-low word
+ #define sourlo sourar[0] // and the lowest word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d128->bytes ); // directly load the low int
+ sourml=UBTOUI(d128->bytes+4 ); // then the mid-low
+ sourmh=UBTOUI(d128->bytes+8 ); // then the mid-high
+ sourhi=UBTOUI(d128->bytes+12); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d128->bytes ); // directly load the high int
+ sourmh=UBTOUI(d128->bytes+4 ); // then the mid-high
+ sourml=UBTOUI(d128->bytes+8 ); // then the mid-low
+ sourlo=UBTOUI(d128->bytes+12); // then the low int
+ }
+
+ comb=(sourhi>>26)&0x1f; // combination field
+
+ decNumberZero(dn); // clean number
+ if (sourhi&0x80000000) dn->bits=DECNEG; // set sign if negative
+
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) { // is a special
+ if (msd==0) {
+ dn->bits|=DECINF;
+ return dn; // no coefficient needed
+ }
+ else if (sourhi&0x02000000) dn->bits|=DECSNAN;
+ else dn->bits|=DECNAN;
+ msd=0; // no top digit
+ }
+ else { // is a finite number
+ dn->exponent=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; // unbiased
+ }
+
+ // get the coefficient
+ sourhi&=0x00003fff; // clean coefficient continuation
+ if (msd) { // non-zero msd
+ sourhi|=msd<<14; // prefix to coefficient
+ need=12; // process 12 declets
+ }
+ else { // msd=0
+ if (sourhi) need=11; // declets to process
+ else if (sourmh) need=10;
+ else if (sourml) need=7;
+ else if (sourlo) need=4;
+ else return dn; // easy: coefficient is 0
+ } //msd=0
+
+ decDigitsFromDPD(dn, sourar, need); // process declets
+ // decNumberShow(dn);
+ return dn;
+ } // decimal128ToNumber
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decimal128ToString(d128, string); */
+/* decimal128ToEngString(d128, string); */
+/* */
+/* d128 is the decimal128 format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least 24 characters */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decimal128ToEngString(const decimal128 *d128, char *string){
+ decNumber dn; // work
+ decimal128ToNumber(d128, &dn);
+ decNumberToEngString(&dn, string);
+ return string;
+ } // decimal128ToEngString
+
+char * decimal128ToString(const decimal128 *d128, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ const uByte *u; // work
+ char *s, *t; // .. (source, target)
+ Int dpd; // ..
+ Int pre, e; // ..
+ uInt uiwork; // for macros
+
+ uInt sourar[4]; // source 128-bit
+ #define sourhi sourar[3] // name the word with the sign
+ #define sourmh sourar[2] // and the mid-high word
+ #define sourml sourar[1] // and the mod-low word
+ #define sourlo sourar[0] // and the lowest word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d128->bytes ); // directly load the low int
+ sourml=UBTOUI(d128->bytes+4 ); // then the mid-low
+ sourmh=UBTOUI(d128->bytes+8 ); // then the mid-high
+ sourhi=UBTOUI(d128->bytes+12); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d128->bytes ); // directly load the high int
+ sourmh=UBTOUI(d128->bytes+4 ); // then the mid-high
+ sourml=UBTOUI(d128->bytes+8 ); // then the mid-low
+ sourlo=UBTOUI(d128->bytes+12); // then the low int
+ }
+
+ c=string; // where result will go
+ if (((Int)sourhi)<0) *c++='-'; // handle sign
+
+ comb=(sourhi>>26)&0x1f; // combination field
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) {
+ if (msd==0) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ if (sourlo==0 && sourml==0 && sourmh==0
+ && (sourhi&0x0003ffff)==0) return string; // zero payload
+ // otherwise drop through to add integer; set correct exp
+ exp=0; msd=0; // setup for following code
+ }
+ else exp=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; // unbiased
+
+ // convert 34 digits of significand to characters
+ cstart=c; // save start of coefficient
+ if (msd) *c++='0'+(char)msd; // non-zero most significant digit
+
+ // Now decode the declets. After extracting each one, it is
+ // decoded to binary and then to a 4-char sequence by table lookup;
+ // the 4-chars are a 1-char length (significant digits, except 000
+ // has length 0). This allows us to left-align the first declet
+ // with non-zero content, then remaining ones are full 3-char
+ // length. We use fixed-length memcpys because variable-length
+ // causes a subroutine call in GCC. (These are length 4 for speed
+ // and are safe because the array has an extra terminator byte.)
+ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
+ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
+ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
+ dpd=(sourhi>>4)&0x3ff; // declet 1
+ dpd2char;
+ dpd=((sourhi&0xf)<<6) | (sourmh>>26); // declet 2
+ dpd2char;
+ dpd=(sourmh>>16)&0x3ff; // declet 3
+ dpd2char;
+ dpd=(sourmh>>6)&0x3ff; // declet 4
+ dpd2char;
+ dpd=((sourmh&0x3f)<<4) | (sourml>>28); // declet 5
+ dpd2char;
+ dpd=(sourml>>18)&0x3ff; // declet 6
+ dpd2char;
+ dpd=(sourml>>8)&0x3ff; // declet 7
+ dpd2char;
+ dpd=((sourml&0xff)<<2) | (sourlo>>30); // declet 8
+ dpd2char;
+ dpd=(sourlo>>20)&0x3ff; // declet 9
+ dpd2char;
+ dpd=(sourlo>>10)&0x3ff; // declet 10
+ dpd2char;
+ dpd=(sourlo)&0x3ff; // declet 11
+ dpd2char;
+
+ if (c==cstart) *c++='0'; // all zeros -- make 0
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+
+ /* non-0 exponent */
+ e=0; // assume no E
+ pre=c-cstart+exp;
+ // [here, pre-exp is the digits count (==1 for zero)]
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ s=c-1; // source (LSD)
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat<c) { // if embedded dot needed...
+ t=c; // target
+ for (; s>=dotat; s--, t--) *t=*s; // open the gap; leave t at gap
+ *t='.'; // insert the dot
+ c++; // length increased by one
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 4 digits
+ if (e!=0) {
+ *c++='E'; // starts with E
+ *c++='+'; // assume positive
+ if (e<0) {
+ *(c-1)='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2CHAR[e*4]; // -> length byte
+ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe]
+ c+=*u; // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++='0'+(char)thou;
+ u=&BIN2CHAR[rem*4]; // -> length byte
+ memcpy(c, u+1, 4); // copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ t=c+1-pre;
+ *(t+1)='\0'; // can add terminator now
+ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right
+ c=cstart;
+ *c++='0'; // always starts with 0.
+ *c++='.';
+ for (; pre<0; pre++) *c++='0'; // add any 0's after '.'
+ //printf("res %s\n", string);
+ return string;
+ } // decimal128ToString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decimal128FromString(result, string, set); */
+/* */
+/* result is the decimal128 format number which gets the result of */
+/* the conversion */
+/* *string is the character string which should contain a valid */
+/* number (which may be a special value) */
+/* set is the context */
+/* */
+/* The context is supplied to this routine is used for error handling */
+/* (setting of status and traps) and for the rounding mode, only. */
+/* If an error occurs, the result will be a valid decimal128 NaN. */
+/* ------------------------------------------------------------------ */
+decimal128 * decimal128FromString(decimal128 *result, const char *string,
+ decContext *set) {
+ decContext dc; // work
+ decNumber dn; // ..
+
+ decContextDefault(&dc, DEC_INIT_DECIMAL128); // no traps, please
+ dc.round=set->round; // use supplied rounding
+
+ decNumberFromString(&dn, string, &dc); // will round if needed
+ decimal128FromNumber(result, &dn, &dc);
+ if (dc.status!=0) { // something happened
+ decContextSetStatus(set, dc.status); // .. pass it on
+ }
+ return result;
+ } // decimal128FromString
+
+/* ------------------------------------------------------------------ */
+/* decimal128IsCanonical -- test whether encoding is canonical */
+/* d128 is the source decimal128 */
+/* returns 1 if the encoding of d128 is canonical, 0 otherwise */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decimal128IsCanonical(const decimal128 *d128) {
+ decNumber dn; // work
+ decimal128 canon; // ..
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL128);
+ decimal128ToNumber(d128, &dn);
+ decimal128FromNumber(&canon, &dn, &dc);// canon will now be canonical
+ return memcmp(d128, &canon, DECIMAL128_Bytes)==0;
+ } // decimal128IsCanonical
+
+/* ------------------------------------------------------------------ */
+/* decimal128Canonical -- copy an encoding, ensuring it is canonical */
+/* d128 is the source decimal128 */
+/* result is the target (may be the same decimal128) */
+/* returns result */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decimal128 * decimal128Canonical(decimal128 *result, const decimal128 *d128) {
+ decNumber dn; // work
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL128);
+ decimal128ToNumber(d128, &dn);
+ decimal128FromNumber(result, &dn, &dc);// result will now be canonical
+ return result;
+ } // decimal128Canonical
+
+#if DECTRACE || DECCHECK
+/* Macros for accessing decimal128 fields. These assume the argument
+ is a reference (pointer) to the decimal128 structure, and the
+ decimal128 is in network byte order (big-endian) */
+// Get sign
+#define decimal128Sign(d) ((unsigned)(d)->bytes[0]>>7)
+
+// Get combination field
+#define decimal128Comb(d) (((d)->bytes[0] & 0x7c)>>2)
+
+// Get exponent continuation [does not remove bias]
+#define decimal128ExpCon(d) ((((d)->bytes[0] & 0x03)<<10) \
+ | ((unsigned)(d)->bytes[1]<<2) \
+ | ((unsigned)(d)->bytes[2]>>6))
+
+// Set sign [this assumes sign previously 0]
+#define decimal128SetSign(d, b) { \
+ (d)->bytes[0]|=((unsigned)(b)<<7);}
+
+// Set exponent continuation [does not apply bias]
+// This assumes range has been checked and exponent previously 0;
+// type of exponent must be unsigned
+#define decimal128SetExpCon(d, e) { \
+ (d)->bytes[0]|=(uByte)((e)>>10); \
+ (d)->bytes[1] =(uByte)(((e)&0x3fc)>>2); \
+ (d)->bytes[2]|=(uByte)(((e)&0x03)<<6);}
+
+/* ------------------------------------------------------------------ */
+/* decimal128Show -- display a decimal128 in hexadecimal [debug aid] */
+/* d128 -- the number to show */
+/* ------------------------------------------------------------------ */
+// Also shows sign/cob/expconfields extracted
+void decimal128Show(const decimal128 *d128) {
+ char buf[DECIMAL128_Bytes*2+1];
+ Int i, j=0;
+
+ if (DECLITEND) {
+ for (i=0; i<DECIMAL128_Bytes; i++, j+=2) {
+ sprintf(&buf[j], "%02x", d128->bytes[15-i]);
+ }
+ printf(" D128> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
+ d128->bytes[15]>>7, (d128->bytes[15]>>2)&0x1f,
+ ((d128->bytes[15]&0x3)<<10)|(d128->bytes[14]<<2)|
+ (d128->bytes[13]>>6));
+ }
+ else {
+ for (i=0; i<DECIMAL128_Bytes; i++, j+=2) {
+ sprintf(&buf[j], "%02x", d128->bytes[i]);
+ }
+ printf(" D128> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
+ decimal128Sign(d128), decimal128Comb(d128),
+ decimal128ExpCon(d128));
+ }
+ } // decimal128Show
+#endif
diff -Naur a/src/decNumber/decimal128.h b/src/decNumber/decimal128.h
--- a/src/decNumber/decimal128.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decimal128.h 2021-09-29 10:19:45.804827660 -0700
@@ -0,0 +1,81 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 128-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECIMAL128)
+ #define DECIMAL128
+ #define DEC128NAME "decimal128" /* Short name */
+ #define DEC128FULLNAME "Decimal 128-bit Number" /* Verbose name */
+ #define DEC128AUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decimal128s */
+ #define DECIMAL128_Bytes 16 /* length */
+ #define DECIMAL128_Pmax 34 /* maximum precision (digits) */
+ #define DECIMAL128_Emax 6144 /* maximum adjusted exponent */
+ #define DECIMAL128_Emin -6143 /* minimum adjusted exponent */
+ #define DECIMAL128_Bias 6176 /* bias for the exponent */
+ #define DECIMAL128_String 43 /* maximum string length, +1 */
+ #define DECIMAL128_EconL 12 /* exp. continuation length */
+ /* highest biased exponent (Elimit-1) */
+ #define DECIMAL128_Ehigh (DECIMAL128_Emax+DECIMAL128_Bias-DECIMAL128_Pmax+1)
+
+ /* check enough digits, if pre-defined */
+ #if defined(DECNUMDIGITS)
+ #if (DECNUMDIGITS<DECIMAL128_Pmax)
+ #error decimal128.h needs pre-defined DECNUMDIGITS>=34 for safe use
+ #endif
+ #endif
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECIMAL128_Pmax /* size if not already defined*/
+ #endif
+ #ifndef DECNUMBER
+ #include "decNumber.h" /* context and number library */
+ #endif
+
+ /* Decimal 128-bit type, accessible by bytes */
+ typedef struct {
+ uint8_t bytes[DECIMAL128_Bytes]; /* decimal128: 1, 5, 12, 110 bits*/
+ } decimal128;
+
+ /* special values [top byte excluding sign bit; last two bits are */
+ /* don't-care for Infinity on input, last bit don't-care for NaN] */
+ #if !defined(DECIMAL_NaN)
+ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
+ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
+ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines */
+ /* ---------------------------------------------------------------- */
+ /* String conversions */
+ decimal128 * decimal128FromString(decimal128 *, const char *, decContext *);
+ char * decimal128ToString(const decimal128 *, char *);
+ char * decimal128ToEngString(const decimal128 *, char *);
+
+ /* decNumber conversions */
+ decimal128 * decimal128FromNumber(decimal128 *, const decNumber *,
+ decContext *);
+ decNumber * decimal128ToNumber(const decimal128 *, decNumber *);
+
+ /* Format-dependent utilities */
+ uint32_t decimal128IsCanonical(const decimal128 *);
+ decimal128 * decimal128Canonical(decimal128 *, const decimal128 *);
+
+#endif
diff -Naur a/src/decNumber/decimal32.c b/src/decNumber/decimal32.c
--- a/src/decNumber/decimal32.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decimal32.c 2021-09-29 10:19:45.804827660 -0700
@@ -0,0 +1,476 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 32-bit format module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for decimal32 format numbers. */
+/* Conversions are supplied to and from decNumber and String. */
+/* */
+/* This is used when decNumber provides operations, either for all */
+/* operations or as a proxy between decNumber and decSingle. */
+/* */
+/* Error handling is the same as decNumber (qv.). */
+/* ------------------------------------------------------------------ */
+#include <string.h> // [for memset/memcpy]
+#include <stdio.h> // [for printf]
+
+#define DECNUMDIGITS 7 // make decNumbers with space for 7
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+#include "decimal32.h" // our primary include
+
+/* Utility tables and routines [in decimal64.c] */
+// DPD2BIN and the reverse are renamed to prevent link-time conflict
+// if decQuad is also built in the same executable
+#define DPD2BIN DPD2BINx
+#define BIN2DPD BIN2DPDx
+extern const uInt COMBEXP[32], COMBMSD[32];
+extern const uShort DPD2BIN[1024];
+extern const uShort BIN2DPD[1000];
+extern const uByte BIN2CHAR[4001];
+
+extern void decDigitsToDPD(const decNumber *, uInt *, Int);
+extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
+
+#if DECTRACE || DECCHECK
+void decimal32Show(const decimal32 *); // for debug
+extern void decNumberShow(const decNumber *); // ..
+#endif
+
+/* Useful macro */
+// Clear a structure (e.g., a decNumber)
+#define DEC_clear(d) memset(d, 0, sizeof(*d))
+
+/* ------------------------------------------------------------------ */
+/* decimal32FromNumber -- convert decNumber to decimal32 */
+/* */
+/* ds is the target decimal32 */
+/* dn is the source number (assumed valid) */
+/* set is the context, used only for reporting errors */
+/* */
+/* The set argument is used only for status reporting and for the */
+/* rounding mode (used if the coefficient is more than DECIMAL32_Pmax */
+/* digits or an overflow is detected). If the exponent is out of the */
+/* valid range then Overflow or Underflow will be raised. */
+/* After Underflow a subnormal result is possible. */
+/* */
+/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
+/* by reducing its exponent and multiplying the coefficient by a */
+/* power of ten, or if the exponent on a zero had to be clamped. */
+/* ------------------------------------------------------------------ */
+decimal32 * decimal32FromNumber(decimal32 *d32, const decNumber *dn,
+ decContext *set) {
+ uInt status=0; // status accumulator
+ Int ae; // adjusted exponent
+ decNumber dw; // work
+ decContext dc; // ..
+ uInt comb, exp; // ..
+ uInt uiwork; // for macros
+ uInt targ=0; // target 32-bit
+
+ // If the number has too many digits, or the exponent could be
+ // out of range then reduce the number under the appropriate
+ // constraints. This could push the number to Infinity or zero,
+ // so this check and rounding must be done before generating the
+ // decimal32]
+ ae=dn->exponent+dn->digits-1; // [0 if special]
+ if (dn->digits>DECIMAL32_Pmax // too many digits
+ || ae>DECIMAL32_Emax // likely overflow
+ || ae<DECIMAL32_Emin) { // likely underflow
+ decContextDefault(&dc, DEC_INIT_DECIMAL32); // [no traps]
+ dc.round=set->round; // use supplied rounding
+ decNumberPlus(&dw, dn, &dc); // (round and check)
+ // [this changes -0 to 0, so enforce the sign...]
+ dw.bits|=dn->bits&DECNEG;
+ status=dc.status; // save status
+ dn=&dw; // use the work number
+ } // maybe out of range
+
+ if (dn->bits&DECSPECIAL) { // a special value
+ if (dn->bits&DECINF) targ=DECIMAL_Inf<<24;
+ else { // sNaN or qNaN
+ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient
+ && (dn->digits<DECIMAL32_Pmax)) { // coefficient fits
+ decDigitsToDPD(dn, &targ, 0);
+ }
+ if (dn->bits&DECNAN) targ|=DECIMAL_NaN<<24;
+ else targ|=DECIMAL_sNaN<<24;
+ } // a NaN
+ } // special
+
+ else { // is finite
+ if (decNumberIsZero(dn)) { // is a zero
+ // set and clamp exponent
+ if (dn->exponent<-DECIMAL32_Bias) {
+ exp=0; // low clamp
+ status|=DEC_Clamped;
+ }
+ else {
+ exp=dn->exponent+DECIMAL32_Bias; // bias exponent
+ if (exp>DECIMAL32_Ehigh) { // top clamp
+ exp=DECIMAL32_Ehigh;
+ status|=DEC_Clamped;
+ }
+ }
+ comb=(exp>>3) & 0x18; // msd=0, exp top 2 bits ..
+ }
+ else { // non-zero finite number
+ uInt msd; // work
+ Int pad=0; // coefficient pad digits
+
+ // the dn is known to fit, but it may need to be padded
+ exp=(uInt)(dn->exponent+DECIMAL32_Bias); // bias exponent
+ if (exp>DECIMAL32_Ehigh) { // fold-down case
+ pad=exp-DECIMAL32_Ehigh;
+ exp=DECIMAL32_Ehigh; // [to maximum]
+ status|=DEC_Clamped;
+ }
+
+ // fastpath common case
+ if (DECDPUN==3 && pad==0) {
+ targ=BIN2DPD[dn->lsu[0]];
+ if (dn->digits>3) targ|=(uInt)(BIN2DPD[dn->lsu[1]])<<10;
+ msd=(dn->digits==7 ? dn->lsu[2] : 0);
+ }
+ else { // general case
+ decDigitsToDPD(dn, &targ, pad);
+ // save and clear the top digit
+ msd=targ>>20;
+ targ&=0x000fffff;
+ }
+
+ // create the combination field
+ if (msd>=8) comb=0x18 | ((exp>>5) & 0x06) | (msd & 0x01);
+ else comb=((exp>>3) & 0x18) | msd;
+ }
+ targ|=comb<<26; // add combination field ..
+ targ|=(exp&0x3f)<<20; // .. and exponent continuation
+ } // finite
+
+ if (dn->bits&DECNEG) targ|=0x80000000; // add sign bit
+
+ // now write to storage; this is endian
+ UBFROMUI(d32->bytes, targ); // directly store the int
+
+ if (status!=0) decContextSetStatus(set, status); // pass on status
+ // decimal32Show(d32);
+ return d32;
+ } // decimal32FromNumber
+
+/* ------------------------------------------------------------------ */
+/* decimal32ToNumber -- convert decimal32 to decNumber */
+/* d32 is the source decimal32 */
+/* dn is the target number, with appropriate space */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decimal32ToNumber(const decimal32 *d32, decNumber *dn) {
+ uInt msd; // coefficient MSD
+ uInt exp; // exponent top two bits
+ uInt comb; // combination field
+ uInt sour; // source 32-bit
+ uInt uiwork; // for macros
+
+ // load source from storage; this is endian
+ sour=UBTOUI(d32->bytes); // directly load the int
+
+ comb=(sour>>26)&0x1f; // combination field
+
+ decNumberZero(dn); // clean number
+ if (sour&0x80000000) dn->bits=DECNEG; // set sign if negative
+
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) { // is a special
+ if (msd==0) {
+ dn->bits|=DECINF;
+ return dn; // no coefficient needed
+ }
+ else if (sour&0x02000000) dn->bits|=DECSNAN;
+ else dn->bits|=DECNAN;
+ msd=0; // no top digit
+ }
+ else { // is a finite number
+ dn->exponent=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased
+ }
+
+ // get the coefficient
+ sour&=0x000fffff; // clean coefficient continuation
+ if (msd) { // non-zero msd
+ sour|=msd<<20; // prefix to coefficient
+ decDigitsFromDPD(dn, &sour, 3); // process 3 declets
+ return dn;
+ }
+ // msd=0
+ if (!sour) return dn; // easy: coefficient is 0
+ if (sour&0x000ffc00) // need 2 declets?
+ decDigitsFromDPD(dn, &sour, 2); // process 2 declets
+ else
+ decDigitsFromDPD(dn, &sour, 1); // process 1 declet
+ return dn;
+ } // decimal32ToNumber
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decimal32ToString(d32, string); */
+/* decimal32ToEngString(d32, string); */
+/* */
+/* d32 is the decimal32 format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least 24 characters */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decimal32ToEngString(const decimal32 *d32, char *string){
+ decNumber dn; // work
+ decimal32ToNumber(d32, &dn);
+ decNumberToEngString(&dn, string);
+ return string;
+ } // decimal32ToEngString
+
+char * decimal32ToString(const decimal32 *d32, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ const uByte *u; // work
+ char *s, *t; // .. (source, target)
+ Int dpd; // ..
+ Int pre, e; // ..
+ uInt uiwork; // for macros
+ uInt sour; // source 32-bit
+
+ // load source from storage; this is endian
+ sour=UBTOUI(d32->bytes); // directly load the int
+
+ c=string; // where result will go
+ if (((Int)sour)<0) *c++='-'; // handle sign
+
+ comb=(sour>>26)&0x1f; // combination field
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) {
+ if (msd==0) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sour&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ if ((sour&0x000fffff)==0) return string; // zero payload
+ // otherwise drop through to add integer; set correct exp
+ exp=0; msd=0; // setup for following code
+ }
+ else exp=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased
+
+ // convert 7 digits of significand to characters
+ cstart=c; // save start of coefficient
+ if (msd) *c++='0'+(char)msd; // non-zero most significant digit
+
+ // Now decode the declets. After extracting each one, it is
+ // decoded to binary and then to a 4-char sequence by table lookup;
+ // the 4-chars are a 1-char length (significant digits, except 000
+ // has length 0). This allows us to left-align the first declet
+ // with non-zero content, then remaining ones are full 3-char
+ // length. We use fixed-length memcpys because variable-length
+ // causes a subroutine call in GCC. (These are length 4 for speed
+ // and are safe because the array has an extra terminator byte.)
+ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
+ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
+ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
+
+ dpd=(sour>>10)&0x3ff; // declet 1
+ dpd2char;
+ dpd=(sour)&0x3ff; // declet 2
+ dpd2char;
+
+ if (c==cstart) *c++='0'; // all zeros -- make 0
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+
+ /* non-0 exponent */
+ e=0; // assume no E
+ pre=c-cstart+exp;
+ // [here, pre-exp is the digits count (==1 for zero)]
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ s=c-1; // source (LSD)
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat<c) { // if embedded dot needed...
+ t=c; // target
+ for (; s>=dotat; s--, t--) *t=*s; // open the gap; leave t at gap
+ *t='.'; // insert the dot
+ c++; // length increased by one
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 digits (E-101 case)
+ if (e!=0) {
+ *c++='E'; // starts with E
+ *c++='+'; // assume positive
+ if (e<0) {
+ *(c-1)='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ u=&BIN2CHAR[e*4]; // -> length byte
+ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe]
+ c+=*u; // bump pointer appropriately
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ t=c+1-pre;
+ *(t+1)='\0'; // can add terminator now
+ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right
+ c=cstart;
+ *c++='0'; // always starts with 0.
+ *c++='.';
+ for (; pre<0; pre++) *c++='0'; // add any 0's after '.'
+ //printf("res %s\n", string);
+ return string;
+ } // decimal32ToString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decimal32FromString(result, string, set); */
+/* */
+/* result is the decimal32 format number which gets the result of */
+/* the conversion */
+/* *string is the character string which should contain a valid */
+/* number (which may be a special value) */
+/* set is the context */
+/* */
+/* The context is supplied to this routine is used for error handling */
+/* (setting of status and traps) and for the rounding mode, only. */
+/* If an error occurs, the result will be a valid decimal32 NaN. */
+/* ------------------------------------------------------------------ */
+decimal32 * decimal32FromString(decimal32 *result, const char *string,
+ decContext *set) {
+ decContext dc; // work
+ decNumber dn; // ..
+
+ decContextDefault(&dc, DEC_INIT_DECIMAL32); // no traps, please
+ dc.round=set->round; // use supplied rounding
+
+ decNumberFromString(&dn, string, &dc); // will round if needed
+ decimal32FromNumber(result, &dn, &dc);
+ if (dc.status!=0) { // something happened
+ decContextSetStatus(set, dc.status); // .. pass it on
+ }
+ return result;
+ } // decimal32FromString
+
+/* ------------------------------------------------------------------ */
+/* decimal32IsCanonical -- test whether encoding is canonical */
+/* d32 is the source decimal32 */
+/* returns 1 if the encoding of d32 is canonical, 0 otherwise */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decimal32IsCanonical(const decimal32 *d32) {
+ decNumber dn; // work
+ decimal32 canon; // ..
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL32);
+ decimal32ToNumber(d32, &dn);
+ decimal32FromNumber(&canon, &dn, &dc);// canon will now be canonical
+ return memcmp(d32, &canon, DECIMAL32_Bytes)==0;
+ } // decimal32IsCanonical
+
+/* ------------------------------------------------------------------ */
+/* decimal32Canonical -- copy an encoding, ensuring it is canonical */
+/* d32 is the source decimal32 */
+/* result is the target (may be the same decimal32) */
+/* returns result */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decimal32 * decimal32Canonical(decimal32 *result, const decimal32 *d32) {
+ decNumber dn; // work
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL32);
+ decimal32ToNumber(d32, &dn);
+ decimal32FromNumber(result, &dn, &dc);// result will now be canonical
+ return result;
+ } // decimal32Canonical
+
+#if DECTRACE || DECCHECK
+/* Macros for accessing decimal32 fields. These assume the argument
+ is a reference (pointer) to the decimal32 structure, and the
+ decimal32 is in network byte order (big-endian) */
+// Get sign
+#define decimal32Sign(d) ((unsigned)(d)->bytes[0]>>7)
+
+// Get combination field
+#define decimal32Comb(d) (((d)->bytes[0] & 0x7c)>>2)
+
+// Get exponent continuation [does not remove bias]
+#define decimal32ExpCon(d) ((((d)->bytes[0] & 0x03)<<4) \
+ | ((unsigned)(d)->bytes[1]>>4))
+
+// Set sign [this assumes sign previously 0]
+#define decimal32SetSign(d, b) { \
+ (d)->bytes[0]|=((unsigned)(b)<<7);}
+
+// Set exponent continuation [does not apply bias]
+// This assumes range has been checked and exponent previously 0;
+// type of exponent must be unsigned
+#define decimal32SetExpCon(d, e) { \
+ (d)->bytes[0]|=(uByte)((e)>>4); \
+ (d)->bytes[1]|=(uByte)(((e)&0x0F)<<4);}
+
+/* ------------------------------------------------------------------ */
+/* decimal32Show -- display a decimal32 in hexadecimal [debug aid] */
+/* d32 -- the number to show */
+/* ------------------------------------------------------------------ */
+// Also shows sign/cob/expconfields extracted - valid bigendian only
+void decimal32Show(const decimal32 *d32) {
+ char buf[DECIMAL32_Bytes*2+1];
+ Int i, j=0;
+
+ if (DECLITEND) {
+ for (i=0; i<DECIMAL32_Bytes; i++, j+=2) {
+ sprintf(&buf[j], "%02x", d32->bytes[3-i]);
+ }
+ printf(" D32> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
+ d32->bytes[3]>>7, (d32->bytes[3]>>2)&0x1f,
+ ((d32->bytes[3]&0x3)<<4)| (d32->bytes[2]>>4));
+ }
+ else {
+ for (i=0; i<DECIMAL32_Bytes; i++, j+=2) {
+ sprintf(&buf[j], "%02x", d32->bytes[i]);
+ }
+ printf(" D32> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
+ decimal32Sign(d32), decimal32Comb(d32), decimal32ExpCon(d32));
+ }
+ } // decimal32Show
+#endif
diff -Naur a/src/decNumber/decimal32.h b/src/decNumber/decimal32.h
--- a/src/decNumber/decimal32.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decimal32.h 2021-09-29 10:19:45.805827665 -0700
@@ -0,0 +1,81 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 32-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2006. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECIMAL32)
+ #define DECIMAL32
+ #define DEC32NAME "decimal32" /* Short name */
+ #define DEC32FULLNAME "Decimal 32-bit Number" /* Verbose name */
+ #define DEC32AUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decimal32s */
+ #define DECIMAL32_Bytes 4 /* length */
+ #define DECIMAL32_Pmax 7 /* maximum precision (digits) */
+ #define DECIMAL32_Emax 96 /* maximum adjusted exponent */
+ #define DECIMAL32_Emin -95 /* minimum adjusted exponent */
+ #define DECIMAL32_Bias 101 /* bias for the exponent */
+ #define DECIMAL32_String 15 /* maximum string length, +1 */
+ #define DECIMAL32_EconL 6 /* exp. continuation length */
+ /* highest biased exponent (Elimit-1) */
+ #define DECIMAL32_Ehigh (DECIMAL32_Emax+DECIMAL32_Bias-DECIMAL32_Pmax+1)
+
+ /* check enough digits, if pre-defined */
+ #if defined(DECNUMDIGITS)
+ #if (DECNUMDIGITS<DECIMAL32_Pmax)
+ #error decimal32.h needs pre-defined DECNUMDIGITS>=7 for safe use
+ #endif
+ #endif
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECIMAL32_Pmax /* size if not already defined*/
+ #endif
+ #ifndef DECNUMBER
+ #include "decNumber.h" /* context and number library */
+ #endif
+
+ /* Decimal 32-bit type, accessible by bytes */
+ typedef struct {
+ uint8_t bytes[DECIMAL32_Bytes]; /* decimal32: 1, 5, 6, 20 bits*/
+ } decimal32;
+
+ /* special values [top byte excluding sign bit; last two bits are */
+ /* don't-care for Infinity on input, last bit don't-care for NaN] */
+ #if !defined(DECIMAL_NaN)
+ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
+ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
+ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines */
+ /* ---------------------------------------------------------------- */
+ /* String conversions */
+ decimal32 * decimal32FromString(decimal32 *, const char *, decContext *);
+ char * decimal32ToString(const decimal32 *, char *);
+ char * decimal32ToEngString(const decimal32 *, char *);
+
+ /* decNumber conversions */
+ decimal32 * decimal32FromNumber(decimal32 *, const decNumber *,
+ decContext *);
+ decNumber * decimal32ToNumber(const decimal32 *, decNumber *);
+
+ /* Format-dependent utilities */
+ uint32_t decimal32IsCanonical(const decimal32 *);
+ decimal32 * decimal32Canonical(decimal32 *, const decimal32 *);
+
+#endif
diff -Naur a/src/decNumber/decimal64.c b/src/decNumber/decimal64.c
--- a/src/decNumber/decimal64.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decimal64.c 2021-09-29 10:19:45.805827665 -0700
@@ -0,0 +1,839 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 64-bit format module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for decimal64 format numbers. */
+/* Conversions are supplied to and from decNumber and String. */
+/* */
+/* This is used when decNumber provides operations, either for all */
+/* operations or as a proxy between decNumber and decSingle. */
+/* */
+/* Error handling is the same as decNumber (qv.). */
+/* ------------------------------------------------------------------ */
+#include <string.h> // [for memset/memcpy]
+#include <stdio.h> // [for printf]
+
+#define DECNUMDIGITS 16 // make decNumbers with space for 16
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+#include "decimal64.h" // our primary include
+
+/* Utility routines and tables [in decimal64.c]; externs for C++ */
+// DPD2BIN and the reverse are renamed to prevent link-time conflict
+// if decQuad is also built in the same executable
+#define DPD2BIN DPD2BINx
+#define BIN2DPD BIN2DPDx
+extern const uInt COMBEXP[32], COMBMSD[32];
+extern const uShort DPD2BIN[1024];
+extern const uShort BIN2DPD[1000];
+extern const uByte BIN2CHAR[4001];
+
+extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
+extern void decDigitsToDPD(const decNumber *, uInt *, Int);
+
+#if DECTRACE || DECCHECK
+void decimal64Show(const decimal64 *); // for debug
+extern void decNumberShow(const decNumber *); // ..
+#endif
+
+/* Useful macro */
+// Clear a structure (e.g., a decNumber)
+#define DEC_clear(d) memset(d, 0, sizeof(*d))
+
+/* define and include the tables to use for conversions */
+#define DEC_BIN2CHAR 1
+#define DEC_DPD2BIN 1
+#define DEC_BIN2DPD 1 // used for all sizes
+#include "decDPD.h" // lookup tables
+
+/* ------------------------------------------------------------------ */
+/* decimal64FromNumber -- convert decNumber to decimal64 */
+/* */
+/* ds is the target decimal64 */
+/* dn is the source number (assumed valid) */
+/* set is the context, used only for reporting errors */
+/* */
+/* The set argument is used only for status reporting and for the */
+/* rounding mode (used if the coefficient is more than DECIMAL64_Pmax */
+/* digits or an overflow is detected). If the exponent is out of the */
+/* valid range then Overflow or Underflow will be raised. */
+/* After Underflow a subnormal result is possible. */
+/* */
+/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
+/* by reducing its exponent and multiplying the coefficient by a */
+/* power of ten, or if the exponent on a zero had to be clamped. */
+/* ------------------------------------------------------------------ */
+decimal64 * decimal64FromNumber(decimal64 *d64, const decNumber *dn,
+ decContext *set) {
+ uInt status=0; // status accumulator
+ Int ae; // adjusted exponent
+ decNumber dw; // work
+ decContext dc; // ..
+ uInt comb, exp; // ..
+ uInt uiwork; // for macros
+ uInt targar[2]={0, 0}; // target 64-bit
+ #define targhi targar[1] // name the word with the sign
+ #define targlo targar[0] // and the other
+
+ // If the number has too many digits, or the exponent could be
+ // out of range then reduce the number under the appropriate
+ // constraints. This could push the number to Infinity or zero,
+ // so this check and rounding must be done before generating the
+ // decimal64]
+ ae=dn->exponent+dn->digits-1; // [0 if special]
+ if (dn->digits>DECIMAL64_Pmax // too many digits
+ || ae>DECIMAL64_Emax // likely overflow
+ || ae<DECIMAL64_Emin) { // likely underflow
+ decContextDefault(&dc, DEC_INIT_DECIMAL64); // [no traps]
+ dc.round=set->round; // use supplied rounding
+ decNumberPlus(&dw, dn, &dc); // (round and check)
+ // [this changes -0 to 0, so enforce the sign...]
+ dw.bits|=dn->bits&DECNEG;
+ status=dc.status; // save status
+ dn=&dw; // use the work number
+ } // maybe out of range
+
+ if (dn->bits&DECSPECIAL) { // a special value
+ if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
+ else { // sNaN or qNaN
+ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient
+ && (dn->digits<DECIMAL64_Pmax)) { // coefficient fits
+ decDigitsToDPD(dn, targar, 0);
+ }
+ if (dn->bits&DECNAN) targhi|=DECIMAL_NaN<<24;
+ else targhi|=DECIMAL_sNaN<<24;
+ } // a NaN
+ } // special
+
+ else { // is finite
+ if (decNumberIsZero(dn)) { // is a zero
+ // set and clamp exponent
+ if (dn->exponent<-DECIMAL64_Bias) {
+ exp=0; // low clamp
+ status|=DEC_Clamped;
+ }
+ else {
+ exp=dn->exponent+DECIMAL64_Bias; // bias exponent
+ if (exp>DECIMAL64_Ehigh) { // top clamp
+ exp=DECIMAL64_Ehigh;
+ status|=DEC_Clamped;
+ }
+ }
+ comb=(exp>>5) & 0x18; // msd=0, exp top 2 bits ..
+ }
+ else { // non-zero finite number
+ uInt msd; // work
+ Int pad=0; // coefficient pad digits
+
+ // the dn is known to fit, but it may need to be padded
+ exp=(uInt)(dn->exponent+DECIMAL64_Bias); // bias exponent
+ if (exp>DECIMAL64_Ehigh) { // fold-down case
+ pad=exp-DECIMAL64_Ehigh;
+ exp=DECIMAL64_Ehigh; // [to maximum]
+ status|=DEC_Clamped;
+ }
+
+ // fastpath common case
+ if (DECDPUN==3 && pad==0) {
+ uInt dpd[6]={0,0,0,0,0,0};
+ uInt i;
+ Int d=dn->digits;
+ for (i=0; d>0; i++, d-=3) dpd[i]=BIN2DPD[dn->lsu[i]];
+ targlo =dpd[0];
+ targlo|=dpd[1]<<10;
+ targlo|=dpd[2]<<20;
+ if (dn->digits>6) {
+ targlo|=dpd[3]<<30;
+ targhi =dpd[3]>>2;
+ targhi|=dpd[4]<<8;
+ }
+ msd=dpd[5]; // [did not really need conversion]
+ }
+ else { // general case
+ decDigitsToDPD(dn, targar, pad);
+ // save and clear the top digit
+ msd=targhi>>18;
+ targhi&=0x0003ffff;
+ }
+
+ // create the combination field
+ if (msd>=8) comb=0x18 | ((exp>>7) & 0x06) | (msd & 0x01);
+ else comb=((exp>>5) & 0x18) | msd;
+ }
+ targhi|=comb<<26; // add combination field ..
+ targhi|=(exp&0xff)<<18; // .. and exponent continuation
+ } // finite
+
+ if (dn->bits&DECNEG) targhi|=0x80000000; // add sign bit
+
+ // now write to storage; this is now always endian
+ if (DECLITEND) {
+ // lo int then hi
+ UBFROMUI(d64->bytes, targar[0]);
+ UBFROMUI(d64->bytes+4, targar[1]);
+ }
+ else {
+ // hi int then lo
+ UBFROMUI(d64->bytes, targar[1]);
+ UBFROMUI(d64->bytes+4, targar[0]);
+ }
+
+ if (status!=0) decContextSetStatus(set, status); // pass on status
+ // decimal64Show(d64);
+ return d64;
+ } // decimal64FromNumber
+
+/* ------------------------------------------------------------------ */
+/* decimal64ToNumber -- convert decimal64 to decNumber */
+/* d64 is the source decimal64 */
+/* dn is the target number, with appropriate space */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decimal64ToNumber(const decimal64 *d64, decNumber *dn) {
+ uInt msd; // coefficient MSD
+ uInt exp; // exponent top two bits
+ uInt comb; // combination field
+ Int need; // work
+ uInt uiwork; // for macros
+ uInt sourar[2]; // source 64-bit
+ #define sourhi sourar[1] // name the word with the sign
+ #define sourlo sourar[0] // and the lower word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d64->bytes ); // directly load the low int
+ sourhi=UBTOUI(d64->bytes+4); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d64->bytes ); // directly load the high int
+ sourlo=UBTOUI(d64->bytes+4); // then the low int
+ }
+
+ comb=(sourhi>>26)&0x1f; // combination field
+
+ decNumberZero(dn); // clean number
+ if (sourhi&0x80000000) dn->bits=DECNEG; // set sign if negative
+
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) { // is a special
+ if (msd==0) {
+ dn->bits|=DECINF;
+ return dn; // no coefficient needed
+ }
+ else if (sourhi&0x02000000) dn->bits|=DECSNAN;
+ else dn->bits|=DECNAN;
+ msd=0; // no top digit
+ }
+ else { // is a finite number
+ dn->exponent=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias; // unbiased
+ }
+
+ // get the coefficient
+ sourhi&=0x0003ffff; // clean coefficient continuation
+ if (msd) { // non-zero msd
+ sourhi|=msd<<18; // prefix to coefficient
+ need=6; // process 6 declets
+ }
+ else { // msd=0
+ if (!sourhi) { // top word 0
+ if (!sourlo) return dn; // easy: coefficient is 0
+ need=3; // process at least 3 declets
+ if (sourlo&0xc0000000) need++; // process 4 declets
+ // [could reduce some more, here]
+ }
+ else { // some bits in top word, msd=0
+ need=4; // process at least 4 declets
+ if (sourhi&0x0003ff00) need++; // top declet!=0, process 5
+ }
+ } //msd=0
+
+ decDigitsFromDPD(dn, sourar, need); // process declets
+ return dn;
+ } // decimal64ToNumber
+
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decimal64ToString(d64, string); */
+/* decimal64ToEngString(d64, string); */
+/* */
+/* d64 is the decimal64 format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least 24 characters */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decimal64ToEngString(const decimal64 *d64, char *string){
+ decNumber dn; // work
+ decimal64ToNumber(d64, &dn);
+ decNumberToEngString(&dn, string);
+ return string;
+ } // decimal64ToEngString
+
+char * decimal64ToString(const decimal64 *d64, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ const uByte *u; // work
+ char *s, *t; // .. (source, target)
+ Int dpd; // ..
+ Int pre, e; // ..
+ uInt uiwork; // for macros
+
+ uInt sourar[2]; // source 64-bit
+ #define sourhi sourar[1] // name the word with the sign
+ #define sourlo sourar[0] // and the lower word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d64->bytes ); // directly load the low int
+ sourhi=UBTOUI(d64->bytes+4); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d64->bytes ); // directly load the high int
+ sourlo=UBTOUI(d64->bytes+4); // then the low int
+ }
+
+ c=string; // where result will go
+ if (((Int)sourhi)<0) *c++='-'; // handle sign
+
+ comb=(sourhi>>26)&0x1f; // combination field
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) {
+ if (msd==0) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string; // zero payload
+ // otherwise drop through to add integer; set correct exp
+ exp=0; msd=0; // setup for following code
+ }
+ else exp=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias;
+
+ // convert 16 digits of significand to characters
+ cstart=c; // save start of coefficient
+ if (msd) *c++='0'+(char)msd; // non-zero most significant digit
+
+ // Now decode the declets. After extracting each one, it is
+ // decoded to binary and then to a 4-char sequence by table lookup;
+ // the 4-chars are a 1-char length (significant digits, except 000
+ // has length 0). This allows us to left-align the first declet
+ // with non-zero content, then remaining ones are full 3-char
+ // length. We use fixed-length memcpys because variable-length
+ // causes a subroutine call in GCC. (These are length 4 for speed
+ // and are safe because the array has an extra terminator byte.)
+ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
+ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
+ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
+
+ dpd=(sourhi>>8)&0x3ff; // declet 1
+ dpd2char;
+ dpd=((sourhi&0xff)<<2) | (sourlo>>30); // declet 2
+ dpd2char;
+ dpd=(sourlo>>20)&0x3ff; // declet 3
+ dpd2char;
+ dpd=(sourlo>>10)&0x3ff; // declet 4
+ dpd2char;
+ dpd=(sourlo)&0x3ff; // declet 5
+ dpd2char;
+
+ if (c==cstart) *c++='0'; // all zeros -- make 0
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+
+ /* non-0 exponent */
+ e=0; // assume no E
+ pre=c-cstart+exp;
+ // [here, pre-exp is the digits count (==1 for zero)]
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ s=c-1; // source (LSD)
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat<c) { // if embedded dot needed...
+ t=c; // target
+ for (; s>=dotat; s--, t--) *t=*s; // open the gap; leave t at gap
+ *t='.'; // insert the dot
+ c++; // length increased by one
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 digits
+ if (e!=0) {
+ *c++='E'; // starts with E
+ *c++='+'; // assume positive
+ if (e<0) {
+ *(c-1)='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ u=&BIN2CHAR[e*4]; // -> length byte
+ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe]
+ c+=*u; // bump pointer appropriately
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ t=c+1-pre;
+ *(t+1)='\0'; // can add terminator now
+ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right
+ c=cstart;
+ *c++='0'; // always starts with 0.
+ *c++='.';
+ for (; pre<0; pre++) *c++='0'; // add any 0's after '.'
+ //printf("res %s\n", string);
+ return string;
+ } // decimal64ToString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decimal64FromString(result, string, set); */
+/* */
+/* result is the decimal64 format number which gets the result of */
+/* the conversion */
+/* *string is the character string which should contain a valid */
+/* number (which may be a special value) */
+/* set is the context */
+/* */
+/* The context is supplied to this routine is used for error handling */
+/* (setting of status and traps) and for the rounding mode, only. */
+/* If an error occurs, the result will be a valid decimal64 NaN. */
+/* ------------------------------------------------------------------ */
+decimal64 * decimal64FromString(decimal64 *result, const char *string,
+ decContext *set) {
+ decContext dc; // work
+ decNumber dn; // ..
+
+ decContextDefault(&dc, DEC_INIT_DECIMAL64); // no traps, please
+ dc.round=set->round; // use supplied rounding
+
+ decNumberFromString(&dn, string, &dc); // will round if needed
+
+ decimal64FromNumber(result, &dn, &dc);
+ if (dc.status!=0) { // something happened
+ decContextSetStatus(set, dc.status); // .. pass it on
+ }
+ return result;
+ } // decimal64FromString
+
+/* ------------------------------------------------------------------ */
+/* decimal64IsCanonical -- test whether encoding is canonical */
+/* d64 is the source decimal64 */
+/* returns 1 if the encoding of d64 is canonical, 0 otherwise */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decimal64IsCanonical(const decimal64 *d64) {
+ decNumber dn; // work
+ decimal64 canon; // ..
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL64);
+ decimal64ToNumber(d64, &dn);
+ decimal64FromNumber(&canon, &dn, &dc);// canon will now be canonical
+ return memcmp(d64, &canon, DECIMAL64_Bytes)==0;
+ } // decimal64IsCanonical
+
+/* ------------------------------------------------------------------ */
+/* decimal64Canonical -- copy an encoding, ensuring it is canonical */
+/* d64 is the source decimal64 */
+/* result is the target (may be the same decimal64) */
+/* returns result */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decimal64 * decimal64Canonical(decimal64 *result, const decimal64 *d64) {
+ decNumber dn; // work
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL64);
+ decimal64ToNumber(d64, &dn);
+ decimal64FromNumber(result, &dn, &dc);// result will now be canonical
+ return result;
+ } // decimal64Canonical
+
+#if DECTRACE || DECCHECK
+/* Macros for accessing decimal64 fields. These assume the
+ argument is a reference (pointer) to the decimal64 structure,
+ and the decimal64 is in network byte order (big-endian) */
+// Get sign
+#define decimal64Sign(d) ((unsigned)(d)->bytes[0]>>7)
+
+// Get combination field
+#define decimal64Comb(d) (((d)->bytes[0] & 0x7c)>>2)
+
+// Get exponent continuation [does not remove bias]
+#define decimal64ExpCon(d) ((((d)->bytes[0] & 0x03)<<6) \
+ | ((unsigned)(d)->bytes[1]>>2))
+
+// Set sign [this assumes sign previously 0]
+#define decimal64SetSign(d, b) { \
+ (d)->bytes[0]|=((unsigned)(b)<<7);}
+
+// Set exponent continuation [does not apply bias]
+// This assumes range has been checked and exponent previously 0;
+// type of exponent must be unsigned
+#define decimal64SetExpCon(d, e) { \
+ (d)->bytes[0]|=(uByte)((e)>>6); \
+ (d)->bytes[1]|=(uByte)(((e)&0x3F)<<2);}
+
+/* ------------------------------------------------------------------ */
+/* decimal64Show -- display a decimal64 in hexadecimal [debug aid] */
+/* d64 -- the number to show */
+/* ------------------------------------------------------------------ */
+// Also shows sign/cob/expconfields extracted
+void decimal64Show(const decimal64 *d64) {
+ char buf[DECIMAL64_Bytes*2+1];
+ Int i, j=0;
+
+ if (DECLITEND) {
+ for (i=0; i<DECIMAL64_Bytes; i++, j+=2) {
+ sprintf(&buf[j], "%02x", d64->bytes[7-i]);
+ }
+ printf(" D64> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
+ d64->bytes[7]>>7, (d64->bytes[7]>>2)&0x1f,
+ ((d64->bytes[7]&0x3)<<6)| (d64->bytes[6]>>2));
+ }
+ else { // big-endian
+ for (i=0; i<DECIMAL64_Bytes; i++, j+=2) {
+ sprintf(&buf[j], "%02x", d64->bytes[i]);
+ }
+ printf(" D64> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
+ decimal64Sign(d64), decimal64Comb(d64), decimal64ExpCon(d64));
+ }
+ } // decimal64Show
+#endif
+
+/* ================================================================== */
+/* Shared utility routines and tables */
+/* ================================================================== */
+// define and include the conversion tables to use for shared code
+#if DECDPUN==3
+ #define DEC_DPD2BIN 1
+#else
+ #define DEC_DPD2BCD 1
+#endif
+#include "decDPD.h" // lookup tables
+
+// The maximum number of decNumberUnits needed for a working copy of
+// the units array is the ceiling of digits/DECDPUN, where digits is
+// the maximum number of digits in any of the formats for which this
+// is used. decimal128.h must not be included in this module, so, as
+// a very special case, that number is defined as a literal here.
+#define DECMAX754 34
+#define DECMAXUNITS ((DECMAX754+DECDPUN-1)/DECDPUN)
+
+/* ------------------------------------------------------------------ */
+/* Combination field lookup tables (uInts to save measurable work) */
+/* */
+/* COMBEXP - 2-bit most-significant-bits of exponent */
+/* [11 if an Infinity or NaN] */
+/* COMBMSD - 4-bit most-significant-digit */
+/* [0=Infinity, 1=NaN if COMBEXP=11] */
+/* */
+/* Both are indexed by the 5-bit combination field (0-31) */
+/* ------------------------------------------------------------------ */
+const uInt COMBEXP[32]={0, 0, 0, 0, 0, 0, 0, 0,
+ 1, 1, 1, 1, 1, 1, 1, 1,
+ 2, 2, 2, 2, 2, 2, 2, 2,
+ 0, 0, 1, 1, 2, 2, 3, 3};
+const uInt COMBMSD[32]={0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 8, 9, 8, 9, 0, 1};
+
+/* ------------------------------------------------------------------ */
+/* decDigitsToDPD -- pack coefficient into DPD form */
+/* */
+/* dn is the source number (assumed valid, max DECMAX754 digits) */
+/* targ is 1, 2, or 4-element uInt array, which the caller must */
+/* have cleared to zeros */
+/* shift is the number of 0 digits to add on the right (normally 0) */
+/* */
+/* The coefficient must be known small enough to fit. The full */
+/* coefficient is copied, including the leading 'odd' digit. This */
+/* digit is retrieved and packed into the combination field by the */
+/* caller. */
+/* */
+/* The target uInts are altered only as necessary to receive the */
+/* digits of the decNumber. When more than one uInt is needed, they */
+/* are filled from left to right (that is, the uInt at offset 0 will */
+/* end up with the least-significant digits). */
+/* */
+/* shift is used for 'fold-down' padding. */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+#if DECDPUN<=4
+// Constant multipliers for divide-by-power-of five using reciprocal
+// multiply, after removing powers of 2 by shifting, and final shift
+// of 17 [we only need up to **4]
+static const uInt multies[]={131073, 26215, 5243, 1049, 210};
+// QUOT10 -- macro to return the quotient of unit u divided by 10**n
+#define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17)
+#endif
+void decDigitsToDPD(const decNumber *dn, uInt *targ, Int shift) {
+ Int cut; // work
+ Int n; // output bunch counter
+ Int digits=dn->digits; // digit countdown
+ uInt dpd; // densely packed decimal value
+ uInt bin; // binary value 0-999
+ uInt *uout=targ; // -> current output uInt
+ uInt uoff=0; // -> current output offset [from right]
+ const Unit *inu=dn->lsu; // -> current input unit
+ Unit uar[DECMAXUNITS]; // working copy of units, iff shifted
+ #if DECDPUN!=3 // not fast path
+ Unit in; // current unit
+ #endif
+
+ if (shift!=0) { // shift towards most significant required
+ // shift the units array to the left by pad digits and copy
+ // [this code is a special case of decShiftToMost, which could
+ // be used instead if exposed and the array were copied first]
+ const Unit *source; // ..
+ Unit *target, *first; // ..
+ uInt next=0; // work
+
+ source=dn->lsu+D2U(digits)-1; // where msu comes from
+ target=uar+D2U(digits)-1+D2U(shift);// where upper part of first cut goes
+ cut=DECDPUN-MSUDIGITS(shift); // where to slice
+ if (cut==0) { // unit-boundary case
+ for (; source>=dn->lsu; source--, target--) *target=*source;
+ }
+ else {
+ first=uar+D2U(digits+shift)-1; // where msu will end up
+ for (; source>=dn->lsu; source--, target--) {
+ // split the source Unit and accumulate remainder for next
+ #if DECDPUN<=4
+ uInt quot=QUOT10(*source, cut);
+ uInt rem=*source-quot*DECPOWERS[cut];
+ next+=quot;
+ #else
+ uInt rem=*source%DECPOWERS[cut];
+ next+=*source/DECPOWERS[cut];
+ #endif
+ if (target<=first) *target=(Unit)next; // write to target iff valid
+ next=rem*DECPOWERS[DECDPUN-cut]; // save remainder for next Unit
+ }
+ } // shift-move
+ // propagate remainder to one below and clear the rest
+ for (; target>=uar; target--) {
+ *target=(Unit)next;
+ next=0;
+ }
+ digits+=shift; // add count (shift) of zeros added
+ inu=uar; // use units in working array
+ }
+
+ /* now densely pack the coefficient into DPD declets */
+
+ #if DECDPUN!=3 // not fast path
+ in=*inu; // current unit
+ cut=0; // at lowest digit
+ bin=0; // [keep compiler quiet]
+ #endif
+
+ for(n=0; digits>0; n++) { // each output bunch
+ #if DECDPUN==3 // fast path, 3-at-a-time
+ bin=*inu; // 3 digits ready for convert
+ digits-=3; // [may go negative]
+ inu++; // may need another
+
+ #else // must collect digit-by-digit
+ Unit dig; // current digit
+ Int j; // digit-in-declet count
+ for (j=0; j<3; j++) {
+ #if DECDPUN<=4
+ Unit temp=(Unit)((uInt)(in*6554)>>16);
+ dig=(Unit)(in-X10(temp));
+ in=temp;
+ #else
+ dig=in%10;
+ in=in/10;
+ #endif
+ if (j==0) bin=dig;
+ else if (j==1) bin+=X10(dig);
+ else /* j==2 */ bin+=X100(dig);
+ digits--;
+ if (digits==0) break; // [also protects *inu below]
+ cut++;
+ if (cut==DECDPUN) {inu++; in=*inu; cut=0;}
+ }
+ #endif
+ // here there are 3 digits in bin, or have used all input digits
+
+ dpd=BIN2DPD[bin];
+
+ // write declet to uInt array
+ *uout|=dpd<<uoff;
+ uoff+=10;
+ if (uoff<32) continue; // no uInt boundary cross
+ uout++;
+ uoff-=32;
+ *uout|=dpd>>(10-uoff); // collect top bits
+ } // n declets
+ return;
+ } // decDigitsToDPD
+
+/* ------------------------------------------------------------------ */
+/* decDigitsFromDPD -- unpack a format's coefficient */
+/* */
+/* dn is the target number, with 7, 16, or 34-digit space. */
+/* sour is a 1, 2, or 4-element uInt array containing only declets */
+/* declets is the number of (right-aligned) declets in sour to */
+/* be processed. This may be 1 more than the obvious number in */
+/* a format, as any top digit is prefixed to the coefficient */
+/* continuation field. It also may be as small as 1, as the */
+/* caller may pre-process leading zero declets. */
+/* */
+/* When doing the 'extra declet' case care is taken to avoid writing */
+/* extra digits when there are leading zeros, as these could overflow */
+/* the units array when DECDPUN is not 3. */
+/* */
+/* The target uInts are used only as necessary to process declets */
+/* declets into the decNumber. When more than one uInt is needed, */
+/* they are used from left to right (that is, the uInt at offset 0 */
+/* provides the least-significant digits). */
+/* */
+/* dn->digits is set, but not the sign or exponent. */
+/* No error is possible [the redundant 888 codes are allowed]. */
+/* ------------------------------------------------------------------ */
+void decDigitsFromDPD(decNumber *dn, const uInt *sour, Int declets) {
+
+ uInt dpd; // collector for 10 bits
+ Int n; // counter
+ Unit *uout=dn->lsu; // -> current output unit
+ Unit *last=uout; // will be unit containing msd
+ const uInt *uin=sour; // -> current input uInt
+ uInt uoff=0; // -> current input offset [from right]
+
+ #if DECDPUN!=3
+ uInt bcd; // BCD result
+ uInt nibble; // work
+ Unit out=0; // accumulator
+ Int cut=0; // power of ten in current unit
+ #endif
+ #if DECDPUN>4
+ uInt const *pow; // work
+ #endif
+
+ // Expand the densely-packed integer, right to left
+ for (n=declets-1; n>=0; n--) { // count down declets of 10 bits
+ dpd=*uin>>uoff;
+ uoff+=10;
+ if (uoff>32) { // crossed uInt boundary
+ uin++;
+ uoff-=32; // [if using this code for wider, check this]
+ dpd|=*uin<<(10-uoff); // get waiting bits
+ }
+ dpd&=0x3ff; // clear uninteresting bits
+
+ #if DECDPUN==3
+ if (dpd==0) *uout=0;
+ else {
+ *uout=DPD2BIN[dpd]; // convert 10 bits to binary 0-999
+ last=uout; // record most significant unit
+ }
+ uout++;
+ } // n
+
+ #else // DECDPUN!=3
+ if (dpd==0) { // fastpath [e.g., leading zeros]
+ // write out three 0 digits (nibbles); out may have digit(s)
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ if (n==0) break; // [as below, works even if MSD=0]
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ continue;
+ }
+
+ bcd=DPD2BCD[dpd]; // convert 10 bits to 12 bits BCD
+
+ // now accumulate the 3 BCD nibbles into units
+ nibble=bcd & 0x00f;
+ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ bcd>>=4;
+
+ // if this is the last declet and the remaining nibbles in bcd
+ // are 00 then process no more nibbles, because this could be
+ // the 'odd' MSD declet and writing any more Units would then
+ // overflow the unit array
+ if (n==0 && !bcd) break;
+
+ nibble=bcd & 0x00f;
+ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ bcd>>=4;
+
+ nibble=bcd & 0x00f;
+ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ } // n
+ if (cut!=0) { // some more left over
+ *uout=out; // write out final unit
+ if (out) last=uout; // and note if non-zero
+ }
+ #endif
+
+ // here, last points to the most significant unit with digits;
+ // inspect it to get the final digits count -- this is essentially
+ // the same code as decGetDigits in decNumber.c
+ dn->digits=(last-dn->lsu)*DECDPUN+1; // floor of digits, plus
+ // must be at least 1 digit
+ #if DECDPUN>1
+ if (*last<10) return; // common odd digit or 0
+ dn->digits++; // must be 2 at least
+ #if DECDPUN>2
+ if (*last<100) return; // 10-99
+ dn->digits++; // must be 3 at least
+ #if DECDPUN>3
+ if (*last<1000) return; // 100-999
+ dn->digits++; // must be 4 at least
+ #if DECDPUN>4
+ for (pow=&DECPOWERS[4]; *last>=*pow; pow++) dn->digits++;
+ #endif
+ #endif
+ #endif
+ #endif
+ return;
+ } //decDigitsFromDPD
diff -Naur a/src/decNumber/decimal64.h b/src/decNumber/decimal64.h
--- a/src/decNumber/decimal64.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decimal64.h 2021-09-29 10:19:45.805827665 -0700
@@ -0,0 +1,83 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 64-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECIMAL64)
+ #define DECIMAL64
+ #define DEC64NAME "decimal64" /* Short name */
+ #define DEC64FULLNAME "Decimal 64-bit Number" /* Verbose name */
+ #define DEC64AUTHOR "Mike Cowlishaw" /* Who to blame */
+
+
+ /* parameters for decimal64s */
+ #define DECIMAL64_Bytes 8 /* length */
+ #define DECIMAL64_Pmax 16 /* maximum precision (digits) */
+ #define DECIMAL64_Emax 384 /* maximum adjusted exponent */
+ #define DECIMAL64_Emin -383 /* minimum adjusted exponent */
+ #define DECIMAL64_Bias 398 /* bias for the exponent */
+ #define DECIMAL64_String 24 /* maximum string length, +1 */
+ #define DECIMAL64_EconL 8 /* exp. continuation length */
+ /* highest biased exponent (Elimit-1) */
+ #define DECIMAL64_Ehigh (DECIMAL64_Emax+DECIMAL64_Bias-DECIMAL64_Pmax+1)
+
+ /* check enough digits, if pre-defined */
+ #if defined(DECNUMDIGITS)
+ #if (DECNUMDIGITS<DECIMAL64_Pmax)
+ #error decimal64.h needs pre-defined DECNUMDIGITS>=16 for safe use
+ #endif
+ #endif
+
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECIMAL64_Pmax /* size if not already defined*/
+ #endif
+ #ifndef DECNUMBER
+ #include "decNumber.h" /* context and number library */
+ #endif
+
+ /* Decimal 64-bit type, accessible by bytes */
+ typedef struct {
+ uint8_t bytes[DECIMAL64_Bytes]; /* decimal64: 1, 5, 8, 50 bits*/
+ } decimal64;
+
+ /* special values [top byte excluding sign bit; last two bits are */
+ /* don't-care for Infinity on input, last bit don't-care for NaN] */
+ #if !defined(DECIMAL_NaN)
+ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
+ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
+ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines */
+ /* ---------------------------------------------------------------- */
+ /* String conversions */
+ decimal64 * decimal64FromString(decimal64 *, const char *, decContext *);
+ char * decimal64ToString(const decimal64 *, char *);
+ char * decimal64ToEngString(const decimal64 *, char *);
+
+ /* decNumber conversions */
+ decimal64 * decimal64FromNumber(decimal64 *, const decNumber *,
+ decContext *);
+ decNumber * decimal64ToNumber(const decimal64 *, decNumber *);
+
+ /* Format-dependent utilities */
+ uint32_t decimal64IsCanonical(const decimal64 *);
+ decimal64 * decimal64Canonical(decimal64 *, const decimal64 *);
+
+#endif
diff -Naur a/src/decNumber/decNumber.c b/src/decNumber/decNumber.c
--- a/src/decNumber/decNumber.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decNumber.c 2021-09-29 10:19:45.802827649 -0700
@@ -0,0 +1,8141 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number arithmetic module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for arbitrary-precision General */
+/* Decimal Arithmetic as defined in the specification which may be */
+/* found on the General Decimal Arithmetic pages. It implements both */
+/* the full ('extended') arithmetic and the simpler ('subset') */
+/* arithmetic. */
+/* */
+/* Usage notes: */
+/* */
+/* 1. This code is ANSI C89 except: */
+/* */
+/* a) C99 line comments (double forward slash) are used. (Most C */
+/* compilers accept these. If yours does not, a simple script */
+/* can be used to convert them to ANSI C comments.) */
+/* */
+/* b) Types from C99 stdint.h are used. If you do not have this */
+/* header file, see the User's Guide section of the decNumber */
+/* documentation; this lists the necessary definitions. */
+/* */
+/* c) If DECDPUN>4 or DECUSE64=1, the C99 64-bit int64_t and */
+/* uint64_t types may be used. To avoid these, set DECUSE64=0 */
+/* and DECDPUN<=4 (see documentation). */
+/* */
+/* The code also conforms to C99 restrictions; in particular, */
+/* strict aliasing rules are observed. */
+/* */
+/* 2. The decNumber format which this library uses is optimized for */
+/* efficient processing of relatively short numbers; in particular */
+/* it allows the use of fixed sized structures and minimizes copy */
+/* and move operations. It does, however, support arbitrary */
+/* precision (up to 999,999,999 digits) and arbitrary exponent */
+/* range (Emax in the range 0 through 999,999,999 and Emin in the */
+/* range -999,999,999 through 0). Mathematical functions (for */
+/* example decNumberExp) as identified below are restricted more */
+/* tightly: digits, emax, and -emin in the context must be <= */
+/* DEC_MAX_MATH (999999), and their operand(s) must be within */
+/* these bounds. */
+/* */
+/* 3. Logical functions are further restricted; their operands must */
+/* be finite, positive, have an exponent of zero, and all digits */
+/* must be either 0 or 1. The result will only contain digits */
+/* which are 0 or 1 (and will have exponent=0 and a sign of 0). */
+/* */
+/* 4. Operands to operator functions are never modified unless they */
+/* are also specified to be the result number (which is always */
+/* permitted). Other than that case, operands must not overlap. */
+/* */
+/* 5. Error handling: the type of the error is ORed into the status */
+/* flags in the current context (decContext structure). The */
+/* SIGFPE signal is then raised if the corresponding trap-enabler */
+/* flag in the decContext is set (is 1). */
+/* */
+/* It is the responsibility of the caller to clear the status */
+/* flags as required. */
+/* */
+/* The result of any routine which returns a number will always */
+/* be a valid number (which may be a special value, such as an */
+/* Infinity or NaN). */
+/* */
+/* 6. The decNumber format is not an exchangeable concrete */
+/* representation as it comprises fields which may be machine- */
+/* dependent (packed or unpacked, or special length, for example). */
+/* Canonical conversions to and from strings are provided; other */
+/* conversions are available in separate modules. */
+/* */
+/* 7. Normally, input operands are assumed to be valid. Set DECCHECK */
+/* to 1 for extended operand checking (including NULL operands). */
+/* Results are undefined if a badly-formed structure (or a NULL */
+/* pointer to a structure) is provided, though with DECCHECK */
+/* enabled the operator routines are protected against exceptions. */
+/* (Except if the result pointer is NULL, which is unrecoverable.) */
+/* */
+/* However, the routines will never cause exceptions if they are */
+/* given well-formed operands, even if the value of the operands */
+/* is inappropriate for the operation and DECCHECK is not set. */
+/* (Except for SIGFPE, as and where documented.) */
+/* */
+/* 8. Subset arithmetic is available only if DECSUBSET is set to 1. */
+/* ------------------------------------------------------------------ */
+/* Implementation notes for maintenance of this module: */
+/* */
+/* 1. Storage leak protection: Routines which use malloc are not */
+/* permitted to use return for fastpath or error exits (i.e., */
+/* they follow strict structured programming conventions). */
+/* Instead they have a do{}while(0); construct surrounding the */
+/* code which is protected -- break may be used to exit this. */
+/* Other routines can safely use the return statement inline. */
+/* */
+/* Storage leak accounting can be enabled using DECALLOC. */
+/* */
+/* 2. All loops use the for(;;) construct. Any do construct does */
+/* not loop; it is for allocation protection as just described. */
+/* */
+/* 3. Setting status in the context must always be the very last */
+/* action in a routine, as non-0 status may raise a trap and hence */
+/* the call to set status may not return (if the handler uses long */
+/* jump). Therefore all cleanup must be done first. In general, */
+/* to achieve this status is accumulated and is only applied just */
+/* before return by calling decContextSetStatus (via decStatus). */
+/* */
+/* Routines which allocate storage cannot, in general, use the */
+/* 'top level' routines which could cause a non-returning */
+/* transfer of control. The decXxxxOp routines are safe (do not */
+/* call decStatus even if traps are set in the context) and should */
+/* be used instead (they are also a little faster). */
+/* */
+/* 4. Exponent checking is minimized by allowing the exponent to */
+/* grow outside its limits during calculations, provided that */
+/* the decFinalize function is called later. Multiplication and */
+/* division, and intermediate calculations in exponentiation, */
+/* require more careful checks because of the risk of 31-bit */
+/* overflow (the most negative valid exponent is -1999999997, for */
+/* a 999999999-digit number with adjusted exponent of -999999999). */
+/* */
+/* 5. Rounding is deferred until finalization of results, with any */
+/* 'off to the right' data being represented as a single digit */
+/* residue (in the range -1 through 9). This avoids any double- */
+/* rounding when more than one shortening takes place (for */
+/* example, when a result is subnormal). */
+/* */
+/* 6. The digits count is allowed to rise to a multiple of DECDPUN */
+/* during many operations, so whole Units are handled and exact */
+/* accounting of digits is not needed. The correct digits value */
+/* is found by decGetDigits, which accounts for leading zeros. */
+/* This must be called before any rounding if the number of digits */
+/* is not known exactly. */
+/* */
+/* 7. The multiply-by-reciprocal 'trick' is used for partitioning */
+/* numbers up to four digits, using appropriate constants. This */
+/* is not useful for longer numbers because overflow of 32 bits */
+/* would lead to 4 multiplies, which is almost as expensive as */
+/* a divide (unless a floating-point or 64-bit multiply is */
+/* assumed to be available). */
+/* */
+/* 8. Unusual abbreviations that may be used in the commentary: */
+/* lhs -- left hand side (operand, of an operation) */
+/* lsd -- least significant digit (of coefficient) */
+/* lsu -- least significant Unit (of coefficient) */
+/* msd -- most significant digit (of coefficient) */
+/* msi -- most significant item (in an array) */
+/* msu -- most significant Unit (of coefficient) */
+/* rhs -- right hand side (operand, of an operation) */
+/* +ve -- positive */
+/* -ve -- negative */
+/* ** -- raise to the power */
+/* ------------------------------------------------------------------ */
+
+#include <stdlib.h> // for malloc, free, etc.
+#include <stdio.h> // for printf [if needed]
+#include <string.h> // for strcpy
+#include <ctype.h> // for lower
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+
+/* Constants */
+// Public lookup table used by the D2U macro
+const uByte d2utable[DECMAXD2U+1]=D2UTABLE;
+
+#define DECVERB 1 // set to 1 for verbose DECCHECK
+#define powers DECPOWERS // old internal name
+
+// Local constants
+#define DIVIDE 0x80 // Divide operators
+#define REMAINDER 0x40 // ..
+#define DIVIDEINT 0x20 // ..
+#define REMNEAR 0x10 // ..
+#define COMPARE 0x01 // Compare operators
+#define COMPMAX 0x02 // ..
+#define COMPMIN 0x03 // ..
+#define COMPTOTAL 0x04 // ..
+#define COMPNAN 0x05 // .. [NaN processing]
+#define COMPSIG 0x06 // .. [signaling COMPARE]
+#define COMPMAXMAG 0x07 // ..
+#define COMPMINMAG 0x08 // ..
+
+#define DEC_sNaN 0x40000000 // local status: sNaN signal
+#define BADINT (Int)0x80000000 // most-negative Int; error indicator
+// Next two indicate an integer >= 10**6, and its parity (bottom bit)
+#define BIGEVEN (Int)0x80000002
+#define BIGODD (Int)0x80000003
+
+static Unit uarrone[1]={1}; // Unit array of 1, used for incrementing
+
+/* Granularity-dependent code */
+#if DECDPUN<=4
+ #define eInt Int // extended integer
+ #define ueInt uInt // unsigned extended integer
+ // Constant multipliers for divide-by-power-of five using reciprocal
+ // multiply, after removing powers of 2 by shifting, and final shift
+ // of 17 [we only need up to **4]
+ static const uInt multies[]={131073, 26215, 5243, 1049, 210};
+ // QUOT10 -- macro to return the quotient of unit u divided by 10**n
+ #define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17)
+#else
+ // For DECDPUN>4 non-ANSI-89 64-bit types are needed.
+ #if !DECUSE64
+ #error decNumber.c: DECUSE64 must be 1 when DECDPUN>4
+ #endif
+ #define eInt Long // extended integer
+ #define ueInt uLong // unsigned extended integer
+#endif
+
+/* Local routines */
+static decNumber * decAddOp(decNumber *, const decNumber *, const decNumber *,
+ decContext *, uByte, uInt *);
+static Flag decBiStr(const char *, const char *, const char *);
+static uInt decCheckMath(const decNumber *, decContext *, uInt *);
+static void decApplyRound(decNumber *, decContext *, Int, uInt *);
+static Int decCompare(const decNumber *lhs, const decNumber *rhs, Flag);
+static decNumber * decCompareOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *,
+ Flag, uInt *);
+static void decCopyFit(decNumber *, const decNumber *, decContext *,
+ Int *, uInt *);
+static decNumber * decDecap(decNumber *, Int);
+static decNumber * decDivideOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *, Flag, uInt *);
+static decNumber * decExpOp(decNumber *, const decNumber *,
+ decContext *, uInt *);
+static void decFinalize(decNumber *, decContext *, Int *, uInt *);
+static Int decGetDigits(Unit *, Int);
+static Int decGetInt(const decNumber *);
+static decNumber * decLnOp(decNumber *, const decNumber *,
+ decContext *, uInt *);
+static decNumber * decMultiplyOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *,
+ uInt *);
+static decNumber * decNaNs(decNumber *, const decNumber *,
+ const decNumber *, decContext *, uInt *);
+static decNumber * decQuantizeOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *, Flag,
+ uInt *);
+static void decReverse(Unit *, Unit *);
+static void decSetCoeff(decNumber *, decContext *, const Unit *,
+ Int, Int *, uInt *);
+static void decSetMaxValue(decNumber *, decContext *);
+static void decSetOverflow(decNumber *, decContext *, uInt *);
+static void decSetSubnormal(decNumber *, decContext *, Int *, uInt *);
+static Int decShiftToLeast(Unit *, Int, Int);
+static Int decShiftToMost(Unit *, Int, Int);
+static void decStatus(decNumber *, uInt, decContext *);
+static void decToString(const decNumber *, char[], Flag);
+static decNumber * decTrim(decNumber *, decContext *, Flag, Flag, Int *);
+static Int decUnitAddSub(const Unit *, Int, const Unit *, Int, Int,
+ Unit *, Int);
+static Int decUnitCompare(const Unit *, Int, const Unit *, Int, Int);
+
+#if !DECSUBSET
+/* decFinish == decFinalize when no subset arithmetic needed */
+#define decFinish(a,b,c,d) decFinalize(a,b,c,d)
+#else
+static void decFinish(decNumber *, decContext *, Int *, uInt *);
+static decNumber * decRoundOperand(const decNumber *, decContext *, uInt *);
+#endif
+
+/* Local macros */
+// masked special-values bits
+#define SPECIALARG (rhs->bits & DECSPECIAL)
+#define SPECIALARGS ((lhs->bits | rhs->bits) & DECSPECIAL)
+
+/* Diagnostic macros, etc. */
+#if DECALLOC
+// Handle malloc/free accounting. If enabled, our accountable routines
+// are used; otherwise the code just goes straight to the system malloc
+// and free routines.
+#define malloc(a) decMalloc(a)
+#define free(a) decFree(a)
+#define DECFENCE 0x5a // corruption detector
+// 'Our' malloc and free:
+static void *decMalloc(size_t);
+static void decFree(void *);
+uInt decAllocBytes=0; // count of bytes allocated
+// Note that DECALLOC code only checks for storage buffer overflow.
+// To check for memory leaks, the decAllocBytes variable must be
+// checked to be 0 at appropriate times (e.g., after the test
+// harness completes a set of tests). This checking may be unreliable
+// if the testing is done in a multi-thread environment.
+#endif
+
+#if DECCHECK
+// Optional checking routines. Enabling these means that decNumber
+// and decContext operands to operator routines are checked for
+// correctness. This roughly doubles the execution time of the
+// fastest routines (and adds 600+ bytes), so should not normally be
+// used in 'production'.
+// decCheckInexact is used to check that inexact results have a full
+// complement of digits (where appropriate -- this is not the case
+// for Quantize, for example)
+#define DECUNRESU ((decNumber *)(void *)0xffffffff)
+#define DECUNUSED ((const decNumber *)(void *)0xffffffff)
+#define DECUNCONT ((decContext *)(void *)(0xffffffff))
+static Flag decCheckOperands(decNumber *, const decNumber *,
+ const decNumber *, decContext *);
+static Flag decCheckNumber(const decNumber *);
+static void decCheckInexact(const decNumber *, decContext *);
+#endif
+
+#if DECTRACE || DECCHECK
+// Optional trace/debugging routines (may or may not be used)
+void decNumberShow(const decNumber *); // displays the components of a number
+static void decDumpAr(char, const Unit *, Int);
+#endif
+
+/* ================================================================== */
+/* Conversions */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* from-int32 -- conversion from Int or uInt */
+/* */
+/* dn is the decNumber to receive the integer */
+/* in or uin is the integer to be converted */
+/* returns dn */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberFromInt32(decNumber *dn, Int in) {
+ uInt unsig;
+ if (in>=0) unsig=in;
+ else { // negative (possibly BADINT)
+ if (in==BADINT) unsig=(uInt)1073741824*2; // special case
+ else unsig=-in; // invert
+ }
+ // in is now positive
+ decNumberFromUInt32(dn, unsig);
+ if (in<0) dn->bits=DECNEG; // sign needed
+ return dn;
+ } // decNumberFromInt32
+
+decNumber * decNumberFromUInt32(decNumber *dn, uInt uin) {
+ Unit *up; // work pointer
+ decNumberZero(dn); // clean
+ if (uin==0) return dn; // [or decGetDigits bad call]
+ for (up=dn->lsu; uin>0; up++) {
+ *up=(Unit)(uin%(DECDPUNMAX+1));
+ uin=uin/(DECDPUNMAX+1);
+ }
+ dn->digits=decGetDigits(dn->lsu, up-dn->lsu);
+ return dn;
+ } // decNumberFromUInt32
+
+/* ------------------------------------------------------------------ */
+/* to-int32 -- conversion to Int or uInt */
+/* */
+/* dn is the decNumber to convert */
+/* set is the context for reporting errors */
+/* returns the converted decNumber, or 0 if Invalid is set */
+/* */
+/* Invalid is set if the decNumber does not have exponent==0 or if */
+/* it is a NaN, Infinite, or out-of-range. */
+/* ------------------------------------------------------------------ */
+Int decNumberToInt32(const decNumber *dn, decContext *set) {
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0;
+ #endif
+
+ // special or too many digits, or bad exponent
+ if (dn->bits&DECSPECIAL || dn->digits>10 || dn->exponent!=0) ; // bad
+ else { // is a finite integer with 10 or fewer digits
+ Int d; // work
+ const Unit *up; // ..
+ uInt hi=0, lo; // ..
+ up=dn->lsu; // -> lsu
+ lo=*up; // get 1 to 9 digits
+ #if DECDPUN>1 // split to higher
+ hi=lo/10;
+ lo=lo%10;
+ #endif
+ up++;
+ // collect remaining Units, if any, into hi
+ for (d=DECDPUN; d<dn->digits; up++, d+=DECDPUN) hi+=*up*powers[d-1];
+ // now low has the lsd, hi the remainder
+ if (hi>214748364 || (hi==214748364 && lo>7)) { // out of range?
+ // most-negative is a reprieve
+ if (dn->bits&DECNEG && hi==214748364 && lo==8) return 0x80000000;
+ // bad -- drop through
+ }
+ else { // in-range always
+ Int i=X10(hi)+lo;
+ if (dn->bits&DECNEG) return -i;
+ return i;
+ }
+ } // integer
+ decContextSetStatus(set, DEC_Invalid_operation); // [may not return]
+ return 0;
+ } // decNumberToInt32
+
+uInt decNumberToUInt32(const decNumber *dn, decContext *set) {
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0;
+ #endif
+ // special or too many digits, or bad exponent, or negative (<0)
+ if (dn->bits&DECSPECIAL || dn->digits>10 || dn->exponent!=0
+ || (dn->bits&DECNEG && !ISZERO(dn))); // bad
+ else { // is a finite integer with 10 or fewer digits
+ Int d; // work
+ const Unit *up; // ..
+ uInt hi=0, lo; // ..
+ up=dn->lsu; // -> lsu
+ lo=*up; // get 1 to 9 digits
+ #if DECDPUN>1 // split to higher
+ hi=lo/10;
+ lo=lo%10;
+ #endif
+ up++;
+ // collect remaining Units, if any, into hi
+ for (d=DECDPUN; d<dn->digits; up++, d+=DECDPUN) hi+=*up*powers[d-1];
+
+ // now low has the lsd, hi the remainder
+ if (hi>429496729 || (hi==429496729 && lo>5)) ; // no reprieve possible
+ else return X10(hi)+lo;
+ } // integer
+ decContextSetStatus(set, DEC_Invalid_operation); // [may not return]
+ return 0;
+ } // decNumberToUInt32
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decNumberToString(dn, string); */
+/* decNumberToEngString(dn, string); */
+/* */
+/* dn is the decNumber to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least dn->digits+14 characters long */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decNumberToString(const decNumber *dn, char *string){
+ decToString(dn, string, 0);
+ return string;
+ } // DecNumberToString
+
+char * decNumberToEngString(const decNumber *dn, char *string){
+ decToString(dn, string, 1);
+ return string;
+ } // DecNumberToEngString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decNumberFromString -- convert string to decNumber */
+/* dn -- the number structure to fill */
+/* chars[] -- the string to convert ('\0' terminated) */
+/* set -- the context used for processing any error, */
+/* determining the maximum precision available */
+/* (set.digits), determining the maximum and minimum */
+/* exponent (set.emax and set.emin), determining if */
+/* extended values are allowed, and checking the */
+/* rounding mode if overflow occurs or rounding is */
+/* needed. */
+/* */
+/* The length of the coefficient and the size of the exponent are */
+/* checked by this routine, so the correct error (Underflow or */
+/* Overflow) can be reported or rounding applied, as necessary. */
+/* */
+/* If bad syntax is detected, the result will be a quiet NaN. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberFromString(decNumber *dn, const char chars[],
+ decContext *set) {
+ Int exponent=0; // working exponent [assume 0]
+ uByte bits=0; // working flags [assume +ve]
+ Unit *res; // where result will be built
+ Unit resbuff[SD2U(DECBUFFER+9)];// local buffer in case need temporary
+ // [+9 allows for ln() constants]
+ Unit *allocres=NULL; // -> allocated result, iff allocated
+ Int d=0; // count of digits found in decimal part
+ const char *dotchar=NULL; // where dot was found
+ const char *cfirst=chars; // -> first character of decimal part
+ const char *last=NULL; // -> last digit of decimal part
+ const char *c; // work
+ Unit *up; // ..
+ #if DECDPUN>1
+ Int cut, out; // ..
+ #endif
+ Int residue; // rounding residue
+ uInt status=0; // error code
+
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, DECUNUSED, set))
+ return decNumberZero(dn);
+ #endif
+
+ do { // status & malloc protection
+ for (c=chars;; c++) { // -> input character
+ if (*c>='0' && *c<='9') { // test for Arabic digit
+ last=c;
+ d++; // count of real digits
+ continue; // still in decimal part
+ }
+ if (*c=='.' && dotchar==NULL) { // first '.'
+ dotchar=c; // record offset into decimal part
+ if (c==cfirst) cfirst++; // first digit must follow
+ continue;}
+ if (c==chars) { // first in string...
+ if (*c=='-') { // valid - sign
+ cfirst++;
+ bits=DECNEG;
+ continue;}
+ if (*c=='+') { // valid + sign
+ cfirst++;
+ continue;}
+ }
+ // *c is not a digit, or a valid +, -, or '.'
+ break;
+ } // c
+
+ if (last==NULL) { // no digits yet
+ status=DEC_Conversion_syntax;// assume the worst
+ if (*c=='\0') break; // and no more to come...
+ #if DECSUBSET
+ // if subset then infinities and NaNs are not allowed
+ if (!set->extended) break; // hopeless
+ #endif
+ // Infinities and NaNs are possible, here
+ if (dotchar!=NULL) break; // .. unless had a dot
+ decNumberZero(dn); // be optimistic
+ if (decBiStr(c, "infinity", "INFINITY")
+ || decBiStr(c, "inf", "INF")) {
+ dn->bits=bits | DECINF;
+ status=0; // is OK
+ break; // all done
+ }
+ // a NaN expected
+ // 2003.09.10 NaNs are now permitted to have a sign
+ dn->bits=bits | DECNAN; // assume simple NaN
+ if (*c=='s' || *c=='S') { // looks like an sNaN
+ c++;
+ dn->bits=bits | DECSNAN;
+ }
+ if (*c!='n' && *c!='N') break; // check caseless "NaN"
+ c++;
+ if (*c!='a' && *c!='A') break; // ..
+ c++;
+ if (*c!='n' && *c!='N') break; // ..
+ c++;
+ // now either nothing, or nnnn payload, expected
+ // -> start of integer and skip leading 0s [including plain 0]
+ for (cfirst=c; *cfirst=='0';) cfirst++;
+ if (*cfirst=='\0') { // "NaN" or "sNaN", maybe with all 0s
+ status=0; // it's good
+ break; // ..
+ }
+ // something other than 0s; setup last and d as usual [no dots]
+ for (c=cfirst;; c++, d++) {
+ if (*c<'0' || *c>'9') break; // test for Arabic digit
+ last=c;
+ }
+ if (*c!='\0') break; // not all digits
+ if (d>set->digits-1) {
+ // [NB: payload in a decNumber can be full length unless
+ // clamped, in which case can only be digits-1]
+ if (set->clamp) break;
+ if (d>set->digits) break;
+ } // too many digits?
+ // good; drop through to convert the integer to coefficient
+ status=0; // syntax is OK
+ bits=dn->bits; // for copy-back
+ } // last==NULL
+
+ else if (*c!='\0') { // more to process...
+ // had some digits; exponent is only valid sequence now
+ Flag nege; // 1=negative exponent
+ const char *firstexp; // -> first significant exponent digit
+ status=DEC_Conversion_syntax;// assume the worst
+ if (*c!='e' && *c!='E') break;
+ /* Found 'e' or 'E' -- now process explicit exponent */
+ // 1998.07.11: sign no longer required
+ nege=0;
+ c++; // to (possible) sign
+ if (*c=='-') {nege=1; c++;}
+ else if (*c=='+') c++;
+ if (*c=='\0') break;
+
+ for (; *c=='0' && *(c+1)!='\0';) c++; // strip insignificant zeros
+ firstexp=c; // save exponent digit place
+ for (; ;c++) {
+ if (*c<'0' || *c>'9') break; // not a digit
+ exponent=X10(exponent)+(Int)*c-(Int)'0';
+ } // c
+ // if not now on a '\0', *c must not be a digit
+ if (*c!='\0') break;
+
+ // (this next test must be after the syntax checks)
+ // if it was too long the exponent may have wrapped, so check
+ // carefully and set it to a certain overflow if wrap possible
+ if (c>=firstexp+9+1) {
+ if (c>firstexp+9+1 || *firstexp>'1') exponent=DECNUMMAXE*2;
+ // [up to 1999999999 is OK, for example 1E-1000000998]
+ }
+ if (nege) exponent=-exponent; // was negative
+ status=0; // is OK
+ } // stuff after digits
+
+ // Here when whole string has been inspected; syntax is good
+ // cfirst->first digit (never dot), last->last digit (ditto)
+
+ // strip leading zeros/dot [leave final 0 if all 0's]
+ if (*cfirst=='0') { // [cfirst has stepped over .]
+ for (c=cfirst; c<last; c++, cfirst++) {
+ if (*c=='.') continue; // ignore dots
+ if (*c!='0') break; // non-zero found
+ d--; // 0 stripped
+ } // c
+ #if DECSUBSET
+ // make a rapid exit for easy zeros if !extended
+ if (*cfirst=='0' && !set->extended) {
+ decNumberZero(dn); // clean result
+ break; // [could be return]
+ }
+ #endif
+ } // at least one leading 0
+
+ // Handle decimal point...
+ if (dotchar!=NULL && dotchar<last) // non-trailing '.' found?
+ exponent-=(last-dotchar); // adjust exponent
+ // [we can now ignore the .]
+
+ // OK, the digits string is good. Assemble in the decNumber, or in
+ // a temporary units array if rounding is needed
+ if (d<=set->digits) res=dn->lsu; // fits into supplied decNumber
+ else { // rounding needed
+ Int needbytes=D2U(d)*sizeof(Unit);// bytes needed
+ res=resbuff; // assume use local buffer
+ if (needbytes>(Int)sizeof(resbuff)) { // too big for local
+ allocres=(Unit *)malloc(needbytes);
+ if (allocres==NULL) {status|=DEC_Insufficient_storage; break;}
+ res=allocres;
+ }
+ }
+ // res now -> number lsu, buffer, or allocated storage for Unit array
+
+ // Place the coefficient into the selected Unit array
+ // [this is often 70% of the cost of this function when DECDPUN>1]
+ #if DECDPUN>1
+ out=0; // accumulator
+ up=res+D2U(d)-1; // -> msu
+ cut=d-(up-res)*DECDPUN; // digits in top unit
+ for (c=cfirst;; c++) { // along the digits
+ if (*c=='.') continue; // ignore '.' [don't decrement cut]
+ out=X10(out)+(Int)*c-(Int)'0';
+ if (c==last) break; // done [never get to trailing '.']
+ cut--;
+ if (cut>0) continue; // more for this unit
+ *up=(Unit)out; // write unit
+ up--; // prepare for unit below..
+ cut=DECDPUN; // ..
+ out=0; // ..
+ } // c
+ *up=(Unit)out; // write lsu
+
+ #else
+ // DECDPUN==1
+ up=res; // -> lsu
+ for (c=last; c>=cfirst; c--) { // over each character, from least
+ if (*c=='.') continue; // ignore . [don't step up]
+ *up=(Unit)((Int)*c-(Int)'0');
+ up++;
+ } // c
+ #endif
+
+ dn->bits=bits;
+ dn->exponent=exponent;
+ dn->digits=d;
+
+ // if not in number (too long) shorten into the number
+ if (d>set->digits) {
+ residue=0;
+ decSetCoeff(dn, set, res, d, &residue, &status);
+ // always check for overflow or subnormal and round as needed
+ decFinalize(dn, set, &residue, &status);
+ }
+ else { // no rounding, but may still have overflow or subnormal
+ // [these tests are just for performance; finalize repeats them]
+ if ((dn->exponent-1<set->emin-dn->digits)
+ || (dn->exponent-1>set->emax-set->digits)) {
+ residue=0;
+ decFinalize(dn, set, &residue, &status);
+ }
+ }
+ // decNumberShow(dn);
+ } while(0); // [for break]
+
+ if (allocres!=NULL) free(allocres); // drop any storage used
+ if (status!=0) decStatus(dn, status, set);
+ return dn;
+ } /* decNumberFromString */
+
+/* ================================================================== */
+/* Operators */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* decNumberAbs -- absolute value operator */
+/* */
+/* This computes C = abs(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* See also decNumberCopyAbs for a quiet bitwise version of this. */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This has the same effect as decNumberPlus unless A is negative, */
+/* in which case it has the same effect as decNumberMinus. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberAbs(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dzero; // for 0
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ decNumberZero(&dzero); // set 0
+ dzero.exponent=rhs->exponent; // [no coefficient expansion]
+ decAddOp(res, &dzero, rhs, set, (uByte)(rhs->bits & DECNEG), &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberAbs
+
+/* ------------------------------------------------------------------ */
+/* decNumberAdd -- add two Numbers */
+/* */
+/* This computes C = A + B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X+X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This just calls the routine shared with Subtract */
+decNumber * decNumberAdd(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decAddOp(res, lhs, rhs, set, 0, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberAdd
+
+/* ------------------------------------------------------------------ */
+/* decNumberAnd -- AND two Numbers, digitwise */
+/* */
+/* This computes C = A & B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X&X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberAnd(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ const Unit *ua, *ub; // -> operands
+ const Unit *msua, *msub; // -> operand msus
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs)
+ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+
+ // operands are valid
+ ua=lhs->lsu; // bottom-up
+ ub=rhs->lsu; // ..
+ uc=res->lsu; // ..
+ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs
+ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop
+ Unit a, b; // extract units
+ if (ua>msua) a=0;
+ else a=*ua;
+ if (ub>msub) b=0;
+ else b=*ub;
+ *uc=0; // can now write back
+ if (a|b) { // maybe 1 bits to examine
+ Int i, j;
+ *uc=0; // can now write back
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i<DECDPUN; i++) {
+ if (a&b&1) *uc=*uc+(Unit)powers[i]; // effect AND
+ j=a%10;
+ a=a/10;
+ j|=b%10;
+ b=b/10;
+ if (j>1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // both OK
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberAnd
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompare -- compare two Numbers */
+/* */
+/* This computes C = A ? B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit (or NaN). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompare(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPARE, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompare
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompareSignal -- compare, signalling on all NaNs */
+/* */
+/* This computes C = A ? B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit (or NaN). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompareSignal(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPSIG, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompareSignal
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompareTotal -- compare two Numbers, using total ordering */
+/* */
+/* This computes C = A ? B, under total ordering */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit; the result will always be one of */
+/* -1, 0, or 1. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompareTotal(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPTOTAL, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompareTotal
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompareTotalMag -- compare, total ordering of magnitudes */
+/* */
+/* This computes C = |A| ? |B|, under total ordering */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit; the result will always be one of */
+/* -1, 0, or 1. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompareTotalMag(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ uInt needbytes; // for space calculations
+ decNumber bufa[D2N(DECBUFFER+1)];// +1 in case DECBUFFER=0
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber bufb[D2N(DECBUFFER+1)];
+ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated
+ decNumber *a, *b; // temporary pointers
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ // if either is negative, take a copy and absolute
+ if (decNumberIsNegative(lhs)) { // lhs<0
+ a=bufa;
+ needbytes=sizeof(decNumber)+(D2U(lhs->digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ decNumberCopy(a, lhs); // copy content
+ a->bits&=~DECNEG; // .. and clear the sign
+ lhs=a; // use copy from here on
+ }
+ if (decNumberIsNegative(rhs)) { // rhs<0
+ b=bufb;
+ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufb)) { // need malloc space
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufb==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ b=allocbufb; // use the allocated space
+ }
+ decNumberCopy(b, rhs); // copy content
+ b->bits&=~DECNEG; // .. and clear the sign
+ rhs=b; // use copy from here on
+ }
+ decCompareOp(res, lhs, rhs, set, COMPTOTAL, &status);
+ } while(0); // end protected
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompareTotalMag
+
+/* ------------------------------------------------------------------ */
+/* decNumberDivide -- divide one number by another */
+/* */
+/* This computes C = A / B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X/X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberDivide(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, DIVIDE, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberDivide
+
+/* ------------------------------------------------------------------ */
+/* decNumberDivideInteger -- divide and return integer quotient */
+/* */
+/* This computes C = A # B, where # is the integer divide operator */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X#X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberDivideInteger(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, DIVIDEINT, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberDivideInteger
+
+/* ------------------------------------------------------------------ */
+/* decNumberExp -- exponentiation */
+/* */
+/* This computes C = exp(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* Finite results will always be full precision and Inexact, except */
+/* when A is a zero or -Infinity (giving 1 or 0 respectively). */
+/* */
+/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* This is a wrapper for decExpOp which can handle the slightly wider */
+/* (double) range needed by Ln (which has to be able to calculate */
+/* exp(-a) where a can be the tiniest number (Ntiny). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberExp(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // Check restrictions; these restrictions ensure that if h=8 (see
+ // decExpOp) then the result will either overflow or underflow to 0.
+ // Other math functions restrict the input range, too, for inverses.
+ // If not violated then carry out the operation.
+ if (!decCheckMath(rhs, set, &status)) do { // protect allocation
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ decExpOp(res, rhs, set, &status);
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // drop any storage used
+ #endif
+ // apply significant status
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberExp
+
+/* ------------------------------------------------------------------ */
+/* decNumberFMA -- fused multiply add */
+/* */
+/* This computes D = (A * B) + C with only one rounding */
+/* */
+/* res is D, the result. D may be A or B or C (e.g., X=FMA(X,X,X)) */
+/* lhs is A */
+/* rhs is B */
+/* fhs is C [far hand side] */
+/* set is the context */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberFMA(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, const decNumber *fhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+ decContext dcmul; // context for the multiplication
+ uInt needbytes; // for space calculations
+ decNumber bufa[D2N(DECBUFFER*2+1)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *acc; // accumulator pointer
+ decNumber dzero; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ if (decCheckOperands(res, fhs, DECUNUSED, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) { // [undefined if subset]
+ status|=DEC_Invalid_operation;
+ break;}
+ #endif
+ // Check math restrictions [these ensure no overflow or underflow]
+ if ((!decNumberIsSpecial(lhs) && decCheckMath(lhs, set, &status))
+ || (!decNumberIsSpecial(rhs) && decCheckMath(rhs, set, &status))
+ || (!decNumberIsSpecial(fhs) && decCheckMath(fhs, set, &status))) break;
+ // set up context for multiply
+ dcmul=*set;
+ dcmul.digits=lhs->digits+rhs->digits; // just enough
+ // [The above may be an over-estimate for subset arithmetic, but that's OK]
+ dcmul.emax=DEC_MAX_EMAX; // effectively unbounded ..
+ dcmul.emin=DEC_MIN_EMIN; // [thanks to Math restrictions]
+ // set up decNumber space to receive the result of the multiply
+ acc=bufa; // may fit
+ needbytes=sizeof(decNumber)+(D2U(dcmul.digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ acc=allocbufa; // use the allocated space
+ }
+ // multiply with extended range and necessary precision
+ //printf("emin=%ld\n", dcmul.emin);
+ decMultiplyOp(acc, lhs, rhs, &dcmul, &status);
+ // Only Invalid operation (from sNaN or Inf * 0) is possible in
+ // status; if either is seen than ignore fhs (in case it is
+ // another sNaN) and set acc to NaN unless we had an sNaN
+ // [decMultiplyOp leaves that to caller]
+ // Note sNaN has to go through addOp to shorten payload if
+ // necessary
+ if ((status&DEC_Invalid_operation)!=0) {
+ if (!(status&DEC_sNaN)) { // but be true invalid
+ decNumberZero(res); // acc not yet set
+ res->bits=DECNAN;
+ break;
+ }
+ decNumberZero(&dzero); // make 0 (any non-NaN would do)
+ fhs=&dzero; // use that
+ }
+ #if DECCHECK
+ else { // multiply was OK
+ if (status!=0) printf("Status=%08lx after FMA multiply\n", (LI)status);
+ }
+ #endif
+ // add the third operand and result -> res, and all is done
+ decAddOp(res, acc, fhs, set, 0, &status);
+ } while(0); // end protected
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberFMA
+
+/* ------------------------------------------------------------------ */
+/* decNumberInvert -- invert a Number, digitwise */
+/* */
+/* This computes C = ~A */
+/* */
+/* res is C, the result. C may be A (e.g., X=~X) */
+/* rhs is A */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberInvert(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ const Unit *ua, *msua; // -> operand and its msu
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ if (rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ // operand is valid
+ ua=rhs->lsu; // bottom-up
+ uc=res->lsu; // ..
+ msua=ua+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, uc++) { // Unit loop
+ Unit a; // extract unit
+ Int i, j; // work
+ if (ua>msua) a=0;
+ else a=*ua;
+ *uc=0; // can now write back
+ // always need to examine all bits in rhs
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i<DECDPUN; i++) {
+ if ((~a)&1) *uc=*uc+(Unit)powers[i]; // effect INVERT
+ j=a%10;
+ a=a/10;
+ if (j>1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberInvert
+
+/* ------------------------------------------------------------------ */
+/* decNumberLn -- natural logarithm */
+/* */
+/* This computes C = ln(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Notable cases: */
+/* A<0 -> Invalid */
+/* A=0 -> -Infinity (Exact) */
+/* A=+Infinity -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* This is a wrapper for decLnOp which can handle the slightly wider */
+/* (+11) range needed by Ln, Log10, etc. (which may have to be able */
+/* to calculate at p+e+2). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberLn(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // Check restrictions; this is a math function; if not violated
+ // then carry out the operation.
+ if (!decCheckMath(rhs, set, &status)) do { // protect allocation
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ // special check in subset for rhs=0
+ if (ISZERO(rhs)) { // +/- zeros -> error
+ status|=DEC_Invalid_operation;
+ break;}
+ } // extended=0
+ #endif
+ decLnOp(res, rhs, set, &status);
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // drop any storage used
+ #endif
+ // apply significant status
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberLn
+
+/* ------------------------------------------------------------------ */
+/* decNumberLogB - get adjusted exponent, by 754 rules */
+/* */
+/* This computes C = adjustedexponent(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context, used only for digits and status */
+/* */
+/* For an unrounded result, digits may need to be 10 (A might have */
+/* 10**9 digits and an exponent of +999999999, or one digit and an */
+/* exponent of -1999999999). */
+/* */
+/* This returns the adjusted exponent of A after (in theory) padding */
+/* with zeros on the right to set->digits digits while keeping the */
+/* same value. The exponent is not limited by emin/emax. */
+/* */
+/* Notable cases: */
+/* A<0 -> Use |A| */
+/* A=0 -> -Infinity (Division by zero) */
+/* A=Infinite -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* NaNs are propagated as usual */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberLogB(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // NaNs as usual; Infinities return +Infinity; 0->oops
+ if (decNumberIsNaN(rhs)) decNaNs(res, rhs, NULL, set, &status);
+ else if (decNumberIsInfinite(rhs)) decNumberCopyAbs(res, rhs);
+ else if (decNumberIsZero(rhs)) {
+ decNumberZero(res); // prepare for Infinity
+ res->bits=DECNEG|DECINF; // -Infinity
+ status|=DEC_Division_by_zero; // as per 754
+ }
+ else { // finite non-zero
+ Int ae=rhs->exponent+rhs->digits-1; // adjusted exponent
+ if (set->digits>=10) decNumberFromInt32(res, ae); // lay it out
+ else {
+ decNumber buft[D2N(10)]; // temporary number
+ decNumber *t=buft; // ..
+ decNumberFromInt32(t, ae); // lay it out
+ decNumberPlus(res, t, set); // round as necessary
+ }
+ }
+
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberLogB
+
+/* ------------------------------------------------------------------ */
+/* decNumberLog10 -- logarithm in base 10 */
+/* */
+/* This computes C = log10(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Notable cases: */
+/* A<0 -> Invalid */
+/* A=0 -> -Infinity (Exact) */
+/* A=+Infinity -> +Infinity (Exact) */
+/* A=10**n (if n is an integer) -> n (Exact) */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* This calculates ln(A)/ln(10) using appropriate precision. For */
+/* ln(A) this is the max(p, rhs->digits + t) + 3, where p is the */
+/* requested digits and t is the number of digits in the exponent */
+/* (maximum 6). For ln(10) it is p + 3; this is often handled by the */
+/* fastpath in decLnOp. The final division is done to the requested */
+/* precision. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberLog10(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0, ignore=0; // status accumulators
+ uInt needbytes; // for space calculations
+ Int p; // working precision
+ Int t; // digits in exponent of A
+
+ // buffers for a and b working decimals
+ // (adjustment calculator, same size)
+ decNumber bufa[D2N(DECBUFFER+2)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *a=bufa; // temporary a
+ decNumber bufb[D2N(DECBUFFER+2)];
+ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated
+ decNumber *b=bufb; // temporary b
+ decNumber bufw[D2N(10)]; // working 2-10 digit number
+ decNumber *w=bufw; // ..
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+
+ decContext aset; // working context
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // Check restrictions; this is a math function; if not violated
+ // then carry out the operation.
+ if (!decCheckMath(rhs, set, &status)) do { // protect malloc
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ // special check in subset for rhs=0
+ if (ISZERO(rhs)) { // +/- zeros -> error
+ status|=DEC_Invalid_operation;
+ break;}
+ } // extended=0
+ #endif
+
+ decContextDefault(&aset, DEC_INIT_DECIMAL64); // clean context
+
+ // handle exact powers of 10; only check if +ve finite
+ if (!(rhs->bits&(DECNEG|DECSPECIAL)) && !ISZERO(rhs)) {
+ Int residue=0; // (no residue)
+ uInt copystat=0; // clean status
+
+ // round to a single digit...
+ aset.digits=1;
+ decCopyFit(w, rhs, &aset, &residue, &copystat); // copy & shorten
+ // if exact and the digit is 1, rhs is a power of 10
+ if (!(copystat&DEC_Inexact) && w->lsu[0]==1) {
+ // the exponent, conveniently, is the power of 10; making
+ // this the result needs a little care as it might not fit,
+ // so first convert it into the working number, and then move
+ // to res
+ decNumberFromInt32(w, w->exponent);
+ residue=0;
+ decCopyFit(res, w, set, &residue, &status); // copy & round
+ decFinish(res, set, &residue, &status); // cleanup/set flags
+ break;
+ } // not a power of 10
+ } // not a candidate for exact
+
+ // simplify the information-content calculation to use 'total
+ // number of digits in a, including exponent' as compared to the
+ // requested digits, as increasing this will only rarely cost an
+ // iteration in ln(a) anyway
+ t=6; // it can never be >6
+
+ // allocate space when needed...
+ p=(rhs->digits+t>set->digits?rhs->digits+t:set->digits)+3;
+ needbytes=sizeof(decNumber)+(D2U(p)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ aset.digits=p; // as calculated
+ aset.emax=DEC_MAX_MATH; // usual bounds
+ aset.emin=-DEC_MAX_MATH; // ..
+ aset.clamp=0; // and no concrete format
+ decLnOp(a, rhs, &aset, &status); // a=ln(rhs)
+
+ // skip the division if the result so far is infinite, NaN, or
+ // zero, or there was an error; note NaN from sNaN needs copy
+ if (status&DEC_NaNs && !(status&DEC_sNaN)) break;
+ if (a->bits&DECSPECIAL || ISZERO(a)) {
+ decNumberCopy(res, a); // [will fit]
+ break;}
+
+ // for ln(10) an extra 3 digits of precision are needed
+ p=set->digits+3;
+ needbytes=sizeof(decNumber)+(D2U(p)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufb)) { // need malloc space
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufb==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ b=allocbufb; // use the allocated space
+ }
+ decNumberZero(w); // set up 10...
+ #if DECDPUN==1
+ w->lsu[1]=1; w->lsu[0]=0; // ..
+ #else
+ w->lsu[0]=10; // ..
+ #endif
+ w->digits=2; // ..
+
+ aset.digits=p;
+ decLnOp(b, w, &aset, &ignore); // b=ln(10)
+
+ aset.digits=set->digits; // for final divide
+ decDivideOp(res, a, b, &aset, DIVIDE, &status); // into result
+ } while(0); // [for break]
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // ..
+ #endif
+ // apply significant status
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberLog10
+
+/* ------------------------------------------------------------------ */
+/* decNumberMax -- compare two Numbers and return the maximum */
+/* */
+/* This computes C = A ? B, returning the maximum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMax(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMAX, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMax
+
+/* ------------------------------------------------------------------ */
+/* decNumberMaxMag -- compare and return the maximum by magnitude */
+/* */
+/* This computes C = A ? B, returning the maximum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMaxMag(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMAXMAG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMaxMag
+
+/* ------------------------------------------------------------------ */
+/* decNumberMin -- compare two Numbers and return the minimum */
+/* */
+/* This computes C = A ? B, returning the minimum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMin(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMIN, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMin
+
+/* ------------------------------------------------------------------ */
+/* decNumberMinMag -- compare and return the minimum by magnitude */
+/* */
+/* This computes C = A ? B, returning the minimum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMinMag(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMINMAG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMinMag
+
+/* ------------------------------------------------------------------ */
+/* decNumberMinus -- prefix minus operator */
+/* */
+/* This computes C = 0 - A */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* See also decNumberCopyNegate for a quiet bitwise version of this. */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* Simply use AddOp for the subtract, which will do the necessary. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMinus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dzero;
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ decNumberZero(&dzero); // make 0
+ dzero.exponent=rhs->exponent; // [no coefficient expansion]
+ decAddOp(res, &dzero, rhs, set, DECNEG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMinus
+
+/* ------------------------------------------------------------------ */
+/* decNumberNextMinus -- next towards -Infinity */
+/* */
+/* This computes C = A - infinitesimal, rounded towards -Infinity */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* This is a generalization of 754 NextDown. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberNextMinus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dtiny; // constant
+ decContext workset=*set; // work
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // +Infinity is the special case
+ if ((rhs->bits&(DECINF|DECNEG))==DECINF) {
+ decSetMaxValue(res, set); // is +ve
+ // there is no status to set
+ return res;
+ }
+ decNumberZero(&dtiny); // start with 0
+ dtiny.lsu[0]=1; // make number that is ..
+ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest
+ workset.round=DEC_ROUND_FLOOR;
+ decAddOp(res, rhs, &dtiny, &workset, DECNEG, &status);
+ status&=DEC_Invalid_operation|DEC_sNaN; // only sNaN Invalid please
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberNextMinus
+
+/* ------------------------------------------------------------------ */
+/* decNumberNextPlus -- next towards +Infinity */
+/* */
+/* This computes C = A + infinitesimal, rounded towards +Infinity */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* This is a generalization of 754 NextUp. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberNextPlus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dtiny; // constant
+ decContext workset=*set; // work
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // -Infinity is the special case
+ if ((rhs->bits&(DECINF|DECNEG))==(DECINF|DECNEG)) {
+ decSetMaxValue(res, set);
+ res->bits=DECNEG; // negative
+ // there is no status to set
+ return res;
+ }
+ decNumberZero(&dtiny); // start with 0
+ dtiny.lsu[0]=1; // make number that is ..
+ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest
+ workset.round=DEC_ROUND_CEILING;
+ decAddOp(res, rhs, &dtiny, &workset, 0, &status);
+ status&=DEC_Invalid_operation|DEC_sNaN; // only sNaN Invalid please
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberNextPlus
+
+/* ------------------------------------------------------------------ */
+/* decNumberNextToward -- next towards rhs */
+/* */
+/* This computes C = A +/- infinitesimal, rounded towards */
+/* +/-Infinity in the direction of B, as per 754-1985 nextafter */
+/* modified during revision but dropped from 754-2008. */
+/* */
+/* res is C, the result. C may be A or B. */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* This is a generalization of 754-1985 NextAfter. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberNextToward(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ decNumber dtiny; // constant
+ decContext workset=*set; // work
+ Int result; // ..
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) {
+ decNaNs(res, lhs, rhs, set, &status);
+ }
+ else { // Is numeric, so no chance of sNaN Invalid, etc.
+ result=decCompare(lhs, rhs, 0); // sign matters
+ if (result==BADINT) status|=DEC_Insufficient_storage; // rare
+ else { // valid compare
+ if (result==0) decNumberCopySign(res, lhs, rhs); // easy
+ else { // differ: need NextPlus or NextMinus
+ uByte sub; // add or subtract
+ if (result<0) { // lhs<rhs, do nextplus
+ // -Infinity is the special case
+ if ((lhs->bits&(DECINF|DECNEG))==(DECINF|DECNEG)) {
+ decSetMaxValue(res, set);
+ res->bits=DECNEG; // negative
+ return res; // there is no status to set
+ }
+ workset.round=DEC_ROUND_CEILING;
+ sub=0; // add, please
+ } // plus
+ else { // lhs>rhs, do nextminus
+ // +Infinity is the special case
+ if ((lhs->bits&(DECINF|DECNEG))==DECINF) {
+ decSetMaxValue(res, set);
+ return res; // there is no status to set
+ }
+ workset.round=DEC_ROUND_FLOOR;
+ sub=DECNEG; // subtract, please
+ } // minus
+ decNumberZero(&dtiny); // start with 0
+ dtiny.lsu[0]=1; // make number that is ..
+ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest
+ decAddOp(res, lhs, &dtiny, &workset, sub, &status); // + or -
+ // turn off exceptions if the result is a normal number
+ // (including Nmin), otherwise let all status through
+ if (decNumberIsNormal(res, set)) status=0;
+ } // unequal
+ } // compare OK
+ } // numeric
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberNextToward
+
+/* ------------------------------------------------------------------ */
+/* decNumberOr -- OR two Numbers, digitwise */
+/* */
+/* This computes C = A | B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X|X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberOr(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ const Unit *ua, *ub; // -> operands
+ const Unit *msua, *msub; // -> operand msus
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs)
+ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ // operands are valid
+ ua=lhs->lsu; // bottom-up
+ ub=rhs->lsu; // ..
+ uc=res->lsu; // ..
+ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs
+ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop
+ Unit a, b; // extract units
+ if (ua>msua) a=0;
+ else a=*ua;
+ if (ub>msub) b=0;
+ else b=*ub;
+ *uc=0; // can now write back
+ if (a|b) { // maybe 1 bits to examine
+ Int i, j;
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i<DECDPUN; i++) {
+ if ((a|b)&1) *uc=*uc+(Unit)powers[i]; // effect OR
+ j=a%10;
+ a=a/10;
+ j|=b%10;
+ b=b/10;
+ if (j>1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // non-zero
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberOr
+
+/* ------------------------------------------------------------------ */
+/* decNumberPlus -- prefix plus operator */
+/* */
+/* This computes C = 0 + A */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* See also decNumberCopy for a quiet bitwise version of this. */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This simply uses AddOp; Add will take fast path after preparing A. */
+/* Performance is a concern here, as this routine is often used to */
+/* check operands and apply rounding and overflow/underflow testing. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberPlus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dzero;
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ decNumberZero(&dzero); // make 0
+ dzero.exponent=rhs->exponent; // [no coefficient expansion]
+ decAddOp(res, &dzero, rhs, set, 0, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberPlus
+
+/* ------------------------------------------------------------------ */
+/* decNumberMultiply -- multiply two Numbers */
+/* */
+/* This computes C = A x B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X+X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMultiply(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decMultiplyOp(res, lhs, rhs, set, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMultiply
+
+/* ------------------------------------------------------------------ */
+/* decNumberPower -- raise a number to a power */
+/* */
+/* This computes C = A ** B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X**X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* However, if 1999999997<=B<=999999999 and B is an integer then the */
+/* restrictions on A and the context are relaxed to the usual bounds, */
+/* for compatibility with the earlier (integer power only) version */
+/* of this function. */
+/* */
+/* When B is an integer, the result may be exact, even if rounded. */
+/* */
+/* The final result is rounded according to the context; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberPower(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ decNumber *allocdac=NULL; // -> allocated acc buffer, iff used
+ decNumber *allocinv=NULL; // -> allocated 1/x buffer, iff used
+ Int reqdigits=set->digits; // requested DIGITS
+ Int n; // rhs in binary
+ Flag rhsint=0; // 1 if rhs is an integer
+ Flag useint=0; // 1 if can use integer calculation
+ Flag isoddint=0; // 1 if rhs is an integer and odd
+ Int i; // work
+ #if DECSUBSET
+ Int dropped; // ..
+ #endif
+ uInt needbytes; // buffer size needed
+ Flag seenbit; // seen a bit while powering
+ Int residue=0; // rounding residue
+ uInt status=0; // accumulators
+ uByte bits=0; // result sign if errors
+ decContext aset; // working context
+ decNumber dnOne; // work value 1...
+ // local accumulator buffer [a decNumber, with digits+elength+1 digits]
+ decNumber dacbuff[D2N(DECBUFFER+9)];
+ decNumber *dac=dacbuff; // -> result accumulator
+ // same again for possible 1/lhs calculation
+ decNumber invbuff[D2N(DECBUFFER+9)];
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) { // reduce operands and set status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, &status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // handle NaNs and rhs Infinity (lhs infinity is harder)
+ if (SPECIALARGS) {
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) { // NaNs
+ decNaNs(res, lhs, rhs, set, &status);
+ break;}
+ if (decNumberIsInfinite(rhs)) { // rhs Infinity
+ Flag rhsneg=rhs->bits&DECNEG; // save rhs sign
+ if (decNumberIsNegative(lhs) // lhs<0
+ && !decNumberIsZero(lhs)) // ..
+ status|=DEC_Invalid_operation;
+ else { // lhs >=0
+ decNumberZero(&dnOne); // set up 1
+ dnOne.lsu[0]=1;
+ decNumberCompare(dac, lhs, &dnOne, set); // lhs ? 1
+ decNumberZero(res); // prepare for 0/1/Infinity
+ if (decNumberIsNegative(dac)) { // lhs<1
+ if (rhsneg) res->bits|=DECINF; // +Infinity [else is +0]
+ }
+ else if (dac->lsu[0]==0) { // lhs=1
+ // 1**Infinity is inexact, so return fully-padded 1.0000
+ Int shift=set->digits-1;
+ *res->lsu=1; // was 0, make int 1
+ res->digits=decShiftToMost(res->lsu, 1, shift);
+ res->exponent=-shift; // make 1.0000...
+ status|=DEC_Inexact|DEC_Rounded; // deemed inexact
+ }
+ else { // lhs>1
+ if (!rhsneg) res->bits|=DECINF; // +Infinity [else is +0]
+ }
+ } // lhs>=0
+ break;}
+ // [lhs infinity drops through]
+ } // specials
+
+ // Original rhs may be an integer that fits and is in range
+ n=decGetInt(rhs);
+ if (n!=BADINT) { // it is an integer
+ rhsint=1; // record the fact for 1**n
+ isoddint=(Flag)n&1; // [works even if big]
+ if (n!=BIGEVEN && n!=BIGODD) // can use integer path?
+ useint=1; // looks good
+ }
+
+ if (decNumberIsNegative(lhs) // -x ..
+ && isoddint) bits=DECNEG; // .. to an odd power
+
+ // handle LHS infinity
+ if (decNumberIsInfinite(lhs)) { // [NaNs already handled]
+ uByte rbits=rhs->bits; // save
+ decNumberZero(res); // prepare
+ if (n==0) *res->lsu=1; // [-]Inf**0 => 1
+ else {
+ // -Inf**nonint -> error
+ if (!rhsint && decNumberIsNegative(lhs)) {
+ status|=DEC_Invalid_operation; // -Inf**nonint is error
+ break;}
+ if (!(rbits & DECNEG)) bits|=DECINF; // was not a **-n
+ // [otherwise will be 0 or -0]
+ res->bits=bits;
+ }
+ break;}
+
+ // similarly handle LHS zero
+ if (decNumberIsZero(lhs)) {
+ if (n==0) { // 0**0 => Error
+ #if DECSUBSET
+ if (!set->extended) { // [unless subset]
+ decNumberZero(res);
+ *res->lsu=1; // return 1
+ break;}
+ #endif
+ status|=DEC_Invalid_operation;
+ }
+ else { // 0**x
+ uByte rbits=rhs->bits; // save
+ if (rbits & DECNEG) { // was a 0**(-n)
+ #if DECSUBSET
+ if (!set->extended) { // [bad if subset]
+ status|=DEC_Invalid_operation;
+ break;}
+ #endif
+ bits|=DECINF;
+ }
+ decNumberZero(res); // prepare
+ // [otherwise will be 0 or -0]
+ res->bits=bits;
+ }
+ break;}
+
+ // here both lhs and rhs are finite; rhs==0 is handled in the
+ // integer path. Next handle the non-integer cases
+ if (!useint) { // non-integral rhs
+ // any -ve lhs is bad, as is either operand or context out of
+ // bounds
+ if (decNumberIsNegative(lhs)) {
+ status|=DEC_Invalid_operation;
+ break;}
+ if (decCheckMath(lhs, set, &status)
+ || decCheckMath(rhs, set, &status)) break; // variable status
+
+ decContextDefault(&aset, DEC_INIT_DECIMAL64); // clean context
+ aset.emax=DEC_MAX_MATH; // usual bounds
+ aset.emin=-DEC_MAX_MATH; // ..
+ aset.clamp=0; // and no concrete format
+
+ // calculate the result using exp(ln(lhs)*rhs), which can
+ // all be done into the accumulator, dac. The precision needed
+ // is enough to contain the full information in the lhs (which
+ // is the total digits, including exponent), or the requested
+ // precision, if larger, + 4; 6 is used for the exponent
+ // maximum length, and this is also used when it is shorter
+ // than the requested digits as it greatly reduces the >0.5 ulp
+ // cases at little cost (because Ln doubles digits each
+ // iteration so a few extra digits rarely causes an extra
+ // iteration)
+ aset.digits=MAXI(lhs->digits, set->digits)+6+4;
+ } // non-integer rhs
+
+ else { // rhs is in-range integer
+ if (n==0) { // x**0 = 1
+ // (0**0 was handled above)
+ decNumberZero(res); // result=1
+ *res->lsu=1; // ..
+ break;}
+ // rhs is a non-zero integer
+ if (n<0) n=-n; // use abs(n)
+
+ aset=*set; // clone the context
+ aset.round=DEC_ROUND_HALF_EVEN; // internally use balanced
+ // calculate the working DIGITS
+ aset.digits=reqdigits+(rhs->digits+rhs->exponent)+2;
+ #if DECSUBSET
+ if (!set->extended) aset.digits--; // use classic precision
+ #endif
+ // it's an error if this is more than can be handled
+ if (aset.digits>DECNUMMAXP) {status|=DEC_Invalid_operation; break;}
+ } // integer path
+
+ // aset.digits is the count of digits for the accumulator needed
+ // if accumulator is too long for local storage, then allocate
+ needbytes=sizeof(decNumber)+(D2U(aset.digits)-1)*sizeof(Unit);
+ // [needbytes also used below if 1/lhs needed]
+ if (needbytes>sizeof(dacbuff)) {
+ allocdac=(decNumber *)malloc(needbytes);
+ if (allocdac==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ dac=allocdac; // use the allocated space
+ }
+ // here, aset is set up and accumulator is ready for use
+
+ if (!useint) { // non-integral rhs
+ // x ** y; special-case x=1 here as it will otherwise always
+ // reduce to integer 1; decLnOp has a fastpath which detects
+ // the case of x=1
+ decLnOp(dac, lhs, &aset, &status); // dac=ln(lhs)
+ // [no error possible, as lhs 0 already handled]
+ if (ISZERO(dac)) { // x==1, 1.0, etc.
+ // need to return fully-padded 1.0000 etc., but rhsint->1
+ *dac->lsu=1; // was 0, make int 1
+ if (!rhsint) { // add padding
+ Int shift=set->digits-1;
+ dac->digits=decShiftToMost(dac->lsu, 1, shift);
+ dac->exponent=-shift; // make 1.0000...
+ status|=DEC_Inexact|DEC_Rounded; // deemed inexact
+ }
+ }
+ else {
+ decMultiplyOp(dac, dac, rhs, &aset, &status); // dac=dac*rhs
+ decExpOp(dac, dac, &aset, &status); // dac=exp(dac)
+ }
+ // and drop through for final rounding
+ } // non-integer rhs
+
+ else { // carry on with integer
+ decNumberZero(dac); // acc=1
+ *dac->lsu=1; // ..
+
+ // if a negative power the constant 1 is needed, and if not subset
+ // invert the lhs now rather than inverting the result later
+ if (decNumberIsNegative(rhs)) { // was a **-n [hence digits>0]
+ decNumber *inv=invbuff; // asssume use fixed buffer
+ decNumberCopy(&dnOne, dac); // dnOne=1; [needed now or later]
+ #if DECSUBSET
+ if (set->extended) { // need to calculate 1/lhs
+ #endif
+ // divide lhs into 1, putting result in dac [dac=1/dac]
+ decDivideOp(dac, &dnOne, lhs, &aset, DIVIDE, &status);
+ // now locate or allocate space for the inverted lhs
+ if (needbytes>sizeof(invbuff)) {
+ allocinv=(decNumber *)malloc(needbytes);
+ if (allocinv==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ inv=allocinv; // use the allocated space
+ }
+ // [inv now points to big-enough buffer or allocated storage]
+ decNumberCopy(inv, dac); // copy the 1/lhs
+ decNumberCopy(dac, &dnOne); // restore acc=1
+ lhs=inv; // .. and go forward with new lhs
+ #if DECSUBSET
+ }
+ #endif
+ }
+
+ // Raise-to-the-power loop...
+ seenbit=0; // set once a 1-bit is encountered
+ for (i=1;;i++){ // for each bit [top bit ignored]
+ // abandon if had overflow or terminal underflow
+ if (status & (DEC_Overflow|DEC_Underflow)) { // interesting?
+ if (status&DEC_Overflow || ISZERO(dac)) break;
+ }
+ // [the following two lines revealed an optimizer bug in a C++
+ // compiler, with symptom: 5**3 -> 25, when n=n+n was used]
+ n=n<<1; // move next bit to testable position
+ if (n<0) { // top bit is set
+ seenbit=1; // OK, significant bit seen
+ decMultiplyOp(dac, dac, lhs, &aset, &status); // dac=dac*x
+ }
+ if (i==31) break; // that was the last bit
+ if (!seenbit) continue; // no need to square 1
+ decMultiplyOp(dac, dac, dac, &aset, &status); // dac=dac*dac [square]
+ } /*i*/ // 32 bits
+
+ // complete internal overflow or underflow processing
+ if (status & (DEC_Overflow|DEC_Underflow)) {
+ #if DECSUBSET
+ // If subset, and power was negative, reverse the kind of -erflow
+ // [1/x not yet done]
+ if (!set->extended && decNumberIsNegative(rhs)) {
+ if (status & DEC_Overflow)
+ status^=DEC_Overflow | DEC_Underflow | DEC_Subnormal;
+ else { // trickier -- Underflow may or may not be set
+ status&=~(DEC_Underflow | DEC_Subnormal); // [one or both]
+ status|=DEC_Overflow;
+ }
+ }
+ #endif
+ dac->bits=(dac->bits & ~DECNEG) | bits; // force correct sign
+ // round subnormals [to set.digits rather than aset.digits]
+ // or set overflow result similarly as required
+ decFinalize(dac, set, &residue, &status);
+ decNumberCopy(res, dac); // copy to result (is now OK length)
+ break;
+ }
+
+ #if DECSUBSET
+ if (!set->extended && // subset math
+ decNumberIsNegative(rhs)) { // was a **-n [hence digits>0]
+ // so divide result into 1 [dac=1/dac]
+ decDivideOp(dac, &dnOne, dac, &aset, DIVIDE, &status);
+ }
+ #endif
+ } // rhs integer path
+
+ // reduce result to the requested length and copy to result
+ decCopyFit(res, dac, set, &residue, &status);
+ decFinish(res, set, &residue, &status); // final cleanup
+ #if DECSUBSET
+ if (!set->extended) decTrim(res, set, 0, 1, &dropped); // trailing zeros
+ #endif
+ } while(0); // end protected
+
+ if (allocdac!=NULL) free(allocdac); // drop any storage used
+ if (allocinv!=NULL) free(allocinv); // ..
+ #if DECSUBSET
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ #endif
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberPower
+
+/* ------------------------------------------------------------------ */
+/* decNumberQuantize -- force exponent to requested value */
+/* */
+/* This computes C = op(A, B), where op adjusts the coefficient */
+/* of C (by rounding or shifting) such that the exponent (-scale) */
+/* of C has exponent of B. The numerical value of C will equal A, */
+/* except for the effects of any rounding that occurred. */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the number with exponent to match */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* after the operation is guaranteed to be equal to that of B. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberQuantize(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decQuantizeOp(res, lhs, rhs, set, 1, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberQuantize
+
+/* ------------------------------------------------------------------ */
+/* decNumberReduce -- remove trailing zeros */
+/* */
+/* This computes C = 0 + A, and normalizes the result */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+// Previously known as Normalize
+decNumber * decNumberNormalize(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ return decNumberReduce(res, rhs, set);
+ } // decNumberNormalize
+
+decNumber * decNumberReduce(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+ uInt status=0; // as usual
+ Int residue=0; // as usual
+ Int dropped; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // Infinities copy through; NaNs need usual treatment
+ if (decNumberIsNaN(rhs)) {
+ decNaNs(res, rhs, NULL, set, &status);
+ break;
+ }
+
+ // reduce result to the requested length and copy to result
+ decCopyFit(res, rhs, set, &residue, &status); // copy & round
+ decFinish(res, set, &residue, &status); // cleanup/set flags
+ decTrim(res, set, 1, 0, &dropped); // normalize in place
+ // [may clamp]
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // ..
+ #endif
+ if (status!=0) decStatus(res, status, set);// then report status
+ return res;
+ } // decNumberReduce
+
+/* ------------------------------------------------------------------ */
+/* decNumberRescale -- force exponent to requested value */
+/* */
+/* This computes C = op(A, B), where op adjusts the coefficient */
+/* of C (by rounding or shifting) such that the exponent (-scale) */
+/* of C has the value B. The numerical value of C will equal A, */
+/* except for the effects of any rounding that occurred. */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the requested exponent */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* after the operation is guaranteed to be equal to B. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRescale(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decQuantizeOp(res, lhs, rhs, set, 0, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberRescale
+
+/* ------------------------------------------------------------------ */
+/* decNumberRemainder -- divide and return remainder */
+/* */
+/* This computes C = A % B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X%X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRemainder(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, REMAINDER, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberRemainder
+
+/* ------------------------------------------------------------------ */
+/* decNumberRemainderNear -- divide and return remainder from nearest */
+/* */
+/* This computes C = A % B, where % is the IEEE remainder operator */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X%X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRemainderNear(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, REMNEAR, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberRemainderNear
+
+/* ------------------------------------------------------------------ */
+/* decNumberRotate -- rotate the coefficient of a Number left/right */
+/* */
+/* This computes C = A rot B (in base ten and rotating set->digits */
+/* digits). */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=XrotX) */
+/* lhs is A */
+/* rhs is B, the number of digits to rotate (-ve to right) */
+/* set is the context */
+/* */
+/* The digits of the coefficient of A are rotated to the left (if B */
+/* is positive) or to the right (if B is negative) without adjusting */
+/* the exponent or the sign of A. If lhs->digits is less than */
+/* set->digits the coefficient is padded with zeros on the left */
+/* before the rotate. Any leading zeros in the result are removed */
+/* as usual. */
+/* */
+/* B must be an integer (q=0) and in the range -set->digits through */
+/* +set->digits. */
+/* C must have space for set->digits digits. */
+/* NaNs are propagated as usual. Infinities are unaffected (but */
+/* B must be valid). No status is set unless B is invalid or an */
+/* operand is an sNaN. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRotate(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ Int rotate; // rhs as an Int
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // NaNs propagate as normal
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs))
+ decNaNs(res, lhs, rhs, set, &status);
+ // rhs must be an integer
+ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0)
+ status=DEC_Invalid_operation;
+ else { // both numeric, rhs is an integer
+ rotate=decGetInt(rhs); // [cannot fail]
+ if (rotate==BADINT // something bad ..
+ || rotate==BIGODD || rotate==BIGEVEN // .. very big ..
+ || abs(rotate)>set->digits) // .. or out of range
+ status=DEC_Invalid_operation;
+ else { // rhs is OK
+ decNumberCopy(res, lhs);
+ // convert -ve rotate to equivalent positive rotation
+ if (rotate<0) rotate=set->digits+rotate;
+ if (rotate!=0 && rotate!=set->digits // zero or full rotation
+ && !decNumberIsInfinite(res)) { // lhs was infinite
+ // left-rotate to do; 0 < rotate < set->digits
+ uInt units, shift; // work
+ uInt msudigits; // digits in result msu
+ Unit *msu=res->lsu+D2U(res->digits)-1; // current msu
+ Unit *msumax=res->lsu+D2U(set->digits)-1; // rotation msu
+ for (msu++; msu<=msumax; msu++) *msu=0; // ensure high units=0
+ res->digits=set->digits; // now full-length
+ msudigits=MSUDIGITS(res->digits); // actual digits in msu
+
+ // rotation here is done in-place, in three steps
+ // 1. shift all to least up to one unit to unit-align final
+ // lsd [any digits shifted out are rotated to the left,
+ // abutted to the original msd (which may require split)]
+ //
+ // [if there are no whole units left to rotate, the
+ // rotation is now complete]
+ //
+ // 2. shift to least, from below the split point only, so that
+ // the final msd is in the right place in its Unit [any
+ // digits shifted out will fit exactly in the current msu,
+ // left aligned, no split required]
+ //
+ // 3. rotate all the units by reversing left part, right
+ // part, and then whole
+ //
+ // example: rotate right 8 digits (2 units + 2), DECDPUN=3.
+ //
+ // start: 00a bcd efg hij klm npq
+ //
+ // 1a 000 0ab cde fgh|ijk lmn [pq saved]
+ // 1b 00p qab cde fgh|ijk lmn
+ //
+ // 2a 00p qab cde fgh|00i jkl [mn saved]
+ // 2b mnp qab cde fgh|00i jkl
+ //
+ // 3a fgh cde qab mnp|00i jkl
+ // 3b fgh cde qab mnp|jkl 00i
+ // 3c 00i jkl mnp qab cde fgh
+
+ // Step 1: amount to shift is the partial right-rotate count
+ rotate=set->digits-rotate; // make it right-rotate
+ units=rotate/DECDPUN; // whole units to rotate
+ shift=rotate%DECDPUN; // left-over digits count
+ if (shift>0) { // not an exact number of units
+ uInt save=res->lsu[0]%powers[shift]; // save low digit(s)
+ decShiftToLeast(res->lsu, D2U(res->digits), shift);
+ if (shift>msudigits) { // msumax-1 needs >0 digits
+ uInt rem=save%powers[shift-msudigits];// split save
+ *msumax=(Unit)(save/powers[shift-msudigits]); // and insert
+ *(msumax-1)=*(msumax-1)
+ +(Unit)(rem*powers[DECDPUN-(shift-msudigits)]); // ..
+ }
+ else { // all fits in msumax
+ *msumax=*msumax+(Unit)(save*powers[msudigits-shift]); // [maybe *1]
+ }
+ } // digits shift needed
+
+ // If whole units to rotate...
+ if (units>0) { // some to do
+ // Step 2: the units to touch are the whole ones in rotate,
+ // if any, and the shift is DECDPUN-msudigits (which may be
+ // 0, again)
+ shift=DECDPUN-msudigits;
+ if (shift>0) { // not an exact number of units
+ uInt save=res->lsu[0]%powers[shift]; // save low digit(s)
+ decShiftToLeast(res->lsu, units, shift);
+ *msumax=*msumax+(Unit)(save*powers[msudigits]);
+ } // partial shift needed
+
+ // Step 3: rotate the units array using triple reverse
+ // (reversing is easy and fast)
+ decReverse(res->lsu+units, msumax); // left part
+ decReverse(res->lsu, res->lsu+units-1); // right part
+ decReverse(res->lsu, msumax); // whole
+ } // whole units to rotate
+ // the rotation may have left an undetermined number of zeros
+ // on the left, so true length needs to be calculated
+ res->digits=decGetDigits(res->lsu, msumax-res->lsu+1);
+ } // rotate needed
+ } // rhs OK
+ } // numerics
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberRotate
+
+/* ------------------------------------------------------------------ */
+/* decNumberSameQuantum -- test for equal exponents */
+/* */
+/* res is the result number, which will contain either 0 or 1 */
+/* lhs is a number to test */
+/* rhs is the second (usually a pattern) */
+/* */
+/* No errors are possible and no context is needed. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSameQuantum(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs) {
+ Unit ret=0; // return value
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, DECUNCONT)) return res;
+ #endif
+
+ if (SPECIALARGS) {
+ if (decNumberIsNaN(lhs) && decNumberIsNaN(rhs)) ret=1;
+ else if (decNumberIsInfinite(lhs) && decNumberIsInfinite(rhs)) ret=1;
+ // [anything else with a special gives 0]
+ }
+ else if (lhs->exponent==rhs->exponent) ret=1;
+
+ decNumberZero(res); // OK to overwrite an operand now
+ *res->lsu=ret;
+ return res;
+ } // decNumberSameQuantum
+
+/* ------------------------------------------------------------------ */
+/* decNumberScaleB -- multiply by a power of 10 */
+/* */
+/* This computes C = A x 10**B where B is an integer (q=0) with */
+/* maximum magnitude 2*(emax+digits) */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the requested power of ten to use */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* The result may underflow or overflow. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberScaleB(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ Int reqexp; // requested exponent change [B]
+ uInt status=0; // accumulator
+ Int residue; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // Handle special values except lhs infinite
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs))
+ decNaNs(res, lhs, rhs, set, &status);
+ // rhs must be an integer
+ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0)
+ status=DEC_Invalid_operation;
+ else {
+ // lhs is a number; rhs is a finite with q==0
+ reqexp=decGetInt(rhs); // [cannot fail]
+ // maximum range is larger than getInt can handle, so this is
+ // more restrictive than the specification
+ if (reqexp==BADINT // something bad ..
+ || reqexp==BIGODD || reqexp==BIGEVEN // it was huge
+ || (abs(reqexp)+1)/2>(set->digits+set->emax)) // .. or out of range
+ status=DEC_Invalid_operation;
+ else { // rhs is OK
+ decNumberCopy(res, lhs); // all done if infinite lhs
+ if (!decNumberIsInfinite(res)) { // prepare to scale
+ Int exp=res->exponent; // save for overflow test
+ res->exponent+=reqexp; // adjust the exponent
+ if (((exp^reqexp)>=0) // same sign ...
+ && ((exp^res->exponent)<0)) { // .. but result had different
+ // the calculation overflowed, so force right treatment
+ if (exp<0) res->exponent=DEC_MIN_EMIN-DEC_MAX_DIGITS;
+ else res->exponent=DEC_MAX_EMAX+1;
+ }
+ residue=0;
+ decFinalize(res, set, &residue, &status); // final check
+ } // finite LHS
+ } // rhs OK
+ } // rhs finite
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberScaleB
+
+/* ------------------------------------------------------------------ */
+/* decNumberShift -- shift the coefficient of a Number left or right */
+/* */
+/* This computes C = A << B or C = A >> -B (in base ten). */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X<<X) */
+/* lhs is A */
+/* rhs is B, the number of digits to shift (-ve to right) */
+/* set is the context */
+/* */
+/* The digits of the coefficient of A are shifted to the left (if B */
+/* is positive) or to the right (if B is negative) without adjusting */
+/* the exponent or the sign of A. */
+/* */
+/* B must be an integer (q=0) and in the range -set->digits through */
+/* +set->digits. */
+/* C must have space for set->digits digits. */
+/* NaNs are propagated as usual. Infinities are unaffected (but */
+/* B must be valid). No status is set unless B is invalid or an */
+/* operand is an sNaN. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberShift(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ Int shift; // rhs as an Int
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // NaNs propagate as normal
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs))
+ decNaNs(res, lhs, rhs, set, &status);
+ // rhs must be an integer
+ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0)
+ status=DEC_Invalid_operation;
+ else { // both numeric, rhs is an integer
+ shift=decGetInt(rhs); // [cannot fail]
+ if (shift==BADINT // something bad ..
+ || shift==BIGODD || shift==BIGEVEN // .. very big ..
+ || abs(shift)>set->digits) // .. or out of range
+ status=DEC_Invalid_operation;
+ else { // rhs is OK
+ decNumberCopy(res, lhs);
+ if (shift!=0 && !decNumberIsInfinite(res)) { // something to do
+ if (shift>0) { // to left
+ if (shift==set->digits) { // removing all
+ *res->lsu=0; // so place 0
+ res->digits=1; // ..
+ }
+ else { //
+ // first remove leading digits if necessary
+ if (res->digits+shift>set->digits) {
+ decDecap(res, res->digits+shift-set->digits);
+ // that updated res->digits; may have gone to 1 (for a
+ // single digit or for zero
+ }
+ if (res->digits>1 || *res->lsu) // if non-zero..
+ res->digits=decShiftToMost(res->lsu, res->digits, shift);
+ } // partial left
+ } // left
+ else { // to right
+ if (-shift>=res->digits) { // discarding all
+ *res->lsu=0; // so place 0
+ res->digits=1; // ..
+ }
+ else {
+ decShiftToLeast(res->lsu, D2U(res->digits), -shift);
+ res->digits-=(-shift);
+ }
+ } // to right
+ } // non-0 non-Inf shift
+ } // rhs OK
+ } // numerics
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberShift
+
+/* ------------------------------------------------------------------ */
+/* decNumberSquareRoot -- square root operator */
+/* */
+/* This computes C = squareroot(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This uses the following varying-precision algorithm in: */
+/* */
+/* Properly Rounded Variable Precision Square Root, T. E. Hull and */
+/* A. Abrham, ACM Transactions on Mathematical Software, Vol 11 #3, */
+/* pp229-237, ACM, September 1985. */
+/* */
+/* The square-root is calculated using Newton's method, after which */
+/* a check is made to ensure the result is correctly rounded. */
+/* */
+/* % [Reformatted original Numerical Turing source code follows.] */
+/* function sqrt(x : real) : real */
+/* % sqrt(x) returns the properly rounded approximation to the square */
+/* % root of x, in the precision of the calling environment, or it */
+/* % fails if x < 0. */
+/* % t e hull and a abrham, august, 1984 */
+/* if x <= 0 then */
+/* if x < 0 then */
+/* assert false */
+/* else */
+/* result 0 */
+/* end if */
+/* end if */
+/* var f := setexp(x, 0) % fraction part of x [0.1 <= x < 1] */
+/* var e := getexp(x) % exponent part of x */
+/* var approx : real */
+/* if e mod 2 = 0 then */
+/* approx := .259 + .819 * f % approx to root of f */
+/* else */
+/* f := f/l0 % adjustments */
+/* e := e + 1 % for odd */
+/* approx := .0819 + 2.59 * f % exponent */
+/* end if */
+/* */
+/* var p:= 3 */
+/* const maxp := currentprecision + 2 */
+/* loop */
+/* p := min(2*p - 2, maxp) % p = 4,6,10, . . . , maxp */
+/* precision p */
+/* approx := .5 * (approx + f/approx) */
+/* exit when p = maxp */
+/* end loop */
+/* */
+/* % approx is now within 1 ulp of the properly rounded square root */
+/* % of f; to ensure proper rounding, compare squares of (approx - */
+/* % l/2 ulp) and (approx + l/2 ulp) with f. */
+/* p := currentprecision */
+/* begin */
+/* precision p + 2 */
+/* const approxsubhalf := approx - setexp(.5, -p) */
+/* if mulru(approxsubhalf, approxsubhalf) > f then */
+/* approx := approx - setexp(.l, -p + 1) */
+/* else */
+/* const approxaddhalf := approx + setexp(.5, -p) */
+/* if mulrd(approxaddhalf, approxaddhalf) < f then */
+/* approx := approx + setexp(.l, -p + 1) */
+/* end if */
+/* end if */
+/* end */
+/* result setexp(approx, e div 2) % fix exponent */
+/* end sqrt */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSquareRoot(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decContext workset, approxset; // work contexts
+ decNumber dzero; // used for constant zero
+ Int maxp; // largest working precision
+ Int workp; // working precision
+ Int residue=0; // rounding residue
+ uInt status=0, ignore=0; // status accumulators
+ uInt rstatus; // ..
+ Int exp; // working exponent
+ Int ideal; // ideal (preferred) exponent
+ Int needbytes; // work
+ Int dropped; // ..
+
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+ // buffer for f [needs +1 in case DECBUFFER 0]
+ decNumber buff[D2N(DECBUFFER+1)];
+ // buffer for a [needs +2 to match likely maxp]
+ decNumber bufa[D2N(DECBUFFER+2)];
+ // buffer for temporary, b [must be same size as a]
+ decNumber bufb[D2N(DECBUFFER+2)];
+ decNumber *allocbuff=NULL; // -> allocated buff, iff allocated
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated
+ decNumber *f=buff; // reduced fraction
+ decNumber *a=bufa; // approximation to result
+ decNumber *b=bufb; // intermediate result
+ // buffer for temporary variable, up to 3 digits
+ decNumber buft[D2N(3)];
+ decNumber *t=buft; // up-to-3-digit constant or work
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ // [Note: 'f' allocation below could reuse this buffer if
+ // used, but as this is rare they are kept separate for clarity.]
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // handle infinities and NaNs
+ if (SPECIALARG) {
+ if (decNumberIsInfinite(rhs)) { // an infinity
+ if (decNumberIsNegative(rhs)) status|=DEC_Invalid_operation;
+ else decNumberCopy(res, rhs); // +Infinity
+ }
+ else decNaNs(res, rhs, NULL, set, &status); // a NaN
+ break;
+ }
+
+ // calculate the ideal (preferred) exponent [floor(exp/2)]
+ // [It would be nicer to write: ideal=rhs->exponent>>1, but this
+ // generates a compiler warning. Generated code is the same.]
+ ideal=(rhs->exponent&~1)/2; // target
+
+ // handle zeros
+ if (ISZERO(rhs)) {
+ decNumberCopy(res, rhs); // could be 0 or -0
+ res->exponent=ideal; // use the ideal [safe]
+ // use decFinish to clamp any out-of-range exponent, etc.
+ decFinish(res, set, &residue, &status);
+ break;
+ }
+
+ // any other -x is an oops
+ if (decNumberIsNegative(rhs)) {
+ status|=DEC_Invalid_operation;
+ break;
+ }
+
+ // space is needed for three working variables
+ // f -- the same precision as the RHS, reduced to 0.01->0.99...
+ // a -- Hull's approximation -- precision, when assigned, is
+ // currentprecision+1 or the input argument precision,
+ // whichever is larger (+2 for use as temporary)
+ // b -- intermediate temporary result (same size as a)
+ // if any is too long for local storage, then allocate
+ workp=MAXI(set->digits+1, rhs->digits); // actual rounding precision
+ workp=MAXI(workp, 7); // at least 7 for low cases
+ maxp=workp+2; // largest working precision
+
+ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit);
+ if (needbytes>(Int)sizeof(buff)) {
+ allocbuff=(decNumber *)malloc(needbytes);
+ if (allocbuff==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ f=allocbuff; // use the allocated space
+ }
+ // a and b both need to be able to hold a maxp-length number
+ needbytes=sizeof(decNumber)+(D2U(maxp)-1)*sizeof(Unit);
+ if (needbytes>(Int)sizeof(bufa)) { // [same applies to b]
+ allocbufa=(decNumber *)malloc(needbytes);
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL || allocbufb==NULL) { // hopeless
+ status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated spaces
+ b=allocbufb; // ..
+ }
+
+ // copy rhs -> f, save exponent, and reduce so 0.1 <= f < 1
+ decNumberCopy(f, rhs);
+ exp=f->exponent+f->digits; // adjusted to Hull rules
+ f->exponent=-(f->digits); // to range
+
+ // set up working context
+ decContextDefault(&workset, DEC_INIT_DECIMAL64);
+ workset.emax=DEC_MAX_EMAX;
+ workset.emin=DEC_MIN_EMIN;
+
+ // [Until further notice, no error is possible and status bits
+ // (Rounded, etc.) should be ignored, not accumulated.]
+
+ // Calculate initial approximation, and allow for odd exponent
+ workset.digits=workp; // p for initial calculation
+ t->bits=0; t->digits=3;
+ a->bits=0; a->digits=3;
+ if ((exp & 1)==0) { // even exponent
+ // Set t=0.259, a=0.819
+ t->exponent=-3;
+ a->exponent=-3;
+ #if DECDPUN>=3
+ t->lsu[0]=259;
+ a->lsu[0]=819;
+ #elif DECDPUN==2
+ t->lsu[0]=59; t->lsu[1]=2;
+ a->lsu[0]=19; a->lsu[1]=8;
+ #else
+ t->lsu[0]=9; t->lsu[1]=5; t->lsu[2]=2;
+ a->lsu[0]=9; a->lsu[1]=1; a->lsu[2]=8;
+ #endif
+ }
+ else { // odd exponent
+ // Set t=0.0819, a=2.59
+ f->exponent--; // f=f/10
+ exp++; // e=e+1
+ t->exponent=-4;
+ a->exponent=-2;
+ #if DECDPUN>=3
+ t->lsu[0]=819;
+ a->lsu[0]=259;
+ #elif DECDPUN==2
+ t->lsu[0]=19; t->lsu[1]=8;
+ a->lsu[0]=59; a->lsu[1]=2;
+ #else
+ t->lsu[0]=9; t->lsu[1]=1; t->lsu[2]=8;
+ a->lsu[0]=9; a->lsu[1]=5; a->lsu[2]=2;
+ #endif
+ }
+
+ decMultiplyOp(a, a, f, &workset, &ignore); // a=a*f
+ decAddOp(a, a, t, &workset, 0, &ignore); // ..+t
+ // [a is now the initial approximation for sqrt(f), calculated with
+ // currentprecision, which is also a's precision.]
+
+ // the main calculation loop
+ decNumberZero(&dzero); // make 0
+ decNumberZero(t); // set t = 0.5
+ t->lsu[0]=5; // ..
+ t->exponent=-1; // ..
+ workset.digits=3; // initial p
+ for (; workset.digits<maxp;) {
+ // set p to min(2*p - 2, maxp) [hence 3; or: 4, 6, 10, ... , maxp]
+ workset.digits=MINI(workset.digits*2-2, maxp);
+ // a = 0.5 * (a + f/a)
+ // [calculated at p then rounded to currentprecision]
+ decDivideOp(b, f, a, &workset, DIVIDE, &ignore); // b=f/a
+ decAddOp(b, b, a, &workset, 0, &ignore); // b=b+a
+ decMultiplyOp(a, b, t, &workset, &ignore); // a=b*0.5
+ } // loop
+
+ // Here, 0.1 <= a < 1 [Hull], and a has maxp digits
+ // now reduce to length, etc.; this needs to be done with a
+ // having the correct exponent so as to handle subnormals
+ // correctly
+ approxset=*set; // get emin, emax, etc.
+ approxset.round=DEC_ROUND_HALF_EVEN;
+ a->exponent+=exp/2; // set correct exponent
+ rstatus=0; // clear status
+ residue=0; // .. and accumulator
+ decCopyFit(a, a, &approxset, &residue, &rstatus); // reduce (if needed)
+ decFinish(a, &approxset, &residue, &rstatus); // clean and finalize
+
+ // Overflow was possible if the input exponent was out-of-range,
+ // in which case quit
+ if (rstatus&DEC_Overflow) {
+ status=rstatus; // use the status as-is
+ decNumberCopy(res, a); // copy to result
+ break;
+ }
+
+ // Preserve status except Inexact/Rounded
+ status|=(rstatus & ~(DEC_Rounded|DEC_Inexact));
+
+ // Carry out the Hull correction
+ a->exponent-=exp/2; // back to 0.1->1
+
+ // a is now at final precision and within 1 ulp of the properly
+ // rounded square root of f; to ensure proper rounding, compare
+ // squares of (a - l/2 ulp) and (a + l/2 ulp) with f.
+ // Here workset.digits=maxp and t=0.5, and a->digits determines
+ // the ulp
+ workset.digits--; // maxp-1 is OK now
+ t->exponent=-a->digits-1; // make 0.5 ulp
+ decAddOp(b, a, t, &workset, DECNEG, &ignore); // b = a - 0.5 ulp
+ workset.round=DEC_ROUND_UP;
+ decMultiplyOp(b, b, b, &workset, &ignore); // b = mulru(b, b)
+ decCompareOp(b, f, b, &workset, COMPARE, &ignore); // b ? f, reversed
+ if (decNumberIsNegative(b)) { // f < b [i.e., b > f]
+ // this is the more common adjustment, though both are rare
+ t->exponent++; // make 1.0 ulp
+ t->lsu[0]=1; // ..
+ decAddOp(a, a, t, &workset, DECNEG, &ignore); // a = a - 1 ulp
+ // assign to approx [round to length]
+ approxset.emin-=exp/2; // adjust to match a
+ approxset.emax-=exp/2;
+ decAddOp(a, &dzero, a, &approxset, 0, &ignore);
+ }
+ else {
+ decAddOp(b, a, t, &workset, 0, &ignore); // b = a + 0.5 ulp
+ workset.round=DEC_ROUND_DOWN;
+ decMultiplyOp(b, b, b, &workset, &ignore); // b = mulrd(b, b)
+ decCompareOp(b, b, f, &workset, COMPARE, &ignore); // b ? f
+ if (decNumberIsNegative(b)) { // b < f
+ t->exponent++; // make 1.0 ulp
+ t->lsu[0]=1; // ..
+ decAddOp(a, a, t, &workset, 0, &ignore); // a = a + 1 ulp
+ // assign to approx [round to length]
+ approxset.emin-=exp/2; // adjust to match a
+ approxset.emax-=exp/2;
+ decAddOp(a, &dzero, a, &approxset, 0, &ignore);
+ }
+ }
+ // [no errors are possible in the above, and rounding/inexact during
+ // estimation are irrelevant, so status was not accumulated]
+
+ // Here, 0.1 <= a < 1 (still), so adjust back
+ a->exponent+=exp/2; // set correct exponent
+
+ // count droppable zeros [after any subnormal rounding] by
+ // trimming a copy
+ decNumberCopy(b, a);
+ decTrim(b, set, 1, 1, &dropped); // [drops trailing zeros]
+
+ // Set Inexact and Rounded. The answer can only be exact if
+ // it is short enough so that squaring it could fit in workp
+ // digits, so this is the only (relatively rare) condition that
+ // a careful check is needed
+ if (b->digits*2-1 > workp) { // cannot fit
+ status|=DEC_Inexact|DEC_Rounded;
+ }
+ else { // could be exact/unrounded
+ uInt mstatus=0; // local status
+ decMultiplyOp(b, b, b, &workset, &mstatus); // try the multiply
+ if (mstatus&DEC_Overflow) { // result just won't fit
+ status|=DEC_Inexact|DEC_Rounded;
+ }
+ else { // plausible
+ decCompareOp(t, b, rhs, &workset, COMPARE, &mstatus); // b ? rhs
+ if (!ISZERO(t)) status|=DEC_Inexact|DEC_Rounded; // not equal
+ else { // is Exact
+ // here, dropped is the count of trailing zeros in 'a'
+ // use closest exponent to ideal...
+ Int todrop=ideal-a->exponent; // most that can be dropped
+ if (todrop<0) status|=DEC_Rounded; // ideally would add 0s
+ else { // unrounded
+ // there are some to drop, but emax may not allow all
+ Int maxexp=set->emax-set->digits+1;
+ Int maxdrop=maxexp-a->exponent;
+ if (todrop>maxdrop && set->clamp) { // apply clamping
+ todrop=maxdrop;
+ status|=DEC_Clamped;
+ }
+ if (dropped<todrop) { // clamp to those available
+ todrop=dropped;
+ status|=DEC_Clamped;
+ }
+ if (todrop>0) { // have some to drop
+ decShiftToLeast(a->lsu, D2U(a->digits), todrop);
+ a->exponent+=todrop; // maintain numerical value
+ a->digits-=todrop; // new length
+ }
+ }
+ }
+ }
+ }
+
+ // double-check Underflow, as perhaps the result could not have
+ // been subnormal (initial argument too big), or it is now Exact
+ if (status&DEC_Underflow) {
+ Int ae=rhs->exponent+rhs->digits-1; // adjusted exponent
+ // check if truly subnormal
+ #if DECEXTFLAG // DEC_Subnormal too
+ if (ae>=set->emin*2) status&=~(DEC_Subnormal|DEC_Underflow);
+ #else
+ if (ae>=set->emin*2) status&=~DEC_Underflow;
+ #endif
+ // check if truly inexact
+ if (!(status&DEC_Inexact)) status&=~DEC_Underflow;
+ }
+
+ decNumberCopy(res, a); // a is now the result
+ } while(0); // end protected
+
+ if (allocbuff!=NULL) free(allocbuff); // drop any storage used
+ if (allocbufa!=NULL) free(allocbufa); // ..
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // ..
+ #endif
+ if (status!=0) decStatus(res, status, set);// then report status
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberSquareRoot
+
+/* ------------------------------------------------------------------ */
+/* decNumberSubtract -- subtract two Numbers */
+/* */
+/* This computes C = A - B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X-X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSubtract(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+
+ decAddOp(res, lhs, rhs, set, DECNEG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberSubtract
+
+/* ------------------------------------------------------------------ */
+/* decNumberToIntegralExact -- round-to-integral-value with InExact */
+/* decNumberToIntegralValue -- round-to-integral-value */
+/* */
+/* res is the result */
+/* rhs is input number */
+/* set is the context */
+/* */
+/* res must have space for any value of rhs. */
+/* */
+/* This implements the IEEE special operators and therefore treats */
+/* special values as valid. For finite numbers it returns */
+/* rescale(rhs, 0) if rhs->exponent is <0. */
+/* Otherwise the result is rhs (so no error is possible, except for */
+/* sNaN). */
+/* */
+/* The context is used for rounding mode and status after sNaN, but */
+/* the digits setting is ignored. The Exact version will signal */
+/* Inexact if the result differs numerically from rhs; the other */
+/* never signals Inexact. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberToIntegralExact(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dn;
+ decContext workset; // working context
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // handle infinities and NaNs
+ if (SPECIALARG) {
+ if (decNumberIsInfinite(rhs)) decNumberCopy(res, rhs); // an Infinity
+ else decNaNs(res, rhs, NULL, set, &status); // a NaN
+ }
+ else { // finite
+ // have a finite number; no error possible (res must be big enough)
+ if (rhs->exponent>=0) return decNumberCopy(res, rhs);
+ // that was easy, but if negative exponent there is work to do...
+ workset=*set; // clone rounding, etc.
+ workset.digits=rhs->digits; // no length rounding
+ workset.traps=0; // no traps
+ decNumberZero(&dn); // make a number with exponent 0
+ decNumberQuantize(res, rhs, &dn, &workset);
+ status|=workset.status;
+ }
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberToIntegralExact
+
+decNumber * decNumberToIntegralValue(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decContext workset=*set; // working context
+ workset.traps=0; // no traps
+ decNumberToIntegralExact(res, rhs, &workset);
+ // this never affects set, except for sNaNs; NaN will have been set
+ // or propagated already, so no need to call decStatus
+ set->status|=workset.status&DEC_Invalid_operation;
+ return res;
+ } // decNumberToIntegralValue
+
+/* ------------------------------------------------------------------ */
+/* decNumberXor -- XOR two Numbers, digitwise */
+/* */
+/* This computes C = A ^ B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X^X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberXor(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ const Unit *ua, *ub; // -> operands
+ const Unit *msua, *msub; // -> operand msus
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs)
+ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ // operands are valid
+ ua=lhs->lsu; // bottom-up
+ ub=rhs->lsu; // ..
+ uc=res->lsu; // ..
+ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs
+ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop
+ Unit a, b; // extract units
+ if (ua>msua) a=0;
+ else a=*ua;
+ if (ub>msub) b=0;
+ else b=*ub;
+ *uc=0; // can now write back
+ if (a|b) { // maybe 1 bits to examine
+ Int i, j;
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i<DECDPUN; i++) {
+ if ((a^b)&1) *uc=*uc+(Unit)powers[i]; // effect XOR
+ j=a%10;
+ a=a/10;
+ j|=b%10;
+ b=b/10;
+ if (j>1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // non-zero
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberXor
+
+
+/* ================================================================== */
+/* Utility routines */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* decNumberClass -- return the decClass of a decNumber */
+/* dn -- the decNumber to test */
+/* set -- the context to use for Emin */
+/* returns the decClass enum */
+/* ------------------------------------------------------------------ */
+enum decClass decNumberClass(const decNumber *dn, decContext *set) {
+ if (decNumberIsSpecial(dn)) {
+ if (decNumberIsQNaN(dn)) return DEC_CLASS_QNAN;
+ if (decNumberIsSNaN(dn)) return DEC_CLASS_SNAN;
+ // must be an infinity
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_INF;
+ return DEC_CLASS_POS_INF;
+ }
+ // is finite
+ if (decNumberIsNormal(dn, set)) { // most common
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_NORMAL;
+ return DEC_CLASS_POS_NORMAL;
+ }
+ // is subnormal or zero
+ if (decNumberIsZero(dn)) { // most common
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_ZERO;
+ return DEC_CLASS_POS_ZERO;
+ }
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_SUBNORMAL;
+ return DEC_CLASS_POS_SUBNORMAL;
+ } // decNumberClass
+
+/* ------------------------------------------------------------------ */
+/* decNumberClassToString -- convert decClass to a string */
+/* */
+/* eclass is a valid decClass */
+/* returns a constant string describing the class (max 13+1 chars) */
+/* ------------------------------------------------------------------ */
+const char *decNumberClassToString(enum decClass eclass) {
+ if (eclass==DEC_CLASS_POS_NORMAL) return DEC_ClassString_PN;
+ if (eclass==DEC_CLASS_NEG_NORMAL) return DEC_ClassString_NN;
+ if (eclass==DEC_CLASS_POS_ZERO) return DEC_ClassString_PZ;
+ if (eclass==DEC_CLASS_NEG_ZERO) return DEC_ClassString_NZ;
+ if (eclass==DEC_CLASS_POS_SUBNORMAL) return DEC_ClassString_PS;
+ if (eclass==DEC_CLASS_NEG_SUBNORMAL) return DEC_ClassString_NS;
+ if (eclass==DEC_CLASS_POS_INF) return DEC_ClassString_PI;
+ if (eclass==DEC_CLASS_NEG_INF) return DEC_ClassString_NI;
+ if (eclass==DEC_CLASS_QNAN) return DEC_ClassString_QN;
+ if (eclass==DEC_CLASS_SNAN) return DEC_ClassString_SN;
+ return DEC_ClassString_UN; // Unknown
+ } // decNumberClassToString
+
+/* ------------------------------------------------------------------ */
+/* decNumberCopy -- copy a number */
+/* */
+/* dest is the target decNumber */
+/* src is the source decNumber */
+/* returns dest */
+/* */
+/* (dest==src is allowed and is a no-op) */
+/* All fields are updated as required. This is a utility operation, */
+/* so special values are unchanged and no error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopy(decNumber *dest, const decNumber *src) {
+
+ #if DECCHECK
+ if (src==NULL) return decNumberZero(dest);
+ #endif
+
+ if (dest==src) return dest; // no copy required
+
+ // Use explicit assignments here as structure assignment could copy
+ // more than just the lsu (for small DECDPUN). This would not affect
+ // the value of the results, but could disturb test harness spill
+ // checking.
+ dest->bits=src->bits;
+ dest->exponent=src->exponent;
+ dest->digits=src->digits;
+ dest->lsu[0]=src->lsu[0];
+ if (src->digits>DECDPUN) { // more Units to come
+ const Unit *smsup, *s; // work
+ Unit *d; // ..
+ // memcpy for the remaining Units would be safe as they cannot
+ // overlap. However, this explicit loop is faster in short cases.
+ d=dest->lsu+1; // -> first destination
+ smsup=src->lsu+D2U(src->digits); // -> source msu+1
+ for (s=src->lsu+1; s<smsup; s++, d++) *d=*s;
+ }
+ return dest;
+ } // decNumberCopy
+
+/* ------------------------------------------------------------------ */
+/* decNumberCopyAbs -- quiet absolute value operator */
+/* */
+/* This sets C = abs(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* */
+/* C must have space for set->digits digits. */
+/* No exception or error can occur; this is a quiet bitwise operation.*/
+/* See also decNumberAbs for a checking version of this. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopyAbs(decNumber *res, const decNumber *rhs) {
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res;
+ #endif
+ decNumberCopy(res, rhs);
+ res->bits&=~DECNEG; // turn off sign
+ return res;
+ } // decNumberCopyAbs
+
+/* ------------------------------------------------------------------ */
+/* decNumberCopyNegate -- quiet negate value operator */
+/* */
+/* This sets C = negate(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* */
+/* C must have space for set->digits digits. */
+/* No exception or error can occur; this is a quiet bitwise operation.*/
+/* See also decNumberMinus for a checking version of this. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopyNegate(decNumber *res, const decNumber *rhs) {
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res;
+ #endif
+ decNumberCopy(res, rhs);
+ res->bits^=DECNEG; // invert the sign
+ return res;
+ } // decNumberCopyNegate
+
+/* ------------------------------------------------------------------ */
+/* decNumberCopySign -- quiet copy and set sign operator */
+/* */
+/* This sets C = A with the sign of B */
+/* */
+/* res is C, the result. C may be A */
+/* lhs is A */
+/* rhs is B */
+/* */
+/* C must have space for set->digits digits. */
+/* No exception or error can occur; this is a quiet bitwise operation.*/
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopySign(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs) {
+ uByte sign; // rhs sign
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res;
+ #endif
+ sign=rhs->bits & DECNEG; // save sign bit
+ decNumberCopy(res, lhs);
+ res->bits&=~DECNEG; // clear the sign
+ res->bits|=sign; // set from rhs
+ return res;
+ } // decNumberCopySign
+
+/* ------------------------------------------------------------------ */
+/* decNumberGetBCD -- get the coefficient in BCD8 */
+/* dn is the source decNumber */
+/* bcd is the uInt array that will receive dn->digits BCD bytes, */
+/* most-significant at offset 0 */
+/* returns bcd */
+/* */
+/* bcd must have at least dn->digits bytes. No error is possible; if */
+/* dn is a NaN or Infinite, digits must be 1 and the coefficient 0. */
+/* ------------------------------------------------------------------ */
+uByte * decNumberGetBCD(const decNumber *dn, uByte *bcd) {
+ uByte *ub=bcd+dn->digits-1; // -> lsd
+ const Unit *up=dn->lsu; // Unit pointer, -> lsu
+
+ #if DECDPUN==1 // trivial simple copy
+ for (; ub>=bcd; ub--, up++) *ub=*up;
+ #else // chopping needed
+ uInt u=*up; // work
+ uInt cut=DECDPUN; // downcounter through unit
+ for (; ub>=bcd; ub--) {
+ *ub=(uByte)(u%10); // [*6554 trick inhibits, here]
+ u=u/10;
+ cut--;
+ if (cut>0) continue; // more in this unit
+ up++;
+ u=*up;
+ cut=DECDPUN;
+ }
+ #endif
+ return bcd;
+ } // decNumberGetBCD
+
+/* ------------------------------------------------------------------ */
+/* decNumberSetBCD -- set (replace) the coefficient from BCD8 */
+/* dn is the target decNumber */
+/* bcd is the uInt array that will source n BCD bytes, most- */
+/* significant at offset 0 */
+/* n is the number of digits in the source BCD array (bcd) */
+/* returns dn */
+/* */
+/* dn must have space for at least n digits. No error is possible; */
+/* if dn is a NaN, or Infinite, or is to become a zero, n must be 1 */
+/* and bcd[0] zero. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSetBCD(decNumber *dn, const uByte *bcd, uInt n) {
+ Unit *up=dn->lsu+D2U(dn->digits)-1; // -> msu [target pointer]
+ const uByte *ub=bcd; // -> source msd
+
+ #if DECDPUN==1 // trivial simple copy
+ for (; ub<bcd+n; ub++, up--) *up=*ub;
+ #else // some assembly needed
+ // calculate how many digits in msu, and hence first cut
+ Int cut=MSUDIGITS(n); // [faster than remainder]
+ for (;up>=dn->lsu; up--) { // each Unit from msu
+ *up=0; // will take <=DECDPUN digits
+ for (; cut>0; ub++, cut--) *up=X10(*up)+*ub;
+ cut=DECDPUN; // next Unit has all digits
+ }
+ #endif
+ dn->digits=n; // set digit count
+ return dn;
+ } // decNumberSetBCD
+
+/* ------------------------------------------------------------------ */
+/* decNumberIsNormal -- test normality of a decNumber */
+/* dn is the decNumber to test */
+/* set is the context to use for Emin */
+/* returns 1 if |dn| is finite and >=Nmin, 0 otherwise */
+/* ------------------------------------------------------------------ */
+Int decNumberIsNormal(const decNumber *dn, decContext *set) {
+ Int ae; // adjusted exponent
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0;
+ #endif
+
+ if (decNumberIsSpecial(dn)) return 0; // not finite
+ if (decNumberIsZero(dn)) return 0; // not non-zero
+
+ ae=dn->exponent+dn->digits-1; // adjusted exponent
+ if (ae<set->emin) return 0; // is subnormal
+ return 1;
+ } // decNumberIsNormal
+
+/* ------------------------------------------------------------------ */
+/* decNumberIsSubnormal -- test subnormality of a decNumber */
+/* dn is the decNumber to test */
+/* set is the context to use for Emin */
+/* returns 1 if |dn| is finite, non-zero, and <Nmin, 0 otherwise */
+/* ------------------------------------------------------------------ */
+Int decNumberIsSubnormal(const decNumber *dn, decContext *set) {
+ Int ae; // adjusted exponent
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0;
+ #endif
+
+ if (decNumberIsSpecial(dn)) return 0; // not finite
+ if (decNumberIsZero(dn)) return 0; // not non-zero
+
+ ae=dn->exponent+dn->digits-1; // adjusted exponent
+ if (ae<set->emin) return 1; // is subnormal
+ return 0;
+ } // decNumberIsSubnormal
+
+/* ------------------------------------------------------------------ */
+/* decNumberTrim -- remove insignificant zeros */
+/* */
+/* dn is the number to trim */
+/* returns dn */
+/* */
+/* All fields are updated as required. This is a utility operation, */
+/* so special values are unchanged and no error is possible. The */
+/* zeros are removed unconditionally. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberTrim(decNumber *dn) {
+ Int dropped; // work
+ decContext set; // ..
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, DECUNCONT)) return dn;
+ #endif
+ decContextDefault(&set, DEC_INIT_BASE); // clamp=0
+ return decTrim(dn, &set, 0, 1, &dropped);
+ } // decNumberTrim
+
+/* ------------------------------------------------------------------ */
+/* decNumberVersion -- return the name and version of this module */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+const char * decNumberVersion(void) {
+ return DECVERSION;
+ } // decNumberVersion
+
+/* ------------------------------------------------------------------ */
+/* decNumberZero -- set a number to 0 */
+/* */
+/* dn is the number to set, with space for one digit */
+/* returns dn */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+// Memset is not used as it is much slower in some environments.
+decNumber * decNumberZero(decNumber *dn) {
+
+ #if DECCHECK
+ if (decCheckOperands(dn, DECUNUSED, DECUNUSED, DECUNCONT)) return dn;
+ #endif
+
+ dn->bits=0;
+ dn->exponent=0;
+ dn->digits=1;
+ dn->lsu[0]=0;
+ return dn;
+ } // decNumberZero
+
+/* ================================================================== */
+/* Local routines */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* decToString -- lay out a number into a string */
+/* */
+/* dn is the number to lay out */
+/* string is where to lay out the number */
+/* eng is 1 if Engineering, 0 if Scientific */
+/* */
+/* string must be at least dn->digits+14 characters long */
+/* No error is possible. */
+/* */
+/* Note that this routine can generate a -0 or 0.000. These are */
+/* never generated in subset to-number or arithmetic, but can occur */
+/* in non-subset arithmetic (e.g., -1*0 or 1.234-1.234). */
+/* ------------------------------------------------------------------ */
+// If DECCHECK is enabled the string "?" is returned if a number is
+// invalid.
+static void decToString(const decNumber *dn, char *string, Flag eng) {
+ Int exp=dn->exponent; // local copy
+ Int e; // E-part value
+ Int pre; // digits before the '.'
+ Int cut; // for counting digits in a Unit
+ char *c=string; // work [output pointer]
+ const Unit *up=dn->lsu+D2U(dn->digits)-1; // -> msu [input pointer]
+ uInt u, pow; // work
+
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, dn, DECUNUSED, DECUNCONT)) {
+ strcpy(string, "?");
+ return;}
+ #endif
+
+ if (decNumberIsNegative(dn)) { // Negatives get a minus
+ *c='-';
+ c++;
+ }
+ if (dn->bits&DECSPECIAL) { // Is a special value
+ if (decNumberIsInfinite(dn)) {
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return;}
+ // a NaN
+ if (dn->bits&DECSNAN) { // signalling NaN
+ *c='s';
+ c++;
+ }
+ strcpy(c, "NaN");
+ c+=3; // step past
+ // if not a clean non-zero coefficient, that's all there is in a
+ // NaN string
+ if (exp!=0 || (*dn->lsu==0 && dn->digits==1)) return;
+ // [drop through to add integer]
+ }
+
+ // calculate how many digits in msu, and hence first cut
+ cut=MSUDIGITS(dn->digits); // [faster than remainder]
+ cut--; // power of ten for digit
+
+ if (exp==0) { // simple integer [common fastpath]
+ for (;up>=dn->lsu; up--) { // each Unit from msu
+ u=*up; // contains DECDPUN digits to lay out
+ for (; cut>=0; c++, cut--) TODIGIT(u, cut, c, pow);
+ cut=DECDPUN-1; // next Unit has all digits
+ }
+ *c='\0'; // terminate the string
+ return;}
+
+ /* non-0 exponent -- assume plain form */
+ pre=dn->digits+exp; // digits before '.'
+ e=0; // no E
+ if ((exp>0) || (pre<-5)) { // need exponential form
+ e=exp+dn->digits-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ if (eng && (e!=0)) { // engineering: may need to adjust
+ Int adj; // adjustment
+ // The C remainder operator is undefined for negative numbers, so
+ // a positive remainder calculation must be used here
+ if (e<0) {
+ adj=(-e)%3;
+ if (adj!=0) adj=3-adj;
+ }
+ else { // e>0
+ adj=e%3;
+ }
+ e=e-adj;
+ // if dealing with zero still produce an exponent which is a
+ // multiple of three, as expected, but there will only be the
+ // one zero before the E, still. Otherwise note the padding.
+ if (!ISZERO(dn)) pre+=adj;
+ else { // is zero
+ if (adj!=0) { // 0.00Esnn needed
+ e=e+3;
+ pre=-(2-adj);
+ }
+ } // zero
+ } // eng
+ } // need exponent
+
+ /* lay out the digits of the coefficient, adding 0s and . as needed */
+ u=*up;
+ if (pre>0) { // xxx.xxx or xx00 (engineering) form
+ Int n=pre;
+ for (; pre>0; pre--, c++, cut--) {
+ if (cut<0) { // need new Unit
+ if (up==dn->lsu) break; // out of input digits (pre>digits)
+ up--;
+ cut=DECDPUN-1;
+ u=*up;
+ }
+ TODIGIT(u, cut, c, pow);
+ }
+ if (n<dn->digits) { // more to come, after '.'
+ *c='.'; c++;
+ for (;; c++, cut--) {
+ if (cut<0) { // need new Unit
+ if (up==dn->lsu) break; // out of input digits
+ up--;
+ cut=DECDPUN-1;
+ u=*up;
+ }
+ TODIGIT(u, cut, c, pow);
+ }
+ }
+ else for (; pre>0; pre--, c++) *c='0'; // 0 padding (for engineering) needed
+ }
+ else { // 0.xxx or 0.000xxx form
+ *c='0'; c++;
+ *c='.'; c++;
+ for (; pre<0; pre++, c++) *c='0'; // add any 0's after '.'
+ for (; ; c++, cut--) {
+ if (cut<0) { // need new Unit
+ if (up==dn->lsu) break; // out of input digits
+ up--;
+ cut=DECDPUN-1;
+ u=*up;
+ }
+ TODIGIT(u, cut, c, pow);
+ }
+ }
+
+ /* Finally add the E-part, if needed. It will never be 0, has a
+ base maximum and minimum of +999999999 through -999999999, but
+ could range down to -1999999998 for anormal numbers */
+ if (e!=0) {
+ Flag had=0; // 1=had non-zero
+ *c='E'; c++;
+ *c='+'; c++; // assume positive
+ u=e; // ..
+ if (e<0) {
+ *(c-1)='-'; // oops, need -
+ u=-e; // uInt, please
+ }
+ // lay out the exponent [_itoa or equivalent is not ANSI C]
+ for (cut=9; cut>=0; cut--) {
+ TODIGIT(u, cut, c, pow);
+ if (*c=='0' && !had) continue; // skip leading zeros
+ had=1; // had non-0
+ c++; // step for next
+ } // cut
+ }
+ *c='\0'; // terminate the string (all paths)
+ return;
+ } // decToString
+
+/* ------------------------------------------------------------------ */
+/* decAddOp -- add/subtract operation */
+/* */
+/* This computes C = A + B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X+X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* negate is DECNEG if rhs should be negated, or 0 otherwise */
+/* status accumulates status for the caller */
+/* */
+/* C must have space for set->digits digits. */
+/* Inexact in status must be 0 for correct Exact zero sign in result */
+/* ------------------------------------------------------------------ */
+/* If possible, the coefficient is calculated directly into C. */
+/* However, if: */
+/* -- a digits+1 calculation is needed because the numbers are */
+/* unaligned and span more than set->digits digits */
+/* -- a carry to digits+1 digits looks possible */
+/* -- C is the same as A or B, and the result would destructively */
+/* overlap the A or B coefficient */
+/* then the result must be calculated into a temporary buffer. In */
+/* this case a local (stack) buffer is used if possible, and only if */
+/* too long for that does malloc become the final resort. */
+/* */
+/* Misalignment is handled as follows: */
+/* Apad: (AExp>BExp) Swap operands and proceed as for BExp>AExp. */
+/* BPad: Apply the padding by a combination of shifting (whole */
+/* units) and multiplication (part units). */
+/* */
+/* Addition, especially x=x+1, is speed-critical. */
+/* The static buffer is larger than might be expected to allow for */
+/* calls from higher-level funtions (notable exp). */
+/* ------------------------------------------------------------------ */
+static decNumber * decAddOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ uByte negate, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ Int rhsshift; // working shift (in Units)
+ Int maxdigits; // longest logical length
+ Int mult; // multiplier
+ Int residue; // rounding accumulator
+ uByte bits; // result bits
+ Flag diffsign; // non-0 if arguments have different sign
+ Unit *acc; // accumulator for result
+ Unit accbuff[SD2U(DECBUFFER*2+20)]; // local buffer [*2+20 reduces many
+ // allocations when called from
+ // other operations, notable exp]
+ Unit *allocacc=NULL; // -> allocated acc buffer, iff allocated
+ Int reqdigits=set->digits; // local copy; requested DIGITS
+ Int padding; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // note whether signs differ [used all paths]
+ diffsign=(Flag)((lhs->bits^rhs->bits^negate)&DECNEG);
+
+ // handle infinities and NaNs
+ if (SPECIALARGS) { // a special bit set
+ if (SPECIALARGS & (DECSNAN | DECNAN)) // a NaN
+ decNaNs(res, lhs, rhs, set, status);
+ else { // one or two infinities
+ if (decNumberIsInfinite(lhs)) { // LHS is infinity
+ // two infinities with different signs is invalid
+ if (decNumberIsInfinite(rhs) && diffsign) {
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ bits=lhs->bits & DECNEG; // get sign from LHS
+ }
+ else bits=(rhs->bits^negate) & DECNEG;// RHS must be Infinity
+ bits|=DECINF;
+ decNumberZero(res);
+ res->bits=bits; // set +/- infinity
+ } // an infinity
+ break;
+ }
+
+ // Quick exit for add 0s; return the non-0, modified as need be
+ if (ISZERO(lhs)) {
+ Int adjust; // work
+ Int lexp=lhs->exponent; // save in case LHS==RES
+ bits=lhs->bits; // ..
+ residue=0; // clear accumulator
+ decCopyFit(res, rhs, set, &residue, status); // copy (as needed)
+ res->bits^=negate; // flip if rhs was negated
+ #if DECSUBSET
+ if (set->extended) { // exponents on zeros count
+ #endif
+ // exponent will be the lower of the two
+ adjust=lexp-res->exponent; // adjustment needed [if -ve]
+ if (ISZERO(res)) { // both 0: special IEEE 754 rules
+ if (adjust<0) res->exponent=lexp; // set exponent
+ // 0-0 gives +0 unless rounding to -infinity, and -0-0 gives -0
+ if (diffsign) {
+ if (set->round!=DEC_ROUND_FLOOR) res->bits=0;
+ else res->bits=DECNEG; // preserve 0 sign
+ }
+ }
+ else { // non-0 res
+ if (adjust<0) { // 0-padding needed
+ if ((res->digits-adjust)>set->digits) {
+ adjust=res->digits-set->digits; // to fit exactly
+ *status|=DEC_Rounded; // [but exact]
+ }
+ res->digits=decShiftToMost(res->lsu, res->digits, -adjust);
+ res->exponent+=adjust; // set the exponent.
+ }
+ } // non-0 res
+ #if DECSUBSET
+ } // extended
+ #endif
+ decFinish(res, set, &residue, status); // clean and finalize
+ break;}
+
+ if (ISZERO(rhs)) { // [lhs is non-zero]
+ Int adjust; // work
+ Int rexp=rhs->exponent; // save in case RHS==RES
+ bits=rhs->bits; // be clean
+ residue=0; // clear accumulator
+ decCopyFit(res, lhs, set, &residue, status); // copy (as needed)
+ #if DECSUBSET
+ if (set->extended) { // exponents on zeros count
+ #endif
+ // exponent will be the lower of the two
+ // [0-0 case handled above]
+ adjust=rexp-res->exponent; // adjustment needed [if -ve]
+ if (adjust<0) { // 0-padding needed
+ if ((res->digits-adjust)>set->digits) {
+ adjust=res->digits-set->digits; // to fit exactly
+ *status|=DEC_Rounded; // [but exact]
+ }
+ res->digits=decShiftToMost(res->lsu, res->digits, -adjust);
+ res->exponent+=adjust; // set the exponent.
+ }
+ #if DECSUBSET
+ } // extended
+ #endif
+ decFinish(res, set, &residue, status); // clean and finalize
+ break;}
+
+ // [NB: both fastpath and mainpath code below assume these cases
+ // (notably 0-0) have already been handled]
+
+ // calculate the padding needed to align the operands
+ padding=rhs->exponent-lhs->exponent;
+
+ // Fastpath cases where the numbers are aligned and normal, the RHS
+ // is all in one unit, no operand rounding is needed, and no carry,
+ // lengthening, or borrow is needed
+ if (padding==0
+ && rhs->digits<=DECDPUN
+ && rhs->exponent>=set->emin // [some normals drop through]
+ && rhs->exponent<=set->emax-set->digits+1 // [could clamp]
+ && rhs->digits<=reqdigits
+ && lhs->digits<=reqdigits) {
+ Int partial=*lhs->lsu;
+ if (!diffsign) { // adding
+ partial+=*rhs->lsu;
+ if ((partial<=DECDPUNMAX) // result fits in unit
+ && (lhs->digits>=DECDPUN || // .. and no digits-count change
+ partial<(Int)powers[lhs->digits])) { // ..
+ if (res!=lhs) decNumberCopy(res, lhs); // not in place
+ *res->lsu=(Unit)partial; // [copy could have overwritten RHS]
+ break;
+ }
+ // else drop out for careful add
+ }
+ else { // signs differ
+ partial-=*rhs->lsu;
+ if (partial>0) { // no borrow needed, and non-0 result
+ if (res!=lhs) decNumberCopy(res, lhs); // not in place
+ *res->lsu=(Unit)partial;
+ // this could have reduced digits [but result>0]
+ res->digits=decGetDigits(res->lsu, D2U(res->digits));
+ break;
+ }
+ // else drop out for careful subtract
+ }
+ }
+
+ // Now align (pad) the lhs or rhs so they can be added or
+ // subtracted, as necessary. If one number is much larger than
+ // the other (that is, if in plain form there is a least one
+ // digit between the lowest digit of one and the highest of the
+ // other) padding with up to DIGITS-1 trailing zeros may be
+ // needed; then apply rounding (as exotic rounding modes may be
+ // affected by the residue).
+ rhsshift=0; // rhs shift to left (padding) in Units
+ bits=lhs->bits; // assume sign is that of LHS
+ mult=1; // likely multiplier
+
+ // [if padding==0 the operands are aligned; no padding is needed]
+ if (padding!=0) {
+ // some padding needed; always pad the RHS, as any required
+ // padding can then be effected by a simple combination of
+ // shifts and a multiply
+ Flag swapped=0;
+ if (padding<0) { // LHS needs the padding
+ const decNumber *t;
+ padding=-padding; // will be +ve
+ bits=(uByte)(rhs->bits^negate); // assumed sign is now that of RHS
+ t=lhs; lhs=rhs; rhs=t;
+ swapped=1;
+ }
+
+ // If, after pad, rhs would be longer than lhs by digits+1 or
+ // more then lhs cannot affect the answer, except as a residue,
+ // so only need to pad up to a length of DIGITS+1.
+ if (rhs->digits+padding > lhs->digits+reqdigits+1) {
+ // The RHS is sufficient
+ // for residue use the relative sign indication...
+ Int shift=reqdigits-rhs->digits; // left shift needed
+ residue=1; // residue for rounding
+ if (diffsign) residue=-residue; // signs differ
+ // copy, shortening if necessary
+ decCopyFit(res, rhs, set, &residue, status);
+ // if it was already shorter, then need to pad with zeros
+ if (shift>0) {
+ res->digits=decShiftToMost(res->lsu, res->digits, shift);
+ res->exponent-=shift; // adjust the exponent.
+ }
+ // flip the result sign if unswapped and rhs was negated
+ if (!swapped) res->bits^=negate;
+ decFinish(res, set, &residue, status); // done
+ break;}
+
+ // LHS digits may affect result
+ rhsshift=D2U(padding+1)-1; // this much by Unit shift ..
+ mult=powers[padding-(rhsshift*DECDPUN)]; // .. this by multiplication
+ } // padding needed
+
+ if (diffsign) mult=-mult; // signs differ
+
+ // determine the longer operand
+ maxdigits=rhs->digits+padding; // virtual length of RHS
+ if (lhs->digits>maxdigits) maxdigits=lhs->digits;
+
+ // Decide on the result buffer to use; if possible place directly
+ // into result.
+ acc=res->lsu; // assume add direct to result
+ // If destructive overlap, or the number is too long, or a carry or
+ // borrow to DIGITS+1 might be possible, a buffer must be used.
+ // [Might be worth more sophisticated tests when maxdigits==reqdigits]
+ if ((maxdigits>=reqdigits) // is, or could be, too large
+ || (res==rhs && rhsshift>0)) { // destructive overlap
+ // buffer needed, choose it; units for maxdigits digits will be
+ // needed, +1 Unit for carry or borrow
+ Int need=D2U(maxdigits)+1;
+ acc=accbuff; // assume use local buffer
+ if (need*sizeof(Unit)>sizeof(accbuff)) {
+ // printf("malloc add %ld %ld\n", need, sizeof(accbuff));
+ allocacc=(Unit *)malloc(need*sizeof(Unit));
+ if (allocacc==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ acc=allocacc;
+ }
+ }
+
+ res->bits=(uByte)(bits&DECNEG); // it's now safe to overwrite..
+ res->exponent=lhs->exponent; // .. operands (even if aliased)
+
+ #if DECTRACE
+ decDumpAr('A', lhs->lsu, D2U(lhs->digits));
+ decDumpAr('B', rhs->lsu, D2U(rhs->digits));
+ printf(" :h: %ld %ld\n", rhsshift, mult);
+ #endif
+
+ // add [A+B*m] or subtract [A+B*(-m)]
+ res->digits=decUnitAddSub(lhs->lsu, D2U(lhs->digits),
+ rhs->lsu, D2U(rhs->digits),
+ rhsshift, acc, mult)
+ *DECDPUN; // [units -> digits]
+ if (res->digits<0) { // borrowed...
+ res->digits=-res->digits;
+ res->bits^=DECNEG; // flip the sign
+ }
+ #if DECTRACE
+ decDumpAr('+', acc, D2U(res->digits));
+ #endif
+
+ // If a buffer was used the result must be copied back, possibly
+ // shortening. (If no buffer was used then the result must have
+ // fit, so can't need rounding and residue must be 0.)
+ residue=0; // clear accumulator
+ if (acc!=res->lsu) {
+ #if DECSUBSET
+ if (set->extended) { // round from first significant digit
+ #endif
+ // remove leading zeros that were added due to rounding up to
+ // integral Units -- before the test for rounding.
+ if (res->digits>reqdigits)
+ res->digits=decGetDigits(acc, D2U(res->digits));
+ decSetCoeff(res, set, acc, res->digits, &residue, status);
+ #if DECSUBSET
+ }
+ else { // subset arithmetic rounds from original significant digit
+ // May have an underestimate. This only occurs when both
+ // numbers fit in DECDPUN digits and are padding with a
+ // negative multiple (-10, -100...) and the top digit(s) become
+ // 0. (This only matters when using X3.274 rules where the
+ // leading zero could be included in the rounding.)
+ if (res->digits<maxdigits) {
+ *(acc+D2U(res->digits))=0; // ensure leading 0 is there
+ res->digits=maxdigits;
+ }
+ else {
+ // remove leading zeros that added due to rounding up to
+ // integral Units (but only those in excess of the original
+ // maxdigits length, unless extended) before test for rounding.
+ if (res->digits>reqdigits) {
+ res->digits=decGetDigits(acc, D2U(res->digits));
+ if (res->digits<maxdigits) res->digits=maxdigits;
+ }
+ }
+ decSetCoeff(res, set, acc, res->digits, &residue, status);
+ // Now apply rounding if needed before removing leading zeros.
+ // This is safe because subnormals are not a possibility
+ if (residue!=0) {
+ decApplyRound(res, set, residue, status);
+ residue=0; // did what needed to be done
+ }
+ } // subset
+ #endif
+ } // used buffer
+
+ // strip leading zeros [these were left on in case of subset subtract]
+ res->digits=decGetDigits(res->lsu, D2U(res->digits));
+
+ // apply checks and rounding
+ decFinish(res, set, &residue, status);
+
+ // "When the sum of two operands with opposite signs is exactly
+ // zero, the sign of that sum shall be '+' in all rounding modes
+ // except round toward -Infinity, in which mode that sign shall be
+ // '-'." [Subset zeros also never have '-', set by decFinish.]
+ if (ISZERO(res) && diffsign
+ #if DECSUBSET
+ && set->extended
+ #endif
+ && (*status&DEC_Inexact)==0) {
+ if (set->round==DEC_ROUND_FLOOR) res->bits|=DECNEG; // sign -
+ else res->bits&=~DECNEG; // sign +
+ }
+ } while(0); // end protected
+
+ if (allocacc!=NULL) free(allocacc); // drop any storage used
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decAddOp
+
+/* ------------------------------------------------------------------ */
+/* decDivideOp -- division operation */
+/* */
+/* This routine performs the calculations for all four division */
+/* operators (divide, divideInteger, remainder, remainderNear). */
+/* */
+/* C=A op B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X/X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* op is DIVIDE, DIVIDEINT, REMAINDER, or REMNEAR respectively. */
+/* status is the usual accumulator */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* ------------------------------------------------------------------ */
+/* The underlying algorithm of this routine is the same as in the */
+/* 1981 S/370 implementation, that is, non-restoring long division */
+/* with bi-unit (rather than bi-digit) estimation for each unit */
+/* multiplier. In this pseudocode overview, complications for the */
+/* Remainder operators and division residues for exact rounding are */
+/* omitted for clarity. */
+/* */
+/* Prepare operands and handle special values */
+/* Test for x/0 and then 0/x */
+/* Exp =Exp1 - Exp2 */
+/* Exp =Exp +len(var1) -len(var2) */
+/* Sign=Sign1 * Sign2 */
+/* Pad accumulator (Var1) to double-length with 0's (pad1) */
+/* Pad Var2 to same length as Var1 */
+/* msu2pair/plus=1st 2 or 1 units of var2, +1 to allow for round */
+/* have=0 */
+/* Do until (have=digits+1 OR residue=0) */
+/* if exp<0 then if integer divide/residue then leave */
+/* this_unit=0 */
+/* Do forever */
+/* compare numbers */
+/* if <0 then leave inner_loop */
+/* if =0 then (* quick exit without subtract *) do */
+/* this_unit=this_unit+1; output this_unit */
+/* leave outer_loop; end */
+/* Compare lengths of numbers (mantissae): */
+/* If same then tops2=msu2pair -- {units 1&2 of var2} */
+/* else tops2=msu2plus -- {0, unit 1 of var2} */
+/* tops1=first_unit_of_Var1*10**DECDPUN +second_unit_of_var1 */
+/* mult=tops1/tops2 -- Good and safe guess at divisor */
+/* if mult=0 then mult=1 */
+/* this_unit=this_unit+mult */
+/* subtract */
+/* end inner_loop */
+/* if have\=0 | this_unit\=0 then do */
+/* output this_unit */
+/* have=have+1; end */
+/* var2=var2/10 */
+/* exp=exp-1 */
+/* end outer_loop */
+/* exp=exp+1 -- set the proper exponent */
+/* if have=0 then generate answer=0 */
+/* Return (Result is defined by Var1) */
+/* */
+/* ------------------------------------------------------------------ */
+/* Two working buffers are needed during the division; one (digits+ */
+/* 1) to accumulate the result, and the other (up to 2*digits+1) for */
+/* long subtractions. These are acc and var1 respectively. */
+/* var1 is a copy of the lhs coefficient, var2 is the rhs coefficient.*/
+/* The static buffers may be larger than might be expected to allow */
+/* for calls from higher-level funtions (notable exp). */
+/* ------------------------------------------------------------------ */
+static decNumber * decDivideOp(decNumber *res,
+ const decNumber *lhs, const decNumber *rhs,
+ decContext *set, Flag op, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ Unit accbuff[SD2U(DECBUFFER+DECDPUN+10)]; // local buffer
+ Unit *acc=accbuff; // -> accumulator array for result
+ Unit *allocacc=NULL; // -> allocated buffer, iff allocated
+ Unit *accnext; // -> where next digit will go
+ Int acclength; // length of acc needed [Units]
+ Int accunits; // count of units accumulated
+ Int accdigits; // count of digits accumulated
+
+ Unit varbuff[SD2U(DECBUFFER*2+DECDPUN)]; // buffer for var1
+ Unit *var1=varbuff; // -> var1 array for long subtraction
+ Unit *varalloc=NULL; // -> allocated buffer, iff used
+ Unit *msu1; // -> msu of var1
+
+ const Unit *var2; // -> var2 array
+ const Unit *msu2; // -> msu of var2
+ Int msu2plus; // msu2 plus one [does not vary]
+ eInt msu2pair; // msu2 pair plus one [does not vary]
+
+ Int var1units, var2units; // actual lengths
+ Int var2ulen; // logical length (units)
+ Int var1initpad=0; // var1 initial padding (digits)
+ Int maxdigits; // longest LHS or required acc length
+ Int mult; // multiplier for subtraction
+ Unit thisunit; // current unit being accumulated
+ Int residue; // for rounding
+ Int reqdigits=set->digits; // requested DIGITS
+ Int exponent; // working exponent
+ Int maxexponent=0; // DIVIDE maximum exponent if unrounded
+ uByte bits; // working sign
+ Unit *target; // work
+ const Unit *source; // ..
+ uInt const *pow; // ..
+ Int shift, cut; // ..
+ #if DECSUBSET
+ Int dropped; // work
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ bits=(lhs->bits^rhs->bits)&DECNEG; // assumed sign for divisions
+
+ // handle infinities and NaNs
+ if (SPECIALARGS) { // a special bit set
+ if (SPECIALARGS & (DECSNAN | DECNAN)) { // one or two NaNs
+ decNaNs(res, lhs, rhs, set, status);
+ break;
+ }
+ // one or two infinities
+ if (decNumberIsInfinite(lhs)) { // LHS (dividend) is infinite
+ if (decNumberIsInfinite(rhs) || // two infinities are invalid ..
+ op & (REMAINDER | REMNEAR)) { // as is remainder of infinity
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ // [Note that infinity/0 raises no exceptions]
+ decNumberZero(res);
+ res->bits=bits|DECINF; // set +/- infinity
+ break;
+ }
+ else { // RHS (divisor) is infinite
+ residue=0;
+ if (op&(REMAINDER|REMNEAR)) {
+ // result is [finished clone of] lhs
+ decCopyFit(res, lhs, set, &residue, status);
+ }
+ else { // a division
+ decNumberZero(res);
+ res->bits=bits; // set +/- zero
+ // for DIVIDEINT the exponent is always 0. For DIVIDE, result
+ // is a 0 with infinitely negative exponent, clamped to minimum
+ if (op&DIVIDE) {
+ res->exponent=set->emin-set->digits+1;
+ *status|=DEC_Clamped;
+ }
+ }
+ decFinish(res, set, &residue, status);
+ break;
+ }
+ }
+
+ // handle 0 rhs (x/0)
+ if (ISZERO(rhs)) { // x/0 is always exceptional
+ if (ISZERO(lhs)) {
+ decNumberZero(res); // [after lhs test]
+ *status|=DEC_Division_undefined;// 0/0 will become NaN
+ }
+ else {
+ decNumberZero(res);
+ if (op&(REMAINDER|REMNEAR)) *status|=DEC_Invalid_operation;
+ else {
+ *status|=DEC_Division_by_zero; // x/0
+ res->bits=bits|DECINF; // .. is +/- Infinity
+ }
+ }
+ break;}
+
+ // handle 0 lhs (0/x)
+ if (ISZERO(lhs)) { // 0/x [x!=0]
+ #if DECSUBSET
+ if (!set->extended) decNumberZero(res);
+ else {
+ #endif
+ if (op&DIVIDE) {
+ residue=0;
+ exponent=lhs->exponent-rhs->exponent; // ideal exponent
+ decNumberCopy(res, lhs); // [zeros always fit]
+ res->bits=bits; // sign as computed
+ res->exponent=exponent; // exponent, too
+ decFinalize(res, set, &residue, status); // check exponent
+ }
+ else if (op&DIVIDEINT) {
+ decNumberZero(res); // integer 0
+ res->bits=bits; // sign as computed
+ }
+ else { // a remainder
+ exponent=rhs->exponent; // [save in case overwrite]
+ decNumberCopy(res, lhs); // [zeros always fit]
+ if (exponent<res->exponent) res->exponent=exponent; // use lower
+ }
+ #if DECSUBSET
+ }
+ #endif
+ break;}
+
+ // Precalculate exponent. This starts off adjusted (and hence fits
+ // in 31 bits) and becomes the usual unadjusted exponent as the
+ // division proceeds. The order of evaluation is important, here,
+ // to avoid wrap.
+ exponent=(lhs->exponent+lhs->digits)-(rhs->exponent+rhs->digits);
+
+ // If the working exponent is -ve, then some quick exits are
+ // possible because the quotient is known to be <1
+ // [for REMNEAR, it needs to be < -1, as -0.5 could need work]
+ if (exponent<0 && !(op==DIVIDE)) {
+ if (op&DIVIDEINT) {
+ decNumberZero(res); // integer part is 0
+ #if DECSUBSET
+ if (set->extended)
+ #endif
+ res->bits=bits; // set +/- zero
+ break;}
+ // fastpath remainders so long as the lhs has the smaller
+ // (or equal) exponent
+ if (lhs->exponent<=rhs->exponent) {
+ if (op&REMAINDER || exponent<-1) {
+ // It is REMAINDER or safe REMNEAR; result is [finished
+ // clone of] lhs (r = x - 0*y)
+ residue=0;
+ decCopyFit(res, lhs, set, &residue, status);
+ decFinish(res, set, &residue, status);
+ break;
+ }
+ // [unsafe REMNEAR drops through]
+ }
+ } // fastpaths
+
+ /* Long (slow) division is needed; roll up the sleeves... */
+
+ // The accumulator will hold the quotient of the division.
+ // If it needs to be too long for stack storage, then allocate.
+ acclength=D2U(reqdigits+DECDPUN); // in Units
+ if (acclength*sizeof(Unit)>sizeof(accbuff)) {
+ // printf("malloc dvacc %ld units\n", acclength);
+ allocacc=(Unit *)malloc(acclength*sizeof(Unit));
+ if (allocacc==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ acc=allocacc; // use the allocated space
+ }
+
+ // var1 is the padded LHS ready for subtractions.
+ // If it needs to be too long for stack storage, then allocate.
+ // The maximum units needed for var1 (long subtraction) is:
+ // Enough for
+ // (rhs->digits+reqdigits-1) -- to allow full slide to right
+ // or (lhs->digits) -- to allow for long lhs
+ // whichever is larger
+ // +1 -- for rounding of slide to right
+ // +1 -- for leading 0s
+ // +1 -- for pre-adjust if a remainder or DIVIDEINT
+ // [Note: unused units do not participate in decUnitAddSub data]
+ maxdigits=rhs->digits+reqdigits-1;
+ if (lhs->digits>maxdigits) maxdigits=lhs->digits;
+ var1units=D2U(maxdigits)+2;
+ // allocate a guard unit above msu1 for REMAINDERNEAR
+ if (!(op&DIVIDE)) var1units++;
+ if ((var1units+1)*sizeof(Unit)>sizeof(varbuff)) {
+ // printf("malloc dvvar %ld units\n", var1units+1);
+ varalloc=(Unit *)malloc((var1units+1)*sizeof(Unit));
+ if (varalloc==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ var1=varalloc; // use the allocated space
+ }
+
+ // Extend the lhs and rhs to full long subtraction length. The lhs
+ // is truly extended into the var1 buffer, with 0 padding, so a
+ // subtract in place is always possible. The rhs (var2) has
+ // virtual padding (implemented by decUnitAddSub).
+ // One guard unit was allocated above msu1 for rem=rem+rem in
+ // REMAINDERNEAR.
+ msu1=var1+var1units-1; // msu of var1
+ source=lhs->lsu+D2U(lhs->digits)-1; // msu of input array
+ for (target=msu1; source>=lhs->lsu; source--, target--) *target=*source;
+ for (; target>=var1; target--) *target=0;
+
+ // rhs (var2) is left-aligned with var1 at the start
+ var2ulen=var1units; // rhs logical length (units)
+ var2units=D2U(rhs->digits); // rhs actual length (units)
+ var2=rhs->lsu; // -> rhs array
+ msu2=var2+var2units-1; // -> msu of var2 [never changes]
+ // now set up the variables which will be used for estimating the
+ // multiplication factor. If these variables are not exact, add
+ // 1 to make sure that the multiplier is never overestimated.
+ msu2plus=*msu2; // it's value ..
+ if (var2units>1) msu2plus++; // .. +1 if any more
+ msu2pair=(eInt)*msu2*(DECDPUNMAX+1);// top two pair ..
+ if (var2units>1) { // .. [else treat 2nd as 0]
+ msu2pair+=*(msu2-1); // ..
+ if (var2units>2) msu2pair++; // .. +1 if any more
+ }
+
+ // The calculation is working in units, which may have leading zeros,
+ // but the exponent was calculated on the assumption that they are
+ // both left-aligned. Adjust the exponent to compensate: add the
+ // number of leading zeros in var1 msu and subtract those in var2 msu.
+ // [This is actually done by counting the digits and negating, as
+ // lead1=DECDPUN-digits1, and similarly for lead2.]
+ for (pow=&powers[1]; *msu1>=*pow; pow++) exponent--;
+ for (pow=&powers[1]; *msu2>=*pow; pow++) exponent++;
+
+ // Now, if doing an integer divide or remainder, ensure that
+ // the result will be Unit-aligned. To do this, shift the var1
+ // accumulator towards least if need be. (It's much easier to
+ // do this now than to reassemble the residue afterwards, if
+ // doing a remainder.) Also ensure the exponent is not negative.
+ if (!(op&DIVIDE)) {
+ Unit *u; // work
+ // save the initial 'false' padding of var1, in digits
+ var1initpad=(var1units-D2U(lhs->digits))*DECDPUN;
+ // Determine the shift to do.
+ if (exponent<0) cut=-exponent;
+ else cut=DECDPUN-exponent%DECDPUN;
+ decShiftToLeast(var1, var1units, cut);
+ exponent+=cut; // maintain numerical value
+ var1initpad-=cut; // .. and reduce padding
+ // clean any most-significant units which were just emptied
+ for (u=msu1; cut>=DECDPUN; cut-=DECDPUN, u--) *u=0;
+ } // align
+ else { // is DIVIDE
+ maxexponent=lhs->exponent-rhs->exponent; // save
+ // optimization: if the first iteration will just produce 0,
+ // preadjust to skip it [valid for DIVIDE only]
+ if (*msu1<*msu2) {
+ var2ulen--; // shift down
+ exponent-=DECDPUN; // update the exponent
+ }
+ }
+
+ // ---- start the long-division loops ------------------------------
+ accunits=0; // no units accumulated yet
+ accdigits=0; // .. or digits
+ accnext=acc+acclength-1; // -> msu of acc [NB: allows digits+1]
+ for (;;) { // outer forever loop
+ thisunit=0; // current unit assumed 0
+ // find the next unit
+ for (;;) { // inner forever loop
+ // strip leading zero units [from either pre-adjust or from
+ // subtract last time around]. Leave at least one unit.
+ for (; *msu1==0 && msu1>var1; msu1--) var1units--;
+
+ if (var1units<var2ulen) break; // var1 too low for subtract
+ if (var1units==var2ulen) { // unit-by-unit compare needed
+ // compare the two numbers, from msu
+ const Unit *pv1, *pv2;
+ Unit v2; // units to compare
+ pv2=msu2; // -> msu
+ for (pv1=msu1; ; pv1--, pv2--) {
+ // v1=*pv1 -- always OK
+ v2=0; // assume in padding
+ if (pv2>=var2) v2=*pv2; // in range
+ if (*pv1!=v2) break; // no longer the same
+ if (pv1==var1) break; // done; leave pv1 as is
+ }
+ // here when all inspected or a difference seen
+ if (*pv1<v2) break; // var1 too low to subtract
+ if (*pv1==v2) { // var1 == var2
+ // reach here if var1 and var2 are identical; subtraction
+ // would increase digit by one, and the residue will be 0 so
+ // the calculation is done; leave the loop with residue=0.
+ thisunit++; // as though subtracted
+ *var1=0; // set var1 to 0
+ var1units=1; // ..
+ break; // from inner
+ } // var1 == var2
+ // *pv1>v2. Prepare for real subtraction; the lengths are equal
+ // Estimate the multiplier (there's always a msu1-1)...
+ // Bring in two units of var2 to provide a good estimate.
+ mult=(Int)(((eInt)*msu1*(DECDPUNMAX+1)+*(msu1-1))/msu2pair);
+ } // lengths the same
+ else { // var1units > var2ulen, so subtraction is safe
+ // The var2 msu is one unit towards the lsu of the var1 msu,
+ // so only one unit for var2 can be used.
+ mult=(Int)(((eInt)*msu1*(DECDPUNMAX+1)+*(msu1-1))/msu2plus);
+ }
+ if (mult==0) mult=1; // must always be at least 1
+ // subtraction needed; var1 is > var2
+ thisunit=(Unit)(thisunit+mult); // accumulate
+ // subtract var1-var2, into var1; only the overlap needs
+ // processing, as this is an in-place calculation
+ shift=var2ulen-var2units;
+ #if DECTRACE
+ decDumpAr('1', &var1[shift], var1units-shift);
+ decDumpAr('2', var2, var2units);
+ printf("m=%ld\n", -mult);
+ #endif
+ decUnitAddSub(&var1[shift], var1units-shift,
+ var2, var2units, 0,
+ &var1[shift], -mult);
+ #if DECTRACE
+ decDumpAr('#', &var1[shift], var1units-shift);
+ #endif
+ // var1 now probably has leading zeros; these are removed at the
+ // top of the inner loop.
+ } // inner loop
+
+ // The next unit has been calculated in full; unless it's a
+ // leading zero, add to acc
+ if (accunits!=0 || thisunit!=0) { // is first or non-zero
+ *accnext=thisunit; // store in accumulator
+ // account exactly for the new digits
+ if (accunits==0) {
+ accdigits++; // at least one
+ for (pow=&powers[1]; thisunit>=*pow; pow++) accdigits++;
+ }
+ else accdigits+=DECDPUN;
+ accunits++; // update count
+ accnext--; // ready for next
+ if (accdigits>reqdigits) break; // have enough digits
+ }
+
+ // if the residue is zero, the operation is done (unless divide
+ // or divideInteger and still not enough digits yet)
+ if (*var1==0 && var1units==1) { // residue is 0
+ if (op&(REMAINDER|REMNEAR)) break;
+ if ((op&DIVIDE) && (exponent<=maxexponent)) break;
+ // [drop through if divideInteger]
+ }
+ // also done enough if calculating remainder or integer
+ // divide and just did the last ('units') unit
+ if (exponent==0 && !(op&DIVIDE)) break;
+
+ // to get here, var1 is less than var2, so divide var2 by the per-
+ // Unit power of ten and go for the next digit
+ var2ulen--; // shift down
+ exponent-=DECDPUN; // update the exponent
+ } // outer loop
+
+ // ---- division is complete ---------------------------------------
+ // here: acc has at least reqdigits+1 of good results (or fewer
+ // if early stop), starting at accnext+1 (its lsu)
+ // var1 has any residue at the stopping point
+ // accunits is the number of digits collected in acc
+ if (accunits==0) { // acc is 0
+ accunits=1; // show have a unit ..
+ accdigits=1; // ..
+ *accnext=0; // .. whose value is 0
+ }
+ else accnext++; // back to last placed
+ // accnext now -> lowest unit of result
+
+ residue=0; // assume no residue
+ if (op&DIVIDE) {
+ // record the presence of any residue, for rounding
+ if (*var1!=0 || var1units>1) residue=1;
+ else { // no residue
+ // Had an exact division; clean up spurious trailing 0s.
+ // There will be at most DECDPUN-1, from the final multiply,
+ // and then only if the result is non-0 (and even) and the
+ // exponent is 'loose'.
+ #if DECDPUN>1
+ Unit lsu=*accnext;
+ if (!(lsu&0x01) && (lsu!=0)) {
+ // count the trailing zeros
+ Int drop=0;
+ for (;; drop++) { // [will terminate because lsu!=0]
+ if (exponent>=maxexponent) break; // don't chop real 0s
+ #if DECDPUN<=4
+ if ((lsu-QUOT10(lsu, drop+1)
+ *powers[drop+1])!=0) break; // found non-0 digit
+ #else
+ if (lsu%powers[drop+1]!=0) break; // found non-0 digit
+ #endif
+ exponent++;
+ }
+ if (drop>0) {
+ accunits=decShiftToLeast(accnext, accunits, drop);
+ accdigits=decGetDigits(accnext, accunits);
+ accunits=D2U(accdigits);
+ // [exponent was adjusted in the loop]
+ }
+ } // neither odd nor 0
+ #endif
+ } // exact divide
+ } // divide
+ else /* op!=DIVIDE */ {
+ // check for coefficient overflow
+ if (accdigits+exponent>reqdigits) {
+ *status|=DEC_Division_impossible;
+ break;
+ }
+ if (op & (REMAINDER|REMNEAR)) {
+ // [Here, the exponent will be 0, because var1 was adjusted
+ // appropriately.]
+ Int postshift; // work
+ Flag wasodd=0; // integer was odd
+ Unit *quotlsu; // for save
+ Int quotdigits; // ..
+
+ bits=lhs->bits; // remainder sign is always as lhs
+
+ // Fastpath when residue is truly 0 is worthwhile [and
+ // simplifies the code below]
+ if (*var1==0 && var1units==1) { // residue is 0
+ Int exp=lhs->exponent; // save min(exponents)
+ if (rhs->exponent<exp) exp=rhs->exponent;
+ decNumberZero(res); // 0 coefficient
+ #if DECSUBSET
+ if (set->extended)
+ #endif
+ res->exponent=exp; // .. with proper exponent
+ res->bits=(uByte)(bits&DECNEG); // [cleaned]
+ decFinish(res, set, &residue, status); // might clamp
+ break;
+ }
+ // note if the quotient was odd
+ if (*accnext & 0x01) wasodd=1; // acc is odd
+ quotlsu=accnext; // save in case need to reinspect
+ quotdigits=accdigits; // ..
+
+ // treat the residue, in var1, as the value to return, via acc
+ // calculate the unused zero digits. This is the smaller of:
+ // var1 initial padding (saved above)
+ // var2 residual padding, which happens to be given by:
+ postshift=var1initpad+exponent-lhs->exponent+rhs->exponent;
+ // [the 'exponent' term accounts for the shifts during divide]
+ if (var1initpad<postshift) postshift=var1initpad;
+
+ // shift var1 the requested amount, and adjust its digits
+ var1units=decShiftToLeast(var1, var1units, postshift);
+ accnext=var1;
+ accdigits=decGetDigits(var1, var1units);
+ accunits=D2U(accdigits);
+
+ exponent=lhs->exponent; // exponent is smaller of lhs & rhs
+ if (rhs->exponent<exponent) exponent=rhs->exponent;
+
+ // Now correct the result if doing remainderNear; if it
+ // (looking just at coefficients) is > rhs/2, or == rhs/2 and
+ // the integer was odd then the result should be rem-rhs.
+ if (op&REMNEAR) {
+ Int compare, tarunits; // work
+ Unit *up; // ..
+ // calculate remainder*2 into the var1 buffer (which has
+ // 'headroom' of an extra unit and hence enough space)
+ // [a dedicated 'double' loop would be faster, here]
+ tarunits=decUnitAddSub(accnext, accunits, accnext, accunits,
+ 0, accnext, 1);
+ // decDumpAr('r', accnext, tarunits);
+
+ // Here, accnext (var1) holds tarunits Units with twice the
+ // remainder's coefficient, which must now be compared to the
+ // RHS. The remainder's exponent may be smaller than the RHS's.
+ compare=decUnitCompare(accnext, tarunits, rhs->lsu, D2U(rhs->digits),
+ rhs->exponent-exponent);
+ if (compare==BADINT) { // deep trouble
+ *status|=DEC_Insufficient_storage;
+ break;}
+
+ // now restore the remainder by dividing by two; the lsu
+ // is known to be even.
+ for (up=accnext; up<accnext+tarunits; up++) {
+ Int half; // half to add to lower unit
+ half=*up & 0x01;
+ *up/=2; // [shift]
+ if (!half) continue;
+ *(up-1)+=(DECDPUNMAX+1)/2;
+ }
+ // [accunits still describes the original remainder length]
+
+ if (compare>0 || (compare==0 && wasodd)) { // adjustment needed
+ Int exp, expunits, exprem; // work
+ // This is effectively causing round-up of the quotient,
+ // so if it was the rare case where it was full and all
+ // nines, it would overflow and hence division-impossible
+ // should be raised
+ Flag allnines=0; // 1 if quotient all nines
+ if (quotdigits==reqdigits) { // could be borderline
+ for (up=quotlsu; ; up++) {
+ if (quotdigits>DECDPUN) {
+ if (*up!=DECDPUNMAX) break;// non-nines
+ }
+ else { // this is the last Unit
+ if (*up==powers[quotdigits]-1) allnines=1;
+ break;
+ }
+ quotdigits-=DECDPUN; // checked those digits
+ } // up
+ } // borderline check
+ if (allnines) {
+ *status|=DEC_Division_impossible;
+ break;}
+
+ // rem-rhs is needed; the sign will invert. Again, var1
+ // can safely be used for the working Units array.
+ exp=rhs->exponent-exponent; // RHS padding needed
+ // Calculate units and remainder from exponent.
+ expunits=exp/DECDPUN;
+ exprem=exp%DECDPUN;
+ // subtract [A+B*(-m)]; the result will always be negative
+ accunits=-decUnitAddSub(accnext, accunits,
+ rhs->lsu, D2U(rhs->digits),
+ expunits, accnext, -(Int)powers[exprem]);
+ accdigits=decGetDigits(accnext, accunits); // count digits exactly
+ accunits=D2U(accdigits); // and recalculate the units for copy
+ // [exponent is as for original remainder]
+ bits^=DECNEG; // flip the sign
+ }
+ } // REMNEAR
+ } // REMAINDER or REMNEAR
+ } // not DIVIDE
+
+ // Set exponent and bits
+ res->exponent=exponent;
+ res->bits=(uByte)(bits&DECNEG); // [cleaned]
+
+ // Now the coefficient.
+ decSetCoeff(res, set, accnext, accdigits, &residue, status);
+
+ decFinish(res, set, &residue, status); // final cleanup
+
+ #if DECSUBSET
+ // If a divide then strip trailing zeros if subset [after round]
+ if (!set->extended && (op==DIVIDE)) decTrim(res, set, 0, 1, &dropped);
+ #endif
+ } while(0); // end protected
+
+ if (varalloc!=NULL) free(varalloc); // drop any storage used
+ if (allocacc!=NULL) free(allocacc); // ..
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decDivideOp
+
+/* ------------------------------------------------------------------ */
+/* decMultiplyOp -- multiplication operation */
+/* */
+/* This routine performs the multiplication C=A x B. */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X*X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* status is the usual accumulator */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* ------------------------------------------------------------------ */
+/* 'Classic' multiplication is used rather than Karatsuba, as the */
+/* latter would give only a minor improvement for the short numbers */
+/* expected to be handled most (and uses much more memory). */
+/* */
+/* There are two major paths here: the general-purpose ('old code') */
+/* path which handles all DECDPUN values, and a fastpath version */
+/* which is used if 64-bit ints are available, DECDPUN<=4, and more */
+/* than two calls to decUnitAddSub would be made. */
+/* */
+/* The fastpath version lumps units together into 8-digit or 9-digit */
+/* chunks, and also uses a lazy carry strategy to minimise expensive */
+/* 64-bit divisions. The chunks are then broken apart again into */
+/* units for continuing processing. Despite this overhead, the */
+/* fastpath can speed up some 16-digit operations by 10x (and much */
+/* more for higher-precision calculations). */
+/* */
+/* A buffer always has to be used for the accumulator; in the */
+/* fastpath, buffers are also always needed for the chunked copies of */
+/* of the operand coefficients. */
+/* Static buffers are larger than needed just for multiply, to allow */
+/* for calls from other operations (notably exp). */
+/* ------------------------------------------------------------------ */
+#define FASTMUL (DECUSE64 && DECDPUN<5)
+static decNumber * decMultiplyOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ uInt *status) {
+ Int accunits; // Units of accumulator in use
+ Int exponent; // work
+ Int residue=0; // rounding residue
+ uByte bits; // result sign
+ Unit *acc; // -> accumulator Unit array
+ Int needbytes; // size calculator
+ void *allocacc=NULL; // -> allocated accumulator, iff allocated
+ Unit accbuff[SD2U(DECBUFFER*4+1)]; // buffer (+1 for DECBUFFER==0,
+ // *4 for calls from other operations)
+ const Unit *mer, *mermsup; // work
+ Int madlength; // Units in multiplicand
+ Int shift; // Units to shift multiplicand by
+
+ #if FASTMUL
+ // if DECDPUN is 1 or 3 work in base 10**9, otherwise
+ // (DECDPUN is 2 or 4) then work in base 10**8
+ #if DECDPUN & 1 // odd
+ #define FASTBASE 1000000000 // base
+ #define FASTDIGS 9 // digits in base
+ #define FASTLAZY 18 // carry resolution point [1->18]
+ #else
+ #define FASTBASE 100000000
+ #define FASTDIGS 8
+ #define FASTLAZY 1844 // carry resolution point [1->1844]
+ #endif
+ // three buffers are used, two for chunked copies of the operands
+ // (base 10**8 or base 10**9) and one base 2**64 accumulator with
+ // lazy carry evaluation
+ uInt zlhibuff[(DECBUFFER*2+1)/8+1]; // buffer (+1 for DECBUFFER==0)
+ uInt *zlhi=zlhibuff; // -> lhs array
+ uInt *alloclhi=NULL; // -> allocated buffer, iff allocated
+ uInt zrhibuff[(DECBUFFER*2+1)/8+1]; // buffer (+1 for DECBUFFER==0)
+ uInt *zrhi=zrhibuff; // -> rhs array
+ uInt *allocrhi=NULL; // -> allocated buffer, iff allocated
+ uLong zaccbuff[(DECBUFFER*2+1)/4+2]; // buffer (+1 for DECBUFFER==0)
+ // [allocacc is shared for both paths, as only one will run]
+ uLong *zacc=zaccbuff; // -> accumulator array for exact result
+ #if DECDPUN==1
+ Int zoff; // accumulator offset
+ #endif
+ uInt *lip, *rip; // item pointers
+ uInt *lmsi, *rmsi; // most significant items
+ Int ilhs, irhs, iacc; // item counts in the arrays
+ Int lazy; // lazy carry counter
+ uLong lcarry; // uLong carry
+ uInt carry; // carry (NB not uLong)
+ Int count; // work
+ const Unit *cup; // ..
+ Unit *up; // ..
+ uLong *lp; // ..
+ Int p; // ..
+ #endif
+
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // -> allocated buffer, iff allocated
+ decNumber *allocrhs=NULL; // -> allocated buffer, iff allocated
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // precalculate result sign
+ bits=(uByte)((lhs->bits^rhs->bits)&DECNEG);
+
+ // handle infinities and NaNs
+ if (SPECIALARGS) { // a special bit set
+ if (SPECIALARGS & (DECSNAN | DECNAN)) { // one or two NaNs
+ decNaNs(res, lhs, rhs, set, status);
+ return res;}
+ // one or two infinities; Infinity * 0 is invalid
+ if (((lhs->bits & DECINF)==0 && ISZERO(lhs))
+ ||((rhs->bits & DECINF)==0 && ISZERO(rhs))) {
+ *status|=DEC_Invalid_operation;
+ return res;}
+ decNumberZero(res);
+ res->bits=bits|DECINF; // infinity
+ return res;}
+
+ // For best speed, as in DMSRCN [the original Rexx numerics
+ // module], use the shorter number as the multiplier (rhs) and
+ // the longer as the multiplicand (lhs) to minimise the number of
+ // adds (partial products)
+ if (lhs->digits<rhs->digits) { // swap...
+ const decNumber *hold=lhs;
+ lhs=rhs;
+ rhs=hold;
+ }
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>set->digits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ #if FASTMUL // fastpath can be used
+ // use the fast path if there are enough digits in the shorter
+ // operand to make the setup and takedown worthwhile
+ #define NEEDTWO (DECDPUN*2) // within two decUnitAddSub calls
+ if (rhs->digits>NEEDTWO) { // use fastpath...
+ // calculate the number of elements in each array
+ ilhs=(lhs->digits+FASTDIGS-1)/FASTDIGS; // [ceiling]
+ irhs=(rhs->digits+FASTDIGS-1)/FASTDIGS; // ..
+ iacc=ilhs+irhs;
+
+ // allocate buffers if required, as usual
+ needbytes=ilhs*sizeof(uInt);
+ if (needbytes>(Int)sizeof(zlhibuff)) {
+ alloclhi=(uInt *)malloc(needbytes);
+ zlhi=alloclhi;}
+ needbytes=irhs*sizeof(uInt);
+ if (needbytes>(Int)sizeof(zrhibuff)) {
+ allocrhi=(uInt *)malloc(needbytes);
+ zrhi=allocrhi;}
+
+ // Allocating the accumulator space needs a special case when
+ // DECDPUN=1 because when converting the accumulator to Units
+ // after the multiplication each 8-byte item becomes 9 1-byte
+ // units. Therefore iacc extra bytes are needed at the front
+ // (rounded up to a multiple of 8 bytes), and the uLong
+ // accumulator starts offset the appropriate number of units
+ // to the right to avoid overwrite during the unchunking.
+ needbytes=iacc*sizeof(uLong);
+ #if DECDPUN==1
+ zoff=(iacc+7)/8; // items to offset by
+ needbytes+=zoff*8;
+ #endif
+ if (needbytes>(Int)sizeof(zaccbuff)) {
+ allocacc=(uLong *)malloc(needbytes);
+ zacc=(uLong *)allocacc;}
+ if (zlhi==NULL||zrhi==NULL||zacc==NULL) {
+ *status|=DEC_Insufficient_storage;
+ break;}
+
+ acc=(Unit *)zacc; // -> target Unit array
+ #if DECDPUN==1
+ zacc+=zoff; // start uLong accumulator to right
+ #endif
+
+ // assemble the chunked copies of the left and right sides
+ for (count=lhs->digits, cup=lhs->lsu, lip=zlhi; count>0; lip++)
+ for (p=0, *lip=0; p<FASTDIGS && count>0;
+ p+=DECDPUN, cup++, count-=DECDPUN)
+ *lip+=*cup*powers[p];
+ lmsi=lip-1; // save -> msi
+ for (count=rhs->digits, cup=rhs->lsu, rip=zrhi; count>0; rip++)
+ for (p=0, *rip=0; p<FASTDIGS && count>0;
+ p+=DECDPUN, cup++, count-=DECDPUN)
+ *rip+=*cup*powers[p];
+ rmsi=rip-1; // save -> msi
+
+ // zero the accumulator
+ for (lp=zacc; lp<zacc+iacc; lp++) *lp=0;
+
+ /* Start the multiplication */
+ // Resolving carries can dominate the cost of accumulating the
+ // partial products, so this is only done when necessary.
+ // Each uLong item in the accumulator can hold values up to
+ // 2**64-1, and each partial product can be as large as
+ // (10**FASTDIGS-1)**2. When FASTDIGS=9, this can be added to
+ // itself 18.4 times in a uLong without overflowing, so during
+ // the main calculation resolution is carried out every 18th
+ // add -- every 162 digits. Similarly, when FASTDIGS=8, the
+ // partial products can be added to themselves 1844.6 times in
+ // a uLong without overflowing, so intermediate carry
+ // resolution occurs only every 14752 digits. Hence for common
+ // short numbers usually only the one final carry resolution
+ // occurs.
+ // (The count is set via FASTLAZY to simplify experiments to
+ // measure the value of this approach: a 35% improvement on a
+ // [34x34] multiply.)
+ lazy=FASTLAZY; // carry delay count
+ for (rip=zrhi; rip<=rmsi; rip++) { // over each item in rhs
+ lp=zacc+(rip-zrhi); // where to add the lhs
+ for (lip=zlhi; lip<=lmsi; lip++, lp++) { // over each item in lhs
+ *lp+=(uLong)(*lip)*(*rip); // [this should in-line]
+ } // lip loop
+ lazy--;
+ if (lazy>0 && rip!=rmsi) continue;
+ lazy=FASTLAZY; // reset delay count
+ // spin up the accumulator resolving overflows
+ for (lp=zacc; lp<zacc+iacc; lp++) {
+ if (*lp<FASTBASE) continue; // it fits
+ lcarry=*lp/FASTBASE; // top part [slow divide]
+ // lcarry can exceed 2**32-1, so check again; this check
+ // and occasional extra divide (slow) is well worth it, as
+ // it allows FASTLAZY to be increased to 18 rather than 4
+ // in the FASTDIGS=9 case
+ if (lcarry<FASTBASE) carry=(uInt)lcarry; // [usual]
+ else { // two-place carry [fairly rare]
+ uInt carry2=(uInt)(lcarry/FASTBASE); // top top part
+ *(lp+2)+=carry2; // add to item+2
+ *lp-=((uLong)FASTBASE*FASTBASE*carry2); // [slow]
+ carry=(uInt)(lcarry-((uLong)FASTBASE*carry2)); // [inline]
+ }
+ *(lp+1)+=carry; // add to item above [inline]
+ *lp-=((uLong)FASTBASE*carry); // [inline]
+ } // carry resolution
+ } // rip loop
+
+ // The multiplication is complete; time to convert back into
+ // units. This can be done in-place in the accumulator and in
+ // 32-bit operations, because carries were resolved after the
+ // final add. This needs N-1 divides and multiplies for
+ // each item in the accumulator (which will become up to N
+ // units, where 2<=N<=9).
+ for (lp=zacc, up=acc; lp<zacc+iacc; lp++) {
+ uInt item=(uInt)*lp; // decapitate to uInt
+ for (p=0; p<FASTDIGS-DECDPUN; p+=DECDPUN, up++) {
+ uInt part=item/(DECDPUNMAX+1);
+ *up=(Unit)(item-(part*(DECDPUNMAX+1)));
+ item=part;
+ } // p
+ *up=(Unit)item; up++; // [final needs no division]
+ } // lp
+ accunits=up-acc; // count of units
+ }
+ else { // here to use units directly, without chunking ['old code']
+ #endif
+
+ // if accumulator will be too long for local storage, then allocate
+ acc=accbuff; // -> assume buffer for accumulator
+ needbytes=(D2U(lhs->digits)+D2U(rhs->digits))*sizeof(Unit);
+ if (needbytes>(Int)sizeof(accbuff)) {
+ allocacc=(Unit *)malloc(needbytes);
+ if (allocacc==NULL) {*status|=DEC_Insufficient_storage; break;}
+ acc=(Unit *)allocacc; // use the allocated space
+ }
+
+ /* Now the main long multiplication loop */
+ // Unlike the equivalent in the IBM Java implementation, there
+ // is no advantage in calculating from msu to lsu. So, do it
+ // by the book, as it were.
+ // Each iteration calculates ACC=ACC+MULTAND*MULT
+ accunits=1; // accumulator starts at '0'
+ *acc=0; // .. (lsu=0)
+ shift=0; // no multiplicand shift at first
+ madlength=D2U(lhs->digits); // this won't change
+ mermsup=rhs->lsu+D2U(rhs->digits); // -> msu+1 of multiplier
+
+ for (mer=rhs->lsu; mer<mermsup; mer++) {
+ // Here, *mer is the next Unit in the multiplier to use
+ // If non-zero [optimization] add it...
+ if (*mer!=0) accunits=decUnitAddSub(&acc[shift], accunits-shift,
+ lhs->lsu, madlength, 0,
+ &acc[shift], *mer)
+ + shift;
+ else { // extend acc with a 0; it will be used shortly
+ *(acc+accunits)=0; // [this avoids length of <=0 later]
+ accunits++;
+ }
+ // multiply multiplicand by 10**DECDPUN for next Unit to left
+ shift++; // add this for 'logical length'
+ } // n
+ #if FASTMUL
+ } // unchunked units
+ #endif
+ // common end-path
+ #if DECTRACE
+ decDumpAr('*', acc, accunits); // Show exact result
+ #endif
+
+ // acc now contains the exact result of the multiplication,
+ // possibly with a leading zero unit; build the decNumber from
+ // it, noting if any residue
+ res->bits=bits; // set sign
+ res->digits=decGetDigits(acc, accunits); // count digits exactly
+
+ // There can be a 31-bit wrap in calculating the exponent.
+ // This can only happen if both input exponents are negative and
+ // both their magnitudes are large. If there was a wrap, set a
+ // safe very negative exponent, from which decFinalize() will
+ // raise a hard underflow shortly.
+ exponent=lhs->exponent+rhs->exponent; // calculate exponent
+ if (lhs->exponent<0 && rhs->exponent<0 && exponent>0)
+ exponent=-2*DECNUMMAXE; // force underflow
+ res->exponent=exponent; // OK to overwrite now
+
+
+ // Set the coefficient. If any rounding, residue records
+ decSetCoeff(res, set, acc, res->digits, &residue, status);
+ decFinish(res, set, &residue, status); // final cleanup
+ } while(0); // end protected
+
+ if (allocacc!=NULL) free(allocacc); // drop any storage used
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ #if FASTMUL
+ if (allocrhi!=NULL) free(allocrhi); // ..
+ if (alloclhi!=NULL) free(alloclhi); // ..
+ #endif
+ return res;
+ } // decMultiplyOp
+
+/* ------------------------------------------------------------------ */
+/* decExpOp -- effect exponentiation */
+/* */
+/* This computes C = exp(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. status is updated but */
+/* not set. */
+/* */
+/* Restrictions: */
+/* */
+/* digits, emax, and -emin in the context must be less than */
+/* 2*DEC_MAX_MATH (1999998), and the rhs must be within these */
+/* bounds or a zero. This is an internal routine, so these */
+/* restrictions are contractual and not enforced. */
+/* */
+/* A finite result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* */
+/* Finite results will always be full precision and Inexact, except */
+/* when A is a zero or -Infinity (giving 1 or 0 respectively). */
+/* ------------------------------------------------------------------ */
+/* This approach used here is similar to the algorithm described in */
+/* */
+/* Variable Precision Exponential Function, T. E. Hull and */
+/* A. Abrham, ACM Transactions on Mathematical Software, Vol 12 #2, */
+/* pp79-91, ACM, June 1986. */
+/* */
+/* with the main difference being that the iterations in the series */
+/* evaluation are terminated dynamically (which does not require the */
+/* extra variable-precision variables which are expensive in this */
+/* context). */
+/* */
+/* The error analysis in Hull & Abrham's paper applies except for the */
+/* round-off error accumulation during the series evaluation. This */
+/* code does not precalculate the number of iterations and so cannot */
+/* use Horner's scheme. Instead, the accumulation is done at double- */
+/* precision, which ensures that the additions of the terms are exact */
+/* and do not accumulate round-off (and any round-off errors in the */
+/* terms themselves move 'to the right' faster than they can */
+/* accumulate). This code also extends the calculation by allowing, */
+/* in the spirit of other decNumber operators, the input to be more */
+/* precise than the result (the precision used is based on the more */
+/* precise of the input or requested result). */
+/* */
+/* Implementation notes: */
+/* */
+/* 1. This is separated out as decExpOp so it can be called from */
+/* other Mathematical functions (notably Ln) with a wider range */
+/* than normal. In particular, it can handle the slightly wider */
+/* (double) range needed by Ln (which has to be able to calculate */
+/* exp(-x) where x can be the tiniest number (Ntiny). */
+/* */
+/* 2. Normalizing x to be <=0.1 (instead of <=1) reduces loop */
+/* iterations by appoximately a third with additional (although */
+/* diminishing) returns as the range is reduced to even smaller */
+/* fractions. However, h (the power of 10 used to correct the */
+/* result at the end, see below) must be kept <=8 as otherwise */
+/* the final result cannot be computed. Hence the leverage is a */
+/* sliding value (8-h), where potentially the range is reduced */
+/* more for smaller values. */
+/* */
+/* The leverage that can be applied in this way is severely */
+/* limited by the cost of the raise-to-the power at the end, */
+/* which dominates when the number of iterations is small (less */
+/* than ten) or when rhs is short. As an example, the adjustment */
+/* x**10,000,000 needs 31 multiplications, all but one full-width. */
+/* */
+/* 3. The restrictions (especially precision) could be raised with */
+/* care, but the full decNumber range seems very hard within the */
+/* 32-bit limits. */
+/* */
+/* 4. The working precisions for the static buffers are twice the */
+/* obvious size to allow for calls from decNumberPower. */
+/* ------------------------------------------------------------------ */
+decNumber * decExpOp(decNumber *res, const decNumber *rhs,
+ decContext *set, uInt *status) {
+ uInt ignore=0; // working status
+ Int h; // adjusted exponent for 0.xxxx
+ Int p; // working precision
+ Int residue; // rounding residue
+ uInt needbytes; // for space calculations
+ const decNumber *x=rhs; // (may point to safe copy later)
+ decContext aset, tset, dset; // working contexts
+ Int comp; // work
+
+ // the argument is often copied to normalize it, so (unusually) it
+ // is treated like other buffers, using DECBUFFER, +1 in case
+ // DECBUFFER is 0
+ decNumber bufr[D2N(DECBUFFER*2+1)];
+ decNumber *allocrhs=NULL; // non-NULL if rhs buffer allocated
+
+ // the working precision will be no more than set->digits+8+1
+ // so for on-stack buffers DECBUFFER+9 is used, +1 in case DECBUFFER
+ // is 0 (and twice that for the accumulator)
+
+ // buffer for t, term (working precision plus)
+ decNumber buft[D2N(DECBUFFER*2+9+1)];
+ decNumber *allocbuft=NULL; // -> allocated buft, iff allocated
+ decNumber *t=buft; // term
+ // buffer for a, accumulator (working precision * 2), at least 9
+ decNumber bufa[D2N(DECBUFFER*4+18+1)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *a=bufa; // accumulator
+ // decNumber for the divisor term; this needs at most 9 digits
+ // and so can be fixed size [16 so can use standard context]
+ decNumber bufd[D2N(16)];
+ decNumber *d=bufd; // divisor
+ decNumber numone; // constant 1
+
+ #if DECCHECK
+ Int iterations=0; // for later sanity check
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ if (SPECIALARG) { // handle infinities and NaNs
+ if (decNumberIsInfinite(rhs)) { // an infinity
+ if (decNumberIsNegative(rhs)) // -Infinity -> +0
+ decNumberZero(res);
+ else decNumberCopy(res, rhs); // +Infinity -> self
+ }
+ else decNaNs(res, rhs, NULL, set, status); // a NaN
+ break;}
+
+ if (ISZERO(rhs)) { // zeros -> exact 1
+ decNumberZero(res); // make clean 1
+ *res->lsu=1; // ..
+ break;} // [no status to set]
+
+ // e**x when 0 < x < 0.66 is < 1+3x/2, hence can fast-path
+ // positive and negative tiny cases which will result in inexact
+ // 1. This also allows the later add-accumulate to always be
+ // exact (because its length will never be more than twice the
+ // working precision).
+ // The comparator (tiny) needs just one digit, so use the
+ // decNumber d for it (reused as the divisor, etc., below); its
+ // exponent is such that if x is positive it will have
+ // set->digits-1 zeros between the decimal point and the digit,
+ // which is 4, and if x is negative one more zero there as the
+ // more precise result will be of the form 0.9999999 rather than
+ // 1.0000001. Hence, tiny will be 0.0000004 if digits=7 and x>0
+ // or 0.00000004 if digits=7 and x<0. If RHS not larger than
+ // this then the result will be 1.000000
+ decNumberZero(d); // clean
+ *d->lsu=4; // set 4 ..
+ d->exponent=-set->digits; // * 10**(-d)
+ if (decNumberIsNegative(rhs)) d->exponent--; // negative case
+ comp=decCompare(d, rhs, 1); // signless compare
+ if (comp==BADINT) {
+ *status|=DEC_Insufficient_storage;
+ break;}
+ if (comp>=0) { // rhs < d
+ Int shift=set->digits-1;
+ decNumberZero(res); // set 1
+ *res->lsu=1; // ..
+ res->digits=decShiftToMost(res->lsu, 1, shift);
+ res->exponent=-shift; // make 1.0000...
+ *status|=DEC_Inexact | DEC_Rounded; // .. inexactly
+ break;} // tiny
+
+ // set up the context to be used for calculating a, as this is
+ // used on both paths below
+ decContextDefault(&aset, DEC_INIT_DECIMAL64);
+ // accumulator bounds are as requested (could underflow)
+ aset.emax=set->emax; // usual bounds
+ aset.emin=set->emin; // ..
+ aset.clamp=0; // and no concrete format
+
+ // calculate the adjusted (Hull & Abrham) exponent (where the
+ // decimal point is just to the left of the coefficient msd)
+ h=rhs->exponent+rhs->digits;
+ // if h>8 then 10**h cannot be calculated safely; however, when
+ // h=8 then exp(|rhs|) will be at least exp(1E+7) which is at
+ // least 6.59E+4342944, so (due to the restriction on Emax/Emin)
+ // overflow (or underflow to 0) is guaranteed -- so this case can
+ // be handled by simply forcing the appropriate excess
+ if (h>8) { // overflow/underflow
+ // set up here so Power call below will over or underflow to
+ // zero; set accumulator to either 2 or 0.02
+ // [stack buffer for a is always big enough for this]
+ decNumberZero(a);
+ *a->lsu=2; // not 1 but < exp(1)
+ if (decNumberIsNegative(rhs)) a->exponent=-2; // make 0.02
+ h=8; // clamp so 10**h computable
+ p=9; // set a working precision
+ }
+ else { // h<=8
+ Int maxlever=(rhs->digits>8?1:0);
+ // [could/should increase this for precisions >40 or so, too]
+
+ // if h is 8, cannot normalize to a lower upper limit because
+ // the final result will not be computable (see notes above),
+ // but leverage can be applied whenever h is less than 8.
+ // Apply as much as possible, up to a MAXLEVER digits, which
+ // sets the tradeoff against the cost of the later a**(10**h).
+ // As h is increased, the working precision below also
+ // increases to compensate for the "constant digits at the
+ // front" effect.
+ Int lever=MINI(8-h, maxlever); // leverage attainable
+ Int use=-rhs->digits-lever; // exponent to use for RHS
+ h+=lever; // apply leverage selected
+ if (h<0) { // clamp
+ use+=h; // [may end up subnormal]
+ h=0;
+ }
+ // Take a copy of RHS if it needs normalization (true whenever x>=1)
+ if (rhs->exponent!=use) {
+ decNumber *newrhs=bufr; // assume will fit on stack
+ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufr)) { // need malloc space
+ allocrhs=(decNumber *)malloc(needbytes);
+ if (allocrhs==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ newrhs=allocrhs; // use the allocated space
+ }
+ decNumberCopy(newrhs, rhs); // copy to safe space
+ newrhs->exponent=use; // normalize; now <1
+ x=newrhs; // ready for use
+ // decNumberShow(x);
+ }
+
+ // Now use the usual power series to evaluate exp(x). The
+ // series starts as 1 + x + x^2/2 ... so prime ready for the
+ // third term by setting the term variable t=x, the accumulator
+ // a=1, and the divisor d=2.
+
+ // First determine the working precision. From Hull & Abrham
+ // this is set->digits+h+2. However, if x is 'over-precise' we
+ // need to allow for all its digits to potentially participate
+ // (consider an x where all the excess digits are 9s) so in
+ // this case use x->digits+h+2
+ p=MAXI(x->digits, set->digits)+h+2; // [h<=8]
+
+ // a and t are variable precision, and depend on p, so space
+ // must be allocated for them if necessary
+
+ // the accumulator needs to be able to hold 2p digits so that
+ // the additions on the second and subsequent iterations are
+ // sufficiently exact.
+ needbytes=sizeof(decNumber)+(D2U(p*2)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ // the term needs to be able to hold p digits (which is
+ // guaranteed to be larger than x->digits, so the initial copy
+ // is safe); it may also be used for the raise-to-power
+ // calculation below, which needs an extra two digits
+ needbytes=sizeof(decNumber)+(D2U(p+2)-1)*sizeof(Unit);
+ if (needbytes>sizeof(buft)) { // need malloc space
+ allocbuft=(decNumber *)malloc(needbytes);
+ if (allocbuft==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ t=allocbuft; // use the allocated space
+ }
+
+ decNumberCopy(t, x); // term=x
+ decNumberZero(a); *a->lsu=1; // accumulator=1
+ decNumberZero(d); *d->lsu=2; // divisor=2
+ decNumberZero(&numone); *numone.lsu=1; // constant 1 for increment
+
+ // set up the contexts for calculating a, t, and d
+ decContextDefault(&tset, DEC_INIT_DECIMAL64);
+ dset=tset;
+ // accumulator bounds are set above, set precision now
+ aset.digits=p*2; // double
+ // term bounds avoid any underflow or overflow
+ tset.digits=p;
+ tset.emin=DEC_MIN_EMIN; // [emax is plenty]
+ // [dset.digits=16, etc., are sufficient]
+
+ // finally ready to roll
+ for (;;) {
+ #if DECCHECK
+ iterations++;
+ #endif
+ // only the status from the accumulation is interesting
+ // [but it should remain unchanged after first add]
+ decAddOp(a, a, t, &aset, 0, status); // a=a+t
+ decMultiplyOp(t, t, x, &tset, &ignore); // t=t*x
+ decDivideOp(t, t, d, &tset, DIVIDE, &ignore); // t=t/d
+ // the iteration ends when the term cannot affect the result,
+ // if rounded to p digits, which is when its value is smaller
+ // than the accumulator by p+1 digits. There must also be
+ // full precision in a.
+ if (((a->digits+a->exponent)>=(t->digits+t->exponent+p+1))
+ && (a->digits>=p)) break;
+ decAddOp(d, d, &numone, &dset, 0, &ignore); // d=d+1
+ } // iterate
+
+ #if DECCHECK
+ // just a sanity check; comment out test to show always
+ if (iterations>p+3)
+ printf("Exp iterations=%ld, status=%08lx, p=%ld, d=%ld\n",
+ (LI)iterations, (LI)*status, (LI)p, (LI)x->digits);
+ #endif
+ } // h<=8
+
+ // apply postconditioning: a=a**(10**h) -- this is calculated
+ // at a slightly higher precision than Hull & Abrham suggest
+ if (h>0) {
+ Int seenbit=0; // set once a 1-bit is seen
+ Int i; // counter
+ Int n=powers[h]; // always positive
+ aset.digits=p+2; // sufficient precision
+ // avoid the overhead and many extra digits of decNumberPower
+ // as all that is needed is the short 'multipliers' loop; here
+ // accumulate the answer into t
+ decNumberZero(t); *t->lsu=1; // acc=1
+ for (i=1;;i++){ // for each bit [top bit ignored]
+ // abandon if have had overflow or terminal underflow
+ if (*status & (DEC_Overflow|DEC_Underflow)) { // interesting?
+ if (*status&DEC_Overflow || ISZERO(t)) break;}
+ n=n<<1; // move next bit to testable position
+ if (n<0) { // top bit is set
+ seenbit=1; // OK, have a significant bit
+ decMultiplyOp(t, t, a, &aset, status); // acc=acc*x
+ }
+ if (i==31) break; // that was the last bit
+ if (!seenbit) continue; // no need to square 1
+ decMultiplyOp(t, t, t, &aset, status); // acc=acc*acc [square]
+ } /*i*/ // 32 bits
+ // decNumberShow(t);
+ a=t; // and carry on using t instead of a
+ }
+
+ // Copy and round the result to res
+ residue=1; // indicate dirt to right ..
+ if (ISZERO(a)) residue=0; // .. unless underflowed to 0
+ aset.digits=set->digits; // [use default rounding]
+ decCopyFit(res, a, &aset, &residue, status); // copy & shorten
+ decFinish(res, set, &residue, status); // cleanup/set flags
+ } while(0); // end protected
+
+ if (allocrhs !=NULL) free(allocrhs); // drop any storage used
+ if (allocbufa!=NULL) free(allocbufa); // ..
+ if (allocbuft!=NULL) free(allocbuft); // ..
+ // [status is handled by caller]
+ return res;
+ } // decExpOp
+
+/* ------------------------------------------------------------------ */
+/* Initial-estimate natural logarithm table */
+/* */
+/* LNnn -- 90-entry 16-bit table for values from .10 through .99. */
+/* The result is a 4-digit encode of the coefficient (c=the */
+/* top 14 bits encoding 0-9999) and a 2-digit encode of the */
+/* exponent (e=the bottom 2 bits encoding 0-3) */
+/* */
+/* The resulting value is given by: */
+/* */
+/* v = -c * 10**(-e-3) */
+/* */
+/* where e and c are extracted from entry k = LNnn[x-10] */
+/* where x is truncated (NB) into the range 10 through 99, */
+/* and then c = k>>2 and e = k&3. */
+/* ------------------------------------------------------------------ */
+const uShort LNnn[90]={9016, 8652, 8316, 8008, 7724, 7456, 7208,
+ 6972, 6748, 6540, 6340, 6148, 5968, 5792, 5628, 5464, 5312,
+ 5164, 5020, 4884, 4748, 4620, 4496, 4376, 4256, 4144, 4032,
+ 39233, 38181, 37157, 36157, 35181, 34229, 33297, 32389, 31501, 30629,
+ 29777, 28945, 28129, 27329, 26545, 25777, 25021, 24281, 23553, 22837,
+ 22137, 21445, 20769, 20101, 19445, 18801, 18165, 17541, 16925, 16321,
+ 15721, 15133, 14553, 13985, 13421, 12865, 12317, 11777, 11241, 10717,
+ 10197, 9685, 9177, 8677, 8185, 7697, 7213, 6737, 6269, 5801,
+ 5341, 4889, 4437, 39930, 35534, 31186, 26886, 22630, 18418, 14254,
+ 10130, 6046, 20055};
+
+/* ------------------------------------------------------------------ */
+/* decLnOp -- effect natural logarithm */
+/* */
+/* This computes C = ln(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Notable cases: */
+/* A<0 -> Invalid */
+/* A=0 -> -Infinity (Exact) */
+/* A=+Infinity -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* */
+/* Restrictions (as for Exp): */
+/* */
+/* digits, emax, and -emin in the context must be less than */
+/* DEC_MAX_MATH+11 (1000010), and the rhs must be within these */
+/* bounds or a zero. This is an internal routine, so these */
+/* restrictions are contractual and not enforced. */
+/* */
+/* A finite result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* The result is calculated using Newton's method, with each */
+/* iteration calculating a' = a + x * exp(-a) - 1. See, for example, */
+/* Epperson 1989. */
+/* */
+/* The iteration ends when the adjustment x*exp(-a)-1 is tiny enough. */
+/* This has to be calculated at the sum of the precision of x and the */
+/* working precision. */
+/* */
+/* Implementation notes: */
+/* */
+/* 1. This is separated out as decLnOp so it can be called from */
+/* other Mathematical functions (e.g., Log 10) with a wider range */
+/* than normal. In particular, it can handle the slightly wider */
+/* (+9+2) range needed by a power function. */
+/* */
+/* 2. The speed of this function is about 10x slower than exp, as */
+/* it typically needs 4-6 iterations for short numbers, and the */
+/* extra precision needed adds a squaring effect, twice. */
+/* */
+/* 3. Fastpaths are included for ln(10) and ln(2), up to length 40, */
+/* as these are common requests. ln(10) is used by log10(x). */
+/* */
+/* 4. An iteration might be saved by widening the LNnn table, and */
+/* would certainly save at least one if it were made ten times */
+/* bigger, too (for truncated fractions 0.100 through 0.999). */
+/* However, for most practical evaluations, at least four or five */
+/* iterations will be neede -- so this would only speed up by */
+/* 20-25% and that probably does not justify increasing the table */
+/* size. */
+/* */
+/* 5. The static buffers are larger than might be expected to allow */
+/* for calls from decNumberPower. */
+/* ------------------------------------------------------------------ */
+decNumber * decLnOp(decNumber *res, const decNumber *rhs,
+ decContext *set, uInt *status) {
+ uInt ignore=0; // working status accumulator
+ uInt needbytes; // for space calculations
+ Int residue; // rounding residue
+ Int r; // rhs=f*10**r [see below]
+ Int p; // working precision
+ Int pp; // precision for iteration
+ Int t; // work
+
+ // buffers for a (accumulator, typically precision+2) and b
+ // (adjustment calculator, same size)
+ decNumber bufa[D2N(DECBUFFER+12)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *a=bufa; // accumulator/work
+ decNumber bufb[D2N(DECBUFFER*2+2)];
+ decNumber *allocbufb=NULL; // -> allocated bufa, iff allocated
+ decNumber *b=bufb; // adjustment/work
+
+ decNumber numone; // constant 1
+ decNumber cmp; // work
+ decContext aset, bset; // working contexts
+
+ #if DECCHECK
+ Int iterations=0; // for later sanity check
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ if (SPECIALARG) { // handle infinities and NaNs
+ if (decNumberIsInfinite(rhs)) { // an infinity
+ if (decNumberIsNegative(rhs)) // -Infinity -> error
+ *status|=DEC_Invalid_operation;
+ else decNumberCopy(res, rhs); // +Infinity -> self
+ }
+ else decNaNs(res, rhs, NULL, set, status); // a NaN
+ break;}
+
+ if (ISZERO(rhs)) { // +/- zeros -> -Infinity
+ decNumberZero(res); // make clean
+ res->bits=DECINF|DECNEG; // set - infinity
+ break;} // [no status to set]
+
+ // Non-zero negatives are bad...
+ if (decNumberIsNegative(rhs)) { // -x -> error
+ *status|=DEC_Invalid_operation;
+ break;}
+
+ // Here, rhs is positive, finite, and in range
+
+ // lookaside fastpath code for ln(2) and ln(10) at common lengths
+ if (rhs->exponent==0 && set->digits<=40) {
+ #if DECDPUN==1
+ if (rhs->lsu[0]==0 && rhs->lsu[1]==1 && rhs->digits==2) { // ln(10)
+ #else
+ if (rhs->lsu[0]==10 && rhs->digits==2) { // ln(10)
+ #endif
+ aset=*set; aset.round=DEC_ROUND_HALF_EVEN;
+ #define LN10 "2.302585092994045684017991454684364207601"
+ decNumberFromString(res, LN10, &aset);
+ *status|=(DEC_Inexact | DEC_Rounded); // is inexact
+ break;}
+ if (rhs->lsu[0]==2 && rhs->digits==1) { // ln(2)
+ aset=*set; aset.round=DEC_ROUND_HALF_EVEN;
+ #define LN2 "0.6931471805599453094172321214581765680755"
+ decNumberFromString(res, LN2, &aset);
+ *status|=(DEC_Inexact | DEC_Rounded);
+ break;}
+ } // integer and short
+
+ // Determine the working precision. This is normally the
+ // requested precision + 2, with a minimum of 9. However, if
+ // the rhs is 'over-precise' then allow for all its digits to
+ // potentially participate (consider an rhs where all the excess
+ // digits are 9s) so in this case use rhs->digits+2.
+ p=MAXI(rhs->digits, MAXI(set->digits, 7))+2;
+
+ // Allocate space for the accumulator and the high-precision
+ // adjustment calculator, if necessary. The accumulator must
+ // be able to hold p digits, and the adjustment up to
+ // rhs->digits+p digits. They are also made big enough for 16
+ // digits so that they can be used for calculating the initial
+ // estimate.
+ needbytes=sizeof(decNumber)+(D2U(MAXI(p,16))-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ pp=p+rhs->digits;
+ needbytes=sizeof(decNumber)+(D2U(MAXI(pp,16))-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufb)) { // need malloc space
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufb==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ b=allocbufb; // use the allocated space
+ }
+
+ // Prepare an initial estimate in acc. Calculate this by
+ // considering the coefficient of x to be a normalized fraction,
+ // f, with the decimal point at far left and multiplied by
+ // 10**r. Then, rhs=f*10**r and 0.1<=f<1, and
+ // ln(x) = ln(f) + ln(10)*r
+ // Get the initial estimate for ln(f) from a small lookup
+ // table (see above) indexed by the first two digits of f,
+ // truncated.
+
+ decContextDefault(&aset, DEC_INIT_DECIMAL64); // 16-digit extended
+ r=rhs->exponent+rhs->digits; // 'normalised' exponent
+ decNumberFromInt32(a, r); // a=r
+ decNumberFromInt32(b, 2302585); // b=ln(10) (2.302585)
+ b->exponent=-6; // ..
+ decMultiplyOp(a, a, b, &aset, &ignore); // a=a*b
+ // now get top two digits of rhs into b by simple truncate and
+ // force to integer
+ residue=0; // (no residue)
+ aset.digits=2; aset.round=DEC_ROUND_DOWN;
+ decCopyFit(b, rhs, &aset, &residue, &ignore); // copy & shorten
+ b->exponent=0; // make integer
+ t=decGetInt(b); // [cannot fail]
+ if (t<10) t=X10(t); // adjust single-digit b
+ t=LNnn[t-10]; // look up ln(b)
+ decNumberFromInt32(b, t>>2); // b=ln(b) coefficient
+ b->exponent=-(t&3)-3; // set exponent
+ b->bits=DECNEG; // ln(0.10)->ln(0.99) always -ve
+ aset.digits=16; aset.round=DEC_ROUND_HALF_EVEN; // restore
+ decAddOp(a, a, b, &aset, 0, &ignore); // acc=a+b
+ // the initial estimate is now in a, with up to 4 digits correct.
+ // When rhs is at or near Nmax the estimate will be low, so we
+ // will approach it from below, avoiding overflow when calling exp.
+
+ decNumberZero(&numone); *numone.lsu=1; // constant 1 for adjustment
+
+ // accumulator bounds are as requested (could underflow, but
+ // cannot overflow)
+ aset.emax=set->emax;
+ aset.emin=set->emin;
+ aset.clamp=0; // no concrete format
+ // set up a context to be used for the multiply and subtract
+ bset=aset;
+ bset.emax=DEC_MAX_MATH*2; // use double bounds for the
+ bset.emin=-DEC_MAX_MATH*2; // adjustment calculation
+ // [see decExpOp call below]
+ // for each iteration double the number of digits to calculate,
+ // up to a maximum of p
+ pp=9; // initial precision
+ // [initially 9 as then the sequence starts 7+2, 16+2, and
+ // 34+2, which is ideal for standard-sized numbers]
+ aset.digits=pp; // working context
+ bset.digits=pp+rhs->digits; // wider context
+ for (;;) { // iterate
+ #if DECCHECK
+ iterations++;
+ if (iterations>24) break; // consider 9 * 2**24
+ #endif
+ // calculate the adjustment (exp(-a)*x-1) into b. This is a
+ // catastrophic subtraction but it really is the difference
+ // from 1 that is of interest.
+ // Use the internal entry point to Exp as it allows the double
+ // range for calculating exp(-a) when a is the tiniest subnormal.
+ a->bits^=DECNEG; // make -a
+ decExpOp(b, a, &bset, &ignore); // b=exp(-a)
+ a->bits^=DECNEG; // restore sign of a
+ // now multiply by rhs and subtract 1, at the wider precision
+ decMultiplyOp(b, b, rhs, &bset, &ignore); // b=b*rhs
+ decAddOp(b, b, &numone, &bset, DECNEG, &ignore); // b=b-1
+
+ // the iteration ends when the adjustment cannot affect the
+ // result by >=0.5 ulp (at the requested digits), which
+ // is when its value is smaller than the accumulator by
+ // set->digits+1 digits (or it is zero) -- this is a looser
+ // requirement than for Exp because all that happens to the
+ // accumulator after this is the final rounding (but note that
+ // there must also be full precision in a, or a=0).
+
+ if (decNumberIsZero(b) ||
+ (a->digits+a->exponent)>=(b->digits+b->exponent+set->digits+1)) {
+ if (a->digits==p) break;
+ if (decNumberIsZero(a)) {
+ decCompareOp(&cmp, rhs, &numone, &aset, COMPARE, &ignore); // rhs=1 ?
+ if (cmp.lsu[0]==0) a->exponent=0; // yes, exact 0
+ else *status|=(DEC_Inexact | DEC_Rounded); // no, inexact
+ break;
+ }
+ // force padding if adjustment has gone to 0 before full length
+ if (decNumberIsZero(b)) b->exponent=a->exponent-p;
+ }
+
+ // not done yet ...
+ decAddOp(a, a, b, &aset, 0, &ignore); // a=a+b for next estimate
+ if (pp==p) continue; // precision is at maximum
+ // lengthen the next calculation
+ pp=pp*2; // double precision
+ if (pp>p) pp=p; // clamp to maximum
+ aset.digits=pp; // working context
+ bset.digits=pp+rhs->digits; // wider context
+ } // Newton's iteration
+
+ #if DECCHECK
+ // just a sanity check; remove the test to show always
+ if (iterations>24)
+ printf("Ln iterations=%ld, status=%08lx, p=%ld, d=%ld\n",
+ (LI)iterations, (LI)*status, (LI)p, (LI)rhs->digits);
+ #endif
+
+ // Copy and round the result to res
+ residue=1; // indicate dirt to right
+ if (ISZERO(a)) residue=0; // .. unless underflowed to 0
+ aset.digits=set->digits; // [use default rounding]
+ decCopyFit(res, a, &aset, &residue, status); // copy & shorten
+ decFinish(res, set, &residue, status); // cleanup/set flags
+ } while(0); // end protected
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ // [status is handled by caller]
+ return res;
+ } // decLnOp
+
+/* ------------------------------------------------------------------ */
+/* decQuantizeOp -- force exponent to requested value */
+/* */
+/* This computes C = op(A, B), where op adjusts the coefficient */
+/* of C (by rounding or shifting) such that the exponent (-scale) */
+/* of C has the value B or matches the exponent of B. */
+/* The numerical value of C will equal A, except for the effects of */
+/* any rounding that occurred. */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the requested exponent */
+/* set is the context */
+/* quant is 1 for quantize or 0 for rescale */
+/* status is the status accumulator (this can be called without */
+/* risk of control loss) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* after the operation is guaranteed to be that requested. */
+/* ------------------------------------------------------------------ */
+static decNumber * decQuantizeOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ Flag quant, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ const decNumber *inrhs=rhs; // save original rhs
+ Int reqdigits=set->digits; // requested DIGITS
+ Int reqexp; // requested exponent [-scale]
+ Int residue=0; // rounding residue
+ Int etiny=set->emin-(reqdigits-1);
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) { // [this only checks lostDigits]
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // Handle special values
+ if (SPECIALARGS) {
+ // NaNs get usual processing
+ if (SPECIALARGS & (DECSNAN | DECNAN))
+ decNaNs(res, lhs, rhs, set, status);
+ // one infinity but not both is bad
+ else if ((lhs->bits ^ rhs->bits) & DECINF)
+ *status|=DEC_Invalid_operation;
+ // both infinity: return lhs
+ else decNumberCopy(res, lhs); // [nop if in place]
+ break;
+ }
+
+ // set requested exponent
+ if (quant) reqexp=inrhs->exponent; // quantize -- match exponents
+ else { // rescale -- use value of rhs
+ // Original rhs must be an integer that fits and is in range,
+ // which could be from -1999999997 to +999999999, thanks to
+ // subnormals
+ reqexp=decGetInt(inrhs); // [cannot fail]
+ }
+
+ #if DECSUBSET
+ if (!set->extended) etiny=set->emin; // no subnormals
+ #endif
+
+ if (reqexp==BADINT // bad (rescale only) or ..
+ || reqexp==BIGODD || reqexp==BIGEVEN // very big (ditto) or ..
+ || (reqexp<etiny) // < lowest
+ || (reqexp>set->emax)) { // > emax
+ *status|=DEC_Invalid_operation;
+ break;}
+
+ // the RHS has been processed, so it can be overwritten now if necessary
+ if (ISZERO(lhs)) { // zero coefficient unchanged
+ decNumberCopy(res, lhs); // [nop if in place]
+ res->exponent=reqexp; // .. just set exponent
+ #if DECSUBSET
+ if (!set->extended) res->bits=0; // subset specification; no -0
+ #endif
+ }
+ else { // non-zero lhs
+ Int adjust=reqexp-lhs->exponent; // digit adjustment needed
+ // if adjusted coefficient will definitely not fit, give up now
+ if ((lhs->digits-adjust)>reqdigits) {
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+
+ if (adjust>0) { // increasing exponent
+ // this will decrease the length of the coefficient by adjust
+ // digits, and must round as it does so
+ decContext workset; // work
+ workset=*set; // clone rounding, etc.
+ workset.digits=lhs->digits-adjust; // set requested length
+ // [note that the latter can be <1, here]
+ decCopyFit(res, lhs, &workset, &residue, status); // fit to result
+ decApplyRound(res, &workset, residue, status); // .. and round
+ residue=0; // [used]
+ // If just rounded a 999s case, exponent will be off by one;
+ // adjust back (after checking space), if so.
+ if (res->exponent>reqexp) {
+ // re-check needed, e.g., for quantize(0.9999, 0.001) under
+ // set->digits==3
+ if (res->digits==reqdigits) { // cannot shift by 1
+ *status&=~(DEC_Inexact | DEC_Rounded); // [clean these]
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ res->digits=decShiftToMost(res->lsu, res->digits, 1); // shift
+ res->exponent--; // (re)adjust the exponent.
+ }
+ #if DECSUBSET
+ if (ISZERO(res) && !set->extended) res->bits=0; // subset; no -0
+ #endif
+ } // increase
+ else /* adjust<=0 */ { // decreasing or = exponent
+ // this will increase the length of the coefficient by -adjust
+ // digits, by adding zero or more trailing zeros; this is
+ // already checked for fit, above
+ decNumberCopy(res, lhs); // [it will fit]
+ // if padding needed (adjust<0), add it now...
+ if (adjust<0) {
+ res->digits=decShiftToMost(res->lsu, res->digits, -adjust);
+ res->exponent+=adjust; // adjust the exponent
+ }
+ } // decrease
+ } // non-zero
+
+ // Check for overflow [do not use Finalize in this case, as an
+ // overflow here is a "don't fit" situation]
+ if (res->exponent>set->emax-res->digits+1) { // too big
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ else {
+ decFinalize(res, set, &residue, status); // set subnormal flags
+ *status&=~DEC_Underflow; // suppress Underflow [as per 754]
+ }
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // drop any storage used
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decQuantizeOp
+
+/* ------------------------------------------------------------------ */
+/* decCompareOp -- compare, min, or max two Numbers */
+/* */
+/* This computes C = A ? B and carries out one of four operations: */
+/* COMPARE -- returns the signum (as a number) giving the */
+/* result of a comparison unless one or both */
+/* operands is a NaN (in which case a NaN results) */
+/* COMPSIG -- as COMPARE except that a quiet NaN raises */
+/* Invalid operation. */
+/* COMPMAX -- returns the larger of the operands, using the */
+/* 754 maxnum operation */
+/* COMPMAXMAG -- ditto, comparing absolute values */
+/* COMPMIN -- the 754 minnum operation */
+/* COMPMINMAG -- ditto, comparing absolute values */
+/* COMTOTAL -- returns the signum (as a number) giving the */
+/* result of a comparison using 754 total ordering */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* op is the operation flag */
+/* status is the usual accumulator */
+/* */
+/* C must have space for one digit for COMPARE or set->digits for */
+/* COMPMAX, COMPMIN, COMPMAXMAG, or COMPMINMAG. */
+/* ------------------------------------------------------------------ */
+/* The emphasis here is on speed for common cases, and avoiding */
+/* coefficient comparison if possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decCompareOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ Flag op, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ Int result=0; // default result value
+ uByte merged; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>set->digits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) {result=BADINT; break;}
+ lhs=alloclhs;
+ }
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) {result=BADINT; break;}
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // If total ordering then handle differing signs 'up front'
+ if (op==COMPTOTAL) { // total ordering
+ if (decNumberIsNegative(lhs) & !decNumberIsNegative(rhs)) {
+ result=-1;
+ break;
+ }
+ if (!decNumberIsNegative(lhs) & decNumberIsNegative(rhs)) {
+ result=+1;
+ break;
+ }
+ }
+
+ // handle NaNs specially; let infinities drop through
+ // This assumes sNaN (even just one) leads to NaN.
+ merged=(lhs->bits | rhs->bits) & (DECSNAN | DECNAN);
+ if (merged) { // a NaN bit set
+ if (op==COMPARE); // result will be NaN
+ else if (op==COMPSIG) // treat qNaN as sNaN
+ *status|=DEC_Invalid_operation | DEC_sNaN;
+ else if (op==COMPTOTAL) { // total ordering, always finite
+ // signs are known to be the same; compute the ordering here
+ // as if the signs are both positive, then invert for negatives
+ if (!decNumberIsNaN(lhs)) result=-1;
+ else if (!decNumberIsNaN(rhs)) result=+1;
+ // here if both NaNs
+ else if (decNumberIsSNaN(lhs) && decNumberIsQNaN(rhs)) result=-1;
+ else if (decNumberIsQNaN(lhs) && decNumberIsSNaN(rhs)) result=+1;
+ else { // both NaN or both sNaN
+ // now it just depends on the payload
+ result=decUnitCompare(lhs->lsu, D2U(lhs->digits),
+ rhs->lsu, D2U(rhs->digits), 0);
+ // [Error not possible, as these are 'aligned']
+ } // both same NaNs
+ if (decNumberIsNegative(lhs)) result=-result;
+ break;
+ } // total order
+
+ else if (merged & DECSNAN); // sNaN -> qNaN
+ else { // here if MIN or MAX and one or two quiet NaNs
+ // min or max -- 754 rules ignore single NaN
+ if (!decNumberIsNaN(lhs) || !decNumberIsNaN(rhs)) {
+ // just one NaN; force choice to be the non-NaN operand
+ op=COMPMAX;
+ if (lhs->bits & DECNAN) result=-1; // pick rhs
+ else result=+1; // pick lhs
+ break;
+ }
+ } // max or min
+ op=COMPNAN; // use special path
+ decNaNs(res, lhs, rhs, set, status); // propagate NaN
+ break;
+ }
+ // have numbers
+ if (op==COMPMAXMAG || op==COMPMINMAG) result=decCompare(lhs, rhs, 1);
+ else result=decCompare(lhs, rhs, 0); // sign matters
+ } while(0); // end protected
+
+ if (result==BADINT) *status|=DEC_Insufficient_storage; // rare
+ else {
+ if (op==COMPARE || op==COMPSIG ||op==COMPTOTAL) { // returning signum
+ if (op==COMPTOTAL && result==0) {
+ // operands are numerically equal or same NaN (and same sign,
+ // tested first); if identical, leave result 0
+ if (lhs->exponent!=rhs->exponent) {
+ if (lhs->exponent<rhs->exponent) result=-1;
+ else result=+1;
+ if (decNumberIsNegative(lhs)) result=-result;
+ } // lexp!=rexp
+ } // total-order by exponent
+ decNumberZero(res); // [always a valid result]
+ if (result!=0) { // must be -1 or +1
+ *res->lsu=1;
+ if (result<0) res->bits=DECNEG;
+ }
+ }
+ else if (op==COMPNAN); // special, drop through
+ else { // MAX or MIN, non-NaN result
+ Int residue=0; // rounding accumulator
+ // choose the operand for the result
+ const decNumber *choice;
+ if (result==0) { // operands are numerically equal
+ // choose according to sign then exponent (see 754)
+ uByte slhs=(lhs->bits & DECNEG);
+ uByte srhs=(rhs->bits & DECNEG);
+ #if DECSUBSET
+ if (!set->extended) { // subset: force left-hand
+ op=COMPMAX;
+ result=+1;
+ }
+ else
+ #endif
+ if (slhs!=srhs) { // signs differ
+ if (slhs) result=-1; // rhs is max
+ else result=+1; // lhs is max
+ }
+ else if (slhs && srhs) { // both negative
+ if (lhs->exponent<rhs->exponent) result=+1;
+ else result=-1;
+ // [if equal, use lhs, technically identical]
+ }
+ else { // both positive
+ if (lhs->exponent>rhs->exponent) result=+1;
+ else result=-1;
+ // [ditto]
+ }
+ } // numerically equal
+ // here result will be non-0; reverse if looking for MIN
+ if (op==COMPMIN || op==COMPMINMAG) result=-result;
+ choice=(result>0 ? lhs : rhs); // choose
+ // copy chosen to result, rounding if need be
+ decCopyFit(res, choice, set, &residue, status);
+ decFinish(res, set, &residue, status);
+ }
+ }
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // free any storage used
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decCompareOp
+
+/* ------------------------------------------------------------------ */
+/* decCompare -- compare two decNumbers by numerical value */
+/* */
+/* This routine compares A ? B without altering them. */
+/* */
+/* Arg1 is A, a decNumber which is not a NaN */
+/* Arg2 is B, a decNumber which is not a NaN */
+/* Arg3 is 1 for a sign-independent compare, 0 otherwise */
+/* */
+/* returns -1, 0, or 1 for A<B, A==B, or A>B, or BADINT if failure */
+/* (the only possible failure is an allocation error) */
+/* ------------------------------------------------------------------ */
+static Int decCompare(const decNumber *lhs, const decNumber *rhs,
+ Flag abs) {
+ Int result; // result value
+ Int sigr; // rhs signum
+ Int compare; // work
+
+ result=1; // assume signum(lhs)
+ if (ISZERO(lhs)) result=0;
+ if (abs) {
+ if (ISZERO(rhs)) return result; // LHS wins or both 0
+ // RHS is non-zero
+ if (result==0) return -1; // LHS is 0; RHS wins
+ // [here, both non-zero, result=1]
+ }
+ else { // signs matter
+ if (result && decNumberIsNegative(lhs)) result=-1;
+ sigr=1; // compute signum(rhs)
+ if (ISZERO(rhs)) sigr=0;
+ else if (decNumberIsNegative(rhs)) sigr=-1;
+ if (result > sigr) return +1; // L > R, return 1
+ if (result < sigr) return -1; // L < R, return -1
+ if (result==0) return 0; // both 0
+ }
+
+ // signums are the same; both are non-zero
+ if ((lhs->bits | rhs->bits) & DECINF) { // one or more infinities
+ if (decNumberIsInfinite(rhs)) {
+ if (decNumberIsInfinite(lhs)) result=0;// both infinite
+ else result=-result; // only rhs infinite
+ }
+ return result;
+ }
+ // must compare the coefficients, allowing for exponents
+ if (lhs->exponent>rhs->exponent) { // LHS exponent larger
+ // swap sides, and sign
+ const decNumber *temp=lhs;
+ lhs=rhs;
+ rhs=temp;
+ result=-result;
+ }
+ compare=decUnitCompare(lhs->lsu, D2U(lhs->digits),
+ rhs->lsu, D2U(rhs->digits),
+ rhs->exponent-lhs->exponent);
+ if (compare!=BADINT) compare*=result; // comparison succeeded
+ return compare;
+ } // decCompare
+
+/* ------------------------------------------------------------------ */
+/* decUnitCompare -- compare two >=0 integers in Unit arrays */
+/* */
+/* This routine compares A ? B*10**E where A and B are unit arrays */
+/* A is a plain integer */
+/* B has an exponent of E (which must be non-negative) */
+/* */
+/* Arg1 is A first Unit (lsu) */
+/* Arg2 is A length in Units */
+/* Arg3 is B first Unit (lsu) */
+/* Arg4 is B length in Units */
+/* Arg5 is E (0 if the units are aligned) */
+/* */
+/* returns -1, 0, or 1 for A<B, A==B, or A>B, or BADINT if failure */
+/* (the only possible failure is an allocation error, which can */
+/* only occur if E!=0) */
+/* ------------------------------------------------------------------ */
+static Int decUnitCompare(const Unit *a, Int alength,
+ const Unit *b, Int blength, Int exp) {
+ Unit *acc; // accumulator for result
+ Unit accbuff[SD2U(DECBUFFER*2+1)]; // local buffer
+ Unit *allocacc=NULL; // -> allocated acc buffer, iff allocated
+ Int accunits, need; // units in use or needed for acc
+ const Unit *l, *r, *u; // work
+ Int expunits, exprem, result; // ..
+
+ if (exp==0) { // aligned; fastpath
+ if (alength>blength) return 1;
+ if (alength<blength) return -1;
+ // same number of units in both -- need unit-by-unit compare
+ l=a+alength-1;
+ r=b+alength-1;
+ for (;l>=a; l--, r--) {
+ if (*l>*r) return 1;
+ if (*l<*r) return -1;
+ }
+ return 0; // all units match
+ } // aligned
+
+ // Unaligned. If one is >1 unit longer than the other, padded
+ // approximately, then can return easily
+ if (alength>blength+(Int)D2U(exp)) return 1;
+ if (alength+1<blength+(Int)D2U(exp)) return -1;
+
+ // Need to do a real subtract. For this, a result buffer is needed
+ // even though only the sign is of interest. Its length needs
+ // to be the larger of alength and padded blength, +2
+ need=blength+D2U(exp); // maximum real length of B
+ if (need<alength) need=alength;
+ need+=2;
+ acc=accbuff; // assume use local buffer
+ if (need*sizeof(Unit)>sizeof(accbuff)) {
+ allocacc=(Unit *)malloc(need*sizeof(Unit));
+ if (allocacc==NULL) return BADINT; // hopeless -- abandon
+ acc=allocacc;
+ }
+ // Calculate units and remainder from exponent.
+ expunits=exp/DECDPUN;
+ exprem=exp%DECDPUN;
+ // subtract [A+B*(-m)]
+ accunits=decUnitAddSub(a, alength, b, blength, expunits, acc,
+ -(Int)powers[exprem]);
+ // [UnitAddSub result may have leading zeros, even on zero]
+ if (accunits<0) result=-1; // negative result
+ else { // non-negative result
+ // check units of the result before freeing any storage
+ for (u=acc; u<acc+accunits-1 && *u==0;) u++;
+ result=(*u==0 ? 0 : +1);
+ }
+ // clean up and return the result
+ if (allocacc!=NULL) free(allocacc); // drop any storage used
+ return result;
+ } // decUnitCompare
+
+/* ------------------------------------------------------------------ */
+/* decUnitAddSub -- add or subtract two >=0 integers in Unit arrays */
+/* */
+/* This routine performs the calculation: */
+/* */
+/* C=A+(B*M) */
+/* */
+/* Where M is in the range -DECDPUNMAX through +DECDPUNMAX. */
+/* */
+/* A may be shorter or longer than B. */
+/* */
+/* Leading zeros are not removed after a calculation. The result is */
+/* either the same length as the longer of A and B (adding any */
+/* shift), or one Unit longer than that (if a Unit carry occurred). */
+/* */
+/* A and B content are not altered unless C is also A or B. */
+/* C may be the same array as A or B, but only if no zero padding is */
+/* requested (that is, C may be B only if bshift==0). */
+/* C is filled from the lsu; only those units necessary to complete */
+/* the calculation are referenced. */
+/* */
+/* Arg1 is A first Unit (lsu) */
+/* Arg2 is A length in Units */
+/* Arg3 is B first Unit (lsu) */
+/* Arg4 is B length in Units */
+/* Arg5 is B shift in Units (>=0; pads with 0 units if positive) */
+/* Arg6 is C first Unit (lsu) */
+/* Arg7 is M, the multiplier */
+/* */
+/* returns the count of Units written to C, which will be non-zero */
+/* and negated if the result is negative. That is, the sign of the */
+/* returned Int is the sign of the result (positive for zero) and */
+/* the absolute value of the Int is the count of Units. */
+/* */
+/* It is the caller's responsibility to make sure that C size is */
+/* safe, allowing space if necessary for a one-Unit carry. */
+/* */
+/* This routine is severely performance-critical; *any* change here */
+/* must be measured (timed) to assure no performance degradation. */
+/* In particular, trickery here tends to be counter-productive, as */
+/* increased complexity of code hurts register optimizations on */
+/* register-poor architectures. Avoiding divisions is nearly */
+/* always a Good Idea, however. */
+/* */
+/* Special thanks to Rick McGuire (IBM Cambridge, MA) and Dave Clark */
+/* (IBM Warwick, UK) for some of the ideas used in this routine. */
+/* ------------------------------------------------------------------ */
+static Int decUnitAddSub(const Unit *a, Int alength,
+ const Unit *b, Int blength, Int bshift,
+ Unit *c, Int m) {
+ const Unit *alsu=a; // A lsu [need to remember it]
+ Unit *clsu=c; // C ditto
+ Unit *minC; // low water mark for C
+ Unit *maxC; // high water mark for C
+ eInt carry=0; // carry integer (could be Long)
+ Int add; // work
+ #if DECDPUN<=4 // myriadal, millenary, etc.
+ Int est; // estimated quotient
+ #endif
+
+ #if DECTRACE
+ if (alength<1 || blength<1)
+ printf("decUnitAddSub: alen blen m %ld %ld [%ld]\n", alength, blength, m);
+ #endif
+
+ maxC=c+alength; // A is usually the longer
+ minC=c+blength; // .. and B the shorter
+ if (bshift!=0) { // B is shifted; low As copy across
+ minC+=bshift;
+ // if in place [common], skip copy unless there's a gap [rare]
+ if (a==c && bshift<=alength) {
+ c+=bshift;
+ a+=bshift;
+ }
+ else for (; c<clsu+bshift; a++, c++) { // copy needed
+ if (a<alsu+alength) *c=*a;
+ else *c=0;
+ }
+ }
+ if (minC>maxC) { // swap
+ Unit *hold=minC;
+ minC=maxC;
+ maxC=hold;
+ }
+
+ // For speed, do the addition as two loops; the first where both A
+ // and B contribute, and the second (if necessary) where only one or
+ // other of the numbers contribute.
+ // Carry handling is the same (i.e., duplicated) in each case.
+ for (; c<minC; c++) {
+ carry+=*a;
+ a++;
+ carry+=((eInt)*b)*m; // [special-casing m=1/-1
+ b++; // here is not a win]
+ // here carry is new Unit of digits; it could be +ve or -ve
+ if ((ueInt)carry<=DECDPUNMAX) { // fastpath 0-DECDPUNMAX
+ *c=(Unit)carry;
+ carry=0;
+ continue;
+ }
+ #if DECDPUN==4 // use divide-by-multiply
+ if (carry>=0) {
+ est=(((ueInt)carry>>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [89%]
+ if (*c<DECDPUNMAX+1) continue; // estimate was correct
+ carry++;
+ *c-=DECDPUNMAX+1;
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=(((ueInt)carry>>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c<DECDPUNMAX+1) continue; // was OK
+ carry++;
+ *c-=DECDPUNMAX+1;
+ #elif DECDPUN==3
+ if (carry>=0) {
+ est=(((ueInt)carry>>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [99%]
+ if (*c<DECDPUNMAX+1) continue; // estimate was correct
+ carry++;
+ *c-=DECDPUNMAX+1;
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=(((ueInt)carry>>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c<DECDPUNMAX+1) continue; // was OK
+ carry++;
+ *c-=DECDPUNMAX+1;
+ #elif DECDPUN<=2
+ // Can use QUOT10 as carry <= 4 digits
+ if (carry>=0) {
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // quotient
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ #else
+ // remainder operator is undefined if negative, so must test
+ if ((ueInt)carry<(DECDPUNMAX+1)*2) { // fastpath carry +1
+ *c=(Unit)(carry-(DECDPUNMAX+1)); // [helps additions]
+ carry=1;
+ continue;
+ }
+ if (carry>=0) {
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1);
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1)-(DECDPUNMAX+1);
+ #endif
+ } // c
+
+ // now may have one or other to complete
+ // [pretest to avoid loop setup/shutdown]
+ if (c<maxC) for (; c<maxC; c++) {
+ if (a<alsu+alength) { // still in A
+ carry+=*a;
+ a++;
+ }
+ else { // inside B
+ carry+=((eInt)*b)*m;
+ b++;
+ }
+ // here carry is new Unit of digits; it could be +ve or -ve and
+ // magnitude up to DECDPUNMAX squared
+ if ((ueInt)carry<=DECDPUNMAX) { // fastpath 0-DECDPUNMAX
+ *c=(Unit)carry;
+ carry=0;
+ continue;
+ }
+ // result for this unit is negative or >DECDPUNMAX
+ #if DECDPUN==4 // use divide-by-multiply
+ if (carry>=0) {
+ est=(((ueInt)carry>>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [79.7%]
+ if (*c<DECDPUNMAX+1) continue; // estimate was correct
+ carry++;
+ *c-=DECDPUNMAX+1;
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=(((ueInt)carry>>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c<DECDPUNMAX+1) continue; // was OK
+ carry++;
+ *c-=DECDPUNMAX+1;
+ #elif DECDPUN==3
+ if (carry>=0) {
+ est=(((ueInt)carry>>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [99%]
+ if (*c<DECDPUNMAX+1) continue; // estimate was correct
+ carry++;
+ *c-=DECDPUNMAX+1;
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=(((ueInt)carry>>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c<DECDPUNMAX+1) continue; // was OK
+ carry++;
+ *c-=DECDPUNMAX+1;
+ #elif DECDPUN<=2
+ if (carry>=0) {
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // quotient
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ #else
+ if ((ueInt)carry<(DECDPUNMAX+1)*2){ // fastpath carry 1
+ *c=(Unit)(carry-(DECDPUNMAX+1));
+ carry=1;
+ continue;
+ }
+ // remainder operator is undefined if negative, so must test
+ if (carry>=0) {
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1);
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1)-(DECDPUNMAX+1);
+ #endif
+ } // c
+
+ // OK, all A and B processed; might still have carry or borrow
+ // return number of Units in the result, negated if a borrow
+ if (carry==0) return c-clsu; // no carry, so no more to do
+ if (carry>0) { // positive carry
+ *c=(Unit)carry; // place as new unit
+ c++; // ..
+ return c-clsu;
+ }
+ // -ve carry: it's a borrow; complement needed
+ add=1; // temporary carry...
+ for (c=clsu; c<maxC; c++) {
+ add=DECDPUNMAX+add-*c;
+ if (add<=DECDPUNMAX) {
+ *c=(Unit)add;
+ add=0;
+ }
+ else {
+ *c=0;
+ add=1;
+ }
+ }
+ // add an extra unit iff it would be non-zero
+ #if DECTRACE
+ printf("UAS borrow: add %ld, carry %ld\n", add, carry);
+ #endif
+ if ((add-carry-1)!=0) {
+ *c=(Unit)(add-carry-1);
+ c++; // interesting, include it
+ }
+ return clsu-c; // -ve result indicates borrowed
+ } // decUnitAddSub
+
+/* ------------------------------------------------------------------ */
+/* decTrim -- trim trailing zeros or normalize */
+/* */
+/* dn is the number to trim or normalize */
+/* set is the context to use to check for clamp */
+/* all is 1 to remove all trailing zeros, 0 for just fraction ones */
+/* noclamp is 1 to unconditional (unclamped) trim */
+/* dropped returns the number of discarded trailing zeros */
+/* returns dn */
+/* */
+/* If clamp is set in the context then the number of zeros trimmed */
+/* may be limited if the exponent is high. */
+/* All fields are updated as required. This is a utility operation, */
+/* so special values are unchanged and no error is possible. */
+/* ------------------------------------------------------------------ */
+static decNumber * decTrim(decNumber *dn, decContext *set, Flag all,
+ Flag noclamp, Int *dropped) {
+ Int d, exp; // work
+ uInt cut; // ..
+ Unit *up; // -> current Unit
+
+ #if DECCHECK
+ if (decCheckOperands(dn, DECUNUSED, DECUNUSED, DECUNCONT)) return dn;
+ #endif
+
+ *dropped=0; // assume no zeros dropped
+ if ((dn->bits & DECSPECIAL) // fast exit if special ..
+ || (*dn->lsu & 0x01)) return dn; // .. or odd
+ if (ISZERO(dn)) { // .. or 0
+ dn->exponent=0; // (sign is preserved)
+ return dn;
+ }
+
+ // have a finite number which is even
+ exp=dn->exponent;
+ cut=1; // digit (1-DECDPUN) in Unit
+ up=dn->lsu; // -> current Unit
+ for (d=0; d<dn->digits-1; d++) { // [don't strip the final digit]
+ // slice by powers
+ #if DECDPUN<=4
+ uInt quot=QUOT10(*up, cut);
+ if ((*up-quot*powers[cut])!=0) break; // found non-0 digit
+ #else
+ if (*up%powers[cut]!=0) break; // found non-0 digit
+ #endif
+ // have a trailing 0
+ if (!all) { // trimming
+ // [if exp>0 then all trailing 0s are significant for trim]
+ if (exp<=0) { // if digit might be significant
+ if (exp==0) break; // then quit
+ exp++; // next digit might be significant
+ }
+ }
+ cut++; // next power
+ if (cut>DECDPUN) { // need new Unit
+ up++;
+ cut=1;
+ }
+ } // d
+ if (d==0) return dn; // none to drop
+
+ // may need to limit drop if clamping
+ if (set->clamp && !noclamp) {
+ Int maxd=set->emax-set->digits+1-dn->exponent;
+ if (maxd<=0) return dn; // nothing possible
+ if (d>maxd) d=maxd;
+ }
+
+ // effect the drop
+ decShiftToLeast(dn->lsu, D2U(dn->digits), d);
+ dn->exponent+=d; // maintain numerical value
+ dn->digits-=d; // new length
+ *dropped=d; // report the count
+ return dn;
+ } // decTrim
+
+/* ------------------------------------------------------------------ */
+/* decReverse -- reverse a Unit array in place */
+/* */
+/* ulo is the start of the array */
+/* uhi is the end of the array (highest Unit to include) */
+/* */
+/* The units ulo through uhi are reversed in place (if the number */
+/* of units is odd, the middle one is untouched). Note that the */
+/* digit(s) in each unit are unaffected. */
+/* ------------------------------------------------------------------ */
+static void decReverse(Unit *ulo, Unit *uhi) {
+ Unit temp;
+ for (; ulo<uhi; ulo++, uhi--) {
+ temp=*ulo;
+ *ulo=*uhi;
+ *uhi=temp;
+ }
+ return;
+ } // decReverse
+
+/* ------------------------------------------------------------------ */
+/* decShiftToMost -- shift digits in array towards most significant */
+/* */
+/* uar is the array */
+/* digits is the count of digits in use in the array */
+/* shift is the number of zeros to pad with (least significant); */
+/* it must be zero or positive */
+/* */
+/* returns the new length of the integer in the array, in digits */
+/* */
+/* No overflow is permitted (that is, the uar array must be known to */
+/* be large enough to hold the result, after shifting). */
+/* ------------------------------------------------------------------ */
+static Int decShiftToMost(Unit *uar, Int digits, Int shift) {
+ Unit *target, *source, *first; // work
+ Int cut; // odd 0's to add
+ uInt next; // work
+
+ if (shift==0) return digits; // [fastpath] nothing to do
+ if ((digits+shift)<=DECDPUN) { // [fastpath] single-unit case
+ *uar=(Unit)(*uar*powers[shift]);
+ return digits+shift;
+ }
+
+ next=0; // all paths
+ source=uar+D2U(digits)-1; // where msu comes from
+ target=source+D2U(shift); // where upper part of first cut goes
+ cut=DECDPUN-MSUDIGITS(shift); // where to slice
+ if (cut==0) { // unit-boundary case
+ for (; source>=uar; source--, target--) *target=*source;
+ }
+ else {
+ first=uar+D2U(digits+shift)-1; // where msu of source will end up
+ for (; source>=uar; source--, target--) {
+ // split the source Unit and accumulate remainder for next
+ #if DECDPUN<=4
+ uInt quot=QUOT10(*source, cut);
+ uInt rem=*source-quot*powers[cut];
+ next+=quot;
+ #else
+ uInt rem=*source%powers[cut];
+ next+=*source/powers[cut];
+ #endif
+ if (target<=first) *target=(Unit)next; // write to target iff valid
+ next=rem*powers[DECDPUN-cut]; // save remainder for next Unit
+ }
+ } // shift-move
+
+ // propagate any partial unit to one below and clear the rest
+ for (; target>=uar; target--) {
+ *target=(Unit)next;
+ next=0;
+ }
+ return digits+shift;
+ } // decShiftToMost
+
+/* ------------------------------------------------------------------ */
+/* decShiftToLeast -- shift digits in array towards least significant */
+/* */
+/* uar is the array */
+/* units is length of the array, in units */
+/* shift is the number of digits to remove from the lsu end; it */
+/* must be zero or positive and <= than units*DECDPUN. */
+/* */
+/* returns the new length of the integer in the array, in units */
+/* */
+/* Removed digits are discarded (lost). Units not required to hold */
+/* the final result are unchanged. */
+/* ------------------------------------------------------------------ */
+static Int decShiftToLeast(Unit *uar, Int units, Int shift) {
+ Unit *target, *up; // work
+ Int cut, count; // work
+ Int quot, rem; // for division
+
+ if (shift==0) return units; // [fastpath] nothing to do
+ if (shift==units*DECDPUN) { // [fastpath] little to do
+ *uar=0; // all digits cleared gives zero
+ return 1; // leaves just the one
+ }
+
+ target=uar; // both paths
+ cut=MSUDIGITS(shift);
+ if (cut==DECDPUN) { // unit-boundary case; easy
+ up=uar+D2U(shift);
+ for (; up<uar+units; target++, up++) *target=*up;
+ return target-uar;
+ }
+
+ // messier
+ up=uar+D2U(shift-cut); // source; correct to whole Units
+ count=units*DECDPUN-shift; // the maximum new length
+ #if DECDPUN<=4
+ quot=QUOT10(*up, cut);
+ #else
+ quot=*up/powers[cut];
+ #endif
+ for (; ; target++) {
+ *target=(Unit)quot;
+ count-=(DECDPUN-cut);
+ if (count<=0) break;
+ up++;
+ quot=*up;
+ #if DECDPUN<=4
+ quot=QUOT10(quot, cut);
+ rem=*up-quot*powers[cut];
+ #else
+ rem=quot%powers[cut];
+ quot=quot/powers[cut];
+ #endif
+ *target=(Unit)(*target+rem*powers[DECDPUN-cut]);
+ count-=cut;
+ if (count<=0) break;
+ }
+ return target-uar+1;
+ } // decShiftToLeast
+
+#if DECSUBSET
+/* ------------------------------------------------------------------ */
+/* decRoundOperand -- round an operand [used for subset only] */
+/* */
+/* dn is the number to round (dn->digits is > set->digits) */
+/* set is the relevant context */
+/* status is the status accumulator */
+/* */
+/* returns an allocated decNumber with the rounded result. */
+/* */
+/* lostDigits and other status may be set by this. */
+/* */
+/* Since the input is an operand, it must not be modified. */
+/* Instead, return an allocated decNumber, rounded as required. */
+/* It is the caller's responsibility to free the allocated storage. */
+/* */
+/* If no storage is available then the result cannot be used, so NULL */
+/* is returned. */
+/* ------------------------------------------------------------------ */
+static decNumber *decRoundOperand(const decNumber *dn, decContext *set,
+ uInt *status) {
+ decNumber *res; // result structure
+ uInt newstatus=0; // status from round
+ Int residue=0; // rounding accumulator
+
+ // Allocate storage for the returned decNumber, big enough for the
+ // length specified by the context
+ res=(decNumber *)malloc(sizeof(decNumber)
+ +(D2U(set->digits)-1)*sizeof(Unit));
+ if (res==NULL) {
+ *status|=DEC_Insufficient_storage;
+ return NULL;
+ }
+ decCopyFit(res, dn, set, &residue, &newstatus);
+ decApplyRound(res, set, residue, &newstatus);
+
+ // If that set Inexact then "lost digits" is raised...
+ if (newstatus & DEC_Inexact) newstatus|=DEC_Lost_digits;
+ *status|=newstatus;
+ return res;
+ } // decRoundOperand
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decCopyFit -- copy a number, truncating the coefficient if needed */
+/* */
+/* dest is the target decNumber */
+/* src is the source decNumber */
+/* set is the context [used for length (digits) and rounding mode] */
+/* residue is the residue accumulator */
+/* status contains the current status to be updated */
+/* */
+/* (dest==src is allowed and will be a no-op if fits) */
+/* All fields are updated as required. */
+/* ------------------------------------------------------------------ */
+static void decCopyFit(decNumber *dest, const decNumber *src,
+ decContext *set, Int *residue, uInt *status) {
+ dest->bits=src->bits;
+ dest->exponent=src->exponent;
+ decSetCoeff(dest, set, src->lsu, src->digits, residue, status);
+ } // decCopyFit
+
+/* ------------------------------------------------------------------ */
+/* decSetCoeff -- set the coefficient of a number */
+/* */
+/* dn is the number whose coefficient array is to be set. */
+/* It must have space for set->digits digits */
+/* set is the context [for size] */
+/* lsu -> lsu of the source coefficient [may be dn->lsu] */
+/* len is digits in the source coefficient [may be dn->digits] */
+/* residue is the residue accumulator. This has values as in */
+/* decApplyRound, and will be unchanged unless the */
+/* target size is less than len. In this case, the */
+/* coefficient is truncated and the residue is updated to */
+/* reflect the previous residue and the dropped digits. */
+/* status is the status accumulator, as usual */
+/* */
+/* The coefficient may already be in the number, or it can be an */
+/* external intermediate array. If it is in the number, lsu must == */
+/* dn->lsu and len must == dn->digits. */
+/* */
+/* Note that the coefficient length (len) may be < set->digits, and */
+/* in this case this merely copies the coefficient (or is a no-op */
+/* if dn->lsu==lsu). */
+/* */
+/* Note also that (only internally, from decQuantizeOp and */
+/* decSetSubnormal) the value of set->digits may be less than one, */
+/* indicating a round to left. This routine handles that case */
+/* correctly; caller ensures space. */
+/* */
+/* dn->digits, dn->lsu (and as required), and dn->exponent are */
+/* updated as necessary. dn->bits (sign) is unchanged. */
+/* */
+/* DEC_Rounded status is set if any digits are discarded. */
+/* DEC_Inexact status is set if any non-zero digits are discarded, or */
+/* incoming residue was non-0 (implies rounded) */
+/* ------------------------------------------------------------------ */
+// mapping array: maps 0-9 to canonical residues, so that a residue
+// can be adjusted in the range [-1, +1] and achieve correct rounding
+// 0 1 2 3 4 5 6 7 8 9
+static const uByte resmap[10]={0, 3, 3, 3, 3, 5, 7, 7, 7, 7};
+static void decSetCoeff(decNumber *dn, decContext *set, const Unit *lsu,
+ Int len, Int *residue, uInt *status) {
+ Int discard; // number of digits to discard
+ uInt cut; // cut point in Unit
+ const Unit *up; // work
+ Unit *target; // ..
+ Int count; // ..
+ #if DECDPUN<=4
+ uInt temp; // ..
+ #endif
+
+ discard=len-set->digits; // digits to discard
+ if (discard<=0) { // no digits are being discarded
+ if (dn->lsu!=lsu) { // copy needed
+ // copy the coefficient array to the result number; no shift needed
+ count=len; // avoids D2U
+ up=lsu;
+ for (target=dn->lsu; count>0; target++, up++, count-=DECDPUN)
+ *target=*up;
+ dn->digits=len; // set the new length
+ }
+ // dn->exponent and residue are unchanged, record any inexactitude
+ if (*residue!=0) *status|=(DEC_Inexact | DEC_Rounded);
+ return;
+ }
+
+ // some digits must be discarded ...
+ dn->exponent+=discard; // maintain numerical value
+ *status|=DEC_Rounded; // accumulate Rounded status
+ if (*residue>1) *residue=1; // previous residue now to right, so reduce
+
+ if (discard>len) { // everything, +1, is being discarded
+ // guard digit is 0
+ // residue is all the number [NB could be all 0s]
+ if (*residue<=0) { // not already positive
+ count=len; // avoids D2U
+ for (up=lsu; count>0; up++, count-=DECDPUN) if (*up!=0) { // found non-0
+ *residue=1;
+ break; // no need to check any others
+ }
+ }
+ if (*residue!=0) *status|=DEC_Inexact; // record inexactitude
+ *dn->lsu=0; // coefficient will now be 0
+ dn->digits=1; // ..
+ return;
+ } // total discard
+
+ // partial discard [most common case]
+ // here, at least the first (most significant) discarded digit exists
+
+ // spin up the number, noting residue during the spin, until get to
+ // the Unit with the first discarded digit. When reach it, extract
+ // it and remember its position
+ count=0;
+ for (up=lsu;; up++) {
+ count+=DECDPUN;
+ if (count>=discard) break; // full ones all checked
+ if (*up!=0) *residue=1;
+ } // up
+
+ // here up -> Unit with first discarded digit
+ cut=discard-(count-DECDPUN)-1;
+ if (cut==DECDPUN-1) { // unit-boundary case (fast)
+ Unit half=(Unit)powers[DECDPUN]>>1;
+ // set residue directly
+ if (*up>=half) {
+ if (*up>half) *residue=7;
+ else *residue+=5; // add sticky bit
+ }
+ else { // <half
+ if (*up!=0) *residue=3; // [else is 0, leave as sticky bit]
+ }
+ if (set->digits<=0) { // special for Quantize/Subnormal :-(
+ *dn->lsu=0; // .. result is 0
+ dn->digits=1; // ..
+ }
+ else { // shift to least
+ count=set->digits; // now digits to end up with
+ dn->digits=count; // set the new length
+ up++; // move to next
+ // on unit boundary, so shift-down copy loop is simple
+ for (target=dn->lsu; count>0; target++, up++, count-=DECDPUN)
+ *target=*up;
+ }
+ } // unit-boundary case
+
+ else { // discard digit is in low digit(s), and not top digit
+ uInt discard1; // first discarded digit
+ uInt quot, rem; // for divisions
+ if (cut==0) quot=*up; // is at bottom of unit
+ else /* cut>0 */ { // it's not at bottom of unit
+ #if DECDPUN<=4
+ quot=QUOT10(*up, cut);
+ rem=*up-quot*powers[cut];
+ #else
+ rem=*up%powers[cut];
+ quot=*up/powers[cut];
+ #endif
+ if (rem!=0) *residue=1;
+ }
+ // discard digit is now at bottom of quot
+ #if DECDPUN<=4
+ temp=(quot*6554)>>16; // fast /10
+ // Vowels algorithm here not a win (9 instructions)
+ discard1=quot-X10(temp);
+ quot=temp;
+ #else
+ discard1=quot%10;
+ quot=quot/10;
+ #endif
+ // here, discard1 is the guard digit, and residue is everything
+ // else [use mapping array to accumulate residue safely]
+ *residue+=resmap[discard1];
+ cut++; // update cut
+ // here: up -> Unit of the array with bottom digit
+ // cut is the division point for each Unit
+ // quot holds the uncut high-order digits for the current unit
+ if (set->digits<=0) { // special for Quantize/Subnormal :-(
+ *dn->lsu=0; // .. result is 0
+ dn->digits=1; // ..
+ }
+ else { // shift to least needed
+ count=set->digits; // now digits to end up with
+ dn->digits=count; // set the new length
+ // shift-copy the coefficient array to the result number
+ for (target=dn->lsu; ; target++) {
+ *target=(Unit)quot;
+ count-=(DECDPUN-cut);
+ if (count<=0) break;
+ up++;
+ quot=*up;
+ #if DECDPUN<=4
+ quot=QUOT10(quot, cut);
+ rem=*up-quot*powers[cut];
+ #else
+ rem=quot%powers[cut];
+ quot=quot/powers[cut];
+ #endif
+ *target=(Unit)(*target+rem*powers[DECDPUN-cut]);
+ count-=cut;
+ if (count<=0) break;
+ } // shift-copy loop
+ } // shift to least
+ } // not unit boundary
+
+ if (*residue!=0) *status|=DEC_Inexact; // record inexactitude
+ return;
+ } // decSetCoeff
+
+/* ------------------------------------------------------------------ */
+/* decApplyRound -- apply pending rounding to a number */
+/* */
+/* dn is the number, with space for set->digits digits */
+/* set is the context [for size and rounding mode] */
+/* residue indicates pending rounding, being any accumulated */
+/* guard and sticky information. It may be: */
+/* 6-9: rounding digit is >5 */
+/* 5: rounding digit is exactly half-way */
+/* 1-4: rounding digit is <5 and >0 */
+/* 0: the coefficient is exact */
+/* -1: as 1, but the hidden digits are subtractive, that */
+/* is, of the opposite sign to dn. In this case the */
+/* coefficient must be non-0. This case occurs when */
+/* subtracting a small number (which can be reduced to */
+/* a sticky bit); see decAddOp. */
+/* status is the status accumulator, as usual */
+/* */
+/* This routine applies rounding while keeping the length of the */
+/* coefficient constant. The exponent and status are unchanged */
+/* except if: */
+/* */
+/* -- the coefficient was increased and is all nines (in which */
+/* case Overflow could occur, and is handled directly here so */
+/* the caller does not need to re-test for overflow) */
+/* */
+/* -- the coefficient was decreased and becomes all nines (in which */
+/* case Underflow could occur, and is also handled directly). */
+/* */
+/* All fields in dn are updated as required. */
+/* */
+/* ------------------------------------------------------------------ */
+static void decApplyRound(decNumber *dn, decContext *set, Int residue,
+ uInt *status) {
+ Int bump; // 1 if coefficient needs to be incremented
+ // -1 if coefficient needs to be decremented
+
+ if (residue==0) return; // nothing to apply
+
+ bump=0; // assume a smooth ride
+
+ // now decide whether, and how, to round, depending on mode
+ switch (set->round) {
+ case DEC_ROUND_05UP: { // round zero or five up (for reround)
+ // This is the same as DEC_ROUND_DOWN unless there is a
+ // positive residue and the lsd of dn is 0 or 5, in which case
+ // it is bumped; when residue is <0, the number is therefore
+ // bumped down unless the final digit was 1 or 6 (in which
+ // case it is bumped down and then up -- a no-op)
+ Int lsd5=*dn->lsu%5; // get lsd and quintate
+ if (residue<0 && lsd5!=1) bump=-1;
+ else if (residue>0 && lsd5==0) bump=1;
+ // [bump==1 could be applied directly; use common path for clarity]
+ break;} // r-05
+
+ case DEC_ROUND_DOWN: {
+ // no change, except if negative residue
+ if (residue<0) bump=-1;
+ break;} // r-d
+
+ case DEC_ROUND_HALF_DOWN: {
+ if (residue>5) bump=1;
+ break;} // r-h-d
+
+ case DEC_ROUND_HALF_EVEN: {
+ if (residue>5) bump=1; // >0.5 goes up
+ else if (residue==5) { // exactly 0.5000...
+ // 0.5 goes up iff [new] lsd is odd
+ if (*dn->lsu & 0x01) bump=1;
+ }
+ break;} // r-h-e
+
+ case DEC_ROUND_HALF_UP: {
+ if (residue>=5) bump=1;
+ break;} // r-h-u
+
+ case DEC_ROUND_UP: {
+ if (residue>0) bump=1;
+ break;} // r-u
+
+ case DEC_ROUND_CEILING: {
+ // same as _UP for positive numbers, and as _DOWN for negatives
+ // [negative residue cannot occur on 0]
+ if (decNumberIsNegative(dn)) {
+ if (residue<0) bump=-1;
+ }
+ else {
+ if (residue>0) bump=1;
+ }
+ break;} // r-c
+
+ case DEC_ROUND_FLOOR: {
+ // same as _UP for negative numbers, and as _DOWN for positive
+ // [negative residue cannot occur on 0]
+ if (!decNumberIsNegative(dn)) {
+ if (residue<0) bump=-1;
+ }
+ else {
+ if (residue>0) bump=1;
+ }
+ break;} // r-f
+
+ default: { // e.g., DEC_ROUND_MAX
+ *status|=DEC_Invalid_context;
+ #if DECTRACE || (DECCHECK && DECVERB)
+ printf("Unknown rounding mode: %d\n", set->round);
+ #endif
+ break;}
+ } // switch
+
+ // now bump the number, up or down, if need be
+ if (bump==0) return; // no action required
+
+ // Simply use decUnitAddSub unless bumping up and the number is
+ // all nines. In this special case set to 100... explicitly
+ // and adjust the exponent by one (as otherwise could overflow
+ // the array)
+ // Similarly handle all-nines result if bumping down.
+ if (bump>0) {
+ Unit *up; // work
+ uInt count=dn->digits; // digits to be checked
+ for (up=dn->lsu; ; up++) {
+ if (count<=DECDPUN) {
+ // this is the last Unit (the msu)
+ if (*up!=powers[count]-1) break; // not still 9s
+ // here if it, too, is all nines
+ *up=(Unit)powers[count-1]; // here 999 -> 100 etc.
+ for (up=up-1; up>=dn->lsu; up--) *up=0; // others all to 0
+ dn->exponent++; // and bump exponent
+ // [which, very rarely, could cause Overflow...]
+ if ((dn->exponent+dn->digits)>set->emax+1) {
+ decSetOverflow(dn, set, status);
+ }
+ return; // done
+ }
+ // a full unit to check, with more to come
+ if (*up!=DECDPUNMAX) break; // not still 9s
+ count-=DECDPUN;
+ } // up
+ } // bump>0
+ else { // -1
+ // here checking for a pre-bump of 1000... (leading 1, all
+ // other digits zero)
+ Unit *up, *sup; // work
+ uInt count=dn->digits; // digits to be checked
+ for (up=dn->lsu; ; up++) {
+ if (count<=DECDPUN) {
+ // this is the last Unit (the msu)
+ if (*up!=powers[count-1]) break; // not 100..
+ // here if have the 1000... case
+ sup=up; // save msu pointer
+ *up=(Unit)powers[count]-1; // here 100 in msu -> 999
+ // others all to all-nines, too
+ for (up=up-1; up>=dn->lsu; up--) *up=(Unit)powers[DECDPUN]-1;
+ dn->exponent--; // and bump exponent
+
+ // iff the number was at the subnormal boundary (exponent=etiny)
+ // then the exponent is now out of range, so it will in fact get
+ // clamped to etiny and the final 9 dropped.
+ // printf(">> emin=%d exp=%d sdig=%d\n", set->emin,
+ // dn->exponent, set->digits);
+ if (dn->exponent+1==set->emin-set->digits+1) {
+ if (count==1 && dn->digits==1) *sup=0; // here 9 -> 0[.9]
+ else {
+ *sup=(Unit)powers[count-1]-1; // here 999.. in msu -> 99..
+ dn->digits--;
+ }
+ dn->exponent++;
+ *status|=DEC_Underflow | DEC_Subnormal | DEC_Inexact | DEC_Rounded;
+ }
+ return; // done
+ }
+
+ // a full unit to check, with more to come
+ if (*up!=0) break; // not still 0s
+ count-=DECDPUN;
+ } // up
+
+ } // bump<0
+
+ // Actual bump needed. Do it.
+ decUnitAddSub(dn->lsu, D2U(dn->digits), uarrone, 1, 0, dn->lsu, bump);
+ } // decApplyRound
+
+#if DECSUBSET
+/* ------------------------------------------------------------------ */
+/* decFinish -- finish processing a number */
+/* */
+/* dn is the number */
+/* set is the context */
+/* residue is the rounding accumulator (as in decApplyRound) */
+/* status is the accumulator */
+/* */
+/* This finishes off the current number by: */
+/* 1. If not extended: */
+/* a. Converting a zero result to clean '0' */
+/* b. Reducing positive exponents to 0, if would fit in digits */
+/* 2. Checking for overflow and subnormals (always) */
+/* Note this is just Finalize when no subset arithmetic. */
+/* All fields are updated as required. */
+/* ------------------------------------------------------------------ */
+static void decFinish(decNumber *dn, decContext *set, Int *residue,
+ uInt *status) {
+ if (!set->extended) {
+ if ISZERO(dn) { // value is zero
+ dn->exponent=0; // clean exponent ..
+ dn->bits=0; // .. and sign
+ return; // no error possible
+ }
+ if (dn->exponent>=0) { // non-negative exponent
+ // >0; reduce to integer if possible
+ if (set->digits >= (dn->exponent+dn->digits)) {
+ dn->digits=decShiftToMost(dn->lsu, dn->digits, dn->exponent);
+ dn->exponent=0;
+ }
+ }
+ } // !extended
+
+ decFinalize(dn, set, residue, status);
+ } // decFinish
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFinalize -- final check, clamp, and round of a number */
+/* */
+/* dn is the number */
+/* set is the context */
+/* residue is the rounding accumulator (as in decApplyRound) */
+/* status is the status accumulator */
+/* */
+/* This finishes off the current number by checking for subnormal */
+/* results, applying any pending rounding, checking for overflow, */
+/* and applying any clamping. */
+/* Underflow and overflow conditions are raised as appropriate. */
+/* All fields are updated as required. */
+/* ------------------------------------------------------------------ */
+static void decFinalize(decNumber *dn, decContext *set, Int *residue,
+ uInt *status) {
+ Int shift; // shift needed if clamping
+ Int tinyexp=set->emin-dn->digits+1; // precalculate subnormal boundary
+
+ // Must be careful, here, when checking the exponent as the
+ // adjusted exponent could overflow 31 bits [because it may already
+ // be up to twice the expected].
+
+ // First test for subnormal. This must be done before any final
+ // round as the result could be rounded to Nmin or 0.
+ if (dn->exponent<=tinyexp) { // prefilter
+ Int comp;
+ decNumber nmin;
+ // A very nasty case here is dn == Nmin and residue<0
+ if (dn->exponent<tinyexp) {
+ // Go handle subnormals; this will apply round if needed.
+ decSetSubnormal(dn, set, residue, status);
+ return;
+ }
+ // Equals case: only subnormal if dn=Nmin and negative residue
+ decNumberZero(&nmin);
+ nmin.lsu[0]=1;
+ nmin.exponent=set->emin;
+ comp=decCompare(dn, &nmin, 1); // (signless compare)
+ if (comp==BADINT) { // oops
+ *status|=DEC_Insufficient_storage; // abandon...
+ return;
+ }
+ if (*residue<0 && comp==0) { // neg residue and dn==Nmin
+ decApplyRound(dn, set, *residue, status); // might force down
+ decSetSubnormal(dn, set, residue, status);
+ return;
+ }
+ }
+
+ // now apply any pending round (this could raise overflow).
+ if (*residue!=0) decApplyRound(dn, set, *residue, status);
+
+ // Check for overflow [redundant in the 'rare' case] or clamp
+ if (dn->exponent<=set->emax-set->digits+1) return; // neither needed
+
+
+ // here when might have an overflow or clamp to do
+ if (dn->exponent>set->emax-dn->digits+1) { // too big
+ decSetOverflow(dn, set, status);
+ return;
+ }
+ // here when the result is normal but in clamp range
+ if (!set->clamp) return;
+
+ // here when need to apply the IEEE exponent clamp (fold-down)
+ shift=dn->exponent-(set->emax-set->digits+1);
+
+ // shift coefficient (if non-zero)
+ if (!ISZERO(dn)) {
+ dn->digits=decShiftToMost(dn->lsu, dn->digits, shift);
+ }
+ dn->exponent-=shift; // adjust the exponent to match
+ *status|=DEC_Clamped; // and record the dirty deed
+ return;
+ } // decFinalize
+
+/* ------------------------------------------------------------------ */
+/* decSetOverflow -- set number to proper overflow value */
+/* */
+/* dn is the number (used for sign [only] and result) */
+/* set is the context [used for the rounding mode, etc.] */
+/* status contains the current status to be updated */
+/* */
+/* This sets the sign of a number and sets its value to either */
+/* Infinity or the maximum finite value, depending on the sign of */
+/* dn and the rounding mode, following IEEE 754 rules. */
+/* ------------------------------------------------------------------ */
+static void decSetOverflow(decNumber *dn, decContext *set, uInt *status) {
+ Flag needmax=0; // result is maximum finite value
+ uByte sign=dn->bits&DECNEG; // clean and save sign bit
+
+ if (ISZERO(dn)) { // zero does not overflow magnitude
+ Int emax=set->emax; // limit value
+ if (set->clamp) emax-=set->digits-1; // lower if clamping
+ if (dn->exponent>emax) { // clamp required
+ dn->exponent=emax;
+ *status|=DEC_Clamped;
+ }
+ return;
+ }
+
+ decNumberZero(dn);
+ switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ needmax=1; // never Infinity
+ break;} // r-d
+ case DEC_ROUND_05UP: {
+ needmax=1; // never Infinity
+ break;} // r-05
+ case DEC_ROUND_CEILING: {
+ if (sign) needmax=1; // Infinity if non-negative
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ if (!sign) needmax=1; // Infinity if negative
+ break;} // r-f
+ default: break; // Infinity in all other cases
+ }
+ if (needmax) {
+ decSetMaxValue(dn, set);
+ dn->bits=sign; // set sign
+ }
+ else dn->bits=sign|DECINF; // Value is +/-Infinity
+ *status|=DEC_Overflow | DEC_Inexact | DEC_Rounded;
+ } // decSetOverflow
+
+/* ------------------------------------------------------------------ */
+/* decSetMaxValue -- set number to +Nmax (maximum normal value) */
+/* */
+/* dn is the number to set */
+/* set is the context [used for digits and emax] */
+/* */
+/* This sets the number to the maximum positive value. */
+/* ------------------------------------------------------------------ */
+static void decSetMaxValue(decNumber *dn, decContext *set) {
+ Unit *up; // work
+ Int count=set->digits; // nines to add
+ dn->digits=count;
+ // fill in all nines to set maximum value
+ for (up=dn->lsu; ; up++) {
+ if (count>DECDPUN) *up=DECDPUNMAX; // unit full o'nines
+ else { // this is the msu
+ *up=(Unit)(powers[count]-1);
+ break;
+ }
+ count-=DECDPUN; // filled those digits
+ } // up
+ dn->bits=0; // + sign
+ dn->exponent=set->emax-set->digits+1;
+ } // decSetMaxValue
+
+/* ------------------------------------------------------------------ */
+/* decSetSubnormal -- process value whose exponent is <Emin */
+/* */
+/* dn is the number (used as input as well as output; it may have */
+/* an allowed subnormal value, which may need to be rounded) */
+/* set is the context [used for the rounding mode] */
+/* residue is any pending residue */
+/* status contains the current status to be updated */
+/* */
+/* If subset mode, set result to zero and set Underflow flags. */
+/* */
+/* Value may be zero with a low exponent; this does not set Subnormal */
+/* but the exponent will be clamped to Etiny. */
+/* */
+/* Otherwise ensure exponent is not out of range, and round as */
+/* necessary. Underflow is set if the result is Inexact. */
+/* ------------------------------------------------------------------ */
+static void decSetSubnormal(decNumber *dn, decContext *set, Int *residue,
+ uInt *status) {
+ decContext workset; // work
+ Int etiny, adjust; // ..
+
+ #if DECSUBSET
+ // simple set to zero and 'hard underflow' for subset
+ if (!set->extended) {
+ decNumberZero(dn);
+ // always full overflow
+ *status|=DEC_Underflow | DEC_Subnormal | DEC_Inexact | DEC_Rounded;
+ return;
+ }
+ #endif
+
+ // Full arithmetic -- allow subnormals, rounded to minimum exponent
+ // (Etiny) if needed
+ etiny=set->emin-(set->digits-1); // smallest allowed exponent
+
+ if ISZERO(dn) { // value is zero
+ // residue can never be non-zero here
+ #if DECCHECK
+ if (*residue!=0) {
+ printf("++ Subnormal 0 residue %ld\n", (LI)*residue);
+ *status|=DEC_Invalid_operation;
+ }
+ #endif
+ if (dn->exponent<etiny) { // clamp required
+ dn->exponent=etiny;
+ *status|=DEC_Clamped;
+ }
+ return;
+ }
+
+ *status|=DEC_Subnormal; // have a non-zero subnormal
+ adjust=etiny-dn->exponent; // calculate digits to remove
+ if (adjust<=0) { // not out of range; unrounded
+ // residue can never be non-zero here, except in the Nmin-residue
+ // case (which is a subnormal result), so can take fast-path here
+ // it may already be inexact (from setting the coefficient)
+ if (*status&DEC_Inexact) *status|=DEC_Underflow;
+ return;
+ }
+
+ // adjust>0, so need to rescale the result so exponent becomes Etiny
+ // [this code is similar to that in rescale]
+ workset=*set; // clone rounding, etc.
+ workset.digits=dn->digits-adjust; // set requested length
+ workset.emin-=adjust; // and adjust emin to match
+ // [note that the latter can be <1, here, similar to Rescale case]
+ decSetCoeff(dn, &workset, dn->lsu, dn->digits, residue, status);
+ decApplyRound(dn, &workset, *residue, status);
+
+ // Use 754 default rule: Underflow is set iff Inexact
+ // [independent of whether trapped]
+ if (*status&DEC_Inexact) *status|=DEC_Underflow;
+
+ // if rounded up a 999s case, exponent will be off by one; adjust
+ // back if so [it will fit, because it was shortened earlier]
+ if (dn->exponent>etiny) {
+ dn->digits=decShiftToMost(dn->lsu, dn->digits, 1);
+ dn->exponent--; // (re)adjust the exponent.
+ }
+
+ // if rounded to zero, it is by definition clamped...
+ if (ISZERO(dn)) *status|=DEC_Clamped;
+ } // decSetSubnormal
+
+/* ------------------------------------------------------------------ */
+/* decCheckMath - check entry conditions for a math function */
+/* */
+/* This checks the context and the operand */
+/* */
+/* rhs is the operand to check */
+/* set is the context to check */
+/* status is unchanged if both are good */
+/* */
+/* returns non-zero if status is changed, 0 otherwise */
+/* */
+/* Restrictions enforced: */
+/* */
+/* digits, emax, and -emin in the context must be less than */
+/* DEC_MAX_MATH (999999), and A must be within these bounds if */
+/* non-zero. Invalid_operation is set in the status if a */
+/* restriction is violated. */
+/* ------------------------------------------------------------------ */
+static uInt decCheckMath(const decNumber *rhs, decContext *set,
+ uInt *status) {
+ uInt save=*status; // record
+ if (set->digits>DEC_MAX_MATH
+ || set->emax>DEC_MAX_MATH
+ || -set->emin>DEC_MAX_MATH) *status|=DEC_Invalid_context;
+ else if ((rhs->digits>DEC_MAX_MATH
+ || rhs->exponent+rhs->digits>DEC_MAX_MATH+1
+ || rhs->exponent+rhs->digits<2*(1-DEC_MAX_MATH))
+ && !ISZERO(rhs)) *status|=DEC_Invalid_operation;
+ return (*status!=save);
+ } // decCheckMath
+
+/* ------------------------------------------------------------------ */
+/* decGetInt -- get integer from a number */
+/* */
+/* dn is the number [which will not be altered] */
+/* */
+/* returns one of: */
+/* BADINT if there is a non-zero fraction */
+/* the converted integer */
+/* BIGEVEN if the integer is even and magnitude > 2*10**9 */
+/* BIGODD if the integer is odd and magnitude > 2*10**9 */
+/* */
+/* This checks and gets a whole number from the input decNumber. */
+/* The sign can be determined from dn by the caller when BIGEVEN or */
+/* BIGODD is returned. */
+/* ------------------------------------------------------------------ */
+static Int decGetInt(const decNumber *dn) {
+ Int theInt; // result accumulator
+ const Unit *up; // work
+ Int got; // digits (real or not) processed
+ Int ilength=dn->digits+dn->exponent; // integral length
+ Flag neg=decNumberIsNegative(dn); // 1 if -ve
+
+ // The number must be an integer that fits in 10 digits
+ // Assert, here, that 10 is enough for any rescale Etiny
+ #if DEC_MAX_EMAX > 999999999
+ #error GetInt may need updating [for Emax]
+ #endif
+ #if DEC_MIN_EMIN < -999999999
+ #error GetInt may need updating [for Emin]
+ #endif
+ if (ISZERO(dn)) return 0; // zeros are OK, with any exponent
+
+ up=dn->lsu; // ready for lsu
+ theInt=0; // ready to accumulate
+ if (dn->exponent>=0) { // relatively easy
+ // no fractional part [usual]; allow for positive exponent
+ got=dn->exponent;
+ }
+ else { // -ve exponent; some fractional part to check and discard
+ Int count=-dn->exponent; // digits to discard
+ // spin up whole units until reach the Unit with the unit digit
+ for (; count>=DECDPUN; up++) {
+ if (*up!=0) return BADINT; // non-zero Unit to discard
+ count-=DECDPUN;
+ }
+ if (count==0) got=0; // [a multiple of DECDPUN]
+ else { // [not multiple of DECDPUN]
+ Int rem; // work
+ // slice off fraction digits and check for non-zero
+ #if DECDPUN<=4
+ theInt=QUOT10(*up, count);
+ rem=*up-theInt*powers[count];
+ #else
+ rem=*up%powers[count]; // slice off discards
+ theInt=*up/powers[count];
+ #endif
+ if (rem!=0) return BADINT; // non-zero fraction
+ // it looks good
+ got=DECDPUN-count; // number of digits so far
+ up++; // ready for next
+ }
+ }
+ // now it's known there's no fractional part
+
+ // tricky code now, to accumulate up to 9.3 digits
+ if (got==0) {theInt=*up; got+=DECDPUN; up++;} // ensure lsu is there
+
+ if (ilength<11) {
+ Int save=theInt;
+ // collect any remaining unit(s)
+ for (; got<ilength; up++) {
+ theInt+=*up*powers[got];
+ got+=DECDPUN;
+ }
+ if (ilength==10) { // need to check for wrap
+ if (theInt/(Int)powers[got-DECDPUN]!=(Int)*(up-1)) ilength=11;
+ // [that test also disallows the BADINT result case]
+ else if (neg && theInt>1999999997) ilength=11;
+ else if (!neg && theInt>999999999) ilength=11;
+ if (ilength==11) theInt=save; // restore correct low bit
+ }
+ }
+
+ if (ilength>10) { // too big
+ if (theInt&1) return BIGODD; // bottom bit 1
+ return BIGEVEN; // bottom bit 0
+ }
+
+ if (neg) theInt=-theInt; // apply sign
+ return theInt;
+ } // decGetInt
+
+/* ------------------------------------------------------------------ */
+/* decDecap -- decapitate the coefficient of a number */
+/* */
+/* dn is the number to be decapitated */
+/* drop is the number of digits to be removed from the left of dn; */
+/* this must be <= dn->digits (if equal, the coefficient is */
+/* set to 0) */
+/* */
+/* Returns dn; dn->digits will be <= the initial digits less drop */
+/* (after removing drop digits there may be leading zero digits */
+/* which will also be removed). Only dn->lsu and dn->digits change. */
+/* ------------------------------------------------------------------ */
+static decNumber *decDecap(decNumber *dn, Int drop) {
+ Unit *msu; // -> target cut point
+ Int cut; // work
+ if (drop>=dn->digits) { // losing the whole thing
+ #if DECCHECK
+ if (drop>dn->digits)
+ printf("decDecap called with drop>digits [%ld>%ld]\n",
+ (LI)drop, (LI)dn->digits);
+ #endif
+ dn->lsu[0]=0;
+ dn->digits=1;
+ return dn;
+ }
+ msu=dn->lsu+D2U(dn->digits-drop)-1; // -> likely msu
+ cut=MSUDIGITS(dn->digits-drop); // digits to be in use in msu
+ if (cut!=DECDPUN) *msu%=powers[cut]; // clear left digits
+ // that may have left leading zero digits, so do a proper count...
+ dn->digits=decGetDigits(dn->lsu, msu-dn->lsu+1);
+ return dn;
+ } // decDecap
+
+/* ------------------------------------------------------------------ */
+/* decBiStr -- compare string with pairwise options */
+/* */
+/* targ is the string to compare */
+/* str1 is one of the strings to compare against (length may be 0) */
+/* str2 is the other; it must be the same length as str1 */
+/* */
+/* returns 1 if strings compare equal, (that is, it is the same */
+/* length as str1 and str2, and each character of targ is in either */
+/* str1 or str2 in the corresponding position), or 0 otherwise */
+/* */
+/* This is used for generic caseless compare, including the awkward */
+/* case of the Turkish dotted and dotless Is. Use as (for example): */
+/* if (decBiStr(test, "mike", "MIKE")) ... */
+/* ------------------------------------------------------------------ */
+static Flag decBiStr(const char *targ, const char *str1, const char *str2) {
+ for (;;targ++, str1++, str2++) {
+ if (*targ!=*str1 && *targ!=*str2) return 0;
+ // *targ has a match in one (or both, if terminator)
+ if (*targ=='\0') break;
+ } // forever
+ return 1;
+ } // decBiStr
+
+/* ------------------------------------------------------------------ */
+/* decNaNs -- handle NaN operand or operands */
+/* */
+/* res is the result number */
+/* lhs is the first operand */
+/* rhs is the second operand, or NULL if none */
+/* context is used to limit payload length */
+/* status contains the current status */
+/* returns res in case convenient */
+/* */
+/* Called when one or both operands is a NaN, and propagates the */
+/* appropriate result to res. When an sNaN is found, it is changed */
+/* to a qNaN and Invalid operation is set. */
+/* ------------------------------------------------------------------ */
+static decNumber * decNaNs(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ uInt *status) {
+ // This decision tree ends up with LHS being the source pointer,
+ // and status updated if need be
+ if (lhs->bits & DECSNAN)
+ *status|=DEC_Invalid_operation | DEC_sNaN;
+ else if (rhs==NULL);
+ else if (rhs->bits & DECSNAN) {
+ lhs=rhs;
+ *status|=DEC_Invalid_operation | DEC_sNaN;
+ }
+ else if (lhs->bits & DECNAN);
+ else lhs=rhs;
+
+ // propagate the payload
+ if (lhs->digits<=set->digits) decNumberCopy(res, lhs); // easy
+ else { // too long
+ const Unit *ul;
+ Unit *ur, *uresp1;
+ // copy safe number of units, then decapitate
+ res->bits=lhs->bits; // need sign etc.
+ uresp1=res->lsu+D2U(set->digits);
+ for (ur=res->lsu, ul=lhs->lsu; ur<uresp1; ur++, ul++) *ur=*ul;
+ res->digits=D2U(set->digits)*DECDPUN;
+ // maybe still too long
+ if (res->digits>set->digits) decDecap(res, res->digits-set->digits);
+ }
+
+ res->bits&=~DECSNAN; // convert any sNaN to NaN, while
+ res->bits|=DECNAN; // .. preserving sign
+ res->exponent=0; // clean exponent
+ // [coefficient was copied/decapitated]
+ return res;
+ } // decNaNs
+
+/* ------------------------------------------------------------------ */
+/* decStatus -- apply non-zero status */
+/* */
+/* dn is the number to set if error */
+/* status contains the current status (not yet in context) */
+/* set is the context */
+/* */
+/* If the status is an error status, the number is set to a NaN, */
+/* unless the error was an overflow, divide-by-zero, or underflow, */
+/* in which case the number will have already been set. */
+/* */
+/* The context status is then updated with the new status. Note that */
+/* this may raise a signal, so control may never return from this */
+/* routine (hence resources must be recovered before it is called). */
+/* ------------------------------------------------------------------ */
+static void decStatus(decNumber *dn, uInt status, decContext *set) {
+ if (status & DEC_NaNs) { // error status -> NaN
+ // if cause was an sNaN, clear and propagate [NaN is already set up]
+ if (status & DEC_sNaN) status&=~DEC_sNaN;
+ else {
+ decNumberZero(dn); // other error: clean throughout
+ dn->bits=DECNAN; // and make a quiet NaN
+ }
+ }
+ decContextSetStatus(set, status); // [may not return]
+ return;
+ } // decStatus
+
+/* ------------------------------------------------------------------ */
+/* decGetDigits -- count digits in a Units array */
+/* */
+/* uar is the Unit array holding the number (this is often an */
+/* accumulator of some sort) */
+/* len is the length of the array in units [>=1] */
+/* */
+/* returns the number of (significant) digits in the array */
+/* */
+/* All leading zeros are excluded, except the last if the array has */
+/* only zero Units. */
+/* ------------------------------------------------------------------ */
+// This may be called twice during some operations.
+static Int decGetDigits(Unit *uar, Int len) {
+ Unit *up=uar+(len-1); // -> msu
+ Int digits=(len-1)*DECDPUN+1; // possible digits excluding msu
+ #if DECDPUN>4
+ uInt const *pow; // work
+ #endif
+ // (at least 1 in final msu)
+ #if DECCHECK
+ if (len<1) printf("decGetDigits called with len<1 [%ld]\n", (LI)len);
+ #endif
+
+ for (; up>=uar; up--) {
+ if (*up==0) { // unit is all 0s
+ if (digits==1) break; // a zero has one digit
+ digits-=DECDPUN; // adjust for 0 unit
+ continue;}
+ // found the first (most significant) non-zero Unit
+ #if DECDPUN>1 // not done yet
+ if (*up<10) break; // is 1-9
+ digits++;
+ #if DECDPUN>2 // not done yet
+ if (*up<100) break; // is 10-99
+ digits++;
+ #if DECDPUN>3 // not done yet
+ if (*up<1000) break; // is 100-999
+ digits++;
+ #if DECDPUN>4 // count the rest ...
+ for (pow=&powers[4]; *up>=*pow; pow++) digits++;
+ #endif
+ #endif
+ #endif
+ #endif
+ break;
+ } // up
+ return digits;
+ } // decGetDigits
+
+#if DECTRACE | DECCHECK
+/* ------------------------------------------------------------------ */
+/* decNumberShow -- display a number [debug aid] */
+/* dn is the number to show */
+/* */
+/* Shows: sign, exponent, coefficient (msu first), digits */
+/* or: sign, special-value */
+/* ------------------------------------------------------------------ */
+// this is public so other modules can use it
+void decNumberShow(const decNumber *dn) {
+ const Unit *up; // work
+ uInt u, d; // ..
+ Int cut; // ..
+ char isign='+'; // main sign
+ if (dn==NULL) {
+ printf("NULL\n");
+ return;}
+ if (decNumberIsNegative(dn)) isign='-';
+ printf(" >> %c ", isign);
+ if (dn->bits&DECSPECIAL) { // Is a special value
+ if (decNumberIsInfinite(dn)) printf("Infinity");
+ else { // a NaN
+ if (dn->bits&DECSNAN) printf("sNaN"); // signalling NaN
+ else printf("NaN");
+ }
+ // if coefficient and exponent are 0, no more to do
+ if (dn->exponent==0 && dn->digits==1 && *dn->lsu==0) {
+ printf("\n");
+ return;}
+ // drop through to report other information
+ printf(" ");
+ }
+
+ // now carefully display the coefficient
+ up=dn->lsu+D2U(dn->digits)-1; // msu
+ printf("%ld", (LI)*up);
+ for (up=up-1; up>=dn->lsu; up--) {
+ u=*up;
+ printf(":");
+ for (cut=DECDPUN-1; cut>=0; cut--) {
+ d=u/powers[cut];
+ u-=d*powers[cut];
+ printf("%ld", (LI)d);
+ } // cut
+ } // up
+ if (dn->exponent!=0) {
+ char esign='+';
+ if (dn->exponent<0) esign='-';
+ printf(" E%c%ld", esign, (LI)abs(dn->exponent));
+ }
+ printf(" [%ld]\n", (LI)dn->digits);
+ } // decNumberShow
+#endif
+
+#if DECTRACE || DECCHECK
+/* ------------------------------------------------------------------ */
+/* decDumpAr -- display a unit array [debug/check aid] */
+/* name is a single-character tag name */
+/* ar is the array to display */
+/* len is the length of the array in Units */
+/* ------------------------------------------------------------------ */
+static void decDumpAr(char name, const Unit *ar, Int len) {
+ Int i;
+ const char *spec;
+ #if DECDPUN==9
+ spec="%09d ";
+ #elif DECDPUN==8
+ spec="%08d ";
+ #elif DECDPUN==7
+ spec="%07d ";
+ #elif DECDPUN==6
+ spec="%06d ";
+ #elif DECDPUN==5
+ spec="%05d ";
+ #elif DECDPUN==4
+ spec="%04d ";
+ #elif DECDPUN==3
+ spec="%03d ";
+ #elif DECDPUN==2
+ spec="%02d ";
+ #else
+ spec="%d ";
+ #endif
+ printf(" :%c: ", name);
+ for (i=len-1; i>=0; i--) {
+ if (i==len-1) printf("%ld ", (LI)ar[i]);
+ else printf(spec, ar[i]);
+ }
+ printf("\n");
+ return;}
+#endif
+
+#if DECCHECK
+/* ------------------------------------------------------------------ */
+/* decCheckOperands -- check operand(s) to a routine */
+/* res is the result structure (not checked; it will be set to */
+/* quiet NaN if error found (and it is not NULL)) */
+/* lhs is the first operand (may be DECUNRESU) */
+/* rhs is the second (may be DECUNUSED) */
+/* set is the context (may be DECUNCONT) */
+/* returns 0 if both operands, and the context are clean, or 1 */
+/* otherwise (in which case the context will show an error, */
+/* unless NULL). Note that res is not cleaned; caller should */
+/* handle this so res=NULL case is safe. */
+/* The caller is expected to abandon immediately if 1 is returned. */
+/* ------------------------------------------------------------------ */
+static Flag decCheckOperands(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ Flag bad=0;
+ if (set==NULL) { // oops; hopeless
+ #if DECTRACE || DECVERB
+ printf("Reference to context is NULL.\n");
+ #endif
+ bad=1;
+ return 1;}
+ else if (set!=DECUNCONT
+ && (set->digits<1 || set->round>=DEC_ROUND_MAX)) {
+ bad=1;
+ #if DECTRACE || DECVERB
+ printf("Bad context [digits=%ld round=%ld].\n",
+ (LI)set->digits, (LI)set->round);
+ #endif
+ }
+ else {
+ if (res==NULL) {
+ bad=1;
+ #if DECTRACE
+ // this one not DECVERB as standard tests include NULL
+ printf("Reference to result is NULL.\n");
+ #endif
+ }
+ if (!bad && lhs!=DECUNUSED) bad=(decCheckNumber(lhs));
+ if (!bad && rhs!=DECUNUSED) bad=(decCheckNumber(rhs));
+ }
+ if (bad) {
+ if (set!=DECUNCONT) decContextSetStatus(set, DEC_Invalid_operation);
+ if (res!=DECUNRESU && res!=NULL) {
+ decNumberZero(res);
+ res->bits=DECNAN; // qNaN
+ }
+ }
+ return bad;
+ } // decCheckOperands
+
+/* ------------------------------------------------------------------ */
+/* decCheckNumber -- check a number */
+/* dn is the number to check */
+/* returns 0 if the number is clean, or 1 otherwise */
+/* */
+/* The number is considered valid if it could be a result from some */
+/* operation in some valid context. */
+/* ------------------------------------------------------------------ */
+static Flag decCheckNumber(const decNumber *dn) {
+ const Unit *up; // work
+ uInt maxuint; // ..
+ Int ae, d, digits; // ..
+ Int emin, emax; // ..
+
+ if (dn==NULL) { // hopeless
+ #if DECTRACE
+ // this one not DECVERB as standard tests include NULL
+ printf("Reference to decNumber is NULL.\n");
+ #endif
+ return 1;}
+
+ // check special values
+ if (dn->bits & DECSPECIAL) {
+ if (dn->exponent!=0) {
+ #if DECTRACE || DECVERB
+ printf("Exponent %ld (not 0) for a special value [%02x].\n",
+ (LI)dn->exponent, dn->bits);
+ #endif
+ return 1;}
+
+ // 2003.09.08: NaNs may now have coefficients, so next tests Inf only
+ if (decNumberIsInfinite(dn)) {
+ if (dn->digits!=1) {
+ #if DECTRACE || DECVERB
+ printf("Digits %ld (not 1) for an infinity.\n", (LI)dn->digits);
+ #endif
+ return 1;}
+ if (*dn->lsu!=0) {
+ #if DECTRACE || DECVERB
+ printf("LSU %ld (not 0) for an infinity.\n", (LI)*dn->lsu);
+ #endif
+ decDumpAr('I', dn->lsu, D2U(dn->digits));
+ return 1;}
+ } // Inf
+ // 2002.12.26: negative NaNs can now appear through proposed IEEE
+ // concrete formats (decimal64, etc.).
+ return 0;
+ }
+
+ // check the coefficient
+ if (dn->digits<1 || dn->digits>DECNUMMAXP) {
+ #if DECTRACE || DECVERB
+ printf("Digits %ld in number.\n", (LI)dn->digits);
+ #endif
+ return 1;}
+
+ d=dn->digits;
+
+ for (up=dn->lsu; d>0; up++) {
+ if (d>DECDPUN) maxuint=DECDPUNMAX;
+ else { // reached the msu
+ maxuint=powers[d]-1;
+ if (dn->digits>1 && *up<powers[d-1]) {
+ #if DECTRACE || DECVERB
+ printf("Leading 0 in number.\n");
+ decNumberShow(dn);
+ #endif
+ return 1;}
+ }
+ if (*up>maxuint) {
+ #if DECTRACE || DECVERB
+ printf("Bad Unit [%08lx] in %ld-digit number at offset %ld [maxuint %ld].\n",
+ (LI)*up, (LI)dn->digits, (LI)(up-dn->lsu), (LI)maxuint);
+ #endif
+ return 1;}
+ d-=DECDPUN;
+ }
+
+ // check the exponent. Note that input operands can have exponents
+ // which are out of the set->emin/set->emax and set->digits range
+ // (just as they can have more digits than set->digits).
+ ae=dn->exponent+dn->digits-1; // adjusted exponent
+ emax=DECNUMMAXE;
+ emin=DECNUMMINE;
+ digits=DECNUMMAXP;
+ if (ae<emin-(digits-1)) {
+ #if DECTRACE || DECVERB
+ printf("Adjusted exponent underflow [%ld].\n", (LI)ae);
+ decNumberShow(dn);
+ #endif
+ return 1;}
+ if (ae>+emax) {
+ #if DECTRACE || DECVERB
+ printf("Adjusted exponent overflow [%ld].\n", (LI)ae);
+ decNumberShow(dn);
+ #endif
+ return 1;}
+
+ return 0; // it's OK
+ } // decCheckNumber
+
+/* ------------------------------------------------------------------ */
+/* decCheckInexact -- check a normal finite inexact result has digits */
+/* dn is the number to check */
+/* set is the context (for status and precision) */
+/* sets Invalid operation, etc., if some digits are missing */
+/* [this check is not made for DECSUBSET compilation or when */
+/* subnormal is not set] */
+/* ------------------------------------------------------------------ */
+static void decCheckInexact(const decNumber *dn, decContext *set) {
+ #if !DECSUBSET && DECEXTFLAG
+ if ((set->status & (DEC_Inexact|DEC_Subnormal))==DEC_Inexact
+ && (set->digits!=dn->digits) && !(dn->bits & DECSPECIAL)) {
+ #if DECTRACE || DECVERB
+ printf("Insufficient digits [%ld] on normal Inexact result.\n",
+ (LI)dn->digits);
+ decNumberShow(dn);
+ #endif
+ decContextSetStatus(set, DEC_Invalid_operation);
+ }
+ #else
+ // next is a noop for quiet compiler
+ if (dn!=NULL && dn->digits==0) set->status|=DEC_Invalid_operation;
+ #endif
+ return;
+ } // decCheckInexact
+#endif
+
+#if DECALLOC
+#undef malloc
+#undef free
+/* ------------------------------------------------------------------ */
+/* decMalloc -- accountable allocation routine */
+/* n is the number of bytes to allocate */
+/* */
+/* Semantics is the same as the stdlib malloc routine, but bytes */
+/* allocated are accounted for globally, and corruption fences are */
+/* added before and after the 'actual' storage. */
+/* ------------------------------------------------------------------ */
+/* This routine allocates storage with an extra twelve bytes; 8 are */
+/* at the start and hold: */
+/* 0-3 the original length requested */
+/* 4-7 buffer corruption detection fence (DECFENCE, x4) */
+/* The 4 bytes at the end also hold a corruption fence (DECFENCE, x4) */
+/* ------------------------------------------------------------------ */
+static void *decMalloc(size_t n) {
+ uInt size=n+12; // true size
+ void *alloc; // -> allocated storage
+ uByte *b, *b0; // work
+ uInt uiwork; // for macros
+
+ alloc=malloc(size); // -> allocated storage
+ if (alloc==NULL) return NULL; // out of strorage
+ b0=(uByte *)alloc; // as bytes
+ decAllocBytes+=n; // account for storage
+ UBFROMUI(alloc, n); // save n
+ // printf(" alloc ++ dAB: %ld (%ld)\n", (LI)decAllocBytes, (LI)n);
+ for (b=b0+4; b<b0+8; b++) *b=DECFENCE;
+ for (b=b0+n+8; b<b0+n+12; b++) *b=DECFENCE;
+ return b0+8; // -> play area
+ } // decMalloc
+
+/* ------------------------------------------------------------------ */
+/* decFree -- accountable free routine */
+/* alloc is the storage to free */
+/* */
+/* Semantics is the same as the stdlib malloc routine, except that */
+/* the global storage accounting is updated and the fences are */
+/* checked to ensure that no routine has written 'out of bounds'. */
+/* ------------------------------------------------------------------ */
+/* This routine first checks that the fences have not been corrupted. */
+/* It then frees the storage using the 'truw' storage address (that */
+/* is, offset by 8). */
+/* ------------------------------------------------------------------ */
+static void decFree(void *alloc) {
+ uInt n; // original length
+ uByte *b, *b0; // work
+ uInt uiwork; // for macros
+
+ if (alloc==NULL) return; // allowed; it's a nop
+ b0=(uByte *)alloc; // as bytes
+ b0-=8; // -> true start of storage
+ n=UBTOUI(b0); // lift length
+ for (b=b0+4; b<b0+8; b++) if (*b!=DECFENCE)
+ printf("=== Corrupt byte [%02x] at offset %d from %ld ===\n", *b,
+ b-b0-8, (LI)b0);
+ for (b=b0+n+8; b<b0+n+12; b++) if (*b!=DECFENCE)
+ printf("=== Corrupt byte [%02x] at offset +%d from %ld, n=%ld ===\n", *b,
+ b-b0-8, (LI)b0, (LI)n);
+ free(b0); // drop the storage
+ decAllocBytes-=n; // account for storage
+ // printf(" free -- dAB: %d (%d)\n", decAllocBytes, -n);
+ } // decFree
+#define malloc(a) decMalloc(a)
+#define free(a) decFree(a)
+#endif
diff -Naur a/src/decNumber/decNumber.h b/src/decNumber/decNumber.h
--- a/src/decNumber/decNumber.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decNumber.h 2021-09-29 10:19:45.803827654 -0700
@@ -0,0 +1,182 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number arithmetic module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECNUMBER)
+ #define DECNUMBER
+ #define DECNAME "decNumber" /* Short name */
+ #define DECFULLNAME "Decimal Number Module" /* Verbose name */
+ #define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ #if !defined(DECCONTEXT)
+ #include "decContext.h"
+ #endif
+
+ /* Bit settings for decNumber.bits */
+ #define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */
+ #define DECINF 0x40 /* 1=Infinity */
+ #define DECNAN 0x20 /* 1=NaN */
+ #define DECSNAN 0x10 /* 1=sNaN */
+ /* The remaining bits are reserved; they must be 0 */
+ #define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */
+
+ /* Define the decNumber data structure. The size and shape of the */
+ /* units array in the structure is determined by the following */
+ /* constant. This must not be changed without recompiling the */
+ /* decNumber library modules. */
+
+ #define DECDPUN 3 /* DECimal Digits Per UNit [must be >0 */
+ /* and <10; 3 or powers of 2 are best]. */
+
+ /* DECNUMDIGITS is the default number of digits that can be held in */
+ /* the structure. If undefined, 1 is assumed and it is assumed */
+ /* that the structure will be immediately followed by extra space, */
+ /* as required. DECNUMDIGITS is always >0. */
+ #if !defined(DECNUMDIGITS)
+ #define DECNUMDIGITS 1
+ #endif
+
+ /* The size (integer data type) of each unit is determined by the */
+ /* number of digits it will hold. */
+ #if DECDPUN<=2
+ #define decNumberUnit uint8_t
+ #elif DECDPUN<=4
+ #define decNumberUnit uint16_t
+ #else
+ #define decNumberUnit uint32_t
+ #endif
+ /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
+ #define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
+
+ /* The data structure... */
+ typedef struct {
+ int32_t digits; /* Count of digits in the coefficient; >0 */
+ int32_t exponent; /* Unadjusted exponent, unbiased, in */
+ /* range: -1999999997 through 999999999 */
+ uint8_t bits; /* Indicator bits (see above) */
+ /* Coefficient, from least significant unit */
+ decNumberUnit lsu[DECNUMUNITS];
+ } decNumber;
+
+ /* Notes: */
+ /* 1. If digits is > DECDPUN then there will one or more */
+ /* decNumberUnits immediately following the first element of lsu.*/
+ /* These contain the remaining (more significant) digits of the */
+ /* number, and may be in the lsu array, or may be guaranteed by */
+ /* some other mechanism (such as being contained in another */
+ /* structure, or being overlaid on dynamically allocated */
+ /* storage). */
+ /* */
+ /* Each integer of the coefficient (except potentially the last) */
+ /* contains DECDPUN digits (e.g., a value in the range 0 through */
+ /* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
+ /* */
+ /* 2. A decNumber converted to a string may need up to digits+14 */
+ /* characters. The worst cases (non-exponential and exponential */
+ /* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
+ /* (where # is '\0') */
+
+
+ /* ---------------------------------------------------------------- */
+ /* decNumber public functions and macros */
+ /* ---------------------------------------------------------------- */
+ /* Conversions */
+ decNumber * decNumberFromInt32(decNumber *, int32_t);
+ decNumber * decNumberFromUInt32(decNumber *, uint32_t);
+ decNumber * decNumberFromString(decNumber *, const char *, decContext *);
+ char * decNumberToString(const decNumber *, char *);
+ char * decNumberToEngString(const decNumber *, char *);
+ uint32_t decNumberToUInt32(const decNumber *, decContext *);
+ int32_t decNumberToInt32(const decNumber *, decContext *);
+ uint8_t * decNumberGetBCD(const decNumber *, uint8_t *);
+ decNumber * decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
+
+ /* Operators and elementary functions */
+ decNumber * decNumberAbs(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberExp(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberInvert(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberLn(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberLogB(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberLog10(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMinus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberNormalize(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberPlus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberReduce(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
+ decNumber * decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
+
+ /* Utilities */
+ enum decClass decNumberClass(const decNumber *, decContext *);
+ const char * decNumberClassToString(enum decClass);
+ decNumber * decNumberCopy(decNumber *, const decNumber *);
+ decNumber * decNumberCopyAbs(decNumber *, const decNumber *);
+ decNumber * decNumberCopyNegate(decNumber *, const decNumber *);
+ decNumber * decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
+ decNumber * decNumberNextMinus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberNextPlus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberTrim(decNumber *);
+ const char * decNumberVersion(void);
+ decNumber * decNumberZero(decNumber *);
+
+ /* Functions for testing decNumbers (normality depends on context) */
+ int32_t decNumberIsNormal(const decNumber *, decContext *);
+ int32_t decNumberIsSubnormal(const decNumber *, decContext *);
+
+ /* Macros for testing decNumber *dn */
+ #define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
+ #define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
+ #define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
+ #define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
+ #define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
+ #define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
+ #define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
+ #define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
+ #define decNumberIsZero(dn) (*(dn)->lsu==0 \
+ && (dn)->digits==1 \
+ && (((dn)->bits&DECSPECIAL)==0))
+ #define decNumberRadix(dn) (10)
+
+#endif
diff -Naur a/src/decNumber/decNumberLocal.h b/src/decNumber/decNumberLocal.h
--- a/src/decNumber/decNumberLocal.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decNumberLocal.h 2021-09-29 10:19:45.803827654 -0700
@@ -0,0 +1,757 @@
+/* ------------------------------------------------------------------ */
+/* decNumber package local type, tuning, and macro definitions */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This header file is included by all modules in the decNumber */
+/* library, and contains local type definitions, tuning parameters, */
+/* etc. It should not need to be used by application programs. */
+/* decNumber.h or one of decDouble (etc.) must be included first. */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECNUMBERLOC)
+ #define DECNUMBERLOC
+ #define DECVERSION "decNumber 3.68" /* Package Version [16 max.] */
+ #define DECNLAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ #include <stdlib.h> /* for abs */
+ #include <string.h> /* for memset, strcpy */
+
+ /* Conditional code flag -- set this to match hardware platform */
+ #if !defined(DECLITEND)
+ #define DECLITEND 1 /* 1=little-endian, 0=big-endian */
+ #endif
+
+ /* Conditional code flag -- set this to 1 for best performance */
+ #if !defined(DECUSE64)
+ #define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */
+ #endif
+
+ /* Conditional code flag -- set this to 0 to exclude printf calls */
+ #if !defined(DECPRINT)
+ #define DECPRINT 1 /* 1=allow printf calls; 0=no printf */
+ #endif
+
+ /* Conditional check flags -- set these to 0 for best performance */
+ #if !defined(DECCHECK)
+ #define DECCHECK 0 /* 1 to enable robust checking */
+ #endif
+ #if !defined(DECALLOC)
+ #define DECALLOC 0 /* 1 to enable memory accounting */
+ #endif
+ #if !defined(DECTRACE)
+ #define DECTRACE 0 /* 1 to trace certain internals, etc. */
+ #endif
+
+ /* Tuning parameter for decNumber (arbitrary precision) module */
+ #if !defined(DECBUFFER)
+ #define DECBUFFER 36 /* Size basis for local buffers. This */
+ /* should be a common maximum precision */
+ /* rounded up to a multiple of 4; must */
+ /* be zero or positive. */
+ #endif
+
+
+ /* ---------------------------------------------------------------- */
+ /* Check parameter dependencies */
+ /* ---------------------------------------------------------------- */
+ #if DECCHECK & !DECPRINT
+ #error DECCHECK needs DECPRINT to be useful
+ #endif
+ #if DECALLOC & !DECPRINT
+ #error DECALLOC needs DECPRINT to be useful
+ #endif
+ #if DECTRACE & !DECPRINT
+ #error DECTRACE needs DECPRINT to be useful
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Definitions for all modules (general-purpose) */
+ /* ---------------------------------------------------------------- */
+
+ /* Local names for common types -- for safety, decNumber modules do */
+ /* not use int or long directly. */
+ #define Flag uint8_t
+ #define Byte int8_t
+ #define uByte uint8_t
+ #define Short int16_t
+ #define uShort uint16_t
+ #define Int int32_t
+ #define uInt uint32_t
+ #define Unit decNumberUnit
+ #if DECUSE64
+ #define Long int64_t
+ #define uLong uint64_t
+ #endif
+
+ /* Development-use definitions */
+ typedef long int LI; /* for printf arguments only */
+ #define DECNOINT 0 /* 1 to check no internal use of 'int' */
+ /* or stdint types */
+ #if DECNOINT
+ /* if these interfere with your C includes, do not set DECNOINT */
+ #define int ? /* enable to ensure that plain C 'int' */
+ #define long ?? /* .. or 'long' types are not used */
+ #endif
+
+ /* Shared lookup tables */
+ extern const uByte DECSTICKYTAB[10]; /* re-round digits if sticky */
+ extern const uInt DECPOWERS[10]; /* powers of ten table */
+ /* The following are included from decDPD.h */
+ extern const uShort DPD2BIN[1024]; /* DPD -> 0-999 */
+ extern const uShort BIN2DPD[1000]; /* 0-999 -> DPD */
+ extern const uInt DPD2BINK[1024]; /* DPD -> 0-999000 */
+ extern const uInt DPD2BINM[1024]; /* DPD -> 0-999000000 */
+ extern const uByte DPD2BCD8[4096]; /* DPD -> ddd + len */
+ extern const uByte BIN2BCD8[4000]; /* 0-999 -> ddd + len */
+ extern const uShort BCD2DPD[2458]; /* 0-0x999 -> DPD (0x999=2457)*/
+
+ /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts */
+ /* (that is, sets w to be the high-order word of the 64-bit result; */
+ /* the low-order word is simply u*v.) */
+ /* This version is derived from Knuth via Hacker's Delight; */
+ /* it seems to optimize better than some others tried */
+ #define LONGMUL32HI(w, u, v) { \
+ uInt u0, u1, v0, v1, w0, w1, w2, t; \
+ u0=u & 0xffff; u1=u>>16; \
+ v0=v & 0xffff; v1=v>>16; \
+ w0=u0*v0; \
+ t=u1*v0 + (w0>>16); \
+ w1=t & 0xffff; w2=t>>16; \
+ w1=u0*v1 + w1; \
+ (w)=u1*v1 + w2 + (w1>>16);}
+
+ /* ROUNDUP -- round an integer up to a multiple of n */
+ #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)
+ #define ROUNDUP4(i) (((i)+3)&~3) /* special for n=4 */
+
+ /* ROUNDDOWN -- round an integer down to a multiple of n */
+ #define ROUNDDOWN(i, n) (((i)/n)*n)
+ #define ROUNDDOWN4(i) ((i)&~3) /* special for n=4 */
+
+ /* References to multi-byte sequences under different sizes; these */
+ /* require locally declared variables, but do not violate strict */
+ /* aliasing or alignment (as did the UINTAT simple cast to uInt). */
+ /* Variables needed are uswork, uiwork, etc. [so do not use at same */
+ /* level in an expression, e.g., UBTOUI(x)==UBTOUI(y) may fail]. */
+
+ /* Return a uInt, etc., from bytes starting at a char* or uByte* */
+ #define UBTOUS(b) (memcpy((void *)&uswork, b, 2), uswork)
+ #define UBTOUI(b) (memcpy((void *)&uiwork, b, 4), uiwork)
+
+ /* Store a uInt, etc., into bytes starting at a char* or uByte*. */
+ /* Returns i, evaluated, for convenience; has to use uiwork because */
+ /* i may be an expression. */
+ #define UBFROMUS(b, i) (uswork=(i), memcpy(b, (void *)&uswork, 2), uswork)
+ #define UBFROMUI(b, i) (uiwork=(i), memcpy(b, (void *)&uiwork, 4), uiwork)
+
+ /* X10 and X100 -- multiply integer i by 10 or 100 */
+ /* [shifts are usually faster than multiply; could be conditional] */
+ #define X10(i) (((i)<<1)+((i)<<3))
+ #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))
+
+ /* MAXI and MINI -- general max & min (not in ANSI) for integers */
+ #define MAXI(x,y) ((x)<(y)?(y):(x))
+ #define MINI(x,y) ((x)>(y)?(y):(x))
+
+ /* Useful constants */
+ #define BILLION 1000000000 /* 10**9 */
+ /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC */
+ #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')
+
+
+ /* ---------------------------------------------------------------- */
+ /* Definitions for arbitary-precision modules (only valid after */
+ /* decNumber.h has been included) */
+ /* ---------------------------------------------------------------- */
+
+ /* Limits and constants */
+ #define DECNUMMAXP 999999999 /* maximum precision code can handle */
+ #define DECNUMMAXE 999999999 /* maximum adjusted exponent ditto */
+ #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto */
+ #if (DECNUMMAXP != DEC_MAX_DIGITS)
+ #error Maximum digits mismatch
+ #endif
+ #if (DECNUMMAXE != DEC_MAX_EMAX)
+ #error Maximum exponent mismatch
+ #endif
+ #if (DECNUMMINE != DEC_MIN_EMIN)
+ #error Minimum exponent mismatch
+ #endif
+
+ /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN */
+ /* digits, and D2UTABLE -- the initializer for the D2U table */
+ #if DECDPUN==1
+ #define DECDPUNMAX 9
+ #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17, \
+ 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
+ 33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
+ 48,49}
+ #elif DECDPUN==2
+ #define DECDPUNMAX 99
+ #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10, \
+ 11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
+ 18,19,19,20,20,21,21,22,22,23,23,24,24,25}
+ #elif DECDPUN==3
+ #define DECDPUNMAX 999
+ #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7, \
+ 8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
+ 13,14,14,14,15,15,15,16,16,16,17}
+ #elif DECDPUN==4
+ #define DECDPUNMAX 9999
+ #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6, \
+ 6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
+ 11,11,11,12,12,12,12,13}
+ #elif DECDPUN==5
+ #define DECDPUNMAX 99999
+ #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5, \
+ 5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9, \
+ 9,9,10,10,10,10}
+ #elif DECDPUN==6
+ #define DECDPUNMAX 999999
+ #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4, \
+ 4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8, \
+ 8,8,8,8,8,9}
+ #elif DECDPUN==7
+ #define DECDPUNMAX 9999999
+ #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3, \
+ 4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7, \
+ 7,7,7,7,7,7}
+ #elif DECDPUN==8
+ #define DECDPUNMAX 99999999
+ #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3, \
+ 3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6, \
+ 6,6,6,6,6,7}
+ #elif DECDPUN==9
+ #define DECDPUNMAX 999999999
+ #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3, \
+ 3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, \
+ 5,5,6,6,6,6}
+ #elif defined(DECDPUN)
+ #error DECDPUN must be in the range 1-9
+ #endif
+
+ /* ----- Shared data (in decNumber.c) ----- */
+ /* Public lookup table used by the D2U macro (see below) */
+ #define DECMAXD2U 49
+ extern const uByte d2utable[DECMAXD2U+1];
+
+ /* ----- Macros ----- */
+ /* ISZERO -- return true if decNumber dn is a zero */
+ /* [performance-critical in some situations] */
+ #define ISZERO(dn) decNumberIsZero(dn) /* now just a local name */
+
+ /* D2U -- return the number of Units needed to hold d digits */
+ /* (runtime version, with table lookaside for small d) */
+ #if DECDPUN==8
+ #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
+ #elif DECDPUN==4
+ #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
+ #else
+ #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
+ #endif
+ /* SD2U -- static D2U macro (for compile-time calculation) */
+ #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
+
+ /* MSUDIGITS -- returns digits in msu, from digits, calculated */
+ /* using D2U */
+ #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
+
+ /* D2N -- return the number of decNumber structs that would be */
+ /* needed to contain that number of digits (and the initial */
+ /* decNumber struct) safely. Note that one Unit is included in the */
+ /* initial structure. Used for allocating space that is aligned on */
+ /* a decNumber struct boundary. */
+ #define D2N(d) \
+ ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))
+
+ /* TODIGIT -- macro to remove the leading digit from the unsigned */
+ /* integer u at column cut (counting from the right, LSD=0) and */
+ /* place it as an ASCII character into the character pointed to by */
+ /* c. Note that cut must be <= 9, and the maximum value for u is */
+ /* 2,000,000,000 (as is needed for negative exponents of */
+ /* subnormals). The unsigned integer pow is used as a temporary */
+ /* variable. */
+ #define TODIGIT(u, cut, c, pow) { \
+ *(c)='0'; \
+ pow=DECPOWERS[cut]*2; \
+ if ((u)>pow) { \
+ pow*=4; \
+ if ((u)>=pow) {(u)-=pow; *(c)+=8;} \
+ pow/=2; \
+ if ((u)>=pow) {(u)-=pow; *(c)+=4;} \
+ pow/=2; \
+ } \
+ if ((u)>=pow) {(u)-=pow; *(c)+=2;} \
+ pow/=2; \
+ if ((u)>=pow) {(u)-=pow; *(c)+=1;} \
+ }
+
+ /* ---------------------------------------------------------------- */
+ /* Definitions for fixed-precision modules (only valid after */
+ /* decSingle.h, decDouble.h, or decQuad.h has been included) */
+ /* ---------------------------------------------------------------- */
+
+ /* bcdnum -- a structure describing a format-independent finite */
+ /* number, whose coefficient is a string of bcd8 uBytes */
+ typedef struct {
+ uByte *msd; /* -> most significant digit */
+ uByte *lsd; /* -> least ditto */
+ uInt sign; /* 0=positive, DECFLOAT_Sign=negative */
+ Int exponent; /* Unadjusted signed exponent (q), or */
+ /* DECFLOAT_NaN etc. for a special */
+ } bcdnum;
+
+ /* Test if exponent or bcdnum exponent must be a special, etc. */
+ #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
+ #define EXPISINF(exp) (exp==DECFLOAT_Inf)
+ #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
+ #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
+
+ /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian */
+ /* (array) notation (the 0 word or byte contains the sign bit), */
+ /* automatically adjusting for endianness; similarly address a word */
+ /* in the next-wider format (decFloatWider, or dfw) */
+ #define DECWORDS (DECBYTES/4)
+ #define DECWWORDS (DECWBYTES/4)
+ #if DECLITEND
+ #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)])
+ #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)])
+ #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
+ #else
+ #define DFBYTE(df, off) ((df)->bytes[off])
+ #define DFWORD(df, off) ((df)->words[off])
+ #define DFWWORD(dfw, off) ((dfw)->words[off])
+ #endif
+
+ /* Tests for sign or specials, directly on DECFLOATs */
+ #define DFISSIGNED(df) ((DFWORD(df, 0)&0x80000000)!=0)
+ #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
+ #define DFISINF(df) ((DFWORD(df, 0)&0x7c000000)==0x78000000)
+ #define DFISNAN(df) ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
+ #define DFISQNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
+ #define DFISSNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
+
+ /* Shared lookup tables */
+ extern const uInt DECCOMBMSD[64]; /* Combination field -> MSD */
+ extern const uInt DECCOMBFROM[48]; /* exp+msd -> Combination */
+
+ /* Private generic (utility) routine */
+ #if DECCHECK || DECTRACE
+ extern void decShowNum(const bcdnum *, const char *);
+ #endif
+
+ /* Format-dependent macros and constants */
+ #if defined(DECPMAX)
+
+ /* Useful constants */
+ #define DECPMAX9 (ROUNDUP(DECPMAX, 9)/9) /* 'Pmax' in 10**9s */
+ /* Top words for a zero */
+ #define SINGLEZERO 0x22500000
+ #define DOUBLEZERO 0x22380000
+ #define QUADZERO 0x22080000
+ /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
+
+ /* Format-dependent common tests: */
+ /* DFISZERO -- test for (any) zero */
+ /* DFISCCZERO -- test for coefficient continuation being zero */
+ /* DFISCC01 -- test for coefficient contains only 0s and 1s */
+ /* DFISINT -- test for finite and exponent q=0 */
+ /* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */
+ /* MSD=0 or 1 */
+ /* ZEROWORD is also defined here. */
+ /* */
+ /* In DFISZERO the first test checks the least-significant word */
+ /* (most likely to be non-zero); the penultimate tests MSD and */
+ /* DPDs in the signword, and the final test excludes specials and */
+ /* MSD>7. DFISINT similarly has to allow for the two forms of */
+ /* MSD codes. DFISUINT01 only has to allow for one form of MSD */
+ /* code. */
+ #if DECPMAX==7
+ #define ZEROWORD SINGLEZERO
+ /* [test macros not needed except for Zero] */
+ #define DFISZERO(df) ((DFWORD(df, 0)&0x1c0fffff)==0 \
+ && (DFWORD(df, 0)&0x60000000)!=0x60000000)
+ #elif DECPMAX==16
+ #define ZEROWORD DOUBLEZERO
+ #define DFISZERO(df) ((DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x1c03ffff)==0 \
+ && (DFWORD(df, 0)&0x60000000)!=0x60000000))
+ #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000 \
+ ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
+ #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
+ #define DFISCCZERO(df) (DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x0003ffff)==0)
+ #define DFISCC01(df) ((DFWORD(df, 0)&~0xfffc9124)==0 \
+ && (DFWORD(df, 1)&~0x49124491)==0)
+ #elif DECPMAX==34
+ #define ZEROWORD QUADZERO
+ #define DFISZERO(df) ((DFWORD(df, 3)==0 \
+ && DFWORD(df, 2)==0 \
+ && DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x1c003fff)==0 \
+ && (DFWORD(df, 0)&0x60000000)!=0x60000000))
+ #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000 \
+ ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
+ #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
+ #define DFISCCZERO(df) (DFWORD(df, 3)==0 \
+ && DFWORD(df, 2)==0 \
+ && DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x00003fff)==0)
+
+ #define DFISCC01(df) ((DFWORD(df, 0)&~0xffffc912)==0 \
+ && (DFWORD(df, 1)&~0x44912449)==0 \
+ && (DFWORD(df, 2)&~0x12449124)==0 \
+ && (DFWORD(df, 3)&~0x49124491)==0)
+ #endif
+
+ /* Macros to test if a certain 10 bits of a uInt or pair of uInts */
+ /* are a canonical declet [higher or lower bits are ignored]. */
+ /* declet is at offset 0 (from the right) in a uInt: */
+ #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
+ /* declet is at offset k (a multiple of 2) in a uInt: */
+ #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0 \
+ || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
+ /* declet is at offset k (a multiple of 2) in a pair of uInts: */
+ /* [the top 2 bits will always be in the more-significant uInt] */
+ #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0 \
+ || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k))) \
+ || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
+
+ /* Macro to test whether a full-length (length DECPMAX) BCD8 */
+ /* coefficient, starting at uByte u, is all zeros */
+ /* Test just the LSWord first, then the remainder as a sequence */
+ /* of tests in order to avoid same-level use of UBTOUI */
+ #if DECPMAX==7
+ #define ISCOEFFZERO(u) ( \
+ UBTOUI((u)+DECPMAX-4)==0 \
+ && UBTOUS((u)+DECPMAX-6)==0 \
+ && *(u)==0)
+ #elif DECPMAX==16
+ #define ISCOEFFZERO(u) ( \
+ UBTOUI((u)+DECPMAX-4)==0 \
+ && UBTOUI((u)+DECPMAX-8)==0 \
+ && UBTOUI((u)+DECPMAX-12)==0 \
+ && UBTOUI(u)==0)
+ #elif DECPMAX==34
+ #define ISCOEFFZERO(u) ( \
+ UBTOUI((u)+DECPMAX-4)==0 \
+ && UBTOUI((u)+DECPMAX-8)==0 \
+ && UBTOUI((u)+DECPMAX-12)==0 \
+ && UBTOUI((u)+DECPMAX-16)==0 \
+ && UBTOUI((u)+DECPMAX-20)==0 \
+ && UBTOUI((u)+DECPMAX-24)==0 \
+ && UBTOUI((u)+DECPMAX-28)==0 \
+ && UBTOUI((u)+DECPMAX-32)==0 \
+ && UBTOUS(u)==0)
+ #endif
+
+ /* Macros and masks for the sign, exponent continuation, and MSD */
+ /* Get the sign as DECFLOAT_Sign or 0 */
+ #define GETSIGN(df) (DFWORD(df, 0)&0x80000000)
+ /* Get the exponent continuation from a decFloat *df as an Int */
+ #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
+ /* Ditto, from the next-wider format */
+ #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
+ /* Get the biased exponent similarly */
+ #define GETEXP(df) ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
+ /* Get the unbiased exponent similarly */
+ #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
+ /* Get the MSD similarly (as uInt) */
+ #define GETMSD(df) (DECCOMBMSD[DFWORD((df), 0)>>26])
+
+ /* Compile-time computes of the exponent continuation field masks */
+ /* full exponent continuation field: */
+ #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
+ /* same, not including its first digit (the qNaN/sNaN selector): */
+ #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
+
+ /* Macros to decode the coefficient in a finite decFloat *df into */
+ /* a BCD string (uByte *bcdin) of length DECPMAX uBytes. */
+
+ /* In-line sequence to convert least significant 10 bits of uInt */
+ /* dpd to three BCD8 digits starting at uByte u. Note that an */
+ /* extra byte is written to the right of the three digits because */
+ /* four bytes are moved at a time for speed; the alternative */
+ /* macro moves exactly three bytes (usually slower). */
+ #define dpd2bcd8(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 4)
+ #define dpd2bcd83(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 3)
+
+ /* Decode the declets. After extracting each one, it is decoded */
+ /* to BCD8 using a table lookup (also used for variable-length */
+ /* decode). Each DPD decode is 3 bytes BCD8 plus a one-byte */
+ /* length which is not used, here). Fixed-length 4-byte moves */
+ /* are fast, however, almost everywhere, and so are used except */
+ /* for the final three bytes (to avoid overrun). The code below */
+ /* is 36 instructions for Doubles and about 70 for Quads, even */
+ /* on IA32. */
+
+ /* Two macros are defined for each format: */
+ /* GETCOEFF extracts the coefficient of the current format */
+ /* GETWCOEFF extracts the coefficient of the next-wider format. */
+ /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */
+
+ #if DECPMAX==7
+ #define GETCOEFF(df, bcd) { \
+ uInt sourhi=DFWORD(df, 0); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>10); \
+ dpd2bcd83(bcd+4, sourhi);}
+ #define GETWCOEFF(df, bcd) { \
+ uInt sourhi=DFWWORD(df, 0); \
+ uInt sourlo=DFWWORD(df, 1); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>8); \
+ dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+7, sourlo>>20); \
+ dpd2bcd8(bcd+10, sourlo>>10); \
+ dpd2bcd83(bcd+13, sourlo);}
+
+ #elif DECPMAX==16
+ #define GETCOEFF(df, bcd) { \
+ uInt sourhi=DFWORD(df, 0); \
+ uInt sourlo=DFWORD(df, 1); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>8); \
+ dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+7, sourlo>>20); \
+ dpd2bcd8(bcd+10, sourlo>>10); \
+ dpd2bcd83(bcd+13, sourlo);}
+ #define GETWCOEFF(df, bcd) { \
+ uInt sourhi=DFWWORD(df, 0); \
+ uInt sourmh=DFWWORD(df, 1); \
+ uInt sourml=DFWWORD(df, 2); \
+ uInt sourlo=DFWWORD(df, 3); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>4); \
+ dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
+ dpd2bcd8(bcd+7, sourmh>>16); \
+ dpd2bcd8(bcd+10, sourmh>>6); \
+ dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
+ dpd2bcd8(bcd+16, sourml>>18); \
+ dpd2bcd8(bcd+19, sourml>>8); \
+ dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+25, sourlo>>20); \
+ dpd2bcd8(bcd+28, sourlo>>10); \
+ dpd2bcd83(bcd+31, sourlo);}
+
+ #elif DECPMAX==34
+ #define GETCOEFF(df, bcd) { \
+ uInt sourhi=DFWORD(df, 0); \
+ uInt sourmh=DFWORD(df, 1); \
+ uInt sourml=DFWORD(df, 2); \
+ uInt sourlo=DFWORD(df, 3); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>4); \
+ dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
+ dpd2bcd8(bcd+7, sourmh>>16); \
+ dpd2bcd8(bcd+10, sourmh>>6); \
+ dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
+ dpd2bcd8(bcd+16, sourml>>18); \
+ dpd2bcd8(bcd+19, sourml>>8); \
+ dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+25, sourlo>>20); \
+ dpd2bcd8(bcd+28, sourlo>>10); \
+ dpd2bcd83(bcd+31, sourlo);}
+
+ #define GETWCOEFF(df, bcd) {??} /* [should never be used] */
+ #endif
+
+ /* Macros to decode the coefficient in a finite decFloat *df into */
+ /* a base-billion uInt array, with the least-significant */
+ /* 0-999999999 'digit' at offset 0. */
+
+ /* Decode the declets. After extracting each one, it is decoded */
+ /* to binary using a table lookup. Three tables are used; one */
+ /* the usual DPD to binary, the other two pre-multiplied by 1000 */
+ /* and 1000000 to avoid multiplication during decode. These */
+ /* tables can also be used for multiplying up the MSD as the DPD */
+ /* code for 0 through 9 is the identity. */
+ #define DPD2BIN0 DPD2BIN /* for prettier code */
+
+ #if DECPMAX==7
+ #define GETCOEFFBILL(df, buf) { \
+ uInt sourhi=DFWORD(df, 0); \
+ (buf)[0]=DPD2BIN0[sourhi&0x3ff] \
+ +DPD2BINK[(sourhi>>10)&0x3ff] \
+ +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
+
+ #elif DECPMAX==16
+ #define GETCOEFFBILL(df, buf) { \
+ uInt sourhi, sourlo; \
+ sourlo=DFWORD(df, 1); \
+ (buf)[0]=DPD2BIN0[sourlo&0x3ff] \
+ +DPD2BINK[(sourlo>>10)&0x3ff] \
+ +DPD2BINM[(sourlo>>20)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff] \
+ +DPD2BINK[(sourhi>>8)&0x3ff] \
+ +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
+
+ #elif DECPMAX==34
+ #define GETCOEFFBILL(df, buf) { \
+ uInt sourhi, sourmh, sourml, sourlo; \
+ sourlo=DFWORD(df, 3); \
+ (buf)[0]=DPD2BIN0[sourlo&0x3ff] \
+ +DPD2BINK[(sourlo>>10)&0x3ff] \
+ +DPD2BINM[(sourlo>>20)&0x3ff]; \
+ sourml=DFWORD(df, 2); \
+ (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff] \
+ +DPD2BINK[(sourml>>8)&0x3ff] \
+ +DPD2BINM[(sourml>>18)&0x3ff]; \
+ sourmh=DFWORD(df, 1); \
+ (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff] \
+ +DPD2BINK[(sourmh>>6)&0x3ff] \
+ +DPD2BINM[(sourmh>>16)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff] \
+ +DPD2BINK[(sourhi>>4)&0x3ff] \
+ +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
+
+ #endif
+
+ /* Macros to decode the coefficient in a finite decFloat *df into */
+ /* a base-thousand uInt array (of size DECLETS+1, to allow for */
+ /* the MSD), with the least-significant 0-999 'digit' at offset 0.*/
+
+ /* Decode the declets. After extracting each one, it is decoded */
+ /* to binary using a table lookup. */
+ #if DECPMAX==7
+ #define GETCOEFFTHOU(df, buf) { \
+ uInt sourhi=DFWORD(df, 0); \
+ (buf)[0]=DPD2BIN[sourhi&0x3ff]; \
+ (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff]; \
+ (buf)[2]=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==16
+ #define GETCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourlo; \
+ sourlo=DFWORD(df, 1); \
+ (buf)[0]=DPD2BIN[sourlo&0x3ff]; \
+ (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \
+ (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff]; \
+ (buf)[5]=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==34
+ #define GETCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourmh, sourml, sourlo; \
+ sourlo=DFWORD(df, 3); \
+ (buf)[0]=DPD2BIN[sourlo&0x3ff]; \
+ (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ sourml=DFWORD(df, 2); \
+ (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \
+ (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff]; \
+ (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff]; \
+ sourmh=DFWORD(df, 1); \
+ (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \
+ (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff]; \
+ (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \
+ (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff]; \
+ (buf)[11]=DECCOMBMSD[sourhi>>26];}
+ #endif
+
+
+ /* Macros to decode the coefficient in a finite decFloat *df and */
+ /* add to a base-thousand uInt array (as for GETCOEFFTHOU). */
+ /* After the addition then most significant 'digit' in the array */
+ /* might have a value larger then 10 (with a maximum of 19). */
+ #if DECPMAX==7
+ #define ADDCOEFFTHOU(df, buf) { \
+ uInt sourhi=DFWORD(df, 0); \
+ (buf)[0]+=DPD2BIN[sourhi&0x3ff]; \
+ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
+ (buf)[1]+=DPD2BIN[(sourhi>>10)&0x3ff]; \
+ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
+ (buf)[2]+=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==16
+ #define ADDCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourlo; \
+ sourlo=DFWORD(df, 1); \
+ (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \
+ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
+ (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
+ (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \
+ sourhi=DFWORD(df, 0); \
+ (buf)[3]+=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \
+ if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \
+ (buf)[4]+=DPD2BIN[(sourhi>>8)&0x3ff]; \
+ if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \
+ (buf)[5]+=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==34
+ #define ADDCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourmh, sourml, sourlo; \
+ sourlo=DFWORD(df, 3); \
+ (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \
+ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
+ (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
+ (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \
+ sourml=DFWORD(df, 2); \
+ (buf)[3]+=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \
+ if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \
+ (buf)[4]+=DPD2BIN[(sourml>>8)&0x3ff]; \
+ if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \
+ (buf)[5]+=DPD2BIN[(sourml>>18)&0x3ff]; \
+ if (buf[5]>999) {buf[5]-=1000; buf[6]++;} \
+ sourmh=DFWORD(df, 1); \
+ (buf)[6]+=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \
+ if (buf[6]>999) {buf[6]-=1000; buf[7]++;} \
+ (buf)[7]+=DPD2BIN[(sourmh>>6)&0x3ff]; \
+ if (buf[7]>999) {buf[7]-=1000; buf[8]++;} \
+ (buf)[8]+=DPD2BIN[(sourmh>>16)&0x3ff]; \
+ if (buf[8]>999) {buf[8]-=1000; buf[9]++;} \
+ sourhi=DFWORD(df, 0); \
+ (buf)[9]+=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \
+ if (buf[9]>999) {buf[9]-=1000; buf[10]++;} \
+ (buf)[10]+=DPD2BIN[(sourhi>>4)&0x3ff]; \
+ if (buf[10]>999) {buf[10]-=1000; buf[11]++;} \
+ (buf)[11]+=DECCOMBMSD[sourhi>>26];}
+ #endif
+
+
+ /* Set a decFloat to the maximum positive finite number (Nmax) */
+ #if DECPMAX==7
+ #define DFSETNMAX(df) \
+ {DFWORD(df, 0)=0x77f3fcff;}
+ #elif DECPMAX==16
+ #define DFSETNMAX(df) \
+ {DFWORD(df, 0)=0x77fcff3f; \
+ DFWORD(df, 1)=0xcff3fcff;}
+ #elif DECPMAX==34
+ #define DFSETNMAX(df) \
+ {DFWORD(df, 0)=0x77ffcff3; \
+ DFWORD(df, 1)=0xfcff3fcf; \
+ DFWORD(df, 2)=0xf3fcff3f; \
+ DFWORD(df, 3)=0xcff3fcff;}
+ #endif
+
+ /* [end of format-dependent macros and constants] */
+ #endif
+
+#else
+ #error decNumberLocal included more than once
+#endif
diff -Naur a/src/decNumber/decPacked.c b/src/decNumber/decPacked.c
--- a/src/decNumber/decPacked.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decPacked.c 2021-09-29 10:19:45.803827654 -0700
@@ -0,0 +1,220 @@
+/* ------------------------------------------------------------------ */
+/* Packed Decimal conversion module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2002. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for Packed Decimal format */
+/* numbers. Conversions are supplied to and from decNumber, which in */
+/* turn supports: */
+/* conversions to and from string */
+/* arithmetic routines */
+/* utilities. */
+/* Conversions from decNumber to and from densely packed decimal */
+/* formats are provided by the decimal32 through decimal128 modules. */
+/* ------------------------------------------------------------------ */
+
+#include <string.h> // for NULL
+#include "decNumber.h" // base number library
+#include "decPacked.h" // packed decimal
+#include "decNumberLocal.h" // decNumber local types, etc.
+
+/* ------------------------------------------------------------------ */
+/* decPackedFromNumber -- convert decNumber to BCD Packed Decimal */
+/* */
+/* bcd is the BCD bytes */
+/* length is the length of the BCD array */
+/* scale is the scale result */
+/* dn is the decNumber */
+/* returns bcd, or NULL if error */
+/* */
+/* The number is converted to a BCD packed decimal byte array, */
+/* right aligned in the bcd array, whose length is indicated by the */
+/* second parameter. The final 4-bit nibble in the array will be a */
+/* sign nibble, C (1100) for + and D (1101) for -. Unused bytes and */
+/* nibbles to the left of the number are set to 0. */
+/* */
+/* scale is set to the scale of the number (this is the exponent, */
+/* negated). To force the number to a specified scale, first use the */
+/* decNumberRescale routine, which will round and change the exponent */
+/* as necessary. */
+/* */
+/* If there is an error (that is, the decNumber has too many digits */
+/* to fit in length bytes, or it is a NaN or Infinity), NULL is */
+/* returned and the bcd and scale results are unchanged. Otherwise */
+/* bcd is returned. */
+/* ------------------------------------------------------------------ */
+uByte * decPackedFromNumber(uByte *bcd, Int length, Int *scale,
+ const decNumber *dn) {
+ const Unit *up=dn->lsu; // Unit array pointer
+ uByte obyte, *out; // current output byte, and where it goes
+ Int indigs=dn->digits; // digits processed
+ uInt cut=DECDPUN; // downcounter per Unit
+ uInt u=*up; // work
+ uInt nib; // ..
+ #if DECDPUN<=4
+ uInt temp; // ..
+ #endif
+
+ if (dn->digits>length*2-1 // too long ..
+ ||(dn->bits & DECSPECIAL)) return NULL; // .. or special -- hopeless
+
+ if (dn->bits&DECNEG) obyte=DECPMINUS; // set the sign ..
+ else obyte=DECPPLUS;
+ *scale=-dn->exponent; // .. and scale
+
+ // loop from lowest (rightmost) byte
+ out=bcd+length-1; // -> final byte
+ for (; out>=bcd; out--) {
+ if (indigs>0) {
+ if (cut==0) {
+ up++;
+ u=*up;
+ cut=DECDPUN;
+ }
+ #if DECDPUN<=4
+ temp=(u*6554)>>16; // fast /10
+ nib=u-X10(temp);
+ u=temp;
+ #else
+ nib=u%10; // cannot use *6554 trick :-(
+ u=u/10;
+ #endif
+ obyte|=(nib<<4);
+ indigs--;
+ cut--;
+ }
+ *out=obyte;
+ obyte=0; // assume 0
+ if (indigs>0) {
+ if (cut==0) {
+ up++;
+ u=*up;
+ cut=DECDPUN;
+ }
+ #if DECDPUN<=4
+ temp=(u*6554)>>16; // as above
+ obyte=(uByte)(u-X10(temp));
+ u=temp;
+ #else
+ obyte=(uByte)(u%10);
+ u=u/10;
+ #endif
+ indigs--;
+ cut--;
+ }
+ } // loop
+
+ return bcd;
+ } // decPackedFromNumber
+
+/* ------------------------------------------------------------------ */
+/* decPackedToNumber -- convert BCD Packed Decimal to a decNumber */
+/* */
+/* bcd is the BCD bytes */
+/* length is the length of the BCD array */
+/* scale is the scale associated with the BCD integer */
+/* dn is the decNumber [with space for length*2 digits] */
+/* returns dn, or NULL if error */
+/* */
+/* The BCD packed decimal byte array, together with an associated */
+/* scale, is converted to a decNumber. The BCD array is assumed full */
+/* of digits, and must be ended by a 4-bit sign nibble in the least */
+/* significant four bits of the final byte. */
+/* */
+/* The scale is used (negated) as the exponent of the decNumber. */
+/* Note that zeros may have a sign and/or a scale. */
+/* */
+/* The decNumber structure is assumed to have sufficient space to */
+/* hold the converted number (that is, up to length*2-1 digits), so */
+/* no error is possible unless the adjusted exponent is out of range, */
+/* no sign nibble was found, or a sign nibble was found before the */
+/* final nibble. In these error cases, NULL is returned and the */
+/* decNumber will be 0. */
+/* ------------------------------------------------------------------ */
+decNumber * decPackedToNumber(const uByte *bcd, Int length,
+ const Int *scale, decNumber *dn) {
+ const uByte *last=bcd+length-1; // -> last byte
+ const uByte *first; // -> first non-zero byte
+ uInt nib; // work nibble
+ Unit *up=dn->lsu; // output pointer
+ Int digits; // digits count
+ Int cut=0; // phase of output
+
+ decNumberZero(dn); // default result
+ last=&bcd[length-1];
+ nib=*last & 0x0f; // get the sign
+ if (nib==DECPMINUS || nib==DECPMINUSALT) dn->bits=DECNEG;
+ else if (nib<=9) return NULL; // not a sign nibble
+
+ // skip leading zero bytes [final byte is always non-zero, due to sign]
+ for (first=bcd; *first==0;) first++;
+ digits=(last-first)*2+1; // calculate digits ..
+ if ((*first & 0xf0)==0) digits--; // adjust for leading zero nibble
+ if (digits!=0) dn->digits=digits; // count of actual digits [if 0,
+ // leave as 1]
+
+ // check the adjusted exponent; note that scale could be unbounded
+ dn->exponent=-*scale; // set the exponent
+ if (*scale>=0) { // usual case
+ if ((dn->digits-*scale-1)<-DECNUMMAXE) { // underflow
+ decNumberZero(dn);
+ return NULL;}
+ }
+ else { // -ve scale; +ve exponent
+ // need to be careful to avoid wrap, here, also BADINT case
+ if ((*scale<-DECNUMMAXE) // overflow even without digits
+ || ((dn->digits-*scale-1)>DECNUMMAXE)) { // overflow
+ decNumberZero(dn);
+ return NULL;}
+ }
+ if (digits==0) return dn; // result was zero
+
+ // copy the digits to the number's units, starting at the lsu
+ // [unrolled]
+ for (;;) { // forever
+ // left nibble first
+ nib=(unsigned)(*last & 0xf0)>>4;
+ // got a digit, in nib
+ if (nib>9) {decNumberZero(dn); return NULL;}
+
+ if (cut==0) *up=(Unit)nib;
+ else *up=(Unit)(*up+nib*DECPOWERS[cut]);
+ digits--;
+ if (digits==0) break; // got them all
+ cut++;
+ if (cut==DECDPUN) {
+ up++;
+ cut=0;
+ }
+ last--; // ready for next
+ nib=*last & 0x0f; // get right nibble
+ if (nib>9) {decNumberZero(dn); return NULL;}
+
+ // got a digit, in nib
+ if (cut==0) *up=(Unit)nib;
+ else *up=(Unit)(*up+nib*DECPOWERS[cut]);
+ digits--;
+ if (digits==0) break; // got them all
+ cut++;
+ if (cut==DECDPUN) {
+ up++;
+ cut=0;
+ }
+ } // forever
+
+ return dn;
+ } // decPackedToNumber
+
diff -Naur a/src/decNumber/decPacked.h b/src/decNumber/decPacked.h
--- a/src/decNumber/decPacked.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decPacked.h 2021-09-29 10:19:45.803827654 -0700
@@ -0,0 +1,52 @@
+/* ------------------------------------------------------------------ */
+/* Packed Decimal conversion module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECPACKED)
+ #define DECPACKED
+ #define DECPNAME "decPacked" /* Short name */
+ #define DECPFULLNAME "Packed Decimal conversions" /* Verbose name */
+ #define DECPAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ #define DECPACKED_DefP 32 /* default precision */
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECPACKED_DefP /* size if not already defined*/
+ #endif
+ #include "decNumber.h" /* context and number library */
+
+ /* Sign nibble constants */
+ #if !defined(DECPPLUSALT)
+ #define DECPPLUSALT 0x0A /* alternate plus nibble */
+ #define DECPMINUSALT 0x0B /* alternate minus nibble */
+ #define DECPPLUS 0x0C /* preferred plus nibble */
+ #define DECPMINUS 0x0D /* preferred minus nibble */
+ #define DECPPLUSALT2 0x0E /* alternate plus nibble */
+ #define DECPUNSIGNED 0x0F /* alternate plus nibble (unsigned) */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* decPacked public routines */
+ /* ---------------------------------------------------------------- */
+ /* Conversions */
+ uint8_t * decPackedFromNumber(uint8_t *, int32_t, int32_t *,
+ const decNumber *);
+ decNumber * decPackedToNumber(const uint8_t *, int32_t, const int32_t *,
+ decNumber *);
+
+#endif
diff -Naur a/src/decNumber/decQuad.c b/src/decNumber/decQuad.c
--- a/src/decNumber/decQuad.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decQuad.c 2021-09-29 10:19:45.803827654 -0700
@@ -0,0 +1,135 @@
+/* ------------------------------------------------------------------ */
+/* decQuad.c -- decQuad operations module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises decQuad operations (including conversions) */
+/* ------------------------------------------------------------------ */
+
+
+/* Constant mappings for shared code */
+#define DECPMAX DECQUAD_Pmax
+#define DECEMIN DECQUAD_Emin
+#define DECEMAX DECQUAD_Emax
+#define DECEMAXD DECQUAD_EmaxD
+#define DECBYTES DECQUAD_Bytes
+#define DECSTRING DECQUAD_String
+#define DECECONL DECQUAD_EconL
+#define DECBIAS DECQUAD_Bias
+#define DECLETS DECQUAD_Declets
+#define DECQTINY (-DECQUAD_Bias)
+
+/* Type and function mappings for shared code */
+#define decFloat decQuad // Type name
+
+// Utilities and conversions (binary results, extractors, etc.)
+#define decFloatFromBCD decQuadFromBCD
+#define decFloatFromInt32 decQuadFromInt32
+#define decFloatFromPacked decQuadFromPacked
+#define decFloatFromPackedChecked decQuadFromPackedChecked
+#define decFloatFromString decQuadFromString
+#define decFloatFromUInt32 decQuadFromUInt32
+#define decFloatFromWider decQuadFromWider
+#define decFloatGetCoefficient decQuadGetCoefficient
+#define decFloatGetExponent decQuadGetExponent
+#define decFloatSetCoefficient decQuadSetCoefficient
+#define decFloatSetExponent decQuadSetExponent
+#define decFloatShow decQuadShow
+#define decFloatToBCD decQuadToBCD
+#define decFloatToEngString decQuadToEngString
+#define decFloatToInt32 decQuadToInt32
+#define decFloatToInt32Exact decQuadToInt32Exact
+#define decFloatToPacked decQuadToPacked
+#define decFloatToString decQuadToString
+#define decFloatToUInt32 decQuadToUInt32
+#define decFloatToUInt32Exact decQuadToUInt32Exact
+#define decFloatToWider decQuadToWider
+#define decFloatZero decQuadZero
+
+// Computational (result is a decFloat)
+#define decFloatAbs decQuadAbs
+#define decFloatAdd decQuadAdd
+#define decFloatAnd decQuadAnd
+#define decFloatDivide decQuadDivide
+#define decFloatDivideInteger decQuadDivideInteger
+#define decFloatFMA decQuadFMA
+#define decFloatInvert decQuadInvert
+#define decFloatLogB decQuadLogB
+#define decFloatMax decQuadMax
+#define decFloatMaxMag decQuadMaxMag
+#define decFloatMin decQuadMin
+#define decFloatMinMag decQuadMinMag
+#define decFloatMinus decQuadMinus
+#define decFloatMultiply decQuadMultiply
+#define decFloatNextMinus decQuadNextMinus
+#define decFloatNextPlus decQuadNextPlus
+#define decFloatNextToward decQuadNextToward
+#define decFloatOr decQuadOr
+#define decFloatPlus decQuadPlus
+#define decFloatQuantize decQuadQuantize
+#define decFloatReduce decQuadReduce
+#define decFloatRemainder decQuadRemainder
+#define decFloatRemainderNear decQuadRemainderNear
+#define decFloatRotate decQuadRotate
+#define decFloatScaleB decQuadScaleB
+#define decFloatShift decQuadShift
+#define decFloatSubtract decQuadSubtract
+#define decFloatToIntegralValue decQuadToIntegralValue
+#define decFloatToIntegralExact decQuadToIntegralExact
+#define decFloatXor decQuadXor
+
+// Comparisons
+#define decFloatCompare decQuadCompare
+#define decFloatCompareSignal decQuadCompareSignal
+#define decFloatCompareTotal decQuadCompareTotal
+#define decFloatCompareTotalMag decQuadCompareTotalMag
+
+// Copies
+#define decFloatCanonical decQuadCanonical
+#define decFloatCopy decQuadCopy
+#define decFloatCopyAbs decQuadCopyAbs
+#define decFloatCopyNegate decQuadCopyNegate
+#define decFloatCopySign decQuadCopySign
+
+// Non-computational
+#define decFloatClass decQuadClass
+#define decFloatClassString decQuadClassString
+#define decFloatDigits decQuadDigits
+#define decFloatIsCanonical decQuadIsCanonical
+#define decFloatIsFinite decQuadIsFinite
+#define decFloatIsInfinite decQuadIsInfinite
+#define decFloatIsInteger decQuadIsInteger
+#define decFloatIsLogical decQuadIsLogical
+#define decFloatIsNaN decQuadIsNaN
+#define decFloatIsNegative decQuadIsNegative
+#define decFloatIsNormal decQuadIsNormal
+#define decFloatIsPositive decQuadIsPositive
+#define decFloatIsSignaling decQuadIsSignaling
+#define decFloatIsSignalling decQuadIsSignalling
+#define decFloatIsSigned decQuadIsSigned
+#define decFloatIsSubnormal decQuadIsSubnormal
+#define decFloatIsZero decQuadIsZero
+#define decFloatRadix decQuadRadix
+#define decFloatSameQuantum decQuadSameQuantum
+#define decFloatVersion decQuadVersion
+
+/* And now the code itself */
+#include "decContext.h" // public includes
+#include "decQuad.h" // ..
+#include "decNumberLocal.h" // local includes (need DECPMAX)
+#include "decCommon.c" // non-arithmetic decFloat routines
+#include "decBasic.c" // basic formats routines
+
diff -Naur a/src/decNumber/decQuad.h b/src/decNumber/decQuad.h
--- a/src/decNumber/decQuad.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decQuad.h 2021-09-29 10:19:45.804827660 -0700
@@ -0,0 +1,177 @@
+/* ------------------------------------------------------------------ */
+/* decQuad.h -- Decimal 128-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This include file is always included by decSingle and decDouble, */
+/* and therefore also holds useful constants used by all three. */
+
+#if !defined(DECQUAD)
+ #define DECQUAD
+
+ #define DECQUADNAME "decimalQuad" /* Short name */
+ #define DECQUADTITLE "Decimal 128-bit datum" /* Verbose name */
+ #define DECQUADAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decQuads */
+ #define DECQUAD_Bytes 16 /* length */
+ #define DECQUAD_Pmax 34 /* maximum precision (digits) */
+ #define DECQUAD_Emin -6143 /* minimum adjusted exponent */
+ #define DECQUAD_Emax 6144 /* maximum adjusted exponent */
+ #define DECQUAD_EmaxD 4 /* maximum exponent digits */
+ #define DECQUAD_Bias 6176 /* bias for the exponent */
+ #define DECQUAD_String 43 /* maximum string length, +1 */
+ #define DECQUAD_EconL 12 /* exponent continuation length */
+ #define DECQUAD_Declets 11 /* count of declets */
+ /* highest biased exponent (Elimit-1) */
+ #define DECQUAD_Ehigh (DECQUAD_Emax + DECQUAD_Bias - (DECQUAD_Pmax-1))
+
+ /* Required include */
+ #include "decContext.h"
+
+ /* The decQuad decimal 128-bit type, accessible by all sizes */
+ typedef union {
+ uint8_t bytes[DECQUAD_Bytes]; /* fields: 1, 5, 12, 110 bits */
+ uint16_t shorts[DECQUAD_Bytes/2];
+ uint32_t words[DECQUAD_Bytes/4];
+ #if DECUSE64
+ uint64_t longs[DECQUAD_Bytes/8];
+ #endif
+ } decQuad;
+
+ /* ---------------------------------------------------------------- */
+ /* Shared constants */
+ /* ---------------------------------------------------------------- */
+
+ /* sign and special values [top 32-bits; last two bits are don't-care
+ for Infinity on input, last bit don't-care for NaNs] */
+ #define DECFLOAT_Sign 0x80000000 /* 1 00000 00 Sign */
+ #define DECFLOAT_NaN 0x7c000000 /* 0 11111 00 NaN generic */
+ #define DECFLOAT_qNaN 0x7c000000 /* 0 11111 00 qNaN */
+ #define DECFLOAT_sNaN 0x7e000000 /* 0 11111 10 sNaN */
+ #define DECFLOAT_Inf 0x78000000 /* 0 11110 00 Infinity */
+ #define DECFLOAT_MinSp 0x78000000 /* minimum special value */
+ /* [specials are all >=MinSp] */
+ /* Sign nibble constants */
+ #if !defined(DECPPLUSALT)
+ #define DECPPLUSALT 0x0A /* alternate plus nibble */
+ #define DECPMINUSALT 0x0B /* alternate minus nibble */
+ #define DECPPLUS 0x0C /* preferred plus nibble */
+ #define DECPMINUS 0x0D /* preferred minus nibble */
+ #define DECPPLUSALT2 0x0E /* alternate plus nibble */
+ #define DECPUNSIGNED 0x0F /* alternate plus nibble (unsigned) */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines -- implemented as decFloat routines in common files */
+ /* ---------------------------------------------------------------- */
+
+ /* Utilities and conversions, extractors, etc.) */
+ extern decQuad * decQuadFromBCD(decQuad *, int32_t, const uint8_t *, int32_t);
+ extern decQuad * decQuadFromInt32(decQuad *, int32_t);
+ extern decQuad * decQuadFromPacked(decQuad *, int32_t, const uint8_t *);
+ extern decQuad * decQuadFromPackedChecked(decQuad *, int32_t, const uint8_t *);
+ extern decQuad * decQuadFromString(decQuad *, const char *, decContext *);
+ extern decQuad * decQuadFromUInt32(decQuad *, uint32_t);
+ extern int32_t decQuadGetCoefficient(const decQuad *, uint8_t *);
+ extern int32_t decQuadGetExponent(const decQuad *);
+ extern decQuad * decQuadSetCoefficient(decQuad *, const uint8_t *, int32_t);
+ extern decQuad * decQuadSetExponent(decQuad *, decContext *, int32_t);
+ extern void decQuadShow(const decQuad *, const char *);
+ extern int32_t decQuadToBCD(const decQuad *, int32_t *, uint8_t *);
+ extern char * decQuadToEngString(const decQuad *, char *);
+ extern int32_t decQuadToInt32(const decQuad *, decContext *, enum rounding);
+ extern int32_t decQuadToInt32Exact(const decQuad *, decContext *, enum rounding);
+ extern int32_t decQuadToPacked(const decQuad *, int32_t *, uint8_t *);
+ extern char * decQuadToString(const decQuad *, char *);
+ extern uint32_t decQuadToUInt32(const decQuad *, decContext *, enum rounding);
+ extern uint32_t decQuadToUInt32Exact(const decQuad *, decContext *, enum rounding);
+ extern decQuad * decQuadZero(decQuad *);
+
+ /* Computational (result is a decQuad) */
+ extern decQuad * decQuadAbs(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadAdd(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadAnd(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadDivide(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadDivideInteger(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadFMA(decQuad *, const decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadInvert(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadLogB(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMax(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMaxMag(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMin(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMinMag(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMinus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMultiply(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadNextMinus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadNextPlus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadNextToward(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadOr(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadPlus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadQuantize(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadReduce(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadRemainder(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadRemainderNear(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadRotate(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadScaleB(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadShift(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadSubtract(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadToIntegralValue(decQuad *, const decQuad *, decContext *, enum rounding);
+ extern decQuad * decQuadToIntegralExact(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadXor(decQuad *, const decQuad *, const decQuad *, decContext *);
+
+ /* Comparisons */
+ extern decQuad * decQuadCompare(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadCompareSignal(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadCompareTotal(decQuad *, const decQuad *, const decQuad *);
+ extern decQuad * decQuadCompareTotalMag(decQuad *, const decQuad *, const decQuad *);
+
+ /* Copies */
+ extern decQuad * decQuadCanonical(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopy(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopyAbs(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopyNegate(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopySign(decQuad *, const decQuad *, const decQuad *);
+
+ /* Non-computational */
+ extern enum decClass decQuadClass(const decQuad *);
+ extern const char * decQuadClassString(const decQuad *);
+ extern uint32_t decQuadDigits(const decQuad *);
+ extern uint32_t decQuadIsCanonical(const decQuad *);
+ extern uint32_t decQuadIsFinite(const decQuad *);
+ extern uint32_t decQuadIsInteger(const decQuad *);
+ extern uint32_t decQuadIsLogical(const decQuad *);
+ extern uint32_t decQuadIsInfinite(const decQuad *);
+ extern uint32_t decQuadIsNaN(const decQuad *);
+ extern uint32_t decQuadIsNegative(const decQuad *);
+ extern uint32_t decQuadIsNormal(const decQuad *);
+ extern uint32_t decQuadIsPositive(const decQuad *);
+ extern uint32_t decQuadIsSignaling(const decQuad *);
+ extern uint32_t decQuadIsSignalling(const decQuad *);
+ extern uint32_t decQuadIsSigned(const decQuad *);
+ extern uint32_t decQuadIsSubnormal(const decQuad *);
+ extern uint32_t decQuadIsZero(const decQuad *);
+ extern uint32_t decQuadRadix(const decQuad *);
+ extern uint32_t decQuadSameQuantum(const decQuad *, const decQuad *);
+ extern const char * decQuadVersion(void);
+
+ /* decNumber conversions; these are implemented as macros so as not */
+ /* to force a dependency on decimal128 and decNumber in decQuad. */
+ /* decQuadFromNumber returns a decimal128 * to avoid warnings. */
+ #define decQuadToNumber(dq, dn) decimal128ToNumber((decimal128 *)(dq), dn)
+ #define decQuadFromNumber(dq, dn, set) decimal128FromNumber((decimal128 *)(dq), dn, set)
+
+#endif
diff -Naur a/src/decNumber/decSingle.c b/src/decNumber/decSingle.c
--- a/src/decNumber/decSingle.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decSingle.c 2021-09-29 10:19:45.804827660 -0700
@@ -0,0 +1,71 @@
+/* ------------------------------------------------------------------ */
+/* decSingle.c -- decSingle operations module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises decSingle operations (including conversions) */
+/* ------------------------------------------------------------------ */
+
+#include "decContext.h" // public includes
+#include "decSingle.h" // public includes
+
+/* Constant mappings for shared code */
+#define DECPMAX DECSINGLE_Pmax
+#define DECEMIN DECSINGLE_Emin
+#define DECEMAX DECSINGLE_Emax
+#define DECEMAXD DECSINGLE_EmaxD
+#define DECBYTES DECSINGLE_Bytes
+#define DECSTRING DECSINGLE_String
+#define DECECONL DECSINGLE_EconL
+#define DECBIAS DECSINGLE_Bias
+#define DECLETS DECSINGLE_Declets
+#define DECQTINY (-DECSINGLE_Bias)
+// parameters of next-wider format
+#define DECWBYTES DECDOUBLE_Bytes
+#define DECWPMAX DECDOUBLE_Pmax
+#define DECWECONL DECDOUBLE_EconL
+#define DECWBIAS DECDOUBLE_Bias
+
+/* Type and function mappings for shared code */
+#define decFloat decSingle // Type name
+#define decFloatWider decDouble // Type name
+
+// Utility (binary results, extractors, etc.)
+#define decFloatFromBCD decSingleFromBCD
+#define decFloatFromPacked decSingleFromPacked
+#define decFloatFromPackedChecked decSingleFromPackedChecked
+#define decFloatFromString decSingleFromString
+#define decFloatFromWider decSingleFromWider
+#define decFloatGetCoefficient decSingleGetCoefficient
+#define decFloatGetExponent decSingleGetExponent
+#define decFloatSetCoefficient decSingleSetCoefficient
+#define decFloatSetExponent decSingleSetExponent
+#define decFloatShow decSingleShow
+#define decFloatToBCD decSingleToBCD
+#define decFloatToEngString decSingleToEngString
+#define decFloatToPacked decSingleToPacked
+#define decFloatToString decSingleToString
+#define decFloatToWider decSingleToWider
+#define decFloatZero decSingleZero
+
+// Non-computational
+#define decFloatRadix decSingleRadix
+#define decFloatVersion decSingleVersion
+
+#include "decNumberLocal.h" // local includes (need DECPMAX)
+#include "decCommon.c" // non-basic decFloat routines
+// [Do not include decBasic.c for decimal32]
+
diff -Naur a/src/decNumber/decSingle.h b/src/decNumber/decSingle.h
--- a/src/decNumber/decSingle.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/decSingle.h 2021-09-29 10:19:45.804827660 -0700
@@ -0,0 +1,86 @@
+/* ------------------------------------------------------------------ */
+/* decSingle.h -- Decimal 32-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECSINGLE)
+ #define DECSINGLE
+
+ #define DECSINGLENAME "decSingle" /* Short name */
+ #define DECSINGLETITLE "Decimal 32-bit datum" /* Verbose name */
+ #define DECSINGLEAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decSingles */
+ #define DECSINGLE_Bytes 4 /* length */
+ #define DECSINGLE_Pmax 7 /* maximum precision (digits) */
+ #define DECSINGLE_Emin -95 /* minimum adjusted exponent */
+ #define DECSINGLE_Emax 96 /* maximum adjusted exponent */
+ #define DECSINGLE_EmaxD 3 /* maximum exponent digits */
+ #define DECSINGLE_Bias 101 /* bias for the exponent */
+ #define DECSINGLE_String 16 /* maximum string length, +1 */
+ #define DECSINGLE_EconL 6 /* exponent continuation length */
+ #define DECSINGLE_Declets 2 /* count of declets */
+ /* highest biased exponent (Elimit-1) */
+ #define DECSINGLE_Ehigh (DECSINGLE_Emax + DECSINGLE_Bias - (DECSINGLE_Pmax-1))
+
+ /* Required includes */
+ #include "decContext.h"
+ #include "decQuad.h"
+ #include "decDouble.h"
+
+ /* The decSingle decimal 32-bit type, accessible by all sizes */
+ typedef union {
+ uint8_t bytes[DECSINGLE_Bytes]; /* fields: 1, 5, 6, 20 bits */
+ uint16_t shorts[DECSINGLE_Bytes/2];
+ uint32_t words[DECSINGLE_Bytes/4];
+ } decSingle;
+
+ /* ---------------------------------------------------------------- */
+ /* Routines -- implemented as decFloat routines in common files */
+ /* ---------------------------------------------------------------- */
+
+ /* Utilities (binary argument(s) or result, extractors, etc.) */
+ extern decSingle * decSingleFromBCD(decSingle *, int32_t, const uint8_t *, int32_t);
+ extern decSingle * decSingleFromPacked(decSingle *, int32_t, const uint8_t *);
+ extern decSingle * decSingleFromPackedChecked(decSingle *, int32_t, const uint8_t *);
+ extern decSingle * decSingleFromString(decSingle *, const char *, decContext *);
+ extern decSingle * decSingleFromWider(decSingle *, const decDouble *, decContext *);
+ extern int32_t decSingleGetCoefficient(const decSingle *, uint8_t *);
+ extern int32_t decSingleGetExponent(const decSingle *);
+ extern decSingle * decSingleSetCoefficient(decSingle *, const uint8_t *, int32_t);
+ extern decSingle * decSingleSetExponent(decSingle *, decContext *, int32_t);
+ extern void decSingleShow(const decSingle *, const char *);
+ extern int32_t decSingleToBCD(const decSingle *, int32_t *, uint8_t *);
+ extern char * decSingleToEngString(const decSingle *, char *);
+ extern int32_t decSingleToPacked(const decSingle *, int32_t *, uint8_t *);
+ extern char * decSingleToString(const decSingle *, char *);
+ extern decDouble * decSingleToWider(const decSingle *, decDouble *);
+ extern decSingle * decSingleZero(decSingle *);
+
+ /* (No Arithmetic routines for decSingle) */
+
+ /* Non-computational */
+ extern uint32_t decSingleRadix(const decSingle *);
+ extern const char * decSingleVersion(void);
+
+ /* decNumber conversions; these are implemented as macros so as not */
+ /* to force a dependency on decimal32 and decNumber in decSingle. */
+ /* decSingleFromNumber returns a decimal32 * to avoid warnings. */
+ #define decSingleToNumber(dq, dn) decimal32ToNumber((decimal32 *)(dq), dn)
+ #define decSingleFromNumber(dq, dn, set) decimal32FromNumber((decimal32 *)(dq), dn, set)
+
+#endif
diff -Naur a/src/decNumber/example1.c b/src/decNumber/example1.c
--- a/src/decNumber/example1.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example1.c 2021-09-29 10:19:45.808827682 -0700
@@ -0,0 +1,38 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001, 2007. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example1.c -- convert the first two argument words to decNumber,
+// add them together, and display the result
+
+#define DECNUMDIGITS 34 // work with up to 34 digits
+#include "decNumber.h" // base number library
+#include <stdio.h> // for printf
+
+int main(int argc, char *argv[]) {
+ decNumber a, b; // working numbers
+ decContext set; // working context
+ char string[DECNUMDIGITS+14]; // conversion buffer
+
+ decContextTestEndian(0); // warn if DECLITEND is wrong
+
+ if (argc<3) { // not enough words
+ printf("Please supply two numbers to add.\n");
+ return 1;
+ }
+ decContextDefault(&set, DEC_INIT_BASE); // initialize
+ set.traps=0; // no traps, thank you
+ set.digits=DECNUMDIGITS; // set precision
+
+ decNumberFromString(&a, argv[1], &set);
+ decNumberFromString(&b, argv[2], &set);
+
+ decNumberAdd(&a, &a, &b, &set); // a=a+b
+ decNumberToString(&a, string);
+
+ printf("%s + %s => %s\n", argv[1], argv[2], string);
+ return 0;
+ } // main
diff -Naur a/src/decNumber/example2.c b/src/decNumber/example2.c
--- a/src/decNumber/example2.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example2.c 2021-09-29 10:19:45.808827682 -0700
@@ -0,0 +1,52 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example2.c -- calculate compound interest
+// Arguments are investment, rate (%), and years
+
+#define DECNUMDIGITS 38 // work with up to 38 digits
+#include "decNumber.h" // base number library
+#include <stdio.h> // for printf
+
+int main(int argc, char *argv[]) {
+ int need=3;
+ if (argc<need+1) { // not enough words
+ printf("Please supply %d number(s).\n", need);
+ return 1;
+ }
+
+ { // excerpt for User's Guide starts here--------------------------|
+ decNumber one, mtwo, hundred; // constants
+ decNumber start, rate, years; // parameters
+ decNumber total; // result
+ decContext set; // working context
+ char string[DECNUMDIGITS+14]; // conversion buffer
+
+ decContextDefault(&set, DEC_INIT_BASE); // initialize
+ set.traps=0; // no traps
+ set.digits=25; // precision 25
+ decNumberFromString(&one, "1", &set); // set constants
+ decNumberFromString(&mtwo, "-2", &set);
+ decNumberFromString(&hundred, "100", &set);
+
+ decNumberFromString(&start, argv[1], &set); // parameter words
+ decNumberFromString(&rate, argv[2], &set);
+ decNumberFromString(&years, argv[3], &set);
+
+ decNumberDivide(&rate, &rate, &hundred, &set); // rate=rate/100
+ decNumberAdd(&rate, &rate, &one, &set); // rate=rate+1
+ decNumberPower(&rate, &rate, &years, &set); // rate=rate^years
+ decNumberMultiply(&total, &rate, &start, &set); // total=rate*start
+ decNumberRescale(&total, &total, &mtwo, &set); // two digits please
+
+ decNumberToString(&total, string);
+ printf("%s at %s%% for %s years => %s\n",
+ argv[1], argv[2], argv[3], string);
+
+ } //---------------------------------------------------------------|
+ return 0;
+ } // main
diff -Naur a/src/decNumber/example3.c b/src/decNumber/example3.c
--- a/src/decNumber/example3.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example3.c 2021-09-29 10:19:45.808827682 -0700
@@ -0,0 +1,64 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example3.c -- calculate compound interest, passive checking
+// Arguments are investment, rate (%), and years
+
+#define DECNUMDIGITS 38 // work with up to 38 digits
+#include "decNumber.h" // base number library
+#include <stdio.h> // for printf
+
+int main(int argc, char *argv[]) {
+ int need=3;
+ if (argc<need+1) { // not enough words
+ printf("Please supply %d number(s).\n", need);
+ return 1;
+ }
+
+ { // start of Example 2 segment
+ decNumber one, mtwo, hundred; // constants
+ decNumber start, rate, years; // parameters
+ decNumber total; // result
+ decContext set; // working context
+ char string[DECNUMDIGITS+14]; // conversion buffer
+
+ decContextDefault(&set, DEC_INIT_BASE); // initialize
+ set.traps=0; // no traps
+ set.digits=25; // precision 25
+ decNumberFromString(&one, "1", &set); // set constants
+ decNumberFromString(&mtwo, "-2", &set);
+ decNumberFromString(&hundred, "100", &set);
+
+// [snip...
+ decNumberFromString(&start, argv[1], &set); // parameter words
+ decNumberFromString(&rate, argv[2], &set);
+ decNumberFromString(&years, argv[3], &set);
+ if (set.status & DEC_Errors) {
+ printf("An input argument word was invalid [%s]\n",
+ decContextStatusToString(&set));
+ return 1;
+ }
+ decNumberDivide(&rate, &rate, &hundred, &set); // rate=rate/100
+ decNumberAdd(&rate, &rate, &one, &set); // rate=rate+1
+ decNumberPower(&rate, &rate, &years, &set); // rate=rate^years
+ decNumberMultiply(&total, &rate, &start, &set); // total=rate*start
+ decNumberRescale(&total, &total, &mtwo, &set); // two digits please
+ if (set.status & DEC_Errors) {
+ set.status &= DEC_Errors; // keep only errors
+ printf("Result could not be calculated [%s]\n",
+ decContextStatusToString(&set));
+ return 1;
+ }
+// ...snip]
+
+ decNumberToString(&total, string);
+ printf("%s at %s%% for %s years => %s\n",
+ argv[1], argv[2], argv[3], string);
+
+ } //---------------------------------------------------------------|
+ return 0;
+ } // main
diff -Naur a/src/decNumber/example4.c b/src/decNumber/example4.c
--- a/src/decNumber/example4.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example4.c 2021-09-29 10:19:45.808827682 -0700
@@ -0,0 +1,61 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example4.c -- add two numbers, active error handling
+// Arguments are two numbers
+
+#define DECNUMDIGITS 38 // work with up to 38 digits
+#include "decNumber.h" // base number library
+#include <stdio.h> // for printf
+
+// [snip...
+#include <signal.h> // signal handling
+#include <setjmp.h> // setjmp/longjmp
+
+jmp_buf preserve; // stack snapshot
+
+void signalHandler(int); // prototype for GCC
+void signalHandler(int sig) {
+ signal(SIGFPE, signalHandler); // re-enable
+ longjmp(preserve, sig); // branch to preserved point
+ }
+// ...snip]
+int main(int argc, char *argv[]) {
+ decNumber a, b; // working numbers
+ decContext set; // working context
+ char string[DECNUMDIGITS+14]; // conversion buffer
+ int value; // work variable
+
+ if (argc<3) { // not enough words
+ printf("Please supply two numbers to add.\n");
+ return 1;
+ }
+ decContextDefault(&set, DEC_INIT_BASE); // initialize
+
+// [snip...
+ signal(SIGFPE, signalHandler); // set up signal handler
+ value=setjmp(preserve); // preserve and test environment
+ if (value) { // (non-0 after longjmp)
+ set.status &= DEC_Errors; // keep only errors
+ printf("Signal trapped [%s].\n", decContextStatusToString(&set));
+ return 1;
+ }
+// ...snip]
+
+// [change from Example 1, here]
+ // leave traps enabled
+ set.digits=DECNUMDIGITS; // set precision
+
+ decNumberFromString(&a, argv[1], &set);
+ decNumberFromString(&b, argv[2], &set);
+
+ decNumberAdd(&a, &a, &b, &set); // A=A+B
+ decNumberToString(&a, string);
+
+ printf("%s + %s => %s\n", argv[1], argv[2], string);
+ return 0;
+ } // main
diff -Naur a/src/decNumber/example5.c b/src/decNumber/example5.c
--- a/src/decNumber/example5.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example5.c 2021-09-29 10:19:45.809827688 -0700
@@ -0,0 +1,36 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001, 2007. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example5.c -- decimal64 conversions
+
+#include "decimal64.h" // decimal64 and decNumber library
+#include <stdio.h> // for (s)printf
+
+int main(int argc, char *argv[]) {
+ decimal64 a; // working decimal64 number
+ decNumber d; // working number
+ decContext set; // working context
+ char string[DECIMAL64_String]; // number->string buffer
+ char hexes[25]; // decimal64->hex buffer
+ int i; // counter
+
+ if (argc<2) { // not enough words
+ printf("Please supply a number.\n");
+ return 1;
+ }
+ decContextDefault(&set, DEC_INIT_DECIMAL64); // initialize
+
+ decimal64FromString(&a, argv[1], &set);
+ // lay out the decimal64 as eight hexadecimal pairs
+ for (i=0; i<8; i++) {
+ sprintf(&hexes[i*3], "%02x ", a.bytes[i]);
+ }
+ decimal64ToNumber(&a, &d);
+ decNumberToString(&d, string);
+ printf("%s => %s=> %s\n", argv[1], hexes, string);
+ return 0;
+ } // main
diff -Naur a/src/decNumber/example6.c b/src/decNumber/example6.c
--- a/src/decNumber/example6.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example6.c 2021-09-29 10:19:45.809827688 -0700
@@ -0,0 +1,61 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example6.c -- calculate compound interest, using Packed Decimal
+// Values are investment, rate (%), and years
+
+#include "decPacked.h" // base number library
+#include <stdio.h> // for printf
+
+int main(int argc, char *argv[]) {
+ { // excerpt for User's Guide starts here--------------------------|
+ decNumber one, mtwo, hundred; // constants
+ decNumber start, rate, years; // parameters
+ decNumber total; // result
+ decContext set; // working context
+
+ uint8_t startpack[]={0x01, 0x00, 0x00, 0x0C}; // investment=100000
+ int32_t startscale=0;
+ uint8_t ratepack[]={0x06, 0x5C}; // rate=6.5%
+ int32_t ratescale=1;
+ uint8_t yearspack[]={0x02, 0x0C}; // years=20
+ int32_t yearsscale=0;
+ uint8_t respack[16]; // result, packed
+ int32_t resscale; // ..
+ char hexes[49]; // for packed->hex
+ int i; // counter
+
+ if (argc<0) printf("%s", argv[1]); // noop for warning
+
+ decContextDefault(&set, DEC_INIT_BASE); // initialize
+ set.traps=0; // no traps
+ set.digits=25; // precision 25
+ decNumberFromString(&one, "1", &set); // set constants
+ decNumberFromString(&mtwo, "-2", &set);
+ decNumberFromString(&hundred, "100", &set);
+
+ decPackedToNumber(startpack, sizeof(startpack), &startscale, &start);
+ decPackedToNumber(ratepack, sizeof(ratepack), &ratescale, &rate);
+ decPackedToNumber(yearspack, sizeof(yearspack), &yearsscale, &years);
+
+ decNumberDivide(&rate, &rate, &hundred, &set); // rate=rate/100
+ decNumberAdd(&rate, &rate, &one, &set); // rate=rate+1
+ decNumberPower(&rate, &rate, &years, &set); // rate=rate^years
+ decNumberMultiply(&total, &rate, &start, &set); // total=rate*start
+ decNumberRescale(&total, &total, &mtwo, &set); // two digits please
+
+ decPackedFromNumber(respack, sizeof(respack), &resscale, &total);
+
+ // lay out the total as sixteen hexadecimal pairs
+ for (i=0; i<16; i++) {
+ sprintf(&hexes[i*3], "%02x ", respack[i]);
+ }
+ printf("Result: %s (scale=%ld)\n", hexes, (long int)resscale);
+
+ } //---------------------------------------------------------------|
+ return 0;
+ } // main
diff -Naur a/src/decNumber/example7.c b/src/decNumber/example7.c
--- a/src/decNumber/example7.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example7.c 2021-09-29 10:19:45.809827688 -0700
@@ -0,0 +1,35 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example7.c -- using decQuad to add two numbers together
+
+// compile: example7.c decContext.c decQuad.c
+
+#include "decQuad.h" // decQuad library
+#include <stdio.h> // for printf
+
+int main(int argc, char *argv[]) {
+ decQuad a, b; // working decQuads
+ decContext set; // working context
+ char string[DECQUAD_String]; // number->string buffer
+
+ decContextTestEndian(0); // warn if DECLITEND is wrong
+
+ if (argc<3) { // not enough words
+ printf("Please supply two numbers to add.\n");
+ return 1;
+ }
+ decContextDefault(&set, DEC_INIT_DECQUAD); // initialize
+
+ decQuadFromString(&a, argv[1], &set);
+ decQuadFromString(&b, argv[2], &set);
+ decQuadAdd(&a, &a, &b, &set); // a=a+b
+ decQuadToString(&a, string);
+
+ printf("%s + %s => %s\n", argv[1], argv[2], string);
+ return 0;
+ } // main
diff -Naur a/src/decNumber/example8.c b/src/decNumber/example8.c
--- a/src/decNumber/example8.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/example8.c 2021-09-29 10:19:45.809827688 -0700
@@ -0,0 +1,39 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number Library Demonstration program */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2001, 2007. All rights reserved. */
+/* ----------------------------------------------------------------+- */
+/* right margin -->| */
+
+// example8.c -- using decQuad with the decNumber module
+
+// compile: example8.c decContext.c decQuad.c
+// and: decNumber.c decimal128.c decimal64.c
+
+#include "decQuad.h" // decQuad library
+#include "decimal128.h" // interface to decNumber
+#include <stdio.h> // for printf
+
+int main(int argc, char *argv[]) {
+ decQuad a; // working decQuad
+ decNumber numa, numb; // working decNumbers
+ decContext set; // working context
+ char string[DECQUAD_String]; // number->string buffer
+
+ if (argc<3) { // not enough words
+ printf("Please supply two numbers for power(2*a, b).\n");
+ return 1;
+ }
+ decContextDefault(&set, DEC_INIT_DECQUAD); // initialize
+
+ decQuadFromString(&a, argv[1], &set); // get a
+ decQuadAdd(&a, &a, &a, &set); // double a
+ decQuadToNumber(&a, &numa); // convert to decNumber
+ decNumberFromString(&numb, argv[2], &set);
+ decNumberPower(&numa, &numa, &numb, &set); // numa=numa**numb
+ decQuadFromNumber(&a, &numa, &set); // back via a Quad
+ decQuadToString(&a, string); // ..
+
+ printf("power(2*%s, %s) => %s\n", argv[1], argv[2], string);
+ return 0;
+ } // main
diff -Naur a/src/decNumber/ICU-license.html b/src/decNumber/ICU-license.html
--- a/src/decNumber/ICU-license.html 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/ICU-license.html 2021-09-29 10:19:45.793827599 -0700
@@ -0,0 +1,45 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=us-ascii"></meta>
+<title>ICU License - ICU 1.8.1 and later</title>
+</head>
+
+<body>
+<h1>ICU License - ICU 1.8.1 and later</h1>
+<pre>
+COPYRIGHT AND PERMISSION NOTICE
+
+Copyright (c) 1995-2005 International Business Machines Corporation and others
+All rights reserved.
+
+Permission is hereby granted, free of charge, to any person obtaining a
+copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, and/or sell copies of the Software, and to permit persons
+to whom the Software is furnished to do so, provided that the above
+copyright notice(s) and this permission notice appear in all copies of
+the Software and that both the above copyright notice(s) and this
+permission notice appear in supporting documentation.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT
+OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR
+HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL
+INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING
+FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
+NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
+WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+
+Except as contained in this notice, the name of a copyright holder
+shall not be used in advertising or otherwise to promote the sale, use
+or other dealings in this Software without prior written authorization
+of the copyright holder.
+
+--------------------------------------------------------------------------------
+All trademarks and registered trademarks mentioned herein are the property of their respective owners.
+</pre>
+</body>
+</html>
diff -Naur a/src/decNumber/readme.txt b/src/decNumber/readme.txt
--- a/src/decNumber/readme.txt 1969-12-31 16:00:00.000000000 -0800
+++ b/src/decNumber/readme.txt 2021-09-29 10:19:45.809827688 -0700
@@ -0,0 +1,81 @@
+This is the readme.txt for the decNumber package. It includes
+instructions for compiling and testing the package; please read them.
+---------------------------------------------------------------------
+
+decNumber is distributed in two forms; as a complete package from
+the International Components for Unicode (ICU) site (under an as-is
+license), or as a collection of Open Source files from the GCC source
+repository (under the GPL license).
+
+If you are using the GCC files, you can obtain the documentation, the
+example files mentioned below, and this readme from the General
+Decimal Arithmetic web page -- http://speleotrove.com/decimal/ (the
+URL for the open source files is also linked from there).
+
+
+The ICU package
+---------------
+
+The ICU package includes the files:
+
+ * readme.txt (this file)
+
+ * ICU-license.html
+
+ * decNumber.pdf (documentation)
+
+ * The .c and .h file for each module in the package (see the
+ decNumber documentation), together with other included files.
+
+ * The .c files for each of the examples (example1.c through
+ example8.c).
+
+The ICU package is made available under the terms of the ICU License
+(ICU 1.8.1 and later) included in the package as ICU-license.html.
+Your use of that package indicates your acceptance of the terms and
+conditions of that Agreement.
+
+
+To use and check decNumber
+--------------------------
+
+ Please read the appropriate license and documentation before using
+ this package. If you are upgrading an existing use of decNumber
+ (with version <= 3.37) please read the Changes Appendix for later
+ versions -- you may need to change the DECLITEND flag.
+
+ 1. Compile and link example1.c, decNumber.c, and decContext.c
+ For instance, use:
+
+ gcc -o example1 example1.c decNumber.c decContext.c
+
+ Note: If your compiler does not provide stdint.h or if your C
+ compiler does not handle line comments (// ...), then see the
+ User's Guide section in the documentation for further information
+ (including a sample minimal stdint.h).
+
+ The use of compiler optimization is strongly recommended (e.g.,
+ -O3 for GCC or /O2 for Visual Studio).
+
+ 2. Run example1 with two numeric arguments, for example:
+
+ example1 1.23 1.27
+
+ this should display:
+
+ 1.23 + 1.27 => 2.50
+
+ 3. Similarly, try the other examples, at will.
+
+ Examples 2->4 require three files to be compiled, like Example 1.
+
+ Example 5 requires decimal64.c in addition to the core modules.
+
+ Example 6 requires decPacked.c in addition to the core modules.
+
+ Example 7 requires only example7.c decContext.c and decQuad.c
+
+ Example 8 requires example8.c, decContext.c, and decQuad.c, plus
+ decNumber.c, decimal128.c, and decimal64.c (the latter
+ for shared tables and code)
+
diff -Naur a/src/execute.c b/src/execute.c
--- a/src/execute.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/execute.c 2021-09-29 10:19:48.687843667 -0700
@@ -509,21 +509,25 @@
uint16_t v = *pc++;
jv* var = frame_local_var(jq, v, level);
jv max = stack_pop(jq);
- if (raising) goto do_backtrack;
+ if (raising) {
+ jv_free(max);
+ goto do_backtrack;
+ }
if (jv_get_kind(*var) != JV_KIND_NUMBER ||
jv_get_kind(max) != JV_KIND_NUMBER) {
set_error(jq, jv_invalid_with_msg(jv_string_fmt("Range bounds must be numeric")));
jv_free(max);
goto do_backtrack;
- } else if (jv_number_value(jv_copy(*var)) >= jv_number_value(jv_copy(max))) {
+ } else if (jv_number_value(*var) >= jv_number_value(max)) {
/* finished iterating */
+ jv_free(max);
goto do_backtrack;
} else {
- jv curr = jv_copy(*var);
+ jv curr = *var;
*var = jv_number(jv_number_value(*var) + 1);
struct stack_pos spos = stack_get_pos(jq);
- stack_push(jq, jv_copy(max));
+ stack_push(jq, max);
stack_save(jq, pc - 3, spos);
stack_push(jq, curr);
@@ -1010,6 +1014,9 @@
jq->attrs = jv_object();
jq->path = jv_null();
jq->value_at_path = jv_null();
+
+ jq->nomem_handler = NULL;
+ jq->nomem_handler_data = NULL;
return jq;
}
diff -Naur a/src/jq_test.c b/src/jq_test.c
--- a/src/jq_test.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/jq_test.c 2021-09-29 10:19:48.703843756 -0700
@@ -6,20 +6,32 @@
#include "jq.h"
static void jv_test();
-static void run_jq_tests(jv, int, FILE *);
+static void run_jq_tests(jv, int, FILE *, int, int);
int jq_testsuite(jv libdirs, int verbose, int argc, char* argv[]) {
FILE *testdata = stdin;
+ int skip = -1;
+ int take = -1;
jv_test();
if (argc > 0) {
- testdata = fopen(argv[0], "r");
- if (!testdata) {
- perror("fopen");
- exit(1);
+ for(int i = 0; i < argc; i++) {
+ if (!strcmp(argv[i], "--skip")) {
+ skip = atoi(argv[i+1]);
+ i++;
+ } else if (!strcmp(argv[i], "--take")) {
+ take = atoi(argv[i+1]);
+ i++;
+ } else {
+ testdata = fopen(argv[i], "r");
+ if (!testdata) {
+ perror("fopen");
+ exit(1);
+ }
+ }
}
}
- run_jq_tests(libdirs, verbose, testdata);
+ run_jq_tests(libdirs, verbose, testdata, skip, take);
return 0;
}
@@ -53,7 +65,7 @@
jv_free(e);
}
-static void run_jq_tests(jv lib_dirs, int verbose, FILE *testdata) {
+static void run_jq_tests(jv lib_dirs, int verbose, FILE *testdata, int skip, int take) {
char prog[4096];
char buf[4096];
struct err_data err_msg;
@@ -63,6 +75,9 @@
int check_msg = 0;
jq_state *jq = NULL;
+ int tests_to_skip = skip > 0 ? skip : 0;
+ int tests_to_take = take;
+
jq = jq_init();
assert(jq);
if (jv_get_kind(lib_dirs) == JV_KIND_NULL)
@@ -80,9 +95,37 @@
continue;
}
if (prog[strlen(prog)-1] == '\n') prog[strlen(prog)-1] = 0;
- printf("Testing '%s' at line number %u\n", prog, lineno);
+
+ if (skip > 0) {
+ skip--;
+
+ // skip past test data
+ while (fgets(buf, sizeof(buf), testdata)) {
+ lineno++;
+ if (buf[0] == '\n' || (buf[0] == '\r' && buf[1] == '\n'))
+ break;
+ }
+
+ must_fail = 0;
+ check_msg = 0;
+
+ continue;
+ } else if (skip == 0) {
+ printf("Skipped %d tests\n", tests_to_skip);
+ skip = -1;
+ }
+
+ if (take > 0) {
+ take--;
+ } else if (take == 0) {
+ printf("Hit the number of tests limit (%d), breaking\n", tests_to_take);
+ take = -1;
+ break;
+ }
+
int pass = 1;
tests++;
+ printf("Test #%d: '%s' at line number %u\n", tests + tests_to_skip, prog, lineno);
int compiled = jq_compile(jq, prog);
if (must_fail) {
@@ -179,7 +222,21 @@
passed+=pass;
}
jq_teardown(&jq);
- printf("%d of %d tests passed (%d malformed)\n", passed,tests,invalid);
+
+ int total_skipped = tests_to_skip;
+
+ if (skip > 0) {
+ total_skipped = tests_to_skip - skip;
+ }
+
+ printf("%d of %d tests passed (%d malformed, %d skipped)\n",
+ passed, tests, invalid, total_skipped);
+
+ if (skip > 0) {
+ printf("WARN: skipped past the end of file, exiting with status 2\n");
+ exit(2);
+ }
+
if (passed != tests) exit(1);
}
diff -Naur a/src/jv_aux.c b/src/jv_aux.c
--- a/src/jv_aux.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/jv_aux.c 2021-09-29 10:19:48.693843701 -0700
@@ -2,6 +2,16 @@
#include <stdlib.h>
#include <assert.h>
#include "jv_alloc.h"
+#include "jv_type_private.h"
+
+// making this static verbose function here
+// until we introduce a less confusing naming scheme
+// of jv_* API with regards to the memory management
+static double jv_number_get_value_and_consume(jv number) {
+ double value = jv_number_value(number);
+ jv_free(number);
+ return value;
+}
static int parse_slice(jv j, jv slice, int* pstart, int* pend) {
// Array slices
@@ -32,6 +42,8 @@
} else {
double dstart = jv_number_value(start_jv);
double dend = jv_number_value(end_jv);
+ jv_free(start_jv);
+ jv_free(end_jv);
if (dstart < 0) dstart += len;
if (dend < 0) dend += len;
if (dstart < 0) dstart = 0;
@@ -69,6 +81,7 @@
jv_free(v);
v = jv_null();
}
+ jv_free(k);
} else {
jv_free(t);
jv_free(k);
@@ -135,6 +148,7 @@
(jv_get_kind(t) == JV_KIND_ARRAY || isnull)) {
if (isnull) t = jv_array();
t = jv_array_set(t, (int)jv_number_value(k), v);
+ jv_free(k);
} else if (jv_get_kind(k) == JV_KIND_OBJECT &&
(jv_get_kind(t) == JV_KIND_ARRAY || isnull)) {
if (isnull) t = jv_array();
@@ -202,6 +216,7 @@
jv_get_kind(k) == JV_KIND_NUMBER) {
jv elem = jv_array_get(t, (int)jv_number_value(k));
ret = jv_bool(jv_is_valid(elem));
+ jv_free(k);
jv_free(elem);
} else {
ret = jv_invalid_with_msg(jv_string_fmt("Cannot check whether %s has a %s key",
@@ -240,6 +255,7 @@
ends = jv_array_append(ends, jv_number(end));
} else {
jv_free(new_array);
+ jv_free(key);
new_array = jv_invalid_with_msg(jv_string_fmt("Start and end indices of an array slice must be numbers"));
goto arr_out;
}
@@ -258,7 +274,7 @@
jv_array_foreach(t, i, elem) {
int del = 0;
while (neg_idx < jv_array_length(jv_copy(neg_keys))) {
- int delidx = len + (int)jv_number_value(jv_array_get(jv_copy(neg_keys), neg_idx));
+ int delidx = len + (int)jv_number_get_value_and_consume(jv_array_get(jv_copy(neg_keys), neg_idx));
if (i == delidx) {
del = 1;
}
@@ -268,7 +284,7 @@
neg_idx++;
}
while (nonneg_idx < jv_array_length(jv_copy(nonneg_keys))) {
- int delidx = (int)jv_number_value(jv_array_get(jv_copy(nonneg_keys), nonneg_idx));
+ int delidx = (int)jv_number_get_value_and_consume(jv_array_get(jv_copy(nonneg_keys), nonneg_idx));
if (i == delidx) {
del = 1;
}
@@ -278,8 +294,8 @@
nonneg_idx++;
}
for (int sidx=0; !del && sidx<jv_array_length(jv_copy(starts)); sidx++) {
- if ((int)jv_number_value(jv_array_get(jv_copy(starts), sidx)) <= i &&
- i < (int)jv_number_value(jv_array_get(jv_copy(ends), sidx))) {
+ if ((int)jv_number_get_value_and_consume(jv_array_get(jv_copy(starts), sidx)) <= i &&
+ i < (int)jv_number_get_value_and_consume(jv_array_get(jv_copy(ends), sidx))) {
del = 1;
}
}
@@ -511,14 +527,13 @@
break;
case JV_KIND_NUMBER: {
- double da = jv_number_value(a), db = jv_number_value(b);
-
- // handle NaN as though it were null
- if (da != da) r = jv_cmp(jv_null(), jv_number(db));
- else if (db != db) r = jv_cmp(jv_number(da), jv_null());
- else if (da < db) r = -1;
- else if (da == db) r = 0;
- else r = 1;
+ if (jvp_number_is_nan(a)) {
+ r = jv_cmp(jv_null(), jv_copy(b));
+ } else if (jvp_number_is_nan(b)) {
+ r = jv_cmp(jv_copy(a), jv_null());
+ } else {
+ r = jvp_number_cmp(a, b);
+ }
break;
}
diff -Naur a/src/jv.c b/src/jv.c
--- a/src/jv.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/jv.c 2021-09-29 10:34:33.921759103 -0700
@@ -13,6 +13,15 @@
#include "jv_unicode.h"
#include "util.h"
+#include "jv_dtoa.h"
+#include "jv_dtoa_tsd.h"
+
+// this means that we will manage the space for the struct
+#define DECNUMDIGITS 1
+#include "decNumber/decNumber.h"
+
+#include "jv_type_private.h"
+
/*
* Internal refcounting helpers
*/
@@ -37,14 +46,33 @@
return c->count == 1;
}
-/*
- * Simple values (true, false, null)
- */
-
-#define KIND_MASK 0xf
+#define KIND_MASK 0xF
+#define PFLAGS_MASK 0xF0
+#define PTYPE_MASK 0x70
+
+typedef enum {
+ JVP_PAYLOAD_NONE = 0,
+ JVP_PAYLOAD_ALLOCATED = 0x80,
+} payload_flags;
+
+#define JVP_MAKE_PFLAGS(ptype, allocated) ((((ptype) << 4) & PTYPE_MASK) | ((allocated) ? JVP_PAYLOAD_ALLOCATED : 0))
+#define JVP_MAKE_FLAGS(kind, pflags) ((kind & KIND_MASK) | (pflags & PFLAGS_MASK))
+
+#define JVP_FLAGS(j) ((j).kind_flags)
+#define JVP_KIND(j) (JVP_FLAGS(j) & KIND_MASK)
+
+#define JVP_HAS_FLAGS(j, flags) (JVP_FLAGS(j) == flags)
+#define JVP_HAS_KIND(j, kind) (JVP_KIND(j) == kind)
+
+#define JVP_IS_ALLOCATED(j) (j.kind_flags & JVP_PAYLOAD_ALLOCATED)
+
+#define JVP_FLAGS_NULL JVP_MAKE_FLAGS(JV_KIND_NULL, JVP_PAYLOAD_NONE)
+#define JVP_FLAGS_INVALID JVP_MAKE_FLAGS(JV_KIND_INVALID, JVP_PAYLOAD_NONE)
+#define JVP_FLAGS_FALSE JVP_MAKE_FLAGS(JV_KIND_FALSE, JVP_PAYLOAD_NONE)
+#define JVP_FLAGS_TRUE JVP_MAKE_FLAGS(JV_KIND_TRUE, JVP_PAYLOAD_NONE)
jv_kind jv_get_kind(jv x) {
- return x.kind_flags & KIND_MASK;
+ return JVP_KIND(x);
}
const char* jv_kind_name(jv_kind k) {
@@ -62,10 +90,10 @@
return "<unknown>";
}
-static const jv JV_NULL = {JV_KIND_NULL, 0, 0, 0, {0}};
-static const jv JV_INVALID = {JV_KIND_INVALID, 0, 0, 0, {0}};
-static const jv JV_FALSE = {JV_KIND_FALSE, 0, 0, 0, {0}};
-static const jv JV_TRUE = {JV_KIND_TRUE, 0, 0, 0, {0}};
+const jv JV_NULL = {JVP_FLAGS_NULL, 0, 0, 0, {0}};
+const jv JV_INVALID = {JVP_FLAGS_INVALID, 0, 0, 0, {0}};
+const jv JV_FALSE = {JVP_FLAGS_FALSE, 0, 0, 0, {0}};
+const jv JV_TRUE = {JVP_FLAGS_TRUE, 0, 0, 0, {0}};
jv jv_true() {
return JV_TRUE;
@@ -87,19 +115,21 @@
* Invalid objects, with optional error messages
*/
+#define JVP_FLAGS_INVALID_MSG JVP_MAKE_FLAGS(JV_KIND_INVALID, JVP_PAYLOAD_ALLOCATED)
+
typedef struct {
jv_refcnt refcnt;
jv errmsg;
} jvp_invalid;
jv jv_invalid_with_msg(jv err) {
- if (jv_get_kind(err) == JV_KIND_NULL)
+ if (JVP_HAS_KIND(err, JV_KIND_NULL))
return JV_INVALID;
jvp_invalid* i = jv_mem_alloc(sizeof(jvp_invalid));
i->refcnt = JV_REFCNT_INIT;
i->errmsg = err;
- jv x = {JV_KIND_INVALID, 0, 0, 0, {&i->refcnt}};
+ jv x = {JVP_FLAGS_INVALID_MSG, 0, 0, 0, {&i->refcnt}};
return x;
}
@@ -108,26 +138,30 @@
}
jv jv_invalid_get_msg(jv inv) {
- assert(jv_get_kind(inv) == JV_KIND_INVALID);
+ assert(JVP_HAS_KIND(inv, JV_KIND_INVALID));
+
jv x;
- if (inv.u.ptr == 0)
- x = jv_null();
- else
+ if (JVP_HAS_FLAGS(inv, JVP_FLAGS_INVALID_MSG)) {
x = jv_copy(((jvp_invalid*)inv.u.ptr)->errmsg);
+ }
+ else {
+ x = jv_null();
+ }
+
jv_free(inv);
return x;
}
int jv_invalid_has_msg(jv inv) {
- jv msg = jv_invalid_get_msg(inv);
- int r = jv_get_kind(msg) != JV_KIND_NULL;
- jv_free(msg);
+ assert(JVP_HAS_KIND(inv, JV_KIND_INVALID));
+ int r = JVP_HAS_FLAGS(inv, JVP_FLAGS_INVALID_MSG);
+ jv_free(inv);
return r;
}
static void jvp_invalid_free(jv x) {
- assert(jv_get_kind(x) == JV_KIND_INVALID);
- if (x.u.ptr != 0 && jvp_refcnt_dec(x.u.ptr)) {
+ assert(JVP_HAS_KIND(x, JV_KIND_INVALID));
+ if (JVP_HAS_FLAGS(x, JVP_FLAGS_INVALID_MSG) && jvp_refcnt_dec(x.u.ptr)) {
jv_free(((jvp_invalid*)x.u.ptr)->errmsg);
jv_mem_free(x.u.ptr);
}
@@ -137,20 +171,269 @@
* Numbers
*/
+enum {
+ JVP_NUMBER_NATIVE = 0,
+ JVP_NUMBER_DECIMAL = 1
+};
+
+#define JV_NUMBER_SIZE_INIT (0)
+#define JV_NUMBER_SIZE_CONVERTED (1)
+
+#define JVP_FLAGS_NUMBER_NATIVE JVP_MAKE_FLAGS(JV_KIND_NUMBER, JVP_MAKE_PFLAGS(JVP_NUMBER_NATIVE, 0))
+#define JVP_FLAGS_NUMBER_NATIVE_STR JVP_MAKE_FLAGS(JV_KIND_NUMBER, JVP_MAKE_PFLAGS(JVP_NUMBER_NATIVE, 1))
+#define JVP_FLAGS_NUMBER_LITERAL JVP_MAKE_FLAGS(JV_KIND_NUMBER, JVP_MAKE_PFLAGS(JVP_NUMBER_DECIMAL, 1))
+
+#define STR(x) #x
+#define XSTR(x) STR(x)
+#define DBL_MAX_STR XSTR(DBL_MAX)
+#define DBL_MIN_STR "-" XSTR(DBL_MAX)
+
+// the decimal precision of binary double
+#define BIN64_DEC_PRECISION (17)
+#define DEC_NUMBER_STRING_GUARD (14)
+
+#include <pthread.h>
+
+static pthread_key_t dec_ctx_key;
+static pthread_key_t dec_ctx_dbl_key;
+static pthread_once_t dec_ctx_once = PTHREAD_ONCE_INIT;
+
+#define DEC_CONTEXT() tsd_dec_ctx_get(&dec_ctx_key)
+#define DEC_CONTEXT_TO_DOUBLE() tsd_dec_ctx_get(&dec_ctx_dbl_key)
+
+// atexit finalizer to clean up the tsd dec contexts if main() exits
+// without having called pthread_exit()
+static void tsd_dec_ctx_fini() {
+ jv_mem_free(pthread_getspecific(dec_ctx_key));
+ jv_mem_free(pthread_getspecific(dec_ctx_dbl_key));
+ pthread_setspecific(dec_ctx_key, NULL);
+ pthread_setspecific(dec_ctx_dbl_key, NULL);
+}
+
+static void tsd_dec_ctx_init() {
+ if (pthread_key_create(&dec_ctx_key, jv_mem_free) != 0) {
+ fprintf(stderr, "error: cannot create thread specific key");
+ abort();
+ }
+ if (pthread_key_create(&dec_ctx_dbl_key, jv_mem_free) != 0) {
+ fprintf(stderr, "error: cannot create thread specific key");
+ abort();
+ }
+ atexit(tsd_dec_ctx_fini);
+}
+
+static decContext* tsd_dec_ctx_get(pthread_key_t *key) {
+ pthread_once(&dec_ctx_once, tsd_dec_ctx_init); // cannot fail
+ decContext *ctx = (decContext*)pthread_getspecific(*key);
+ if (ctx) {
+ return ctx;
+ }
+
+ decContext _ctx = {
+ 0,
+ DEC_MAX_EMAX,
+ DEC_MIN_EMAX,
+ DEC_ROUND_HALF_UP,
+ 0, /*no errors*/
+ 0, /*status*/
+ 0, /*no clamping*/
+ };
+ if (key == &dec_ctx_key) {
+ _ctx.digits = DEC_MAX_DIGITS;
+ } else if (key == &dec_ctx_dbl_key) {
+ _ctx.digits = BIN64_DEC_PRECISION;
+ }
+
+ ctx = malloc(sizeof(decContext));
+ if (ctx) {
+ *ctx = _ctx;
+ if (pthread_setspecific(*key, ctx) != 0) {
+ fprintf(stderr, "error: cannot store thread specific data");
+ abort();
+ }
+ }
+ return ctx;
+}
+
+typedef struct {
+ jv_refcnt refcnt;
+ double num_double;
+ char * literal_data;
+ decNumber num_decimal; // must be the last field in the structure for memory management
+} jvp_literal_number;
+
+typedef struct {
+ decNumber number;
+ decNumberUnit units[1];
+} decNumberSingle;
+
+typedef struct {
+ decNumber number;
+ decNumberUnit units[BIN64_DEC_PRECISION];
+} decNumberDoublePrecision;
+
+
+static inline int jvp_number_is_literal(jv n) {
+ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER));
+ return JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL);
+}
+
+static jvp_literal_number* jvp_literal_number_ptr(jv j) {
+ assert(JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL));
+ return (jvp_literal_number*)j.u.ptr;
+}
+
+static decNumber* jvp_dec_number_ptr(jv j) {
+ assert(JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL));
+ return &(((jvp_literal_number*)j.u.ptr)->num_decimal);
+}
+
+static jvp_literal_number* jvp_literal_number_alloc(unsigned literal_length) {
+
+ /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
+ int units = ((literal_length+DECDPUN-1)/DECDPUN);
+
+ jvp_literal_number* n = jv_mem_alloc(
+ sizeof(jvp_literal_number)
+ + sizeof(decNumberUnit) * units
+ );
+
+ return n;
+}
+
+static jv jvp_literal_number_new(const char * literal) {
+
+ jvp_literal_number * n = jvp_literal_number_alloc(strlen(literal));
+
+ n->refcnt = JV_REFCNT_INIT;
+ n->literal_data = NULL;
+ decContext *ctx = DEC_CONTEXT();
+ decNumberFromString(&n->num_decimal, literal, ctx);
+ n->num_double = NAN;
+
+ if (ctx->status & DEC_Conversion_syntax) {
+ jv_mem_free(n);
+ return JV_INVALID;
+ }
+
+ jv r = {JVP_FLAGS_NUMBER_LITERAL, 0, 0, JV_NUMBER_SIZE_INIT, {&n->refcnt}};
+ return r;
+}
+
+static double jvp_literal_number_to_double(jv j) {
+ assert(JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL));
+
+ decNumber *p_dec_number = jvp_dec_number_ptr(j);
+ decNumberDoublePrecision dec_double;
+ char literal[BIN64_DEC_PRECISION + DEC_NUMBER_STRING_GUARD + 1];
+
+ // reduce the number to the shortest possible form
+ // while also making sure than no more than BIN64_DEC_PRECISION
+ // digits are used (dec_context_to_double)
+ decNumberReduce(&dec_double.number, p_dec_number, DEC_CONTEXT_TO_DOUBLE());
+
+ decNumberToString(&dec_double.number, literal);
+
+ char *end;
+ return jvp_strtod(tsd_dtoa_context_get(), literal, &end);
+}
+
+
+static int jvp_number_equal(jv a, jv b) {
+ return jvp_number_cmp(a, b) == 0;
+}
+
+static const char* jvp_literal_number_literal(jv n) {
+ assert(JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL));
+ decNumber *pdec = jvp_dec_number_ptr(n);
+ jvp_literal_number* plit = jvp_literal_number_ptr(n);
+
+ if (decNumberIsNaN(pdec)) {
+ return "null";
+ }
+
+ if (decNumberIsInfinite(pdec)) {
+ // For backward compatibiltiy.
+ if (decNumberIsNegative(pdec)) {
+ return DBL_MIN_STR;
+ } else {
+ return DBL_MAX_STR;
+ }
+ }
+
+ if (plit->literal_data == NULL) {
+ int len = jvp_dec_number_ptr(n)->digits + 14;
+ plit->literal_data = jv_mem_alloc(len);
+
+ // Preserve the actual precision as we have parsed it
+ // don't do decNumberTrim(pdec);
+
+ decNumberToString(pdec, plit->literal_data);
+ }
+
+ return plit->literal_data;
+}
+
+int jv_number_has_literal(jv n) {
+ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER));
+ return JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL);
+}
+
+const char* jv_number_get_literal(jv n) {
+ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER));
+
+ if (JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL)) {
+ return jvp_literal_number_literal(n);
+ } else {
+ return NULL;
+ }
+}
+
+static void jvp_number_free(jv j) {
+ assert(JVP_HAS_KIND(j, JV_KIND_NUMBER));
+ if (JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL) && jvp_refcnt_dec(j.u.ptr)) {
+ jvp_literal_number* n = jvp_literal_number_ptr(j);
+ if (n->literal_data) {
+ jv_mem_free(n->literal_data);
+ }
+ jv_mem_free(n);
+ }
+}
+
+jv jv_number_with_literal(const char * literal) {
+ return jvp_literal_number_new(literal);
+}
+
jv jv_number(double x) {
- jv j = {JV_KIND_NUMBER, 0, 0, 0, {.number = x}};
+ jv j = {JVP_FLAGS_NUMBER_NATIVE, 0, 0, 0, {.number = x}};
return j;
}
double jv_number_value(jv j) {
- assert(jv_get_kind(j) == JV_KIND_NUMBER);
- return j.u.number;
+ assert(JVP_HAS_KIND(j, JV_KIND_NUMBER));
+#ifdef USE_DECNUM
+ if (JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL)) {
+ jvp_literal_number* n = jvp_literal_number_ptr(j);
+
+ if (j.size != JV_NUMBER_SIZE_CONVERTED) {
+ n->num_double = jvp_literal_number_to_double(j);
+ j.size = JV_NUMBER_SIZE_CONVERTED;
+ }
+
+ return n->num_double;
+ } else {
+#endif
+ return j.u.number;
+#ifdef USE_DECNUM
+ }
+#endif
}
int jv_is_integer(jv j){
- if(jv_get_kind(j) != JV_KIND_NUMBER){
+ if(!JVP_HAS_KIND(j, JV_KIND_NUMBER)){
return 0;
}
+
double x = jv_number_value(j);
if(x != x || x > INT_MAX || x < INT_MIN){
return 0;
@@ -159,11 +442,53 @@
return x == (int)x;
}
+int jvp_number_is_nan(jv n) {
+ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER));
+
+ if (JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL)) {
+ decNumber *pdec = jvp_dec_number_ptr(n);
+ return decNumberIsNaN(pdec);
+ } else {
+ return n.u.number != n.u.number;
+ }
+}
+
+int jvp_number_cmp(jv a, jv b) {
+ assert(JVP_HAS_KIND(a, JV_KIND_NUMBER));
+ assert(JVP_HAS_KIND(b, JV_KIND_NUMBER));
+
+ if(JVP_HAS_FLAGS(a, JVP_FLAGS_NUMBER_LITERAL) && JVP_HAS_FLAGS(b, JVP_FLAGS_NUMBER_LITERAL)) {
+ decNumberSingle res;
+ decNumberCompare(&res.number,
+ jvp_dec_number_ptr(a),
+ jvp_dec_number_ptr(b),
+ DEC_CONTEXT()
+ );
+ if (decNumberIsZero(&res.number)) {
+ return 0;
+ } else if (decNumberIsNegative(&res.number)) {
+ return -1;
+ } else {
+ return 1;
+ }
+ } else {
+ double da = jv_number_value(a), db = jv_number_value(b);
+ if (da < db) {
+ return -1;
+ } else if (da == db) {
+ return 0;
+ } else {
+ return 1;
+ }
+ }
+}
+
/*
* Arrays (internal helpers)
*/
#define ARRAY_SIZE_ROUND_UP(n) (((n)*3)/2)
+#define JVP_FLAGS_ARRAY JVP_MAKE_FLAGS(JV_KIND_ARRAY, JVP_PAYLOAD_ALLOCATED)
static int imax(int a, int b) {
if (a>b) return a;
@@ -178,7 +503,7 @@
} jvp_array;
static jvp_array* jvp_array_ptr(jv a) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
return (jvp_array*)a.u.ptr;
}
@@ -191,12 +516,12 @@
}
static jv jvp_array_new(unsigned size) {
- jv r = {JV_KIND_ARRAY, 0, 0, 0, {&jvp_array_alloc(size)->refcnt}};
+ jv r = {JVP_FLAGS_ARRAY, 0, 0, 0, {&jvp_array_alloc(size)->refcnt}};
return r;
}
static void jvp_array_free(jv a) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
if (jvp_refcnt_dec(a.u.ptr)) {
jvp_array* array = jvp_array_ptr(a);
for (int i=0; i<array->length; i++) {
@@ -207,17 +532,17 @@
}
static int jvp_array_length(jv a) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
return a.size;
}
static int jvp_array_offset(jv a) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
return a.offset;
}
static jv* jvp_array_read(jv a, int i) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
if (i >= 0 && i < jvp_array_length(a)) {
jvp_array* array = jvp_array_ptr(a);
assert(i + jvp_array_offset(a) < array->length);
@@ -254,7 +579,7 @@
}
new_array->length = new_length;
jvp_array_free(*a);
- jv new_jv = {JV_KIND_ARRAY, 0, 0, new_length, {&new_array->refcnt}};
+ jv new_jv = {JVP_FLAGS_ARRAY, 0, 0, new_length, {&new_array->refcnt}};
*a = new_jv;
return &new_array->elements[i];
}
@@ -285,8 +610,33 @@
if (*pend < *pstart) *pend = *pstart;
}
+
+static int jvp_array_contains(jv a, jv b) {
+ int r = 1;
+ jv_array_foreach(b, bi, belem) {
+ int ri = 0;
+ jv_array_foreach(a, ai, aelem) {
+ if (jv_contains(aelem, jv_copy(belem))) {
+ ri = 1;
+ break;
+ }
+ }
+ jv_free(belem);
+ if (!ri) {
+ r = 0;
+ break;
+ }
+ }
+ return r;
+}
+
+
+/*
+ * Public
+ */
+
static jv jvp_array_slice(jv a, int start, int end) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
int len = jvp_array_length(a);
jvp_clamp_slice_params(len, &start, &end);
assert(0 <= start && start <= end && end <= len);
@@ -323,14 +673,14 @@
}
int jv_array_length(jv j) {
- assert(jv_get_kind(j) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY));
int len = jvp_array_length(j);
jv_free(j);
return len;
}
jv jv_array_get(jv j, int idx) {
- assert(jv_get_kind(j) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY));
jv* slot = jvp_array_read(j, idx);
jv val;
if (slot) {
@@ -343,7 +693,7 @@
}
jv jv_array_set(jv j, int idx, jv val) {
- assert(jv_get_kind(j) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY));
if (idx < 0)
idx = jvp_array_length(j) + idx;
@@ -365,8 +715,8 @@
}
jv jv_array_concat(jv a, jv b) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
- assert(jv_get_kind(b) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
+ assert(JVP_HAS_KIND(b, JV_KIND_ARRAY));
// FIXME: could be faster
jv_array_foreach(b, i, elem) {
@@ -377,44 +727,22 @@
}
jv jv_array_slice(jv a, int start, int end) {
- assert(jv_get_kind(a) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY));
// copy/free of a coalesced
return jvp_array_slice(a, start, end);
}
-int jv_array_contains(jv a, jv b) {
- int r = 1;
- jv_array_foreach(b, bi, belem) {
- int ri = 0;
- jv_array_foreach(a, ai, aelem) {
- if (jv_contains(aelem, jv_copy(belem))) {
- ri = 1;
- break;
- }
- }
- jv_free(belem);
- if (!ri) {
- r = 0;
- break;
- }
- }
- jv_free(a);
- jv_free(b);
- return r;
-}
-
jv jv_array_indexes(jv a, jv b) {
jv res = jv_array();
int idx = -1;
jv_array_foreach(a, ai, aelem) {
+ jv_free(aelem);
jv_array_foreach(b, bi, belem) {
- // quieten compiler warnings about aelem not being used... by
- // using it
- if ((bi == 0 && !jv_equal(jv_copy(aelem), jv_copy(belem))) ||
- (bi > 0 && !jv_equal(jv_array_get(jv_copy(a), ai + bi), jv_copy(belem))))
+ if (!jv_equal(jv_array_get(jv_copy(a), ai + bi), jv_copy(belem)))
idx = -1;
else if (bi == 0 && idx == -1)
idx = ai;
+ jv_free(belem);
}
if (idx > -1)
res = jv_array_append(res, jv_number(idx));
@@ -425,11 +753,12 @@
return res;
}
-
/*
* Strings (internal helpers)
*/
+#define JVP_FLAGS_STRING JVP_MAKE_FLAGS(JV_KIND_STRING, JVP_PAYLOAD_ALLOCATED)
+
typedef struct {
jv_refcnt refcnt;
uint32_t hash;
@@ -441,7 +770,7 @@
} jvp_string;
static jvp_string* jvp_string_ptr(jv a) {
- assert(jv_get_kind(a) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(a, JV_KIND_STRING));
return (jvp_string*)a.u.ptr;
}
@@ -473,7 +802,7 @@
length = out - s->data;
s->data[length] = 0;
s->length_hashed = length << 1;
- jv r = {JV_KIND_STRING, 0, 0, 0, {&s->refcnt}};
+ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&s->refcnt}};
return r;
}
@@ -484,7 +813,7 @@
if (data != NULL)
memcpy(s->data, data, length);
s->data[length] = 0;
- jv r = {JV_KIND_STRING, 0, 0, 0, {&s->refcnt}};
+ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&s->refcnt}};
return r;
}
@@ -492,7 +821,7 @@
jvp_string* s = jvp_string_alloc(length);
s->length_hashed = 0;
memset(s->data, 0, length);
- jv r = {JV_KIND_STRING, 0, 0, 0, {&s->refcnt}};
+ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&s->refcnt}};
return r;
}
@@ -535,7 +864,7 @@
memcpy(news->data + currlen, data, len);
news->data[currlen + len] = 0;
jvp_string_free(string);
- jv r = {JV_KIND_STRING, 0, 0, 0, {&news->refcnt}};
+ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&news->refcnt}};
return r;
}
}
@@ -602,9 +931,10 @@
return h1;
}
+
static int jvp_string_equal(jv a, jv b) {
- assert(jv_get_kind(a) == JV_KIND_STRING);
- assert(jv_get_kind(b) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(a, JV_KIND_STRING));
+ assert(JVP_HAS_KIND(b, JV_KIND_STRING));
jvp_string* stra = jvp_string_ptr(a);
jvp_string* strb = jvp_string_ptr(b);
if (jvp_string_length(stra) != jvp_string_length(strb)) return 0;
@@ -631,14 +961,14 @@
}
int jv_string_length_bytes(jv j) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
int r = jvp_string_length(jvp_string_ptr(j));
jv_free(j);
return r;
}
int jv_string_length_codepoints(jv j) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
const char* i = jv_string_value(j);
const char* end = i + jv_string_length_bytes(jv_copy(j));
int c = 0, len = 0;
@@ -649,8 +979,8 @@
jv jv_string_indexes(jv j, jv k) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
- assert(jv_get_kind(k) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
+ assert(JVP_HAS_KIND(k, JV_KIND_STRING));
const char *jstr = jv_string_value(j);
const char *idxstr = jv_string_value(k);
const char *p;
@@ -669,8 +999,8 @@
}
jv jv_string_split(jv j, jv sep) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
- assert(jv_get_kind(sep) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
+ assert(JVP_HAS_KIND(sep, JV_KIND_STRING));
const char *jstr = jv_string_value(j);
const char *jend = jstr + jv_string_length_bytes(jv_copy(j));
const char *sepstr = jv_string_value(sep);
@@ -701,7 +1031,7 @@
}
jv jv_string_explode(jv j) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
const char* i = jv_string_value(j);
int len = jv_string_length_bytes(jv_copy(j));
const char* end = i + len;
@@ -714,7 +1044,7 @@
}
jv jv_string_implode(jv j) {
- assert(jv_get_kind(j) == JV_KIND_ARRAY);
+ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY));
int len = jv_array_length(jv_copy(j));
jv s = jv_string_empty(len);
int i;
@@ -723,8 +1053,9 @@
for (i = 0; i < len; i++) {
jv n = jv_array_get(jv_copy(j), i);
- assert(jv_get_kind(n) == JV_KIND_NUMBER);
+ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER));
int nv = jv_number_value(n);
+ jv_free(n);
if (nv > 0x10FFFF)
nv = 0xFFFD; // U+FFFD REPLACEMENT CHARACTER
s = jv_string_append_codepoint(s, nv);
@@ -735,19 +1066,19 @@
}
unsigned long jv_string_hash(jv j) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
uint32_t hash = jvp_string_hash(j);
jv_free(j);
return hash;
}
const char* jv_string_value(jv j) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
return jvp_string_ptr(j)->data;
}
jv jv_string_slice(jv j, int start, int end) {
- assert(jv_get_kind(j) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(j, JV_KIND_STRING));
const char *s = jv_string_value(j);
int len = jv_string_length_bytes(jv_copy(j));
int i;
@@ -858,6 +1189,8 @@
* Objects (internal helpers)
*/
+#define JVP_FLAGS_OBJECT JVP_MAKE_FLAGS(JV_KIND_OBJECT, JVP_PAYLOAD_ALLOCATED)
+
struct object_slot {
int next; /* next slot with same hash, for collisions */
uint32_t hash;
@@ -894,22 +1227,22 @@
for (int i=0; i<size*2; i++) {
hashbuckets[i] = -1;
}
- jv r = {JV_KIND_OBJECT, 0, 0, size, {&obj->refcnt}};
+ jv r = {JVP_FLAGS_OBJECT, 0, 0, size, {&obj->refcnt}};
return r;
}
static jvp_object* jvp_object_ptr(jv o) {
- assert(jv_get_kind(o) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT));
return (jvp_object*)o.u.ptr;
}
static uint32_t jvp_object_mask(jv o) {
- assert(jv_get_kind(o) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT));
return (o.size * 2) - 1;
}
static int jvp_object_size(jv o) {
- assert(jv_get_kind(o) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT));
return o.size;
}
@@ -957,7 +1290,7 @@
}
static jv* jvp_object_read(jv object, jv key) {
- assert(jv_get_kind(key) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(key, JV_KIND_STRING));
int* bucket = jvp_object_find_bucket(object, key);
struct object_slot* slot = jvp_object_find_slot(object, key, bucket);
if (slot == 0) return 0;
@@ -965,7 +1298,7 @@
}
static void jvp_object_free(jv o) {
- assert(jv_get_kind(o) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT));
if (jvp_refcnt_dec(o.u.ptr)) {
for (int i=0; i<jvp_object_size(o); i++) {
struct object_slot* slot = jvp_object_get_slot(o, i);
@@ -979,7 +1312,7 @@
}
static jv jvp_object_rehash(jv object) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
assert(jvp_refcnt_unshared(object.u.ptr));
int size = jvp_object_size(object);
jv new_object = jvp_object_new(size * 2);
@@ -998,7 +1331,7 @@
}
static jv jvp_object_unshare(jv object) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
if (jvp_refcnt_unshared(object.u.ptr))
return object;
@@ -1047,7 +1380,7 @@
}
static int jvp_object_delete(jv* object, jv key) {
- assert(jv_get_kind(key) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(key, JV_KIND_STRING));
*object = jvp_object_unshare(*object);
int* bucket = jvp_object_find_bucket(*object, key);
int* prev_ptr = bucket;
@@ -1091,6 +1424,22 @@
return len1 == len2;
}
+static int jvp_object_contains(jv a, jv b) {
+ assert(JVP_HAS_KIND(a, JV_KIND_OBJECT));
+ assert(JVP_HAS_KIND(b, JV_KIND_OBJECT));
+ int r = 1;
+
+ jv_object_foreach(b, key, b_val) {
+ jv a_val = jv_object_get(jv_copy(a), jv_copy(key));
+
+ r = jv_contains(a_val, b_val);
+ jv_free(key);
+
+ if (!r) break;
+ }
+ return r;
+}
+
/*
* Objects (public interface)
*/
@@ -1100,8 +1449,8 @@
}
jv jv_object_get(jv object, jv key) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
- assert(jv_get_kind(key) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
+ assert(JVP_HAS_KIND(key, JV_KIND_STRING));
jv* slot = jvp_object_read(object, key);
jv val;
if (slot) {
@@ -1115,8 +1464,8 @@
}
int jv_object_has(jv object, jv key) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
- assert(jv_get_kind(key) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
+ assert(JVP_HAS_KIND(key, JV_KIND_STRING));
jv* slot = jvp_object_read(object, key);
int res = slot ? 1 : 0;
jv_free(object);
@@ -1125,8 +1474,8 @@
}
jv jv_object_set(jv object, jv key, jv value) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
- assert(jv_get_kind(key) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
+ assert(JVP_HAS_KIND(key, JV_KIND_STRING));
// copy/free of object, key, value coalesced
jv* slot = jvp_object_write(&object, key);
jv_free(*slot);
@@ -1135,22 +1484,22 @@
}
jv jv_object_delete(jv object, jv key) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
- assert(jv_get_kind(key) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
+ assert(JVP_HAS_KIND(key, JV_KIND_STRING));
jvp_object_delete(&object, key);
jv_free(key);
return object;
}
int jv_object_length(jv object) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
int n = jvp_object_length(object);
jv_free(object);
return n;
}
jv jv_object_merge(jv a, jv b) {
- assert(jv_get_kind(a) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(a, JV_KIND_OBJECT));
jv_object_foreach(b, k, v) {
a = jv_object_set(a, k, v);
}
@@ -1159,14 +1508,14 @@
}
jv jv_object_merge_recursive(jv a, jv b) {
- assert(jv_get_kind(a) == JV_KIND_OBJECT);
- assert(jv_get_kind(b) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(a, JV_KIND_OBJECT));
+ assert(JVP_HAS_KIND(b, JV_KIND_OBJECT));
jv_object_foreach(b, k, v) {
jv elem = jv_object_get(jv_copy(a), jv_copy(k));
if (jv_is_valid(elem) &&
- jv_get_kind(elem) == JV_KIND_OBJECT &&
- jv_get_kind(v) == JV_KIND_OBJECT) {
+ JVP_HAS_KIND(elem, JV_KIND_OBJECT) &&
+ JVP_HAS_KIND(v, JV_KIND_OBJECT)) {
a = jv_object_set(a, k, jv_object_merge_recursive(elem, v));
} else {
jv_free(elem);
@@ -1177,25 +1526,6 @@
return a;
}
-int jv_object_contains(jv a, jv b) {
- assert(jv_get_kind(a) == JV_KIND_OBJECT);
- assert(jv_get_kind(b) == JV_KIND_OBJECT);
- int r = 1;
-
- jv_object_foreach(b, key, b_val) {
- jv a_val = jv_object_get(jv_copy(a), jv_copy(key));
-
- r = jv_contains(a_val, b_val);
- jv_free(key);
-
- if (!r) break;
- }
-
- jv_free(a);
- jv_free(b);
- return r;
-}
-
/*
* Object iteration (internal helpers)
*/
@@ -1207,12 +1537,12 @@
}
int jv_object_iter(jv object) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
return jv_object_iter_next(object, -1);
}
int jv_object_iter_next(jv object, int iter) {
- assert(jv_get_kind(object) == JV_KIND_OBJECT);
+ assert(JVP_HAS_KIND(object, JV_KIND_OBJECT));
assert(iter != ITER_FINISHED);
struct object_slot* slot;
do {
@@ -1228,7 +1558,7 @@
jv jv_object_iter_key(jv object, int iter) {
jv s = jvp_object_get_slot(object, iter)->string;
- assert(jv_get_kind(s) == JV_KIND_STRING);
+ assert(JVP_HAS_KIND(s, JV_KIND_STRING));
return jv_copy(s);
}
@@ -1240,34 +1570,36 @@
* Memory management
*/
jv jv_copy(jv j) {
- if (jv_get_kind(j) == JV_KIND_ARRAY ||
- jv_get_kind(j) == JV_KIND_STRING ||
- jv_get_kind(j) == JV_KIND_OBJECT ||
- (jv_get_kind(j) == JV_KIND_INVALID && j.u.ptr != 0)) {
+ if (JVP_IS_ALLOCATED(j)) {
jvp_refcnt_inc(j.u.ptr);
}
return j;
}
void jv_free(jv j) {
- if (jv_get_kind(j) == JV_KIND_ARRAY) {
- jvp_array_free(j);
- } else if (jv_get_kind(j) == JV_KIND_STRING) {
- jvp_string_free(j);
- } else if (jv_get_kind(j) == JV_KIND_OBJECT) {
- jvp_object_free(j);
- } else if (jv_get_kind(j) == JV_KIND_INVALID) {
- jvp_invalid_free(j);
+ switch(JVP_KIND(j)) {
+ case JV_KIND_ARRAY:
+ jvp_array_free(j);
+ break;
+ case JV_KIND_STRING:
+ jvp_string_free(j);
+ break;
+ case JV_KIND_OBJECT:
+ jvp_object_free(j);
+ break;
+ case JV_KIND_INVALID:
+ jvp_invalid_free(j);
+ break;
+ case JV_KIND_NUMBER:
+ jvp_number_free(j);
+ break;
}
}
int jv_get_refcnt(jv j) {
- switch (jv_get_kind(j)) {
- case JV_KIND_ARRAY:
- case JV_KIND_STRING:
- case JV_KIND_OBJECT:
+ if (JVP_IS_ALLOCATED(j)) {
return j.u.ptr->count;
- default:
+ } else {
return 1;
}
}
@@ -1280,14 +1612,17 @@
int r;
if (jv_get_kind(a) != jv_get_kind(b)) {
r = 0;
- } else if (jv_get_kind(a) == JV_KIND_NUMBER) {
- r = jv_number_value(a) == jv_number_value(b);
- } else if (a.kind_flags == b.kind_flags &&
+ } else if (JVP_IS_ALLOCATED(a) &&
+ JVP_IS_ALLOCATED(b) &&
+ a.kind_flags == b.kind_flags &&
a.size == b.size &&
a.u.ptr == b.u.ptr) {
r = 1;
} else {
switch (jv_get_kind(a)) {
+ case JV_KIND_NUMBER:
+ r = jvp_number_equal(a, b);
+ break;
case JV_KIND_ARRAY:
r = jvp_array_equal(a, b);
break;
@@ -1314,18 +1649,10 @@
|| a.size != b.size) {
r = 0;
} else {
- switch (jv_get_kind(a)) {
- case JV_KIND_ARRAY:
- case JV_KIND_STRING:
- case JV_KIND_OBJECT:
+ if (JVP_IS_ALLOCATED(a) /* b has the same flags */) {
r = a.u.ptr == b.u.ptr;
- break;
- case JV_KIND_NUMBER:
- r = memcmp(&a.u.number, &b.u.number, sizeof(a.u.number)) == 0;
- break;
- default:
- r = 1;
- break;
+ } else {
+ r = memcmp(&a.u.ptr, &b.u.ptr, sizeof(a.u)) == 0;
}
}
jv_free(a);
@@ -1337,12 +1664,18 @@
int r = 1;
if (jv_get_kind(a) != jv_get_kind(b)) {
r = 0;
- } else if (jv_get_kind(a) == JV_KIND_OBJECT) {
- r = jv_object_contains(jv_copy(a), jv_copy(b));
- } else if (jv_get_kind(a) == JV_KIND_ARRAY) {
- r = jv_array_contains(jv_copy(a), jv_copy(b));
- } else if (jv_get_kind(a) == JV_KIND_STRING) {
- r = strstr(jv_string_value(a), jv_string_value(b)) != 0;
+ } else if (JVP_HAS_KIND(a, JV_KIND_OBJECT)) {
+ r = jvp_object_contains(a, b);
+ } else if (JVP_HAS_KIND(a, JV_KIND_ARRAY)) {
+ r = jvp_array_contains(a, b);
+ } else if (JVP_HAS_KIND(a, JV_KIND_STRING)) {
+ int b_len = jv_string_length_bytes(jv_copy(b));
+ if (b_len != 0) {
+ r = _jq_memmem(jv_string_value(a), jv_string_length_bytes(jv_copy(a)),
+ jv_string_value(b), b_len) != 0;
+ } else {
+ r = 1;
+ }
} else {
r = jv_equal(jv_copy(a), jv_copy(b));
}
diff -Naur a/src/jv_dtoa_tsd.c b/src/jv_dtoa_tsd.c
--- a/src/jv_dtoa_tsd.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/jv_dtoa_tsd.c 2021-09-29 10:19:48.693843701 -0700
@@ -0,0 +1,46 @@
+#include <stdlib.h>
+#include <stdio.h>
+#include <pthread.h>
+
+#include "jv_dtoa_tsd.h"
+#include "jv_dtoa.h"
+#include "jv_alloc.h"
+
+
+static pthread_key_t dtoa_ctx_key;
+static pthread_once_t dtoa_ctx_once = PTHREAD_ONCE_INIT;
+
+static void tsd_dtoa_ctx_dtor(struct dtoa_context *ctx) {
+ if (ctx) {
+ jvp_dtoa_context_free(ctx);
+ jv_mem_free(ctx);
+ }
+}
+
+static void tsd_dtoa_ctx_fini() {
+ struct dtoa_context *ctx = pthread_getspecific(dtoa_ctx_key);
+ tsd_dtoa_ctx_dtor(ctx);
+ pthread_setspecific(dtoa_ctx_key, NULL);
+}
+
+static void tsd_dtoa_ctx_init() {
+ if (pthread_key_create(&dtoa_ctx_key, tsd_dtoa_ctx_dtor) != 0) {
+ fprintf(stderr, "error: cannot create thread specific key");
+ abort();
+ }
+ atexit(tsd_dtoa_ctx_fini);
+}
+
+inline struct dtoa_context *tsd_dtoa_context_get() {
+ pthread_once(&dtoa_ctx_once, tsd_dtoa_ctx_init); // cannot fail
+ struct dtoa_context *ctx = (struct dtoa_context*)pthread_getspecific(dtoa_ctx_key);
+ if (!ctx) {
+ ctx = malloc(sizeof(struct dtoa_context));
+ jvp_dtoa_context_init(ctx);
+ if (pthread_setspecific(dtoa_ctx_key, ctx) != 0) {
+ fprintf(stderr, "error: cannot set thread specific data");
+ abort();
+ }
+ }
+ return ctx;
+}
\ No newline at end of file
diff -Naur a/src/jv_dtoa_tsd.h b/src/jv_dtoa_tsd.h
--- a/src/jv_dtoa_tsd.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/jv_dtoa_tsd.h 2021-09-29 10:19:48.693843701 -0700
@@ -0,0 +1,4 @@
+#ifndef JV_DTOA_TSD_H
+#define JV_DTOA_TSD_H
+struct dtoa_context *tsd_dtoa_context_get();
+#endif
diff -Naur a/src/jv.h b/src/jv.h
--- a/src/jv.h 2018-11-01 18:49:29.000000000 -0700
+++ b/src/jv.h 2021-09-29 10:19:48.692843695 -0700
@@ -54,16 +54,19 @@
jv jv_invalid_get_msg(jv);
int jv_invalid_has_msg(jv);
-
jv jv_null(void);
jv jv_true(void);
jv jv_false(void);
jv jv_bool(int);
jv jv_number(double);
+jv jv_number_with_literal(const char*);
double jv_number_value(jv);
int jv_is_integer(jv);
+int jv_number_has_literal(jv n);
+const char* jv_number_get_literal(jv);
+
jv jv_array(void);
jv jv_array_sized(int);
int jv_array_length(jv);
diff -Naur a/src/jv_parse.c b/src/jv_parse.c
--- a/src/jv_parse.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/jv_parse.c 2021-09-29 10:19:48.704843762 -0700
@@ -124,14 +124,19 @@
static pfunc value(struct jv_parser* p, jv val) {
if ((p->flags & JV_PARSE_STREAMING)) {
- if (jv_is_valid(p->next) || p->last_seen == JV_LAST_VALUE)
+ if (jv_is_valid(p->next) || p->last_seen == JV_LAST_VALUE) {
+ jv_free(val);
return "Expected separator between values";
+ }
if (p->stacklen > 0)
p->last_seen = JV_LAST_VALUE;
else
p->last_seen = JV_LAST_NONE;
} else {
- if (jv_is_valid(p->next)) return "Expected separator between values";
+ if (jv_is_valid(p->next)) {
+ jv_free(val);
+ return "Expected separator between values";
+ }
}
jv_free(p->next);
p->next = val;
@@ -256,8 +261,12 @@
break;
case ':':
- if (p->stacklen == 0 || jv_get_kind(jv_array_get(jv_copy(p->path), p->stacklen - 1)) == JV_KIND_NUMBER)
+ last = jv_invalid();
+ if (p->stacklen == 0 || jv_get_kind(last = jv_array_get(jv_copy(p->path), p->stacklen - 1)) == JV_KIND_NUMBER) {
+ jv_free(last);
return "':' not as part of an object";
+ }
+ jv_free(last);
if (!jv_is_valid(p->next) || p->last_seen == JV_LAST_NONE)
return "Expected string key before ':'";
if (jv_get_kind(p->next) != JV_KIND_STRING)
@@ -492,11 +501,20 @@
} else {
// FIXME: better parser
p->tokenbuf[p->tokenpos] = 0;
- char* end = 0;
+#ifdef USE_DECNUM
+ jv number = jv_number_with_literal(p->tokenbuf);
+ if (jv_get_kind(number) == JV_KIND_INVALID) {
+ return "Invalid numeric literal";
+ }
+ TRY(value(p, number));
+#else
+ char *end = 0;
double d = jvp_strtod(&p->dtoa, p->tokenbuf, &end);
- if (end == 0 || *end != 0)
+ if (end == 0 || *end != 0) {
return "Invalid numeric literal";
+ }
TRY(value(p, jv_number(d)));
+#endif
}
p->tokenpos = 0;
return 0;
diff -Naur a/src/jv_print.c b/src/jv_print.c
--- a/src/jv_print.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/jv_print.c 2021-09-29 10:19:48.704843762 -0700
@@ -11,8 +11,10 @@
#include "jv.h"
#include "jv_dtoa.h"
+#include "jv_dtoa_tsd.h"
#include "jv_unicode.h"
#include "jv_alloc.h"
+#include "jv_type_private.h"
#ifndef MAX_PRINT_DEPTH
#define MAX_PRINT_DEPTH (256)
@@ -229,16 +231,29 @@
put_str("true", F, S, flags & JV_PRINT_ISATTY);
break;
case JV_KIND_NUMBER: {
- double d = jv_number_value(x);
- if (d != d) {
- // JSON doesn't have NaN, so we'll render it as "null"
- put_str("null", F, S, flags & JV_PRINT_ISATTY);
+ if (jvp_number_is_nan(x)) {
+ jv_dump_term(C, jv_null(), flags, indent, F, S);
} else {
- // Normalise infinities to something we can print in valid JSON
- if (d > DBL_MAX) d = DBL_MAX;
- if (d < -DBL_MAX) d = -DBL_MAX;
- put_str(jvp_dtoa_fmt(C, buf, d), F, S, flags & JV_PRINT_ISATTY);
+#ifdef USE_DECNUM
+ const char * literal_data = jv_number_get_literal(x);
+ if (literal_data) {
+ put_str(literal_data, F, S, flags & JV_PRINT_ISATTY);
+ } else {
+#endif
+ double d = jv_number_value(x);
+ if (d != d) {
+ // JSON doesn't have NaN, so we'll render it as "null"
+ put_str("null", F, S, flags & JV_PRINT_ISATTY);
+ } else {
+ // Normalise infinities to something we can print in valid JSON
+ if (d > DBL_MAX) d = DBL_MAX;
+ if (d < -DBL_MAX) d = -DBL_MAX;
+ put_str(jvp_dtoa_fmt(C, buf, d), F, S, flags & JV_PRINT_ISATTY);
+ }
+ }
+#ifdef USE_DECNUM
}
+#endif
break;
}
case JV_KIND_STRING:
@@ -357,10 +372,7 @@
}
void jv_dumpf(jv x, FILE *f, int flags) {
- struct dtoa_context C;
- jvp_dtoa_context_init(&C);
- jv_dump_term(&C, x, flags, 0, f, 0);
- jvp_dtoa_context_free(&C);
+ jv_dump_term(tsd_dtoa_context_get(), x, flags, 0, f, 0);
}
void jv_dump(jv x, int flags) {
@@ -376,11 +388,8 @@
}
jv jv_dump_string(jv x, int flags) {
- struct dtoa_context C;
- jvp_dtoa_context_init(&C);
jv s = jv_string("");
- jv_dump_term(&C, x, flags, 0, 0, &s);
- jvp_dtoa_context_free(&C);
+ jv_dump_term(tsd_dtoa_context_get(), x, flags, 0, 0, &s);
return s;
}
diff -Naur a/src/jv_type_private.h b/src/jv_type_private.h
--- a/src/jv_type_private.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/jv_type_private.h 2021-09-29 10:19:48.694843706 -0700
@@ -0,0 +1,7 @@
+#ifndef JV_TYPE_PRIVATE
+#define JV_TYPE_PRIVATE
+
+int jvp_number_cmp(jv, jv);
+int jvp_number_is_nan(jv);
+
+#endif //JV_TYPE_PRIVATE
diff -Naur a/src/parser.c b/src/parser.c
--- a/src/parser.c 2018-11-01 18:49:29.000000000 -0700
+++ b/src/parser.c 2021-09-29 10:19:48.696843717 -0700
@@ -1,8 +1,9 @@
-/* A Bison parser, made by GNU Bison 3.0.4. */
+/* A Bison parser, made by GNU Bison 3.3.2. */
/* Bison implementation for Yacc-like parsers in C
- Copyright (C) 1984, 1989-1990, 2000-2015 Free Software Foundation, Inc.
+ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2019 Free Software Foundation,
+ Inc.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
@@ -40,11 +41,14 @@
define necessary library symbols; they are noted "INFRINGES ON
USER NAME SPACE" below. */
+/* Undocumented macros, especially those whose name start with YY_,
+ are private implementation details. Do not rely on them. */
+
/* Identify Bison output. */
#define YYBISON 1
/* Bison version. */
-#define YYBISON_VERSION "3.0.4"
+#define YYBISON_VERSION "3.3.2"
/* Skeleton name. */
#define YYSKELETON_NAME "yacc.c"
@@ -61,8 +65,8 @@
-/* Copy the first part of user declarations. */
-#line 1 "src/parser.y" /* yacc.c:339 */
+/* First part of user prologue. */
+#line 1 "src/parser.y" /* yacc.c:337 */
#include <assert.h>
#include <math.h>
@@ -73,13 +77,16 @@
#define YYMALLOC jv_mem_alloc
#define YYFREE jv_mem_free
-#line 77 "src/parser.c" /* yacc.c:339 */
-
+#line 81 "src/parser.c" /* yacc.c:337 */
# ifndef YY_NULLPTR
-# if defined __cplusplus && 201103L <= __cplusplus
-# define YY_NULLPTR nullptr
+# if defined __cplusplus
+# if 201103L <= __cplusplus
+# define YY_NULLPTR nullptr
+# else
+# define YY_NULLPTR 0
+# endif
# else
-# define YY_NULLPTR 0
+# define YY_NULLPTR ((void*)0)
# endif
# endif
@@ -103,7 +110,7 @@
extern int yydebug;
#endif
/* "%code requires" blocks. */
-#line 11 "src/parser.y" /* yacc.c:355 */
+#line 11 "src/parser.y" /* yacc.c:352 */
#include "locfile.h"
struct lexer_param;
@@ -120,7 +127,7 @@
} \
} while (0)
-#line 124 "src/parser.c" /* yacc.c:355 */
+#line 131 "src/parser.c" /* yacc.c:352 */
/* Token type. */
#ifndef YYTOKENTYPE
@@ -226,12 +233,12 @@
union YYSTYPE
{
-#line 31 "src/parser.y" /* yacc.c:355 */
+#line 31 "src/parser.y" /* yacc.c:352 */
jv literal;
block blk;
-#line 235 "src/parser.c" /* yacc.c:355 */
+#line 242 "src/parser.c" /* yacc.c:352 */
};
typedef union YYSTYPE YYSTYPE;
@@ -259,8 +266,8 @@
#endif /* !YY_YY_SRC_PARSER_H_INCLUDED */
-/* Copy the second part of user declarations. */
-#line 124 "src/parser.y" /* yacc.c:358 */
+/* Second part of user prologue. */
+#line 124 "src/parser.y" /* yacc.c:354 */
#include "lexer.h"
struct lexer_param {
@@ -312,7 +319,7 @@
char errbuf[15];
return jv_string_fmt("Cannot use %s (%s) as object key",
jv_kind_name(block_const_kind(k)),
- jv_dump_string_trunc(jv_copy(block_const(k)), errbuf, sizeof(errbuf)));
+ jv_dump_string_trunc(block_const(k), errbuf, sizeof(errbuf)));
}
return jv_invalid();
}
@@ -356,19 +363,25 @@
jv res = jv_invalid();
if (block_const_kind(a) == JV_KIND_NUMBER) {
- double na = jv_number_value(block_const(a));
- double nb = jv_number_value(block_const(b));
+ jv jv_a = block_const(a);
+ jv jv_b = block_const(b);
+
+ double na = jv_number_value(jv_a);
+ double nb = jv_number_value(jv_b);
+
+ int cmp = jv_cmp(jv_a, jv_b);
+
switch (op) {
case '+': res = jv_number(na + nb); break;
case '-': res = jv_number(na - nb); break;
case '*': res = jv_number(na * nb); break;
case '/': res = jv_number(na / nb); break;
- case EQ: res = (na == nb ? jv_true() : jv_false()); break;
- case NEQ: res = (na != nb ? jv_true() : jv_false()); break;
- case '<': res = (na < nb ? jv_true() : jv_false()); break;
- case '>': res = (na > nb ? jv_true() : jv_false()); break;
- case LESSEQ: res = (na <= nb ? jv_true() : jv_false()); break;
- case GREATEREQ: res = (na >= nb ? jv_true() : jv_false()); break;
+ case EQ: res = (cmp == 0 ? jv_true() : jv_false()); break;
+ case NEQ: res = (cmp != 0 ? jv_true() : jv_false()); break;
+ case '<': res = (cmp < 0 ? jv_true() : jv_false()); break;
+ case '>': res = (cmp > 0 ? jv_true() : jv_false()); break;
+ case LESSEQ: res = (cmp <= 0 ? jv_true() : jv_false()); break;
+ case GREATEREQ: res = (cmp >= 0 ? jv_true() : jv_false()); break;
default: break;
}
} else if (op == '+' && block_const_kind(a) == JV_KIND_STRING) {
@@ -434,7 +447,7 @@
}
-#line 438 "src/parser.c" /* yacc.c:358 */
+#line 451 "src/parser.c" /* yacc.c:354 */
#ifdef short
# undef short
@@ -455,13 +468,13 @@
#ifdef YYTYPE_UINT16
typedef YYTYPE_UINT16 yytype_uint16;
#else
-typedef unsigned short int yytype_uint16;
+typedef unsigned short yytype_uint16;
#endif
#ifdef YYTYPE_INT16
typedef YYTYPE_INT16 yytype_int16;
#else
-typedef short int yytype_int16;
+typedef short yytype_int16;
#endif
#ifndef YYSIZE_T
@@ -473,7 +486,7 @@
# include <stddef.h> /* INFRINGES ON USER NAME SPACE */
# define YYSIZE_T size_t
# else
-# define YYSIZE_T unsigned int
+# define YYSIZE_T unsigned
# endif
#endif
@@ -509,15 +522,6 @@
# define YY_ATTRIBUTE_UNUSED YY_ATTRIBUTE ((__unused__))
#endif
-#if !defined _Noreturn \
- && (!defined __STDC_VERSION__ || __STDC_VERSION__ < 201112)
-# if defined _MSC_VER && 1200 <= _MSC_VER
-# define _Noreturn __declspec (noreturn)
-# else
-# define _Noreturn YY_ATTRIBUTE ((__noreturn__))
-# endif
-#endif
-
/* Suppress unused-variable warnings by "using" E. */
#if ! defined lint || defined __GNUC__
# define YYUSE(E) ((void) (E))
@@ -525,7 +529,7 @@
# define YYUSE(E) /* empty */
#endif
-#if defined __GNUC__ && 407 <= __GNUC__ * 100 + __GNUC_MINOR__
+#if defined __GNUC__ && ! defined __ICC && 407 <= __GNUC__ * 100 + __GNUC_MINOR__
/* Suppress an incorrect diagnostic about yylval being uninitialized. */
# define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN \
_Pragma ("GCC diagnostic push") \
@@ -689,16 +693,16 @@
/* YYNSTATES -- Number of states. */
#define YYNSTATES 313
-/* YYTRANSLATE[YYX] -- Symbol number corresponding to YYX as returned
- by yylex, with out-of-bounds checking. */
#define YYUNDEFTOK 2
#define YYMAXUTOK 302
+/* YYTRANSLATE(TOKEN-NUM) -- Symbol number corresponding to TOKEN-NUM
+ as returned by yylex, with out-of-bounds checking. */
#define YYTRANSLATE(YYX) \
- ((unsigned int) (YYX) <= YYMAXUTOK ? yytranslate[YYX] : YYUNDEFTOK)
+ ((unsigned) (YYX) <= YYMAXUTOK ? yytranslate[YYX] : YYUNDEFTOK)
/* YYTRANSLATE[TOKEN-NUM] -- Symbol number corresponding to TOKEN-NUM
- as returned by yylex, without out-of-bounds checking. */
+ as returned by yylex. */
static const yytype_uint8 yytranslate[] =
{
0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
@@ -1402,22 +1406,22 @@
#define YYRECOVERING() (!!yyerrstatus)
-#define YYBACKUP(Token, Value) \
-do \
- if (yychar == YYEMPTY) \
- { \
- yychar = (Token); \
- yylval = (Value); \
- YYPOPSTACK (yylen); \
- yystate = *yyssp; \
- goto yybackup; \
- } \
- else \
- { \
- yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("syntax error: cannot back up")); \
- YYERROR; \
- } \
-while (0)
+#define YYBACKUP(Token, Value) \
+ do \
+ if (yychar == YYEMPTY) \
+ { \
+ yychar = (Token); \
+ yylval = (Value); \
+ YYPOPSTACK (yylen); \
+ yystate = *yyssp; \
+ goto yybackup; \
+ } \
+ else \
+ { \
+ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("syntax error: cannot back up")); \
+ YYERROR; \
+ } \
+ while (0)
/* Error token number */
#define YYTERROR 1
@@ -1476,10 +1480,10 @@
/* Print *YYLOCP on YYO. Private, do not rely on its existence. */
YY_ATTRIBUTE_UNUSED
-static unsigned
+static int
yy_location_print_ (FILE *yyo, YYLTYPE const * const yylocp)
{
- unsigned res = 0;
+ int res = 0;
int end_col = 0 != yylocp->last_column ? yylocp->last_column - 1 : 0;
if (0 <= yylocp->first_line)
{
@@ -1522,15 +1526,15 @@
} while (0)
-/*----------------------------------------.
-| Print this symbol's value on YYOUTPUT. |
-`----------------------------------------*/
+/*-----------------------------------.
+| Print this symbol's value on YYO. |
+`-----------------------------------*/
static void
-yy_symbol_value_print (FILE *yyoutput, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
+yy_symbol_value_print (FILE *yyo, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
{
- FILE *yyo = yyoutput;
- YYUSE (yyo);
+ FILE *yyoutput = yyo;
+ YYUSE (yyoutput);
YYUSE (yylocationp);
YYUSE (answer);
YYUSE (errors);
@@ -1540,26 +1544,26 @@
return;
# ifdef YYPRINT
if (yytype < YYNTOKENS)
- YYPRINT (yyoutput, yytoknum[yytype], *yyvaluep);
+ YYPRINT (yyo, yytoknum[yytype], *yyvaluep);
# endif
YYUSE (yytype);
}
-/*--------------------------------.
-| Print this symbol on YYOUTPUT. |
-`--------------------------------*/
+/*---------------------------.
+| Print this symbol on YYO. |
+`---------------------------*/
static void
-yy_symbol_print (FILE *yyoutput, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
+yy_symbol_print (FILE *yyo, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
{
- YYFPRINTF (yyoutput, "%s %s (",
+ YYFPRINTF (yyo, "%s %s (",
yytype < YYNTOKENS ? "token" : "nterm", yytname[yytype]);
- YY_LOCATION_PRINT (yyoutput, *yylocationp);
- YYFPRINTF (yyoutput, ": ");
- yy_symbol_value_print (yyoutput, yytype, yyvaluep, yylocationp, answer, errors, locations, lexer_param_ptr);
- YYFPRINTF (yyoutput, ")");
+ YY_LOCATION_PRINT (yyo, *yylocationp);
+ YYFPRINTF (yyo, ": ");
+ yy_symbol_value_print (yyo, yytype, yyvaluep, yylocationp, answer, errors, locations, lexer_param_ptr);
+ YYFPRINTF (yyo, ")");
}
/*------------------------------------------------------------------.
@@ -1593,7 +1597,7 @@
static void
yy_reduce_print (yytype_int16 *yyssp, YYSTYPE *yyvsp, YYLTYPE *yylsp, int yyrule, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
{
- unsigned long int yylno = yyrline[yyrule];
+ unsigned long yylno = yyrline[yyrule];
int yynrhs = yyr2[yyrule];
int yyi;
YYFPRINTF (stderr, "Reducing stack by rule %d (line %lu):\n",
@@ -1604,7 +1608,7 @@
YYFPRINTF (stderr, " $%d = ", yyi + 1);
yy_symbol_print (stderr,
yystos[yyssp[yyi + 1 - yynrhs]],
- &(yyvsp[(yyi + 1) - (yynrhs)])
+ &yyvsp[(yyi + 1) - (yynrhs)]
, &(yylsp[(yyi + 1) - (yynrhs)]) , answer, errors, locations, lexer_param_ptr);
YYFPRINTF (stderr, "\n");
}
@@ -1708,7 +1712,10 @@
case '\\':
if (*++yyp != '\\')
goto do_not_strip_quotes;
- /* Fall through. */
+ else
+ goto append;
+
+ append:
default:
if (yyres)
yyres[yyn] = *yyp;
@@ -1726,7 +1733,7 @@
if (! yyres)
return yystrlen (yystr);
- return yystpcpy (yyres, yystr) - yyres;
+ return (YYSIZE_T) (yystpcpy (yyres, yystr) - yyres);
}
# endif
@@ -1804,10 +1811,10 @@
yyarg[yycount++] = yytname[yyx];
{
YYSIZE_T yysize1 = yysize + yytnamerr (YY_NULLPTR, yytname[yyx]);
- if (! (yysize <= yysize1
- && yysize1 <= YYSTACK_ALLOC_MAXIMUM))
+ if (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM)
+ yysize = yysize1;
+ else
return 2;
- yysize = yysize1;
}
}
}
@@ -1819,6 +1826,7 @@
case N: \
yyformat = S; \
break
+ default: /* Avoid compiler warnings. */
YYCASE_(0, YY_("syntax error"));
YYCASE_(1, YY_("syntax error, unexpected %s"));
YYCASE_(2, YY_("syntax error, unexpected %s, expecting %s"));
@@ -1830,9 +1838,10 @@
{
YYSIZE_T yysize1 = yysize + yystrlen (yyformat);
- if (! (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM))
+ if (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM)
+ yysize = yysize1;
+ else
return 2;
- yysize = yysize1;
}
if (*yymsg_alloc < yysize)
@@ -2178,23 +2187,31 @@
yylsp[0] = yylloc;
goto yysetstate;
+
/*------------------------------------------------------------.
-| yynewstate -- Push a new state, which is found in yystate. |
+| yynewstate -- push a new state, which is found in yystate. |
`------------------------------------------------------------*/
- yynewstate:
+yynewstate:
/* In all cases, when you get here, the value and location stacks
have just been pushed. So pushing a state here evens the stacks. */
yyssp++;
- yysetstate:
- *yyssp = yystate;
+
+/*--------------------------------------------------------------------.
+| yynewstate -- set current state (the top of the stack) to yystate. |
+`--------------------------------------------------------------------*/
+yysetstate:
+ *yyssp = (yytype_int16) yystate;
if (yyss + yystacksize - 1 <= yyssp)
+#if !defined yyoverflow && !defined YYSTACK_RELOCATE
+ goto yyexhaustedlab;
+#else
{
/* Get the current used size of the three stacks, in elements. */
- YYSIZE_T yysize = yyssp - yyss + 1;
+ YYSIZE_T yysize = (YYSIZE_T) (yyssp - yyss + 1);
-#ifdef yyoverflow
+# if defined yyoverflow
{
/* Give user a chance to reallocate the stack. Use copies of
these so that the &'s don't force the real ones into
@@ -2212,15 +2229,11 @@
&yyvs1, yysize * sizeof (*yyvsp),
&yyls1, yysize * sizeof (*yylsp),
&yystacksize);
-
- yyls = yyls1;
yyss = yyss1;
yyvs = yyvs1;
+ yyls = yyls1;
}
-#else /* no yyoverflow */
-# ifndef YYSTACK_RELOCATE
- goto yyexhaustedlab;
-# else
+# else /* defined YYSTACK_RELOCATE */
/* Extend the stack our own way. */
if (YYMAXDEPTH <= yystacksize)
goto yyexhaustedlab;
@@ -2237,23 +2250,23 @@
YYSTACK_RELOCATE (yyss_alloc, yyss);
YYSTACK_RELOCATE (yyvs_alloc, yyvs);
YYSTACK_RELOCATE (yyls_alloc, yyls);
-# undef YYSTACK_RELOCATE
+# undef YYSTACK_RELOCATE
if (yyss1 != yyssa)
YYSTACK_FREE (yyss1);
}
# endif
-#endif /* no yyoverflow */
yyssp = yyss + yysize - 1;
yyvsp = yyvs + yysize - 1;
yylsp = yyls + yysize - 1;
YYDPRINTF ((stderr, "Stack size increased to %lu\n",
- (unsigned long int) yystacksize));
+ (unsigned long) yystacksize));
if (yyss + yystacksize - 1 <= yyssp)
YYABORT;
}
+#endif /* !defined yyoverflow && !defined YYSTACK_RELOCATE */
YYDPRINTF ((stderr, "Entering state %d\n", yystate));
@@ -2262,11 +2275,11 @@
goto yybackup;
+
/*-----------.
| yybackup. |
`-----------*/
yybackup:
-
/* Do appropriate processing given the current state. Read a
lookahead token if we need one and don't already have one. */
@@ -2339,7 +2352,7 @@
/*-----------------------------.
-| yyreduce -- Do a reduction. |
+| yyreduce -- do a reduction. |
`-----------------------------*/
yyreduce:
/* yyn is the number of a rule to reduce with. */
@@ -3753,14 +3766,13 @@
/* Now 'shift' the result of the reduction. Determine what state
that goes to, based on the state we popped back to and the rule
number reduced by. */
-
- yyn = yyr1[yyn];
-
- yystate = yypgoto[yyn - YYNTOKENS] + *yyssp;
- if (0 <= yystate && yystate <= YYLAST && yycheck[yystate] == *yyssp)
- yystate = yytable[yystate];
- else
- yystate = yydefgoto[yyn - YYNTOKENS];
+ {
+ const int yylhs = yyr1[yyn] - YYNTOKENS;
+ const int yyi = yypgoto[yylhs] + *yyssp;
+ yystate = (0 <= yyi && yyi <= YYLAST && yycheck[yyi] == *yyssp
+ ? yytable[yyi]
+ : yydefgoto[yylhs]);
+ }
goto yynewstate;
@@ -3843,14 +3855,11 @@
| yyerrorlab -- error raised explicitly by YYERROR. |
`---------------------------------------------------*/
yyerrorlab:
+ /* Pacify compilers when the user code never invokes YYERROR and the
+ label yyerrorlab therefore never appears in user code. */
+ if (0)
+ YYERROR;
- /* Pacify compilers like GCC when the user code never invokes
- YYERROR and the label yyerrorlab therefore never appears in user
- code. */
- if (/*CONSTCOND*/ 0)
- goto yyerrorlab;
-
- yyerror_range[1] = yylsp[1-yylen];
/* Do not reclaim the symbols of the rule whose action triggered
this YYERROR. */
YYPOPSTACK (yylen);
@@ -3916,6 +3925,7 @@
yyresult = 0;
goto yyreturn;
+
/*-----------------------------------.
| yyabortlab -- YYABORT comes here. |
`-----------------------------------*/
@@ -3923,6 +3933,7 @@
yyresult = 1;
goto yyreturn;
+
#if !defined yyoverflow || YYERROR_VERBOSE
/*-------------------------------------------------.
| yyexhaustedlab -- memory exhaustion comes here. |
@@ -3933,6 +3944,10 @@
/* Fall through. */
#endif
+
+/*-----------------------------------------------------.
+| yyreturn -- parsing is finished, return the result. |
+`-----------------------------------------------------*/
yyreturn:
if (yychar != YYEMPTY)
{
diff -Naur a/src/parser.h b/src/parser.h
--- a/src/parser.h 2018-11-01 18:49:29.000000000 -0700
+++ b/src/parser.h 2021-09-29 10:19:48.696843717 -0700
@@ -1,8 +1,9 @@
-/* A Bison parser, made by GNU Bison 3.0.4. */
+/* A Bison parser, made by GNU Bison 3.3.2. */
/* Bison interface for Yacc-like parsers in C
- Copyright (C) 1984, 1989-1990, 2000-2015 Free Software Foundation, Inc.
+ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2019 Free Software Foundation,
+ Inc.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
@@ -30,6 +31,9 @@
This special exception was added by the Free Software Foundation in
version 2.2 of Bison. */
+/* Undocumented macros, especially those whose name start with YY_,
+ are private implementation details. Do not rely on them. */
+
#ifndef YY_YY_SRC_PARSER_H_INCLUDED
# define YY_YY_SRC_PARSER_H_INCLUDED
/* Debug traces. */
@@ -40,7 +44,7 @@
extern int yydebug;
#endif
/* "%code requires" blocks. */
-#line 11 "src/parser.y" /* yacc.c:1909 */
+#line 11 "src/parser.y" /* yacc.c:1927 */
#include "locfile.h"
struct lexer_param;
@@ -57,7 +61,7 @@
} \
} while (0)
-#line 61 "src/parser.h" /* yacc.c:1909 */
+#line 65 "src/parser.h" /* yacc.c:1927 */
/* Token type. */
#ifndef YYTOKENTYPE
@@ -163,12 +167,12 @@
union YYSTYPE
{
-#line 31 "src/parser.y" /* yacc.c:1909 */
+#line 31 "src/parser.y" /* yacc.c:1927 */
jv literal;
block blk;
-#line 172 "src/parser.h" /* yacc.c:1909 */
+#line 176 "src/parser.h" /* yacc.c:1927 */
};
typedef union YYSTYPE YYSTYPE;
diff -Naur a/src/parser.y b/src/parser.y
--- a/src/parser.y 2018-11-01 18:49:29.000000000 -0700
+++ b/src/parser.y 2021-09-29 10:19:48.697843723 -0700
@@ -172,7 +172,7 @@
char errbuf[15];
return jv_string_fmt("Cannot use %s (%s) as object key",
jv_kind_name(block_const_kind(k)),
- jv_dump_string_trunc(jv_copy(block_const(k)), errbuf, sizeof(errbuf)));
+ jv_dump_string_trunc(block_const(k), errbuf, sizeof(errbuf)));
}
return jv_invalid();
}
@@ -216,19 +216,25 @@
jv res = jv_invalid();
if (block_const_kind(a) == JV_KIND_NUMBER) {
- double na = jv_number_value(block_const(a));
- double nb = jv_number_value(block_const(b));
+ jv jv_a = block_const(a);
+ jv jv_b = block_const(b);
+
+ double na = jv_number_value(jv_a);
+ double nb = jv_number_value(jv_b);
+
+ int cmp = jv_cmp(jv_a, jv_b);
+
switch (op) {
case '+': res = jv_number(na + nb); break;
case '-': res = jv_number(na - nb); break;
case '*': res = jv_number(na * nb); break;
case '/': res = jv_number(na / nb); break;
- case EQ: res = (na == nb ? jv_true() : jv_false()); break;
- case NEQ: res = (na != nb ? jv_true() : jv_false()); break;
- case '<': res = (na < nb ? jv_true() : jv_false()); break;
- case '>': res = (na > nb ? jv_true() : jv_false()); break;
- case LESSEQ: res = (na <= nb ? jv_true() : jv_false()); break;
- case GREATEREQ: res = (na >= nb ? jv_true() : jv_false()); break;
+ case EQ: res = (cmp == 0 ? jv_true() : jv_false()); break;
+ case NEQ: res = (cmp != 0 ? jv_true() : jv_false()); break;
+ case '<': res = (cmp < 0 ? jv_true() : jv_false()); break;
+ case '>': res = (cmp > 0 ? jv_true() : jv_false()); break;
+ case LESSEQ: res = (cmp <= 0 ? jv_true() : jv_false()); break;
+ case GREATEREQ: res = (cmp >= 0 ? jv_true() : jv_false()); break;
default: break;
}
} else if (op == '+' && block_const_kind(a) == JV_KIND_STRING) {
diff -Naur a/src/y.tab.c b/src/y.tab.c
--- a/src/y.tab.c 1969-12-31 16:00:00.000000000 -0800
+++ b/src/y.tab.c 2021-09-29 10:27:07.828282081 -0700
@@ -0,0 +1,4265 @@
+/* A Bison parser, made by GNU Bison 3.7.4. */
+
+/* Bison implementation for Yacc-like parsers in C
+
+ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2020 Free Software Foundation,
+ Inc.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see <http://www.gnu.org/licenses/>. */
+
+/* As a special exception, you may create a larger work that contains
+ part or all of the Bison parser skeleton and distribute that work
+ under terms of your choice, so long as that work isn't itself a
+ parser generator using the skeleton or a modified version thereof
+ as a parser skeleton. Alternatively, if you modify or redistribute
+ the parser skeleton itself, you may (at your option) remove this
+ special exception, which will cause the skeleton and the resulting
+ Bison output files to be licensed under the GNU General Public
+ License without this special exception.
+
+ This special exception was added by the Free Software Foundation in
+ version 2.2 of Bison. */
+
+/* C LALR(1) parser skeleton written by Richard Stallman, by
+ simplifying the original so-called "semantic" parser. */
+
+/* DO NOT RELY ON FEATURES THAT ARE NOT DOCUMENTED in the manual,
+ especially those whose name start with YY_ or yy_. They are
+ private implementation details that can be changed or removed. */
+
+/* All symbols defined below should begin with yy or YY, to avoid
+ infringing on user name space. This should be done even for local
+ variables, as they might otherwise be expanded by user macros.
+ There are some unavoidable exceptions within include files to
+ define necessary library symbols; they are noted "INFRINGES ON
+ USER NAME SPACE" below. */
+
+/* Identify Bison output, and Bison version. */
+#define YYBISON 30704
+
+/* Bison version string. */
+#define YYBISON_VERSION "3.7.4"
+
+/* Skeleton name. */
+#define YYSKELETON_NAME "yacc.c"
+
+/* Pure parsers. */
+#define YYPURE 1
+
+/* Push parsers. */
+#define YYPUSH 0
+
+/* Pull parsers. */
+#define YYPULL 1
+
+
+
+
+/* First part of user prologue. */
+#line 1 "parser.y"
+
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include <string.h>
+#include "compile.h"
+#include "jv_alloc.h"
+#define YYMALLOC jv_mem_alloc
+#define YYFREE jv_mem_free
+
+#line 82 "y.tab.c"
+
+# ifndef YY_CAST
+# ifdef __cplusplus
+# define YY_CAST(Type, Val) static_cast<Type> (Val)
+# define YY_REINTERPRET_CAST(Type, Val) reinterpret_cast<Type> (Val)
+# else
+# define YY_CAST(Type, Val) ((Type) (Val))
+# define YY_REINTERPRET_CAST(Type, Val) ((Type) (Val))
+# endif
+# endif
+# ifndef YY_NULLPTR
+# if defined __cplusplus
+# if 201103L <= __cplusplus
+# define YY_NULLPTR nullptr
+# else
+# define YY_NULLPTR 0
+# endif
+# else
+# define YY_NULLPTR ((void*)0)
+# endif
+# endif
+
+/* Use api.header.include to #include this header
+ instead of duplicating it here. */
+#ifndef YY_YY_Y_TAB_H_INCLUDED
+# define YY_YY_Y_TAB_H_INCLUDED
+/* Debug traces. */
+#ifndef YYDEBUG
+# define YYDEBUG 0
+#endif
+#if YYDEBUG
+extern int yydebug;
+#endif
+/* "%code requires" blocks. */
+#line 11 "parser.y"
+
+#include "locfile.h"
+struct lexer_param;
+
+#define YYLTYPE location
+#define YYLLOC_DEFAULT(Loc, Rhs, N) \
+ do { \
+ if (N) { \
+ (Loc).start = YYRHSLOC(Rhs, 1).start; \
+ (Loc).end = YYRHSLOC(Rhs, N).end; \
+ } else { \
+ (Loc).start = YYRHSLOC(Rhs, 0).end; \
+ (Loc).end = YYRHSLOC(Rhs, 0).end; \
+ } \
+ } while (0)
+
+#line 134 "y.tab.c"
+
+/* Token kinds. */
+#ifndef YYTOKENTYPE
+# define YYTOKENTYPE
+ enum yytokentype
+ {
+ YYEMPTY = -2,
+ YYEOF = 0, /* "end of file" */
+ YYerror = 256, /* error */
+ YYUNDEF = 257, /* "invalid token" */
+ INVALID_CHARACTER = 258, /* INVALID_CHARACTER */
+ IDENT = 259, /* IDENT */
+ FIELD = 260, /* FIELD */
+ LITERAL = 261, /* LITERAL */
+ FORMAT = 262, /* FORMAT */
+ REC = 263, /* ".." */
+ SETMOD = 264, /* "%=" */
+ EQ = 265, /* "==" */
+ NEQ = 266, /* "!=" */
+ DEFINEDOR = 267, /* "//" */
+ AS = 268, /* "as" */
+ DEF = 269, /* "def" */
+ MODULE = 270, /* "module" */
+ IMPORT = 271, /* "import" */
+ INCLUDE = 272, /* "include" */
+ IF = 273, /* "if" */
+ THEN = 274, /* "then" */
+ ELSE = 275, /* "else" */
+ ELSE_IF = 276, /* "elif" */
+ REDUCE = 277, /* "reduce" */
+ FOREACH = 278, /* "foreach" */
+ END = 279, /* "end" */
+ AND = 280, /* "and" */
+ OR = 281, /* "or" */
+ TRY = 282, /* "try" */
+ CATCH = 283, /* "catch" */
+ LABEL = 284, /* "label" */
+ BREAK = 285, /* "break" */
+ LOC = 286, /* "__loc__" */
+ SETPIPE = 287, /* "|=" */
+ SETPLUS = 288, /* "+=" */
+ SETMINUS = 289, /* "-=" */
+ SETMULT = 290, /* "*=" */
+ SETDIV = 291, /* "/=" */
+ SETDEFINEDOR = 292, /* "//=" */
+ LESSEQ = 293, /* "<=" */
+ GREATEREQ = 294, /* ">=" */
+ ALTERNATION = 295, /* "?//" */
+ QQSTRING_START = 296, /* QQSTRING_START */
+ QQSTRING_TEXT = 297, /* QQSTRING_TEXT */
+ QQSTRING_INTERP_START = 298, /* QQSTRING_INTERP_START */
+ QQSTRING_INTERP_END = 299, /* QQSTRING_INTERP_END */
+ QQSTRING_END = 300, /* QQSTRING_END */
+ FUNCDEF = 301, /* FUNCDEF */
+ NONOPT = 302 /* NONOPT */
+ };
+ typedef enum yytokentype yytoken_kind_t;
+#endif
+/* Token kinds. */
+#define YYEMPTY -2
+#define YYEOF 0
+#define YYerror 256
+#define YYUNDEF 257
+#define INVALID_CHARACTER 258
+#define IDENT 259
+#define FIELD 260
+#define LITERAL 261
+#define FORMAT 262
+#define REC 263
+#define SETMOD 264
+#define EQ 265
+#define NEQ 266
+#define DEFINEDOR 267
+#define AS 268
+#define DEF 269
+#define MODULE 270
+#define IMPORT 271
+#define INCLUDE 272
+#define IF 273
+#define THEN 274
+#define ELSE 275
+#define ELSE_IF 276
+#define REDUCE 277
+#define FOREACH 278
+#define END 279
+#define AND 280
+#define OR 281
+#define TRY 282
+#define CATCH 283
+#define LABEL 284
+#define BREAK 285
+#define LOC 286
+#define SETPIPE 287
+#define SETPLUS 288
+#define SETMINUS 289
+#define SETMULT 290
+#define SETDIV 291
+#define SETDEFINEDOR 292
+#define LESSEQ 293
+#define GREATEREQ 294
+#define ALTERNATION 295
+#define QQSTRING_START 296
+#define QQSTRING_TEXT 297
+#define QQSTRING_INTERP_START 298
+#define QQSTRING_INTERP_END 299
+#define QQSTRING_END 300
+#define FUNCDEF 301
+#define NONOPT 302
+
+/* Value type. */
+#if ! defined YYSTYPE && ! defined YYSTYPE_IS_DECLARED
+union YYSTYPE
+{
+#line 31 "parser.y"
+
+ jv literal;
+ block blk;
+
+#line 253 "y.tab.c"
+
+};
+typedef union YYSTYPE YYSTYPE;
+# define YYSTYPE_IS_TRIVIAL 1
+# define YYSTYPE_IS_DECLARED 1
+#endif
+
+/* Location type. */
+#if ! defined YYLTYPE && ! defined YYLTYPE_IS_DECLARED
+typedef struct YYLTYPE YYLTYPE;
+struct YYLTYPE
+{
+ int first_line;
+ int first_column;
+ int last_line;
+ int last_column;
+};
+# define YYLTYPE_IS_DECLARED 1
+# define YYLTYPE_IS_TRIVIAL 1
+#endif
+
+
+
+int yyparse (block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr);
+
+#endif /* !YY_YY_Y_TAB_H_INCLUDED */
+/* Symbol kind. */
+enum yysymbol_kind_t
+{
+ YYSYMBOL_YYEMPTY = -2,
+ YYSYMBOL_YYEOF = 0, /* "end of file" */
+ YYSYMBOL_YYerror = 1, /* error */
+ YYSYMBOL_YYUNDEF = 2, /* "invalid token" */
+ YYSYMBOL_INVALID_CHARACTER = 3, /* INVALID_CHARACTER */
+ YYSYMBOL_IDENT = 4, /* IDENT */
+ YYSYMBOL_FIELD = 5, /* FIELD */
+ YYSYMBOL_LITERAL = 6, /* LITERAL */
+ YYSYMBOL_FORMAT = 7, /* FORMAT */
+ YYSYMBOL_REC = 8, /* ".." */
+ YYSYMBOL_SETMOD = 9, /* "%=" */
+ YYSYMBOL_EQ = 10, /* "==" */
+ YYSYMBOL_NEQ = 11, /* "!=" */
+ YYSYMBOL_DEFINEDOR = 12, /* "//" */
+ YYSYMBOL_AS = 13, /* "as" */
+ YYSYMBOL_DEF = 14, /* "def" */
+ YYSYMBOL_MODULE = 15, /* "module" */
+ YYSYMBOL_IMPORT = 16, /* "import" */
+ YYSYMBOL_INCLUDE = 17, /* "include" */
+ YYSYMBOL_IF = 18, /* "if" */
+ YYSYMBOL_THEN = 19, /* "then" */
+ YYSYMBOL_ELSE = 20, /* "else" */
+ YYSYMBOL_ELSE_IF = 21, /* "elif" */
+ YYSYMBOL_REDUCE = 22, /* "reduce" */
+ YYSYMBOL_FOREACH = 23, /* "foreach" */
+ YYSYMBOL_END = 24, /* "end" */
+ YYSYMBOL_AND = 25, /* "and" */
+ YYSYMBOL_OR = 26, /* "or" */
+ YYSYMBOL_TRY = 27, /* "try" */
+ YYSYMBOL_CATCH = 28, /* "catch" */
+ YYSYMBOL_LABEL = 29, /* "label" */
+ YYSYMBOL_BREAK = 30, /* "break" */
+ YYSYMBOL_LOC = 31, /* "__loc__" */
+ YYSYMBOL_SETPIPE = 32, /* "|=" */
+ YYSYMBOL_SETPLUS = 33, /* "+=" */
+ YYSYMBOL_SETMINUS = 34, /* "-=" */
+ YYSYMBOL_SETMULT = 35, /* "*=" */
+ YYSYMBOL_SETDIV = 36, /* "/=" */
+ YYSYMBOL_SETDEFINEDOR = 37, /* "//=" */
+ YYSYMBOL_LESSEQ = 38, /* "<=" */
+ YYSYMBOL_GREATEREQ = 39, /* ">=" */
+ YYSYMBOL_ALTERNATION = 40, /* "?//" */
+ YYSYMBOL_QQSTRING_START = 41, /* QQSTRING_START */
+ YYSYMBOL_QQSTRING_TEXT = 42, /* QQSTRING_TEXT */
+ YYSYMBOL_QQSTRING_INTERP_START = 43, /* QQSTRING_INTERP_START */
+ YYSYMBOL_QQSTRING_INTERP_END = 44, /* QQSTRING_INTERP_END */
+ YYSYMBOL_QQSTRING_END = 45, /* QQSTRING_END */
+ YYSYMBOL_FUNCDEF = 46, /* FUNCDEF */
+ YYSYMBOL_47_ = 47, /* '|' */
+ YYSYMBOL_48_ = 48, /* ',' */
+ YYSYMBOL_49_ = 49, /* '=' */
+ YYSYMBOL_50_ = 50, /* '<' */
+ YYSYMBOL_51_ = 51, /* '>' */
+ YYSYMBOL_52_ = 52, /* '+' */
+ YYSYMBOL_53_ = 53, /* '-' */
+ YYSYMBOL_54_ = 54, /* '*' */
+ YYSYMBOL_55_ = 55, /* '/' */
+ YYSYMBOL_56_ = 56, /* '%' */
+ YYSYMBOL_NONOPT = 57, /* NONOPT */
+ YYSYMBOL_58_ = 58, /* '?' */
+ YYSYMBOL_59_ = 59, /* ';' */
+ YYSYMBOL_60_ = 60, /* '(' */
+ YYSYMBOL_61_ = 61, /* ')' */
+ YYSYMBOL_62_ = 62, /* '$' */
+ YYSYMBOL_63_ = 63, /* ':' */
+ YYSYMBOL_64_ = 64, /* '.' */
+ YYSYMBOL_65_ = 65, /* '[' */
+ YYSYMBOL_66_ = 66, /* ']' */
+ YYSYMBOL_67_ = 67, /* '{' */
+ YYSYMBOL_68_ = 68, /* '}' */
+ YYSYMBOL_YYACCEPT = 69, /* $accept */
+ YYSYMBOL_TopLevel = 70, /* TopLevel */
+ YYSYMBOL_Module = 71, /* Module */
+ YYSYMBOL_Imports = 72, /* Imports */
+ YYSYMBOL_FuncDefs = 73, /* FuncDefs */
+ YYSYMBOL_Exp = 74, /* Exp */
+ YYSYMBOL_Import = 75, /* Import */
+ YYSYMBOL_ImportWhat = 76, /* ImportWhat */
+ YYSYMBOL_ImportFrom = 77, /* ImportFrom */
+ YYSYMBOL_FuncDef = 78, /* FuncDef */
+ YYSYMBOL_Params = 79, /* Params */
+ YYSYMBOL_Param = 80, /* Param */
+ YYSYMBOL_String = 81, /* String */
+ YYSYMBOL_82_1 = 82, /* @1 */
+ YYSYMBOL_83_2 = 83, /* @2 */
+ YYSYMBOL_QQString = 84, /* QQString */
+ YYSYMBOL_ElseBody = 85, /* ElseBody */
+ YYSYMBOL_ExpD = 86, /* ExpD */
+ YYSYMBOL_Term = 87, /* Term */
+ YYSYMBOL_Args = 88, /* Args */
+ YYSYMBOL_Arg = 89, /* Arg */
+ YYSYMBOL_RepPatterns = 90, /* RepPatterns */
+ YYSYMBOL_Patterns = 91, /* Patterns */
+ YYSYMBOL_Pattern = 92, /* Pattern */
+ YYSYMBOL_ArrayPats = 93, /* ArrayPats */
+ YYSYMBOL_ObjPats = 94, /* ObjPats */
+ YYSYMBOL_ObjPat = 95, /* ObjPat */
+ YYSYMBOL_Keyword = 96, /* Keyword */
+ YYSYMBOL_MkDict = 97, /* MkDict */
+ YYSYMBOL_MkDictPair = 98 /* MkDictPair */
+};
+typedef enum yysymbol_kind_t yysymbol_kind_t;
+
+
+/* Second part of user prologue. */
+#line 124 "parser.y"
+
+#include "lexer.h"
+struct lexer_param {
+ yyscan_t lexer;
+};
+#define FAIL(loc, msg) \
+ do { \
+ location l = loc; \
+ yyerror(&l, answer, errors, locations, lexer_param_ptr, msg); \
+ /*YYERROR*/; \
+ } while (0)
+
+void yyerror(YYLTYPE* loc, block* answer, int* errors,
+ struct locfile* locations, struct lexer_param* lexer_param_ptr, const char *s){
+ (*errors)++;
+ if (strstr(s, "unexpected")) {
+#ifdef WIN32
+ locfile_locate(locations, *loc, "jq: error: %s (Windows cmd shell quoting issues?)", s);
+#else
+ locfile_locate(locations, *loc, "jq: error: %s (Unix shell quoting issues?)", s);
+#endif
+ } else {
+ locfile_locate(locations, *loc, "jq: error: %s", s);
+ }
+}
+
+int yylex(YYSTYPE* yylval, YYLTYPE* yylloc, block* answer, int* errors,
+ struct locfile* locations, struct lexer_param* lexer_param_ptr) {
+ yyscan_t lexer = lexer_param_ptr->lexer;
+ int tok = jq_yylex(yylval, yylloc, lexer);
+ if ((tok == LITERAL || tok == QQSTRING_TEXT) && !jv_is_valid(yylval->literal)) {
+ jv msg = jv_invalid_get_msg(jv_copy(yylval->literal));
+ if (jv_get_kind(msg) == JV_KIND_STRING) {
+ FAIL(*yylloc, jv_string_value(msg));
+ } else {
+ FAIL(*yylloc, "Invalid literal");
+ }
+ jv_free(msg);
+ jv_free(yylval->literal);
+ yylval->literal = jv_null();
+ }
+ return tok;
+}
+
+/* Returns string message if the block is a constant that is not valid as an
+ * object key. */
+static jv check_object_key(block k) {
+ if (block_is_const(k) && block_const_kind(k) != JV_KIND_STRING) {
+ char errbuf[15];
+ return jv_string_fmt("Cannot use %s (%s) as object key",
+ jv_kind_name(block_const_kind(k)),
+ jv_dump_string_trunc(block_const(k), errbuf, sizeof(errbuf)));
+ }
+ return jv_invalid();
+}
+
+static block gen_index(block obj, block key) {
+ return BLOCK(gen_subexp(key), obj, gen_op_simple(INDEX));
+}
+
+static block gen_index_opt(block obj, block key) {
+ return BLOCK(gen_subexp(key), obj, gen_op_simple(INDEX_OPT));
+}
+
+static block gen_slice_index(block obj, block start, block end, opcode idx_op) {
+ block key = BLOCK(gen_subexp(gen_const(jv_object())),
+ gen_subexp(gen_const(jv_string("start"))),
+ gen_subexp(start),
+ gen_op_simple(INSERT),
+ gen_subexp(gen_const(jv_string("end"))),
+ gen_subexp(end),
+ gen_op_simple(INSERT));
+ return BLOCK(key, obj, gen_op_simple(idx_op));
+}
+
+static block constant_fold(block a, block b, int op) {
+ if (!block_is_single(a) || !block_is_const(a) ||
+ !block_is_single(b) || !block_is_const(b))
+ return gen_noop();
+ if (op == '+') {
+ if (block_const_kind(a) == JV_KIND_NULL) {
+ block_free(a);
+ return b;
+ }
+ if (block_const_kind(b) == JV_KIND_NULL) {
+ block_free(b);
+ return a;
+ }
+ }
+ if (block_const_kind(a) != block_const_kind(b))
+ return gen_noop();
+
+ jv res = jv_invalid();
+
+ if (block_const_kind(a) == JV_KIND_NUMBER) {
+ jv jv_a = block_const(a);
+ jv jv_b = block_const(b);
+
+ double na = jv_number_value(jv_a);
+ double nb = jv_number_value(jv_b);
+
+ int cmp = jv_cmp(jv_a, jv_b);
+
+ switch (op) {
+ case '+': res = jv_number(na + nb); break;
+ case '-': res = jv_number(na - nb); break;
+ case '*': res = jv_number(na * nb); break;
+ case '/': res = jv_number(na / nb); break;
+ case EQ: res = (cmp == 0 ? jv_true() : jv_false()); break;
+ case NEQ: res = (cmp != 0 ? jv_true() : jv_false()); break;
+ case '<': res = (cmp < 0 ? jv_true() : jv_false()); break;
+ case '>': res = (cmp > 0 ? jv_true() : jv_false()); break;
+ case LESSEQ: res = (cmp <= 0 ? jv_true() : jv_false()); break;
+ case GREATEREQ: res = (cmp >= 0 ? jv_true() : jv_false()); break;
+ default: break;
+ }
+ } else if (op == '+' && block_const_kind(a) == JV_KIND_STRING) {
+ res = jv_string_concat(block_const(a), block_const(b));
+ } else {
+ return gen_noop();
+ }
+
+ if (jv_get_kind(res) == JV_KIND_INVALID)
+ return gen_noop();
+
+ block_free(a);
+ block_free(b);
+ return gen_const(res);
+}
+
+static block gen_binop(block a, block b, int op) {
+ block folded = constant_fold(a, b, op);
+ if (!block_is_noop(folded))
+ return folded;
+
+ const char* funcname = 0;
+ switch (op) {
+ case '+': funcname = "_plus"; break;
+ case '-': funcname = "_minus"; break;
+ case '*': funcname = "_multiply"; break;
+ case '/': funcname = "_divide"; break;
+ case '%': funcname = "_mod"; break;
+ case EQ: funcname = "_equal"; break;
+ case NEQ: funcname = "_notequal"; break;
+ case '<': funcname = "_less"; break;
+ case '>': funcname = "_greater"; break;
+ case LESSEQ: funcname = "_lesseq"; break;
+ case GREATEREQ: funcname = "_greatereq"; break;
+ }
+ assert(funcname);
+
+ return gen_call(funcname, BLOCK(gen_lambda(a), gen_lambda(b)));
+}
+
+static block gen_format(block a, jv fmt) {
+ return BLOCK(a, gen_call("format", gen_lambda(gen_const(fmt))));
+}
+
+static block gen_definedor_assign(block object, block val) {
+ block tmp = gen_op_var_fresh(STOREV, "tmp");
+ return BLOCK(gen_op_simple(DUP),
+ val, tmp,
+ gen_call("_modify", BLOCK(gen_lambda(object),
+ gen_lambda(gen_definedor(gen_noop(),
+ gen_op_bound(LOADV, tmp))))));
+}
+
+static block gen_update(block object, block val, int optype) {
+ block tmp = gen_op_var_fresh(STOREV, "tmp");
+ return BLOCK(gen_op_simple(DUP),
+ val,
+ tmp,
+ gen_call("_modify", BLOCK(gen_lambda(object),
+ gen_lambda(gen_binop(gen_noop(),
+ gen_op_bound(LOADV, tmp),
+ optype)))));
+}
+
+
+#line 568 "y.tab.c"
+
+
+#ifdef short
+# undef short
+#endif
+
+/* On compilers that do not define __PTRDIFF_MAX__ etc., make sure
+ <limits.h> and (if available) <stdint.h> are included
+ so that the code can choose integer types of a good width. */
+
+#ifndef __PTRDIFF_MAX__
+# include <limits.h> /* INFRINGES ON USER NAME SPACE */
+# if defined __STDC_VERSION__ && 199901 <= __STDC_VERSION__
+# include <stdint.h> /* INFRINGES ON USER NAME SPACE */
+# define YY_STDINT_H
+# endif
+#endif
+
+/* Narrow types that promote to a signed type and that can represent a
+ signed or unsigned integer of at least N bits. In tables they can
+ save space and decrease cache pressure. Promoting to a signed type
+ helps avoid bugs in integer arithmetic. */
+
+#ifdef __INT_LEAST8_MAX__
+typedef __INT_LEAST8_TYPE__ yytype_int8;
+#elif defined YY_STDINT_H
+typedef int_least8_t yytype_int8;
+#else
+typedef signed char yytype_int8;
+#endif
+
+#ifdef __INT_LEAST16_MAX__
+typedef __INT_LEAST16_TYPE__ yytype_int16;
+#elif defined YY_STDINT_H
+typedef int_least16_t yytype_int16;
+#else
+typedef short yytype_int16;
+#endif
+
+#if defined __UINT_LEAST8_MAX__ && __UINT_LEAST8_MAX__ <= __INT_MAX__
+typedef __UINT_LEAST8_TYPE__ yytype_uint8;
+#elif (!defined __UINT_LEAST8_MAX__ && defined YY_STDINT_H \
+ && UINT_LEAST8_MAX <= INT_MAX)
+typedef uint_least8_t yytype_uint8;
+#elif !defined __UINT_LEAST8_MAX__ && UCHAR_MAX <= INT_MAX
+typedef unsigned char yytype_uint8;
+#else
+typedef short yytype_uint8;
+#endif
+
+#if defined __UINT_LEAST16_MAX__ && __UINT_LEAST16_MAX__ <= __INT_MAX__
+typedef __UINT_LEAST16_TYPE__ yytype_uint16;
+#elif (!defined __UINT_LEAST16_MAX__ && defined YY_STDINT_H \
+ && UINT_LEAST16_MAX <= INT_MAX)
+typedef uint_least16_t yytype_uint16;
+#elif !defined __UINT_LEAST16_MAX__ && USHRT_MAX <= INT_MAX
+typedef unsigned short yytype_uint16;
+#else
+typedef int yytype_uint16;
+#endif
+
+#ifndef YYPTRDIFF_T
+# if defined __PTRDIFF_TYPE__ && defined __PTRDIFF_MAX__
+# define YYPTRDIFF_T __PTRDIFF_TYPE__
+# define YYPTRDIFF_MAXIMUM __PTRDIFF_MAX__
+# elif defined PTRDIFF_MAX
+# ifndef ptrdiff_t
+# include <stddef.h> /* INFRINGES ON USER NAME SPACE */
+# endif
+# define YYPTRDIFF_T ptrdiff_t
+# define YYPTRDIFF_MAXIMUM PTRDIFF_MAX
+# else
+# define YYPTRDIFF_T long
+# define YYPTRDIFF_MAXIMUM LONG_MAX
+# endif
+#endif
+
+#ifndef YYSIZE_T
+# ifdef __SIZE_TYPE__
+# define YYSIZE_T __SIZE_TYPE__
+# elif defined size_t
+# define YYSIZE_T size_t
+# elif defined __STDC_VERSION__ && 199901 <= __STDC_VERSION__
+# include <stddef.h> /* INFRINGES ON USER NAME SPACE */
+# define YYSIZE_T size_t
+# else
+# define YYSIZE_T unsigned
+# endif
+#endif
+
+#define YYSIZE_MAXIMUM \
+ YY_CAST (YYPTRDIFF_T, \
+ (YYPTRDIFF_MAXIMUM < YY_CAST (YYSIZE_T, -1) \
+ ? YYPTRDIFF_MAXIMUM \
+ : YY_CAST (YYSIZE_T, -1)))
+
+#define YYSIZEOF(X) YY_CAST (YYPTRDIFF_T, sizeof (X))
+
+
+/* Stored state numbers (used for stacks). */
+typedef yytype_int16 yy_state_t;
+
+/* State numbers in computations. */
+typedef int yy_state_fast_t;
+
+#ifndef YY_
+# if defined YYENABLE_NLS && YYENABLE_NLS
+# if ENABLE_NLS
+# include <libintl.h> /* INFRINGES ON USER NAME SPACE */
+# define YY_(Msgid) dgettext ("bison-runtime", Msgid)
+# endif
+# endif
+# ifndef YY_
+# define YY_(Msgid) Msgid
+# endif
+#endif
+
+
+#ifndef YY_ATTRIBUTE_PURE
+# if defined __GNUC__ && 2 < __GNUC__ + (96 <= __GNUC_MINOR__)
+# define YY_ATTRIBUTE_PURE __attribute__ ((__pure__))
+# else
+# define YY_ATTRIBUTE_PURE
+# endif
+#endif
+
+#ifndef YY_ATTRIBUTE_UNUSED
+# if defined __GNUC__ && 2 < __GNUC__ + (7 <= __GNUC_MINOR__)
+# define YY_ATTRIBUTE_UNUSED __attribute__ ((__unused__))
+# else
+# define YY_ATTRIBUTE_UNUSED
+# endif
+#endif
+
+/* Suppress unused-variable warnings by "using" E. */
+#if ! defined lint || defined __GNUC__
+# define YYUSE(E) ((void) (E))
+#else
+# define YYUSE(E) /* empty */
+#endif
+
+#if defined __GNUC__ && ! defined __ICC && 407 <= __GNUC__ * 100 + __GNUC_MINOR__
+/* Suppress an incorrect diagnostic about yylval being uninitialized. */
+# define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN \
+ _Pragma ("GCC diagnostic push") \
+ _Pragma ("GCC diagnostic ignored \"-Wuninitialized\"") \
+ _Pragma ("GCC diagnostic ignored \"-Wmaybe-uninitialized\"")
+# define YY_IGNORE_MAYBE_UNINITIALIZED_END \
+ _Pragma ("GCC diagnostic pop")
+#else
+# define YY_INITIAL_VALUE(Value) Value
+#endif
+#ifndef YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+# define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+# define YY_IGNORE_MAYBE_UNINITIALIZED_END
+#endif
+#ifndef YY_INITIAL_VALUE
+# define YY_INITIAL_VALUE(Value) /* Nothing. */
+#endif
+
+#if defined __cplusplus && defined __GNUC__ && ! defined __ICC && 6 <= __GNUC__
+# define YY_IGNORE_USELESS_CAST_BEGIN \
+ _Pragma ("GCC diagnostic push") \
+ _Pragma ("GCC diagnostic ignored \"-Wuseless-cast\"")
+# define YY_IGNORE_USELESS_CAST_END \
+ _Pragma ("GCC diagnostic pop")
+#endif
+#ifndef YY_IGNORE_USELESS_CAST_BEGIN
+# define YY_IGNORE_USELESS_CAST_BEGIN
+# define YY_IGNORE_USELESS_CAST_END
+#endif
+
+
+#define YY_ASSERT(E) ((void) (0 && (E)))
+
+#if 1
+
+/* The parser invokes alloca or malloc; define the necessary symbols. */
+
+# ifdef YYSTACK_USE_ALLOCA
+# if YYSTACK_USE_ALLOCA
+# ifdef __GNUC__
+# define YYSTACK_ALLOC __builtin_alloca
+# elif defined __BUILTIN_VA_ARG_INCR
+# include <alloca.h> /* INFRINGES ON USER NAME SPACE */
+# elif defined _AIX
+# define YYSTACK_ALLOC __alloca
+# elif defined _MSC_VER
+# include <malloc.h> /* INFRINGES ON USER NAME SPACE */
+# define alloca _alloca
+# else
+# define YYSTACK_ALLOC alloca
+# if ! defined _ALLOCA_H && ! defined EXIT_SUCCESS
+# include <stdlib.h> /* INFRINGES ON USER NAME SPACE */
+ /* Use EXIT_SUCCESS as a witness for stdlib.h. */
+# ifndef EXIT_SUCCESS
+# define EXIT_SUCCESS 0
+# endif
+# endif
+# endif
+# endif
+# endif
+
+# ifdef YYSTACK_ALLOC
+ /* Pacify GCC's 'empty if-body' warning. */
+# define YYSTACK_FREE(Ptr) do { /* empty */; } while (0)
+# ifndef YYSTACK_ALLOC_MAXIMUM
+ /* The OS might guarantee only one guard page at the bottom of the stack,
+ and a page size can be as small as 4096 bytes. So we cannot safely
+ invoke alloca (N) if N exceeds 4096. Use a slightly smaller number
+ to allow for a few compiler-allocated temporary stack slots. */
+# define YYSTACK_ALLOC_MAXIMUM 4032 /* reasonable circa 2006 */
+# endif
+# else
+# define YYSTACK_ALLOC YYMALLOC
+# define YYSTACK_FREE YYFREE
+# ifndef YYSTACK_ALLOC_MAXIMUM
+# define YYSTACK_ALLOC_MAXIMUM YYSIZE_MAXIMUM
+# endif
+# if (defined __cplusplus && ! defined EXIT_SUCCESS \
+ && ! ((defined YYMALLOC || defined malloc) \
+ && (defined YYFREE || defined free)))
+# include <stdlib.h> /* INFRINGES ON USER NAME SPACE */
+# ifndef EXIT_SUCCESS
+# define EXIT_SUCCESS 0
+# endif
+# endif
+# ifndef YYMALLOC
+# define YYMALLOC malloc
+# if ! defined malloc && ! defined EXIT_SUCCESS
+void *malloc (YYSIZE_T); /* INFRINGES ON USER NAME SPACE */
+# endif
+# endif
+# ifndef YYFREE
+# define YYFREE free
+# if ! defined free && ! defined EXIT_SUCCESS
+void free (void *); /* INFRINGES ON USER NAME SPACE */
+# endif
+# endif
+# endif
+#endif /* 1 */
+
+#if (! defined yyoverflow \
+ && (! defined __cplusplus \
+ || (defined YYLTYPE_IS_TRIVIAL && YYLTYPE_IS_TRIVIAL \
+ && defined YYSTYPE_IS_TRIVIAL && YYSTYPE_IS_TRIVIAL)))
+
+/* A type that is properly aligned for any stack member. */
+union yyalloc
+{
+ yy_state_t yyss_alloc;
+ YYSTYPE yyvs_alloc;
+ YYLTYPE yyls_alloc;
+};
+
+/* The size of the maximum gap between one aligned stack and the next. */
+# define YYSTACK_GAP_MAXIMUM (YYSIZEOF (union yyalloc) - 1)
+
+/* The size of an array large to enough to hold all stacks, each with
+ N elements. */
+# define YYSTACK_BYTES(N) \
+ ((N) * (YYSIZEOF (yy_state_t) + YYSIZEOF (YYSTYPE) \
+ + YYSIZEOF (YYLTYPE)) \
+ + 2 * YYSTACK_GAP_MAXIMUM)
+
+# define YYCOPY_NEEDED 1
+
+/* Relocate STACK from its old location to the new one. The
+ local variables YYSIZE and YYSTACKSIZE give the old and new number of
+ elements in the stack, and YYPTR gives the new location of the
+ stack. Advance YYPTR to a properly aligned location for the next
+ stack. */
+# define YYSTACK_RELOCATE(Stack_alloc, Stack) \
+ do \
+ { \
+ YYPTRDIFF_T yynewbytes; \
+ YYCOPY (&yyptr->Stack_alloc, Stack, yysize); \
+ Stack = &yyptr->Stack_alloc; \
+ yynewbytes = yystacksize * YYSIZEOF (*Stack) + YYSTACK_GAP_MAXIMUM; \
+ yyptr += yynewbytes / YYSIZEOF (*yyptr); \
+ } \
+ while (0)
+
+#endif
+
+#if defined YYCOPY_NEEDED && YYCOPY_NEEDED
+/* Copy COUNT objects from SRC to DST. The source and destination do
+ not overlap. */
+# ifndef YYCOPY
+# if defined __GNUC__ && 1 < __GNUC__
+# define YYCOPY(Dst, Src, Count) \
+ __builtin_memcpy (Dst, Src, YY_CAST (YYSIZE_T, (Count)) * sizeof (*(Src)))
+# else
+# define YYCOPY(Dst, Src, Count) \
+ do \
+ { \
+ YYPTRDIFF_T yyi; \
+ for (yyi = 0; yyi < (Count); yyi++) \
+ (Dst)[yyi] = (Src)[yyi]; \
+ } \
+ while (0)
+# endif
+# endif
+#endif /* !YYCOPY_NEEDED */
+
+/* YYFINAL -- State number of the termination state. */
+#define YYFINAL 27
+/* YYLAST -- Last index in YYTABLE. */
+#define YYLAST 1972
+
+/* YYNTOKENS -- Number of terminals. */
+#define YYNTOKENS 69
+/* YYNNTS -- Number of nonterminals. */
+#define YYNNTS 30
+/* YYNRULES -- Number of rules. */
+#define YYNRULES 162
+/* YYNSTATES -- Number of states. */
+#define YYNSTATES 313
+
+/* YYMAXUTOK -- Last valid token kind. */
+#define YYMAXUTOK 302
+
+
+/* YYTRANSLATE(TOKEN-NUM) -- Symbol number corresponding to TOKEN-NUM
+ as returned by yylex, with out-of-bounds checking. */
+#define YYTRANSLATE(YYX) \
+ (0 <= (YYX) && (YYX) <= YYMAXUTOK \
+ ? YY_CAST (yysymbol_kind_t, yytranslate[YYX]) \
+ : YYSYMBOL_YYUNDEF)
+
+/* YYTRANSLATE[TOKEN-NUM] -- Symbol number corresponding to TOKEN-NUM
+ as returned by yylex. */
+static const yytype_int8 yytranslate[] =
+{
+ 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 62, 56, 2, 2,
+ 60, 61, 54, 52, 48, 53, 64, 55, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 63, 59,
+ 50, 49, 51, 58, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 65, 2, 66, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 67, 47, 68, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 1, 2, 3, 4,
+ 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
+ 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+ 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,
+ 35, 36, 37, 38, 39, 40, 41, 42, 43, 44,
+ 45, 46, 57
+};
+
+#if YYDEBUG
+ /* YYRLINE[YYN] -- Source line where rule number YYN was defined. */
+static const yytype_int16 yyrline[] =
+{
+ 0, 306, 306, 309, 314, 317, 328, 331, 336, 339,
+ 344, 348, 351, 355, 359, 363, 366, 371, 375, 379,
+ 384, 391, 395, 399, 403, 407, 411, 415, 419, 423,
+ 427, 431, 435, 439, 443, 447, 451, 455, 461, 467,
+ 471, 475, 479, 483, 487, 491, 495, 499, 504, 507,
+ 524, 533, 540, 548, 559, 564, 570, 573, 578, 583,
+ 590, 590, 594, 594, 601, 604, 607, 613, 616, 621,
+ 624, 627, 633, 636, 639, 647, 651, 654, 657, 660,
+ 663, 666, 669, 672, 675, 679, 685, 688, 691, 694,
+ 697, 700, 703, 706, 709, 712, 715, 718, 721, 724,
+ 727, 730, 733, 740, 744, 748, 760, 765, 766, 767,
+ 768, 771, 774, 779, 784, 787, 792, 795, 800, 804,
+ 807, 812, 815, 820, 823, 828, 831, 834, 837, 840,
+ 843, 851, 857, 860, 863, 866, 869, 872, 875, 878,
+ 881, 884, 887, 890, 893, 896, 899, 902, 905, 908,
+ 911, 916, 919, 920, 921, 924, 927, 930, 933, 937,
+ 941, 945, 953
+};
+#endif
+
+/** Accessing symbol of state STATE. */
+#define YY_ACCESSING_SYMBOL(State) YY_CAST (yysymbol_kind_t, yystos[State])
+
+#if 1
+/* The user-facing name of the symbol whose (internal) number is
+ YYSYMBOL. No bounds checking. */
+static const char *yysymbol_name (yysymbol_kind_t yysymbol) YY_ATTRIBUTE_UNUSED;
+
+/* YYTNAME[SYMBOL-NUM] -- String name of the symbol SYMBOL-NUM.
+ First, the terminals, then, starting at YYNTOKENS, nonterminals. */
+static const char *const yytname[] =
+{
+ "\"end of file\"", "error", "\"invalid token\"", "INVALID_CHARACTER",
+ "IDENT", "FIELD", "LITERAL", "FORMAT", "\"..\"", "\"%=\"", "\"==\"",
+ "\"!=\"", "\"//\"", "\"as\"", "\"def\"", "\"module\"", "\"import\"",
+ "\"include\"", "\"if\"", "\"then\"", "\"else\"", "\"elif\"",
+ "\"reduce\"", "\"foreach\"", "\"end\"", "\"and\"", "\"or\"", "\"try\"",
+ "\"catch\"", "\"label\"", "\"break\"", "\"__loc__\"", "\"|=\"", "\"+=\"",
+ "\"-=\"", "\"*=\"", "\"/=\"", "\"//=\"", "\"<=\"", "\">=\"", "\"?//\"",
+ "QQSTRING_START", "QQSTRING_TEXT", "QQSTRING_INTERP_START",
+ "QQSTRING_INTERP_END", "QQSTRING_END", "FUNCDEF", "'|'", "','", "'='",
+ "'<'", "'>'", "'+'", "'-'", "'*'", "'/'", "'%'", "NONOPT", "'?'", "';'",
+ "'('", "')'", "'$'", "':'", "'.'", "'['", "']'", "'{'", "'}'", "$accept",
+ "TopLevel", "Module", "Imports", "FuncDefs", "Exp", "Import",
+ "ImportWhat", "ImportFrom", "FuncDef", "Params", "Param", "String", "@1",
+ "@2", "QQString", "ElseBody", "ExpD", "Term", "Args", "Arg",
+ "RepPatterns", "Patterns", "Pattern", "ArrayPats", "ObjPats", "ObjPat",
+ "Keyword", "MkDict", "MkDictPair", YY_NULLPTR
+};
+
+static const char *
+yysymbol_name (yysymbol_kind_t yysymbol)
+{
+ return yytname[yysymbol];
+}
+#endif
+
+#ifdef YYPRINT
+/* YYTOKNUM[NUM] -- (External) token number corresponding to the
+ (internal) symbol number NUM (which must be that of a token). */
+static const yytype_int16 yytoknum[] =
+{
+ 0, 256, 257, 258, 259, 260, 261, 262, 263, 264,
+ 265, 266, 267, 268, 269, 270, 271, 272, 273, 274,
+ 275, 276, 277, 278, 279, 280, 281, 282, 283, 284,
+ 285, 286, 287, 288, 289, 290, 291, 292, 293, 294,
+ 295, 296, 297, 298, 299, 300, 301, 124, 44, 61,
+ 60, 62, 43, 45, 42, 47, 37, 302, 63, 59,
+ 40, 41, 36, 58, 46, 91, 93, 123, 125
+};
+#endif
+
+#define YYPACT_NINF (-158)
+
+#define yypact_value_is_default(Yyn) \
+ ((Yyn) == YYPACT_NINF)
+
+#define YYTABLE_NINF (-152)
+
+#define yytable_value_is_error(Yyn) \
+ ((Yyn) == YYTABLE_NINF)
+
+ /* YYPACT[STATE-NUM] -- Index in YYTABLE of the portion describing
+ STATE-NUM. */
+static const yytype_int16 yypact[] =
+{
+ 21, 772, 43, 63, -6, 12, -158, 80, -158, 122,
+ 772, 193, 193, 772, 74, 5, -158, 772, 522, 10,
+ 279, 455, 152, 1290, 772, -158, 8, -158, 3, 3,
+ 772, 63, 680, 772, -158, -158, 67, 1646, 58, 130,
+ 106, 133, -158, 135, -158, 20, 83, 1120, -158, -158,
+ -158, 140, 80, 93, 86, -158, 917, -23, 91, -158,
+ -158, -158, -158, -158, -158, -158, -158, -158, -158, -158,
+ -158, -158, -158, -158, -158, -158, -158, -158, 772, 151,
+ 94, 97, 95, 113, 772, 772, 772, 772, 772, 772,
+ 772, 772, 772, 772, 772, 772, 772, 772, 772, 772,
+ 772, 772, 772, 772, 772, 772, 772, 772, -158, -158,
+ 1814, 104, -7, 3, 388, 171, -158, -158, -158, 1814,
+ 772, -158, -158, 1341, 1814, 59, -158, -158, 7, 772,
+ 587, -7, -7, 652, 117, -158, 4, -158, -158, -158,
+ -158, -158, -158, 345, -3, -158, -3, 1154, -158, -3,
+ -3, -158, 345, 1882, 370, 370, 1848, 436, 1914, 1882,
+ 1882, 1882, 1882, 1882, 1882, 370, 370, 1814, 1848, 1882,
+ 370, 370, 20, 20, 129, 129, 129, -158, 184, -7,
+ 834, 149, 143, 156, 134, 136, 772, 145, 867, 47,
+ -158, -158, 772, -158, 23, -158, 200, 72, -158, 1392,
+ -158, 1596, 146, 150, -158, -158, 772, -158, 772, -158,
+ -11, -158, -3, 162, 51, 162, 148, 162, 162, -158,
+ -158, -158, -24, 153, 154, 772, 209, 155, -15, -158,
+ 158, -7, 772, -158, -158, 967, -158, 744, 157, -158,
+ 215, -158, -158, -158, 7, 159, -158, 772, 772, -158,
+ 772, 772, 1814, 1680, -158, -3, -3, -7, -158, -7,
+ -7, 1188, 163, -7, 834, -158, -7, 185, 1814, 169,
+ 170, 1017, -158, -158, -158, 772, 1730, 1780, 1443, 1494,
+ -158, 162, 162, -158, -158, -158, 166, -7, -158, -158,
+ -158, -158, -158, 172, 1545, -158, 772, 772, 772, -7,
+ -158, -158, -158, 1596, 1222, 1067, -158, -158, -158, 772,
+ -158, 1256, -158
+};
+
+ /* YYDEFACT[STATE-NUM] -- Default reduction number in state STATE-NUM.
+ Performed when YYTABLE does not specify something else to do. Zero
+ means the default is an error. */
+static const yytype_uint8 yydefact[] =
+{
+ 4, 0, 0, 6, 105, 81, 96, 98, 73, 0,
+ 0, 0, 0, 0, 0, 0, 60, 0, 0, 0,
+ 0, 0, 0, 0, 0, 97, 47, 1, 0, 0,
+ 8, 6, 0, 0, 77, 62, 0, 0, 0, 0,
+ 18, 0, 75, 0, 64, 32, 0, 0, 104, 103,
+ 84, 0, 0, 83, 0, 101, 0, 0, 160, 132,
+ 133, 134, 135, 136, 137, 138, 139, 140, 141, 142,
+ 143, 144, 145, 146, 147, 148, 149, 150, 0, 0,
+ 158, 0, 0, 152, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 21, 5,
+ 10, 80, 0, 0, 0, 0, 53, 52, 3, 2,
+ 8, 7, 48, 0, 113, 0, 111, 64, 0, 0,
+ 0, 0, 0, 0, 0, 74, 0, 107, 99, 85,
+ 79, 108, 100, 0, 0, 110, 0, 0, 159, 0,
+ 0, 102, 0, 40, 41, 42, 25, 24, 23, 27,
+ 31, 34, 36, 39, 26, 45, 46, 28, 29, 22,
+ 43, 44, 30, 33, 35, 37, 38, 76, 0, 0,
+ 0, 0, 0, 117, 82, 0, 0, 89, 0, 0,
+ 9, 49, 0, 106, 0, 59, 0, 0, 56, 0,
+ 16, 0, 0, 0, 19, 17, 0, 65, 0, 61,
+ 0, 154, 0, 162, 71, 155, 0, 157, 156, 153,
+ 118, 121, 0, 0, 0, 0, 0, 0, 0, 123,
+ 0, 0, 0, 78, 109, 0, 88, 0, 87, 51,
+ 0, 112, 63, 58, 0, 0, 54, 0, 0, 15,
+ 0, 0, 20, 0, 70, 0, 0, 0, 119, 0,
+ 0, 0, 125, 0, 0, 120, 0, 116, 11, 95,
+ 94, 0, 86, 50, 57, 0, 0, 0, 0, 0,
+ 66, 69, 161, 122, 131, 127, 0, 0, 129, 124,
+ 128, 92, 91, 93, 0, 68, 0, 0, 0, 0,
+ 126, 90, 55, 0, 0, 0, 130, 67, 12, 0,
+ 14, 0, 13
+};
+
+ /* YYPGOTO[NTERM-NUM]. */
+static const yytype_int16 yypgoto[] =
+{
+ -158, -158, -158, 201, 115, -1, -158, -158, 204, -8,
+ -158, -5, 6, -158, -158, 110, -65, -131, -4, -158,
+ 48, -158, 16, -149, -158, -158, -22, -157, -104, -158
+};
+
+ /* YYDEFGOTO[NTERM-NUM]. */
+static const yytype_int16 yydefgoto[] =
+{
+ -1, 2, 3, 30, 118, 110, 31, 32, 115, 24,
+ 197, 198, 25, 44, 127, 136, 249, 213, 26, 125,
+ 126, 181, 182, 183, 222, 228, 229, 81, 82, 83
+};
+
+ /* YYTABLE[YYPACT[STATE-NUM]] -- What to do in state STATE-NUM. If
+ positive, shift that token. If negative, reduce the rule whose
+ number is the opposite. If YYTABLE_NINF, syntax error. */
+static const yytype_int16 yytable[] =
+{
+ 23, 4, 5, 6, 7, 8, 42, 38, 39, 37,
+ 52, 195, 40, 111, 48, 215, 45, 47, 217, 218,
+ 56, 112, 120, 230, 257, 143, 53, 15, 80, 119,
+ 221, 123, 124, 264, 116, 116, 1, 143, 16, 211,
+ 144, 49, 258, 27, 16, 145, 207, 208, 219, 209,
+ 212, 239, 144, 265, 33, 178, 111, 18, 179, 19,
+ 180, 20, 21, 111, 22, 207, 208, 43, 242, 196,
+ 34, 131, 113, 114, 105, 106, 107, 147, 108, 28,
+ 29, 254, 267, 153, 154, 155, 156, 157, 158, 159,
+ 160, 161, 162, 163, 164, 165, 166, 167, 168, 169,
+ 170, 171, 172, 173, 174, 175, 176, 230, 283, 240,
+ 284, 285, 120, 188, 288, 113, 114, 290, 192, 184,
+ 193, 35, 113, 114, 281, 282, 36, 128, 199, 201,
+ 129, 244, 205, 245, 133, 111, 41, 134, 300, 135,
+ 214, 139, 214, 132, 137, 214, 214, 202, 203, 80,
+ 306, 140, 141, 57, 146, 148, 58, 149, 80, 52,
+ 150, 152, 177, 151, 206, 59, 60, 61, 62, 63,
+ 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,
+ 74, 75, 76, 77, 189, 235, 227, 108, 220, 231,
+ 232, 124, 233, 16, 113, 114, -115, 4, 5, 6,
+ 7, 8, 234, 236, 243, 252, 250, 253, 214, 255,
+ 251, 256, 78, 262, 79, 272, 259, 260, 263, 273,
+ -151, 266, 275, 15, 261, -114, 287, 291, 292, 299,
+ 301, 268, 121, 117, 16, 190, 271, 194, 307, 274,
+ 241, 0, 289, 0, 0, 0, 276, 277, 0, 278,
+ 279, 214, 214, 18, 0, 19, 0, 20, 21, 0,
+ 22, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 227, 0, 0, 0, 294, 0, 0, 0, 0, -72,
+ 50, 0, 0, 51, -72, 0, 52, 0, -72, -72,
+ -72, -72, -72, 0, 0, 303, 304, 305, -72, -72,
+ -72, 0, 0, -72, -72, -72, 0, -72, 311, 0,
+ 0, -72, -72, -72, -72, -72, -72, -72, -72, 0,
+ 16, 0, 0, -72, 0, 0, -72, -72, -72, -72,
+ -72, -72, -72, -72, -72, -72, 0, -72, -72, 0,
+ -72, 0, -72, -72, -72, -72, 210, -72, 0, 58,
+ 0, 0, 52, 0, 0, 0, 0, 0, 59, 60,
+ 61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
+ 71, 72, 73, 74, 75, 76, 77, 0, 0, 0,
+ -152, -152, 0, 0, 0, 0, 16, 0, 0, 185,
+ 0, 0, 4, 5, 6, 7, 8, 0, 0, 0,
+ 0, 0, 9, 0, 0, 78, 10, 79, -152, -152,
+ 11, 12, 0, -151, 0, 13, 0, 14, 15, 0,
+ -152, -152, 103, 104, 105, 106, 107, 0, 108, 16,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 17, 0, 0, 0, 0, 85, 86, 18, 0,
+ 19, 186, 20, 21, 187, 22, 54, 0, 0, 4,
+ 5, 6, 7, 8, 0, 0, 0, 0, 0, 9,
+ 0, 0, 0, 10, 96, 97, 0, 11, 12, 0,
+ 0, 0, 13, 0, 14, 15, 101, 102, 103, 104,
+ 105, 106, 107, 0, 108, 0, 16, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 17, 0,
+ 0, 0, 0, 0, 0, 18, 0, 19, 0, 20,
+ 21, 55, 22, 46, 0, 0, 4, 5, 6, 7,
+ 8, 0, 0, 0, 0, 0, 9, 0, 0, 0,
+ 10, 0, 0, 0, 11, 12, 0, 0, 0, 13,
+ 0, 14, 15, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 16, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 17, 0, 0, 0, 0,
+ 0, 0, 18, 0, 19, 0, 20, 21, 200, 22,
+ 0, 4, 5, 6, 7, 8, 0, 0, 0, 0,
+ 0, 9, 0, 0, 0, 10, 0, 0, 0, 11,
+ 12, 0, 0, 0, 13, 0, 14, 15, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 16, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 17, 0, 0, 0, 0, 0, 0, 18, 0, 19,
+ 0, 20, 21, 204, 22, 0, 4, 5, 6, 7,
+ 8, 0, 0, 0, 0, 0, 9, 0, 0, 0,
+ 10, 0, 0, 0, 11, 12, 0, 0, 0, 13,
+ 0, 14, 15, 0, 4, 5, 6, 7, 8, 0,
+ 0, 0, 0, 16, 9, 0, 0, 0, 10, 0,
+ 0, 0, 11, 12, 0, 17, 0, 13, 0, 14,
+ 15, 0, 18, 0, 19, 0, 20, 21, 0, 22,
+ 0, 16, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 17, 0, 0, 0, 0, 0, 122,
+ 18, 0, 19, 0, 20, 21, 0, 22, 4, 5,
+ 6, 7, 8, 0, 0, 0, 0, 0, 9, 0,
+ 0, 0, 10, 0, 0, 0, 11, 12, 0, 0,
+ 0, 13, 0, 14, 15, 0, 4, 5, 6, 7,
+ 8, 0, 0, 0, 0, 16, 9, 0, 0, 0,
+ 10, 0, 0, 0, 11, 12, 0, 17, 0, 13,
+ 0, 14, 15, 0, 18, 0, 19, 0, 20, 21,
+ 270, 22, 0, 16, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 17, 0, 0, 0, 0,
+ 0, 0, 18, 0, 19, 223, 20, 21, 224, 22,
+ 0, 52, 0, 0, 0, 0, 0, 59, 60, 61,
+ 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,
+ 72, 73, 74, 75, 76, 77, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 16, 84, 85, 86, 87,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 88, 89, 225, 0, 226, 0, 0, 90,
+ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0,
+ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103,
+ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87,
+ 237, 0, 0, 238, 0, 0, 0, 0, 0, 0,
+ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90,
+ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0,
+ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103,
+ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87,
+ 0, 0, 0, 142, 0, 0, 0, 0, 0, 0,
+ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90,
+ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0,
+ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103,
+ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87,
+ 0, 0, 0, 269, 0, 0, 0, 0, 0, 0,
+ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90,
+ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0,
+ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103,
+ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87,
+ 0, 0, 0, 293, 0, 0, 0, 0, 0, 0,
+ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90,
+ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0,
+ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103,
+ 104, 105, 106, 107, 0, 108, 309, 0, 310, 84,
+ 85, 86, 87, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 88, 89, 0, 0, 0,
+ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97,
+ 0, 0, 0, 84, 85, 86, 87, 98, 99, 100,
+ 101, 102, 103, 104, 105, 106, 107, 0, 108, 88,
+ 89, 138, 0, 0, 0, 0, 90, 91, 92, 93,
+ 94, 95, 96, 97, 0, 0, 0, 84, 85, 86,
+ 87, 98, 99, 100, 101, 102, 103, 104, 105, 106,
+ 107, 0, 108, 88, 89, 216, 0, 0, 0, 0,
+ 90, 91, 92, 93, 94, 95, 96, 97, 0, 0,
+ 0, 84, 85, 86, 87, 98, 99, 100, 101, 102,
+ 103, 104, 105, 106, 107, 0, 108, 88, 89, 286,
+ 0, 0, 0, 0, 90, 91, 92, 93, 94, 95,
+ 96, 97, 0, 0, 0, 84, 85, 86, 87, 98,
+ 99, 100, 101, 102, 103, 104, 105, 106, 107, 0,
+ 108, 88, 89, 308, 0, 0, 0, 0, 90, 91,
+ 92, 93, 94, 95, 96, 97, 0, 0, 0, 84,
+ 85, 86, 87, 98, 99, 100, 101, 102, 103, 104,
+ 105, 106, 107, 0, 108, 88, 89, 312, 0, 0,
+ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97,
+ 0, 0, 0, 0, 0, 0, 0, 98, 99, 100,
+ 101, 102, 103, 104, 105, 106, 107, 0, 108, 109,
+ 84, 85, 86, 87, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 88, 89, 0, 0,
+ 0, 0, 0, 90, 91, 92, 93, 94, 95, 96,
+ 97, 0, 0, 0, 0, 0, 0, 0, 98, 99,
+ 100, 101, 102, 103, 104, 105, 106, 107, 0, 108,
+ 191, 84, 85, 86, 87, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 88, 89, 0,
+ 0, 0, 0, 0, 90, 91, 92, 93, 94, 95,
+ 96, 97, 0, 0, 0, 0, 0, 0, 0, 98,
+ 99, 100, 101, 102, 103, 104, 105, 106, 107, 0,
+ 108, 246, 84, 85, 86, 87, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 88, 89,
+ 0, 0, 0, 0, 0, 90, 91, 92, 93, 94,
+ 95, 96, 97, 0, 0, 0, 0, 0, 0, 0,
+ 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
+ 0, 108, 297, 84, 85, 86, 87, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 88,
+ 89, 0, 0, 0, 0, 0, 90, 91, 92, 93,
+ 94, 95, 96, 97, 0, 0, 0, 0, 0, 0,
+ 0, 98, 99, 100, 101, 102, 103, 104, 105, 106,
+ 107, 0, 108, 298, 84, 85, 86, 87, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 88, 89, 0, 0, 0, 0, 0, 90, 91, 92,
+ 93, 94, 95, 96, 97, 0, 0, 0, 0, 0,
+ 0, 0, 98, 99, 100, 101, 102, 103, 104, 105,
+ 106, 107, 0, 108, 302, 84, 85, 86, 87, 0,
+ 0, 0, 0, 0, 0, 0, 247, 248, 0, 0,
+ 0, 88, 89, 0, 0, 0, 0, 0, 90, 91,
+ 92, 93, 94, 95, 96, 97, 0, 0, 0, 0,
+ 0, 0, 0, 98, 99, 100, 101, 102, 103, 104,
+ 105, 106, 107, 0, 108, 84, 85, 86, 87, 0,
+ 0, 0, 0, 0, 0, 130, 0, 0, 0, 0,
+ 0, 88, 89, 0, 0, 0, 0, 0, 90, 91,
+ 92, 93, 94, 95, 96, 97, 0, 0, 0, 84,
+ 85, 86, 87, 98, 99, 100, 101, 102, 103, 104,
+ 105, 106, 107, 0, 108, 88, 89, 0, 0, 0,
+ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97,
+ 0, 0, 0, 0, 280, 0, 0, 98, 99, 100,
+ 101, 102, 103, 104, 105, 106, 107, 0, 108, 84,
+ 85, 86, 87, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 295, 88, 89, 0, 0, 0,
+ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97,
+ 0, 0, 0, 0, 0, 0, 0, 98, 99, 100,
+ 101, 102, 103, 104, 105, 106, 107, 0, 108, 84,
+ 85, 86, 87, 0, 0, 0, 0, 0, 0, 296,
+ 0, 0, 0, 0, 0, 88, 89, 0, 0, 0,
+ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97,
+ 0, 0, 0, 84, 85, 86, 87, 98, 99, 100,
+ 101, 102, 103, 104, 105, 106, 107, 0, 108, 88,
+ 89, 0, 0, 0, 0, 0, 90, 91, 92, 93,
+ 94, 95, 96, 97, 0, 0, 0, 84, 85, 86,
+ 87, 98, 99, 100, 101, 102, 103, 104, 105, 106,
+ 107, 0, 108, 88, 89, 0, 0, 0, 0, 0,
+ 90, 91, 92, 93, 94, 95, 96, 97, 0, 0,
+ 0, -152, 85, 86, 0, 0, 0, 100, 101, 102,
+ 103, 104, 105, 106, 107, 0, 108, 88, 89, 0,
+ 0, 0, 0, 0, -152, -152, -152, -152, -152, -152,
+ 96, 97, 0, 0, 85, 86, 0, 0, 0, 0,
+ 0, -152, 101, 102, 103, 104, 105, 106, 107, 88,
+ 108, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 96, 97, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 101, 102, 103, 104, 105, 106,
+ 107, 0, 108
+};
+
+static const yytype_int16 yycheck[] =
+{
+ 1, 4, 5, 6, 7, 8, 1, 11, 12, 10,
+ 7, 4, 13, 5, 4, 146, 17, 18, 149, 150,
+ 21, 13, 30, 180, 48, 48, 20, 30, 22, 30,
+ 179, 32, 33, 48, 28, 29, 15, 48, 41, 143,
+ 63, 31, 66, 0, 41, 68, 42, 43, 152, 45,
+ 53, 4, 63, 68, 60, 62, 5, 60, 65, 62,
+ 67, 64, 65, 5, 67, 42, 43, 62, 45, 62,
+ 58, 13, 64, 65, 54, 55, 56, 78, 58, 16,
+ 17, 212, 231, 84, 85, 86, 87, 88, 89, 90,
+ 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
+ 101, 102, 103, 104, 105, 106, 107, 264, 257, 62,
+ 259, 260, 120, 114, 263, 64, 65, 266, 59, 113,
+ 61, 41, 64, 65, 255, 256, 4, 60, 129, 130,
+ 63, 59, 133, 61, 28, 5, 62, 4, 287, 4,
+ 144, 1, 146, 13, 61, 149, 150, 131, 132, 143,
+ 299, 58, 66, 1, 63, 4, 4, 63, 152, 7,
+ 63, 48, 58, 68, 47, 13, 14, 15, 16, 17,
+ 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
+ 28, 29, 30, 31, 13, 186, 180, 58, 4, 40,
+ 47, 192, 58, 41, 64, 65, 40, 4, 5, 6,
+ 7, 8, 66, 58, 4, 206, 60, 208, 212, 47,
+ 60, 63, 60, 4, 62, 58, 63, 63, 63, 4,
+ 68, 63, 63, 30, 225, 40, 63, 58, 58, 63,
+ 58, 232, 31, 29, 41, 120, 237, 127, 303, 244,
+ 192, -1, 264, -1, -1, -1, 247, 248, -1, 250,
+ 251, 255, 256, 60, -1, 62, -1, 64, 65, -1,
+ 67, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+ 264, -1, -1, -1, 275, -1, -1, -1, -1, 0,
+ 1, -1, -1, 4, 5, -1, 7, -1, 9, 10,
+ 11, 12, 13, -1, -1, 296, 297, 298, 19, 20,
+ 21, -1, -1, 24, 25, 26, -1, 28, 309, -1,
+ -1, 32, 33, 34, 35, 36, 37, 38, 39, -1,
+ 41, -1, -1, 44, -1, -1, 47, 48, 49, 50,
+ 51, 52, 53, 54, 55, 56, -1, 58, 59, -1,
+ 61, -1, 63, 64, 65, 66, 1, 68, -1, 4,
+ -1, -1, 7, -1, -1, -1, -1, -1, 13, 14,
+ 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
+ 25, 26, 27, 28, 29, 30, 31, -1, -1, -1,
+ 10, 11, -1, -1, -1, -1, 41, -1, -1, 1,
+ -1, -1, 4, 5, 6, 7, 8, -1, -1, -1,
+ -1, -1, 14, -1, -1, 60, 18, 62, 38, 39,
+ 22, 23, -1, 68, -1, 27, -1, 29, 30, -1,
+ 50, 51, 52, 53, 54, 55, 56, -1, 58, 41,
+ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+ -1, 53, -1, -1, -1, -1, 10, 11, 60, -1,
+ 62, 63, 64, 65, 66, 67, 1, -1, -1, 4,
+ 5, 6, 7, 8, -1, -1, -1, -1, -1, 14,
+ -1, -1, -1, 18, 38, 39, -1, 22, 23, -1,
+ -1, -1, 27, -1, 29, 30, 50, 51, 52, 53,
+ 54, 55, 56, -1, 58, -1, 41, -1, -1, -1,
+ -1, -1, -1, -1, -1, -1, -1, -1, 53, -1,
+ -1, -1, -1, -1, -1, 60, -1, 62, -1, 64,
+ 65, 66, 67, 1, -1, -1, 4, 5, 6, 7,
+ 8, -1, -1, -1, -1, -1, 14, -1, -1, -1,
+ 18, -1, -1, -1, 22, 23, -1, -1, -1, 27,
+ -1, 29, 30, -1, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, 41, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, -1, -1, 53, -1, -1, -1, -1,
+ -1, -1, 60, -1, 62, -1, 64, 65, 1, 67,
+ -1, 4, 5, 6, 7, 8, -1, -1, -1, -1,
+ -1, 14, -1, -1, -1, 18, -1, -1, -1, 22,
+ 23, -1, -1, -1, 27, -1, 29, 30, -1, -1,
+ -1, -1, -1, -1, -1, -1, -1, -1, 41, -1,
+ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+ 53, -1, -1, -1, -1, -1, -1, 60, -1, 62,
+ -1, 64, 65, 1, 67, -1, 4, 5, 6, 7,
+ 8, -1, -1, -1, -1, -1, 14, -1, -1, -1,
+ 18, -1, -1, -1, 22, 23, -1, -1, -1, 27,
+ -1, 29, 30, -1, 4, 5, 6, 7, 8, -1,
+ -1, -1, -1, 41, 14, -1, -1, -1, 18, -1,
+ -1, -1, 22, 23, -1, 53, -1, 27, -1, 29,
+ 30, -1, 60, -1, 62, -1, 64, 65, -1, 67,
+ -1, 41, -1, -1, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, 53, -1, -1, -1, -1, -1, 59,
+ 60, -1, 62, -1, 64, 65, -1, 67, 4, 5,
+ 6, 7, 8, -1, -1, -1, -1, -1, 14, -1,
+ -1, -1, 18, -1, -1, -1, 22, 23, -1, -1,
+ -1, 27, -1, 29, 30, -1, 4, 5, 6, 7,
+ 8, -1, -1, -1, -1, 41, 14, -1, -1, -1,
+ 18, -1, -1, -1, 22, 23, -1, 53, -1, 27,
+ -1, 29, 30, -1, 60, -1, 62, -1, 64, 65,
+ 66, 67, -1, 41, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, -1, -1, 53, -1, -1, -1, -1,
+ -1, -1, 60, -1, 62, 1, 64, 65, 4, 67,
+ -1, 7, -1, -1, -1, -1, -1, 13, 14, 15,
+ 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
+ 26, 27, 28, 29, 30, 31, -1, -1, -1, -1,
+ -1, -1, -1, -1, -1, 41, 9, 10, 11, 12,
+ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+ -1, -1, 25, 26, 60, -1, 62, -1, -1, 32,
+ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1,
+ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52,
+ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12,
+ 63, -1, -1, 66, -1, -1, -1, -1, -1, -1,
+ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32,
+ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1,
+ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52,
+ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12,
+ -1, -1, -1, 66, -1, -1, -1, -1, -1, -1,
+ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32,
+ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1,
+ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52,
+ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12,
+ -1, -1, -1, 66, -1, -1, -1, -1, -1, -1,
+ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32,
+ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1,
+ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52,
+ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12,
+ -1, -1, -1, 66, -1, -1, -1, -1, -1, -1,
+ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32,
+ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1,
+ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52,
+ 53, 54, 55, 56, -1, 58, 59, -1, 61, 9,
+ 10, 11, 12, -1, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, -1, -1, 25, 26, -1, -1, -1,
+ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39,
+ -1, -1, -1, 9, 10, 11, 12, 47, 48, 49,
+ 50, 51, 52, 53, 54, 55, 56, -1, 58, 25,
+ 26, 61, -1, -1, -1, -1, 32, 33, 34, 35,
+ 36, 37, 38, 39, -1, -1, -1, 9, 10, 11,
+ 12, 47, 48, 49, 50, 51, 52, 53, 54, 55,
+ 56, -1, 58, 25, 26, 61, -1, -1, -1, -1,
+ 32, 33, 34, 35, 36, 37, 38, 39, -1, -1,
+ -1, 9, 10, 11, 12, 47, 48, 49, 50, 51,
+ 52, 53, 54, 55, 56, -1, 58, 25, 26, 61,
+ -1, -1, -1, -1, 32, 33, 34, 35, 36, 37,
+ 38, 39, -1, -1, -1, 9, 10, 11, 12, 47,
+ 48, 49, 50, 51, 52, 53, 54, 55, 56, -1,
+ 58, 25, 26, 61, -1, -1, -1, -1, 32, 33,
+ 34, 35, 36, 37, 38, 39, -1, -1, -1, 9,
+ 10, 11, 12, 47, 48, 49, 50, 51, 52, 53,
+ 54, 55, 56, -1, 58, 25, 26, 61, -1, -1,
+ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39,
+ -1, -1, -1, -1, -1, -1, -1, 47, 48, 49,
+ 50, 51, 52, 53, 54, 55, 56, -1, 58, 59,
+ 9, 10, 11, 12, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, -1, -1, -1, 25, 26, -1, -1,
+ -1, -1, -1, 32, 33, 34, 35, 36, 37, 38,
+ 39, -1, -1, -1, -1, -1, -1, -1, 47, 48,
+ 49, 50, 51, 52, 53, 54, 55, 56, -1, 58,
+ 59, 9, 10, 11, 12, -1, -1, -1, -1, -1,
+ -1, -1, -1, -1, -1, -1, -1, 25, 26, -1,
+ -1, -1, -1, -1, 32, 33, 34, 35, 36, 37,
+ 38, 39, -1, -1, -1, -1, -1, -1, -1, 47,
+ 48, 49, 50, 51, 52, 53, 54, 55, 56, -1,
+ 58, 59, 9, 10, 11, 12, -1, -1, -1, -1,
+ -1, -1, -1, -1, -1, -1, -1, -1, 25, 26,
+ -1, -1, -1, -1, -1, 32, 33, 34, 35, 36,
+ 37, 38, 39, -1, -1, -1, -1, -1, -1, -1,
+ 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,
+ -1, 58, 59, 9, 10, 11, 12, -1, -1, -1,
+ -1, -1, -1, -1, -1, -1, -1, -1, -1, 25,
+ 26, -1, -1, -1, -1, -1, 32, 33, 34, 35,
+ 36, 37, 38, 39, -1, -1, -1, -1, -1, -1,
+ -1, 47, 48, 49, 50, 51, 52, 53, 54, 55,
+ 56, -1, 58, 59, 9, 10, 11, 12, -1, -1,
+ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+ 25, 26, -1, -1, -1, -1, -1, 32, 33, 34,
+ 35, 36, 37, 38, 39, -1, -1, -1, -1, -1,
+ -1, -1, 47, 48, 49, 50, 51, 52, 53, 54,
+ 55, 56, -1, 58, 59, 9, 10, 11, 12, -1,
+ -1, -1, -1, -1, -1, -1, 20, 21, -1, -1,
+ -1, 25, 26, -1, -1, -1, -1, -1, 32, 33,
+ 34, 35, 36, 37, 38, 39, -1, -1, -1, -1,
+ -1, -1, -1, 47, 48, 49, 50, 51, 52, 53,
+ 54, 55, 56, -1, 58, 9, 10, 11, 12, -1,
+ -1, -1, -1, -1, -1, 19, -1, -1, -1, -1,
+ -1, 25, 26, -1, -1, -1, -1, -1, 32, 33,
+ 34, 35, 36, 37, 38, 39, -1, -1, -1, 9,
+ 10, 11, 12, 47, 48, 49, 50, 51, 52, 53,
+ 54, 55, 56, -1, 58, 25, 26, -1, -1, -1,
+ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39,
+ -1, -1, -1, -1, 44, -1, -1, 47, 48, 49,
+ 50, 51, 52, 53, 54, 55, 56, -1, 58, 9,
+ 10, 11, 12, -1, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, -1, 24, 25, 26, -1, -1, -1,
+ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39,
+ -1, -1, -1, -1, -1, -1, -1, 47, 48, 49,
+ 50, 51, 52, 53, 54, 55, 56, -1, 58, 9,
+ 10, 11, 12, -1, -1, -1, -1, -1, -1, 19,
+ -1, -1, -1, -1, -1, 25, 26, -1, -1, -1,
+ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39,
+ -1, -1, -1, 9, 10, 11, 12, 47, 48, 49,
+ 50, 51, 52, 53, 54, 55, 56, -1, 58, 25,
+ 26, -1, -1, -1, -1, -1, 32, 33, 34, 35,
+ 36, 37, 38, 39, -1, -1, -1, 9, 10, 11,
+ 12, 47, 48, 49, 50, 51, 52, 53, 54, 55,
+ 56, -1, 58, 25, 26, -1, -1, -1, -1, -1,
+ 32, 33, 34, 35, 36, 37, 38, 39, -1, -1,
+ -1, 9, 10, 11, -1, -1, -1, 49, 50, 51,
+ 52, 53, 54, 55, 56, -1, 58, 25, 26, -1,
+ -1, -1, -1, -1, 32, 33, 34, 35, 36, 37,
+ 38, 39, -1, -1, 10, 11, -1, -1, -1, -1,
+ -1, 49, 50, 51, 52, 53, 54, 55, 56, 25,
+ 58, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+ -1, -1, 38, 39, -1, -1, -1, -1, -1, -1,
+ -1, -1, -1, -1, 50, 51, 52, 53, 54, 55,
+ 56, -1, 58
+};
+
+ /* YYSTOS[STATE-NUM] -- The (internal number of the) accessing
+ symbol of state STATE-NUM. */
+static const yytype_int8 yystos[] =
+{
+ 0, 15, 70, 71, 4, 5, 6, 7, 8, 14,
+ 18, 22, 23, 27, 29, 30, 41, 53, 60, 62,
+ 64, 65, 67, 74, 78, 81, 87, 0, 16, 17,
+ 72, 75, 76, 60, 58, 41, 4, 74, 87, 87,
+ 74, 62, 1, 62, 82, 74, 1, 74, 4, 31,
+ 1, 4, 7, 81, 1, 66, 74, 1, 4, 13,
+ 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
+ 24, 25, 26, 27, 28, 29, 30, 31, 60, 62,
+ 81, 96, 97, 98, 9, 10, 11, 12, 25, 26,
+ 32, 33, 34, 35, 36, 37, 38, 39, 47, 48,
+ 49, 50, 51, 52, 53, 54, 55, 56, 58, 59,
+ 74, 5, 13, 64, 65, 77, 81, 77, 73, 74,
+ 78, 72, 59, 74, 74, 88, 89, 83, 60, 63,
+ 19, 13, 13, 28, 4, 4, 84, 61, 61, 1,
+ 58, 66, 66, 48, 63, 68, 63, 74, 4, 63,
+ 63, 68, 48, 74, 74, 74, 74, 74, 74, 74,
+ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74,
+ 74, 74, 74, 74, 74, 74, 74, 58, 62, 65,
+ 67, 90, 91, 92, 81, 1, 63, 66, 74, 13,
+ 73, 59, 59, 61, 84, 4, 62, 79, 80, 74,
+ 1, 74, 91, 91, 1, 74, 47, 42, 43, 45,
+ 1, 97, 53, 86, 87, 86, 61, 86, 86, 97,
+ 4, 92, 93, 1, 4, 60, 62, 81, 94, 95,
+ 96, 40, 47, 58, 66, 74, 58, 63, 66, 4,
+ 62, 89, 45, 4, 59, 61, 59, 20, 21, 85,
+ 60, 60, 74, 74, 86, 47, 63, 48, 66, 63,
+ 63, 74, 4, 63, 48, 68, 63, 92, 74, 66,
+ 66, 74, 58, 4, 80, 63, 74, 74, 74, 74,
+ 44, 86, 86, 92, 92, 92, 61, 63, 92, 95,
+ 92, 58, 58, 66, 74, 24, 19, 59, 59, 63,
+ 92, 58, 59, 74, 74, 74, 92, 85, 61, 59,
+ 61, 74, 61
+};
+
+ /* YYR1[YYN] -- Symbol number of symbol that rule YYN derives. */
+static const yytype_int8 yyr1[] =
+{
+ 0, 69, 70, 70, 71, 71, 72, 72, 73, 73,
+ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74,
+ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74,
+ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74,
+ 74, 74, 74, 74, 74, 74, 74, 74, 75, 75,
+ 76, 76, 76, 77, 78, 78, 79, 79, 80, 80,
+ 82, 81, 83, 81, 84, 84, 84, 85, 85, 86,
+ 86, 86, 87, 87, 87, 87, 87, 87, 87, 87,
+ 87, 87, 87, 87, 87, 87, 87, 87, 87, 87,
+ 87, 87, 87, 87, 87, 87, 87, 87, 87, 87,
+ 87, 87, 87, 87, 87, 87, 87, 87, 87, 87,
+ 87, 88, 88, 89, 90, 90, 91, 91, 92, 92,
+ 92, 93, 93, 94, 94, 95, 95, 95, 95, 95,
+ 95, 95, 96, 96, 96, 96, 96, 96, 96, 96,
+ 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,
+ 96, 97, 97, 97, 97, 98, 98, 98, 98, 98,
+ 98, 98, 98
+};
+
+ /* YYR2[YYN] -- Number of symbols on the right hand side of rule YYN. */
+static const yytype_int8 yyr2[] =
+{
+ 0, 2, 3, 3, 0, 3, 0, 2, 0, 2,
+ 2, 5, 9, 11, 9, 5, 4, 4, 2, 4,
+ 5, 2, 3, 3, 3, 3, 3, 3, 3, 3,
+ 3, 3, 2, 3, 3, 3, 3, 3, 3, 3,
+ 3, 3, 3, 3, 3, 3, 3, 1, 2, 3,
+ 5, 4, 2, 1, 5, 8, 1, 3, 2, 1,
+ 0, 4, 0, 5, 0, 2, 4, 5, 3, 3,
+ 2, 1, 1, 1, 3, 2, 3, 2, 4, 3,
+ 2, 1, 3, 2, 2, 3, 5, 4, 4, 3,
+ 7, 6, 6, 6, 5, 5, 1, 1, 1, 3,
+ 3, 2, 3, 2, 2, 1, 4, 3, 3, 4,
+ 3, 1, 3, 1, 3, 1, 3, 1, 2, 3,
+ 3, 1, 3, 1, 3, 2, 4, 3, 3, 3,
+ 5, 3, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 0, 1, 3, 3, 3, 3, 3, 1, 2,
+ 1, 5, 3
+};
+
+
+enum { YYENOMEM = -2 };
+
+#define yyerrok (yyerrstatus = 0)
+#define yyclearin (yychar = YYEMPTY)
+
+#define YYACCEPT goto yyacceptlab
+#define YYABORT goto yyabortlab
+#define YYERROR goto yyerrorlab
+
+
+#define YYRECOVERING() (!!yyerrstatus)
+
+#define YYBACKUP(Token, Value) \
+ do \
+ if (yychar == YYEMPTY) \
+ { \
+ yychar = (Token); \
+ yylval = (Value); \
+ YYPOPSTACK (yylen); \
+ yystate = *yyssp; \
+ goto yybackup; \
+ } \
+ else \
+ { \
+ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("syntax error: cannot back up")); \
+ YYERROR; \
+ } \
+ while (0)
+
+/* Backward compatibility with an undocumented macro.
+ Use YYerror or YYUNDEF. */
+#define YYERRCODE YYUNDEF
+
+/* YYLLOC_DEFAULT -- Set CURRENT to span from RHS[1] to RHS[N].
+ If N is 0, then set CURRENT to the empty location which ends
+ the previous symbol: RHS[0] (always defined). */
+
+#ifndef YYLLOC_DEFAULT
+# define YYLLOC_DEFAULT(Current, Rhs, N) \
+ do \
+ if (N) \
+ { \
+ (Current).first_line = YYRHSLOC (Rhs, 1).first_line; \
+ (Current).first_column = YYRHSLOC (Rhs, 1).first_column; \
+ (Current).last_line = YYRHSLOC (Rhs, N).last_line; \
+ (Current).last_column = YYRHSLOC (Rhs, N).last_column; \
+ } \
+ else \
+ { \
+ (Current).first_line = (Current).last_line = \
+ YYRHSLOC (Rhs, 0).last_line; \
+ (Current).first_column = (Current).last_column = \
+ YYRHSLOC (Rhs, 0).last_column; \
+ } \
+ while (0)
+#endif
+
+#define YYRHSLOC(Rhs, K) ((Rhs)[K])
+
+
+/* Enable debugging if requested. */
+#if YYDEBUG
+
+# ifndef YYFPRINTF
+# include <stdio.h> /* INFRINGES ON USER NAME SPACE */
+# define YYFPRINTF fprintf
+# endif
+
+# define YYDPRINTF(Args) \
+do { \
+ if (yydebug) \
+ YYFPRINTF Args; \
+} while (0)
+
+
+/* YY_LOCATION_PRINT -- Print the location on the stream.
+ This macro was not mandated originally: define only if we know
+ we won't break user code: when these are the locations we know. */
+
+# ifndef YY_LOCATION_PRINT
+# if defined YYLTYPE_IS_TRIVIAL && YYLTYPE_IS_TRIVIAL
+
+/* Print *YYLOCP on YYO. Private, do not rely on its existence. */
+
+YY_ATTRIBUTE_UNUSED
+static int
+yy_location_print_ (FILE *yyo, YYLTYPE const * const yylocp)
+{
+ int res = 0;
+ int end_col = 0 != yylocp->last_column ? yylocp->last_column - 1 : 0;
+ if (0 <= yylocp->first_line)
+ {
+ res += YYFPRINTF (yyo, "%d", yylocp->first_line);
+ if (0 <= yylocp->first_column)
+ res += YYFPRINTF (yyo, ".%d", yylocp->first_column);
+ }
+ if (0 <= yylocp->last_line)
+ {
+ if (yylocp->first_line < yylocp->last_line)
+ {
+ res += YYFPRINTF (yyo, "-%d", yylocp->last_line);
+ if (0 <= end_col)
+ res += YYFPRINTF (yyo, ".%d", end_col);
+ }
+ else if (0 <= end_col && yylocp->first_column < end_col)
+ res += YYFPRINTF (yyo, "-%d", end_col);
+ }
+ return res;
+ }
+
+# define YY_LOCATION_PRINT(File, Loc) \
+ yy_location_print_ (File, &(Loc))
+
+# else
+# define YY_LOCATION_PRINT(File, Loc) ((void) 0)
+# endif
+# endif /* !defined YY_LOCATION_PRINT */
+
+
+# define YY_SYMBOL_PRINT(Title, Kind, Value, Location) \
+do { \
+ if (yydebug) \
+ { \
+ YYFPRINTF (stderr, "%s ", Title); \
+ yy_symbol_print (stderr, \
+ Kind, Value, Location, answer, errors, locations, lexer_param_ptr); \
+ YYFPRINTF (stderr, "\n"); \
+ } \
+} while (0)
+
+
+/*-----------------------------------.
+| Print this symbol's value on YYO. |
+`-----------------------------------*/
+
+static void
+yy_symbol_value_print (FILE *yyo,
+ yysymbol_kind_t yykind, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
+{
+ FILE *yyoutput = yyo;
+ YYUSE (yyoutput);
+ YYUSE (yylocationp);
+ YYUSE (answer);
+ YYUSE (errors);
+ YYUSE (locations);
+ YYUSE (lexer_param_ptr);
+ if (!yyvaluep)
+ return;
+# ifdef YYPRINT
+ if (yykind < YYNTOKENS)
+ YYPRINT (yyo, yytoknum[yykind], *yyvaluep);
+# endif
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ YYUSE (yykind);
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+}
+
+
+/*---------------------------.
+| Print this symbol on YYO. |
+`---------------------------*/
+
+static void
+yy_symbol_print (FILE *yyo,
+ yysymbol_kind_t yykind, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
+{
+ YYFPRINTF (yyo, "%s %s (",
+ yykind < YYNTOKENS ? "token" : "nterm", yysymbol_name (yykind));
+
+ YY_LOCATION_PRINT (yyo, *yylocationp);
+ YYFPRINTF (yyo, ": ");
+ yy_symbol_value_print (yyo, yykind, yyvaluep, yylocationp, answer, errors, locations, lexer_param_ptr);
+ YYFPRINTF (yyo, ")");
+}
+
+/*------------------------------------------------------------------.
+| yy_stack_print -- Print the state stack from its BOTTOM up to its |
+| TOP (included). |
+`------------------------------------------------------------------*/
+
+static void
+yy_stack_print (yy_state_t *yybottom, yy_state_t *yytop)
+{
+ YYFPRINTF (stderr, "Stack now");
+ for (; yybottom <= yytop; yybottom++)
+ {
+ int yybot = *yybottom;
+ YYFPRINTF (stderr, " %d", yybot);
+ }
+ YYFPRINTF (stderr, "\n");
+}
+
+# define YY_STACK_PRINT(Bottom, Top) \
+do { \
+ if (yydebug) \
+ yy_stack_print ((Bottom), (Top)); \
+} while (0)
+
+
+/*------------------------------------------------.
+| Report that the YYRULE is going to be reduced. |
+`------------------------------------------------*/
+
+static void
+yy_reduce_print (yy_state_t *yyssp, YYSTYPE *yyvsp, YYLTYPE *yylsp,
+ int yyrule, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
+{
+ int yylno = yyrline[yyrule];
+ int yynrhs = yyr2[yyrule];
+ int yyi;
+ YYFPRINTF (stderr, "Reducing stack by rule %d (line %d):\n",
+ yyrule - 1, yylno);
+ /* The symbols being reduced. */
+ for (yyi = 0; yyi < yynrhs; yyi++)
+ {
+ YYFPRINTF (stderr, " $%d = ", yyi + 1);
+ yy_symbol_print (stderr,
+ YY_ACCESSING_SYMBOL (+yyssp[yyi + 1 - yynrhs]),
+ &yyvsp[(yyi + 1) - (yynrhs)],
+ &(yylsp[(yyi + 1) - (yynrhs)]), answer, errors, locations, lexer_param_ptr);
+ YYFPRINTF (stderr, "\n");
+ }
+}
+
+# define YY_REDUCE_PRINT(Rule) \
+do { \
+ if (yydebug) \
+ yy_reduce_print (yyssp, yyvsp, yylsp, Rule, answer, errors, locations, lexer_param_ptr); \
+} while (0)
+
+/* Nonzero means print parse trace. It is left uninitialized so that
+ multiple parsers can coexist. */
+int yydebug;
+#else /* !YYDEBUG */
+# define YYDPRINTF(Args) ((void) 0)
+# define YY_SYMBOL_PRINT(Title, Kind, Value, Location)
+# define YY_STACK_PRINT(Bottom, Top)
+# define YY_REDUCE_PRINT(Rule)
+#endif /* !YYDEBUG */
+
+
+/* YYINITDEPTH -- initial size of the parser's stacks. */
+#ifndef YYINITDEPTH
+# define YYINITDEPTH 200
+#endif
+
+/* YYMAXDEPTH -- maximum size the stacks can grow to (effective only
+ if the built-in stack extension method is used).
+
+ Do not make this value too large; the results are undefined if
+ YYSTACK_ALLOC_MAXIMUM < YYSTACK_BYTES (YYMAXDEPTH)
+ evaluated with infinite-precision integer arithmetic. */
+
+#ifndef YYMAXDEPTH
+# define YYMAXDEPTH 10000
+#endif
+
+
+/* Context of a parse error. */
+typedef struct
+{
+ yy_state_t *yyssp;
+ yysymbol_kind_t yytoken;
+ YYLTYPE *yylloc;
+} yypcontext_t;
+
+/* Put in YYARG at most YYARGN of the expected tokens given the
+ current YYCTX, and return the number of tokens stored in YYARG. If
+ YYARG is null, return the number of expected tokens (guaranteed to
+ be less than YYNTOKENS). Return YYENOMEM on memory exhaustion.
+ Return 0 if there are more than YYARGN expected tokens, yet fill
+ YYARG up to YYARGN. */
+static int
+yypcontext_expected_tokens (const yypcontext_t *yyctx,
+ yysymbol_kind_t yyarg[], int yyargn)
+{
+ /* Actual size of YYARG. */
+ int yycount = 0;
+ int yyn = yypact[+*yyctx->yyssp];
+ if (!yypact_value_is_default (yyn))
+ {
+ /* Start YYX at -YYN if negative to avoid negative indexes in
+ YYCHECK. In other words, skip the first -YYN actions for
+ this state because they are default actions. */
+ int yyxbegin = yyn < 0 ? -yyn : 0;
+ /* Stay within bounds of both yycheck and yytname. */
+ int yychecklim = YYLAST - yyn + 1;
+ int yyxend = yychecklim < YYNTOKENS ? yychecklim : YYNTOKENS;
+ int yyx;
+ for (yyx = yyxbegin; yyx < yyxend; ++yyx)
+ if (yycheck[yyx + yyn] == yyx && yyx != YYSYMBOL_YYerror
+ && !yytable_value_is_error (yytable[yyx + yyn]))
+ {
+ if (!yyarg)
+ ++yycount;
+ else if (yycount == yyargn)
+ return 0;
+ else
+ yyarg[yycount++] = YY_CAST (yysymbol_kind_t, yyx);
+ }
+ }
+ if (yyarg && yycount == 0 && 0 < yyargn)
+ yyarg[0] = YYSYMBOL_YYEMPTY;
+ return yycount;
+}
+
+
+
+
+#ifndef yystrlen
+# if defined __GLIBC__ && defined _STRING_H
+# define yystrlen(S) (YY_CAST (YYPTRDIFF_T, strlen (S)))
+# else
+/* Return the length of YYSTR. */
+static YYPTRDIFF_T
+yystrlen (const char *yystr)
+{
+ YYPTRDIFF_T yylen;
+ for (yylen = 0; yystr[yylen]; yylen++)
+ continue;
+ return yylen;
+}
+# endif
+#endif
+
+#ifndef yystpcpy
+# if defined __GLIBC__ && defined _STRING_H && defined _GNU_SOURCE
+# define yystpcpy stpcpy
+# else
+/* Copy YYSRC to YYDEST, returning the address of the terminating '\0' in
+ YYDEST. */
+static char *
+yystpcpy (char *yydest, const char *yysrc)
+{
+ char *yyd = yydest;
+ const char *yys = yysrc;
+
+ while ((*yyd++ = *yys++) != '\0')
+ continue;
+
+ return yyd - 1;
+}
+# endif
+#endif
+
+#ifndef yytnamerr
+/* Copy to YYRES the contents of YYSTR after stripping away unnecessary
+ quotes and backslashes, so that it's suitable for yyerror. The
+ heuristic is that double-quoting is unnecessary unless the string
+ contains an apostrophe, a comma, or backslash (other than
+ backslash-backslash). YYSTR is taken from yytname. If YYRES is
+ null, do not copy; instead, return the length of what the result
+ would have been. */
+static YYPTRDIFF_T
+yytnamerr (char *yyres, const char *yystr)
+{
+ if (*yystr == '"')
+ {
+ YYPTRDIFF_T yyn = 0;
+ char const *yyp = yystr;
+ for (;;)
+ switch (*++yyp)
+ {
+ case '\'':
+ case ',':
+ goto do_not_strip_quotes;
+
+ case '\\':
+ if (*++yyp != '\\')
+ goto do_not_strip_quotes;
+ else
+ goto append;
+
+ append:
+ default:
+ if (yyres)
+ yyres[yyn] = *yyp;
+ yyn++;
+ break;
+
+ case '"':
+ if (yyres)
+ yyres[yyn] = '\0';
+ return yyn;
+ }
+ do_not_strip_quotes: ;
+ }
+
+ if (yyres)
+ return yystpcpy (yyres, yystr) - yyres;
+ else
+ return yystrlen (yystr);
+}
+#endif
+
+
+static int
+yy_syntax_error_arguments (const yypcontext_t *yyctx,
+ yysymbol_kind_t yyarg[], int yyargn)
+{
+ /* Actual size of YYARG. */
+ int yycount = 0;
+ /* There are many possibilities here to consider:
+ - If this state is a consistent state with a default action, then
+ the only way this function was invoked is if the default action
+ is an error action. In that case, don't check for expected
+ tokens because there are none.
+ - The only way there can be no lookahead present (in yychar) is if
+ this state is a consistent state with a default action. Thus,
+ detecting the absence of a lookahead is sufficient to determine
+ that there is no unexpected or expected token to report. In that
+ case, just report a simple "syntax error".
+ - Don't assume there isn't a lookahead just because this state is a
+ consistent state with a default action. There might have been a
+ previous inconsistent state, consistent state with a non-default
+ action, or user semantic action that manipulated yychar.
+ - Of course, the expected token list depends on states to have
+ correct lookahead information, and it depends on the parser not
+ to perform extra reductions after fetching a lookahead from the
+ scanner and before detecting a syntax error. Thus, state merging
+ (from LALR or IELR) and default reductions corrupt the expected
+ token list. However, the list is correct for canonical LR with
+ one exception: it will still contain any token that will not be
+ accepted due to an error action in a later state.
+ */
+ if (yyctx->yytoken != YYSYMBOL_YYEMPTY)
+ {
+ int yyn;
+ if (yyarg)
+ yyarg[yycount] = yyctx->yytoken;
+ ++yycount;
+ yyn = yypcontext_expected_tokens (yyctx,
+ yyarg ? yyarg + 1 : yyarg, yyargn - 1);
+ if (yyn == YYENOMEM)
+ return YYENOMEM;
+ else
+ yycount += yyn;
+ }
+ return yycount;
+}
+
+/* Copy into *YYMSG, which is of size *YYMSG_ALLOC, an error message
+ about the unexpected token YYTOKEN for the state stack whose top is
+ YYSSP.
+
+ Return 0 if *YYMSG was successfully written. Return -1 if *YYMSG is
+ not large enough to hold the message. In that case, also set
+ *YYMSG_ALLOC to the required number of bytes. Return YYENOMEM if the
+ required number of bytes is too large to store. */
+static int
+yysyntax_error (YYPTRDIFF_T *yymsg_alloc, char **yymsg,
+ const yypcontext_t *yyctx)
+{
+ enum { YYARGS_MAX = 5 };
+ /* Internationalized format string. */
+ const char *yyformat = YY_NULLPTR;
+ /* Arguments of yyformat: reported tokens (one for the "unexpected",
+ one per "expected"). */
+ yysymbol_kind_t yyarg[YYARGS_MAX];
+ /* Cumulated lengths of YYARG. */
+ YYPTRDIFF_T yysize = 0;
+
+ /* Actual size of YYARG. */
+ int yycount = yy_syntax_error_arguments (yyctx, yyarg, YYARGS_MAX);
+ if (yycount == YYENOMEM)
+ return YYENOMEM;
+
+ switch (yycount)
+ {
+#define YYCASE_(N, S) \
+ case N: \
+ yyformat = S; \
+ break
+ default: /* Avoid compiler warnings. */
+ YYCASE_(0, YY_("syntax error"));
+ YYCASE_(1, YY_("syntax error, unexpected %s"));
+ YYCASE_(2, YY_("syntax error, unexpected %s, expecting %s"));
+ YYCASE_(3, YY_("syntax error, unexpected %s, expecting %s or %s"));
+ YYCASE_(4, YY_("syntax error, unexpected %s, expecting %s or %s or %s"));
+ YYCASE_(5, YY_("syntax error, unexpected %s, expecting %s or %s or %s or %s"));
+#undef YYCASE_
+ }
+
+ /* Compute error message size. Don't count the "%s"s, but reserve
+ room for the terminator. */
+ yysize = yystrlen (yyformat) - 2 * yycount + 1;
+ {
+ int yyi;
+ for (yyi = 0; yyi < yycount; ++yyi)
+ {
+ YYPTRDIFF_T yysize1
+ = yysize + yytnamerr (YY_NULLPTR, yytname[yyarg[yyi]]);
+ if (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM)
+ yysize = yysize1;
+ else
+ return YYENOMEM;
+ }
+ }
+
+ if (*yymsg_alloc < yysize)
+ {
+ *yymsg_alloc = 2 * yysize;
+ if (! (yysize <= *yymsg_alloc
+ && *yymsg_alloc <= YYSTACK_ALLOC_MAXIMUM))
+ *yymsg_alloc = YYSTACK_ALLOC_MAXIMUM;
+ return -1;
+ }
+
+ /* Avoid sprintf, as that infringes on the user's name space.
+ Don't have undefined behavior even if the translation
+ produced a string with the wrong number of "%s"s. */
+ {
+ char *yyp = *yymsg;
+ int yyi = 0;
+ while ((*yyp = *yyformat) != '\0')
+ if (*yyp == '%' && yyformat[1] == 's' && yyi < yycount)
+ {
+ yyp += yytnamerr (yyp, yytname[yyarg[yyi++]]);
+ yyformat += 2;
+ }
+ else
+ {
+ ++yyp;
+ ++yyformat;
+ }
+ }
+ return 0;
+}
+
+
+/*-----------------------------------------------.
+| Release the memory associated to this symbol. |
+`-----------------------------------------------*/
+
+static void
+yydestruct (const char *yymsg,
+ yysymbol_kind_t yykind, YYSTYPE *yyvaluep, YYLTYPE *yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
+{
+ YYUSE (yyvaluep);
+ YYUSE (yylocationp);
+ YYUSE (answer);
+ YYUSE (errors);
+ YYUSE (locations);
+ YYUSE (lexer_param_ptr);
+ if (!yymsg)
+ yymsg = "Deleting";
+ YY_SYMBOL_PRINT (yymsg, yykind, yyvaluep, yylocationp);
+
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ switch (yykind)
+ {
+ case YYSYMBOL_IDENT: /* IDENT */
+#line 36 "parser.y"
+ { jv_free(((*yyvaluep).literal)); }
+#line 2159 "y.tab.c"
+ break;
+
+ case YYSYMBOL_FIELD: /* FIELD */
+#line 36 "parser.y"
+ { jv_free(((*yyvaluep).literal)); }
+#line 2165 "y.tab.c"
+ break;
+
+ case YYSYMBOL_LITERAL: /* LITERAL */
+#line 36 "parser.y"
+ { jv_free(((*yyvaluep).literal)); }
+#line 2171 "y.tab.c"
+ break;
+
+ case YYSYMBOL_FORMAT: /* FORMAT */
+#line 36 "parser.y"
+ { jv_free(((*yyvaluep).literal)); }
+#line 2177 "y.tab.c"
+ break;
+
+ case YYSYMBOL_QQSTRING_TEXT: /* QQSTRING_TEXT */
+#line 36 "parser.y"
+ { jv_free(((*yyvaluep).literal)); }
+#line 2183 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Module: /* Module */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2189 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Imports: /* Imports */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2195 "y.tab.c"
+ break;
+
+ case YYSYMBOL_FuncDefs: /* FuncDefs */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2201 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Exp: /* Exp */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2207 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Import: /* Import */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2213 "y.tab.c"
+ break;
+
+ case YYSYMBOL_ImportWhat: /* ImportWhat */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2219 "y.tab.c"
+ break;
+
+ case YYSYMBOL_ImportFrom: /* ImportFrom */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2225 "y.tab.c"
+ break;
+
+ case YYSYMBOL_FuncDef: /* FuncDef */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2231 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Params: /* Params */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2237 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Param: /* Param */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2243 "y.tab.c"
+ break;
+
+ case YYSYMBOL_String: /* String */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2249 "y.tab.c"
+ break;
+
+ case YYSYMBOL_QQString: /* QQString */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2255 "y.tab.c"
+ break;
+
+ case YYSYMBOL_ElseBody: /* ElseBody */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2261 "y.tab.c"
+ break;
+
+ case YYSYMBOL_ExpD: /* ExpD */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2267 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Term: /* Term */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2273 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Args: /* Args */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2279 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Arg: /* Arg */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2285 "y.tab.c"
+ break;
+
+ case YYSYMBOL_RepPatterns: /* RepPatterns */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2291 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Patterns: /* Patterns */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2297 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Pattern: /* Pattern */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2303 "y.tab.c"
+ break;
+
+ case YYSYMBOL_ArrayPats: /* ArrayPats */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2309 "y.tab.c"
+ break;
+
+ case YYSYMBOL_ObjPats: /* ObjPats */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2315 "y.tab.c"
+ break;
+
+ case YYSYMBOL_ObjPat: /* ObjPat */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2321 "y.tab.c"
+ break;
+
+ case YYSYMBOL_Keyword: /* Keyword */
+#line 36 "parser.y"
+ { jv_free(((*yyvaluep).literal)); }
+#line 2327 "y.tab.c"
+ break;
+
+ case YYSYMBOL_MkDict: /* MkDict */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2333 "y.tab.c"
+ break;
+
+ case YYSYMBOL_MkDictPair: /* MkDictPair */
+#line 37 "parser.y"
+ { block_free(((*yyvaluep).blk)); }
+#line 2339 "y.tab.c"
+ break;
+
+ default:
+ break;
+ }
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+}
+
+
+
+
+
+
+/*----------.
+| yyparse. |
+`----------*/
+
+int
+yyparse (block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr)
+{
+/* Lookahead token kind. */
+int yychar;
+
+
+/* The semantic value of the lookahead symbol. */
+/* Default value used for initialization, for pacifying older GCCs
+ or non-GCC compilers. */
+YY_INITIAL_VALUE (static YYSTYPE yyval_default;)
+YYSTYPE yylval YY_INITIAL_VALUE (= yyval_default);
+
+/* Location data for the lookahead symbol. */
+static YYLTYPE yyloc_default
+# if defined YYLTYPE_IS_TRIVIAL && YYLTYPE_IS_TRIVIAL
+ = { 1, 1, 1, 1 }
+# endif
+;
+YYLTYPE yylloc = yyloc_default;
+
+ /* Number of syntax errors so far. */
+ int yynerrs = 0;
+
+ yy_state_fast_t yystate = 0;
+ /* Number of tokens to shift before error messages enabled. */
+ int yyerrstatus = 0;
+
+ /* Refer to the stacks through separate pointers, to allow yyoverflow
+ to reallocate them elsewhere. */
+
+ /* Their size. */
+ YYPTRDIFF_T yystacksize = YYINITDEPTH;
+
+ /* The state stack: array, bottom, top. */
+ yy_state_t yyssa[YYINITDEPTH];
+ yy_state_t *yyss = yyssa;
+ yy_state_t *yyssp = yyss;
+
+ /* The semantic value stack: array, bottom, top. */
+ YYSTYPE yyvsa[YYINITDEPTH];
+ YYSTYPE *yyvs = yyvsa;
+ YYSTYPE *yyvsp = yyvs;
+
+ /* The location stack: array, bottom, top. */
+ YYLTYPE yylsa[YYINITDEPTH];
+ YYLTYPE *yyls = yylsa;
+ YYLTYPE *yylsp = yyls;
+
+ int yyn;
+ /* The return value of yyparse. */
+ int yyresult;
+ /* Lookahead symbol kind. */
+ yysymbol_kind_t yytoken = YYSYMBOL_YYEMPTY;
+ /* The variables used to return semantic value and location from the
+ action routines. */
+ YYSTYPE yyval;
+ YYLTYPE yyloc;
+
+ /* The locations where the error started and ended. */
+ YYLTYPE yyerror_range[3];
+
+ /* Buffer for error messages, and its allocated size. */
+ char yymsgbuf[128];
+ char *yymsg = yymsgbuf;
+ YYPTRDIFF_T yymsg_alloc = sizeof yymsgbuf;
+
+#define YYPOPSTACK(N) (yyvsp -= (N), yyssp -= (N), yylsp -= (N))
+
+ /* The number of symbols on the RHS of the reduced rule.
+ Keep to zero when no symbol should be popped. */
+ int yylen = 0;
+
+ YYDPRINTF ((stderr, "Starting parse\n"));
+
+ yychar = YYEMPTY; /* Cause a token to be read. */
+ yylsp[0] = yylloc;
+ goto yysetstate;
+
+
+/*------------------------------------------------------------.
+| yynewstate -- push a new state, which is found in yystate. |
+`------------------------------------------------------------*/
+yynewstate:
+ /* In all cases, when you get here, the value and location stacks
+ have just been pushed. So pushing a state here evens the stacks. */
+ yyssp++;
+
+
+/*--------------------------------------------------------------------.
+| yysetstate -- set current state (the top of the stack) to yystate. |
+`--------------------------------------------------------------------*/
+yysetstate:
+ YYDPRINTF ((stderr, "Entering state %d\n", yystate));
+ YY_ASSERT (0 <= yystate && yystate < YYNSTATES);
+ YY_IGNORE_USELESS_CAST_BEGIN
+ *yyssp = YY_CAST (yy_state_t, yystate);
+ YY_IGNORE_USELESS_CAST_END
+ YY_STACK_PRINT (yyss, yyssp);
+
+ if (yyss + yystacksize - 1 <= yyssp)
+#if !defined yyoverflow && !defined YYSTACK_RELOCATE
+ goto yyexhaustedlab;
+#else
+ {
+ /* Get the current used size of the three stacks, in elements. */
+ YYPTRDIFF_T yysize = yyssp - yyss + 1;
+
+# if defined yyoverflow
+ {
+ /* Give user a chance to reallocate the stack. Use copies of
+ these so that the &'s don't force the real ones into
+ memory. */
+ yy_state_t *yyss1 = yyss;
+ YYSTYPE *yyvs1 = yyvs;
+ YYLTYPE *yyls1 = yyls;
+
+ /* Each stack pointer address is followed by the size of the
+ data in use in that stack, in bytes. This used to be a
+ conditional around just the two extra args, but that might
+ be undefined if yyoverflow is a macro. */
+ yyoverflow (YY_("memory exhausted"),
+ &yyss1, yysize * YYSIZEOF (*yyssp),
+ &yyvs1, yysize * YYSIZEOF (*yyvsp),
+ &yyls1, yysize * YYSIZEOF (*yylsp),
+ &yystacksize);
+ yyss = yyss1;
+ yyvs = yyvs1;
+ yyls = yyls1;
+ }
+# else /* defined YYSTACK_RELOCATE */
+ /* Extend the stack our own way. */
+ if (YYMAXDEPTH <= yystacksize)
+ goto yyexhaustedlab;
+ yystacksize *= 2;
+ if (YYMAXDEPTH < yystacksize)
+ yystacksize = YYMAXDEPTH;
+
+ {
+ yy_state_t *yyss1 = yyss;
+ union yyalloc *yyptr =
+ YY_CAST (union yyalloc *,
+ YYSTACK_ALLOC (YY_CAST (YYSIZE_T, YYSTACK_BYTES (yystacksize))));
+ if (! yyptr)
+ goto yyexhaustedlab;
+ YYSTACK_RELOCATE (yyss_alloc, yyss);
+ YYSTACK_RELOCATE (yyvs_alloc, yyvs);
+ YYSTACK_RELOCATE (yyls_alloc, yyls);
+# undef YYSTACK_RELOCATE
+ if (yyss1 != yyssa)
+ YYSTACK_FREE (yyss1);
+ }
+# endif
+
+ yyssp = yyss + yysize - 1;
+ yyvsp = yyvs + yysize - 1;
+ yylsp = yyls + yysize - 1;
+
+ YY_IGNORE_USELESS_CAST_BEGIN
+ YYDPRINTF ((stderr, "Stack size increased to %ld\n",
+ YY_CAST (long, yystacksize)));
+ YY_IGNORE_USELESS_CAST_END
+
+ if (yyss + yystacksize - 1 <= yyssp)
+ YYABORT;
+ }
+#endif /* !defined yyoverflow && !defined YYSTACK_RELOCATE */
+
+ if (yystate == YYFINAL)
+ YYACCEPT;
+
+ goto yybackup;
+
+
+/*-----------.
+| yybackup. |
+`-----------*/
+yybackup:
+ /* Do appropriate processing given the current state. Read a
+ lookahead token if we need one and don't already have one. */
+
+ /* First try to decide what to do without reference to lookahead token. */
+ yyn = yypact[yystate];
+ if (yypact_value_is_default (yyn))
+ goto yydefault;
+
+ /* Not known => get a lookahead token if don't already have one. */
+
+ /* YYCHAR is either empty, or end-of-input, or a valid lookahead. */
+ if (yychar == YYEMPTY)
+ {
+ YYDPRINTF ((stderr, "Reading a token\n"));
+ yychar = yylex (&yylval, &yylloc, answer, errors, locations, lexer_param_ptr);
+ }
+
+ if (yychar <= YYEOF)
+ {
+ yychar = YYEOF;
+ yytoken = YYSYMBOL_YYEOF;
+ YYDPRINTF ((stderr, "Now at end of input.\n"));
+ }
+ else if (yychar == YYerror)
+ {
+ /* The scanner already issued an error message, process directly
+ to error recovery. But do not keep the error token as
+ lookahead, it is too special and may lead us to an endless
+ loop in error recovery. */
+ yychar = YYUNDEF;
+ yytoken = YYSYMBOL_YYerror;
+ yyerror_range[1] = yylloc;
+ goto yyerrlab1;
+ }
+ else
+ {
+ yytoken = YYTRANSLATE (yychar);
+ YY_SYMBOL_PRINT ("Next token is", yytoken, &yylval, &yylloc);
+ }
+
+ /* If the proper action on seeing token YYTOKEN is to reduce or to
+ detect an error, take that action. */
+ yyn += yytoken;
+ if (yyn < 0 || YYLAST < yyn || yycheck[yyn] != yytoken)
+ goto yydefault;
+ yyn = yytable[yyn];
+ if (yyn <= 0)
+ {
+ if (yytable_value_is_error (yyn))
+ goto yyerrlab;
+ yyn = -yyn;
+ goto yyreduce;
+ }
+
+ /* Count tokens shifted since error; after three, turn off error
+ status. */
+ if (yyerrstatus)
+ yyerrstatus--;
+
+ /* Shift the lookahead token. */
+ YY_SYMBOL_PRINT ("Shifting", yytoken, &yylval, &yylloc);
+ yystate = yyn;
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ *++yyvsp = yylval;
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+ *++yylsp = yylloc;
+
+ /* Discard the shifted token. */
+ yychar = YYEMPTY;
+ goto yynewstate;
+
+
+/*-----------------------------------------------------------.
+| yydefault -- do the default action for the current state. |
+`-----------------------------------------------------------*/
+yydefault:
+ yyn = yydefact[yystate];
+ if (yyn == 0)
+ goto yyerrlab;
+ goto yyreduce;
+
+
+/*-----------------------------.
+| yyreduce -- do a reduction. |
+`-----------------------------*/
+yyreduce:
+ /* yyn is the number of a rule to reduce with. */
+ yylen = yyr2[yyn];
+
+ /* If YYLEN is nonzero, implement the default value of the action:
+ '$$ = $1'.
+
+ Otherwise, the following line sets YYVAL to garbage.
+ This behavior is undocumented and Bison
+ users should not rely upon it. Assigning to YYVAL
+ unconditionally makes the parser a bit smaller, and it avoids a
+ GCC warning that YYVAL may be used uninitialized. */
+ yyval = yyvsp[1-yylen];
+
+ /* Default location. */
+ YYLLOC_DEFAULT (yyloc, (yylsp - yylen), yylen);
+ yyerror_range[1] = yyloc;
+ YY_REDUCE_PRINT (yyn);
+ switch (yyn)
+ {
+ case 2: /* TopLevel: Module Imports Exp */
+#line 306 "parser.y"
+ {
+ *answer = BLOCK((yyvsp[-2].blk), (yyvsp[-1].blk), gen_op_simple(TOP), (yyvsp[0].blk));
+}
+#line 2645 "y.tab.c"
+ break;
+
+ case 3: /* TopLevel: Module Imports FuncDefs */
+#line 309 "parser.y"
+ {
+ *answer = BLOCK((yyvsp[-2].blk), (yyvsp[-1].blk), (yyvsp[0].blk));
+}
+#line 2653 "y.tab.c"
+ break;
+
+ case 4: /* Module: %empty */
+#line 314 "parser.y"
+ {
+ (yyval.blk) = gen_noop();
+}
+#line 2661 "y.tab.c"
+ break;
+
+ case 5: /* Module: "module" Exp ';' */
+#line 317 "parser.y"
+ {
+ if (!block_is_const((yyvsp[-1].blk))) {
+ FAIL((yyloc), "Module metadata must be constant");
+ (yyval.blk) = gen_noop();
+ block_free((yyvsp[-1].blk));
+ } else {
+ (yyval.blk) = gen_module((yyvsp[-1].blk));
+ }
+}
+#line 2675 "y.tab.c"
+ break;
+
+ case 6: /* Imports: %empty */
+#line 328 "parser.y"
+ {
+ (yyval.blk) = gen_noop();
+}
+#line 2683 "y.tab.c"
+ break;
+
+ case 7: /* Imports: Import Imports */
+#line 331 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-1].blk), (yyvsp[0].blk));
+}
+#line 2691 "y.tab.c"
+ break;
+
+ case 8: /* FuncDefs: %empty */
+#line 336 "parser.y"
+ {
+ (yyval.blk) = gen_noop();
+}
+#line 2699 "y.tab.c"
+ break;
+
+ case 9: /* FuncDefs: FuncDef FuncDefs */
+#line 339 "parser.y"
+ {
+ (yyval.blk) = block_bind((yyvsp[-1].blk), (yyvsp[0].blk), OP_IS_CALL_PSEUDO);
+}
+#line 2707 "y.tab.c"
+ break;
+
+ case 10: /* Exp: FuncDef Exp */
+#line 344 "parser.y"
+ {
+ (yyval.blk) = block_bind_referenced((yyvsp[-1].blk), (yyvsp[0].blk), OP_IS_CALL_PSEUDO);
+}
+#line 2715 "y.tab.c"
+ break;
+
+ case 11: /* Exp: Term "as" Patterns '|' Exp */
+#line 348 "parser.y"
+ {
+ (yyval.blk) = gen_destructure((yyvsp[-4].blk), (yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 2723 "y.tab.c"
+ break;
+
+ case 12: /* Exp: "reduce" Term "as" Patterns '(' Exp ';' Exp ')' */
+#line 351 "parser.y"
+ {
+ (yyval.blk) = gen_reduce((yyvsp[-7].blk), (yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk));
+}
+#line 2731 "y.tab.c"
+ break;
+
+ case 13: /* Exp: "foreach" Term "as" Patterns '(' Exp ';' Exp ';' Exp ')' */
+#line 355 "parser.y"
+ {
+ (yyval.blk) = gen_foreach((yyvsp[-9].blk), (yyvsp[-7].blk), (yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk));
+}
+#line 2739 "y.tab.c"
+ break;
+
+ case 14: /* Exp: "foreach" Term "as" Patterns '(' Exp ';' Exp ')' */
+#line 359 "parser.y"
+ {
+ (yyval.blk) = gen_foreach((yyvsp[-7].blk), (yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk), gen_noop());
+}
+#line 2747 "y.tab.c"
+ break;
+
+ case 15: /* Exp: "if" Exp "then" Exp ElseBody */
+#line 363 "parser.y"
+ {
+ (yyval.blk) = gen_cond((yyvsp[-3].blk), (yyvsp[-1].blk), (yyvsp[0].blk));
+}
+#line 2755 "y.tab.c"
+ break;
+
+ case 16: /* Exp: "if" Exp "then" error */
+#line 366 "parser.y"
+ {
+ FAIL((yyloc), "Possibly unterminated 'if' statement");
+ (yyval.blk) = (yyvsp[-2].blk);
+}
+#line 2764 "y.tab.c"
+ break;
+
+ case 17: /* Exp: "try" Exp "catch" Exp */
+#line 371 "parser.y"
+ {
+ //$$ = BLOCK(gen_op_target(FORK_OPT, $2), $2, $4);
+ (yyval.blk) = gen_try((yyvsp[-2].blk), gen_try_handler((yyvsp[0].blk)));
+}
+#line 2773 "y.tab.c"
+ break;
+
+ case 18: /* Exp: "try" Exp */
+#line 375 "parser.y"
+ {
+ //$$ = BLOCK(gen_op_target(FORK_OPT, $2), $2, gen_op_simple(BACKTRACK));
+ (yyval.blk) = gen_try((yyvsp[0].blk), gen_op_simple(BACKTRACK));
+}
+#line 2782 "y.tab.c"
+ break;
+
+ case 19: /* Exp: "try" Exp "catch" error */
+#line 379 "parser.y"
+ {
+ FAIL((yyloc), "Possibly unterminated 'try' statement");
+ (yyval.blk) = (yyvsp[-2].blk);
+}
+#line 2791 "y.tab.c"
+ break;
+
+ case 20: /* Exp: "label" '$' IDENT '|' Exp */
+#line 384 "parser.y"
+ {
+ jv v = jv_string_fmt("*label-%s", jv_string_value((yyvsp[-2].literal)));
+ (yyval.blk) = gen_location((yyloc), locations, gen_label(jv_string_value(v), (yyvsp[0].blk)));
+ jv_free((yyvsp[-2].literal));
+ jv_free(v);
+}
+#line 2802 "y.tab.c"
+ break;
+
+ case 21: /* Exp: Exp '?' */
+#line 391 "parser.y"
+ {
+ (yyval.blk) = gen_try((yyvsp[-1].blk), gen_op_simple(BACKTRACK));
+}
+#line 2810 "y.tab.c"
+ break;
+
+ case 22: /* Exp: Exp '=' Exp */
+#line 395 "parser.y"
+ {
+ (yyval.blk) = gen_call("_assign", BLOCK(gen_lambda((yyvsp[-2].blk)), gen_lambda((yyvsp[0].blk))));
+}
+#line 2818 "y.tab.c"
+ break;
+
+ case 23: /* Exp: Exp "or" Exp */
+#line 399 "parser.y"
+ {
+ (yyval.blk) = gen_or((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 2826 "y.tab.c"
+ break;
+
+ case 24: /* Exp: Exp "and" Exp */
+#line 403 "parser.y"
+ {
+ (yyval.blk) = gen_and((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 2834 "y.tab.c"
+ break;
+
+ case 25: /* Exp: Exp "//" Exp */
+#line 407 "parser.y"
+ {
+ (yyval.blk) = gen_definedor((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 2842 "y.tab.c"
+ break;
+
+ case 26: /* Exp: Exp "//=" Exp */
+#line 411 "parser.y"
+ {
+ (yyval.blk) = gen_definedor_assign((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 2850 "y.tab.c"
+ break;
+
+ case 27: /* Exp: Exp "|=" Exp */
+#line 415 "parser.y"
+ {
+ (yyval.blk) = gen_call("_modify", BLOCK(gen_lambda((yyvsp[-2].blk)), gen_lambda((yyvsp[0].blk))));
+}
+#line 2858 "y.tab.c"
+ break;
+
+ case 28: /* Exp: Exp '|' Exp */
+#line 419 "parser.y"
+ {
+ (yyval.blk) = block_join((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 2866 "y.tab.c"
+ break;
+
+ case 29: /* Exp: Exp ',' Exp */
+#line 423 "parser.y"
+ {
+ (yyval.blk) = gen_both((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 2874 "y.tab.c"
+ break;
+
+ case 30: /* Exp: Exp '+' Exp */
+#line 427 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '+');
+}
+#line 2882 "y.tab.c"
+ break;
+
+ case 31: /* Exp: Exp "+=" Exp */
+#line 431 "parser.y"
+ {
+ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '+');
+}
+#line 2890 "y.tab.c"
+ break;
+
+ case 32: /* Exp: '-' Exp */
+#line 435 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[0].blk), gen_call("_negate", gen_noop()));
+}
+#line 2898 "y.tab.c"
+ break;
+
+ case 33: /* Exp: Exp '-' Exp */
+#line 439 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '-');
+}
+#line 2906 "y.tab.c"
+ break;
+
+ case 34: /* Exp: Exp "-=" Exp */
+#line 443 "parser.y"
+ {
+ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '-');
+}
+#line 2914 "y.tab.c"
+ break;
+
+ case 35: /* Exp: Exp '*' Exp */
+#line 447 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '*');
+}
+#line 2922 "y.tab.c"
+ break;
+
+ case 36: /* Exp: Exp "*=" Exp */
+#line 451 "parser.y"
+ {
+ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '*');
+}
+#line 2930 "y.tab.c"
+ break;
+
+ case 37: /* Exp: Exp '/' Exp */
+#line 455 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '/');
+ if (block_is_const_inf((yyval.blk)))
+ FAIL((yyloc), "Division by zero?");
+}
+#line 2940 "y.tab.c"
+ break;
+
+ case 38: /* Exp: Exp '%' Exp */
+#line 461 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '%');
+ if (block_is_const_inf((yyval.blk)))
+ FAIL((yyloc), "Remainder by zero?");
+}
+#line 2950 "y.tab.c"
+ break;
+
+ case 39: /* Exp: Exp "/=" Exp */
+#line 467 "parser.y"
+ {
+ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '/');
+}
+#line 2958 "y.tab.c"
+ break;
+
+ case 40: /* Exp: Exp "%=" Exp */
+#line 471 "parser.y"
+ {
+ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '%');
+}
+#line 2966 "y.tab.c"
+ break;
+
+ case 41: /* Exp: Exp "==" Exp */
+#line 475 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), EQ);
+}
+#line 2974 "y.tab.c"
+ break;
+
+ case 42: /* Exp: Exp "!=" Exp */
+#line 479 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), NEQ);
+}
+#line 2982 "y.tab.c"
+ break;
+
+ case 43: /* Exp: Exp '<' Exp */
+#line 483 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '<');
+}
+#line 2990 "y.tab.c"
+ break;
+
+ case 44: /* Exp: Exp '>' Exp */
+#line 487 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '>');
+}
+#line 2998 "y.tab.c"
+ break;
+
+ case 45: /* Exp: Exp "<=" Exp */
+#line 491 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), LESSEQ);
+}
+#line 3006 "y.tab.c"
+ break;
+
+ case 46: /* Exp: Exp ">=" Exp */
+#line 495 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), GREATEREQ);
+}
+#line 3014 "y.tab.c"
+ break;
+
+ case 47: /* Exp: Term */
+#line 499 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3022 "y.tab.c"
+ break;
+
+ case 48: /* Import: ImportWhat ';' */
+#line 504 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[-1].blk);
+}
+#line 3030 "y.tab.c"
+ break;
+
+ case 49: /* Import: ImportWhat Exp ';' */
+#line 507 "parser.y"
+ {
+ if (!block_is_const((yyvsp[-1].blk))) {
+ FAIL((yyloc), "Module metadata must be constant");
+ (yyval.blk) = gen_noop();
+ block_free((yyvsp[-2].blk));
+ block_free((yyvsp[-1].blk));
+ } else if (block_const_kind((yyvsp[-1].blk)) != JV_KIND_OBJECT) {
+ FAIL((yyloc), "Module metadata must be an object");
+ (yyval.blk) = gen_noop();
+ block_free((yyvsp[-2].blk));
+ block_free((yyvsp[-1].blk));
+ } else {
+ (yyval.blk) = gen_import_meta((yyvsp[-2].blk), (yyvsp[-1].blk));
+ }
+}
+#line 3050 "y.tab.c"
+ break;
+
+ case 50: /* ImportWhat: "import" ImportFrom "as" '$' IDENT */
+#line 524 "parser.y"
+ {
+ jv v = block_const((yyvsp[-3].blk));
+ // XXX Make gen_import take only blocks and the int is_data so we
+ // don't have to free so much stuff here
+ (yyval.blk) = gen_import(jv_string_value(v), jv_string_value((yyvsp[0].literal)), 1);
+ block_free((yyvsp[-3].blk));
+ jv_free((yyvsp[0].literal));
+ jv_free(v);
+}
+#line 3064 "y.tab.c"
+ break;
+
+ case 51: /* ImportWhat: "import" ImportFrom "as" IDENT */
+#line 533 "parser.y"
+ {
+ jv v = block_const((yyvsp[-2].blk));
+ (yyval.blk) = gen_import(jv_string_value(v), jv_string_value((yyvsp[0].literal)), 0);
+ block_free((yyvsp[-2].blk));
+ jv_free((yyvsp[0].literal));
+ jv_free(v);
+}
+#line 3076 "y.tab.c"
+ break;
+
+ case 52: /* ImportWhat: "include" ImportFrom */
+#line 540 "parser.y"
+ {
+ jv v = block_const((yyvsp[0].blk));
+ (yyval.blk) = gen_import(jv_string_value(v), NULL, 0);
+ block_free((yyvsp[0].blk));
+ jv_free(v);
+}
+#line 3087 "y.tab.c"
+ break;
+
+ case 53: /* ImportFrom: String */
+#line 548 "parser.y"
+ {
+ if (!block_is_const((yyvsp[0].blk))) {
+ FAIL((yyloc), "Import path must be constant");
+ (yyval.blk) = gen_const(jv_string(""));
+ block_free((yyvsp[0].blk));
+ } else {
+ (yyval.blk) = (yyvsp[0].blk);
+ }
+}
+#line 3101 "y.tab.c"
+ break;
+
+ case 54: /* FuncDef: "def" IDENT ':' Exp ';' */
+#line 559 "parser.y"
+ {
+ (yyval.blk) = gen_function(jv_string_value((yyvsp[-3].literal)), gen_noop(), (yyvsp[-1].blk));
+ jv_free((yyvsp[-3].literal));
+}
+#line 3110 "y.tab.c"
+ break;
+
+ case 55: /* FuncDef: "def" IDENT '(' Params ')' ':' Exp ';' */
+#line 564 "parser.y"
+ {
+ (yyval.blk) = gen_function(jv_string_value((yyvsp[-6].literal)), (yyvsp[-4].blk), (yyvsp[-1].blk));
+ jv_free((yyvsp[-6].literal));
+}
+#line 3119 "y.tab.c"
+ break;
+
+ case 56: /* Params: Param */
+#line 570 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3127 "y.tab.c"
+ break;
+
+ case 57: /* Params: Params ';' Param */
+#line 573 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3135 "y.tab.c"
+ break;
+
+ case 58: /* Param: '$' IDENT */
+#line 578 "parser.y"
+ {
+ (yyval.blk) = gen_param_regular(jv_string_value((yyvsp[0].literal)));
+ jv_free((yyvsp[0].literal));
+}
+#line 3144 "y.tab.c"
+ break;
+
+ case 59: /* Param: IDENT */
+#line 583 "parser.y"
+ {
+ (yyval.blk) = gen_param(jv_string_value((yyvsp[0].literal)));
+ jv_free((yyvsp[0].literal));
+}
+#line 3153 "y.tab.c"
+ break;
+
+ case 60: /* @1: %empty */
+#line 590 "parser.y"
+ { (yyval.literal) = jv_string("text"); }
+#line 3159 "y.tab.c"
+ break;
+
+ case 61: /* String: QQSTRING_START @1 QQString QQSTRING_END */
+#line 590 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[-1].blk);
+ jv_free((yyvsp[-2].literal));
+}
+#line 3168 "y.tab.c"
+ break;
+
+ case 62: /* @2: %empty */
+#line 594 "parser.y"
+ { (yyval.literal) = (yyvsp[-1].literal); }
+#line 3174 "y.tab.c"
+ break;
+
+ case 63: /* String: FORMAT QQSTRING_START @2 QQString QQSTRING_END */
+#line 594 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[-1].blk);
+ jv_free((yyvsp[-2].literal));
+}
+#line 3183 "y.tab.c"
+ break;
+
+ case 64: /* QQString: %empty */
+#line 601 "parser.y"
+ {
+ (yyval.blk) = gen_const(jv_string(""));
+}
+#line 3191 "y.tab.c"
+ break;
+
+ case 65: /* QQString: QQString QQSTRING_TEXT */
+#line 604 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-1].blk), gen_const((yyvsp[0].literal)), '+');
+}
+#line 3199 "y.tab.c"
+ break;
+
+ case 66: /* QQString: QQString QQSTRING_INTERP_START Exp QQSTRING_INTERP_END */
+#line 607 "parser.y"
+ {
+ (yyval.blk) = gen_binop((yyvsp[-3].blk), gen_format((yyvsp[-1].blk), jv_copy((yyvsp[-4].literal))), '+');
+}
+#line 3207 "y.tab.c"
+ break;
+
+ case 67: /* ElseBody: "elif" Exp "then" Exp ElseBody */
+#line 613 "parser.y"
+ {
+ (yyval.blk) = gen_cond((yyvsp[-3].blk), (yyvsp[-1].blk), (yyvsp[0].blk));
+}
+#line 3215 "y.tab.c"
+ break;
+
+ case 68: /* ElseBody: "else" Exp "end" */
+#line 616 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[-1].blk);
+}
+#line 3223 "y.tab.c"
+ break;
+
+ case 69: /* ExpD: ExpD '|' ExpD */
+#line 621 "parser.y"
+ {
+ (yyval.blk) = block_join((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3231 "y.tab.c"
+ break;
+
+ case 70: /* ExpD: '-' ExpD */
+#line 624 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[0].blk), gen_call("_negate", gen_noop()));
+}
+#line 3239 "y.tab.c"
+ break;
+
+ case 71: /* ExpD: Term */
+#line 627 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3247 "y.tab.c"
+ break;
+
+ case 72: /* Term: '.' */
+#line 633 "parser.y"
+ {
+ (yyval.blk) = gen_noop();
+}
+#line 3255 "y.tab.c"
+ break;
+
+ case 73: /* Term: ".." */
+#line 636 "parser.y"
+ {
+ (yyval.blk) = gen_call("recurse", gen_noop());
+}
+#line 3263 "y.tab.c"
+ break;
+
+ case 74: /* Term: "break" '$' IDENT */
+#line 639 "parser.y"
+ {
+ jv v = jv_string_fmt("*label-%s", jv_string_value((yyvsp[0].literal))); // impossible symbol
+ (yyval.blk) = gen_location((yyloc), locations,
+ BLOCK(gen_op_unbound(LOADV, jv_string_value(v)),
+ gen_call("error", gen_noop())));
+ jv_free(v);
+ jv_free((yyvsp[0].literal));
+}
+#line 3276 "y.tab.c"
+ break;
+
+ case 75: /* Term: "break" error */
+#line 647 "parser.y"
+ {
+ FAIL((yyloc), "break requires a label to break to");
+ (yyval.blk) = gen_noop();
+}
+#line 3285 "y.tab.c"
+ break;
+
+ case 76: /* Term: Term FIELD '?' */
+#line 651 "parser.y"
+ {
+ (yyval.blk) = gen_index_opt((yyvsp[-2].blk), gen_const((yyvsp[-1].literal)));
+}
+#line 3293 "y.tab.c"
+ break;
+
+ case 77: /* Term: FIELD '?' */
+#line 654 "parser.y"
+ {
+ (yyval.blk) = gen_index_opt(gen_noop(), gen_const((yyvsp[-1].literal)));
+}
+#line 3301 "y.tab.c"
+ break;
+
+ case 78: /* Term: Term '.' String '?' */
+#line 657 "parser.y"
+ {
+ (yyval.blk) = gen_index_opt((yyvsp[-3].blk), (yyvsp[-1].blk));
+}
+#line 3309 "y.tab.c"
+ break;
+
+ case 79: /* Term: '.' String '?' */
+#line 660 "parser.y"
+ {
+ (yyval.blk) = gen_index_opt(gen_noop(), (yyvsp[-1].blk));
+}
+#line 3317 "y.tab.c"
+ break;
+
+ case 80: /* Term: Term FIELD */
+#line 663 "parser.y"
+ {
+ (yyval.blk) = gen_index((yyvsp[-1].blk), gen_const((yyvsp[0].literal)));
+}
+#line 3325 "y.tab.c"
+ break;
+
+ case 81: /* Term: FIELD */
+#line 666 "parser.y"
+ {
+ (yyval.blk) = gen_index(gen_noop(), gen_const((yyvsp[0].literal)));
+}
+#line 3333 "y.tab.c"
+ break;
+
+ case 82: /* Term: Term '.' String */
+#line 669 "parser.y"
+ {
+ (yyval.blk) = gen_index((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3341 "y.tab.c"
+ break;
+
+ case 83: /* Term: '.' String */
+#line 672 "parser.y"
+ {
+ (yyval.blk) = gen_index(gen_noop(), (yyvsp[0].blk));
+}
+#line 3349 "y.tab.c"
+ break;
+
+ case 84: /* Term: '.' error */
+#line 675 "parser.y"
+ {
+ FAIL((yyloc), "try .[\"field\"] instead of .field for unusually named fields");
+ (yyval.blk) = gen_noop();
+}
+#line 3358 "y.tab.c"
+ break;
+
+ case 85: /* Term: '.' IDENT error */
+#line 679 "parser.y"
+ {
+ jv_free((yyvsp[-1].literal));
+ FAIL((yyloc), "try .[\"field\"] instead of .field for unusually named fields");
+ (yyval.blk) = gen_noop();
+}
+#line 3368 "y.tab.c"
+ break;
+
+ case 86: /* Term: Term '[' Exp ']' '?' */
+#line 685 "parser.y"
+ {
+ (yyval.blk) = gen_index_opt((yyvsp[-4].blk), (yyvsp[-2].blk));
+}
+#line 3376 "y.tab.c"
+ break;
+
+ case 87: /* Term: Term '[' Exp ']' */
+#line 688 "parser.y"
+ {
+ (yyval.blk) = gen_index((yyvsp[-3].blk), (yyvsp[-1].blk));
+}
+#line 3384 "y.tab.c"
+ break;
+
+ case 88: /* Term: Term '[' ']' '?' */
+#line 691 "parser.y"
+ {
+ (yyval.blk) = block_join((yyvsp[-3].blk), gen_op_simple(EACH_OPT));
+}
+#line 3392 "y.tab.c"
+ break;
+
+ case 89: /* Term: Term '[' ']' */
+#line 694 "parser.y"
+ {
+ (yyval.blk) = block_join((yyvsp[-2].blk), gen_op_simple(EACH));
+}
+#line 3400 "y.tab.c"
+ break;
+
+ case 90: /* Term: Term '[' Exp ':' Exp ']' '?' */
+#line 697 "parser.y"
+ {
+ (yyval.blk) = gen_slice_index((yyvsp[-6].blk), (yyvsp[-4].blk), (yyvsp[-2].blk), INDEX_OPT);
+}
+#line 3408 "y.tab.c"
+ break;
+
+ case 91: /* Term: Term '[' Exp ':' ']' '?' */
+#line 700 "parser.y"
+ {
+ (yyval.blk) = gen_slice_index((yyvsp[-5].blk), (yyvsp[-3].blk), gen_const(jv_null()), INDEX_OPT);
+}
+#line 3416 "y.tab.c"
+ break;
+
+ case 92: /* Term: Term '[' ':' Exp ']' '?' */
+#line 703 "parser.y"
+ {
+ (yyval.blk) = gen_slice_index((yyvsp[-5].blk), gen_const(jv_null()), (yyvsp[-2].blk), INDEX_OPT);
+}
+#line 3424 "y.tab.c"
+ break;
+
+ case 93: /* Term: Term '[' Exp ':' Exp ']' */
+#line 706 "parser.y"
+ {
+ (yyval.blk) = gen_slice_index((yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk), INDEX);
+}
+#line 3432 "y.tab.c"
+ break;
+
+ case 94: /* Term: Term '[' Exp ':' ']' */
+#line 709 "parser.y"
+ {
+ (yyval.blk) = gen_slice_index((yyvsp[-4].blk), (yyvsp[-2].blk), gen_const(jv_null()), INDEX);
+}
+#line 3440 "y.tab.c"
+ break;
+
+ case 95: /* Term: Term '[' ':' Exp ']' */
+#line 712 "parser.y"
+ {
+ (yyval.blk) = gen_slice_index((yyvsp[-4].blk), gen_const(jv_null()), (yyvsp[-1].blk), INDEX);
+}
+#line 3448 "y.tab.c"
+ break;
+
+ case 96: /* Term: LITERAL */
+#line 715 "parser.y"
+ {
+ (yyval.blk) = gen_const((yyvsp[0].literal));
+}
+#line 3456 "y.tab.c"
+ break;
+
+ case 97: /* Term: String */
+#line 718 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3464 "y.tab.c"
+ break;
+
+ case 98: /* Term: FORMAT */
+#line 721 "parser.y"
+ {
+ (yyval.blk) = gen_format(gen_noop(), (yyvsp[0].literal));
+}
+#line 3472 "y.tab.c"
+ break;
+
+ case 99: /* Term: '(' Exp ')' */
+#line 724 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[-1].blk);
+}
+#line 3480 "y.tab.c"
+ break;
+
+ case 100: /* Term: '[' Exp ']' */
+#line 727 "parser.y"
+ {
+ (yyval.blk) = gen_collect((yyvsp[-1].blk));
+}
+#line 3488 "y.tab.c"
+ break;
+
+ case 101: /* Term: '[' ']' */
+#line 730 "parser.y"
+ {
+ (yyval.blk) = gen_const(jv_array());
+}
+#line 3496 "y.tab.c"
+ break;
+
+ case 102: /* Term: '{' MkDict '}' */
+#line 733 "parser.y"
+ {
+ block o = gen_const_object((yyvsp[-1].blk));
+ if (o.first != NULL)
+ (yyval.blk) = o;
+ else
+ (yyval.blk) = BLOCK(gen_subexp(gen_const(jv_object())), (yyvsp[-1].blk), gen_op_simple(POP));
+}
+#line 3508 "y.tab.c"
+ break;
+
+ case 103: /* Term: '$' "__loc__" */
+#line 740 "parser.y"
+ {
+ (yyval.blk) = gen_const(JV_OBJECT(jv_string("file"), jv_copy(locations->fname),
+ jv_string("line"), jv_number(locfile_get_line(locations, (yyloc).start) + 1)));
+}
+#line 3517 "y.tab.c"
+ break;
+
+ case 104: /* Term: '$' IDENT */
+#line 744 "parser.y"
+ {
+ (yyval.blk) = gen_location((yyloc), locations, gen_op_unbound(LOADV, jv_string_value((yyvsp[0].literal))));
+ jv_free((yyvsp[0].literal));
+}
+#line 3526 "y.tab.c"
+ break;
+
+ case 105: /* Term: IDENT */
+#line 748 "parser.y"
+ {
+ const char *s = jv_string_value((yyvsp[0].literal));
+ if (strcmp(s, "false") == 0)
+ (yyval.blk) = gen_const(jv_false());
+ else if (strcmp(s, "true") == 0)
+ (yyval.blk) = gen_const(jv_true());
+ else if (strcmp(s, "null") == 0)
+ (yyval.blk) = gen_const(jv_null());
+ else
+ (yyval.blk) = gen_location((yyloc), locations, gen_call(s, gen_noop()));
+ jv_free((yyvsp[0].literal));
+}
+#line 3543 "y.tab.c"
+ break;
+
+ case 106: /* Term: IDENT '(' Args ')' */
+#line 760 "parser.y"
+ {
+ (yyval.blk) = gen_call(jv_string_value((yyvsp[-3].literal)), (yyvsp[-1].blk));
+ (yyval.blk) = gen_location((yylsp[-3]), locations, (yyval.blk));
+ jv_free((yyvsp[-3].literal));
+}
+#line 3553 "y.tab.c"
+ break;
+
+ case 107: /* Term: '(' error ')' */
+#line 765 "parser.y"
+ { (yyval.blk) = gen_noop(); }
+#line 3559 "y.tab.c"
+ break;
+
+ case 108: /* Term: '[' error ']' */
+#line 766 "parser.y"
+ { (yyval.blk) = gen_noop(); }
+#line 3565 "y.tab.c"
+ break;
+
+ case 109: /* Term: Term '[' error ']' */
+#line 767 "parser.y"
+ { (yyval.blk) = (yyvsp[-3].blk); }
+#line 3571 "y.tab.c"
+ break;
+
+ case 110: /* Term: '{' error '}' */
+#line 768 "parser.y"
+ { (yyval.blk) = gen_noop(); }
+#line 3577 "y.tab.c"
+ break;
+
+ case 111: /* Args: Arg */
+#line 771 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3585 "y.tab.c"
+ break;
+
+ case 112: /* Args: Args ';' Arg */
+#line 774 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3593 "y.tab.c"
+ break;
+
+ case 113: /* Arg: Exp */
+#line 779 "parser.y"
+ {
+ (yyval.blk) = gen_lambda((yyvsp[0].blk));
+}
+#line 3601 "y.tab.c"
+ break;
+
+ case 114: /* RepPatterns: RepPatterns "?//" Pattern */
+#line 784 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-2].blk), gen_destructure_alt((yyvsp[0].blk)));
+}
+#line 3609 "y.tab.c"
+ break;
+
+ case 115: /* RepPatterns: Pattern */
+#line 787 "parser.y"
+ {
+ (yyval.blk) = gen_destructure_alt((yyvsp[0].blk));
+}
+#line 3617 "y.tab.c"
+ break;
+
+ case 116: /* Patterns: RepPatterns "?//" Pattern */
+#line 792 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3625 "y.tab.c"
+ break;
+
+ case 117: /* Patterns: Pattern */
+#line 795 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3633 "y.tab.c"
+ break;
+
+ case 118: /* Pattern: '$' IDENT */
+#line 800 "parser.y"
+ {
+ (yyval.blk) = gen_op_unbound(STOREV, jv_string_value((yyvsp[0].literal)));
+ jv_free((yyvsp[0].literal));
+}
+#line 3642 "y.tab.c"
+ break;
+
+ case 119: /* Pattern: '[' ArrayPats ']' */
+#line 804 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-1].blk), gen_op_simple(POP));
+}
+#line 3650 "y.tab.c"
+ break;
+
+ case 120: /* Pattern: '{' ObjPats '}' */
+#line 807 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-1].blk), gen_op_simple(POP));
+}
+#line 3658 "y.tab.c"
+ break;
+
+ case 121: /* ArrayPats: Pattern */
+#line 812 "parser.y"
+ {
+ (yyval.blk) = gen_array_matcher(gen_noop(), (yyvsp[0].blk));
+}
+#line 3666 "y.tab.c"
+ break;
+
+ case 122: /* ArrayPats: ArrayPats ',' Pattern */
+#line 815 "parser.y"
+ {
+ (yyval.blk) = gen_array_matcher((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3674 "y.tab.c"
+ break;
+
+ case 123: /* ObjPats: ObjPat */
+#line 820 "parser.y"
+ {
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3682 "y.tab.c"
+ break;
+
+ case 124: /* ObjPats: ObjPats ',' ObjPat */
+#line 823 "parser.y"
+ {
+ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3690 "y.tab.c"
+ break;
+
+ case 125: /* ObjPat: '$' IDENT */
+#line 828 "parser.y"
+ {
+ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[0].literal)), gen_op_unbound(STOREV, jv_string_value((yyvsp[0].literal))));
+}
+#line 3698 "y.tab.c"
+ break;
+
+ case 126: /* ObjPat: '$' IDENT ':' Pattern */
+#line 831 "parser.y"
+ {
+ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[-2].literal)), BLOCK(gen_op_simple(DUP), gen_op_unbound(STOREV, jv_string_value((yyvsp[-2].literal))), (yyvsp[0].blk)));
+}
+#line 3706 "y.tab.c"
+ break;
+
+ case 127: /* ObjPat: IDENT ':' Pattern */
+#line 834 "parser.y"
+ {
+ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk));
+}
+#line 3714 "y.tab.c"
+ break;
+
+ case 128: /* ObjPat: Keyword ':' Pattern */
+#line 837 "parser.y"
+ {
+ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk));
+}
+#line 3722 "y.tab.c"
+ break;
+
+ case 129: /* ObjPat: String ':' Pattern */
+#line 840 "parser.y"
+ {
+ (yyval.blk) = gen_object_matcher((yyvsp[-2].blk), (yyvsp[0].blk));
+}
+#line 3730 "y.tab.c"
+ break;
+
+ case 130: /* ObjPat: '(' Exp ')' ':' Pattern */
+#line 843 "parser.y"
+ {
+ jv msg = check_object_key((yyvsp[-3].blk));
+ if (jv_is_valid(msg)) {
+ FAIL((yyloc), jv_string_value(msg));
+ }
+ jv_free(msg);
+ (yyval.blk) = gen_object_matcher((yyvsp[-3].blk), (yyvsp[0].blk));
+}
+#line 3743 "y.tab.c"
+ break;
+
+ case 131: /* ObjPat: error ':' Pattern */
+#line 851 "parser.y"
+ {
+ FAIL((yyloc), "May need parentheses around object key expression");
+ (yyval.blk) = (yyvsp[0].blk);
+}
+#line 3752 "y.tab.c"
+ break;
+
+ case 132: /* Keyword: "as" */
+#line 857 "parser.y"
+ {
+ (yyval.literal) = jv_string("as");
+}
+#line 3760 "y.tab.c"
+ break;
+
+ case 133: /* Keyword: "def" */
+#line 860 "parser.y"
+ {
+ (yyval.literal) = jv_string("def");
+}
+#line 3768 "y.tab.c"
+ break;
+
+ case 134: /* Keyword: "module" */
+#line 863 "parser.y"
+ {
+ (yyval.literal) = jv_string("module");
+}
+#line 3776 "y.tab.c"
+ break;
+
+ case 135: /* Keyword: "import" */
+#line 866 "parser.y"
+ {
+ (yyval.literal) = jv_string("import");
+}
+#line 3784 "y.tab.c"
+ break;
+
+ case 136: /* Keyword: "include" */
+#line 869 "parser.y"
+ {
+ (yyval.literal) = jv_string("include");
+}
+#line 3792 "y.tab.c"
+ break;
+
+ case 137: /* Keyword: "if" */
+#line 872 "parser.y"
+ {
+ (yyval.literal) = jv_string("if");
+}
+#line 3800 "y.tab.c"
+ break;
+
+ case 138: /* Keyword: "then" */
+#line 875 "parser.y"
+ {
+ (yyval.literal) = jv_string("then");
+}
+#line 3808 "y.tab.c"
+ break;
+
+ case 139: /* Keyword: "else" */
+#line 878 "parser.y"
+ {
+ (yyval.literal) = jv_string("else");
+}
+#line 3816 "y.tab.c"
+ break;
+
+ case 140: /* Keyword: "elif" */
+#line 881 "parser.y"
+ {
+ (yyval.literal) = jv_string("elif");
+}
+#line 3824 "y.tab.c"
+ break;
+
+ case 141: /* Keyword: "reduce" */
+#line 884 "parser.y"
+ {
+ (yyval.literal) = jv_string("reduce");
+}
+#line 3832 "y.tab.c"
+ break;
+
+ case 142: /* Keyword: "foreach" */
+#line 887 "parser.y"
+ {
+ (yyval.literal) = jv_string("foreach");
+}
+#line 3840 "y.tab.c"
+ break;
+
+ case 143: /* Keyword: "end" */
+#line 890 "parser.y"
+ {
+ (yyval.literal) = jv_string("end");
+}
+#line 3848 "y.tab.c"
+ break;
+
+ case 144: /* Keyword: "and" */
+#line 893 "parser.y"
+ {
+ (yyval.literal) = jv_string("and");
+}
+#line 3856 "y.tab.c"
+ break;
+
+ case 145: /* Keyword: "or" */
+#line 896 "parser.y"
+ {
+ (yyval.literal) = jv_string("or");
+}
+#line 3864 "y.tab.c"
+ break;
+
+ case 146: /* Keyword: "try" */
+#line 899 "parser.y"
+ {
+ (yyval.literal) = jv_string("try");
+}
+#line 3872 "y.tab.c"
+ break;
+
+ case 147: /* Keyword: "catch" */
+#line 902 "parser.y"
+ {
+ (yyval.literal) = jv_string("catch");
+}
+#line 3880 "y.tab.c"
+ break;
+
+ case 148: /* Keyword: "label" */
+#line 905 "parser.y"
+ {
+ (yyval.literal) = jv_string("label");
+}
+#line 3888 "y.tab.c"
+ break;
+
+ case 149: /* Keyword: "break" */
+#line 908 "parser.y"
+ {
+ (yyval.literal) = jv_string("break");
+}
+#line 3896 "y.tab.c"
+ break;
+
+ case 150: /* Keyword: "__loc__" */
+#line 911 "parser.y"
+ {
+ (yyval.literal) = jv_string("__loc__");
+}
+#line 3904 "y.tab.c"
+ break;
+
+ case 151: /* MkDict: %empty */
+#line 916 "parser.y"
+ {
+ (yyval.blk)=gen_noop();
+}
+#line 3912 "y.tab.c"
+ break;
+
+ case 152: /* MkDict: MkDictPair */
+#line 919 "parser.y"
+ { (yyval.blk) = (yyvsp[0].blk); }
+#line 3918 "y.tab.c"
+ break;
+
+ case 153: /* MkDict: MkDictPair ',' MkDict */
+#line 920 "parser.y"
+ { (yyval.blk)=block_join((yyvsp[-2].blk), (yyvsp[0].blk)); }
+#line 3924 "y.tab.c"
+ break;
+
+ case 154: /* MkDict: error ',' MkDict */
+#line 921 "parser.y"
+ { (yyval.blk) = (yyvsp[0].blk); }
+#line 3930 "y.tab.c"
+ break;
+
+ case 155: /* MkDictPair: IDENT ':' ExpD */
+#line 924 "parser.y"
+ {
+ (yyval.blk) = gen_dictpair(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk));
+ }
+#line 3938 "y.tab.c"
+ break;
+
+ case 156: /* MkDictPair: Keyword ':' ExpD */
+#line 927 "parser.y"
+ {
+ (yyval.blk) = gen_dictpair(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk));
+ }
+#line 3946 "y.tab.c"
+ break;
+
+ case 157: /* MkDictPair: String ':' ExpD */
+#line 930 "parser.y"
+ {
+ (yyval.blk) = gen_dictpair((yyvsp[-2].blk), (yyvsp[0].blk));
+ }
+#line 3954 "y.tab.c"
+ break;
+
+ case 158: /* MkDictPair: String */
+#line 933 "parser.y"
+ {
+ (yyval.blk) = gen_dictpair((yyvsp[0].blk), BLOCK(gen_op_simple(POP), gen_op_simple(DUP2),
+ gen_op_simple(DUP2), gen_op_simple(INDEX)));
+ }
+#line 3963 "y.tab.c"
+ break;
+
+ case 159: /* MkDictPair: '$' IDENT */
+#line 937 "parser.y"
+ {
+ (yyval.blk) = gen_dictpair(gen_const((yyvsp[0].literal)),
+ gen_location((yyloc), locations, gen_op_unbound(LOADV, jv_string_value((yyvsp[0].literal)))));
+ }
+#line 3972 "y.tab.c"
+ break;
+
+ case 160: /* MkDictPair: IDENT */
+#line 941 "parser.y"
+ {
+ (yyval.blk) = gen_dictpair(gen_const(jv_copy((yyvsp[0].literal))),
+ gen_index(gen_noop(), gen_const((yyvsp[0].literal))));
+ }
+#line 3981 "y.tab.c"
+ break;
+
+ case 161: /* MkDictPair: '(' Exp ')' ':' ExpD */
+#line 945 "parser.y"
+ {
+ jv msg = check_object_key((yyvsp[-3].blk));
+ if (jv_is_valid(msg)) {
+ FAIL((yyloc), jv_string_value(msg));
+ }
+ jv_free(msg);
+ (yyval.blk) = gen_dictpair((yyvsp[-3].blk), (yyvsp[0].blk));
+ }
+#line 3994 "y.tab.c"
+ break;
+
+ case 162: /* MkDictPair: error ':' ExpD */
+#line 953 "parser.y"
+ {
+ FAIL((yyloc), "May need parentheses around object key expression");
+ (yyval.blk) = (yyvsp[0].blk);
+ }
+#line 4003 "y.tab.c"
+ break;
+
+
+#line 4007 "y.tab.c"
+
+ default: break;
+ }
+ /* User semantic actions sometimes alter yychar, and that requires
+ that yytoken be updated with the new translation. We take the
+ approach of translating immediately before every use of yytoken.
+ One alternative is translating here after every semantic action,
+ but that translation would be missed if the semantic action invokes
+ YYABORT, YYACCEPT, or YYERROR immediately after altering yychar or
+ if it invokes YYBACKUP. In the case of YYABORT or YYACCEPT, an
+ incorrect destructor might then be invoked immediately. In the
+ case of YYERROR or YYBACKUP, subsequent parser actions might lead
+ to an incorrect destructor call or verbose syntax error message
+ before the lookahead is translated. */
+ YY_SYMBOL_PRINT ("-> $$ =", YY_CAST (yysymbol_kind_t, yyr1[yyn]), &yyval, &yyloc);
+
+ YYPOPSTACK (yylen);
+ yylen = 0;
+
+ *++yyvsp = yyval;
+ *++yylsp = yyloc;
+
+ /* Now 'shift' the result of the reduction. Determine what state
+ that goes to, based on the state we popped back to and the rule
+ number reduced by. */
+ {
+ const int yylhs = yyr1[yyn] - YYNTOKENS;
+ const int yyi = yypgoto[yylhs] + *yyssp;
+ yystate = (0 <= yyi && yyi <= YYLAST && yycheck[yyi] == *yyssp
+ ? yytable[yyi]
+ : yydefgoto[yylhs]);
+ }
+
+ goto yynewstate;
+
+
+/*--------------------------------------.
+| yyerrlab -- here on detecting error. |
+`--------------------------------------*/
+yyerrlab:
+ /* Make sure we have latest lookahead translation. See comments at
+ user semantic actions for why this is necessary. */
+ yytoken = yychar == YYEMPTY ? YYSYMBOL_YYEMPTY : YYTRANSLATE (yychar);
+ /* If not already recovering from an error, report this error. */
+ if (!yyerrstatus)
+ {
+ ++yynerrs;
+ {
+ yypcontext_t yyctx
+ = {yyssp, yytoken, &yylloc};
+ char const *yymsgp = YY_("syntax error");
+ int yysyntax_error_status;
+ yysyntax_error_status = yysyntax_error (&yymsg_alloc, &yymsg, &yyctx);
+ if (yysyntax_error_status == 0)
+ yymsgp = yymsg;
+ else if (yysyntax_error_status == -1)
+ {
+ if (yymsg != yymsgbuf)
+ YYSTACK_FREE (yymsg);
+ yymsg = YY_CAST (char *,
+ YYSTACK_ALLOC (YY_CAST (YYSIZE_T, yymsg_alloc)));
+ if (yymsg)
+ {
+ yysyntax_error_status
+ = yysyntax_error (&yymsg_alloc, &yymsg, &yyctx);
+ yymsgp = yymsg;
+ }
+ else
+ {
+ yymsg = yymsgbuf;
+ yymsg_alloc = sizeof yymsgbuf;
+ yysyntax_error_status = YYENOMEM;
+ }
+ }
+ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, yymsgp);
+ if (yysyntax_error_status == YYENOMEM)
+ goto yyexhaustedlab;
+ }
+ }
+
+ yyerror_range[1] = yylloc;
+ if (yyerrstatus == 3)
+ {
+ /* If just tried and failed to reuse lookahead token after an
+ error, discard it. */
+
+ if (yychar <= YYEOF)
+ {
+ /* Return failure if at end of input. */
+ if (yychar == YYEOF)
+ YYABORT;
+ }
+ else
+ {
+ yydestruct ("Error: discarding",
+ yytoken, &yylval, &yylloc, answer, errors, locations, lexer_param_ptr);
+ yychar = YYEMPTY;
+ }
+ }
+
+ /* Else will try to reuse lookahead token after shifting the error
+ token. */
+ goto yyerrlab1;
+
+
+/*---------------------------------------------------.
+| yyerrorlab -- error raised explicitly by YYERROR. |
+`---------------------------------------------------*/
+yyerrorlab:
+ /* Pacify compilers when the user code never invokes YYERROR and the
+ label yyerrorlab therefore never appears in user code. */
+ if (0)
+ YYERROR;
+
+ /* Do not reclaim the symbols of the rule whose action triggered
+ this YYERROR. */
+ YYPOPSTACK (yylen);
+ yylen = 0;
+ YY_STACK_PRINT (yyss, yyssp);
+ yystate = *yyssp;
+ goto yyerrlab1;
+
+
+/*-------------------------------------------------------------.
+| yyerrlab1 -- common code for both syntax error and YYERROR. |
+`-------------------------------------------------------------*/
+yyerrlab1:
+ yyerrstatus = 3; /* Each real token shifted decrements this. */
+
+ /* Pop stack until we find a state that shifts the error token. */
+ for (;;)
+ {
+ yyn = yypact[yystate];
+ if (!yypact_value_is_default (yyn))
+ {
+ yyn += YYSYMBOL_YYerror;
+ if (0 <= yyn && yyn <= YYLAST && yycheck[yyn] == YYSYMBOL_YYerror)
+ {
+ yyn = yytable[yyn];
+ if (0 < yyn)
+ break;
+ }
+ }
+
+ /* Pop the current state because it cannot handle the error token. */
+ if (yyssp == yyss)
+ YYABORT;
+
+ yyerror_range[1] = *yylsp;
+ yydestruct ("Error: popping",
+ YY_ACCESSING_SYMBOL (yystate), yyvsp, yylsp, answer, errors, locations, lexer_param_ptr);
+ YYPOPSTACK (1);
+ yystate = *yyssp;
+ YY_STACK_PRINT (yyss, yyssp);
+ }
+
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ *++yyvsp = yylval;
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+
+ yyerror_range[2] = yylloc;
+ ++yylsp;
+ YYLLOC_DEFAULT (*yylsp, yyerror_range, 2);
+
+ /* Shift the error token. */
+ YY_SYMBOL_PRINT ("Shifting", YY_ACCESSING_SYMBOL (yyn), yyvsp, yylsp);
+
+ yystate = yyn;
+ goto yynewstate;
+
+
+/*-------------------------------------.
+| yyacceptlab -- YYACCEPT comes here. |
+`-------------------------------------*/
+yyacceptlab:
+ yyresult = 0;
+ goto yyreturn;
+
+
+/*-----------------------------------.
+| yyabortlab -- YYABORT comes here. |
+`-----------------------------------*/
+yyabortlab:
+ yyresult = 1;
+ goto yyreturn;
+
+
+#if 1
+/*-------------------------------------------------.
+| yyexhaustedlab -- memory exhaustion comes here. |
+`-------------------------------------------------*/
+yyexhaustedlab:
+ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("memory exhausted"));
+ yyresult = 2;
+ goto yyreturn;
+#endif
+
+
+/*-------------------------------------------------------.
+| yyreturn -- parsing is finished, clean up and return. |
+`-------------------------------------------------------*/
+yyreturn:
+ if (yychar != YYEMPTY)
+ {
+ /* Make sure we have latest lookahead translation. See comments at
+ user semantic actions for why this is necessary. */
+ yytoken = YYTRANSLATE (yychar);
+ yydestruct ("Cleanup: discarding lookahead",
+ yytoken, &yylval, &yylloc, answer, errors, locations, lexer_param_ptr);
+ }
+ /* Do not reclaim the symbols of the rule whose action triggered
+ this YYABORT or YYACCEPT. */
+ YYPOPSTACK (yylen);
+ YY_STACK_PRINT (yyss, yyssp);
+ while (yyssp != yyss)
+ {
+ yydestruct ("Cleanup: popping",
+ YY_ACCESSING_SYMBOL (+*yyssp), yyvsp, yylsp, answer, errors, locations, lexer_param_ptr);
+ YYPOPSTACK (1);
+ }
+#ifndef yyoverflow
+ if (yyss != yyssa)
+ YYSTACK_FREE (yyss);
+#endif
+ if (yymsg != yymsgbuf)
+ YYSTACK_FREE (yymsg);
+ return yyresult;
+}
+
+#line 957 "parser.y"
+
+
+int jq_parse(struct locfile* locations, block* answer) {
+ struct lexer_param scanner;
+ YY_BUFFER_STATE buf;
+ jq_yylex_init_extra(0, &scanner.lexer);
+ buf = jq_yy_scan_bytes(locations->data, locations->length, scanner.lexer);
+ int errors = 0;
+ *answer = gen_noop();
+ yyparse(answer, &errors, locations, &scanner);
+ jq_yy_delete_buffer(buf, scanner.lexer);
+ jq_yylex_destroy(scanner.lexer);
+ if (errors > 0) {
+ block_free(*answer);
+ *answer = gen_noop();
+ }
+ return errors;
+}
+
+int jq_parse_library(struct locfile* locations, block* answer) {
+ int errs = jq_parse(locations, answer);
+ if (errs) return errs;
+ if (block_has_main(*answer)) {
+ locfile_locate(locations, UNKNOWN_LOCATION, "jq: error: library should only have function definitions, not a main expression");
+ return 1;
+ }
+ assert(block_has_only_binders_and_imports(*answer, OP_IS_CALL_PSEUDO));
+ return 0;
+}
diff -Naur a/src/y.tab.h b/src/y.tab.h
--- a/src/y.tab.h 1969-12-31 16:00:00.000000000 -0800
+++ b/src/y.tab.h 2021-09-29 10:27:07.711281431 -0700
@@ -0,0 +1,210 @@
+/* A Bison parser, made by GNU Bison 3.7.4. */
+
+/* Bison interface for Yacc-like parsers in C
+
+ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2020 Free Software Foundation,
+ Inc.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see <http://www.gnu.org/licenses/>. */
+
+/* As a special exception, you may create a larger work that contains
+ part or all of the Bison parser skeleton and distribute that work
+ under terms of your choice, so long as that work isn't itself a
+ parser generator using the skeleton or a modified version thereof
+ as a parser skeleton. Alternatively, if you modify or redistribute
+ the parser skeleton itself, you may (at your option) remove this
+ special exception, which will cause the skeleton and the resulting
+ Bison output files to be licensed under the GNU General Public
+ License without this special exception.
+
+ This special exception was added by the Free Software Foundation in
+ version 2.2 of Bison. */
+
+/* DO NOT RELY ON FEATURES THAT ARE NOT DOCUMENTED in the manual,
+ especially those whose name start with YY_ or yy_. They are
+ private implementation details that can be changed or removed. */
+
+#ifndef YY_YY_Y_TAB_H_INCLUDED
+# define YY_YY_Y_TAB_H_INCLUDED
+/* Debug traces. */
+#ifndef YYDEBUG
+# define YYDEBUG 0
+#endif
+#if YYDEBUG
+extern int yydebug;
+#endif
+/* "%code requires" blocks. */
+#line 11 "parser.y"
+
+#include "locfile.h"
+struct lexer_param;
+
+#define YYLTYPE location
+#define YYLLOC_DEFAULT(Loc, Rhs, N) \
+ do { \
+ if (N) { \
+ (Loc).start = YYRHSLOC(Rhs, 1).start; \
+ (Loc).end = YYRHSLOC(Rhs, N).end; \
+ } else { \
+ (Loc).start = YYRHSLOC(Rhs, 0).end; \
+ (Loc).end = YYRHSLOC(Rhs, 0).end; \
+ } \
+ } while (0)
+
+#line 66 "y.tab.h"
+
+/* Token kinds. */
+#ifndef YYTOKENTYPE
+# define YYTOKENTYPE
+ enum yytokentype
+ {
+ YYEMPTY = -2,
+ YYEOF = 0, /* "end of file" */
+ YYerror = 256, /* error */
+ YYUNDEF = 257, /* "invalid token" */
+ INVALID_CHARACTER = 258, /* INVALID_CHARACTER */
+ IDENT = 259, /* IDENT */
+ FIELD = 260, /* FIELD */
+ LITERAL = 261, /* LITERAL */
+ FORMAT = 262, /* FORMAT */
+ REC = 263, /* ".." */
+ SETMOD = 264, /* "%=" */
+ EQ = 265, /* "==" */
+ NEQ = 266, /* "!=" */
+ DEFINEDOR = 267, /* "//" */
+ AS = 268, /* "as" */
+ DEF = 269, /* "def" */
+ MODULE = 270, /* "module" */
+ IMPORT = 271, /* "import" */
+ INCLUDE = 272, /* "include" */
+ IF = 273, /* "if" */
+ THEN = 274, /* "then" */
+ ELSE = 275, /* "else" */
+ ELSE_IF = 276, /* "elif" */
+ REDUCE = 277, /* "reduce" */
+ FOREACH = 278, /* "foreach" */
+ END = 279, /* "end" */
+ AND = 280, /* "and" */
+ OR = 281, /* "or" */
+ TRY = 282, /* "try" */
+ CATCH = 283, /* "catch" */
+ LABEL = 284, /* "label" */
+ BREAK = 285, /* "break" */
+ LOC = 286, /* "__loc__" */
+ SETPIPE = 287, /* "|=" */
+ SETPLUS = 288, /* "+=" */
+ SETMINUS = 289, /* "-=" */
+ SETMULT = 290, /* "*=" */
+ SETDIV = 291, /* "/=" */
+ SETDEFINEDOR = 292, /* "//=" */
+ LESSEQ = 293, /* "<=" */
+ GREATEREQ = 294, /* ">=" */
+ ALTERNATION = 295, /* "?//" */
+ QQSTRING_START = 296, /* QQSTRING_START */
+ QQSTRING_TEXT = 297, /* QQSTRING_TEXT */
+ QQSTRING_INTERP_START = 298, /* QQSTRING_INTERP_START */
+ QQSTRING_INTERP_END = 299, /* QQSTRING_INTERP_END */
+ QQSTRING_END = 300, /* QQSTRING_END */
+ FUNCDEF = 301, /* FUNCDEF */
+ NONOPT = 302 /* NONOPT */
+ };
+ typedef enum yytokentype yytoken_kind_t;
+#endif
+/* Token kinds. */
+#define YYEMPTY -2
+#define YYEOF 0
+#define YYerror 256
+#define YYUNDEF 257
+#define INVALID_CHARACTER 258
+#define IDENT 259
+#define FIELD 260
+#define LITERAL 261
+#define FORMAT 262
+#define REC 263
+#define SETMOD 264
+#define EQ 265
+#define NEQ 266
+#define DEFINEDOR 267
+#define AS 268
+#define DEF 269
+#define MODULE 270
+#define IMPORT 271
+#define INCLUDE 272
+#define IF 273
+#define THEN 274
+#define ELSE 275
+#define ELSE_IF 276
+#define REDUCE 277
+#define FOREACH 278
+#define END 279
+#define AND 280
+#define OR 281
+#define TRY 282
+#define CATCH 283
+#define LABEL 284
+#define BREAK 285
+#define LOC 286
+#define SETPIPE 287
+#define SETPLUS 288
+#define SETMINUS 289
+#define SETMULT 290
+#define SETDIV 291
+#define SETDEFINEDOR 292
+#define LESSEQ 293
+#define GREATEREQ 294
+#define ALTERNATION 295
+#define QQSTRING_START 296
+#define QQSTRING_TEXT 297
+#define QQSTRING_INTERP_START 298
+#define QQSTRING_INTERP_END 299
+#define QQSTRING_END 300
+#define FUNCDEF 301
+#define NONOPT 302
+
+/* Value type. */
+#if ! defined YYSTYPE && ! defined YYSTYPE_IS_DECLARED
+union YYSTYPE
+{
+#line 31 "parser.y"
+
+ jv literal;
+ block blk;
+
+#line 185 "y.tab.h"
+
+};
+typedef union YYSTYPE YYSTYPE;
+# define YYSTYPE_IS_TRIVIAL 1
+# define YYSTYPE_IS_DECLARED 1
+#endif
+
+/* Location type. */
+#if ! defined YYLTYPE && ! defined YYLTYPE_IS_DECLARED
+typedef struct YYLTYPE YYLTYPE;
+struct YYLTYPE
+{
+ int first_line;
+ int first_column;
+ int last_line;
+ int last_column;
+};
+# define YYLTYPE_IS_DECLARED 1
+# define YYLTYPE_IS_TRIVIAL 1
+#endif
+
+
+
+int yyparse (block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr);
+
+#endif /* !YY_YY_Y_TAB_H_INCLUDED */
diff -Naur a/tests/jq.test b/tests/jq.test
--- a/tests/jq.test 2018-11-01 18:49:29.000000000 -0700
+++ b/tests/jq.test 2021-09-29 10:19:48.697843723 -0700
@@ -1517,3 +1517,42 @@
false
+#
+# Tests to cover the new toliteral number functionality
+# For an example see #1652 and other linked issues
+#
+
+# We are backward and sanity compatible
+
+map(. == 1)
+[1, 1.0, 1.000, 100e-2, 1e+0, 0.0001e4]
+[true, true, true, true, true, true]
+
+# When no arithmetic is involved jq should preserve the literal value
+
+.[0] | tostring
+[13911860366432393]
+"13911860366432393"
+
+.x | tojson
+{"x":13911860366432393}
+"13911860366432393"
+
+13911860366432393 == 13911860366432392
+null
+false
+
+
+# Applying arithmetic to the value will truncate the result to double
+
+. - 10
+13911860366432393
+13911860366432382
+
+.[0] - 10
+[13911860366432393]
+13911860366432382
+
+.x - 10
+{"x":13911860366432393}
+13911860366432382
diff -Naur a/tests/local.supp b/tests/local.supp
--- a/tests/local.supp 1969-12-31 16:00:00.000000000 -0800
+++ b/tests/local.supp 2021-09-29 10:19:48.697843723 -0700
@@ -0,0 +1,14 @@
+{
+ macos valgrind 1
+ Memcheck:Leak
+ match-leak-kinds: possible
+ fun:calloc
+ fun:map_images_nolock
+ ...
+ fun:_dyld_objc_notify_register
+ fun:_objc_init
+ fun:_os_object_init
+ fun:libdispatch_init
+ fun:libSystem_initializer
+ ...
+}
diff -Naur a/tests/setup b/tests/setup
--- a/tests/setup 2018-11-01 18:49:29.000000000 -0700
+++ b/tests/setup 2021-09-29 10:19:48.697843723 -0700
@@ -14,7 +14,8 @@
if [ -z "${NO_VALGRIND-}" ] && which valgrind > /dev/null; then
VALGRIND="valgrind --error-exitcode=1 --leak-check=full \
- --suppressions=$JQTESTDIR/onig.supp"
+ --suppressions=$JQTESTDIR/onig.supp \
+ --suppressions=$JQTESTDIR/local.supp"
VG_EXIT0=--error-exitcode=0
Q=-q
else
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