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mpfr/mpfr-sub1-ubf.patch
Jerry James be947c1e21 Add upstream patches 2 through 7.
2020-04-16 14:23:20 -06:00

723 lines
27 KiB
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diff -Naurd mpfr-4.0.2-a/PATCHES mpfr-4.0.2-b/PATCHES
--- mpfr-4.0.2-a/PATCHES 2020-03-30 13:09:17.466071979 +0000
+++ mpfr-4.0.2-b/PATCHES 2020-03-30 13:09:17.502071540 +0000
@@ -0,0 +1 @@
+sub1-ubf
diff -Naurd mpfr-4.0.2-a/VERSION mpfr-4.0.2-b/VERSION
--- mpfr-4.0.2-a/VERSION 2020-03-30 13:05:16.264989689 +0000
+++ mpfr-4.0.2-b/VERSION 2020-03-30 13:09:17.502071540 +0000
@@ -1 +1 @@
-4.0.2-p3
+4.0.2-p4
diff -Naurd mpfr-4.0.2-a/src/add1.c mpfr-4.0.2-b/src/add1.c
--- mpfr-4.0.2-a/src/add1.c 2019-01-07 13:53:20.000000000 +0000
+++ mpfr-4.0.2-b/src/add1.c 2020-03-30 13:09:17.490071686 +0000
@@ -41,7 +41,7 @@
if (MPFR_UNLIKELY (MPFR_IS_UBF (b)))
{
- exp = mpfr_ubf_zexp2exp (MPFR_ZEXP (b));
+ exp = MPFR_UBF_GET_EXP (b);
if (exp > __gmpfr_emax)
return mpfr_overflow (a, rnd_mode, MPFR_SIGN (b));;
}
diff -Naurd mpfr-4.0.2-a/src/mpfr-impl.h mpfr-4.0.2-b/src/mpfr-impl.h
--- mpfr-4.0.2-a/src/mpfr-impl.h 2019-06-02 17:05:36.145226719 +0000
+++ mpfr-4.0.2-b/src/mpfr-impl.h 2020-03-30 13:09:17.490071686 +0000
@@ -2406,11 +2406,28 @@
}
#endif
-#define MPFR_ZEXP(x) \
- ((void) (x)->_mpfr_exp /* to check that x has a correct type */, \
+/* Get the _mpfr_zexp field (pointer to a mpz_t) of a UBF object.
+ For practical reasons, the type of the argument x can be either
+ mpfr_ubf_ptr or mpfr_ptr, since the latter is used in functions
+ that accept both MPFR numbers and UBF's; this is checked by the
+ code "(x)->_mpfr_exp" (the "sizeof" prevents an access, which
+ could be invalid when MPFR_ZEXP(x) is used for an assignment,
+ and also avoids breaking the aliasing rules if they are dealt
+ with in the future).
+ This macro can be used when building a UBF. So we do not check
+ that the _mpfr_exp field has the value MPFR_EXP_UBF. */
+#define MPFR_ZEXP(x) \
+ ((void) sizeof ((x)->_mpfr_exp), \
((mpfr_ubf_ptr) (x))->_mpfr_zexp)
+/* If x is a UBF, clear its mpz_t exponent. */
#define MPFR_UBF_CLEAR_EXP(x) \
((void) (MPFR_IS_UBF (x) && (mpz_clear (MPFR_ZEXP (x)), 0)))
+/* Like MPFR_GET_EXP, but accepts UBF (with exponent saturated to
+ the interval [MPFR_EXP_MIN,MPFR_EXP_MAX]). */
+#define MPFR_UBF_GET_EXP(x) \
+ (MPFR_IS_UBF (x) ? mpfr_ubf_zexp2exp (MPFR_ZEXP (x)) : \
+ MPFR_GET_EXP ((mpfr_ptr) (x)))
+
#endif /* __MPFR_IMPL_H__ */
diff -Naurd mpfr-4.0.2-a/src/mpfr.h mpfr-4.0.2-b/src/mpfr.h
--- mpfr-4.0.2-a/src/mpfr.h 2020-03-30 13:05:16.260989737 +0000
+++ mpfr-4.0.2-b/src/mpfr.h 2020-03-30 13:09:17.498071589 +0000
@@ -27,7 +27,7 @@
#define MPFR_VERSION_MAJOR 4
#define MPFR_VERSION_MINOR 0
#define MPFR_VERSION_PATCHLEVEL 2
-#define MPFR_VERSION_STRING "4.0.2-p3"
+#define MPFR_VERSION_STRING "4.0.2-p4"
/* User macros:
MPFR_USE_FILE: Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.0.2-a/src/sub1.c mpfr-4.0.2-b/src/sub1.c
--- mpfr-4.0.2-a/src/sub1.c 2019-01-07 13:53:20.000000000 +0000
+++ mpfr-4.0.2-b/src/sub1.c 2020-03-30 13:09:17.490071686 +0000
@@ -91,9 +91,20 @@
if (MPFR_UNLIKELY (MPFR_IS_UBF (b) || MPFR_IS_UBF (c)))
{
- exp_b = MPFR_IS_UBF (b) ?
- mpfr_ubf_zexp2exp (MPFR_ZEXP (b)) : MPFR_GET_EXP (b);
+ exp_b = MPFR_UBF_GET_EXP (b);
+ /* Early underflow detection. Rare, but a test is needed anyway
+ since in the "MAX (aq, bq) + 2 <= diff_exp" branch, the exponent
+ may decrease and MPFR_EXP_MIN would yield an integer overflow. */
+ if (MPFR_UNLIKELY (exp_b < __gmpfr_emin - 1))
+ {
+ if (rnd_mode == MPFR_RNDN)
+ rnd_mode = MPFR_RNDZ;
+ return mpfr_underflow (a, rnd_mode, MPFR_SIGN(a));
+ }
diff_exp = mpfr_ubf_diff_exp (b, c);
+ /* mpfr_set4 below used with MPFR_RNDF does not support UBF. */
+ if (rnd_mode == MPFR_RNDF)
+ rnd_mode = MPFR_RNDN;
}
else
{
@@ -123,11 +134,11 @@
if (rnd_mode == MPFR_RNDF)
return mpfr_set4 (a, b, MPFR_RNDZ, MPFR_SIGN (a));
- MPFR_EXP (a) = exp_b; /* may be up to MPFR_EXP_MAX */
+ exp_a = exp_b; /* may be any out-of-range value due to UBF */
MPFR_RNDRAW_EVEN (inexact, a, MPFR_MANT (b), bq,
rnd_mode, MPFR_SIGN (a),
- if (MPFR_EXP (a) != MPFR_EXP_MAX)
- ++ MPFR_EXP (a));
+ if (exp_a != MPFR_EXP_MAX)
+ exp_a ++);
MPFR_LOG_MSG (("inexact=%d\n", inexact));
if (inexact == 0)
{
@@ -139,7 +150,7 @@
if (! MPFR_IS_LIKE_RNDZ (rnd_mode, MPFR_IS_NEG (a)))
{
inexact = MPFR_INT_SIGN (a);
- goto check_overflow;
+ goto end_of_c_small;
}
}
else /* inexact != 0 */
@@ -164,7 +175,7 @@
which means we get a wrong rounded result if x == 1,
i.e. inexact == MPFR_EVEN_INEX (for positive numbers). */
if (MPFR_LIKELY (inexact != MPFR_EVEN_INEX * MPFR_INT_SIGN (a)))
- goto check_overflow;
+ goto end_of_c_small;
}
/* We need to take the value preceding |a|. We can't use
mpfr_nexttozero due to a possible out-of-range exponent.
@@ -174,16 +185,26 @@
mpn_sub_1 (ap, ap, an, MPFR_LIMB_ONE << sh);
if (MPFR_UNLIKELY (MPFR_LIMB_MSB (ap[an-1]) == 0))
{
- MPFR_EXP (a) --;
+ exp_a --;
/* The following is valid whether an = 1 or an > 1. */
ap[an-1] |= MPFR_LIMB_HIGHBIT;
}
inexact = - MPFR_INT_SIGN (a);
- check_overflow:
- if (MPFR_UNLIKELY (MPFR_EXP (a) > __gmpfr_emax))
+ end_of_c_small:
+ /* The underflow case is possible only with UBF. The overflow case
+ is also possible with normal FP due to rounding. */
+ if (MPFR_UNLIKELY (exp_a > __gmpfr_emax))
return mpfr_overflow (a, rnd_mode, MPFR_SIGN (a));
- else
- MPFR_RET (inexact);
+ if (MPFR_UNLIKELY (exp_a < __gmpfr_emin))
+ {
+ if (rnd_mode == MPFR_RNDN &&
+ (exp_a < __gmpfr_emin - 1 ||
+ (inexact * MPFR_INT_SIGN (a) >= 0 && mpfr_powerof2_raw (a))))
+ rnd_mode = MPFR_RNDZ;
+ return mpfr_underflow (a, rnd_mode, MPFR_SIGN(a));
+ }
+ MPFR_SET_EXP (a, exp_a);
+ MPFR_RET (inexact);
}
/* reserve a space to store b aligned with the result, i.e. shifted by
@@ -656,6 +677,15 @@
if (MPFR_LIKELY(cancel))
{
cancel -= add_exp; /* OK: add_exp is an int equal to 0 or 1 */
+ MPFR_ASSERTD (cancel >= 0);
+ /* Detect an underflow case to avoid a possible integer overflow
+ with UBF in the computation of exp_a. */
+ if (MPFR_UNLIKELY (exp_b < __gmpfr_emin - 1))
+ {
+ if (rnd_mode == MPFR_RNDN)
+ rnd_mode = MPFR_RNDZ;
+ return mpfr_underflow (a, rnd_mode, MPFR_SIGN(a));
+ }
exp_a = exp_b - cancel;
/* The following assertion corresponds to a limitation of the MPFR
implementation. It may fail with a 32-bit ABI and huge precisions,
diff -Naurd mpfr-4.0.2-a/src/version.c mpfr-4.0.2-b/src/version.c
--- mpfr-4.0.2-a/src/version.c 2020-03-30 13:05:16.264989689 +0000
+++ mpfr-4.0.2-b/src/version.c 2020-03-30 13:09:17.502071540 +0000
@@ -25,5 +25,5 @@
const char *
mpfr_get_version (void)
{
- return "4.0.2-p3";
+ return "4.0.2-p4";
}
diff -Naurd mpfr-4.0.2-a/tests/tfma.c mpfr-4.0.2-b/tests/tfma.c
--- mpfr-4.0.2-a/tests/tfma.c 2019-01-07 13:53:20.000000000 +0000
+++ mpfr-4.0.2-b/tests/tfma.c 2020-03-30 13:09:17.490071686 +0000
@@ -47,7 +47,7 @@
mpfr_add (r1, r1, c, (mpfr_rnd_t) rnd))
{
if (rnd == MPFR_RNDF)
- break;
+ continue;
printf ("test_exact internal error for (%d,%d,%d,%d,%s)\n",
i, j, k, rnd, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
exit (1);
@@ -664,7 +664,7 @@
Note: The purpose of the s * 2^(emin-7) term is to yield
double rounding when scaling for k = 4, s != 0, MPFR_RNDN. */
- RND_LOOP (rnd)
+ RND_LOOP_NO_RNDF (rnd)
{
mpfr_clear_flags ();
inex1 = mpfr_set_si_2exp (t1, sign * (8*k+s-64), e-6,
diff -Naurd mpfr-4.0.2-a/tests/tfmma.c mpfr-4.0.2-b/tests/tfmma.c
--- mpfr-4.0.2-a/tests/tfmma.c 2019-01-07 13:53:20.000000000 +0000
+++ mpfr-4.0.2-b/tests/tfmma.c 2020-03-30 13:09:17.490071686 +0000
@@ -480,6 +480,123 @@
mpfr_clears (x, y, z, (mpfr_ptr) 0);
}
+static void
+underflow_tests (void)
+{
+ mpfr_t x, y, z;
+ mpfr_prec_t p;
+ mpfr_exp_t emin;
+
+ emin = mpfr_get_emin ();
+ mpfr_set_emin (-17);
+ for (p = MPFR_PREC_MIN; p <= 1024; p++)
+ {
+ mpfr_inits2 (p, x, y, (mpfr_ptr) 0);
+ mpfr_init2 (z, p + 1);
+ mpfr_set_str_binary (x, "1e-10");
+ mpfr_set_str_binary (y, "1e-11");
+ mpfr_clear_underflow ();
+ mpfr_fmms (z, x, x, y, y, MPFR_RNDN);
+ /* the exact result is 2^-20-2^-22, and should underflow */
+ MPFR_ASSERTN(mpfr_underflow_p ());
+ MPFR_ASSERTN(mpfr_zero_p (z));
+ MPFR_ASSERTN(mpfr_signbit (z) == 0);
+ mpfr_clears (x, y, z, (mpfr_ptr) 0);
+ }
+ mpfr_set_emin (emin);
+}
+
+static void
+bug20180604 (void)
+{
+ mpfr_t x, y, yneg, z;
+ mpfr_exp_t emin;
+ int ret;
+
+ emin = mpfr_get_emin ();
+ mpfr_set_emin (-1073741821);
+ mpfr_inits2 (564, x, y, yneg, (mpfr_ptr) 0);
+ mpfr_init2 (z, 2256);
+ mpfr_set_str_binary (x, "1.10010000111100110011001101111111101000111001011000110100110010000101000100010001000000111100010000101001011011111001111000110101111100101111001100001100011101100100011110000000011000010110111100111000100101010001011111010111011001110010001011101111001011001110110000010000011100010001010001011100100110111110101001001111001011101111110011101110101010110100010010111011111100010101111100011110111001011111101110101101101110100101111010000101011110100000000110111101000001100001000100010110100111010011011010110011100111010000101110010101111001011100110101100001100E-737194993");
+ mpfr_set_str_binary (y, "-1.00101000100001001101011110100010110011101010011011010111100110101011111100000100101000111010111101100100110010001110011011100100110110000001011001000111101111101111110101100110111000000011000001101001010100010010001110001000011010000100111001001100101111111100010101110101001101101101111010100011011110001000010000010100011000011000010110101100000111111110111001100100100001101011111011100101110111000100101010110100010011101010110010100110100111000000100111101101101000000011110000100110100100011000010011110010001010000110100011111101101101110001110001101101010E-737194903");
+
+ mpfr_clear_underflow ();
+ ret = mpfr_fmms (z, x, x, y, y, MPFR_RNDN);
+ MPFR_ASSERTN(mpfr_underflow_p ());
+ MPFR_ASSERTN(mpfr_zero_p (z));
+ MPFR_ASSERTN(mpfr_signbit (z) == 1);
+ MPFR_ASSERTN(ret > 0);
+
+ mpfr_clear_underflow ();
+ ret = mpfr_fmms (z, y, y, x, x, MPFR_RNDN);
+ MPFR_ASSERTN(mpfr_underflow_p ());
+ MPFR_ASSERTN(mpfr_zero_p (z));
+ MPFR_ASSERTN(mpfr_signbit (z) == 0);
+ MPFR_ASSERTN(ret < 0);
+
+ mpfr_neg (yneg, y, MPFR_RNDN);
+ mpfr_clear_underflow ();
+ ret = mpfr_fmms (z, x, x, y, yneg, MPFR_RNDN);
+ MPFR_ASSERTN(mpfr_underflow_p ());
+ MPFR_ASSERTN(mpfr_zero_p (z));
+ MPFR_ASSERTN(mpfr_signbit (z) == 0);
+ MPFR_ASSERTN(ret < 0);
+
+ mpfr_clear_underflow ();
+ ret = mpfr_fmms (z, y, yneg, x, x, MPFR_RNDN);
+ MPFR_ASSERTN(mpfr_underflow_p ());
+ MPFR_ASSERTN(mpfr_zero_p (z));
+ MPFR_ASSERTN(mpfr_signbit (z) == 1);
+ MPFR_ASSERTN(ret > 0);
+
+ mpfr_clears (x, y, yneg, z, (mpfr_ptr) 0);
+ mpfr_set_emin (emin);
+}
+
+/* this bug was discovered from mpc_mul */
+static void
+bug20200206 (void)
+{
+ mpfr_exp_t emin = mpfr_get_emin ();
+ mpfr_t xre, xim, yre, yim, zre;
+
+ mpfr_set_emin (-1073);
+ mpfr_inits2 (53, xre, xim, yre, yim, zre, (mpfr_ptr) 0);
+ mpfr_set_str (xre, "-0x8.294611b331c8p-904", 16, MPFR_RNDN);
+ mpfr_set_str (xim, "-0x1.859278c2992fap-676", 16, MPFR_RNDN);
+ mpfr_set_str (yre, "0x9.ac54802a95f8p-820", 16, MPFR_RNDN);
+ mpfr_set_str (yim, "0x3.17e59e7612aap-412", 16, MPFR_RNDN);
+ mpfr_fmms (zre, xre, yre, xim, yim, MPFR_RNDN);
+ if (mpfr_regular_p (zre) && mpfr_get_exp (zre) < -1073)
+ {
+ printf ("Error, mpfr_fmms returns an out-of-range exponent:\n");
+ mpfr_dump (zre);
+ exit (1);
+ }
+ mpfr_clears (xre, xim, yre, yim, zre, (mpfr_ptr) 0);
+ mpfr_set_emin (emin);
+}
+
+/* check for integer overflow (see bug fixed in r13798) */
+static void
+extreme_underflow (void)
+{
+ mpfr_t x, y, z;
+ mpfr_exp_t emin = mpfr_get_emin ();
+
+ set_emin (MPFR_EMIN_MIN);
+ mpfr_inits2 (64, x, y, z, (mpfr_ptr) 0);
+ mpfr_set_ui_2exp (x, 1, MPFR_EMIN_MIN - 1, MPFR_RNDN);
+ mpfr_set (y, x, MPFR_RNDN);
+ mpfr_nextabove (x);
+ mpfr_clear_flags ();
+ mpfr_fmms (z, x, x, y, y, MPFR_RNDN);
+ MPFR_ASSERTN (__gmpfr_flags == (MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT));
+ MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_POS (z));
+ mpfr_clears (x, y, z, (mpfr_ptr) 0);
+ set_emin (emin);
+}
+
/* Test double-rounding cases in mpfr_set_1_2, which is called when
all the precisions are the same. With set.c before r13347, this
triggers errors for neg=0. */
@@ -548,6 +665,9 @@
{
tests_start_mpfr ();
+ bug20200206 ();
+ bug20180604 ();
+ underflow_tests ();
random_tests ();
zero_tests ();
max_tests ();
@@ -555,6 +675,7 @@
half_plus_half ();
bug20170405 ();
double_rounding ();
+ extreme_underflow ();
tests_end_mpfr ();
return 0;
diff -Naurd mpfr-4.0.2-a/tests/tsub.c mpfr-4.0.2-b/tests/tsub.c
--- mpfr-4.0.2-a/tests/tsub.c 2019-01-07 13:53:20.000000000 +0000
+++ mpfr-4.0.2-b/tests/tsub.c 2020-03-30 13:09:17.490071686 +0000
@@ -1159,6 +1159,358 @@
}
}
+/* Tests on UBF.
+ *
+ * Note: mpfr_sub1sp will never be used as it does not support UBF.
+ * Thus there is no need to generate tests for both mpfr_sub1 and
+ * mpfr_sub1sp.
+ *
+ * Note that mpfr_sub1 has a special branch "c small", where the second
+ * argument c is sufficiently smaller than the ulp of the first argument
+ * and the ulp of the result: MAX (aq, bq) + 2 <= diff_exp.
+ * Tests should be done for both the main branch and this special branch
+ * when this makes sense.
+ */
+#define REXP 1024
+
+static void test_ubf_aux (void)
+{
+ mpfr_ubf_t x[11];
+ mpfr_ptr p[11];
+ int ex[11];
+ mpfr_t ee, y, z, w;
+ int i, j, k, neg, inexact, rnd;
+ const int kn = 2;
+ mpfr_exp_t e[] =
+ { MPFR_EXP_MIN, MPFR_EMIN_MIN, -REXP, 0,
+ REXP, MPFR_EMAX_MAX, MPFR_EXP_MAX };
+
+ mpfr_init2 (ee, sizeof (mpfr_exp_t) * CHAR_BIT);
+ mpfr_inits2 (64, y, z, (mpfr_ptr) 0);
+ mpfr_init2 (w, 2);
+
+ for (i = 0; i < 11; i++)
+ p[i] = (mpfr_ptr) x[i];
+
+ /* exact zero result, with small and large exponents */
+ for (i = 0; i < 2; i++)
+ {
+ mpfr_init2 (p[i], 5 + (randlimb () % 128));
+ mpfr_set_ui (p[i], 17, MPFR_RNDN);
+ mpz_init (MPFR_ZEXP (p[i]));
+ MPFR_SET_UBF (p[i]);
+ }
+ for (j = 0; j < numberof (e); j++)
+ {
+ inexact = mpfr_set_exp_t (ee, e[j], MPFR_RNDN);
+ MPFR_ASSERTD (inexact == 0);
+ inexact = mpfr_get_z (MPFR_ZEXP (p[0]), ee, MPFR_RNDN);
+ MPFR_ASSERTD (inexact == 0);
+ mpz_sub_ui (MPFR_ZEXP (p[0]), MPFR_ZEXP (p[0]), kn);
+
+ for (k = -kn; k <= kn; k++)
+ {
+ /* exponent: e[j] + k, with |k| <= kn */
+ mpz_set (MPFR_ZEXP (p[1]), MPFR_ZEXP (p[0]));
+
+ for (neg = 0; neg <= 1; neg++)
+ {
+ RND_LOOP (rnd)
+ {
+ /* Note: x[0] and x[1] are equal MPFR numbers, but do not
+ test mpfr_sub with arg2 == arg3 as pointers in order to
+ skip potentially optimized mpfr_sub code. */
+ inexact = mpfr_sub (z, p[0], p[1], (mpfr_rnd_t) rnd);
+ if (inexact != 0 || MPFR_NOTZERO (z) ||
+ (rnd != MPFR_RNDD ? MPFR_IS_NEG (z) : MPFR_IS_POS (z)))
+ {
+ printf ("Error 1 in test_ubf for exact zero result: "
+ "j=%d k=%d neg=%d, rnd=%s\nGot ", j, k, neg,
+ mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+ mpfr_dump (z);
+ printf ("inexact = %d\n", inexact);
+ exit (1);
+ }
+ }
+
+ for (i = 0; i < 2; i++)
+ MPFR_CHANGE_SIGN (p[i]);
+ }
+
+ mpz_add_ui (MPFR_ZEXP (p[0]), MPFR_ZEXP (p[0]), 1);
+ }
+ }
+ for (i = 0; i < 2; i++)
+ {
+ MPFR_UBF_CLEAR_EXP (p[i]);
+ mpfr_clear (p[i]);
+ }
+
+ /* Up to a given exponent (for the result) and sign, test:
+ * (t + .11010) - (t + .00001) = .11001
+ * (t + 8) - (t + 111.00111) = .11001
+ * where t = 0 or a power of 2, e.g. 2^200. Test various exponents
+ * (including those near the underflow/overflow boundaries) so that
+ * the subtraction yields a normal number, an overflow or an underflow.
+ * In MPFR_RNDA, also test with a 2-bit precision target, as this
+ * yields an exponent change.
+ *
+ * Also test the "MAX (aq, bq) + 2 <= diff_exp" branch of sub1.c with
+ * .1 - epsilon (possible decrease of the exponent) and .111 - epsilon
+ * in precision 2 (possible increase of the exponent). The first test
+ * triggers a possible decrease of the exponent (see bug fixed in r13806).
+ * The second test triggers a possible increase of the exponent (see the
+ * "exp_a != MPFR_EXP_MAX" test to avoid an integer overflow).
+ */
+ for (i = 0; i < 8; i++)
+ {
+ static int v[4] = { 26, 1, 256, 231 };
+
+ mpfr_init2 (p[i], i < 4 ? 5 + (randlimb () % 128) : 256);
+ if (i < 4)
+ mpfr_set_si_2exp (p[i], v[i], -5, MPFR_RNDN);
+ else
+ {
+ mpfr_set_si_2exp (p[i], 1, 200, MPFR_RNDN);
+ mpfr_add (p[i], p[i], p[i-4], MPFR_RNDN);
+ }
+ ex[i] = mpfr_get_exp (p[i]) + 5;
+ MPFR_ASSERTD (ex[i] >= 0);
+ }
+ mpfr_inits2 (3, p[8], p[9], p[10], (mpfr_ptr) 0);
+ mpfr_set_si_2exp (p[8], 1, 0, MPFR_RNDN);
+ ex[8] = 5;
+ mpfr_set_si_2exp (p[9], 1, 0, MPFR_RNDN); /* will be epsilon */
+ ex[9] = 0;
+ mpfr_set_si_2exp (p[10], 7, 0, MPFR_RNDN);
+ ex[10] = 5;
+
+ for (i = 0; i < 11; i++)
+ {
+ mpz_init (MPFR_ZEXP (p[i]));
+ MPFR_SET_UBF (p[i]);
+ }
+
+ for (j = 0; j < numberof (e); j++)
+ {
+ inexact = mpfr_set_exp_t (ee, e[j], MPFR_RNDN);
+ MPFR_ASSERTD (inexact == 0);
+ inexact = mpfr_get_z (MPFR_ZEXP (p[0]), ee, MPFR_RNDN);
+ MPFR_ASSERTD (inexact == 0);
+ for (i = 1; i < 11; i++)
+ mpz_set (MPFR_ZEXP (p[i]), MPFR_ZEXP (p[0]));
+ for (i = 0; i < 11; i++)
+ {
+ mpz_add_ui (MPFR_ZEXP (p[i]), MPFR_ZEXP (p[i]), ex[i]);
+ mpz_sub_ui (MPFR_ZEXP (p[i]), MPFR_ZEXP (p[i]), 5 + kn);
+ }
+ mpz_sub_ui (MPFR_ZEXP (p[9]), MPFR_ZEXP (p[9]), 256);
+ for (k = -kn; k <= kn; k++)
+ {
+ for (neg = 0; neg <= 1; neg++)
+ {
+ int sign = neg ? -1 : 1;
+
+ RND_LOOP (rnd)
+ for (i = 0; i <= 10; i += 2)
+ {
+ mpfr_exp_t e0;
+ mpfr_flags_t flags, flags_y;
+ int inex_y;
+
+ if (i >= 8)
+ {
+ int d;
+
+ e0 = MPFR_UBF_GET_EXP (p[i]);
+ if (e0 < MPFR_EXP_MIN + 3)
+ e0 += 3;
+
+ if (rnd == MPFR_RNDN)
+ d = i == 8 ? (e0 == __gmpfr_emin - 1 ? 3 : 4) : 6;
+ else if (MPFR_IS_LIKE_RNDZ (rnd, neg))
+ d = i == 8 ? 3 : 6;
+ else
+ d = i == 8 ? 4 : 8;
+
+ mpfr_clear_flags ();
+ inex_y = mpfr_set_si_2exp (w, sign * d, e0 - 3,
+ (mpfr_rnd_t) rnd);
+ flags_y = __gmpfr_flags | MPFR_FLAGS_INEXACT;
+ if (inex_y == 0)
+ inex_y = rnd == MPFR_RNDN ?
+ sign * (i == 8 ? 1 : -1) :
+ MPFR_IS_LIKE_RNDD ((mpfr_rnd_t) rnd, sign) ?
+ -1 : 1;
+ mpfr_set (y, w, MPFR_RNDN);
+
+ mpfr_clear_flags ();
+ inexact = mpfr_sub (w, p[i], p[9], (mpfr_rnd_t) rnd);
+ flags = __gmpfr_flags;
+
+ /* For MPFR_RNDF, only do a basic test. */
+ MPFR_ASSERTN (mpfr_check (w));
+ if (rnd == MPFR_RNDF)
+ continue;
+
+ goto testw;
+ }
+
+ mpfr_clear_flags ();
+ inexact = mpfr_sub (z, p[i], p[i+1], (mpfr_rnd_t) rnd);
+ flags = __gmpfr_flags;
+
+ /* For MPFR_RNDF, only do a basic test. */
+ MPFR_ASSERTN (mpfr_check (z));
+ if (rnd == MPFR_RNDF)
+ continue;
+
+ e0 = MPFR_UBF_GET_EXP (p[0]);
+
+ if (e0 < __gmpfr_emin)
+ {
+ mpfr_rnd_t r =
+ rnd == MPFR_RNDN && e0 < __gmpfr_emin - 1 ?
+ MPFR_RNDZ : (mpfr_rnd_t) rnd;
+ flags_y = MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT;
+ inex_y = mpfr_underflow (y, r, sign);
+ }
+ else if (e0 > __gmpfr_emax)
+ {
+ flags_y = MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT;
+ inex_y = mpfr_overflow (y, (mpfr_rnd_t) rnd, sign);
+ }
+ else
+ {
+ mpfr_set_si_2exp (y, sign * 25, e0 - 5, MPFR_RNDN);
+ flags_y = 0;
+ inex_y = 0;
+ }
+
+ if (flags != flags_y ||
+ ! SAME_SIGN (inexact, inex_y) ||
+ ! mpfr_equal_p (y, z))
+ {
+ printf ("Error 2 in test_ubf with "
+ "j=%d k=%d neg=%d i=%d rnd=%s\n",
+ j, k, neg, i,
+ mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+ printf ("emin=%" MPFR_EXP_FSPEC "d "
+ "emax=%" MPFR_EXP_FSPEC "d\n",
+ (mpfr_eexp_t) __gmpfr_emin,
+ (mpfr_eexp_t) __gmpfr_emax);
+ printf ("b = ");
+ mpfr_dump (p[i]);
+ printf ("c = ");
+ mpfr_dump (p[i+1]);
+ printf ("Expected ");
+ mpfr_dump (y);
+ printf ("with inex = %d and flags =", inex_y);
+ flags_out (flags_y);
+ printf ("Got ");
+ mpfr_dump (z);
+ printf ("with inex = %d and flags =", inexact);
+ flags_out (flags);
+ exit (1);
+ }
+
+ /* Do the following 2-bit precision test only in RNDA. */
+ if (rnd != MPFR_RNDA)
+ continue;
+
+ mpfr_clear_flags ();
+ inexact = mpfr_sub (w, p[i], p[i+1], MPFR_RNDA);
+ flags = __gmpfr_flags;
+ if (e0 < MPFR_EXP_MAX)
+ e0++;
+
+ if (e0 < __gmpfr_emin)
+ {
+ flags_y = MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT;
+ inex_y = mpfr_underflow (y, MPFR_RNDA, sign);
+ }
+ else if (e0 > __gmpfr_emax)
+ {
+ flags_y = MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT;
+ inex_y = mpfr_overflow (y, MPFR_RNDA, sign);
+ }
+ else
+ {
+ mpfr_set_si_2exp (y, sign, e0 - 1, MPFR_RNDN);
+ flags_y = MPFR_FLAGS_INEXACT;
+ inex_y = sign;
+ }
+
+ testw:
+ if (flags != flags_y ||
+ ! SAME_SIGN (inexact, inex_y) ||
+ ! mpfr_equal_p (y, w))
+ {
+ printf ("Error 3 in test_ubf with "
+ "j=%d k=%d neg=%d i=%d rnd=%s\n",
+ j, k, neg, i,
+ mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+ printf ("emin=%" MPFR_EXP_FSPEC "d "
+ "emax=%" MPFR_EXP_FSPEC "d\n",
+ (mpfr_eexp_t) __gmpfr_emin,
+ (mpfr_eexp_t) __gmpfr_emax);
+ printf ("b = ");
+ mpfr_dump (p[i]);
+ printf ("c = ");
+ mpfr_dump (p[i <= 8 ? i+1 : 9]);
+ printf ("Expected ");
+ /* Set y to a 2-bit precision just for the output.
+ Since we exit, this will have no other effect. */
+ mpfr_prec_round (y, 2, MPFR_RNDA);
+ mpfr_dump (y);
+ printf ("with inex = %d and flags =", inex_y);
+ flags_out (flags_y);
+ printf ("Got ");
+ mpfr_dump (w);
+ printf ("with inex = %d and flags =", inexact);
+ flags_out (flags);
+ exit (1);
+ }
+ }
+
+ for (i = 0; i < 11; i++)
+ MPFR_CHANGE_SIGN (p[i]);
+ }
+
+ for (i = 0; i < 11; i++)
+ mpz_add_ui (MPFR_ZEXP (p[i]), MPFR_ZEXP (p[i]), 1);
+ }
+ }
+ for (i = 0; i < 11; i++)
+ {
+ MPFR_UBF_CLEAR_EXP (p[i]);
+ mpfr_clear (p[i]);
+ }
+
+ mpfr_clears (ee, y, z, w, (mpfr_ptr) 0);
+}
+
+/* Run the tests on UBF with the maximum exponent range and with a
+ reduced exponent range. */
+static void test_ubf (void)
+{
+ mpfr_exp_t emin, emax;
+
+ emin = mpfr_get_emin ();
+ emax = mpfr_get_emax ();
+
+ set_emin (MPFR_EMIN_MIN);
+ set_emax (MPFR_EMAX_MAX);
+ test_ubf_aux ();
+
+ set_emin (-REXP);
+ set_emax (REXP);
+ test_ubf_aux ();
+
+ set_emin (emin);
+ set_emax (emax);
+}
+
#define TEST_FUNCTION test_sub
#define TWO_ARGS
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), randlimb () % 100, RANDS)
@@ -1188,6 +1540,7 @@
for (i=0; i<50; i++)
check_two_sum (p);
test_generic (MPFR_PREC_MIN, 800, 100);
+ test_ubf ();
tests_end_mpfr ();
return 0;
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