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gmp/ibm_z13_simd_part2.patch

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Co-authored-by: Stefan Liebler <stli at linux.ibm.com>
---
mpn/s390_64/z13/aormul_2.c | 476 +++++++++++++++++++++++++++++++++++
mpn/s390_64/z13/gmp-mparam.h | 37 +++
2 files changed, 513 insertions(+)
create mode 100644 mpn/s390_64/z13/aormul_2.c
create mode 100644 mpn/s390_64/z13/gmp-mparam.h
diff --git a/mpn/s390_64/z13/aormul_2.c b/mpn/s390_64/z13/aormul_2.c
new file mode 100644
index 000000000..9a69fc38e
--- /dev/null
+++ b/mpn/s390_64/z13/aormul_2.c
@@ -0,0 +1,476 @@
+/* Addmul_2 / mul_2 for IBM z13 or later
+
+Copyright 2021 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+ * the GNU Lesser General Public License as published by the Free
+ Software Foundation; either version 3 of the License, or (at your
+ option) any later version.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+The GNU MP Library 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 copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/. */
+
+#include "gmp-impl.h"
+
+#include "s390_64/z13/common-vec.h"
+
+#undef FUNCNAME
+
+#ifdef DO_INLINE
+# ifdef OPERATION_addmul_2
+# define ADD
+# define FUNCNAME inline_addmul_2
+# elif defined(OPERATION_mul_2)
+# define FUNCNAME inline_mul_2
+# else
+# error Missing define for operation to perform
+# endif
+#else
+# ifdef OPERATION_addmul_2
+# define ADD
+# define FUNCNAME mpn_addmul_2
+# elif defined(OPERATION_mul_2)
+# define FUNCNAME mpn_mul_2
+# else
+# error Missing define for operation to perform
+# endif
+#endif
+
+#ifdef DO_INLINE
+static inline mp_limb_t
+FUNCNAME (mp_limb_t *rp, const mp_limb_t *up, mp_size_t n, const mp_limb_t *vp)
+ __attribute__ ((always_inline));
+
+static inline
+#endif
+mp_limb_t
+FUNCNAME (mp_limb_t *rp, const mp_limb_t *up, mp_size_t n,
+ const mp_limb_t *vp)
+{
+
+ /* Combine 64x64 multiplication into GPR pairs (MLGR) with 128-bit adds in
+ VRs (using each VR as a single 128-bit accumulator).
+ The inner loop is unrolled to four limbs, with two blocks of four
+ multiplications each. Since the MLGR operation operates on even/odd GPR
+ pairs, pin the products appropriately. */
+
+ register mp_limb_t p0_high asm("r0");
+ register mp_limb_t p0_low asm("r1");
+
+ register mp_limb_t p1_high asm("r8");
+ register mp_limb_t p1_low asm("r9");
+
+ register mp_limb_t p2_high asm("r6");
+ register mp_limb_t p2_low asm("r7");
+
+ register mp_limb_t p3_high asm("r10");
+ register mp_limb_t p3_low asm("r11");
+
+ vec_t carry_prod = { .dw = vec_splat_u64 (0) };
+ vec_t zero = { .dw = vec_splat_u64 (0) };
+
+ /* two carry-bits for the 128-bit VR adds - stored in VRs */
+#ifdef ADD
+ vec_t carry_vec0 = { .dw = vec_splat_u64 (0) };
+#endif
+ vec_t carry_vec1 = { .dw = vec_splat_u64 (0) };
+
+ vec_t tmp;
+
+ vec_t sum0, sum1;
+
+ /* products transferred into VRs for accumulating there */
+ vec_t pv0, pv3;
+ vec_t pv1_low, pv1_high, pv2_low, pv2_high;
+ vec_t low, middle, high;
+#ifdef ADD
+ vec_t rp0, rp1;
+#endif
+
+ register mp_limb_t v0 asm("r12");
+ register mp_limb_t v1 asm("r5");
+ v0 = vp[0];
+ v1 = vp[1];
+
+ /* The scalar multiplications compete with pointer and index increments for
+ * issue ports. Thus, increment the loop index in the middle of the loop so
+ * that the operations for the next iteration's multiplications can be
+ * loaded in time (looks horrible, yet helps performance) and make sure we
+ * use addressing with base reg + index reg + immediate displacement
+ * (so that only the single index needs incrementing, instead of multiple
+ * pointers). */
+#undef LOOP_ADVANCE
+#define LOOP_ADVANCE (4 * sizeof (mp_limb_t))
+#define IDX_OFFSET (LOOP_ADVANCE)
+
+ register ssize_t idx = 0 - IDX_OFFSET;
+#ifdef BRCTG
+ ssize_t iterations = (size_t)n / 4;
+#else
+ ssize_t const idx_bound = n * sizeof (mp_limb_t) - IDX_OFFSET;
+#endif
+
+ /*
+ * To minimize latency in the carry chain, accumulate in VRs with 128-bit
+ * adds with carry in and out. As a downside, these require two insns for
+ * each add - one to calculate the sum, one to deliver the carry out.
+ * To reduce the overall number of insns to execute, combine adding up
+ * product limbs such that there cannot be a carry out and one (for mul) or
+ * two (for addmul) adds with carry chains.
+ *
+ * Since (2^64-1) * (2^64-1) = (2^128-1) - 2 * (2^64-1), we can add two
+ * limbs into each 128-bit product without causing carry out.
+ *
+ * For each block of 2 limbs * 2 limbs
+ *
+ * | u[i] * v[0] (p2) |
+ * | u[i] * v[1] (p0) |
+ * | u[i+1] * v[0](p1) |
+ * | u[i+1] * v[1](p3) |
+ * < 128 bits > < 128 bits >
+ *
+ * we can begin accumulating with "simple" carry-oblivious 128-bit adds:
+ * - p0 + low limb of p1
+ * + high limb of p2
+ * and combine resulting low limb with p2's low limb
+ * - p3 + high limb of p1
+ * + high limb of sum above
+ * ... which will will result in two 128-bit limbs to be fed into the carry
+ * chain(s).
+ * Overall, that scheme saves instructions and improves performance, despite
+ * slightly increasing latency between multiplications and carry chain (yet
+ * not in the carry chain).
+ */
+
+#define LOAD_LOW_LIMB(VEC, LIMB) \
+ do \
+ { \
+ asm("vzero\t%[vec]\n\t" \
+ "vlvgg\t%[vec],%[limb],1" \
+ : [vec] "=v"(VEC) \
+ : [limb] "r"(LIMB)); \
+ } \
+ while (0)
+
+ /* for the 128-bit adds in the carry chain, to calculate a + b + carry-in we
+ * need paired vec_adde_u128 (delivers sum) and vec_addec_u128 (delivers new
+ * carry) */
+#define ADD_UP2_CARRY_INOUT(SUMIDX, CARRYIDX, ADDEND1, ADDEND2) \
+ do \
+ { \
+ sum##SUMIDX.sw \
+ = vec_adde_u128 (ADDEND1.sw, ADDEND2.sw, carry_vec##CARRYIDX.sw); \
+ carry_vec##CARRYIDX.sw \
+ = vec_addec_u128 (ADDEND1.sw, ADDEND2.sw, carry_vec##CARRYIDX.sw); \
+ } \
+ while (0)
+
+#define ADD_UP_CARRY_INOUT(SUMIDX, ADDEND1, ADDEND2) \
+ ADD_UP2_CARRY_INOUT (SUMIDX, SUMIDX, ADDEND1, ADDEND2)
+
+ /* variant without carry-in for prologue */
+#define ADD_UP2_CARRY_OUT(SUMIDX, CARRYIDX, ADDEND1, ADDEND2) \
+ do \
+ { \
+ sum##SUMIDX.sw = vec_add_u128 (ADDEND1.sw, ADDEND2.sw); \
+ carry_vec##CARRYIDX.sw = vec_addc_u128 (ADDEND1.sw, ADDEND2.sw); \
+ } \
+ while (0)
+
+#define ADD_UP_CARRY_OUT(SUMIDX, ADDEND1, ADDEND2) \
+ ADD_UP2_CARRY_OUT (SUMIDX, SUMIDX, ADDEND1, ADDEND2)
+
+ /* prologue for 4x-unrolled main loop */
+ switch ((size_t)n % 4)
+ {
+ case 1:
+ ASM_LOADGPR_BASE (p0_low, up, 0);
+ ASM_LOADGPR_BASE (p1_low, up, 0);
+ s390_double_umul_ppmm_distinct (p0_high, p0_low, p1_high, p1_low, v0, v1);
+ carry_prod.dw = vec_load_2di_as_pair (p1_high, p1_low);
+
+/* gcc tries to be too clever and vlr from a reg that is already zero. vzero is
+ * cheaper. */
+# define NEW_CARRY(VEC, LIMB) \
+ do \
+ { \
+ asm("vzero\t%[vec]\n\t" \
+ "vlvgg\t%[vec],%[limb],1" \
+ : [vec] "=v"(VEC) \
+ : [limb] "r"(LIMB)); \
+ } \
+ while (0)
+
+ NEW_CARRY (tmp, p0_high);
+
+ carry_prod.sw = vec_add_u128 (carry_prod.sw, tmp.sw);
+#ifdef ADD
+ carry_vec1.dw[1] = __builtin_add_overflow (rp[0], p0_low, rp);
+#else
+ rp[0] = p0_low;
+#endif
+ idx += sizeof (mp_limb_t);
+ break;
+
+ case 2:
+ ASM_LOADGPR_BASE (p0_low, up, 0);
+ ASM_LOADGPR_BASE (p1_low, up, 8);
+ ASM_LOADGPR_BASE (p2_low, up, 0);
+ ASM_LOADGPR_BASE (p3_low, up, 8);
+
+ asm(""
+ : "=r"(p0_low), "=r"(p2_low)
+ : "r"(p3_low), "0"(p0_low), "r"(p1_low), "1"(p2_low));
+ s390_double_umul_ppmm_distinct (p0_high, p0_low, p1_high, p1_low, v1, v0);
+ s390_double_umul_ppmm_distinct (p2_high, p2_low, p3_high, p3_low, v0, v1);
+
+ pv0.dw = vec_load_2di_as_pair (p0_high, p0_low);
+ LOAD_LOW_LIMB (pv1_low, p1_low);
+ LOAD_LOW_LIMB (pv1_high, p1_high);
+ pv0.sw = vec_add_u128 (pv0.sw, pv1_low.sw);
+ LOAD_LOW_LIMB (pv2_high, p2_high);
+ pv3.dw = vec_load_2di_as_pair (p3_high, p3_low);
+ LOAD_LOW_LIMB (pv2_low, p2_low);
+ pv3.sw = vec_add_u128 (pv3.sw, pv1_high.sw);
+ middle.sw = vec_add_u128 (pv0.sw, pv2_high.sw);
+ low.dw = vec_permi (middle.dw, pv2_low.dw, 3);
+ middle.dw = vec_permi (zero.dw, middle.dw, 0);
+ high.sw = vec_add_u128 (middle.sw, pv3.sw);
+#ifdef ADD
+ rp0 = vec_load_elements_reversed (rp, 0);
+ ADD_UP_CARRY_OUT (0, rp0, carry_prod);
+#else
+ sum0 = carry_prod;
+#endif
+ ADD_UP_CARRY_OUT (1, sum0, low);
+ vec_store_elements_reversed (rp, 0, sum1);
+ carry_prod = high;
+
+ idx += 2 * sizeof (mp_limb_t);
+ break;
+
+ case 3:
+ ASM_LOADGPR_BASE (p0_low, up, 0);
+ ASM_LOADGPR_BASE (p1_low, up, 0);
+ s390_double_umul_ppmm_distinct (p0_high, p0_low, p1_high, p1_low, v0, v1);
+ carry_prod.dw = vec_load_2di_as_pair (p1_high, p1_low);
+ NEW_CARRY (tmp, p0_high);
+ carry_prod.sw = vec_add_u128 (carry_prod.sw, tmp.sw);
+
+#ifdef ADD
+ carry_vec1.dw[1] = __builtin_add_overflow (rp[0], p0_low, rp);
+#else
+ rp[0] = p0_low;
+#endif
+
+ ASM_LOADGPR_BASE (p0_low, up, 8);
+ ASM_LOADGPR_BASE (p1_low, up, 16);
+ ASM_LOADGPR_BASE (p2_low, up, 8);
+ ASM_LOADGPR_BASE (p3_low, up, 16);
+
+ asm(""
+ : "=r"(p0_low), "=r"(p2_low)
+ : "r"(p3_low), "0"(p0_low), "r"(p1_low), "1"(p2_low));
+ s390_double_umul_ppmm_distinct (p0_high, p0_low, p1_high, p1_low, v1, v0);
+ s390_double_umul_ppmm_distinct (p2_high, p2_low, p3_high, p3_low, v0, v1);
+
+ pv0.dw = vec_load_2di_as_pair (p0_high, p0_low);
+
+ LOAD_LOW_LIMB (pv1_low, p1_low);
+ LOAD_LOW_LIMB (pv1_high, p1_high);
+
+ pv0.sw = vec_add_u128 (pv0.sw, pv1_low.sw);
+ LOAD_LOW_LIMB (pv2_high, p2_high);
+ pv3.dw = vec_load_2di_as_pair (p3_high, p3_low);
+
+ LOAD_LOW_LIMB (pv2_low, p2_low);
+
+ pv3.sw = vec_add_u128 (pv3.sw, pv1_high.sw);
+ middle.sw = vec_add_u128 (pv0.sw, pv2_high.sw);
+
+ low.dw = vec_permi (middle.dw, pv2_low.dw, 3);
+ middle.dw = vec_permi (zero.dw, middle.dw, 0);
+ high.sw = vec_add_u128 (middle.sw, pv3.sw);
+
+#ifdef ADD
+ vec_t rp0 = vec_load_elements_reversed (rp, 8);
+ ADD_UP_CARRY_OUT (0, rp0, carry_prod);
+#else
+ sum0 = carry_prod;
+#endif
+ ADD_UP_CARRY_INOUT (1, sum0, low);
+
+ vec_store_elements_reversed (rp, 8, sum1);
+
+ carry_prod = high;
+
+ idx += 3 * sizeof (mp_limb_t);
+ break;
+ }
+
+ /*
+ * branch-on-count implicitly hint to the branch prediction as taken, while
+ * compare-and-branch hints as not taken. currently, using branch-on-count
+ * has a performance advantage, but it is not clear that it is generally
+ * the better choice (e.g., branch-on-count requires decrementing the
+ * separate counter). so, allow switching the loop condition to enable
+ * either category of branch instructions:
+ * - idx is less than an upper bound, for compare-and-branch
+ * - iteration counter greater than zero, for branch-on-count
+ */
+#ifdef BRCTG
+ for (; iterations > 0; iterations--)
+ {
+#else
+ while (idx < idx_bound)
+ {
+#endif
+ /* The 64x64->128 MLGR multiplies two factors in GPRs and stores the
+ * result in a GPR pair. One of the factors is taken from the GPR pair
+ * and overwritten.
+ * To reuse factors, it turned out cheaper to load limbs multiple times
+ * than copying GPR contents. Enforce that and the use of addressing by
+ * base + index gpr + immediate displacement via inline asm.
+ */
+ ASM_LOADGPR (p0_low, up, idx, 0 + IDX_OFFSET);
+ ASM_LOADGPR (p1_low, up, idx, 8 + IDX_OFFSET);
+ ASM_LOADGPR (p2_low, up, idx, 0 + IDX_OFFSET);
+ ASM_LOADGPR (p3_low, up, idx, 8 + IDX_OFFSET);
+
+ s390_double_umul_ppmm_distinct (p0_high, p0_low, p1_high, p1_low, v1, v0);
+
+ pv0.dw = vec_load_2di_as_pair (p0_high, p0_low);
+
+ LOAD_LOW_LIMB (pv1_low, p1_low);
+ LOAD_LOW_LIMB (pv1_high, p1_high);
+
+ s390_double_umul_ppmm_distinct (p2_high, p2_low, p3_high, p3_low, v0, v1);
+
+ pv0.sw = vec_add_u128 (pv0.sw, pv1_low.sw);
+ LOAD_LOW_LIMB (pv2_high, p2_high);
+ pv3.dw = vec_load_2di_as_pair (p3_high, p3_low);
+
+ LOAD_LOW_LIMB (pv2_low, p2_low);
+
+ ASM_LOADGPR (p0_low, up, idx, 16 + IDX_OFFSET);
+ ASM_LOADGPR (p1_low, up, idx, 24 + IDX_OFFSET);
+ ASM_LOADGPR (p2_low, up, idx, 16 + IDX_OFFSET);
+ ASM_LOADGPR (p3_low, up, idx, 24 + IDX_OFFSET);
+
+ idx += LOOP_ADVANCE;
+
+ /*
+ * "barrier" to enforce scheduling the index increment before the second
+ * block of multiplications. not required for clang.
+ */
+#ifndef __clang__
+ asm(""
+ : "=r"(idx), "=r"(p0_high), "=r"(p2_high)
+ : "0"(idx), "1"(p0_high), "2"(p2_high));
+#endif
+
+ s390_double_umul_ppmm_distinct (p0_high, p0_low, p1_high, p1_low, v1, v0);
+ s390_double_umul_ppmm_distinct (p2_high, p2_low, p3_high, p3_low, v0, v1);
+
+ /*
+ * "barrier" to enforce scheduling all MLGRs first, before any adding
+ * up. note that clang produces better code without.
+ */
+#ifndef __clang__
+ asm(""
+ : "=v"(pv0.sw), "=v"(pv3.sw)
+ : "1"(pv3.sw), "0"(pv0.sw), "r"(p0_high), "r"(p2_high));
+#endif
+
+ pv3.sw = vec_add_u128 (pv3.sw, pv1_high.sw);
+ middle.sw = vec_add_u128 (pv0.sw, pv2_high.sw);
+
+ low.dw = vec_permi (middle.dw, pv2_low.dw,
+ 3); /* least-significant doubleword from both vectors */
+ middle.dw = vec_permi (zero.dw, middle.dw, 0);
+ high.sw = vec_add_u128 (middle.sw, pv3.sw);
+
+#ifdef ADD
+ rp0 = vec_load_elements_reversed_idx (rp, idx,
+ 0 + IDX_OFFSET - LOOP_ADVANCE);
+ ADD_UP_CARRY_INOUT (0, rp0, carry_prod);
+#else
+ sum0 = carry_prod;
+#endif
+ ADD_UP_CARRY_INOUT (1, sum0, low);
+
+ vec_store_elements_reversed_idx (rp, idx, 0 + IDX_OFFSET - LOOP_ADVANCE,
+ sum1);
+
+ carry_prod = high;
+
+ vec_t pv0_2, pv3_2;
+ vec_t pv1_low_2, pv1_high_2, pv2_low_2, pv2_high_2;
+ vec_t low_2, middle_2, high_2;
+ vec_t sum2, sum3;
+
+ pv0_2.dw = vec_load_2di_as_pair (p0_high, p0_low);
+ LOAD_LOW_LIMB (pv1_low_2, p1_low);
+ LOAD_LOW_LIMB (pv1_high_2, p1_high);
+
+ pv0_2.sw = vec_add_u128 (pv0_2.sw, pv1_low_2.sw);
+ LOAD_LOW_LIMB (pv2_high_2, p2_high);
+ pv3_2.dw = vec_load_2di_as_pair (p3_high, p3_low);
+ pv3_2.sw = vec_add_u128 (pv3_2.sw, pv1_high_2.sw);
+ middle_2.sw = vec_add_u128 (pv0_2.sw, pv2_high_2.sw);
+
+ LOAD_LOW_LIMB (pv2_low_2, p2_low);
+ low_2.dw
+ = vec_permi (middle_2.dw, pv2_low_2.dw,
+ 3); /* least-significant doubleword from both vectors */
+ middle_2.dw = vec_permi (zero.dw, middle_2.dw, 0);
+ high_2.sw = vec_add_u128 (middle_2.sw, pv3_2.sw);
+
+ /*
+ * another "barrier" to influence scheduling. (also helps in clang)
+ */
+ asm("" : : "v"(pv0_2.sw), "r"(p2_high), "r"(p3_high), "v"(pv3_2.sw));
+
+#ifdef ADD
+ rp1 = vec_load_elements_reversed_idx (rp, idx,
+ 16 + IDX_OFFSET - LOOP_ADVANCE);
+ ADD_UP2_CARRY_INOUT (2, 0, rp1, carry_prod);
+#else
+ sum2 = carry_prod;
+#endif
+ ADD_UP2_CARRY_INOUT (3, 1, sum2, low_2);
+
+ vec_store_elements_reversed_idx (rp, idx, 16 + IDX_OFFSET - LOOP_ADVANCE,
+ sum3);
+
+ carry_prod = high_2;
+ }
+
+#ifdef ADD
+ sum0.sw = vec_adde_u128 (carry_prod.sw, carry_vec0.sw, carry_vec1.sw);
+#else
+ sum0.sw = vec_add_u128 (carry_prod.sw, carry_vec1.sw);
+#endif
+
+ *(mp_ptr) (((char *)rp) + idx + 0 + IDX_OFFSET) = (mp_limb_t)sum0.dw[1];
+
+ return (mp_limb_t)sum0.dw[0];
+}
diff --git a/mpn/s390_64/z13/gmp-mparam.h b/mpn/s390_64/z13/gmp-mparam.h
new file mode 100644
index 000000000..a17503fd0
--- /dev/null
+++ b/mpn/s390_64/z13/gmp-mparam.h
@@ -0,0 +1,37 @@
+/* S/390-64 for IBM z13 gmp-mparam.h -- Compiler/machine parameter header file.
+
+Copyright 1991, 1993, 1994, 2000-2011 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+ * the GNU Lesser General Public License as published by the Free
+ Software Foundation; either version 3 of the License, or (at your
+ option) any later version.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+The GNU MP Library 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 copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/. */
+
+#define GMP_LIMB_BITS 64
+#define GMP_LIMB_BYTES 8
+
+#define HAVE_NATIVE_mpn_addmul_2 1
+#define HAVE_NATIVE_mpn_mul_2 1
+
+#include "mpn/s390_64/gmp-mparam.h"
--
2.40.1
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