Compare commits
No commits in common. 'c9' and 'c8' have entirely different histories.
@ -1 +1 @@
|
||||
SOURCES/gmp-6.2.0.tar.bz2
|
||||
SOURCES/gmp-6.1.2.tar.bz2
|
||||
|
||||
@ -1 +1 @@
|
||||
5e9341d3807bc7505376f9ed9f5c1c6c57050aa6 SOURCES/gmp-6.2.0.tar.bz2
|
||||
366ded6a44cd108ba6b3f5b9a252eab3f3a95cdf SOURCES/gmp-6.1.2.tar.bz2
|
||||
|
||||
@ -1,25 +0,0 @@
|
||||
|
||||
# HG changeset patch
|
||||
# User Marco Bodrato <bodrato@mail.dm.unipi.it>
|
||||
# Date 1634836009 -7200
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||||
# Node ID 561a9c25298e17bb01896801ff353546c6923dbd
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||||
# Parent e1fd9db13b475209a864577237ea4b9105b3e96e
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||||
mpz/inp_raw.c: Avoid bit size overflows
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||||
|
||||
diff -r e1fd9db13b47 -r 561a9c25298e mpz/inp_raw.c
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||||
--- a/mpz/inp_raw.c Tue Dec 22 23:49:51 2020 +0100
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||||
+++ b/mpz/inp_raw.c Thu Oct 21 19:06:49 2021 +0200
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||||
@@ -88,8 +88,11 @@
|
||||
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||||
abs_csize = ABS (csize);
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||||
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||||
+ if (UNLIKELY (abs_csize > ~(mp_bitcnt_t) 0 / 8))
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+ return 0; /* Bit size overflows */
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||||
+
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||||
/* round up to a multiple of limbs */
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- abs_xsize = BITS_TO_LIMBS (abs_csize*8);
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+ abs_xsize = BITS_TO_LIMBS ((mp_bitcnt_t) abs_csize * 8);
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if (abs_xsize != 0)
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{
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File diff suppressed because it is too large
Load Diff
File diff suppressed because it is too large
Load Diff
@ -1,595 +0,0 @@
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Co-authored-by: Stefan Liebler <stli at linux.ibm.com>
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---
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||||
mpn/s390_64/z13/addmul_1.c | 358 +++++++++++++++++++++++++++++++++++
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||||
mpn/s390_64/z13/common-vec.h | 175 +++++++++++++++++
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mpn/s390_64/z13/mul_1.c | 31 +++
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3 files changed, 564 insertions(+)
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create mode 100644 mpn/s390_64/z13/addmul_1.c
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create mode 100644 mpn/s390_64/z13/common-vec.h
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create mode 100644 mpn/s390_64/z13/mul_1.c
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||||
|
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diff --git a/mpn/s390_64/z13/addmul_1.c b/mpn/s390_64/z13/addmul_1.c
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||||
new file mode 100644
|
||||
index 000000000..022e5edcc
|
||||
--- /dev/null
|
||||
+++ b/mpn/s390_64/z13/addmul_1.c
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||||
@@ -0,0 +1,358 @@
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||||
+/* Addmul_1 / mul_1 for IBM z13 and later
|
||||
+ Contributed by Marius Hillenbrand
|
||||
+
|
||||
+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"
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||||
+
|
||||
+#undef FUNCNAME
|
||||
+
|
||||
+#ifdef DO_INLINE
|
||||
+# ifdef OPERATION_addmul_1
|
||||
+# define ADD
|
||||
+# define FUNCNAME inline_addmul_1
|
||||
+# elif defined(OPERATION_mul_1)
|
||||
+# define FUNCNAME inline_mul_1
|
||||
+# endif
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||||
+
|
||||
+#else
|
||||
+# ifdef OPERATION_addmul_1
|
||||
+# define ADD
|
||||
+# define FUNCNAME mpn_addmul_1
|
||||
+# elif defined(OPERATION_mul_1)
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||||
+# define FUNCNAME mpn_mul_1
|
||||
+# endif
|
||||
+#endif
|
||||
+
|
||||
+#ifdef DO_INLINE
|
||||
+static inline mp_limb_t
|
||||
+FUNCNAME (mp_ptr rp, mp_srcptr s1p, mp_size_t n, mp_limb_t s2limb)
|
||||
+ __attribute__ ((always_inline));
|
||||
+
|
||||
+static inline
|
||||
+#endif
|
||||
+mp_limb_t
|
||||
+FUNCNAME (mp_ptr rp, mp_srcptr s1p, mp_size_t n, mp_limb_t s2limb)
|
||||
+{
|
||||
+ ASSERT (n >= 1);
|
||||
+ ASSERT (MPN_SAME_OR_INCR_P(rp, s1p, n));
|
||||
+
|
||||
+ /* 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. */
|
||||
+
|
||||
+ /* products as GPR pairs */
|
||||
+ 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");
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||||
+
|
||||
+ 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");
|
||||
+
|
||||
+ /* carry flag for 128-bit add in VR for first carry chain */
|
||||
+ vec_t carry_vec0 = { .dw = vec_splat_u64 (0) };
|
||||
+ mp_limb_t carry_limb = 0;
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ /* 2nd carry flag for 2nd carry chain with addmul */
|
||||
+ vec_t carry_vec1 = { .dw = vec_splat_u64 (0) };
|
||||
+ vec_t sum0;
|
||||
+ vec_t rp0_addend, rp1_addend;
|
||||
+ rp0_addend.dw = vec_splat_u64 (0);
|
||||
+ rp1_addend.dw = vec_splat_u64 (0);
|
||||
+#endif
|
||||
+ vec_t sum1;
|
||||
+
|
||||
+ vec_t carry_prod = { .dw = vec_splat_u64 (0) };
|
||||
+
|
||||
+ /* 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
|
||||
+#undef IDX_OFFSET
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||||
+
|
||||
+#define LOOP_ADVANCE 4 * sizeof (mp_limb_t)
|
||||
+#define IDX_OFFSET (LOOP_ADVANCE)
|
||||
+ register ssize_t idx = 0 - IDX_OFFSET;
|
||||
+
|
||||
+ /*
|
||||
+ * 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
|
||||
+ */
|
||||
+#define BRCTG
|
||||
+#ifdef BRCTG
|
||||
+ ssize_t iterations = (size_t)n / 4;
|
||||
+#else
|
||||
+ ssize_t const idx_bound = n * sizeof (mp_limb_t) - IDX_OFFSET;
|
||||
+#endif
|
||||
+
|
||||
+ /* products will be transferred into VRs before adding up.
|
||||
+ * see main loop below for comments on accumulation scheme. */
|
||||
+ vec_t product0, product1, product2;
|
||||
+
|
||||
+ product0.dw = vec_splat_u64 (0);
|
||||
+
|
||||
+ switch ((size_t)n % 4)
|
||||
+ {
|
||||
+ case 0:
|
||||
+ break;
|
||||
+
|
||||
+ case 1:
|
||||
+ idx = 1 * sizeof (mp_limb_t) - IDX_OFFSET;
|
||||
+
|
||||
+ p3_low = s1p[0];
|
||||
+ s390_umul_ppmm (p3_high, p3_low, s2limb);
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ rp0_addend.dw[1] = rp[0];
|
||||
+ product0.dw[1] = p3_low;
|
||||
+
|
||||
+ sum0.sw = vec_add_u128 (product0.sw, rp0_addend.sw);
|
||||
+ carry_vec1.dw = vec_permi (sum0.dw, sum0.dw, 0);
|
||||
+
|
||||
+ rp[0] = sum0.dw[1];
|
||||
+#else
|
||||
+ rp[0] = p3_low;
|
||||
+#endif
|
||||
+
|
||||
+ carry_limb = p3_high;
|
||||
+ break;
|
||||
+
|
||||
+ case 2:
|
||||
+ p0_low = s1p[0];
|
||||
+ p3_low = s1p[1];
|
||||
+ idx = 2 * sizeof (mp_limb_t) - IDX_OFFSET;
|
||||
+
|
||||
+ s390_double_umul_ppmm (p0_high, p0_low, p3_high, p3_low, s2limb);
|
||||
+
|
||||
+ carry_prod.dw[0] = p3_low;
|
||||
+
|
||||
+ product0.dw = vec_load_2di_as_pair (p0_high, p0_low);
|
||||
+
|
||||
+ carry_limb = p3_high;
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ rp0_addend = vec_load_elements_reversed (rp, 0);
|
||||
+ sum0.sw = vec_add_u128 (carry_prod.sw, rp0_addend.sw);
|
||||
+ carry_vec0.sw = vec_addc_u128 (carry_prod.sw, rp0_addend.sw);
|
||||
+
|
||||
+ sum1.sw = vec_add_u128 (sum0.sw, product0.sw);
|
||||
+ carry_vec1.sw = vec_addc_u128 (sum0.sw, product0.sw);
|
||||
+#else
|
||||
+ sum1.sw = vec_add_u128 (carry_prod.sw, product0.sw);
|
||||
+ carry_vec0.sw = vec_addc_u128 (carry_prod.sw, product0.sw);
|
||||
+#endif
|
||||
+
|
||||
+ vec_store_elements_reversed (rp, 0, sum1);
|
||||
+
|
||||
+ break;
|
||||
+
|
||||
+ case 3:
|
||||
+ idx = 3 * sizeof (mp_limb_t) - IDX_OFFSET;
|
||||
+
|
||||
+ p0_low = s1p[0];
|
||||
+ s390_umul_ppmm (p0_high, p0_low, s2limb);
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ rp0_addend.dw[1] = rp[0];
|
||||
+ product0.dw[1] = p0_low;
|
||||
+
|
||||
+ sum0.sw = vec_add_u128 (product0.sw, rp0_addend.sw);
|
||||
+ carry_vec1.dw = vec_permi (sum0.dw, sum0.dw, 0);
|
||||
+
|
||||
+ rp[0] = sum0.dw[1];
|
||||
+#else
|
||||
+ rp[0] = p0_low;
|
||||
+#endif
|
||||
+ carry_limb = p0_high;
|
||||
+
|
||||
+ p1_low = s1p[1];
|
||||
+ p3_low = s1p[2];
|
||||
+
|
||||
+ s390_double_umul_ppmm (p1_high, p1_low, p3_high, p3_low, s2limb);
|
||||
+
|
||||
+ carry_prod.dw = vec_load_2di_as_pair (p3_low, carry_limb);
|
||||
+ product1.dw = vec_load_2di_as_pair (p1_high, p1_low);
|
||||
+ carry_limb = p3_high;
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ rp0_addend = vec_load_elements_reversed (rp, 8);
|
||||
+ sum0.sw = vec_add_u128 (carry_prod.sw, rp0_addend.sw);
|
||||
+ carry_vec0.sw = vec_addc_u128 (carry_prod.sw, rp0_addend.sw);
|
||||
+
|
||||
+ sum1.sw = vec_adde_u128 (sum0.sw, product1.sw, carry_vec1.sw);
|
||||
+ carry_vec1.sw = vec_addec_u128 (sum0.sw, product1.sw, carry_vec1.sw);
|
||||
+#else
|
||||
+ sum1.sw = vec_adde_u128 (carry_prod.sw, product1.sw, carry_vec0.sw);
|
||||
+ carry_vec0.sw
|
||||
+ = vec_addec_u128 (carry_prod.sw, product1.sw, carry_vec0.sw);
|
||||
+#endif
|
||||
+ vec_store_elements_reversed (rp, 8, sum1);
|
||||
+ break;
|
||||
+ }
|
||||
+
|
||||
+#ifdef BRCTG
|
||||
+ for (; iterations > 0; iterations--)
|
||||
+ {
|
||||
+#else
|
||||
+ while (idx < idx_bound)
|
||||
+ {
|
||||
+#endif
|
||||
+ vec_t overlap_addend0;
|
||||
+ vec_t overlap_addend1;
|
||||
+
|
||||
+ /* 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, s1p, idx, 0 + IDX_OFFSET);
|
||||
+ ASM_LOADGPR (p1_low, s1p, idx, 8 + IDX_OFFSET);
|
||||
+ ASM_LOADGPR (p2_low, s1p, idx, 16 + IDX_OFFSET);
|
||||
+ ASM_LOADGPR (p3_low, s1p, idx, 24 + IDX_OFFSET);
|
||||
+
|
||||
+ /*
|
||||
+ * accumulate products as follows (for addmul):
|
||||
+ * | rp[i+3] | rp[i+2] | rp[i+1] | rp[i] |
|
||||
+ * p0_high | p0_low |
|
||||
+ * p1_high | p1_low | carry-limb in
|
||||
+ * p2_high | p2_low |
|
||||
+ * c-limb out <- p3_high | p3_low |
|
||||
+ * | < 128-bit VR > < 128-bit VR >
|
||||
+ *
|
||||
+ * < rp1_addend > < rp0_addend >
|
||||
+ * carry-chain 0 <- + <- + <- carry_vec0[127]
|
||||
+ * < product1 > < product0 >
|
||||
+ * carry-chain 1 <- + <- + <- carry_vec1[127]
|
||||
+ * < overlap_addend1 > < overlap_addend0 >
|
||||
+ *
|
||||
+ * note that a 128-bit add with carry in + out is built from two insns
|
||||
+ * - vec_adde_u128 (vacq) provides sum
|
||||
+ * - vec_addec_u128 (vacccq) provides the new carry bit
|
||||
+ */
|
||||
+
|
||||
+ s390_double_umul_ppmm (p0_high, p0_low, p1_high, p1_low, s2limb);
|
||||
+
|
||||
+ /*
|
||||
+ * "barrier" to enforce scheduling loads for all limbs and first round
|
||||
+ * of MLGR before anything else.
|
||||
+ */
|
||||
+ asm volatile("");
|
||||
+
|
||||
+ product0.dw = vec_load_2di_as_pair (p0_high, p0_low);
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ rp0_addend = vec_load_elements_reversed_idx (rp, idx, 0 + IDX_OFFSET);
|
||||
+ rp1_addend = vec_load_elements_reversed_idx (rp, idx, 16 + IDX_OFFSET);
|
||||
+#endif
|
||||
+ /* increment loop index to unblock dependant loads of limbs for the next
|
||||
+ * iteration (see above at #define LOOP_ADVANCE) */
|
||||
+ idx += LOOP_ADVANCE;
|
||||
+
|
||||
+ s390_double_umul_ppmm (p2_high, p2_low, p3_high, p3_low, s2limb);
|
||||
+
|
||||
+ overlap_addend0.dw = vec_load_2di_as_pair (p1_low, carry_limb);
|
||||
+ asm volatile("");
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ sum0.sw = vec_adde_u128 (product0.sw, rp0_addend.sw, carry_vec0.sw);
|
||||
+ sum1.sw = vec_adde_u128 (sum0.sw, overlap_addend0.sw, carry_vec1.sw);
|
||||
+
|
||||
+ carry_vec0.sw
|
||||
+ = vec_addec_u128 (product0.sw, rp0_addend.sw, carry_vec0.sw);
|
||||
+ carry_vec1.sw
|
||||
+ = vec_addec_u128 (sum0.sw, overlap_addend0.sw, carry_vec1.sw);
|
||||
+#else
|
||||
+ sum1.sw = vec_adde_u128 (product0.sw, overlap_addend0.sw, carry_vec0.sw);
|
||||
+ carry_vec0.sw
|
||||
+ = vec_addec_u128 (product0.sw, overlap_addend0.sw, carry_vec0.sw);
|
||||
+#endif
|
||||
+
|
||||
+ asm volatile("");
|
||||
+ product2.dw = vec_load_2di_as_pair (p2_high, p2_low);
|
||||
+ overlap_addend1.dw = vec_load_2di_as_pair (p3_low, p1_high);
|
||||
+
|
||||
+ vec_t sum4;
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ vec_t sum3;
|
||||
+ sum3.sw = vec_adde_u128 (product2.sw, rp1_addend.sw, carry_vec0.sw);
|
||||
+ sum4.sw = vec_adde_u128 (sum3.sw, overlap_addend1.sw, carry_vec1.sw);
|
||||
+
|
||||
+ carry_vec0.sw
|
||||
+ = vec_addec_u128 (product2.sw, rp1_addend.sw, carry_vec0.sw);
|
||||
+ carry_vec1.sw
|
||||
+ = vec_addec_u128 (sum3.sw, overlap_addend1.sw, carry_vec1.sw);
|
||||
+#else
|
||||
+ sum4.sw = vec_adde_u128 (product2.sw, overlap_addend1.sw, carry_vec0.sw);
|
||||
+ carry_vec0.sw
|
||||
+ = vec_addec_u128 (product2.sw, overlap_addend1.sw, carry_vec0.sw);
|
||||
+#endif
|
||||
+ vec_store_elements_reversed_idx (rp, idx, IDX_OFFSET - LOOP_ADVANCE,
|
||||
+ sum1);
|
||||
+ vec_store_elements_reversed_idx (rp, idx, 16 + IDX_OFFSET - LOOP_ADVANCE,
|
||||
+ sum4);
|
||||
+
|
||||
+ carry_limb = p3_high;
|
||||
+ }
|
||||
+
|
||||
+#ifdef ADD
|
||||
+ carry_vec0.dw += carry_vec1.dw;
|
||||
+ carry_limb += carry_vec0.dw[1];
|
||||
+#else
|
||||
+ carry_limb += carry_vec0.dw[1];
|
||||
+#endif
|
||||
+
|
||||
+ return carry_limb;
|
||||
+}
|
||||
+
|
||||
+#undef OPERATION_addmul_1
|
||||
+#undef OPERATION_mul_1
|
||||
+#undef FUNCNAME
|
||||
+#undef ADD
|
||||
diff --git a/mpn/s390_64/z13/common-vec.h b/mpn/s390_64/z13/common-vec.h
|
||||
new file mode 100644
|
||||
index 000000000..a59e6eefe
|
||||
--- /dev/null
|
||||
+++ b/mpn/s390_64/z13/common-vec.h
|
||||
@@ -0,0 +1,175 @@
|
||||
+/* Common vector helpers and macros for IBM z13 and 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/. */
|
||||
+
|
||||
+#ifndef __S390_64_Z13_COMMON_VEC_H
|
||||
+#define __S390_64_Z13_COMMON_VEC_H
|
||||
+
|
||||
+#include <unistd.h>
|
||||
+#include <vecintrin.h>
|
||||
+
|
||||
+/*
|
||||
+ * Vector intrinsics use vector element types that kind-of make sense for the
|
||||
+ * specific operation (e.g., vec_permi permutes doublewords). To use VRs
|
||||
+ * interchangeably with different intrinsics, typedef the two variants and wrap
|
||||
+ * them in a union.
|
||||
+ */
|
||||
+#define VLEN_BYTES 16
|
||||
+typedef unsigned long long v2di __attribute__ ((vector_size (VLEN_BYTES)));
|
||||
+typedef unsigned char v16qi __attribute__ ((vector_size (VLEN_BYTES)));
|
||||
+
|
||||
+/*
|
||||
+ * The Z vector intrinsics use vectors with different element types (e.g.,
|
||||
+ * v16qi for the 128-bit adds and v2di for vec_permi).
|
||||
+ */
|
||||
+union vec
|
||||
+{
|
||||
+ v2di dw;
|
||||
+ v16qi sw;
|
||||
+};
|
||||
+
|
||||
+typedef union vec vec_t;
|
||||
+
|
||||
+/*
|
||||
+ * single-instruction combine of two GPRs into a VR
|
||||
+ */
|
||||
+static inline v2di
|
||||
+vec_load_2di_as_pair (unsigned long a, unsigned long b)
|
||||
+{
|
||||
+ v2di res;
|
||||
+ __asm__("vlvgp\t%0,%1,%2" : "=v"(res) : "r"(a), "r"(b));
|
||||
+ return res;
|
||||
+}
|
||||
+
|
||||
+/*
|
||||
+ * 64x64 mult where caller needs to care about proper register allocation:
|
||||
+ * multiply xl with m1, treating both as unsigned, and place the result in
|
||||
+ * xh:xl.
|
||||
+ * mlgr operates on register pairs, so xh must be an even gpr followed by xl
|
||||
+ */
|
||||
+#define s390_umul_ppmm(xh, xl, m1) \
|
||||
+ do \
|
||||
+ { \
|
||||
+ asm("mlgr\t%0,%3" : "=r"(xh), "=r"(xl) : "%1"(xl), "r"(m1)); \
|
||||
+ } \
|
||||
+ while (0);
|
||||
+
|
||||
+/*
|
||||
+ * two 64x64 multiplications, scheduled so that they will dispatch and issue to
|
||||
+ * different sides: each mlgr is dispatched alone in an instruction group and
|
||||
+ * subsequent groups will issue on different execution sides.
|
||||
+ * there is a variant where both products use the same multiplicand and one
|
||||
+ * that uses two different multiplicands. constraints from s390_umul_ppmm apply
|
||||
+ * here.
|
||||
+ */
|
||||
+#define s390_double_umul_ppmm(X0H, X0L, X1H, X1L, MX) \
|
||||
+ do \
|
||||
+ { \
|
||||
+ asm("mlgr\t%[x0h],%[mx]\n\t" \
|
||||
+ "mlgr\t%[x1h],%[mx]" \
|
||||
+ : [x0h] "=&r"(X0H), [x0l] "=&r"(X0L), [x1h] "=r"(X1H), \
|
||||
+ [x1l] "=r"(X1L) \
|
||||
+ : "[x0l]"(X0L), "[x1l]"(X1L), [mx] "r"(MX)); \
|
||||
+ } \
|
||||
+ while (0);
|
||||
+
|
||||
+#define s390_double_umul_ppmm_distinct(X0H, X0L, X1H, X1L, MX0, MX1) \
|
||||
+ do \
|
||||
+ { \
|
||||
+ asm("mlgr\t%[x0h],%[mx0]\n\t" \
|
||||
+ "mlgr\t%[x1h],%[mx1]" \
|
||||
+ : [x0h] "=&r"(X0H), [x0l] "=&r"(X0L), [x1h] "=r"(X1H), \
|
||||
+ [x1l] "=r"(X1L) \
|
||||
+ : "[x0l]"(X0L), "[x1l]"(X1L), [mx0] "r"(MX0), [mx1] "r"(MX1)); \
|
||||
+ } \
|
||||
+ while (0);
|
||||
+
|
||||
+#define ASM_LOADGPR_BASE(DST, BASE, OFFSET) \
|
||||
+ asm volatile("lg\t%[r],%[off](%[b])" \
|
||||
+ : [r] "=r"(DST) \
|
||||
+ : [b] "a"(BASE), [off] "L"(OFFSET) \
|
||||
+ : "memory");
|
||||
+
|
||||
+#define ASM_LOADGPR(DST, BASE, INDEX, OFFSET) \
|
||||
+ asm volatile("lg\t%[r],%[off](%[b],%[x])" \
|
||||
+ : [r] "=r"(DST) \
|
||||
+ : [b] "a"(BASE), [x] "a"(INDEX), [off] "L"(OFFSET) \
|
||||
+ : "memory");
|
||||
+
|
||||
+/*
|
||||
+ * Load a vector register from memory and swap the two 64-bit doubleword
|
||||
+ * elements.
|
||||
+ */
|
||||
+static inline vec_t
|
||||
+vec_load_elements_reversed_idx (mp_limb_t const *base, ssize_t const index,
|
||||
+ ssize_t const offset)
|
||||
+{
|
||||
+ vec_t res;
|
||||
+ char *ptr = (char *)base;
|
||||
+
|
||||
+ res.sw = *(v16qi *)(ptr + index + offset);
|
||||
+ res.dw = vec_permi (res.dw, res.dw, 2);
|
||||
+
|
||||
+ return res;
|
||||
+}
|
||||
+
|
||||
+static inline vec_t
|
||||
+vec_load_elements_reversed (mp_limb_t const *base, ssize_t const offset)
|
||||
+{
|
||||
+ return vec_load_elements_reversed_idx (base, 0, offset);
|
||||
+}
|
||||
+
|
||||
+/*
|
||||
+ * Store a vector register to memory and swap the two 64-bit doubleword
|
||||
+ * elements.
|
||||
+ */
|
||||
+static inline void
|
||||
+vec_store_elements_reversed_idx (mp_limb_t *base, ssize_t const index,
|
||||
+ ssize_t const offset, vec_t vec)
|
||||
+{
|
||||
+ char *ptr = (char *)base;
|
||||
+
|
||||
+ vec.dw = vec_permi (vec.dw, vec.dw, 2);
|
||||
+ *(v16qi *)(ptr + index + offset) = vec.sw;
|
||||
+}
|
||||
+
|
||||
+static inline void
|
||||
+vec_store_elements_reversed (mp_limb_t *base, ssize_t const offset, vec_t vec)
|
||||
+{
|
||||
+ vec_store_elements_reversed_idx (base, 0, offset, vec);
|
||||
+}
|
||||
+
|
||||
+#define ASM_VZERO(VEC) \
|
||||
+ do \
|
||||
+ { \
|
||||
+ asm("vzero\t%[vec]" : [vec] "=v"(VEC)); \
|
||||
+ } \
|
||||
+ while (0)
|
||||
+
|
||||
+#endif
|
||||
diff --git a/mpn/s390_64/z13/mul_1.c b/mpn/s390_64/z13/mul_1.c
|
||||
new file mode 100644
|
||||
index 000000000..7584dc8c7
|
||||
--- /dev/null
|
||||
+++ b/mpn/s390_64/z13/mul_1.c
|
||||
@@ -0,0 +1,31 @@
|
||||
+/* mul_1 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 "s390_64/z13/addmul_1.c"
|
||||
--
|
||||
2.40.1
|
||||
|
||||
@ -1,535 +0,0 @@
|
||||
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
|
||||
@ -1,138 +0,0 @@
|
||||
Co-authored-by: Stefan Liebler <stli at linux.ibm.com>
|
||||
---
|
||||
mpn/s390_64/z13/mul_basecase.c | 124 +++++++++++++++++++++++++++++++++
|
||||
1 file changed, 124 insertions(+)
|
||||
create mode 100644 mpn/s390_64/z13/mul_basecase.c
|
||||
|
||||
diff --git a/mpn/s390_64/z13/mul_basecase.c b/mpn/s390_64/z13/mul_basecase.c
|
||||
new file mode 100644
|
||||
index 000000000..f1b7160b3
|
||||
--- /dev/null
|
||||
+++ b/mpn/s390_64/z13/mul_basecase.c
|
||||
@@ -0,0 +1,124 @@
|
||||
+/* mpn_mul_basecase for IBM z13 and later -- Internal routine to multiply two
|
||||
+ natural numbers of length m and n.
|
||||
+
|
||||
+ THIS IS AN INTERNAL FUNCTION WITH A MUTABLE INTERFACE. IT IS ONLY
|
||||
+ SAFE TO REACH THIS FUNCTION THROUGH DOCUMENTED INTERFACES.
|
||||
+
|
||||
+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 <stdlib.h>
|
||||
+
|
||||
+#include "gmp-impl.h"
|
||||
+
|
||||
+/* Note: we explicitly inline all mul and addmul routines here to reduce the
|
||||
+ * number of branches in prologues of unrolled functions. That comes at the
|
||||
+ cost of duplicating common loop bodies in object code. */
|
||||
+#define DO_INLINE
|
||||
+
|
||||
+/*
|
||||
+ * tweak loop conditions in addmul subroutines to enable use of
|
||||
+ * branch-relative-on-count (BRCTG) instructions, which currently results in
|
||||
+ * better performance.
|
||||
+ */
|
||||
+#define BRCTG
|
||||
+
|
||||
+#include "s390_64/z13/common-vec.h"
|
||||
+
|
||||
+#define OPERATION_mul_1
|
||||
+#include "s390_64/z13/addmul_1.c"
|
||||
+#undef OPERATION_mul_1
|
||||
+
|
||||
+#define OPERATION_addmul_1
|
||||
+#include "s390_64/z13/addmul_1.c"
|
||||
+#undef OPERATION_addmul_1
|
||||
+
|
||||
+#define OPERATION_mul_2
|
||||
+#include "s390_64/z13/aormul_2.c"
|
||||
+#undef OPERATION_mul_2
|
||||
+
|
||||
+#define OPERATION_addmul_2
|
||||
+#include "s390_64/z13/aormul_2.c"
|
||||
+#undef OPERATION_addmul_2
|
||||
+
|
||||
+void
|
||||
+mpn_mul_basecase (mp_ptr rp, mp_srcptr up, mp_size_t un, mp_srcptr vp,
|
||||
+ mp_size_t vn)
|
||||
+{
|
||||
+ ASSERT (un >= vn);
|
||||
+ ASSERT (vn >= 1);
|
||||
+ ASSERT (!MPN_OVERLAP_P (rp, un + vn, up, un));
|
||||
+ ASSERT (!MPN_OVERLAP_P (rp, un + vn, vp, vn));
|
||||
+
|
||||
+ /* The implementations of (add)mul_1/2 are 4x-unrolled. Pull out the branch
|
||||
+ * for un%4 and inline specific variants. */
|
||||
+
|
||||
+#define BRANCH_FOR_MOD(N) \
|
||||
+ do \
|
||||
+ { \
|
||||
+ if (vn >= 2) \
|
||||
+ { \
|
||||
+ rp[un + 1] = inline_mul_2 (rp, up, un, vp); \
|
||||
+ rp += 2, vp += 2, vn -= 2; \
|
||||
+ } \
|
||||
+ else \
|
||||
+ { \
|
||||
+ rp[un] = inline_mul_1 (rp, up, un, vp[0]); \
|
||||
+ return; \
|
||||
+ } \
|
||||
+ \
|
||||
+ while (vn >= 2) \
|
||||
+ { \
|
||||
+ rp[un + 2 - 1] = inline_addmul_2 (rp, up, un, vp); \
|
||||
+ rp += 2, vp += 2, vn -= 2; \
|
||||
+ } \
|
||||
+ \
|
||||
+ while (vn >= 1) \
|
||||
+ { \
|
||||
+ rp[un] = inline_addmul_1 (rp, up, un, vp[0]); \
|
||||
+ rp += 1, vp += 1, vn -= 1; \
|
||||
+ } \
|
||||
+ } \
|
||||
+ while (0);
|
||||
+
|
||||
+ switch (((size_t)un) % 4)
|
||||
+ {
|
||||
+ case 0:
|
||||
+ BRANCH_FOR_MOD (0);
|
||||
+ break;
|
||||
+ case 1:
|
||||
+ BRANCH_FOR_MOD (1);
|
||||
+ break;
|
||||
+ case 2:
|
||||
+ BRANCH_FOR_MOD (2);
|
||||
+ break;
|
||||
+ case 3:
|
||||
+ BRANCH_FOR_MOD (3);
|
||||
+ break;
|
||||
+ }
|
||||
+}
|
||||
--
|
||||
2.40.1
|
||||
@ -1,151 +0,0 @@
|
||||
From: Marius Hillenbrand <mhillen at linux.ibm.com>
|
||||
|
||||
---
|
||||
mpn/s390_64/z13/gmp-mparam.h | 129 ++++++++++++++++++++++++++++++++++-
|
||||
1 file changed, 127 insertions(+), 2 deletions(-)
|
||||
|
||||
diff --git a/mpn/s390_64/z13/gmp-mparam.h b/mpn/s390_64/z13/gmp-mparam.h
|
||||
index a17503fd0..50e7f39d1 100644
|
||||
--- a/mpn/s390_64/z13/gmp-mparam.h
|
||||
+++ b/mpn/s390_64/z13/gmp-mparam.h
|
||||
@@ -1,6 +1,6 @@
|
||||
/* S/390-64 for IBM z13 gmp-mparam.h -- Compiler/machine parameter header file.
|
||||
|
||||
-Copyright 1991, 1993, 1994, 2000-2011 Free Software Foundation, Inc.
|
||||
+Copyright 2021 Free Software Foundation, Inc.
|
||||
|
||||
This file is part of the GNU MP Library.
|
||||
|
||||
@@ -34,4 +34,129 @@ see https://www.gnu.org/licenses/. */
|
||||
#define HAVE_NATIVE_mpn_addmul_2 1
|
||||
#define HAVE_NATIVE_mpn_mul_2 1
|
||||
|
||||
-#include "mpn/s390_64/gmp-mparam.h"
|
||||
+/* Generated by tuneup.c, 2021-07-30, gcc 10.2 */
|
||||
+
|
||||
+#define DIVREM_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
|
||||
+#define DIVREM_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
|
||||
+#define MOD_1_1P_METHOD 2
|
||||
+#define MOD_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
|
||||
+#define MOD_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
|
||||
+#define MOD_1N_TO_MOD_1_1_THRESHOLD 17
|
||||
+#define MOD_1U_TO_MOD_1_1_THRESHOLD 15
|
||||
+#define MOD_1_1_TO_MOD_1_2_THRESHOLD 0 /* never mpn_mod_1_1p */
|
||||
+#define MOD_1_2_TO_MOD_1_4_THRESHOLD 0 /* never mpn_mod_1s_2p */
|
||||
+#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 5
|
||||
+#define USE_PREINV_DIVREM_1 1
|
||||
+#define DIV_QR_1N_PI1_METHOD 3
|
||||
+#define DIV_QR_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
|
||||
+#define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
|
||||
+#define DIV_QR_2_PI2_THRESHOLD 996
|
||||
+#define DIVEXACT_1_THRESHOLD 4
|
||||
+#define BMOD_1_TO_MOD_1_THRESHOLD 0 /* always */
|
||||
+
|
||||
+#define DIV_1_VS_MUL_1_PERCENT 404
|
||||
+
|
||||
+#define MUL_TOOM22_THRESHOLD 23
|
||||
+#define MUL_TOOM33_THRESHOLD 94
|
||||
+#define MUL_TOOM44_THRESHOLD 166
|
||||
+#define MUL_TOOM6H_THRESHOLD 286
|
||||
+#define MUL_TOOM8H_THRESHOLD 626
|
||||
+
|
||||
+#define MUL_TOOM32_TO_TOOM43_THRESHOLD 113
|
||||
+#define MUL_TOOM32_TO_TOOM53_THRESHOLD 138
|
||||
+#define MUL_TOOM42_TO_TOOM53_THRESHOLD 143
|
||||
+#define MUL_TOOM42_TO_TOOM63_THRESHOLD 145
|
||||
+#define MUL_TOOM43_TO_TOOM54_THRESHOLD 130
|
||||
+
|
||||
+#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
|
||||
+#define SQR_TOOM2_THRESHOLD 12
|
||||
+#define SQR_TOOM3_THRESHOLD 84
|
||||
+#define SQR_TOOM4_THRESHOLD 234
|
||||
+#define SQR_TOOM6_THRESHOLD 318
|
||||
+#define SQR_TOOM8_THRESHOLD 478
|
||||
+
|
||||
+#define MULMID_TOOM42_THRESHOLD 42
|
||||
+
|
||||
+#define MULMOD_BNM1_THRESHOLD 13
|
||||
+#define SQRMOD_BNM1_THRESHOLD 7
|
||||
+
|
||||
+#define MUL_FFT_MODF_THRESHOLD 332 /* k = 5 */
|
||||
+#define MUL_FFT_TABLE3 \
|
||||
+ { { 332, 5}, { 19, 6}, { 10, 5}, { 21, 6}, \
|
||||
+ { 21, 7}, { 21, 8}, { 11, 7}, { 24, 8}, \
|
||||
+ { 13, 7}, { 27, 8}, { 15, 7}, { 31, 8}, \
|
||||
+ { 17, 7}, { 35, 8}, { 19, 7}, { 39, 8}, \
|
||||
+ { 21, 9}, { 11, 8}, { 27, 9}, { 15, 8}, \
|
||||
+ { 35, 9}, { 19, 8}, { 41, 9}, { 23, 8}, \
|
||||
+ { 47, 9}, { 27,10}, { 15, 9}, { 39,10}, \
|
||||
+ { 23, 9}, { 47,11}, { 15,10}, { 31, 9}, \
|
||||
+ { 67,10}, { 47,11}, { 2048,12}, { 4096,13}, \
|
||||
+ { 8192,14}, { 16384,15}, { 32768,16}, { 65536,17}, \
|
||||
+ { 131072,18}, { 262144,19}, { 524288,20}, {1048576,21}, \
|
||||
+ {2097152,22}, {4194304,23}, {8388608,24} }
|
||||
+#define MUL_FFT_TABLE3_SIZE 47
|
||||
+#define MUL_FFT_THRESHOLD 2752
|
||||
+
|
||||
+#define SQR_FFT_MODF_THRESHOLD 240 /* k = 5 */
|
||||
+#define SQR_FFT_TABLE3 \
|
||||
+ { { 240, 5}, { 8, 4}, { 17, 5}, { 13, 6}, \
|
||||
+ { 7, 5}, { 15, 6}, { 8, 5}, { 17, 6}, \
|
||||
+ { 9, 5}, { 19, 6}, { 15, 7}, { 8, 6}, \
|
||||
+ { 17, 7}, { 9, 6}, { 19, 7}, { 10, 6}, \
|
||||
+ { 21, 7}, { 17, 8}, { 9, 7}, { 20, 8}, \
|
||||
+ { 11, 7}, { 23, 8}, { 13, 9}, { 7, 8}, \
|
||||
+ { 21, 9}, { 11, 8}, { 23, 9}, { 15, 8}, \
|
||||
+ { 31, 9}, { 19, 8}, { 39, 9}, { 23,10}, \
|
||||
+ { 15, 9}, { 39,10}, { 23,11}, { 15,10}, \
|
||||
+ { 31, 9}, { 63,10}, { 47,11}, { 2048,12}, \
|
||||
+ { 4096,13}, { 8192,14}, { 16384,15}, { 32768,16}, \
|
||||
+ { 65536,17}, { 131072,18}, { 262144,19}, { 524288,20}, \
|
||||
+ {1048576,21}, {2097152,22}, {4194304,23}, {8388608,24} }
|
||||
+#define SQR_FFT_TABLE3_SIZE 52
|
||||
+#define SQR_FFT_THRESHOLD 1856
|
||||
+
|
||||
+#define MULLO_BASECASE_THRESHOLD 0 /* always */
|
||||
+#define MULLO_DC_THRESHOLD 25
|
||||
+#define MULLO_MUL_N_THRESHOLD 5397
|
||||
+#define SQRLO_BASECASE_THRESHOLD 0 /* always */
|
||||
+#define SQRLO_DC_THRESHOLD 396
|
||||
+#define SQRLO_SQR_THRESHOLD 3704
|
||||
+
|
||||
+#define DC_DIV_QR_THRESHOLD 15
|
||||
+#define DC_DIVAPPR_Q_THRESHOLD 50
|
||||
+#define DC_BDIV_QR_THRESHOLD 66
|
||||
+#define DC_BDIV_Q_THRESHOLD 202
|
||||
+
|
||||
+#define INV_MULMOD_BNM1_THRESHOLD 46
|
||||
+#define INV_NEWTON_THRESHOLD 29
|
||||
+#define INV_APPR_THRESHOLD 13
|
||||
+
|
||||
+#define BINV_NEWTON_THRESHOLD 312
|
||||
+#define REDC_1_TO_REDC_2_THRESHOLD 79
|
||||
+#define REDC_2_TO_REDC_N_THRESHOLD 0 /* always */
|
||||
+
|
||||
+#define MU_DIV_QR_THRESHOLD 979
|
||||
+#define MU_DIVAPPR_Q_THRESHOLD 979
|
||||
+#define MUPI_DIV_QR_THRESHOLD 13
|
||||
+#define MU_BDIV_QR_THRESHOLD 942
|
||||
+#define MU_BDIV_Q_THRESHOLD 1367
|
||||
+
|
||||
+#define POWM_SEC_TABLE 3,19,215,1730
|
||||
+
|
||||
+#define GET_STR_DC_THRESHOLD 10
|
||||
+#define GET_STR_PRECOMPUTE_THRESHOLD 15
|
||||
+#define SET_STR_DC_THRESHOLD 882
|
||||
+#define SET_STR_PRECOMPUTE_THRESHOLD 2520
|
||||
+
|
||||
+#define FAC_DSC_THRESHOLD 228
|
||||
+#define FAC_ODD_THRESHOLD 24
|
||||
+
|
||||
+#define MATRIX22_STRASSEN_THRESHOLD 19
|
||||
+#define HGCD2_DIV1_METHOD 1
|
||||
+#define HGCD_THRESHOLD 61
|
||||
+#define HGCD_APPR_THRESHOLD 51
|
||||
+#define HGCD_REDUCE_THRESHOLD 1962
|
||||
+#define GCD_DC_THRESHOLD 217
|
||||
+#define GCDEXT_DC_THRESHOLD 263
|
||||
+#define JACOBI_BASE_METHOD 4
|
||||
+
|
||||
--
|
||||
2.40.1
|
||||
Loading…
Reference in new issue