dnl X86-64 mpn_mul_basecase optimised for Intel Nehalem/Westmere. dnl It also seems good for Conroe/Wolfdale. dnl Contributed to the GNU project by Torbjörn Granlund. dnl Copyright 2008, 2011-2013 Free Software Foundation, Inc. dnl This file is part of the GNU MP Library. dnl dnl The GNU MP Library is free software; you can redistribute it and/or modify dnl it under the terms of either: dnl dnl * the GNU Lesser General Public License as published by the Free dnl Software Foundation; either version 3 of the License, or (at your dnl option) any later version. dnl dnl or dnl dnl * the GNU General Public License as published by the Free Software dnl Foundation; either version 2 of the License, or (at your option) any dnl later version. dnl dnl or both in parallel, as here. dnl dnl The GNU MP Library is distributed in the hope that it will be useful, but dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License dnl for more details. dnl dnl You should have received copies of the GNU General Public License and the dnl GNU Lesser General Public License along with the GNU MP Library. If not, dnl see https://www.gnu.org/licenses/. include(`../config.m4') C cycles/limb mul_1 mul_2 mul_3 addmul_2 C AMD K8,K9 C AMD K10 C AMD bull C AMD pile C AMD steam C AMD bobcat C AMD jaguar C Intel P4 C Intel core 4.0 4.0 - 4.18-4.25 C Intel NHM 3.75 3.8 - 4.06-4.2 C Intel SBR C Intel IBR C Intel HWL C Intel BWL C Intel atom C VIA nano C The inner loops of this code are the result of running a code generation and C optimisation tool suite written by David Harvey and Torbjörn Granlund. C Code structure: C C C m_1(0m4) m_1(1m4) m_1(2m4) m_1(3m4) C | | | | C m_2(0m4) | m_2(1m4) | m_2(2m4) | m_2(3m4) | C | / | / | / | / C | / | / | / | / C | / | / | / | / C \|/ |/_ \|/ |/_ \|/ |/_ \|/ |/_ C _____ _____ _____ _____ C / \ / \ / \ / \ C \|/ | \|/ | \|/ | \|/ | C am_2(0m4) | am_2(1m4) | am_2(2m4) | am_2(3m4) | C \ /|\ \ /|\ \ /|\ \ /|\ C \_____/ \_____/ \_____/ \_____/ C TODO C * Tune. None done so far. C * Currently 2687 bytes, making it smaller would be nice. C * Implement some basecases, say for un < 4. C * Try zeroing with xor in m2 loops. C * Try re-rolling the m2 loops to avoid the current 9 insn code duplication C between loop header and wind-down code. C * Consider adc reg,reg instead of adc $0,reg in m2 loops. This save a byte. C When playing with pointers, set this to $2 to fall back to conservative C indexing in wind-down code. define(`I',`$1') C Define this to $1 to use late loop index variable as zero, $2 to use an C explicit $0. define(`Z',`$1') define(`rp', `%rdi') define(`up', `%rsi') define(`un_param', `%rdx') define(`vp_param', `%rcx') C FIXME reallocate vp to rcx but watch performance! define(`vn_param', `%r8') define(`un', `%r9') define(`vn', `(%rsp)') define(`v0', `%r10') define(`v1', `%r11') define(`w0', `%rbx') define(`w1', `%rcx') define(`w2', `%rbp') define(`w3', `%r12') define(`i', `%r13') define(`vp', `%r14') define(`X0', `%r8') define(`X1', `%r15') C rax rbx rcx rdx rdi rsi rbp r8 r9 r10 r11 r12 r13 r14 r15 ABI_SUPPORT(DOS64) ABI_SUPPORT(STD64) define(`ALIGNx', `ALIGN(16)') define(`N', 85) ifdef(`N',,`define(`N',0)') define(`MOV', `ifelse(eval(N & $3),0,`mov $1, $2',`lea ($1), $2')') ASM_START() TEXT ALIGN(32) PROLOGUE(mpn_mul_basecase) FUNC_ENTRY(4) IFDOS(` mov 56(%rsp), %r8d ') mov (up), %rax C shared for mul_1 and mul_2 push %rbx push %rbp push %r12 push %r13 push %r14 mov (vp_param), v0 C shared for mul_1 and mul_2 xor un, un sub un_param, un C un = -un_param lea (up,un_param,8), up lea (rp,un_param,8), rp mul v0 C shared for mul_1 and mul_2 test $1, R8(vn_param) jz L(m2) lea 8(vp_param), vp C FIXME: delay until known needed test $1, R8(un) jnz L(m1x1) L(m1x0):test $2, R8(un) jnz L(m1s2) L(m1s0): lea (un), i mov %rax, (rp,un,8) mov 8(up,un,8), %rax mov %rdx, w0 C FIXME: Use lea? lea L(do_am0)(%rip), %rbp jmp L(m1e0) L(m1s2): lea 2(un), i mov %rax, (rp,un,8) mov 8(up,un,8), %rax mov %rdx, w0 C FIXME: Use lea? mul v0 lea L(do_am2)(%rip), %rbp test i, i jnz L(m1e2) add %rax, w0 adc $0, %rdx mov w0, I(-8(rp),8(rp,un,8)) mov %rdx, I((rp),16(rp,un,8)) jmp L(ret2) L(m1x1):test $2, R8(un) jz L(m1s3) L(m1s1): lea 1(un), i mov %rax, (rp,un,8) test i, i jz L(1) mov 8(up,un,8), %rax mov %rdx, w1 C FIXME: Use lea? lea L(do_am1)(%rip), %rbp jmp L(m1e1) L(1): mov %rdx, I((rp),8(rp,un,8)) jmp L(ret2) L(m1s3): lea -1(un), i mov %rax, (rp,un,8) mov 8(up,un,8), %rax mov %rdx, w1 C FIXME: Use lea? lea L(do_am3)(%rip), %rbp jmp L(m1e3) ALIGNx L(m1top): mul v0 mov w1, -16(rp,i,8) L(m1e2):xor R32(w1), R32(w1) add %rax, w0 mov (up,i,8), %rax adc %rdx, w1 mov w0, -8(rp,i,8) L(m1e1):xor R32(w0), R32(w0) mul v0 add %rax, w1 mov 8(up,i,8), %rax adc %rdx, w0 mov w1, (rp,i,8) L(m1e0):xor R32(w1), R32(w1) mul v0 add %rax, w0 mov 16(up,i,8), %rax adc %rdx, w1 mov w0, 8(rp,i,8) L(m1e3):xor R32(w0), R32(w0) mul v0 add %rax, w1 mov 24(up,i,8), %rax adc %rdx, w0 add $4, i js L(m1top) mul v0 mov w1, I(-16(rp),-16(rp,i,8)) add %rax, w0 adc $0, %rdx mov w0, I(-8(rp),-8(rp,i,8)) mov %rdx, I((rp),(rp,i,8)) dec vn_param jz L(ret2) lea -8(rp), rp jmp *%rbp L(m2): mov 8(vp_param), v1 lea 16(vp_param), vp C FIXME: delay until known needed test $1, R8(un) jnz L(bx1) L(bx0): test $2, R8(un) jnz L(b10) L(b00): lea (un), i mov %rax, (rp,un,8) mov %rdx, w1 C FIXME: Use lea? mov (up,un,8), %rax mov $0, R32(w2) jmp L(m2e0) L(b10): lea -2(un), i mov %rax, w2 C FIXME: Use lea? mov (up,un,8), %rax mov %rdx, w3 C FIXME: Use lea? mov $0, R32(w0) jmp L(m2e2) L(bx1): test $2, R8(un) jz L(b11) L(b01): lea 1(un), i mov %rax, (rp,un,8) mov (up,un,8), %rax mov %rdx, w0 C FIXME: Use lea? mov $0, R32(w1) jmp L(m2e1) L(b11): lea -1(un), i mov %rax, w1 C FIXME: Use lea? mov (up,un,8), %rax mov %rdx, w2 C FIXME: Use lea? mov $0, R32(w3) jmp L(m2e3) ALIGNx L(m2top0): mul v0 add %rax, w3 mov -8(up,i,8), %rax mov w3, -8(rp,i,8) adc %rdx, w0 adc $0, R32(w1) mul v1 add %rax, w0 adc %rdx, w1 mov $0, R32(w2) mov (up,i,8), %rax mul v0 add %rax, w0 mov w0, (rp,i,8) adc %rdx, w1 mov (up,i,8), %rax adc $0, R32(w2) L(m2e0):mul v1 add %rax, w1 adc %rdx, w2 mov 8(up,i,8), %rax mul v0 mov $0, R32(w3) add %rax, w1 adc %rdx, w2 adc $0, R32(w3) mov 8(up,i,8), %rax mul v1 add %rax, w2 mov w1, 8(rp,i,8) adc %rdx, w3 mov $0, R32(w0) mov 16(up,i,8), %rax mul v0 add %rax, w2 mov 16(up,i,8), %rax adc %rdx, w3 adc $0, R32(w0) mul v1 mov $0, R32(w1) add %rax, w3 mov 24(up,i,8), %rax mov w2, 16(rp,i,8) adc %rdx, w0 add $4, i js L(m2top0) mul v0 add %rax, w3 mov I(-8(up),-8(up,i,8)), %rax mov w3, I(-8(rp),-8(rp,i,8)) adc %rdx, w0 adc R32(w1), R32(w1) mul v1 add %rax, w0 adc %rdx, w1 mov w0, I((rp),(rp,i,8)) mov w1, I(8(rp),8(rp,i,8)) add $-2, vn_param jz L(ret2) L(do_am0): push %r15 push vn_param L(olo0): mov (vp), v0 mov 8(vp), v1 lea 16(vp), vp lea 16(rp), rp mov (up,un,8), %rax C lea 0(un), i mov un, i mul v0 mov %rax, X0 mov (up,un,8), %rax MOV( %rdx, X1, 2) mul v1 MOV( %rdx, w0, 4) mov (rp,un,8), w2 mov %rax, w3 jmp L(lo0) ALIGNx L(am2top0): mul v1 add w0, w1 adc %rax, w2 mov (up,i,8), %rax MOV( %rdx, w3, 1) adc $0, w3 mul v0 add w1, X1 mov X1, -8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 2) adc $0, X1 mov (up,i,8), %rax mul v1 MOV( %rdx, w0, 4) mov (rp,i,8), w1 add w1, w2 adc %rax, w3 adc $0, w0 L(lo0): mov 8(up,i,8), %rax mul v0 add w2, X0 adc %rax, X1 mov X0, (rp,i,8) MOV( %rdx, X0, 8) adc $0, X0 mov 8(up,i,8), %rax mov 8(rp,i,8), w2 mul v1 add w2, w3 adc %rax, w0 MOV( %rdx, w1, 16) adc $0, w1 mov 16(up,i,8), %rax mul v0 add w3, X1 mov X1, 8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 32) mov 16(rp,i,8), w3 adc $0, X1 mov 16(up,i,8), %rax mul v1 add w3, w0 MOV( %rdx, w2, 64) adc %rax, w1 mov 24(up,i,8), %rax adc $0, w2 mul v0 add w0, X0 mov X0, 16(rp,i,8) MOV( %rdx, X0, 128) adc %rax, X1 mov 24(up,i,8), %rax mov 24(rp,i,8), w0 adc $0, X0 add $4, i jnc L(am2top0) mul v1 add w0, w1 adc %rax, w2 adc Z(i,$0), %rdx add w1, X1 adc Z(i,$0), X0 mov X1, I(-8(rp),-8(rp,i,8)) add w2, X0 mov X0, I((rp),(rp,i,8)) adc Z(i,$0), %rdx mov %rdx, I(8(rp),8(rp,i,8)) addl $-2, vn jnz L(olo0) L(ret): pop %rax pop %r15 L(ret2):pop %r14 pop %r13 pop %r12 pop %rbp pop %rbx FUNC_EXIT() ret ALIGNx L(m2top1): mul v0 add %rax, w3 mov -8(up,i,8), %rax mov w3, -8(rp,i,8) adc %rdx, w0 adc $0, R32(w1) L(m2e1):mul v1 add %rax, w0 adc %rdx, w1 mov $0, R32(w2) mov (up,i,8), %rax mul v0 add %rax, w0 mov w0, (rp,i,8) adc %rdx, w1 mov (up,i,8), %rax adc $0, R32(w2) mul v1 add %rax, w1 adc %rdx, w2 mov 8(up,i,8), %rax mul v0 mov $0, R32(w3) add %rax, w1 adc %rdx, w2 adc $0, R32(w3) mov 8(up,i,8), %rax mul v1 add %rax, w2 mov w1, 8(rp,i,8) adc %rdx, w3 mov $0, R32(w0) mov 16(up,i,8), %rax mul v0 add %rax, w2 mov 16(up,i,8), %rax adc %rdx, w3 adc $0, R32(w0) mul v1 mov $0, R32(w1) add %rax, w3 mov 24(up,i,8), %rax mov w2, 16(rp,i,8) adc %rdx, w0 add $4, i js L(m2top1) mul v0 add %rax, w3 mov I(-8(up),-8(up,i,8)), %rax mov w3, I(-8(rp),-8(rp,i,8)) adc %rdx, w0 adc R32(w1), R32(w1) mul v1 add %rax, w0 adc %rdx, w1 mov w0, I((rp),(rp,i,8)) mov w1, I(8(rp),8(rp,i,8)) add $-2, vn_param jz L(ret2) L(do_am1): push %r15 push vn_param L(olo1): mov (vp), v0 mov 8(vp), v1 lea 16(vp), vp lea 16(rp), rp mov (up,un,8), %rax lea 1(un), i mul v0 mov %rax, X1 MOV( %rdx, X0, 128) mov (up,un,8), %rax mov (rp,un,8), w1 mul v1 mov %rax, w2 mov 8(up,un,8), %rax MOV( %rdx, w3, 1) jmp L(lo1) ALIGNx L(am2top1): mul v1 add w0, w1 adc %rax, w2 mov (up,i,8), %rax MOV( %rdx, w3, 1) adc $0, w3 L(lo1): mul v0 add w1, X1 mov X1, -8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 2) adc $0, X1 mov (up,i,8), %rax mul v1 MOV( %rdx, w0, 4) mov (rp,i,8), w1 add w1, w2 adc %rax, w3 adc $0, w0 mov 8(up,i,8), %rax mul v0 add w2, X0 adc %rax, X1 mov X0, (rp,i,8) MOV( %rdx, X0, 8) adc $0, X0 mov 8(up,i,8), %rax mov 8(rp,i,8), w2 mul v1 add w2, w3 adc %rax, w0 MOV( %rdx, w1, 16) adc $0, w1 mov 16(up,i,8), %rax mul v0 add w3, X1 mov X1, 8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 32) mov 16(rp,i,8), w3 adc $0, X1 mov 16(up,i,8), %rax mul v1 add w3, w0 MOV( %rdx, w2, 64) adc %rax, w1 mov 24(up,i,8), %rax adc $0, w2 mul v0 add w0, X0 mov X0, 16(rp,i,8) MOV( %rdx, X0, 128) adc %rax, X1 mov 24(up,i,8), %rax mov 24(rp,i,8), w0 adc $0, X0 add $4, i jnc L(am2top1) mul v1 add w0, w1 adc %rax, w2 adc Z(i,$0), %rdx add w1, X1 adc Z(i,$0), X0 mov X1, I(-8(rp),-8(rp,i,8)) add w2, X0 mov X0, I((rp),(rp,i,8)) adc Z(i,$0), %rdx mov %rdx, I(8(rp),8(rp,i,8)) addl $-2, vn jnz L(olo1) pop %rax pop %r15 pop %r14 pop %r13 pop %r12 pop %rbp pop %rbx FUNC_EXIT() ret ALIGNx L(m2top2): mul v0 add %rax, w3 mov -8(up,i,8), %rax mov w3, -8(rp,i,8) adc %rdx, w0 adc $0, R32(w1) mul v1 add %rax, w0 adc %rdx, w1 mov $0, R32(w2) mov (up,i,8), %rax mul v0 add %rax, w0 mov w0, (rp,i,8) adc %rdx, w1 mov (up,i,8), %rax adc $0, R32(w2) mul v1 add %rax, w1 adc %rdx, w2 mov 8(up,i,8), %rax mul v0 mov $0, R32(w3) add %rax, w1 adc %rdx, w2 adc $0, R32(w3) mov 8(up,i,8), %rax mul v1 add %rax, w2 mov w1, 8(rp,i,8) adc %rdx, w3 mov $0, R32(w0) mov 16(up,i,8), %rax mul v0 add %rax, w2 mov 16(up,i,8), %rax adc %rdx, w3 adc $0, R32(w0) L(m2e2):mul v1 mov $0, R32(w1) add %rax, w3 mov 24(up,i,8), %rax mov w2, 16(rp,i,8) adc %rdx, w0 add $4, i js L(m2top2) mul v0 add %rax, w3 mov I(-8(up),-8(up,i,8)), %rax mov w3, I(-8(rp),-8(rp,i,8)) adc %rdx, w0 adc R32(w1), R32(w1) mul v1 add %rax, w0 adc %rdx, w1 mov w0, I((rp),(rp,i,8)) mov w1, I(8(rp),8(rp,i,8)) add $-2, vn_param jz L(ret2) L(do_am2): push %r15 push vn_param L(olo2): mov (vp), v0 mov 8(vp), v1 lea 16(vp), vp lea 16(rp), rp mov (up,un,8), %rax lea -2(un), i mul v0 mov %rax, X0 MOV( %rdx, X1, 32) mov (up,un,8), %rax mov (rp,un,8), w0 mul v1 mov %rax, w1 lea (%rdx), w2 mov 8(up,un,8), %rax jmp L(lo2) ALIGNx L(am2top2): mul v1 add w0, w1 adc %rax, w2 mov (up,i,8), %rax MOV( %rdx, w3, 1) adc $0, w3 mul v0 add w1, X1 mov X1, -8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 2) adc $0, X1 mov (up,i,8), %rax mul v1 MOV( %rdx, w0, 4) mov (rp,i,8), w1 add w1, w2 adc %rax, w3 adc $0, w0 mov 8(up,i,8), %rax mul v0 add w2, X0 adc %rax, X1 mov X0, (rp,i,8) MOV( %rdx, X0, 8) adc $0, X0 mov 8(up,i,8), %rax mov 8(rp,i,8), w2 mul v1 add w2, w3 adc %rax, w0 MOV( %rdx, w1, 16) adc $0, w1 mov 16(up,i,8), %rax mul v0 add w3, X1 mov X1, 8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 32) mov 16(rp,i,8), w3 adc $0, X1 mov 16(up,i,8), %rax mul v1 add w3, w0 MOV( %rdx, w2, 64) adc %rax, w1 mov 24(up,i,8), %rax adc $0, w2 L(lo2): mul v0 add w0, X0 mov X0, 16(rp,i,8) MOV( %rdx, X0, 128) adc %rax, X1 mov 24(up,i,8), %rax mov 24(rp,i,8), w0 adc $0, X0 add $4, i jnc L(am2top2) mul v1 add w0, w1 adc %rax, w2 adc Z(i,$0), %rdx add w1, X1 adc Z(i,$0), X0 mov X1, I(-8(rp),-8(rp,i,8)) add w2, X0 mov X0, I((rp),(rp,i,8)) adc Z(i,$0), %rdx mov %rdx, I(8(rp),8(rp,i,8)) addl $-2, vn jnz L(olo2) pop %rax pop %r15 pop %r14 pop %r13 pop %r12 pop %rbp pop %rbx FUNC_EXIT() ret ALIGNx L(m2top3): mul v0 add %rax, w3 mov -8(up,i,8), %rax mov w3, -8(rp,i,8) adc %rdx, w0 adc $0, R32(w1) mul v1 add %rax, w0 adc %rdx, w1 mov $0, R32(w2) mov (up,i,8), %rax mul v0 add %rax, w0 mov w0, (rp,i,8) adc %rdx, w1 mov (up,i,8), %rax adc $0, R32(w2) mul v1 add %rax, w1 adc %rdx, w2 mov 8(up,i,8), %rax mul v0 mov $0, R32(w3) add %rax, w1 adc %rdx, w2 adc $0, R32(w3) mov 8(up,i,8), %rax L(m2e3):mul v1 add %rax, w2 mov w1, 8(rp,i,8) adc %rdx, w3 mov $0, R32(w0) mov 16(up,i,8), %rax mul v0 add %rax, w2 mov 16(up,i,8), %rax adc %rdx, w3 adc $0, R32(w0) mul v1 mov $0, R32(w1) add %rax, w3 mov 24(up,i,8), %rax mov w2, 16(rp,i,8) adc %rdx, w0 add $4, i js L(m2top3) mul v0 add %rax, w3 mov I(-8(up),-8(up,i,8)), %rax mov w3, I(-8(rp),-8(rp,i,8)) adc %rdx, w0 adc $0, R32(w1) mul v1 add %rax, w0 adc %rdx, w1 mov w0, I((rp),(rp,i,8)) mov w1, I(8(rp),8(rp,i,8)) add $-2, vn_param jz L(ret2) L(do_am3): push %r15 push vn_param L(olo3): mov (vp), v0 mov 8(vp), v1 lea 16(vp), vp lea 16(rp), rp mov (up,un,8), %rax lea -1(un), i mul v0 mov %rax, X1 MOV( %rdx, X0, 8) mov (up,un,8), %rax mov (rp,un,8), w3 mul v1 mov %rax, w0 MOV( %rdx, w1, 16) mov 8(up,un,8), %rax jmp L(lo3) ALIGNx L(am2top3): mul v1 add w0, w1 adc %rax, w2 mov (up,i,8), %rax MOV( %rdx, w3, 1) adc $0, w3 mul v0 add w1, X1 mov X1, -8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 2) adc $0, X1 mov (up,i,8), %rax mul v1 MOV( %rdx, w0, 4) mov (rp,i,8), w1 add w1, w2 adc %rax, w3 adc $0, w0 mov 8(up,i,8), %rax mul v0 add w2, X0 adc %rax, X1 mov X0, (rp,i,8) MOV( %rdx, X0, 8) adc $0, X0 mov 8(up,i,8), %rax mov 8(rp,i,8), w2 mul v1 add w2, w3 adc %rax, w0 MOV( %rdx, w1, 16) adc $0, w1 mov 16(up,i,8), %rax L(lo3): mul v0 add w3, X1 mov X1, 8(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 32) mov 16(rp,i,8), w3 adc $0, X1 mov 16(up,i,8), %rax mul v1 add w3, w0 MOV( %rdx, w2, 64) adc %rax, w1 mov 24(up,i,8), %rax adc $0, w2 mul v0 add w0, X0 mov X0, 16(rp,i,8) MOV( %rdx, X0, 128) adc %rax, X1 mov 24(up,i,8), %rax mov 24(rp,i,8), w0 adc $0, X0 add $4, i jnc L(am2top3) mul v1 add w0, w1 adc %rax, w2 adc Z(i,$0), %rdx add w1, X1 adc Z(i,$0), X0 mov X1, I(-8(rp),-8(rp,i,8)) add w2, X0 mov X0, I((rp),(rp,i,8)) adc Z(i,$0), %rdx mov %rdx, I(8(rp),8(rp,i,8)) addl $-2, vn jnz L(olo3) pop %rax pop %r15 pop %r14 pop %r13 pop %r12 pop %rbp pop %rbx FUNC_EXIT() ret EPILOGUE() CF_PROT