dnl AMD64 mpn_mullo_basecase optimised for Conroe/Wolfdale/Nehalem/Westmere. dnl Contributed to the GNU project by Torbjörn Granlund. dnl Copyright 2008, 2009, 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_2 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 4.18-4.25 C Intel NHM 3.75 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 TODO C * Implement proper cor2, replacing current cor0. C * Offset n by 2 in order to avoid the outer loop cmp. (And sqr_basecase?) C * Micro-optimise. C When playing with pointers, set this to $2 to fall back to conservative C indexing in wind-down code. define(`I',`$1') define(`rp', `%rdi') define(`up', `%rsi') define(`vp_param', `%rdx') define(`n_param', `%rcx') define(`v0', `%r10') define(`v1', `%r11') define(`w0', `%rbx') define(`w1', `%rcx') define(`w2', `%rbp') define(`w3', `%r12') define(`n', `%r9') define(`i', `%r13') define(`vp', `%r8') define(`X0', `%r14') 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_mullo_basecase) FUNC_ENTRY(4) mov (up), %rax mov vp_param, vp cmp $4, n_param jb L(small) mov (vp_param), v0 push %rbx lea (rp,n_param,8), rp C point rp at R[un] push %rbp lea (up,n_param,8), up C point up right after U's end push %r12 mov $0, R32(n) C FIXME sub n_param, n push %r13 mul v0 mov 8(vp), v1 test $1, R8(n_param) jnz L(m2x1) L(m2x0):test $2, R8(n_param) jnz L(m2b2) L(m2b0):lea (n), i mov %rax, (rp,n,8) mov %rdx, w1 mov (up,n,8), %rax xor R32(w2), R32(w2) jmp L(m2e0) L(m2b2):lea -2(n), i mov %rax, w2 mov (up,n,8), %rax mov %rdx, w3 xor R32(w0), R32(w0) jmp L(m2e2) L(m2x1):test $2, R8(n_param) jnz L(m2b3) L(m2b1):lea 1(n), i mov %rax, (rp,n,8) mov (up,n,8), %rax mov %rdx, w0 xor R32(w1), R32(w1) jmp L(m2e1) L(m2b3):lea -1(n), i xor R32(w3), R32(w3) mov %rax, w1 mov %rdx, w2 mov (up,n,8), %rax jmp L(m2e3) ALIGNx L(m2tp):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) 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 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) L(m2e2):mul v1 mov $0, R32(w1) C FIXME: dead in last iteration add %rax, w3 mov 24(up,i,8), %rax mov w2, 16(rp,i,8) adc %rdx, w0 C FIXME: dead in last iteration add $4, i js L(m2tp) L(m2ed):imul v0, %rax add w3, %rax mov %rax, I(-8(rp),-8(rp,i,8)) add $2, n lea 16(vp), vp lea -16(up), up cmp $-2, n jge L(cor1) push %r14 push %r15 L(outer): mov (vp), v0 mov 8(vp), v1 mov (up,n,8), %rax mul v0 test $1, R8(n) jnz L(a1x1) L(a1x0):mov %rax, X1 MOV( %rdx, X0, 8) mov (up,n,8), %rax mul v1 test $2, R8(n) jnz L(a110) L(a100):lea (n), i mov (rp,n,8), w3 mov %rax, w0 MOV( %rdx, w1, 16) jmp L(lo0) L(a110):lea 2(n), i mov (rp,n,8), w1 mov %rax, w2 mov 8(up,n,8), %rax MOV( %rdx, w3, 1) jmp L(lo2) L(a1x1):mov %rax, X0 MOV( %rdx, X1, 2) mov (up,n,8), %rax mul v1 test $2, R8(n) jz L(a111) L(a101):lea 1(n), i MOV( %rdx, w0, 4) mov (rp,n,8), w2 mov %rax, w3 jmp L(lo1) L(a111):lea -1(n), i MOV( %rdx, w2, 64) mov %rax, w1 mov (rp,n,8), w0 mov 8(up,n,8), %rax jmp L(lo3) ALIGNx L(top): mul v1 add w0, w1 adc %rax, w2 mov -8(up,i,8), %rax MOV( %rdx, w3, 1) adc $0, w3 L(lo2): mul v0 add w1, X1 mov X1, -16(rp,i,8) adc %rax, X0 MOV( %rdx, X1, 2) adc $0, X1 mov -8(up,i,8), %rax mul v1 MOV( %rdx, w0, 4) mov -8(rp,i,8), w1 add w1, w2 adc %rax, w3 adc $0, w0 L(lo1): mov (up,i,8), %rax mul v0 add w2, X0 adc %rax, X1 mov X0, -8(rp,i,8) MOV( %rdx, X0, 8) adc $0, X0 mov (up,i,8), %rax mov (rp,i,8), w2 mul v1 add w2, w3 adc %rax, w0 MOV( %rdx, w1, 16) adc $0, w1 L(lo0): mov 8(up,i,8), %rax mul v0 add w3, X1 mov X1, (rp,i,8) adc %rax, X0 MOV( %rdx, X1, 32) mov 8(rp,i,8), w3 adc $0, X1 mov 8(up,i,8), %rax mul v1 add w3, w0 MOV( %rdx, w2, 64) adc %rax, w1 mov 16(up,i,8), %rax adc $0, w2 L(lo3): mul v0 add w0, X0 mov X0, 8(rp,i,8) MOV( %rdx, X0, 128) adc %rax, X1 mov 16(up,i,8), %rax mov 16(rp,i,8), w0 adc $0, X0 add $4, i jnc L(top) L(end): imul v1, %rax add w0, w1 adc %rax, w2 mov I(-8(up),-8(up,i,8)), %rax imul v0, %rax add w1, X1 mov X1, I(-16(rp),-16(rp,i,8)) adc X0, %rax mov I(-8(rp),-8(rp,i,8)), w1 add w1, w2 add w2, %rax mov %rax, I(-8(rp),-8(rp,i,8)) add $2, n lea 16(vp), vp lea -16(up), up cmp $-2, n jl L(outer) pop %r15 pop %r14 jnz L(cor0) L(cor1):mov (vp), v0 mov 8(vp), v1 mov -16(up), %rax mul v0 C u0 x v2 add -16(rp), %rax C FIXME: rp[0] still available in reg? adc -8(rp), %rdx C FIXME: rp[1] still available in reg? mov -8(up), %rbx imul v0, %rbx mov -16(up), %rcx imul v1, %rcx mov %rax, -16(rp) add %rbx, %rcx add %rdx, %rcx mov %rcx, -8(rp) pop %r13 pop %r12 pop %rbp pop %rbx FUNC_EXIT() ret L(cor0):mov (vp), %r11 imul -8(up), %r11 add %rax, %r11 mov %r11, -8(rp) pop %r13 pop %r12 pop %rbp pop %rbx FUNC_EXIT() ret ALIGN(16) L(small): cmp $2, n_param jae L(gt1) L(n1): imul (vp_param), %rax mov %rax, (rp) FUNC_EXIT() ret L(gt1): ja L(gt2) L(n2): mov (vp_param), %r9 mul %r9 mov %rax, (rp) mov 8(up), %rax imul %r9, %rax add %rax, %rdx mov 8(vp), %r9 mov (up), %rcx imul %r9, %rcx add %rcx, %rdx mov %rdx, 8(rp) FUNC_EXIT() ret L(gt2): L(n3): mov (vp_param), %r9 mul %r9 C u0 x v0 mov %rax, (rp) mov %rdx, %r10 mov 8(up), %rax mul %r9 C u1 x v0 imul 16(up), %r9 C u2 x v0 add %rax, %r10 adc %rdx, %r9 mov 8(vp), %r11 mov (up), %rax mul %r11 C u0 x v1 add %rax, %r10 adc %rdx, %r9 imul 8(up), %r11 C u1 x v1 add %r11, %r9 mov %r10, 8(rp) mov 16(vp), %r10 mov (up), %rax imul %rax, %r10 C u0 x v2 add %r10, %r9 mov %r9, 16(rp) FUNC_EXIT() ret EPILOGUE() CF_PROT