797 lines
14 KiB
NASM
797 lines
14 KiB
NASM
dnl AMD64 mpn_sqr_basecase.
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dnl Contributed to the GNU project by Torbjorn Granlund.
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dnl Copyright 2008, 2009, 2011, 2012 Free Software Foundation, Inc.
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dnl This file is part of the GNU MP Library.
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dnl The GNU MP Library is free software; you can redistribute it and/or modify
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dnl it under the terms of the GNU Lesser General Public License as published
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dnl by the Free Software Foundation; either version 3 of the License, or (at
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dnl your option) any later version.
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dnl The GNU MP Library is distributed in the hope that it will be useful, but
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dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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dnl License for more details.
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dnl You should have received a copy of the GNU Lesser General Public License
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dnl along with the GNU MP Library. If not, see http://www.gnu.org/licenses/.
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include(`../config.m4')
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C The inner loops of this code are the result of running a code generation and
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C optimization tool suite written by David Harvey and Torbjorn Granlund.
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C NOTES
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C * There is a major stupidity in that we call mpn_mul_1 initially, for a
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C large trip count. Instead, we should follow the generic/sqr_basecase.c
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C code which uses addmul_2s from the start, conditionally leaving a 1x1
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C multiply to the end. (In assembly code, one would stop invoking
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C addmul_2s loops when perhaps 3x2s respectively a 2x2s remains.)
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C * Another stupidity is in the sqr_diag_addlsh1 code. It does not need to
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C save/restore carry, instead it can propagate into the high product word.
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C * Align more labels, should shave off a few cycles.
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C * We can safely use 32-bit size operations, since operands with (2^32)
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C limbs will lead to non-termination in practice.
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C * The jump table could probably be optimized, at least for non-pic.
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C * The special code for n <= 4 was quickly written. It is probably too
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C large and unnecessarily slow.
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C * Consider combining small cases code so that the n=k-1 code jumps into the
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C middle of the n=k code.
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C * Avoid saving registers for small cases code.
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C * Needed variables:
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C n r11 input size
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C i r8 work left, initially n
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C j r9 inner loop count
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C r15 unused
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C v0 r13
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C v1 r14
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C rp rdi
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C up rsi
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C w0 rbx
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C w1 rcx
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C w2 rbp
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C w3 r10
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C tp r12
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C lo rax
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C hi rdx
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C rsp
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C INPUT PARAMETERS
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define(`rp', `%rdi')
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define(`up', `%rsi')
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define(`n_param', `%rdx')
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define(`n_param32', `%edx')
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define(`n', `%r11')
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define(`n32', `%r11d')
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define(`tp', `%r12')
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define(`i', `%r8')
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define(`i32', `%r8d')
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define(`j', `%r9')
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define(`j8', `%r9b')
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define(`j32', `%r9d')
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define(`v0', `%r13')
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define(`v1', `%r14')
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define(`w0', `%rbx')
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define(`w032', `%ebx')
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define(`w1', `%rcx')
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define(`w132', `%ecx')
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define(`w2', `%rbp')
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define(`w232', `%ebp')
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define(`w3', `%r10')
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define(`w332', `%r10d')
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ASM_START()
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TEXT
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ALIGN(16)
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PROLOGUE(mpn_sqr_basecase)
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mov n_param32, %ecx
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mov n_param32, n32 C free original n register (rdx)
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add $-40, %rsp
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and $3, %ecx
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cmp $4, n_param32
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lea 4(%rcx), %r8
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mov %rbx, 32(%rsp)
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mov %rbp, 24(%rsp)
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mov %r12, 16(%rsp)
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mov %r13, 8(%rsp)
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mov %r14, (%rsp)
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cmovg %r8, %rcx
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lea .Ltab(%rip), %rax
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ifdef(`PIC',
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` movslq (%rax,%rcx,4), %r10
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add %r10, %rax
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jmp *%rax
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',`
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jmp *(%rax,%rcx,8)
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')
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JUMPTABSECT
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ALIGN(8)
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.Ltab: JMPENT( .Ll4, .Ltab)
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JMPENT( .Ll1, .Ltab)
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JMPENT( .Ll2, .Ltab)
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JMPENT( .Ll3, .Ltab)
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JMPENT( .Ll0m4, .Ltab)
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JMPENT( .Ll1m4, .Ltab)
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JMPENT( .Ll2m4, .Ltab)
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JMPENT( .Ll3m4, .Ltab)
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TEXT
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.Ll1: mov (up), %rax
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mul %rax
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add $40, %rsp
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mov %rax, (rp)
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mov %rdx, 8(rp)
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ret
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.Ll2: mov (up), %rax
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mov %rax, %r8
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mul %rax
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mov 8(up), %r11
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mov %rax, (rp)
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mov %r11, %rax
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mov %rdx, %r9
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mul %rax
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add $40, %rsp
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mov %rax, %r10
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mov %r11, %rax
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mov %rdx, %r11
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mul %r8
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xor %r8, %r8
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add %rax, %r9
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adc %rdx, %r10
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adc %r8, %r11
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add %rax, %r9
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mov %r9, 8(rp)
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adc %rdx, %r10
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mov %r10, 16(rp)
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adc %r8, %r11
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mov %r11, 24(rp)
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ret
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.Ll3: mov (up), %rax
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mov %rax, %r10
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mul %rax
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mov 8(up), %r11
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mov %rax, (rp)
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mov %r11, %rax
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mov %rdx, 8(rp)
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mul %rax
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mov 16(up), %rcx
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mov %rax, 16(rp)
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mov %rcx, %rax
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mov %rdx, 24(rp)
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mul %rax
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mov %rax, 32(rp)
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mov %rdx, 40(rp)
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mov %r11, %rax
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mul %r10
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mov %rax, %r8
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mov %rcx, %rax
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mov %rdx, %r9
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mul %r10
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xor %r10, %r10
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add %rax, %r9
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mov %r11, %rax
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mov %r10, %r11
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adc %rdx, %r10
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mul %rcx
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add $40, %rsp
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add %rax, %r10
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adc %r11, %rdx
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add %r8, %r8
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adc %r9, %r9
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adc %r10, %r10
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adc %rdx, %rdx
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adc %r11, %r11
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add %r8, 8(rp)
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adc %r9, 16(rp)
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adc %r10, 24(rp)
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adc %rdx, 32(rp)
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adc %r11, 40(rp)
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ret
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.Ll4: mov (up), %rax
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mov %rax, %r11
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mul %rax
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mov 8(up), %rbx
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mov %rax, (rp)
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mov %rbx, %rax
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mov %rdx, 8(rp)
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mul %rax
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mov %rax, 16(rp)
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mov %rdx, 24(rp)
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mov 16(up), %rax
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mul %rax
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mov %rax, 32(rp)
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mov %rdx, 40(rp)
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mov 24(up), %rax
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mul %rax
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mov %rax, 48(rp)
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mov %rbx, %rax
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mov %rdx, 56(rp)
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mul %r11
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add $32, %rsp
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mov %rax, %r8
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mov %rdx, %r9
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mov 16(up), %rax
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mul %r11
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xor %r10, %r10
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add %rax, %r9
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adc %rdx, %r10
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mov 24(up), %rax
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mul %r11
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xor %r11, %r11
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add %rax, %r10
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adc %rdx, %r11
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mov 16(up), %rax
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mul %rbx
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xor %rcx, %rcx
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add %rax, %r10
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adc %rdx, %r11
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adc $0, %rcx
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mov 24(up), %rax
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mul %rbx
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pop %rbx
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add %rax, %r11
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adc %rdx, %rcx
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mov 16(up), %rdx
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mov 24(up), %rax
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mul %rdx
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add %rax, %rcx
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adc $0, %rdx
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add %r8, %r8
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adc %r9, %r9
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adc %r10, %r10
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adc %r11, %r11
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adc %rcx, %rcx
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mov $0, %eax
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adc %rdx, %rdx
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adc %rax, %rax
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add %r8, 8(rp)
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adc %r9, 16(rp)
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adc %r10, 24(rp)
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adc %r11, 32(rp)
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adc %rcx, 40(rp)
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adc %rdx, 48(rp)
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adc %rax, 56(rp)
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ret
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.Ll0m4:
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lea -16(rp,n,8), tp C point tp in middle of result operand
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mov (up), v0
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mov 8(up), %rax
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lea (up,n,8), up C point up at end of input operand
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lea -4(n), i
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C Function mpn_mul_1_m3(tp, up - i, i, up[-i - 1])
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xor j32, j32
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sub n, j
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mul v0
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xor w232, w232
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mov %rax, w0
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mov 16(up,j,8), %rax
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mov %rdx, w3
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jmp .LlL3
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ALIGN(16)
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.Lmul_1_m3_top:
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add %rax, w2
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mov w3, (tp,j,8)
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mov (up,j,8), %rax
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adc %rdx, w1
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xor w032, w032
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mul v0
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xor w332, w332
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mov w2, 8(tp,j,8)
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add %rax, w1
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adc %rdx, w0
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mov 8(up,j,8), %rax
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mov w1, 16(tp,j,8)
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xor w232, w232
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mul v0
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add %rax, w0
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mov 16(up,j,8), %rax
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adc %rdx, w3
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.LlL3: xor w132, w132
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mul v0
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add %rax, w3
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mov 24(up,j,8), %rax
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adc %rdx, w2
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mov w0, 24(tp,j,8)
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mul v0
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add $4, j
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js .Lmul_1_m3_top
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add %rax, w2
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mov w3, (tp)
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adc %rdx, w1
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mov w2, 8(tp)
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mov w1, 16(tp)
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lea eval(2*8)(tp), tp C tp += 2
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lea -8(up), up
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jmp .Ldowhile
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.Ll1m4:
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lea 8(rp,n,8), tp C point tp in middle of result operand
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mov (up), v0 C u0
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mov 8(up), %rax C u1
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lea 8(up,n,8), up C point up at end of input operand
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lea -3(n), i
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C Function mpn_mul_2s_m0(tp, up - i, i, up - i - 1)
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lea -3(n), j
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neg j
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mov %rax, v1 C u1
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mul v0 C u0 * u1
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mov %rdx, w1
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xor w232, w232
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mov %rax, 8(rp)
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jmp .Llm0
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ALIGN(16)
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.Lmul_2_m0_top:
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mul v1
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add %rax, w0
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adc %rdx, w1
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mov -24(up,j,8), %rax
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mov $0, w232
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mul v0
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add %rax, w0
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mov -24(up,j,8), %rax
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adc %rdx, w1
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adc $0, w232
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mul v1 C v1 * u0
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add %rax, w1
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mov w0, -24(tp,j,8)
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adc %rdx, w2
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.Llm0: mov -16(up,j,8), %rax C u2, u6 ...
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mul v0 C u0 * u2
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mov $0, w332
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add %rax, w1
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adc %rdx, w2
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mov -16(up,j,8), %rax
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adc $0, w332
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mov $0, w032
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mov w1, -16(tp,j,8)
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mul v1
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add %rax, w2
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mov -8(up,j,8), %rax
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adc %rdx, w3
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mov $0, w132
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mul v0
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add %rax, w2
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mov -8(up,j,8), %rax
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adc %rdx, w3
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adc $0, w032
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mul v1
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add %rax, w3
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mov w2, -8(tp,j,8)
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adc %rdx, w0
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.Llm2x: mov (up,j,8), %rax
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mul v0
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add %rax, w3
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adc %rdx, w0
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adc $0, w132
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add $4, j
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mov -32(up,j,8), %rax
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mov w3, -32(tp,j,8)
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js .Lmul_2_m0_top
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mul v1
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add %rax, w0
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adc %rdx, w1
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mov w0, -8(tp)
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mov w1, (tp)
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lea -16(up), up
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lea eval(3*8-24)(tp), tp C tp += 3
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jmp .Ldowhile_end
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.Ll2m4:
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lea -16(rp,n,8), tp C point tp in middle of result operand
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mov (up), v0
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mov 8(up), %rax
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lea (up,n,8), up C point up at end of input operand
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lea -4(n), i
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C Function mpn_mul_1_m1(tp, up - (i - 1), i - 1, up[-i])
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lea -2(n), j
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neg j
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mul v0
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mov %rax, w2
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mov (up,j,8), %rax
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mov %rdx, w1
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jmp .LlL1
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ALIGN(16)
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.Lmul_1_m1_top:
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add %rax, w2
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mov w3, (tp,j,8)
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mov (up,j,8), %rax
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adc %rdx, w1
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.LlL1: xor w032, w032
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mul v0
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xor w332, w332
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mov w2, 8(tp,j,8)
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add %rax, w1
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adc %rdx, w0
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mov 8(up,j,8), %rax
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mov w1, 16(tp,j,8)
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xor w232, w232
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mul v0
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add %rax, w0
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mov 16(up,j,8), %rax
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adc %rdx, w3
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xor w132, w132
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mul v0
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add %rax, w3
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mov 24(up,j,8), %rax
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adc %rdx, w2
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mov w0, 24(tp,j,8)
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mul v0
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add $4, j
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js .Lmul_1_m1_top
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add %rax, w2
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mov w3, (tp)
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adc %rdx, w1
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mov w2, 8(tp)
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mov w1, 16(tp)
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lea eval(2*8)(tp), tp C tp += 2
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lea -8(up), up
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jmp .Ldowhile_mid
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.Ll3m4:
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lea 8(rp,n,8), tp C point tp in middle of result operand
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mov (up), v0 C u0
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mov 8(up), %rax C u1
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lea 8(up,n,8), up C point up at end of input operand
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lea -5(n), i
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C Function mpn_mul_2s_m2(tp, up - i + 1, i - 1, up - i)
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lea -1(n), j
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neg j
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mov %rax, v1 C u1
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mul v0 C u0 * u1
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mov %rdx, w3
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xor w032, w032
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xor w132, w132
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mov %rax, 8(rp)
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jmp .Llm2
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ALIGN(16)
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.Lmul_2_m2_top:
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mul v1
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add %rax, w0
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adc %rdx, w1
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mov -24(up,j,8), %rax
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mov $0, w232
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mul v0
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add %rax, w0
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mov -24(up,j,8), %rax
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adc %rdx, w1
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adc $0, w232
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mul v1 C v1 * u0
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add %rax, w1
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mov w0, -24(tp,j,8)
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adc %rdx, w2
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mov -16(up,j,8), %rax
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mul v0
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mov $0, w332
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add %rax, w1
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adc %rdx, w2
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mov -16(up,j,8), %rax
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adc $0, w332
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mov $0, w032
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mov w1, -16(tp,j,8)
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mul v1
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add %rax, w2
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mov -8(up,j,8), %rax
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adc %rdx, w3
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mov $0, w132
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mul v0
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add %rax, w2
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mov -8(up,j,8), %rax
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adc %rdx, w3
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adc $0, w032
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mul v1
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add %rax, w3
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mov w2, -8(tp,j,8)
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adc %rdx, w0
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|
.Llm2: mov (up,j,8), %rax
|
|
mul v0
|
|
add %rax, w3
|
|
adc %rdx, w0
|
|
adc $0, w132
|
|
add $4, j
|
|
mov -32(up,j,8), %rax
|
|
mov w3, -32(tp,j,8)
|
|
js .Lmul_2_m2_top
|
|
|
|
mul v1
|
|
add %rax, w0
|
|
adc %rdx, w1
|
|
mov w0, -8(tp)
|
|
mov w1, (tp)
|
|
|
|
lea -16(up), up
|
|
jmp .Ldowhile_mid
|
|
|
|
.Ldowhile:
|
|
C Function mpn_addmul_2s_m2(tp, up - (i - 1), i - 1, up - i)
|
|
lea 4(i), j
|
|
neg j
|
|
|
|
mov 16(up,j,8), v0
|
|
mov 24(up,j,8), v1
|
|
mov 24(up,j,8), %rax
|
|
mul v0
|
|
xor w332, w332
|
|
add %rax, 24(tp,j,8)
|
|
adc %rdx, w3
|
|
xor w032, w032
|
|
xor w132, w132
|
|
jmp .Llam2
|
|
|
|
ALIGN(16)
|
|
.Laddmul_2_m2_top:
|
|
add w3, (tp,j,8)
|
|
adc %rax, w0
|
|
mov 8(up,j,8), %rax
|
|
adc %rdx, w1
|
|
mov $0, w232
|
|
mul v0
|
|
add %rax, w0
|
|
mov 8(up,j,8), %rax
|
|
adc %rdx, w1
|
|
adc $0, w232
|
|
mul v1 C v1 * u0
|
|
add w0, 8(tp,j,8)
|
|
adc %rax, w1
|
|
adc %rdx, w2
|
|
mov 16(up,j,8), %rax
|
|
mov $0, w332
|
|
mul v0 C v0 * u1
|
|
add %rax, w1
|
|
mov 16(up,j,8), %rax
|
|
adc %rdx, w2
|
|
adc $0, w332
|
|
mul v1 C v1 * u1
|
|
add w1, 16(tp,j,8)
|
|
adc %rax, w2
|
|
mov 24(up,j,8), %rax
|
|
adc %rdx, w3
|
|
mul v0
|
|
mov $0, w032
|
|
add %rax, w2
|
|
adc %rdx, w3
|
|
mov $0, w132
|
|
mov 24(up,j,8), %rax
|
|
adc $0, w032
|
|
mul v1
|
|
add w2, 24(tp,j,8)
|
|
adc %rax, w3
|
|
adc %rdx, w0
|
|
.Llam2: mov 32(up,j,8), %rax
|
|
mul v0
|
|
add %rax, w3
|
|
mov 32(up,j,8), %rax
|
|
adc %rdx, w0
|
|
adc $0, w132
|
|
mul v1
|
|
add $4, j
|
|
js .Laddmul_2_m2_top
|
|
|
|
add w3, (tp)
|
|
adc %rax, w0
|
|
adc %rdx, w1
|
|
mov w0, 8(tp)
|
|
mov w1, 16(tp)
|
|
|
|
lea eval(2*8)(tp), tp C tp += 2
|
|
|
|
add $-2, i32 C i -= 2
|
|
|
|
.Ldowhile_mid:
|
|
C Function mpn_addmul_2s_m0(tp, up - (i - 1), i - 1, up - i)
|
|
lea 2(i), j
|
|
neg j
|
|
|
|
mov (up,j,8), v0
|
|
mov 8(up,j,8), v1
|
|
mov 8(up,j,8), %rax
|
|
mul v0
|
|
xor w132, w132
|
|
add %rax, 8(tp,j,8)
|
|
adc %rdx, w1
|
|
xor w232, w232
|
|
jmp .Ll20
|
|
|
|
ALIGN(16)
|
|
.Laddmul_2_m0_top:
|
|
add w3, (tp,j,8)
|
|
adc %rax, w0
|
|
mov 8(up,j,8), %rax
|
|
adc %rdx, w1
|
|
mov $0, w232
|
|
mul v0
|
|
add %rax, w0
|
|
mov 8(up,j,8), %rax
|
|
adc %rdx, w1
|
|
adc $0, w232
|
|
mul v1 C v1 * u0
|
|
add w0, 8(tp,j,8)
|
|
adc %rax, w1
|
|
adc %rdx, w2
|
|
.Ll20: mov 16(up,j,8), %rax
|
|
mov $0, w332
|
|
mul v0 C v0 * u1
|
|
add %rax, w1
|
|
mov 16(up,j,8), %rax
|
|
adc %rdx, w2
|
|
adc $0, w332
|
|
mul v1 C v1 * u1
|
|
add w1, 16(tp,j,8)
|
|
adc %rax, w2
|
|
mov 24(up,j,8), %rax
|
|
adc %rdx, w3
|
|
mul v0
|
|
mov $0, w032
|
|
add %rax, w2
|
|
adc %rdx, w3
|
|
mov $0, w132
|
|
mov 24(up,j,8), %rax
|
|
adc $0, w032
|
|
mul v1
|
|
add w2, 24(tp,j,8)
|
|
adc %rax, w3
|
|
adc %rdx, w0
|
|
mov 32(up,j,8), %rax
|
|
mul v0
|
|
add %rax, w3
|
|
mov 32(up,j,8), %rax
|
|
adc %rdx, w0
|
|
adc $0, w132
|
|
mul v1
|
|
add $4, j
|
|
js .Laddmul_2_m0_top
|
|
|
|
add w3, (tp)
|
|
adc %rax, w0
|
|
adc %rdx, w1
|
|
mov w0, 8(tp)
|
|
mov w1, 16(tp)
|
|
|
|
lea eval(2*8)(tp), tp C tp += 2
|
|
.Ldowhile_end:
|
|
|
|
add $-2, i32 C i -= 2
|
|
jne .Ldowhile
|
|
|
|
C Function mpn_addmul_2s_2
|
|
mov -16(up), v0
|
|
mov -8(up), v1
|
|
mov -8(up), %rax
|
|
mul v0
|
|
xor w332, w332
|
|
add %rax, -8(tp)
|
|
adc %rdx, w3
|
|
xor w032, w032
|
|
xor w132, w132
|
|
mov (up), %rax
|
|
mul v0
|
|
add %rax, w3
|
|
mov (up), %rax
|
|
adc %rdx, w0
|
|
mul v1
|
|
add w3, (tp)
|
|
adc %rax, w0
|
|
adc %rdx, w1
|
|
mov w0, 8(tp)
|
|
mov w1, 16(tp)
|
|
|
|
C Function mpn_sqr_diag_addlsh1
|
|
lea -4(n,n), j
|
|
|
|
mov 8(rp), %r11
|
|
lea -8(up), up
|
|
lea (rp,j,8), rp
|
|
neg j
|
|
mov (up,j,4), %rax
|
|
mul %rax
|
|
test $2, j8
|
|
jnz .Lodd
|
|
|
|
.Levn: add %r11, %r11
|
|
sbb %ebx, %ebx C save CF
|
|
add %rdx, %r11
|
|
mov %rax, (rp,j,8)
|
|
jmp .Lld0
|
|
|
|
.Lodd: add %r11, %r11
|
|
sbb %ebp, %ebp C save CF
|
|
add %rdx, %r11
|
|
mov %rax, (rp,j,8)
|
|
lea -2(j), j
|
|
jmp .Lld1
|
|
|
|
ALIGN(16)
|
|
.Ltop: mov (up,j,4), %rax
|
|
mul %rax
|
|
add %ebp, %ebp C restore carry
|
|
adc %rax, %r10
|
|
adc %rdx, %r11
|
|
mov %r10, (rp,j,8)
|
|
.Lld0: mov %r11, 8(rp,j,8)
|
|
mov 16(rp,j,8), %r10
|
|
adc %r10, %r10
|
|
mov 24(rp,j,8), %r11
|
|
adc %r11, %r11
|
|
nop
|
|
sbb %ebp, %ebp C save CF
|
|
mov 8(up,j,4), %rax
|
|
mul %rax
|
|
add %ebx, %ebx C restore carry
|
|
adc %rax, %r10
|
|
adc %rdx, %r11
|
|
mov %r10, 16(rp,j,8)
|
|
.Lld1: mov %r11, 24(rp,j,8)
|
|
mov 32(rp,j,8), %r10
|
|
adc %r10, %r10
|
|
mov 40(rp,j,8), %r11
|
|
adc %r11, %r11
|
|
sbb %ebx, %ebx C save CF
|
|
add $4, j
|
|
js .Ltop
|
|
|
|
mov (up), %rax
|
|
mul %rax
|
|
add %ebp, %ebp C restore carry
|
|
adc %rax, %r10
|
|
adc %rdx, %r11
|
|
mov %r10, (rp)
|
|
mov %r11, 8(rp)
|
|
mov 16(rp), %r10
|
|
adc %r10, %r10
|
|
sbb %ebp, %ebp C save CF
|
|
neg %ebp
|
|
mov 8(up), %rax
|
|
mul %rax
|
|
add %ebx, %ebx C restore carry
|
|
adc %rax, %r10
|
|
adc %rbp, %rdx
|
|
mov %r10, 16(rp)
|
|
mov %rdx, 24(rp)
|
|
|
|
pop %r14
|
|
pop %r13
|
|
pop %r12
|
|
pop %rbp
|
|
pop %rbx
|
|
ret
|
|
EPILOGUE()
|