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dnl AMD64 mpn_divexact_1 -- mpn by limb exact division.
dnl Copyright 2001, 2002, 2004-2006, 2011, 2012 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
C AMD K8,K9 10
C AMD K10 10
C Intel P4 33
C Intel core2 13.25
C Intel corei 14
C Intel atom 42
C VIA nano 43
C A quick adoption of the 32-bit K7 code.
C INPUT PARAMETERS
C rp rdi
C up rsi
C n rdx
C divisor rcx
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)
ASM_START()
TEXT
ALIGN(16)
PROLOGUE(mpn_divexact_1)
FUNC_ENTRY(4)
push %rbx
mov %rcx, %rax
xor R32(%rcx), R32(%rcx) C shift count
mov %rdx, %r8
bt $0, R32(%rax)
jnc L(evn) C skip bsfq unless divisor is even
L(odd): mov %rax, %rbx
shr R32(%rax)
and $127, R32(%rax) C d/2, 7 bits
LEA( binvert_limb_table, %rdx)
movzbl (%rdx,%rax), R32(%rax) C inv 8 bits
mov %rbx, %r11 C d without twos
lea (%rax,%rax), R32(%rdx) C 2*inv
imul R32(%rax), R32(%rax) C inv*inv
imul R32(%rbx), R32(%rax) C inv*inv*d
sub R32(%rax), R32(%rdx) C inv = 2*inv - inv*inv*d, 16 bits
lea (%rdx,%rdx), R32(%rax) C 2*inv
imul R32(%rdx), R32(%rdx) C inv*inv
imul R32(%rbx), R32(%rdx) C inv*inv*d
sub R32(%rdx), R32(%rax) C inv = 2*inv - inv*inv*d, 32 bits
lea (%rax,%rax), %r10 C 2*inv
imul %rax, %rax C inv*inv
imul %rbx, %rax C inv*inv*d
sub %rax, %r10 C inv = 2*inv - inv*inv*d, 64 bits
lea (%rsi,%r8,8), %rsi C up end
lea -8(%rdi,%r8,8), %rdi C rp end
neg %r8 C -n
mov (%rsi,%r8,8), %rax C up[0]
inc %r8
jz L(one)
mov (%rsi,%r8,8), %rdx C up[1]
shrd R8(%rcx), %rdx, %rax
xor R32(%rbx), R32(%rbx)
jmp L(ent)
L(evn): bsf %rax, %rcx
shr R8(%rcx), %rax
jmp L(odd)
ALIGN(8)
L(top):
C rax q
C rbx carry bit, 0 or 1
C rcx shift
C rdx
C rsi up end
C rdi rp end
C r8 counter, limbs, negative
C r10 d^(-1) mod 2^64
C r11 d, shifted down
mul %r11 C carry limb in rdx 0 10
mov -8(%rsi,%r8,8), %rax C
mov (%rsi,%r8,8), %r9 C
shrd R8(%rcx), %r9, %rax C
nop C
sub %rbx, %rax C apply carry bit
setc %bl C
sub %rdx, %rax C apply carry limb 5
adc $0, %rbx C 6
L(ent): imul %r10, %rax C 6
mov %rax, (%rdi,%r8,8) C
inc %r8 C
jnz L(top)
mul %r11 C carry limb in rdx
mov -8(%rsi), %rax C up high limb
shr R8(%rcx), %rax
sub %rbx, %rax C apply carry bit
sub %rdx, %rax C apply carry limb
imul %r10, %rax
mov %rax, (%rdi)
pop %rbx
FUNC_EXIT()
ret
L(one): shr R8(%rcx), %rax
imul %r10, %rax
mov %rax, (%rdi)
pop %rbx
FUNC_EXIT()
ret
EPILOGUE()
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