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dnl Intel Pentium mpn_divexact_1 -- mpn by limb exact division.
dnl Rearranged from mpn/x86/pentium/dive_1.asm by Marco Bodrato.
dnl Copyright 2001, 2002, 2011, 2014 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 divisor
C odd even
C P54: 24.5 30.5 cycles/limb
C P55: 23.0 28.0
MULFUNC_PROLOGUE(mpn_bdiv_q_1 mpn_pi1_bdiv_q_1)
C The P55 speeds noted above, 23 cycles odd or 28 cycles even, are as
C expected. On P54 in the even case the shrdl pairing nonsense (see
C mpn/x86/pentium/README) costs 1 cycle, but it's not clear why there's a
C further 1.5 slowdown for both odd and even.
defframe(PARAM_SHIFT, 24)
defframe(PARAM_INVERSE,20)
defframe(PARAM_DIVISOR,16)
defframe(PARAM_SIZE, 12)
defframe(PARAM_SRC, 8)
defframe(PARAM_DST, 4)
dnl re-use parameter space
define(VAR_INVERSE,`PARAM_DST')
TEXT
ALIGN(32)
C mp_limb_t mpn_bdiv_q_1 (mp_ptr dst, mp_srcptr src, mp_size_t size,
C mp_limb_t divisor);
C
PROLOGUE(mpn_bdiv_q_1)
deflit(`FRAME',0)
movl $-1, %ecx
movl PARAM_DIVISOR, %eax
L(strip_twos):
ASSERT(nz, `orl %eax, %eax')
shrl %eax
incl %ecx C shift count
jnc L(strip_twos)
leal 1(%eax,%eax), %edx C d
andl $127, %eax C d/2, 7 bits
pushl %ebx FRAME_pushl()
pushl %ebp FRAME_pushl()
ifdef(`PIC',`
ifdef(`DARWIN',`
LEA( binvert_limb_table, %ebp)
movzbl (%eax,%ebp), %eax
',`
call L(here)
L(here):
popl %ebp C eip
addl $_GLOBAL_OFFSET_TABLE_+[.-L(here)], %ebp
C AGI
movl binvert_limb_table@GOT(%ebp), %ebp
C AGI
movzbl (%eax,%ebp), %eax
')
',`
dnl non-PIC
movzbl binvert_limb_table(%eax), %eax C inv 8 bits
')
movl %eax, %ebp C inv
addl %eax, %eax C 2*inv
imull %ebp, %ebp C inv*inv
imull %edx, %ebp C inv*inv*d
subl %ebp, %eax C inv = 2*inv - inv*inv*d
movl PARAM_SIZE, %ebx
movl %eax, %ebp
addl %eax, %eax C 2*inv
imull %ebp, %ebp C inv*inv
imull %edx, %ebp C inv*inv*d
subl %ebp, %eax C inv = 2*inv - inv*inv*d
movl %edx, PARAM_DIVISOR C d without twos
ASSERT(e,` C expect d*inv == 1 mod 2^GMP_LIMB_BITS
pushl %eax FRAME_pushl()
imull PARAM_DIVISOR, %eax
cmpl $1, %eax
popl %eax FRAME_popl()')
jmp L(common)
EPILOGUE()
C mp_limb_t
C mpn_pi1_bdiv_q_1 (mp_ptr dst, mp_srcptr src, mp_size_t size, mp_limb_t divisor,
C mp_limb_t inverse, int shift)
ALIGN(32)
PROLOGUE(mpn_pi1_bdiv_q_1)
deflit(`FRAME',0)
movl PARAM_SHIFT, %ecx
pushl %ebx FRAME_pushl()
pushl %ebp FRAME_pushl()
movl PARAM_SIZE, %ebx
movl PARAM_INVERSE, %eax
L(common):
pushl %esi FRAME_pushl()
push %edi FRAME_pushl()
movl PARAM_SRC, %esi
movl PARAM_DST, %edi
movl %eax, VAR_INVERSE
leal (%esi,%ebx,4), %esi C src end
leal (%edi,%ebx,4), %edi C dst end
negl %ebx C -size
xorl %ebp, %ebp C initial carry bit
orl %ecx, %ecx C shift
movl (%esi,%ebx,4), %eax C src low limb
jz L(odd_entry)
xorl %edx, %edx C initial carry limb (for even, if one)
incl %ebx
jz L(one)
movl (%esi,%ebx,4), %edx C src second limb (for even)
shrdl( %cl, %edx, %eax)
jmp L(even_entry)
ALIGN(8)
L(odd_top):
C eax scratch
C ebx counter, limbs, negative
C ecx
C edx
C esi src end
C edi dst end
C ebp carry bit, 0 or -1
mull PARAM_DIVISOR
movl (%esi,%ebx,4), %eax
subl %ebp, %edx
subl %edx, %eax
sbbl %ebp, %ebp
L(odd_entry):
imull VAR_INVERSE, %eax
movl %eax, (%edi,%ebx,4)
incl %ebx
jnz L(odd_top)
popl %edi
popl %esi
popl %ebp
popl %ebx
ret
L(even_top):
C eax scratch
C ebx counter, limbs, negative
C ecx twos
C edx
C esi src end
C edi dst end
C ebp carry bit, 0 or -1
mull PARAM_DIVISOR
subl %ebp, %edx C carry bit
movl -4(%esi,%ebx,4), %eax C src limb
movl (%esi,%ebx,4), %ebp C and one above it
shrdl( %cl, %ebp, %eax)
subl %edx, %eax C carry limb
sbbl %ebp, %ebp
L(even_entry):
imull VAR_INVERSE, %eax
movl %eax, -4(%edi,%ebx,4)
incl %ebx
jnz L(even_top)
mull PARAM_DIVISOR
movl -4(%esi), %eax C src high limb
subl %ebp, %edx
L(one):
shrl %cl, %eax
subl %edx, %eax C no carry if division is exact
imull VAR_INVERSE, %eax
movl %eax, -4(%edi) C dst high limb
nop C protect against cache bank clash
popl %edi
popl %esi
popl %ebp
popl %ebx
ret
EPILOGUE()
ASM_END()
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