Blame mpn/x86/pentium/bdiv_q_1.asm

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dnl  Intel Pentium mpn_divexact_1 -- mpn by limb exact division.
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dnl  Rearranged from mpn/x86/pentium/dive_1.asm by Marco Bodrato.
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dnl  Copyright 2001, 2002, 2011, 2014 Free Software Foundation, Inc.
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dnl  This file is part of the GNU MP Library.
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dnl
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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 either:
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dnl
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dnl    * the GNU Lesser General Public License as published by the Free
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dnl      Software Foundation; either version 3 of the License, or (at your
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dnl      option) any later version.
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dnl
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dnl  or
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dnl
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dnl    * the GNU General Public License as published by the Free Software
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dnl      Foundation; either version 2 of the License, or (at your option) any
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dnl      later version.
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dnl
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dnl  or both in parallel, as here.
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dnl
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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 General Public License
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dnl  for more details.
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dnl
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dnl  You should have received copies of the GNU General Public License and the
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dnl  GNU Lesser General Public License along with the GNU MP Library.  If not,
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dnl  see https://www.gnu.org/licenses/.
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include(`../config.m4')
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C         divisor
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C       odd   even
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C P54:  24.5  30.5   cycles/limb
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C P55:  23.0  28.0
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MULFUNC_PROLOGUE(mpn_bdiv_q_1 mpn_pi1_bdiv_q_1)
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C The P55 speeds noted above, 23 cycles odd or 28 cycles even, are as
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C expected.  On P54 in the even case the shrdl pairing nonsense (see
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C mpn/x86/pentium/README) costs 1 cycle, but it's not clear why there's a
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C further 1.5 slowdown for both odd and even.
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defframe(PARAM_SHIFT,  24)
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defframe(PARAM_INVERSE,20)
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defframe(PARAM_DIVISOR,16)
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defframe(PARAM_SIZE,   12)
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defframe(PARAM_SRC,    8)
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defframe(PARAM_DST,    4)
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dnl  re-use parameter space
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define(VAR_INVERSE,`PARAM_DST')
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	TEXT
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	ALIGN(32)
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C mp_limb_t mpn_bdiv_q_1 (mp_ptr dst, mp_srcptr src, mp_size_t size,
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C                           mp_limb_t divisor);
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C
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PROLOGUE(mpn_bdiv_q_1)
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deflit(`FRAME',0)
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	movl	$-1, %ecx
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	movl	PARAM_DIVISOR, %eax
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L(strip_twos):
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	ASSERT(nz, `orl %eax, %eax')
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	shrl	%eax
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	incl	%ecx			C shift count
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	jnc	L(strip_twos)
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	leal	1(%eax,%eax), %edx	C d
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	andl	$127, %eax		C d/2, 7 bits
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	pushl	%ebx		FRAME_pushl()
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	pushl	%ebp		FRAME_pushl()
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ifdef(`PIC',`
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ifdef(`DARWIN',`
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	LEA(	binvert_limb_table, %ebp)
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	movzbl	(%eax,%ebp), %eax
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',`
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	call	L(here)
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L(here):
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	popl	%ebp			C eip
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	addl	$_GLOBAL_OFFSET_TABLE_+[.-L(here)], %ebp
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	C AGI
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	movl	binvert_limb_table@GOT(%ebp), %ebp
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	C AGI
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	movzbl	(%eax,%ebp), %eax
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')
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',`
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dnl non-PIC
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	movzbl	binvert_limb_table(%eax), %eax	C inv 8 bits
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')
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	movl	%eax, %ebp		C inv
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	addl	%eax, %eax		C 2*inv
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	imull	%ebp, %ebp		C inv*inv
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	imull	%edx, %ebp		C inv*inv*d
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	subl	%ebp, %eax		C inv = 2*inv - inv*inv*d
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	movl	PARAM_SIZE, %ebx
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	movl	%eax, %ebp
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	addl	%eax, %eax		C 2*inv
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	imull	%ebp, %ebp		C inv*inv
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	imull	%edx, %ebp		C inv*inv*d
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	subl	%ebp, %eax		C inv = 2*inv - inv*inv*d
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	movl	%edx, PARAM_DIVISOR	C d without twos
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	ASSERT(e,`	C expect d*inv == 1 mod 2^GMP_LIMB_BITS
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	pushl	%eax	FRAME_pushl()
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	imull	PARAM_DIVISOR, %eax
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	cmpl	$1, %eax
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	popl	%eax	FRAME_popl()')
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	jmp	L(common)
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EPILOGUE()
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C mp_limb_t
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C mpn_pi1_bdiv_q_1 (mp_ptr dst, mp_srcptr src, mp_size_t size, mp_limb_t divisor,
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C		    mp_limb_t inverse, int shift)
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	ALIGN(32)
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PROLOGUE(mpn_pi1_bdiv_q_1)
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deflit(`FRAME',0)
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	movl	PARAM_SHIFT, %ecx
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	pushl	%ebx		FRAME_pushl()
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	pushl	%ebp		FRAME_pushl()
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	movl	PARAM_SIZE, %ebx
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	movl	PARAM_INVERSE, %eax
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L(common):
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	pushl	%esi		FRAME_pushl()
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	push	%edi		FRAME_pushl()
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	movl	PARAM_SRC, %esi
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	movl	PARAM_DST, %edi
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	movl	%eax, VAR_INVERSE
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	leal	(%esi,%ebx,4), %esi	C src end
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	leal	(%edi,%ebx,4), %edi	C dst end
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	negl	%ebx			C -size
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	xorl	%ebp, %ebp		C initial carry bit
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	orl	%ecx, %ecx		C shift
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	movl	(%esi,%ebx,4), %eax	C src low limb
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	jz	L(odd_entry)
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	xorl	%edx, %edx		C initial carry limb (for even, if one)
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	incl	%ebx
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	jz	L(one)
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	movl	(%esi,%ebx,4), %edx	C src second limb (for even)
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	shrdl(	%cl, %edx, %eax)
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	jmp	L(even_entry)
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	ALIGN(8)
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L(odd_top):
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	C eax	scratch
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	C ebx	counter, limbs, negative
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	C ecx
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	C edx
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	C esi	src end
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	C edi	dst end
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	C ebp	carry bit, 0 or -1
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	mull	PARAM_DIVISOR
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	movl	(%esi,%ebx,4), %eax
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	subl	%ebp, %edx
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	subl	%edx, %eax
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	sbbl	%ebp, %ebp
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L(odd_entry):
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	imull	VAR_INVERSE, %eax
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	movl	%eax, (%edi,%ebx,4)
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	incl	%ebx
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	jnz	L(odd_top)
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	popl	%edi
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	popl	%esi
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	popl	%ebp
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	popl	%ebx
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	ret
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L(even_top):
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	C eax	scratch
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	C ebx	counter, limbs, negative
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	C ecx	twos
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	C edx
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	C esi	src end
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	C edi	dst end
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	C ebp	carry bit, 0 or -1
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	mull	PARAM_DIVISOR
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	subl	%ebp, %edx		C carry bit
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	movl	-4(%esi,%ebx,4), %eax	C src limb
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	movl	(%esi,%ebx,4), %ebp	C and one above it
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	shrdl(	%cl, %ebp, %eax)
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	subl	%edx, %eax		C carry limb
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	sbbl	%ebp, %ebp
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L(even_entry):
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	imull	VAR_INVERSE, %eax
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	movl	%eax, -4(%edi,%ebx,4)
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	incl	%ebx
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	jnz	L(even_top)
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	mull	PARAM_DIVISOR
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	movl	-4(%esi), %eax		C src high limb
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	subl	%ebp, %edx
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L(one):
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	shrl	%cl, %eax
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	subl	%edx, %eax		C no carry if division is exact
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	imull	VAR_INVERSE, %eax
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	movl	%eax, -4(%edi)		C dst high limb
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	nop				C protect against cache bank clash
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	popl	%edi
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	popl	%esi
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	popl	%ebp
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	popl	%ebx
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	ret
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EPILOGUE()
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ASM_END()