Blame mpn/x86_64/gcd_1.asm

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dnl  AMD64 mpn_gcd_1 -- mpn by 1 gcd.
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dnl  Based on the K7 gcd_1.asm, by Kevin Ryde.  Rehacked for AMD64 by Torbjorn
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dnl  Granlund.
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dnl  Copyright 2000-2002, 2005, 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
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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	     cycles/bit (approx)
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C AMD K8,K9	 5.21                 (4.95)
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C AMD K10	 5.15                 (5.00)
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C AMD bd1	 5.42                 (5.14)
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C AMD bobcat	 6.71                 (6.56)
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C Intel P4	13.5                 (12.75)
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C Intel core2	 6.20                 (6.16)
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C Intel NHM	 6.49                 (6.25)
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C Intel SBR	 7.75                 (7.57)
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C Intel atom	 8.77                 (8.54)
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C VIA nano	 6.60                 (6.20)
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C Numbers measured with: speed -CD -s16-64 -t48 mpn_gcd_1
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C ctz_table[n] is the number of trailing zeros on n, or MAXSHIFT if n==0.
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deflit(MAXSHIFT, 7)
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deflit(MASK, eval((m4_lshift(1,MAXSHIFT))-1))
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DEF_OBJECT(ctz_table,64)
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	.byte	MAXSHIFT
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forloop(i,1,MASK,
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`	.byte	m4_count_trailing_zeros(i)
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')
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END_OBJECT(ctz_table)
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C Threshold of when to call bmod when U is one limb.  Should be about
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C (time_in_cycles(bmod_1,1) + call_overhead) / (cycles/bit).
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define(`BMOD_THRES_LOG2', 8)
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C INPUT PARAMETERS
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define(`up',    `%rdi')
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define(`n',     `%rsi')
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define(`v0',    `%rdx')
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ABI_SUPPORT(DOS64)
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ABI_SUPPORT(STD64)
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IFDOS(`define(`STACK_ALLOC', 40)')
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IFSTD(`define(`STACK_ALLOC', 8)')
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ASM_START()
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	TEXT
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	ALIGN(16)
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PROLOGUE(mpn_gcd_1)
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	FUNC_ENTRY(3)
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	mov	(up), %rax		C U low limb
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	mov	$-1, R32(%rcx)
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	or	v0, %rax		C x | y
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L(twos):
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	inc	R32(%rcx)
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	shr	%rax
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	jnc	L(twos)
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	shr	R8(%rcx), v0
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	push	%rcx			C common twos
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L(divide_strip_y):
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	shr	v0
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	jnc	L(divide_strip_y)
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	adc	v0, v0
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	cmp	$1, n
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	jnz	L(reduce_nby1)
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C Both U and V are single limbs, reduce with bmod if u0 >> v0.
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	mov	(up), %r8
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	mov	%r8, %rax
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	shr	$BMOD_THRES_LOG2, %r8
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	cmp	%r8, v0
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	ja	L(noreduce)
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	push	v0
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	sub	$STACK_ALLOC, %rsp	C maintain ABI required rsp alignment
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L(bmod):
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IFDOS(`	mov	%rdx, %r8	')
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IFDOS(`	mov	%rsi, %rdx	')
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IFDOS(`	mov	%rdi, %rcx	')
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	ASSERT(nz, `test $15, %rsp')
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	CALL(	mpn_modexact_1_odd)
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L(reduced):
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	add	$STACK_ALLOC, %rsp
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	pop	%rdx
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L(noreduce):
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	LEA(	ctz_table, %rsi)
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	test	%rax, %rax
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	mov	%rax, %rcx
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	jnz	L(mid)
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	jmp	L(end)
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L(reduce_nby1):
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	push	v0
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	sub	$STACK_ALLOC, %rsp	C maintain ABI required rsp alignment
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	cmp	$BMOD_1_TO_MOD_1_THRESHOLD, n
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	jl	L(bmod)
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IFDOS(`	mov	%rdx, %r8	')
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IFDOS(`	mov	%rsi, %rdx	')
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IFDOS(`	mov	%rdi, %rcx	')
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	ASSERT(nz, `test $15, %rsp')
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	CALL(	mpn_mod_1)
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	jmp	L(reduced)
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	ALIGN(16)			C               K8    BC    P4    NHM   SBR
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L(top):	cmovc	%rcx, %rax		C if x-y < 0	0
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	cmovc	%rdi, %rdx		C use x,y-x	0
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L(mid):	and	$MASK, R32(%rcx)	C		0
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	movzbl	(%rsi,%rcx), R32(%rcx)	C		1
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	jz	L(shift_alot)		C		1
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	shr	R8(%rcx), %rax		C		3
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	mov	%rax, %rdi		C		4
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	mov	%rdx, %rcx		C		3
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	sub	%rax, %rcx		C		4
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	sub	%rdx, %rax		C		4
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	jnz	L(top)			C		5
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L(end):	pop	%rcx
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	mov	%rdx, %rax
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	shl	R8(%rcx), %rax
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	FUNC_EXIT()
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	ret
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L(shift_alot):
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	shr	$MAXSHIFT, %rax
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	mov	%rax, %rcx
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	jmp	L(mid)
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EPILOGUE()
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