Blame mpn/x86_64/bobcat/sqr_basecase.asm

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dnl  AMD64 mpn_sqr_basecase optimised for AMD bobcat.
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dnl  Copyright 2003-2005, 2007, 2008, 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/limb
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C AMD K8,K9	 4.5
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C AMD K10	 4.5
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C AMD bd1	 4.75
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C AMD bobcat	 5
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C Intel P4	17.7
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C Intel core2	 5.5
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C Intel NHM	 5.43
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C Intel SBR	 3.92
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C Intel atom	23
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C VIA nano	 5.63
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C This sqr_basecase is based on mul_1 and addmul_1, since these both run at the
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C multiply insn bandwidth, without any apparent loop branch exit pipeline
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C replays experienced on K8.  The structure is unusual: it falls into mul_1 in
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C the same way for all n, then it splits into 4 different wind-down blocks and
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C 4 separate addmul_1 loops.
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C
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C We have not tried using the same addmul_1 loops with a switch into feed-in
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C code, as we do in other basecase implementations.  Doing that could save
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C substantial code volume, but would also probably add some overhead.
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C TODO
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C  * Tune un < 4 code.
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C  * Perhaps implement a larger final corner (it is now 2 x 1).
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C  * Lots of space could be saved by replacing the "switch" code by gradual
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C    jumps out from mul_1 winddown code, perhaps with no added overhead.
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C  * Are the ALIGN(16) really necessary?  They add about 25 bytes of padding.
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ABI_SUPPORT(DOS64)
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ABI_SUPPORT(STD64)
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C Standard parameters
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define(`rp',              `%rdi')
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define(`up',              `%rsi')
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define(`un_param',        `%rdx')
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C Standard allocations
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define(`un',              `%rbx')
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define(`w0',              `%r8')
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define(`w1',              `%r9')
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define(`w2',              `%r10')
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define(`w3',              `%r11')
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define(`n',               `%rbp')
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define(`v0',              `%rcx')
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C Temp macro for allowing control over indexing.
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C Define to return $1 for more conservative ptr handling.
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define(`X',`$2')
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dnl define(`X',`$1')
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ASM_START()
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	TEXT
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	ALIGN(64)
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PROLOGUE(mpn_sqr_basecase)
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	FUNC_ENTRY(3)
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	mov	(up), %rax
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	cmp	$2, R32(un_param)
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	jae	L(ge2)
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	mul	%rax
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	mov	%rax, (rp)
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	mov	%rdx, 8(rp)
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	FUNC_EXIT()
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	ret
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L(ge2):	mov	(up), v0
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	jnz	L(g2)
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	mul	%rax
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	mov	%rax, (rp)
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	mov	8(up), %rax
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	mov	%rdx, w0
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	mul	v0
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	add	%rax, w0
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	mov	%rdx, w1
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	adc	$0, w1
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	mov	8(up), v0
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	mov	(up), %rax
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	mul	v0
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	add	%rax, w0
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	mov	w0, 8(rp)
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	mov	%rdx, w0		C CAUTION: r8 realloc
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	adc	$0, w0
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	mov	8(up), %rax
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	mul	v0
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	add	w1, w0
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	adc	$0, %rdx
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	add	w0, %rax
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	adc	$0, %rdx
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	mov	%rax, 16(rp)
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	mov	%rdx, 24(rp)
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	FUNC_EXIT()
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	ret
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L(g2):	cmp	$3, R32(un_param)
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	ja	L(g3)
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	mul	%rax
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	mov	%rax, (rp)
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	mov	%rdx, 8(rp)
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	mov	8(up), %rax
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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	(up), v0
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	mov	8(up), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	mov	16(up), %rax
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	mul	v0
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	xor	R32(w2), R32(w2)
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	add	%rax, w1
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	adc	%rdx, w2
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	mov	8(up), v0
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	mov	16(up), %rax
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	mul	v0
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	xor	R32(w3), R32(w3)
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	add	%rax, w2
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	adc	%rdx, w3
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	add	w0, w0
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	adc	w1, w1
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	adc	w2, w2
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	adc	w3, w3
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	mov	$0, R32(v0)
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	adc	v0, v0
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	add	w0, 8(rp)
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	adc	w1, 16(rp)
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	adc	w2, 24(rp)
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	adc	w3, 32(rp)
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	adc	v0, 40(rp)
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	FUNC_EXIT()
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	ret
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L(g3):	push	%rbx
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	push	%rbp
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	mov	8(up), %rax
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	lea	-24(rp,un_param,8), rp
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	lea	-24(up,un_param,8), up
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	neg	un_param
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	push	un_param		C for sqr_diag_addlsh1
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	lea	(un_param), un
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	lea	3(un_param), n
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	jmp	L(L3)
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	ALIGN(16)
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L(top):	mov	w0, -16(rp,n,8)
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	add	w1, w2
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	adc	$0, w3
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	mov	(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	mov	w2, -8(rp,n,8)
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	add	w3, w0
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	adc	$0, w1
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	mov	8(up,n,8), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	mov	w0, (rp,n,8)
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	add	w1, w2
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	adc	$0, w3
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L(L3):	mov	16(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	mov	w2, 8(rp,n,8)
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	add	w3, w0
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	adc	$0, w1
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	mov	24(up,n,8), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	add	$4, n
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	js	L(top)
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	mov	w0, -16(rp,n,8)
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	add	w1, w2
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	adc	$0, w3
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	test	n, n
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	jz	L(r2)
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	cmp	$2, R32(n)
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	ja	L(r3)
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	jz	L(r0)
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L(r1):	mov	X((up,n,8),8(up)), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	mov	w2, X(-8(rp,n,8),(rp))
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	add	w3, w0
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	adc	$0, w1
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	mov	X(8(up,n,8),16(up)), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	mov	w0, X((rp,n,8),8(rp))
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	add	w1, w2
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	adc	$0, w3
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	mov	w2, X(8(rp,n,8),16(rp))
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	mov	w3, X(16(rp,n,8),24(rp))
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	add	$5, un
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	jmp	L(to0)
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L(r2):	mov	X((up,n,8),(up)), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	mov	w2, X(-8(rp,n,8),-8(rp))
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	add	w3, w0
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	adc	$0, w1
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	mov	X(8(up,n,8),8(up)), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	mov	w0, X((rp,n,8),(rp))
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	add	w1, w2
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	adc	$0, w3
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	mov	X(16(up,n,8),16(up)), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	mov	w2, X(8(rp,n,8),8(rp))
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	add	w3, w0
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	adc	$0, w1
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	mov	w0, X(16(rp,n,8),16(rp))
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	adc	$0, w3
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	mov	w1, X(24(rp,n,8),24(rp))
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	add	$6, un
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	jmp	L(to1)
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L(r3):	mov	w2, X(-8(rp,n,8),16(rp))
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	mov	w3, X((rp,n,8),24(rp))
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	add	$3, un
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	jmp	L(to2)
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L(r0):	mov	X((up,n,8),16(up)), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	mov	w2, X(-8(rp,n,8),8(rp))
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	add	w3, w0
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	adc	$0, w1
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	mov	w0, X((rp,n,8),16(rp))
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	mov	w1, X(8(rp,n,8),24(rp))
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	add	$4, un
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C	jmp	L(to3)
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C fall through into main loop
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L(outer):
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	mov	un, n
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	mov	(up,un,8), v0
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	mov	8(up,un,8), %rax
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	lea	8(rp), rp
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	jmp	L(al3)
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	ALIGN(16)
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L(ta3):	add	w0, -16(rp,n,8)
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	adc	w1, w2
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	adc	$0, w3
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	mov	(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	add	w2, -8(rp,n,8)
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	adc	w3, w0
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	adc	$0, w1
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	mov	8(up,n,8), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	add	w0, (rp,n,8)
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	adc	w1, w2
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	adc	$0, w3
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L(al3):	mov	16(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	add	w2, 8(rp,n,8)
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	adc	w3, w0
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	adc	$0, w1
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	mov	24(up,n,8), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	add	$4, n
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	js	L(ta3)
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	add	w0, X(-16(rp,n,8),8(rp))
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	adc	w1, w2
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	adc	$0, w3
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	add	w2, X(-8(rp,n,8),16(rp))
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	adc	$0, w3
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	mov	w3, X((rp,n,8),24(rp))
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L(to2):	mov	un, n
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	cmp	$-4, R32(un)
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	jnc	L(end)
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	add	$4, un
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	mov	8(up,n,8), v0
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	mov	16(up,n,8), %rax
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	lea	8(rp), rp
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	jmp	L(al2)
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	ALIGN(16)
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L(ta2):	add	w0, -16(rp,n,8)
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	adc	w1, w2
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	adc	$0, w3
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	mov	(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	add	w2, -8(rp,n,8)
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	adc	w3, w0
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	adc	$0, w1
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	mov	8(up,n,8), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	add	w0, (rp,n,8)
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	adc	w1, w2
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	adc	$0, w3
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	mov	16(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	add	w2, 8(rp,n,8)
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	adc	w3, w0
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	adc	$0, w1
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L(al2):	mov	24(up,n,8), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	add	$4, n
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	js	L(ta2)
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	add	w0, X(-16(rp,n,8),8(rp))
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	adc	w1, w2
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	adc	$0, w3
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	add	w2, X(-8(rp,n,8),16(rp))
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	adc	$0, w3
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	mov	w3, X((rp,n,8),24(rp))
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L(to1):	mov	un, n
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	mov	-16(up,un,8), v0
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	mov	-8(up,un,8), %rax
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	lea	8(rp), rp
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	jmp	L(al1)
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	ALIGN(16)
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L(ta1):	add	w0, -16(rp,n,8)
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	adc	w1, w2
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	adc	$0, w3
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L(al1):	mov	(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
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	mov	%rdx, w1
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	add	w2, -8(rp,n,8)
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	adc	w3, w0
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	adc	$0, w1
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	mov	8(up,n,8), %rax
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	mul	v0
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	mov	%rax, w2
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	mov	%rdx, w3
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	add	w0, (rp,n,8)
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	adc	w1, w2
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	adc	$0, w3
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	mov	16(up,n,8), %rax
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	mul	v0
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	mov	%rax, w0
Packit 5c3484
	mov	%rdx, w1
Packit 5c3484
	add	w2, 8(rp,n,8)
Packit 5c3484
	adc	w3, w0
Packit 5c3484
	adc	$0, w1
Packit 5c3484
	mov	24(up,n,8), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w2
Packit 5c3484
	mov	%rdx, w3
Packit 5c3484
	add	$4, n
Packit 5c3484
	js	L(ta1)
Packit 5c3484
Packit 5c3484
	add	w0, X(-16(rp,n,8),8(rp))
Packit 5c3484
	adc	w1, w2
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	add	w2, X(-8(rp,n,8),16(rp))
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	mov	w3, X((rp,n,8),24(rp))
Packit 5c3484
Packit 5c3484
Packit 5c3484
L(to0):	mov	un, n
Packit 5c3484
	mov	-8(up,un,8), v0
Packit 5c3484
	mov	(up,un,8), %rax
Packit 5c3484
	lea	8(rp), rp
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w0
Packit 5c3484
	mov	%rdx, w1
Packit 5c3484
	jmp	L(al0)
Packit 5c3484
Packit 5c3484
	ALIGN(16)
Packit 5c3484
L(ta0):	add	w0, -16(rp,n,8)
Packit 5c3484
	adc	w1, w2
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	mov	(up,n,8), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w0
Packit 5c3484
	mov	%rdx, w1
Packit 5c3484
	add	w2, -8(rp,n,8)
Packit 5c3484
	adc	w3, w0
Packit 5c3484
	adc	$0, w1
Packit 5c3484
L(al0):	mov	8(up,n,8), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w2
Packit 5c3484
	mov	%rdx, w3
Packit 5c3484
	add	w0, (rp,n,8)
Packit 5c3484
	adc	w1, w2
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	mov	16(up,n,8), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w0
Packit 5c3484
	mov	%rdx, w1
Packit 5c3484
	add	w2, 8(rp,n,8)
Packit 5c3484
	adc	w3, w0
Packit 5c3484
	adc	$0, w1
Packit 5c3484
	mov	24(up,n,8), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w2
Packit 5c3484
	mov	%rdx, w3
Packit 5c3484
	add	$4, n
Packit 5c3484
	js	L(ta0)
Packit 5c3484
Packit 5c3484
	add	w0, X(-16(rp,n,8),8(rp))
Packit 5c3484
	adc	w1, w2
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	add	w2, X(-8(rp,n,8),16(rp))
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	mov	w3, X((rp,n,8),24(rp))
Packit 5c3484
	jmp	L(outer)
Packit 5c3484
Packit 5c3484
Packit 5c3484
L(end):	mov	X(8(up,un,8),(up)), v0
Packit 5c3484
	mov	X(16(up,un,8),8(up)), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w0
Packit 5c3484
	mov	%rdx, w1
Packit 5c3484
	mov	X(24(up,un,8),16(up)), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	mov	%rax, w2
Packit 5c3484
	mov	%rdx, w3
Packit 5c3484
	add	w0, X(24(rp,un,8),16(rp))
Packit 5c3484
	adc	w1, w2
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	add	w2, X(32(rp,un,8),24(rp))
Packit 5c3484
	adc	$0, w3
Packit 5c3484
	mov	X(16(up,un,8),8(up)), v0
Packit 5c3484
	mov	X(24(up,un,8),16(up)), %rax
Packit 5c3484
	mul	v0
Packit 5c3484
	add	%rax, w3
Packit 5c3484
	mov	w3, X(40(rp,un,8),32(rp))
Packit 5c3484
	adc	$0, %rdx
Packit 5c3484
	mov	%rdx, X(48(rp,un,8),40(rp))
Packit 5c3484
Packit 5c3484
Packit 5c3484
C sqr_diag_addlsh1
Packit 5c3484
Packit 5c3484
	lea	16(up), up
Packit 5c3484
	lea	40(rp), rp
Packit 5c3484
	pop	n
Packit 5c3484
	lea	2(n,n), n
Packit 5c3484
Packit 5c3484
	mov	(up,n,4), %rax
Packit 5c3484
	mul	%rax
Packit 5c3484
	xor	R32(w2), R32(w2)
Packit 5c3484
Packit 5c3484
	mov	8(rp,n,8), w0
Packit 5c3484
	mov	%rax, (rp,n,8)
Packit 5c3484
	jmp	L(lm)
Packit 5c3484
Packit 5c3484
	ALIGN(8)
Packit 5c3484
L(tsd):	add	%rbx, w0
Packit 5c3484
	adc	%rax, w1
Packit 5c3484
	mov	w0, -8(rp,n,8)
Packit 5c3484
	mov	8(rp,n,8), w0
Packit 5c3484
	mov	w1, (rp,n,8)
Packit 5c3484
L(lm):	mov	16(rp,n,8), w1
Packit 5c3484
	adc	w0, w0
Packit 5c3484
	adc	w1, w1
Packit 5c3484
	lea	(%rdx,w2), %rbx
Packit 5c3484
	mov	8(up,n,4), %rax
Packit 5c3484
	setc	R8(w2)
Packit 5c3484
	mul	%rax
Packit 5c3484
	add	$2, n
Packit 5c3484
	js	L(tsd)
Packit 5c3484
Packit 5c3484
L(esd):	add	%rbx, w0
Packit 5c3484
	adc	%rax, w1
Packit 5c3484
	mov	w0, X(-8(rp,n,8),-8(rp))
Packit 5c3484
	mov	w1, X((rp,n,8),(rp))
Packit 5c3484
	adc	w2, %rdx
Packit 5c3484
	mov	%rdx, X(8(rp,n,8),8(rp))
Packit 5c3484
Packit 5c3484
	pop	%rbp
Packit 5c3484
	pop	%rbx
Packit 5c3484
	FUNC_EXIT()
Packit 5c3484
	ret
Packit 5c3484
EPILOGUE()