dnl  AMD64 mpn_sqr_basecase.

dnl  Contributed to the GNU project by Torbjorn Granlund.

dnl  Copyright 2008, 2009, 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 The inner loops of this code are the result of running a code generation and

C optimization tool suite written by David Harvey and Torbjorn Granlund.

C NOTES

C   * There is a major stupidity in that we call mpn_mul_1 initially, for a

C     large trip count.  Instead, we should follow the generic/sqr_basecase.c

C     code which uses addmul_2s from the start, conditionally leaving a 1x1

C     multiply to the end.  (In assembly code, one would stop invoking

C     addmul_2s loops when perhaps 3x2s respectively a 2x2s remains.)

C   * Another stupidity is in the sqr_diag_addlsh1 code.  It does not need to

C     save/restore carry, instead it can propagate into the high product word.

C   * Align more labels, should shave off a few cycles.

C   * We can safely use 32-bit size operations, since operands with (2^32)

C     limbs will lead to non-termination in practice.

C   * The jump table could probably be optimized, at least for non-pic.

C   * The special code for n <= 4 was quickly written.  It is probably too

C     large and unnecessarily slow.

C   * Consider combining small cases code so that the n=k-1 code jumps into the

C     middle of the n=k code.

C   * Avoid saving registers for small cases code.

C   * Needed variables:

C    n   r11  input size

C    i   r8   work left, initially n

C    j   r9   inner loop count

C        r15  unused

C    v0  r13

C    v1  r14

C    rp  rdi

C    up  rsi

C    w0  rbx

C    w1  rcx

C    w2  rbp

C    w3  r10

C    tp  r12

C    lo  rax

C    hi  rdx

C        rsp

C INPUT PARAMETERS

define(`rp',	  `%rdi')

define(`up',	  `%rsi')

define(`n_param', `%rdx')

define(`n',	`%r11')

define(`tp',	`%r12')

define(`i',	`%r8')

define(`j',	`%r9')

define(`v0',	`%r13')

define(`v1',	`%r14')

define(`w0',	`%rbx')

define(`w1',	`%rcx')

define(`w2',	`%rbp')

define(`w3',	`%r10')

ABI_SUPPORT(DOS64)

ABI_SUPPORT(STD64)

ASM_START()

	TEXT

	ALIGN(16)

PROLOGUE(mpn_sqr_basecase)

	FUNC_ENTRY(3)

	mov	R32(n_param), R32(%rcx)

	mov	R32(n_param), R32(n)		C free original n register (rdx)

	add	$-40, %rsp

	and	$3, R32(%rcx)

	cmp	$4, R32(n_param)

	lea	4(%rcx), %r8

	mov	%rbx, 32(%rsp)

	mov	%rbp, 24(%rsp)

	mov	%r12, 16(%rsp)

	mov	%r13, 8(%rsp)

	mov	%r14, (%rsp)

	cmovg	%r8, %rcx

	lea	L(tab)(%rip), %rax

ifdef(`PIC',

`	movslq	(%rax,%rcx,4), %r10

	add	%r10, %rax

	jmp	*%rax

',`

	jmp	*(%rax,%rcx,8)

')

	JUMPTABSECT

	ALIGN(8)

L(tab):	JMPENT(	L(4), L(tab))

	JMPENT(	L(1), L(tab))

	JMPENT(	L(2), L(tab))

	JMPENT(	L(3), L(tab))

	JMPENT(	L(0m4), L(tab))

	JMPENT(	L(1m4), L(tab))

	JMPENT(	L(2m4), L(tab))

	JMPENT(	L(3m4), L(tab))

	TEXT

L(1):	CFPROT_ENDBR

	mov	(up), %rax

	mul	%rax

	add	$40, %rsp

	mov	%rax, (rp)

	mov	%rdx, 8(rp)

	FUNC_EXIT()

	ret

L(2):	CFPROT_ENDBR

	mov	(up), %rax

	mov	%rax, %r8

	mul	%rax

	mov	8(up), %r11

	mov	%rax, (rp)

	mov	%r11, %rax

	mov	%rdx, %r9

	mul	%rax

	add	$40, %rsp

	mov	%rax, %r10

	mov	%r11, %rax

	mov	%rdx, %r11

	mul	%r8

	xor	%r8, %r8

	add	%rax, %r9

	adc	%rdx, %r10

	adc	%r8, %r11

	add	%rax, %r9

	mov	%r9, 8(rp)

	adc	%rdx, %r10

	mov	%r10, 16(rp)

	adc	%r8, %r11

	mov	%r11, 24(rp)

	FUNC_EXIT()

	ret

L(3):	CFPROT_ENDBR

	mov	(up), %rax

	mov	%rax, %r10

	mul	%rax

	mov	8(up), %r11

	mov	%rax, (rp)

	mov	%r11, %rax

	mov	%rdx, 8(rp)

	mul	%rax

	mov	16(up), %rcx

	mov	%rax, 16(rp)

	mov	%rcx, %rax

	mov	%rdx, 24(rp)

	mul	%rax

	mov	%rax, 32(rp)

	mov	%rdx, 40(rp)

	mov	%r11, %rax

	mul	%r10

	mov	%rax, %r8

	mov	%rcx, %rax

	mov	%rdx, %r9

	mul	%r10

	xor	%r10, %r10

	add	%rax, %r9

	mov	%r11, %rax

	mov	%r10, %r11

	adc	%rdx, %r10

	mul	%rcx

	add	$40, %rsp

	add	%rax, %r10

	adc	%r11, %rdx

	add	%r8, %r8

	adc	%r9, %r9

	adc	%r10, %r10

	adc	%rdx, %rdx

	adc	%r11, %r11

	add	%r8, 8(rp)

	adc	%r9, 16(rp)

	adc	%r10, 24(rp)

	adc	%rdx, 32(rp)

	adc	%r11, 40(rp)

	FUNC_EXIT()

	ret

L(4):	CFPROT_ENDBR

	mov	(up), %rax

	mov	%rax, %r11

	mul	%rax

	mov	8(up), %rbx

	mov	%rax, (rp)

	mov	%rbx, %rax

	mov	%rdx, 8(rp)

	mul	%rax

	mov	%rax, 16(rp)

	mov	%rdx, 24(rp)

	mov	16(up), %rax

	mul	%rax

	mov	%rax, 32(rp)

	mov	%rdx, 40(rp)

	mov	24(up), %rax

	mul	%rax

	mov	%rax, 48(rp)

	mov	%rbx, %rax

	mov	%rdx, 56(rp)

	mul	%r11

	add	$32, %rsp

	mov	%rax, %r8

	mov	%rdx, %r9

	mov	16(up), %rax

	mul	%r11

	xor	%r10, %r10

	add	%rax, %r9

	adc	%rdx, %r10

	mov	24(up), %rax

	mul	%r11

	xor	%r11, %r11

	add	%rax, %r10

	adc	%rdx, %r11

	mov	16(up), %rax

	mul	%rbx

	xor	%rcx, %rcx

	add	%rax, %r10

	adc	%rdx, %r11

	adc	$0, %rcx

	mov	24(up), %rax

	mul	%rbx

	pop	%rbx

	add	%rax, %r11

	adc	%rdx, %rcx

	mov	16(up), %rdx

	mov	24(up), %rax

	mul	%rdx

	add	%rax, %rcx

	adc	$0, %rdx

	add	%r8, %r8

	adc	%r9, %r9

	adc	%r10, %r10

	adc	%r11, %r11

	adc	%rcx, %rcx

	mov	$0, R32(%rax)

	adc	%rdx, %rdx

	adc	%rax, %rax

	add	%r8, 8(rp)

	adc	%r9, 16(rp)

	adc	%r10, 24(rp)

	adc	%r11, 32(rp)

	adc	%rcx, 40(rp)

	adc	%rdx, 48(rp)

	adc	%rax, 56(rp)

	FUNC_EXIT()

	ret

L(0m4):	CFPROT_ENDBR

	lea	-16(rp,n,8), tp		C point tp in middle of result operand

	mov	(up), v0

	mov	8(up), %rax

	lea	(up,n,8), up		C point up at end of input operand

	lea	-4(n), i

C Function mpn_mul_1_m3(tp, up - i, i, up[-i - 1])

	xor	R32(j), R32(j)

	sub	n, j

	mul	v0

	xor	R32(w2), R32(w2)

	mov	%rax, w0

	mov	16(up,j,8), %rax

	mov	%rdx, w3

	jmp	L(L3)

	ALIGN(16)

L(mul_1_m3_top):

	add	%rax, w2

	mov	w3, (tp,j,8)

	mov	(up,j,8), %rax

	adc	%rdx, w1

	xor	R32(w0), R32(w0)

	mul	v0

	xor	R32(w3), R32(w3)

	mov	w2, 8(tp,j,8)

	add	%rax, w1

	adc	%rdx, w0

	mov	8(up,j,8), %rax

	mov	w1, 16(tp,j,8)

	xor	R32(w2), R32(w2)

	mul	v0

	add	%rax, w0

	mov	16(up,j,8), %rax

	adc	%rdx, w3

L(L3):	xor	R32(w1), R32(w1)

	mul	v0

	add	%rax, w3

	mov	24(up,j,8), %rax

	adc	%rdx, w2

	mov	w0, 24(tp,j,8)

	mul	v0

	add	$4, j

	js	L(mul_1_m3_top)

	add	%rax, w2

	mov	w3, (tp)

	adc	%rdx, w1

	mov	w2, 8(tp)

	mov	w1, 16(tp)

	lea	eval(2*8)(tp), tp	C tp += 2

	lea	-8(up), up

	jmp	L(dowhile)

L(1m4):	CFPROT_ENDBR

	lea	8(rp,n,8), tp		C point tp in middle of result operand

	mov	(up), v0		C u0

	mov	8(up), %rax		C u1

	lea	8(up,n,8), up		C point up at end of input operand

	lea	-3(n), i

C Function mpn_mul_2s_m0(tp, up - i, i, up - i - 1)

	lea	-3(n), j

	neg	j

	mov	%rax, v1		C u1

	mul	v0			C u0 * u1

	mov	%rdx, w1

	xor	R32(w2), R32(w2)

	mov	%rax, 8(rp)

	jmp	L(m0)

	ALIGN(16)

L(mul_2_m0_top):

	mul	v1

	add	%rax, w0

	adc	%rdx, w1

	mov	-24(up,j,8), %rax

	mov	$0, R32(w2)

	mul	v0

	add	%rax, w0

	mov	-24(up,j,8), %rax

	adc	%rdx, w1

	adc	$0, R32(w2)

	mul	v1			C v1 * u0

	add	%rax, w1

	mov	w0, -24(tp,j,8)

	adc	%rdx, w2

L(m0):	mov	-16(up,j,8), %rax	C u2, u6 ...

	mul	v0			C u0 * u2

	mov	$0, R32(w3)

	add	%rax, w1

	adc	%rdx, w2

	mov	-16(up,j,8), %rax

	adc	$0, R32(w3)

	mov	$0, R32(w0)

	mov	w1, -16(tp,j,8)

	mul	v1

	add	%rax, w2

	mov	-8(up,j,8), %rax

	adc	%rdx, w3

	mov	$0, R32(w1)

	mul	v0

	add	%rax, w2

	mov	-8(up,j,8), %rax

	adc	%rdx, w3

	adc	$0, R32(w0)

	mul	v1

	add	%rax, w3

	mov	w2, -8(tp,j,8)

	adc	%rdx, w0

L(m2x):	mov	(up,j,8), %rax

	mul	v0

	add	%rax, w3

	adc	%rdx, w0

	adc	$0, R32(w1)

	add	$4, j

	mov	-32(up,j,8), %rax

	mov	w3, -32(tp,j,8)

	js	L(mul_2_m0_top)

	mul	v1

	add	%rax, w0

	adc	%rdx, w1

	mov	w0, -8(tp)

	mov	w1, (tp)

	lea	-16(up), up

	lea	eval(3*8-24)(tp), tp	C tp += 3

	jmp	L(dowhile_end)

L(2m4):	CFPROT_ENDBR

	lea	-16(rp,n,8), tp		C point tp in middle of result operand

	mov	(up), v0

	mov	8(up), %rax

	lea	(up,n,8), up		C point up at end of input operand

	lea	-4(n), i

C Function mpn_mul_1_m1(tp, up - (i - 1), i - 1, up[-i])

	lea	-2(n), j

	neg	j

	mul	v0

	mov	%rax, w2

	mov	(up,j,8), %rax

	mov	%rdx, w1

	jmp	L(L1)

	ALIGN(16)

L(mul_1_m1_top):

	add	%rax, w2

	mov	w3, (tp,j,8)

	mov	(up,j,8), %rax

	adc	%rdx, w1

L(L1):	xor	R32(w0), R32(w0)

	mul	v0

	xor	R32(w3), R32(w3)

	mov	w2, 8(tp,j,8)

	add	%rax, w1

	adc	%rdx, w0

	mov	8(up,j,8), %rax

	mov	w1, 16(tp,j,8)

	xor	R32(w2), R32(w2)

	mul	v0

	add	%rax, w0

	mov	16(up,j,8), %rax

	adc	%rdx, w3

	xor	R32(w1), R32(w1)

	mul	v0

	add	%rax, w3

	mov	24(up,j,8), %rax

	adc	%rdx, w2

	mov	w0, 24(tp,j,8)

	mul	v0

	add	$4, j

	js	L(mul_1_m1_top)

	add	%rax, w2

	mov	w3, (tp)

	adc	%rdx, w1

	mov	w2, 8(tp)

	mov	w1, 16(tp)

	lea	eval(2*8)(tp), tp	C tp += 2

	lea	-8(up), up

	jmp	L(dowhile_mid)

L(3m4):	CFPROT_ENDBR

	lea	8(rp,n,8), tp		C point tp in middle of result operand

	mov	(up), v0		C u0

	mov	8(up), %rax		C u1

	lea	8(up,n,8), up		C point up at end of input operand

	lea	-5(n), i

C Function mpn_mul_2s_m2(tp, up - i + 1, i - 1, up - i)

	lea	-1(n), j

	neg	j

	mov	%rax, v1		C u1

	mul	v0			C u0 * u1

	mov	%rdx, w3

	xor	R32(w0), R32(w0)

	xor	R32(w1), R32(w1)

	mov	%rax, 8(rp)

	jmp	L(m2)

	ALIGN(16)

L(mul_2_m2_top):

	mul	v1

	add	%rax, w0

	adc	%rdx, w1

	mov	-24(up,j,8), %rax

	mov	$0, R32(w2)

	mul	v0

	add	%rax, w0

	mov	-24(up,j,8), %rax

	adc	%rdx, w1

	adc	$0, R32(w2)

	mul	v1			C v1 * u0

	add	%rax, w1

	mov	w0, -24(tp,j,8)

	adc	%rdx, w2

	mov	-16(up,j,8), %rax

	mul	v0

	mov	$0, R32(w3)

	add	%rax, w1

	adc	%rdx, w2

	mov	-16(up,j,8), %rax

	adc	$0, R32(w3)

	mov	$0, R32(w0)

	mov	w1, -16(tp,j,8)

	mul	v1

	add	%rax, w2

	mov	-8(up,j,8), %rax

	adc	%rdx, w3

	mov	$0, R32(w1)

	mul	v0

	add	%rax, w2

	mov	-8(up,j,8), %rax

	adc	%rdx, w3

	adc	$0, R32(w0)

	mul	v1

	add	%rax, w3

	mov	w2, -8(tp,j,8)

	adc	%rdx, w0

L(m2):	mov	(up,j,8), %rax

	mul	v0

	add	%rax, w3

	adc	%rdx, w0

	adc	$0, R32(w1)

	add	$4, j

	mov	-32(up,j,8), %rax

	mov	w3, -32(tp,j,8)

	js	L(mul_2_m2_top)

	mul	v1

	add	%rax, w0

	adc	%rdx, w1

	mov	w0, -8(tp)

	mov	w1, (tp)

	lea	-16(up), up

	jmp	L(dowhile_mid)

L(dowhile):

C Function mpn_addmul_2s_m2(tp, up - (i - 1), i - 1, up - i)

	lea	4(i), j

	neg	j

	mov	16(up,j,8), v0

	mov	24(up,j,8), v1

	mov	24(up,j,8), %rax

	mul	v0

	xor	R32(w3), R32(w3)

	add	%rax, 24(tp,j,8)

	adc	%rdx, w3

	xor	R32(w0), R32(w0)

	xor	R32(w1), R32(w1)

	jmp	L(am2)

	ALIGN(16)

L(addmul_2_m2_top):

	add	w3, (tp,j,8)

	adc	%rax, w0

	mov	8(up,j,8), %rax

	adc	%rdx, w1

	mov	$0, R32(w2)

	mul	v0

	add	%rax, w0

	mov	8(up,j,8), %rax

	adc	%rdx, w1

	adc	$0, R32(w2)

	mul	v1				C v1 * u0

	add	w0, 8(tp,j,8)

	adc	%rax, w1

	adc	%rdx, w2

	mov	16(up,j,8), %rax

	mov	$0, R32(w3)

	mul	v0				C v0 * u1

	add	%rax, w1

	mov	16(up,j,8), %rax

	adc	%rdx, w2

	adc	$0, R32(w3)

	mul	v1				C v1 * u1

	add	w1, 16(tp,j,8)

	adc	%rax, w2

	mov	24(up,j,8), %rax

	adc	%rdx, w3

	mul	v0

	mov	$0, R32(w0)

	add	%rax, w2

	adc	%rdx, w3

	mov	$0, R32(w1)

	mov	24(up,j,8), %rax

	adc	$0, R32(w0)

	mul	v1

	add	w2, 24(tp,j,8)

	adc	%rax, w3

	adc	%rdx, w0

L(am2):	mov	32(up,j,8), %rax

	mul	v0

	add	%rax, w3

	mov	32(up,j,8), %rax

	adc	%rdx, w0

	adc	$0, R32(w1)

	mul	v1

	add	$4, j

	js	L(addmul_2_m2_top)

	add	w3, (tp)

	adc	%rax, w0

	adc	%rdx, w1

	mov	w0, 8(tp)

	mov	w1, 16(tp)

	lea	eval(2*8)(tp), tp	C tp += 2

	add	$-2, R32(i)		C i -= 2

L(dowhile_mid):

C Function mpn_addmul_2s_m0(tp, up - (i - 1), i - 1, up - i)

	lea	2(i), j

	neg	j

	mov	(up,j,8), v0

	mov	8(up,j,8), v1

	mov	8(up,j,8), %rax

	mul	v0

	xor	R32(w1), R32(w1)

	add	%rax, 8(tp,j,8)

	adc	%rdx, w1

	xor	R32(w2), R32(w2)

	jmp	L(20)

	ALIGN(16)

L(addmul_2_m0_top):

	add	w3, (tp,j,8)

	adc	%rax, w0

	mov	8(up,j,8), %rax

	adc	%rdx, w1

	mov	$0, R32(w2)

	mul	v0

	add	%rax, w0

	mov	8(up,j,8), %rax

	adc	%rdx, w1

	adc	$0, R32(w2)

	mul	v1				C v1 * u0

	add	w0, 8(tp,j,8)

	adc	%rax, w1

	adc	%rdx, w2

L(20):	mov	16(up,j,8), %rax

	mov	$0, R32(w3)

	mul	v0				C v0 * u1

	add	%rax, w1

	mov	16(up,j,8), %rax

	adc	%rdx, w2

	adc	$0, R32(w3)

	mul	v1				C v1 * u1

	add	w1, 16(tp,j,8)

	adc	%rax, w2

	mov	24(up,j,8), %rax

	adc	%rdx, w3

	mul	v0

	mov	$0, R32(w0)

	add	%rax, w2

	adc	%rdx, w3

	mov	$0, R32(w1)

	mov	24(up,j,8), %rax

	adc	$0, R32(w0)

	mul	v1

	add	w2, 24(tp,j,8)

	adc	%rax, w3

	adc	%rdx, w0

	mov	32(up,j,8), %rax

	mul	v0

	add	%rax, w3

	mov	32(up,j,8), %rax

	adc	%rdx, w0

	adc	$0, R32(w1)

	mul	v1

	add	$4, j

	js	L(addmul_2_m0_top)

	add	w3, (tp)

	adc	%rax, w0

	adc	%rdx, w1

	mov	w0, 8(tp)

	mov	w1, 16(tp)

	lea	eval(2*8)(tp), tp	C tp += 2

L(dowhile_end):

	add	$-2, R32(i)		C i -= 2

	jne	L(dowhile)

C Function mpn_addmul_2s_2

	mov	-16(up), v0

	mov	-8(up), v1

	mov	-8(up), %rax

	mul	v0

	xor	R32(w3), R32(w3)

	add	%rax, -8(tp)

	adc	%rdx, w3

	xor	R32(w0), R32(w0)

	xor	R32(w1), R32(w1)

	mov	(up), %rax

	mul	v0

	add	%rax, w3

	mov	(up), %rax

	adc	%rdx, w0

	mul	v1

	add	w3, (tp)

	adc	%rax, w0

	adc	%rdx, w1

	mov	w0, 8(tp)

	mov	w1, 16(tp)

C Function mpn_sqr_diag_addlsh1

	lea	-4(n,n), j

	mov	8(rp), %r11

	lea	-8(up), up

	lea	(rp,j,8), rp

	neg	j

	mov	(up,j,4), %rax

	mul	%rax

	test	$2, R8(j)

	jnz	L(odd)

L(evn):	add	%r11, %r11

	sbb	R32(%rbx), R32(%rbx)		C save CF

	add	%rdx, %r11

	mov	%rax, (rp,j,8)

	jmp	L(d0)

L(odd):	add	%r11, %r11

	sbb	R32(%rbp), R32(%rbp)		C save CF

	add	%rdx, %r11

	mov	%rax, (rp,j,8)

	lea	-2(j), j

	jmp	L(d1)

	ALIGN(16)

L(top):	mov	(up,j,4), %rax

	mul	%rax

	add	R32(%rbp), R32(%rbp)		C restore carry

	adc	%rax, %r10

	adc	%rdx, %r11

	mov	%r10, (rp,j,8)

L(d0):	mov	%r11, 8(rp,j,8)

	mov	16(rp,j,8), %r10

	adc	%r10, %r10

	mov	24(rp,j,8), %r11

	adc	%r11, %r11

	nop

	sbb	R32(%rbp), R32(%rbp)		C save CF

	mov	8(up,j,4), %rax

	mul	%rax

	add	R32(%rbx), R32(%rbx)		C restore carry

	adc	%rax, %r10

	adc	%rdx, %r11

	mov	%r10, 16(rp,j,8)

L(d1):	mov	%r11, 24(rp,j,8)

	mov	32(rp,j,8), %r10

	adc	%r10, %r10

	mov	40(rp,j,8), %r11

	adc	%r11, %r11

	sbb	R32(%rbx), R32(%rbx)		C save CF

	add	$4, j

	js	L(top)

	mov	(up), %rax

	mul	%rax

	add	R32(%rbp), R32(%rbp)		C restore carry

	adc	%rax, %r10

	adc	%rdx, %r11

	mov	%r10, (rp)

	mov	%r11, 8(rp)

	mov	16(rp), %r10

	adc	%r10, %r10

	sbb	R32(%rbp), R32(%rbp)		C save CF

	neg	R32(%rbp)

	mov	8(up), %rax

	mul	%rax

	add	R32(%rbx), R32(%rbx)		C restore carry

	adc	%rax, %r10

	adc	%rbp, %rdx

	mov	%r10, 16(rp)

	mov	%rdx, 24(rp)

	pop	%r14

	pop	%r13

	pop	%r12

	pop	%rbp

	pop	%rbx

	FUNC_EXIT()

	ret

EPILOGUE()

CF_PROT