xref: /src/external/lgpl3/gmp/dist/mpn/arm/v6/sqr_basecase.asm

dnl  ARM v6 mpn_sqr_basecase.

dnl  Contributed to the GNU project by Torbjrn Granlund.

dnl  Copyright 2012, 2013, 2015 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 Code structure:
C
C
C        m_2(0m4)        m_2(2m4)        m_2(1m4)        m_2(3m4)
C           |               |               |               |
C           |               |               |               |
C           |               |               |               |
C          \|/             \|/             \|/             \|/
C              ____________                   ____________
C             /            \                 /            \
C            \|/            \               \|/            \
C         am_2(3m4)       am_2(1m4)       am_2(0m4)       am_2(2m4)
C            \            /|\                \            /|\
C             \____________/                  \____________/
C                       \                        /
C                        \                      /
C                         \                    /
C                         cor3             cor2
C                            \              /
C                             \            /
C                            sqr_diag_addlsh1

C TODO
C  * Align more labels.
C  * Further tweak counter and updates in outer loops.  (This could save
C    perhaps 5n cycles).
C  * Avoid sub-with-lsl in outer loops.  We could keep n up-shifted, then
C    initialise loop counter i with a right shift.
C  * Try to use fewer register.  Perhaps coalesce r9 branch target and n_saved.
C    (This could save 2-3 cycles for n > 4.)
C  * Optimise sqr_diag_addlsh1 loop.  The current code uses old-style carry
C    propagation.
C  * Stop loops earlier suppressing writes of upper-most rp[] values.
C  * The addmul_2 loops here runs well on all cores, but mul_2 runs poorly
C    particularly on Cortex-A8.


define(`rp',      r0)
define(`up',      r1)
define(`n',       r2)

define(`v0',      r3)
define(`v1',      r6)
define(`i',       r8)
define(`n_saved', r14)
define(`cya',     r11)
define(`cyb',     r12)
define(`u0',      r7)
define(`u1',      r9)

ASM_START()
PROLOGUE(mpn_sqr_basecase)
	and	r12, n, #3
	cmp	n, #4
	addgt	r12, r12, #4
	add	pc, pc, r12, lsl #2
	nop
	b	L(4)
	b	L(1)
	b	L(2)
	b	L(3)
	b	L(0m4)
	b	L(1m4)
	b	L(2m4)
	b	L(3m4)


L(1m4):	push	{r4-r11, r14}
	mov	n_saved, n
	sub	i, n, #4
	sub	n, n, #2
	add	r10, pc, #L(am2_2m4)-.-8
	ldm	up, {v0,v1,u0}
	sub	up, up, #4
	mov	cyb, #0
	mov	r5, #0
	umull	r4, cya, v1, v0
	str	r4, [rp], #-12
	mov	r4, #0
	b	L(ko0)

L(3m4):	push	{r4-r11, r14}
	mov	n_saved, n
	sub	i, n, #4
	sub	n, n, #2
	add	r10, pc, #L(am2_0m4)-.-8
	ldm	up, {v0,v1,u0}
	add	up, up, #4
	mov	cyb, #0
	mov	r5, #0
	umull	r4, cya, v1, v0
	str	r4, [rp], #-4
	mov	r4, #0
	b	L(ko2)

L(2m4):	push	{r4-r11, r14}
	mov	n_saved, n
	sub	i, n, #4
	sub	n, n, #2
	add	r10, pc, #L(am2_3m4)-.-8
	ldm	up, {v0,v1,u1}
	mov	cyb, #0
	mov	r4, #0
	umull	r5, cya, v1, v0
	str	r5, [rp], #-8
	mov	r5, #0
	b	L(ko1)

L(0m4):	push	{r4-r11, r14}
	mov	n_saved, n
	sub	i, n, #4
	sub	n, n, #2
	add	r10, pc, #L(am2_1m4)-.-8
	ldm	up, {v0,v1,u1}
	mov	cyb, #0
	mov	r4, #0
	add	up, up, #8
	umull	r5, cya, v1, v0
	str	r5, [rp, #0]
	mov	r5, #0

L(top):	ldr	u0, [up, #4]
	umaal	r4, cya, u1, v0
	str	r4, [rp, #4]
	mov	r4, #0
	umaal	r5, cyb, u1, v1
L(ko2):	ldr	u1, [up, #8]
	umaal	r5, cya, u0, v0
	str	r5, [rp, #8]
	mov	r5, #0
	umaal	r4, cyb, u0, v1
L(ko1):	ldr	u0, [up, #12]
	umaal	r4, cya, u1, v0
	str	r4, [rp, #12]
	mov	r4, #0
	umaal	r5, cyb, u1, v1
L(ko0):	ldr	u1, [up, #16]!
	umaal	r5, cya, u0, v0
	str	r5, [rp, #16]!
	mov	r5, #0
	umaal	r4, cyb, u0, v1
	subs	i, i, #4
	bhi	L(top)

	umaal	r4, cya, u1, v0
	ldr	u0, [up, #4]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #4]
	umaal	r5, cya, u0, v0
	umaal	cya, cyb, u0, v1
	str	r5, [rp, #8]
	str	cya, [rp, #12]
	str	cyb, [rp, #16]

	add	up, up, #4
	sub	n, n, #1
	add	rp, rp, #8
	bx	r10

L(evnloop):
	subs	i, n, #6
	sub	n, n, #2
	blt	L(cor2)
	ldm	up, {v0,v1,u1}
	add	up, up, #8
	mov	cya, #0
	mov	cyb, #0
	ldr	r4, [rp, #-4]
	umaal	r4, cya, v1, v0
	str	r4, [rp, #-4]
	ldr	r4, [rp, #0]

	ALIGN(16)
L(ua2):	ldr	r5, [rp, #4]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #4]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #0]
	ldr	r4, [rp, #8]
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #8]
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #4]
	ldr	r5, [rp, #12]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #12]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #8]
	ldr	r4, [rp, #16]!
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #16]!
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #-4]
	subs	i, i, #4
	bhs	L(ua2)

	umaal	r4, cya, u1, v0
	umaal	cya, cyb, u1, v1
	str	r4, [rp, #0]
	str	cya, [rp, #4]
	str	cyb, [rp, #8]
L(am2_0m4):
	sub	rp, rp, n, lsl #2
	sub	up, up, n, lsl #2
	add	rp, rp, #8

	sub	i, n, #4
	sub	n, n, #2
	ldm	up, {v0,v1,u1}
	mov	cya, #0
	mov	cyb, #0
	ldr	r4, [rp, #4]
	umaal	r4, cya, v1, v0
	str	r4, [rp, #4]
	ldr	r4, [rp, #8]
	b	L(lo0)

	ALIGN(16)
L(ua0):	ldr	r5, [rp, #4]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #4]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #0]
	ldr	r4, [rp, #8]
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #8]
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #4]
L(lo0):	ldr	r5, [rp, #12]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #12]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #8]
	ldr	r4, [rp, #16]!
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #16]!
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #-4]
	subs	i, i, #4
	bhs	L(ua0)

	umaal	r4, cya, u1, v0
	umaal	cya, cyb, u1, v1
	str	r4, [rp, #0]
	str	cya, [rp, #4]
	str	cyb, [rp, #8]
L(am2_2m4):
	sub	rp, rp, n, lsl #2
	sub	up, up, n, lsl #2
	add	rp, rp, #16
	b	L(evnloop)


L(oddloop):
	sub	i, n, #5
	sub	n, n, #2
	ldm	up, {v0,v1,u0}
	mov	cya, #0
	mov	cyb, #0
	ldr	r5, [rp, #0]
	umaal	r5, cya, v1, v0
	str	r5, [rp, #0]
	ldr	r5, [rp, #4]
	add	up, up, #4
	b	L(lo1)

	ALIGN(16)
L(ua1):	ldr	r5, [rp, #4]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #4]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #0]
L(lo1):	ldr	r4, [rp, #8]
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #8]
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #4]
	ldr	r5, [rp, #12]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #12]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #8]
	ldr	r4, [rp, #16]!
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #16]!
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #-4]
	subs	i, i, #4
	bhs	L(ua1)

	umaal	r4, cya, u1, v0
	umaal	cya, cyb, u1, v1
	str	r4, [rp, #0]
	str	cya, [rp, #4]
	str	cyb, [rp, #8]
L(am2_3m4):
	sub	rp, rp, n, lsl #2
	sub	up, up, n, lsl #2
	add	rp, rp, #4

	subs	i, n, #3
	beq	L(cor3)
	sub	n, n, #2
	ldm	up, {v0,v1,u0}
	mov	cya, #0
	mov	cyb, #0
	ldr	r5, [rp, #8]
	sub	up, up, #4
	umaal	r5, cya, v1, v0
	str	r5, [rp, #8]
	ldr	r5, [rp, #12]
	b	L(lo3)

	ALIGN(16)
L(ua3):	ldr	r5, [rp, #4]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #4]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #0]
	ldr	r4, [rp, #8]
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #8]
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #4]
	ldr	r5, [rp, #12]
	umaal	r4, cya, u1, v0
	ldr	u0, [up, #12]
	umaal	r5, cyb, u1, v1
	str	r4, [rp, #8]
L(lo3):	ldr	r4, [rp, #16]!
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #16]!
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #-4]
	subs	i, i, #4
	bhs	L(ua3)

	umaal	r4, cya, u1, v0
	umaal	cya, cyb, u1, v1
	str	r4, [rp, #0]
	str	cya, [rp, #4]
	str	cyb, [rp, #8]
L(am2_1m4):
	sub	rp, rp, n, lsl #2
	sub	up, up, n, lsl #2
	add	rp, rp, #12
	b	L(oddloop)


L(cor3):ldm	up, {v0,v1,u0}
	ldr	r5, [rp, #8]
	mov	cya, #0
	mov	cyb, #0
	umaal	r5, cya, v1, v0
	str	r5, [rp, #8]
	ldr	r5, [rp, #12]
	ldr	r4, [rp, #16]
	umaal	r5, cya, u0, v0
	ldr	u1, [up, #12]
	umaal	r4, cyb, u0, v1
	str	r5, [rp, #12]
	umaal	r4, cya, u1, v0
	umaal	cya, cyb, u1, v1
	str	r4, [rp, #16]
	str	cya, [rp, #20]
	str	cyb, [rp, #24]
	add	up, up, #16
	mov	cya, cyb
	adds	rp, rp, #36		C clear cy
	mov	cyb, #0
	umaal	cya, cyb, u1, u0
	b	L(sqr_diag_addlsh1)

L(cor2):
	ldm	up!, {v0,v1,u0}
	mov	r4, cya
	mov	r5, cyb
	mov	cya, #0
	umaal	r4, cya, v1, v0
	mov	cyb, #0
	umaal	r5, cya, u0, v0
	strd	r4, r5, [rp, #-4]
	umaal	cya, cyb, u0, v1
	add	rp, rp, #16
C	b	L(sqr_diag_addlsh1)


define(`w0',  r6)
define(`w1',  r7)
define(`w2',  r8)
define(`rbx', r9)

L(sqr_diag_addlsh1):
	str	cya, [rp, #-12]
	str	cyb, [rp, #-8]
	sub	n, n_saved, #1
	sub	up, up, n_saved, lsl #2
	sub	rp, rp, n_saved, lsl #3
	ldr	r3, [up], #4
	umull	w1, r5, r3, r3
	mov	w2, #0
	mov	r10, #0
C	cmn	r0, #0			C clear cy (already clear)
	b	L(lm)

L(tsd):	adds	w0, w0, rbx
	adcs	w1, w1, r4
	str	w0, [rp, #0]
L(lm):	ldr	w0, [rp, #4]
	str	w1, [rp, #4]
	ldr	w1, [rp, #8]!
	add	rbx, r5, w2
	adcs	w0, w0, w0
	ldr	r3, [up], #4
	adcs	w1, w1, w1
	adc	w2, r10, r10
	umull	r4, r5, r3, r3
	subs	n, n, #1
	bne	L(tsd)

	adds	w0, w0, rbx
	adcs	w1, w1, r4
	adc	w2, r5, w2
	stm	rp, {w0,w1,w2}

	pop	{r4-r11, pc}


C Straight line code for n <= 4

L(1):	ldr	r3, [up, #0]
	umull	r1, r2, r3, r3
	stm	rp, {r1,r2}
	bx	r14

L(2):	push	{r4-r5}
	ldm	up, {r5,r12}
	umull	r1, r2, r5, r5
	umull	r3, r4, r12, r12
	umull	r5, r12, r5, r12
	adds	r5, r5, r5
	adcs	r12, r12, r12
	adc	r4, r4, #0
	adds	r2, r2, r5
	adcs	r3, r3, r12
	adc	r4, r4, #0
	stm	rp, {r1,r2,r3,r4}
	pop	{r4-r5}
	bx	r14

L(3):	push	{r4-r11}
	ldm	up, {r7,r8,r9}
	umull	r1, r2, r7, r7
	umull	r3, r4, r8, r8
	umull	r5, r6, r9, r9
	umull	r10, r11, r7, r8
	mov	r12, #0
	umlal	r11, r12, r7, r9
	mov	r7, #0
	umlal	r12, r7, r8, r9
	adds	r10, r10, r10
	adcs	r11, r11, r11
	adcs	r12, r12, r12
	adcs	r7, r7, r7
	adc	r6, r6, #0
	adds	r2, r2, r10
	adcs	r3, r3, r11
	adcs	r4, r4, r12
	adcs	r5, r5, r7
	adc	r6, r6, #0
	stm	rp, {r1,r2,r3,r4,r5,r6}
	pop	{r4-r11}
	bx	r14

L(4):	push	{r4-r11, r14}
	ldm	up, {r9,r10,r11,r12}
	umull	r1, r2, r9, r9
	umull	r3, r4, r10, r10
	umull	r5, r6, r11, r11
	umull	r7, r8, r12, r12
	stm	rp, {r1,r2,r3,r4,r5,r6,r7}
	umull	r1, r2, r9, r10
	mov	r3, #0
	umlal	r2, r3, r9, r11
	mov	r4, #0
	umlal	r3, r4, r9, r12
	mov	r5, #0
	umlal	r3, r5, r10, r11
	umaal	r4, r5, r10, r12
	mov	r6, #0
	umlal	r5, r6, r11, r12
	adds	r1, r1, r1
	adcs	r2, r2, r2
	adcs	r3, r3, r3
	adcs	r4, r4, r4
	adcs	r5, r5, r5
	adcs	r6, r6, r6
	add	rp, rp, #4
	adc	r7, r8, #0
	ldm	rp, {r8,r9,r10,r11,r12,r14}
	adds	r1, r1, r8
	adcs	r2, r2, r9
	adcs	r3, r3, r10
	adcs	r4, r4, r11
	adcs	r5, r5, r12
	adcs	r6, r6, r14
	adc	r7, r7, #0
	stm	rp, {r1,r2,r3,r4,r5,r6,r7}
	pop	{r4-r11, pc}
EPILOGUE()