// Copyright 2013 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// +build !math_big_pure_go

#include "textflag.h"

// This file provides fast assembly versions for the elementary
// arithmetic operations on vectors implemented in arith.go.

// TODO: Consider re-implementing using Advanced SIMD
// once the assembler supports those instructions.

// func mulWW(x, y Word) (z1, z0 Word)
TEXT ·mulWW(SB),NOSPLIT,$0
	MOVD	x+0(FP), R0
	MOVD	y+8(FP), R1
	MUL	R0, R1, R2
	UMULH	R0, R1, R3
	MOVD	R3, z1+16(FP)
	MOVD	R2, z0+24(FP)
	RET


// func divWW(x1, x0, y Word) (q, r Word)
TEXT ·divWW(SB),NOSPLIT,$0
	B	·divWW_g(SB) // ARM64 has no multiword division


// func addVV(z, x, y []Word) (c Word)
TEXT ·addVV(SB),NOSPLIT,$0
	MOVD	z_len+8(FP), R0
	MOVD	x+24(FP), R8
	MOVD	y+48(FP), R9
	MOVD	z+0(FP), R10
	ADDS	$0, R0		// clear carry flag
	TBZ	$0, R0, two
	MOVD.P	8(R8), R11
	MOVD.P	8(R9), R15
	ADCS	R15, R11
	MOVD.P	R11, 8(R10)
	SUB	$1, R0
two:
	TBZ	$1, R0, loop
	LDP.P	16(R8), (R11, R12)
	LDP.P	16(R9), (R15, R16)
	ADCS	R15, R11
	ADCS	R16, R12
	STP.P	(R11, R12), 16(R10)
	SUB	$2, R0
loop:
	CBZ	R0, done	// careful not to touch the carry flag
	LDP.P	32(R8), (R11, R12)
	LDP	-16(R8), (R13, R14)
	LDP.P	32(R9), (R15, R16)
	LDP	-16(R9), (R17, R19)
	ADCS	R15, R11
	ADCS	R16, R12
	ADCS	R17, R13
	ADCS	R19, R14
	STP.P	(R11, R12), 32(R10)
	STP	(R13, R14), -16(R10)
	SUB	$4, R0
	B	loop
done:
	CSET	HS, R0		// extract carry flag
	MOVD	R0, c+72(FP)
	RET


// func subVV(z, x, y []Word) (c Word)
TEXT ·subVV(SB),NOSPLIT,$0
	MOVD	z_len+8(FP), R0
	MOVD	x+24(FP), R8
	MOVD	y+48(FP), R9
	MOVD	z+0(FP), R10
	CMP	R0, R0		// set carry flag
	TBZ	$0, R0, two
	MOVD.P	8(R8), R11
	MOVD.P	8(R9), R15
	SBCS	R15, R11
	MOVD.P	R11, 8(R10)
	SUB	$1, R0
two:
	TBZ	$1, R0, loop
	LDP.P	16(R8), (R11, R12)
	LDP.P	16(R9), (R15, R16)
	SBCS	R15, R11
	SBCS	R16, R12
	STP.P	(R11, R12), 16(R10)
	SUB	$2, R0
loop:
	CBZ	R0, done	// careful not to touch the carry flag
	LDP.P	32(R8), (R11, R12)
	LDP	-16(R8), (R13, R14)
	LDP.P	32(R9), (R15, R16)
	LDP	-16(R9), (R17, R19)
	SBCS	R15, R11
	SBCS	R16, R12
	SBCS	R17, R13
	SBCS	R19, R14
	STP.P	(R11, R12), 32(R10)
	STP	(R13, R14), -16(R10)
	SUB	$4, R0
	B	loop
done:
	CSET	LO, R0		// extract carry flag
	MOVD	R0, c+72(FP)
	RET


// func addVW(z, x []Word, y Word) (c Word)
TEXT ·addVW(SB),NOSPLIT,$0
	MOVD	z+0(FP), R3
	MOVD	z_len+8(FP), R0
	MOVD	x+24(FP), R1
	MOVD	y+48(FP), R2
	CBZ	R0, len0	// the length of z is 0
	MOVD.P	8(R1), R4
	ADDS	R2, R4		// z[0] = x[0] + y, set carry
	MOVD.P	R4, 8(R3)
	SUB	$1, R0
	CBZ	R0, len1	// the length of z is 1
	TBZ	$0, R0, two
	MOVD.P	8(R1), R4	// do it once
	ADCS	$0, R4
	MOVD.P	R4, 8(R3)
	SUB	$1, R0
two:				// do it twice
	TBZ	$1, R0, loop
	LDP.P	16(R1), (R4, R5)
	ADCS	$0, R4, R8	// c, z[i] = x[i] + c
	ADCS	$0, R5, R9
	STP.P	(R8, R9), 16(R3)
	SUB	$2, R0
loop:				// do four times per round
	CBZ	R0, len1	// careful not to touch the carry flag
	LDP.P	32(R1), (R4, R5)
	LDP	-16(R1), (R6, R7)
	ADCS	$0, R4, R8
	ADCS	$0, R5, R9
	ADCS	$0, R6, R10
	ADCS	$0, R7, R11
	STP.P	(R8, R9), 32(R3)
	STP	(R10, R11), -16(R3)
	SUB	$4, R0
	B	loop
len1:
	CSET	HS, R2		// extract carry flag
len0:
	MOVD	R2, c+56(FP)
	RET

// func subVW(z, x []Word, y Word) (c Word)
TEXT ·subVW(SB),NOSPLIT,$0
	MOVD	z+0(FP), R3
	MOVD	z_len+8(FP), R0
	MOVD	x+24(FP), R1
	MOVD	y+48(FP), R2
	CBZ	R0, len0	// the length of z is 0
	MOVD.P	8(R1), R4
	SUBS	R2, R4		// z[0] = x[0] - y, set carry
	MOVD.P	R4, 8(R3)
	SUB	$1, R0
	CBZ	R0, len1	// the length of z is 1
	TBZ	$0, R0, two	// do it once
	MOVD.P	8(R1), R4
	SBCS	$0, R4
	MOVD.P	R4, 8(R3)
	SUB	$1, R0
two:				// do it twice
	TBZ	$1, R0, loop
	LDP.P	16(R1), (R4, R5)
	SBCS	$0, R4, R8	// c, z[i] = x[i] + c
	SBCS	$0, R5, R9
	STP.P	(R8, R9), 16(R3)
	SUB	$2, R0
loop:				// do four times per round
	CBZ	R0, len1	// careful not to touch the carry flag
	LDP.P	32(R1), (R4, R5)
	LDP	-16(R1), (R6, R7)
	SBCS	$0, R4, R8
	SBCS	$0, R5, R9
	SBCS	$0, R6, R10
	SBCS	$0, R7, R11
	STP.P	(R8, R9), 32(R3)
	STP	(R10, R11), -16(R3)
	SUB	$4, R0
	B	loop
len1:
	CSET	LO, R2		// extract carry flag
len0:
	MOVD	R2, c+56(FP)
	RET


// func shlVU(z, x []Word, s uint) (c Word)
TEXT ·shlVU(SB),NOSPLIT,$0
	MOVD	z+0(FP), R0
	MOVD	z_len+8(FP), R1
	MOVD	x+24(FP), R2
	MOVD	s+48(FP), R3
	MOVD	$0, R8		// in order not to affect the first element, R8 is initialized to zero
	MOVD	$64, R4
	SUB	R3, R4
	CBZ	R1, len0
	CBZ	R3, copy	// if the number of shift is 0, just copy x to z

	TBZ	$0, R1, two
	MOVD.P	8(R2), R6
	LSR	R4, R6, R8
	LSL	R3, R6
	MOVD.P	R6, 8(R0)
	SUB	$1, R1
two:
	TBZ	$1, R1, loop
	LDP.P	16(R2), (R6, R7)
	LSR	R4, R6, R9
	LSL	R3, R6
	ORR	R8, R6
	LSR	R4, R7, R8
	LSL	R3, R7
	ORR	R9, R7
	STP.P	(R6, R7), 16(R0)
	SUB	$2, R1
loop:
	CBZ	R1, done
	LDP.P	32(R2), (R10, R11)
	LDP	-16(R2), (R12, R13)
	LSR	R4, R10, R20
	LSL	R3, R10
	ORR	R8, R10		// z[i] = (x[i] << s) | (x[i-1] >> (64 - s))
	LSR	R4, R11, R21
	LSL	R3, R11
	ORR	R20, R11
	LSR	R4, R12, R22
	LSL	R3, R12
	ORR	R21, R12
	LSR	R4, R13, R8
	LSL	R3, R13
	ORR	R22, R13
	STP.P	(R10, R11), 32(R0)
	STP	(R12, R13), -16(R0)
	SUB	$4, R1
	B	loop
done:
	MOVD	R8, c+56(FP)	// the part moved out from the last element
	RET
copy:
	TBZ	$0, R1, ctwo
	MOVD.P	8(R2), R3
	MOVD.P	R3, 8(R0)
	SUB	$1, R1
ctwo:
	TBZ	$1, R1, cloop
	LDP.P	16(R2), (R4, R5)
	STP.P	(R4, R5), 16(R0)
	SUB	$2, R1
cloop:
	CBZ	R1, len0
	LDP.P	32(R2), (R4, R5)
	LDP	-16(R2), (R6, R7)
	STP.P	(R4, R5), 32(R0)
	STP	(R6, R7), -16(R0)
	SUB	$4, R1
	B	cloop
len0:
	MOVD	$0, c+56(FP)
	RET


// func shrVU(z, x []Word, s uint) (c Word)
TEXT ·shrVU(SB),NOSPLIT,$0
	MOVD	z+0(FP), R0
	MOVD	z_len+8(FP), R1
	MOVD	x+24(FP), R2
	MOVD	s+48(FP), R3
	MOVD	$0, R8
	MOVD	$64, R4
	SUB	R3, R4
	CBZ	R1, len0
	CBZ	R3, copy	// if the number of shift is 0, just copy x to z

	MOVD.P	8(R2), R20
	LSR	R3, R20, R8
	LSL	R4, R20
	MOVD	R20, c+56(FP)	// deal with the first element
	SUB	$1, R1

	TBZ	$0, R1, two
	MOVD.P	8(R2), R6
	LSL	R4, R6, R20
	ORR	R8, R20
	LSR	R3, R6, R8
	MOVD.P	R20, 8(R0)
	SUB	$1, R1
two:
	TBZ	$1, R1, loop
	LDP.P	16(R2), (R6, R7)
	LSL	R4, R6, R20
	LSR	R3, R6
	ORR	R8, R20
	LSL	R4, R7, R21
	LSR	R3, R7, R8
	ORR	R6, R21
	STP.P	(R20, R21), 16(R0)
	SUB	$2, R1
loop:
	CBZ	R1, done
	LDP.P	32(R2), (R10, R11)
	LDP	-16(R2), (R12, R13)
	LSL	R4, R10, R20
	LSR	R3, R10
	ORR	R8, R20		// z[i] = (x[i] >> s) | (x[i+1] << (64 - s))
	LSL	R4, R11, R21
	LSR	R3, R11
	ORR	R10, R21
	LSL	R4, R12, R22
	LSR	R3, R12
	ORR	R11, R22
	LSL	R4, R13, R23
	LSR	R3, R13, R8
	ORR	R12, R23
	STP.P	(R20, R21), 32(R0)
	STP	(R22, R23), -16(R0)
	SUB	$4, R1
	B	loop
done:
	MOVD	R8, (R0)	// deal with the last element
	RET
copy:
	TBZ	$0, R1, ctwo
	MOVD.P	8(R2), R3
	MOVD.P	R3, 8(R0)
	SUB	$1, R1
ctwo:
	TBZ	$1, R1, cloop
	LDP.P	16(R2), (R4, R5)
	STP.P	(R4, R5), 16(R0)
	SUB	$2, R1
cloop:
	CBZ	R1, len0
	LDP.P	32(R2), (R4, R5)
	LDP	-16(R2), (R6, R7)
	STP.P	(R4, R5), 32(R0)
	STP	(R6, R7), -16(R0)
	SUB	$4, R1
	B	cloop
len0:
	MOVD	$0, c+56(FP)
	RET


// func mulAddVWW(z, x []Word, y, r Word) (c Word)
TEXT ·mulAddVWW(SB),NOSPLIT,$0
	MOVD	z+0(FP), R1
	MOVD	z_len+8(FP), R0
	MOVD	x+24(FP), R2
	MOVD	y+48(FP), R3
	MOVD	r+56(FP), R4
loop:
	CBZ	R0, done
	MOVD.P	8(R2), R5
	UMULH	R5, R3, R7
	MUL	R5, R3, R6
	ADDS	R4, R6
	ADC	$0, R7
	MOVD.P	R6, 8(R1)
	MOVD	R7, R4
	SUB	$1, R0
	B	loop
done:
	MOVD	R4, c+64(FP)
	RET


// func addMulVVW(z, x []Word, y Word) (c Word)
TEXT ·addMulVVW(SB),NOSPLIT,$0
	MOVD	z+0(FP), R1
	MOVD	z_len+8(FP), R0
	MOVD	x+24(FP), R2
	MOVD	y+48(FP), R3
	MOVD	$0, R4

	TBZ	$0, R0, two

	MOVD.P	8(R2), R5
	MOVD	(R1), R6

	MUL	R5, R3, R7
	UMULH	R5, R3, R8

	ADDS	R7, R6
	ADC	$0, R8, R4

	MOVD.P	R6, 8(R1)
	SUB	$1, R0

two:
	TBZ	$1, R0, loop

	LDP.P	16(R2), (R5, R10)
	LDP	(R1), (R6, R11)

	MUL	R10, R3, R13
	UMULH	R10, R3, R12

	MUL	R5, R3, R7
	UMULH	R5, R3, R8

	ADDS	R4, R6
	ADCS	R13, R11
	ADC	$0, R12

	ADDS	R7, R6
	ADCS	R8, R11
	ADC	$0, R12, R4

	STP.P	(R6, R11), 16(R1)
	SUB	$2, R0

// The main loop of this code operates on a block of 4 words every iteration
// performing [R4:R12:R11:R10:R9] = R4 + R3 * [R8:R7:R6:R5] + [R12:R11:R10:R9]
// where R4 is carried from the previous iteration, R8:R7:R6:R5 hold the next
// 4 words of x, R3 is y and R12:R11:R10:R9 are part of the result z.
loop:
	CBZ	R0, done

	LDP.P	16(R2), (R5, R6)
	LDP.P	16(R2), (R7, R8)

	LDP	(R1), (R9, R10)
	ADDS	R4, R9
	MUL	R6, R3, R14
	ADCS	R14, R10
	MUL	R7, R3, R15
	LDP	16(R1), (R11, R12)
	ADCS	R15, R11
	MUL	R8, R3, R16
	ADCS	R16, R12
	UMULH	R8, R3, R20
	ADC	$0, R20

	MUL	R5, R3, R13
	ADDS	R13, R9
	UMULH	R5, R3, R17
	ADCS	R17, R10
	UMULH	R6, R3, R21
	STP.P	(R9, R10), 16(R1)
	ADCS	R21, R11
	UMULH	R7, R3, R19
	ADCS	R19, R12
	STP.P	(R11, R12), 16(R1)
	ADC	$0, R20, R4

	SUB	$4, R0
	B	loop

done:
	MOVD	R4, c+56(FP)
	RET

// func divWVW(z []Word, xn Word, x []Word, y Word) (r Word)
TEXT ·divWVW(SB),NOSPLIT,$0
	B ·divWVW_g(SB)