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arith_amd64.s
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arith_amd64.s
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// Copyright 2009 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.
// func mulWW(x, y Word) (z1, z0 Word)
TEXT ·mulWW(SB),NOSPLIT,$0
MOVQ x+0(FP), AX
MULQ y+8(FP)
MOVQ DX, z1+16(FP)
MOVQ AX, z0+24(FP)
RET
// func divWW(x1, x0, y Word) (q, r Word)
TEXT ·divWW(SB),NOSPLIT,$0
MOVQ x1+0(FP), DX
MOVQ x0+8(FP), AX
DIVQ y+16(FP)
MOVQ AX, q+24(FP)
MOVQ DX, r+32(FP)
RET
// The carry bit is saved with SBBQ Rx, Rx: if the carry was set, Rx is -1, otherwise it is 0.
// It is restored with ADDQ Rx, Rx: if Rx was -1 the carry is set, otherwise it is cleared.
// This is faster than using rotate instructions.
// func addVV(z, x, y []Word) (c Word)
TEXT ·addVV(SB),NOSPLIT,$0
MOVQ z_len+8(FP), DI
MOVQ x+24(FP), R8
MOVQ y+48(FP), R9
MOVQ z+0(FP), R10
MOVQ $0, CX // c = 0
MOVQ $0, SI // i = 0
// s/JL/JMP/ below to disable the unrolled loop
SUBQ $4, DI // n -= 4
JL V1 // if n < 0 goto V1
U1: // n >= 0
// regular loop body unrolled 4x
ADDQ CX, CX // restore CF
MOVQ 0(R8)(SI*8), R11
MOVQ 8(R8)(SI*8), R12
MOVQ 16(R8)(SI*8), R13
MOVQ 24(R8)(SI*8), R14
ADCQ 0(R9)(SI*8), R11
ADCQ 8(R9)(SI*8), R12
ADCQ 16(R9)(SI*8), R13
ADCQ 24(R9)(SI*8), R14
MOVQ R11, 0(R10)(SI*8)
MOVQ R12, 8(R10)(SI*8)
MOVQ R13, 16(R10)(SI*8)
MOVQ R14, 24(R10)(SI*8)
SBBQ CX, CX // save CF
ADDQ $4, SI // i += 4
SUBQ $4, DI // n -= 4
JGE U1 // if n >= 0 goto U1
V1: ADDQ $4, DI // n += 4
JLE E1 // if n <= 0 goto E1
L1: // n > 0
ADDQ CX, CX // restore CF
MOVQ 0(R8)(SI*8), R11
ADCQ 0(R9)(SI*8), R11
MOVQ R11, 0(R10)(SI*8)
SBBQ CX, CX // save CF
ADDQ $1, SI // i++
SUBQ $1, DI // n--
JG L1 // if n > 0 goto L1
E1: NEGQ CX
MOVQ CX, c+72(FP) // return c
RET
// func subVV(z, x, y []Word) (c Word)
// (same as addVV except for SBBQ instead of ADCQ and label names)
TEXT ·subVV(SB),NOSPLIT,$0
MOVQ z_len+8(FP), DI
MOVQ x+24(FP), R8
MOVQ y+48(FP), R9
MOVQ z+0(FP), R10
MOVQ $0, CX // c = 0
MOVQ $0, SI // i = 0
// s/JL/JMP/ below to disable the unrolled loop
SUBQ $4, DI // n -= 4
JL V2 // if n < 0 goto V2
U2: // n >= 0
// regular loop body unrolled 4x
ADDQ CX, CX // restore CF
MOVQ 0(R8)(SI*8), R11
MOVQ 8(R8)(SI*8), R12
MOVQ 16(R8)(SI*8), R13
MOVQ 24(R8)(SI*8), R14
SBBQ 0(R9)(SI*8), R11
SBBQ 8(R9)(SI*8), R12
SBBQ 16(R9)(SI*8), R13
SBBQ 24(R9)(SI*8), R14
MOVQ R11, 0(R10)(SI*8)
MOVQ R12, 8(R10)(SI*8)
MOVQ R13, 16(R10)(SI*8)
MOVQ R14, 24(R10)(SI*8)
SBBQ CX, CX // save CF
ADDQ $4, SI // i += 4
SUBQ $4, DI // n -= 4
JGE U2 // if n >= 0 goto U2
V2: ADDQ $4, DI // n += 4
JLE E2 // if n <= 0 goto E2
L2: // n > 0
ADDQ CX, CX // restore CF
MOVQ 0(R8)(SI*8), R11
SBBQ 0(R9)(SI*8), R11
MOVQ R11, 0(R10)(SI*8)
SBBQ CX, CX // save CF
ADDQ $1, SI // i++
SUBQ $1, DI // n--
JG L2 // if n > 0 goto L2
E2: NEGQ CX
MOVQ CX, c+72(FP) // return c
RET
// func addVW(z, x []Word, y Word) (c Word)
TEXT ·addVW(SB),NOSPLIT,$0
MOVQ z_len+8(FP), DI
CMPQ DI, $32
JG large
MOVQ x+24(FP), R8
MOVQ y+48(FP), CX // c = y
MOVQ z+0(FP), R10
MOVQ $0, SI // i = 0
// s/JL/JMP/ below to disable the unrolled loop
SUBQ $4, DI // n -= 4
JL V3 // if n < 4 goto V3
U3: // n >= 0
// regular loop body unrolled 4x
MOVQ 0(R8)(SI*8), R11
MOVQ 8(R8)(SI*8), R12
MOVQ 16(R8)(SI*8), R13
MOVQ 24(R8)(SI*8), R14
ADDQ CX, R11
ADCQ $0, R12
ADCQ $0, R13
ADCQ $0, R14
SBBQ CX, CX // save CF
NEGQ CX
MOVQ R11, 0(R10)(SI*8)
MOVQ R12, 8(R10)(SI*8)
MOVQ R13, 16(R10)(SI*8)
MOVQ R14, 24(R10)(SI*8)
ADDQ $4, SI // i += 4
SUBQ $4, DI // n -= 4
JGE U3 // if n >= 0 goto U3
V3: ADDQ $4, DI // n += 4
JLE E3 // if n <= 0 goto E3
L3: // n > 0
ADDQ 0(R8)(SI*8), CX
MOVQ CX, 0(R10)(SI*8)
SBBQ CX, CX // save CF
NEGQ CX
ADDQ $1, SI // i++
SUBQ $1, DI // n--
JG L3 // if n > 0 goto L3
E3: MOVQ CX, c+56(FP) // return c
RET
large:
JMP ·addVWlarge(SB)
// func subVW(z, x []Word, y Word) (c Word)
// (same as addVW except for SUBQ/SBBQ instead of ADDQ/ADCQ and label names)
TEXT ·subVW(SB),NOSPLIT,$0
MOVQ z_len+8(FP), DI
CMPQ DI, $32
JG large
MOVQ x+24(FP), R8
MOVQ y+48(FP), CX // c = y
MOVQ z+0(FP), R10
MOVQ $0, SI // i = 0
// s/JL/JMP/ below to disable the unrolled loop
SUBQ $4, DI // n -= 4
JL V4 // if n < 4 goto V4
U4: // n >= 0
// regular loop body unrolled 4x
MOVQ 0(R8)(SI*8), R11
MOVQ 8(R8)(SI*8), R12
MOVQ 16(R8)(SI*8), R13
MOVQ 24(R8)(SI*8), R14
SUBQ CX, R11
SBBQ $0, R12
SBBQ $0, R13
SBBQ $0, R14
SBBQ CX, CX // save CF
NEGQ CX
MOVQ R11, 0(R10)(SI*8)
MOVQ R12, 8(R10)(SI*8)
MOVQ R13, 16(R10)(SI*8)
MOVQ R14, 24(R10)(SI*8)
ADDQ $4, SI // i += 4
SUBQ $4, DI // n -= 4
JGE U4 // if n >= 0 goto U4
V4: ADDQ $4, DI // n += 4
JLE E4 // if n <= 0 goto E4
L4: // n > 0
MOVQ 0(R8)(SI*8), R11
SUBQ CX, R11
MOVQ R11, 0(R10)(SI*8)
SBBQ CX, CX // save CF
NEGQ CX
ADDQ $1, SI // i++
SUBQ $1, DI // n--
JG L4 // if n > 0 goto L4
E4: MOVQ CX, c+56(FP) // return c
RET
large:
JMP ·subVWlarge(SB)
// func shlVU(z, x []Word, s uint) (c Word)
TEXT ·shlVU(SB),NOSPLIT,$0
MOVQ z_len+8(FP), BX // i = z
SUBQ $1, BX // i--
JL X8b // i < 0 (n <= 0)
// n > 0
MOVQ z+0(FP), R10
MOVQ x+24(FP), R8
MOVQ s+48(FP), CX
MOVQ (R8)(BX*8), AX // w1 = x[n-1]
MOVQ $0, DX
SHLQ CX, AX, DX // w1>>ŝ
MOVQ DX, c+56(FP)
CMPQ BX, $0
JLE X8a // i <= 0
// i > 0
L8: MOVQ AX, DX // w = w1
MOVQ -8(R8)(BX*8), AX // w1 = x[i-1]
SHLQ CX, AX, DX // w<<s | w1>>ŝ
MOVQ DX, (R10)(BX*8) // z[i] = w<<s | w1>>ŝ
SUBQ $1, BX // i--
JG L8 // i > 0
// i <= 0
X8a: SHLQ CX, AX // w1<<s
MOVQ AX, (R10) // z[0] = w1<<s
RET
X8b: MOVQ $0, c+56(FP)
RET
// func shrVU(z, x []Word, s uint) (c Word)
TEXT ·shrVU(SB),NOSPLIT,$0
MOVQ z_len+8(FP), R11
SUBQ $1, R11 // n--
JL X9b // n < 0 (n <= 0)
// n > 0
MOVQ z+0(FP), R10
MOVQ x+24(FP), R8
MOVQ s+48(FP), CX
MOVQ (R8), AX // w1 = x[0]
MOVQ $0, DX
SHRQ CX, AX, DX // w1<<ŝ
MOVQ DX, c+56(FP)
MOVQ $0, BX // i = 0
JMP E9
// i < n-1
L9: MOVQ AX, DX // w = w1
MOVQ 8(R8)(BX*8), AX // w1 = x[i+1]
SHRQ CX, AX, DX // w>>s | w1<<ŝ
MOVQ DX, (R10)(BX*8) // z[i] = w>>s | w1<<ŝ
ADDQ $1, BX // i++
E9: CMPQ BX, R11
JL L9 // i < n-1
// i >= n-1
X9a: SHRQ CX, AX // w1>>s
MOVQ AX, (R10)(R11*8) // z[n-1] = w1>>s
RET
X9b: MOVQ $0, c+56(FP)
RET
// func mulAddVWW(z, x []Word, y, r Word) (c Word)
TEXT ·mulAddVWW(SB),NOSPLIT,$0
MOVQ z+0(FP), R10
MOVQ x+24(FP), R8
MOVQ y+48(FP), R9
MOVQ r+56(FP), CX // c = r
MOVQ z_len+8(FP), R11
MOVQ $0, BX // i = 0
CMPQ R11, $4
JL E5
U5: // i+4 <= n
// regular loop body unrolled 4x
MOVQ (0*8)(R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
MOVQ AX, (0*8)(R10)(BX*8)
MOVQ DX, CX
MOVQ (1*8)(R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
MOVQ AX, (1*8)(R10)(BX*8)
MOVQ DX, CX
MOVQ (2*8)(R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
MOVQ AX, (2*8)(R10)(BX*8)
MOVQ DX, CX
MOVQ (3*8)(R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
MOVQ AX, (3*8)(R10)(BX*8)
MOVQ DX, CX
ADDQ $4, BX // i += 4
LEAQ 4(BX), DX
CMPQ DX, R11
JLE U5
JMP E5
L5: MOVQ (R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
MOVQ AX, (R10)(BX*8)
MOVQ DX, CX
ADDQ $1, BX // i++
E5: CMPQ BX, R11 // i < n
JL L5
MOVQ CX, c+64(FP)
RET
// func addMulVVW(z, x []Word, y Word) (c Word)
TEXT ·addMulVVW(SB),NOSPLIT,$0
CMPB ·support_adx(SB), $1
JEQ adx
MOVQ z+0(FP), R10
MOVQ x+24(FP), R8
MOVQ y+48(FP), R9
MOVQ z_len+8(FP), R11
MOVQ $0, BX // i = 0
MOVQ $0, CX // c = 0
MOVQ R11, R12
ANDQ $-2, R12
CMPQ R11, $2
JAE A6
JMP E6
A6:
MOVQ (R8)(BX*8), AX
MULQ R9
ADDQ (R10)(BX*8), AX
ADCQ $0, DX
ADDQ CX, AX
ADCQ $0, DX
MOVQ DX, CX
MOVQ AX, (R10)(BX*8)
MOVQ (8)(R8)(BX*8), AX
MULQ R9
ADDQ (8)(R10)(BX*8), AX
ADCQ $0, DX
ADDQ CX, AX
ADCQ $0, DX
MOVQ DX, CX
MOVQ AX, (8)(R10)(BX*8)
ADDQ $2, BX
CMPQ BX, R12
JL A6
JMP E6
L6: MOVQ (R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
ADDQ AX, (R10)(BX*8)
ADCQ $0, DX
MOVQ DX, CX
ADDQ $1, BX // i++
E6: CMPQ BX, R11 // i < n
JL L6
MOVQ CX, c+56(FP)
RET
adx:
MOVQ z_len+8(FP), R11
MOVQ z+0(FP), R10
MOVQ x+24(FP), R8
MOVQ y+48(FP), DX
MOVQ $0, BX // i = 0
MOVQ $0, CX // carry
CMPQ R11, $8
JAE adx_loop_header
CMPQ BX, R11
JL adx_short
MOVQ CX, c+56(FP)
RET
adx_loop_header:
MOVQ R11, R13
ANDQ $-8, R13
adx_loop:
XORQ R9, R9 // unset flags
MULXQ (R8), SI, DI
ADCXQ CX,SI
ADOXQ (R10), SI
MOVQ SI,(R10)
MULXQ 8(R8), AX, CX
ADCXQ DI, AX
ADOXQ 8(R10), AX
MOVQ AX, 8(R10)
MULXQ 16(R8), SI, DI
ADCXQ CX, SI
ADOXQ 16(R10), SI
MOVQ SI, 16(R10)
MULXQ 24(R8), AX, CX
ADCXQ DI, AX
ADOXQ 24(R10), AX
MOVQ AX, 24(R10)
MULXQ 32(R8), SI, DI
ADCXQ CX, SI
ADOXQ 32(R10), SI
MOVQ SI, 32(R10)
MULXQ 40(R8), AX, CX
ADCXQ DI, AX
ADOXQ 40(R10), AX
MOVQ AX, 40(R10)
MULXQ 48(R8), SI, DI
ADCXQ CX, SI
ADOXQ 48(R10), SI
MOVQ SI, 48(R10)
MULXQ 56(R8), AX, CX
ADCXQ DI, AX
ADOXQ 56(R10), AX
MOVQ AX, 56(R10)
ADCXQ R9, CX
ADOXQ R9, CX
ADDQ $64, R8
ADDQ $64, R10
ADDQ $8, BX
CMPQ BX, R13
JL adx_loop
MOVQ z+0(FP), R10
MOVQ x+24(FP), R8
CMPQ BX, R11
JL adx_short
MOVQ CX, c+56(FP)
RET
adx_short:
MULXQ (R8)(BX*8), SI, DI
ADDQ CX, SI
ADCQ $0, DI
ADDQ SI, (R10)(BX*8)
ADCQ $0, DI
MOVQ DI, CX
ADDQ $1, BX // i++
CMPQ BX, R11
JL adx_short
MOVQ CX, c+56(FP)
RET
// func divWVW(z []Word, xn Word, x []Word, y Word) (r Word)
TEXT ·divWVW(SB),NOSPLIT,$0
MOVQ z+0(FP), R10
MOVQ xn+24(FP), DX // r = xn
MOVQ x+32(FP), R8
MOVQ y+56(FP), R9
MOVQ z_len+8(FP), BX // i = z
JMP E7
L7: MOVQ (R8)(BX*8), AX
DIVQ R9
MOVQ AX, (R10)(BX*8)
E7: SUBQ $1, BX // i--
JGE L7 // i >= 0
MOVQ DX, r+64(FP)
RET