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| // 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)
|
|
