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math/big: add partial arm64 assembly support
benchmark old ns/op new ns/op delta BenchmarkAddVV_1 18.7 14.8 -20.86% BenchmarkAddVV_2 21.8 16.6 -23.85% BenchmarkAddVV_3 26.1 17.1 -34.48% BenchmarkAddVV_4 30.4 21.9 -27.96% BenchmarkAddVV_5 35.5 19.8 -44.23% BenchmarkAddVV_1e1 63.0 28.3 -55.08% BenchmarkAddVV_1e2 593 178 -69.98% BenchmarkAddVV_1e3 5691 1490 -73.82% BenchmarkAddVV_1e4 56868 20761 -63.49% BenchmarkAddVV_1e5 569062 207679 -63.51% BenchmarkAddVW_1 15.8 12.6 -20.25% BenchmarkAddVW_2 17.8 13.1 -26.40% BenchmarkAddVW_3 21.2 13.9 -34.43% BenchmarkAddVW_4 23.6 14.7 -37.71% BenchmarkAddVW_5 26.0 15.8 -39.23% BenchmarkAddVW_1e1 41.3 21.6 -47.70% BenchmarkAddVW_1e2 383 145 -62.14% BenchmarkAddVW_1e3 3703 1264 -65.87% BenchmarkAddVW_1e4 36920 14359 -61.11% BenchmarkAddVW_1e5 370345 143046 -61.37% BenchmarkAddMulVVW_1 33.2 32.5 -2.11% BenchmarkAddMulVVW_2 58.0 57.2 -1.38% BenchmarkAddMulVVW_3 95.2 93.9 -1.37% BenchmarkAddMulVVW_4 108 106 -1.85% BenchmarkAddMulVVW_5 159 156 -1.89% BenchmarkAddMulVVW_1e1 344 340 -1.16% BenchmarkAddMulVVW_1e2 3644 3624 -0.55% BenchmarkAddMulVVW_1e3 37344 37208 -0.36% BenchmarkAddMulVVW_1e4 373295 372170 -0.30% BenchmarkAddMulVVW_1e5 3438116 3425606 -0.36% BenchmarkBitLen0 7.21 4.32 -40.08% BenchmarkBitLen1 6.49 4.32 -33.44% BenchmarkBitLen2 7.23 4.32 -40.25% BenchmarkBitLen3 6.49 4.32 -33.44% BenchmarkBitLen4 7.22 4.32 -40.17% BenchmarkBitLen5 6.52 4.33 -33.59% BenchmarkBitLen8 7.22 4.32 -40.17% BenchmarkBitLen9 6.49 4.32 -33.44% BenchmarkBitLen16 8.66 4.32 -50.12% BenchmarkBitLen17 7.95 4.32 -45.66% BenchmarkBitLen31 8.69 4.32 -50.29% BenchmarkGCD10x10 5021 5033 +0.24% BenchmarkGCD10x100 5571 5572 +0.02% BenchmarkGCD10x1000 6707 6729 +0.33% BenchmarkGCD10x10000 13526 13419 -0.79% BenchmarkGCD10x100000 85668 83242 -2.83% BenchmarkGCD100x100 24196 23936 -1.07% BenchmarkGCD100x1000 28802 27309 -5.18% BenchmarkGCD100x10000 64111 51704 -19.35% BenchmarkGCD100x100000 385840 274385 -28.89% BenchmarkGCD1000x1000 262892 236269 -10.13% BenchmarkGCD1000x10000 371393 277883 -25.18% BenchmarkGCD1000x100000 1311795 589055 -55.10% BenchmarkGCD10000x10000 9596740 6123930 -36.19% BenchmarkGCD10000x100000 16404000 7269610 -55.68% BenchmarkGCD100000x100000 776660000 419270000 -46.02% BenchmarkHilbert 13478980 13402270 -0.57% BenchmarkBinomial 9802 9440 -3.69% BenchmarkBitset 142 142 +0.00% BenchmarkBitsetNeg 328 279 -14.94% BenchmarkBitsetOrig 853 861 +0.94% BenchmarkBitsetNegOrig 1489 1444 -3.02% BenchmarkMul 420949000 410481000 -2.49% BenchmarkExp3Power0x10 1148 1229 +7.06% BenchmarkExp3Power0x40 1322 1376 +4.08% BenchmarkExp3Power0x100 2437 2486 +2.01% BenchmarkExp3Power0x400 9456 9346 -1.16% BenchmarkExp3Power0x1000 113623 108701 -4.33% BenchmarkExp3Power0x4000 1134933 1101481 -2.95% BenchmarkExp3Power0x10000 10773570 10396160 -3.50% BenchmarkExp3Power0x40000 101362100 97788300 -3.53% BenchmarkExp3Power0x100000 921114000 885249000 -3.89% BenchmarkExp3Power0x400000 8323094000 7969020000 -4.25% BenchmarkFibo 322021600 92554450 -71.26% BenchmarkScanPi 1264583 321065 -74.61% BenchmarkStringPiParallel 1644661 554216 -66.30% BenchmarkScan10Base2 1111 1080 -2.79% BenchmarkScan100Base2 6645 6345 -4.51% BenchmarkScan1000Base2 84084 62405 -25.78% BenchmarkScan10000Base2 3105998 932551 -69.98% BenchmarkScan100000Base2 257234800 40113333 -84.41% BenchmarkScan10Base8 571 573 +0.35% BenchmarkScan100Base8 2810 2543 -9.50% BenchmarkScan1000Base8 47383 25834 -45.48% BenchmarkScan10000Base8 2739518 567203 -79.30% BenchmarkScan100000Base8 253952400 36495680 -85.63% BenchmarkScan10Base10 553 556 +0.54% BenchmarkScan100Base10 2640 2385 -9.66% BenchmarkScan1000Base10 50865 24049 -52.72% BenchmarkScan10000Base10 3279916 549313 -83.25% BenchmarkScan100000Base10 309121000 36213140 -88.29% BenchmarkScan10Base16 478 483 +1.05% BenchmarkScan100Base16 2353 2144 -8.88% BenchmarkScan1000Base16 48091 24246 -49.58% BenchmarkScan10000Base16 2858886 586475 -79.49% BenchmarkScan100000Base16 266320000 38190500 -85.66% BenchmarkString10Base2 736 730 -0.82% BenchmarkString100Base2 2695 2707 +0.45% BenchmarkString1000Base2 20549 20388 -0.78% BenchmarkString10000Base2 212638 210782 -0.87% BenchmarkString100000Base2 1944963 1938033 -0.36% BenchmarkString10Base8 524 517 -1.34% BenchmarkString100Base8 1326 1320 -0.45% BenchmarkString1000Base8 8213 8249 +0.44% BenchmarkString10000Base8 72204 72092 -0.16% BenchmarkString100000Base8 769068 765993 -0.40% BenchmarkString10Base10 1018 982 -3.54% BenchmarkString100Base10 3485 3206 -8.01% BenchmarkString1000Base10 37102 18935 -48.97% BenchmarkString10000Base10 188633 88637 -53.01% BenchmarkString100000Base10 124490300 19700940 -84.17% BenchmarkString10Base16 509 502 -1.38% BenchmarkString100Base16 1084 1098 +1.29% BenchmarkString1000Base16 5641 5650 +0.16% BenchmarkString10000Base16 46900 46745 -0.33% BenchmarkString100000Base16 508957 505840 -0.61% BenchmarkLeafSize0 8934320 8149465 -8.78% BenchmarkLeafSize1 237666 118381 -50.19% BenchmarkLeafSize2 237807 117854 -50.44% BenchmarkLeafSize3 1688640 353494 -79.07% BenchmarkLeafSize4 235676 116196 -50.70% BenchmarkLeafSize5 2121896 430325 -79.72% BenchmarkLeafSize6 1682306 351775 -79.09% BenchmarkLeafSize7 1051847 251436 -76.10% BenchmarkLeafSize8 232697 115674 -50.29% BenchmarkLeafSize9 2403616 488443 -79.68% BenchmarkLeafSize10 2120975 429545 -79.75% BenchmarkLeafSize11 2023789 426525 -78.92% BenchmarkLeafSize12 1684830 351985 -79.11% BenchmarkLeafSize13 1465529 337906 -76.94% BenchmarkLeafSize14 1050498 253872 -75.83% BenchmarkLeafSize15 683228 197384 -71.11% BenchmarkLeafSize16 232496 116026 -50.10% BenchmarkLeafSize32 245841 126671 -48.47% BenchmarkLeafSize64 301728 190285 -36.93% Change-Id: I63e63297896d96b89c9a275b893c2b405a7e105d Reviewed-on: https://go-review.googlesource.com/9260 Reviewed-by: David Crawshaw <crawshaw@golang.org>
This commit is contained in:
Josh Bleecher Snyder
parent
1f65c9c141
commit
56a7c5b95c
@ -9,38 +9,169 @@
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// This file provides fast assembly versions for the elementary
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// arithmetic operations on vectors implemented in arith.go.
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// TODO: Consider re-implementing using Advanced SIMD
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// once the assembler supports those instructions.
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// func mulWW(x, y Word) (z1, z0 Word)
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TEXT ·mulWW(SB),NOSPLIT,$0
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B ·mulWW_g(SB)
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MOVD x+0(FP), R0
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MOVD y+8(FP), R1
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MUL R0, R1, R2
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UMULH R0, R1, R3
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MOVD R3, z1+16(FP)
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MOVD R2, z0+24(FP)
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RET
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// func divWW(x1, x0, y Word) (q, r Word)
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TEXT ·divWW(SB),NOSPLIT,$0
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B ·divWW_g(SB)
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B ·divWW_g(SB) // ARM64 has no multiword division
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// func addVV(z, x, y []Word) (c Word)
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TEXT ·addVV(SB),NOSPLIT,$0
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B ·addVV_g(SB)
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MOVD z+0(FP), R3
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MOVD z_len+8(FP), R0
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MOVD x+24(FP), R1
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MOVD y+48(FP), R2
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ADDS $0, R0 // clear carry flag
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loop:
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CBZ R0, done // careful not to touch the carry flag
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MOVD.P 8(R1), R4
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MOVD.P 8(R2), R5
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ADCS R4, R5
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MOVD.P R5, 8(R3)
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SUB $1, R0
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B loop
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done:
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CSET HS, R0 // extract carry flag
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MOVD R0, c+72(FP)
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RET
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// func subVV(z, x, y []Word) (c Word)
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TEXT ·subVV(SB),NOSPLIT,$0
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B ·subVV_g(SB)
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MOVD z+0(FP), R3
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MOVD z_len+8(FP), R0
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MOVD x+24(FP), R1
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MOVD y+48(FP), R2
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CMP R0, R0 // set carry flag
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loop:
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CBZ R0, done // careful not to touch the carry flag
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MOVD.P 8(R1), R4
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MOVD.P 8(R2), R5
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SBCS R5, R4
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MOVD.P R4, 8(R3)
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SUB $1, R0
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B loop
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done:
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CSET LO, R0 // extract carry flag
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MOVD R0, c+72(FP)
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RET
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// func addVW(z, x []Word, y Word) (c Word)
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TEXT ·addVW(SB),NOSPLIT,$0
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B ·addVW_g(SB)
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MOVD z+0(FP), R3
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MOVD z_len+8(FP), R0
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MOVD x+24(FP), R1
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MOVD y+48(FP), R2
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CBZ R0, return_y
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MOVD.P 8(R1), R4
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ADDS R2, R4
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MOVD.P R4, 8(R3)
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SUB $1, R0
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loop:
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CBZ R0, done // careful not to touch the carry flag
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MOVD.P 8(R1), R4
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ADCS $0, R4
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MOVD.P R4, 8(R3)
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SUB $1, R0
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B loop
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done:
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CSET HS, R0 // extract carry flag
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MOVD R0, c+56(FP)
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RET
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return_y: // z is empty; copy y to c
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MOVD R2, c+56(FP)
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RET
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// func subVW(z, x []Word, y Word) (c Word)
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TEXT ·subVW(SB),NOSPLIT,$0
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B ·subVW_g(SB)
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MOVD z+0(FP), R3
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MOVD z_len+8(FP), R0
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MOVD x+24(FP), R1
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MOVD y+48(FP), R2
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CBZ R0, rety
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MOVD.P 8(R1), R4
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SUBS R2, R4
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MOVD.P R4, 8(R3)
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SUB $1, R0
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loop:
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CBZ R0, done // careful not to touch the carry flag
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MOVD.P 8(R1), R4
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SBCS $0, R4
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MOVD.P R4, 8(R3)
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SUB $1, R0
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B loop
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done:
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CSET LO, R0 // extract carry flag
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MOVD R0, c+56(FP)
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RET
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rety: // z is empty; copy y to c
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MOVD R2, c+56(FP)
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RET
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// func shlVU(z, x []Word, s uint) (c Word)
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TEXT ·shlVU(SB),NOSPLIT,$0
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B ·shlVU_g(SB)
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// func shrVU(z, x []Word, s uint) (c Word)
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TEXT ·shrVU(SB),NOSPLIT,$0
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B ·shrVU_g(SB)
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TEXT ·mulAddVWW(SB),NOSPLIT,$0
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B ·mulAddVWW_g(SB)
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// func mulAddVWW(z, x []Word, y, r Word) (c Word)
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TEXT ·mulAddVWW(SB),NOSPLIT,$0
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MOVD z+0(FP), R1
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MOVD z_len+8(FP), R0
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MOVD x+24(FP), R2
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MOVD y+48(FP), R3
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MOVD r+56(FP), R4
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loop:
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CBZ R0, done
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MOVD.P 8(R2), R5
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UMULH R5, R3, R7
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MUL R5, R3, R6
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ADDS R4, R6
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ADC $0, R7
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MOVD.P R6, 8(R1)
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MOVD R7, R4
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SUB $1, R0
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B loop
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done:
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MOVD R4, c+64(FP)
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RET
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// func addMulVVW(z, x []Word, y Word) (c Word)
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TEXT ·addMulVVW(SB),NOSPLIT,$0
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B ·addMulVVW_g(SB)
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// func divWVW(z []Word, xn Word, x []Word, y Word) (r Word)
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TEXT ·divWVW(SB),NOSPLIT,$0
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B ·divWVW_g(SB)
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// func bitLen(x Word) (n int)
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TEXT ·bitLen(SB),NOSPLIT,$0
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B ·bitLen_g(SB)
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MOVD x+0(FP), R0
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CLZ R0, R0
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MOVD $64, R1
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SUB R0, R1, R0
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MOVD R0, n+8(FP)
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RET
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