| // Copyright ©2017 The Gonum 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 !noasm,!gccgo,!safe |
| |
| #include "textflag.h" |
| |
| #define SIZE 8 |
| |
| #define M_DIM m+0(FP) |
| #define M CX |
| #define N_DIM n+8(FP) |
| #define N BX |
| |
| #define TMP1 R14 |
| #define TMP2 R15 |
| |
| #define X_PTR SI |
| #define Y y_base+56(FP) |
| #define Y_PTR DX |
| #define A_ROW AX |
| #define A_PTR DI |
| |
| #define INC_X R8 |
| #define INC3_X R9 |
| |
| #define INC_Y R10 |
| #define INC3_Y R11 |
| |
| #define LDA R12 |
| #define LDA3 R13 |
| |
| #define ALPHA X0 |
| |
| #define LOAD4 \ |
| PREFETCHNTA (X_PTR )(INC_X*8) \ |
| MOVDDUP (X_PTR), X1 \ |
| MOVDDUP (X_PTR)(INC_X*1), X2 \ |
| MOVDDUP (X_PTR)(INC_X*2), X3 \ |
| MOVDDUP (X_PTR)(INC3_X*1), X4 \ |
| MULPD ALPHA, X1 \ |
| MULPD ALPHA, X2 \ |
| MULPD ALPHA, X3 \ |
| MULPD ALPHA, X4 |
| |
| #define LOAD2 \ |
| MOVDDUP (X_PTR), X1 \ |
| MOVDDUP (X_PTR)(INC_X*1), X2 \ |
| MULPD ALPHA, X1 \ |
| MULPD ALPHA, X2 |
| |
| #define LOAD1 \ |
| MOVDDUP (X_PTR), X1 \ |
| MULPD ALPHA, X1 |
| |
| #define KERNEL_LOAD4 \ |
| MOVUPS (Y_PTR), X5 \ |
| MOVUPS 2*SIZE(Y_PTR), X6 |
| |
| #define KERNEL_LOAD4_INC \ |
| MOVLPD (Y_PTR), X5 \ |
| MOVHPD (Y_PTR)(INC_Y*1), X5 \ |
| MOVLPD (Y_PTR)(INC_Y*2), X6 \ |
| MOVHPD (Y_PTR)(INC3_Y*1), X6 |
| |
| #define KERNEL_LOAD2 \ |
| MOVUPS (Y_PTR), X5 |
| |
| #define KERNEL_LOAD2_INC \ |
| MOVLPD (Y_PTR), X5 \ |
| MOVHPD (Y_PTR)(INC_Y*1), X5 |
| |
| #define KERNEL_4x4 \ |
| MOVUPS X5, X7 \ |
| MOVUPS X6, X8 \ |
| MOVUPS X5, X9 \ |
| MOVUPS X6, X10 \ |
| MOVUPS X5, X11 \ |
| MOVUPS X6, X12 \ |
| MULPD X1, X5 \ |
| MULPD X1, X6 \ |
| MULPD X2, X7 \ |
| MULPD X2, X8 \ |
| MULPD X3, X9 \ |
| MULPD X3, X10 \ |
| MULPD X4, X11 \ |
| MULPD X4, X12 |
| |
| #define STORE_4x4 \ |
| MOVUPS (A_PTR), X13 \ |
| ADDPD X13, X5 \ |
| MOVUPS 2*SIZE(A_PTR), X14 \ |
| ADDPD X14, X6 \ |
| MOVUPS (A_PTR)(LDA*1), X15 \ |
| ADDPD X15, X7 \ |
| MOVUPS 2*SIZE(A_PTR)(LDA*1), X0 \ |
| ADDPD X0, X8 \ |
| MOVUPS (A_PTR)(LDA*2), X13 \ |
| ADDPD X13, X9 \ |
| MOVUPS 2*SIZE(A_PTR)(LDA*2), X14 \ |
| ADDPD X14, X10 \ |
| MOVUPS (A_PTR)(LDA3*1), X15 \ |
| ADDPD X15, X11 \ |
| MOVUPS 2*SIZE(A_PTR)(LDA3*1), X0 \ |
| ADDPD X0, X12 \ |
| MOVUPS X5, (A_PTR) \ |
| MOVUPS X6, 2*SIZE(A_PTR) \ |
| MOVUPS X7, (A_PTR)(LDA*1) \ |
| MOVUPS X8, 2*SIZE(A_PTR)(LDA*1) \ |
| MOVUPS X9, (A_PTR)(LDA*2) \ |
| MOVUPS X10, 2*SIZE(A_PTR)(LDA*2) \ |
| MOVUPS X11, (A_PTR)(LDA3*1) \ |
| MOVUPS X12, 2*SIZE(A_PTR)(LDA3*1) \ |
| ADDQ $4*SIZE, A_PTR |
| |
| #define KERNEL_4x2 \ |
| MOVUPS X5, X6 \ |
| MOVUPS X5, X7 \ |
| MOVUPS X5, X8 \ |
| MULPD X1, X5 \ |
| MULPD X2, X6 \ |
| MULPD X3, X7 \ |
| MULPD X4, X8 |
| |
| #define STORE_4x2 \ |
| MOVUPS (A_PTR), X9 \ |
| ADDPD X9, X5 \ |
| MOVUPS (A_PTR)(LDA*1), X10 \ |
| ADDPD X10, X6 \ |
| MOVUPS (A_PTR)(LDA*2), X11 \ |
| ADDPD X11, X7 \ |
| MOVUPS (A_PTR)(LDA3*1), X12 \ |
| ADDPD X12, X8 \ |
| MOVUPS X5, (A_PTR) \ |
| MOVUPS X6, (A_PTR)(LDA*1) \ |
| MOVUPS X7, (A_PTR)(LDA*2) \ |
| MOVUPS X8, (A_PTR)(LDA3*1) \ |
| ADDQ $2*SIZE, A_PTR |
| |
| #define KERNEL_4x1 \ |
| MOVSD (Y_PTR), X5 \ |
| MOVSD X5, X6 \ |
| MOVSD X5, X7 \ |
| MOVSD X5, X8 \ |
| MULSD X1, X5 \ |
| MULSD X2, X6 \ |
| MULSD X3, X7 \ |
| MULSD X4, X8 |
| |
| #define STORE_4x1 \ |
| ADDSD (A_PTR), X5 \ |
| ADDSD (A_PTR)(LDA*1), X6 \ |
| ADDSD (A_PTR)(LDA*2), X7 \ |
| ADDSD (A_PTR)(LDA3*1), X8 \ |
| MOVSD X5, (A_PTR) \ |
| MOVSD X6, (A_PTR)(LDA*1) \ |
| MOVSD X7, (A_PTR)(LDA*2) \ |
| MOVSD X8, (A_PTR)(LDA3*1) \ |
| ADDQ $SIZE, A_PTR |
| |
| #define KERNEL_2x4 \ |
| MOVUPS X5, X7 \ |
| MOVUPS X6, X8 \ |
| MULPD X1, X5 \ |
| MULPD X1, X6 \ |
| MULPD X2, X7 \ |
| MULPD X2, X8 |
| |
| #define STORE_2x4 \ |
| MOVUPS (A_PTR), X9 \ |
| ADDPD X9, X5 \ |
| MOVUPS 2*SIZE(A_PTR), X10 \ |
| ADDPD X10, X6 \ |
| MOVUPS (A_PTR)(LDA*1), X11 \ |
| ADDPD X11, X7 \ |
| MOVUPS 2*SIZE(A_PTR)(LDA*1), X12 \ |
| ADDPD X12, X8 \ |
| MOVUPS X5, (A_PTR) \ |
| MOVUPS X6, 2*SIZE(A_PTR) \ |
| MOVUPS X7, (A_PTR)(LDA*1) \ |
| MOVUPS X8, 2*SIZE(A_PTR)(LDA*1) \ |
| ADDQ $4*SIZE, A_PTR |
| |
| #define KERNEL_2x2 \ |
| MOVUPS X5, X6 \ |
| MULPD X1, X5 \ |
| MULPD X2, X6 |
| |
| #define STORE_2x2 \ |
| MOVUPS (A_PTR), X7 \ |
| ADDPD X7, X5 \ |
| MOVUPS (A_PTR)(LDA*1), X8 \ |
| ADDPD X8, X6 \ |
| MOVUPS X5, (A_PTR) \ |
| MOVUPS X6, (A_PTR)(LDA*1) \ |
| ADDQ $2*SIZE, A_PTR |
| |
| #define KERNEL_2x1 \ |
| MOVSD (Y_PTR), X5 \ |
| MOVSD X5, X6 \ |
| MULSD X1, X5 \ |
| MULSD X2, X6 |
| |
| #define STORE_2x1 \ |
| ADDSD (A_PTR), X5 \ |
| ADDSD (A_PTR)(LDA*1), X6 \ |
| MOVSD X5, (A_PTR) \ |
| MOVSD X6, (A_PTR)(LDA*1) \ |
| ADDQ $SIZE, A_PTR |
| |
| #define KERNEL_1x4 \ |
| MULPD X1, X5 \ |
| MULPD X1, X6 |
| |
| #define STORE_1x4 \ |
| MOVUPS (A_PTR), X7 \ |
| ADDPD X7, X5 \ |
| MOVUPS 2*SIZE(A_PTR), X8 \ |
| ADDPD X8, X6 \ |
| MOVUPS X5, (A_PTR) \ |
| MOVUPS X6, 2*SIZE(A_PTR) \ |
| ADDQ $4*SIZE, A_PTR |
| |
| #define KERNEL_1x2 \ |
| MULPD X1, X5 |
| |
| #define STORE_1x2 \ |
| MOVUPS (A_PTR), X6 \ |
| ADDPD X6, X5 \ |
| MOVUPS X5, (A_PTR) \ |
| ADDQ $2*SIZE, A_PTR |
| |
| #define KERNEL_1x1 \ |
| MOVSD (Y_PTR), X5 \ |
| MULSD X1, X5 |
| |
| #define STORE_1x1 \ |
| ADDSD (A_PTR), X5 \ |
| MOVSD X5, (A_PTR) \ |
| ADDQ $SIZE, A_PTR |
| |
| // func Ger(m, n uintptr, alpha float64, |
| // x []float64, incX uintptr, |
| // y []float64, incY uintptr, |
| // a []float64, lda uintptr) |
| TEXT ·Ger(SB), NOSPLIT, $0 |
| MOVQ M_DIM, M |
| MOVQ N_DIM, N |
| CMPQ M, $0 |
| JE end |
| CMPQ N, $0 |
| JE end |
| |
| MOVDDUP alpha+16(FP), ALPHA |
| |
| MOVQ x_base+24(FP), X_PTR |
| MOVQ y_base+56(FP), Y_PTR |
| MOVQ a_base+88(FP), A_ROW |
| MOVQ incX+48(FP), INC_X // INC_X = incX * sizeof(float64) |
| SHLQ $3, INC_X |
| MOVQ lda+112(FP), LDA // LDA = LDA * sizeof(float64) |
| SHLQ $3, LDA |
| LEAQ (LDA)(LDA*2), LDA3 // LDA3 = LDA * 3 |
| LEAQ (INC_X)(INC_X*2), INC3_X // INC3_X = INC_X * 3 |
| MOVQ A_ROW, A_PTR |
| |
| XORQ TMP2, TMP2 |
| MOVQ M, TMP1 |
| SUBQ $1, TMP1 |
| IMULQ INC_X, TMP1 |
| NEGQ TMP1 |
| CMPQ INC_X, $0 |
| CMOVQLT TMP1, TMP2 |
| LEAQ (X_PTR)(TMP2*SIZE), X_PTR |
| |
| CMPQ incY+80(FP), $1 // Check for dense vector Y (fast-path) |
| JG inc |
| JL end |
| |
| SHRQ $2, M |
| JZ r2 |
| |
| r4: |
| // LOAD 4 |
| LOAD4 |
| |
| MOVQ N_DIM, N |
| SHRQ $2, N |
| JZ r4c2 |
| |
| r4c4: |
| // 4x4 KERNEL |
| KERNEL_LOAD4 |
| KERNEL_4x4 |
| STORE_4x4 |
| |
| ADDQ $4*SIZE, Y_PTR |
| |
| DECQ N |
| JNZ r4c4 |
| |
| // Reload ALPHA after it's clobbered by STORE_4x4 |
| MOVDDUP alpha+16(FP), ALPHA |
| |
| r4c2: |
| TESTQ $2, N_DIM |
| JZ r4c1 |
| |
| // 4x2 KERNEL |
| KERNEL_LOAD2 |
| KERNEL_4x2 |
| STORE_4x2 |
| |
| ADDQ $2*SIZE, Y_PTR |
| |
| r4c1: |
| TESTQ $1, N_DIM |
| JZ r4end |
| |
| // 4x1 KERNEL |
| KERNEL_4x1 |
| STORE_4x1 |
| |
| ADDQ $SIZE, Y_PTR |
| |
| r4end: |
| LEAQ (X_PTR)(INC_X*4), X_PTR |
| MOVQ Y, Y_PTR |
| LEAQ (A_ROW)(LDA*4), A_ROW |
| MOVQ A_ROW, A_PTR |
| |
| DECQ M |
| JNZ r4 |
| |
| r2: |
| TESTQ $2, M_DIM |
| JZ r1 |
| |
| // LOAD 2 |
| LOAD2 |
| |
| MOVQ N_DIM, N |
| SHRQ $2, N |
| JZ r2c2 |
| |
| r2c4: |
| // 2x4 KERNEL |
| KERNEL_LOAD4 |
| KERNEL_2x4 |
| STORE_2x4 |
| |
| ADDQ $4*SIZE, Y_PTR |
| |
| DECQ N |
| JNZ r2c4 |
| |
| r2c2: |
| TESTQ $2, N_DIM |
| JZ r2c1 |
| |
| // 2x2 KERNEL |
| KERNEL_LOAD2 |
| KERNEL_2x2 |
| STORE_2x2 |
| |
| ADDQ $2*SIZE, Y_PTR |
| |
| r2c1: |
| TESTQ $1, N_DIM |
| JZ r2end |
| |
| // 2x1 KERNEL |
| KERNEL_2x1 |
| STORE_2x1 |
| |
| ADDQ $SIZE, Y_PTR |
| |
| r2end: |
| LEAQ (X_PTR)(INC_X*2), X_PTR |
| MOVQ Y, Y_PTR |
| LEAQ (A_ROW)(LDA*2), A_ROW |
| MOVQ A_ROW, A_PTR |
| |
| r1: |
| TESTQ $1, M_DIM |
| JZ end |
| |
| // LOAD 1 |
| LOAD1 |
| |
| MOVQ N_DIM, N |
| SHRQ $2, N |
| JZ r1c2 |
| |
| r1c4: |
| // 1x4 KERNEL |
| KERNEL_LOAD4 |
| KERNEL_1x4 |
| STORE_1x4 |
| |
| ADDQ $4*SIZE, Y_PTR |
| |
| DECQ N |
| JNZ r1c4 |
| |
| r1c2: |
| TESTQ $2, N_DIM |
| JZ r1c1 |
| |
| // 1x2 KERNEL |
| KERNEL_LOAD2 |
| KERNEL_1x2 |
| STORE_1x2 |
| |
| ADDQ $2*SIZE, Y_PTR |
| |
| r1c1: |
| TESTQ $1, N_DIM |
| JZ end |
| |
| // 1x1 KERNEL |
| KERNEL_1x1 |
| STORE_1x1 |
| |
| ADDQ $SIZE, Y_PTR |
| |
| end: |
| RET |
| |
| inc: // Algorithm for incY != 1 ( split loads in kernel ) |
| |
| MOVQ incY+80(FP), INC_Y // INC_Y = incY * sizeof(float64) |
| SHLQ $3, INC_Y |
| LEAQ (INC_Y)(INC_Y*2), INC3_Y // INC3_Y = INC_Y * 3 |
| |
| XORQ TMP2, TMP2 |
| MOVQ N, TMP1 |
| SUBQ $1, TMP1 |
| IMULQ INC_Y, TMP1 |
| NEGQ TMP1 |
| CMPQ INC_Y, $0 |
| CMOVQLT TMP1, TMP2 |
| LEAQ (Y_PTR)(TMP2*SIZE), Y_PTR |
| |
| SHRQ $2, M |
| JZ inc_r2 |
| |
| inc_r4: |
| // LOAD 4 |
| LOAD4 |
| |
| MOVQ N_DIM, N |
| SHRQ $2, N |
| JZ inc_r4c2 |
| |
| inc_r4c4: |
| // 4x4 KERNEL |
| KERNEL_LOAD4_INC |
| KERNEL_4x4 |
| STORE_4x4 |
| |
| LEAQ (Y_PTR)(INC_Y*4), Y_PTR |
| DECQ N |
| JNZ inc_r4c4 |
| |
| // Reload ALPHA after it's clobbered by STORE_4x4 |
| MOVDDUP alpha+16(FP), ALPHA |
| |
| inc_r4c2: |
| TESTQ $2, N_DIM |
| JZ inc_r4c1 |
| |
| // 4x2 KERNEL |
| KERNEL_LOAD2_INC |
| KERNEL_4x2 |
| STORE_4x2 |
| |
| LEAQ (Y_PTR)(INC_Y*2), Y_PTR |
| |
| inc_r4c1: |
| TESTQ $1, N_DIM |
| JZ inc_r4end |
| |
| // 4x1 KERNEL |
| KERNEL_4x1 |
| STORE_4x1 |
| |
| ADDQ INC_Y, Y_PTR |
| |
| inc_r4end: |
| LEAQ (X_PTR)(INC_X*4), X_PTR |
| MOVQ Y, Y_PTR |
| LEAQ (A_ROW)(LDA*4), A_ROW |
| MOVQ A_ROW, A_PTR |
| |
| DECQ M |
| JNZ inc_r4 |
| |
| inc_r2: |
| TESTQ $2, M_DIM |
| JZ inc_r1 |
| |
| // LOAD 2 |
| LOAD2 |
| |
| MOVQ N_DIM, N |
| SHRQ $2, N |
| JZ inc_r2c2 |
| |
| inc_r2c4: |
| // 2x4 KERNEL |
| KERNEL_LOAD4_INC |
| KERNEL_2x4 |
| STORE_2x4 |
| |
| LEAQ (Y_PTR)(INC_Y*4), Y_PTR |
| DECQ N |
| JNZ inc_r2c4 |
| |
| inc_r2c2: |
| TESTQ $2, N_DIM |
| JZ inc_r2c1 |
| |
| // 2x2 KERNEL |
| KERNEL_LOAD2_INC |
| KERNEL_2x2 |
| STORE_2x2 |
| |
| LEAQ (Y_PTR)(INC_Y*2), Y_PTR |
| |
| inc_r2c1: |
| TESTQ $1, N_DIM |
| JZ inc_r2end |
| |
| // 2x1 KERNEL |
| KERNEL_2x1 |
| STORE_2x1 |
| |
| ADDQ INC_Y, Y_PTR |
| |
| inc_r2end: |
| LEAQ (X_PTR)(INC_X*2), X_PTR |
| MOVQ Y, Y_PTR |
| LEAQ (A_ROW)(LDA*2), A_ROW |
| MOVQ A_ROW, A_PTR |
| |
| inc_r1: |
| TESTQ $1, M_DIM |
| JZ end |
| |
| // LOAD 1 |
| LOAD1 |
| |
| MOVQ N_DIM, N |
| SHRQ $2, N |
| JZ inc_r1c2 |
| |
| inc_r1c4: |
| // 1x4 KERNEL |
| KERNEL_LOAD4_INC |
| KERNEL_1x4 |
| STORE_1x4 |
| |
| LEAQ (Y_PTR)(INC_Y*4), Y_PTR |
| DECQ N |
| JNZ inc_r1c4 |
| |
| inc_r1c2: |
| TESTQ $2, N_DIM |
| JZ inc_r1c1 |
| |
| // 1x2 KERNEL |
| KERNEL_LOAD2_INC |
| KERNEL_1x2 |
| STORE_1x2 |
| |
| LEAQ (Y_PTR)(INC_Y*2), Y_PTR |
| |
| inc_r1c1: |
| TESTQ $1, N_DIM |
| JZ end |
| |
| // 1x1 KERNEL |
| KERNEL_1x1 |
| STORE_1x1 |
| |
| ADDQ INC_Y, Y_PTR |
| |
| inc_end: |
| RET |
