// Copyright ©2015 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. // // Some of the loop unrolling code is copied from: // http://golang.org/src/math/big/arith_amd64.s // which is distributed under these terms: // // Copyright (c) 2012 The Go Authors. All rights reserved. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following disclaimer // in the documentation and/or other materials provided with the // distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived from // this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. //+build !noasm,!appengine #include "textflag.h" #define X_PTR SI #define Y_PTR DI #define DST_PTR DI #define IDX AX #define LEN CX #define TAIL BX #define INC_X R8 #define INCx3_X R11 #define INC_Y R9 #define INCx3_Y R12 #define INC_DST R9 #define INCx3_DST R12 #define ALPHA X0 #define ALPHA_2 X1 // func AxpyInc(alpha float64, x, y []float64, n, incX, incY, ix, iy uintptr) TEXT ·AxpyInc(SB), NOSPLIT, $0 MOVQ x_base+8(FP), X_PTR // X_PTR = &x MOVQ y_base+32(FP), Y_PTR // Y_PTR = &y MOVQ n+56(FP), LEN // LEN = n CMPQ LEN, $0 // if LEN == 0 { return } JE end MOVQ ix+80(FP), INC_X MOVQ iy+88(FP), INC_Y LEAQ (X_PTR)(INC_X*8), X_PTR // X_PTR = &(x[ix]) LEAQ (Y_PTR)(INC_Y*8), Y_PTR // Y_PTR = &(y[iy]) MOVQ Y_PTR, DST_PTR // DST_PTR = Y_PTR // Write pointer MOVQ incX+64(FP), INC_X // INC_X = incX * sizeof(float64) SHLQ $3, INC_X MOVQ incY+72(FP), INC_Y // INC_Y = incY * sizeof(float64) SHLQ $3, INC_Y MOVSD alpha+0(FP), ALPHA // ALPHA = alpha MOVQ LEN, TAIL ANDQ $3, TAIL // TAIL = n % 4 SHRQ $2, LEN // LEN = floor( n / 4 ) JZ tail_start // if LEN == 0 { goto tail_start } MOVAPS ALPHA, ALPHA_2 // ALPHA_2 = ALPHA for pipelining LEAQ (INC_X)(INC_X*2), INCx3_X // INCx3_X = INC_X * 3 LEAQ (INC_Y)(INC_Y*2), INCx3_Y // INCx3_Y = INC_Y * 3 loop: // do { // y[i] += alpha * x[i] unrolled 4x. MOVSD (X_PTR), X2 // X_i = x[i] MOVSD (X_PTR)(INC_X*1), X3 MOVSD (X_PTR)(INC_X*2), X4 MOVSD (X_PTR)(INCx3_X*1), X5 MULSD ALPHA, X2 // X_i *= a MULSD ALPHA_2, X3 MULSD ALPHA, X4 MULSD ALPHA_2, X5 ADDSD (Y_PTR), X2 // X_i += y[i] ADDSD (Y_PTR)(INC_Y*1), X3 ADDSD (Y_PTR)(INC_Y*2), X4 ADDSD (Y_PTR)(INCx3_Y*1), X5 MOVSD X2, (DST_PTR) // y[i] = X_i MOVSD X3, (DST_PTR)(INC_DST*1) MOVSD X4, (DST_PTR)(INC_DST*2) MOVSD X5, (DST_PTR)(INCx3_DST*1) LEAQ (X_PTR)(INC_X*4), X_PTR // X_PTR = &(X_PTR[incX*4]) LEAQ (Y_PTR)(INC_Y*4), Y_PTR // Y_PTR = &(Y_PTR[incY*4]) DECQ LEN JNZ loop // } while --LEN > 0 CMPQ TAIL, $0 // if TAIL == 0 { return } JE end tail_start: // Reset Loop registers MOVQ TAIL, LEN // Loop counter: LEN = TAIL SHRQ $1, LEN // LEN = floor( LEN / 2 ) JZ tail_one tail_two: MOVSD (X_PTR), X2 // X_i = x[i] MOVSD (X_PTR)(INC_X*1), X3 MULSD ALPHA, X2 // X_i *= a MULSD ALPHA, X3 ADDSD (Y_PTR), X2 // X_i += y[i] ADDSD (Y_PTR)(INC_Y*1), X3 MOVSD X2, (DST_PTR) // y[i] = X_i MOVSD X3, (DST_PTR)(INC_DST*1) LEAQ (X_PTR)(INC_X*2), X_PTR // X_PTR = &(X_PTR[incX*2]) LEAQ (Y_PTR)(INC_Y*2), Y_PTR // Y_PTR = &(Y_PTR[incY*2]) ANDQ $1, TAIL JZ end // if TAIL == 0 { goto end } tail_one: // y[i] += alpha * x[i] for the last n % 4 iterations. MOVSD (X_PTR), X2 // X2 = x[i] MULSD ALPHA, X2 // X2 *= a ADDSD (Y_PTR), X2 // X2 += y[i] MOVSD X2, (DST_PTR) // y[i] = X2 end: RET