// This file contains code from the gonum repository: // https://github.com/gonum/gonum/blob/master/internal/asm/f64/scalunitaryto_amd64.s // it is distributed under the 3-Clause BSD license: // // Copyright ©2013 The Gonum 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 the Gonum project nor the names of its authors and // 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 HOLDER 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. // // 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 #include "textflag.h" #define X_PTR SI #define Y_PTR DX #define DST_PTR DI #define IDX AX #define LEN CX #define TAIL BX #define ALPHA X0 #define ALPHA_2 X1 // func axpyUnitaryTo(dst []float64, alpha float64, x, y []float64) TEXT ·axpyUnitaryTo(SB), NOSPLIT, $0 MOVQ dst_base+0(FP), DST_PTR // DST_PTR := &dst MOVQ x_base+32(FP), X_PTR // X_PTR := &x MOVQ y_base+56(FP), Y_PTR // Y_PTR := &y MOVQ x_len+40(FP), LEN // LEN = min( len(x), len(y), len(dst) ) CMPQ y_len+64(FP), LEN CMOVQLE y_len+64(FP), LEN CMPQ dst_len+8(FP), LEN CMOVQLE dst_len+8(FP), LEN CMPQ LEN, $0 JE end // if LEN == 0 { return } XORQ IDX, IDX // IDX = 0 MOVSD alpha+24(FP), ALPHA SHUFPD $0, ALPHA, ALPHA // ALPHA := { alpha, alpha } MOVQ Y_PTR, TAIL // Check memory alignment ANDQ $15, TAIL // TAIL = &y % 16 JZ no_trim // if TAIL == 0 { goto no_trim } // Align on 16-byte boundary MOVSD (X_PTR), X2 // X2 := x[0] MULSD ALPHA, X2 // X2 *= a ADDSD (Y_PTR), X2 // X2 += y[0] MOVSD X2, (DST_PTR) // y[0] = X2 INCQ IDX // i++ DECQ LEN // LEN-- JZ end // if LEN == 0 { return } no_trim: MOVQ LEN, TAIL ANDQ $7, TAIL // TAIL := n % 8 SHRQ $3, LEN // LEN = floor( n / 8 ) JZ tail_start // if LEN == 0 { goto tail_start } MOVUPS ALPHA, ALPHA_2 // ALPHA_2 := ALPHA for pipelining loop: // do { // y[i] += alpha * x[i] unrolled 8x. MOVUPS (X_PTR)(IDX*8), X2 // X_i = x[i] MOVUPS 16(X_PTR)(IDX*8), X3 MOVUPS 32(X_PTR)(IDX*8), X4 MOVUPS 48(X_PTR)(IDX*8), X5 MULPD ALPHA, X2 // X_i *= alpha MULPD ALPHA_2, X3 MULPD ALPHA, X4 MULPD ALPHA_2, X5 ADDPD (Y_PTR)(IDX*8), X2 // X_i += y[i] ADDPD 16(Y_PTR)(IDX*8), X3 ADDPD 32(Y_PTR)(IDX*8), X4 ADDPD 48(Y_PTR)(IDX*8), X5 MOVUPS X2, (DST_PTR)(IDX*8) // y[i] = X_i MOVUPS X3, 16(DST_PTR)(IDX*8) MOVUPS X4, 32(DST_PTR)(IDX*8) MOVUPS X5, 48(DST_PTR)(IDX*8) ADDQ $8, IDX // i += 8 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( TAIL / 2 ) JZ tail_one // if LEN == 0 { goto tail } tail_two: // do { MOVUPS (X_PTR)(IDX*8), X2 // X2 = x[i] MULPD ALPHA, X2 // X2 *= alpha ADDPD (Y_PTR)(IDX*8), X2 // X2 += y[i] MOVUPS X2, (DST_PTR)(IDX*8) // y[i] = X2 ADDQ $2, IDX // i += 2 DECQ LEN JNZ tail_two // } while --LEN > 0 ANDQ $1, TAIL JZ end // if TAIL == 0 { goto end } tail_one: MOVSD (X_PTR)(IDX*8), X2 // X2 = x[i] MULSD ALPHA, X2 // X2 *= a ADDSD (Y_PTR)(IDX*8), X2 // X2 += y[i] MOVSD X2, (DST_PTR)(IDX*8) // y[i] = X2 end: RET