// 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" // func DdotUnitary(x, y []float64) (sum float64) // This function assumes len(y) >= len(x). TEXT ·DotUnitary(SB), NOSPLIT, $0 MOVQ x+0(FP), R8 MOVQ x_len+8(FP), DI // n = len(x) MOVQ y+24(FP), R9 MOVSD $(0.0), X7 // sum = 0 MOVSD $(0.0), X8 // sum = 0 MOVQ $0, SI // i = 0 SUBQ $4, DI // n -= 4 JL tail_uni // if n < 0 goto tail_uni loop_uni: // sum += x[i] * y[i] unrolled 4x. MOVUPD 0(R8)(SI*8), X0 MOVUPD 0(R9)(SI*8), X1 MOVUPD 16(R8)(SI*8), X2 MOVUPD 16(R9)(SI*8), X3 MULPD X1, X0 MULPD X3, X2 ADDPD X0, X7 ADDPD X2, X8 ADDQ $4, SI // i += 4 SUBQ $4, DI // n -= 4 JGE loop_uni // if n >= 0 goto loop_uni tail_uni: ADDQ $4, DI // n += 4 JLE end_uni // if n <= 0 goto end_uni onemore_uni: // sum += x[i] * y[i] for the remaining 1-3 elements. MOVSD 0(R8)(SI*8), X0 MOVSD 0(R9)(SI*8), X1 MULSD X1, X0 ADDSD X0, X7 ADDQ $1, SI // i++ SUBQ $1, DI // n-- JNZ onemore_uni // if n != 0 goto onemore_uni end_uni: // Add the four sums together. ADDPD X8, X7 MOVSD X7, X0 UNPCKHPD X7, X7 ADDSD X0, X7 MOVSD X7, sum+48(FP) // Return final sum. RET // func DdotInc(x, y []float64, n, incX, incY, ix, iy uintptr) (sum float64) TEXT ·DotInc(SB), NOSPLIT, $0 MOVQ x+0(FP), R8 MOVQ y+24(FP), R9 MOVQ n+48(FP), CX MOVQ incX+56(FP), R11 MOVQ incY+64(FP), R12 MOVQ ix+72(FP), R13 MOVQ iy+80(FP), R14 MOVSD $(0.0), X7 // sum = 0 LEAQ (R8)(R13*8), SI // p = &x[ix] LEAQ (R9)(R14*8), DI // q = &y[ix] SHLQ $3, R11 // incX *= sizeof(float64) SHLQ $3, R12 // indY *= sizeof(float64) SUBQ $2, CX // n -= 2 JL tail_inc // if n < 0 goto tail_inc loop_inc: // sum += *p * *q unrolled 2x. MOVHPD (SI), X0 MOVHPD (DI), X1 ADDQ R11, SI // p += incX ADDQ R12, DI // q += incY MOVLPD (SI), X0 MOVLPD (DI), X1 ADDQ R11, SI // p += incX ADDQ R12, DI // q += incY MULPD X1, X0 ADDPD X0, X7 SUBQ $2, CX // n -= 2 JGE loop_inc // if n >= 0 goto loop_inc tail_inc: ADDQ $2, CX // n += 2 JLE end_inc // if n <= 0 goto end_inc // sum += *p * *q for the last iteration if n is odd. MOVSD (SI), X0 MULSD (DI), X0 ADDSD X0, X7 end_inc: // Add the two sums together. MOVSD X7, X0 UNPCKHPD X7, X7 ADDSD X0, X7 MOVSD X7, sum+88(FP) // Return final sum. RET