mirror of
				https://github.com/gonum/gonum.git
				synced 2025-11-01 02:52:49 +08:00 
			
		
		
		
	
		
			
				
	
	
		
			314 lines
		
	
	
		
			6.3 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
			
		
		
	
	
			314 lines
		
	
	
		
			6.3 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
| // 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.
 | |
| 
 | |
| package testblas
 | |
| 
 | |
| import (
 | |
| 	"testing"
 | |
| 
 | |
| 	"gonum.org/v1/gonum/blas"
 | |
| )
 | |
| 
 | |
| var zher2TestCases = []struct {
 | |
| 	alpha      complex128
 | |
| 	incX, incY int
 | |
| 	x          []complex128
 | |
| 	y          []complex128
 | |
| 	a          []complex128
 | |
| 
 | |
| 	want []complex128
 | |
| }{
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  1,
 | |
| 		incY:  1,
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  1,
 | |
| 		incY:  1,
 | |
| 		x: []complex128{
 | |
| 			-6 + 2i,
 | |
| 			-2 - 4i,
 | |
| 			0 + 0i,
 | |
| 			0 + 7i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			2 - 5i,
 | |
| 			0 + 0i,
 | |
| 			-8 - 9i,
 | |
| 			6 + 6i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			62 + 0i, 43 - 7i, 173 + 1i, -173 + 55i,
 | |
| 			43 + 7i, 16 + 0i, 19 + 120i, -19 - 89i,
 | |
| 			173 - 1i, 19 - 120i, 14 + 0i, 51 + 181i,
 | |
| 			-173 - 55i, -19 + 89i, 51 - 181i, -66 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  1,
 | |
| 		incY:  1,
 | |
| 		x: []complex128{
 | |
| 			-6 + 2i,
 | |
| 			-2 - 4i,
 | |
| 			0 + 0i,
 | |
| 			0 + 7i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			2 - 5i,
 | |
| 			-8 - 9i,
 | |
| 			0 + 0i,
 | |
| 			6 + 6i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			62 + 0i, 213 - 17i, 3 + 11i, -173 + 55i,
 | |
| 			213 + 17i, 64 + 0i, -5 + 2i, 30 + 93i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			-173 - 55i, 30 - 93i, 2 + 1i, -66 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  2,
 | |
| 		incY:  4,
 | |
| 		x: []complex128{
 | |
| 			-6 + 2i,
 | |
| 			-2 - 4i,
 | |
| 			0 + 0i,
 | |
| 			0 + 7i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			2 - 5i,
 | |
| 			-8 - 9i,
 | |
| 			0 + 0i,
 | |
| 			6 + 6i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			62 + 0i, 213 - 17i, 3 + 11i, -173 + 55i,
 | |
| 			213 + 17i, 64 + 0i, -5 + 2i, 30 + 93i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			-173 - 55i, 30 - 93i, 2 + 1i, -66 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  3,
 | |
| 		incY:  7,
 | |
| 		x: []complex128{
 | |
| 			-6 + 2i,
 | |
| 			-2 - 4i,
 | |
| 			0 + 0i,
 | |
| 			0 + 7i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			2 - 5i,
 | |
| 			0 + 0i,
 | |
| 			-8 - 9i,
 | |
| 			6 + 6i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			62 + 0i, 43 - 7i, 173 + 1i, -173 + 55i,
 | |
| 			43 + 7i, 16 + 0i, 19 + 120i, -19 - 89i,
 | |
| 			173 - 1i, 19 - 120i, 14 + 0i, 51 + 181i,
 | |
| 			-173 - 55i, -19 + 89i, 51 - 181i, -66 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  -3,
 | |
| 		incY:  7,
 | |
| 		x: []complex128{
 | |
| 			0 + 7i,
 | |
| 			0 + 0i,
 | |
| 			-2 - 4i,
 | |
| 			-6 + 2i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			2 - 5i,
 | |
| 			0 + 0i,
 | |
| 			-8 - 9i,
 | |
| 			6 + 6i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			62 + 0i, 43 - 7i, 173 + 1i, -173 + 55i,
 | |
| 			43 + 7i, 16 + 0i, 19 + 120i, -19 - 89i,
 | |
| 			173 - 1i, 19 - 120i, 14 + 0i, 51 + 181i,
 | |
| 			-173 - 55i, -19 + 89i, 51 - 181i, -66 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  3,
 | |
| 		incY:  -7,
 | |
| 		x: []complex128{
 | |
| 			-6 + 2i,
 | |
| 			-2 - 4i,
 | |
| 			0 + 0i,
 | |
| 			0 + 7i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			6 + 6i,
 | |
| 			-8 - 9i,
 | |
| 			0 + 0i,
 | |
| 			2 - 5i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			62 + 0i, 43 - 7i, 173 + 1i, -173 + 55i,
 | |
| 			43 + 7i, 16 + 0i, 19 + 120i, -19 - 89i,
 | |
| 			173 - 1i, 19 - 120i, 14 + 0i, 51 + 181i,
 | |
| 			-173 - 55i, -19 + 89i, 51 - 181i, -66 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 1 + 2i,
 | |
| 		incX:  -3,
 | |
| 		incY:  -7,
 | |
| 		x: []complex128{
 | |
| 			0 + 7i,
 | |
| 			0 + 0i,
 | |
| 			-2 - 4i,
 | |
| 			-6 + 2i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			6 + 6i,
 | |
| 			-8 - 9i,
 | |
| 			0 + 0i,
 | |
| 			2 - 5i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			62 + 0i, 43 - 7i, 173 + 1i, -173 + 55i,
 | |
| 			43 + 7i, 16 + 0i, 19 + 120i, -19 - 89i,
 | |
| 			173 - 1i, 19 - 120i, 14 + 0i, 51 + 181i,
 | |
| 			-173 - 55i, -19 + 89i, 51 - 181i, -66 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| 	{
 | |
| 		alpha: 0,
 | |
| 		incX:  1,
 | |
| 		incY:  1,
 | |
| 		x: []complex128{
 | |
| 			-6 + 2i,
 | |
| 			-2 - 4i,
 | |
| 			0 + 0i,
 | |
| 			0 + 7i,
 | |
| 		},
 | |
| 		y: []complex128{
 | |
| 			2 - 5i,
 | |
| 			0 + 0i,
 | |
| 			-8 - 9i,
 | |
| 			6 + 6i,
 | |
| 		},
 | |
| 		a: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 		want: []complex128{
 | |
| 			2 + 0i, -9 + 7i, 3 + 11i, 10 - 1i,
 | |
| 			-9 - 7i, 16 + 0i, -5 + 2i, -7 - 5i,
 | |
| 			3 - 11i, -5 - 2i, 14 + 0i, 2 - 1i,
 | |
| 			10 + 1i, -7 + 5i, 2 + 1i, 18 + 0i,
 | |
| 		},
 | |
| 	},
 | |
| }
 | |
| 
 | |
| type Zher2er interface {
 | |
| 	Zher2(uplo blas.Uplo, n int, alpha complex128, x []complex128, incX int, y []complex128, incY int, a []complex128, lda int)
 | |
| }
 | |
| 
 | |
| func Zher2Test(t *testing.T, impl Zher2er) {
 | |
| 	for tc, test := range zher2TestCases {
 | |
| 		n := len(test.x)
 | |
| 		incX := test.incX
 | |
| 		incY := test.incY
 | |
| 		for _, uplo := range []blas.Uplo{blas.Lower, blas.Upper} {
 | |
| 			for _, lda := range []int{max(1, n), n + 11} {
 | |
| 				x := makeZVector(test.x, incX)
 | |
| 				xCopy := make([]complex128, len(x))
 | |
| 				copy(xCopy, x)
 | |
| 
 | |
| 				y := makeZVector(test.y, incY)
 | |
| 				yCopy := make([]complex128, len(y))
 | |
| 				copy(yCopy, y)
 | |
| 
 | |
| 				a := makeZGeneral(test.a, n, n, lda)
 | |
| 				want := makeZGeneral(test.want, n, n, lda)
 | |
| 
 | |
| 				if uplo == blas.Upper {
 | |
| 					for i := 0; i < n; i++ {
 | |
| 						for j := 0; j < i; j++ {
 | |
| 							a[i*lda+j] = znan
 | |
| 							want[i*lda+j] = znan
 | |
| 						}
 | |
| 					}
 | |
| 				} else {
 | |
| 					for i := 0; i < n; i++ {
 | |
| 						for j := i + 1; j < n; j++ {
 | |
| 							a[i*lda+j] = znan
 | |
| 							want[i*lda+j] = znan
 | |
| 						}
 | |
| 					}
 | |
| 				}
 | |
| 
 | |
| 				impl.Zher2(uplo, n, test.alpha, x, incX, y, incY, a, lda)
 | |
| 
 | |
| 				if !zsame(x, xCopy) {
 | |
| 					t.Errorf("Case %v (uplo=%v,incX=%v,incY=%v,lda=%v: unexpected modification of x", tc, uplo, incX, incY, lda)
 | |
| 				}
 | |
| 				if !zsame(y, yCopy) {
 | |
| 					t.Errorf("Case %v (uplo=%v,incX=%v,incY=%v,lda=%v: unexpected modification of y", tc, uplo, incX, incY, lda)
 | |
| 				}
 | |
| 				if !zsame(want, a) {
 | |
| 					t.Errorf("Case %v (uplo=%v,incX=%v,incY=%v,lda=%v: unexpected result\nwant: %v\ngot:  %v", tc, uplo, incX, incY, lda, want, a)
 | |
| 				}
 | |
| 			}
 | |
| 		}
 | |
| 	}
 | |
| }
 | 
