gonum.org/v1/gonum@v0.14.0/blas/testblas/dgbmv.go (about)

     1  // Copyright ©2014 The Gonum Authors. All rights reserved.
     2  // Use of this source code is governed by a BSD-style
     3  // license that can be found in the LICENSE file.
     4  
     5  package testblas
     6  
     7  import (
     8  	"testing"
     9  
    10  	"gonum.org/v1/gonum/blas"
    11  )
    12  
    13  type Dgbmver interface {
    14  	Dgbmv(tA blas.Transpose, m, n, kL, kU int, alpha float64, a []float64, lda int, x []float64, incX int, beta float64, y []float64, incY int)
    15  }
    16  
    17  func DgbmvTest(t *testing.T, blasser Dgbmver) {
    18  	for i, test := range []struct {
    19  		tA     blas.Transpose
    20  		m, n   int
    21  		kL, kU int
    22  		alpha  float64
    23  		a      [][]float64
    24  		lda    int
    25  		x      []float64
    26  		beta   float64
    27  		y      []float64
    28  		ans    []float64
    29  	}{
    30  		{
    31  			tA:    blas.NoTrans,
    32  			m:     9,
    33  			n:     6,
    34  			lda:   4,
    35  			kL:    2,
    36  			kU:    1,
    37  			alpha: 3.0,
    38  			beta:  2.0,
    39  			a: [][]float64{
    40  				{5, 3, 0, 0, 0, 0},
    41  				{-1, 2, 9, 0, 0, 0},
    42  				{4, 8, 3, 6, 0, 0},
    43  				{0, -1, 8, 2, 1, 0},
    44  				{0, 0, 9, 9, 9, 5},
    45  				{0, 0, 0, 2, -3, 2},
    46  				{0, 0, 0, 0, 1, 5},
    47  				{0, 0, 0, 0, 0, 6},
    48  			},
    49  			x:   []float64{1, 2, 3, 4, 5, 6},
    50  			y:   []float64{-1, -2, -3, -4, -5, -6, -7, -8, -9},
    51  			ans: []float64{31, 86, 153, 97, 404, 3, 91, 92, -18},
    52  		},
    53  		{
    54  			tA:    blas.Trans,
    55  			m:     9,
    56  			n:     6,
    57  			lda:   4,
    58  			kL:    2,
    59  			kU:    1,
    60  			alpha: 3.0,
    61  			beta:  2.0,
    62  			a: [][]float64{
    63  				{5, 3, 0, 0, 0, 0},
    64  				{-1, 2, 9, 0, 0, 0},
    65  				{4, 8, 3, 6, 0, 0},
    66  				{0, -1, 8, 2, 1, 0},
    67  				{0, 0, 9, 9, 9, 5},
    68  				{0, 0, 0, 2, -3, 2},
    69  				{0, 0, 0, 0, 1, 5},
    70  				{0, 0, 0, 0, 0, 6},
    71  			},
    72  			x:   []float64{1, 2, 3, 4, 5, 6, 7, 8, 9},
    73  			y:   []float64{-1, -2, -3, -4, -5, -6},
    74  			ans: []float64{43, 77, 306, 241, 104, 348},
    75  		},
    76  		{
    77  			tA:    blas.NoTrans,
    78  			m:     6,
    79  			n:     3,
    80  			lda:   1,
    81  			kL:    0,
    82  			kU:    0,
    83  			alpha: 2.0,
    84  			beta:  1.0,
    85  			a: [][]float64{
    86  				{1, 0, 0},
    87  				{0, 1, 0},
    88  				{0, 0, 1},
    89  			},
    90  			x:   []float64{1, 2, 3},
    91  			y:   []float64{-1, -2, -3, -4, -5, -6},
    92  			ans: []float64{1, 2, 3, -4, -5, -6},
    93  		},
    94  		{
    95  			tA:    blas.Trans,
    96  			m:     6,
    97  			n:     3,
    98  			lda:   1,
    99  			kL:    0,
   100  			kU:    0,
   101  			alpha: 2.0,
   102  			beta:  1.0,
   103  			a: [][]float64{
   104  				{1, 0, 0},
   105  				{0, 1, 0},
   106  				{0, 0, 1},
   107  				{0, 0, 0},
   108  				{0, 0, 0},
   109  				{0, 0, 0},
   110  			},
   111  			x:   []float64{1, 2, 3, 4, 5, 6},
   112  			y:   []float64{-1, -2, -3},
   113  			ans: []float64{1, 2, 3},
   114  		},
   115  		{
   116  			tA:    blas.NoTrans,
   117  			m:     3,
   118  			n:     5,
   119  			lda:   4,
   120  			kL:    1,
   121  			kU:    2,
   122  			alpha: 2.0,
   123  			beta:  1.0,
   124  			a: [][]float64{
   125  				{1, 2, 3, 0, 0},
   126  				{1, 3, 6, 9, 0},
   127  				{0, 1, 1, 1, 1},
   128  			},
   129  			x:   []float64{1, 2, 3, 4, 5},
   130  			y:   []float64{-1, -2, -3},
   131  			ans: []float64{-1 + 2*(1+4+9), -2 + 2*(1+6+18+36), -3 + 2*(2+3+4+5)},
   132  		},
   133  	} {
   134  		extra := 3
   135  		aFlat := flattenBanded(test.a, test.kU, test.kL)
   136  		incTest := func(incX, incY, extra int) {
   137  			xnew := makeIncremented(test.x, incX, extra)
   138  			ynew := makeIncremented(test.y, incY, extra)
   139  			ans := makeIncremented(test.ans, incY, extra)
   140  			blasser.Dgbmv(test.tA, test.m, test.n, test.kL, test.kU, test.alpha, aFlat, test.lda, xnew, incX, test.beta, ynew, incY)
   141  			if !dSliceTolEqual(ans, ynew) {
   142  				t.Errorf("Case %v: Want %v, got %v", i, ans, ynew)
   143  			}
   144  		}
   145  		incTest(1, 1, extra)
   146  		incTest(1, 3, extra)
   147  		incTest(1, -3, extra)
   148  		incTest(2, 3, extra)
   149  		incTest(2, -3, extra)
   150  		incTest(3, 2, extra)
   151  		incTest(-3, 2, extra)
   152  	}
   153  }