github.com/jingcheng-WU/gonum@v0.9.1-0.20210323123734-f1a2a11a8f7b/blas/testblas/zaxpy.go (about)

     1  // Copyright ©2017 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  	"fmt"
     9  	"testing"
    10  )
    11  
    12  type Zaxpyer interface {
    13  	Zaxpy(n int, alpha complex128, x []complex128, incX int, y []complex128, incY int)
    14  }
    15  
    16  func ZaxpyTest(t *testing.T, impl Zaxpyer) {
    17  	for tc, test := range []struct {
    18  		alpha complex128
    19  		x, y  []complex128
    20  
    21  		want    []complex128 // Result when both increments have the same sign.
    22  		wantRev []complex128 // Result when the increments have opposite sign.
    23  	}{
    24  		{
    25  			alpha:   0,
    26  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i, 21 + 22i, 23 + 24i},
    27  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i, 57 + 58i, 60 + 61i, 63 + 64i},
    28  			want:    []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i, 57 + 58i, 60 + 61i, 63 + 64i},
    29  			wantRev: []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i, 57 + 58i, 60 + 61i, 63 + 64i},
    30  		},
    31  		{
    32  			alpha:   1,
    33  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i, 21 + 22i, 23 + 24i},
    34  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i, 57 + 58i, 60 + 61i, 63 + 64i},
    35  			want:    []complex128{31 + 33i, 36 + 38i, 41 + 43i, 46 + 48i, 51 + 53i, 56 + 58i, 61 + 63i, 66 + 68i, 71 + 73i, 76 + 78i, 81 + 83i, 86 + 88i},
    36  			wantRev: []complex128{53 + 55i, 54 + 56i, 55 + 57i, 56 + 58i, 57 + 59i, 58 + 60i, 59 + 61i, 60 + 62i, 61 + 63i, 62 + 64i, 63 + 65i, 64 + 66i},
    37  		},
    38  		{
    39  			alpha:   3 + 7i,
    40  			x:       []complex128{1 + 2i},
    41  			y:       []complex128{30 + 31i},
    42  			want:    []complex128{19 + 44i},
    43  			wantRev: []complex128{19 + 44i},
    44  		},
    45  		{
    46  			alpha:   3 + 7i,
    47  			x:       []complex128{1 + 2i, 3 + 4i},
    48  			y:       []complex128{30 + 31i, 33 + 34i},
    49  			want:    []complex128{19 + 44i, 14 + 67i},
    50  			wantRev: []complex128{11 + 64i, 22 + 47i},
    51  		},
    52  		{
    53  			alpha:   3 + 7i,
    54  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i},
    55  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i},
    56  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i},
    57  			wantRev: []complex128{3 + 84i, 14 + 67i, 25 + 50i},
    58  		},
    59  		{
    60  			alpha:   3 + 7i,
    61  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i},
    62  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i},
    63  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i},
    64  			wantRev: []complex128{-5 + 104i, 6 + 87i, 17 + 70i, 28 + 53i},
    65  		},
    66  		{
    67  			alpha:   3 + 7i,
    68  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i},
    69  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i},
    70  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i},
    71  			wantRev: []complex128{-13 + 124i, -2 + 107i, 9 + 90i, 20 + 73i, 31 + 56i},
    72  		},
    73  		{
    74  			alpha:   3 + 7i,
    75  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i},
    76  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i},
    77  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i, -6 + 159i},
    78  			wantRev: []complex128{-21 + 144i, -10 + 127i, 1 + 110i, 12 + 93i, 23 + 76i, 34 + 59i},
    79  		},
    80  		{
    81  			alpha:   3 + 7i,
    82  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i},
    83  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i},
    84  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i, -6 + 159i, -11 + 182i},
    85  			wantRev: []complex128{-29 + 164i, -18 + 147i, -7 + 130i, 4 + 113i, 15 + 96i, 26 + 79i, 37 + 62i},
    86  		},
    87  		{
    88  			alpha:   3 + 7i,
    89  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i},
    90  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i},
    91  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i, -6 + 159i, -11 + 182i, -16 + 205i},
    92  			wantRev: []complex128{-37 + 184i, -26 + 167i, -15 + 150i, -4 + 133i, 7 + 116i, 18 + 99i, 29 + 82i, 40 + 65i},
    93  		},
    94  		{
    95  			alpha:   3 + 7i,
    96  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i},
    97  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i},
    98  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i, -6 + 159i, -11 + 182i, -16 + 205i, -21 + 228i},
    99  			wantRev: []complex128{-45 + 204i, -34 + 187i, -23 + 170i, -12 + 153i, -1 + 136i, 10 + 119i, 21 + 102i, 32 + 85i, 43 + 68i},
   100  		},
   101  		{
   102  			alpha:   3 + 7i,
   103  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i},
   104  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i, 57 + 58i},
   105  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i, -6 + 159i, -11 + 182i, -16 + 205i, -21 + 228i, -26 + 251i},
   106  			wantRev: []complex128{-53 + 224i, -42 + 207i, -31 + 190i, -20 + 173i, -9 + 156i, 2 + 139i, 13 + 122i, 24 + 105i, 35 + 88i, 46 + 71i},
   107  		},
   108  		{
   109  			alpha:   3 + 7i,
   110  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i, 21 + 22i},
   111  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i, 57 + 58i, 60 + 61i},
   112  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i, -6 + 159i, -11 + 182i, -16 + 205i, -21 + 228i, -26 + 251i, -31 + 274i},
   113  			wantRev: []complex128{-61 + 244i, -50 + 227i, -39 + 210i, -28 + 193i, -17 + 176i, -6 + 159i, 5 + 142i, 16 + 125i, 27 + 108i, 38 + 91i, 49 + 74i},
   114  		},
   115  		{
   116  			alpha:   3 + 7i,
   117  			x:       []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i, 21 + 22i, 23 + 24i},
   118  			y:       []complex128{30 + 31i, 33 + 34i, 36 + 37i, 39 + 40i, 42 + 43i, 45 + 46i, 48 + 49i, 51 + 52i, 54 + 55i, 57 + 58i, 60 + 61i, 63 + 64i},
   119  			want:    []complex128{19 + 44i, 14 + 67i, 9 + 90i, 4 + 113i, -1 + 136i, -6 + 159i, -11 + 182i, -16 + 205i, -21 + 228i, -26 + 251i, -31 + 274i, -36 + 297i},
   120  			wantRev: []complex128{-69 + 264i, -58 + 247i, -47 + 230i, -36 + 213i, -25 + 196i, -14 + 179i, -3 + 162i, 8 + 145i, 19 + 128i, 30 + 111i, 41 + 94i, 52 + 77i},
   121  		},
   122  	} {
   123  		n := len(test.x)
   124  		if len(test.y) != n || len(test.want) != n || len(test.wantRev) != n {
   125  			panic("bad test")
   126  		}
   127  		for _, inc := range allPairs([]int{-7, -3, 1, 13}, []int{-11, -5, 1, 17}) {
   128  			incX := inc[0]
   129  			incY := inc[1]
   130  
   131  			x := makeZVector(test.x, incX)
   132  			xCopy := make([]complex128, len(x))
   133  			copy(xCopy, x)
   134  
   135  			y := makeZVector(test.y, incY)
   136  
   137  			var want []complex128
   138  			if incX*incY > 0 {
   139  				want = makeZVector(test.want, incY)
   140  			} else {
   141  				want = makeZVector(test.wantRev, incY)
   142  			}
   143  
   144  			impl.Zaxpy(n, test.alpha, x, incX, y, incY)
   145  
   146  			prefix := fmt.Sprintf("Case %v (incX=%v,incY=%v):", tc, incX, incY)
   147  
   148  			if !zsame(x, xCopy) {
   149  				t.Errorf("%v: unexpected modification of x", prefix)
   150  			}
   151  
   152  			if !zsame(y, want) {
   153  				t.Errorf("%v: unexpected y:\nwant %v\ngot %v", prefix, want, y)
   154  			}
   155  		}
   156  	}
   157  }