github.com/jingcheng-WU/gonum@v0.9.1-0.20210323123734-f1a2a11a8f7b/lapack/testlapack/dormr2.go (about)

     1  // Copyright ©2015 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 testlapack
     6  
     7  import (
     8  	"testing"
     9  
    10  	"golang.org/x/exp/rand"
    11  
    12  	"github.com/jingcheng-WU/gonum/blas"
    13  	"github.com/jingcheng-WU/gonum/blas/blas64"
    14  	"github.com/jingcheng-WU/gonum/floats"
    15  )
    16  
    17  type Dormr2er interface {
    18  	Dgerqf(m, n int, a []float64, lda int, tau, work []float64, lwork int)
    19  	Dormr2(side blas.Side, trans blas.Transpose, m, n, k int, a []float64, lda int, tau, c []float64, ldc int, work []float64)
    20  }
    21  
    22  func Dormr2Test(t *testing.T, impl Dormr2er) {
    23  	rnd := rand.New(rand.NewSource(1))
    24  	for _, side := range []blas.Side{blas.Left, blas.Right} {
    25  		for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
    26  			for _, test := range []struct {
    27  				common, adim, cdim, lda, ldc int
    28  			}{
    29  				{3, 4, 5, 0, 0},
    30  				{3, 5, 4, 0, 0},
    31  				{4, 3, 5, 0, 0},
    32  				{4, 5, 3, 0, 0},
    33  				{5, 3, 4, 0, 0},
    34  				{5, 4, 3, 0, 0},
    35  				{3, 4, 5, 6, 20},
    36  				{3, 5, 4, 6, 20},
    37  				{4, 3, 5, 6, 20},
    38  				{4, 5, 3, 6, 20},
    39  				{5, 3, 4, 6, 20},
    40  				{5, 4, 3, 6, 20},
    41  				{3, 4, 5, 20, 6},
    42  				{3, 5, 4, 20, 6},
    43  				{4, 3, 5, 20, 6},
    44  				{4, 5, 3, 20, 6},
    45  				{5, 3, 4, 20, 6},
    46  				{5, 4, 3, 20, 6},
    47  			} {
    48  				ma := test.adim
    49  				na := test.common
    50  				var mc, nc int
    51  				if side == blas.Left {
    52  					mc = test.common
    53  					nc = test.cdim
    54  				} else {
    55  					mc = test.cdim
    56  					nc = test.common
    57  				}
    58  
    59  				// Generate a random matrix
    60  				lda := test.lda
    61  				if lda == 0 {
    62  					lda = na
    63  				}
    64  				a := make([]float64, ma*lda)
    65  				for i := range a {
    66  					a[i] = rnd.Float64()
    67  				}
    68  				ldc := test.ldc
    69  				if ldc == 0 {
    70  					ldc = nc
    71  				}
    72  				// Compute random C matrix
    73  				c := make([]float64, mc*ldc)
    74  				for i := range c {
    75  					c[i] = rnd.Float64()
    76  				}
    77  
    78  				// Compute RQ
    79  				k := min(ma, na)
    80  				tau := make([]float64, k)
    81  				work := make([]float64, 1)
    82  				impl.Dgerqf(ma, na, a, lda, tau, work, -1)
    83  				work = make([]float64, int(work[0]))
    84  				impl.Dgerqf(ma, na, a, lda, tau, work, len(work))
    85  
    86  				// Build Q from result
    87  				q := constructQ("RQ", ma, na, a, lda, tau)
    88  
    89  				cMat := blas64.General{
    90  					Rows:   mc,
    91  					Cols:   nc,
    92  					Stride: ldc,
    93  					Data:   make([]float64, len(c)),
    94  				}
    95  				copy(cMat.Data, c)
    96  				cMatCopy := blas64.General{
    97  					Rows:   cMat.Rows,
    98  					Cols:   cMat.Cols,
    99  					Stride: cMat.Stride,
   100  					Data:   make([]float64, len(cMat.Data)),
   101  				}
   102  				copy(cMatCopy.Data, cMat.Data)
   103  				switch {
   104  				default:
   105  					panic("bad test")
   106  				case side == blas.Left && trans == blas.NoTrans:
   107  					blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
   108  				case side == blas.Left && trans == blas.Trans:
   109  					blas64.Gemm(blas.Trans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
   110  				case side == blas.Right && trans == blas.NoTrans:
   111  					blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, cMatCopy, q, 0, cMat)
   112  				case side == blas.Right && trans == blas.Trans:
   113  					blas64.Gemm(blas.NoTrans, blas.Trans, 1, cMatCopy, q, 0, cMat)
   114  				}
   115  				// Do Dorm2r ard compare
   116  				if side == blas.Left {
   117  					work = make([]float64, nc)
   118  				} else {
   119  					work = make([]float64, mc)
   120  				}
   121  				aCopy := make([]float64, len(a))
   122  				copy(aCopy, a)
   123  				tauCopy := make([]float64, len(tau))
   124  				copy(tauCopy, tau)
   125  				impl.Dormr2(side, trans, mc, nc, k, a[(ma-k)*lda:], lda, tau, c, ldc, work)
   126  				if !floats.Equal(a, aCopy) {
   127  					t.Errorf("a changed in call")
   128  				}
   129  				if !floats.Equal(tau, tauCopy) {
   130  					t.Errorf("tau changed in call")
   131  				}
   132  				if !floats.EqualApprox(cMat.Data, c, 1e-14) {
   133  					t.Errorf("Multiplication mismatch.\n Want %v \n got %v.", cMat.Data, c)
   134  				}
   135  			}
   136  		}
   137  	}
   138  }