github.com/gonum/lapack@v0.0.0-20181123203213-e4cdc5a0bff9/testlapack/dorm2r.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  	"math/rand"
     9  	"testing"
    10  
    11  	"github.com/gonum/blas"
    12  	"github.com/gonum/blas/blas64"
    13  	"github.com/gonum/floats"
    14  )
    15  
    16  type Dorm2rer interface {
    17  	Dgeqrfer
    18  	Dorm2r(side blas.Side, trans blas.Transpose, m, n, k int, a []float64, lda int, tau, c []float64, ldc int, work []float64)
    19  }
    20  
    21  func Dorm2rTest(t *testing.T, impl Dorm2rer) {
    22  	rnd := rand.New(rand.NewSource(1))
    23  	for _, side := range []blas.Side{blas.Left, blas.Right} {
    24  		for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
    25  			for _, test := range []struct {
    26  				common, adim, cdim, lda, ldc int
    27  			}{
    28  				{3, 4, 5, 0, 0},
    29  				{3, 5, 4, 0, 0},
    30  				{4, 3, 5, 0, 0},
    31  				{4, 5, 3, 0, 0},
    32  				{5, 3, 4, 0, 0},
    33  				{5, 4, 3, 0, 0},
    34  				{3, 4, 5, 6, 20},
    35  				{3, 5, 4, 6, 20},
    36  				{4, 3, 5, 6, 20},
    37  				{4, 5, 3, 6, 20},
    38  				{5, 3, 4, 6, 20},
    39  				{5, 4, 3, 6, 20},
    40  				{3, 4, 5, 20, 6},
    41  				{3, 5, 4, 20, 6},
    42  				{4, 3, 5, 20, 6},
    43  				{4, 5, 3, 20, 6},
    44  				{5, 3, 4, 20, 6},
    45  				{5, 4, 3, 20, 6},
    46  			} {
    47  				var ma, na, mc, nc int
    48  				if side == blas.Left {
    49  					ma = test.common
    50  					na = test.adim
    51  					mc = test.common
    52  					nc = test.cdim
    53  				} else {
    54  					ma = test.common
    55  					na = test.adim
    56  					mc = test.cdim
    57  					nc = test.common
    58  				}
    59  
    60  				// Generate a random matrix
    61  				lda := test.lda
    62  				if lda == 0 {
    63  					lda = na
    64  				}
    65  				a := make([]float64, ma*lda)
    66  				for i := range a {
    67  					a[i] = rnd.Float64()
    68  				}
    69  				ldc := test.ldc
    70  				if ldc == 0 {
    71  					ldc = nc
    72  				}
    73  				// Compute random C matrix
    74  				c := make([]float64, mc*ldc)
    75  				for i := range c {
    76  					c[i] = rnd.Float64()
    77  				}
    78  
    79  				// Compute QR
    80  				k := min(ma, na)
    81  				tau := make([]float64, k)
    82  				work := make([]float64, 1)
    83  				impl.Dgeqrf(ma, na, a, lda, tau, work, -1)
    84  				work = make([]float64, int(work[0]))
    85  				impl.Dgeqrf(ma, na, a, lda, tau, work, len(work))
    86  
    87  				// Build Q from result
    88  				q := constructQ("QR", ma, na, a, lda, tau)
    89  
    90  				cMat := blas64.General{
    91  					Rows:   mc,
    92  					Cols:   nc,
    93  					Stride: ldc,
    94  					Data:   make([]float64, len(c)),
    95  				}
    96  				copy(cMat.Data, c)
    97  				cMatCopy := blas64.General{
    98  					Rows:   cMat.Rows,
    99  					Cols:   cMat.Cols,
   100  					Stride: cMat.Stride,
   101  					Data:   make([]float64, len(cMat.Data)),
   102  				}
   103  				copy(cMatCopy.Data, cMat.Data)
   104  				switch {
   105  				default:
   106  					panic("bad test")
   107  				case side == blas.Left && trans == blas.NoTrans:
   108  					blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
   109  				case side == blas.Left && trans == blas.Trans:
   110  					blas64.Gemm(blas.Trans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
   111  				case side == blas.Right && trans == blas.NoTrans:
   112  					blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, cMatCopy, q, 0, cMat)
   113  				case side == blas.Right && trans == blas.Trans:
   114  					blas64.Gemm(blas.NoTrans, blas.Trans, 1, cMatCopy, q, 0, cMat)
   115  				}
   116  				// Do Dorm2r ard compare
   117  				if side == blas.Left {
   118  					work = make([]float64, nc)
   119  				} else {
   120  					work = make([]float64, mc)
   121  				}
   122  				aCopy := make([]float64, len(a))
   123  				copy(aCopy, a)
   124  				tauCopy := make([]float64, len(tau))
   125  				copy(tauCopy, tau)
   126  				impl.Dorm2r(side, trans, mc, nc, k, a, lda, tau, c, ldc, work)
   127  				if !floats.Equal(a, aCopy) {
   128  					t.Errorf("a changed in call")
   129  				}
   130  				if !floats.Equal(tau, tauCopy) {
   131  					t.Errorf("tau changed in call")
   132  				}
   133  				if !floats.EqualApprox(cMat.Data, c, 1e-14) {
   134  					t.Errorf("Multiplication mismatch.\n Want %v \n got %v.", cMat.Data, c)
   135  				}
   136  			}
   137  		}
   138  	}
   139  }