github.com/gopherd/gonum@v0.0.4/lapack/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  	"testing"
     9  
    10  	"math/rand"
    11  
    12  	"github.com/gopherd/gonum/blas"
    13  	"github.com/gopherd/gonum/blas/blas64"
    14  	"github.com/gopherd/gonum/floats"
    15  )
    16  
    17  type Dorm2rer interface {
    18  	Dgeqrfer
    19  	Dorm2r(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 Dorm2rTest(t *testing.T, impl Dorm2rer) {
    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  				var ma, na, mc, nc int
    49  				if side == blas.Left {
    50  					ma = test.common
    51  					na = test.adim
    52  					mc = test.common
    53  					nc = test.cdim
    54  				} else {
    55  					ma = test.common
    56  					na = test.adim
    57  					mc = test.cdim
    58  					nc = test.common
    59  				}
    60  
    61  				// Generate a random matrix
    62  				lda := test.lda
    63  				if lda == 0 {
    64  					lda = na
    65  				}
    66  				a := make([]float64, ma*lda)
    67  				for i := range a {
    68  					a[i] = rnd.Float64()
    69  				}
    70  				ldc := test.ldc
    71  				if ldc == 0 {
    72  					ldc = nc
    73  				}
    74  				// Compute random C matrix
    75  				c := make([]float64, mc*ldc)
    76  				for i := range c {
    77  					c[i] = rnd.Float64()
    78  				}
    79  
    80  				// Compute QR
    81  				k := min(ma, na)
    82  				tau := make([]float64, k)
    83  				work := make([]float64, 1)
    84  				impl.Dgeqrf(ma, na, a, lda, tau, work, -1)
    85  				work = make([]float64, int(work[0]))
    86  				impl.Dgeqrf(ma, na, a, lda, tau, work, len(work))
    87  
    88  				// Build Q from result
    89  				q := constructQ("QR", ma, na, a, lda, tau)
    90  
    91  				cMat := blas64.General{
    92  					Rows:   mc,
    93  					Cols:   nc,
    94  					Stride: ldc,
    95  					Data:   make([]float64, len(c)),
    96  				}
    97  				copy(cMat.Data, c)
    98  				cMatCopy := blas64.General{
    99  					Rows:   cMat.Rows,
   100  					Cols:   cMat.Cols,
   101  					Stride: cMat.Stride,
   102  					Data:   make([]float64, len(cMat.Data)),
   103  				}
   104  				copy(cMatCopy.Data, cMat.Data)
   105  				switch {
   106  				default:
   107  					panic("bad test")
   108  				case side == blas.Left && trans == blas.NoTrans:
   109  					blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
   110  				case side == blas.Left && trans == blas.Trans:
   111  					blas64.Gemm(blas.Trans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
   112  				case side == blas.Right && trans == blas.NoTrans:
   113  					blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, cMatCopy, q, 0, cMat)
   114  				case side == blas.Right && trans == blas.Trans:
   115  					blas64.Gemm(blas.NoTrans, blas.Trans, 1, cMatCopy, q, 0, cMat)
   116  				}
   117  				// Do Dorm2r ard compare
   118  				if side == blas.Left {
   119  					work = make([]float64, nc)
   120  				} else {
   121  					work = make([]float64, mc)
   122  				}
   123  				aCopy := make([]float64, len(a))
   124  				copy(aCopy, a)
   125  				tauCopy := make([]float64, len(tau))
   126  				copy(tauCopy, tau)
   127  				impl.Dorm2r(side, trans, mc, nc, k, a, lda, tau, c, ldc, work)
   128  				if !floats.Equal(a, aCopy) {
   129  					t.Errorf("a changed in call")
   130  				}
   131  				if !floats.Equal(tau, tauCopy) {
   132  					t.Errorf("tau changed in call")
   133  				}
   134  				if !floats.EqualApprox(cMat.Data, c, 1e-14) {
   135  					t.Errorf("Multiplication mismatch.\n Want %v \n got %v.", cMat.Data, c)
   136  				}
   137  			}
   138  		}
   139  	}
   140  }