| // Copyright ©2015 The gonum Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style |
| // license that can be found in the LICENSE file. |
| |
| package testlapack |
| |
| import ( |
| "math" |
| "math/rand" |
| "testing" |
| |
| "gonum.org/v1/gonum/blas" |
| "gonum.org/v1/gonum/lapack" |
| ) |
| |
| type Dlantrer interface { |
| Dlanger |
| Dlantr(norm lapack.MatrixNorm, uplo blas.Uplo, diag blas.Diag, m, n int, a []float64, lda int, work []float64) float64 |
| } |
| |
| func DlantrTest(t *testing.T, impl Dlantrer) { |
| rnd := rand.New(rand.NewSource(1)) |
| for _, norm := range []lapack.MatrixNorm{lapack.MaxAbs, lapack.MaxColumnSum, lapack.MaxRowSum, lapack.NormFrob} { |
| for _, diag := range []blas.Diag{blas.NonUnit, blas.Unit} { |
| for _, uplo := range []blas.Uplo{blas.Lower, blas.Upper} { |
| for _, test := range []struct { |
| m, n, lda int |
| }{ |
| {3, 3, 0}, |
| {3, 5, 0}, |
| {10, 5, 0}, |
| |
| {5, 5, 11}, |
| {5, 10, 11}, |
| {10, 5, 11}, |
| } { |
| // Do a couple of random trials since the values change. |
| for trial := 0; trial < 100; trial++ { |
| m := test.m |
| n := test.n |
| lda := test.lda |
| if lda == 0 { |
| lda = n |
| } |
| a := make([]float64, m*lda) |
| if trial == 0 { |
| for i := range a { |
| a[i] = float64(i) |
| } |
| } else { |
| for i := range a { |
| a[i] = rnd.NormFloat64() |
| } |
| } |
| aDense := make([]float64, len(a)) |
| if uplo == blas.Lower { |
| for i := 0; i < m; i++ { |
| for j := 0; j <= min(i, n-1); j++ { |
| aDense[i*lda+j] = a[i*lda+j] |
| } |
| } |
| } else { |
| for i := 0; i < m; i++ { |
| for j := i; j < n; j++ { |
| aDense[i*lda+j] = a[i*lda+j] |
| } |
| } |
| } |
| if diag == blas.Unit { |
| for i := 0; i < min(m, n); i++ { |
| aDense[i*lda+i] = 1 |
| } |
| } |
| work := make([]float64, n+6) |
| for i := range work { |
| work[i] = rnd.Float64() |
| } |
| got := impl.Dlantr(norm, uplo, diag, m, n, a, lda, work) |
| want := impl.Dlange(norm, m, n, aDense, lda, work) |
| if math.Abs(got-want) > 1e-13 { |
| t.Errorf("Norm mismatch. norm = %c, unitdiag = %v, upper = %v, m = %v, n = %v, lda = %v, Want %v, got %v.", |
| norm, diag == blas.Unit, uplo == blas.Upper, m, n, lda, got, want) |
| } |
| } |
| } |
| } |
| } |
| } |
| } |