| // 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 ( |
| "log" |
| "testing" |
| |
| "gonum.org/v1/gonum/floats" |
| "gonum.org/v1/gonum/lapack" |
| ) |
| |
| type Dgeconer interface { |
| Dlanger |
| Dgetrfer |
| Dgecon(norm lapack.MatrixNorm, n int, a []float64, lda int, anorm float64, work []float64, iwork []int) float64 |
| } |
| |
| func DgeconTest(t *testing.T, impl Dgeconer) { |
| for _, test := range []struct { |
| m int |
| n int |
| a []float64 |
| condOne float64 |
| condInf float64 |
| }{ |
| { |
| a: []float64{ |
| 8, 1, 6, |
| 3, 5, 7, |
| 4, 9, 2, |
| }, |
| m: 3, |
| n: 3, |
| condOne: 3.0 / 16, |
| condInf: 3.0 / 16, |
| }, |
| { |
| a: []float64{ |
| 2, 9, 3, 2, |
| 10, 9, 9, 3, |
| 1, 1, 5, 2, |
| 8, 4, 10, 2, |
| }, |
| m: 4, |
| n: 4, |
| condOne: 0.024740155174938, |
| condInf: 0.012034465570035, |
| }, |
| // Dgecon does not match Dpocon for this case. https://github.com/xianyi/OpenBLAS/issues/664. |
| { |
| a: []float64{ |
| 2.9995576045549965, -2.0898894566158663, 3.965560740124006, |
| -2.0898894566158663, 1.9634729526261008, -2.8681002706874104, |
| 3.965560740124006, -2.8681002706874104, 5.502416670471008, |
| }, |
| m: 3, |
| n: 3, |
| condOne: 0.024054837369015203, |
| condInf: 0.024054837369015203, |
| }, |
| } { |
| m := test.m |
| n := test.n |
| lda := n |
| a := make([]float64, len(test.a)) |
| copy(a, test.a) |
| ipiv := make([]int, min(m, n)) |
| |
| // Find the norms of the original matrix. |
| work := make([]float64, 4*n) |
| oneNorm := impl.Dlange(lapack.MaxColumnSum, m, n, a, lda, work) |
| infNorm := impl.Dlange(lapack.MaxRowSum, m, n, a, lda, work) |
| |
| // Compute LU factorization of a. |
| impl.Dgetrf(m, n, a, lda, ipiv) |
| |
| // Compute the condition number |
| iwork := make([]int, n) |
| condOne := impl.Dgecon(lapack.MaxColumnSum, n, a, lda, oneNorm, work, iwork) |
| condInf := impl.Dgecon(lapack.MaxRowSum, n, a, lda, infNorm, work, iwork) |
| |
| // Error if not the same order, otherwise log the difference. |
| if !floats.EqualWithinAbsOrRel(condOne, test.condOne, 1e0, 1e0) { |
| t.Errorf("One norm mismatch. Want %v, got %v.", test.condOne, condOne) |
| } else if !floats.EqualWithinAbsOrRel(condOne, test.condOne, 1e-14, 1e-14) { |
| log.Printf("Dgecon one norm mismatch. Want %v, got %v.", test.condOne, condOne) |
| } |
| if !floats.EqualWithinAbsOrRel(condInf, test.condInf, 1e0, 1e0) { |
| t.Errorf("One norm mismatch. Want %v, got %v.", test.condInf, condInf) |
| } else if !floats.EqualWithinAbsOrRel(condInf, test.condInf, 1e-14, 1e-14) { |
| log.Printf("Dgecon one norm mismatch. Want %v, got %v.", test.condInf, condInf) |
| } |
| } |
| } |