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110 lines
2.4 KiB
Go
110 lines
2.4 KiB
Go
package testlapack
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import (
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"math/rand"
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"testing"
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"github.com/gonum/blas"
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"github.com/gonum/blas/blas64"
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"github.com/gonum/floats"
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)
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type Dgetrser interface {
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Dgetrfer
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Dgetrs(trans blas.Transpose, n, nrhs int, a []float64, lda int, ipiv []int, b []float64, ldb int)
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}
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func DgetrsTest(t *testing.T, impl Dgetrser) {
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rnd := rand.New(rand.NewSource(1))
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// TODO(btracey): Put more thought into creating more regularized matrices
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// and what correct tolerances should be. Consider also seeding the random
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// number in this test to make it more robust to code changes in other
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// parts of the suite.
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for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
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for _, test := range []struct {
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n, nrhs, lda, ldb int
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tol float64
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}{
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{3, 3, 0, 0, 1e-12},
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{3, 5, 0, 0, 1e-12},
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{5, 3, 0, 0, 1e-12},
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{3, 3, 8, 10, 1e-12},
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{3, 5, 8, 10, 1e-12},
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{5, 3, 8, 10, 1e-12},
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{300, 300, 0, 0, 1e-8},
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{300, 500, 0, 0, 1e-8},
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{500, 300, 0, 0, 1e-6},
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{300, 300, 700, 600, 1e-8},
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{300, 500, 700, 600, 1e-8},
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{500, 300, 700, 600, 1e-6},
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} {
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n := test.n
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nrhs := test.nrhs
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lda := test.lda
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if lda == 0 {
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lda = n
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}
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ldb := test.ldb
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if ldb == 0 {
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ldb = nrhs
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}
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a := make([]float64, n*lda)
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for i := range a {
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a[i] = rnd.Float64()
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}
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b := make([]float64, n*ldb)
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for i := range b {
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b[i] = rnd.Float64()
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}
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aCopy := make([]float64, len(a))
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copy(aCopy, a)
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bCopy := make([]float64, len(b))
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copy(bCopy, b)
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ipiv := make([]int, n)
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for i := range ipiv {
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ipiv[i] = rnd.Int()
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}
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// Compute the LU factorization.
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impl.Dgetrf(n, n, a, lda, ipiv)
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// Solve the system of equations given the result.
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impl.Dgetrs(trans, n, nrhs, a, lda, ipiv, b, ldb)
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// Check that the system of equations holds.
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A := blas64.General{
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Rows: n,
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Cols: n,
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Stride: lda,
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Data: aCopy,
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}
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B := blas64.General{
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Rows: n,
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Cols: nrhs,
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Stride: ldb,
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Data: bCopy,
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}
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X := blas64.General{
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Rows: n,
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Cols: nrhs,
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Stride: ldb,
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Data: b,
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}
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tmp := blas64.General{
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Rows: n,
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Cols: nrhs,
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Stride: ldb,
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Data: make([]float64, n*ldb),
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}
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copy(tmp.Data, bCopy)
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blas64.Gemm(trans, blas.NoTrans, 1, A, X, 0, B)
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if !floats.EqualApprox(tmp.Data, bCopy, test.tol) {
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t.Errorf("Linear solve mismatch. trans = %v, n = %v, nrhs = %v, lda = %v, ldb = %v", trans, n, nrhs, lda, ldb)
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}
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}
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}
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}
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