+++ /dev/null
-// 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 (
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/blas"
- "gonum.org/v1/gonum/blas/blas64"
- "gonum.org/v1/gonum/floats"
-)
-
-type Dgelser interface {
- Dgels(trans blas.Transpose, m, n, nrhs int, a []float64, lda int, b []float64, ldb int, work []float64, lwork int) bool
-}
-
-func DgelsTest(t *testing.T, impl Dgelser) {
- rnd := rand.New(rand.NewSource(1))
- for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
- for _, test := range []struct {
- m, n, nrhs, lda, ldb int
- }{
- {3, 4, 5, 0, 0},
- {3, 5, 4, 0, 0},
- {4, 3, 5, 0, 0},
- {4, 5, 3, 0, 0},
- {5, 3, 4, 0, 0},
- {5, 4, 3, 0, 0},
- {3, 4, 5, 10, 20},
- {3, 5, 4, 10, 20},
- {4, 3, 5, 10, 20},
- {4, 5, 3, 10, 20},
- {5, 3, 4, 10, 20},
- {5, 4, 3, 10, 20},
- {3, 4, 5, 20, 10},
- {3, 5, 4, 20, 10},
- {4, 3, 5, 20, 10},
- {4, 5, 3, 20, 10},
- {5, 3, 4, 20, 10},
- {5, 4, 3, 20, 10},
- {200, 300, 400, 0, 0},
- {200, 400, 300, 0, 0},
- {300, 200, 400, 0, 0},
- {300, 400, 200, 0, 0},
- {400, 200, 300, 0, 0},
- {400, 300, 200, 0, 0},
- {200, 300, 400, 500, 600},
- {200, 400, 300, 500, 600},
- {300, 200, 400, 500, 600},
- {300, 400, 200, 500, 600},
- {400, 200, 300, 500, 600},
- {400, 300, 200, 500, 600},
- {200, 300, 400, 600, 500},
- {200, 400, 300, 600, 500},
- {300, 200, 400, 600, 500},
- {300, 400, 200, 600, 500},
- {400, 200, 300, 600, 500},
- {400, 300, 200, 600, 500},
- } {
- m := test.m
- n := test.n
- nrhs := test.nrhs
-
- lda := test.lda
- if lda == 0 {
- lda = n
- }
- a := make([]float64, m*lda)
- for i := range a {
- a[i] = rnd.Float64()
- }
- aCopy := make([]float64, len(a))
- copy(aCopy, a)
-
- // Size of b is the same trans or no trans, because the number of rows
- // has to be the max of (m,n).
- mb := max(m, n)
- nb := nrhs
- ldb := test.ldb
- if ldb == 0 {
- ldb = nb
- }
- b := make([]float64, mb*ldb)
- for i := range b {
- b[i] = rnd.Float64()
- }
- bCopy := make([]float64, len(b))
- copy(bCopy, b)
-
- // Find optimal work length.
- work := make([]float64, 1)
- impl.Dgels(trans, m, n, nrhs, a, lda, b, ldb, work, -1)
-
- // Perform linear solve
- work = make([]float64, int(work[0]))
- lwork := len(work)
- for i := range work {
- work[i] = rnd.Float64()
- }
- impl.Dgels(trans, m, n, nrhs, a, lda, b, ldb, work, lwork)
-
- // Check that the answer is correct by comparing to the normal equations.
- aMat := blas64.General{
- Rows: m,
- Cols: n,
- Stride: lda,
- Data: make([]float64, len(aCopy)),
- }
- copy(aMat.Data, aCopy)
- szAta := n
- if trans == blas.Trans {
- szAta = m
- }
- aTA := blas64.General{
- Rows: szAta,
- Cols: szAta,
- Stride: szAta,
- Data: make([]float64, szAta*szAta),
- }
-
- // Compute A^T * A if notrans and A * A^T otherwise.
- if trans == blas.NoTrans {
- blas64.Gemm(blas.Trans, blas.NoTrans, 1, aMat, aMat, 0, aTA)
- } else {
- blas64.Gemm(blas.NoTrans, blas.Trans, 1, aMat, aMat, 0, aTA)
- }
-
- // Multiply by X.
- X := blas64.General{
- Rows: szAta,
- Cols: nrhs,
- Stride: ldb,
- Data: b,
- }
- ans := blas64.General{
- Rows: aTA.Rows,
- Cols: X.Cols,
- Stride: X.Cols,
- Data: make([]float64, aTA.Rows*X.Cols),
- }
- blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, aTA, X, 0, ans)
-
- B := blas64.General{
- Rows: szAta,
- Cols: nrhs,
- Stride: ldb,
- Data: make([]float64, len(bCopy)),
- }
-
- copy(B.Data, bCopy)
- var ans2 blas64.General
- if trans == blas.NoTrans {
- ans2 = blas64.General{
- Rows: aMat.Cols,
- Cols: B.Cols,
- Stride: B.Cols,
- Data: make([]float64, aMat.Cols*B.Cols),
- }
- } else {
- ans2 = blas64.General{
- Rows: aMat.Rows,
- Cols: B.Cols,
- Stride: B.Cols,
- Data: make([]float64, aMat.Rows*B.Cols),
- }
- }
-
- // Compute A^T B if Trans or A * B otherwise
- if trans == blas.NoTrans {
- blas64.Gemm(blas.Trans, blas.NoTrans, 1, aMat, B, 0, ans2)
- } else {
- blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, aMat, B, 0, ans2)
- }
- if !floats.EqualApprox(ans.Data, ans2.Data, 1e-12) {
- t.Errorf("Normal equations not satisfied")
- }
- }
- }
-}
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