--- /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/floats"
+)
+
+type Dgelqfer interface {
+ Dgelq2er
+ Dgelqf(m, n int, a []float64, lda int, tau, work []float64, lwork int)
+}
+
+func DgelqfTest(t *testing.T, impl Dgelqfer) {
+ rnd := rand.New(rand.NewSource(1))
+ for c, test := range []struct {
+ m, n, lda int
+ }{
+ {10, 5, 0},
+ {5, 10, 0},
+ {10, 10, 0},
+ {300, 5, 0},
+ {3, 500, 0},
+ {200, 200, 0},
+ {300, 200, 0},
+ {204, 300, 0},
+ {1, 3000, 0},
+ {3000, 1, 0},
+ {10, 5, 30},
+ {5, 10, 30},
+ {10, 10, 30},
+ {300, 5, 500},
+ {3, 500, 600},
+ {200, 200, 300},
+ {300, 200, 300},
+ {204, 300, 400},
+ {1, 3000, 4000},
+ {3000, 1, 4000},
+ } {
+ m := test.m
+ n := test.n
+ lda := test.lda
+ if lda == 0 {
+ lda = n
+ }
+ a := make([]float64, m*lda)
+ for i := 0; i < m; i++ {
+ for j := 0; j < n; j++ {
+ a[i*lda+j] = rnd.Float64()
+ }
+ }
+ tau := make([]float64, n)
+ for i := 0; i < n; i++ {
+ tau[i] = rnd.Float64()
+ }
+ aCopy := make([]float64, len(a))
+ copy(aCopy, a)
+ ans := make([]float64, len(a))
+ copy(ans, a)
+ work := make([]float64, m)
+ for i := range work {
+ work[i] = rnd.Float64()
+ }
+ // Compute unblocked QR.
+ impl.Dgelq2(m, n, ans, lda, tau, work)
+ // Compute blocked QR with small work.
+ impl.Dgelqf(m, n, a, lda, tau, work, len(work))
+ if !floats.EqualApprox(ans, a, 1e-12) {
+ t.Errorf("Case %v, mismatch small work.", c)
+ }
+ // Try the full length of work.
+ impl.Dgelqf(m, n, a, lda, tau, work, -1)
+ lwork := int(work[0])
+ work = make([]float64, lwork)
+ copy(a, aCopy)
+ impl.Dgelqf(m, n, a, lda, tau, work, lwork)
+ if !floats.EqualApprox(ans, a, 1e-12) {
+ t.Errorf("Case %v, mismatch large work.", c)
+ }
+
+ // Try a slightly smaller version of work to test blocking code.
+ if len(work) <= m {
+ continue
+ }
+ work = work[1:]
+ lwork--
+ copy(a, aCopy)
+ impl.Dgelqf(m, n, a, lda, tau, work, lwork)
+ if !floats.EqualApprox(ans, a, 1e-12) {
+ t.Errorf("Case %v, mismatch large work.", c)
+ }
+ }
+}