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// Copyright ©2016 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 (
"fmt"
"math"
"testing"
"golang.org/x/exp/rand"
"gonum.org/v1/gonum/lapack"
)
type Dlascler interface {
Dlascl(kind lapack.MatrixType, kl, ku int, cfrom, cto float64, m, n int, a []float64, lda int)
}
func DlasclTest(t *testing.T, impl Dlascler) {
const tol = 1e-15
rnd := rand.New(rand.NewSource(1))
for ti, test := range []struct {
m, n int
}{
{0, 0},
{1, 1},
{1, 10},
{10, 1},
{2, 2},
{2, 11},
{11, 2},
{3, 3},
{3, 11},
{11, 3},
{11, 11},
{11, 100},
{100, 11},
} {
m := test.m
n := test.n
for _, extra := range []int{0, 11} {
for _, kind := range []lapack.MatrixType{lapack.General, lapack.UpperTri, lapack.LowerTri} {
a := randomGeneral(m, n, n+extra, rnd)
aCopy := cloneGeneral(a)
cfrom := rnd.NormFloat64()
cto := rnd.NormFloat64()
scale := cto / cfrom
impl.Dlascl(kind, -1, -1, cfrom, cto, m, n, a.Data, a.Stride)
prefix := fmt.Sprintf("Case #%v: kind=%v,m=%v,n=%v,extra=%v", ti, kind, m, n, extra)
if !generalOutsideAllNaN(a) {
t.Errorf("%v: out-of-range write to A", prefix)
}
switch kind {
case lapack.UpperTri:
var mod bool
loopLower:
for i := 0; i < m; i++ {
for j := 0; j < min(i, n); j++ {
if a.Data[i*a.Stride+j] != aCopy.Data[i*aCopy.Stride+j] {
mod = true
break loopLower
}
}
}
if mod {
t.Errorf("%v: unexpected modification in lower triangle of A", prefix)
}
case lapack.LowerTri:
var mod bool
loopUpper:
for i := 0; i < m; i++ {
for j := i + 1; j < n; j++ {
if a.Data[i*a.Stride+j] != aCopy.Data[i*aCopy.Stride+j] {
mod = true
break loopUpper
}
}
}
if mod {
t.Errorf("%v: unexpected modification in upper triangle of A", prefix)
}
}
var resid float64
switch kind {
case lapack.General:
for i := 0; i < m; i++ {
for j := 0; j < n; j++ {
want := scale * aCopy.Data[i*aCopy.Stride+j]
got := a.Data[i*a.Stride+j]
resid = math.Max(resid, math.Abs(want-got))
}
}
case lapack.UpperTri:
for i := 0; i < m; i++ {
for j := i; j < n; j++ {
want := scale * aCopy.Data[i*aCopy.Stride+j]
got := a.Data[i*a.Stride+j]
resid = math.Max(resid, math.Abs(want-got))
}
}
case lapack.LowerTri:
for i := 0; i < m; i++ {
for j := 0; j <= min(i, n-1); j++ {
want := scale * aCopy.Data[i*aCopy.Stride+j]
got := a.Data[i*a.Stride+j]
resid = math.Max(resid, math.Abs(want-got))
}
}
}
if resid > tol*float64(max(m, n)) {
t.Errorf("%v: unexpected result; residual=%v, want<=%v", prefix, resid, tol*float64(max(m, n)))
}
}
}
}
}
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