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testlapack: clean up test for Dlahqr

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This commit is contained in:
Vladimir Chalupecky
2016-08-17 17:32:00 +09:00
parent 11ac63edd6
commit 310c3d8639
1 changed files with 36 additions and 40 deletions
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76
testlapack/dlahqr.go
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@@ -299,32 +299,8 @@ func testDlahqr(t *testing.T, impl Dlahqrer, test dlahqrTest) {
t.Errorf("%v: out-of-range write to Z\n%v", prefix, z.Data)
}
if wantz {
// Z should contain the orthogonal matrix U.
if !isOrthonormal(z) {
t.Errorf("%v: Z is not orthogonal", prefix)
}
// Z should have been modified only in the
// [iloz:ihiz+1,ilo:ihi+1] block.
for i := 0; i < n; i++ {
for j := 0; j < n; j++ {
if iloz <= i && i <= ihiz && ilo <= j && j <= ihi {
continue
}
if z.Data[i*z.Stride+j] != zCopy.Data[i*zCopy.Stride+j] {
t.Errorf("%v: Z modified outside of [iloz:ihiz+1,ilo:ihi+1] block", prefix)
}
}
}
if wantt {
hu := eye(n, n)
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, test.h, z, 0, hu)
uhu := eye(n, n)
blas64.Gemm(blas.Trans, blas.NoTrans, 1, z, hu, 0, uhu)
if !equalApproxGeneral(uhu, h, 10*tol) {
t.Errorf("%v: Z^T*(initial H)*Z and (final H) are not equal", prefix)
}
}
if !isHessenberg(h) {
t.Logf("%v: H is not Hessenberg", prefix)
}
start := ilo // Index of the first computed eigenvalue.
@@ -336,21 +312,11 @@ func testDlahqr(t *testing.T, impl Dlahqrer, test dlahqrTest) {
}
// Check that wr and wi have not been modified outside [start:ihi+1].
for i := 0; i < start; i++ {
if !math.IsNaN(wr[i]) {
t.Errorf("%v: wr modified before [ilo:ihi+1] block", prefix)
}
if !math.IsNaN(wi[i]) {
t.Errorf("%v: wi modified before [ilo:ihi+1] block", prefix)
}
if !isAllNaN(wr[:start]) || !isAllNaN(wr[ihi+1:]) {
t.Errorf("%v: unexpected modification of wr", prefix)
}
for i := ihi + 1; i < n; i++ {
if !math.IsNaN(wr[i]) {
t.Errorf("%v: wr modified after [ilo:ihi+1] block", prefix)
}
if !math.IsNaN(wi[i]) {
t.Errorf("%v: wi modified after [ilo:ihi+1] block", prefix)
}
if !isAllNaN(wi[:start]) || !isAllNaN(wi[ihi+1:]) {
t.Errorf("%v: unexpected modification of wi", prefix)
}
var hasReal bool
@@ -441,4 +407,34 @@ func testDlahqr(t *testing.T, impl Dlahqrer, test dlahqrTest) {
}
}
}
if !wantz {
return
}
// Z should contain the orthogonal matrix U.
if !isOrthonormal(z) {
t.Errorf("%v: Z is not orthogonal", prefix)
}
// Z should have been modified only in the
// [iloz:ihiz+1,ilo:ihi+1] block.
for i := 0; i < n; i++ {
for j := 0; j < n; j++ {
if iloz <= i && i <= ihiz && ilo <= j && j <= ihi {
continue
}
if z.Data[i*z.Stride+j] != zCopy.Data[i*zCopy.Stride+j] {
t.Errorf("%v: Z modified outside of [iloz:ihiz+1,ilo:ihi+1] block", prefix)
}
}
}
if wantt {
hu := eye(n, n)
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, test.h, z, 0, hu)
uhu := eye(n, n)
blas64.Gemm(blas.Trans, blas.NoTrans, 1, z, hu, 0, uhu)
if !equalApproxGeneral(uhu, h, 10*tol) {
t.Errorf("%v: Z^T*(initial H)*Z and (final H) are not equal", prefix)
}
}
}