--- /dev/null
+package testlapack
+
+import (
+ "testing"
+
+ "golang.org/x/exp/rand"
+
+ "gonum.org/v1/gonum/blas"
+)
+
+type Dpbtf2er interface {
+ Dpbtf2(ul blas.Uplo, n, kd int, ab []float64, ldab int) (ok bool)
+ Dpotrfer
+}
+
+func Dpbtf2Test(t *testing.T, impl Dpbtf2er) {
+ // Test random symmetric banded matrices against the full version.
+ rnd := rand.New(rand.NewSource(1))
+
+ for _, n := range []int{5, 10, 20} {
+ for _, kb := range []int{0, 1, 3, n - 1} {
+ for _, ldoff := range []int{0, 4} {
+ for _, ul := range []blas.Uplo{blas.Upper, blas.Lower} {
+ ldab := kb + 1 + ldoff
+ sym, band := randSymBand(ul, n, ldab, kb, rnd)
+
+ // Compute the Cholesky decomposition of the symmetric matrix.
+ ok := impl.Dpotrf(ul, sym.N, sym.Data, sym.Stride)
+ if !ok {
+ panic("bad test: symmetric cholesky decomp failed")
+ }
+
+ // Compute the Cholesky decomposition of the banded matrix.
+ ok = impl.Dpbtf2(band.Uplo, band.N, band.K, band.Data, band.Stride)
+ if !ok {
+ t.Errorf("SymBand cholesky decomp failed")
+ }
+
+ // Compare the result to the Symmetric decomposition.
+ sb := symBandToSym(ul, band.Data, n, kb, ldab)
+ if !equalApproxSymmetric(sym, sb, 1e-10) {
+ t.Errorf("chol mismatch banded and sym. n = %v, kb = %v, ldoff = %v", n, kb, ldoff)
+ }
+ }
+ }
+ }
+ }
+}