| // Copyright ©2017 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 ( |
| "math/rand" |
| "testing" |
| |
| "gonum.org/v1/gonum/blas" |
| "gonum.org/v1/gonum/blas/blas64" |
| "gonum.org/v1/gonum/lapack" |
| ) |
| |
| type Dggsvp3er interface { |
| Dlanger |
| Dggsvp3(jobU, jobV, jobQ lapack.GSVDJob, m, p, n int, a []float64, lda int, b []float64, ldb int, tola, tolb float64, u []float64, ldu int, v []float64, ldv int, q []float64, ldq int, iwork []int, tau, work []float64, lwork int) (k, l int) |
| } |
| |
| func Dggsvp3Test(t *testing.T, impl Dggsvp3er) { |
| rnd := rand.New(rand.NewSource(1)) |
| for cas, test := range []struct { |
| m, p, n, lda, ldb, ldu, ldv, ldq int |
| }{ |
| {m: 3, p: 3, n: 5, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 5, p: 5, n: 5, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 5, p: 5, n: 5, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 5, p: 5, n: 10, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 5, p: 5, n: 10, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 5, p: 5, n: 10, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 10, p: 5, n: 5, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 10, p: 5, n: 5, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 10, p: 10, n: 10, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 10, p: 10, n: 10, lda: 0, ldb: 0, ldu: 0, ldv: 0, ldq: 0}, |
| {m: 5, p: 5, n: 5, lda: 10, ldb: 10, ldu: 10, ldv: 10, ldq: 10}, |
| {m: 5, p: 5, n: 5, lda: 10, ldb: 10, ldu: 10, ldv: 10, ldq: 10}, |
| {m: 5, p: 5, n: 10, lda: 20, ldb: 20, ldu: 10, ldv: 10, ldq: 20}, |
| {m: 5, p: 5, n: 10, lda: 20, ldb: 20, ldu: 10, ldv: 10, ldq: 20}, |
| {m: 5, p: 5, n: 10, lda: 20, ldb: 20, ldu: 10, ldv: 10, ldq: 20}, |
| {m: 10, p: 5, n: 5, lda: 10, ldb: 10, ldu: 20, ldv: 10, ldq: 10}, |
| {m: 10, p: 5, n: 5, lda: 10, ldb: 10, ldu: 20, ldv: 10, ldq: 10}, |
| {m: 10, p: 10, n: 10, lda: 20, ldb: 20, ldu: 20, ldv: 20, ldq: 20}, |
| {m: 10, p: 10, n: 10, lda: 20, ldb: 20, ldu: 20, ldv: 20, ldq: 20}, |
| } { |
| m := test.m |
| p := test.p |
| n := test.n |
| lda := test.lda |
| if lda == 0 { |
| lda = n |
| } |
| ldb := test.ldb |
| if ldb == 0 { |
| ldb = n |
| } |
| ldu := test.ldu |
| if ldu == 0 { |
| ldu = m |
| } |
| ldv := test.ldv |
| if ldv == 0 { |
| ldv = p |
| } |
| ldq := test.ldq |
| if ldq == 0 { |
| ldq = n |
| } |
| |
| a := randomGeneral(m, n, lda, rnd) |
| aCopy := cloneGeneral(a) |
| b := randomGeneral(p, n, ldb, rnd) |
| bCopy := cloneGeneral(b) |
| |
| tola := float64(max(m, n)) * impl.Dlange(lapack.NormFrob, m, n, a.Data, a.Stride, nil) * dlamchE |
| tolb := float64(max(p, n)) * impl.Dlange(lapack.NormFrob, p, n, b.Data, b.Stride, nil) * dlamchE |
| |
| u := nanGeneral(m, m, ldu) |
| v := nanGeneral(p, p, ldv) |
| q := nanGeneral(n, n, ldq) |
| |
| iwork := make([]int, n) |
| tau := make([]float64, n) |
| |
| work := []float64{0} |
| impl.Dggsvp3(lapack.GSVDU, lapack.GSVDV, lapack.GSVDQ, |
| m, p, n, |
| a.Data, a.Stride, |
| b.Data, b.Stride, |
| tola, tolb, |
| u.Data, u.Stride, |
| v.Data, v.Stride, |
| q.Data, q.Stride, |
| iwork, tau, |
| work, -1) |
| |
| lwork := int(work[0]) |
| work = make([]float64, lwork) |
| |
| k, l := impl.Dggsvp3(lapack.GSVDU, lapack.GSVDV, lapack.GSVDQ, |
| m, p, n, |
| a.Data, a.Stride, |
| b.Data, b.Stride, |
| tola, tolb, |
| u.Data, u.Stride, |
| v.Data, v.Stride, |
| q.Data, q.Stride, |
| iwork, tau, |
| work, lwork) |
| |
| // Check orthogonality of U, V and Q. |
| if !isOrthonormal(u) { |
| t.Errorf("test %d: U is not orthogonal\n%+v", cas, u) |
| } |
| if !isOrthonormal(v) { |
| t.Errorf("test %d: V is not orthogonal\n%+v", cas, v) |
| } |
| if !isOrthonormal(q) { |
| t.Errorf("test %d: Q is not orthogonal\n%+v", cas, q) |
| } |
| |
| zeroA, zeroB := constructGSVPresults(n, p, m, k, l, a, b) |
| |
| // Check U^T*A*Q = [ 0 RA ]. |
| uTmp := nanGeneral(m, n, n) |
| blas64.Gemm(blas.Trans, blas.NoTrans, 1, u, aCopy, 0, uTmp) |
| uAns := nanGeneral(m, n, n) |
| blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, uTmp, q, 0, uAns) |
| |
| if !equalApproxGeneral(uAns, zeroA, 1e-14) { |
| t.Errorf("test %d: U^T*A*Q != [ 0 RA ]\nU^T*A*Q:\n%+v\n[ 0 RA ]:\n%+v", |
| cas, uAns, zeroA) |
| } |
| |
| // Check V^T*B*Q = [ 0 RB ]. |
| vTmp := nanGeneral(p, n, n) |
| blas64.Gemm(blas.Trans, blas.NoTrans, 1, v, bCopy, 0, vTmp) |
| vAns := nanGeneral(p, n, n) |
| blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, vTmp, q, 0, vAns) |
| |
| if !equalApproxGeneral(vAns, zeroB, 1e-14) { |
| t.Errorf("test %d: V^T*B*Q != [ 0 RB ]\nV^T*B*Q:\n%+v\n[ 0 RB ]:\n%+v", |
| cas, vAns, zeroB) |
| } |
| } |
| } |