| // 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 ( |
| "math/rand" |
| "testing" |
| |
| "gonum.org/v1/gonum/blas" |
| "gonum.org/v1/gonum/blas/blas64" |
| "gonum.org/v1/gonum/floats" |
| ) |
| |
| type Dorm2rer interface { |
| Dgeqrfer |
| Dorm2r(side blas.Side, trans blas.Transpose, m, n, k int, a []float64, lda int, tau, c []float64, ldc int, work []float64) |
| } |
| |
| func Dorm2rTest(t *testing.T, impl Dorm2rer) { |
| rnd := rand.New(rand.NewSource(1)) |
| for _, side := range []blas.Side{blas.Left, blas.Right} { |
| for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} { |
| for _, test := range []struct { |
| common, adim, cdim, lda, ldc int |
| }{ |
| {3, 4, 5, 0, 0}, |
| {3, 5, 4, 0, 0}, |
| {4, 3, 5, 0, 0}, |
| {4, 5, 3, 0, 0}, |
| {5, 3, 4, 0, 0}, |
| {5, 4, 3, 0, 0}, |
| {3, 4, 5, 6, 20}, |
| {3, 5, 4, 6, 20}, |
| {4, 3, 5, 6, 20}, |
| {4, 5, 3, 6, 20}, |
| {5, 3, 4, 6, 20}, |
| {5, 4, 3, 6, 20}, |
| {3, 4, 5, 20, 6}, |
| {3, 5, 4, 20, 6}, |
| {4, 3, 5, 20, 6}, |
| {4, 5, 3, 20, 6}, |
| {5, 3, 4, 20, 6}, |
| {5, 4, 3, 20, 6}, |
| } { |
| var ma, na, mc, nc int |
| if side == blas.Left { |
| ma = test.common |
| na = test.adim |
| mc = test.common |
| nc = test.cdim |
| } else { |
| ma = test.common |
| na = test.adim |
| mc = test.cdim |
| nc = test.common |
| } |
| |
| // Generate a random matrix |
| lda := test.lda |
| if lda == 0 { |
| lda = na |
| } |
| a := make([]float64, ma*lda) |
| for i := range a { |
| a[i] = rnd.Float64() |
| } |
| ldc := test.ldc |
| if ldc == 0 { |
| ldc = nc |
| } |
| // Compute random C matrix |
| c := make([]float64, mc*ldc) |
| for i := range c { |
| c[i] = rnd.Float64() |
| } |
| |
| // Compute QR |
| k := min(ma, na) |
| tau := make([]float64, k) |
| work := make([]float64, 1) |
| impl.Dgeqrf(ma, na, a, lda, tau, work, -1) |
| work = make([]float64, int(work[0])) |
| impl.Dgeqrf(ma, na, a, lda, tau, work, len(work)) |
| |
| // Build Q from result |
| q := constructQ("QR", ma, na, a, lda, tau) |
| |
| cMat := blas64.General{ |
| Rows: mc, |
| Cols: nc, |
| Stride: ldc, |
| Data: make([]float64, len(c)), |
| } |
| copy(cMat.Data, c) |
| cMatCopy := blas64.General{ |
| Rows: cMat.Rows, |
| Cols: cMat.Cols, |
| Stride: cMat.Stride, |
| Data: make([]float64, len(cMat.Data)), |
| } |
| copy(cMatCopy.Data, cMat.Data) |
| switch { |
| default: |
| panic("bad test") |
| case side == blas.Left && trans == blas.NoTrans: |
| blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, cMatCopy, 0, cMat) |
| case side == blas.Left && trans == blas.Trans: |
| blas64.Gemm(blas.Trans, blas.NoTrans, 1, q, cMatCopy, 0, cMat) |
| case side == blas.Right && trans == blas.NoTrans: |
| blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, cMatCopy, q, 0, cMat) |
| case side == blas.Right && trans == blas.Trans: |
| blas64.Gemm(blas.NoTrans, blas.Trans, 1, cMatCopy, q, 0, cMat) |
| } |
| // Do Dorm2r ard compare |
| if side == blas.Left { |
| work = make([]float64, nc) |
| } else { |
| work = make([]float64, mc) |
| } |
| aCopy := make([]float64, len(a)) |
| copy(aCopy, a) |
| tauCopy := make([]float64, len(tau)) |
| copy(tauCopy, tau) |
| impl.Dorm2r(side, trans, mc, nc, k, a, lda, tau, c, ldc, work) |
| if !floats.Equal(a, aCopy) { |
| t.Errorf("a changed in call") |
| } |
| if !floats.Equal(tau, tauCopy) { |
| t.Errorf("tau changed in call") |
| } |
| if !floats.EqualApprox(cMat.Data, c, 1e-14) { |
| t.Errorf("Multiplication mismatch.\n Want %v \n got %v.", cMat.Data, c) |
| } |
| } |
| } |
| } |
| } |