--- /dev/null
+// 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 gonum
+
+import "gonum.org/v1/gonum/blas"
+
+// Dormr2 multiplies a general matrix C by an orthogonal matrix from a RQ factorization
+// determined by Dgerqf.
+// C = Q * C if side == blas.Left and trans == blas.NoTrans
+// C = Q^T * C if side == blas.Left and trans == blas.Trans
+// C = C * Q if side == blas.Right and trans == blas.NoTrans
+// C = C * Q^T if side == blas.Right and trans == blas.Trans
+// If side == blas.Left, a is a matrix of size k×m, and if side == blas.Right
+// a is of size k×n.
+//
+// tau contains the Householder factors and is of length at least k and this function
+// will panic otherwise.
+//
+// work is temporary storage of length at least n if side == blas.Left
+// and at least m if side == blas.Right and this function will panic otherwise.
+//
+// Dormr2 is an internal routine. It is exported for testing purposes.
+func (impl Implementation) Dormr2(side blas.Side, trans blas.Transpose, m, n, k int, a []float64, lda int, tau, c []float64, ldc int, work []float64) {
+ if side != blas.Left && side != blas.Right {
+ panic(badSide)
+ }
+ if trans != blas.Trans && trans != blas.NoTrans {
+ panic(badTrans)
+ }
+
+ left := side == blas.Left
+ notran := trans == blas.NoTrans
+ if left {
+ if k > m {
+ panic(kGTM)
+ }
+ checkMatrix(k, m, a, lda)
+ if len(work) < n {
+ panic(badWork)
+ }
+ } else {
+ if k > n {
+ panic(kGTN)
+ }
+ checkMatrix(k, n, a, lda)
+ if len(work) < m {
+ panic(badWork)
+ }
+ }
+ if len(tau) < k {
+ panic(badTau)
+ }
+ checkMatrix(m, n, c, ldc)
+
+ if m == 0 || n == 0 || k == 0 {
+ return
+ }
+ if left {
+ if notran {
+ for i := k - 1; i >= 0; i-- {
+ aii := a[i*lda+(m-k+i)]
+ a[i*lda+(m-k+i)] = 1
+ impl.Dlarf(side, m-k+i+1, n, a[i*lda:], 1, tau[i], c, ldc, work)
+ a[i*lda+(m-k+i)] = aii
+ }
+ return
+ }
+ for i := 0; i < k; i++ {
+ aii := a[i*lda+(m-k+i)]
+ a[i*lda+(m-k+i)] = 1
+ impl.Dlarf(side, m-k+i+1, n, a[i*lda:], 1, tau[i], c, ldc, work)
+ a[i*lda+(m-k+i)] = aii
+ }
+ return
+ }
+ if notran {
+ for i := 0; i < k; i++ {
+ aii := a[i*lda+(n-k+i)]
+ a[i*lda+(n-k+i)] = 1
+ impl.Dlarf(side, m, n-k+i+1, a[i*lda:], 1, tau[i], c, ldc, work)
+ a[i*lda+(n-k+i)] = aii
+ }
+ return
+ }
+ for i := k - 1; i >= 0; i-- {
+ aii := a[i*lda+(n-k+i)]
+ a[i*lda+(n-k+i)] = 1
+ impl.Dlarf(side, m, n-k+i+1, a[i*lda:], 1, tau[i], c, ldc, work)
+ a[i*lda+(n-k+i)] = aii
+ }
+}