+++ /dev/null
-// Copyright ©2016 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
-
-// Dorghr generates an n×n orthogonal matrix Q which is defined as the product
-// of ihi-ilo elementary reflectors:
-// Q = H_{ilo} H_{ilo+1} ... H_{ihi-1}.
-//
-// a and lda represent an n×n matrix that contains the elementary reflectors, as
-// returned by Dgehrd. On return, a is overwritten by the n×n orthogonal matrix
-// Q. Q will be equal to the identity matrix except in the submatrix
-// Q[ilo+1:ihi+1,ilo+1:ihi+1].
-//
-// ilo and ihi must have the same values as in the previous call of Dgehrd. It
-// must hold that
-// 0 <= ilo <= ihi < n, if n > 0,
-// ilo = 0, ihi = -1, if n == 0.
-//
-// tau contains the scalar factors of the elementary reflectors, as returned by
-// Dgehrd. tau must have length n-1.
-//
-// work must have length at least max(1,lwork) and lwork must be at least
-// ihi-ilo. For optimum performance lwork must be at least (ihi-ilo)*nb where nb
-// is the optimal blocksize. On return, work[0] will contain the optimal value
-// of lwork.
-//
-// If lwork == -1, instead of performing Dorghr, only the optimal value of lwork
-// will be stored into work[0].
-//
-// If any requirement on input sizes is not met, Dorghr will panic.
-//
-// Dorghr is an internal routine. It is exported for testing purposes.
-func (impl Implementation) Dorghr(n, ilo, ihi int, a []float64, lda int, tau, work []float64, lwork int) {
- checkMatrix(n, n, a, lda)
- nh := ihi - ilo
- switch {
- case ilo < 0 || max(1, n) <= ilo:
- panic(badIlo)
- case ihi < min(ilo, n-1) || n <= ihi:
- panic(badIhi)
- case lwork < max(1, nh) && lwork != -1:
- panic(badWork)
- case len(work) < max(1, lwork):
- panic(shortWork)
- }
-
- lwkopt := max(1, nh) * impl.Ilaenv(1, "DORGQR", " ", nh, nh, nh, -1)
- if lwork == -1 {
- work[0] = float64(lwkopt)
- return
- }
-
- // Quick return if possible.
- if n == 0 {
- work[0] = 1
- return
- }
-
- // Shift the vectors which define the elementary reflectors one column
- // to the right.
- for i := ilo + 2; i < ihi+1; i++ {
- copy(a[i*lda+ilo+1:i*lda+i], a[i*lda+ilo:i*lda+i-1])
- }
- // Set the first ilo+1 and the last n-ihi-1 rows and columns to those of
- // the identity matrix.
- for i := 0; i < ilo+1; i++ {
- for j := 0; j < n; j++ {
- a[i*lda+j] = 0
- }
- a[i*lda+i] = 1
- }
- for i := ilo + 1; i < ihi+1; i++ {
- for j := 0; j <= ilo; j++ {
- a[i*lda+j] = 0
- }
- for j := i; j < n; j++ {
- a[i*lda+j] = 0
- }
- }
- for i := ihi + 1; i < n; i++ {
- for j := 0; j < n; j++ {
- a[i*lda+j] = 0
- }
- a[i*lda+i] = 1
- }
- if nh > 0 {
- // Generate Q[ilo+1:ihi+1,ilo+1:ihi+1].
- impl.Dorgqr(nh, nh, nh, a[(ilo+1)*lda+ilo+1:], lda, tau[ilo:ihi], work, lwork)
- }
- work[0] = float64(lwkopt)
-}