+++ /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"
- "gonum.org/v1/gonum/lapack"
-)
-
-// Dgelqf computes the LQ factorization of the m×n matrix A using a blocked
-// algorithm. See the documentation for Dgelq2 for a description of the
-// parameters at entry and exit.
-//
-// work is temporary storage, and lwork specifies the usable memory length.
-// At minimum, lwork >= m, and this function will panic otherwise.
-// Dgelqf is a blocked LQ factorization, but the block size is limited
-// by the temporary space available. If lwork == -1, instead of performing Dgelqf,
-// the optimal work length will be stored into work[0].
-//
-// tau must have length at least min(m,n), and this function will panic otherwise.
-func (impl Implementation) Dgelqf(m, n int, a []float64, lda int, tau, work []float64, lwork int) {
- nb := impl.Ilaenv(1, "DGELQF", " ", m, n, -1, -1)
- lworkopt := m * max(nb, 1)
- if lwork == -1 {
- work[0] = float64(lworkopt)
- return
- }
- checkMatrix(m, n, a, lda)
- if len(work) < lwork {
- panic(shortWork)
- }
- if lwork < m {
- panic(badWork)
- }
- k := min(m, n)
- if len(tau) < k {
- panic(badTau)
- }
- if k == 0 {
- return
- }
- // Find the optimal blocking size based on the size of available memory
- // and optimal machine parameters.
- nbmin := 2
- var nx int
- iws := m
- ldwork := nb
- if nb > 1 && k > nb {
- nx = max(0, impl.Ilaenv(3, "DGELQF", " ", m, n, -1, -1))
- if nx < k {
- iws = m * nb
- if lwork < iws {
- nb = lwork / m
- nbmin = max(2, impl.Ilaenv(2, "DGELQF", " ", m, n, -1, -1))
- }
- }
- }
- // Computed blocked LQ factorization.
- var i int
- if nb >= nbmin && nb < k && nx < k {
- for i = 0; i < k-nx; i += nb {
- ib := min(k-i, nb)
- impl.Dgelq2(ib, n-i, a[i*lda+i:], lda, tau[i:], work)
- if i+ib < m {
- impl.Dlarft(lapack.Forward, lapack.RowWise, n-i, ib,
- a[i*lda+i:], lda,
- tau[i:],
- work, ldwork)
- impl.Dlarfb(blas.Right, blas.NoTrans, lapack.Forward, lapack.RowWise,
- m-i-ib, n-i, ib,
- a[i*lda+i:], lda,
- work, ldwork,
- a[(i+ib)*lda+i:], lda,
- work[ib*ldwork:], ldwork)
- }
- }
- }
- // Perform unblocked LQ factorization on the remainder.
- if i < k {
- impl.Dgelq2(m-i, n-i, a[i*lda+i:], lda, tau[i:], work)
- }
-}