mirror of
https://github.com/gonum/gonum.git
synced 2025-10-20 21:59:25 +08:00

removed unnecessary requirement Implement Dlaswp in both directions Responded to PR comments
96 lines
2.5 KiB
Go
96 lines
2.5 KiB
Go
// 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 native
|
|
|
|
import (
|
|
"math"
|
|
|
|
"github.com/gonum/lapack"
|
|
)
|
|
|
|
// Implementation is the native Go implementation of LAPACK routines. It
|
|
// is built on top of calls to the return of blas64.Implementation(), so while
|
|
// this code is in pure Go, the underlying BLAS implementation may not be.
|
|
type Implementation struct{}
|
|
|
|
var _ lapack.Float64 = Implementation{}
|
|
|
|
// This list is duplicated in lapack/cgo. Keep in sync.
|
|
const (
|
|
absIncNotOne = "lapack: increment not one or negative one"
|
|
badDirect = "lapack: bad direct"
|
|
badIpiv = "lapack: insufficient permutation length"
|
|
badLdA = "lapack: index of a out of range"
|
|
badSide = "lapack: bad side"
|
|
badStore = "lapack: bad store"
|
|
badTau = "lapack: tau has insufficient length"
|
|
badTrans = "lapack: bad trans"
|
|
badUplo = "lapack: illegal triangle"
|
|
badWork = "lapack: insufficient working memory"
|
|
badWorkStride = "lapack: insufficient working array stride"
|
|
negDimension = "lapack: negative matrix dimension"
|
|
nLT0 = "lapack: n < 0"
|
|
shortWork = "lapack: working array shorter than declared"
|
|
)
|
|
|
|
// checkMatrix verifies the parameters of a matrix input.
|
|
func checkMatrix(m, n int, a []float64, lda int) {
|
|
if m < 0 {
|
|
panic("lapack: has negative number of rows")
|
|
}
|
|
if m < 0 {
|
|
panic("lapack: has negative number of columns")
|
|
}
|
|
if lda < n {
|
|
panic("lapack: stride less than number of columns")
|
|
}
|
|
if len(a) < (m-1)*lda+n {
|
|
panic("lapack: insufficient matrix slice length")
|
|
}
|
|
}
|
|
|
|
func checkVector(n int, v []float64, inc int) {
|
|
if n < 0 {
|
|
panic("lapack: negative matrix length")
|
|
}
|
|
if (inc > 0 && (n-1)*inc >= len(v)) || (inc < 0 && (1-n)*inc >= len(v)) {
|
|
panic("lapack: insufficient vector slice length")
|
|
}
|
|
}
|
|
|
|
func min(a, b int) int {
|
|
if a < b {
|
|
return a
|
|
}
|
|
return b
|
|
}
|
|
|
|
func max(a, b int) int {
|
|
if a > b {
|
|
return a
|
|
}
|
|
return b
|
|
}
|
|
|
|
// dlamch is a function in fortran, but since go forces IEEE-754 these are all
|
|
// fixed values. Probably a way to get them as constants.
|
|
// TODO(btracey): Is there a better way to find the smallest number such that 1+E > 1
|
|
|
|
var dlamchE, dlamchS, dlamchP float64
|
|
|
|
func init() {
|
|
onePlusEps := math.Nextafter(1, math.Inf(1))
|
|
eps := (math.Nextafter(1, math.Inf(1)) - 1) * 0.5
|
|
dlamchE = eps
|
|
sfmin := math.SmallestNonzeroFloat64
|
|
small := 1 / math.MaxFloat64
|
|
if small >= sfmin {
|
|
sfmin = small * onePlusEps
|
|
}
|
|
dlamchS = sfmin
|
|
radix := 2.0
|
|
dlamchP = radix * eps
|
|
}
|