+++ /dev/null
-// Copyright ©2013 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.
-
-//go:generate ./conversions.bash
-
-package blas
-
-// Flag constants indicate Givens transformation H matrix state.
-type Flag int
-
-const (
- Identity Flag = iota - 2 // H is the identity matrix; no rotation is needed.
- Rescaling // H specifies rescaling.
- OffDiagonal // Off-diagonal elements of H are units.
- Diagonal // Diagonal elements of H are units.
-)
-
-// SrotmParams contains Givens transformation parameters returned
-// by the Float32 Srotm method.
-type SrotmParams struct {
- Flag
- H [4]float32 // Column-major 2 by 2 matrix.
-}
-
-// DrotmParams contains Givens transformation parameters returned
-// by the Float64 Drotm method.
-type DrotmParams struct {
- Flag
- H [4]float64 // Column-major 2 by 2 matrix.
-}
-
-// Transpose is used to specify the transposition operation for a
-// routine.
-type Transpose int
-
-const (
- NoTrans Transpose = 111 + iota
- Trans
- ConjTrans
-)
-
-// Uplo is used to specify whether the matrix is an upper or lower
-// triangular matrix.
-type Uplo int
-
-const (
- All Uplo = 120 + iota
- Upper
- Lower
-)
-
-// Diag is used to specify whether the matrix is a unit or non-unit
-// triangular matrix.
-type Diag int
-
-const (
- NonUnit Diag = 131 + iota
- Unit
-)
-
-// Side is used to specify from which side a multiplication operation
-// is performed.
-type Side int
-
-const (
- Left Side = 141 + iota
- Right
-)
-
-// Float32 implements the single precision real BLAS routines.
-type Float32 interface {
- Float32Level1
- Float32Level2
- Float32Level3
-}
-
-// Float32Level1 implements the single precision real BLAS Level 1 routines.
-type Float32Level1 interface {
- Sdsdot(n int, alpha float32, x []float32, incX int, y []float32, incY int) float32
- Dsdot(n int, x []float32, incX int, y []float32, incY int) float64
- Sdot(n int, x []float32, incX int, y []float32, incY int) float32
- Snrm2(n int, x []float32, incX int) float32
- Sasum(n int, x []float32, incX int) float32
- Isamax(n int, x []float32, incX int) int
- Sswap(n int, x []float32, incX int, y []float32, incY int)
- Scopy(n int, x []float32, incX int, y []float32, incY int)
- Saxpy(n int, alpha float32, x []float32, incX int, y []float32, incY int)
- Srotg(a, b float32) (c, s, r, z float32)
- Srotmg(d1, d2, b1, b2 float32) (p SrotmParams, rd1, rd2, rb1 float32)
- Srot(n int, x []float32, incX int, y []float32, incY int, c, s float32)
- Srotm(n int, x []float32, incX int, y []float32, incY int, p SrotmParams)
- Sscal(n int, alpha float32, x []float32, incX int)
-}
-
-// Float32Level2 implements the single precision real BLAS Level 2 routines.
-type Float32Level2 interface {
- Sgemv(tA Transpose, m, n int, alpha float32, a []float32, lda int, x []float32, incX int, beta float32, y []float32, incY int)
- Sgbmv(tA Transpose, m, n, kL, kU int, alpha float32, a []float32, lda int, x []float32, incX int, beta float32, y []float32, incY int)
- Strmv(ul Uplo, tA Transpose, d Diag, n int, a []float32, lda int, x []float32, incX int)
- Stbmv(ul Uplo, tA Transpose, d Diag, n, k int, a []float32, lda int, x []float32, incX int)
- Stpmv(ul Uplo, tA Transpose, d Diag, n int, ap []float32, x []float32, incX int)
- Strsv(ul Uplo, tA Transpose, d Diag, n int, a []float32, lda int, x []float32, incX int)
- Stbsv(ul Uplo, tA Transpose, d Diag, n, k int, a []float32, lda int, x []float32, incX int)
- Stpsv(ul Uplo, tA Transpose, d Diag, n int, ap []float32, x []float32, incX int)
- Ssymv(ul Uplo, n int, alpha float32, a []float32, lda int, x []float32, incX int, beta float32, y []float32, incY int)
- Ssbmv(ul Uplo, n, k int, alpha float32, a []float32, lda int, x []float32, incX int, beta float32, y []float32, incY int)
- Sspmv(ul Uplo, n int, alpha float32, ap []float32, x []float32, incX int, beta float32, y []float32, incY int)
- Sger(m, n int, alpha float32, x []float32, incX int, y []float32, incY int, a []float32, lda int)
- Ssyr(ul Uplo, n int, alpha float32, x []float32, incX int, a []float32, lda int)
- Sspr(ul Uplo, n int, alpha float32, x []float32, incX int, ap []float32)
- Ssyr2(ul Uplo, n int, alpha float32, x []float32, incX int, y []float32, incY int, a []float32, lda int)
- Sspr2(ul Uplo, n int, alpha float32, x []float32, incX int, y []float32, incY int, a []float32)
-}
-
-// Float32Level3 implements the single precision real BLAS Level 3 routines.
-type Float32Level3 interface {
- Sgemm(tA, tB Transpose, m, n, k int, alpha float32, a []float32, lda int, b []float32, ldb int, beta float32, c []float32, ldc int)
- Ssymm(s Side, ul Uplo, m, n int, alpha float32, a []float32, lda int, b []float32, ldb int, beta float32, c []float32, ldc int)
- Ssyrk(ul Uplo, t Transpose, n, k int, alpha float32, a []float32, lda int, beta float32, c []float32, ldc int)
- Ssyr2k(ul Uplo, t Transpose, n, k int, alpha float32, a []float32, lda int, b []float32, ldb int, beta float32, c []float32, ldc int)
- Strmm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha float32, a []float32, lda int, b []float32, ldb int)
- Strsm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha float32, a []float32, lda int, b []float32, ldb int)
-}
-
-// Float64 implements the single precision real BLAS routines.
-type Float64 interface {
- Float64Level1
- Float64Level2
- Float64Level3
-}
-
-// Float64Level1 implements the double precision real BLAS Level 1 routines.
-type Float64Level1 interface {
- Ddot(n int, x []float64, incX int, y []float64, incY int) float64
- Dnrm2(n int, x []float64, incX int) float64
- Dasum(n int, x []float64, incX int) float64
- Idamax(n int, x []float64, incX int) int
- Dswap(n int, x []float64, incX int, y []float64, incY int)
- Dcopy(n int, x []float64, incX int, y []float64, incY int)
- Daxpy(n int, alpha float64, x []float64, incX int, y []float64, incY int)
- Drotg(a, b float64) (c, s, r, z float64)
- Drotmg(d1, d2, b1, b2 float64) (p DrotmParams, rd1, rd2, rb1 float64)
- Drot(n int, x []float64, incX int, y []float64, incY int, c float64, s float64)
- Drotm(n int, x []float64, incX int, y []float64, incY int, p DrotmParams)
- Dscal(n int, alpha float64, x []float64, incX int)
-}
-
-// Float64Level2 implements the double precision real BLAS Level 2 routines.
-type Float64Level2 interface {
- Dgemv(tA Transpose, m, n int, alpha float64, a []float64, lda int, x []float64, incX int, beta float64, y []float64, incY int)
- Dgbmv(tA Transpose, m, n, kL, kU int, alpha float64, a []float64, lda int, x []float64, incX int, beta float64, y []float64, incY int)
- Dtrmv(ul Uplo, tA Transpose, d Diag, n int, a []float64, lda int, x []float64, incX int)
- Dtbmv(ul Uplo, tA Transpose, d Diag, n, k int, a []float64, lda int, x []float64, incX int)
- Dtpmv(ul Uplo, tA Transpose, d Diag, n int, ap []float64, x []float64, incX int)
- Dtrsv(ul Uplo, tA Transpose, d Diag, n int, a []float64, lda int, x []float64, incX int)
- Dtbsv(ul Uplo, tA Transpose, d Diag, n, k int, a []float64, lda int, x []float64, incX int)
- Dtpsv(ul Uplo, tA Transpose, d Diag, n int, ap []float64, x []float64, incX int)
- Dsymv(ul Uplo, n int, alpha float64, a []float64, lda int, x []float64, incX int, beta float64, y []float64, incY int)
- Dsbmv(ul Uplo, n, k int, alpha float64, a []float64, lda int, x []float64, incX int, beta float64, y []float64, incY int)
- Dspmv(ul Uplo, n int, alpha float64, ap []float64, x []float64, incX int, beta float64, y []float64, incY int)
- Dger(m, n int, alpha float64, x []float64, incX int, y []float64, incY int, a []float64, lda int)
- Dsyr(ul Uplo, n int, alpha float64, x []float64, incX int, a []float64, lda int)
- Dspr(ul Uplo, n int, alpha float64, x []float64, incX int, ap []float64)
- Dsyr2(ul Uplo, n int, alpha float64, x []float64, incX int, y []float64, incY int, a []float64, lda int)
- Dspr2(ul Uplo, n int, alpha float64, x []float64, incX int, y []float64, incY int, a []float64)
-}
-
-// Float64Level3 implements the double precision real BLAS Level 3 routines.
-type Float64Level3 interface {
- Dgemm(tA, tB Transpose, m, n, k int, alpha float64, a []float64, lda int, b []float64, ldb int, beta float64, c []float64, ldc int)
- Dsymm(s Side, ul Uplo, m, n int, alpha float64, a []float64, lda int, b []float64, ldb int, beta float64, c []float64, ldc int)
- Dsyrk(ul Uplo, t Transpose, n, k int, alpha float64, a []float64, lda int, beta float64, c []float64, ldc int)
- Dsyr2k(ul Uplo, t Transpose, n, k int, alpha float64, a []float64, lda int, b []float64, ldb int, beta float64, c []float64, ldc int)
- Dtrmm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha float64, a []float64, lda int, b []float64, ldb int)
- Dtrsm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha float64, a []float64, lda int, b []float64, ldb int)
-}
-
-// Complex64 implements the single precision complex BLAS routines.
-type Complex64 interface {
- Complex64Level1
- Complex64Level2
- Complex64Level3
-}
-
-// Complex64Level1 implements the single precision complex BLAS Level 1 routines.
-type Complex64Level1 interface {
- Cdotu(n int, x []complex64, incX int, y []complex64, incY int) (dotu complex64)
- Cdotc(n int, x []complex64, incX int, y []complex64, incY int) (dotc complex64)
- Scnrm2(n int, x []complex64, incX int) float32
- Scasum(n int, x []complex64, incX int) float32
- Icamax(n int, x []complex64, incX int) int
- Cswap(n int, x []complex64, incX int, y []complex64, incY int)
- Ccopy(n int, x []complex64, incX int, y []complex64, incY int)
- Caxpy(n int, alpha complex64, x []complex64, incX int, y []complex64, incY int)
- Cscal(n int, alpha complex64, x []complex64, incX int)
- Csscal(n int, alpha float32, x []complex64, incX int)
-}
-
-// Complex64Level2 implements the single precision complex BLAS routines Level 2 routines.
-type Complex64Level2 interface {
- Cgemv(tA Transpose, m, n int, alpha complex64, a []complex64, lda int, x []complex64, incX int, beta complex64, y []complex64, incY int)
- Cgbmv(tA Transpose, m, n, kL, kU int, alpha complex64, a []complex64, lda int, x []complex64, incX int, beta complex64, y []complex64, incY int)
- Ctrmv(ul Uplo, tA Transpose, d Diag, n int, a []complex64, lda int, x []complex64, incX int)
- Ctbmv(ul Uplo, tA Transpose, d Diag, n, k int, a []complex64, lda int, x []complex64, incX int)
- Ctpmv(ul Uplo, tA Transpose, d Diag, n int, ap []complex64, x []complex64, incX int)
- Ctrsv(ul Uplo, tA Transpose, d Diag, n int, a []complex64, lda int, x []complex64, incX int)
- Ctbsv(ul Uplo, tA Transpose, d Diag, n, k int, a []complex64, lda int, x []complex64, incX int)
- Ctpsv(ul Uplo, tA Transpose, d Diag, n int, ap []complex64, x []complex64, incX int)
- Chemv(ul Uplo, n int, alpha complex64, a []complex64, lda int, x []complex64, incX int, beta complex64, y []complex64, incY int)
- Chbmv(ul Uplo, n, k int, alpha complex64, a []complex64, lda int, x []complex64, incX int, beta complex64, y []complex64, incY int)
- Chpmv(ul Uplo, n int, alpha complex64, ap []complex64, x []complex64, incX int, beta complex64, y []complex64, incY int)
- Cgeru(m, n int, alpha complex64, x []complex64, incX int, y []complex64, incY int, a []complex64, lda int)
- Cgerc(m, n int, alpha complex64, x []complex64, incX int, y []complex64, incY int, a []complex64, lda int)
- Cher(ul Uplo, n int, alpha float32, x []complex64, incX int, a []complex64, lda int)
- Chpr(ul Uplo, n int, alpha float32, x []complex64, incX int, a []complex64)
- Cher2(ul Uplo, n int, alpha complex64, x []complex64, incX int, y []complex64, incY int, a []complex64, lda int)
- Chpr2(ul Uplo, n int, alpha complex64, x []complex64, incX int, y []complex64, incY int, ap []complex64)
-}
-
-// Complex64Level3 implements the single precision complex BLAS Level 3 routines.
-type Complex64Level3 interface {
- Cgemm(tA, tB Transpose, m, n, k int, alpha complex64, a []complex64, lda int, b []complex64, ldb int, beta complex64, c []complex64, ldc int)
- Csymm(s Side, ul Uplo, m, n int, alpha complex64, a []complex64, lda int, b []complex64, ldb int, beta complex64, c []complex64, ldc int)
- Csyrk(ul Uplo, t Transpose, n, k int, alpha complex64, a []complex64, lda int, beta complex64, c []complex64, ldc int)
- Csyr2k(ul Uplo, t Transpose, n, k int, alpha complex64, a []complex64, lda int, b []complex64, ldb int, beta complex64, c []complex64, ldc int)
- Ctrmm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha complex64, a []complex64, lda int, b []complex64, ldb int)
- Ctrsm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha complex64, a []complex64, lda int, b []complex64, ldb int)
- Chemm(s Side, ul Uplo, m, n int, alpha complex64, a []complex64, lda int, b []complex64, ldb int, beta complex64, c []complex64, ldc int)
- Cherk(ul Uplo, t Transpose, n, k int, alpha float32, a []complex64, lda int, beta float32, c []complex64, ldc int)
- Cher2k(ul Uplo, t Transpose, n, k int, alpha complex64, a []complex64, lda int, b []complex64, ldb int, beta float32, c []complex64, ldc int)
-}
-
-// Complex128 implements the double precision complex BLAS routines.
-type Complex128 interface {
- Complex128Level1
- Complex128Level2
- Complex128Level3
-}
-
-// Complex128Level1 implements the double precision complex BLAS Level 1 routines.
-type Complex128Level1 interface {
- Zdotu(n int, x []complex128, incX int, y []complex128, incY int) (dotu complex128)
- Zdotc(n int, x []complex128, incX int, y []complex128, incY int) (dotc complex128)
- Dznrm2(n int, x []complex128, incX int) float64
- Dzasum(n int, x []complex128, incX int) float64
- Izamax(n int, x []complex128, incX int) int
- Zswap(n int, x []complex128, incX int, y []complex128, incY int)
- Zcopy(n int, x []complex128, incX int, y []complex128, incY int)
- Zaxpy(n int, alpha complex128, x []complex128, incX int, y []complex128, incY int)
- Zscal(n int, alpha complex128, x []complex128, incX int)
- Zdscal(n int, alpha float64, x []complex128, incX int)
-}
-
-// Complex128Level2 implements the double precision complex BLAS Level 2 routines.
-type Complex128Level2 interface {
- Zgemv(tA Transpose, m, n int, alpha complex128, a []complex128, lda int, x []complex128, incX int, beta complex128, y []complex128, incY int)
- Zgbmv(tA Transpose, m, n int, kL int, kU int, alpha complex128, a []complex128, lda int, x []complex128, incX int, beta complex128, y []complex128, incY int)
- Ztrmv(ul Uplo, tA Transpose, d Diag, n int, a []complex128, lda int, x []complex128, incX int)
- Ztbmv(ul Uplo, tA Transpose, d Diag, n, k int, a []complex128, lda int, x []complex128, incX int)
- Ztpmv(ul Uplo, tA Transpose, d Diag, n int, ap []complex128, x []complex128, incX int)
- Ztrsv(ul Uplo, tA Transpose, d Diag, n int, a []complex128, lda int, x []complex128, incX int)
- Ztbsv(ul Uplo, tA Transpose, d Diag, n, k int, a []complex128, lda int, x []complex128, incX int)
- Ztpsv(ul Uplo, tA Transpose, d Diag, n int, ap []complex128, x []complex128, incX int)
- Zhemv(ul Uplo, n int, alpha complex128, a []complex128, lda int, x []complex128, incX int, beta complex128, y []complex128, incY int)
- Zhbmv(ul Uplo, n, k int, alpha complex128, a []complex128, lda int, x []complex128, incX int, beta complex128, y []complex128, incY int)
- Zhpmv(ul Uplo, n int, alpha complex128, ap []complex128, x []complex128, incX int, beta complex128, y []complex128, incY int)
- Zgeru(m, n int, alpha complex128, x []complex128, incX int, y []complex128, incY int, a []complex128, lda int)
- Zgerc(m, n int, alpha complex128, x []complex128, incX int, y []complex128, incY int, a []complex128, lda int)
- Zher(ul Uplo, n int, alpha float64, x []complex128, incX int, a []complex128, lda int)
- Zhpr(ul Uplo, n int, alpha float64, x []complex128, incX int, a []complex128)
- Zher2(ul Uplo, n int, alpha complex128, x []complex128, incX int, y []complex128, incY int, a []complex128, lda int)
- Zhpr2(ul Uplo, n int, alpha complex128, x []complex128, incX int, y []complex128, incY int, ap []complex128)
-}
-
-// Complex128Level3 implements the double precision complex BLAS Level 3 routines.
-type Complex128Level3 interface {
- Zgemm(tA, tB Transpose, m, n, k int, alpha complex128, a []complex128, lda int, b []complex128, ldb int, beta complex128, c []complex128, ldc int)
- Zsymm(s Side, ul Uplo, m, n int, alpha complex128, a []complex128, lda int, b []complex128, ldb int, beta complex128, c []complex128, ldc int)
- Zsyrk(ul Uplo, t Transpose, n, k int, alpha complex128, a []complex128, lda int, beta complex128, c []complex128, ldc int)
- Zsyr2k(ul Uplo, t Transpose, n, k int, alpha complex128, a []complex128, lda int, b []complex128, ldb int, beta complex128, c []complex128, ldc int)
- Ztrmm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha complex128, a []complex128, lda int, b []complex128, ldb int)
- Ztrsm(s Side, ul Uplo, tA Transpose, d Diag, m, n int, alpha complex128, a []complex128, lda int, b []complex128, ldb int)
- Zhemm(s Side, ul Uplo, m, n int, alpha complex128, a []complex128, lda int, b []complex128, ldb int, beta complex128, c []complex128, ldc int)
- Zherk(ul Uplo, t Transpose, n, k int, alpha float64, a []complex128, lda int, beta float64, c []complex128, ldc int)
- Zher2k(ul Uplo, t Transpose, n, k int, alpha complex128, a []complex128, lda int, b []complex128, ldb int, beta float64, c []complex128, ldc int)
-}
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