/
blas2.go
87 lines (78 loc) · 2.33 KB
/
blas2.go
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// Copyright 2016 The Gosl 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 la
import (
"github.com/cpmech/gosl/la/oblas"
"github.com/cpmech/gosl/utl"
)
// MatVecMul returns the matrix-vector multiplication
//
// v = α⋅a⋅u ⇒ vi = α * aij * uj
//
func MatVecMul(v Vector, α float64, a *Matrix, u Vector) {
if a.M < 9 && a.N < 9 {
for i := 0; i < a.M; i++ {
v[i] = 0.0
for j := 0; j < a.N; j++ {
v[i] += α * a.Get(i, j) * u[j]
}
}
return
}
oblas.Dgemv(false, a.M, a.N, α, a.Data, a.M, u, 1, 0.0, v, 1)
}
// MatTrVecMul returns the transpose(matrix)-vector multiplication
//
// v = α⋅aᵀ⋅u ⇒ vi = α * aji * uj = α * uj * aji
//
func MatTrVecMul(v Vector, α float64, a *Matrix, u Vector) {
if a.M < 9 && a.N < 9 {
for i := 0; i < a.N; i++ {
v[i] = 0.0
for j := 0; j < a.M; j++ {
v[i] += α * a.Get(j, i) * u[j]
}
}
return
}
oblas.Dgemv(true, a.M, a.N, α, a.Data, a.M, u, 1, 0.0, v, 1)
}
// VecVecTrMul returns the matrix = vector-transpose(vector) multiplication
// (e.g. dyadic product)
//
// a = α⋅u⋅vᵀ ⇒ aij = α * ui * vj
//
func VecVecTrMul(a *Matrix, α float64, u, v Vector) {
if a.M < 9 && a.N < 9 {
for i := 0; i < a.M; i++ {
for j := 0; j < a.N; j++ {
a.Set(i, j, α*u[i]*v[j])
}
}
return
}
oblas.Dger(a.M, a.N, α, u, 1, v, 1, a.Data, utl.Imax(a.M, a.N))
}
// MatVecMulAdd returns the matrix-vector multiplication with addition
//
// v += α⋅a⋅u ⇒ vi += α * aij * uj
//
func MatVecMulAdd(v Vector, α float64, a *Matrix, u Vector) {
oblas.Dgemv(false, a.M, a.N, α, a.Data, a.M, u, 1, 1.0, v, 1)
}
// complex /////////////////////////////////////////////////////////////////////////////////////////
// MatVecMulC returns the matrix-vector multiplication (complex version)
//
// v = α⋅a⋅u ⇒ vi = α * aij * uj
//
func MatVecMulC(v VectorC, α complex128, a *MatrixC, u VectorC) {
oblas.Zgemv(false, a.M, a.N, α, a.Data, a.M, u, 1, 0.0, v, 1)
}
// MatVecMulAddC returns the matrix-vector multiplication with addition (complex version)
//
// v += α⋅a⋅u ⇒ vi += α * aij * uj
//
func MatVecMulAddC(v VectorC, α complex128, a *MatrixC, u VectorC) {
oblas.Zgemv(false, a.M, a.N, α, a.Data, a.M, u, 1, 1.0, v, 1)
}