+++ /dev/null
-// Copyright ©2014 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/internal/asm/f64"
-)
-
-var _ blas.Float64Level3 = Implementation{}
-
-// Dtrsm solves
-// A * X = alpha * B, if tA == blas.NoTrans side == blas.Left,
-// A^T * X = alpha * B, if tA == blas.Trans or blas.ConjTrans, and side == blas.Left,
-// X * A = alpha * B, if tA == blas.NoTrans side == blas.Right,
-// X * A^T = alpha * B, if tA == blas.Trans or blas.ConjTrans, and side == blas.Right,
-// where A is an n×n or m×m triangular matrix, X is an m×n matrix, and alpha is a
-// scalar.
-//
-// At entry to the function, X contains the values of B, and the result is
-// stored in place into X.
-//
-// No check is made that A is invertible.
-func (Implementation) Dtrsm(s blas.Side, ul blas.Uplo, tA blas.Transpose, d blas.Diag, m, n int, alpha float64, a []float64, lda int, b []float64, ldb int) {
- if s != blas.Left && s != blas.Right {
- panic(badSide)
- }
- if ul != blas.Lower && ul != blas.Upper {
- panic(badUplo)
- }
- if tA != blas.NoTrans && tA != blas.Trans && tA != blas.ConjTrans {
- panic(badTranspose)
- }
- if d != blas.NonUnit && d != blas.Unit {
- panic(badDiag)
- }
- if m < 0 {
- panic(mLT0)
- }
- if n < 0 {
- panic(nLT0)
- }
- if ldb < n {
- panic(badLdB)
- }
- var k int
- if s == blas.Left {
- k = m
- } else {
- k = n
- }
- if lda*(k-1)+k > len(a) || lda < max(1, k) {
- panic(badLdA)
- }
- if ldb*(m-1)+n > len(b) || ldb < max(1, n) {
- panic(badLdB)
- }
-
- if m == 0 || n == 0 {
- return
- }
-
- if alpha == 0 {
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- for j := range btmp {
- btmp[j] = 0
- }
- }
- return
- }
- nonUnit := d == blas.NonUnit
- if s == blas.Left {
- if tA == blas.NoTrans {
- if ul == blas.Upper {
- for i := m - 1; i >= 0; i-- {
- btmp := b[i*ldb : i*ldb+n]
- if alpha != 1 {
- for j := range btmp {
- btmp[j] *= alpha
- }
- }
- for ka, va := range a[i*lda+i+1 : i*lda+m] {
- k := ka + i + 1
- if va != 0 {
- f64.AxpyUnitaryTo(btmp, -va, b[k*ldb:k*ldb+n], btmp)
- }
- }
- if nonUnit {
- tmp := 1 / a[i*lda+i]
- for j := 0; j < n; j++ {
- btmp[j] *= tmp
- }
- }
- }
- return
- }
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- if alpha != 1 {
- for j := 0; j < n; j++ {
- btmp[j] *= alpha
- }
- }
- for k, va := range a[i*lda : i*lda+i] {
- if va != 0 {
- f64.AxpyUnitaryTo(btmp, -va, b[k*ldb:k*ldb+n], btmp)
- }
- }
- if nonUnit {
- tmp := 1 / a[i*lda+i]
- for j := 0; j < n; j++ {
- btmp[j] *= tmp
- }
- }
- }
- return
- }
- // Cases where a is transposed
- if ul == blas.Upper {
- for k := 0; k < m; k++ {
- btmpk := b[k*ldb : k*ldb+n]
- if nonUnit {
- tmp := 1 / a[k*lda+k]
- for j := 0; j < n; j++ {
- btmpk[j] *= tmp
- }
- }
- for ia, va := range a[k*lda+k+1 : k*lda+m] {
- i := ia + k + 1
- if va != 0 {
- btmp := b[i*ldb : i*ldb+n]
- f64.AxpyUnitaryTo(btmp, -va, btmpk, btmp)
- }
- }
- if alpha != 1 {
- for j := 0; j < n; j++ {
- btmpk[j] *= alpha
- }
- }
- }
- return
- }
- for k := m - 1; k >= 0; k-- {
- btmpk := b[k*ldb : k*ldb+n]
- if nonUnit {
- tmp := 1 / a[k*lda+k]
- for j := 0; j < n; j++ {
- btmpk[j] *= tmp
- }
- }
- for i, va := range a[k*lda : k*lda+k] {
- if va != 0 {
- btmp := b[i*ldb : i*ldb+n]
- f64.AxpyUnitaryTo(btmp, -va, btmpk, btmp)
- }
- }
- if alpha != 1 {
- for j := 0; j < n; j++ {
- btmpk[j] *= alpha
- }
- }
- }
- return
- }
- // Cases where a is to the right of X.
- if tA == blas.NoTrans {
- if ul == blas.Upper {
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- if alpha != 1 {
- for j := 0; j < n; j++ {
- btmp[j] *= alpha
- }
- }
- for k, vb := range btmp {
- if vb != 0 {
- if btmp[k] != 0 {
- if nonUnit {
- btmp[k] /= a[k*lda+k]
- }
- btmpk := btmp[k+1 : n]
- f64.AxpyUnitaryTo(btmpk, -btmp[k], a[k*lda+k+1:k*lda+n], btmpk)
- }
- }
- }
- }
- return
- }
- for i := 0; i < m; i++ {
- btmp := b[i*lda : i*lda+n]
- if alpha != 1 {
- for j := 0; j < n; j++ {
- btmp[j] *= alpha
- }
- }
- for k := n - 1; k >= 0; k-- {
- if btmp[k] != 0 {
- if nonUnit {
- btmp[k] /= a[k*lda+k]
- }
- f64.AxpyUnitaryTo(btmp, -btmp[k], a[k*lda:k*lda+k], btmp)
- }
- }
- }
- return
- }
- // Cases where a is transposed.
- if ul == blas.Upper {
- for i := 0; i < m; i++ {
- btmp := b[i*lda : i*lda+n]
- for j := n - 1; j >= 0; j-- {
- tmp := alpha*btmp[j] - f64.DotUnitary(a[j*lda+j+1:j*lda+n], btmp[j+1:])
- if nonUnit {
- tmp /= a[j*lda+j]
- }
- btmp[j] = tmp
- }
- }
- return
- }
- for i := 0; i < m; i++ {
- btmp := b[i*lda : i*lda+n]
- for j := 0; j < n; j++ {
- tmp := alpha*btmp[j] - f64.DotUnitary(a[j*lda:j*lda+j], btmp)
- if nonUnit {
- tmp /= a[j*lda+j]
- }
- btmp[j] = tmp
- }
- }
-}
-
-// Dsymm performs one of
-// C = alpha * A * B + beta * C, if side == blas.Left,
-// C = alpha * B * A + beta * C, if side == blas.Right,
-// where A is an n×n or m×m symmetric matrix, B and C are m×n matrices, and alpha
-// is a scalar.
-func (Implementation) Dsymm(s blas.Side, ul blas.Uplo, m, n int, alpha float64, a []float64, lda int, b []float64, ldb int, beta float64, c []float64, ldc int) {
- if s != blas.Right && s != blas.Left {
- panic("goblas: bad side")
- }
- if ul != blas.Lower && ul != blas.Upper {
- panic(badUplo)
- }
- if m < 0 {
- panic(mLT0)
- }
- if n < 0 {
- panic(nLT0)
- }
- var k int
- if s == blas.Left {
- k = m
- } else {
- k = n
- }
- if lda*(k-1)+k > len(a) || lda < max(1, k) {
- panic(badLdA)
- }
- if ldb*(m-1)+n > len(b) || ldb < max(1, n) {
- panic(badLdB)
- }
- if ldc*(m-1)+n > len(c) || ldc < max(1, n) {
- panic(badLdC)
- }
- if m == 0 || n == 0 {
- return
- }
- if alpha == 0 && beta == 1 {
- return
- }
- if alpha == 0 {
- if beta == 0 {
- for i := 0; i < m; i++ {
- ctmp := c[i*ldc : i*ldc+n]
- for j := range ctmp {
- ctmp[j] = 0
- }
- }
- return
- }
- for i := 0; i < m; i++ {
- ctmp := c[i*ldc : i*ldc+n]
- for j := 0; j < n; j++ {
- ctmp[j] *= beta
- }
- }
- return
- }
-
- isUpper := ul == blas.Upper
- if s == blas.Left {
- for i := 0; i < m; i++ {
- atmp := alpha * a[i*lda+i]
- btmp := b[i*ldb : i*ldb+n]
- ctmp := c[i*ldc : i*ldc+n]
- for j, v := range btmp {
- ctmp[j] *= beta
- ctmp[j] += atmp * v
- }
-
- for k := 0; k < i; k++ {
- var atmp float64
- if isUpper {
- atmp = a[k*lda+i]
- } else {
- atmp = a[i*lda+k]
- }
- atmp *= alpha
- ctmp := c[i*ldc : i*ldc+n]
- f64.AxpyUnitaryTo(ctmp, atmp, b[k*ldb:k*ldb+n], ctmp)
- }
- for k := i + 1; k < m; k++ {
- var atmp float64
- if isUpper {
- atmp = a[i*lda+k]
- } else {
- atmp = a[k*lda+i]
- }
- atmp *= alpha
- ctmp := c[i*ldc : i*ldc+n]
- f64.AxpyUnitaryTo(ctmp, atmp, b[k*ldb:k*ldb+n], ctmp)
- }
- }
- return
- }
- if isUpper {
- for i := 0; i < m; i++ {
- for j := n - 1; j >= 0; j-- {
- tmp := alpha * b[i*ldb+j]
- var tmp2 float64
- atmp := a[j*lda+j+1 : j*lda+n]
- btmp := b[i*ldb+j+1 : i*ldb+n]
- ctmp := c[i*ldc+j+1 : i*ldc+n]
- for k, v := range atmp {
- ctmp[k] += tmp * v
- tmp2 += btmp[k] * v
- }
- c[i*ldc+j] *= beta
- c[i*ldc+j] += tmp*a[j*lda+j] + alpha*tmp2
- }
- }
- return
- }
- for i := 0; i < m; i++ {
- for j := 0; j < n; j++ {
- tmp := alpha * b[i*ldb+j]
- var tmp2 float64
- atmp := a[j*lda : j*lda+j]
- btmp := b[i*ldb : i*ldb+j]
- ctmp := c[i*ldc : i*ldc+j]
- for k, v := range atmp {
- ctmp[k] += tmp * v
- tmp2 += btmp[k] * v
- }
- c[i*ldc+j] *= beta
- c[i*ldc+j] += tmp*a[j*lda+j] + alpha*tmp2
- }
- }
-}
-
-// Dsyrk performs the symmetric rank-k operation
-// C = alpha * A * A^T + beta*C
-// C is an n×n symmetric matrix. A is an n×k matrix if tA == blas.NoTrans, and
-// a k×n matrix otherwise. alpha and beta are scalars.
-func (Implementation) Dsyrk(ul blas.Uplo, tA blas.Transpose, n, k int, alpha float64, a []float64, lda int, beta float64, c []float64, ldc int) {
- if ul != blas.Lower && ul != blas.Upper {
- panic(badUplo)
- }
- if tA != blas.Trans && tA != blas.NoTrans && tA != blas.ConjTrans {
- panic(badTranspose)
- }
- if n < 0 {
- panic(nLT0)
- }
- if k < 0 {
- panic(kLT0)
- }
- if ldc < n {
- panic(badLdC)
- }
- var row, col int
- if tA == blas.NoTrans {
- row, col = n, k
- } else {
- row, col = k, n
- }
- if lda*(row-1)+col > len(a) || lda < max(1, col) {
- panic(badLdA)
- }
- if ldc*(n-1)+n > len(c) || ldc < max(1, n) {
- panic(badLdC)
- }
- if alpha == 0 {
- if beta == 0 {
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc+i : i*ldc+n]
- for j := range ctmp {
- ctmp[j] = 0
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc : i*ldc+i+1]
- for j := range ctmp {
- ctmp[j] = 0
- }
- }
- return
- }
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc+i : i*ldc+n]
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc : i*ldc+i+1]
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- return
- }
- if tA == blas.NoTrans {
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc+i : i*ldc+n]
- atmp := a[i*lda : i*lda+k]
- for jc, vc := range ctmp {
- j := jc + i
- ctmp[jc] = vc*beta + alpha*f64.DotUnitary(atmp, a[j*lda:j*lda+k])
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- atmp := a[i*lda : i*lda+k]
- for j, vc := range c[i*ldc : i*ldc+i+1] {
- c[i*ldc+j] = vc*beta + alpha*f64.DotUnitary(a[j*lda:j*lda+k], atmp)
- }
- }
- return
- }
- // Cases where a is transposed.
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc+i : i*ldc+n]
- if beta != 1 {
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- for l := 0; l < k; l++ {
- tmp := alpha * a[l*lda+i]
- if tmp != 0 {
- f64.AxpyUnitaryTo(ctmp, tmp, a[l*lda+i:l*lda+n], ctmp)
- }
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc : i*ldc+i+1]
- if beta != 0 {
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- for l := 0; l < k; l++ {
- tmp := alpha * a[l*lda+i]
- if tmp != 0 {
- f64.AxpyUnitaryTo(ctmp, tmp, a[l*lda:l*lda+i+1], ctmp)
- }
- }
- }
-}
-
-// Dsyr2k performs the symmetric rank 2k operation
-// C = alpha * A * B^T + alpha * B * A^T + beta * C
-// where C is an n×n symmetric matrix. A and B are n×k matrices if
-// tA == NoTrans and k×n otherwise. alpha and beta are scalars.
-func (Implementation) Dsyr2k(ul blas.Uplo, tA blas.Transpose, n, k int, alpha float64, a []float64, lda int, b []float64, ldb int, beta float64, c []float64, ldc int) {
- if ul != blas.Lower && ul != blas.Upper {
- panic(badUplo)
- }
- if tA != blas.Trans && tA != blas.NoTrans && tA != blas.ConjTrans {
- panic(badTranspose)
- }
- if n < 0 {
- panic(nLT0)
- }
- if k < 0 {
- panic(kLT0)
- }
- if ldc < n {
- panic(badLdC)
- }
- var row, col int
- if tA == blas.NoTrans {
- row, col = n, k
- } else {
- row, col = k, n
- }
- if lda*(row-1)+col > len(a) || lda < max(1, col) {
- panic(badLdA)
- }
- if ldb*(row-1)+col > len(b) || ldb < max(1, col) {
- panic(badLdB)
- }
- if ldc*(n-1)+n > len(c) || ldc < max(1, n) {
- panic(badLdC)
- }
- if alpha == 0 {
- if beta == 0 {
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc+i : i*ldc+n]
- for j := range ctmp {
- ctmp[j] = 0
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc : i*ldc+i+1]
- for j := range ctmp {
- ctmp[j] = 0
- }
- }
- return
- }
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc+i : i*ldc+n]
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc : i*ldc+i+1]
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- return
- }
- if tA == blas.NoTrans {
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- atmp := a[i*lda : i*lda+k]
- btmp := b[i*ldb : i*ldb+k]
- ctmp := c[i*ldc+i : i*ldc+n]
- for jc := range ctmp {
- j := i + jc
- var tmp1, tmp2 float64
- binner := b[j*ldb : j*ldb+k]
- for l, v := range a[j*lda : j*lda+k] {
- tmp1 += v * btmp[l]
- tmp2 += atmp[l] * binner[l]
- }
- ctmp[jc] *= beta
- ctmp[jc] += alpha * (tmp1 + tmp2)
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- atmp := a[i*lda : i*lda+k]
- btmp := b[i*ldb : i*ldb+k]
- ctmp := c[i*ldc : i*ldc+i+1]
- for j := 0; j <= i; j++ {
- var tmp1, tmp2 float64
- binner := b[j*ldb : j*ldb+k]
- for l, v := range a[j*lda : j*lda+k] {
- tmp1 += v * btmp[l]
- tmp2 += atmp[l] * binner[l]
- }
- ctmp[j] *= beta
- ctmp[j] += alpha * (tmp1 + tmp2)
- }
- }
- return
- }
- if ul == blas.Upper {
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc+i : i*ldc+n]
- if beta != 1 {
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- for l := 0; l < k; l++ {
- tmp1 := alpha * b[l*lda+i]
- tmp2 := alpha * a[l*lda+i]
- btmp := b[l*ldb+i : l*ldb+n]
- if tmp1 != 0 || tmp2 != 0 {
- for j, v := range a[l*lda+i : l*lda+n] {
- ctmp[j] += v*tmp1 + btmp[j]*tmp2
- }
- }
- }
- }
- return
- }
- for i := 0; i < n; i++ {
- ctmp := c[i*ldc : i*ldc+i+1]
- if beta != 1 {
- for j := range ctmp {
- ctmp[j] *= beta
- }
- }
- for l := 0; l < k; l++ {
- tmp1 := alpha * b[l*lda+i]
- tmp2 := alpha * a[l*lda+i]
- btmp := b[l*ldb : l*ldb+i+1]
- if tmp1 != 0 || tmp2 != 0 {
- for j, v := range a[l*lda : l*lda+i+1] {
- ctmp[j] += v*tmp1 + btmp[j]*tmp2
- }
- }
- }
- }
-}
-
-// Dtrmm performs
-// B = alpha * A * B, if tA == blas.NoTrans and side == blas.Left,
-// B = alpha * A^T * B, if tA == blas.Trans or blas.ConjTrans, and side == blas.Left,
-// B = alpha * B * A, if tA == blas.NoTrans and side == blas.Right,
-// B = alpha * B * A^T, if tA == blas.Trans or blas.ConjTrans, and side == blas.Right,
-// where A is an n×n or m×m triangular matrix, and B is an m×n matrix.
-func (Implementation) Dtrmm(s blas.Side, ul blas.Uplo, tA blas.Transpose, d blas.Diag, m, n int, alpha float64, a []float64, lda int, b []float64, ldb int) {
- if s != blas.Left && s != blas.Right {
- panic(badSide)
- }
- if ul != blas.Lower && ul != blas.Upper {
- panic(badUplo)
- }
- if tA != blas.NoTrans && tA != blas.Trans && tA != blas.ConjTrans {
- panic(badTranspose)
- }
- if d != blas.NonUnit && d != blas.Unit {
- panic(badDiag)
- }
- if m < 0 {
- panic(mLT0)
- }
- if n < 0 {
- panic(nLT0)
- }
- var k int
- if s == blas.Left {
- k = m
- } else {
- k = n
- }
- if lda*(k-1)+k > len(a) || lda < max(1, k) {
- panic(badLdA)
- }
- if ldb*(m-1)+n > len(b) || ldb < max(1, n) {
- panic(badLdB)
- }
- if alpha == 0 {
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- for j := range btmp {
- btmp[j] = 0
- }
- }
- return
- }
-
- nonUnit := d == blas.NonUnit
- if s == blas.Left {
- if tA == blas.NoTrans {
- if ul == blas.Upper {
- for i := 0; i < m; i++ {
- tmp := alpha
- if nonUnit {
- tmp *= a[i*lda+i]
- }
- btmp := b[i*ldb : i*ldb+n]
- for j := range btmp {
- btmp[j] *= tmp
- }
- for ka, va := range a[i*lda+i+1 : i*lda+m] {
- k := ka + i + 1
- tmp := alpha * va
- if tmp != 0 {
- f64.AxpyUnitaryTo(btmp, tmp, b[k*ldb:k*ldb+n], btmp)
- }
- }
- }
- return
- }
- for i := m - 1; i >= 0; i-- {
- tmp := alpha
- if nonUnit {
- tmp *= a[i*lda+i]
- }
- btmp := b[i*ldb : i*ldb+n]
- for j := range btmp {
- btmp[j] *= tmp
- }
- for k, va := range a[i*lda : i*lda+i] {
- tmp := alpha * va
- if tmp != 0 {
- f64.AxpyUnitaryTo(btmp, tmp, b[k*ldb:k*ldb+n], btmp)
- }
- }
- }
- return
- }
- // Cases where a is transposed.
- if ul == blas.Upper {
- for k := m - 1; k >= 0; k-- {
- btmpk := b[k*ldb : k*ldb+n]
- for ia, va := range a[k*lda+k+1 : k*lda+m] {
- i := ia + k + 1
- btmp := b[i*ldb : i*ldb+n]
- tmp := alpha * va
- if tmp != 0 {
- f64.AxpyUnitaryTo(btmp, tmp, btmpk, btmp)
- }
- }
- tmp := alpha
- if nonUnit {
- tmp *= a[k*lda+k]
- }
- if tmp != 1 {
- for j := 0; j < n; j++ {
- btmpk[j] *= tmp
- }
- }
- }
- return
- }
- for k := 0; k < m; k++ {
- btmpk := b[k*ldb : k*ldb+n]
- for i, va := range a[k*lda : k*lda+k] {
- btmp := b[i*ldb : i*ldb+n]
- tmp := alpha * va
- if tmp != 0 {
- f64.AxpyUnitaryTo(btmp, tmp, btmpk, btmp)
- }
- }
- tmp := alpha
- if nonUnit {
- tmp *= a[k*lda+k]
- }
- if tmp != 1 {
- for j := 0; j < n; j++ {
- btmpk[j] *= tmp
- }
- }
- }
- return
- }
- // Cases where a is on the right
- if tA == blas.NoTrans {
- if ul == blas.Upper {
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- for k := n - 1; k >= 0; k-- {
- tmp := alpha * btmp[k]
- if tmp != 0 {
- btmp[k] = tmp
- if nonUnit {
- btmp[k] *= a[k*lda+k]
- }
- for ja, v := range a[k*lda+k+1 : k*lda+n] {
- j := ja + k + 1
- btmp[j] += tmp * v
- }
- }
- }
- }
- return
- }
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- for k := 0; k < n; k++ {
- tmp := alpha * btmp[k]
- if tmp != 0 {
- btmp[k] = tmp
- if nonUnit {
- btmp[k] *= a[k*lda+k]
- }
- f64.AxpyUnitaryTo(btmp, tmp, a[k*lda:k*lda+k], btmp)
- }
- }
- }
- return
- }
- // Cases where a is transposed.
- if ul == blas.Upper {
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- for j, vb := range btmp {
- tmp := vb
- if nonUnit {
- tmp *= a[j*lda+j]
- }
- tmp += f64.DotUnitary(a[j*lda+j+1:j*lda+n], btmp[j+1:n])
- btmp[j] = alpha * tmp
- }
- }
- return
- }
- for i := 0; i < m; i++ {
- btmp := b[i*ldb : i*ldb+n]
- for j := n - 1; j >= 0; j-- {
- tmp := btmp[j]
- if nonUnit {
- tmp *= a[j*lda+j]
- }
- tmp += f64.DotUnitary(a[j*lda:j*lda+j], btmp[:j])
- btmp[j] = alpha * tmp
- }
- }
-}