Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 | 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 76x 76x 76x 76x 76x 76x 76x 76x 4x 4x 76x 4x 4x 76x 4x 4x 76x 4x 4x 76x 4x 4x 76x 3x 3x 76x 3x 3x 76x 34x 76x 16x 16x 76x 5x 5x 76x 5x 5x 40x 76x 20x 20x 20x 20x 20x 20x 20x 20x 20x 20x 40x 76x 2x 2x 2x 2x 2x | /**
* @license Apache-2.0
*
* Copyright (c) 2024 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var max = require( '@stdlib/math/base/special/fast/max' );
var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
var isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
var isOperationSide = require( '@stdlib/blas/base/assert/is-operation-side' );
var isTransposeOperation = require( '@stdlib/blas/base/assert/is-transpose-operation' );
var isDiagonalType = require( '@stdlib/blas/base/assert/is-diagonal-type' );
var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
var format = require( '@stdlib/string/format' );
var base = require( './base.js' );
// MAIN //
/**
* Solve matrix equation `op(A) * X = alpha * B` or `X * op(A) = alpha * B` where `alpha` is a scalar, `X` and `B` are `M` by `N` matrices, `A` is a unit, or non-unit, upper or lower triangular matrix and `op(A)` is one of `op(A) = A` or `op(A) = A^T`. The matrix `X` is overwritten on `B`.
*
* @param {string} order - storage layout of `A` and `B`
* @param {string} side - specifies whether `op( A )` appears on the left or right of `X`
* @param {string} uplo - specifies whether the upper or lower triangular part of the matrix `A` is supplied
* @param {string} transa - specifies the form of `op( A )` to be used in matrix multiplication
* @param {string} diag - specifies whether or not `A` is unit triangular
* @param {NonNegativeInteger} M - number of rows in `B`
* @param {NonNegativeInteger} N - number of columns in `B`
* @param {number} alpha - scalar constant
* @param {Float32Array} A - input matrix `A`
* @param {NonNegativeInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {Float32Array} B - input matrix `B`
* @param {NonNegativeInteger} LDB - stride of the first dimension of `B` (a.k.a., leading dimension of the matrix `B`)
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must be a valid side
* @throws {TypeError} third argument must specify whether the lower or upper triangular matrix is supplied
* @throws {TypeError} fourth argument must specify correct transpose operation
* @throws {TypeError} fifth argument must specify whether the matrix is unit triangular or not
* @throws {RangeError} sixth argument must be a nonnegative integer
* @throws {RangeError} seventh argument must be a nonnegative integer
* @throws {RangeError} tenth argument must be greater than or equal to max(1,M) when `A` is on left side and max(1,N) otherwise
* @throws {RangeError} twelfth argument must be greater than or equal to max(1,M)
* @returns {Float32Array} `B`
*
* @example
* var Float32Array = require( '@stdlib/array/float32' );
*
* var A = new Float32Array( [ 1.0, 3.0, 0.0, 4.0 ] );
* var B = new Float32Array( [ 5.0, 7.0, 0.0, 8.0 ] );
*
* strsm( 'row-major', 'left', 'upper', 'no-transpose', 'non-unit', 2, 2, 6.0, A, 2, B, 2 );
* // B => <Float32Array>[ 30.0, 0.0, 0.0, 12.0 ]
*/
function strsm( order, side, uplo, transa, diag, M, N, alpha, A, LDA, B, LDB ) { // eslint-disable-line max-params
var nrowsa;
var isrm;
var sa1;
var sa2;
var sb1;
var sb2;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( !isOperationSide( side ) ) {
throw new TypeError( format( 'invalid argument. Second argument must be a valid side. Value: `%s`.', side ) );
}
if ( !isMatrixTriangle( uplo ) ) {
throw new TypeError( format( 'invalid argument. Thirds argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
}
if ( !isTransposeOperation( transa ) ) {
throw new TypeError( format( 'invalid argument. Fourth argument must specify correct transpose operation. Value: `%s`.', transa ) );
}
if ( !isDiagonalType( diag ) ) {
throw new TypeError( format( 'invalid argument. Fifth argument must specify whether the matrix is unit triangular or not. Value: `%s`.', diag ) );
}
if ( M < 0 ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Seventh argument must be a nonnegative integer. Value: `%d`.', N ) );
}
if ( side === 'left' ) {
nrowsa = M;
} else {
nrowsa = N;
}
if ( LDA < max( 1, nrowsa ) ) {
throw new RangeError( format( 'invalid argument. Tenth argument must be greater than or equal to max(1,%d). Value: `%d`.', nrowsa, LDA ) );
}
if ( LDB < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Twelfth argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDB ) );
}
isrm = isRowMajor( order );
if ( !isrm ) {
sa1 = 1;
sa2 = LDA;
sb1 = 1;
sb2 = LDB;
} else { // order === 'row-major'
sa1 = LDA;
sa2 = 1;
sb1 = LDB;
sb2 = 1;
}
return base( side, uplo, transa, diag, M, N, alpha, A, sa1, sa2, 0, B, sb1, sb2, 0 ); // eslint-disable-line max-len
}
// EXPORTS //
module.exports = strsm;
|