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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 | 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 32x 32x 32x 32x 32x 32x 32x 32x 32x 32x 32x 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 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 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} 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 {integer} strideA1 - stride of the first dimension of `A` * @param {integer} strideA2 - stride of the second dimension of `A` * @param {NonNegativeInteger} offsetA - starting index for `A` * @param {Float32Array} B - input matrix `B` * @param {integer} strideB1 - stride of the first dimension of `B` * @param {integer} strideB2 - stride of the second dimension of `B` * @param {NonNegativeInteger} offsetB - starting index for `B` * @throws {TypeError} first argument must be a valid side * @throws {TypeError} second argument must specify whether the lower or upper triangular matrix is supplied. * @throws {TypeError} third argument must specify correct transpose operation * @throws {TypeError} fourth argument must specify whether the matrix is unit triangular or not * @throws {RangeError} fifth argument must be a nonnegative integer * @throws {RangeError} sixth argument must be a nonnegative integer * @throws {RangeError} thirteenth argument must be non-zero * @throws {RangeError} fourteenth argument must be non-zero * @returns {Float32Array} `B` * * @example * var Float32Array = require( '@stdlib/array/float32' ); * * var A = new Float32Array( [ 0.0, 0.0, 1.0, 3.0, 0.0, 4.0 ] ); * var B = new Float32Array( [ 0.0, 5.0, 7.0, 0.0, 8.0 ] ); * * strsm( 'left', 'upper', 'no-transpose', 'non-unit', 2, 2, 6.0, A, 2, 1, 2, B, 2, 1, 1 ); * // B => <Float32Array>[ 0.0, 30.0, 0.0, 0.0, 12.0 ] */ function strsm( side, uplo, transa, diag, M, N, alpha, A, strideA1, strideA2, offsetA, B, strideB1, strideB2, offsetB ) { // eslint-disable-line max-len, max-params if ( !isOperationSide( side ) ) { throw new TypeError( format( 'invalid argument. First argument must be a valid side. Value: `%s`.', side ) ); } if ( !isMatrixTriangle( uplo ) ) { throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) ); } if ( !isTransposeOperation( transa ) ) { throw new TypeError( format( 'invalid argument. Third argument must specify correct transpose operation. Value: `%s`.', transa ) ); } if ( !isDiagonalType( diag ) ) { throw new TypeError( format( 'invalid argument. Fourth argument must specify whether the matrix is unit triangular or not. Value: `%s`.', diag ) ); } if ( M < 0 ) { throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', M ) ); } if ( N < 0 ) { throw new RangeError( format( 'invalid argument. Sixth argument must be a nonnegative integer. Value: `%d`.', N ) ); } if ( strideB1 === 0 ) { throw new RangeError( format( 'invalid argument. Thirteenth argument must be non-zero. Value: `%d`.', strideB1 ) ); } if ( strideB2 === 0 ) { throw new RangeError( format( 'invalid argument. Fourteenth argument must be non-zero. Value: `%d`.', strideB2 ) ); } return base( side, uplo, transa, diag, M, N, alpha, A, strideA1, strideA2, offsetA, B, strideB1, strideB2, offsetB ); // eslint-disable-line max-len } // EXPORTS // module.exports = strsm; |