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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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 | 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 30x 30x 30x 30x 30x 30x 30x 30x 30x 30x 30x 30x 30x 30x 16x 16x 16x 30x 14x 14x 14x 14x 30x 30x 30x 19x 30x 14x 14x 42x 42x 42x 42x 42x 84x 84x 84x 42x 42x 42x 14x 14x 16x 16x 30x 48x 48x 48x 48x 48x 96x 96x 96x 48x 48x 48x 16x 30x 3x 3x 3x 3x 3x | /** * @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 isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' ); // MAIN // /** * Performs the symmetric rank 1 operation `A = α*x*x^T + A` where `α` is a scalar, `x` is an `N` element vector, and `A` is an `N` by `N` symmetric matrix. * * @private * @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` should be referenced * @param {NonNegativeInteger} N - number of elements along each dimension of `A` * @param {number} alpha - scalar * @param {Float64Array} x - input vector * @param {integer} strideX - `x` stride length * @param {NonNegativeInteger} offsetX - starting index for `x` * @param {Float64Array} A - input matrix * @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` * @returns {Float64Array} `A` * * @example * var Float64Array = require( '@stdlib/array/float64' ); * * var A = new Float64Array( [ 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 0.0, 0.0, 1.0 ] ); // => [ [ 1.0, 2.0, 3.0 ], [ 0.0, 1.0, 2.0 ], [ 0.0, 0.0, 1.0 ] ] * var x = new Float64Array( [ 1.0, 2.0, 3.0 ] ); * * dsyr( 'upper', 3, 1.0, x, 1, 0, A, 3, 1, 0 ); * // A => <Float64Array>[ 2.0, 4.0, 6.0, 0.0, 5.0, 8.0, 0.0, 0.0, 10.0 ] */ function dsyr( uplo, N, alpha, x, strideX, offsetX, A, strideA1, strideA2, offsetA ) { // eslint-disable-line max-len var isrm; var tmp; var ix0; var ix1; var sa0; var sa1; var i0; var i1; var oa; var ox; isrm = isRowMajor( [ strideA1, strideA2 ] ); if ( isrm ) { // For row-major matrices, the last dimension has the fastest changing index... sa0 = strideA2; // stride for innermost loop sa1 = strideA1; // stride for outermost loop } else { // isColMajor // For column-major matrices, the first dimension has the fastest changing index... sa0 = strideA1; // stride for innermost loop sa1 = strideA2; // stride for outermost loop } ox = offsetX; if ( ( !isrm && uplo === 'upper' ) || ( isrm && uplo === 'lower' ) ) { ix1 = ox; for ( i1 = 0; i1 < N; i1++ ) { if ( x[ ix1 ] !== 0.0 ) { tmp = alpha * x[ ix1 ]; oa = offsetA + (sa1*i1); ix0 = ox; for ( i0 = 0; i0 <= i1; i0++ ) { A[ oa+(sa0*i0) ] += x[ ix0 ] * tmp; ix0 += strideX; } } ix1 += strideX; } return A; } // ( isrm && uplo === 'upper' ) || ( !isrm && uplo === 'lower' ) ix1 = ox; for ( i1 = 0; i1 < N; i1++ ) { if ( x[ ix1 ] !== 0.0 ) { tmp = alpha * x[ ix1 ]; oa = offsetA + (sa1*i1); ix0 = ix1; for ( i0 = i1; i0 < N; i0++ ) { A[ oa+(sa0*i0) ] += x[ ix0 ] * tmp; ix0 += strideX; } } ix1 += strideX; } return A; } // EXPORTS // module.exports = dsyr; |