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| /** | ||
| * @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. | ||
| */ | ||
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| 'use strict'; | ||
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| // MODULES // | ||
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| var dfill = require( './../../../ext/base/dfill' ).ndarray; | ||
| var dscal = require( './../../../base/dscal' ).ndarray; | ||
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| // MAIN // | ||
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| /** | ||
| * Performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form. | ||
| * | ||
| * @private | ||
| * @param {string} order - storage layout | ||
| * @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied | ||
| * @param {NonNegativeInteger} N - number of elements along each dimension of `A` | ||
| * @param {number} alpha - scalar constant | ||
| * @param {Float64Array} AP - packed form of a symmetric matrix `A` | ||
| * @param {Float64Array} x - first input array | ||
| * @param {integer} strideX - `x` stride length | ||
| * @param {NonNegativeInteger} offsetX - starting `x` index | ||
| * @param {number} beta - scalar constant | ||
| * @param {Float64Array} y - second input array | ||
| * @param {integer} strideY - `y` stride length | ||
| * @param {NonNegativeInteger} offsetY - starting `y` index | ||
| * @returns {Float64Array} `y` | ||
| * | ||
| * @example | ||
| * var Float64Array = require( '@stdlib/array/float64' ); | ||
| * | ||
| * var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); | ||
| * var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); | ||
| * var y = new Float64Array( [ 1.0, 1.0, 1.0 ] ); | ||
| * | ||
| * dspmv( 'column-major', 'lower', 3, 1.0, A, x, 1, 0, 1.0, y, 1, 0 ); | ||
| * // y => <Float64Array>[ ~7.0, ~12.0, ~15.0 ] | ||
| */ | ||
| function dspmv( order, uplo, N, alpha, AP, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len | ||
| var temp1; | ||
| var temp2; | ||
| var ix; | ||
| var iy; | ||
| var jx; | ||
| var jy; | ||
| var kk; | ||
| var kx; | ||
| var ky; | ||
| var j; | ||
| var k; | ||
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| if ( N === 0 || ( alpha === 0.0 && beta === 1.0 ) ) { | ||
| return y; | ||
| } | ||
| // Form: y = beta*y | ||
| if ( beta !== 1.0 ) { | ||
| if ( beta === 0.0 ) { | ||
| dfill( N, 0.0, y, strideY, offsetY ); | ||
| } else { | ||
| dscal( N, beta, y, strideY, offsetY ); | ||
| } | ||
| } | ||
| if ( alpha === 0.0 ) { | ||
| return y; | ||
| } | ||
| // Form: y = alpha*A*x + y | ||
| kx = offsetX; | ||
| ky = offsetY; | ||
| kk = 0; | ||
| if ( | ||
| ( order === 'row-major' && uplo === 'upper' ) || | ||
| ( order === 'column-major' && uplo === 'lower' ) | ||
| ) { | ||
| jx = kx; | ||
| jy = ky; | ||
| for ( j = 0; j < N; j++ ) { | ||
| temp1 = alpha * x[ jx ]; | ||
| temp2 = 0.0; | ||
| y[ jy ] += temp1 * AP[ kk ]; | ||
| ix = jx; | ||
| iy = jy; | ||
| for ( k = kk + 1; k < kk + N - j; k++ ) { | ||
| ix += strideX; | ||
| iy += strideY; | ||
| y[ iy ] += temp1 * AP[ k ]; | ||
| temp2 += AP[ k ] * x[ ix ]; | ||
| } | ||
| y[ jy ] += alpha * temp2; | ||
| jx += strideX; | ||
| jy += strideY; | ||
| kk += N - j; | ||
| } | ||
| return y; | ||
| } | ||
| // ( order === 'row-major' && uplo === 'lower') || ( order === 'column-major' && uplo === 'upper' ) | ||
| jx = kx; | ||
| jy = ky; | ||
| for ( j = 0; j < N; j++ ) { | ||
| temp1 = alpha * x[ jx ]; | ||
| temp2 = 0.0; | ||
| ix = kx; | ||
| iy = ky; | ||
| for ( k = kk; k < kk + j; k++ ) { | ||
| y[ iy ] += temp1 * AP[ k ]; | ||
| temp2 += AP[ k ] * x[ ix ]; | ||
| ix += strideX; | ||
| iy += strideY; | ||
| } | ||
| y[ jy ] += ( temp1 * AP[ kk + j ] ) + ( alpha * temp2 ); | ||
| jx += strideX; | ||
| jy += strideY; | ||
| kk += j + 1; | ||
| } | ||
| return y; | ||
| } | ||
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| // EXPORTS // | ||
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| module.exports = dspmv; |
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