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 | 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 4x 4x 32x 4x 4x 32x 3x 3x 32x 1x 1x 32x 6x 6x 32x 4x 4x 32x 5x 5x 5x 5x 5x 5x 10x 10x 32x 2x 2x 2x 2x 2x | /**
* @license Apache-2.0
*
* Copyright (c) 2025 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 isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
var stride2offset = require( '@stdlib/strided/base/stride2offset' );
var format = require( '@stdlib/string/format' );
var ndarray = require( './ndarray.js' );
// MAIN //
/**
* Performs the hermitian rank 1 operation `A = alpha*x*x**H + A`, where `alpha` is a real scalar, `x` is an `N` element vector and `A` is an `N` by `N` hermitian matrix.
*
* @param {string} order - storage layout
* @param {string} uplo - specifies whether `A` is an upper or lower triangular part of matrix is supplied.
* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
* @param {number} alpha - scalar constant
* @param {Complex64Array} x - input array
* @param {integer} strideX - `x` stride length
* @param {Complex64Array} A - input matrix
* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must specify whether to reference the lower or upper triangular matrix
* @throws {RangeError} third argument must be a nonnegative integer
* @throws {RangeError} sixth argument must be non-zero
* @throws {RangeError} eighth argument must be greater than or equal to max(1,N)
* @returns {Complex64Array} `A`
*
* @example
* var Complex64Array = require( '@stdlib/array/complex64' );
*
* var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
* var A = new Complex64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 3.0, 4.0, 0.0 ] );
*
* cher( 'row-major', 'lower', x.length, 2.0, x, 1, A, 2 );
* // A => <Complex64Array>[ 11.0, 0.0, 0.0, 0.0, 24.0, -1.0, 54.0, 0.0 ]
*/
function cher( order, uplo, N, alpha, x, strideX, A, LDA ) {
var sa1;
var sa2;
var ox;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( !isMatrixTriangle( uplo ) ) {
throw new TypeError( format( 'invalid argument. Second argument must specify whether to reference the lower or upper triangular matrix. Value: `%s`.', uplo ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
}
if ( strideX === 0 ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be non-zero. Value: `%d`.', strideX ) );
}
if ( LDA < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDA ) );
}
if ( N === 0 || alpha === 0.0 ) {
return A;
}
if ( isColumnMajor( order ) ) {
sa1 = 1;
sa2 = LDA;
} else { // order === 'row-major'
sa1 = LDA;
sa2 = 1;
}
ox = stride2offset( N, strideX );
return ndarray( uplo, N, alpha, x, strideX, ox, A, sa1, sa2, 0 );
}
// EXPORTS //
module.exports = cher;
|