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* @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 realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
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 {Complex64} alpha - scalar constant
* @param {Complex64Array} x - input array
* @param {integer} strideX - `x` stride length
* @param {Complex64Array} y - input array
* @param {integer} strideY - `y` 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 non-zero
* @throws {RangeError} tenth argument must be greater than or equal to max(1,N)
* @returns {Complex64Array} `A`
*
* @example
* var Complex64Array = require( '@stdlib/array/complex64' );
* var Complex64 = require( '@stdlib/complex/float32/ctor' );
*
* var x = new Complex64Array( [ 1.0, 1.0, 1.0, 1.0 ] );
* var y = new Complex64Array( [ 1.0, 1.0, 1.0, 1.0 ] );
* var A = new Complex64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 3.0, 4.0, 0.0 ] );
* var alpha = new Complex64( 1.0, 0.0 );
*
* cher2( 'row-major', 'lower', x.length, alpha, x, 1, y, 1, A, 2 );
* // A => <Complex64Array>[ 5.0, 0.0, 0.0, 0.0, 6.0, 3.0, 8.0, 0.0 ]
*/
function cher2( order, uplo, N, alpha, x, strideX, y, strideY, A, LDA ) {
var sa1;
var sa2;
var ox;
var oy;
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 ( strideY === 0 ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be non-zero. Value: `%d`.', strideY ) );
}
if ( LDA < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Tenth argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDA ) );
}
if ( N === 0 || ( realf( alpha ) === 0.0 && imagf( alpha ) === 0.0 ) ) {
return A;
}
if ( isColumnMajor( order ) ) {
sa1 = 1;
sa2 = LDA;
} else { // order === 'row-major'
sa1 = LDA;
sa2 = 1;
}
ox = stride2offset( N, strideX );
oy = stride2offset( N, strideY );
return ndarray( uplo, N, alpha, x, strideX, ox, y, strideY, oy, A, sa1, sa2, 0 );
}
// EXPORTS //
module.exports = cher2;
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