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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 isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
var format = require( '@stdlib/string/format' );
var real = require( '@stdlib/complex/float64/real' );
var imag = require( '@stdlib/complex/float64/imag' );
var base = require( './base.js' );
// MAIN //
/**
* Performs the hermitian rank 2 operation `A = alpha*x*y**H + conjg( alpha )*y*x**H + A`, where `alpha` is a scalar, `x` and `y` are `N` element vectors and `A` is an `N` by `N` hermitian matrix.
*
* @private
* @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 {Complex128} alpha - scalar
* @param {Complex128Array} x - first input array
* @param {integer} strideX - `x` stride length
* @param {NonNegativeInteger} offsetX - starting `x` index
* @param {Complex128Array} y - second input array
* @param {integer} strideY - `y` stride length
* @param {NonNegativeInteger} offsetY - starting `y` index
* @param {Complex128Array} 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`
* @throws {TypeError} first argument must specify whether to reference the lower or upper triangular matrix
* @throws {RangeError} second argument must be a nonnegative integer
* @throws {RangeError} fifth argument must be non-zero
* @throws {RangeError} eighth argument must be non-zero
* @throws {RangeError} eleventh argument must be non-zero
* @throws {RangeError} twelfth argument must be non-zero
* @returns {Complex128Array} `A`
*
* @example
* var Complex128Array = require( '@stdlib/array/complex128' );
* var Complex128 = require( '@stdlib/complex/float64/ctor' );
*
* var x = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0 ] );
* var y = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0 ] );
* var A = new Complex128Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 3.0, 4.0, 0.0 ] );
* var alpha = new Complex128( 1.0, 0.0 );
*
* zher2( 'lower', x.length, alpha, x, 1, 0, y, 1, 0, A, 2, 1, 0 );
* // A => <Complex128Array>[ 5.0, 0.0, 0.0, 0.0, 6.0, 3.0, 8.0, 0.0 ]
*/
function zher2( uplo, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA ) { // eslint-disable-line max-params, max-len
if ( !isMatrixTriangle( uplo ) ) {
throw new TypeError( format( 'invalid argument. First argument must specify whether to reference the lower or upper triangular matrix. Value: `%s`.', uplo ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Second argument must be a nonnegative integer. Value: `%d`.', N ) );
}
if ( strideX === 0 ) {
throw new RangeError( format( 'invalid argument. Fifth 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 ( strideA1 === 0 ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be non-zero. Value: `%d`.', strideA1 ) );
}
if ( strideA2 === 0 ) {
throw new RangeError( format( 'invalid argument. Twelfth argument must be non-zero. Value: `%d`.', strideA2 ) );
}
if ( N === 0 || ( real( alpha ) === 0.0 && imag( alpha ) === 0.0 ) ) {
return A;
}
return base( uplo, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA );
}
// EXPORTS //
module.exports = zher2;
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