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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 reinterpret = require( '@stdlib/strided/base/reinterpret-complex64' );
var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' );
var realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
var f32 = require( '@stdlib/number/float64/base/to-float32' );
// 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 {Complex64} alpha - scalar
* @param {Complex64Array} x - first input array
* @param {integer} strideX - `x` stride length
* @param {NonNegativeInteger} offsetX - starting `x` index
* @param {Complex64Array} y - second input array
* @param {integer} strideY - `y` stride length
* @param {NonNegativeInteger} offsetY - starting `y` index
* @param {Complex64Array} 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 {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( 'lower', x.length, alpha, x, 1, 0, y, 1, 0, A, 2, 1, 0 );
* // A => <Complex64Array>[ 5.0, 0.0, 0.0, 0.0, 6.0, 3.0, 8.0, 0.0 ]
*/
function cher2( uplo, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA ) { // eslint-disable-line max-params, max-len
var realpha;
var imalpha;
var retmp1;
var imtmp1;
var retmp2;
var imtmp2;
var viewX;
var viewY;
var viewA;
var xre0;
var xim0;
var yre0;
var yim0;
var xre1;
var xim1;
var yre1;
var yim1;
var isrm;
var idx;
var ix1;
var iy1;
var ix0;
var iy0;
var re0;
var im0;
var re1;
var im1;
var sa0;
var sa1;
var re;
var im;
var i1;
var i0;
var ix;
var iy;
var ia;
var sx;
var sy;
realpha = realf( alpha );
imalpha = imagf( alpha );
viewX = reinterpret( x, 0 );
viewY = reinterpret( y, 0 );
viewA = reinterpret( A, 0 );
isrm = isRowMajor( [ strideA1, strideA2 ] );
if ( isrm ) {
sa0 = strideA2 * 2;
sa1 = strideA1 * 2;
} else {
sa0 = strideA1 * 2;
sa1 = strideA2 * 2;
}
ix = offsetX * 2;
iy = offsetY * 2;
ia = offsetA * 2;
sx = strideX * 2;
sy = strideY * 2;
if ( ( isrm && uplo === 'upper' ) || ( !isrm && uplo === 'lower' ) ) {
for ( i1 = 0; i1 < N; i1++ ) {
ix1 = ix + ( i1 * sx );
iy1 = iy + ( i1 * sy );
xre0 = f32( viewX[ ix1 ] );
xim0 = f32( viewX[ ix1 + 1 ] );
yre0 = f32( viewY[ iy1 ] );
yim0 = f32( viewY[ iy1 + 1 ] );
for ( i0 = i1; i0 < N; i0++ ) {
ix0 = ix + ( i0 * sx );
iy0 = iy + ( i0 * sy );
xre1 = f32( viewX[ ix0 ] );
xim1 = f32( viewX[ ix0 + 1 ] );
yre1 = f32( viewY[ iy0 ] );
yim1 = f32( viewY[ iy0 + 1 ] );
re0 = f32( ( xre0 * yre1 ) + ( xim0 * yim1 ) );
im0 = f32( ( xim0 * yre1 ) - ( xre0 * yim1 ) );
retmp1 = f32( ( realpha * re0 ) - ( imalpha * im0 ) );
imtmp1 = f32( ( realpha * im0 ) + ( imalpha * re0 ) );
re1 = f32( ( yre0 * xre1 ) + ( yim0 * xim1 ) );
im1 = f32( ( yim0 * xre1 ) - ( yre0 * xim1 ) );
retmp2 = f32( ( realpha * re1 ) + ( imalpha * im1 ) );
imtmp2 = f32( ( realpha * im1 ) - ( imalpha * re1 ) );
re = f32( retmp1 + retmp2 );
im = f32( imtmp1 + imtmp2 );
idx = ia + ( i0 * sa0 ) + ( i1 * sa1 );
viewA[ idx ] = f32( viewA[ idx ] + re );
viewA[ idx + 1 ] = f32( viewA[ idx + 1 ] + im );
if ( i0 === i1 ) {
viewA[ idx + 1 ] = 0.0;
}
}
}
return A;
}
// ( isrm && uplo === 'lower' ) || ( !isrm && uplo === 'upper' )
for ( i1 = 0; i1 < N; i1++ ) {
ix1 = ix + ( i1 * sx );
iy1 = iy + ( i1 * sy );
xre0 = f32( viewX[ ix1 ] );
xim0 = f32( viewX[ ix1 + 1 ] );
yre0 = f32( viewY[ iy1 ] );
yim0 = f32( viewY[ iy1 + 1 ] );
for ( i0 = 0; i0 <= i1; i0++ ) {
ix0 = ix + ( i0 * sx );
iy0 = iy + ( i0 * sy );
xre1 = f32( viewX[ ix0 ] );
xim1 = f32( viewX[ ix0 + 1 ] );
yre1 = f32( viewY[ iy0 ] );
yim1 = f32( viewY[ iy0 + 1 ] );
re0 = f32( ( xre0 * yre1 ) + ( xim0 * yim1 ) );
im0 = f32( ( xim0 * yre1 ) - ( xre0 * yim1 ) );
retmp1 = f32( ( realpha * re0 ) - ( imalpha * im0 ) );
imtmp1 = f32( ( realpha * im0 ) + ( imalpha * re0 ) );
re1 = f32( ( yre0 * xre1 ) + ( yim0 * xim1 ) );
im1 = f32( ( yim0 * xre1 ) - ( yre0 * xim1 ) );
retmp2 = f32( ( realpha * re1 ) + ( imalpha * im1 ) );
imtmp2 = f32( ( realpha * im1 ) - ( imalpha * re1 ) );
re = f32( retmp1 + retmp2 );
im = f32( imtmp1 + imtmp2 );
idx = ia + ( i0 * sa0 ) + ( i1 * sa1 );
viewA[ idx ] = f32( viewA[ idx ] + re );
viewA[ idx + 1 ] = f32( viewA[ idx + 1 ] + im );
if ( i0 === i1 ) {
viewA[ idx + 1 ] = 0.0;
}
}
}
return A;
}
// EXPORTS //
module.exports = cher2;
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