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* @license Apache-2.0
*
* Copyright (c) 2026 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.
*/
/* eslint-disable max-len */
'use strict';
// MODULES //
var reinterpret = require( '@stdlib/strided/base/reinterpret-complex64' );
var realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
var caxpy = require( '@stdlib/blas/base/caxpy' ).ndarray;
var cscal = require( '@stdlib/blas/base/cscal' ).ndarray;
var muladd = require( '@stdlib/complex/float32/base/mul-add' ).assign;
var f32 = require( '@stdlib/number/float64/base/to-float32' );
// VARIABLES //
var M = 5;
// MAIN //
/**
* Multiplies a single-precision complex floating-point strided array `x` by a constant and adds the result to a single-precision complex floating-point strided array `y` multiplied by a constant using alternative indexing semantics.
*
* @param {PositiveInteger} N - number of indexed elements
* @param {Complex64} alpha - first scalar constant
* @param {Complex64Array} x - input array
* @param {integer} strideX - `x` stride length
* @param {NonNegativeInteger} offsetX - starting `x` index
* @param {Complex64} beta - second scalar constant
* @param {Complex64Array} y - output array
* @param {integer} strideY - `y` stride length
* @param {NonNegativeInteger} offsetY - starting `y` index
* @returns {Complex64Array} output array
*
* @example
* var Complex64Array = require( '@stdlib/array/complex64' );
* var Complex64 = require( '@stdlib/complex/float32/ctor' );
*
* var x = new Complex64Array( [ 1.0, 2.0, 3.0, -1.0, 0.0, 1.0 ] );
* var y = new Complex64Array( [ 2.0, 1.0, -1.0, 3.0, 4.0, 0.0 ] );
*
* var alpha = new Complex64( 2.0, 1.0 );
* var beta = new Complex64( 1.0, -1.0 );
*
* caxpby( x.length, alpha, x, 1, 0, beta, y, 1, 0 );
* // y => <Complex64Array>[ 3.0, 4.0, 9.0, 5.0, 3.0, -2.0 ]
*/
function caxpby( N, alpha, x, strideX, offsetX, beta, y, strideY, offsetY ) {
var xview;
var yview;
var are;
var aim;
var bre;
var bim;
var ix;
var iy;
var sx;
var sy;
var yr;
var yi;
var m;
var i;
if ( N <= 0 ) {
return y;
}
// Decompose the constants into their real and imaginary components:
are = realf( alpha );
aim = imagf( alpha );
bre = realf( beta );
bim = imagf( beta );
// Fast path: when alpha = 0+0i, delegate to cscal (y = beta * y)
if ( are === 0.0 && aim === 0.0 ) {
return cscal( N, beta, y, strideY, offsetY );
}
// Fast path: when beta = 1+0i, delegate to caxpy (y = alpha * x + y)
if ( bre === 1.0 && bim === 0.0 ) {
return caxpy( N, alpha, x, strideX, offsetX, y, strideY, offsetY );
}
// Reinterpret the complex input arrays as real-valued arrays:
xview = reinterpret( x, 0 );
yview = reinterpret( y, 0 );
// Adjust the strides and offsets according to the real-valued arrays:
ix = offsetX * 2;
iy = offsetY * 2;
sx = strideX * 2;
sy = strideY * 2;
// Use loop unrolling if both strides are equal to `1`...
if ( strideX === 1 && strideY === 1 ) {
m = N % M;
// If we have a remainder, run a clean-up loop...
if ( m > 0 ) {
for ( i = 0; i < m; i++ ) {
yr = yview[ iy ];
yi = yview[ iy+1 ];
muladd( are, aim, xview[ ix ], xview[ ix+1 ], f32( f32( bre*yr ) - f32( bim*yi ) ), f32( f32( bre*yi ) + f32( bim*yr ) ), yview, 1, iy );
ix += sx;
iy += sy;
}
}
if ( N < M ) {
return y;
}
for ( i = m; i < N; i += M ) {
yr = yview[ iy ];
yi = yview[ iy+1 ];
muladd( are, aim, xview[ ix ], xview[ ix+1 ], f32( f32( bre*yr ) - f32( bim*yi ) ), f32( f32( bre*yi ) + f32( bim*yr ) ), yview, 1, iy );
yr = yview[ iy+2 ];
yi = yview[ iy+3 ];
muladd( are, aim, xview[ ix+2 ], xview[ ix+3 ], f32( f32( bre*yr ) - f32( bim*yi ) ), f32( f32( bre*yi ) + f32( bim*yr ) ), yview, 1, iy+2 );
yr = yview[ iy+4 ];
yi = yview[ iy+5 ];
muladd( are, aim, xview[ ix+4 ], xview[ ix+5 ], f32( f32( bre*yr ) - f32( bim*yi ) ), f32( f32( bre*yi ) + f32( bim*yr ) ), yview, 1, iy+4 );
yr = yview[ iy+6 ];
yi = yview[ iy+7 ];
muladd( are, aim, xview[ ix+6 ], xview[ ix+7 ], f32( f32( bre*yr ) - f32( bim*yi ) ), f32( f32( bre*yi ) + f32( bim*yr ) ), yview, 1, iy+6 );
yr = yview[ iy+8 ];
yi = yview[ iy+9 ];
muladd( are, aim, xview[ ix+8 ], xview[ ix+9 ], f32( f32( bre*yr ) - f32( bim*yi ) ), f32( f32( bre*yi ) + f32( bim*yr ) ), yview, 1, iy+8 );
ix += M * 2;
iy += M * 2;
}
return y;
}
for ( i = 0; i < N; i++ ) {
yr = yview[ iy ];
yi = yview[ iy+1 ];
muladd( are, aim, xview[ ix ], xview[ ix+1 ], f32( f32( bre*yr ) - f32( bim*yi ) ), f32( f32( bre*yi ) + f32( bim*yr ) ), yview, 1, iy );
ix += sx;
iy += sy;
}
return y;
}
// EXPORTS //
module.exports = caxpby;
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