All files / base/zwax/lib ndarray.js

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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.
*/
 
'use strict';
 
// MODULES //
 
var reinterpret = require( '@stdlib/strided/base/reinterpret-complex128' );
var real = require( '@stdlib/complex/float64/real' );
var imag = require( '@stdlib/complex/float64/imag' );
var zcopy = require( '@stdlib/blas/base/zcopy' ).ndarray;
var cmul = require( '@stdlib/complex/float64/base/mul' ).assign;
 
 
// VARIABLES //
 
var M = 5;
 
 
// MAIN //
 
/**
* Multiplies each element in a double-precision complex floating-point strided array `x` by a scalar constant and assigns the results to elements in a double-precision complex floating-point strided array `w` using alternative indexing semantics.
*
* @param {PositiveInteger} N - number of indexed elements
* @param {Complex128} alpha - scalar constant
* @param {Complex128Array} x - input array
* @param {integer} strideX - `x` stride length
* @param {NonNegativeInteger} offsetX - starting `x` index
* @param {Complex128Array} w - output array
* @param {integer} strideW - `w` stride length
* @param {NonNegativeInteger} offsetW - starting `w` index
* @returns {Complex128Array} output array
*
* @example
* var Complex128Array = require( '@stdlib/array/complex128' );
* var Complex128 = require( '@stdlib/complex/float64/ctor' );
*
* var x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
* var w = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
* var alpha = new Complex128( 5.0, 3.0 );
*
* zwax( x.length, alpha, x, 1, 0, w, 1, 0 );
* // w => <Complex128Array>[ -1.0, 13.0, 3.0, 29.0, 7.0, 45.0 ]
*/
function zwax( N, alpha, x, strideX, offsetX, w, strideW, offsetW ) {
	var xview;
	var wview;
	var are;
	var aim;
	var ix;
	var iw;
	var sx;
	var sw;
	var m;
	var i;

	if ( N <= 0 ) {
		return w;
	}

	// Decompose the constant into its real and imaginary components:
	are = real( alpha );
	aim = imag( alpha );

	// Fast path: when alpha = 1+0i, delegate to zcopy (w = x)
	if ( are === 1.0 && aim === 0.0 ) {
		return zcopy( N, x, strideX, offsetX, w, strideW, offsetW );
	}

	// Reinterpret the complex input arrays as real-valued arrays:
	xview = reinterpret( x, 0 );
	wview = reinterpret( w, 0 );

	// Adjust the strides and offsets according to the real-valued arrays:
	ix = offsetX * 2;
	iw = offsetW * 2;
	sx = strideX * 2;
	sw = strideW * 2;

	// Use loop unrolling if both strides are equal to `1`...
	if ( strideX === 1 && strideW === 1 ) {
		m = N % M;

		// If we have a remainder, run a clean-up loop...
		if ( m > 0 ) {
			for ( i = 0; i < m; i++ ) {
				cmul( are, aim, xview[ ix ], xview[ ix+1 ], wview, 1, iw );
				ix += sx;
				iw += sw;
			}
		}
		if ( N < M ) {
			return w;
		}
		for ( i = m; i < N; i += M ) {
			cmul( are, aim, xview[ ix ], xview[ ix+1 ], wview, 1, iw );
			cmul( are, aim, xview[ ix+2 ], xview[ ix+3 ], wview, 1, iw+2 );
			cmul( are, aim, xview[ ix+4 ], xview[ ix+5 ], wview, 1, iw+4 );
			cmul( are, aim, xview[ ix+6 ], xview[ ix+7 ], wview, 1, iw+6 );
			cmul( are, aim, xview[ ix+8 ], xview[ ix+9 ], wview, 1, iw+8 );
			ix += M * 2;
			iw += M * 2;
		}
		return w;
	}
	for ( i = 0; i < N; i++ ) {
		cmul( are, aim, xview[ ix ], xview[ ix+1 ], wview, 1, iw );
		ix += sx;
		iw += sw;
	}
	return w;
}
 
 
// EXPORTS //
 
module.exports = zwax;