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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 zapx = require( '@stdlib/blas/ext/base/zapx' ).ndarray;
var zscal = require( '@stdlib/blas/base/zscal' ).ndarray;
var muladd = require( '@stdlib/complex/float64/base/mul-add' ).assign;
// VARIABLES //
var M = 5;
// MAIN //
/**
* Multiplies each element in a double-precision complex floating-point strided array by a scalar constant and adds a scalar constant to each result.
*
* @param {PositiveInteger} N - number of indexed elements
* @param {Complex128} alpha - first scalar constant
* @param {Complex128} beta - second scalar constant
* @param {Complex128Array} x - input array
* @param {integer} strideX - stride length
* @param {NonNegativeInteger} offsetX - starting index
* @returns {Complex128Array} input 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 alpha = new Complex128( 2.0, 0.0 );
* var beta = new Complex128( 1.0, 0.0 );
*
* zaxpb( 3, alpha, beta, x, 1, 0 );
* // x => <Complex128Array>[ 3.0, -4.0, 7.0, -8.0, 11.0, -12.0 ]
*/
function zaxpb( N, alpha, beta, x, strideX, offsetX ) {
var view;
var are;
var aim;
var bre;
var bim;
var ix;
var sx;
var m;
var i;
if ( N <= 0 ) {
return x;
}
// Decompose the constants into their real and imaginary components:
are = real( alpha );
aim = imag( alpha );
bre = real( beta );
bim = imag( beta );
// Fast path: when alpha = 1+0i, delegate to zapx (x = x + beta)
if ( are === 1.0 && aim === 0.0 ) {
return zapx( N, beta, x, strideX, offsetX );
}
// Fast path: when beta = 0+0i, delegate to zscal (x = alpha * x)
if ( bre === 0.0 && bim === 0.0 ) {
return zscal( N, alpha, x, strideX, offsetX );
}
// Reinterpret the complex input array as a real-valued array:
view = reinterpret( x, 0 );
// Adjust the stride and offset according to the real-valued array:
ix = offsetX * 2;
sx = strideX * 2;
// Use loop unrolling if the stride is equal to `1`...
if ( strideX === 1 ) {
m = N % M;
// If we have a remainder, run a clean-up loop...
if ( m > 0 ) {
for ( i = 0; i < m; i++ ) {
muladd( are, aim, view[ ix ], view[ ix+1 ], bre, bim, view, 1, ix );
ix += sx;
}
}
if ( N < M ) {
return x;
}
for ( i = m; i < N; i += M ) {
muladd( are, aim, view[ ix ], view[ ix+1 ], bre, bim, view, 1, ix );
muladd( are, aim, view[ ix+2 ], view[ ix+3 ], bre, bim, view, 1, ix+2 );
muladd( are, aim, view[ ix+4 ], view[ ix+5 ], bre, bim, view, 1, ix+4 );
muladd( are, aim, view[ ix+6 ], view[ ix+7 ], bre, bim, view, 1, ix+6 );
muladd( are, aim, view[ ix+8 ], view[ ix+9 ], bre, bim, view, 1, ix+8 );
ix += M * 2;
}
return x;
}
for ( i = 0; i < N; i++ ) {
muladd( are, aim, view[ ix ], view[ ix+1 ], bre, bim, view, 1, ix );
ix += sx;
}
return x;
}
// EXPORTS //
module.exports = zaxpb;
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