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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-complex64' );
var realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
var powf = require( '@stdlib/math/base/special/powf' );
var lnf = require( '@stdlib/math/base/special/lnf' );
var cosf = require( '@stdlib/math/base/special/cosf' );
var sinf = require( '@stdlib/math/base/special/sinf' );
// MAIN //
/**
* Fills a single-precision complex floating-point strided array with logarithmically spaced values over a specified interval using alternative indexing semantics.
*
* @param {PositiveInteger} N - number of indexed elements
* @param {number} base - base of the logarithmic scale
* @param {Complex64} start - exponent of the starting value
* @param {Complex64} stop - exponent of the final value
* @param {boolean} endpoint - boolean indicating whether to include the `base^stop` value when writing values to the input array
* @param {Complex64Array} x - input array
* @param {integer} strideX - stride length
* @param {NonNegativeInteger} offsetX - starting index
* @returns {Complex64Array} input array
*
* @example
* var Complex64Array = require( '@stdlib/array/complex64' );
* var Complex64 = require( '@stdlib/complex/float32/ctor' );
*
* var x = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
*
* var strt = new Complex64( 0.0, 0.0 );
* var stp = new Complex64( 2.0, 0.0 );
*
* clogspace( x.length, 10.0, strt, stp, true, x, 1, 0 );
* // x => <Complex64Array>[ 1.0, 0.0, 10.0, 0.0, 100.0, 0.0 ]
*
* @example
* var Complex64Array = require( '@stdlib/array/complex64' );
* var Complex64 = require( '@stdlib/complex/float32/ctor' );
*
* var x = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0 ] );
*
* var strt = new Complex64( 0.0, 0.0 );
* var stp = new Complex64( 2.0, 0.0 );
*
* clogspace( x.length, 10.0, strt, stp, false, x, 1, 0 );
* // x => <Complex64Array>[ 1.0, 0.0, 10.0, 0.0 ]
*/
function clogspace( N, base, start, stop, endpoint, x, strideX, offsetX ) {
var startRe;
var startIm;
var stopRe;
var stopIm;
var expRe;
var expIm;
var scale;
var view;
var lnb;
var dre;
var dim;
var ix;
var i;
if ( N <= 0 ) {
return x;
}
// Decompose the exponent bounds into their real and imaginary components:
startRe = realf( start );
startIm = imagf( start );
stopRe = realf( stop );
stopIm = imagf( stop );
// Compute ln(base) for use in base^z = exp(z * ln(base)):
lnb = lnf( base );
// Reinterpret the complex input array as a real-valued array:
view = reinterpret( x, 0 );
// Adjust the offset according to the real-valued array (2 floats per element):
ix = offsetX * 2;
// Set the first value:
if ( N === 1 ) {
if ( endpoint ) {
scale = powf( base, stopRe );
view[ ix ] = scale * cosf( stopIm * lnb );
view[ ix+1 ] = scale * sinf( stopIm * lnb );
} else {
scale = powf( base, startRe );
view[ ix ] = scale * cosf( startIm * lnb );
view[ ix+1 ] = scale * sinf( startIm * lnb );
}
return x;
}
scale = powf( base, startRe );
view[ ix ] = scale * cosf( startIm * lnb );
view[ ix+1 ] = scale * sinf( startIm * lnb );
ix += strideX * 2;
// Calculate the complex increment:
if ( endpoint ) {
N -= 1;
}
dre = ( stopRe - startRe ) / N;
dim = ( stopIm - startIm ) / N;
// Generate logarithmically spaced values:
for ( i = 1; i < N; i++ ) {
expRe = startRe + ( dre * i );
expIm = startIm + ( dim * i );
scale = powf( base, expRe );
view[ ix ] = scale * cosf( expIm * lnb );
view[ ix+1 ] = scale * sinf( expIm * lnb );
ix += strideX * 2;
}
// Check whether to include the `base^stop` value:
if ( endpoint ) {
scale = powf( base, stopRe );
view[ ix ] = scale * cosf( stopIm * lnb );
view[ ix+1 ] = scale * sinf( stopIm * lnb );
}
return x;
}
// EXPORTS //
module.exports = clogspace;
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