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* @license Apache-2.0
*
* Copyright (c) 2022 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 Complex64 = require( '@stdlib/complex/float32/ctor' );
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var real = require( '@stdlib/complex/float64/real' );
var imag = require( '@stdlib/complex/float64/imag' );
var realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
// MAIN //
/**
* Generates a linearly spaced complex number array over a specified interval.
*
* @private
* @param {string} dt1 - start value data type
* @param {(number|ComplexLike)} start - start of interval
* @param {string} dt2 - stop value data type
* @param {(number|ComplexLike)} stop - end of interval
* @param {NonNegativeInteger} len - length of output array
* @param {boolean} endpoint - boolean indicating whether to include `stop` in the output array
* @returns {Array} linearly spaced array
*/
function linspace( dt1, start, dt2, stop, len, endpoint ) {
var cmplx;
var isf32;
var arr;
var re1;
var re2;
var im1;
var im2;
var re;
var im;
var dr;
var di;
var N;
var i;
if ( len === 0 ) {
return [];
}
isf32 = 0;
if ( dt1 === 'float64' ) {
re1 = start;
im1 = 0.0;
} else if ( dt1 === 'complex64' ) {
isf32 += 1;
re1 = realf( start );
im1 = imagf( start );
} else {
re1 = real( start );
im1 = imag( start );
}
if ( dt2 === 'float64' ) {
re2 = stop;
im2 = 0.0;
} else if ( dt2 === 'complex64' ) {
isf32 += 1;
re2 = realf( stop );
im2 = imagf( stop );
} else {
re2 = real( stop );
im2 = imag( stop );
}
// Determine which complex number constructor to use according to type promotion rules:
if ( isf32 === 2 ) {
cmplx = Complex64;
} else {
cmplx = Complex128;
}
// Set the first value:
if ( len === 1 ) {
if ( endpoint ) {
return [ new cmplx( re2, im2 ) ];
}
return [ new cmplx( re1, im1 ) ];
}
arr = [ new cmplx( re1, im1 ) ];
// Calculate the increments:
if ( endpoint ) {
N = len - 1;
} else {
N = len;
}
dr = ( re2-re1 ) / N;
di = ( im2-im1 ) / N;
// Generate linearly spaced values:
for ( i = 1; i < N; i++ ) {
re = re1 + (dr*i);
im = im1 + (di*i);
arr.push( new cmplx( re, im ) );
}
// Check whether to include the `stop` value in the output array:
if ( endpoint ) {
arr.push( new cmplx( re2, im2 ) );
}
return arr;
}
// EXPORTS //
module.exports = linspace;
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