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* @license Apache-2.0
*
* Copyright (c) 2018 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 isnan = require( '@stdlib/math/base/assert/is-nan' );
// MAIN //
/**
* Evaluates the Heaviside function.
*
* @param {number} x - input value
* @param {string} [continuity] - continuity option
* @returns {number} function value
*
* @example
* var v = heaviside( 3.14 );
* // returns 1.0
*
* @example
* var v = heaviside( -3.14 );
* // returns 0.0
*
* @example
* var v = heaviside( 0.0 );
* // returns NaN
*
* @example
* var v = heaviside( 0.0, 'half-maximum' );
* // returns 0.5
*
* @example
* var v = heaviside( 0.0, 'left-continuous' );
* // returns 0.0
*
* @example
* var v = heaviside( 0.0, 'right-continuous' );
* // returns 1.0
*
* @example
* var v = heaviside( NaN );
* // returns NaN
*/
function heaviside( x, continuity ) {
if ( isnan( x ) ) {
return NaN;
}
if ( x > 0.0 ) {
return 1.0;
}
// Handle `+-0`...
if ( x === 0.0 ) {
if ( continuity === 'half-maximum' ) {
return 0.5;
}
if ( continuity === 'left-continuous' ) {
return 0.0;
}
if ( continuity === 'right-continuous' ) {
return 1.0;
}
// Default behavior is discontinuity...
return NaN;
}
return 0.0;
}
// EXPORTS //
module.exports = heaviside;
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