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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 constantFunction = require( '@stdlib/utils/constant-function' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var ln = require( '@stdlib/math/base/special/ln' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var LN2 = require( '@stdlib/constants/float64/ln-two' );
var LNPI = require( '@stdlib/constants/float64/ln-pi' );
// VARIABLES //
// Constant: log(sqrt(2/pi)) = 0.5 * log(2/pi) = 0.5 * (ln(2) - ln(pi))
var C = 0.5 * ( LN2 - LNPI );
// MAIN //
/**
* Returns a function for evaluating the logarithm of the probability density function (PDF) for a half-normal distribution with scale parameter `sigma`.
*
* @param {PositiveNumber} sigma - scale parameter
* @returns {Function} logPDF
*
* @example
* var logpdf = factory( 1.0 );
* var y = logpdf( 0.8 );
* // returns ~-0.546
*/
function factory( sigma ) {
var lsigma;
var sigma2;
if (
isnan( sigma ) ||
sigma <= 0.0
) {
return constantFunction( NaN );
}
lsigma = ln( sigma );
sigma2 = sigma * sigma;
return logpdf;
/**
* Evaluates the natural logarithm of the probability density function (PDF) for a half-normal distribution.
*
* @private
* @param {number} x - input value
* @returns {number} evaluated logPDF
*
* @example
* var y = logpdf( 2.3 );
* // returns <number>
*/
function logpdf( x ) {
if ( isnan( x ) ) {
return NaN;
}
if ( x < 0.0 ) {
return NINF;
}
return C - lsigma - ( (x*x) / ( 2.0 * sigma2 ) );
}
}
// EXPORTS //
module.exports = factory;
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