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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 ln = require( '@stdlib/math/base/special/ln' );
var erf = require( '@stdlib/math/base/special/erf' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var SQRT2 = require( '@stdlib/constants/float64/sqrt-two' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
// VARIABLES //
var INV_SQRT_TWO = 1 / SQRT2; // 1/sqrt(2)
// MAIN //
/**
* Evaluate the natural logarithm of the CDF for a half-normal distribution with scale parameter `sigma` at a value `x`.
*
* @param {number} x - input value
* @param {PositiveNumber} sigma - scale parameter
* @returns {number} logarithm of cumulative distribution function
*
* @example
* var y = logcdf( 1.0, 1.0 );
* // returns ~-0.382
*
* @example
* var y = logcdf( -1.0, 1.0 );
* // returns -Infinity
*/
function logcdf( x, sigma ) {
if (
isnan( x ) ||
isnan( sigma ) ||
sigma <= 0.0
) {
return NaN;
}
if ( x < 0.0 ) {
return NINF;
}
return ln( erf( ( x / sigma ) * INV_SQRT_TWO ) );
}
// EXPORTS //
module.exports = logcdf;
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