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index.d.ts
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index.d.ts
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/*
* @license Apache-2.0
*
* Copyright (c) 2019 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.
*/
// TypeScript Version: 2.0
/**
* Evaluates the cumulative distribution function (CDF) for a triangular distribution.
*
* @param x - input value
* @returns evaluated CDF
*/
type Unary = ( x: number ) => number;
/**
* Interface for the cumulative distribution function (CDF) of a triangular distribution.
*/
interface CDF {
/**
* Evaluates the cumulative distribution function (CDF) for a triangular distribution with lower limit `a` and upper limit `b` and mode `c` at a value `x`.
*
* ## Notes
*
* - If the condition `a <= c <= b` is not satisfied, the function returns `NaN`.
*
* @param x - input value
* @param a - lower limit
* @param b - upper limit
* @param c - mode
* @returns evaluated CDF
*
* @example
* var y = cdf( 0.5, -1.0, 1.0, 0.0 );
* // returns 0.875
*
* @example
* var y = cdf( 0.5, -1.0, 1.0, 0.5 );
* // returns 0.75
*
* @example
* var y = cdf( -10.0, -20.0, 0.0, -2.0 );
* // returns ~0.278
*
* @example
* var y = cdf( -2.0, -1.0, 1.0, 0.0 );
* // returns 0.0
*
* @example
* var y = cdf( NaN, 0.0, 1.0, 0.5 );
* // returns NaN
*
* @example
* var y = cdf( 0.0, NaN, 1.0, 0.5 );
* // returns NaN
*
* @example
* var y = cdf( 0.0, 0.0, NaN, 0.5 );
* // returns NaN
*
* @example
* var y = cdf( 2.0, 1.0, 0.0, NaN );
* // returns NaN
*
* @example
* var y = cdf( 2.0, 1.0, 0.0, 1.5 );
* // returns NaN
*/
( x: number, a: number, b: number, c: number ): number;
/**
* Returns a function for evaluating the cumulative distribution function (CDF) for a triangular distribution with lower limit `a` and upper limit `b` and mode `c`.
*
* @param a - lower limit
* @param b - upper limit
* @param c - mode
* @returns CDF
*
* @example
* var mycdf = cdf.factory( 0.0, 10.0, 2.0 );
* var y = mycdf( 0.5 );
* // returns 0.0125
*
* y = mycdf( 8.0 );
* // returns 0.95
*/
factory( a: number, b: number, c: number ): Unary;
}
/**
* Triangular distribution cumulative distribution function (CDF).
*
* @param x - input value
* @param a - lower limit
* @param b - upper limit
* @param c - mode
* @returns evaluated CDF
*
* @example
* var y = cdf( 0.5, -1.0, 1.0, 0.0 );
* // returns 0.875
*
* y = cdf( 0.5, -1.0, 1.0, 0.5 );
* // returns 0.75
*
* y = cdf( -10.0, -20.0, 0.0, -2.0 );
* // returns ~0.278
*
* y = cdf( -2.0, -1.0, 1.0, 0.0 );
* // returns 0.0
*
* var mycdf = cdf.factory( 0.0, 10.0, 2.0 );
* y = mycdf( 0.5 );
* // returns 0.0125
*
* y = mycdf( 8.0 );
* // returns 0.95
*/
declare var cdf: CDF;
// EXPORTS //
export = cdf;