Press n or j to go to the next uncovered block, b, p or k for the previous block.
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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 abs = require( '@stdlib/math/base/special/abs' );
var PINF = require( '@stdlib/constants/float64/pinf' );
// MAIN //
/**
* Evaluates the exponential function when \\( y = \pm \infty\\).
*
* @private
* @param {number} x - base
* @param {number} y - exponent
* @returns {number} function value
*
* @example
* var v = pow( -1.0, Infinity );
* // returns NaN
*
* @example
* var v = pow( -1.0, -Infinity );
* // returns NaN
*
* @example
* var v = pow( 1.0, Infinity );
* // returns 1.0
*
* @example
* var v = pow( 1.0, -Infinity );
* // returns 1.0
*
* @example
* var v = pow( 0.5, Infinity );
* // returns 0.0
*
* @example
* var v = pow( 0.5, -Infinity );
* // returns Infinity
*
* @example
* var v = pow( 1.5, -Infinity );
* // returns 0.0
*
* @example
* var v = pow( 1.5, Infinity );
* // returns Infinity
*/
function pow( x, y ) {
if ( x === -1.0 ) {
// Julia (0.4.2) and Python (2.7.9) return `1.0` (WTF???). JavaScript (`Math.pow`), R, and libm return `NaN`. We choose `NaN`, as the value is indeterminate; i.e., we cannot determine whether `y` is odd, even, or somewhere in between.
return (x-x)/(x-x); // signal NaN
}
if ( x === 1.0 ) {
return 1.0;
}
// (|x| > 1 && y === NINF) || (|x| < 1 && y === PINF)
if ( (abs(x) < 1.0) === (y === PINF) ) {
return 0.0;
}
// (|x| > 1 && y === PINF) || (|x| < 1 && y === NINF)
return PINF;
}
// EXPORTS //
module.exports = pow;
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