+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| File | ++ | Statements | ++ | Branches | ++ | Functions | ++ | Lines | ++ |
|---|---|---|---|---|---|---|---|---|---|
| index.js | +
+
+ |
+ 100% | +55/55 | +100% | +1/1 | +100% | +0/0 | +100% | +55/55 | +
| main.js | +
+
+ |
+ 100% | +73/73 | +100% | +1/1 | +100% | +0/0 | +100% | +73/73 | +
| native.js | +
+
+ |
+ 100% | +66/66 | +100% | +2/2 | +100% | +1/1 | +100% | +66/66 | +
| rational_pq.js | +
+
+ |
+ 95.31% | +61/64 | +66.66% | +4/6 | +100% | +1/1 | +95.31% | +61/64 | +
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x + | /** +* @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'; + +/** +* Calculate the Lanczos sum for the approximation of the gamma function. +* +* @module @stdlib/math/base/special/gamma-lanczos-sum +* +* @example +* var gammaLanczosSum = require( '@stdlib/math/base/special/gamma-lanczos-sum' ); +* +* var v = gammaLanczosSum( 4.0 ); +* // returns ~950.366 +* +* v = gammaLanczosSum( -1.5 ); +* // returns ~1373366.245 +* +* v = gammaLanczosSum( -0.5 ); +* // returns ~-699841.735 +* +* v = gammaLanczosSum( 0.5 ); +* // returns ~96074.186 +* +* v = gammaLanczosSum( 0.0 ); +* // returns Infinity +* +* v = gammaLanczosSum( NaN ); +* // returns NaN +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; + |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 +68 +69 +70 +71 +72 +73 +74 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x + | /**
+* @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.
+*
+*
+* ## Notice
+*
+* The original C++ code and copyright notice are from the [Boost library]{@link http://www.boost.org/doc/libs/1_64_0/boost/math/special_functions/lanczos.hpp}. The implementation has been modified for JavaScript.
+*
+* ```text
+* Copyright John Maddock 2006.
+*
+* Use, modification and distribution are subject to the
+* Boost Software License, Version 1.0. (See accompanying file
+* LICENSE or copy at http://www.boost.org/LICENSE_1_0.txt)
+* ```
+*/
+
+'use strict';
+
+// MAIN //
+
+/**
+* Calculates the Lanczos sum approximation.
+*
+* @name gammaLanczosSum
+* @type {Function}
+* @param {number} x - input value
+* @returns {number} Lanczos sum approximation
+*
+* @example
+* var v = gammaLanczosSum( 4.0 );
+* // returns ~950.366
+*
+* @example
+* var v = gammaLanczosSum( -1.5 );
+* // returns ~1373366.245
+*
+* @example
+* var v = gammaLanczosSum( -0.5 );
+* // returns ~-699841.735
+*
+* @example
+* var v = gammaLanczosSum( 0.5 );
+* // returns ~96074.186
+*
+* @example
+* var v = gammaLanczosSum( 0.0 );
+* // returns Infinity
+*
+* @example
+* var v = gammaLanczosSum( NaN );
+* // returns NaN
+*/
+var gammaLanczosSum = require( './rational_pq.js' );
+
+
+// EXPORTS //
+
+module.exports = gammaLanczosSum;
+ |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +501x +501x +501x +1x +1x +1x +1x +1x + | /**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Calculates the Lanczos sum for the approximation of the gamma function.
+*
+* @private
+* @param {number} x - input value
+* @returns {number} Lanczos sum approximation
+*
+* @example
+* var v = gammaLanczosSum( 4.0 );
+* // returns ~950.366
+*
+* @example
+* var v = gammaLanczosSum( -1.5 );
+* // returns ~1373366.245
+*
+* @example
+* var v = gammaLanczosSum( -0.5 );
+* // returns ~-699841.735
+*
+* @example
+* var v = gammaLanczosSum( 0.5 );
+* // returns ~96074.186
+*
+* @example
+* var v = gammaLanczosSum( 0.0 );
+* // returns Infinity
+*
+* @example
+* var v = gammaLanczosSum( NaN );
+* // returns NaN
+*/
+function gammaLanczosSum( x ) {
+ return addon( x );
+}
+
+
+// EXPORTS //
+
+module.exports = gammaLanczosSum;
+ |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +| 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +501x +501x +501x +501x +501x + + +501x + +501x +501x +501x +501x +1x +1x +501x +500x +500x +500x +500x +501x +501x +1x +1x +1x +1x +1x + | /**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MAIN //
+
+/**
+* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)).
+*
+* ## Notes
+*
+* - Coefficients should be sorted in ascending degree.
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the rational function
+* @returns {number} evaluated rational function
+*/
+function evalrational( x ) {
+ var ax;
+ var s1;
+ var s2;
+ if ( x === 0.0 ) {
+ return Infinity;
+ }
+ if ( x < 0.0 ) {
+ ax = -x;
+ } else {
+ ax = x;
+ }
+ if ( ax <= 1.0 ) {
+ s1 = 38474670393.31777 + (x * (36857665043.51951 + (x * (15889202453.72942 + (x * (4059208354.298835 + (x * (680547661.1834733 + (x * (78239755.00312005 + (x * (6246580.776401795 + (x * (341986.3488721347 + (x * (12287.194511824551 + (x * (261.61404416416684 + (x * 2.5066282746310007))))))))))))))))))); // eslint-disable-line max-len
+ s2 = 0.0 + (x * (362880.0 + (x * (1026576.0 + (x * (1172700.0 + (x * (723680.0 + (x * (269325.0 + (x * (63273.0 + (x * (9450.0 + (x * (870.0 + (x * (45.0 + (x * 1.0))))))))))))))))))); // eslint-disable-line max-len
+ } else {
+ x = 1.0 / x;
+ s1 = 2.5066282746310007 + (x * (261.61404416416684 + (x * (12287.194511824551 + (x * (341986.3488721347 + (x * (6246580.776401795 + (x * (78239755.00312005 + (x * (680547661.1834733 + (x * (4059208354.298835 + (x * (15889202453.72942 + (x * (36857665043.51951 + (x * 38474670393.31777))))))))))))))))))); // eslint-disable-line max-len
+ s2 = 1.0 + (x * (45.0 + (x * (870.0 + (x * (9450.0 + (x * (63273.0 + (x * (269325.0 + (x * (723680.0 + (x * (1172700.0 + (x * (1026576.0 + (x * (362880.0 + (x * 0.0))))))))))))))))))); // eslint-disable-line max-len
+ }
+ return s1 / s2;
+}
+
+
+// EXPORTS //
+
+module.exports = evalrational;
+ |