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7 Commits

Author SHA1 Message Date
9f2a11ec29 modified first kind (I) handle negative argument 2024-09-19 13:27:23 -04:00
2e23313298 License text 2019-10-08 02:14:17 -04:00
373fc31e08 fixed travis config 2017-07-27 14:55:13 -04:00
616aabfb42 version bump 1.0.2: pin devDependencies 2017-07-27 14:22:02 -04:00
1c7de2c8f7 updated npm package 2017-01-05 16:36:45 -05:00
64765e5e98 version bump 1.0.0
- shifted from MIT to Apache 2.0 License
- updated travis versions and cleaned up build infrastructure
2017-01-05 15:04:15 -05:00
75ae1499db added browser test 2016-10-13 13:43:49 -04:00
19 changed files with 7259 additions and 24 deletions

@ -2,13 +2,15 @@
.*/node_modules/.*
.*/dist/.*
.*/test.js
.*/bessel.js
.*/bits/.*
.*/ctest/.*
.*/misc/.*
.*/perf/.*
.*/bessel.js
.*/demo/browser.js
.*/shim.js
[include]
bessel.flow.js

1
.gitignore vendored

@ -1,2 +1,3 @@
node_modules
misc/coverage.html
ctest/sauce*

@ -1,14 +1,16 @@
language: node_js
node_js:
- "8"
- "7"
- "6"
- "5"
- "4.2"
- "4"
- "0.12"
- "0.10"
- "0.8"
before_install:
- "npm install -g npm@next"
- "npm install -g mocha voc"
- "npm install -g npm@4.3.0"
- "npm install -g mocha@2.x voc"
- "npm install blanket"
- "npm install coveralls mocha-lcov-reporter"
after_success:

202
LICENSE

@ -1,9 +1,201 @@
Copyright (C) 2013 SheetJS
Apache License
Version 2.0, January 2004
http://www.apache.org/licenses/
The MIT License (MIT)
TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
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END OF TERMS AND CONDITIONS
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To apply the Apache License to your work, attach the following
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See the License for the specific language governing permissions and
limitations under the License.

@ -33,6 +33,17 @@ clean: ## Remove targets and build artifacts
test mocha: test.js $(TARGET) ## Run test suite
mocha -R spec -t 20000
.PHONY: ctest
ctest: ## Build browser test (into ctest/ subdirectory)
cp -f test.js ctest/test.js
cp -f shim.js ctest/shim.js
cp -f $(TARGET) ctest/
.PHONY: ctestserv
ctestserv: ## Start a test server on port 8000
@cd ctest && python -mSimpleHTTPServer
## Code Checking
.PHONY: lint

@ -47,14 +47,14 @@ The return value is a JS number. `NaN` signals an error in calculation.
For example:
```js
> // var BESSEL = require('bessel'); // uncomment this line if in node
> BESSEL.besselj(1.5,0) // 0.5118276712499389
> BESSEL.bessely(1.5,0) // 0.38244892476502895
> BESSEL.besseli(1.5,0) // 1.6467232021476754
> BESSEL.besselk(1.5,0) // 0.2138055693236539
// var BESSEL = require('bessel'); // uncomment this line if in node
BESSEL.besselj(1.5,0) // 0.5118276712499389
BESSEL.bessely(1.5,0) // 0.38244892476502895
BESSEL.besseli(1.5,0) // 1.6467232021476754
BESSEL.besselk(1.5,0) // 0.2138055693236539
> var Y = BESSEL.bessely
> Y(Math.PI, 5) + Y(Math.PI, 3) - (2 * 4 / Math.PI) * Y(Math.PI, 4) // 0
var Y = BESSEL.bessely
Y(Math.PI, 5) + Y(Math.PI, 3) - (2 * 4 / Math.PI) * Y(Math.PI, 4) // 0
```
## Testing
@ -81,12 +81,20 @@ like Mathematica reverse the argument order.
## License
Please consult the attached LICENSE file for details. All rights not explicitly
granted by the MIT License are reserved by the Original Author.
granted by the Apache 2.0 License are reserved by the Original Author.
## Badges
[![Build Status](https://saucelabs.com/browser-matrix/bessel.svg)](https://saucelabs.com/u/bessel)
[![Build Status](https://travis-ci.org/SheetJS/bessel.svg?branch=master)](https://travis-ci.org/SheetJS/bessel)
[![Coverage Status](http://img.shields.io/coveralls/SheetJS/bessel/master.svg)](https://coveralls.io/r/SheetJS/bessel?branch=master)
[![NPM Downloads](https://img.shields.io/npm/dt/bessel.svg)](https://npmjs.org/package/bessel)
[![Dependencies Status](https://david-dm.org/sheetjs/bessel/status.svg)](https://david-dm.org/sheetjs/bessel)
[![ghit.me](https://ghit.me/badge.svg?repo=sheetjs/bessel)](https://ghit.me/repo/sheetjs/bessel)
[![Analytics](https://ga-beacon.appspot.com/UA-36810333-1/SheetJS/bessel?pixel)](https://github.com/SheetJS/bessel)

@ -23,7 +23,7 @@ var BESSEL;
}
/*jshint ignore:end */
}(function(BESSEL) {
BESSEL.version = '0.3.0';
BESSEL.version = '1.0.2';
var M = Math;
/*::

@ -21,7 +21,7 @@ var BESSEL;
}
/*jshint ignore:end */
}(function(BESSEL) {
BESSEL.version = '0.3.0';
BESSEL.version = '1.0.2';
var M = Math;
function _horner(arr, v) { for(var i = 0, z = 0; i < arr.length; ++i) z = v * z + arr[i]; return z; }

@ -1 +1 @@
BESSEL.version = '0.3.0';
BESSEL.version = '1.0.2';

@ -17,6 +17,7 @@ var besseli/*:BesselF*/ = (function() {
return function besseli(x/*:number*/, n/*:number*/)/*:number*/ {
n = Math.round(n);
if(x < 0) return ((n%2)?-1:1)*besseli(-x, n);
if(n === 0) return bessel0(x);
if(n === 1) return bessel1(x);
if(n < 0) return NaN;

246
ctest/bessel.js Normal file

@ -0,0 +1,246 @@
/* bessel.js (C) 2013-present SheetJS -- http://sheetjs.com */
/* vim: set ts=2: */
/*exported BESSEL */
var BESSEL;
(function (factory) {
/*jshint ignore:start */
if(typeof DO_NOT_EXPORT_BESSEL === 'undefined') {
if('object' === typeof exports) {
factory(exports);
} else if ('function' === typeof define && define.amd) {
define(function () {
var module = {};
factory(module);
return module;
});
} else {
factory(BESSEL = {});
}
} else {
factory(BESSEL = {});
}
/*jshint ignore:end */
}(function(BESSEL) {
BESSEL.version = '1.0.2';
var M = Math;
function _horner(arr, v) { for(var i = 0, z = 0; i < arr.length; ++i) z = v * z + arr[i]; return z; }
function _bessel_iter(x, n, f0, f1, sign) {
if(n === 0) return f0;
if(n === 1) return f1;
var tdx = 2 / x, f2 = f1;
for(var o = 1; o < n; ++o) {
f2 = f1 * o * tdx + sign * f0;
f0 = f1; f1 = f2;
}
return f2;
}
function _bessel_wrap(bessel0, bessel1, name, nonzero, sign) {
return function bessel(x,n) {
if(nonzero) {
if(x === 0) return (nonzero == 1 ? -Infinity : Infinity);
else if(x < 0) return NaN;
}
if(n === 0) return bessel0(x);
if(n === 1) return bessel1(x);
if(n < 0) return NaN;
n|=0;
var b0 = bessel0(x), b1 = bessel1(x);
return _bessel_iter(x, n, b0, b1, sign);
};
}
var besselj = (function() {
var W = 0.636619772; // 2 / Math.PI
var b0_a1a = [57568490574.0, -13362590354.0, 651619640.7, -11214424.18, 77392.33017, -184.9052456].reverse();
var b0_a2a = [57568490411.0, 1029532985.0, 9494680.718, 59272.64853, 267.8532712, 1.0].reverse();
var b0_a1b = [1.0, -0.1098628627e-2, 0.2734510407e-4, -0.2073370639e-5, 0.2093887211e-6].reverse();
var b0_a2b = [-0.1562499995e-1, 0.1430488765e-3, -0.6911147651e-5, 0.7621095161e-6, -0.934935152e-7].reverse();
function bessel0(x) {
var a=0, a1=0, a2=0, y = x * x;
if(x < 8) {
a1 = _horner(b0_a1a, y);
a2 = _horner(b0_a2a, y);
a = a1 / a2;
} else {
var xx = x - 0.785398164;
y = 64 / y;
a1 = _horner(b0_a1b, y);
a2 = _horner(b0_a2b, y);
a = M.sqrt(W/x)*(M.cos(xx)*a1-M.sin(xx)*a2*8/x);
}
return a;
}
var b1_a1a = [72362614232.0, -7895059235.0, 242396853.1, -2972611.439, 15704.48260, -30.16036606].reverse();
var b1_a2a = [144725228442.0, 2300535178.0, 18583304.74, 99447.43394, 376.9991397, 1.0].reverse();
var b1_a1b = [1.0, 0.183105e-2, -0.3516396496e-4, 0.2457520174e-5, -0.240337019e-6].reverse();
var b1_a2b = [0.04687499995, -0.2002690873e-3, 0.8449199096e-5, -0.88228987e-6, 0.105787412e-6].reverse();
function bessel1(x) {
var a=0, a1=0, a2=0, y = x*x, xx = M.abs(x) - 2.356194491;
if(Math.abs(x)< 8) {
a1 = x*_horner(b1_a1a, y);
a2 = _horner(b1_a2a, y);
a = a1 / a2;
} else {
y = 64 / y;
a1=_horner(b1_a1b, y);
a2=_horner(b1_a2b, y);
a=M.sqrt(W/M.abs(x))*(M.cos(xx)*a1-M.sin(xx)*a2*8/M.abs(x));
if(x < 0) a = -a;
}
return a;
}
return function besselj(x, n) {
n = Math.round(n);
if(!isFinite(x)) return isNaN(x) ? x : 0;
if(n < 0) return ((n%2)?-1:1)*besselj(x, -n);
if(x < 0) return ((n%2)?-1:1)*besselj(-x, n);
if(n === 0) return bessel0(x);
if(n === 1) return bessel1(x);
if(x === 0) return 0;
var ret=0.0;
if(x > n) {
ret = _bessel_iter(x, n, bessel0(x), bessel1(x),-1);
} else {
var m=2*M.floor((n+M.floor(M.sqrt(40*n)))/2);
var jsum=false;
var bjp=0.0, sum=0.0;
var bj=1.0, bjm = 0.0;
var tox = 2 / x;
for (var j=m;j>0;j--) {
bjm=j*tox*bj-bjp;
bjp=bj;
bj=bjm;
if (M.abs(bj) > 1E10) {
bj *= 1E-10;
bjp *= 1E-10;
ret *= 1E-10;
sum *= 1E-10;
}
if (jsum) sum += bj;
jsum=!jsum;
if (j == n) ret=bjp;
}
sum=2.0*sum-bj;
ret /= sum;
}
return ret;
};
})();
var bessely = (function() {
var W = 0.636619772;
var b0_a1a = [-2957821389.0, 7062834065.0, -512359803.6, 10879881.29, -86327.92757, 228.4622733].reverse();
var b0_a2a = [40076544269.0, 745249964.8, 7189466.438, 47447.26470, 226.1030244, 1.0].reverse();
var b0_a1b = [1.0, -0.1098628627e-2, 0.2734510407e-4, -0.2073370639e-5, 0.2093887211e-6].reverse();
var b0_a2b = [-0.1562499995e-1, 0.1430488765e-3, -0.6911147651e-5, 0.7621095161e-6, -0.934945152e-7].reverse();
function bessel0(x) {
var a=0, a1=0, a2=0, y = x * x, xx = x - 0.785398164;
if(x < 8) {
a1 = _horner(b0_a1a, y);
a2 = _horner(b0_a2a, y);
a = a1/a2 + W * besselj(x,0) * M.log(x);
} else {
y = 64 / y;
a1 = _horner(b0_a1b, y);
a2 = _horner(b0_a2b, y);
a = M.sqrt(W/x)*(M.sin(xx)*a1+M.cos(xx)*a2*8/x);
}
return a;
}
var b1_a1a = [-0.4900604943e13, 0.1275274390e13, -0.5153438139e11, 0.7349264551e9, -0.4237922726e7, 0.8511937935e4].reverse();
var b1_a2a = [0.2499580570e14, 0.4244419664e12, 0.3733650367e10, 0.2245904002e8, 0.1020426050e6, 0.3549632885e3, 1].reverse();
var b1_a1b = [1.0, 0.183105e-2, -0.3516396496e-4, 0.2457520174e-5, -0.240337019e-6].reverse();
var b1_a2b = [0.04687499995, -0.2002690873e-3, 0.8449199096e-5, -0.88228987e-6, 0.105787412e-6].reverse();
function bessel1(x) {
var a=0, a1=0, a2=0, y = x*x, xx = x - 2.356194491;
if(x < 8) {
a1 = x*_horner(b1_a1a, y);
a2 = _horner(b1_a2a, y);
a = a1/a2 + W * (besselj(x,1) * M.log(x) - 1 / x);
} else {
y = 64 / y;
a1=_horner(b1_a1b, y);
a2=_horner(b1_a2b, y);
a=M.sqrt(W/x)*(M.sin(xx)*a1+M.cos(xx)*a2*8/x);
}
return a;
}
return _bessel_wrap(bessel0, bessel1, 'BESSELY', 1, -1);
})();
var besseli = (function() {
var b0_a = [1.0, 3.5156229, 3.0899424, 1.2067492, 0.2659732, 0.360768e-1, 0.45813e-2].reverse();
var b0_b = [0.39894228, 0.1328592e-1, 0.225319e-2, -0.157565e-2, 0.916281e-2, -0.2057706e-1, 0.2635537e-1, -0.1647633e-1, 0.392377e-2].reverse();
function bessel0(x) {
if(x <= 3.75) return _horner(b0_a, x*x/(3.75*3.75));
return M.exp(M.abs(x))/M.sqrt(M.abs(x))*_horner(b0_b, 3.75/M.abs(x));
}
var b1_a = [0.5, 0.87890594, 0.51498869, 0.15084934, 0.2658733e-1, 0.301532e-2, 0.32411e-3].reverse();
var b1_b = [0.39894228, -0.3988024e-1, -0.362018e-2, 0.163801e-2, -0.1031555e-1, 0.2282967e-1, -0.2895312e-1, 0.1787654e-1, -0.420059e-2].reverse();
function bessel1(x) {
if(x < 3.75) return x * _horner(b1_a, x*x/(3.75*3.75));
return (x < 0 ? -1 : 1) * M.exp(M.abs(x))/M.sqrt(M.abs(x))*_horner(b1_b, 3.75/M.abs(x));
}
return function besseli(x, n) {
n = Math.round(n);
if(n === 0) return bessel0(x);
if(n === 1) return bessel1(x);
if(n < 0) return NaN;
if(M.abs(x) === 0) return 0;
if(x == Infinity) return Infinity;
var ret = 0.0, j, tox = 2 / M.abs(x), bip = 0.0, bi=1.0, bim=0.0;
var m=2*M.round((n+M.round(M.sqrt(40*n)))/2);
for (j=m;j>0;j--) {
bim=j*tox*bi + bip;
bip=bi; bi=bim;
if (M.abs(bi) > 1E10) {
bi *= 1E-10;
bip *= 1E-10;
ret *= 1E-10;
}
if(j == n) ret = bip;
}
ret *= besseli(x, 0) / bi;
return x < 0 && (n%2) ? -ret : ret;
};
})();
var besselk = (function() {
var b0_a = [-0.57721566, 0.42278420, 0.23069756, 0.3488590e-1, 0.262698e-2, 0.10750e-3, 0.74e-5].reverse();
var b0_b = [1.25331414, -0.7832358e-1, 0.2189568e-1, -0.1062446e-1, 0.587872e-2, -0.251540e-2, 0.53208e-3].reverse();
function bessel0(x) {
if(x <= 2) return -M.log(x/2) * besseli(x,0) + _horner(b0_a, x*x/4);
return M.exp(-x) / M.sqrt(x) * _horner(b0_b, 2/x);
}
var b1_a = [1.0, 0.15443144, -0.67278579, -0.18156897, -0.1919402e-1, -0.110404e-2, -0.4686e-4].reverse();
var b1_b = [1.25331414, 0.23498619, -0.3655620e-1, 0.1504268e-1, -0.780353e-2, 0.325614e-2, -0.68245e-3].reverse();
function bessel1(x) {
if(x <= 2) return M.log(x/2) * besseli(x,1) + (1/x) * _horner(b1_a, x*x/4);
return M.exp(-x)/M.sqrt(x)*_horner(b1_b, 2/x);
}
return _bessel_wrap(bessel0, bessel1, 'BESSELK', 2, 1);
})();
BESSEL.besselj = besselj;
BESSEL.bessely = bessely;
BESSEL.besseli = besseli;
BESSEL.besselk = besselk;
}));

2
ctest/fakeassert.js Normal file

@ -0,0 +1,2 @@
var assert = {};
assert.equal = function(x,y) { if(x !== y) throw new Error(x + " !== " + y); };

23
ctest/index.html Normal file

@ -0,0 +1,23 @@
<!DOCTYPE html>
<html>
<head>
<title>Mocha</title>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<link rel="stylesheet" href="mocha.css" />
</head>
<body>
<div id="mocha"></div>
<script src="shim.js"></script>
<script src="http://cdnjs.cloudflare.com/ajax/libs/json3/3.3.2/json3.min.js"></script>
<script src="bessel.js"></script>
<script src="fakeassert.js"></script>
<script src="mocha.js"></script>
<script src="sauce-client.js"></script>
<script>mocha.setup('bdd')</script>
<script src="test.js"></script>
<script>
mocha_sauce();
</script>
</body>
</html>

305
ctest/mocha.css Normal file

@ -0,0 +1,305 @@
@charset "utf-8";
body {
margin:0;
}
#mocha {
font: 20px/1.5 "Helvetica Neue", Helvetica, Arial, sans-serif;
margin: 60px 50px;
}
#mocha ul,
#mocha li {
margin: 0;
padding: 0;
}
#mocha ul {
list-style: none;
}
#mocha h1,
#mocha h2 {
margin: 0;
}
#mocha h1 {
margin-top: 15px;
font-size: 1em;
font-weight: 200;
}
#mocha h1 a {
text-decoration: none;
color: inherit;
}
#mocha h1 a:hover {
text-decoration: underline;
}
#mocha .suite .suite h1 {
margin-top: 0;
font-size: .8em;
}
#mocha .hidden {
display: none;
}
#mocha h2 {
font-size: 12px;
font-weight: normal;
cursor: pointer;
}
#mocha .suite {
margin-left: 15px;
}
#mocha .test {
margin-left: 15px;
overflow: hidden;
}
#mocha .test.pending:hover h2::after {
content: '(pending)';
font-family: arial, sans-serif;
}
#mocha .test.pass.medium .duration {
background: #c09853;
}
#mocha .test.pass.slow .duration {
background: #b94a48;
}
#mocha .test.pass::before {
content: '✓';
font-size: 12px;
display: block;
float: left;
margin-right: 5px;
color: #00d6b2;
}
#mocha .test.pass .duration {
font-size: 9px;
margin-left: 5px;
padding: 2px 5px;
color: #fff;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.2);
-moz-box-shadow: inset 0 1px 1px rgba(0,0,0,.2);
box-shadow: inset 0 1px 1px rgba(0,0,0,.2);
-webkit-border-radius: 5px;
-moz-border-radius: 5px;
-ms-border-radius: 5px;
-o-border-radius: 5px;
border-radius: 5px;
}
#mocha .test.pass.fast .duration {
display: none;
}
#mocha .test.pending {
color: #0b97c4;
}
#mocha .test.pending::before {
content: '◦';
color: #0b97c4;
}
#mocha .test.fail {
color: #c00;
}
#mocha .test.fail pre {
color: black;
}
#mocha .test.fail::before {
content: '✖';
font-size: 12px;
display: block;
float: left;
margin-right: 5px;
color: #c00;
}
#mocha .test pre.error {
color: #c00;
max-height: 300px;
overflow: auto;
}
#mocha .test .html-error {
overflow: auto;
color: black;
line-height: 1.5;
display: block;
float: left;
clear: left;
font: 12px/1.5 monaco, monospace;
margin: 5px;
padding: 15px;
border: 1px solid #eee;
max-width: 85%; /*(1)*/
max-width: calc(100% - 42px); /*(2)*/
max-height: 300px;
word-wrap: break-word;
border-bottom-color: #ddd;
-webkit-border-radius: 3px;
-webkit-box-shadow: 0 1px 3px #eee;
-moz-border-radius: 3px;
-moz-box-shadow: 0 1px 3px #eee;
border-radius: 3px;
}
#mocha .test .html-error pre.error {
border: none;
-webkit-border-radius: none;
-webkit-box-shadow: none;
-moz-border-radius: none;
-moz-box-shadow: none;
padding: 0;
margin: 0;
margin-top: 18px;
max-height: none;
}
/**
* (1): approximate for browsers not supporting calc
* (2): 42 = 2*15 + 2*10 + 2*1 (padding + margin + border)
* ^^ seriously
*/
#mocha .test pre {
display: block;
float: left;
clear: left;
font: 12px/1.5 monaco, monospace;
margin: 5px;
padding: 15px;
border: 1px solid #eee;
max-width: 85%; /*(1)*/
max-width: calc(100% - 42px); /*(2)*/
word-wrap: break-word;
border-bottom-color: #ddd;
-webkit-border-radius: 3px;
-webkit-box-shadow: 0 1px 3px #eee;
-moz-border-radius: 3px;
-moz-box-shadow: 0 1px 3px #eee;
border-radius: 3px;
}
#mocha .test h2 {
position: relative;
}
#mocha .test a.replay {
position: absolute;
top: 3px;
right: 0;
text-decoration: none;
vertical-align: middle;
display: block;
width: 15px;
height: 15px;
line-height: 15px;
text-align: center;
background: #eee;
font-size: 15px;
-moz-border-radius: 15px;
border-radius: 15px;
-webkit-transition: opacity 200ms;
-moz-transition: opacity 200ms;
transition: opacity 200ms;
opacity: 0.3;
color: #888;
}
#mocha .test:hover a.replay {
opacity: 1;
}
#mocha-report.pass .test.fail {
display: none;
}
#mocha-report.fail .test.pass {
display: none;
}
#mocha-report.pending .test.pass,
#mocha-report.pending .test.fail {
display: none;
}
#mocha-report.pending .test.pass.pending {
display: block;
}
#mocha-error {
color: #c00;
font-size: 1.5em;
font-weight: 100;
letter-spacing: 1px;
}
#mocha-stats {
position: fixed;
top: 15px;
right: 10px;
font-size: 12px;
margin: 0;
color: #888;
z-index: 1;
}
#mocha-stats .progress {
float: right;
padding-top: 0;
}
#mocha-stats em {
color: black;
}
#mocha-stats a {
text-decoration: none;
color: inherit;
}
#mocha-stats a:hover {
border-bottom: 1px solid #eee;
}
#mocha-stats li {
display: inline-block;
margin: 0 5px;
list-style: none;
padding-top: 11px;
}
#mocha-stats canvas {
width: 40px;
height: 40px;
}
#mocha code .comment { color: #ddd; }
#mocha code .init { color: #2f6fad; }
#mocha code .string { color: #5890ad; }
#mocha code .keyword { color: #8a6343; }
#mocha code .number { color: #2f6fad; }
@media screen and (max-device-width: 480px) {
#mocha {
margin: 60px 0px;
}
#mocha #stats {
position: absolute;
}
}

5842
ctest/mocha.js Normal file

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237
ctest/shim.js Normal file

@ -0,0 +1,237 @@
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Object/keys
if (!Object.keys) {
Object.keys = (function () {
var hasOwnProperty = Object.prototype.hasOwnProperty,
hasDontEnumBug = !({toString: null}).propertyIsEnumerable('toString'),
dontEnums = [
'toString',
'toLocaleString',
'valueOf',
'hasOwnProperty',
'isPrototypeOf',
'propertyIsEnumerable',
'constructor'
],
dontEnumsLength = dontEnums.length;
return function (obj) {
if (typeof obj !== 'object' && typeof obj !== 'function' || obj === null) throw new TypeError('Object.keys called on non-object');
var result = [];
for (var prop in obj) {
if (hasOwnProperty.call(obj, prop)) result.push(prop);
}
if (hasDontEnumBug) {
for (var i=0; i < dontEnumsLength; i++) {
if (hasOwnProperty.call(obj, dontEnums[i])) result.push(dontEnums[i]);
}
}
return result;
};
})();
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/filter
if (!Array.prototype.filter)
{
Array.prototype.filter = function(fun /*, thisp */)
{
"use strict";
if (this == null)
throw new TypeError();
var t = Object(this);
var len = t.length >>> 0;
if (typeof fun != "function")
throw new TypeError();
var res = [];
var thisp = arguments[1];
for (var i = 0; i < len; i++)
{
if (i in t)
{
var val = t[i]; // in case fun mutates this
if (fun.call(thisp, val, i, t))
res.push(val);
}
}
return res;
};
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/String/Trim
if (!String.prototype.trim) {
String.prototype.trim = function () {
return this.replace(/^\s+|\s+$/g, '');
};
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/forEach
if (!Array.prototype.forEach)
{
Array.prototype.forEach = function(fun /*, thisArg */)
{
"use strict";
if (this === void 0 || this === null)
throw new TypeError();
var t = Object(this);
var len = t.length >>> 0;
if (typeof fun !== "function")
throw new TypeError();
var thisArg = arguments.length >= 2 ? arguments[1] : void 0;
for (var i = 0; i < len; i++)
{
if (i in t)
fun.call(thisArg, t[i], i, t);
}
};
}
// Production steps of ECMA-262, Edition 5, 15.4.4.19
// Reference: http://es5.github.com/#x15.4.4.19
if (!Array.prototype.map) {
Array.prototype.map = function(callback, thisArg) {
var T, A, k;
if (this == null) {
throw new TypeError(" this is null or not defined");
}
// 1. Let O be the result of calling ToObject passing the |this| value as the argument.
var O = Object(this);
// 2. Let lenValue be the result of calling the Get internal method of O with the argument "length".
// 3. Let len be ToUint32(lenValue).
var len = O.length >>> 0;
// 4. If IsCallable(callback) is false, throw a TypeError exception.
// See: http://es5.github.com/#x9.11
if (typeof callback !== "function") {
throw new TypeError(callback + " is not a function");
}
// 5. If thisArg was supplied, let T be thisArg; else let T be undefined.
if (thisArg) {
T = thisArg;
}
// 6. Let A be a new array created as if by the expression new Array(len) where Array is
// the standard built-in constructor with that name and len is the value of len.
A = new Array(len);
// 7. Let k be 0
k = 0;
// 8. Repeat, while k < len
while(k < len) {
var kValue, mappedValue;
// a. Let Pk be ToString(k).
// This is implicit for LHS operands of the in operator
// b. Let kPresent be the result of calling the HasProperty internal method of O with argument Pk.
// This step can be combined with c
// c. If kPresent is true, then
if (k in O) {
// i. Let kValue be the result of calling the Get internal method of O with argument Pk.
kValue = O[ k ];
// ii. Let mappedValue be the result of calling the Call internal method of callback
// with T as the this value and argument list containing kValue, k, and O.
mappedValue = callback.call(T, kValue, k, O);
// iii. Call the DefineOwnProperty internal method of A with arguments
// Pk, Property Descriptor {Value: mappedValue, : true, Enumerable: true, Configurable: true},
// and false.
// In browsers that support Object.defineProperty, use the following:
// Object.defineProperty(A, Pk, { value: mappedValue, writable: true, enumerable: true, configurable: true });
// For best browser support, use the following:
A[ k ] = mappedValue;
}
// d. Increase k by 1.
k++;
}
// 9. return A
return A;
};
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/indexOf
if (!Array.prototype.indexOf) {
Array.prototype.indexOf = function (searchElement, fromIndex) {
if ( this === undefined || this === null ) {
throw new TypeError( '"this" is null or not defined' );
}
var length = this.length >>> 0; // Hack to convert object.length to a UInt32
fromIndex = +fromIndex || 0;
if (Math.abs(fromIndex) === Infinity) {
fromIndex = 0;
}
if (fromIndex < 0) {
fromIndex += length;
if (fromIndex < 0) {
fromIndex = 0;
}
}
for (;fromIndex < length; fromIndex++) {
if (this[fromIndex] === searchElement) {
return fromIndex;
}
}
return -1;
};
}
// Based on https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/isArray
if (! Array.isArray) {
Array.isArray = function(obj) {
return Object.prototype.toString.call(obj) === "[object Array]";
};
}
// https://github.com/ttaubert/node-arraybuffer-slice
// (c) 2013 Tim Taubert <tim@timtaubert.de>
// arraybuffer-slice may be freely distributed under the MIT license.
"use strict";
if (typeof ArrayBuffer !== 'undefined' && !ArrayBuffer.prototype.slice) {
ArrayBuffer.prototype.slice = function (begin, end) {
begin = (begin|0) || 0;
var num = this.byteLength;
end = end === (void 0) ? num : (end|0);
// Handle negative values.
if (begin < 0) begin += num;
if (end < 0) end += num;
if (num === 0 || begin >= num || begin >= end) {
return new ArrayBuffer(0);
}
var length = Math.min(num - begin, end - begin);
var target = new ArrayBuffer(length);
var targetArray = new Uint8Array(target);
targetArray.set(new Uint8Array(this, begin, length));
return target;
};
}

124
ctest/test.js Normal file

@ -0,0 +1,124 @@
/* vim: set ts=2: */
var X;
if(typeof require !== 'undefined') {
assert = require('assert');
describe('source',function(){
it('should load',function(){X=require('./');});
it('all bessel functions', function() {
assert.equal(typeof X.besseli, 'function');
assert.equal(typeof X.besselj, 'function');
assert.equal(typeof X.besselk, 'function');
assert.equal(typeof X.bessely, 'function');
});
});
} else { X = BESSEL; }
function approx(a, b, t) { return Math.abs((a - b) / (Math.abs(a) + Math.abs(b))) <= t; }
function chk(func, x, n, v, F, t) {
var V = func(x,n);
if(!approx(V, v, t) && v != V && !(isNaN(v) && isNaN(V))) throw new Error(F + "(" + x + "," + n + ") = " + V + " !~ " + v);
}
var funcs = ['besseli', 'besselj', 'besselk', 'bessely'];
var tests = {
'besseli': [
[1.5, 1, 0.981666],
[1.9, 2, 0.603272435],
[2.5, 1, 2.516716242]
],
'besselj': [
[1.5, 1, 0.557936508],
[1.9, 2, 0.329925829],
[2.5, 1, 0.497094103]
],
'besselk': [
[1.5, 1, 0.277388],
[1.9, 2, 0.296909301],
[2.5, 1, 0.073890816]
],
'bessely': [
[1.5, 1, -0.412308627],
[1.9, 2, -0.669878674],
[2.5, 1, 0.14591814]
] };
describe('correctness', function() {
funcs.forEach(function(F) { it(F, function() {
tests[F].forEach(function(t) { chk(X[F], t[0], t[1], t[2], F, 1e-6); });
});});
if(typeof require != 'undefined') {
var fs = require('fs');
it('excel', function() {
var xl = fs.readFileSync("test_files/excel.tsv", 'ascii').split("\n").map(function(l) { return l.split("\t");});
xl.forEach(function(l) { if(l.length < 6) return;
var x=Number(l[0]), n=Number(l[1]);
var i=Number(l[2]), j=Number(l[3]), k=Number(l[4]), y=Number(l[5]);
chk(X.besseli, x, n, i, 'besseli', 1e-4);
chk(X.besselj, x, n, j, 'besselj', 1e-4);
chk(X.besselk, x, n, k, 'besselk', 1e-4);
chk(X.bessely, x, n, y, 'bessely', 1e-4);
});
});
it('mma', function() {
var mma = fs.readFileSync("test_files/mma.tsv", 'ascii').split("\n").map(function(l) { return l.split("\t");});
mma.forEach(function(l) { if(l.length < 6) return;
var x=Number(l[0]), n=Number(l[1]);
var i=Number(l[2]), j=Number(l[3]), k=Number(l[4]), y=Number(l[5]);
chk(X.besseli, x, n, i, 'besseli', 1e-5);
chk(X.besselj, x, n, j, 'besselj', 1e-5);
chk(X.besselk, x, n, k, 'besselk', 1e-5);
chk(X.bessely, x, n, y, 'bessely', 1e-5);
});
});
}
});
var rand = [
0.3946086812775882, 3.946086812775882, 39.46086812775882,
0.03119419917289612, 0.3119419917289612, 3.119419917289612,
0.18311903629136062, 1.8311903629136062, 18.311903629136062,
0.5317681126599452, 5.317681126599452, 53.17681126599452,
0.37724541457032235, 3.7724541457032235, 37.724541457032235,
0.8287802926845655, 8.287802926845655, 82.87802926845655,
0.7197724866379658, 7.197724866379658, 71.97724866379658
];
describe('properties', function() {
var t = 1e-4;
it('limiting behavior', function() {
chk(X.besselj, 0, 0, 1, 'besselj', 1e-6);
chk(X.besseli, 0, 0, 1, 'besseli', 1e-6);
chk(X.besselk, 0, 0, Infinity, 'besselk', 1e-6);
chk(X.bessely, 0, 0, -Infinity, 'bessely', 1e-6);
for(var i = 1; i < 20; ++i) {
chk(X.besselj, 0, i, 0, 'besselj', 1e-6);
chk(X.besseli, 0, i, 0, 'besseli', 1e-6);
}
});
it('besselj', function() {
var F = "BESSELJ", f = X.besselj;
rand.forEach(function(r) {
for(var n = 0; n < 20; ++n) {
var pp = f( r, n), pn = f( r, -n), np = f(-r, n), nn = f(-r, -n);
if((n%2)) {
/* besselj odd if n is odd */
if(!approx(np, -pp, t)) throw new Error(F + " np[" + np + "] != -pp[" + (-pp) + "] (" + r + "," + n + ")");
if(!approx(nn, -pn, t)) throw new Error(F + " nn[" + nn + "] != -pn[" + (-pn) + "] (" + r + "," + n + ")");
/* asymmetric in n */
if(!approx(pn, -pp, t)) throw new Error(F + " pn[" + pn + "] != -pp[" + (-pp) + "] (" + r + "," + n + ")");
if(!approx(nn, -np, t)) throw new Error(F + " nn[" + nn + "] != -pn[" + (-pn) + "] (" + r + "," + n + ")");
} else {
/* besselj even if n is even */
if(!approx(np, pp, t)) throw new Error(F + " np[" + np + "] != pp[" + (pp) + "] (" + r + "," + n + ")");
if(!approx(nn, pn, t)) throw new Error(F + " nn[" + nn + "] != pn[" + (pn) + "] (" + r + "," + n + ")");
/* symmetric in n */
if(!approx(pn, pp, t)) throw new Error(F + " pn[" + pn + "] != pp[" + (pp) + "] (" + r + "," + n + ")");
if(!approx(nn, np, t)) throw new Error(F + " nn[" + nn + "] != pn[" + (pn) + "] (" + r + "," + n + ")");
}
}
});
});
});

@ -1,6 +1,6 @@
{
"name": "bessel",
"version": "0.3.0",
"version": "1.0.2",
"author": "SheetJS",
"description": "Pure-JS Bessel Functions",
"keywords": [ "bessel", "math", "specfun" ],
@ -8,8 +8,8 @@
"dependencies": {
},
"devDependencies": {
"mocha":"",
"voc":""
"mocha":"~2.5.3",
"voc":"~1.0.0"
},
"repository": { "type":"git", "url":"git://github.com/SheetJS/bessel.git" },
"scripts": {
@ -20,7 +20,9 @@
"pattern": "bessel.js"
}
},
"files": ["bessel.js", "LICENSE", "README.md"],
"homepage": "https://oss.sheetjs.com/bessel/",
"bugs": { "url": "https://github.com/SheetJS/bessel/issues" },
"license": "MIT",
"license": "Apache-2.0",
"engines": { "node": ">=0.8" }
}

237
shim.js Normal file

@ -0,0 +1,237 @@
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Object/keys
if (!Object.keys) {
Object.keys = (function () {
var hasOwnProperty = Object.prototype.hasOwnProperty,
hasDontEnumBug = !({toString: null}).propertyIsEnumerable('toString'),
dontEnums = [
'toString',
'toLocaleString',
'valueOf',
'hasOwnProperty',
'isPrototypeOf',
'propertyIsEnumerable',
'constructor'
],
dontEnumsLength = dontEnums.length;
return function (obj) {
if (typeof obj !== 'object' && typeof obj !== 'function' || obj === null) throw new TypeError('Object.keys called on non-object');
var result = [];
for (var prop in obj) {
if (hasOwnProperty.call(obj, prop)) result.push(prop);
}
if (hasDontEnumBug) {
for (var i=0; i < dontEnumsLength; i++) {
if (hasOwnProperty.call(obj, dontEnums[i])) result.push(dontEnums[i]);
}
}
return result;
};
})();
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/filter
if (!Array.prototype.filter)
{
Array.prototype.filter = function(fun /*, thisp */)
{
"use strict";
if (this == null)
throw new TypeError();
var t = Object(this);
var len = t.length >>> 0;
if (typeof fun != "function")
throw new TypeError();
var res = [];
var thisp = arguments[1];
for (var i = 0; i < len; i++)
{
if (i in t)
{
var val = t[i]; // in case fun mutates this
if (fun.call(thisp, val, i, t))
res.push(val);
}
}
return res;
};
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/String/Trim
if (!String.prototype.trim) {
String.prototype.trim = function () {
return this.replace(/^\s+|\s+$/g, '');
};
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/forEach
if (!Array.prototype.forEach)
{
Array.prototype.forEach = function(fun /*, thisArg */)
{
"use strict";
if (this === void 0 || this === null)
throw new TypeError();
var t = Object(this);
var len = t.length >>> 0;
if (typeof fun !== "function")
throw new TypeError();
var thisArg = arguments.length >= 2 ? arguments[1] : void 0;
for (var i = 0; i < len; i++)
{
if (i in t)
fun.call(thisArg, t[i], i, t);
}
};
}
// Production steps of ECMA-262, Edition 5, 15.4.4.19
// Reference: http://es5.github.com/#x15.4.4.19
if (!Array.prototype.map) {
Array.prototype.map = function(callback, thisArg) {
var T, A, k;
if (this == null) {
throw new TypeError(" this is null or not defined");
}
// 1. Let O be the result of calling ToObject passing the |this| value as the argument.
var O = Object(this);
// 2. Let lenValue be the result of calling the Get internal method of O with the argument "length".
// 3. Let len be ToUint32(lenValue).
var len = O.length >>> 0;
// 4. If IsCallable(callback) is false, throw a TypeError exception.
// See: http://es5.github.com/#x9.11
if (typeof callback !== "function") {
throw new TypeError(callback + " is not a function");
}
// 5. If thisArg was supplied, let T be thisArg; else let T be undefined.
if (thisArg) {
T = thisArg;
}
// 6. Let A be a new array created as if by the expression new Array(len) where Array is
// the standard built-in constructor with that name and len is the value of len.
A = new Array(len);
// 7. Let k be 0
k = 0;
// 8. Repeat, while k < len
while(k < len) {
var kValue, mappedValue;
// a. Let Pk be ToString(k).
// This is implicit for LHS operands of the in operator
// b. Let kPresent be the result of calling the HasProperty internal method of O with argument Pk.
// This step can be combined with c
// c. If kPresent is true, then
if (k in O) {
// i. Let kValue be the result of calling the Get internal method of O with argument Pk.
kValue = O[ k ];
// ii. Let mappedValue be the result of calling the Call internal method of callback
// with T as the this value and argument list containing kValue, k, and O.
mappedValue = callback.call(T, kValue, k, O);
// iii. Call the DefineOwnProperty internal method of A with arguments
// Pk, Property Descriptor {Value: mappedValue, : true, Enumerable: true, Configurable: true},
// and false.
// In browsers that support Object.defineProperty, use the following:
// Object.defineProperty(A, Pk, { value: mappedValue, writable: true, enumerable: true, configurable: true });
// For best browser support, use the following:
A[ k ] = mappedValue;
}
// d. Increase k by 1.
k++;
}
// 9. return A
return A;
};
}
// From https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/indexOf
if (!Array.prototype.indexOf) {
Array.prototype.indexOf = function (searchElement, fromIndex) {
if ( this === undefined || this === null ) {
throw new TypeError( '"this" is null or not defined' );
}
var length = this.length >>> 0; // Hack to convert object.length to a UInt32
fromIndex = +fromIndex || 0;
if (Math.abs(fromIndex) === Infinity) {
fromIndex = 0;
}
if (fromIndex < 0) {
fromIndex += length;
if (fromIndex < 0) {
fromIndex = 0;
}
}
for (;fromIndex < length; fromIndex++) {
if (this[fromIndex] === searchElement) {
return fromIndex;
}
}
return -1;
};
}
// Based on https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/isArray
if (! Array.isArray) {
Array.isArray = function(obj) {
return Object.prototype.toString.call(obj) === "[object Array]";
};
}
// https://github.com/ttaubert/node-arraybuffer-slice
// (c) 2013 Tim Taubert <tim@timtaubert.de>
// arraybuffer-slice may be freely distributed under the MIT license.
"use strict";
if (typeof ArrayBuffer !== 'undefined' && !ArrayBuffer.prototype.slice) {
ArrayBuffer.prototype.slice = function (begin, end) {
begin = (begin|0) || 0;
var num = this.byteLength;
end = end === (void 0) ? num : (end|0);
// Handle negative values.
if (begin < 0) begin += num;
if (end < 0) end += num;
if (num === 0 || begin >= num || begin >= end) {
return new ArrayBuffer(0);
}
var length = Math.min(num - begin, end - begin);
var target = new ArrayBuffer(length);
var targetArray = new Uint8Array(target);
targetArray.set(new Uint8Array(this, begin, length));
return target;
};
}