commit 771b56dcc5a34596754f35c378742750fe3538fa Author: SheetJS Date: Sat Dec 14 02:43:55 2013 -0500 Initial commit diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..3d11e55 --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +test_files/out.* diff --git a/.travis.yml b/.travis.yml new file mode 100644 index 0000000..a1f55b5 --- /dev/null +++ b/.travis.yml @@ -0,0 +1,6 @@ +language: node_js +node_js: + - "0.10" + - "0.8" +before_install: + - "npm install -g mocha" diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..93d22d9 --- /dev/null +++ b/LICENSE @@ -0,0 +1,9 @@ +Copyright (C) 2013 SheetJS + +The MIT License (MIT) + +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: + +The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..1599593 --- /dev/null +++ b/Makefile @@ -0,0 +1,35 @@ +ifndef BASE +BASE=2 +endif + +ifndef NELTS +NELTS=10 +endif + +BASELINE=./test_files/baseline.$(BASE).$(NELTS) +TESTFILE=./test_files/out.$(BASE).$(NELTS) + +.PHONY: test +test: $(BASELINE) + node test_files/test_standalone.js $(BASE) $(NELTS) > $(TESTFILE) + diff $(BASELINE) $(TESTFILE) + +.PHONY: mocha +mocha: $(BASELINE) + mocha -R spec + +.PHONY: baseline +baseline $(BASELINE): + bash test_files/generate_baseline.sh $(BASE) $(NELTS) > $(BASELINE) + +.PHONY: all +all: + bash test_files/make.sh + +.PHONY: clean +clean: + rm -f test_files/out.* + +.PHONY: clean-base +clean-base: clean + rm -f test_files/baseline.* diff --git a/README.md b/README.md new file mode 100644 index 0000000..007f7b9 --- /dev/null +++ b/README.md @@ -0,0 +1,60 @@ +# VDC + +Pure JS implementation of van der Corput low-discrepancy sequences. + +## Installation + +Available on [npm vdc](http://npm.im/vdc): + +``` +$ npm install vdc +``` + +## Usage + +The exported function `VDC` accepts a `opts` object with the following fields: + +- `b` (default `2`) base for the sequence. +- `n` (default `0`) starting index for the sequence. + +Calling without arguments will default to the aforementioned values. + +The object returned by `VDC` exposes a `next()` method to get the next element. + +The field `last` holds the most recently generated value (accessing the field +does not trigger a recalculation) + +## Sample Session + +``` +var VDC = require('vdc') + +var opts = {'n':0, 'b':2}; +var generator = VDC(opts); +for(var i = 0; i != 10; ++i) console.log(generator.next()); +``` + +The expected output is + +``` +0 (0/1) +0.5 (1/2) +0.25 (1/4) +0.75 (3/4) +0.125 (1/8) +0.625 (5/8) +0.375 (3/8) +0.875 (7/8) +0.0625 (1/16) +0.5625 (9/16) +``` + +## Notes + +`0` is the first value. Some sources (notably Wikipedia) start the sequence at +`1/2`, but others (Glasserman "Monte Carlo Methods in Financial Engineering") +claim that the original sequence definition started at `0`. + +## License + +MIT-licensed. See `LICENSE` diff --git a/package.json b/package.json new file mode 100644 index 0000000..8e8e914 --- /dev/null +++ b/package.json @@ -0,0 +1,17 @@ +{ + "name": "vdc", + "version": "0.1.1", + "author": "SheetJS", + "description": "van der Corput low-discrepancy sequences", + "keywords": [ "math", "random", "qrng", "lds" ], + "main": "./vdc", + "devDependencies": { + "mocha":"" + }, + "repository": { "type":"git", "url":"git://github.com/SheetJS/js-vdc.git" }, + "scripts": { + "test": "make mocha" + }, + "bugs": { "url": "https://github.com/SheetJS/js-vdc/issues" }, + "license": "MIT" +} diff --git a/test.js b/test.js new file mode 100644 index 0000000..9ec02a4 --- /dev/null +++ b/test.js @@ -0,0 +1,20 @@ +/* Copyright (C) 2013 SheetJS */ +/* vim: set ts=2: */ +var VDC; +var fs = require('fs'), assert = require('assert'); +describe('source', function() { it('should load', function() { VDC = require('./'); }); }); + +var files = (fs.existsSync('tests.lst') ? fs.readFileSync('tests.lst', 'utf-8').split("\n") : fs.readdirSync('test_files')).filter(function(x){return x.substr(0,9)=="baseline.";}); + +describe('should reproduce baselines', function() { + files.forEach(function(x) { + var d = x.substr(9).split("."), base = d[0], elts = d[1]; + it("base=" + base + " elts=" + elts, function() { + var opts = {'n':1,'b':base}; + var gen = VDC(opts); + var data = fs.readFileSync('./test_files/' + x, 'utf-8').split("\n") + .filter(function(x) { return x.length > 1; }); + for(var i = 1; i <= elts; ++i) assert.equal((i +"\t"+ gen.next().toFixed(6)).slice(0,-1),data[i-1].slice(0,-1)); + }); + }); +}); diff --git a/test_files/baseline.11.10 b/test_files/baseline.11.10 new file mode 100644 index 0000000..2281a27 --- /dev/null +++ b/test_files/baseline.11.10 @@ -0,0 +1,10 @@ +1 0.090909 +2 0.181818 +3 0.272727 +4 0.363636 +5 0.454545 +6 0.545455 +7 0.636364 +8 0.727273 +9 0.818182 +10 0.909091 diff --git a/test_files/baseline.11.100 b/test_files/baseline.11.100 new file mode 100644 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b/test_files/generate_baseline.sh new file mode 100755 index 0000000..53456ce --- /dev/null +++ b/test_files/generate_baseline.sh @@ -0,0 +1,15 @@ +#!/bin/bash +# generate_baseline.sh -- generate test baseline using mathematica +# Copyright (C) 2013 SheetJS +# usage: $0 [base:2] [nelts:10] +MCMD=math + +if [ -x /Applications/Mathematica.app/Contents/MacOS/MathKernel ]; then + MCMD=/Applications/Mathematica.app//Contents/MacOS/MathKernel +fi + +SCRIPT=test_files/vdc.m +if [ ! -e $SCRIPT ]; then SCRIPT=vdc.m; fi + +$MCMD -script $SCRIPT 7 ${1:-2} ${2:-10} | awk 'NF {print $1 "\t" $2}' + diff --git a/test_files/make.sh b/test_files/make.sh new file mode 100644 index 0000000..7a9e0cd --- /dev/null +++ b/test_files/make.sh @@ -0,0 +1,8 @@ +#!/bin/bash + +make clean-base +for base in 2 3 5 7 11 13 17 19; do + for nelts in {2,5,10}{,0{,0{,0}}}; do + BASE=$base NELTS=$nelts make baseline + done +done diff --git a/test_files/test_standalone.js b/test_files/test_standalone.js new file mode 100644 index 0000000..e324233 --- /dev/null +++ b/test_files/test_standalone.js @@ -0,0 +1,8 @@ +/* usage: node test_standalone.js [base:2] [nelts:10] */ +/* Copyright (C) 2013 SheetJS */ +var VDC = require('../') +var args = process.argv.slice(2); +var base = Number(args[0] || 2), nelts = Number(args[1] || 10); +var opts = {'n':1, 'b':base}; +var generator = VDC(opts); +for(var i=1; i<=nelts; ++i) console.log(i +"\t"+ generator.next().toFixed(6)); diff --git a/test_files/vdc.m b/test_files/vdc.m new file mode 100644 index 0000000..6026c1e --- /dev/null +++ b/test_files/vdc.m @@ -0,0 +1,25 @@ +(* vdc.m -- van der Corput script *) +(* Copyright (C) 2013 SheetJS *) +(* vim: set ft=mma: *) +(* Usage: math -script vdc.m *) + +(* read arguments from command line *) +argdigs=ToExpression[$CommandLine[[-3]]]; +argbase=ToExpression[$CommandLine[[-2]]]; +argelts=ToExpression[$CommandLine[[-1]]]; +d={argdigs,argdigs}; + +(* + van der Corput sequence generation in mathematica: + http://reference.wolfram.com/mathematica/CUDALink/tutorial/Applications.html + + this function returns a table of the form + [iteration, fraction] +*) +VanDerCorput[base_][len_]:=Table[ + {n, With[{digits = Reverse@IntegerDigits[n, base]}, + N[Sum[argbase^(-ii)*digits[[ii]], {ii, Length[digits]}],d]]}, {n, len}]; + +(* print table form *) +data=VanDerCorput[argbase][argelts]; +Print[Grid[data]//OutputForm] diff --git a/vdc.js b/vdc.js new file mode 100644 index 0000000..297f577 --- /dev/null +++ b/vdc.js @@ -0,0 +1,26 @@ +function VDC (opts) { + if(!(this instanceof VDC)) return new VDC(opts); + var o = opts || {} + this._b = o.b || 2; + this.last = 0; + this.reset(o); +}; + +VDC.prototype.reset = function(opts) { + this._n = (opts||{}).n||0; +} + +VDC.prototype.next = function() { + var n = this._n++; + var p = 0, q = 1; + while(n >= 1) { + p = p * this._b + (n % this._b); + q *= this._b; + n = (n/this._b)|0; + } + return this.last = p / q; +} + +if(typeof module !== 'undefined') { + module.exports = VDC; +}