Added version 1 of the V8 benchmark suite to the repository.


git-svn-id: http://v8.googlecode.com/svn/branches/bleeding_edge@91 ce2b1a6d-e550-0410-aec6-3dcde31c8c00
parent 1461117c
V8 Benchmark Suite
==================
This is the V8 benchmark suite: A collection of pure JavaScript
benchmarks that we have used to tune V8. The licenses for the
individual benchmarks are included in the JavaScript files.
In addition to the benchmarks, the suite consists of the benchmark
framework (base.js), which must be loaded before any of the individual
benchmark files, and two benchmark runners: An HTML version (run.html)
and a standalone JavaScript version (run.js).
// Copyright 2008 Google Inc. All Rights Reserved.
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above
// copyright notice, this list of conditions and the following
// disclaimer in the documentation and/or other materials provided
// with the distribution.
// * Neither the name of Google Inc. nor the names of its
// contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
// Simple framework for running the benchmark suites and
// computing a score based on the timing measurements.
// A benchmark has a name (string) and a function that will be run to
// do the performance measurement.
function Benchmark(name, run) {
this.name = name;
this.run = run;
}
// Benchmark results hold the benchmark and the measured time used to
// run the benchmark. The benchmark score is computed later once a
// full benchmark suite has run to completion.
function BenchmarkResult(benchmark, time) {
this.benchmark = benchmark;
this.time = time;
}
// Automatically convert results to numbers. Used by the geometric
// mean computation.
BenchmarkResult.prototype.valueOf = function() {
return this.time;
}
// Suites of benchmarks consist of a name and the set of benchmarks in
// addition to the reference timing that the final score will be based
// on. This way, all scores are relative to a reference run and higher
// scores implies better performance.
function BenchmarkSuite(name, reference, benchmarks) {
this.name = name;
this.reference = reference;
this.benchmarks = benchmarks;
BenchmarkSuite.suites.push(this);
}
// Keep track of all declared benchmark suites.
BenchmarkSuite.suites = [];
// Scores are not comparable across versions. Bump the version if
// you're making changes that will affect that scores, e.g. if you add
// a new benchmark or change an existing one.
BenchmarkSuite.version = '1';
// Runs all registered benchmark suites and optionally yields between
// each individual benchmark to avoid running for too long in the
// context of browsers. Once done, the final score is reported to the
// runner.
BenchmarkSuite.RunSuites = function(runner) {
var continuation = null;
var suites = BenchmarkSuite.suites;
var length = suites.length;
BenchmarkSuite.scores = [];
var index = 0;
function RunStep() {
while (continuation || index < length) {
if (continuation) {
continuation = continuation();
} else {
var suite = suites[index++];
if (runner.NotifyStart) runner.NotifyStart(suite.name);
continuation = suite.RunStep(runner);
}
if (continuation && typeof window != 'undefined' && window.setTimeout) {
window.setTimeout(RunStep, 100);
return;
}
}
if (runner.NotifyScore) {
var score = BenchmarkSuite.GeometricMean(BenchmarkSuite.scores);
runner.NotifyScore(Math.round(100 * score));
}
}
RunStep();
}
// Counts the total number of registered benchmarks. Useful for
// showing progress as a percentage.
BenchmarkSuite.CountBenchmarks = function() {
var result = 0;
var suites = BenchmarkSuite.suites;
for (var i = 0; i < suites.length; i++) {
result += suites[i].benchmarks.length;
}
return result;
}
// Computes the geometric mean of a set of numbers.
BenchmarkSuite.GeometricMean = function(numbers) {
var log = 0;
for (var i = 0; i < numbers.length; i++) {
log += Math.log(numbers[i]);
}
return Math.pow(Math.E, log / numbers.length);
}
// Notifies the runner that we're done running a single benchmark in
// the benchmark suite. This can be useful to report progress.
BenchmarkSuite.prototype.NotifyStep = function(result) {
this.results.push(result);
if (this.runner.NotifyStep) this.runner.NotifyStep(result.benchmark.name);
}
// Notifies the runner that we're done with running a suite and that
// we have a result which can be reported to the user if needed.
BenchmarkSuite.prototype.NotifyResult = function() {
var mean = BenchmarkSuite.GeometricMean(this.results);
var score = this.reference / mean;
BenchmarkSuite.scores.push(score);
if (this.runner.NotifyResult) {
this.runner.NotifyResult(this.name, Math.round(100 * score));
}
}
// Runs a single benchmark for at least a second and computes the
// average time it takes to run a single iteration.
BenchmarkSuite.prototype.RunSingle = function(benchmark) {
var elapsed = 0;
var start = new Date();
for (var n = 0; elapsed < 1000; n++) {
benchmark.run();
elapsed = new Date() - start;
}
var usec = (elapsed * 1000) / n;
this.NotifyStep(new BenchmarkResult(benchmark, usec));
}
// This function starts running a suite, but stops between each
// individual benchmark in the suite and returns a continuation
// function which can be invoked to run the next benchmark. Once the
// last benchmark has been executed, null is returned.
BenchmarkSuite.prototype.RunStep = function(runner) {
this.results = [];
this.runner = runner;
var length = this.benchmarks.length;
var index = 0;
var suite = this;
function RunNext() {
if (index < length) {
suite.RunSingle(suite.benchmarks[index++]);
return RunNext;
}
suite.NotifyResult();
return null;
}
return RunNext();
}
/*
* Copyright (c) 2003-2005 Tom Wu
* All Rights Reserved.
*
* 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" AND WITHOUT WARRANTY OF ANY KIND,
* EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
* WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
*
* IN NO EVENT SHALL TOM WU BE LIABLE FOR ANY SPECIAL, INCIDENTAL,
* INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER
* RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER OR NOT ADVISED OF
* THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF LIABILITY, ARISING OUT
* OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*
* In addition, the following condition applies:
*
* All redistributions must retain an intact copy of this copyright notice
* and disclaimer.
*/
// The code has been adapted for use as a benchmark by Google.
var Crypto = new BenchmarkSuite('Crypto', 203037, [
new Benchmark("Encrypt", encrypt),
new Benchmark("Decrypt", decrypt)
]);
// Basic JavaScript BN library - subset useful for RSA encryption.
// Bits per digit
var dbits;
var BI_DB;
var BI_DM;
var BI_DV;
var BI_FP;
var BI_FV;
var BI_F1;
var BI_F2;
// JavaScript engine analysis
var canary = 0xdeadbeefcafe;
var j_lm = ((canary&0xffffff)==0xefcafe);
// (public) Constructor
function BigInteger(a,b,c) {
this.array = new Array();
if(a != null)
if("number" == typeof a) this.fromNumber(a,b,c);
else if(b == null && "string" != typeof a) this.fromString(a,256);
else this.fromString(a,b);
}
// return new, unset BigInteger
function nbi() { return new BigInteger(null); }
// am: Compute w_j += (x*this_i), propagate carries,
// c is initial carry, returns final carry.
// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
// We need to select the fastest one that works in this environment.
// am1: use a single mult and divide to get the high bits,
// max digit bits should be 26 because
// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
function am1(i,x,w,j,c,n) {
var this_array = this.array;
var w_array = w.array;
while(--n >= 0) {
var v = x*this_array[i++]+w_array[j]+c;
c = Math.floor(v/0x4000000);
w_array[j++] = v&0x3ffffff;
}
return c;
}
// am2 avoids a big mult-and-extract completely.
// Max digit bits should be <= 30 because we do bitwise ops
// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
function am2(i,x,w,j,c,n) {
var this_array = this.array;
var w_array = w.array;
var xl = x&0x7fff, xh = x>>15;
while(--n >= 0) {
var l = this_array[i]&0x7fff;
var h = this_array[i++]>>15;
var m = xh*l+h*xl;
l = xl*l+((m&0x7fff)<<15)+w_array[j]+(c&0x3fffffff);
c = (l>>>30)+(m>>>15)+xh*h+(c>>>30);
w_array[j++] = l&0x3fffffff;
}
return c;
}
// Alternately, set max digit bits to 28 since some
// browsers slow down when dealing with 32-bit numbers.
function am3(i,x,w,j,c,n) {
var this_array = this.array;
var w_array = w.array;
var xl = x&0x3fff, xh = x>>14;
while(--n >= 0) {
var l = this_array[i]&0x3fff;
var h = this_array[i++]>>14;
var m = xh*l+h*xl;
l = xl*l+((m&0x3fff)<<14)+w_array[j]+c;
c = (l>>28)+(m>>14)+xh*h;
w_array[j++] = l&0xfffffff;
}
return c;
}
// This is tailored to VMs with 2-bit tagging. It makes sure
// that all the computations stay within the 29 bits available.
function am4(i,x,w,j,c,n) {
var this_array = this.array;
var w_array = w.array;
var xl = x&0x1fff, xh = x>>13;
while(--n >= 0) {
var l = this_array[i]&0x1fff;
var h = this_array[i++]>>13;
var m = xh*l+h*xl;
l = xl*l+((m&0x1fff)<<13)+w_array[j]+c;
c = (l>>26)+(m>>13)+xh*h;
w_array[j++] = l&0x3ffffff;
}
return c;
}
// am3/28 is best for SM, Rhino, but am4/26 is best for v8.
// Kestrel (Opera 9.5) gets its best result with am4/26.
// IE7 does 9% better with am3/28 than with am4/26.
// Firefox (SM) gets 10% faster with am3/28 than with am4/26.
setupEngine = function(fn, bits) {
BigInteger.prototype.am = fn;
dbits = bits;
BI_DB = dbits;
BI_DM = ((1<<dbits)-1);
BI_DV = (1<<dbits);
BI_FP = 52;
BI_FV = Math.pow(2,BI_FP);
BI_F1 = BI_FP-dbits;
BI_F2 = 2*dbits-BI_FP;
}
// Digit conversions
var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz";
var BI_RC = new Array();
var rr,vv;
rr = "0".charCodeAt(0);
for(vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
rr = "a".charCodeAt(0);
for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
rr = "A".charCodeAt(0);
for(vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
function int2char(n) { return BI_RM.charAt(n); }
function intAt(s,i) {
var c = BI_RC[s.charCodeAt(i)];
return (c==null)?-1:c;
}
// (protected) copy this to r
function bnpCopyTo(r) {
var this_array = this.array;
var r_array = r.array;
for(var i = this.t-1; i >= 0; --i) r_array[i] = this_array[i];
r.t = this.t;
r.s = this.s;
}
// (protected) set from integer value x, -DV <= x < DV
function bnpFromInt(x) {
var this_array = this.array;
this.t = 1;
this.s = (x<0)?-1:0;
if(x > 0) this_array[0] = x;
else if(x < -1) this_array[0] = x+DV;
else this.t = 0;
}
// return bigint initialized to value
function nbv(i) { var r = nbi(); r.fromInt(i); return r; }
// (protected) set from string and radix
function bnpFromString(s,b) {
var this_array = this.array;
var k;
if(b == 16) k = 4;
else if(b == 8) k = 3;
else if(b == 256) k = 8; // byte array
else if(b == 2) k = 1;
else if(b == 32) k = 5;
else if(b == 4) k = 2;
else { this.fromRadix(s,b); return; }
this.t = 0;
this.s = 0;
var i = s.length, mi = false, sh = 0;
while(--i >= 0) {
var x = (k==8)?s[i]&0xff:intAt(s,i);
if(x < 0) {
if(s.charAt(i) == "-") mi = true;
continue;
}
mi = false;
if(sh == 0)
this_array[this.t++] = x;
else if(sh+k > BI_DB) {
this_array[this.t-1] |= (x&((1<<(BI_DB-sh))-1))<<sh;
this_array[this.t++] = (x>>(BI_DB-sh));
}
else
this_array[this.t-1] |= x<<sh;
sh += k;
if(sh >= BI_DB) sh -= BI_DB;
}
if(k == 8 && (s[0]&0x80) != 0) {
this.s = -1;
if(sh > 0) this_array[this.t-1] |= ((1<<(BI_DB-sh))-1)<<sh;
}
this.clamp();
if(mi) BigInteger.ZERO.subTo(this,this);
}
// (protected) clamp off excess high words
function bnpClamp() {
var this_array = this.array;
var c = this.s&BI_DM;
while(this.t > 0 && this_array[this.t-1] == c) --this.t;
}
// (public) return string representation in given radix
function bnToString(b) {
var this_array = this.array;
if(this.s < 0) return "-"+this.negate().toString(b);
var k;
if(b == 16) k = 4;
else if(b == 8) k = 3;
else if(b == 2) k = 1;
else if(b == 32) k = 5;
else if(b == 4) k = 2;
else return this.toRadix(b);
var km = (1<<k)-1, d, m = false, r = "", i = this.t;
var p = BI_DB-(i*BI_DB)%k;
if(i-- > 0) {
if(p < BI_DB && (d = this_array[i]>>p) > 0) { m = true; r = int2char(d); }
while(i >= 0) {
if(p < k) {
d = (this_array[i]&((1<<p)-1))<<(k-p);
d |= this_array[--i]>>(p+=BI_DB-k);
}
else {
d = (this_array[i]>>(p-=k))&km;
if(p <= 0) { p += BI_DB; --i; }
}
if(d > 0) m = true;
if(m) r += int2char(d);
}
}
return m?r:"0";
}
// (public) -this
function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; }
// (public) |this|
function bnAbs() { return (this.s<0)?this.negate():this; }
// (public) return + if this > a, - if this < a, 0 if equal
function bnCompareTo(a) {
var this_array = this.array;
var a_array = a.array;
var r = this.s-a.s;
if(r != 0) return r;
var i = this.t;
r = i-a.t;
if(r != 0) return r;
while(--i >= 0) if((r=this_array[i]-a_array[i]) != 0) return r;
return 0;
}
// returns bit length of the integer x
function nbits(x) {
var r = 1, t;
if((t=x>>>16) != 0) { x = t; r += 16; }
if((t=x>>8) != 0) { x = t; r += 8; }
if((t=x>>4) != 0) { x = t; r += 4; }
if((t=x>>2) != 0) { x = t; r += 2; }
if((t=x>>1) != 0) { x = t; r += 1; }
return r;
}
// (public) return the number of bits in "this"
function bnBitLength() {
var this_array = this.array;
if(this.t <= 0) return 0;
return BI_DB*(this.t-1)+nbits(this_array[this.t-1]^(this.s&BI_DM));
}
// (protected) r = this << n*DB
function bnpDLShiftTo(n,r) {
var this_array = this.array;
var r_array = r.array;
var i;
for(i = this.t-1; i >= 0; --i) r_array[i+n] = this_array[i];
for(i = n-1; i >= 0; --i) r_array[i] = 0;
r.t = this.t+n;
r.s = this.s;
}
// (protected) r = this >> n*DB
function bnpDRShiftTo(n,r) {
var this_array = this.array;
var r_array = r.array;
for(var i = n; i < this.t; ++i) r_array[i-n] = this_array[i];
r.t = Math.max(this.t-n,0);
r.s = this.s;
}
// (protected) r = this << n
function bnpLShiftTo(n,r) {
var this_array = this.array;
var r_array = r.array;
var bs = n%BI_DB;
var cbs = BI_DB-bs;
var bm = (1<<cbs)-1;
var ds = Math.floor(n/BI_DB), c = (this.s<<bs)&BI_DM, i;
for(i = this.t-1; i >= 0; --i) {
r_array[i+ds+1] = (this_array[i]>>cbs)|c;
c = (this_array[i]&bm)<<bs;
}
for(i = ds-1; i >= 0; --i) r_array[i] = 0;
r_array[ds] = c;
r.t = this.t+ds+1;
r.s = this.s;
r.clamp();
}
// (protected) r = this >> n
function bnpRShiftTo(n,r) {
var this_array = this.array;
var r_array = r.array;
r.s = this.s;
var ds = Math.floor(n/BI_DB);
if(ds >= this.t) { r.t = 0; return; }
var bs = n%BI_DB;
var cbs = BI_DB-bs;
var bm = (1<<bs)-1;
r_array[0] = this_array[ds]>>bs;
for(var i = ds+1; i < this.t; ++i) {
r_array[i-ds-1] |= (this_array[i]&bm)<<cbs;
r_array[i-ds] = this_array[i]>>bs;
}
if(bs > 0) r_array[this.t-ds-1] |= (this.s&bm)<<cbs;
r.t = this.t-ds;
r.clamp();
}
// (protected) r = this - a
function bnpSubTo(a,r) {
var this_array = this.array;
var r_array = r.array;
var a_array = a.array;
var i = 0, c = 0, m = Math.min(a.t,this.t);
while(i < m) {
c += this_array[i]-a_array[i];
r_array[i++] = c&BI_DM;
c >>= BI_DB;
}
if(a.t < this.t) {
c -= a.s;
while(i < this.t) {
c += this_array[i];
r_array[i++] = c&BI_DM;
c >>= BI_DB;
}
c += this.s;
}
else {
c += this.s;
while(i < a.t) {
c -= a_array[i];
r_array[i++] = c&BI_DM;
c >>= BI_DB;
}
c -= a.s;
}
r.s = (c<0)?-1:0;
if(c < -1) r_array[i++] = BI_DV+c;
else if(c > 0) r_array[i++] = c;
r.t = i;
r.clamp();
}
// (protected) r = this * a, r != this,a (HAC 14.12)
// "this" should be the larger one if appropriate.
function bnpMultiplyTo(a,r) {
var this_array = this.array;
var r_array = r.array;
var x = this.abs(), y = a.abs();
var y_array = y.array;
var i = x.t;
r.t = i+y.t;
while(--i >= 0) r_array[i] = 0;
for(i = 0; i < y.t; ++i) r_array[i+x.t] = x.am(0,y_array[i],r,i,0,x.t);
r.s = 0;
r.clamp();
if(this.s != a.s) BigInteger.ZERO.subTo(r,r);
}
// (protected) r = this^2, r != this (HAC 14.16)
function bnpSquareTo(r) {
var x = this.abs();
var x_array = x.array;
var r_array = r.array;
var i = r.t = 2*x.t;
while(--i >= 0) r_array[i] = 0;
for(i = 0; i < x.t-1; ++i) {
var c = x.am(i,x_array[i],r,2*i,0,1);
if((r_array[i+x.t]+=x.am(i+1,2*x_array[i],r,2*i+1,c,x.t-i-1)) >= BI_DV) {
r_array[i+x.t] -= BI_DV;
r_array[i+x.t+1] = 1;
}
}
if(r.t > 0) r_array[r.t-1] += x.am(i,x_array[i],r,2*i,0,1);
r.s = 0;
r.clamp();
}
// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
// r != q, this != m. q or r may be null.
function bnpDivRemTo(m,q,r) {
var pm = m.abs();
if(pm.t <= 0) return;
var pt = this.abs();
if(pt.t < pm.t) {
if(q != null) q.fromInt(0);
if(r != null) this.copyTo(r);
return;
}
if(r == null) r = nbi();
var y = nbi(), ts = this.s, ms = m.s;
var pm_array = pm.array;
var nsh = BI_DB-nbits(pm_array[pm.t-1]); // normalize modulus
if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); }
else { pm.copyTo(y); pt.copyTo(r); }
var ys = y.t;
var y_array = y.array;
var y0 = y_array[ys-1];
if(y0 == 0) return;
var yt = y0*(1<<BI_F1)+((ys>1)?y_array[ys-2]>>BI_F2:0);
var d1 = BI_FV/yt, d2 = (1<<BI_F1)/yt, e = 1<<BI_F2;
var i = r.t, j = i-ys, t = (q==null)?nbi():q;
y.dlShiftTo(j,t);
var r_array = r.array;
if(r.compareTo(t) >= 0) {
r_array[r.t++] = 1;
r.subTo(t,r);
}
BigInteger.ONE.dlShiftTo(ys,t);
t.subTo(y,y); // "negative" y so we can replace sub with am later
while(y.t < ys) y_array[y.t++] = 0;
while(--j >= 0) {
// Estimate quotient digit
var qd = (r_array[--i]==y0)?BI_DM:Math.floor(r_array[i]*d1+(r_array[i-1]+e)*d2);
if((r_array[i]+=y.am(0,qd,r,j,0,ys)) < qd) { // Try it out
y.dlShiftTo(j,t);
r.subTo(t,r);
while(r_array[i] < --qd) r.subTo(t,r);
}
}
if(q != null) {
r.drShiftTo(ys,q);
if(ts != ms) BigInteger.ZERO.subTo(q,q);
}
r.t = ys;
r.clamp();
if(nsh > 0) r.rShiftTo(nsh,r); // Denormalize remainder
if(ts < 0) BigInteger.ZERO.subTo(r,r);
}
// (public) this mod a
function bnMod(a) {
var r = nbi();
this.abs().divRemTo(a,null,r);
if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r);
return r;
}
// Modular reduction using "classic" algorithm
function Classic(m) { this.m = m; }
function cConvert(x) {
if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m);
else return x;
}
function cRevert(x) { return x; }
function cReduce(x) { x.divRemTo(this.m,null,x); }
function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
Classic.prototype.convert = cConvert;
Classic.prototype.revert = cRevert;
Classic.prototype.reduce = cReduce;
Classic.prototype.mulTo = cMulTo;
Classic.prototype.sqrTo = cSqrTo;
// (protected) return "-1/this % 2^DB"; useful for Mont. reduction
// justification:
// xy == 1 (mod m)
// xy = 1+km
// xy(2-xy) = (1+km)(1-km)
// x[y(2-xy)] = 1-k^2m^2
// x[y(2-xy)] == 1 (mod m^2)
// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2
// should reduce x and y(2-xy) by m^2 at each step to keep size bounded.
// JS multiply "overflows" differently from C/C++, so care is needed here.
function bnpInvDigit() {
var this_array = this.array;
if(this.t < 1) return 0;
var x = this_array[0];
if((x&1) == 0) return 0;
var y = x&3; // y == 1/x mod 2^2
y = (y*(2-(x&0xf)*y))&0xf; // y == 1/x mod 2^4
y = (y*(2-(x&0xff)*y))&0xff; // y == 1/x mod 2^8
y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff; // y == 1/x mod 2^16
// last step - calculate inverse mod DV directly;
// assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints
y = (y*(2-x*y%BI_DV))%BI_DV; // y == 1/x mod 2^dbits
// we really want the negative inverse, and -DV < y < DV
return (y>0)?BI_DV-y:-y;
}
// Montgomery reduction
function Montgomery(m) {
this.m = m;
this.mp = m.invDigit();
this.mpl = this.mp&0x7fff;
this.mph = this.mp>>15;
this.um = (1<<(BI_DB-15))-1;
this.mt2 = 2*m.t;
}
// xR mod m
function montConvert(x) {
var r = nbi();
x.abs().dlShiftTo(this.m.t,r);
r.divRemTo(this.m,null,r);
if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r);
return r;
}
// x/R mod m
function montRevert(x) {
var r = nbi();
x.copyTo(r);
this.reduce(r);
return r;
}
// x = x/R mod m (HAC 14.32)
function montReduce(x) {
var x_array = x.array;
while(x.t <= this.mt2) // pad x so am has enough room later
x_array[x.t++] = 0;
for(var i = 0; i < this.m.t; ++i) {
// faster way of calculating u0 = x[i]*mp mod DV
var j = x_array[i]&0x7fff;
var u0 = (j*this.mpl+(((j*this.mph+(x_array[i]>>15)*this.mpl)&this.um)<<15))&BI_DM;
// use am to combine the multiply-shift-add into one call
j = i+this.m.t;
x_array[j] += this.m.am(0,u0,x,i,0,this.m.t);
// propagate carry
while(x_array[j] >= BI_DV) { x_array[j] -= BI_DV; x_array[++j]++; }
}
x.clamp();
x.drShiftTo(this.m.t,x);
if(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
}
// r = "x^2/R mod m"; x != r
function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
// r = "xy/R mod m"; x,y != r
function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
Montgomery.prototype.convert = montConvert;
Montgomery.prototype.revert = montRevert;
Montgomery.prototype.reduce = montReduce;
Montgomery.prototype.mulTo = montMulTo;
Montgomery.prototype.sqrTo = montSqrTo;
// (protected) true iff this is even
function bnpIsEven() {
var this_array = this.array;
return ((this.t>0)?(this_array[0]&1):this.s) == 0;
}
// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79)
function bnpExp(e,z) {
if(e > 0xffffffff || e < 1) return BigInteger.ONE;
var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1;
g.copyTo(r);
while(--i >= 0) {
z.sqrTo(r,r2);
if((e&(1<<i)) > 0) z.mulTo(r2,g,r);
else { var t = r; r = r2; r2 = t; }
}
return z.revert(r);
}
// (public) this^e % m, 0 <= e < 2^32
function bnModPowInt(e,m) {
var z;
if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m);
return this.exp(e,z);
}
// protected
BigInteger.prototype.copyTo = bnpCopyTo;
BigInteger.prototype.fromInt = bnpFromInt;
BigInteger.prototype.fromString = bnpFromString;
BigInteger.prototype.clamp = bnpClamp;
BigInteger.prototype.dlShiftTo = bnpDLShiftTo;
BigInteger.prototype.drShiftTo = bnpDRShiftTo;
BigInteger.prototype.lShiftTo = bnpLShiftTo;
BigInteger.prototype.rShiftTo = bnpRShiftTo;
BigInteger.prototype.subTo = bnpSubTo;
BigInteger.prototype.multiplyTo = bnpMultiplyTo;
BigInteger.prototype.squareTo = bnpSquareTo;
BigInteger.prototype.divRemTo = bnpDivRemTo;
BigInteger.prototype.invDigit = bnpInvDigit;
BigInteger.prototype.isEven = bnpIsEven;
BigInteger.prototype.exp = bnpExp;
// public
BigInteger.prototype.toString = bnToString;
BigInteger.prototype.negate = bnNegate;
BigInteger.prototype.abs = bnAbs;
BigInteger.prototype.compareTo = bnCompareTo;
BigInteger.prototype.bitLength = bnBitLength;
BigInteger.prototype.mod = bnMod;
BigInteger.prototype.modPowInt = bnModPowInt;
// "constants"
BigInteger.ZERO = nbv(0);
BigInteger.ONE = nbv(1);
// Copyright (c) 2005 Tom Wu
// All Rights Reserved.
// See "LICENSE" for details.
// Extended JavaScript BN functions, required for RSA private ops.
// (public)
function bnClone() { var r = nbi(); this.copyTo(r); return r; }
// (public) return value as integer
function bnIntValue() {
var this_array = this.array;
if(this.s < 0) {
if(this.t == 1) return this_array[0]-BI_DV;
else if(this.t == 0) return -1;
}
else if(this.t == 1) return this_array[0];
else if(this.t == 0) return 0;
// assumes 16 < DB < 32
return ((this_array[1]&((1<<(32-BI_DB))-1))<<BI_DB)|this_array[0];
}
// (public) return value as byte
function bnByteValue() {
var this_array = this.array;
return (this.t==0)?this.s:(this_array[0]<<24)>>24;
}
// (public) return value as short (assumes DB>=16)
function bnShortValue() {
var this_array = this.array;
return (this.t==0)?this.s:(this_array[0]<<16)>>16;
}
// (protected) return x s.t. r^x < DV
function bnpChunkSize(r) { return Math.floor(Math.LN2*BI_DB/Math.log(r)); }
// (public) 0 if this == 0, 1 if this > 0
function bnSigNum() {
var this_array = this.array;
if(this.s < 0) return -1;
else if(this.t <= 0 || (this.t == 1 && this_array[0] <= 0)) return 0;
else return 1;
}
// (protected) convert to radix string
function bnpToRadix(b) {
if(b == null) b = 10;
if(this.signum() == 0 || b < 2 || b > 36) return "0";
var cs = this.chunkSize(b);
var a = Math.pow(b,cs);
var d = nbv(a), y = nbi(), z = nbi(), r = "";
this.divRemTo(d,y,z);
while(y.signum() > 0) {
r = (a+z.intValue()).toString(b).substr(1) + r;
y.divRemTo(d,y,z);
}
return z.intValue().toString(b) + r;
}
// (protected) convert from radix string
function bnpFromRadix(s,b) {
this.fromInt(0);
if(b == null) b = 10;
var cs = this.chunkSize(b);
var d = Math.pow(b,cs), mi = false, j = 0, w = 0;
for(var i = 0; i < s.length; ++i) {
var x = intAt(s,i);
if(x < 0) {
if(s.charAt(i) == "-" && this.signum() == 0) mi = true;
continue;
}
w = b*w+x;
if(++j >= cs) {
this.dMultiply(d);
this.dAddOffset(w,0);
j = 0;
w = 0;
}
}
if(j > 0) {
this.dMultiply(Math.pow(b,j));
this.dAddOffset(w,0);
}
if(mi) BigInteger.ZERO.subTo(this,this);
}
// (protected) alternate constructor
function bnpFromNumber(a,b,c) {
if("number" == typeof b) {
// new BigInteger(int,int,RNG)
if(a < 2) this.fromInt(1);
else {
this.fromNumber(a,c);
if(!this.testBit(a-1)) // force MSB set
this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this);
if(this.isEven()) this.dAddOffset(1,0); // force odd
while(!this.isProbablePrime(b)) {
this.dAddOffset(2,0);
if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this);
}
}
}
else {
// new BigInteger(int,RNG)
var x = new Array(), t = a&7;
x.length = (a>>3)+1;
b.nextBytes(x);
if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0;
this.fromString(x,256);
}
}
// (public) convert to bigendian byte array
function bnToByteArray() {
var this_array = this.array;
var i = this.t, r = new Array();
r[0] = this.s;
var p = BI_DB-(i*BI_DB)%8, d, k = 0;
if(i-- > 0) {
if(p < BI_DB && (d = this_array[i]>>p) != (this.s&BI_DM)>>p)
r[k++] = d|(this.s<<(BI_DB-p));
while(i >= 0) {
if(p < 8) {
d = (this_array[i]&((1<<p)-1))<<(8-p);
d |= this_array[--i]>>(p+=BI_DB-8);
}
else {
d = (this_array[i]>>(p-=8))&0xff;
if(p <= 0) { p += BI_DB; --i; }
}
if((d&0x80) != 0) d |= -256;
if(k == 0 && (this.s&0x80) != (d&0x80)) ++k;
if(k > 0 || d != this.s) r[k++] = d;
}
}
return r;
}
function bnEquals(a) { return(this.compareTo(a)==0); }
function bnMin(a) { return(this.compareTo(a)<0)?this:a; }
function bnMax(a) { return(this.compareTo(a)>0)?this:a; }
// (protected) r = this op a (bitwise)
function bnpBitwiseTo(a,op,r) {
var this_array = this.array;
var a_array = a.array;
var r_array = r.array;
var i, f, m = Math.min(a.t,this.t);
for(i = 0; i < m; ++i) r_array[i] = op(this_array[i],a_array[i]);
if(a.t < this.t) {
f = a.s&BI_DM;
for(i = m; i < this.t; ++i) r_array[i] = op(this_array[i],f);
r.t = this.t;
}
else {
f = this.s&BI_DM;
for(i = m; i < a.t; ++i) r_array[i] = op(f,a_array[i]);
r.t = a.t;
}
r.s = op(this.s,a.s);
r.clamp();
}
// (public) this & a
function op_and(x,y) { return x&y; }
function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; }
// (public) this | a
function op_or(x,y) { return x|y; }
function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; }
// (public) this ^ a
function op_xor(x,y) { return x^y; }
function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; }
// (public) this & ~a
function op_andnot(x,y) { return x&~y; }
function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; }
// (public) ~this
function bnNot() {
var this_array = this.array;
var r = nbi();
var r_array = r.array;
for(var i = 0; i < this.t; ++i) r_array[i] = BI_DM&~this_array[i];
r.t = this.t;
r.s = ~this.s;
return r;
}
// (public) this << n
function bnShiftLeft(n) {
var r = nbi();
if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r);
return r;
}
// (public) this >> n
function bnShiftRight(n) {
var r = nbi();
if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r);
return r;
}
// return index of lowest 1-bit in x, x < 2^31
function lbit(x) {
if(x == 0) return -1;
var r = 0;
if((x&0xffff) == 0) { x >>= 16; r += 16; }
if((x&0xff) == 0) { x >>= 8; r += 8; }
if((x&0xf) == 0) { x >>= 4; r += 4; }
if((x&3) == 0) { x >>= 2; r += 2; }
if((x&1) == 0) ++r;
return r;
}
// (public) returns index of lowest 1-bit (or -1 if none)
function bnGetLowestSetBit() {
var this_array = this.array;
for(var i = 0; i < this.t; ++i)
if(this_array[i] != 0) return i*BI_DB+lbit(this_array[i]);
if(this.s < 0) return this.t*BI_DB;
return -1;
}
// return number of 1 bits in x
function cbit(x) {
var r = 0;
while(x != 0) { x &= x-1; ++r; }
return r;
}
// (public) return number of set bits
function bnBitCount() {
var r = 0, x = this.s&BI_DM;
for(var i = 0; i < this.t; ++i) r += cbit(this_array[i]^x);
return r;
}
// (public) true iff nth bit is set
function bnTestBit(n) {
var this_array = this.array;
var j = Math.floor(n/BI_DB);
if(j >= this.t) return(this.s!=0);
return((this_array[j]&(1<<(n%BI_DB)))!=0);
}
// (protected) this op (1<<n)
function bnpChangeBit(n,op) {
var r = BigInteger.ONE.shiftLeft(n);
this.bitwiseTo(r,op,r);
return r;
}
// (public) this | (1<<n)
function bnSetBit(n) { return this.changeBit(n,op_or); }
// (public) this & ~(1<<n)
function bnClearBit(n) { return this.changeBit(n,op_andnot); }
// (public) this ^ (1<<n)
function bnFlipBit(n) { return this.changeBit(n,op_xor); }
// (protected) r = this + a
function bnpAddTo(a,r) {
var this_array = this.array;
var a_array = a.array;
var r_array = r.array;
var i = 0, c = 0, m = Math.min(a.t,this.t);
while(i < m) {
c += this_array[i]+a_array[i];
r_array[i++] = c&BI_DM;
c >>= BI_DB;
}
if(a.t < this.t) {
c += a.s;
while(i < this.t) {
c += this_array[i];
r_array[i++] = c&BI_DM;
c >>= BI_DB;
}
c += this.s;
}
else {
c += this.s;
while(i < a.t) {
c += a_array[i];
r_array[i++] = c&BI_DM;
c >>= BI_DB;
}
c += a.s;
}
r.s = (c<0)?-1:0;
if(c > 0) r_array[i++] = c;
else if(c < -1) r_array[i++] = BI_DV+c;
r.t = i;
r.clamp();
}
// (public) this + a
function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; }
// (public) this - a
function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; }
// (public) this * a
function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; }
// (public) this / a
function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; }
// (public) this % a
function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; }
// (public) [this/a,this%a]
function bnDivideAndRemainder(a) {
var q = nbi(), r = nbi();
this.divRemTo(a,q,r);
return new Array(q,r);
}
// (protected) this *= n, this >= 0, 1 < n < DV
function bnpDMultiply(n) {
var this_array = this.array;
this_array[this.t] = this.am(0,n-1,this,0,0,this.t);
++this.t;
this.clamp();
}
// (protected) this += n << w words, this >= 0
function bnpDAddOffset(n,w) {
var this_array = this.array;
while(this.t <= w) this_array[this.t++] = 0;
this_array[w] += n;
while(this_array[w] >= BI_DV) {
this_array[w] -= BI_DV;
if(++w >= this.t) this_array[this.t++] = 0;
++this_array[w];
}
}
// A "null" reducer
function NullExp() {}
function nNop(x) { return x; }
function nMulTo(x,y,r) { x.multiplyTo(y,r); }
function nSqrTo(x,r) { x.squareTo(r); }
NullExp.prototype.convert = nNop;
NullExp.prototype.revert = nNop;
NullExp.prototype.mulTo = nMulTo;
NullExp.prototype.sqrTo = nSqrTo;
// (public) this^e
function bnPow(e) { return this.exp(e,new NullExp()); }
// (protected) r = lower n words of "this * a", a.t <= n
// "this" should be the larger one if appropriate.
function bnpMultiplyLowerTo(a,n,r) {
var r_array = r.array;
var a_array = a.array;
var i = Math.min(this.t+a.t,n);
r.s = 0; // assumes a,this >= 0
r.t = i;
while(i > 0) r_array[--i] = 0;
var j;
for(j = r.t-this.t; i < j; ++i) r_array[i+this.t] = this.am(0,a_array[i],r,i,0,this.t);
for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a_array[i],r,i,0,n-i);
r.clamp();
}
// (protected) r = "this * a" without lower n words, n > 0
// "this" should be the larger one if appropriate.
function bnpMultiplyUpperTo(a,n,r) {
var r_array = r.array;
var a_array = a.array;
--n;
var i = r.t = this.t+a.t-n;
r.s = 0; // assumes a,this >= 0
while(--i >= 0) r_array[i] = 0;
for(i = Math.max(n-this.t,0); i < a.t; ++i)
r_array[this.t+i-n] = this.am(n-i,a_array[i],r,0,0,this.t+i-n);
r.clamp();
r.drShiftTo(1,r);
}
// Barrett modular reduction
function Barrett(m) {
// setup Barrett
this.r2 = nbi();
this.q3 = nbi();
BigInteger.ONE.dlShiftTo(2*m.t,this.r2);
this.mu = this.r2.divide(m);
this.m = m;
}
function barrettConvert(x) {
if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m);
else if(x.compareTo(this.m) < 0) return x;
else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; }
}
function barrettRevert(x) { return x; }
// x = x mod m (HAC 14.42)
function barrettReduce(x) {
x.drShiftTo(this.m.t-1,this.r2);
if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); }
this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3);
this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);
while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1);
x.subTo(this.r2,x);
while(x.compareTo(this.m) >= 0) x.subTo(this.m,x);
}
// r = x^2 mod m; x != r
function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); }
// r = x*y mod m; x,y != r
function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); }
Barrett.prototype.convert = barrettConvert;
Barrett.prototype.revert = barrettRevert;
Barrett.prototype.reduce = barrettReduce;
Barrett.prototype.mulTo = barrettMulTo;
Barrett.prototype.sqrTo = barrettSqrTo;
// (public) this^e % m (HAC 14.85)
function bnModPow(e,m) {
var e_array = e.array;
var i = e.bitLength(), k, r = nbv(1), z;
if(i <= 0) return r;
else if(i < 18) k = 1;
else if(i < 48) k = 3;
else if(i < 144) k = 4;
else if(i < 768) k = 5;
else k = 6;
if(i < 8)
z = new Classic(m);
else if(m.isEven())
z = new Barrett(m);
else
z = new Montgomery(m);
// precomputation
var g = new Array(), n = 3, k1 = k-1, km = (1<<k)-1;
g[1] = z.convert(this);
if(k > 1) {
var g2 = nbi();
z.sqrTo(g[1],g2);
while(n <= km) {
g[n] = nbi();
z.mulTo(g2,g[n-2],g[n]);
n += 2;
}
}
var j = e.t-1, w, is1 = true, r2 = nbi(), t;
i = nbits(e_array[j])-1;
while(j >= 0) {
if(i >= k1) w = (e_array[j]>>(i-k1))&km;
else {
w = (e_array[j]&((1<<(i+1))-1))<<(k1-i);
if(j > 0) w |= e_array[j-1]>>(BI_DB+i-k1);
}
n = k;
while((w&1) == 0) { w >>= 1; --n; }
if((i -= n) < 0) { i += BI_DB; --j; }
if(is1) { // ret == 1, don't bother squaring or multiplying it
g[w].copyTo(r);
is1 = false;
}
else {
while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; }
if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; }
z.mulTo(r2,g[w],r);
}
while(j >= 0 && (e_array[j]&(1<<i)) == 0) {
z.sqrTo(r,r2); t = r; r = r2; r2 = t;
if(--i < 0) { i = BI_DB-1; --j; }
}
}
return z.revert(r);
}
// (public) gcd(this,a) (HAC 14.54)
function bnGCD(a) {
var x = (this.s<0)?this.negate():this.clone();
var y = (a.s<0)?a.negate():a.clone();
if(x.compareTo(y) < 0) { var t = x; x = y; y = t; }
var i = x.getLowestSetBit(), g = y.getLowestSetBit();
if(g < 0) return x;
if(i < g) g = i;
if(g > 0) {
x.rShiftTo(g,x);
y.rShiftTo(g,y);
}
while(x.signum() > 0) {
if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x);
if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y);
if(x.compareTo(y) >= 0) {
x.subTo(y,x);
x.rShiftTo(1,x);
}
else {
y.subTo(x,y);
y.rShiftTo(1,y);
}
}
if(g > 0) y.lShiftTo(g,y);
return y;
}
// (protected) this % n, n < 2^26
function bnpModInt(n) {
var this_array = this.array;
if(n <= 0) return 0;
var d = BI_DV%n, r = (this.s<0)?n-1:0;
if(this.t > 0)
if(d == 0) r = this_array[0]%n;
else for(var i = this.t-1; i >= 0; --i) r = (d*r+this_array[i])%n;
return r;
}
// (public) 1/this % m (HAC 14.61)
function bnModInverse(m) {
var ac = m.isEven();
if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO;
var u = m.clone(), v = this.clone();
var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1);
while(u.signum() != 0) {
while(u.isEven()) {
u.rShiftTo(1,u);
if(ac) {
if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); }
a.rShiftTo(1,a);
}
else if(!b.isEven()) b.subTo(m,b);
b.rShiftTo(1,b);
}
while(v.isEven()) {
v.rShiftTo(1,v);
if(ac) {
if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); }
c.rShiftTo(1,c);
}
else if(!d.isEven()) d.subTo(m,d);
d.rShiftTo(1,d);
}
if(u.compareTo(v) >= 0) {
u.subTo(v,u);
if(ac) a.subTo(c,a);
b.subTo(d,b);
}
else {
v.subTo(u,v);
if(ac) c.subTo(a,c);
d.subTo(b,d);
}
}
if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO;
if(d.compareTo(m) >= 0) return d.subtract(m);
if(d.signum() < 0) d.addTo(m,d); else return d;
if(d.signum() < 0) return d.add(m); else return d;
}
var lowprimes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509];
var lplim = (1<<26)/lowprimes[lowprimes.length-1];
// (public) test primality with certainty >= 1-.5^t
function bnIsProbablePrime(t) {
var i, x = this.abs();
var x_array = x.array;
if(x.t == 1 && x_array[0] <= lowprimes[lowprimes.length-1]) {
for(i = 0; i < lowprimes.length; ++i)
if(x_array[0] == lowprimes[i]) return true;
return false;
}
if(x.isEven()) return false;
i = 1;
while(i < lowprimes.length) {
var m = lowprimes[i], j = i+1;
while(j < lowprimes.length && m < lplim) m *= lowprimes[j++];
m = x.modInt(m);
while(i < j) if(m%lowprimes[i++] == 0) return false;
}
return x.millerRabin(t);
}
// (protected) true if probably prime (HAC 4.24, Miller-Rabin)
function bnpMillerRabin(t) {
var n1 = this.subtract(BigInteger.ONE);
var k = n1.getLowestSetBit();
if(k <= 0) return false;
var r = n1.shiftRight(k);
t = (t+1)>>1;
if(t > lowprimes.length) t = lowprimes.length;
var a = nbi();
for(var i = 0; i < t; ++i) {
a.fromInt(lowprimes[i]);
var y = a.modPow(r,this);
if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) {
var j = 1;
while(j++ < k && y.compareTo(n1) != 0) {
y = y.modPowInt(2,this);
if(y.compareTo(BigInteger.ONE) == 0) return false;
}
if(y.compareTo(n1) != 0) return false;
}
}
return true;
}
// protected
BigInteger.prototype.chunkSize = bnpChunkSize;
BigInteger.prototype.toRadix = bnpToRadix;
BigInteger.prototype.fromRadix = bnpFromRadix;
BigInteger.prototype.fromNumber = bnpFromNumber;
BigInteger.prototype.bitwiseTo = bnpBitwiseTo;
BigInteger.prototype.changeBit = bnpChangeBit;
BigInteger.prototype.addTo = bnpAddTo;
BigInteger.prototype.dMultiply = bnpDMultiply;
BigInteger.prototype.dAddOffset = bnpDAddOffset;
BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo;
BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo;
BigInteger.prototype.modInt = bnpModInt;
BigInteger.prototype.millerRabin = bnpMillerRabin;
// public
BigInteger.prototype.clone = bnClone;
BigInteger.prototype.intValue = bnIntValue;
BigInteger.prototype.byteValue = bnByteValue;
BigInteger.prototype.shortValue = bnShortValue;
BigInteger.prototype.signum = bnSigNum;
BigInteger.prototype.toByteArray = bnToByteArray;
BigInteger.prototype.equals = bnEquals;
BigInteger.prototype.min = bnMin;
BigInteger.prototype.max = bnMax;
BigInteger.prototype.and = bnAnd;
BigInteger.prototype.or = bnOr;
BigInteger.prototype.xor = bnXor;
BigInteger.prototype.andNot = bnAndNot;
BigInteger.prototype.not = bnNot;
BigInteger.prototype.shiftLeft = bnShiftLeft;
BigInteger.prototype.shiftRight = bnShiftRight;
BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit;
BigInteger.prototype.bitCount = bnBitCount;
BigInteger.prototype.testBit = bnTestBit;
BigInteger.prototype.setBit = bnSetBit;
BigInteger.prototype.clearBit = bnClearBit;
BigInteger.prototype.flipBit = bnFlipBit;
BigInteger.prototype.add = bnAdd;
BigInteger.prototype.subtract = bnSubtract;
BigInteger.prototype.multiply = bnMultiply;
BigInteger.prototype.divide = bnDivide;
BigInteger.prototype.remainder = bnRemainder;
BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder;
BigInteger.prototype.modPow = bnModPow;
BigInteger.prototype.modInverse = bnModInverse;
BigInteger.prototype.pow = bnPow;
BigInteger.prototype.gcd = bnGCD;
BigInteger.prototype.isProbablePrime = bnIsProbablePrime;
// BigInteger interfaces not implemented in jsbn:
// BigInteger(int signum, byte[] magnitude)
// double doubleValue()
// float floatValue()
// int hashCode()
// long longValue()
// static BigInteger valueOf(long val)
// prng4.js - uses Arcfour as a PRNG
function Arcfour() {
this.i = 0;
this.j = 0;
this.S = new Array();
}
// Initialize arcfour context from key, an array of ints, each from [0..255]
function ARC4init(key) {
var i, j, t;
for(i = 0; i < 256; ++i)
this.S[i] = i;
j = 0;
for(i = 0; i < 256; ++i) {
j = (j + this.S[i] + key[i % key.length]) & 255;
t = this.S[i];
this.S[i] = this.S[j];
this.S[j] = t;
}
this.i = 0;
this.j = 0;
}
function ARC4next() {
var t;
this.i = (this.i + 1) & 255;
this.j = (this.j + this.S[this.i]) & 255;
t = this.S[this.i];
this.S[this.i] = this.S[this.j];
this.S[this.j] = t;
return this.S[(t + this.S[this.i]) & 255];
}
Arcfour.prototype.init = ARC4init;
Arcfour.prototype.next = ARC4next;
// Plug in your RNG constructor here
function prng_newstate() {
return new Arcfour();
}
// Pool size must be a multiple of 4 and greater than 32.
// An array of bytes the size of the pool will be passed to init()
var rng_psize = 256;
// Random number generator - requires a PRNG backend, e.g. prng4.js
// For best results, put code like
// <body onClick='rng_seed_time();' onKeyPress='rng_seed_time();'>
// in your main HTML document.
var rng_state;
var rng_pool;
var rng_pptr;
// Mix in a 32-bit integer into the pool
function rng_seed_int(x) {
rng_pool[rng_pptr++] ^= x & 255;
rng_pool[rng_pptr++] ^= (x >> 8) & 255;
rng_pool[rng_pptr++] ^= (x >> 16) & 255;
rng_pool[rng_pptr++] ^= (x >> 24) & 255;
if(rng_pptr >= rng_psize) rng_pptr -= rng_psize;
}
// Mix in the current time (w/milliseconds) into the pool
function rng_seed_time() {
rng_seed_int(new Date().getTime());
}
// Initialize the pool with junk if needed.
if(rng_pool == null) {
rng_pool = new Array();
rng_pptr = 0;
var t;
while(rng_pptr < rng_psize) { // extract some randomness from Math.random()
t = Math.floor(65536 * Math.random());
rng_pool[rng_pptr++] = t >>> 8;
rng_pool[rng_pptr++] = t & 255;
}
rng_pptr = 0;
rng_seed_time();
//rng_seed_int(window.screenX);
//rng_seed_int(window.screenY);
}
function rng_get_byte() {
if(rng_state == null) {
rng_seed_time();
rng_state = prng_newstate();
rng_state.init(rng_pool);
for(rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr)
rng_pool[rng_pptr] = 0;
rng_pptr = 0;
//rng_pool = null;
}
// TODO: allow reseeding after first request
return rng_state.next();
}
function rng_get_bytes(ba) {
var i;
for(i = 0; i < ba.length; ++i) ba[i] = rng_get_byte();
}
function SecureRandom() {}
SecureRandom.prototype.nextBytes = rng_get_bytes;
// Depends on jsbn.js and rng.js
// convert a (hex) string to a bignum object
function parseBigInt(str,r) {
return new BigInteger(str,r);
}
function linebrk(s,n) {
var ret = "";
var i = 0;
while(i + n < s.length) {
ret += s.substring(i,i+n) + "\n";
i += n;
}
return ret + s.substring(i,s.length);
}
function byte2Hex(b) {
if(b < 0x10)
return "0" + b.toString(16);
else
return b.toString(16);
}
// PKCS#1 (type 2, random) pad input string s to n bytes, and return a bigint
function pkcs1pad2(s,n) {
if(n < s.length + 11) {
alert("Message too long for RSA");
return null;
}
var ba = new Array();
var i = s.length - 1;
while(i >= 0 && n > 0) ba[--n] = s.charCodeAt(i--);
ba[--n] = 0;
var rng = new SecureRandom();
var x = new Array();
while(n > 2) { // random non-zero pad
x[0] = 0;
while(x[0] == 0) rng.nextBytes(x);
ba[--n] = x[0];
}
ba[--n] = 2;
ba[--n] = 0;
return new BigInteger(ba);
}
// "empty" RSA key constructor
function RSAKey() {
this.n = null;
this.e = 0;
this.d = null;
this.p = null;
this.q = null;
this.dmp1 = null;
this.dmq1 = null;
this.coeff = null;
}
// Set the public key fields N and e from hex strings
function RSASetPublic(N,E) {
if(N != null && E != null && N.length > 0 && E.length > 0) {
this.n = parseBigInt(N,16);
this.e = parseInt(E,16);
}
else
alert("Invalid RSA public key");
}
// Perform raw public operation on "x": return x^e (mod n)
function RSADoPublic(x) {
return x.modPowInt(this.e, this.n);
}
// Return the PKCS#1 RSA encryption of "text" as an even-length hex string
function RSAEncrypt(text) {
var m = pkcs1pad2(text,(this.n.bitLength()+7)>>3);
if(m == null) return null;
var c = this.doPublic(m);
if(c == null) return null;
var h = c.toString(16);
if((h.length & 1) == 0) return h; else return "0" + h;
}
// Return the PKCS#1 RSA encryption of "text" as a Base64-encoded string
//function RSAEncryptB64(text) {
// var h = this.encrypt(text);
// if(h) return hex2b64(h); else return null;
//}
// protected
RSAKey.prototype.doPublic = RSADoPublic;
// public
RSAKey.prototype.setPublic = RSASetPublic;
RSAKey.prototype.encrypt = RSAEncrypt;
//RSAKey.prototype.encrypt_b64 = RSAEncryptB64;
// Depends on rsa.js and jsbn2.js
// Undo PKCS#1 (type 2, random) padding and, if valid, return the plaintext
function pkcs1unpad2(d,n) {
var b = d.toByteArray();
var i = 0;
while(i < b.length && b[i] == 0) ++i;
if(b.length-i != n-1 || b[i] != 2)
return null;
++i;
while(b[i] != 0)
if(++i >= b.length) return null;
var ret = "";
while(++i < b.length)
ret += String.fromCharCode(b[i]);
return ret;
}
// Set the private key fields N, e, and d from hex strings
function RSASetPrivate(N,E,D) {
if(N != null && E != null && N.length > 0 && E.length > 0) {
this.n = parseBigInt(N,16);
this.e = parseInt(E,16);
this.d = parseBigInt(D,16);
}
else
alert("Invalid RSA private key");
}
// Set the private key fields N, e, d and CRT params from hex strings
function RSASetPrivateEx(N,E,D,P,Q,DP,DQ,C) {
if(N != null && E != null && N.length > 0 && E.length > 0) {
this.n = parseBigInt(N,16);
this.e = parseInt(E,16);
this.d = parseBigInt(D,16);
this.p = parseBigInt(P,16);
this.q = parseBigInt(Q,16);
this.dmp1 = parseBigInt(DP,16);
this.dmq1 = parseBigInt(DQ,16);
this.coeff = parseBigInt(C,16);
}
else
alert("Invalid RSA private key");
}
// Generate a new random private key B bits long, using public expt E
function RSAGenerate(B,E) {
var rng = new SecureRandom();
var qs = B>>1;
this.e = parseInt(E,16);
var ee = new BigInteger(E,16);
for(;;) {
for(;;) {
this.p = new BigInteger(B-qs,1,rng);
if(this.p.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.p.isProbablePrime(10)) break;
}
for(;;) {
this.q = new BigInteger(qs,1,rng);
if(this.q.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.q.isProbablePrime(10)) break;
}
if(this.p.compareTo(this.q) <= 0) {
var t = this.p;
this.p = this.q;
this.q = t;
}
var p1 = this.p.subtract(BigInteger.ONE);
var q1 = this.q.subtract(BigInteger.ONE);
var phi = p1.multiply(q1);
if(phi.gcd(ee).compareTo(BigInteger.ONE) == 0) {
this.n = this.p.multiply(this.q);
this.d = ee.modInverse(phi);
this.dmp1 = this.d.mod(p1);
this.dmq1 = this.d.mod(q1);
this.coeff = this.q.modInverse(this.p);
break;
}
}
}
// Perform raw private operation on "x": return x^d (mod n)
function RSADoPrivate(x) {
if(this.p == null || this.q == null)
return x.modPow(this.d, this.n);
// TODO: re-calculate any missing CRT params
var xp = x.mod(this.p).modPow(this.dmp1, this.p);
var xq = x.mod(this.q).modPow(this.dmq1, this.q);
while(xp.compareTo(xq) < 0)
xp = xp.add(this.p);
return xp.subtract(xq).multiply(this.coeff).mod(this.p).multiply(this.q).add(xq);
}
// Return the PKCS#1 RSA decryption of "ctext".
// "ctext" is an even-length hex string and the output is a plain string.
function RSADecrypt(ctext) {
var c = parseBigInt(ctext, 16);
var m = this.doPrivate(c);
if(m == null) return null;
return pkcs1unpad2(m, (this.n.bitLength()+7)>>3);
}
// Return the PKCS#1 RSA decryption of "ctext".
// "ctext" is a Base64-encoded string and the output is a plain string.
//function RSAB64Decrypt(ctext) {
// var h = b64tohex(ctext);
// if(h) return this.decrypt(h); else return null;
//}
// protected
RSAKey.prototype.doPrivate = RSADoPrivate;
// public
RSAKey.prototype.setPrivate = RSASetPrivate;
RSAKey.prototype.setPrivateEx = RSASetPrivateEx;
RSAKey.prototype.generate = RSAGenerate;
RSAKey.prototype.decrypt = RSADecrypt;
//RSAKey.prototype.b64_decrypt = RSAB64Decrypt;
nValue="a5261939975948bb7a58dffe5ff54e65f0498f9175f5a09288810b8975871e99af3b5dd94057b0fc07535f5f97444504fa35169d461d0d30cf0192e307727c065168c788771c561a9400fb49175e9e6aa4e23fe11af69e9412dd23b0cb6684c4c2429bce139e848ab26d0829073351f4acd36074eafd036a5eb83359d2a698d3";
eValue="10001";
dValue="8e9912f6d3645894e8d38cb58c0db81ff516cf4c7e5a14c7f1eddb1459d2cded4d8d293fc97aee6aefb861859c8b6a3d1dfe710463e1f9ddc72048c09751971c4a580aa51eb523357a3cc48d31cfad1d4a165066ed92d4748fb6571211da5cb14bc11b6e2df7c1a559e6d5ac1cd5c94703a22891464fba23d0d965086277a161";
pValue="d090ce58a92c75233a6486cb0a9209bf3583b64f540c76f5294bb97d285eed33aec220bde14b2417951178ac152ceab6da7090905b478195498b352048f15e7d";
qValue="cab575dc652bb66df15a0359609d51d1db184750c00c6698b90ef3465c99655103edbf0d54c56aec0ce3c4d22592338092a126a0cc49f65a4a30d222b411e58f";
dmp1Value="1a24bca8e273df2f0e47c199bbf678604e7df7215480c77c8db39f49b000ce2cf7500038acfff5433b7d582a01f1826e6f4d42e1c57f5e1fef7b12aabc59fd25";
dmq1Value="3d06982efbbe47339e1f6d36b1216b8a741d410b0c662f54f7118b27b9a4ec9d914337eb39841d8666f3034408cf94f5b62f11c402fc994fe15a05493150d9fd";
coeffValue="3a3e731acd8960b7ff9eb81a7ff93bd1cfa74cbd56987db58b4594fb09c09084db1734c8143f98b602b981aaa9243ca28deb69b5b280ee8dcee0fd2625e53250";
setupEngine(am3, 28);
var RSA = new RSAKey();
var TEXT = "The quick brown fox jumped over the extremely lazy frogs!";
RSA.setPublic(nValue, eValue);
RSA.setPrivateEx(nValue, eValue, dValue, pValue, qValue, dmp1Value, dmq1Value, coeffValue);
function encrypt() {
return RSA.encrypt(TEXT);
}
function decrypt() {
return RSA.decrypt(TEXT);
}
// Copyright 2008 Google Inc. All Rights Reserved.
// Copyright 1996 John Maloney and Mario Wolczko.
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
// This implementation of the DeltaBlue benchmark is derived
// from the Smalltalk implementation by John Maloney and Mario
// Wolczko. Some parts have been translated directly, whereas
// others have been modified more aggresively to make it feel
// more like a JavaScript program.
var DeltaBlue = new BenchmarkSuite('DeltaBlue', 71104, [
new Benchmark('DeltaBlue', deltaBlue)
]);
/**
* A JavaScript implementation of the DeltaBlue constrain-solving
* algorithm, as described in:
*
* "The DeltaBlue Algorithm: An Incremental Constraint Hierarchy Solver"
* Bjorn N. Freeman-Benson and John Maloney
* January 1990 Communications of the ACM,
* also available as University of Washington TR 89-08-06.
*
* Beware: this benchmark is written in a grotesque style where
* the constraint model is built by side-effects from constructors.
* I've kept it this way to avoid deviating too much from the original
* implementation.
*/
/* --- O b j e c t M o d e l --- */
Object.prototype.inherits = function (shuper) {
function Inheriter() { }
Inheriter.prototype = shuper.prototype;
this.prototype = new Inheriter();
this.superConstructor = shuper;
}
function OrderedCollection() {
this.elms = new Array();
}
OrderedCollection.prototype.add = function (elm) {
this.elms.push(elm);
}
OrderedCollection.prototype.at = function (index) {
return this.elms[index];
}
OrderedCollection.prototype.size = function () {
return this.elms.length;
}
OrderedCollection.prototype.removeFirst = function () {
return this.elms.pop();
}
OrderedCollection.prototype.remove = function (elm) {
var index = 0, skipped = 0;
for (var i = 0; i < this.elms.length; i++) {
var value = this.elms[i];
if (value != elm) {
this.elms[index] = value;
index++;
} else {
skipped++;
}
}
for (var i = 0; i < skipped; i++)
this.elms.pop();
}
/* --- *
* S t r e n g t h
* --- */
/**
* Strengths are used to measure the relative importance of constraints.
* New strengths may be inserted in the strength hierarchy without
* disrupting current constraints. Strengths cannot be created outside
* this class, so pointer comparison can be used for value comparison.
*/
function Strength(strengthValue, name) {
this.strengthValue = strengthValue;
this.name = name;
}
Strength.stronger = function (s1, s2) {
return s1.strengthValue < s2.strengthValue;
}
Strength.weaker = function (s1, s2) {
return s1.strengthValue > s2.strengthValue;
}
Strength.weakestOf = function (s1, s2) {
return this.weaker(s1, s2) ? s1 : s2;
}
Strength.strongest = function (s1, s2) {
return this.stronger(s1, s2) ? s1 : s2;
}
Strength.prototype.nextWeaker = function () {
switch (this.strengthValue) {
case 0: return Strength.WEAKEST;
case 1: return Strength.WEAK_DEFAULT;
case 2: return Strength.NORMAL;
case 3: return Strength.STRONG_DEFAULT;
case 4: return Strength.PREFERRED;
case 5: return Strength.REQUIRED;
}
}
// Strength constants.
Strength.REQUIRED = new Strength(0, "required");
Strength.STONG_PREFERRED = new Strength(1, "strongPreferred");
Strength.PREFERRED = new Strength(2, "preferred");
Strength.STRONG_DEFAULT = new Strength(3, "strongDefault");
Strength.NORMAL = new Strength(4, "normal");
Strength.WEAK_DEFAULT = new Strength(5, "weakDefault");
Strength.WEAKEST = new Strength(6, "weakest");
/* --- *
* C o n s t r a i n t
* --- */
/**
* An abstract class representing a system-maintainable relationship
* (or "constraint") between a set of variables. A constraint supplies
* a strength instance variable; concrete subclasses provide a means
* of storing the constrained variables and other information required
* to represent a constraint.
*/
function Constraint(strength) {
this.strength = strength;
}
/**
* Activate this constraint and attempt to satisfy it.
*/
Constraint.prototype.addConstraint = function () {
this.addToGraph();
planner.incrementalAdd(this);
}
/**
* Attempt to find a way to enforce this constraint. If successful,
* record the solution, perhaps modifying the current dataflow
* graph. Answer the constraint that this constraint overrides, if
* there is one, or nil, if there isn't.
* Assume: I am not already satisfied.
*/
Constraint.prototype.satisfy = function (mark) {
this.chooseMethod(mark);
if (!this.isSatisfied()) {
if (this.strength == Strength.REQUIRED)
alert("Could not satisfy a required constraint!");
return null;
}
this.markInputs(mark);
var out = this.output();
var overridden = out.determinedBy;
if (overridden != null) overridden.markUnsatisfied();
out.determinedBy = this;
if (!planner.addPropagate(this, mark))
alert("Cycle encountered");
out.mark = mark;
return overridden;
}
Constraint.prototype.destroyConstraint = function () {
if (this.isSatisfied()) planner.incrementalRemove(this);
else this.removeFromGraph();
}
/**
* Normal constraints are not input constraints. An input constraint
* is one that depends on external state, such as the mouse, the
* keybord, a clock, or some arbitraty piece of imperative code.
*/
Constraint.prototype.isInput = function () {
return false;
}
/* --- *
* U n a r y C o n s t r a i n t
* --- */
/**
* Abstract superclass for constraints having a single possible output
* variable.
*/
function UnaryConstraint(v, strength) {
UnaryConstraint.superConstructor.call(this, strength);
this.myOutput = v;
this.satisfied = false;
this.addConstraint();
}
UnaryConstraint.inherits(Constraint);
/**
* Adds this constraint to the constraint graph
*/
UnaryConstraint.prototype.addToGraph = function () {
this.myOutput.addConstraint(this);
this.satisfied = false;
}
/**
* Decides if this constraint can be satisfied and records that
* decision.
*/
UnaryConstraint.prototype.chooseMethod = function (mark) {
this.satisfied = (this.myOutput.mark != mark)
&& Strength.stronger(this.strength, this.myOutput.walkStrength);
}
/**
* Returns true if this constraint is satisfied in the current solution.
*/
UnaryConstraint.prototype.isSatisfied = function () {
return this.satisfied;
}
UnaryConstraint.prototype.markInputs = function (mark) {
// has no inputs
}
/**
* Returns the current output variable.
*/
UnaryConstraint.prototype.output = function () {
return this.myOutput;
}
/**
* Calculate the walkabout strength, the stay flag, and, if it is
* 'stay', the value for the current output of this constraint. Assume
* this constraint is satisfied.
*/
UnaryConstraint.prototype.recalculate = function () {
this.myOutput.walkStrength = this.strength;
this.myOutput.stay = !this.isInput();
if (this.myOutput.stay) this.execute(); // Stay optimization
}
/**
* Records that this constraint is unsatisfied
*/
UnaryConstraint.prototype.markUnsatisfied = function () {
this.satisfied = false;
}
UnaryConstraint.prototype.inputsKnown = function () {
return true;
}
UnaryConstraint.prototype.removeFromGraph = function () {
if (this.myOutput != null) this.myOutput.removeConstraint(this);
this.satisfied = false;
}
/* --- *
* S t a y C o n s t r a i n t
* --- */
/**
* Variables that should, with some level of preference, stay the same.
* Planners may exploit the fact that instances, if satisfied, will not
* change their output during plan execution. This is called "stay
* optimization".
*/
function StayConstraint(v, str) {
StayConstraint.superConstructor.call(this, v, str);
}
StayConstraint.inherits(UnaryConstraint);
StayConstraint.prototype.execute = function () {
// Stay constraints do nothing
}
/* --- *
* E d i t C o n s t r a i n t
* --- */
/**
* A unary input constraint used to mark a variable that the client
* wishes to change.
*/
function EditConstraint(v, str) {
EditConstraint.superConstructor.call(this, v, str);
}
EditConstraint.inherits(UnaryConstraint);
/**
* Edits indicate that a variable is to be changed by imperative code.
*/
EditConstraint.prototype.isInput = function () {
return true;
}
EditConstraint.prototype.execute = function () {
// Edit constraints do nothing
}
/* --- *
* B i n a r y C o n s t r a i n t
* --- */
var Direction = new Object();
Direction.NONE = 0;
Direction.FORWARD = 1;
Direction.BACKWARD = -1;
/**
* Abstract superclass for constraints having two possible output
* variables.
*/
function BinaryConstraint(var1, var2, strength) {
BinaryConstraint.superConstructor.call(this, strength);
this.v1 = var1;
this.v2 = var2;
this.direction = Direction.NONE;
this.addConstraint();
}
BinaryConstraint.inherits(Constraint);
/**
* Decides if this constratint can be satisfied and which way it
* should flow based on the relative strength of the variables related,
* and record that decision.
*/
BinaryConstraint.prototype.chooseMethod = function (mark) {
if (this.v1.mark == mark) {
this.direction = (this.v1.mark != mark && Strength.stronger(this.strength, this.v2.walkStrength))
? Direction.FORWARD
: Direction.NONE;
}
if (this.v2.mark == mark) {
this.direction = (this.v1.mark != mark && Strength.stronger(this.strength, this.v1.walkStrength))
? Direction.BACKWARD
: Direction.NONE;
}
if (Strength.weaker(this.v1.walkStrength, this.v2.walkStrength)) {
this.direction = Strength.stronger(this.strength, this.v1.walkStrength)
? Direction.BACKWARD
: Direction.NONE;
} else {
this.direction = Strength.stronger(this.strength, this.v2.walkStrength)
? Direction.FORWARD
: Direction.BACKWARD
}
}
/**
* Add this constraint to the constraint graph
*/
BinaryConstraint.prototype.addToGraph = function () {
this.v1.addConstraint(this);
this.v2.addConstraint(this);
this.direction = Direction.NONE;
}
/**
* Answer true if this constraint is satisfied in the current solution.
*/
BinaryConstraint.prototype.isSatisfied = function () {
return this.direction != Direction.NONE;
}
/**
* Mark the input variable with the given mark.
*/
BinaryConstraint.prototype.markInputs = function (mark) {
this.input().mark = mark;
}
/**
* Returns the current input variable
*/
BinaryConstraint.prototype.input = function () {
return (this.direction == Direction.FORWARD) ? this.v1 : this.v2;
}
/**
* Returns the current output variable
*/
BinaryConstraint.prototype.output = function () {
return (this.direction == Direction.FORWARD) ? this.v2 : this.v1;
}
/**
* Calculate the walkabout strength, the stay flag, and, if it is
* 'stay', the value for the current output of this
* constraint. Assume this constraint is satisfied.
*/
BinaryConstraint.prototype.recalculate = function () {
var ihn = this.input(), out = this.output();
out.walkStrength = Strength.weakestOf(this.strength, ihn.walkStrength);
out.stay = ihn.stay;
if (out.stay) this.execute();
}
/**
* Record the fact that this constraint is unsatisfied.
*/
BinaryConstraint.prototype.markUnsatisfied = function () {
this.direction = Direction.NONE;
}
BinaryConstraint.prototype.inputsKnown = function (mark) {
var i = this.input();
return i.mark == mark || i.stay || i.determinedBy == null;
}
BinaryConstraint.prototype.removeFromGraph = function () {
if (this.v1 != null) this.v1.removeConstraint(this);
if (this.v2 != null) this.v2.removeConstraint(this);
this.direction = Direction.NONE;
}
/* --- *
* S c a l e C o n s t r a i n t
* --- */
/**
* Relates two variables by the linear scaling relationship: "v2 =
* (v1 * scale) + offset". Either v1 or v2 may be changed to maintain
* this relationship but the scale factor and offset are considered
* read-only.
*/
function ScaleConstraint(src, scale, offset, dest, strength) {
this.direction = Direction.NONE;
this.scale = scale;
this.offset = offset;
ScaleConstraint.superConstructor.call(this, src, dest, strength);
}
ScaleConstraint.inherits(BinaryConstraint);
/**
* Adds this constraint to the constraint graph.
*/
ScaleConstraint.prototype.addToGraph = function () {
ScaleConstraint.superConstructor.prototype.addToGraph.call(this);
this.scale.addConstraint(this);
this.offset.addConstraint(this);
}
ScaleConstraint.prototype.removeFromGraph = function () {
ScaleConstraint.superConstructor.prototype.removeFromGraph.call(this);
if (this.scale != null) this.scale.removeConstraint(this);
if (this.offset != null) this.offset.removeConstraint(this);
}
ScaleConstraint.prototype.markInputs = function (mark) {
ScaleConstraint.superConstructor.prototype.markInputs.call(this, mark);
this.scale.mark = this.offset.mark = mark;
}
/**
* Enforce this constraint. Assume that it is satisfied.
*/
ScaleConstraint.prototype.execute = function () {
if (this.direction == Direction.FORWARD) {
this.v2.value = this.v1.value * this.scale.value + this.offset.value;
} else {
this.v1.value = (this.v2.value - this.offset.value) / this.scale.value;
}
}
/**
* Calculate the walkabout strength, the stay flag, and, if it is
* 'stay', the value for the current output of this constraint. Assume
* this constraint is satisfied.
*/
ScaleConstraint.prototype.recalculate = function () {
var ihn = this.input(), out = this.output();
out.walkStrength = Strength.weakestOf(this.strength, ihn.walkStrength);
out.stay = ihn.stay && this.scale.stay && this.offset.stay;
if (out.stay) this.execute();
}
/* --- *
* E q u a l i t y C o n s t r a i n t
* --- */
/**
* Constrains two variables to have the same value.
*/
function EqualityConstraint(var1, var2, strength) {
EqualityConstraint.superConstructor.call(this, var1, var2, strength);
}
EqualityConstraint.inherits(BinaryConstraint);
/**
* Enforce this constraint. Assume that it is satisfied.
*/
EqualityConstraint.prototype.execute = function () {
this.output().value = this.input().value;
}
/* --- *
* V a r i a b l e
* --- */
/**
* A constrained variable. In addition to its value, it maintain the
* structure of the constraint graph, the current dataflow graph, and
* various parameters of interest to the DeltaBlue incremental
* constraint solver.
**/
function Variable(name, initialValue) {
this.value = initialValue || 0;
this.constraints = new OrderedCollection();
this.determinedBy = null;
this.mark = 0;
this.walkStrength = Strength.WEAKEST;
this.stay = true;
this.name = name;
}
/**
* Add the given constraint to the set of all constraints that refer
* this variable.
*/
Variable.prototype.addConstraint = function (c) {
this.constraints.add(c);
}
/**
* Removes all traces of c from this variable.
*/
Variable.prototype.removeConstraint = function (c) {
this.constraints.remove(c);
if (this.determinedBy == c) this.determinedBy = null;
}
/* --- *
* P l a n n e r
* --- */
/**
* The DeltaBlue planner
*/
function Planner() {
this.currentMark = 0;
}
/**
* Attempt to satisfy the given constraint and, if successful,
* incrementally update the dataflow graph. Details: If satifying
* the constraint is successful, it may override a weaker constraint
* on its output. The algorithm attempts to resatisfy that
* constraint using some other method. This process is repeated
* until either a) it reaches a variable that was not previously
* determined by any constraint or b) it reaches a constraint that
* is too weak to be satisfied using any of its methods. The
* variables of constraints that have been processed are marked with
* a unique mark value so that we know where we've been. This allows
* the algorithm to avoid getting into an infinite loop even if the
* constraint graph has an inadvertent cycle.
*/
Planner.prototype.incrementalAdd = function (c) {
var mark = this.newMark();
var overridden = c.satisfy(mark);
while (overridden != null)
overridden = overridden.satisfy(mark);
}
/**
* Entry point for retracting a constraint. Remove the given
* constraint and incrementally update the dataflow graph.
* Details: Retracting the given constraint may allow some currently
* unsatisfiable downstream constraint to be satisfied. We therefore collect
* a list of unsatisfied downstream constraints and attempt to
* satisfy each one in turn. This list is traversed by constraint
* strength, strongest first, as a heuristic for avoiding
* unnecessarily adding and then overriding weak constraints.
* Assume: c is satisfied.
*/
Planner.prototype.incrementalRemove = function (c) {
var out = c.output();
c.markUnsatisfied();
c.removeFromGraph();
var unsatisfied = this.removePropagateFrom(out);
var strength = Strength.REQUIRED;
do {
for (var i = 0; i < unsatisfied.size(); i++) {
var u = unsatisfied.at(i);
if (u.strength == strength)
this.incrementalAdd(u);
}
strength = strength.nextWeaker();
} while (strength != Strength.WEAKEST);
}
/**
* Select a previously unused mark value.
*/
Planner.prototype.newMark = function () {
return ++this.currentMark;
}
/**
* Extract a plan for resatisfaction starting from the given source
* constraints, usually a set of input constraints. This method
* assumes that stay optimization is desired; the plan will contain
* only constraints whose output variables are not stay. Constraints
* that do no computation, such as stay and edit constraints, are
* not included in the plan.
* Details: The outputs of a constraint are marked when it is added
* to the plan under construction. A constraint may be appended to
* the plan when all its input variables are known. A variable is
* known if either a) the variable is marked (indicating that has
* been computed by a constraint appearing earlier in the plan), b)
* the variable is 'stay' (i.e. it is a constant at plan execution
* time), or c) the variable is not determined by any
* constraint. The last provision is for past states of history
* variables, which are not stay but which are also not computed by
* any constraint.
* Assume: sources are all satisfied.
*/
Planner.prototype.makePlan = function (sources) {
var mark = this.newMark();
var plan = new Plan();
var todo = sources;
while (todo.size() > 0) {
var c = todo.removeFirst();
if (c.output().mark != mark && c.inputsKnown(mark)) {
plan.addConstraint(c);
c.output().mark = mark;
this.addConstraintsConsumingTo(c.output(), todo);
}
}
return plan;
}
/**
* Extract a plan for resatisfying starting from the output of the
* given constraints, usually a set of input constraints.
*/
Planner.prototype.extractPlanFromConstraints = function (constraints) {
var sources = new OrderedCollection();
for (var i = 0; i < constraints.size(); i++) {
var c = constraints.at(i);
if (c.isInput() && c.isSatisfied())
// not in plan already and eligible for inclusion
sources.add(c);
}
return this.makePlan(sources);
}
/**
* Recompute the walkabout strengths and stay flags of all variables
* downstream of the given constraint and recompute the actual
* values of all variables whose stay flag is true. If a cycle is
* detected, remove the given constraint and answer
* false. Otherwise, answer true.
* Details: Cycles are detected when a marked variable is
* encountered downstream of the given constraint. The sender is
* assumed to have marked the inputs of the given constraint with
* the given mark. Thus, encountering a marked node downstream of
* the output constraint means that there is a path from the
* constraint's output to one of its inputs.
*/
Planner.prototype.addPropagate = function (c, mark) {
var todo = new OrderedCollection();
todo.add(c);
while (todo.size() > 0) {
var d = todo.removeFirst();
if (d.output().mark == mark) {
this.incrementalRemove(c);
return false;
}
d.recalculate();
this.addConstraintsConsumingTo(d.output(), todo);
}
return true;
}
/**
* Update the walkabout strengths and stay flags of all variables
* downstream of the given constraint. Answer a collection of
* unsatisfied constraints sorted in order of decreasing strength.
*/
Planner.prototype.removePropagateFrom = function (out) {
out.determinedBy = null;
out.walkStrength = Strength.WEAKEST;
out.stay = true;
var unsatisfied = new OrderedCollection();
var todo = new OrderedCollection();
todo.add(out);
while (todo.size() > 0) {
var v = todo.removeFirst();
for (var i = 0; i < v.constraints.size(); i++) {
var c = v.constraints.at(i);
if (!c.isSatisfied())
unsatisfied.add(c);
}
var determining = v.determinedBy;
for (var i = 0; i < v.constraints.size(); i++) {
var next = v.constraints.at(i);
if (next != determining && next.isSatisfied()) {
next.recalculate();
todo.add(next.output());
}
}
}
return unsatisfied;
}
Planner.prototype.addConstraintsConsumingTo = function (v, coll) {
var determining = v.determinedBy;
var cc = v.constraints;
for (var i = 0; i < cc.size(); i++) {
var c = cc.at(i);
if (c != determining && c.isSatisfied())
coll.add(c);
}
}
/* --- *
* P l a n
* --- */
/**
* A Plan is an ordered list of constraints to be executed in sequence
* to resatisfy all currently satisfiable constraints in the face of
* one or more changing inputs.
*/
function Plan() {
this.v = new OrderedCollection();
}
Plan.prototype.addConstraint = function (c) {
this.v.add(c);
}
Plan.prototype.size = function () {
return this.v.size();
}
Plan.prototype.constraintAt = function (index) {
return this.v.at(index);
}
Plan.prototype.execute = function () {
for (var i = 0; i < this.size(); i++) {
var c = this.constraintAt(i);
c.execute();
}
}
/* --- *
* M a i n
* --- */
/**
* This is the standard DeltaBlue benchmark. A long chain of equality
* constraints is constructed with a stay constraint on one end. An
* edit constraint is then added to the opposite end and the time is
* measured for adding and removing this constraint, and extracting
* and executing a constraint satisfaction plan. There are two cases.
* In case 1, the added constraint is stronger than the stay
* constraint and values must propagate down the entire length of the
* chain. In case 2, the added constraint is weaker than the stay
* constraint so it cannot be accomodated. The cost in this case is,
* of course, very low. Typical situations lie somewhere between these
* two extremes.
*/
function chainTest(n) {
planner = new Planner();
var prev = null, first = null, last = null;
// Build chain of n equality constraints
for (var i = 0; i <= n; i++) {
var name = "v" + i;
var v = new Variable(name);
if (prev != null)
new EqualityConstraint(prev, v, Strength.REQUIRED);
if (i == 0) first = v;
if (i == n) last = v;
prev = v;
}
new StayConstraint(last, Strength.STRONG_DEFAULT);
var edit = new EditConstraint(first, Strength.PREFERRED);
var edits = new OrderedCollection();
edits.add(edit);
var plan = planner.extractPlanFromConstraints(edits);
for (var i = 0; i < 100; i++) {
first.value = i;
plan.execute();
if (last.value != i)
alert("Chain test failed.");
}
}
/**
* This test constructs a two sets of variables related to each
* other by a simple linear transformation (scale and offset). The
* time is measured to change a variable on either side of the
* mapping and to change the scale and offset factors.
*/
function projectionTest(n) {
planner = new Planner();
var scale = new Variable("scale", 10);
var offset = new Variable("offset", 1000);
var src = null, dst = null;
var dests = new OrderedCollection();
for (var i = 0; i < n; i++) {
src = new Variable("src" + i, i);
dst = new Variable("dst" + i, i);
dests.add(dst);
new StayConstraint(src, Strength.NORMAL);
new ScaleConstraint(src, scale, offset, dst, Strength.REQUIRED);
}
change(src, 17);
if (dst.value != 1170) alert("Projection 1 failed");
change(dst, 1050);
if (src.value != 5) alert("Projection 2 failed");
change(scale, 5);
for (var i = 0; i < n - 1; i++) {
if (dests.at(i).value != i * 5 + 1000)
alert("Projection 3 failed");
}
change(offset, 2000);
for (var i = 0; i < n - 1; i++) {
if (dests.at(i).value != i * 5 + 2000)
alert("Projection 4 failed");
}
}
function change(v, newValue) {
var edit = new EditConstraint(v, Strength.PREFERRED);
var edits = new OrderedCollection();
edits.add(edit);
var plan = planner.extractPlanFromConstraints(edits);
for (var i = 0; i < 10; i++) {
v.value = newValue;
plan.execute();
}
edit.destroyConstraint();
}
// Global variable holding the current planner.
var planner = null;
function deltaBlue() {
chainTest(100);
projectionTest(100);
}
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// Copyright 2007 Google Inc. All rights reserved.
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above
// copyright notice, this list of conditions and the following
// disclaimer in the documentation and/or other materials provided
// with the distribution.
// * Neither the name of Google Inc. nor the names of its
// contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
// This is a JavaScript implementation of the Richards
// benchmark from:
//
// http://www.cl.cam.ac.uk/~mr10/Bench.html
//
// The benchmark was originally implemented in BCPL by
// Martin Richards.
var Richards = new BenchmarkSuite('Richards', 34886, [
new Benchmark("Richards", runRichards)
]);
/**
* The Richards benchmark simulates the task dispatcher of an
* operating system.
**/
function runRichards() {
var scheduler = new Scheduler();
scheduler.addIdleTask(ID_IDLE, 0, null, COUNT);
var queue = new Packet(null, ID_WORKER, KIND_WORK);
queue = new Packet(queue, ID_WORKER, KIND_WORK);
scheduler.addWorkerTask(ID_WORKER, 1000, queue);
queue = new Packet(null, ID_DEVICE_A, KIND_DEVICE);
queue = new Packet(queue, ID_DEVICE_A, KIND_DEVICE);
queue = new Packet(queue, ID_DEVICE_A, KIND_DEVICE);
scheduler.addHandlerTask(ID_HANDLER_A, 2000, queue);
queue = new Packet(null, ID_DEVICE_B, KIND_DEVICE);
queue = new Packet(queue, ID_DEVICE_B, KIND_DEVICE);
queue = new Packet(queue, ID_DEVICE_B, KIND_DEVICE);
scheduler.addHandlerTask(ID_HANDLER_B, 3000, queue);
scheduler.addDeviceTask(ID_DEVICE_A, 4000, null);
scheduler.addDeviceTask(ID_DEVICE_B, 5000, null);
scheduler.schedule();
if (scheduler.queueCount != EXPECTED_QUEUE_COUNT ||
scheduler.holdCount != EXPECTED_HOLD_COUNT) {
var msg =
"Error during execution: queueCount = " + scheduler.queueCount +
", holdCount = " + scheduler.holdCount + ".";
print(msg);
}
}
var COUNT = 1000;
/**
* These two constants specify how many times a packet is queued and
* how many times a task is put on hold in a correct run of richards.
* They don't have any meaning a such but are characteristic of a
* correct run so if the actual queue or hold count is different from
* the expected there must be a bug in the implementation.
**/
var EXPECTED_QUEUE_COUNT = 2322;
var EXPECTED_HOLD_COUNT = 928;
/**
* A scheduler can be used to schedule a set of tasks based on their relative
* priorities. Scheduling is done by maintaining a list of task control blocks
* which holds tasks and the data queue they are processing.
* @constructor
*/
function Scheduler() {
this.queueCount = 0;
this.holdCount = 0;
this.blocks = new Array(NUMBER_OF_IDS);
this.list = null;
this.currentTcb = null;
this.currentId = null;
}
var ID_IDLE = 0;
var ID_WORKER = 1;
var ID_HANDLER_A = 2;
var ID_HANDLER_B = 3;
var ID_DEVICE_A = 4;
var ID_DEVICE_B = 5;
var NUMBER_OF_IDS = 6;
var KIND_DEVICE = 0;
var KIND_WORK = 1;
/**
* Add an idle task to this scheduler.
* @param {int} id the identity of the task
* @param {int} priority the task's priority
* @param {Packet} queue the queue of work to be processed by the task
* @param {int} count the number of times to schedule the task
*/
Scheduler.prototype.addIdleTask = function (id, priority, queue, count) {
this.addRunningTask(id, priority, queue, new IdleTask(this, 1, count));
};
/**
* Add a work task to this scheduler.
* @param {int} id the identity of the task
* @param {int} priority the task's priority
* @param {Packet} queue the queue of work to be processed by the task
*/
Scheduler.prototype.addWorkerTask = function (id, priority, queue) {
this.addTask(id, priority, queue, new WorkerTask(this, ID_HANDLER_A, 0));
};
/**
* Add a handler task to this scheduler.
* @param {int} id the identity of the task
* @param {int} priority the task's priority
* @param {Packet} queue the queue of work to be processed by the task
*/
Scheduler.prototype.addHandlerTask = function (id, priority, queue) {
this.addTask(id, priority, queue, new HandlerTask(this));
};
/**
* Add a handler task to this scheduler.
* @param {int} id the identity of the task
* @param {int} priority the task's priority
* @param {Packet} queue the queue of work to be processed by the task
*/
Scheduler.prototype.addDeviceTask = function (id, priority, queue) {
this.addTask(id, priority, queue, new DeviceTask(this))
};
/**
* Add the specified task and mark it as running.
* @param {int} id the identity of the task
* @param {int} priority the task's priority
* @param {Packet} queue the queue of work to be processed by the task
* @param {Task} task the task to add
*/
Scheduler.prototype.addRunningTask = function (id, priority, queue, task) {
this.addTask(id, priority, queue, task);
this.currentTcb.setRunning();
};
/**
* Add the specified task to this scheduler.
* @param {int} id the identity of the task
* @param {int} priority the task's priority
* @param {Packet} queue the queue of work to be processed by the task
* @param {Task} task the task to add
*/
Scheduler.prototype.addTask = function (id, priority, queue, task) {
this.currentTcb = new TaskControlBlock(this.list, id, priority, queue, task);
this.list = this.currentTcb;
this.blocks[id] = this.currentTcb;
};
/**
* Execute the tasks managed by this scheduler.
*/
Scheduler.prototype.schedule = function () {
this.currentTcb = this.list;
while (this.currentTcb != null) {
if (this.currentTcb.isHeldOrSuspended()) {
this.currentTcb = this.currentTcb.link;
} else {
this.currentId = this.currentTcb.id;
this.currentTcb = this.currentTcb.run();
}
}
};
/**
* Release a task that is currently blocked and return the next block to run.
* @param {int} id the id of the task to suspend
*/
Scheduler.prototype.release = function (id) {
var tcb = this.blocks[id];
if (tcb == null) return tcb;
tcb.markAsNotHeld();
if (tcb.priority > this.currentTcb.priority) {
return tcb;
} else {
return this.currentTcb;
}
};
/**
* Block the currently executing task and return the next task control block
* to run. The blocked task will not be made runnable until it is explicitly
* released, even if new work is added to it.
*/
Scheduler.prototype.holdCurrent = function () {
this.holdCount++;
this.currentTcb.markAsHeld();
return this.currentTcb.link;
};
/**
* Suspend the currently executing task and return the next task control block
* to run. If new work is added to the suspended task it will be made runnable.
*/
Scheduler.prototype.suspendCurrent = function () {
this.currentTcb.markAsSuspended();
return this.currentTcb;
};
/**
* Add the specified packet to the end of the worklist used by the task
* associated with the packet and make the task runnable if it is currently
* suspended.
* @param {Packet} packet the packet to add
*/
Scheduler.prototype.queue = function (packet) {
var t = this.blocks[packet.id];
if (t == null) return t;
this.queueCount++;
packet.link = null;
packet.id = this.currentId;
return t.checkPriorityAdd(this.currentTcb, packet);
};
/**
* A task control block manages a task and the queue of work packages associated
* with it.
* @param {TaskControlBlock} link the preceding block in the linked block list
* @param {int} id the id of this block
* @param {int} priority the priority of this block
* @param {Packet} queue the queue of packages to be processed by the task
* @param {Task} task the task
* @constructor
*/
function TaskControlBlock(link, id, priority, queue, task) {
this.link = link;
this.id = id;
this.priority = priority;
this.queue = queue;
this.task = task;
if (queue == null) {
this.state = STATE_SUSPENDED;
} else {
this.state = STATE_SUSPENDED_RUNNABLE;
}
}
/**
* The task is running and is currently scheduled.
*/
var STATE_RUNNING = 0;
/**
* The task has packets left to process.
*/
var STATE_RUNNABLE = 1;
/**
* The task is not currently running. The task is not blocked as such and may
* be started by the scheduler.
*/
var STATE_SUSPENDED = 2;
/**
* The task is blocked and cannot be run until it is explicitly released.
*/
var STATE_HELD = 4;
var STATE_SUSPENDED_RUNNABLE = STATE_SUSPENDED | STATE_RUNNABLE;
var STATE_NOT_HELD = ~STATE_HELD;
TaskControlBlock.prototype.setRunning = function () {
this.state = STATE_RUNNING;
};
TaskControlBlock.prototype.markAsNotHeld = function () {
this.state = this.state & STATE_NOT_HELD;
};
TaskControlBlock.prototype.markAsHeld = function () {
this.state = this.state | STATE_HELD;
};
TaskControlBlock.prototype.isHeldOrSuspended = function () {
return (this.state & STATE_HELD) != 0 || (this.state == STATE_SUSPENDED);
};
TaskControlBlock.prototype.markAsSuspended = function () {
this.state = this.state | STATE_SUSPENDED;
};
TaskControlBlock.prototype.markAsRunnable = function () {
this.state = this.state | STATE_RUNNABLE;
};
/**
* Runs this task, if it is ready to be run, and returns the next task to run.
*/
TaskControlBlock.prototype.run = function () {
var packet;
if (this.state == STATE_SUSPENDED_RUNNABLE) {
packet = this.queue;
this.queue = packet.link;
if (this.queue == null) {
this.state = STATE_RUNNING;
} else {
this.state = STATE_RUNNABLE;
}
} else {
packet = null;
}
return this.task.run(packet);
};
/**
* Adds a packet to the worklist of this block's task, marks this as runnable if
* necessary, and returns the next runnable object to run (the one
* with the highest priority).
*/
TaskControlBlock.prototype.checkPriorityAdd = function (task, packet) {
if (this.queue == null) {
this.queue = packet;
this.markAsRunnable();
if (this.priority > task.priority) return this;
} else {
this.queue = packet.addTo(this.queue);
}
return task;
};
TaskControlBlock.prototype.toString = function () {
return "tcb { " + this.task + "@" + this.state + " }";
};
/**
* An idle task doesn't do any work itself but cycles control between the two
* device tasks.
* @param {Scheduler} scheduler the scheduler that manages this task
* @param {int} v1 a seed value that controls how the device tasks are scheduled
* @param {int} count the number of times this task should be scheduled
* @constructor
*/
function IdleTask(scheduler, v1, count) {
this.scheduler = scheduler;
this.v1 = v1;
this.count = count;
}
IdleTask.prototype.run = function (packet) {
this.count--;
if (this.count == 0) return this.scheduler.holdCurrent();
if ((this.v1 & 1) == 0) {
this.v1 = this.v1 >> 1;
return this.scheduler.release(ID_DEVICE_A);
} else {
this.v1 = (this.v1 >> 1) ^ 0xD008;
return this.scheduler.release(ID_DEVICE_B);
}
};
IdleTask.prototype.toString = function () {
return "IdleTask"
};
/**
* A task that suspends itself after each time it has been run to simulate
* waiting for data from an external device.
* @param {Scheduler} scheduler the scheduler that manages this task
* @constructor
*/
function DeviceTask(scheduler) {
this.scheduler = scheduler;
this.v1 = null;
}
DeviceTask.prototype.run = function (packet) {
if (packet == null) {
if (this.v1 == null) return this.scheduler.suspendCurrent();
var v = this.v1;
this.v1 = null;
return this.scheduler.queue(v);
} else {
this.v1 = packet;
return this.scheduler.holdCurrent();
}
};
DeviceTask.prototype.toString = function () {
return "DeviceTask";
};
/**
* A task that manipulates work packets.
* @param {Scheduler} scheduler the scheduler that manages this task
* @param {int} v1 a seed used to specify how work packets are manipulated
* @param {int} v2 another seed used to specify how work packets are manipulated
* @constructor
*/
function WorkerTask(scheduler, v1, v2) {
this.scheduler = scheduler;
this.v1 = v1;
this.v2 = v2;
}
WorkerTask.prototype.run = function (packet) {
if (packet == null) {
return this.scheduler.suspendCurrent();
} else {
if (this.v1 == ID_HANDLER_A) {
this.v1 = ID_HANDLER_B;
} else {
this.v1 = ID_HANDLER_A;
}
packet.id = this.v1;
packet.a1 = 0;
for (var i = 0; i < DATA_SIZE; i++) {
this.v2++;
if (this.v2 > 26) this.v2 = 1;
packet.a2[i] = this.v2;
}
return this.scheduler.queue(packet);
}
};
WorkerTask.prototype.toString = function () {
return "WorkerTask";
};
/**
* A task that manipulates work packets and then suspends itself.
* @param {Scheduler} scheduler the scheduler that manages this task
* @constructor
*/
function HandlerTask(scheduler) {
this.scheduler = scheduler;
this.v1 = null;
this.v2 = null;
}
HandlerTask.prototype.run = function (packet) {
if (packet != null) {
if (packet.kind == KIND_WORK) {
this.v1 = packet.addTo(this.v1);
} else {
this.v2 = packet.addTo(this.v2);
}
}
if (this.v1 != null) {
var count = this.v1.a1;
var v;
if (count < DATA_SIZE) {
if (this.v2 != null) {
v = this.v2;
this.v2 = this.v2.link;
v.a1 = this.v1.a2[count];
this.v1.a1 = count + 1;
return this.scheduler.queue(v);
}
} else {
v = this.v1;
this.v1 = this.v1.link;
return this.scheduler.queue(v);
}
}
return this.scheduler.suspendCurrent();
};
HandlerTask.prototype.toString = function () {
return "HandlerTask";
};
/* --- *
* P a c k e t
* --- */
var DATA_SIZE = 4;
/**
* A simple package of data that is manipulated by the tasks. The exact layout
* of the payload data carried by a packet is not importaint, and neither is the
* nature of the work performed on packets by the tasks.
*
* Besides carrying data, packets form linked lists and are hence used both as
* data and worklists.
* @param {Packet} link the tail of the linked list of packets
* @param {int} id an ID for this packet
* @param {int} kind the type of this packet
* @constructor
*/
function Packet(link, id, kind) {
this.link = link;
this.id = id;
this.kind = kind;
this.a1 = 0;
this.a2 = new Array(DATA_SIZE);
}
/**
* Add this packet to the end of a worklist, and return the worklist.
* @param {Packet} queue the worklist to add this packet to
*/
Packet.prototype.addTo = function (queue) {
this.link = null;
if (queue == null) return this;
var peek, next = queue;
while ((peek = next.link) != null)
next = peek;
next.link = this;
return queue;
};
Packet.prototype.toString = function () {
return "Packet";
};
<html>
<head>
<title>V8 Benchmark Suite</title>
<script type="text/javascript" src="base.js"></script>
<script type="text/javascript" src="richards.js"></script>
<script type="text/javascript" src="deltablue.js"></script>
<script type="text/javascript" src="crypto.js"></script>
<script type="text/javascript" src="raytrace.js"></script>
<script type="text/javascript" src="earley-boyer.js"></script>
<style>
body {
font-family: sans-serif;
}
hr{
border:1px solid;
border-color:#36C;
margin:1em 0
}
h1,h2,h3,h4{margin-bottom:0}
h1{font-size:160%}
li{
margin:.3em 0 1em 0;
}
body{
font-family: Helvetica,Arial,sans-serif;
font-size: small;
color: #000;
background-color: #fff;
}
div.title {
background-color: rgb(229, 236, 249);
border-top: 1px solid rgb(51, 102, 204);
text-align: center;
padding-top: 0.2em;
padding-bottom: 0.2em;
margin-bottom: 20px;
}
h1 {
margin: 0px;
font-size: 24.5px;
height: 29.35px;
}
td.contents {
text-align: start;
}
div.run {
margin: 20px;
width: 300px;
height: 300px;
float: right;
background-color: rgb(229, 236, 249);
background-image: url(v8-logo.png);
background-position: center center;
background-repeat: no-repeat;
border: 1px solid rgb(51, 102, 204);
}
</style>
<script type="text/javascript">
var completed = 0;
var benchmarks = BenchmarkSuite.CountBenchmarks();
function ShowProgress(name) {
var status = document.getElementById("status");
var percentage = ((++completed) / benchmarks) * 100;
status.innerHTML = "Running: " + Math.round(percentage) + "% completed.";
}
function AddResult(name, result) {
var text = name + ': ' + result;
var results = document.getElementById("results");
results.innerHTML += (text + "<br/>");
}
function AddScore(score) {
var status = document.getElementById("status");
status.innerHTML = "Score: " + score;
}
function Run() {
BenchmarkSuite.RunSuites({ NotifyStep: ShowProgress,
NotifyResult: AddResult,
NotifyScore: AddScore });
}
function Load() {
var version = BenchmarkSuite.version;
document.getElementById("version").innerHTML = version;
window.setTimeout(Run, 200);
}
</script>
</head>
<body onLoad="Load()">
<div>
<div class="title"><h1>V8 Benchmark Suite - version <span id="version">?</span></h1></div>
<table>
<tr>
<td class="contents">
This page contains a suite of pure JavaScript benchmarks that we have
used to tune V8. The final score is computed as the geometric mean of
the individual results to make it independent of the running times of
the individual benchmarks and of a reference system (score
100). Scores are not comparable across benchmark suite versions and
higher scores means better performance: <em>Bigger is better!</em>
<ul>
<li><b>Richards</b><br/>OS kernel simulation benchmark, originally written in BCPL by Martin Richards (<i>539 lines</i>).</li>
<li><b>DeltaBlue</b><br/>One-way constraint solver, originally written in Smalltalk by John Maloney and Mario Wolczko (<i>880 lines</i>).</li>
<li><b>Crypto</b><br/>Encryption and decryption benchmark based on code by Tom Wu (<i>1689 lines</i>).</li>
<li><b>RayTrace</b><br/>Ray tracer benchmark based on code by <a href="http://flog.co.nz/">Adam Burmister</a> (<i>3418 lines</i>).</li>
<li><b>EarleyBoyer</b><br/>Classic Scheme benchmarks, translated to JavaScript by Florian Loitsch's Scheme2Js compiler (<i>4682 lines</i>).</li>
</ul>
</td><td style="text-align: center">
<div class="run">
<div id="status" style="text-align: center; margin-top: 75px; font-size: 120%; font-weight: bold;">Starting...</div>
<div style="text-align: left; margin: 30px 0 0 90px;" id="results">
<div>
</div>
</td></tr></table>
</div>
</body>
</html>
// Copyright 2008 Google Inc. All Rights Reserved.
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above
// copyright notice, this list of conditions and the following
// disclaimer in the documentation and/or other materials provided
// with the distribution.
// * Neither the name of Google Inc. nor the names of its
// contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
load('base.js');
load('richards.js');
load('deltablue.js');
load('crypto.js');
load('raytrace.js');
load('earley-boyer.js');
function PrintResult(name, result) {
print(name + ': ' + result);
}
function PrintScore(score) {
print('----');
print('Score: ' + score);
}
BenchmarkSuite.RunSuites({ NotifyResult: PrintResult,
NotifyScore: PrintScore });
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