Created
September 29, 2018 05:38
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minor-fix
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/+dub.sdl: | |
dependency "mir-random" path="./" | |
+/ | |
import std.algorithm; | |
import std.math; | |
import std.random; | |
import std.range : array, iota, take; | |
import std.stdio; | |
import mir.ndslice.sorting; | |
import mir.random.algorithm; | |
import mir.random.engine.pcg; | |
import mir.random.engine.splitmix; | |
import mir.random.variable; | |
enum n = 30; // sample size | |
enum numTrials = 5_000; | |
auto orderStat(double quantile) | |
{ | |
auto k = cast(int) (quantile * (n+1))-1; | |
if(k < 0) | |
return 0; | |
else if(k >= n) | |
return n-1; | |
else | |
return k; | |
} | |
auto cdf(double x) | |
{ | |
// trivial for uniform(0, 1) | |
return x; | |
// for exponential: | |
// return 1-(exp(lambda * -x)); | |
} | |
version = UsingMir; | |
void main() | |
{ | |
auto quantileFile = File("quantile.txt", "w"); | |
auto quantileDiffFile = File("quantile-diff.txt", "w"); | |
foreach(trialNum; 0 .. numTrials) | |
{ | |
version(UsingMir) | |
{ | |
auto sample = range(UniformVariable!double(0, 1)) | |
.take(n) | |
.array; | |
mir.ndslice.sorting.sort(sample); | |
} | |
else | |
{ | |
auto sample = iota(n).map!(i => uniform!"[]"(0.0, 1.0)).array; | |
std.algorithm.sort(sample); | |
} | |
auto requestedQuantile = uniform!"[]"(0.0, 1.0); | |
auto k = orderStat(requestedQuantile); | |
auto estimatedQuantileValue = sample[k]; | |
auto trueQuantile = cdf(estimatedQuantileValue); | |
quantileFile.writefln("%s %s", requestedQuantile, trueQuantile); | |
quantileDiffFile.writefln("%s %s", requestedQuantile, | |
trueQuantile - requestedQuantile); | |
} | |
} |
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