Beefed up the tests for all of the distributions to include checks against the expected skewness and kurtosis
git-svn-id: https://llvm.org/svn/llvm-project/libcxx/trunk@103910 91177308-0d34-0410-b5e6-96231b3b80d8
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@@ -40,13 +40,29 @@ int main()
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double mean = std::accumulate(u.begin(), u.end(),
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double(0)) / u.size();
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double var = 0;
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double skew = 0;
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double kurtosis = 0;
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for (int i = 0; i < u.size(); ++i)
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var += sqr(u[i] - mean);
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{
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double d = (u[i] - mean);
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double d2 = sqr(d);
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var += d2;
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skew += d * d2;
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kurtosis += d2 * d2;
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}
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var /= u.size();
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double dev = std::sqrt(var);
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skew /= u.size() * dev * var;
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kurtosis /= u.size() * var * var;
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kurtosis -= 3;
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double x_mean = d.p();
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double x_var = d.p()*(1-d.p());
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double x_skew = (1 - 2 * d.p())/std::sqrt(x_var);
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double x_kurtosis = (6 * sqr(d.p()) - 6 * d.p() + 1)/x_var;
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assert(std::abs(mean - x_mean) / x_mean < 0.01);
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assert(std::abs(var - x_var) / x_var < 0.01);
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assert(std::abs(skew - x_skew) / x_skew < 0.01);
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assert(std::abs(kurtosis - x_kurtosis) / x_kurtosis < 0.01);
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}
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{
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typedef std::bernoulli_distribution D;
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@@ -60,12 +76,28 @@ int main()
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double mean = std::accumulate(u.begin(), u.end(),
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double(0)) / u.size();
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double var = 0;
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double skew = 0;
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double kurtosis = 0;
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for (int i = 0; i < u.size(); ++i)
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var += sqr(u[i] - mean);
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{
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double d = (u[i] - mean);
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double d2 = sqr(d);
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var += d2;
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skew += d * d2;
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kurtosis += d2 * d2;
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}
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var /= u.size();
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double dev = std::sqrt(var);
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skew /= u.size() * dev * var;
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kurtosis /= u.size() * var * var;
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kurtosis -= 3;
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double x_mean = d.p();
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double x_var = d.p()*(1-d.p());
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double x_skew = (1 - 2 * d.p())/std::sqrt(x_var);
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double x_kurtosis = (6 * sqr(d.p()) - 6 * d.p() + 1)/x_var;
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assert(std::abs(mean - x_mean) / x_mean < 0.01);
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assert(std::abs(var - x_var) / x_var < 0.01);
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assert(std::abs(skew - x_skew) / x_skew < 0.01);
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assert(std::abs(kurtosis - x_kurtosis) / x_kurtosis < 0.01);
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}
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}
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@@ -42,13 +42,29 @@ int main()
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double mean = std::accumulate(u.begin(), u.end(),
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double(0)) / u.size();
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double var = 0;
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double skew = 0;
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double kurtosis = 0;
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for (int i = 0; i < u.size(); ++i)
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var += sqr(u[i] - mean);
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{
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double d = (u[i] - mean);
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double d2 = sqr(d);
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var += d2;
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skew += d * d2;
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kurtosis += d2 * d2;
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}
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var /= u.size();
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double dev = std::sqrt(var);
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skew /= u.size() * dev * var;
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kurtosis /= u.size() * var * var;
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kurtosis -= 3;
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double x_mean = p.p();
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double x_var = p.p()*(1-p.p());
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double x_skew = (1 - 2 * p.p())/std::sqrt(x_var);
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double x_kurtosis = (6 * sqr(p.p()) - 6 * p.p() + 1)/x_var;
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assert(std::abs(mean - x_mean) / x_mean < 0.01);
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assert(std::abs(var - x_var) / x_var < 0.01);
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assert(std::abs(skew - x_skew) / x_skew < 0.01);
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assert(std::abs(kurtosis - x_kurtosis) / x_kurtosis < 0.01);
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}
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{
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typedef std::bernoulli_distribution D;
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@@ -64,12 +80,28 @@ int main()
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double mean = std::accumulate(u.begin(), u.end(),
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double(0)) / u.size();
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double var = 0;
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double skew = 0;
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double kurtosis = 0;
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for (int i = 0; i < u.size(); ++i)
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var += sqr(u[i] - mean);
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{
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double d = (u[i] - mean);
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double d2 = sqr(d);
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var += d2;
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skew += d * d2;
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kurtosis += d2 * d2;
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}
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var /= u.size();
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double dev = std::sqrt(var);
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skew /= u.size() * dev * var;
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kurtosis /= u.size() * var * var;
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kurtosis -= 3;
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double x_mean = p.p();
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double x_var = p.p()*(1-p.p());
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double x_skew = (1 - 2 * p.p())/std::sqrt(x_var);
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double x_kurtosis = (6 * sqr(p.p()) - 6 * p.p() + 1)/x_var;
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assert(std::abs(mean - x_mean) / x_mean < 0.01);
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assert(std::abs(var - x_var) / x_var < 0.01);
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assert(std::abs(skew - x_skew) / x_skew < 0.01);
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assert(std::abs(kurtosis - x_kurtosis) / x_kurtosis < 0.01);
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}
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}
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