Add reference to Commons Math implementation of InternalErf, fix markdown issues, rename prob package in examples to stat
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package kscience.kmath.commons.prob
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package kscience.kmath.stat
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import kotlinx.coroutines.Dispatchers
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import kotlinx.coroutines.Dispatchers
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import kotlinx.coroutines.async
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import kotlinx.coroutines.async
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import kotlinx.coroutines.runBlocking
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import kotlinx.coroutines.runBlocking
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import kscience.kmath.stat.RandomGenerator
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import kscience.kmath.stat.blocking
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import kscience.kmath.stat.fromSource
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import kscience.kmath.stat.samplers.GaussianSampler
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import kscience.kmath.stat.samplers.GaussianSampler
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import org.apache.commons.rng.simple.RandomSource
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import org.apache.commons.rng.simple.RandomSource
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import java.time.Duration
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import java.time.Duration
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@ -1,4 +1,4 @@
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package kscience.kmath.commons.prob
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package kscience.kmath.stat
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import kotlinx.coroutines.runBlocking
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import kotlinx.coroutines.runBlocking
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import kscience.kmath.chains.Chain
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import kscience.kmath.chains.Chain
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@ -9,6 +9,9 @@ import kscience.kmath.stat.samplers.NormalizedGaussianSampler
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import kscience.kmath.stat.samplers.ZigguratNormalizedGaussianSampler
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import kscience.kmath.stat.samplers.ZigguratNormalizedGaussianSampler
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import kotlin.math.*
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import kotlin.math.*
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/**
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* Implements [UnivariateDistribution] for the normal (gaussian) distribution.
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*/
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public inline class NormalDistribution(public val sampler: GaussianSampler) : UnivariateDistribution<Double> {
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public inline class NormalDistribution(public val sampler: GaussianSampler) : UnivariateDistribution<Double> {
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public constructor(
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public constructor(
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mean: Double,
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mean: Double,
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@ -2,6 +2,10 @@ package kscience.kmath.stat.internal
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import kotlin.math.abs
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import kotlin.math.abs
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/**
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* Based on Commons Math implementation.
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* See [https://commons.apache.org/proper/commons-math/javadocs/api-3.3/org/apache/commons/math3/special/Erf.html].
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*/
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internal object InternalErf {
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internal object InternalErf {
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fun erfc(x: Double): Double {
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fun erfc(x: Double): Double {
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if (abs(x) > 40) return if (x > 0) 0.0 else 2.0
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if (abs(x) > 40) return if (x > 0) 0.0 else 2.0
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@ -12,7 +12,7 @@ import kotlin.math.pow
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* Sampling from an [exponential distribution](http://mathworld.wolfram.com/ExponentialDistribution.html).
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* Sampling from an [exponential distribution](http://mathworld.wolfram.com/ExponentialDistribution.html).
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/AhrensDieterExponentialSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/AhrensDieterExponentialSampler.html].
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*/
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*/
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public class AhrensDieterExponentialSampler private constructor(public val mean: Double) : Sampler<Double> {
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public class AhrensDieterExponentialSampler private constructor(public val mean: Double) : Sampler<Double> {
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public override fun sample(generator: RandomGenerator): Chain<Double> = generator.chain {
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public override fun sample(generator: RandomGenerator): Chain<Double> = generator.chain {
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@ -15,7 +15,8 @@ import kotlin.math.*
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* Marsaglia and Tsang, A Simple Method for Generating Gamma Variables. ACM Transactions on Mathematical Software, Volume 26 Issue 3, September, 2000.
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* Marsaglia and Tsang, A Simple Method for Generating Gamma Variables. ACM Transactions on Mathematical Software, Volume 26 Issue 3, September, 2000.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/AhrensDieterMarsagliaTsangGammaSampler.html
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*
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/AhrensDieterMarsagliaTsangGammaSampler.html].
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*/
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*/
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public class AhrensDieterMarsagliaTsangGammaSampler private constructor(
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public class AhrensDieterMarsagliaTsangGammaSampler private constructor(
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alpha: Double,
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alpha: Double,
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@ -34,7 +34,7 @@ import kotlin.math.min
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* that exploit the power of 2.
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* that exploit the power of 2.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/AliasMethodDiscreteSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/AliasMethodDiscreteSampler.html].
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*/
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*/
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public open class AliasMethodDiscreteSampler private constructor(
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public open class AliasMethodDiscreteSampler private constructor(
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// Deliberate direct storage of input arrays
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// Deliberate direct storage of input arrays
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@ -11,7 +11,7 @@ import kotlin.math.*
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* distribution.
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* distribution.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/BoxMullerNormalizedGaussianSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/BoxMullerNormalizedGaussianSampler.html].
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*/
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*/
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public class BoxMullerNormalizedGaussianSampler private constructor() : NormalizedGaussianSampler, Sampler<Double> {
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public class BoxMullerNormalizedGaussianSampler private constructor() : NormalizedGaussianSampler, Sampler<Double> {
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private var nextGaussian: Double = Double.NaN
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private var nextGaussian: Double = Double.NaN
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@ -9,7 +9,7 @@ import kscience.kmath.stat.Sampler
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* Sampling from a Gaussian distribution with given mean and standard deviation.
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* Sampling from a Gaussian distribution with given mean and standard deviation.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/GaussianSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/GaussianSampler.html].
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*
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*
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* @property mean the mean of the distribution.
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* @property mean the mean of the distribution.
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* @property standardDeviation the variance of the distribution.
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* @property standardDeviation the variance of the distribution.
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@ -16,7 +16,7 @@ import kotlin.math.exp
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* Sampling uses 1 call to UniformRandomProvider.nextDouble(). This method provides an alternative to the SmallMeanPoissonSampler for slow generators of double.
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* Sampling uses 1 call to UniformRandomProvider.nextDouble(). This method provides an alternative to the SmallMeanPoissonSampler for slow generators of double.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/KempSmallMeanPoissonSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/KempSmallMeanPoissonSampler.html].
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*/
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*/
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public class KempSmallMeanPoissonSampler private constructor(
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public class KempSmallMeanPoissonSampler private constructor(
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private val p0: Double,
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private val p0: Double,
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@ -18,7 +18,7 @@ import kotlin.math.*
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* This sampler is suitable for mean >= 40.
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* This sampler is suitable for mean >= 40.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/LargeMeanPoissonSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/LargeMeanPoissonSampler.html].
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*/
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*/
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public class LargeMeanPoissonSampler private constructor(public val mean: Double) : Sampler<Int> {
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public class LargeMeanPoissonSampler private constructor(public val mean: Double) : Sampler<Int> {
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private val exponential: Sampler<Double> = AhrensDieterExponentialSampler.of(1.0)
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private val exponential: Sampler<Double> = AhrensDieterExponentialSampler.of(1.0)
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* [BoxMullerNormalizedGaussianSampler].
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* [BoxMullerNormalizedGaussianSampler].
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/MarsagliaNormalizedGaussianSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/MarsagliaNormalizedGaussianSampler.html]
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*/
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*/
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public class MarsagliaNormalizedGaussianSampler private constructor() : NormalizedGaussianSampler, Sampler<Double> {
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public class MarsagliaNormalizedGaussianSampler private constructor() : NormalizedGaussianSampler, Sampler<Double> {
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private var nextGaussian = Double.NaN
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private var nextGaussian = Double.NaN
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@ -14,7 +14,7 @@ import kscience.kmath.stat.Sampler
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* Devroye, Luc. (1981). The Computer Generation of Poisson Random Variables Computing vol. 26 pp. 197-207.
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* Devroye, Luc. (1981). The Computer Generation of Poisson Random Variables Computing vol. 26 pp. 197-207.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/PoissonSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/PoissonSampler.html].
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*/
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*/
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public class PoissonSampler private constructor(mean: Double) : Sampler<Int> {
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public class PoissonSampler private constructor(mean: Double) : Sampler<Int> {
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private val poissonSamplerDelegate: Sampler<Int> = of(mean)
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private val poissonSamplerDelegate: Sampler<Int> = of(mean)
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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*
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*
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/SmallMeanPoissonSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/SmallMeanPoissonSampler.html].
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*/
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*/
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public class SmallMeanPoissonSampler private constructor(mean: Double) : Sampler<Int> {
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public class SmallMeanPoissonSampler private constructor(mean: Double) : Sampler<Int> {
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private val p0: Double = exp(-mean)
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private val p0: Double = exp(-mean)
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* implementation has been adapted from the C code provided therein.
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* implementation has been adapted from the C code provided therein.
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*
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*
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* Based on Commons RNG implementation.
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* Based on Commons RNG implementation.
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* See https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/ZigguratNormalizedGaussianSampler.html
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* See [https://commons.apache.org/proper/commons-rng/commons-rng-sampling/apidocs/org/apache/commons/rng/sampling/distribution/ZigguratNormalizedGaussianSampler.html].
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*/
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*/
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public class ZigguratNormalizedGaussianSampler private constructor() :
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public class ZigguratNormalizedGaussianSampler private constructor() :
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NormalizedGaussianSampler, Sampler<Double> {
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NormalizedGaussianSampler, Sampler<Double> {
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