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/*
* Copyright 2017 SPZ
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package math.stats.distribution;
import math.rng.DefaultRng;
import math.rng.PseudoRandom;
/**
* TODO
*
* https://en.wikipedia.org/wiki/Uniform_distribution_(continuous)
*/
public class Uniform extends AbstractContinuousDistribution {
private final double a;
private final double b;
public Uniform(PseudoRandom prng, double a, double b) {
super(prng);
if (b <= a) {
throw new IllegalArgumentException("b <= a");
}
this.a = a;
this.b = b;
}
public Uniform(double a, double b) {
this(DefaultRng.newPseudoRandom(), a, b);
}
public Uniform() {
this(DefaultRng.newPseudoRandom());
}
public Uniform(PseudoRandom prng) {
this(prng, 0.0, 1.0);
}
@Override
public double pdf(double x) {
if (x < a || x > b) {
return 0.0;
}
return 1.0 / (b - a);
}
@Override
public double cdf(double x) {
if (x <= a) {
return 0.0;
}
if (x >= b) {
return 1.0;
}
return (x - a) / (b - a);
}
@Override
public double sample() {
return a + ((b - a) * prng.nextDouble());
}
@Override
public double mean() {
return (a + b) / 2.0;
}
@Override
public double variance() {
return ((b - a) * (b - a)) / 12.0;
}
@Override
public String toString() {
return getSimpleName(a, b);
}
}