# Licensed to the Apache Software Foundation (ASF) under one or more | |

# contributor license agreements. See the NOTICE file distributed with | |

# this work for additional information regarding copyright ownership. | |

# The ASF licenses this file to You 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. | |

# | |

#------------------------------------------------------------------------------ | |

# R source file to validate Laplace distribution tests in | |

# org.apache.commons.math3.distribution.LaplaceDistributionTest | |

# | |

# To run the test, install R, put this file and testFunctions | |

# into the same directory, launch R from this directory and then enter | |

# source("<name-of-this-file>") | |

# | |

# R functions used | |

# dlaplace(x, location = 0, scale = 1, log = FALSE, max = TRUE) | |

# plaplace(q, location = 0, scale = 1, lower.tail = TRUE, max = TRUE) | |

#----------------------------------------------------------------------------- | |

tol <- 1E-9 | |

# Function definitions | |

source("testFunctions") # utility test functions | |

library("VGAM") | |

# function to verify distribution computations | |

verifyDistribution <- function(points, expected, m, s, tol) { | |

rDistValues <- rep(0, length(points)) | |

i <- 0 | |

for (point in points) { | |

i <- i + 1 | |

rDistValues[i] <- plaplace(point, m, s) | |

} | |

output <- c("Distribution test m = ",m,", s = ", s) | |

if (assertEquals(expected, rDistValues, tol, "Distribution Values")) { | |

displayPadded(output, SUCCEEDED, WIDTH) | |

} else { | |

displayPadded(output, FAILED, WIDTH) | |

} | |

} | |

# function to verify density computations | |

verifyDensity <- function(points, expected, m, s, tol) { | |

rDensityValues <- rep(0, length(points)) | |

i <- 0 | |

for (point in points) { | |

i <- i + 1 | |

rDensityValues[i] <- dlaplace(point, m, s) | |

} | |

output <- c("Density test m = ",m,", s = ", s) | |

if (assertEquals(expected, rDensityValues, tol, "Density Values")) { | |

displayPadded(output, SUCCEEDED, WIDTH) | |

} else { | |

displayPadded(output, FAILED, WIDTH) | |

} | |

} | |

#-------------------------------------------------------------------------- | |

cat("Laplace test cases\n") | |

m <- 0 | |

s <- 1 | |

distributionPoints <- c(-5:5) | |

densityValues <- c(0.0033689734995427335,0.00915781944436709,0.024893534183931972,0.06766764161830635,0.18393972058572117,0.5,0.18393972058572117,0.06766764161830635,0.024893534183931972,0.00915781944436709,0.0033689734995427335) | |

distributionValues <- c(0.0033689734995427335,0.00915781944436709,0.024893534183931972,0.06766764161830635,0.18393972058572117,0.5,0.8160602794142788,0.9323323583816936,0.9751064658160681,0.9908421805556329,0.9966310265004573) | |

verifyDistribution(distributionPoints, distributionValues, m, s, tol) | |

verifyDensity(distributionPoints, densityValues, m, s, tol) | |

m <- -5 | |

s <- 4 | |

distributionPoints <- c(-5:5) | |

densityValues <- c(0.125,0.09735009788392561,0.07581633246407918,0.059045819092626836,0.04598493014643029,0.03581309960752376,0.027891270018553727,0.021721742931305642,0.016916910404576588,0.013174903070233042,0.01026062482798735) | |

distributionValues <- c(0.5,0.6105996084642975,0.6967346701436833,0.7638167236294926,0.8160602794142788,0.8567476015699049,0.888434919925785,0.9131130282747775,0.9323323583816936,0.9473003877190679,0.9589575006880506) | |

verifyDistribution(distributionPoints, distributionValues, m, s, tol) | |

verifyDensity(distributionPoints, densityValues, m, s, tol) |