runit.rmath.R
In Rcpp: Seamless R and C++ Integration

#!/usr/bin/r -t
# -*- mode: R; ess-indent-level: 4; tab-width: 4; indent-tabs-mode: nil; -*
#
# Copyright (C) 2012 - 2013 Dirk Eddelbuettel and Romain Francois
#
# This file is part of Rcpp.
#
# Rcpp is free software: you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 2 of the License, or
# (at your option) any later version.
#
# Rcpp is distributed in the hope that it will be useful, but
# WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with Rcpp.  If not, see <http://www.gnu.org/licenses/>.

.runThisTest <- Sys.getenv("RunAllRcppTests") == "yes"

if (.runThisTest) {

.setUp <- Rcpp:::unit_test_setup( "rmath.cpp" )

test.rmath.norm <- function() {
    x <- 0.25
    a <- 1.25
    b <- 2.50
    checkEquals(runit_dnorm(x, a, b),
                c(dnorm(x, a, b, log=FALSE), dnorm(x, a, b, log=TRUE)),
                msg = " rmath.dnorm")

    checkEquals(runit_pnorm(x, a, b),
                c(pnorm(x, a, b, lower=TRUE, log=FALSE),  pnorm(log(x), a, b, lower=TRUE, log=TRUE),
                  pnorm(x, a, b, lower=FALSE, log=FALSE), pnorm(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pnorm")

    checkEquals(runit_qnorm(x, a, b),
                c(qnorm(x, a, b, lower=TRUE, log=FALSE),  qnorm(log(x), a, b, lower=TRUE,  log=TRUE),
                  qnorm(x, a, b, lower=FALSE, log=FALSE), qnorm(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qnorm")
}

test.rmath.unif <- function() {
    x <- 0.25
    a <- 1.25
    b <- 2.50
    checkEquals(runit_dunif(x, a, b),
                c(dunif(x, a, b, log=FALSE), dunif(x, a, b, log=TRUE)),
                msg = " rmath.dunif")

    checkEquals(runit_punif(x, a, b),
                c(punif(x, a, b, lower=TRUE, log=FALSE),  punif(log(x), a, b, lower=TRUE, log=TRUE),
                  punif(x, a, b, lower=FALSE, log=FALSE), punif(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.punif")

    checkEquals(runit_qunif(x, a, b),
                c(qunif(x, a, b, lower=TRUE, log=FALSE),  qunif(log(x), a, b, lower=TRUE,  log=TRUE),
                  qunif(x, a, b, lower=FALSE, log=FALSE), qunif(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qunif")
}

test.rmath.gamma <- function() {
    x <- 0.25
    a <- 1.0
    b <- 1.0
    checkEquals(runit_dgamma(x, a, b),
                c(dgamma(x, a, b, log=FALSE), dgamma(x, a, b, log=TRUE)),
                msg = " rmath.dgamma")

    checkEquals(runit_pgamma(x, a, b),
                c(pgamma(x, a, b, lower=TRUE, log=FALSE),  pgamma(log(x), a, b, lower=TRUE, log=TRUE),
                  pgamma(x, a, b, lower=FALSE, log=FALSE), pgamma(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pgamma")

    checkEquals(runit_qgamma(x, a, b),
                c(qgamma(x, a, b, lower=TRUE, log=FALSE),  qgamma(log(x), a, b, lower=TRUE,  log=TRUE),
                  qgamma(x, a, b, lower=FALSE, log=FALSE), qgamma(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qgamma")
}

test.rmath.beta <- function() {
    x <- 0.25
    a <- 0.8
    b <- 2.5
    checkEquals(runit_dbeta(x, a, b),
                c(dbeta(x, a, b, log=FALSE), dbeta(x, a, b, log=TRUE)),
                msg = " rmath.dbeta")

    checkEquals(runit_pbeta(x, a, b),
                c(pbeta(x, a, b, lower=TRUE, log=FALSE),  pbeta(log(x), a, b, lower=TRUE, log=TRUE),
                  pbeta(x, a, b, lower=FALSE, log=FALSE), pbeta(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pbeta")

    checkEquals(runit_qbeta(x, a, b),
                c(qbeta(x, a, b, lower=TRUE, log=FALSE),  qbeta(log(x), a, b, lower=TRUE,  log=TRUE),
                  qbeta(x, a, b, lower=FALSE, log=FALSE), qbeta(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qbeta")
}


test.rmath.lnorm <- function() {
    x <- 0.25
    a <- 0.8
    b <- 2.5
    checkEquals(runit_dlnorm(x, a, b),
                c(dlnorm(x, a, b, log=FALSE), dlnorm(x, a, b, log=TRUE)),
                msg = " rmath.dlnorm")

    checkEquals(runit_plnorm(x, a, b),
                c(plnorm(x, a, b, lower=TRUE, log=FALSE),  plnorm(log(x), a, b, lower=TRUE, log=TRUE),
                  plnorm(x, a, b, lower=FALSE, log=FALSE), plnorm(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.plnorm")

    checkEquals(runit_qlnorm(x, a, b),
                c(qlnorm(x, a, b, lower=TRUE, log=FALSE),  qlnorm(log(x), a, b, lower=TRUE,  log=TRUE),
                  qlnorm(x, a, b, lower=FALSE, log=FALSE), qlnorm(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qlnorm")
}


test.rmath.chisq <- function() {
    x <- 0.25
    a <- 0.8
    checkEquals(runit_dchisq(x, a),
                c(dchisq(x, a, log=FALSE), dchisq(x, a, log=TRUE)),
                msg = " rmath.dchisq")

    checkEquals(runit_pchisq(x, a),
                c(pchisq(x, a, lower=TRUE, log=FALSE),  pchisq(log(x), a, lower=TRUE, log=TRUE),
                  pchisq(x, a, lower=FALSE, log=FALSE), pchisq(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.pchisq")

    checkEquals(runit_qchisq(x, a),
                c(qchisq(x, a, lower=TRUE, log=FALSE),  qchisq(log(x), a, lower=TRUE,  log=TRUE),
                  qchisq(x, a, lower=FALSE, log=FALSE), qchisq(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.qchisq")
}


test.rmath.nchisq <- function() {
    x <- 0.25
    a <- 0.8
    b <- 2.5
    checkEquals(runit_dnchisq(x, a, b),
                c(dchisq(x, a, b, log=FALSE), dchisq(x, a, b, log=TRUE)),
                msg = " rmath.dnchisq")

    checkEquals(runit_pnchisq(x, a, b),
                c(pchisq(x, a, b, lower=TRUE, log=FALSE),  pchisq(log(x), a, b, lower=TRUE, log=TRUE),
                  pchisq(x, a, b, lower=FALSE, log=FALSE), pchisq(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pnchisq")

    checkEquals(runit_qnchisq(x, a, b),
                c(qchisq(x, a, b, lower=TRUE, log=FALSE),  qchisq(log(x), a, b, lower=TRUE,  log=TRUE),
                  qchisq(x, a, b, lower=FALSE, log=FALSE), qchisq(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qnchisq")
}


test.rmath.f <- function() {
    x <- 0.25
    a <- 0.8
    b <- 2.5
    checkEquals(runit_df(x, a, b),
                c(df(x, a, b, log=FALSE), df(x, a, b, log=TRUE)),
                msg = " rmath.df")

    checkEquals(runit_pf(x, a, b),
                c(pf(x, a, b, lower=TRUE, log=FALSE),  pf(log(x), a, b, lower=TRUE, log=TRUE),
                  pf(x, a, b, lower=FALSE, log=FALSE), pf(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pf")

    checkEquals(runit_qf(x, a, b),
                c(qf(x, a, b, lower=TRUE, log=FALSE),  qf(log(x), a, b, lower=TRUE,  log=TRUE),
                  qf(x, a, b, lower=FALSE, log=FALSE), qf(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qf")
}


test.rmath.t <- function() {
    x <- 0.25
    a <- 0.8
    checkEquals(runit_dt(x, a),
                c(dt(x, a, log=FALSE), dt(x, a, log=TRUE)),
                msg = " rmath.dt")

    checkEquals(runit_pt(x, a),
                c(pt(x, a, lower=TRUE, log=FALSE),  pt(log(x), a, lower=TRUE, log=TRUE),
                  pt(x, a, lower=FALSE, log=FALSE), pt(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.pt")

    checkEquals(runit_qt(x, a),
                c(qt(x, a, lower=TRUE, log=FALSE),  qt(log(x), a, lower=TRUE,  log=TRUE),
                  qt(x, a, lower=FALSE, log=FALSE), qt(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.qt")
}


test.rmath.binom <- function() {
    x <- 5
    a <- 10
    b <- 0.5
    checkEquals(runit_dbinom(x, a, b),
                c(dbinom(x, a, b, log=FALSE), dbinom(x, a, b, log=TRUE)),
                msg = " rmath.dbinom")

    checkEquals(runit_pbinom(x, a, b),
                c(pbinom(x, a, b, lower=TRUE, log=FALSE),  pbinom(log(x), a, b, lower=TRUE, log=TRUE),
                  pbinom(x, a, b, lower=FALSE, log=FALSE), pbinom(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pbinom")

    x <- x/a
    checkEquals(runit_qbinom(x, a, b),
                c(qbinom(x, a, b, lower=TRUE, log=FALSE),  qbinom(log(x), a, b, lower=TRUE,  log=TRUE),
                  qbinom(x, a, b, lower=FALSE, log=FALSE), qbinom(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qbinom")
}


test.rmath.cauchy <- function() {
    x <- 0.25
    a <- 0.8
    b <- 2.5
    checkEquals(runit_dcauchy(x, a, b),
                c(dcauchy(x, a, b, log=FALSE), dcauchy(x, a, b, log=TRUE)),
                msg = " rmath.dcauchy")

    checkEquals(runit_pcauchy(x, a, b),
                c(pcauchy(x, a, b, lower=TRUE, log=FALSE),  pcauchy(log(x), a, b, lower=TRUE, log=TRUE),
                  pcauchy(x, a, b, lower=FALSE, log=FALSE), pcauchy(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pcauchy")

    checkEquals(runit_qcauchy(x, a, b),
                c(qcauchy(x, a, b, lower=TRUE, log=FALSE),  qcauchy(log(x), a, b, lower=TRUE,  log=TRUE),
                  qcauchy(x, a, b, lower=FALSE, log=FALSE), qcauchy(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qcauchy")
}


test.rmath.exp <- function() {
    x <- 0.25
    a <- 1.0
    checkEquals(runit_dexp(x, a),
                c(dexp(x, a, log=FALSE), dexp(x, a, log=TRUE)),
                msg = " rmath.dexp")

    checkEquals(runit_pexp(x, a),
                c(pexp(x, a, lower=TRUE, log=FALSE),  pexp(log(x), a, lower=TRUE, log=TRUE),
                  pexp(x, a, lower=FALSE, log=FALSE), pexp(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.pexp")

    checkEquals(runit_qexp(x, a),
                c(qexp(x, a, lower=TRUE, log=FALSE),  qexp(log(x), a, lower=TRUE,  log=TRUE),
                  qexp(x, a, lower=FALSE, log=FALSE), qexp(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.qexp")
}


test.rmath.geom <- function() {
    x <- 1
    a <- 0.75
    checkEquals(runit_dgeom(x, a),
                c(dgeom(x, a, log=FALSE), dgeom(x, a, log=TRUE)),
                msg = " rmath.dgeom")

    checkEquals(runit_pgeom(x, a),
                c(pgeom(x, a, lower=TRUE, log=FALSE),  pgeom(log(x), a, lower=TRUE, log=TRUE),
                  pgeom(x, a, lower=FALSE, log=FALSE), pgeom(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.pgeom")

    checkEquals(runit_qgeom(x, a),
                c(qgeom(x, a, lower=TRUE, log=FALSE),  qgeom(log(x), a, lower=TRUE,  log=TRUE),
                  qgeom(x, a, lower=FALSE, log=FALSE), qgeom(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.qgeom")
}

test.rmath.hyper <- function() {
    x <- 5
    a <- 10
    b <- 7
    c <- 8
    checkEquals(runit_dhyper(x, a, b, c),
                c(dhyper(x, a, b, c, log=FALSE), dhyper(x, a, b, c, log=TRUE)),
                msg = " rmath.dhyper")

    checkEquals(runit_phyper(x, a, b, c),
                c(phyper(x, a, b, c, lower=TRUE, log=FALSE),  phyper(log(x), a, b, c, lower=TRUE, log=TRUE),
                  phyper(x, a, b, c, lower=FALSE, log=FALSE), phyper(log(x), a, b, c, lower=FALSE, log=TRUE)),
                msg = " rmath.phyper")

    x <- x/a
    checkEquals(runit_qhyper(x, a, b, c),
                c(qhyper(x, a, b, c, lower=TRUE, log=FALSE),  qhyper(log(x), a, b, c, lower=TRUE,  log=TRUE),
                  qhyper(x, a, b, c, lower=FALSE, log=FALSE), qhyper(log(x), a, b, c, lower=FALSE, log=TRUE)),
                msg = " rmath.qhyper")
}


test.rmath.nbinom <- function() {
    x <- 2
    a <- 8
    b <- 0.25
    checkEquals(runit_dnbinom(x, a, b),
                c(dnbinom(x, a, b, log=FALSE), dnbinom(x, a, b, log=TRUE)),
                msg = " rmath.dnbinom")

    checkEquals(runit_pnbinom(x, a, b),
                c(pnbinom(x, a, b, lower=TRUE, log=FALSE),  pnbinom(log(x), a, b, lower=TRUE, log=TRUE),
                  pnbinom(x, a, b, lower=FALSE, log=FALSE), pnbinom(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pnbinom")

    x <- x/a
    checkEquals(runit_qnbinom(x, a, b),
                c(qnbinom(x, a, b, lower=TRUE, log=FALSE),  qnbinom(log(x), a, b, lower=TRUE,  log=TRUE),
                  qnbinom(x, a, b, lower=FALSE, log=FALSE), qnbinom(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qnbinom")
}


test.rmath.pois <- function() {
    x <- 2
    a <- 1.0
    checkEquals(runit_dpois(x, a),
                c(dpois(x, a, log=FALSE), dpois(x, a, log=TRUE)),
                msg = " rmath.dpois")

    checkEquals(runit_ppois(x, a),
                c(ppois(x, a, lower=TRUE, log=FALSE),  ppois(log(x), a, lower=TRUE, log=TRUE),
                  ppois(x, a, lower=FALSE, log=FALSE), ppois(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.ppois")

    x <- 1/x
    checkEquals(runit_qpois(x, a),
                c(qpois(x, a, lower=TRUE, log=FALSE),  qpois(log(x), a, lower=TRUE,  log=TRUE),
                  qpois(x, a, lower=FALSE, log=FALSE), qpois(log(x), a, lower=FALSE, log=TRUE)),
                msg = " rmath.qpois")
}


test.rmath.weibull <- function() {
    x <- 2
    a <- 8
    b <- 0.25
    checkEquals(runit_dweibull(x, a, b),
                c(dweibull(x, a, b, log=FALSE), dweibull(x, a, b, log=TRUE)),
                msg = " rmath.dweibull")

    checkEquals(runit_pweibull(x, a, b),
                c(pweibull(x, a, b, lower=TRUE, log=FALSE),  pweibull(log(x), a, b, lower=TRUE, log=TRUE),
                  pweibull(x, a, b, lower=FALSE, log=FALSE), pweibull(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pweibull")

    x <- x/a
    checkEquals(runit_qweibull(x, a, b),
                c(qweibull(x, a, b, lower=TRUE, log=FALSE),  qweibull(log(x), a, b, lower=TRUE,  log=TRUE),
                  qweibull(x, a, b, lower=FALSE, log=FALSE), qweibull(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qweibull")
}


test.rmath.logis <- function() {
    x <- 2
    a <- 8
    b <- 0.25
    checkEquals(runit_dlogis(x, a, b),
                c(dlogis(x, a, b, log=FALSE), dlogis(x, a, b, log=TRUE)),
                msg = " rmath.dlogis")

    checkEquals(runit_plogis(x, a, b),
                c(plogis(x, a, b, lower=TRUE, log=FALSE),  plogis(log(x), a, b, lower=TRUE, log=TRUE),
                  plogis(x, a, b, lower=FALSE, log=FALSE), plogis(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.plogis")

    x <- x/a
    checkEquals(runit_qlogis(x, a, b),
                c(qlogis(x, a, b, lower=TRUE, log=FALSE),  qlogis(log(x), a, b, lower=TRUE,  log=TRUE),
                  qlogis(x, a, b, lower=FALSE, log=FALSE), qlogis(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qlogis")
}


test.rmath.nbeta <- function() {
    x <- 5
    a <- 10
    b <- 7
    c <- 8
    checkEquals(runit_dnbeta(x, a, b, c),
                c(dbeta(x, a, b, c, log=FALSE), dbeta(x, a, b, c, log=TRUE)),
                msg = " rmath.dnbeta")

    checkEquals(runit_pnbeta(x, a, b, c),
                c(pbeta(x, a, b, c, lower=TRUE, log=FALSE),  pbeta(log(x), a, b, c, lower=TRUE, log=TRUE),
                  pbeta(x, a, b, c, lower=FALSE, log=FALSE), pbeta(log(x), a, b, c, lower=FALSE, log=TRUE)),
                msg = " rmath.pnbeta")

    x <- x/a
    checkEquals(runit_qnbeta(x, a, b, c),
                c(qbeta(x, a, b, c, lower=TRUE, log=FALSE),  qbeta(log(x), a, b, c, lower=TRUE,  log=TRUE),
                  qbeta(x, a, b, c, lower=FALSE, log=FALSE), qbeta(log(x), a, b, c, lower=FALSE, log=TRUE)),
                msg = " rmath.qnbeta")
}


test.rmath.nf <- function() {
    x <- 5
    a <- 10
    b <- 7
    c <- 8
    checkEquals(runit_dnf(x, a, b, c),
                c(df(x, a, b, c, log=FALSE), df(x, a, b, c, log=TRUE)),
                msg = " rmath.dnf")

    checkEquals(runit_pnf(x, a, b, c),
                c(pf(x, a, b, c, lower=TRUE, log=FALSE),  pf(log(x), a, b, c, lower=TRUE, log=TRUE),
                  pf(x, a, b, c, lower=FALSE, log=FALSE), pf(log(x), a, b, c, lower=FALSE, log=TRUE)),
                msg = " rmath.pnf")

    x <- x/a
    checkEquals(runit_qnf(x, a, b, c),
                c(qf(x, a, b, c, lower=TRUE, log=FALSE),  qf(log(x), a, b, c, lower=TRUE,  log=TRUE),
                  qf(x, a, b, c, lower=FALSE, log=FALSE), qf(log(x), a, b, c, lower=FALSE, log=TRUE)),
                msg = " rmath.qnf")
}

test.rmath.nt <- function() {
    x <- 5
    a <- 10
    b <- 7
    checkEquals(runit_dnt(x, a, b),
                c(dt(x, a, b, log=FALSE), dt(x, a, b, log=TRUE)),
                msg = " rmath.dnt")

    checkEquals(runit_pnt(x, a, b),
                c(pt(x, a, b, lower=TRUE, log=FALSE),  pt(log(x), a, b, lower=TRUE, log=TRUE),
                  pt(x, a, b, lower=FALSE, log=FALSE), pt(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pnt")

    x <- x/a
    checkEquals(runit_qnt(x, a, b),
                c(qt(x, a, b, lower=TRUE, log=FALSE),  qt(log(x), a, b, lower=TRUE,  log=TRUE),
                  qt(x, a, b, lower=FALSE, log=FALSE), qt(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qnt")
}

test.rmath.wilcox <- function() {
    x <- 2
    a <- 4
    b <- 6
    checkEquals(runit_dwilcox(x, a, b),
                c(dwilcox(x, a, b, log=FALSE), dwilcox(x, a, b, log=TRUE)),
                msg = " rmath.dwilcox")

    checkEquals(runit_pwilcox(x, a, b),
                c(pwilcox(x, a, b, lower=TRUE, log=FALSE),  pwilcox(log(x), a, b, lower=TRUE, log=TRUE),
                  pwilcox(x, a, b, lower=FALSE, log=FALSE), pwilcox(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.pwilcox")

    x <- x/a
    checkEquals(runit_qwilcox(x, a, b),
                c(qwilcox(x, a, b, lower=TRUE, log=FALSE),  qwilcox(log(x), a, b, lower=TRUE,  log=TRUE),
                  qwilcox(x, a, b, lower=FALSE, log=FALSE), qwilcox(log(x), a, b, lower=FALSE, log=TRUE)),
                msg = " rmath.qwilcox")
}

}