% This file has been created automatically by 'rfGenerateMaths'
\name{Mathematial C functions}
\alias{RFcalc}
\alias{R.models}
\alias{math.c}
\alias{R.}
\alias{R.plus}
%\alias{+}
\alias{R.minus}
\alias{-}
\alias{R.mult}
%\alias{*}
\alias{R.div}
\alias{/}
\alias{R.c}
\alias{R.bind}
\alias{c}
\alias{R.p}
\alias{R.acos}
\alias{R.asin}
\alias{asin}
\alias{R.atan}
\alias{atan}
\alias{R.atan2}
\alias{atan2}
\alias{R.cos}
\alias{cos}
\alias{R.sin}
\alias{sin}
\alias{R.tan}
\alias{tan}
\alias{R.acosh}
\alias{acosh}
\alias{R.asinh}
\alias{asinh}
\alias{R.atanh}
\alias{atanh}
\alias{R.cosh}
\alias{cosh}
\alias{R.sinh}
\alias{sinh}
\alias{R.tanh}
\alias{tanh}
\alias{R.exp}
\alias{exp}
\alias{R.log}
\alias{log}
\alias{R.expm1}
\alias{expm1}
\alias{R.log1p}
\alias{log1p}
\alias{R.logb}
\alias{logb}
\alias{R.exp2}
\alias{R.log2}
\alias{log2}
\alias{R.pow}
\alias{R.sqrt}
\alias{sqrt}
\alias{R.hypot}
\alias{R.cbrt}
\alias{R.ceil}
\alias{R.fabs}
\alias{abs}
\alias{R.floor}
\alias{floor}
\alias{R.fmod}
\alias{R.nearbyint}
\alias{R.round}
\alias{round}
\alias{R.trunc}
\alias{trunc}
\alias{R.lrint}
\alias{R.llrint}
\alias{R.lround}
\alias{R.llround}
\alias{R.copysign}
\alias{R.erf}
\alias{R.erfc}
\alias{R.tgamma}
\alias{gamma}
\alias{R.lgamma}
\alias{lgamma}
\alias{R.rint}
\alias{R.nextafter}
\alias{R.nexttoward}
\alias{R.remainder}
\alias{R.fdim}
\alias{R.fmax}
\alias{max}
\alias{R.fmin}
\alias{min}
\title{Transformation of coordinate systems}
\description{
  The functions provide mathematical c functions as \link{RMmodels}
}
 
\usage{
RFcalc(model)
R.minus(a, b, factor)
R.plus(a, b, factor)
R.div(a, b, factor)
R.mult(a, b, factor)
R.c(a)
R.bind(a, b, c, d, e, factor)
R.p(proj, new, factor)
%c(...)
R.acos(a)
asin(x)
R.asin(a)
atan(x)
R.atan(a)
atan2(y, x)
R.atan2(a, b)
cos(x)
R.cos(a)
sin(x)
R.sin(a)
tan(x)
R.tan(a)
acosh(x)
R.acosh(a)
asinh(x)
R.asinh(a)
atanh(x)
R.atanh(a)
cosh(x)
R.cosh(a)
sinh(x)
R.sinh(a)
tanh(x)
R.tanh(a)
exp(x)
R.exp(a)
log(x)
R.log(a)
expm1(x)
R.expm1(a)
log1p(x)
R.log1p(a)
logb(x)
R.logb(a)
R.exp2(a)
log2(x)
R.log2(a)
R.pow(a, b)
sqrt(x)
R.sqrt(a)
R.hypot(a, b)
R.cbrt(a)
R.ceil(a)
abs(x)
R.fabs(a)
floor(x)
R.floor(a)
R.fmod(a, b)
R.nearbyint(a)
round(x, ...)
R.round(a)
trunc(x)
R.trunc(a)
R.lrint(a)
R.llrint(a)
R.lround(a)
R.llround(a)
R.copysign(a, b)
R.erf(a)
R.erfc(a)
gamma(x)
R.tgamma(a)
lgamma(x)
R.lgamma(a)
R.rint(a)
R.nextafter(a, b)
R.nexttoward(a, b)
R.remainder(a, b)
R.fdim(a, b)
max(...)
R.fmax(a, b)
min(...)
R.fmin(a, b)
}

\arguments{
  \item{model}{object of class \code{\link[=RMmodel-class]{RMmodel}}, 
	in particular \command{R.model}}
 \item{x,y,a, b, c, d, e,...}{constant or object of class \code{\link[=RMmodel-class]{RMmodel}}, 
	in particular \command{R.model}}
  \item{factor}{constant factor multiplied with the function. This is
  useful when linear models are built}
  \item{proj}{selection of a component of the vector giving the
  location. Default value is 1.}
  \item{new}{\link{coordinate system} or other 
	\code{\link[=RC_ISONAMES]{kind of isotropy}}
	 which is supposed to be present at this model.
	It shold always be given if the coordinates are not cartesian.
	}
 }

\details{
  \describe{ 
  \item{R.plus}{adds two values}
  \item{R.minus}{substracts two values}
  \item{R.mult}{multiplies two values}
  \item{R.div}{devides two values}
  \item{R.c}{defines a constant }
  \item{R.bind}{builds a vector}
  \item{R.p}{takes a component out of the vector giving the location}
  }
  Sor the remaining models see the corresponding C functions for
  their return value. 
 (For any \sQuote{R.model} type \sQuote{man model} under Linux.)
}

\value{
Formally, the functions returns an object of class
\code{\link[=RMmodel-class]{RMmodel}}, except for
\command{RFcalc} that returns a scalar.
Neither vectors nor parentheses are allowed.
}
%\references{}
  
\note{
The function \command{RFcalc} is intended for simple calculations only
and it is not excessively tested. Especially, binary
operators should be used with caution.
}


\author{Martin Schlather, \email{schlather@math.uni-mannheim.de}}
\seealso{
 \command{\link{RMmodel}}, \command{\link{RFfctn}}
}

\examples{
RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again

## simple calculation
RFcalc(3 + R.sin(pi/4))

## calculation performed on a field
RFfctn(R.p(1) + R.p(2), 1:3, 1:3) 
RFfctn(10 + R.p(2), 1:3, 1:3) 

## calculate the distances between two vectors
print(RFfctn(R.p(new="iso"), 1:10, 1:10))

## simulation of a non-stationary field where
## anisotropy by a transform the coordinates (x_1^2, x_2^1.5)
x <- seq(0.1, 6, if (interactive()) 0.12 else 2)
Aniso <- R.bind(R.p(1)^2, R.p(2)^1.5)
z <- RFsimulate(RMexp(Aniso=Aniso), x, x)


\dontshow{FinalizeExample()}
}


\keyword{spatial}
\keyword{models}