checkintrfr

numeric vector of upper bounds for which to
  check the validity of <code>intrfr</code>. If it has length 0,
  no checks are performed.

of <code><a href="/link/all.equal.numeric?package=polyCub&version=0.4-3" rd-options="" data-mini-rdoc="polyCub::all.equal.numeric">all.equal.numeric</a></code> when
  comparing <code>intrfr</code> results with numerical
  integration. Defaults to the relative tolerance used for
  <code>integrate</code>.

tolerance

analytical antiderivative of $r f_r(r)$
  from 0 to <code>R</code> (first argument, not necessarily named
  <code>"R"</code>, must be vectorized). If missing,
  <code>intrfr</code> is approximated numerically using
  <code></code>

intrfr

two-dimensional function. As its first argument
  it must take a coordinate matrix, i.e. a numeric matrix
  with two columns.

further arguments for <code>f</code> or
  <code>intrfr</code>.

numeric vector of length 2, the center of
  isotropy.

center

list of arguments passed to
  <code><a href="/link/integrate?package=polyCub&version=0.4-3" rd-options="" data-mini-rdoc="polyCub::integrate">integrate</a></code>, the quadrature rule used for the
  line integral along the polygon boundary.

control

This function is auxiliary to <code><a href="/link/polyCub.iso?package=polyCub&version=0.4-3" rd-options="" data-mini-rdoc="polyCub::polyCub.iso">polyCub.iso</a></code>.
The (analytical) integral of $r f_r(r)$ from 0 to
$R$ is checked against a numeric approximation using
<code><a href="/link/integrate?package=polyCub&version=0.4-3" rd-options="" data-mini-rdoc="polyCub::integrate">integrate</a></code> for various values of the upper
bound $R$. A warning is issued if inconsistencies are
found.

A package providing methods for cubature (numerical integration)
             over polygonal domains.
             Currently, four cubature methods are implemented:
             the two-dimensional midpoint rule as a simple wrapper around
             as.im.function() from package spatstat (Baddeley and Turner, 2005),
             the product Gauss cubature by Sommariva and Vianello (2007),
             an adaptive cubature for isotropic functions via line integrate()
             along the boundary (Meyer and Held, 2014),
             and quasi-exact methods specific to the integration of the
             bivariate Gaussian density over polygonal and circular domains
             (based on formulae from the Abramowitz and Stegun (1972) handbook).
             For cubature over simple hypercubes, the packages cubature and
             R2Cuba are more appropriate.

checkintrfr: Check the Integral of $r f_r(r)$

Description

Usage

Arguments

Value