annulus_monte_carlo

annulus_monte_carlo, a C code which uses the Monte Carlo method to estimate the integral of a function over the interior of a circular annulus in 2D.

A circular annulus with center (XC,YC), inner radius R1 and outer radius R2, is the set of points (X,Y) so that

      R1^2 <= (X-XC)^2 + (Y-YC)^2 <= R2^2

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

annulus_monte_carlo is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

annulus_monte_carlo_test

annulus_rule, a C code which computes a quadrature rule for estimating integrals of a function over the interior of a circular annulus in 2d.

c_monte_carlo, a C code which uses Monte Carlo sampling to estimate areas and integrals.

Source Code:

• annulus_monte_carlo.h, the include file.
• annulus_area.c, computes the area of a circular annulus in 2D.
• annulus_sample.c, samples a circular annulus.
• disk01_monomial_integral.c, returns monomial integrals in the unit disk in 2D.
• monomial_value.c, evaluates a monomial.
• r8_uniform_01_new.c, returns a unit pseudorandom R8.
• r8vec_normal_01_new.c, returns a unit pseudonormal R8VEC.
• r8vec_sum.c, sums a R8VEC.
• r8vec_uniform_01_new.c, returns a unit pseudorandom R8VEC.
• .timestamp.c, prints the current YMDHMS date as a time stamp.