**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

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

**annulus_monte_carlo** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version and
a Python version.

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.

ball_monte_carlo, a C code which applies a monte carlo method to estimate integrals of a function over the interior of the unit ball in 3d;

circle_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function on the circumference of the unit circle in 2d;

cube_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function over the interior of the unit cube in 3d.

disk_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the interior of the general disk in 2d.

disk01_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the interior of the unit disk in 2d.

disk01_quarter_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function over the interior of the unit quarter disk in 2d;

ellipse_monte_carlo a C code which uses the monte carlo method to estimate the value of integrals over the interior of an ellipse in 2d.

ellipsoid_monte_carlo a C code which uses the monte carlo method to estimate the value of integrals over the interior of an ellipsoid in m dimensions.

hyperball_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function over the interior of the unit hyperball in m dimensions;

hypercube_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function over the interior of the unit hypercube in m dimensions.

hypersphere_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function on the surface of the unit sphere in m dimensions;

line_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the length of the unit line in 1d.

polygon_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function over the interior of a polygon in 2d.

pyramid_monte_carlo, a C code which applies a monte carlo method to estimate integrals of a function over the interior of the unit pyramid in 3d;

simplex_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the interior of the unit simplex in m dimensions.

sphere_monte_carlo, a C code which applies a monte carlo method to estimate integrals of a function over the surface of the unit sphere in 3d;

sphere_triangle_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function over a spherical triangle on the surface of the unit sphere in 3d;

square_monte_carlo, a C code which applies a monte carlo method to estimate the integral of a function over the interior of the unit square in 2d.

tetrahedron_monte_carlo, a C code which uses the monte carlo method to estimate integrals over a tetrahedron.

tetrahedron01_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the interior of the unit tetrahedron in 3d.

triangle_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the interior of a triangle in 2d.

triangle01_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the interior of the unit triangle in 2d.

wedge_monte_carlo, a C code which uses the monte carlo method to estimate integrals over the interior of the unit wedge in 3d.

- 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.