disk_integrands
Test Integrals over the Unit Circle

disk_integrands, a MATLAB library which defines several test integrals over the unit disk, making it possible to check the accuracy of quadrature rules.

Currently, the test integrals include:

1. x^e, where the parameter e is set by the user.
2. r^e, where the parameter e is set by the user.
3. exp(x)

Licensing:

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

Languages:

disk_integrands is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

disk_integrands_test

QUADRULE, a MATLAB library which defines quadrature rules on a variety of intervals with different weight functions.

STROUD, a MATLAB library which defines quadrature rules for a variety of M-dimensional regions, including the interior of the square, cube and hypercube, the pyramid, cone and ellipse, the hexagon, the M-dimensional octahedron, the circle, sphere and hypersphere, the triangle, tetrahedron and simplex, and the surface of the circle, sphere and hypersphere.

TEST_INT_SPHERE, a MATLAB library which can be used to test algorithms for quadrature over the interior of a sphere.

TRIANGLE_INTEGRALS, a MATLAB library which implements test functions for integration over the interior of a triangle in 2D.

Source Code:

• disk_unit_area.m returns the area of the unit disk.
• disk_unit_sample.m returns sample points from the unit disk.
• cos_power_int.m evaluates the cosine power integral.
• p01_exact.m returns the exact integral of test function 1.
• p01_f.m evaluates test function 1.
• p01_param.m sets or gets the parmaeter for test function 1.
• p01_param_get.m gets the parmaeter for test function 1.
• p01_param_set.m sets the parmaeter for test function 1.
• p02_exact.m returns the exact integral of test function 2.
• p02_f.m evaluates test function 2.
• p02_param.m sets or gets the parameter for test function 2.
• p02_param_get.m gets the parmaeter for test function 2.
• p02_param_set.m sets the parmaeter for test function 2.
• p03_exact.m returns the exact integral of test function 3.
• p03_f.m evaluates test function 3.
• r8vec_uniform_01.m returns a unit pseudorandom R8VEC.
• sin_power_int.m returns values of the sine power integral.
• timestamp.m prints the YMDHMS date as a timestamp.