**triangle01_integrals**,
a Python code which
returns the exact value of the integral of any monomial
over the interior of the unit triangle in 2D.

The interior of the unit triangle in 2D is defined by

0 <= x 0 <= y x + y <= 1

The integrands are all of the form:

f(x,y) = x^e1 * y^e2where the exponents are nonnegative integers.

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

**triangle01_integrals** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version and
a Python version.

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DISK01_INTEGRALS, a Python code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.

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HYPERCUBE_INTEGRALS, a Python code which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.

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TRIANGLE01_MONTE_CARLO, a Python code which uses the Monte Carlo method to estimate the integral of a function over the interior of the unit triangle in 2D.

WEDGE_INTEGRALS, a Python code which returns the exact value of the integral of any monomial over the interior of the unit wedge in 3D.

- triangle01_integrals.py, the source code.
- triangle01_integrals.sh, runs all the tests.
- triangle01_integrals.txt, the output file.