TOMS706
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TOMS706 is a FORTRAN77 program, using double precision arithmetic, which approximates the integral of a function over a triangulated region.

Related Data and Programs:

DUNAVANT is a FORTRAN90 library of routines for defining a Dunavant rule for quadrature over a triangle.

FEKETE is a FORTRAN90 library of routines for defining a Fekete rule for quadrature or interpolation over a triangle.

MACHINE is a FORTRAN77 library of routines which store the appropriate values of machine constants for a given machine.

STROUD is a FORTRAN90 library of routines for defining quadrature rules on a regions of a variety of shapes and dimensions.

TEST_TRI_INT is a FORTRAN90 library of functions that can be used to test algorithms for quadrature over a triangle.

TOMS612 is a FORTRAN77 library which estimates the integral of a function over a triangle.

TRIANGULATION is a FORTRAN90 library of routines for triangulations, which includes some quadrature rules on triangles.

WANDZURA is a FORTRAN90 library of routines for defining Wandzura rules for quadrature on a triangle.

Reference:

1. Jarle Berntsen, Terje Espelid,
   Algorithm 706: DCUTRI, an Algorithm for Adaptive Cubature over a Collection of Triangles,
   ACM Transactions on Mathematical Software,
   Volume 18, Number 3, September 1992, pages 329-342.

Source Code:

• toms706.f, the source code.
• toms706.csh, commands to compile the source code.

Examples and Tests:

TOMS706_PRB1 is a simple example which integrates exp(x^2+y^2) over a single triangle.

• toms706_prb1.f, a sample calling program.
• toms706_prb1.csh, commands to compile and run the sample program.
• toms706_prb1.out, the output from a run of the sample program.
• toms706_prb1_sun.out, the expected output from the run.

TOMS706_PRB2 is an example which integrates many functions over a triangulated region.

• toms706_prb2.f, a sample calling program.
• toms706_prb2.csh, commands to compile and run the sample program.
• toms706_prb2.out, the output from a run of the sample program.
• toms706_prb2_sun.out, the expected output from the run.

List of Routines:

• D1MACH returns double precision machine-dependent constants.
• DCHTRI checks the validity of the input parameters to DCUTRI.
• DCUTRI integrates a function over a triangulated region.
• DRLTRI computes basic integration rules and error estimates.
• DTRTRI maintains a heap of subregions.
• DADTRI computes integrals over triangular regions.

You can go up one level to the FORTRAN77 source codes.