TEST_INTERP_SCATTERED
Scattered (X,Y,Z(X,Y)) Interpolation Tests

TEST_INTERP_SCATTERED is a FORTRAN77 library which defines test problems for interpolation of data (x,y,z(x,y)), with the data points (x,y) scattered irregularly.

Licensing:

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

Languages:

TEST_INTERP_SCATTERED is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

TOMS526, a FORTRAN77 library which interpolates scattered bivariate data, This is ACM TOMS algorithm 526, by Hiroshi Akima;

TOMS660, a FORTRAN77 library which takes scattered 2D data and produces an interpolating function F(X,Y), this is ACM TOMS algorithm 660, called qshep2d, by Robert Renka.

TOMS661, a FORTRAN77 library which takes scattered 3D data and produces an interpolating function F(X,Y,Z), this is ACM TOMS algorithm 661, called qshep3d, by Robert Renka.

TOMS790, a FORTRAN77 library which computes an interpolating function to a set of scattered data in the plane; this library is commonly called CSHEP2D; by Robert Renka; this is ACM TOMS algorithm 790.

Reference:

1. Richard Franke,
   A Critical Comparison of Some Methods for Interpolation of Scattered Data,
   Naval Postgraduate School Technical Report,
   NPS-53-79-003, 1979.
2. Robert Renka, Ron Brown,
   Algorithm 792: Accuracy Tests of ACM Algorithms for Interpolation of Scattered Data in the Plane,
   ACM Transactions on Mathematical Software,
   Volume 25, Number 1, March 1999, pages 78-94.

Source Code:

• test_interp_scattered.f, the source code.
• test_interp_scattered.sh, BASH commands to compile the source code.

Examples and Tests:

• test_interp_scattered_prb.f, a sample calling program.
• test_interp_scattered_prb.sh, BASH commands to compile and run the sample program.
• test_interp_scattered_prb_output.txt, the output file.

List of Routines:

• F00_F0 returns the value of any function.
• F00_F1 returns first derivatives of any function.
• F00_F2 returns second derivatives of any function.
• F00_NUM returns the number of test functions available.
• F00_TITLE returns the title for any function.
• F01_F0 returns the value of function 1.
• F01_F1 returns first derivatives of function 1.
• F01_F2 returns second derivatives of function 1.
• F01_TITLE returns the title for function 1.
• F02_F0 returns the value of function 2.
• F02_F1 returns first derivatives of function 2.
• F02_F2 returns second derivatives of function 2.
• F02_TITLE returns the title for function 2.
• F03_F0 returns the value of function 3.
• F03_F1 returns first derivatives of function 3.
• F03_F2 returns second derivatives of function 3.
• F03_TITLE returns the title for function 3.
• F04_F0 returns the value of function 4.
• F04_F1 returns first derivatives of function 4.
• F04_F2 returns second derivatives of function 4.
• F04_TITLE returns the title for function 4.
• F05_F0 returns the value of function 5.
• F05_F1 returns first derivatives of function 5.
• F05_F2 returns second derivatives of function 5.
• F05_TITLE returns the title for function 5.
• F06_F0 returns the value of function 6.
• F06_F1 returns first derivatives of function 6.
• F06_F2 returns second derivatives of function 6.
• F06_TITLE returns the title for function 6.
• F07_F0 returns the value of function 7.
• F07_F1 returns first derivatives of function 7.
• F07_F2 returns second derivatives of function 7.
• F07_TITLE returns the title for function 7.
• F08_F0 returns the value of function 8.
• F08_F1 returns first derivatives of function 8.
• F08_F2 returns second derivatives of function 8.
• F08_TITLE returns the title for function 8.
• F09_F0 returns the value of function 9.
• F09_F1 returns first derivatives of function 9.
• F09_F2 returns second derivatives of function 9.
• F09_TITLE returns the title for function 9.
• F10_F0 returns the value of function 10.
• F10_F1 returns first derivatives of function 10.
• F10_F2 returns second derivatives of function 10.
• F10_TITLE returns the title for function 10.
• G00_NUM returns the number of grids available.
• G00_SIZE returns the size for any grid.
• G00_TITLE returns the title for any grid.
• G00_XY returns the grid points for any grid.
• G01_SIZE returns the size for grid 1.
• G01_XY returns the grid points for grid 1.
• G01_TITLE returns the title for grid 1.
• G02_SIZE returns the size for grid 2.
• G02_XY returns the grid points for grid 2.
• G02_TITLE returns the title for grid 2.
• G03_SIZE returns the size for grid 3.
• G03_XY returns the grid points for grid 3.
• G03_TITLE returns the title for grid 3.
• G04_SIZE returns the size for grid 4.
• G04_XY returns the grid points for grid 4.
• G04_TITLE returns the title for grid 4.
• G05_XY returns the grid points for grid 5.
• G05_SIZE returns the size for grid 5.
• G05_TITLE returns the title for grid 5.
• R8VEC_UNIFORM_01 returns a unit pseudorandom R8VEC.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

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