triangulation_rcm_test

triangulation_rcm_test, a MATLAB program which calls triangulation_rcm() to compute the reverse Cuthill-McKee reordering for nodes in a triangulation composed of 3-node or 6-node triangles.

The user supplies a node file and a triangle file, containing the coordinates of the nodes, and the indices of the nodes that make up each triangle. Either 3-node or 6-node triangles may be used.

The program reads the data, computes the adjacency information, carries out the RCM algorithm to get the permutation, applies the permutation to the nodes and triangles, and writes out new node and triangle files that correspond to the RCM permutation.

Note that the node file would normally contain exactly 2 values on each line, namely the X and Y coordinates of the nodes. However, this is not necessary. Extra information can be included on each line, for instance, a "Z" coordinate. Each line should include the same number of items, but all will be permuted correctly together. The program does not actually need to know the coordinates of the nodes, so in fact, ANY data (as long as it is real numeric data) associated with the nodes can be listed in the node file, and will be correctly permuted.

Licensing:

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

Related Data and Programs:

triangulation_rcm, a MATLAB program which reads files describing a triangulation of nodes in 2D, and applies the Reverse Cuthill McKee (RCM) algorithm to produce a renumbering of the triangulation with a reduced bandwidth.

Source Code:

• triangulation_rcm_test.m, calls all the tests.
• triangulation_rcm_test.sh, runs all the tests.
• triangulation_rcm_test.txt, the output file.

TEST3 works with a 3-node triangulation:

• test3.txt, the printed output from the command
  "triangulation_rcm test3"
• test3_nodes.txt, the node file.
• test3_nodes.png, a PNG image of the nodes created by TRIANGULATION_PLOT.
• test3_elements.txt, the triangle file.
• test3_elements.png, an image of the triangles before the reordering.
• test3_rcm_nodes.txt, the RCM reordered node file.
• test3_rcm_nodes.png, a PNG image of the reordered nodes created by TRIANGULATION_PLOT.
• test3_rcm_elements.txt, the RCM reordered triangle file.
• test3_rcm_elements.png, an image of the triangles after the reordering.

TEST6 works with a 6-node triangulation:

• test6.txt, the printed output from the command
  "triangulation_rcm test6"
• test6_nodes.txt, the node file.
• test6_nodes.png, a PNG image of the nodes created by TRIANGULATION_PLOT.
• test6_elements.txt, the triangle file.
• test6_elements.png, an image of the triangles before the reordering.
• test6_rcm_nodes.txt, the RCM reordered node file.
• test6_rcm_nodes.png, a PNG image of the reordered nodes created by TRIANGULATION_PLOT.
• test6_rcm_elements.txt, the RCM reordered triangle file.
• test6_rcm_elements.png, an image of the triangles after the reordering.