TRIANGLE_PROPERTIES
Properties of a Triangle

TRIANGLE_PROPERTIES is a Python program which can compute properties, including angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality, of a triangle in 2D.

These properties include:

• Angles;
• Area;
• Centroid;
• Circumcircle (center and radius);
• Edge lengths;
• Incircle (center and radius);
• Orientation;
• Orthocenter;
• Quality: ratio of incircle radius / circumcircle radius;

Licensing:

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

Languages:

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

Related Data and Programs:

POLYGON_PROPERTIES, a Python library which computes properties of an arbitrary polygon in the plane, defined by a sequence of vertices, including interior angles, area, centroid, containment of a point, convexity, diameter, distance to a point, inradius, lattice area, nearest point in set, outradius, uniform sampling.

TRIANGLE_INTERPOLATE, a Python library which shows how vertex data can be interpolated at any point in the interior of a triangle.

TRIANGLES, a dataset directory which contains examples of triangles;

Source Code:

• i4_modp.py, returns the nonnegative remainder of integer division;
• i4_wrap.py, forces an integer to lie in a given range;
• line_exp_perp_2d.py, returns a line perpendicular to an explicit line in 2D;
• line_exp2imp_2d.py, converts an explicit line to an implicit line in 2D;
• lines_exp_int_2d.py, finds the intersection of two explicit lines in 2D;
• lines_imp_int_2d.py, finds the intersection of two implicit lines in 2D;
• r8_acos.py, computes the inverse cosine of C;
• r8mat_print.py, prints an R8MAT;
• r8mat_print_some.py, prints some of an R8MAT;
• r8mat_solve.py, solves an N by N linear system with multiple right hand sides.
• r8mat_transpose_print.py, prints the transpose of an R8MAT;
• r8mat_transpose_print_some.py, prints some of the transpose of an R8MAT;
• r8vec_print.py, prints an R8VEC;
• r8vec_uniform_01.py, returns a unit pseudorandom R8VEC.
• segment_point_dist_2d.py, computes the distance between a point and a line segment in 2D;
• segment_point_near_2d.py, returns the nearest line segment point to a point in 2D;
• timestamp.py, prints the current YMDHMS date as a timestamp;
• triangle_angles.py, returns the angles of a triangle in 2D;
• triangle_area.py, returns the area of a triangle in 2D;
• triangle_centroid.py, returns the centroid of a triangle in 2D;
• triangle_circumcircle.py, returns the circumcenter of a triangle in 2D;
• triangle_contains_point.py, determines if a point is in a triangle in 2D;
• triangle_edge_length.py, returns the edge lengths of a triangle in 2D;
• triangle_incircle.py, returns the incircle of a triangle in 2D;
• triangle_orientation.py, returns the orientation of a triangle in 2D;
• triangle_orthocenter.py, returns the orthocenter of a triangle in 2D;
• triangle_point_dist.py, returns the distance of point to a triangle in 2D;
• triangle_point_near.py, returns the nearest point on a triangle in 2D;
• triangle_quality.py, returns the shape quality of a triangle in 2D;
• triangle_reference_sample.py, randomly samples a point from the reference triangle in 2D;
• triangle_sample.py, randomly samples a point from a triangle in 2D;
• triangle_xsi_to_xy.py, converts barycentric to cartesian coordinates in a triangle in 2D;
• triangle_xy_to_xsi.py, converts cartesian to barycentric coordinates in a triangle in 2D;

Examples and Tests:

• triangle_properties_test.py, calls all the tests;
• triangle_properties_test.sh, runs all the tests;
• triangle_properties_test.txt, the output file;

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