jburkardt

TRIANGLE_ANALYZE\ Compute Properties of a Triangle {#triangle_analyze-compute-properties-of-a-triangle align=”center”} ================================

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TRIANGLE_ANALYZE is a C++ program which reads a triangle defined in a file, and uses the TRIANGLE_PROPERTIES library to compute angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality.

Usage: {#usage align=”center”}

triangle_analyze filename

where filename contains the vertex coordinates.

Licensing: {#licensing align=”center”}

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

Languages: {#languages align=”center”}

TRIANGLE_ANALYZE is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs: {#related-data-and-programs align=”center”}

GEOMETRY, a C++ library which performs geometric calculations in 2, 3 and N dimensional space.

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

TRIANGLE_PROPERTIES, a C++ program which computes properties of triangles.

TRIANGLES, a dataset directory which contains examples of triangles;

Source Code: {#source-code align=”center”}

• triangle_analyze.cpp, the source code.

Examples and Tests: {#examples-and-tests align=”center”}

• tex1.txt, example 1.
• tex1_properties.txt, the output file.
• tex2.txt, example 2.
• tex2_properties.txt, the output file.
• tex3.txt, example 3.
• tex3_properties.txt, the output file.
• tex4.txt, example 4.
• tex4_properties.txt, the output file.
• tex5.txt, example 5.
• tex5_properties.txt, the output file.
• tex6.txt, example 6.
• tex6_properties.txt, the output file.
• tex7.txt, example 7.
• tex7_properties.txt, the output file.
• tex8.txt, example 8.
• tex8_properties.txt, the output file.
• triangle_cap.txt, example of a “cap” triangle.
• triangle_cap_properties.txt, the output file.
• triangle_equilateral.txt, example of an equilateral triangle.
• triangle_equilateral_properties.txt, the output file.
• triangle_needle.txt, example of a “needle” triangle.
• triangle_needle_properties.txt, the output file.
• triangle_ref.txt, example of a reference triangle.
• triangle_ref_properties.txt, the output file.
• triangle_right.txt, example of a right triangle.
• triangle_right_properties.txt, the output file.

List of Routines: {#list-of-routines align=”center”}

• MAIN is the main program for TRIANGLE_ANALYZE.
• CH_CAP capitalizes a single character.
• CH_EQI is true if two characters are equal, disregarding case.
• CH_TO_DIGIT returns the integer value of a base 10 digit.
• FILE_COLUMN_COUNT counts the columns in the first line of a file.
• FILE_ROW_COUNT counts the number of row records in a file.
• I4_MAX returns the maximum of two I4’s.
• I4_MIN returns the minimum of two I4’s.
• I4_MODP returns the nonnegative remainder of I4 division.
• I4_WRAP forces an I4 to lie between given limits by wrapping.
• LINE_EXP_IS_DEGENERATE_ND finds if an explicit line is degenerate in ND.
• LINE_EXP_PERP_2D computes a line perpendicular to a line and through a point.
• LINE_EXP2IMP_2D converts an explicit line to implicit form in 2D.
• LINE_IMP_IS_DEGENERATE_2D finds if an implicit point is degenerate in 2D.
• LINES_EXP_INT_2D determines where two explicit lines intersect in 2D.
• LINES_IMP_INT_2D determines where two implicit lines intersect in 2D.
• R8_ABS returns the absolute value of an R8.
• R8_ACOS computes the arc cosine function, with argument truncation.
• R8_HUGE returns a “huge” R8.
• R8_MAX returns the maximum of two R8’s.
• R8_MIN returns the minimum of two R8’s.
• R8MAT_DATA_READ reads the data from an R8MAT file.
• R8MAT_HEADER_READ reads the header from an R8MAT file.
• R8MAT_INVERSE_2D inverts a 2 by 2 R8MAT using Cramer’s rule.
• R8MAT_SOLVE uses Gauss-Jordan elimination to solve an N by N linear system.
• R8MAT_TRANSPOSE_PRINT prints an R8MAT, transposed.
• R8MAT_TRANSPOSE_PRINT_SOME prints some of an R8MAT, transposed.
• R8VEC_COPY copies an R8VEC.
• R8VEC_EQ is true two R8VEC’s are equal.
• R8VEC_NORM returns the Euclidean length of an R8VEC.
• R8VEC_PRINT prints an R8VEC.
• S_LEN_TRIM returns the length of a string to the last nonblank.
• S_TO_R8 reads an R8 from a string.
• S_TO_R8VEC reads an R8VEC from a string.
• S_WORD_COUNT counts the number of “words” in a string.
• TIMESTAMP prints the current YMDHMS date as a time stamp.
• TRIANGLE_ANGLES_2D computes the angles of a triangle in 2D.
• TRIANGLE_AREA_2D computes the area of a triangle in 2D.
• TRIANGLE_CENTROID_2D computes the centroid of a triangle in 2D.
• TRIANGLE_CIRCUMCIRCLE_2D computes the circumcircle of a triangle in 2D.
• TRIANGLE_CONTAINS_POINT_2D finds if a point is inside a triangle in 2D.
• TRIANGLE_EDGE_LENGTH_2D returns edge lengths of a triangle in 2D.
• TRIANGLE_INCIRCLE_2D computes the inscribed circle of a triangle in 2D.
• TRIANGLE_ORIENTATION_2D determines the orientation of a triangle in 2D.
• TRIANGLE_ORTHOCENTER_2D computes the orthocenter of a triangle in 2D.
• TRIANGLE_QUALITY_2D: “quality” of a triangle in 2D.

You can go up one level to the C++ source codes.

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Last revised on 08 November 2015.