SPHERE_LLQ_GRID
Latitude/Longitude Quadrilateral Grids on a Sphere

SPHERE_LLQ_GRID is a Python library which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals over the surface of a sphere in 3D.

Licensing:

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

Languages:

SPHERE_LLQ_GRID 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:

BALL_GRID, a Python library which computes a grid of points over the interior of a ball in 3D.

CIRCLE_ARC_GRID, a Python program which computes points equally spaced along a circular arc;

CUBE_GRID, a Python library which computes a grid of points over the interior of a cube in 3D.

DISK_GRID, a Python library which computes a grid of points over the interior of a disk in 2D.

ELLIPSE_GRID, a Python library which computes a grid of points over the interior of an ellipse in 2D.

ELLIPSOID_GRID, a Python library which computes a grid of points over the interior of an ellipsoid in 3D.

HYPERCUBE_GRID, a Python library which computes a grid of points over the interior of a hypercube in M dimensions.

LINE_GRID, a Python library which computes a grid of points over the interior of a line segment in 1D.

POLYGON_GRID, a Python library which generates a grid of points over the interior of a polygon in 2D.

PYRAMID_GRID, a Python library which computes a grid of points over the interior of the unit pyramid in 3D;

SIMPLEX_GRID, a Python library which generates a grid of points over the interior of a simplex in M dimensions.

SPHERE_FIBONACCI_GRID, a Python library which computes a grid of points using the Fibonacci spiral over the surface of a sphere in 3D.

SPHERE_INTEGRALS, a Python library which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.

SPHERE_LLT_GRID, a Python library which computes a grid of triangles bounded by latitude and longitude lines over the surface of a sphere in 3D.

SPHERE_MONTE_CARLO, a Python library which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in 3D;

SQUARE_GRID, a Python library which computes a grid of points over the interior of a square in 2D.

TETRAHEDRON_GRID, a Python library which computes a grid of points over the interior of a tetrahedron in 3D.

TRIANGLE_GRID, a Python library which computes a grid of points over the interior of a triangle in 2D.

WEDGE_GRID, a Python library which computes a grid of points over the interior of the unit wedge in 3D.

Source Code:

• i4mat_print.py, prints an I4MAT.
• i4mat_print_some.py, prints some of an I4MAT.
• r8vec_print.py, prints an R8VEC.
• sphere_llq_grid_display.py, displays an LLQ grid on the surface of a sphere in 3D.
• sphere_llq_grid_line_count.py, counts lines on an LLQ grid on the surface of a sphere in 3D.
• sphere_llq_grid_lines.py, produces lines on an LLQ grid on the surface of a sphere in 3D.
• sphere_llq_grid_point_count.py, counts points on an LLQ grid on the surface of a sphere in 3D.
• sphere_llq_grid_points.py, produces points on an LLQ grid on the surface of a sphere in 3D.
• timestamp.py, prints the current YMDHMS date as a time stamp.

Examples and Tests:

• sphere_llq_grid_test.py, calls all the tests;
• sphere_llq_grid_test.sh, runs all the tests;
• sphere_llq_grid_test.txt, the output file.
• sphere_llq_grid.png, an image of an LLQ grid on the surface of a sphere in 3D.

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