BOX_PLOT
Integer Data Box Plots

BOX_PLOT is a MATLAB program which reads a file of integer coordinates and associated colors, and makes a plot, placing a unit box of the given color at each coordinate.

Usage:

box_plot ( 'input_filename' )

• 'input_filename' contains xy point coordinates and rgb colors.

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:

BAR_PLOT, a FORTRAN90 program which reads a set of data from a file and creates a bar plot.

CC_DISPLAY, a MATLAB program which displays the abscissas used in various kinds of Clenshaw Curtis quadrature rules.

GL_DISPLAY, a MATLAB program which displays the abscissas used in various kinds of Gauss Legendre quadrature rules.

GRIDLINES, a MATLAB library which gives the user more control over drawing gridlines on a graph than the builtin "grid on" command.

PLOT_POINTS, a FORTRAN90 program which reads a set of points from a file and plots them into an Encapsulated PostScript file.

XY_DISPLAY, a MATLAB program which reads a set of 2D points from a file and plots them in a the MATLAB graphics window.

XYF_DISPLAY, a MATLAB program which reads XYF information defining points and faces in 2D, and displays an image in a MATLAB graphics window.

XYL_DISPLAY, a MATLAB program which reads XYL information defining points and lines in 2D, and displays an image in a MATLAB graphics window.

XYZ_DISPLAY, a MATLAB program which reads a set of 3D points from a file and plots them in a the MATLAB graphics window.

Source Code:

• box_plot.m the source code.

Examples and Tests:

ALPHA_1.0_1.0 prints some of the 64 pairs of values on an 8 by 8 grid. Blue indicates "old" data, and red "new".

• alpha_1.0_1.0.txt, the coordinates and colors.
• alpha_1.0_1.0.png, a PNG image of a plot of the points.

ALPHA_1.0_1.5 prints some of the 64 pairs of values on an 8 by 8 grid. Blue indicates "old" data, and red "new".

• alpha_1.0_1.5.txt, the coordinates and colors.
• alpha_1.0_1.5.png, a PNG image of a plot of the points.

ALPHA_1.0_2.0 prints some of the 64 pairs of values on an 8 by 8 grid. Blue indicates "old" data, and red "new".

• alpha_1.0_2.0.txt, the coordinates and colors.
• alpha_1.0_2.0.png, a PNG image of a plot of the points.

BOXES suggests the monomials that are exactly integrated by a 2D Clenshaw-Curtis sparse grid of levels 0 through 4. Monomials added on this level are red, old ones are blue. A common 20x20 grid is used for all the plots.

• boxes_level0.txt, the coordinates and colors.
• boxes_level0.png, a PNG image of a plot of the points.
• boxes_level1.txt, the coordinates and colors.
• boxes_level1.png, a PNG image of a plot of the points.
• boxes_level2.txt, the coordinates and colors.
• boxes_level2.png, a PNG image of a plot of the points.
• boxes_level3.txt, the coordinates and colors.
• boxes_level3.png, a PNG image of a plot of the points.
• boxes_level4.txt, the coordinates and colors.
• boxes_level4.png, a PNG image of a plot of the points.

CC looks at the monomials that are exactly integrated by 2D Clenshaw-Curtis sparse grids of levels 0 through 6, using a common 35x35 grid.

• cc_level0.txt, the coordinates and colors.
• cc_level0.png,
• cc_level1.txt, the coordinates and colors.
• cc_level1.png,
• cc_level2.txt, the coordinates and colors.
• cc_level2.png,
• cc_level3.txt, the coordinates and colors.
• cc_level3.png,
• cc_level4.txt, the coordinates and colors.
• cc_level4.png,
• cc_level5.txt, the coordinates and colors.
• cc_level5.png,
• cc_level6.txt, the coordinates and colors.
• cc_level6.png, (note that the data in columns 0 and 1, and rows 0 and 1, goes off the scale, to 65).

CCS looks at the monomials that are exactly integrated by 2D Clenshaw-Curtis "Slow exponential" sparse grids of levels 0 through 6, using a common 35x35 grid. This is a variant of the Clenshaw Curtis rule that tries to delay the exponential growth of the orders. Differences only appear once level 4 has been reached.

• ccs_level0.txt, the coordinates and colors.
• ccs_level0.png,
• ccs_level1.txt, the coordinates and colors.
• ccs_level1.png,
• ccs_level2.txt, the coordinates and colors.
• ccs_level2.png,
• ccs_level3.txt, the coordinates and colors.
• ccs_level3.png,
• ccs_level4.txt, the coordinates and colors.
• ccs_level4.png,
• ccs_level5.txt, the coordinates and colors.
• ccs_level5.png,
• ccs_level6.txt, the coordinates and colors.
• ccs_level6.png,

CHECKERBOARD is a set of 64 pairs of integers and colors that correspond to a checkerboard.

• checkerboard.txt, the coordinates and colors.
• checkerboard.png, a PNG image of a plot of the points.

CLAY is a set of pairs of integers that record the basic method (1,1) in blue, some low order methods in green, and secondary refinements in red.

• clay.txt, the coordinates and colors.
• clay.png, a PNG image of a plot of the points.

F is a set of points that can make the letter F:

• f.txt, the coordinates and colors.
• f.png, a PNG image of a plot of the points.

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