cc_display_test

cc_display_test, a MATLAB code which calls cc_display(), which displays the abscissas used in a 2D quadrature rule.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Related Data and Programs:

cc_display, a MATLAB code which displays the points used in a 2D Clenshaw-Curtis quadrature rule;

Source Code:

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

CC_GRID_DISPLAY displays a single Clenshaw Curtis 2D grid of orders M by N:

• cc_grid_2x16.png, a PNG image of a 2 by 16 Clenshaw Curtis grid.
• cc_grid_5x9.png, a PNG image of a 5 by 9 Clenshaw Curtis grid.

CC_GRIDS_MINMAX_DISPLAY displays all Clenshaw Curtis grids of orders M by N such that M+N is between Q_MIN and Q_MAX:

• cc_grids_minmax_2to2.png, a PNG image of Clenshaw Curtis grids with Q_MIN = Q_MAX = 2.
• cc_grids_minmax_3to3.png, a PNG image of Clenshaw Curtis grids with Q_MIN = Q_MAX = 3.
• cc_grids_minmax_4to4.png, a PNG image of Clenshaw Curtis grids with Q_MIN = Q_MAX = 4.
• cc_grids_minmax_5to5.png, a PNG image of Clenshaw Curtis grids with Q_MIN = Q_MAX = 5.
• cc_grids_minmax_6to6.png, a PNG image of Clenshaw Curtis grids with Q_MIN = Q_MAX = 6.

CC_LEVELS_MINMAX_DISPLAY displays all Clenshaw Curtis grids of levels M by N such that M+N is between LEVEL_MIN and LEVEL_MAX. Note that the order, or number of points, in the one dimensional rules, is related to the one dimensional levels by ORDER=2**LEVEL+1 (except that the LEVEL=0 corresponds to ORDER=1):

• cc_levels_minmax_0to0.png, a PNG image of Clenshaw Curtis grids with LEVEL_MIN = LEVEL_MAX = 0.
• cc_levels_minmax_1to1.png, a PNG image of Clenshaw Curtis grids with LEVEL_MIN = LEVEL_MAX = 1.
• cc_levels_minmax_2to2.png, a PNG image of Clenshaw Curtis grids with LEVEL_MIN = LEVEL_MAX = 2.
• cc_levels_minmax_3to3.png, a PNG image of Clenshaw Curtis grids with LEVEL_MIN = LEVEL_MAX = 3.
• cc_levels_minmax_4to4.png, a PNG image of Clenshaw Curtis grids with LEVEL_MIN = LEVEL_MAX = 4.
• cc_levels_minmax_5to5.png, a PNG image of Clenshaw Curtis grids with LEVEL_MIN = LEVEL_MAX = 5.
• cc_levels_minmax_6to6.png, a PNG image of Clenshaw Curtis grids with LEVEL_MIN = LEVEL_MAX = 6.

CC_GRIDS_CONSTRAINED_DISPLAY displays all Clenshaw Curtis grids of orders M by N such that M and N lie between ORDER_MIN and ORDER_MAX, and ALPHA1*M+ALPHA2*N<=Q_MAX:

• cc_grids_constrained_plot1.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 13, ALPHA=[2,3], ORDER_MIN=[1,1], ORDER_MAX=[5,5].
• cc_grids_constrained_plot2.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 16, ALPHA=[2,3], ORDER_MIN=[1,1], ORDER_MAX=[5,5].
• cc_grids_constrained_plot3.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 20, ALPHA=[2,3], ORDER_MIN=[1,1], ORDER_MAX=[5,5].
• cc_grids_constrained_plot4.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 20, ALPHA=[2,3], ORDER_MIN=[1,1], ORDER_MAX=[8,8].
• cc_grids_constrained_plot5.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 20, ALPHA=[5,2], ORDER_MIN=[1,1], ORDER_MAX=[8,8].
• cc_grids_constrained_plot6.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 30, ALPHA=[5,2], ORDER_MIN=[1,1], ORDER_MAX=[8,8].

CC_LEVELS_CONSTRAINED_DISPLAY displays all Clenshaw Curtis grids of levels M by N such that M and N lie between LEVELS_MIN and LEVELS_MAX, and ALPHA1*M+ALPHA2*N<=Q_MAX:

• cc_levels_constrained_plot1.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 13, ALPHA=[2,3], LEVEL_MIN=[1,1], LEVEL_MAX=[5,5].
• cc_levels_constrained_plot2.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 16, ALPHA=[2,3], LEVEL_MIN=[1,1], LEVEL_MAX=[5,5].
• cc_levels_constrained_plot3.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 20, ALPHA=[2,3], LEVEL_MIN=[1,1], LEVEL_MAX=[5,5].
• cc_levels_constrained_plot4.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 20, ALPHA=[2,3], LEVEL_MIN=[1,1], LEVEL_MAX=[8,8].
• cc_levels_constrained_plot5.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 20, ALPHA=[5,2], LEVEL_MIN=[1,1], LEVEL_MAX=[8,8].
• cc_levels_constrained_plot6.png, a PNG image of Clenshaw Curtis grids with Q_MAX = 30, ALPHA=[5,2], LEVEL_MIN=[1,1], LEVEL_MAX=[8,8].