stroud_rule_test

stroud_rule_test, a MATLAB code which calls stroud_rule(), which defines quadrature rules for a variety of M-dimensional regions, including the interior of the square, cube and hypercube, the pyramid, cone and ellipse, the hexagon, the M-dimensional octahedron, the circle, sphere and hypersphere, the triangle, tetrahedron and simplex, and the surface of the circle, sphere and hypersphere.

Licensing:

The information on this web page is distributed under the MIT license.

Related Data and Programs:

stroud_rule, an Octave code which defines quadrature rules for a variety of M-dimensional regions, including the interior of the square, cube and hypercube, the pyramid, cone and ellipse, the hexagon, the M-dimensional octahedron, the circle, sphere and hypersphere, the triangle, tetrahedron and simplex, and the surface of the circle, sphere and hypersphere.

Source Code:

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

• stroud_test01.m, tests BALL_F1_ND and BALL_F3_ND.
• stroud_test02.m, tests SPHERE_UNIT_MONOMIAL_ND.
• stroud_test03.m, tests BALL_UNIT_07_3D, BALL_UNIT_14_3D and BALL_UNIT_15_3D.
• stroud_test04.m, tests BALL_UNIT_F1_ND, BALL_UNIT_F3_ND.
• stroud_test045.m, tests BALL_UNIT_VOLUME_3D, BALL_UNIT_VOLUME_ND.
• stroud_test05.m, tests BALL_UNIT_VOLUME_ND.
• stroud_test052.m, tests BALL_VOLUME_3D, BALL_VOLUME_ND.
• stroud_test054.m, tests BALL_VOLUME_ND.
• stroud_test07.m, tests CIRCLE_ANNULUS.
• stroud_test08.m, tests CIRCLE_ANNULUS, CIRCLE_RT_SET, and CIRCLE_RT_SUM.
• stroud_test085.m, tests CIRCLE_ANNULUS_AREA_2D.
• stroud_test09.m, tests CIRCLE_ANNULUS_SECTOR, CIRCLE_RT_SET, and CIRCLE_RT_SUM.
• stroud_test10.m, tests CIRCLE_CUM.
• stroud_test11.m, tests LENS_HALF_AREA_2D, CIRCLE_SECTOR_AREA_2D and CIRCLE_TRIANGLE_AREA_2D.
• stroud_test12.m, tests LENS_HALF_AREA_2D, LENS_H_HALF_AREA_2D, LENS_W_HALF_AREA_2D.
• stroud_test13.m, tests CIRCLE_SECTOR and CIRCLE_SECTOR_AREA_2D.
• stroud_test14.m, tests CIRCLE_SECTOR, CIRCLE_RT_SET and CIRCLE_RT_SUM.
• stroud_test15.m, tests CIRCLE_RT_SET and CIRCLE_RT_SUM.
• stroud_test16.m, tests CIRCLE_XY_SET and CIRCLE_XY_SUM.
• stroud_test163.m, tests the CN_GEG rules for the unit hypercube with the Gegenbauer weight.
• cn_geg_test.m, tests the CN_GEG rules for the unit hypercube with the Gegenbauer weight and a particular monomial.
• stroud_test165.m, tests the CN_JAC rules for the unit hypercube with the Jacobi weight.
• cn_jac_test.m, tests the CN_JAC rules for the unit hypercube with the Jacobi weight and a particular monomial.
• stroud_test167.m, tests the CN_LEG rules for the unit hypercube with the Legendre weight.
• cn_leg_test.m, tests the CN_LEG rules for the unit hypercube with the Legendre weight and a particular monomial.
• stroud_test17.m, tests CONE_UNIT_3D and CONE_VOLUME_3D.
• stroud_test18.m, tests CUBE_SHELL_ND.
• stroud_test19.m, tests CUBE_UNIT_3D, CUBE_UNIT_ND, QMULT_3D and RECTANGLE_3D.
• stroud_test20.m, tests CUBE_UNIT_ND.
• stroud_test205.m, tests ELLIPSE_AREA_2D, ELLIPSE_CIRCUMFERENCE_2D and ELLIPSE_ECCENTRICITY_2D.
• stroud_test207.m, tests EN_R2 rules for various monomials.
• en_r2_test.m, tests EN_R2 rules for a particular monomial.
• stroud_test2075.m, tests EPN_GLG rules for various monomials.
• epn_glg_test.m, tests EPN_GLG rules for a particular monomial.
• stroud_test208.m, tests EPN_LAG rules for various monomials.
• epn_lag_test.m, tests EPN_LAG rules for a particular monomial.
• stroud_test21.m, tests HEXAGON_UNIT_SET and HEXAGON_SUM.
• stroud_test215.m, tests LENS_HALF_2D.
• stroud_test22.m, tests OCTAHEDRON_UNIT_ND.
• stroud_test23.m, tests PARALLELIPIPED_VOLUME_ND.
• stroud_test24.m, tests POLYGON_1_2D, POLYGON_X_2D, POLYGON_Y_2D, POLYGON_XX_2D, POLYGON_XY_2D and POLYGON_YY_2D.
• stroud_test25.m, tests PYRAMID_UNIT_O**_3D and PYRAMID_UNIT_VOLUME_3D.
• stroud_test255.m, tests PYRAMID_UNIT_MONOMIAL_3D.
• stroud_test26.m, tests QMULT_1D.
• stroud_test27.m, tests SIMPLEX_ND.
• stroud_test28.m, tests SIMPLEX_VOLUME_ND.
• stroud_test29.m, tests SIMPLEX_UNIT_01_ND, SIMPLEX_UNIT_03_ND, SIMPLEX_UNIT_05_ND and SIMPLE_UNIT_05_2_ND.
• stroud_test30.m, tests SPHERE_UNIT_07_3D, SPHERE_UNIT_11_3D, SPHERE_UNIT_14_3D and SPHERE_UNIT_15_3D.
• stroud_test31.m, tests SPHERE_UNIT_03_ND, SPHERE_UNIT_04_ND, SPHERE_UNIT_05_ND, SPHERE_UNIT_07_1_ND, SPHERE_UNIT_07_2_ND and SPHERE_UNIT_11_ND.
• stroud_test32.m, tests SPHERE_05_ND and SPHERE_07_1_ND.
• stroud_test322.m, tests SPHERE_CAP_AREA_3D and SPHERE_CAP_AREA_ND.
• stroud_test324.m, tests SPHERE_CAP_VOLUME_2D and SPHERE_CAP_VOLUME_ND.
• stroud_test326.m, tests SPHERE_CAP_VOLUME_3D and SPHERE_CAP_VOLUME_ND.
• stroud_test33.m, tests SPHERE_CAP_AREA_ND.
• stroud_test335.m, tests SPHERE_SHELL_03_ND.
• stroud_test34.m, tests SPHERE_UNIT_AREA_ND.
• stroud_test345.m, tests SPHERE_UNIT_VOLUME_ND, SPHERE_UNIT_VOLUME_VALUES.
• stroud_test35.m, tests SQUARE_UNIT_SET and RECTANGLE_SUB_2D.
• stroud_test36.m, tests SQUARE_UNIT_SET and SQUARE_SUM.
• stroud_test37.m, tests SQUARE_UNIT_SET and SQUARE_SUM.
• stroud_test38.m, tests TETRA_07 and TETRA_TPRODUCT.
• stroud_test39.m, tests TETRA_UNIT_SET and TETRA_UNIT_SUM.
• stroud_test40.m, tests TETRA_UNIT_SET and TETRA_SUM.
• stroud_test41.m, tests TRIANGLE_UNIT_SET and TRIANGLE_SUB.
• stroud_test42.m, tests TRIANGLE_UNIT_SET and TRIANGLE_UNIT_SUM.
• stroud_test425.m, tests TRIANGLE_UNIT_SET.
• stroud_test43.m, tests TRIANGLE_UNIT_PRODUCT_SET and TRIANGLE_UNIT_SUM.
• stroud_test44.m, tests TRIANGLE_UNIT_SET and TRIANGLE_SUM.
• stroud_test45.m, tests TORUS_1.
• stroud_test46.m, tests TORUS_5S2, TORUS_6S2 and TORUS_14S.
• stroud_test47.m, tests TORUS_SQUARE_5C2 and TORUS_SQUARE_14C.
• stroud_test48.m, tests TVEC_EVEN, TVEC_EVEN2, TVEC_EVEN3.
• stroud_test49.m, tests TVEC_EVEN_BRACKET, TVEC_EVEN_BRACKET2, TVEC_EVEN_BRACKET3.

• f_1_2d.m, returns the function 1 in 2D.
• f_x_2d.m, returns the function X in 2D.
• f_r_2d.m, returns the function R in 2D.
• fl_18.m, returns the lower limit of integration as a function of X.
• fl_28.m, returns the lower limit of integration as a function of X and Y.
• fu_18.m, returns the upper limit of integration as a function of X.
• fu_28.m, returns the upper limit of integration as a function of X and Y.
• function_1d.m, evaluates the current 1D function.
• function_1d_name.m, returns the name of the current 1D function.
• function_1d_num.m, returns the number of 1D functions.
• function_1d_set.m, sets or gets the current 1D function.
• function_2d.m, evaluates the current 2D function.
• function_2d_name.m, returns the name of the current 2D function.
• function_2d_num.m, returns the number of 2D functions.
• function_2d_set.m, sets or gets the current 2D function.
• function_3d.m, evaluates the current 3D function.
• function_3d_name.m, returns the name of the current 3D function.
• function_3d_num.m, returns the number of 3D functions.
• function_3d_set.m, sets or gets the current 3D function.
• func_nd.m, evaluates the current ND function.
• function_nd_name.m, returns the name of the current ND function.
• function_nd_num.m, returns the number of ND functions.
• funcset.m, sets or gets the index of the current ND function.
• mono_000_3d.m, evaluates the monomial F(X,Y,Z)=1.
• mono_111_3d.m, evaluates the monomial F(X,Y,Z)=X*Y*Z.
• mono_202_3d.m, evaluates the monomial F(X,Y,Z)=X^2*Z^2.
• mono_422_3d.m, evaluates the monomial F(X,Y,Z)=X^4*Y^2*Z^2.
• setsim.m, returns the vertices of a simplex in ND.