Title: | Cubature on the 2-sphere |
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Description: | Cubature methods for numerical integration over the sphere, such as angular averaging over the full solid angle |
Authors: | Baptiste Auguie [aut, cre] |
Maintainer: | Baptiste Auguie <[email protected]> |
License: | Mozilla Public License Version 2.0 |
Version: | 0.1.0 |
Built: | 2024-12-19 05:23:46 UTC |
Source: | https://github.com/nano-optics/cubs |
Cubature methods for orientation averaging.
Cubature methods for orientation averaging.
baptiste Auguie
cubature points on a sphere
cubs( N = 30, cubature = c("lebedev", "sphericaldesigns", "gl", "fibonacci", "grid", "qmc", "random") )
cubs( N = 30, cubature = c("lebedev", "sphericaldesigns", "gl", "fibonacci", "grid", "qmc", "random") )
N |
number of integration points |
cubature |
method: one of 'lebedev', 'sphericaldesigns', 'gl', 'fibonacci', 'grid', 'qmc', 'random' |
Numerical integration points for angular averaging
baptiste Auguie
cubature points on a sphere
is_valid_GL(N) is_valid_grid(N) is_valid_fibonacci(N)
is_valid_GL(N) is_valid_grid(N) is_valid_fibonacci(N)
N |
number of integration points |
Tests if a number of points is valid
baptiste Auguie
Nodes and weights of Lebedev cubatures
lebedev
lebedev
data.frame with 3 columns
azmuth
polar angle
weight
https://people.sc.fsu.edu/~jburkardt/c_src/sphere_lebedev_rule/sphere_lebedev_rule.html
nodes and weights
nodes and weights
valid numbers
valid numbers
valid numbers
valid numbers
valid numbers
lebedev_table sphericaldesigns_table gl_table grid_table qmc_table random_table fibonacci_table
lebedev_table sphericaldesigns_table gl_table grid_table qmc_table random_table fibonacci_table
data.frame with 2 columns
data.frame with 2 columns
vector
vector
vector
vector
vector
https://people.sc.fsu.edu/~jburkardt/c_src/sphere_lebedev_rule/sphere_lebedev_rule.html
https://people.sc.fsu.edu/~jburkardt/c_src/sphere_lebedev_rule/sphere_lebedev_rule.html
Nodes and weights of spherical t-designs
sphericaldesigns
sphericaldesigns
data.frame with 3 columns
azmuth
polar angle
weight
https://web.maths.unsw.edu.au/~rsw/Sphere/EffSphDes/