add exponential dist, IDENT constant

doc fixes
This commit is contained in:
Adrian Mariano
2022-03-25 23:35:07 -04:00
parent 00e26bfaed
commit 6b02a595a2
3 changed files with 22 additions and 12 deletions

View File

@@ -567,17 +567,22 @@ function gaussian_rands(n=1, mean=0, cov=1, seed=undef) =
move(mean,list_to_matrix(rdata,dim)*transpose(L));
// Function: spherical_random_points()
// Function: exponential_rands()
// Usage:
// points = spherical_random_points([n], [radius], [seed]);
// See Also: random_polygon(), random_points()
// Topics: Random, Points
// arr = exponential_rands([n], [lambda], [seed])
// Description:
// Generate `n` 3D uniformly distributed random points lying on a sphere centered at the origin with radius equal to `radius`.
// Returns random numbers with an exponential distribution with parameter lambda, and hence mean 1/lambda.
// Arguments:
// n = number of points to generate. Default: 1
// radius = the sphere radius. Default: 1
// seed = an optional seed for the random generation.
// n = number of points to return. Default: 1
// lambda = distribution parameter. The mean will be 1/lambda. Default: 1
function exponential_rands(n=1, lambda=1, seed) =
assert( is_int(n) && n>=1, "The number of points should be an integer greater than zero.")
assert( is_num(lambda) && lambda>0, "The lambda parameter must be a positive number.")
let(
unif = is_def(seed) ? rands(0,1,n,seed=seed) : rands(0,1,n)
)
-(1/lambda) * [for(x=unif) ln(1-x)];
// See https://mathworld.wolfram.com/SpherePointPicking.html
function spherical_random_points(n=1, radius=1, seed) =