float sample_normal(float u)
float sample_normal(float mean, float stddev, float u)
float sample_normal(float origmean, float origstddev, float minvalue, float maxvalue, float u)
vector2 sample_normal(vector2 u)
vector sample_normal(vector u)
vector4 sample_normal(vector4 u)
u
A number, or multiple numbers, in the range [0,1).
mean
The mean of the distribution, or 0 if not specified.
origmean
The mean the distribution would have, were it not for minvalue
and maxvalue, limiting the range.
stddev
The standard deviation (scale) of the distribution, or 1 if not specified.
origstddev
The standard deviation (scale) the distribution would have, were it
not for minvalue and maxvalue, limiting the range.
minvalue,maxvalue
When given, instead of sampling the full normal distribution,
the distribution with its range limited to [minvalue,maxvalue] will be
sampled.
Samples the normal distribution with the specified mean and stddev, optionally
with a minvalue and maxvalue.
Given uniform random u values in [0,1), this will return normally
distributed random numbers. The return value will be monotone increasing
with respect to u.
The vector2, vector, and vector4 versions
return multiple samples with mean 0 and standard deviation 1. The
distribution of these vectors is naturally isotropic, i.e. rotating
the distribution won’t change it, which can be useful in simulations.
To add a maximum distance from the origin, while keeping the distribution
isotropic, use:
sample_normal(0,1,0,maxdist,u.x) * sample_direction_uniform(set(u.y,u.z))
| See also |