The rand_bytes
function binds to RAND_bytes in
OpenSSL to generate cryptographically strong pseudo-random bytes. See
the OpenSSL documentation for what this means.
[1] 7a 3b dd 51 71 e6 0c 2e 02 0f
Bytes are 8 bit and hence can have 2^8 = 256 possible
values.
[1] 122 59 221 81 113 230 12 46 2 15
Each random byte can be decomposed into 8 random bits (booleans)
[1] FALSE TRUE FALSE TRUE FALSE FALSE TRUE TRUE
rand_num is a simple (2 lines) wrapper to
rand_bytes to generate random numbers (doubles) between 0
and 1.
[1] 0.002821348 0.403886210 0.716884793 0.533095481 0.443558997 0.620990096
[7] 0.370951481 0.054201399 0.796817197 0.218151450
To map random draws from [0,1] into a probability density, we can use
a Cumulative
Distribution Function. For example we can combine qnorm
and rand_num to simulate rnorm:
Same for discrete distributions: