# RandConditional¶

class poisson_approval.RandConditional(factory, test, n_trials_max)[source]

A random factory of something that meets a given test.

Parameters: factory (callable or tuple) – This can be: Either a callable that takes no input and that outputs a (random) something, Or a tuple of such factories (cf. examples below). test (callable) – A function that take as input(s) the output(s) of the factory(ies) and that returns a Boolean. n_trials_max (int or None) – The maximum number of trials. If None, then attempts will be made until finding an example. The option None should be used with extreme care since it may lead to an infinite loop. If there is one factory, then return a something that meets the given test. If there is a tuple of factories, then return a tuple of generated objects that meets the given test. In both cases, if no example is found within n_trials_max attempts, then return None. object or tuple or None

Examples

In this basic example with one factory, we generate a random integer between 0 included and 100 excluded that is divisible by 7:

>>> import numpy as np
>>> initialize_random_seeds()
>>> def rand_integer():
...     return np.random.randint(0, 100)
>>> def test_divisible_7(n):
...     return n % 7 == 0
>>> rand_conditional = RandConditional(factory=rand_integer,
...                                    test=test_divisible_7, n_trials_max=None)
>>> rand_conditional()
21


In this example with a tuple of factories, we generate a random 2*2 matrix and a random vector of size 2, both with integer coefficients between -10 included and 11 excluded, such that their dot product is null, but without being null themselves:

>>> import numpy as np
>>> initialize_random_seeds()
>>> def rand_matrix():
...     return np.random.randint(-10, 11, (2, 2))
>>> def rand_vector():
...     return np.random.randint(-10, 11, 2)
>>> def test_non_trivial_dot_zero(matrix, vector):
...     return (np.all(np.dot(matrix, vector) == 0)
...             and not np.all(matrix == 0) and not np.all(vector == 0))
>>> rand_conditional = RandConditional(factory=(rand_matrix, rand_vector),
...                                    test=test_non_trivial_dot_zero, n_trials_max=None)
>>> matrix, vector = rand_conditional()
>>> matrix
array([[ 2, -8],
[-1,  4]])
>>> vector
array([-4, -1])


When no example is found, the factory returns None:

>>> import numpy as np
>>> def rand_integer():
...     return np.random.randint(0, 100)
>>> def is_negative(n):
...     return n < 0
>>> rand_conditional = RandConditional(factory=rand_integer,
...                                    test=is_negative, n_trials_max=100)
>>> n = rand_conditional()
>>> print(n)
None