Source code for preliz.distributions.uniform

import numpy as np
from pytensor_distributions import uniform as ptd_uniform

from preliz.distributions.distributions import Continuous
from preliz.internal.distribution_helper import all_not_none, pytensor_jit, pytensor_rng_jit




class Uniform(Continuous):
    r"""
    Uniform distribution.

    The pdf of this distribution is

    .. math:: f(x \mid lower, upper) = \frac{1}{upper-lower}

    .. plot::
        :context: close-figs


        from preliz import Uniform, style
        style.use('preliz-doc')
        ls = [1, -2]
        us = [6, 2]
        for l, u in zip(ls, us):
            ax = Uniform(l, u).plot_pdf()
        ax.set_ylim(0, 0.3)

    ========  =====================================
    Support   :math:`x \in [lower, upper]`
    Mean      :math:`\dfrac{lower + upper}{2}`
    Variance  :math:`\dfrac{(upper - lower)^2}{12}`
    ========  =====================================

    Parameters
    ----------
    lower: float
        Lower limit.
    upper: float
        Upper limit (upper > lower).
    """

    def __init__(self, lower=None, upper=None):
        super().__init__()
        self._parametrization(lower, upper)

    def _parametrization(self, lower=None, upper=None):
        self.lower = lower
        self.upper = upper
        self.params = (self.lower, self.upper)
        self.param_names = ("lower", "upper")
        self.params_support = ((-np.inf, np.inf), (-np.inf, np.inf))
        if lower is None:
            self.lower = -np.inf
        if upper is None:
            self.upper = np.inf
        self.support = (self.lower, self.upper)
        if all_not_none(lower, upper):
            self._update(lower, upper)
        else:
            self.lower = lower
            self.upper = upper

    def _update(self, lower, upper):
        self.lower = np.float64(lower)
        self.upper = np.float64(upper)
        self.params = (self.lower, self.upper)
        self.support = (self.lower, self.upper)

        self.is_frozen = True



    def pdf(self, x):
        return ptd_pdf(x, self.lower, self.upper)




    def cdf(self, x):
        return ptd_cdf(x, self.lower, self.upper)




    def ppf(self, q):
        return ptd_ppf(q, self.lower, self.upper)




    def logpdf(self, x):
        return ptd_logpdf(x, self.lower, self.upper)




    def entropy(self):
        return ptd_entropy(self.lower, self.upper)




    def mean(self):
        return ptd_mean(self.lower, self.upper)




    def mode(self):
        return ptd_mode(self.lower, self.upper)




    def median(self):
        return ptd_median(self.lower, self.upper)




    def var(self):
        return ptd_var(self.lower, self.upper)




    def std(self):
        return ptd_std(self.lower, self.upper)




    def skewness(self):
        return ptd_skewness(self.lower, self.upper)




    def kurtosis(self):
        return ptd_kurtosis(self.lower, self.upper)




    def lmoment1(self):
        return ptd_lmoment1(self.lower, self.upper)




    def lmoment2(self):
        return ptd_lmoment2(self.lower, self.upper)




    def lmoment3(self):
        return ptd_lmoment3(self.lower, self.upper)




    def lmoment4(self):
        return ptd_lmoment4(self.lower, self.upper)




    def rvs(self, size=None, random_state=None):
        random_state = np.random.default_rng(random_state)
        return ptd_rvs(self.lower, self.upper, size=size, rng=random_state)


    def _fit_moments(self, mean, sigma):
        lower = mean - 1.73205 * sigma
        upper = mean + 1.73205 * sigma
        self._update(lower, upper)

    def _fit_mle(self, sample):
        lower = np.min(sample)
        upper = np.max(sample)
        self._update(lower, upper)



@pytensor_jit
def ptd_pdf(x, lower, upper):
    return ptd_uniform.pdf(x, lower, upper)


@pytensor_jit
def ptd_cdf(x, lower, upper):
    return ptd_uniform.cdf(x, lower, upper)


@pytensor_jit
def ptd_ppf(q, lower, upper):
    return ptd_uniform.ppf(q, lower, upper)


@pytensor_jit
def ptd_logpdf(x, lower, upper):
    return ptd_uniform.logpdf(x, lower, upper)


@pytensor_jit
def ptd_entropy(lower, upper):
    return ptd_uniform.entropy(lower, upper)


@pytensor_jit
def ptd_mean(lower, upper):
    return ptd_uniform.mean(lower, upper)


@pytensor_jit
def ptd_mode(lower, upper):
    return ptd_uniform.mode(lower, upper)


@pytensor_jit
def ptd_median(lower, upper):
    return ptd_uniform.median(lower, upper)


@pytensor_jit
def ptd_var(lower, upper):
    return ptd_uniform.var(lower, upper)


@pytensor_jit
def ptd_std(lower, upper):
    return ptd_uniform.std(lower, upper)


@pytensor_jit
def ptd_skewness(lower, upper):
    return ptd_uniform.skewness(lower, upper)


@pytensor_jit
def ptd_kurtosis(lower, upper):
    return ptd_uniform.kurtosis(lower, upper)


@pytensor_jit
def ptd_lmoment1(lower, upper):
    return ptd_uniform.lmoment1(lower, upper)


@pytensor_jit
def ptd_lmoment2(lower, upper):
    return ptd_uniform.lmoment2(lower, upper)


@pytensor_jit
def ptd_lmoment3(lower, upper):
    return ptd_uniform.lmoment3(lower, upper)


@pytensor_jit
def ptd_lmoment4(lower, upper):
    return ptd_uniform.lmoment4(lower, upper)


@pytensor_rng_jit
def ptd_rvs(lower, upper, size, rng):
    return ptd_uniform.rvs(lower, upper, size=size, random_state=rng)