Source code for jax._src.scipy.stats.wrapcauchy

# Copyright 2023 The JAX Authors.
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# Licensed under the Apache License, Version 2.0 (the "License");
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import scipy.stats as osp_stats
from jax import lax
import jax.numpy as jnp
from jax._src.lax.lax import _const as _lax_const
from jax._src.numpy.util import implements, promote_args_inexact
from jax._src.typing import Array, ArrayLike


[docs] @implements(osp_stats.wrapcauchy.logpdf, update_doc=False) def logpdf(x: ArrayLike, c: ArrayLike) -> Array: x, c = promote_args_inexact('wrapcauchy.logpdf', x, c) return jnp.where( lax.gt(c, _lax_const(c, 0)) & lax.lt(c, _lax_const(c, 1)), jnp.where( lax.ge(x, _lax_const(x, 0)) & lax.le(x, _lax_const(x, jnp.pi * 2)), jnp.log(1 - c * c) - jnp.log(2 * jnp.pi) - jnp.log(1 + c * c - 2 * c * jnp.cos(x)), -jnp.inf, ), jnp.nan, )
[docs] @implements(osp_stats.wrapcauchy.pdf, update_doc=False) def pdf(x: ArrayLike, c: ArrayLike) -> Array: return lax.exp(logpdf(x, c))