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jax.numpy.log1p — JAX documentation

jax.numpy.log1p(x, /)[source]#

Calculates element-wise logarithm of one plus input, log(x+1).

JAX implementation of numpy.log1p.

Parameters:

x (ArrayLike) – input array or scalar.

Returns:

An array containing the logarithm of one plus of each element in x, promotes to inexact dtype.

Return type:

Array

Note

jnp.log1p is more accurate than when using the naive computation of log(x+1) for small values of x.

Examples

>>> x = jnp.array([2, 5, 9, 4])
>>> jnp.allclose(jnp.log1p(x), jnp.log(x+1))
Array(True, dtype=bool)

For values very close to 0, jnp.log1p(x) is more accurate than jnp.log(x+1):

>>> x1 = jnp.array([1e-4, 1e-6, 2e-10])
>>> jnp.expm1(jnp.log1p(x1))  
Array([1.00000005e-04, 9.99999997e-07, 2.00000003e-10], dtype=float32)
>>> jnp.expm1(jnp.log(x1+1))  
Array([1.000166e-04, 9.536743e-07, 0.000000e+00], dtype=float32)

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