dpnp.log10
- dpnp.log10(x, out=None, where=True, order='K', dtype=None, subok=True, **kwargs)
Computes the base-10 logarithm for each element \(x_i\) of input array x.
For full documentation refer to
numpy.log10
.- Parameters:
x ({dpnp.ndarray, usm_ndarray}) -- Input array, expected to have a floating-point data type.
out ({None, dpnp.ndarray, usm_ndarray}, optional) --
Output array to populate. Array must have the correct shape and the expected data type.
Default:
None
.order ({None, "C", "F", "A", "K"}, optional) --
Memory layout of the newly output array, if parameter out is
None
.Default:
"K"
.
- Returns:
out -- An array containing the element-wise base-10 logarithm of x. The data type of the returned array is determined by the Type Promotion Rules.
- Return type:
dpnp.ndarray
Limitations
Parameters where and subok are supported with their default values. Keyword argument kwargs is currently unsupported. Otherwise
NotImplementedError
exception will be raised.See also
dpnp.log
Calculate \(\log(x)\), element-wise.
dpnp.log2
Calculate \(\log_2(x)\), element-wise.
dpnp.log1p
Calculate \(\log(1 + x)\), element-wise.
Notes
dpnp.log10
is a multivalued function: for each x there are infinitely many numbers z such that \(10^z = x\). The convention is to return the z whose the imaginary part lies in the interval \([-\pi, \pi]\).For real-valued floating-point input data types,
dpnp.log10
always returns real output. For each value that cannot be expressed as a real number or nfinity, it yieldsNaN
.For complex floating-point input data types,
dpnp.log10
is a complex analytic function that has, by convention, the branch cuts \((-\infty, 0)\) and is continuous from above on it.In the cases where the input has a negative real part and a very small negative complex part (approaching 0), the result is so close to \(-\pi\) that it evaluates to exactly \(-\pi\).
Examples
>>> import dpnp as np >>> x = np.arange(3.) >>> np.log10(x) array([-inf, 0.0, 0.30102999566])
>>> np.log10(np.array([1e-15, -3.])) array([-15., nan])