# xarray.ufuncs.frexp¶

xarray.ufuncs.frexp = <xarray.ufuncs._UFuncDispatcher object>

xarray specific variant of numpy.frexp. Handles xarray.Dataset, xarray.DataArray, xarray.Variable, numpy.ndarray and dask.array.Array objects with automatic dispatching.

Documentation from numpy:

frexp(x[, out1, out2], / [, out=(None, None)], *, where=True, casting=’same_kind’, order=’K’, dtype=None, subok=True[, signature, extobj])

Decompose the elements of x into mantissa and twos exponent.

Returns (mantissa, exponent), where x = mantissa * 2**exponent. The mantissa is lies in the open interval(-1, 1), while the twos exponent is a signed integer.

Parameters
xarray_like

Array of numbers to be decomposed.

out1ndarray, optional

Output array for the mantissa. Must have the same shape as x.

out2ndarray, optional

Output array for the exponent. Must have the same shape as x.

outndarray, None, or tuple of ndarray and None, optional

A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.

wherearray_like, optional

Values of True indicate to calculate the ufunc at that position, values of False indicate to leave the value in the output alone.

**kwargs

For other keyword-only arguments, see the ufunc docs.

Returns
mantissandarray

Floating values between -1 and 1. This is a scalar if x is a scalar.

exponentndarray

Integer exponents of 2. This is a scalar if x is a scalar.

ldexp

Compute y = x1 * 2**x2, the inverse of frexp.

Notes

Complex dtypes are not supported, they will raise a TypeError.

Examples

>>> x = np.arange(9)
>>> y1, y2 = np.frexp(x)
>>> y1
array([ 0.   ,  0.5  ,  0.5  ,  0.75 ,  0.5  ,  0.625,  0.75 ,  0.875,
0.5  ])
>>> y2
array([0, 1, 2, 2, 3, 3, 3, 3, 4])
>>> y1 * 2**y2
array([ 0.,  1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.])
`