# Licensed under a 3-clause BSD style license - see LICENSE.rst
"""Utility functions and classes for n-dimensional data and axes."""
from collections import OrderedDict
import numpy as np
from astropy.units import Quantity
from .array import array_stats_str
from .interpolation import ScaledRegularGridInterpolator
__all__ = ["NDDataArray", "sqrt_space"]
[docs]class NDDataArray:
"""ND Data Array Base class
Parameters
----------
axes : list
List of `~gammapy.utils.nddata.DataAxis`
data : `~astropy.units.Quantity`
Data
meta : dict
Meta info
interp_kwargs : dict
TODO
"""
default_interp_kwargs = dict(bounds_error=False, values_scale="lin")
"""Default interpolation kwargs used to initialize the
`scipy.interpolate.RegularGridInterpolator`. The interpolation behaviour
of an individual axis ('log', 'linear') can be passed to the axis on
initialization."""
def __init__(self, axes, data=None, meta=None, interp_kwargs=None):
self._axes = axes
if data is not None:
self.data = data
if meta is not None:
self.meta = OrderedDict(meta)
self.interp_kwargs = interp_kwargs or self.default_interp_kwargs
self._regular_grid_interp = None
def __str__(self):
ss = "NDDataArray summary info\n"
for axis in self.axes:
ss += str(axis)
ss += array_stats_str(self.data, "Data")
return ss
@property
def axes(self):
"""Array holding the axes in correct order"""
return self._axes
[docs] def axis(self, name):
"""Return axis by name"""
try:
idx = [_.name for _ in self.axes].index(name)
except ValueError:
raise ValueError("Axis {} not found".format(name))
return self.axes[idx]
@property
def data(self):
"""Array holding the n-dimensional data."""
return self._data
@data.setter
def data(self, data):
"""Set data.
Some sanity checks are performed to avoid an invalid array.
Also, the interpolator is set to None to avoid unwanted behaviour.
Parameters
----------
data : `~astropy.units.Quantity`, array-like
Data array
"""
data = Quantity(data)
dimension = len(data.shape)
if dimension != self.dim:
raise ValueError(
"Overall dimensions to not match. "
"Data: {}, Hist: {}".format(dimension, self.dim)
)
for dim in np.arange(self.dim):
axis = self.axes[dim]
if axis.nbin != data.shape[dim]:
msg = "Data shape does not match in dimension {d}\n"
msg += "Axis {n} : {sa}, Data {sd}"
raise ValueError(
msg.format(d=dim, n=axis.name, sa=axis.nbin, sd=data.shape[dim])
)
self._regular_grid_interp = None
self._data = data
@property
def dim(self):
"""Dimension (number of axes)"""
return len(self.axes)
[docs] def evaluate(self, method=None, **kwargs):
"""Evaluate NDData Array
This function provides a uniform interface to several interpolators.
The evaluation nodes are given as ``kwargs``.
Currently available:
`~scipy.interpolate.RegularGridInterpolator`, methods: linear, nearest
Parameters
----------
method : str {'linear', 'nearest'}, optional
Interpolation method
kwargs : dict
Keys are the axis names, Values the evaluation points
Returns
-------
array : `~astropy.units.Quantity`
Interpolated values, axis order is the same as for the NDData array
"""
values = []
for idx, axis in enumerate(self.axes):
# Extract values for each axis, default: nodes
shape = [1] * len(self.axes)
shape[idx] = -1
default = axis.center.reshape(tuple(shape))
temp = Quantity(kwargs.pop(axis.name, default))
values.append(np.atleast_1d(temp))
# This is to catch e.g. typos in axis names
if kwargs != {}:
raise ValueError("Input given for unknown axis: {}".format(kwargs))
if self._regular_grid_interp is None:
self._add_regular_grid_interp()
return self._regular_grid_interp(values, method=method, **kwargs)
def _add_regular_grid_interp(self, interp_kwargs=None):
"""Add `~scipy.interpolate.RegularGridInterpolator`
http://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.interpolate.RegularGridInterpolator.html
Parameters
----------
interp_kwargs : dict, optional
Interpolation kwargs
"""
if interp_kwargs is None:
interp_kwargs = self.interp_kwargs
points = [a.center for a in self.axes]
points_scale = [a.interp for a in self.axes]
self._regular_grid_interp = ScaledRegularGridInterpolator(
points, self.data, points_scale=points_scale, **interp_kwargs
)
[docs]def sqrt_space(start, stop, num):
"""Return numbers spaced evenly on a square root scale.
This function is similar to `numpy.linspace` and `numpy.logspace`.
Parameters
----------
start : float
start is the starting value of the sequence
stop : float
stop is the final value of the sequence
num : int
Number of samples to generate.
Returns
-------
samples : `~numpy.ndarray`
1D array with a square root scale
Examples
--------
>>> from gammapy.utils.nddata import sqrt_space
>>> sqrt_space(0, 2, 5)
array([0. , 1. , 1.41421356, 1.73205081, 2. ])
"""
return np.sqrt(np.linspace(start ** 2, stop ** 2, num))