# Support Libraries¶

In general, we will try to avoid re-implementing complex mathematical algorithms, and use instead a small set of well-tested, community supported packages. All packages chosen have large developer bases, and a wide community of users, ensuring long-term support.

The following are support libraries that are allowed when developing CTA Pipeline algorithms. Any new dependencies must be discussed with the software manager.

## Math/Stats¶

A large variety of advanced math and statistcs functions can be found in the numpy (data structures and numerics )and scipy packages (advanced mathematics).

NumPy user guide : http://docs.scipy.org/doc/numpy/user/ (more high-level)

NumPy reference : http://docs.scipy.org/doc/numpy/reference/

SciPy user guide : http://docs.scipy.org/doc/scipy/reference/

SciPy reference : http://docs.scipy.org/doc/scipy/reference/index.html

Specific functionality:

`scipy.stats`

: statistical models (pdfs, random sampling, etc) for discrete or continuous distributions`scipy.linalg`

: fast linear algebra operations`scipy.optimize`

: fitting and minimization`scipy.integrate`

: integration, including multivariate integration`scipy.signal`

: signal processing`scipy.interpolate`

: interpolation of multi-variate datasets`scipy.spatial`

: spatial algorithms (clustering, nearest neighbors)`scipy.special`

: special functions

these functions are all based on `numpy.ndarray`

data structures,
which provide c-like speeds.

## Multivariate Analysis and Machine Learning¶

SciKit-Learn, an extension of SciPy, provides very friendly and well-documented interface to a wide variety of MVA techniques, both for classification and regression.

Decision Trees

Support vector machines

Random Forrests

Perceptrons

Clustering

Dimensionality Reduction

training/cross-checks

etc.

## Astronomical Calculations¶

AstroPy is the accepted package for all astronomical calculations. Specifically:

`astropy.coordinates`

: coordinate transforms and frames`astropy.time`

: time transformations and frames`astropy.wcs`

: projections`astropy.io`

: low-level FITS access`astropy.units`

: unit quantities with automatic propegation and cross-checks`astropy.table`

: quick and easy reading of tables in nearly any format (FITS, ascii, HDF, VO, etc)`astropy.convolution`

: convolution and filtering (built upon scipy.signal, but with more robust defaults)

subpackages of Astropy that are not marked as “reasonable stable” or
“mature” should be avoided until their interfaces are solidified. The
list can be found on the astropy documentation page, under the list
*current status of subpackages*

## Tabular Data Processing¶

- We support the following systems to process and manipulate tabular data (e.g.
an event list):

`astropy.table`

: for small table manipulations`pytables`

: for direct manipulation of tables in HDF5 files (faster than other systems for large on-disk files)

### low-level FITS Table Access¶

FITS Tables can be read via `astropy.table`

, or `astropy.io.fits`

,
however these implementations are not
intended for efficient access to very large files (As they access all
tables column-wise). In the case we want to load GBs or more of data
in a FITS table, the `fitsio`

module should be used instead. It is a
simple wrapper for libCFITSIO, and supports efficient row-wise table
access.

### low-level HDF5 Table Access¶

For HDF5 input/output we use `pytables`

directly and `h5py`

through
`astropy.tables`

.

## Model Fitting¶

We support only `scipy.optimize`

, `iminuit`

, and `scikit-learn`

fitting
systems.

## Graphics and Plotting¶

We support the following:

`matplotlib`

(recommended for most cases)`bokeh`

(for web-guis)

## Parallelization and Speed-ups¶

Since execution speed is important in some algorithms (particularly those
called per-event), the speed of python can be a hindrance to performance.
The following methods to improve speed are allowed in `ctapipe`

:

### Use NumPy operations¶

One of the easiest way to speed up code is to attempt to avoid *for-loops*
(which are slow) by using `numpy`

vector and matrix operations instead, as
well as libraries that use them internally (like `scipy`

and `astropy`

). This
requires no special support, but can sometimes be conceptually difficult to
achieve. If it is not possible, use one of the following supported methods.

### Use Numba¶

`numba`

allows you to automatically compile a python function via the LLVM
compiler backend the first time a funciton is called (“just in time
compilation”). The advantage over cython is that there is no special syntax,
and no compilation step, however as a somewhat “black-box” it does not always
improve your code without some help. See the `numba`

documentation for more
info.

### Use C/C++ code and wrap it¶

Currently, ctapipe does not have any AoT compiled components.
External C/C++ libraries should provide python bindings, e.g. via `pybind11`

.