.. include:: ../gcsubstitutions.txt

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Introduction
============

The 2PCF-GC :term:`Processing Function` is in charge of measuring the
3D two-point correlation function of Euclid galaxies. All the 2PCF-GC
output data products can be obtained from the same input products, and
using a similar methodology.

Optionally, the code can receive as input random pair counts from a
previous run. The code computes and stores only the pair counts not
read in input.

The flowcharts of the 2PCF-GC products are the following:

* Angle-averaged two-point auto-correlation function

.. image:: DPDD-TwoPCFGC1D.png

* Angle-averaged two-point cross-correlation function

.. image:: DPDD-TwoPCFGC1D_cross.png

* Post-reconstruction angle-averaged two-point auto-correlation function

.. image:: DPDD-TwoPCFGC1D_rec.png

* Post-reconstruction angle-averaged two-point cross-correlation function

.. image:: DPDD-TwoPCFGC1D_rec_cross.png


* 2D Cartesian two-point auto-correlation function and projected
  two-point auto-correlation function

.. image:: DPDD-TwoPCFGC2DCart.png

* 2D Cartesian two-point cross-correlation function and projected
  two-point cross-correlation function

.. image:: DPDD-TwoPCFGC2DCart_cross.png

* Post-reconstruction 2D Cartesian two-point auto-correlation function
  and post-reconstruction projected two-point auto-correlation function

.. image:: DPDD-TwoPCFGC2DCart_rec.png

* Post-reconstruction 2D Cartesian two-point cross-correlation
  function and post-reconstruction projected two-point
  cross-correlation function

.. image:: DPDD-TwoPCFGC2DCart_rec_cross.png


* 2D polar two-point auto-correlation function and multipoles of the
  two-point auto-correlation function

.. image:: DPDD-TwoPCFGC2DPol.png

* 2D polar two-point cross-correlation function and multipoles of the
  two-point cross-correlation function

.. image:: DPDD-TwoPCFGC2DPol_cross.png

* Post-reconstruction 2D polar two-point auto-correlation function and
  post-reconstruction multipoles of the two-point auto-correlation
  function

.. image:: DPDD-TwoPCFGC2DPol_rec.png

* Post-reconstruction 2D polar two-point cross-correlation function
  and post-reconstruction multipoles of the two-point
  cross-correlation function

.. image:: DPDD-TwoPCFGC2DPol_rec_cross.png


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