.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/07_sunset_taylor.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_examples_07_sunset_taylor.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_07_sunset_taylor.py:


Equal-mass vacuum and Euclidean continuation
============================================================

A separate Taylor method fills the equal-mass gap in the RMT charts.

.. GENERATED FROM PYTHON SOURCE LINES 7-19




.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    0 2.343907238689458890601562 equal-mass sunset / transformed Taylor series
    1 2.236792700212646510529264 equal-mass sunset / transformed Taylor series
    3 1.697946461195426121941926 equal-mass sunset / transformed Taylor series
    6 1.052354070777636885702782 equal-mass sunset / transformed Taylor series






|

.. code-block:: Python

    import mpmath as mp
    from ramanujan_qft import ScalarEdge, ScalarGraph, integrate_sunset_taylor, integrate_graph_rmt

    for momentum in (0, 1, 3, 6):
        graph = ScalarGraph([ScalarEdge(0, 1, 1)]*3,
                            {0: [momentum], 1: [-momentum]})
        result = integrate_sunset_taylor(graph, dps=25)
        print(momentum, mp.nstr(result.value, 25), result.method)
        if momentum == 6:
            rmt = integrate_graph_rmt(graph, dps=25)
            with mp.workdps(40):
                assert abs(result.value-rmt.value) <= result.error_estimate+rmt.error_estimate


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 1.822 seconds)


.. _sphx_glr_download_auto_examples_07_sunset_taylor.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: 07_sunset_taylor.ipynb <07_sunset_taylor.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: 07_sunset_taylor.py <07_sunset_taylor.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: 07_sunset_taylor.zip <07_sunset_taylor.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_