polymv

polymv is a Python/C package for converting multipolar coefficients (alms) into Multipole Vectors (MVs) and Fréchet Vectors (FVs) for a given multipole. It's especially useful in cosmological studies, including the analysis of Planck 2015 and 2018 temperature maps.

🔭 You can explore the MVs and FVs derived from Planck data here:

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✨ Features

• Converts alms to Multipole Vectors (MVs) and Fréchet Vectors (FVs)
• Designed for cosmological data analysis (e.g. Planck temperature maps)
• Includes ready-to-use notebooks and utilities

⚙️ Installation

Prerequisites

Make sure the following are installed on your system:

• Python ≥ 3.10
• GCC or another default Unix compiler
• Miniforge package manager

🛑 Note: This package was developed for Unix-based systems. Windows support is not guaranteed.

The installation steps were designed to use conda due to the large amount of binaries available.

Steps

1. Clone the repository

   git clone https://github.com/oliveirara/polymv.git
   cd polymv

2. Review the Makefile It will install the following user-level dependencies:

   • MPSolve
   • chealpix

3. Customize the config.mk Adjust these settings as needed:

   • Installation directory (defaults to user home directory)
   • Package manager (mamba by default, can be changed to conda)
   • Environment name
   • Python version

4. Run the installer

   make install

   Or changing the parameters online (no need to rewrite the config.mk file). For the example, I will change the environment name and Python version:

   make install PYTHON_ENV="<environment-name>" PYTHON_VERSION="<custom-python-version>"

That’s it! 🎉 For more insight into what the installer is doing, check out the scripts folder.

🧪 Usage

Explore the notebooks folder for hands-on examples and demos. These notebooks will guide you through converting alms and analyzing cosmological data using polymv.

📝 Citation

If you use polymv in your research, please cite:

@article{2020PDU....3000608O,
       author = {{Oliveira}, Renan A. and {Pereira}, Thiago S. and {Quartin}, Miguel},
        title = "{CMB statistical isotropy confirmation at all scales using multipole vectors}",
      journal = {Physics of the Dark Universe},
     keywords = {Observational cosmology, Cosmic microwave background, Statistical isotropy, Multipole vectors, Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - Instrumentation and Methods for Astrophysics, General Relativity and Quantum Cosmology},
         year = 2020,
        month = dec,
       volume = {30},
          eid = {100608},
        pages = {100608},
          doi = {10.1016/j.dark.2020.100608},
archivePrefix = {arXiv},
       eprint = {1812.02654},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2020PDU....3000608O},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

and

@article{2024arXiv241108087R,
       author = {{Rodrigues}, Ricardo G. and {Pereira}, Thiago S. and {Quartin}, Miguel},
        title = "{Fr{\'e}chet Vectors as sensitive tools for blind tests of CMB anomalies}",
      journal = {arXiv e-prints},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology},
         year = 2024,
        month = nov,
          eid = {arXiv:2411.08087},
        pages = {arXiv:2411.08087},
          doi = {10.48550/arXiv.2411.08087},
archivePrefix = {arXiv},
       eprint = {2411.08087},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2024arXiv241108087R},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

💰 Funding

This work was supported by:

• Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (grant E26/204.633/2024)
• Fundação Araucária (NAPI de Fenômenos Extremos do Universo, grant 347/2024 PD&I)
• Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
• Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

📄 License

Licensed under the GNU General Public License v3. See the LICENSE file for details.