Inflatox provides utilities to compute slow-roll parameters and turn-rates for two-field inflation models, based on the consistency condition from Generalised consistency condition first presented in Anguelova & Lazaroiu (2023)1 and later generalised for the purposes of this package in Wolters, Iarygina & Achúcarro (2024)2 arXiv:2405.11628. The consistency conditions can be used in a parameter sweep of a two-field model to find possible inflation trajectories.
Note
If this software has proven useful to your research, please consider citing JCAP07(2024)0792
- symbolic solver for components of the Hesse matrix of an inflationary model
with non-canonical kinetic terms, powered by
sympy
. - transpiler to transform
sympy
expressions into executable compiled (C
) code. - (experimental) support for special function transpilation using the GSL
- built-in multithreaded
rust
module for high-performance calculations of consistency conditions that interfaces directly withnumpy
and python. - utilities for performing parameter sweeps.
- extendability: inflatox' exposes a python interface to calculate any intermediate quantity, which can be used to extend it with additional consistency conditions.
- no need to read, write or compile any
rust
orC
code manually (this is all done automatically behind the scenes). - no system dependencies, everything needed to run the package can be automatically
installed by
pip
.
Important
Inflatox requires at least python version 3.8
.
The latest version of inflatox can be installed using pip:
pip install inflatox
Inflatox can be updated using:
pip install --upgrade inflatox
The following code example shows how inflatox
can be used to calculate the
potential and components of the Hesse matrix for a two-field hyperinflation model.
#import inflatox
import inflatox
import sympy as sp
import numpy as np
sp.init_printing()
#define model
φ, θ, L, m, φ0 = sp.symbols('φ θ L m φ0')
fields = [φ, θ]
V = (1/2*m**2*(φ-φ0)**2).nsimplify()
g = [
[1, 0],
[0, L**2 * sp.sinh(φ/L)**2]
]
#print metric and potential
display(g, V)
#symbolic calculation
calc = inflatox.SymbolicCalculation.new(fields, g, V)
hesse = calc.execute()
#run the compiler
out = inflatox.Compiler(hesse).compile()
#evaluate the compiled potential and Hesse matrix
from inflatox.consistency_conditions import GeneralisedAL
anguelova = GeneralisedAL(out)
p = np.array([1.0, 1.0, 1.0])
x = np.array([2.0, 2.0])
print(anguelova.calc_V(x, p))
print(anguelova.calc_H(x, p))
extent = (-1, 1, -1, 1)
consistency_condition, epsilon_V, epsilon_H, eta_H, delta, omega =
anguelova.full_analysis(p, *extent)
Inflatox features (experimental) support for transpiling special functions from scipy
to C using
the GSL library. The GSL (GNU Scientific Library) is not packaged together with inflatox due to its
conflicting license. Inflatox merely generates code that calls GSL functions, you must still provide
the headers and compiled shared libraries (libgsl
and libgslcblas
) yourself.
If you intend on using this feature, make sure that:
- The GSL is installed and can be found
- GSLCBLAS is installed and can be found
- The GSL headers are installed and can be found
Check out the documentation of the Compiler
class for a list of currently supported special
functions, and the docs.md
file for more technical details.
If you are experiencing any issues with the gsl feature (or if a special function you need is missing),
please open an issue on github or contact the authors.
The combinations of OS and CPU architecture listed down below
have pre-compiled binary distributions of inflatox
available
via PiPy
. If your arch is not listed here, you will have to
compile inflatox
manually.
- Intel/AMD x86/i686 (32 bit)
- linux/gnu (glibc >= 2.17, kernel >= 3.2)
- windows 7+ 3
- ARM armv7 (32 bit)
- linux/gnu (glibc >= 2.17, kernel >= 3.2, hard float)
- Intel/AMD x86_64/amd64 (64 bit)
- linux/gnu (glibc >= 2.17, kernel >= 3.2)
- windows 7+ 3
- macOS 10.12+ / Sierra+
- ARM aarch64 (64 bit)
- linux/gnu (glibc >= 2.17, kernel >= 4.1)
- macOS 11.0+ / Big Sur+
Note
Apple silicon M-series chips are supported (aarch64)*
Note
Inflatox is explicitly not licensed under the dual Apache/MIT license common to the Rust ecosystem. Instead it is licensed under the terms of the European Union Public License v1.2.
Inflatox is a science project and embraces the values of open science and free and open software. Closed and paid scientific software suites hinder the development of new technologies and research methods, as well as diverting much- needed public funds away from researchers to large publishing and software companies.
See the LICENSE.md file for the EUPL text in all 22 official languages of the EU, and LICENSE-EN.txt for a plain text English version of the license.
Footnotes
-
Anguelova, L., & Lazaroiu, C. (2023). Dynamical consistency conditions for rapid-turn inflation. Journal of Cosmology and Astroparticle Physics, May 2023(20). https://doi.org/10.1088/1475-7516/2023/ 05/020 ↩
-
Wolters, R, Iarygina & O. Achúcarro, A (2024). Generalised conditions for rapid-turn inflation. Journal of Cosmology and Astroparticle Physics, July 2024(79). https://doi.org/10.1088/1475-7516/2024/07/079 ↩ ↩2
-
Windows 7 is no longer considered a tier-1 target by the rust project. Usage of Windows 10+ is recommended. ↩ ↩2