madng-tpsa - GTPSA (truncated power series) for Python
This repository exposes the features of MAD-NG's GTPSA (Generalised Truncated Power Series
Algebra) through a Python interface. The package builds libmadng_tpsa.so on Linux or
libmadng_tpsa.dylib on macOS, and uses CFFI ABI mode to access the native functionality.
import numpy as np
import scipy
from madng_tpsa import Descriptor
d = Descriptor(variables=['x', 'y'], order=3)
x, y = d.vars()
f = x * x + 2.0 * y
# Inspect!
f # => Tpsa({(0, 1): 2.0, (2, 0): 1.0})
f.format() # => '2 * y + x**2'
f.format('table') # => a Rich table showing all coefficients
# Basic operations
c = d.constant(42)
c.const_part # => 42
f.const_part # => 0
f.monomial_coeffs() # => {(0, 1): 2.0, (2, 0): 1.0}
f.derivative('y') # => Tpsa({(0, 0): 2.0})
f.grad() # => [0, 2]
# Compatible with Numpy protocol
np.sin(f) # => Tpsa({(0, 1): 2.0, (2, 0): 1.0, (0, 3): -1.3333333333333333})
scipy.special.wofz(f) # => ComplexTpsa({(0, 0): (1+0j), (0, 1): 2.256...j, (2, 0): 1.128...j, (0, 2): (-4+0j), (2, 1): (-4+0j), (0, 3): -6.018...j})
Through the xobjects entry point declared in pyproject.toml, the MAD-NG TPSA C API is
automatically made available to Xobjects, so projects built on Xobjects can reuse it without
much extra wiring, relying on madng-tpsa abstractions in the Python-side API.
Build
The project uses scikit-build-core and CMake:
git submodule update --init --recursive
pip install .
pip install -e .
python -m build
pip install -e . runs CMake and copies the generated shared library into
src/madng_tpsa/lib/, matching the installed wheel layout. MAD-NG headers copied into
src/madng_tpsa/include/ and platform shared libraries in src/madng_tpsa/lib/ are generated
artefacts and ignored by Git.
By default, CMake builds from the bundled madng/src checkout. To use another MAD-NG
source tree:
pip install . --config-settings=cmake.define.MADNG_SRC=/path/to/madng/src
Requirements: a C compiler, CMake, BLAS/LAPACK on Linux, and Accelerate on macOS.
Development
Install the package together with the development tools:
python -m pip install --group dev -e .
Enable the pre-commit hooks:
pre-commit install
The hooks run Ruff formatting/linting and Ty type checking. To run the same checks manually:
pre-commit run --all-files
Tests
pytest tests/
The tests exercise the standalone engine bindings; xtrack is not imported.
Documentation
Build the API documentation with:
python -m pip install --group docs -e .
make -C docs html
2 maintainers
Metadata
2 maintainers
Release files for madng-tpsa 0.3.3
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Built distributions (wheels)
Total release size: 63.6 MB
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