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Fast saddle-point analysis on dense N-D PES grids

Project description

pes_analyzer

Fast saddle-point and minimum analysis on dense N-D potential energy surface grids.

Python ≥ 3.10 · Rust 2024 edition · N-D grids for N ∈ [2, 7] · MIT

Why

Quantum-chemistry calculations produce potential energy surfaces (PES) as dense tables of energies on a multidimensional grid of geometric coordinates. Once that grid exists, the interesting analysis questions are topological: where are the minima, where are the saddle points, which basins are connected to which? pes_analyzer answers those questions on grids that may be too large for pure-Python approaches by pushing the inner loops into Rust.

What it does

  • pes_analyzer.saddle.find_iwf_grid — imaginary water flow (watershed) saddle search between two grid points.
  • pes_analyzer.minimum.find_minima_grid — local minima on the Chebyshev king-move stencil (default 3ᴺ−1; widen via confirm_range for a fast two-pass check, or via neighborhood_range for a direct wider check).
  • pes_analyzer.grid.build_dense — scatter helper that turns sparse (coords, value) rows into a dense numpy array indexed in axis order.

Installation

The package builds from source via maturin. From a checkout:

pip install maturin
maturin develop --release

For day-to-day development (editable installs, running tests, rebuilding after Rust changes) see DEVELOPMENT.md.

Quickstart

import numpy as np

from pes_analyzer.saddle  import find_iwf_grid
from pes_analyzer.minimum import find_minima_grid

# A toy 2x5 PES: two basins at (0, 0) and (0, 4) along the top row,
# separated by a hump that peaks at (0, 2). The bottom row is a high
# wall, so any path between the basins must cross the hump.
energies = np.array([
    [0.0, 1.0, 2.0, 1.0, 0.0],
    [3.0, 3.0, 3.0, 3.0, 3.0],
])

print(find_minima_grid(energies))
# [((0, 0), 0.0), ((0, 4), 0.0)]

print(find_iwf_grid(energies, start=(0, 0), end=(0, 4)))
# ((0, 2), 2.0)

API at a glance

Function Purpose Reference
grid.build_dense(coords, values) sparse rows → dense N-D array API.md
saddle.find_iwf_grid(energies, start, end) watershed saddle search API.md
minimum.find_minima_grid(energies, *, neighborhood_range=1, confirm_range=None) local minima (Chebyshev stencil) API.md

Documentation

License

MIT — see Cargo.toml.

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