piecewise-rational
Shape-preserving piecewise rational cubic interpolation using the Delbourgo-Gregory algorithm.
Installation
pip install piecewise-rational
Usage
from piecewise_rational import rational_cubic_interpolation
# Interpolate at x=0.5 given endpoints and derivatives
x_l, x_r = 0.0, 1.0 # interval
y_l, y_r = 0.0, 1.0 # values at endpoints
d_l, d_r = 1.0, 1.0 # derivatives at endpoints
r = 0.0 # control parameter
y = rational_cubic_interpolation(0.5, x_l, x_r, y_l, y_r, d_l, d_r, r)
Features
- Shape-preserving interpolation (maintains monotonicity and convexity)
- Control parameters for fitting second derivatives
- High numerical precision
References
- R. Delbourgo, J.A. Gregory, "Shape preserving piecewise rational interpolation", SIAM Journal on Scientific and Statistical Computing, 1985.
- Peter Jaeckel, "Let's Be Rational", www.jaeckel.org
License
MIT License. Python implementation derived from Peter Jaeckel's LetsBeRational.
1 maintainer
Metadata
1 maintainer
Release files for piecewise-rational 1.0.0
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