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ocaml-curve-sampling's Introduction

Continuous Integration

Curve Sampling

This module provide a collection of routines to perform adaptive sampling of parametric and implicit curves as well as manipulating those samplings.

Install

The easier way to install this library is to use opam:

opam install curve-sampling

If you prefer to compile by hand, install the dependencies listed in curve-sampling.opam and issue dune build @install.

Documentation

The documentation is available in curve_sampling.mli or online.

Example

Here is a graph of the function x ↦ x sin(1/x) produced with only 227 evaluations of the function. x sin(1/x)

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Images

Images of the graphs of functions

Note that because the slight randomness in selecting the initial sample, executing the demo program will not generate exactly the same output.

x sin(1/x) (n = 227)

graph1
graph1_p
v.s. Mathematica:
Plot Points10 MaxRecursion5 eval227
EvaluationMonitor Plot Points10 MaxRecursion5

x sin(1/x) (n = 391)

graph2
graph2_p
v.s. Mathematica
Plot Points10 MaxRecursion6 eval389

sin(1/x) (n=391)

graph3
graph3_p
v.s. Mathematica:
sin inv x Points10 MaxRecursion6 eval391

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