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Description:

areaundercurve 1.0.6

Version 1.0.6
Python 3.7+ module to calculate riemann sum area under a curve
Copyright 2019 Steven Mycynek
Supports

simpson, trapezoid, and midpoint algorithms,
n-degree single variable polynomials, including fractional exponents,
variable step size

https://pypi.python.org/pypi/area-under-curve

USAGE = """ -p|--poly {DegreeN1:CoefficientM1, DegreeN2:CoefficientM2, ...}...
-l|--lower <lower_bound> -u|--upper <upper_bound> -s|--step <step>
-a|--algorithm <simpson | trapezoid | midpoint>

This was just a fun experiment I did on a couple airplane rides and might not be suitable for
production use.

Try a simple function you can integrate by hand easily, like f(x) = x^3 from [0-10], and
compare that to how accurate the midpoint, trapezoid, and simpson approximations are with various
steps sizes.
Why not use numpy? You probably should, but I wanted to do everything from scratch for fun.

examples:
python3 area_under_curve.py --polynomial {3:1} --lower 0 --upper 10 --step .1 --algorithm simpson
or:
import area_under_curve as auc
algorithm = auc.get_algorithm("simpson")
bounds = auc.Bounds(0, 10, .1)
polynomial = auc.Polynomial({3:1})
params = auc.Parameters(polynomial, bounds, algorithm)
AREA = auc.area_under_curve(params.polynomial, params.bounds, params.algorithm)
print(str(AREA))
Also try out unit_test.py and demo.py.
Use poetry install and poetry shell for a python3 environment with dev dependencies.