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Function.py
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Function.py
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from applicable import Applicable, isApplicable
import inspect
import math
import numpy as np
import matplotlib.pyplot as plt
"""
https://en.wikipedia.org/wiki/List_of_mathematical_functions#Algebraic_functions
"""
class Function:
def __init__():
print("okay")
# Ratio of two polynomials
class rational_function(Applicable):
def __init__(self, p1, p2, c):
self.p1 = p1
self.p2 = p2
self.c = c # c must conform to this generic that it has an apply method
def __str__(self):
return "(({})({}))/{}".format(self.c, self.p1, self.p2)
def apply(self, x):
num = 0
denom = 0
for i in range(self.p1.degree):
num += math.pow(x,i) * self.p1.get_coeff(i)
for i in range(self.p2.degree):
denom += math.pow(x,i) * self.p2.get_coeff(i)
if isApplicable(self.c):
return (self.c.apply * num/denom)
else:
return (self.c * num / denom)
def plot(self):
t = np.arange(-100.0, 100.0, 0.001)
plotable = []
for i in t:
plotable.append(self.apply(i))
plt.plot(t, plotable)
plt.show()
class ExponentialFunction(Applicable):
""" Of form ab^x """
def __init__(self,a , b):
self.a = a
self.b = b
self.x = 1
def __str__(self):
return "{}{}^{}".format(self.a, self.b, self.x)
def apply(self,x):
if isApplicable(self.a) and isApplicable(self.b):
return self.a.apply(x) * math.pow(self.b.apply(x),x)
elif isApplicable(self.b):
return self.a* math.pow(self.b.apply(x), x)
elif isApplicable(self.a):
return self.a.apply(x) * math.pow(self.b, x)
else:
return self.a* math.pow(self.b,x)
def plot(self):
t = np.arange(-5,5,0.01)
s = [self.apply(i) for i in t]
plt.plot(t,s)
plt.show()
def test_expo():
a = ExponentialFunction(3,4)
assert (a.apply(1)) == 12
class periodic_function(Applicable):
def __init__(self, sin_coeff, cos_coeff, sin_pow, cos_pow):
self.sin_coeff = sin_coeff
self.cos_coeff = cos_coeff
self.sin_pow = sin_pow
self.cos_pow = cos_pow
def __str__(self):
return "{}sin ^ {} x + {}cos ^ {} x".format(self.sin_coeff, self.sin_pow, self.cos_coeff, self.cos_pow)
def apply(self, x):
if isApplicable(self.sin_coeff):
return self.sin_coeff.apply(x) * math.pow(math.sin(x), self.sin_pow) + self.cos_coeff * math.pow(math.cos(x), self.cos_pow)
elif isApplicable(self.sin_coeff) and isApplicable(self.cos_coeff):
return self.sin_coeff.apply(x) * math.pow(math.sin(x), self.sin_pow) + self.cos_coeff.apply(x) * math.pow(math.cos(x), self.cos_pow)
return self.sin_coeff * math.pow(math.sin(x), self.sin_pow) + self.cos_coeff * math.pow(math.cos(x), self.cos_pow)
def plot(self):
t = np.arange(0,100,0.01)
s = [self.apply(i) for i in t]
t = [(180*i/3.14) for i in t]
plt.plot(t,s)
plt.show()
def test_periodic():
t = periodic_function(1,3,2,3)
t.plot()
def derivative_test():
t = periodic_function(1,0,1,0)
return t.five_point_derivative(0) == 1