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codespell --quiet-level=2 (#1711)

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* codespell --quiet-level=2

Suppress the BINARY FILE warnings

* fixup! Format Python code with psf/black push
This commit is contained in:
Christian Clauss
2020-01-23 17:21:51 +01:00
committed by John Law
parent 2cf7e8f994
commit 46ac50a28e
5 changed files with 37 additions and 26 deletions
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20
maths/area_under_curve.py
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@ -4,10 +4,13 @@ Approximates the area under the curve using the trapezoidal rule
from typing import Callable, Union
def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
x_start: Union[int, float],
x_end: Union[int, float],
steps: int = 100) -> float:
def trapezoidal_area(
fnc: Callable[[Union[int, float]], Union[int, float]],
x_start: Union[int, float],
x_end: Union[int, float],
steps: int = 100,
) -> float:
"""
Treats curve as a collection of linear lines and sums the area of the
trapezium shape they form
@ -34,9 +37,9 @@ def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
for i in range(steps):
# Approximates small segments of curve as linear and solve
# for trapezoidal area
x2 = (x_end - x_start)/steps + x1
x2 = (x_end - x_start) / steps + x1
fx2 = fnc(x2)
area += abs(fx2 + fx1) * (x2 - x1)/2
area += abs(fx2 + fx1) * (x2 - x1) / 2
# Increment step
x1 = x2
fx1 = fx2
@ -44,12 +47,13 @@ def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
if __name__ == "__main__":
def f(x):
return x**3 + x**2
return x ** 3 + x ** 2
print("f(x) = x^3 + x^2")
print("The area between the curve, x = -5, x = 5 and the x axis is:")
i = 10
while i <= 100000:
print(f"with {i} steps: {trapezoidal_area(f, -5, 5, i)}")
i*=10
i *= 10