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Added some more comments to volume.py in maths folder (#7080)

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* Added some more comments

added some more comments (to formulas which need it) which make the code more readable and understandable. might make a list of all the formulas on the top, later

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Advik Sharma 2022-10-16 06:28:10 -07:00 committed by GitHub
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1 changed files with 15 additions and 8 deletions
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23
maths/volume.py
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@ -1,6 +1,7 @@
"""
Find Volumes of Various Shapes.
Wikipedia reference: https://en.wikipedia.org/wiki/Volume
Find the volume of various shapes.
* https://en.wikipedia.org/wiki/Volume
* https://en.wikipedia.org/wiki/Spherical_cap
"""
from __future__ import annotations
@ -30,8 +31,7 @@ def vol_cube(side_length: int | float) -> float:
def vol_spherical_cap(height: float, radius: float) -> float:
"""
Calculate the Volume of the spherical cap.
:return 1/3 pi * height ^ 2 * (3 * radius - height)
Calculate the volume of the spherical cap.
>>> vol_spherical_cap(1, 2)
5.235987755982988
>>> vol_spherical_cap(1.6, 2.6)
@ -49,6 +49,7 @@ def vol_spherical_cap(height: float, radius: float) -> float:
"""
if height < 0 or radius < 0:
raise ValueError("vol_spherical_cap() only accepts non-negative values")
# Volume is 1/3 pi * height squared * (3 * radius - height)
return 1 / 3 * pi * pow(height, 2) * (3 * radius - height)
@ -263,6 +264,7 @@ def vol_sphere(radius: float) -> float:
"""
if radius < 0:
raise ValueError("vol_sphere() only accepts non-negative values")
# Volume is 4/3 * pi * radius cubed
return 4 / 3 * pi * pow(radius, 3)
@ -274,7 +276,7 @@ def vol_hemisphere(radius: float) -> float:
>>> vol_hemisphere(1)
2.0943951023931953
>>> vol_hemisphere(7)
718.3775201208659
718.377520120866
>>> vol_hemisphere(1.6)
8.57864233940253
>>> vol_hemisphere(0)
@ -286,7 +288,8 @@ def vol_hemisphere(radius: float) -> float:
"""
if radius < 0:
raise ValueError("vol_hemisphere() only accepts non-negative values")
return 2 / 3 * pi * pow(radius, 3)
# Volume is radius cubed * pi * 2/3
return pow(radius, 3) * pi * 2 / 3
def vol_circular_cylinder(radius: float, height: float) -> float:
@ -312,7 +315,8 @@ def vol_circular_cylinder(radius: float, height: float) -> float:
"""
if height < 0 or radius < 0:
raise ValueError("vol_circular_cylinder() only accepts non-negative values")
return pi * pow(radius, 2) * height
# Volume is radius squared * height * pi
return pow(radius, 2) * height * pi
def vol_hollow_circular_cylinder(
@ -344,6 +348,7 @@ def vol_hollow_circular_cylinder(
...
ValueError: outer_radius must be greater than inner_radius
"""
# Volume - (outer_radius squared - inner_radius squared) * pi * height
if inner_radius < 0 or outer_radius < 0 or height < 0:
raise ValueError(
"vol_hollow_circular_cylinder() only accepts non-negative values"
@ -356,7 +361,7 @@ def vol_hollow_circular_cylinder(
def vol_conical_frustum(height: float, radius_1: float, radius_2: float) -> float:
"""Calculate the Volume of a Conical Frustum.
Wikipedia reference: https://en.wikipedia.org/wiki/Frustum
:return 1/3 * pi * height * (radius_1^2 + radius_top^2 + radius_1 * radius_2)
>>> vol_conical_frustum(45, 7, 28)
48490.482608158454
>>> vol_conical_frustum(1, 1, 2)
@ -378,6 +383,8 @@ def vol_conical_frustum(height: float, radius_1: float, radius_2: float) -> floa
...
ValueError: vol_conical_frustum() only accepts non-negative values
"""
# Volume is 1/3 * pi * height *
# (radius_1 squared + radius_2 squared + radius_1 * radius_2)
if radius_1 < 0 or radius_2 < 0 or height < 0:
raise ValueError("vol_conical_frustum() only accepts non-negative values")
return (