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Add volume of hollow circular cylinder, Exceptions (#6441)
* Add volume of hollow circular cylinder, Exceptions * Update volume.py * floats, zeroes tests added * Update volume.py * f-strings
This commit is contained in:
Rohan R Bharadwaj
GitHub
parent
f676055bc6
commit
922887c386
255
maths/volume.py
255
maths/volume.py
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@ -1,6 +1,5 @@
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"""
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Find Volumes of Various Shapes.
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Wikipedia reference: https://en.wikipedia.org/wiki/Volume
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"""
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from __future__ import annotations
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@ -11,12 +10,21 @@ from math import pi, pow
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def vol_cube(side_length: int | float) -> float:
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"""
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Calculate the Volume of a Cube.
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>>> vol_cube(1)
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1.0
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>>> vol_cube(3)
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27.0
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>>> vol_cube(0)
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0.0
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>>> vol_cube(1.6)
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4.096000000000001
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>>> vol_cube(-1)
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Traceback (most recent call last):
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...
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ValueError: vol_cube() only accepts non-negative values
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"""
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if side_length < 0:
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raise ValueError("vol_cube() only accepts non-negative values")
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return pow(side_length, 3)
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@ -24,10 +32,23 @@ def vol_spherical_cap(height: float, radius: float) -> float:
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"""
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Calculate the Volume of the spherical cap.
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:return 1/3 pi * height ^ 2 * (3 * radius - height)
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>>> vol_spherical_cap(1, 2)
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5.235987755982988
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>>> vol_spherical_cap(1.6, 2.6)
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16.621119532592402
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>>> vol_spherical_cap(0, 0)
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0.0
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>>> vol_spherical_cap(-1, 2)
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Traceback (most recent call last):
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...
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ValueError: vol_spherical_cap() only accepts non-negative values
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>>> vol_spherical_cap(1, -2)
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Traceback (most recent call last):
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...
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ValueError: vol_spherical_cap() only accepts non-negative values
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"""
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if height < 0 or radius < 0:
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raise ValueError("vol_spherical_cap() only accepts non-negative values")
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return 1 / 3 * pi * pow(height, 2) * (3 * radius - height)
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@ -36,7 +57,6 @@ def vol_spheres_intersect(
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) -> float:
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"""
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Calculate the volume of the intersection of two spheres.
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The intersection is composed by two spherical caps and therefore its volume is the
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sum of the volumes of the spherical caps. First, it calculates the heights (h1, h2)
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of the spherical caps, then the two volumes and it returns the sum.
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@ -49,10 +69,27 @@ def vol_spheres_intersect(
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/ (2 * centers_distance)
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if centers_distance is 0 then it returns the volume of the smallers sphere
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:return vol_spherical_cap(h1, radius_2) + vol_spherical_cap(h2, radius_1)
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>>> vol_spheres_intersect(2, 2, 1)
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21.205750411731103
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>>> vol_spheres_intersect(2.6, 2.6, 1.6)
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40.71504079052372
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>>> vol_spheres_intersect(0, 0, 0)
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0.0
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>>> vol_spheres_intersect(-2, 2, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_spheres_intersect() only accepts non-negative values
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>>> vol_spheres_intersect(2, -2, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_spheres_intersect() only accepts non-negative values
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>>> vol_spheres_intersect(2, 2, -1)
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Traceback (most recent call last):
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...
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ValueError: vol_spheres_intersect() only accepts non-negative values
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"""
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if radius_1 < 0 or radius_2 < 0 or centers_distance < 0:
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raise ValueError("vol_spheres_intersect() only accepts non-negative values")
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if centers_distance == 0:
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return vol_sphere(min(radius_1, radius_2))
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@ -74,40 +111,81 @@ def vol_cuboid(width: float, height: float, length: float) -> float:
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"""
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Calculate the Volume of a Cuboid.
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:return multiple of width, length and height
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>>> vol_cuboid(1, 1, 1)
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1.0
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>>> vol_cuboid(1, 2, 3)
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6.0
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>>> vol_cuboid(1.6, 2.6, 3.6)
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14.976
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>>> vol_cuboid(0, 0, 0)
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0.0
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>>> vol_cuboid(-1, 2, 3)
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Traceback (most recent call last):
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...
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ValueError: vol_cuboid() only accepts non-negative values
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>>> vol_cuboid(1, -2, 3)
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Traceback (most recent call last):
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...
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ValueError: vol_cuboid() only accepts non-negative values
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>>> vol_cuboid(1, 2, -3)
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Traceback (most recent call last):
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...
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ValueError: vol_cuboid() only accepts non-negative values
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"""
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if width < 0 or height < 0 or length < 0:
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raise ValueError("vol_cuboid() only accepts non-negative values")
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return float(width * height * length)
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def vol_cone(area_of_base: float, height: float) -> float:
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"""
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Calculate the Volume of a Cone.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cone
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:return (1/3) * area_of_base * height
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>>> vol_cone(10, 3)
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10.0
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>>> vol_cone(1, 1)
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0.3333333333333333
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>>> vol_cone(1.6, 1.6)
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0.8533333333333335
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>>> vol_cone(0, 0)
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0.0
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>>> vol_cone(-1, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_cone() only accepts non-negative values
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>>> vol_cone(1, -1)
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Traceback (most recent call last):
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...
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ValueError: vol_cone() only accepts non-negative values
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"""
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if height < 0 or area_of_base < 0:
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raise ValueError("vol_cone() only accepts non-negative values")
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return area_of_base * height / 3.0
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def vol_right_circ_cone(radius: float, height: float) -> float:
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"""
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Calculate the Volume of a Right Circular Cone.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cone
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:return (1/3) * pi * radius^2 * height
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>>> vol_right_circ_cone(2, 3)
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12.566370614359172
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>>> vol_right_circ_cone(0, 0)
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0.0
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>>> vol_right_circ_cone(1.6, 1.6)
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4.289321169701265
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>>> vol_right_circ_cone(-1, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_right_circ_cone() only accepts non-negative values
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>>> vol_right_circ_cone(1, -1)
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Traceback (most recent call last):
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...
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ValueError: vol_right_circ_cone() only accepts non-negative values
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"""
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if height < 0 or radius < 0:
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raise ValueError("vol_right_circ_cone() only accepts non-negative values")
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return pi * pow(radius, 2) * height / 3.0
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@ -116,12 +194,25 @@ def vol_prism(area_of_base: float, height: float) -> float:
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Calculate the Volume of a Prism.
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Wikipedia reference: https://en.wikipedia.org/wiki/Prism_(geometry)
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:return V = Bh
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>>> vol_prism(10, 2)
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20.0
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>>> vol_prism(11, 1)
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11.0
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>>> vol_prism(1.6, 1.6)
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2.5600000000000005
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>>> vol_prism(0, 0)
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0.0
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>>> vol_prism(-1, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_prism() only accepts non-negative values
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>>> vol_prism(1, -1)
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Traceback (most recent call last):
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...
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ValueError: vol_prism() only accepts non-negative values
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"""
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if height < 0 or area_of_base < 0:
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raise ValueError("vol_prism() only accepts non-negative values")
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return float(area_of_base * height)
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@ -130,12 +221,25 @@ def vol_pyramid(area_of_base: float, height: float) -> float:
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Calculate the Volume of a Pyramid.
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Wikipedia reference: https://en.wikipedia.org/wiki/Pyramid_(geometry)
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:return (1/3) * Bh
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>>> vol_pyramid(10, 3)
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10.0
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>>> vol_pyramid(1.5, 3)
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1.5
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>>> vol_pyramid(1.6, 1.6)
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0.8533333333333335
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>>> vol_pyramid(0, 0)
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0.0
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>>> vol_pyramid(-1, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_pyramid() only accepts non-negative values
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>>> vol_pyramid(1, -1)
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Traceback (most recent call last):
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...
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ValueError: vol_pyramid() only accepts non-negative values
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"""
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if height < 0 or area_of_base < 0:
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raise ValueError("vol_pyramid() only accepts non-negative values")
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return area_of_base * height / 3.0
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@ -144,27 +248,44 @@ def vol_sphere(radius: float) -> float:
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Calculate the Volume of a Sphere.
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Wikipedia reference: https://en.wikipedia.org/wiki/Sphere
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:return (4/3) * pi * r^3
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>>> vol_sphere(5)
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523.5987755982989
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>>> vol_sphere(1)
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4.1887902047863905
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>>> vol_sphere(1.6)
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17.15728467880506
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>>> vol_sphere(0)
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0.0
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>>> vol_sphere(-1)
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Traceback (most recent call last):
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...
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ValueError: vol_sphere() only accepts non-negative values
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"""
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if radius < 0:
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raise ValueError("vol_sphere() only accepts non-negative values")
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return 4 / 3 * pi * pow(radius, 3)
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def vol_hemisphere(radius: float):
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def vol_hemisphere(radius: float) -> float:
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"""Calculate the volume of a hemisphere
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Wikipedia reference: https://en.wikipedia.org/wiki/Hemisphere
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Other references: https://www.cuemath.com/geometry/hemisphere
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:return 2/3 * pi * radius^3
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>>> vol_hemisphere(1)
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2.0943951023931953
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>>> vol_hemisphere(7)
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718.3775201208659
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>>> vol_hemisphere(1.6)
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8.57864233940253
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>>> vol_hemisphere(0)
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0.0
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>>> vol_hemisphere(-1)
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Traceback (most recent call last):
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...
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ValueError: vol_hemisphere() only accepts non-negative values
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"""
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if radius < 0:
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raise ValueError("vol_hemisphere() only accepts non-negative values")
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return 2 / 3 * pi * pow(radius, 3)
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@ -172,26 +293,93 @@ def vol_circular_cylinder(radius: float, height: float) -> float:
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"""Calculate the Volume of a Circular Cylinder.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cylinder
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:return pi * radius^2 * height
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>>> vol_circular_cylinder(1, 1)
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3.141592653589793
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>>> vol_circular_cylinder(4, 3)
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150.79644737231007
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>>> vol_circular_cylinder(1.6, 1.6)
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12.867963509103795
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>>> vol_circular_cylinder(0, 0)
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0.0
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>>> vol_circular_cylinder(-1, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_circular_cylinder() only accepts non-negative values
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>>> vol_circular_cylinder(1, -1)
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Traceback (most recent call last):
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...
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ValueError: vol_circular_cylinder() only accepts non-negative values
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"""
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if height < 0 or radius < 0:
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raise ValueError("vol_circular_cylinder() only accepts non-negative values")
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return pi * pow(radius, 2) * height
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def vol_conical_frustum(height: float, radius_1: float, radius_2: float):
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def vol_hollow_circular_cylinder(
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inner_radius: float, outer_radius: float, height: float
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) -> float:
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"""Calculate the Volume of a Hollow Circular Cylinder.
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>>> vol_hollow_circular_cylinder(1, 2, 3)
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28.274333882308138
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>>> vol_hollow_circular_cylinder(1.6, 2.6, 3.6)
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47.50088092227767
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>>> vol_hollow_circular_cylinder(-1, 2, 3)
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Traceback (most recent call last):
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...
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ValueError: vol_hollow_circular_cylinder() only accepts non-negative values
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>>> vol_hollow_circular_cylinder(1, -2, 3)
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Traceback (most recent call last):
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...
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ValueError: vol_hollow_circular_cylinder() only accepts non-negative values
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>>> vol_hollow_circular_cylinder(1, 2, -3)
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Traceback (most recent call last):
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...
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ValueError: vol_hollow_circular_cylinder() only accepts non-negative values
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>>> vol_hollow_circular_cylinder(2, 1, 3)
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Traceback (most recent call last):
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...
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ValueError: outer_radius must be greater than inner_radius
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>>> vol_hollow_circular_cylinder(0, 0, 0)
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Traceback (most recent call last):
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...
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ValueError: outer_radius must be greater than inner_radius
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"""
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if inner_radius < 0 or outer_radius < 0 or height < 0:
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raise ValueError(
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"vol_hollow_circular_cylinder() only accepts non-negative values"
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)
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if outer_radius <= inner_radius:
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raise ValueError("outer_radius must be greater than inner_radius")
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return pi * (pow(outer_radius, 2) - pow(inner_radius, 2)) * height
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def vol_conical_frustum(height: float, radius_1: float, radius_2: float) -> float:
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"""Calculate the Volume of a Conical Frustum.
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Wikipedia reference: https://en.wikipedia.org/wiki/Frustum
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:return 1/3 * pi * height * (radius_1^2 + radius_top^2 + radius_1 * radius_2)
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>>> vol_conical_frustum(45, 7, 28)
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48490.482608158454
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>>> vol_conical_frustum(1, 1, 2)
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7.330382858376184
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>>> vol_conical_frustum(1.6, 2.6, 3.6)
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48.7240076620753
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>>> vol_conical_frustum(0, 0, 0)
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0.0
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>>> vol_conical_frustum(-2, 2, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_conical_frustum() only accepts non-negative values
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>>> vol_conical_frustum(2, -2, 1)
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Traceback (most recent call last):
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...
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ValueError: vol_conical_frustum() only accepts non-negative values
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>>> vol_conical_frustum(2, 2, -1)
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Traceback (most recent call last):
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...
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ValueError: vol_conical_frustum() only accepts non-negative values
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"""
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if radius_1 < 0 or radius_2 < 0 or height < 0:
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raise ValueError("vol_conical_frustum() only accepts non-negative values")
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return (
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1
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/ 3
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@ -204,18 +392,21 @@ def vol_conical_frustum(height: float, radius_1: float, radius_2: float):
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def main():
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"""Print the Results of Various Volume Calculations."""
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print("Volumes:")
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print("Cube: " + str(vol_cube(2))) # = 8
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print("Cuboid: " + str(vol_cuboid(2, 2, 2))) # = 8
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print("Cone: " + str(vol_cone(2, 2))) # ~= 1.33
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print("Right Circular Cone: " + str(vol_right_circ_cone(2, 2))) # ~= 8.38
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print("Prism: " + str(vol_prism(2, 2))) # = 4
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print("Pyramid: " + str(vol_pyramid(2, 2))) # ~= 1.33
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print("Sphere: " + str(vol_sphere(2))) # ~= 33.5
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print("Hemisphere: " + str(vol_hemisphere(2))) # ~= 16.75
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print("Circular Cylinder: " + str(vol_circular_cylinder(2, 2))) # ~= 25.1
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print("Conical Frustum: " + str(vol_conical_frustum(2, 2, 4))) # ~= 58.6
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print("Spherical cap: " + str(vol_spherical_cap(1, 2))) # ~= 5.24
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print("Spheres intersetion: " + str(vol_spheres_intersect(2, 2, 1))) # ~= 21.21
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print(f"Cube: {vol_cube(2) = }") # = 8
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print(f"Cuboid: {vol_cuboid(2, 2, 2) = }") # = 8
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print(f"Cone: {vol_cone(2, 2) = }") # ~= 1.33
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print(f"Right Circular Cone: {vol_right_circ_cone(2, 2) = }") # ~= 8.38
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print(f"Prism: {vol_prism(2, 2) = }") # = 4
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print(f"Pyramid: {vol_pyramid(2, 2) = }") # ~= 1.33
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print(f"Sphere: {vol_sphere(2) = }") # ~= 33.5
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print(f"Hemisphere: {vol_hemisphere(2) = }") # ~= 16.75
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print(f"Circular Cylinder: {vol_circular_cylinder(2, 2) = }") # ~= 25.1
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print(
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f"Hollow Circular Cylinder: {vol_hollow_circular_cylinder(1, 2, 3) = }"
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) # ~= 28.3
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print(f"Conical Frustum: {vol_conical_frustum(2, 2, 4) = }") # ~= 58.6
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print(f"Spherical cap: {vol_spherical_cap(1, 2) = }") # ~= 5.24
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print(f"Spheres intersetion: {vol_spheres_intersect(2, 2, 1) = }") # ~= 21.21
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if __name__ == "__main__":
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