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Added Torus surface area (#7906)

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* Added Torus surface area

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Fixed error in test

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
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Paradact 2022-10-31 22:50:50 +01:00 committed by GitHub
parent 6cd7c49525
commit 6c15f526e5
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1 changed files with 35 additions and 0 deletions
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35
maths/area.py
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@ -201,6 +201,40 @@ def surface_area_cylinder(radius: float, height: float) -> float:
return 2 * pi * radius * (height + radius) return 2 * pi * radius * (height + radius)
def surface_area_torus(torus_radius: float, tube_radius: float) -> float:
"""Calculate the Area of a Torus.
Wikipedia reference: https://en.wikipedia.org/wiki/Torus
:return 4pi^2 * torus_radius * tube_radius
>>> surface_area_torus(1, 1)
39.47841760435743
>>> surface_area_torus(4, 3)
473.7410112522892
>>> surface_area_torus(3, 4)
Traceback (most recent call last):
...
ValueError: surface_area_torus() does not support spindle or self intersecting tori
>>> surface_area_torus(1.6, 1.6)
101.06474906715503
>>> surface_area_torus(0, 0)
0.0
>>> surface_area_torus(-1, 1)
Traceback (most recent call last):
...
ValueError: surface_area_torus() only accepts non-negative values
>>> surface_area_torus(1, -1)
Traceback (most recent call last):
...
ValueError: surface_area_torus() only accepts non-negative values
"""
if torus_radius < 0 or tube_radius < 0:
raise ValueError("surface_area_torus() only accepts non-negative values")
if torus_radius < tube_radius:
raise ValueError(
"surface_area_torus() does not support spindle or self intersecting tori"
)
return 4 * pow(pi, 2) * torus_radius * tube_radius
def area_rectangle(length: float, width: float) -> float: def area_rectangle(length: float, width: float) -> float:
""" """
Calculate the area of a rectangle. Calculate the area of a rectangle.
@ -543,6 +577,7 @@ if __name__ == "__main__":
print(f"Cone: {surface_area_cone(10, 20) = }") print(f"Cone: {surface_area_cone(10, 20) = }")
print(f"Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }") print(f"Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }")
print(f"Cylinder: {surface_area_cylinder(10, 20) = }") print(f"Cylinder: {surface_area_cylinder(10, 20) = }")
print(f"Torus: {surface_area_torus(20, 10) = }")
print(f"Equilateral Triangle: {area_reg_polygon(3, 10) = }") print(f"Equilateral Triangle: {area_reg_polygon(3, 10) = }")
print(f"Square: {area_reg_polygon(4, 10) = }") print(f"Square: {area_reg_polygon(4, 10) = }")
print(f"Reqular Pentagon: {area_reg_polygon(5, 10) = }") print(f"Reqular Pentagon: {area_reg_polygon(5, 10) = }")