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Using pi, sqrt, asin, atanh from math module solution in Clear category for Humpty Dumpty Form by H0r4c3
from math import pi, sqrt, asin, atanh
def volume_of_ellipsoid(r1, r2, r3):
return (4/3) * pi * r1 * r2 * r3
def surface_area_of_ellipsoid(height, width):
if height == width:
r = 0.5 * width
surface_area = 4 * pi * r**2
return surface_area
elif height > width: #If ellipsoid is prolate
a = 0.5 * width
b = 0.5 * height
e2 = 1 - a**2 / b**2
e = sqrt(e2)
surface_area = 2 * pi * a**2 * (1 + b / (a * e) * asin(e))
return surface_area
elif height < width: #If ellipsoid is oblate
a = 0.5 * width
b = 0.5 * height
e2 = 1 - b**2 / a**2
e = sqrt(e2)
surface_area = 2 * pi * a**2 * (1 + (1 - e2) / e * atanh(e))
return surface_area
def checkio(height, width):
volume = volume_of_ellipsoid(0.5 * height, 0.5 * width, 0.5 * width)
area = surface_area_of_ellipsoid(height, width)
result = [round(volume, 2), round(area, 2)]
print(result)
return result
#These "asserts" using only for self-checking and not necessary for auto-testing
if __name__ == '__main__':
assert checkio(4, 2) == [8.38, 21.48], "Prolate spheroid"
assert checkio(2, 2) == [4.19, 12.57], "Sphere"
assert checkio(2, 4) == [16.76, 34.69], "Oblate spheroid"
June 25, 2022
