| Total Complexity | 5 |
| Total Lines | 33 |
| Duplicated Lines | 0 % |
| Changes | 0 | ||
| 1 | from math import asin, atanh, pi, sqrt |
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| 2 | |||
| 3 | |||
| 4 | def volume(height, width): |
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| 5 | a = width / 2.0 |
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| 6 | c = height / 2.0 |
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| 7 | return round(pi * 4.0 / 3 * a * a * c, 2) |
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| 8 | |||
| 9 | |||
| 10 | def surface_area(height, width): |
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| 11 | a = width / 2.0 |
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| 12 | c = height / 2.0 |
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| 13 | if c == a: |
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| 14 | return round(4 * pi * a * a, 2) |
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| 15 | if c < a: |
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| 16 | e2 = 1 - c * c / a / a |
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| 17 | return round(2 * pi * a * a * (1 + (1 - e2) / sqrt(e2) * atanh(sqrt(e2))), 2) |
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| 18 | else: |
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| 19 | e2 = 1 - a * a / c / c |
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| 20 | return round(2 * pi * a * a * (1 + c / a / sqrt(e2) * asin(sqrt(e2))), 2) |
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| 21 | |||
| 22 | |||
| 23 | def checkio(height, width): |
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| 24 | return [volume(height, width), surface_area(height, width)] |
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| 25 | |||
| 26 | |||
| 27 | # These "asserts" using only for self-checking and not necessary for |
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| 28 | # auto-testing |
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| 29 | if __name__ == '__main__': |
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| 30 | assert checkio(4, 2) == [8.38, 21.48], "Prolate spheroid" |
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| 31 | assert checkio(2, 2) == [4.19, 12.57], "Sphere" |
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| 32 | assert checkio(2, 4) == [16.76, 34.69], "Oblate spheroid" |
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| 33 |