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65 lines
1.4 KiB
Python
65 lines
1.4 KiB
Python
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"""
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Calculate sin function.
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It's not a perfect function so I am rounding the result to 10 decimal places by default.
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Formula: sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...
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Where: x = angle in randians.
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Source:
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https://www.homeschoolmath.net/teaching/sine_calculator.php
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"""
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from math import factorial, radians
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def sin(
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angle_in_degrees: float, accuracy: int = 18, rounded_values_count: int = 10
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) -> float:
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"""
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Implement sin function.
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>>> sin(0.0)
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0.0
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>>> sin(90.0)
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1.0
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>>> sin(180.0)
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0.0
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>>> sin(270.0)
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-1.0
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>>> sin(0.68)
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0.0118679603
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>>> sin(1.97)
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0.0343762121
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>>> sin(64.0)
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0.8987940463
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>>> sin(9999.0)
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-0.9876883406
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>>> sin(-689.0)
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0.5150380749
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>>> sin(89.7)
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0.9999862922
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"""
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# Simplify the angle to be between 360 and -360 degrees.
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angle_in_degrees = angle_in_degrees - ((angle_in_degrees // 360.0) * 360.0)
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# Converting from degrees to radians
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angle_in_radians = radians(angle_in_degrees)
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result = angle_in_radians
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a = 3
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b = -1
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for _ in range(accuracy):
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result += (b * (angle_in_radians**a)) / factorial(a)
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b = -b # One positive term and the next will be negative and so on...
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a += 2 # Increased by 2 for every term.
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return round(result, rounded_values_count)
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if __name__ == "__main__":
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__import__("doctest").testmod()
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