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maths/sin.py
64 строки
1 KB
zer0-x
Add sin function to maths (#5949)
16 май 2022, 14:28
Не верифицирован
16 май 2022, 14:28
80f1da2
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""" Calculate sin function. It's not a perfect function so I am rounding the result to 10 decimal places by default. Formula: sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ... Where: x = angle in randians. Source: https://www.homeschoolmath.net/teaching/sine_calculator.php """ from math import factorial, radians def sin( angle_in_degrees: float, accuracy: int = 18, rounded_values_count: int = 10 ) -> float: """ Implement sin function. >>> sin(0.0) 0.0 >>> sin(90.0) 1.0 >>> sin(180.0) 0.0 >>> sin(270.0) -1.0 >>> sin(0.68) 0.0118679603 >>> sin(1.97) 0.0343762121 >>> sin(64.0) 0.8987940463 >>> sin(9999.0) -0.9876883406 >>> sin(-689.0) 0.5150380749 >>> sin(89.7) 0.9999862922 """ # Simplify the angle to be between 360 and -360 degrees. angle_in_degrees = angle_in_degrees - ((angle_in_degrees // 360.0) * 360.0) # Converting from degrees to radians angle_in_radians = radians(angle_in_degrees) result = angle_in_radians a = 3 b = -1 for _ in range(accuracy): result += (b * (angle_in_radians**a)) / factorial(a) b = -b # One positive term and the next will be negative and so on... a += 2 # Increased by 2 for every term. return round(result, rounded_values_count) if __name__ == "__main__": __import__("doctest").testmod()