mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-23 21:11:08 +00:00
80f1da235b
* Add sin function to /maths. * Fix typo in /maths/sin.py * Format sin.py to meet the new black rules. * Some improvements. * Fix a formating error.
65 lines
1.4 KiB
Python
65 lines
1.4 KiB
Python
"""
|
|
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()
|