public static long Sin(long theta)
{
//Taylor series cuz easy
//TODO: Profiling
//Note: Max 4 multiplications before overflow
theta = theta - FixedMath.TwoPi * FixedMath.Floor((theta + FixedMath.Pi) / FixedMath.TwoPi);
long thetaSquared = theta.Mul(theta);
long result = theta;
const int shift = FixedMath.SHIFT_AMOUNT;
//2 shifts for 2 multiplications but there's a division so only 1 shift
long n = (theta * theta * theta) >> (shift * 1);
const long Factorial3 = 3 * 2 * FixedMath.One;
result -= n / Factorial3;
n *= thetaSquared;
n >>= shift;
const long Factorial5 = Factorial3 * 4 * 5;
result += (n / Factorial5);
n *= thetaSquared;
n >>= shift;
const long Factorial7 = Factorial5 * 6 * 7;
result -= n / Factorial7;
#if true || HIGH_ACCURACY
//Required or there'll be .07 inaccuracy
n *= thetaSquared;
n >>= shift;
const long Factorial9 = Factorial7 * 8 * 9;
result += n / Factorial9;
#endif
return(result);
}
