public static FInt Asin(FInt F)
{
bool isNegative = F < 0;
F = Abs(F);
if (F > FInt.OneF)
{
throw new ArithmeticException("Bad Asin Input:" + F.ToDouble());
}
FInt f1 = mul(mul(mul(mul(FInt.Create(145103 >> FInt.SHIFT_AMOUNT, false), F) -
FInt.Create(599880 >> FInt.SHIFT_AMOUNT, false), F) +
FInt.Create(1420468 >> FInt.SHIFT_AMOUNT, false), F) -
FInt.Create(3592413 >> FInt.SHIFT_AMOUNT, false), F) +
FInt.Create(26353447 >> FInt.SHIFT_AMOUNT, false);
FInt f2 = PI / FInt.Create(2, true) - (Sqrt(FInt.OneF - F) * f1);
return(isNegative ? f2.Inverse : f2);
}
// Rotates degree to targetDegree (between 0 and 360), taking the shortest distance. Lerp argument is amount to rotate by.
// Note: Lerp of 0.5 may be good place to start.
public static FInt RotateTo(FInt degree, FInt targetDegree, FInt lerp)
{
FInt diff = targetDegree - degree + 360;
// Return Target Degree if it's been matched.
if (FInt.Abs(diff) <= lerp)
{
return(targetDegree);
}
// Otherwise, return next step:
if (diff > 0)
{
degree += lerp;
}
else
{
degree -= lerp;
}
return(FPDegrees.Normalize(degree));
}
public static FInt Atan2(FInt F1, FInt F2)
{
if (F2.RawValue == 0 && F1.RawValue == 0)
{
return((FInt)0);
}
FInt result = (FInt)0;
if (F2 > 0)
{
result = Atan(F1 / F2);
}
else if (F2 < 0)
{
result = (F1 >= 0) ? (PI - Atan(Abs(F1 / F2))) : (PI - Atan(Abs(F1 / F2))).Inverse;
}
else
{
result = (F1 >= 0 ? PI : PI.Inverse) / FInt.Create(2, true);
}
return(result);
}
// Sin
public static FInt Sin(FInt i)
{
FInt j = (FInt)0;
for (; i < 0; i += FInt.Create(25736, false))
{
;
}
if (i > FInt.Create(25736, false))
{
i %= FInt.Create(25736, false);
}
FInt k = (i * FInt.Create(10, false)) / FInt.Create(714, false);
if (i != 0 && i != FInt.Create(6434, false) && i != FInt.Create(12868, false) &&
i != FInt.Create(19302, false) && i != FInt.Create(25736, false))
{
j = (i * FInt.Create(100, false)) / FInt.Create(714, false) - k * FInt.Create(10, false);
}
if (k <= FInt.Create(90, false))
{
return(SinLookup(k, j));
}
if (k <= FInt.Create(180, false))
{
return(SinLookup(FInt.Create(180, false) - k, j));
}
if (k <= FInt.Create(270, false))
{
return(SinLookup(k - FInt.Create(180, false), j).Inverse);
}
else
{
return(SinLookup(FInt.Create(360, false) - k, j).Inverse);
}
}
public static FInt PIOver180F = PI / (FInt)180; //PI / 180
// Square Root
public static FInt Sqrt(FInt f, int NumberOfIterations)
{
if (f.RawValue < 0) //NaN in Math.Sqrt
{
throw new ArithmeticException("Input Error");
}
if (f.RawValue == 0)
{
return((FInt)0);
}
FInt k = f + FInt.OneF >> 1;
for (int i = 0; i < NumberOfIterations; i++)
{
k = (k + (f / k)) >> 1;
}
if (k.RawValue < 0)
{
throw new ArithmeticException("Overflow");
}
return(k);
}
public static FInt GetYFromRotation(FInt degrees, FInt distance)
{
return(FPRadians.GetYFromRotation(FPDegrees.ConvertToRadians(degrees), distance));
}
// Reverse the angle
public static FInt Reverse(FInt degrees)
{
return(FPDegrees.Normalize(degrees + 180));
}
// Quadratic Bezier Interpolation
// https://en.wikipedia.org/wiki/Bezier_curve
// p0, p1, p2 are Start Point, Control Point, End Point
public static FInt QuadBezier(FInt p0, FInt p1, FInt p2, FInt weight)
{
FInt k = 1 - weight;
return((k * k * p0) + (2 * (1 - weight) * weight * p1) + (weight * weight * p2));
}
public static FInt GetYOffsetFromRotation(FInt radian, int xOffset, int yOffset)
{
return(-yOffset *FInt.Cos(radian) + xOffset * FInt.Sin(radian));
}
public static FInt GetYFromRotation(FInt radian, FInt distance)
{
return(distance * FInt.Sin(radian));
}
// Reverse / Invert Radians
public static FInt Reverse(FInt radian)
{
return(FPRadians.Normalize(radian + FInt.PI));
}
// Shift degrees to valid ranges.
public static FInt Wrap(FInt radian)
{
return(FPSpectrum.Wrap(radian, FInt.PI, FInt.PI));
}
// Get the speed needed to cover a distance over the time provided.
public static FInt Speed(FInt distance, FInt time)
{
return(distance / time);
}
// Conversions
public static FInt ConvertToRadians(FInt degrees)
{
return(degrees * FInt.PI / 180);
}
public static FInt Tan(FInt i)
{
return(Sin(i) / Cos(i));
}
// Cos, Tan, Asin
public static FInt Cos(FInt i)
{
return(Sin(i + FInt.Create(6435, false)));
}
private static FInt mul(FInt F1, FInt F2)
{
return(F1 * F2);
}
public static FInt operator >>(FInt one, int Amount)
{
return(FInt.Create(one.RawValue >> Amount, false));
}
// Find the degrees between two coordinates
public static FInt GetDegreesBetweenCoords(int x1, int y1, int x2, int y2)
{
return(FInt.Atan2(FInt.Create(y2 - y1), FInt.Create(x2 - x1)) * 180 / FInt.PI);
}
// ATan, ATan2
public static FInt Atan(FInt F)
{
return(Asin(F / Sqrt(FInt.OneF + (F * F))));
}
public static FInt ConvertToPercent(FInt radian)
{
return(FPSpectrum.GetPercentFromValue(FPRadians.Wrap(radian), (0 - FInt.PI), FInt.PI));
}
// Abs
public static FInt Abs(FInt F)
{
return((F < 0) ? F.Inverse : F);
}
// Normalize radians to valid range: 0 to 2pi
public static FInt Normalize(FInt radian)
{
radian %= (2 * FInt.PI);
return(radian >= 0 ? radian : radian + (2 * FInt.PI));
}
public static FInt ConvertToPercent(FInt degrees)
{
return(FPSpectrum.GetPercentFromValue(FPRadians.Wrap(degrees), FInt.Create(-180), FInt.Create(180)));
}
// Find the radians between two coordinates
public static FInt GetRadiansBetweenCoords(int x1, int y1, int x2, int y2)
{
return(FInt.Atan2(FInt.Create(y2 - y1), FInt.Create(x2 - x1)));
}
// Shift degrees to valid ranges.
public static FInt Wrap(FInt degrees)
{
return(FPSpectrum.Wrap(degrees, FInt.Create(-180), FInt.Create(180)));
}
// Convert between degrees and percent
public static FInt ConvertToDegrees(FInt radian)
{
return(radian * 180 / FInt.PI);
}
public static FInt Normalize(FInt degrees)
{
return(FPSpectrum.Wrap(degrees, FInt.Create(0), FInt.Create(360)));
}
// Rotate a Radian
public static FInt Rotate(FInt radian, FInt rotate)
{
return((radian + rotate) % (FInt.PI * 2));
}
// Get value between two numbers using weight factor (0 to 1);
public static FInt Number(FInt val1, FInt val2, FInt weight)
{
return((1 - weight) * val1 + weight * val2);
}