//泰勒公式 sinx=x-x^3/3!+x^5/5!-x^7/7!+x^9/9!
public static BitFloat Sin(BitFloat angle)
{
BitFloat twicePI = PI * 2;
BitFloat halfPI = PI / 2;
BitFloat rad = Deg2Rad(angle) % twicePI;
if (rad < 0)
{
rad = rad + twicePI;
}
int quadrant = (rad / halfPI).IntValue;
bool mirror = quadrant == 1 || quadrant == 3;
bool flip = quadrant == 2 || quadrant == 3;
rad = rad % halfPI;
if (mirror)
{
rad = halfPI - rad;
}
BitFloat square = rad * rad;
BitFloat cube = square * rad;
BitFloat result = rad - (cube / 6) + (cube * square / 120);
if (flip)
{
result *= -1;
}
return(result);
}
private void Awake()
{
float fa = 200f;
float fb = 2155.358f;
BitFloat bfa = BitFloat.Create(fa);
BitFloat bfb = BitFloat.Create(fb);
Debug.LogFormat("fa + fb={0} bfa + bfb={1}", fa + fb, (bfa + bfb).FloatValue);
Debug.LogFormat("fa - fb={0} bfa - bfb={1}", fa - fb, (bfa - bfb).FloatValue);
Debug.LogFormat("fa * fb={0} bfa * bfb={1}", fa * fb, (bfa * bfb).FloatValue);
Debug.LogFormat("fa / fb={0} bfa / bfb={1}", fa / fb, (bfa / bfb).FloatValue);
Debug.LogFormat("fa % fb={0} bfa % bfb={1}", fa % fb, (bfa % bfb).FloatValue);
Debug.LogFormat("PI={0} bitPI={1}", Mathf.PI, BitMathUtil.PI.FloatValue);
Debug.LogFormat("sqrt(fa)={0} sqrt(bfa)={1}", Mathf.Sqrt(fa), BitMathUtil.Sqrt(bfa).FloatValue);
Debug.LogFormat("abs(fa)={0} abs(bfa)={1}", Mathf.Abs(fa), BitMathUtil.Abs(bfa).FloatValue);
Debug.LogFormat("floor(fa)={0} floor(bfa)={1}", Mathf.Floor(fa), BitMathUtil.Floor(bfa).FloatValue);
Debug.LogFormat("round(fa)={0} round(bfa)={1}", Mathf.Round(fa), BitMathUtil.Round(bfa).FloatValue);
Debug.LogFormat("ceil(fa)={0} ceil(bfa)={1}", Mathf.Ceil(fa), BitMathUtil.Ceil(bfa).FloatValue);
Debug.LogFormat("Min(fa,fb)={0} Min(bfa,bfb)={1}", Mathf.Min(fa, fb), BitMathUtil.Min(bfa, bfb).FloatValue);
Debug.LogFormat("Max(fa,fb)={0} Max(bfa,bfb)={1}", Mathf.Max(fa, fb), BitMathUtil.Max(bfa, bfb).FloatValue);
Debug.LogFormat("Deg2Rad(fa)={0} Deg2Rad(bfa)={1}", Mathf.Deg2Rad * fa, BitMathUtil.Deg2Rad(bfa).FloatValue);
Debug.LogFormat("Sin(fa)={0} Sin(bfa)={1}", Mathf.Sin(Mathf.Deg2Rad * fa), BitMathUtil.Sin(bfa).FloatValue);
Debug.LogFormat("Cos(fa)={0} Cos(bfa)={1}", Mathf.Cos(Mathf.Deg2Rad * fa), BitMathUtil.Cos(bfa).FloatValue);
}
//泰勒公式 cos x = 1-x^2/2!+x^4/4!
public static BitFloat Cos(BitFloat angle)
{
BitFloat twicePI = PI * 2;
BitFloat halfPI = PI / 2;
BitFloat rad = Deg2Rad(angle) % twicePI;
if (rad < 0)
{
rad = rad + twicePI;
}
int quadrant = (rad / halfPI).IntValue;
bool mirror = quadrant == 1 || quadrant == 3;
bool flip = quadrant == 1 || quadrant == 2;
rad = rad % halfPI;
if (mirror)
{
rad = halfPI - rad;
}
BitFloat square = rad * rad;
BitFloat result = BitFloat.One - (square / 2) + (square * square / 24);
if (flip)
{
result *= -1;
}
return(result);
}
public static BitFloat Abs(BitFloat number)
{
if (number.value >= 0)
{
return(new BitFloat(number.value));
}
else
{
return(new BitFloat(-number.value));
}
}
public static BitFloat Sqrt(BitFloat number)
{
long value = number.value;
if (value == 0)
{
return(new BitFloat(0));
}
long n = (value >> 1) + 1;
long m = (n + (value / n)) >> 1;
while (m < n)
{
n = m;
m = (n + (value / n)) >> 1;
}
return(new BitFloat(n << (BitFloat.BIT / 2)));
}
public static BitFloat Deg2Rad(BitFloat number)
{
return(number * PI / 180);
}
public static BitFloat Rad2Deg(BitFloat number)
{
return(number * 180 / PI);
}
public static BitFloat Max(BitFloat a, BitFloat b)
{
return(a >= b ? a : b);
}
public static BitFloat Min(BitFloat a, BitFloat b)
{
return(a <= b ? a : b);
}
public static BitFloat Ceil(BitFloat number)
{
long value = number.value + BitFloat.One.value - 1;
return(new BitFloat((value >> BitFloat.BIT) << BitFloat.BIT));
}
public static BitFloat Round(BitFloat number)
{
return(Floor(number + BitFloat.Half));
}
public static BitFloat Floor(BitFloat number)
{
return(new BitFloat((number.value >> BitFloat.BIT) << BitFloat.BIT));
}
public static BitFloat Tan(BitFloat angle)
{
return(Sin(angle) / Cos(angle));
}