public static fp Magnitude(fp3 v)
{
fp r;
r.value =
((v.x.value * v.x.value) >> fixlut.PRECISION) +
((v.y.value * v.y.value) >> fixlut.PRECISION) +
((v.z.value * v.z.value) >> fixlut.PRECISION);
fp r1;
//manually inlined Sqrt()
if (r.value == 0)
{
r1.value = 0;
}
else
{
var b = (r.value >> 1) + 1L;
var c = (b + (r.value / b)) >> 1;
while (c < b)
{
b = c;
c = (b + (r.value / b)) >> 1;
}
r1.value = b << (fixlut.PRECISION >> 1);
}
r = r1;
return(r);
}
public fp4(fp3 v, fp w)
{
x = v.x;
y = v.y;
z = v.z;
this.w = w;
}
public static fp3 Normalize(fp3 v)
{
if (v == fp3.zero)
{
return(fp3.zero);
}
return(v / Magnitude(v));
}
public static fp3 Cross(fp3 a, fp3 b)
{
fp3 r;
r.x = a.y * b.z - a.z * b.y;
r.y = a.z * b.x - a.x * b.z;
r.z = a.x * b.y - a.y * b.x;
return(r);
}
public static fp DistanceSqr(fp3 p1, fp3 p2)
{
fp3 v;
v.x.value = p1.x.value - p2.x.value;
v.y.value = p1.y.value - p2.y.value;
v.z.value = p1.z.value - p2.z.value;
return(MagnitudeSqr(v));
}
public static fp3 Normalize(fp3 v, out fp magnitude)
{
if (v == fp3.zero)
{
magnitude = fp._0;
return(fp3.zero);
}
magnitude = Magnitude(v);
return(v / magnitude);
}
public static fp3 Normalize(fp3 v)
{
if (v == fp3.zero)
{
return(fp3.zero);
}
var magnitude = Magnitude(v);
return(v / magnitude);
}
public static fp Magnitude(fp3 v)
{
fp r;
r.value =
((v.x.value * v.x.value) >> fixlut.PRECISION) +
((v.y.value * v.y.value) >> fixlut.PRECISION) +
((v.z.value * v.z.value) >> fixlut.PRECISION);
return(Sqrt(r));
}
public static fp Angle(fp3 a, fp3 b)
{
var sqr = MagnitudeSqr(a) * MagnitudeSqr(b);
var n = Sqrt(sqr);
if (n < fp.epsilon)
{
return(fp._0);
}
return(Acos(Clamp(Dot(a, b) / n, fp.minus_one, fp._1)) * fp.rad2deg);
}
public static fp Dot(fp3 a, fp3 b)
{
var x = ((a.x.value * b.x.value) >> fixlut.PRECISION);
var y = ((a.y.value * b.y.value) >> fixlut.PRECISION);
var z = ((a.z.value * b.z.value) >> fixlut.PRECISION);
fp r;
r.value = x + y + z;
return(r);
}
public static fp3 ProjectOnPlane(fp3 vector, fp3 planeNormal)
{
var sqrMag = MagnitudeSqr(planeNormal);
if (sqrMag < fp.epsilon)
{
return(vector);
}
var dot = Dot(vector, planeNormal);
return(vector - planeNormal * dot / sqrMag);
}
public static fp3 Project(fp3 vector, fp3 normal)
{
var sqrMag = MagnitudeSqr(normal);
if (sqrMag < fp.epsilon)
{
return(fp3.zero);
}
var dot = Dot(vector, normal);
return(normal * dot / sqrMag);
}
public static fp3 MoveTowards(fp3 current, fp3 target, fp maxDelta)
{
var v = target - current;
var sqrMagnitude = MagnitudeSqr(v);
if (v == fp3.zero || maxDelta >= fp._0 && sqrMagnitude <= maxDelta * maxDelta)
{
return(target);
}
var magnitude = Sqrt(sqrMagnitude);
return(current + v / magnitude * maxDelta);
}
public static fp AngleSigned(fp3 a, fp3 b, fp3 axis)
{
var angle = Angle(a, b);
long num2 = ((a.y.value * b.z.value) >> fixlut.PRECISION) - ((a.z.value * b.y.value) >> fixlut.PRECISION);
long num3 = ((a.z.value * b.x.value) >> fixlut.PRECISION) - ((a.x.value * b.z.value) >> fixlut.PRECISION);
long num4 = ((a.x.value * b.y.value) >> fixlut.PRECISION) - ((a.y.value * b.x.value) >> fixlut.PRECISION);
var sign = (((axis.x.value * num2) >> fixlut.PRECISION) +
((axis.y.value * num3) >> fixlut.PRECISION) +
((axis.z.value * num4) >> fixlut.PRECISION)) < 0
? fp.minus_one
: fp._1;
return(angle * sign);
}
public static fp3 MagnitudeClamp(fp3 v, fp length)
{
var sqrMagnitude = MagnitudeSqr(v);
if (sqrMagnitude <= length * length)
{
return(v);
}
var magnitude = Sqrt(sqrMagnitude);
var normalized = v / magnitude;
return(normalized * length);
}
public fp3 NextFp3(fp3 max)
{
return(NextFp3() * max);
}
public static fp3 Reflect(fp3 vector, fp3 normal)
{
var num = -fp._2 * Dot(normal, vector);
return(new fp3(num * normal.x + vector.x, num * normal.y + vector.y, num * normal.z + vector.z));
}
public static fp Sum(fp3 v)
{
return(new fp(v.x.value + v.y.value + v.z.value));
}
public static fp3 LerpUnclamped(fp3 from, fp3 to, fp t)
{
return(new fp3(LerpUnclamped(from.x, to.x, t), LerpUnclamped(from.y, to.y, t), LerpUnclamped(from.z, to.z, t)));
}
public static fp3 Lerp(fp3 from, fp3 to, fp t)
{
t = Clamp(t, fp.zero, fp.one);
return(new fp3(Lerp(from.x, to.x, t), Lerp(from.y, to.y, t), Lerp(from.z, to.z, t)));
}
public static fp3 Abs(fp3 v)
{
return(new fp3(Abs(v.x), Abs(v.y), Abs(v.z)));
}
public static fp3 Max(fp3 a, fp3 b)
{
return(new fp3(Max(a.x, b.x), Max(a.y, b.y), Max(a.z, b.z)));
}
public static fp3 MagnitudeSet(fp3 v, fp length)
{
return(Normalize(v) * length);
}
public static fp Dot(fp3 a, fp3 b)
{
return(new fp(((a.x.value * b.x.value) >> fixlut.PRECISION) + ((a.y.value * b.y.value) >> fixlut.PRECISION) + ((a.z.value * b.z.value) >> fixlut.PRECISION)));
}
public fp3 NextFp3(fp3 min, fp3 max)
{
return(NextFp3() * (max - min) + min);
}
public static fp RadiansSkipNormalize(fp3 a, fp3 b)
{
return(Acos(Clamp(Dot(a, b), fp.minus_one, fp._1)));
}
public static fp Radians(fp3 a, fp3 b)
{
return(Acos(Clamp(Dot(Normalize(a), Normalize(b)), fp.minus_one, fp._1)));
}