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Replaced a lot of trig calls with lookup tables for common prim types in an attempt to improve meshing speed. 

Added a new between points interpolation method to improve accuracy of profile cuts in triangle and square profile prims.
0.6.0-stable
Dahlia Trimble 2008-09-05 16:38:51 +00:00
parent 8e6062631c
commit 0fc618e7b2
1 changed files with 202 additions and 43 deletions
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245
OpenSim/Region/Physics/Meshing/PrimMesher.cs
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@ -79,10 +79,137 @@ namespace OpenSim.Region.Physics.Meshing
}
}
//internal float angles3[][] = [
//[0.0f, 1.0f, 0.0f],
//[0.33333333333333331f, -0.49999999999999978f, 0.86602540378443871f],
//[0.66666666666666663f, -0.50000000000000044f, -0.86602540378443837f],
//[1.0f, 1.0f, -2.4492127076447545e-016f]];
/*
angles3 = [
[0.0, 1.0, 0.0],
[0.33333333333333331, -0.49999999999999978, 0.86602540378443871],
[0.66666666666666663, -0.50000000000000044, -0.86602540378443837],
[1.0, 1.0, -2.4492127076447545e-016]]
angles4 = [
[0.0, 1.0, 0.0],
[0.25, 0.0, 1.0],
[0.5, -1.0, 0.0],
[0.75, 0.0, -1.0],
[1.0, 1.0, 0.0]]
angles24 = [
[0.0, 0.5, 0.0],
[0.041666666666666664, 0.48296291314453416, 0.12940952255126037],
[0.083333333333333329, 0.43301270189221935, 0.25],
[0.125, 0.35355339059327379, 0.35355339059327373],
[0.16666666666666666, 0.25, 0.4330127018922193],
[0.20833333333333331, 0.12940952255126048, 0.4829629131445341],
[0.25, 0.0, 0.5],
[0.29166666666666663, -0.12940952255126031, 0.48296291314453416],
[0.33333333333333331, -0.25, 0.43301270189221935],
[0.375, -0.35355339059327373, 0.35355339059327379],
[0.41666666666666663, -0.43301270189221924, 0.25],
[0.45833333333333331, -0.4829629131445341, 0.12940952255126051],
[0.5, -0.5, 0.0],
[0.54166666666666663, -0.48296291314453421, -0.12940952255126018],
[0.58333333333333326, -0.43301270189221941, -0.25],
[0.62499999999999989, -0.35355339059327395, -0.35355339059327356],
[0.66666666666666663, -0.25, -0.43301270189221919],
[0.70833333333333326, -0.12940952255126076, -0.48296291314453405],
[0.75, 0.0, -0.5],
[0.79166666666666663, 0.12940952255126015, -0.48296291314453421],
[0.83333333333333326, 0.25, -0.43301270189221952],
[0.875, 0.35355339059327368, -0.35355339059327384],
[0.91666666666666663, 0.43301270189221919, -0.25],
[0.95833333333333326, 0.48296291314453405, -0.12940952255126079],
[1.0, 0.5, 0.0]]
angles24 = [
[0.0, 1.0, 0.0],
[0.041666666666666664, 0.96592582628906831, 0.25881904510252074],
[0.083333333333333329, 0.86602540378443871, 0.5],
[0.125, 0.70710678118654757, 0.70710678118654746],
[0.16666666666666667, 0.5, 0.8660254037844386],
[0.20833333333333331, 0.25881904510252096, 0.9659258262890682],
[0.25, 6.1230317691118863e-017, 1.0],
[0.29166666666666663, -0.25881904510252063, 0.96592582628906831],
[0.33333333333333333, -0.5, 0.86602540378443871],
[0.375, -0.70710678118654746, 0.70710678118654757],
[0.41666666666666663, -0.86602540378443849, 0.5],
[0.45833333333333331, -0.9659258262890682, 0.25881904510252102],
[0.5, -1.0, 1.2246063538223773e-016],
[0.54166666666666663, -0.96592582628906842, -0.25881904510252035],
[0.58333333333333326, -0.86602540378443882, -0.5],
[0.62499999999999989, -0.70710678118654791, -0.70710678118654713],
[0.66666666666666667, -0.5, -0.86602540378443837],
[0.70833333333333326, -0.25881904510252152, -0.96592582628906809],
[0.75, -1.8369095307335659e-016, -1.0],
[0.79166666666666663, 0.2588190451025203, -0.96592582628906842],
[0.83333333333333326, 0.5, -0.86602540378443904],
[0.875, 0.70710678118654735, -0.70710678118654768],
[0.91666666666666663, 0.86602540378443837, -0.5],
[0.95833333333333326, 0.96592582628906809, -0.25881904510252157],
[1.0, 1.0, -2.4492127076447545e-016]]
*/
internal class AngleList
{
private float iX, iY; // intersection point
private Angle[] angles3 =
{
new Angle(0.0f, 1.0f, 0.0f),
new Angle(0.33333333333333333f, -0.5f, 0.86602540378443871f),
new Angle(0.66666666666666667f, -0.5f, -0.86602540378443837f),
new Angle(1.0f, 1.0f, 0.0f)
};
private Angle[] angles4 =
{
new Angle(0.0f, 1.0f, 0.0f),
new Angle(0.25f, 0.0f, 1.0f),
new Angle(0.5f, -1.0f, 0.0f),
new Angle(0.75f, 0.0f, -1.0f),
new Angle(1.0f, 1.0f, 0.0f)
};
private Angle[] angles24 =
{
new Angle(0.0f, 1.0f, 0.0f),
new Angle(0.041666666666666664f, 0.96592582628906831f, 0.25881904510252074f),
new Angle(0.083333333333333329f, 0.86602540378443871f, 0.5f),
new Angle(0.125f, 0.70710678118654757f, 0.70710678118654746f),
new Angle(0.16666666666666667f, 0.5f, 0.8660254037844386f),
new Angle(0.20833333333333331f, 0.25881904510252096f, 0.9659258262890682f),
new Angle(0.25f, 0.0f, 1.0f),
new Angle(0.29166666666666663f, -0.25881904510252063f, 0.96592582628906831f),
new Angle(0.33333333333333333f, -0.5f, 0.86602540378443871f),
new Angle(0.375f, -0.70710678118654746f, 0.70710678118654757f),
new Angle(0.41666666666666663f, -0.86602540378443849f, 0.5f),
new Angle(0.45833333333333331f, -0.9659258262890682f, 0.25881904510252102f),
new Angle(0.5f, -1.0f, 0.0f),
new Angle(0.54166666666666663f, -0.96592582628906842f, -0.25881904510252035f),
new Angle(0.58333333333333326f, -0.86602540378443882f, -0.5f),
new Angle(0.62499999999999989f, -0.70710678118654791f, -0.70710678118654713f),
new Angle(0.66666666666666667f, -0.5f, -0.86602540378443837f),
new Angle(0.70833333333333326f, -0.25881904510252152f, -0.96592582628906809f),
new Angle(0.75f, 0.0f, -1.0f),
new Angle(0.79166666666666663f, 0.2588190451025203f, -0.96592582628906842f),
new Angle(0.83333333333333326f, 0.5f, -0.86602540378443904f),
new Angle(0.875f, 0.70710678118654735f, -0.70710678118654768f),
new Angle(0.91666666666666663f, 0.86602540378443837f, -0.5f),
new Angle(0.95833333333333326f, 0.96592582628906809f, -0.25881904510252157f),
new Angle(1.0f, 1.0f, 0.0f)
};
private Angle interpolatePoints(float newPoint, Angle p1, Angle p2)
{
float m = (newPoint - p1.angle) / (p2.angle - p1.angle);
return new Angle(newPoint, p1.X + m * (p2.X - p1.X), p1.Y + m * (p2.Y - p1.Y));
}
private void intersection(double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4)
{ // ref: http://local.wasp.uwa.edu.au/~pbourke/geometry/lineline2d/
double denom = (y4 - y3) * (x2 - x1) - (x4 - x3) * (y2 - y1);
@ -98,64 +225,96 @@ namespace OpenSim.Region.Physics.Meshing
internal List<Angle> angles;
// this class should have a table of most commonly computed values
// instead of all the trig function calls
// most common would be for sides = 3, 4, or 24
internal void makeAngles( int sides, float startAngle, float stopAngle )
{
angles = new List<Angle>();
double twoPi = System.Math.PI * 2.0;
float twoPiInv = 1.0f / (float)twoPi;
if (sides < 1)
throw new Exception("number of sides not greater than zero");
if (stopAngle <= startAngle)
throw new Exception("stopAngle not greater than startAngle");
double stepSize = twoPi / sides;
int startStep = (int) (startAngle / stepSize);
double angle = stepSize * startStep;
int step = startStep;
double stopAngleTest = stopAngle;
if (stopAngle < twoPi)
if ((sides == 3 || sides == 4 || sides == 24))
{
stopAngleTest = stepSize * ((int)(stopAngle / stepSize) + 1);
if (stopAngleTest < stopAngle)
stopAngleTest += stepSize;
if (stopAngleTest > twoPi)
stopAngleTest = twoPi;
startAngle *= twoPiInv;
stopAngle *= twoPiInv;
Angle[] sourceAngles;
if (sides == 3)
sourceAngles = angles3;
else if (sides == 4)
sourceAngles = angles4;
else sourceAngles = angles24;
int startAngleIndex = (int)(startAngle * sides);
int endAngleIndex = sourceAngles.Length - 1;
if (stopAngle < 1.0f)
endAngleIndex = (int)(stopAngle * sides) + 1;
if (endAngleIndex == startAngleIndex)
endAngleIndex++;
for (int angleIndex = startAngleIndex; angleIndex < endAngleIndex + 1; angleIndex++)
angles.Add(sourceAngles[angleIndex]);
if (startAngle > 0.0f)
angles[0] = interpolatePoints(startAngle, angles[0], angles[1]);
if (stopAngle < 1.0f)
{
int lastAngleIndex = angles.Count - 1;
angles[lastAngleIndex] = interpolatePoints(stopAngle, angles[lastAngleIndex - 1], angles[lastAngleIndex]);
}
}
while (angle <= stopAngleTest)
else
{
Angle newAngle;
newAngle.angle = (float) angle;
newAngle.X = (float) System.Math.Cos(angle);
newAngle.Y = (float) System.Math.Sin(angle);
angles.Add(newAngle);
step += 1;
angle = stepSize * step;
}
double stepSize = twoPi / sides;
if (startAngle > angles[0].angle)
{
Angle newAngle;
intersection(angles[0].X, angles[0].Y, angles[1].X, angles[1].Y, 0.0f, 0.0f, (float)Math.Cos(startAngle), (float)Math.Sin(startAngle));
newAngle.angle = startAngle;
newAngle.X = iX;
newAngle.Y = iY;
angles[0] = newAngle;
}
int startStep = (int)(startAngle / stepSize);
double angle = stepSize * startStep;
int step = startStep;
double stopAngleTest = stopAngle;
if (stopAngle < twoPi)
{
stopAngleTest = stepSize * ((int)(stopAngle / stepSize) + 1);
if (stopAngleTest < stopAngle)
stopAngleTest += stepSize;
if (stopAngleTest > twoPi)
stopAngleTest = twoPi;
}
int index = angles.Count - 1;
if (stopAngle < angles[index].angle)
{
Angle newAngle;
intersection(angles[index - 1].X, angles[index - 1].Y, angles[index].X, angles[index].Y, 0.0f, 0.0f, (float)Math.Cos(stopAngle), (float)Math.Sin(stopAngle));
newAngle.angle = stopAngle;
newAngle.X = iX;
newAngle.Y = iY;
angles[index] = newAngle;
while (angle <= stopAngleTest)
{
Angle newAngle;
newAngle.angle = (float)angle;
newAngle.X = (float)System.Math.Cos(angle);
newAngle.Y = (float)System.Math.Sin(angle);
angles.Add(newAngle);
step += 1;
angle = stepSize * step;
}
if (startAngle > angles[0].angle)
{
Angle newAngle;
intersection(angles[0].X, angles[0].Y, angles[1].X, angles[1].Y, 0.0f, 0.0f, (float)Math.Cos(startAngle), (float)Math.Sin(startAngle));
newAngle.angle = startAngle;
newAngle.X = iX;
newAngle.Y = iY;
angles[0] = newAngle;
}
int index = angles.Count - 1;
if (stopAngle < angles[index].angle)
{
Angle newAngle;
intersection(angles[index - 1].X, angles[index - 1].Y, angles[index].X, angles[index].Y, 0.0f, 0.0f, (float)Math.Cos(stopAngle), (float)Math.Sin(stopAngle));
newAngle.angle = stopAngle;
newAngle.X = iX;
newAngle.Y = iY;
angles[index] = newAngle;
}
}
}
}