/* Takes a single contour and tries to render it
* as a triangle fan. This handles convex polygons, as well as some
* non-convex polygons if we get lucky.
*
* Returns TRUE if the polygon was successfully rendered. The rendering
* output is provided as callbacks (see the api).
*/
public bool RenderCache()
{
Tesselator.VertexAndIndex[] vCache = this.simpleVertexCache;
Tesselator.VertexAndIndex v0 = vCache[0];
double[] norm3 = new double[3];
int sign;
if (this.cacheCount < 3)
{
/* Degenerate contour -- no output */
return(true);
}
norm3[0] = 0;
norm3[1] = 0;
norm3[2] = 1;
sign = this.ComputeNormal(norm3);
if (sign == SIGN_INCONSISTENT)
{
// Fan triangles did not have a consistent orientation
return(false);
}
if (sign == 0)
{
// All triangles were degenerate
return(true);
}
/* Make sure we do the right thing for each winding rule */
switch (this.windingRule)
{
case Tesselator.WindingRuleType.Odd:
case Tesselator.WindingRuleType.NonZero:
break;
case Tesselator.WindingRuleType.Positive:
if (sign < 0)
{
return(true);
}
break;
case Tesselator.WindingRuleType.Negative:
if (sign > 0)
{
return(true);
}
break;
case Tesselator.WindingRuleType.ABS_GEQ_Two:
return(true);
}
this.CallBegin(this.BoundaryOnly ? Tesselator.TriangleListType.LineLoop
: (this.cacheCount > 3) ? Tesselator.TriangleListType.TriangleFan
: Tesselator.TriangleListType.Triangles);
this.CallVertex(v0.vertexIndex);
if (sign > 0)
{
for (int vcIndex = 1; vcIndex < this.cacheCount; ++vcIndex)
{
this.CallVertex(vCache[vcIndex].vertexIndex);
}
}
else
{
for (int vcIndex = this.cacheCount - 1; vcIndex > 0; --vcIndex)
{
this.CallVertex(vCache[vcIndex].vertexIndex);
}
}
this.CallEnd();
return(true);
}
private int ComputeNormal(double[] norm3)
/*
* Check that each triangle in the fan from v0 has a
* consistent orientation with respect to norm3[]. If triangles are
* consistently oriented CCW, return 1; if CW, return -1; if all triangles
* are degenerate return 0; otherwise (no consistent orientation) return
* SIGN_INCONSISTENT.
*/
{
Tesselator.VertexAndIndex[] vCache = this.simpleVertexCache;
Tesselator.VertexAndIndex v0 = vCache[0];
int vcIndex;
double dot, xc, yc, xp, yp;
double[] n = new double[3];
int sign = 0;
/* Find the polygon normal. It is important to get a reasonable
* normal even when the polygon is self-intersecting (eg. a bowtie).
* Otherwise, the computed normal could be very tiny, but perpendicular
* to the true plane of the polygon due to numerical noise. Then all
* the triangles would appear to be degenerate and we would incorrectly
* decompose the polygon as a fan (or simply not render it at all).
*
* We use a sum-of-triangles normal algorithm rather than the more
* efficient sum-of-trapezoids method (used in CheckOrientation()
* in normal.c). This lets us explicitly reverse the signed area
* of some triangles to get a reasonable normal in the self-intersecting
* case.
*/
vcIndex = 1;
xc = vCache[vcIndex].x - v0.x;
yc = vCache[vcIndex].y - v0.y;
while (++vcIndex < this.cacheCount)
{
xp = xc; yp = yc;
xc = vCache[vcIndex].x - v0.x;
yc = vCache[vcIndex].y - v0.y;
/* Compute (vp - v0) cross (vc - v0) */
n[0] = 0;
n[1] = 0;
n[2] = xp * yc - yp * xc;
dot = n[0] * norm3[0] + n[1] * norm3[1] + n[2] * norm3[2];
if (dot != 0)
{
/* Check the new orientation for consistency with previous triangles */
if (dot > 0)
{
if (sign < 0)
{
return(SIGN_INCONSISTENT);
}
sign = 1;
}
else
{
if (sign > 0)
{
return(SIGN_INCONSISTENT);
}
sign = -1;
}
}
}
return(sign);
}