static RenderTolerance()
{
// cache this values - only do the check once
isVistaOrNewer = Const.IsVistaOrNewer;
isSoftwareRendering = (RenderCapability.Tier == 0);
isSquare96Dpi = ((MathEx.AreCloseEnough(Const.DpiX, Const.DpiY)) && (MathEx.AreCloseEnough(Const.DpiX, 96.0)));
ResetDefaults();
}
private static Matrix GetConversionToRelative(Point min, Point max)
{
double width = max.X - min.X;
double height = max.Y - min.Y;
double scaleX = MathEx.AreCloseEnough(width, 0.0) ? 0.0 : 1.0 / width;
double scaleY = MathEx.AreCloseEnough(height, 0.0) ? 0.0 : 1.0 / height;
Matrix result = new ScaleTransform(scaleX, scaleY).Value;
result.OffsetX = -min.X * scaleX;
result.OffsetY = -min.Y * scaleY;
return(result);
}
private bool CompareStroke(Stroke originalStroke, Stroke currerntStroke)
{
if (originalStroke.StylusPoints.Count != currerntStroke.StylusPoints.Count)
{
return(false);
}
for (int i = 0; i < originalStroke.StylusPoints.Count; i++)
{
if (!(MathEx.AreCloseEnough((Point)originalStroke.StylusPoints[i], (Point)currerntStroke.StylusPoints[i])))
{
return(false);
}
}
return(true);
}
public void NormalizeTextureCoordinates()
{
// Shortcuts for common cases
if (MathEx.AreCloseEnough(minUV, new Point()))
{
if (MathEx.AreCloseEnough(maxUV, new Point()) ||
MathEx.AreCloseEnough(maxUV, new Point(1, 1)))
{
// pre-normalized or no UV's
return;
}
}
double scaleX = maxUV.X - minUV.X;
double scaleY = maxUV.Y - minUV.Y;
scaleX = MathEx.AreCloseEnough(scaleX, 0.0) ? 0.0 : 1.0 / scaleX;
scaleY = MathEx.AreCloseEnough(scaleY, 0.0) ? 0.0 : 1.0 / scaleY;
double offsetX = -minUV.X * scaleX;
double offsetY = -minUV.Y * scaleY;
foreach (Triangle t in frontFaceTriangles)
{
t.vertex1.TextureCoordinates.X = offsetX + (t.vertex1.U * scaleX);
t.vertex1.TextureCoordinates.Y = offsetY + (t.vertex1.V * scaleY);
t.vertex2.TextureCoordinates.X = offsetX + (t.vertex2.U * scaleX);
t.vertex2.TextureCoordinates.Y = offsetY + (t.vertex2.V * scaleY);
t.vertex3.TextureCoordinates.X = offsetX + (t.vertex3.U * scaleX);
t.vertex3.TextureCoordinates.Y = offsetY + (t.vertex3.V * scaleY);
}
foreach (Triangle t in backFaceTriangles)
{
t.vertex1.TextureCoordinates.X = offsetX + (t.vertex1.U * scaleX);
t.vertex1.TextureCoordinates.Y = offsetY + (t.vertex1.V * scaleY);
t.vertex2.TextureCoordinates.X = offsetX + (t.vertex2.U * scaleX);
t.vertex2.TextureCoordinates.Y = offsetY + (t.vertex2.V * scaleY);
t.vertex3.TextureCoordinates.X = offsetX + (t.vertex3.U * scaleX);
t.vertex3.TextureCoordinates.Y = offsetY + (t.vertex3.V * scaleY);
}
}
private static bool DeepEquals(object obj1, object obj2, bool skipUnimportant)
{
if (object.ReferenceEquals(obj1, obj2))
{
// Shortcut- if they are the same object, return true;
return(true);
}
Type type1 = obj1.GetType();
Type type2 = obj2.GetType();
if (type1 != type2)
{
return(false);
}
if (type1 == typeof(string))
{
return(obj1.ToString() == obj2.ToString());
}
bool equals;
TrustedType trustedType = PT.Trust(type1);
TrustedPropertyInfo[] properties = trustedType.GetProperties(BindingFlags.Public | BindingFlags.Instance);
foreach (TrustedPropertyInfo property in properties)
{
if (skipUnimportant)
{
// If we don't care about the property (declared by Freezable or its ancestors), skip it!
if (IsPropertyDeclaredByAncestorsOf(PT.Untrust(property.DeclaringType), typeof(Freezable)) ||
IsPropertyDeclaredByAncestorsOf(PT.Untrust(property.DeclaringType), typeof(FrameworkElement)))
{
continue;
}
}
if (IsPropertyProblematic(property))
{
continue;
}
if (property.Name == "Item")
{
if (obj1 is IEnumerable)
{
equals = DeepEquals((IEnumerable)obj1, (IEnumerable)obj2, skipUnimportant);
}
else
{
// This is an indexer. We can't really compare it.
equals = true;
}
}
else
{
object value1 = property.GetValue(obj1, null);
object value2 = property.GetValue(obj2, null);
if (property.PropertyType.IsValueType)
{
switch (property.PropertyType.Name)
{
case "Double": equals = MathEx.AreCloseEnough((double)value1, (double)value2); break;
case "Point": equals = MathEx.AreCloseEnough((Point)value1, (Point)value2); break;
case "Vector": equals = MathEx.AreCloseEnough((Vector)value1, (Vector)value2); break;
case "Rect": equals = MathEx.AreCloseEnough((Rect)value1, (Rect)value2); break;
case "Matrix": equals = MathEx.AreCloseEnough((Matrix)value1, (Matrix)value2); break;
case "Point3D": equals = MathEx.AreCloseEnough((Point3D)value1, (Point3D)value2); break;
case "Point4D": equals = MathEx.AreCloseEnough((Point4D)value1, (Point4D)value2); break;
case "Quaternion": equals = MathEx.AreCloseEnough((Quaternion)value1, (Quaternion)value2); break;
case "Vector3D": equals = MathEx.AreCloseEnough((Vector3D)value1, (Vector3D)value2); break;
case "Rect3D": equals = MathEx.AreCloseEnough((Rect3D)value1, (Rect3D)value2); break;
case "Matrix3D": equals = MathEx.AreCloseEnough((Matrix3D)value1, (Matrix3D)value2); break;
default: equals = object.Equals(value1, value2); break;
}
}
else
{
equals = DeepEquals(value1, value2, skipUnimportant);
}
}
if (!equals)
{
return(false);
}
}
return(true);
}
/// <summary/>
public static bool IsAffine(Matrix3D m)
{
return(MathEx.AreCloseEnough(m.M14, 0) && MathEx.AreCloseEnough(m.M24, 0) &&
MathEx.AreCloseEnough(m.M34, 0) && MathEx.AreCloseEnough(m.M44, 1));
}
private Side LineSide(Point3D p1, Point3D p2, double x, double y)
{
// If the two points are the same, this is not a line, thus (x,y)
// cannot be on either side of it.
if (MathEx.AreCloseEnough(p1.X, p2.X) && MathEx.AreCloseEnough(p1.Y, p2.Y))
{
return(Side.None);
}
// Account for precision errors along the triangle edges based on
// RenderTolerance.PixelToEdgeTolerance value and exit early if we're too close to call.
double pixelToEdgeTolerance = RenderTolerance.PixelToEdgeTolerance;
//Increase edge tolerance in Vista nonstandard DPI
//We *shouldn't* need this at any other time
//If the ref-renderer is improved to better handle interior edge AA, this can be removed
if (!RenderTolerance.IsSquare96Dpi && Const.IsVistaOrNewer)
{
pixelToEdgeTolerance *= 3;
}
// pixelToEdgeTolerance is only used to generate tolerance map. We can be more precise when we determine
// if a point is inside a triangle. Use a smaller tolerance for this calculation.
//
double triangleEdgeTolerance = Math.Min(pixelToEdgeTolerance, RenderTolerance.DefaultPixelToEdgeTolerance);
double distanceToLine = MathEx.DistanceFromLine2D(new Point3D(x, y, 0), p1, p2);
if (Math.Abs(distanceToLine) < pixelToEdgeTolerance)
{
// We've just been guaranteed that (x,y) is really close to the line passing through
// p1 and p2.
// This means that if (x,y) is within the bounds of the line *segment* (p1 and p2 are endpoints)
// plus tolerance, then (x,y) must be on the line segment (edge).
Rect bounds = new Rect(new Point(p1.X, p1.Y), new Point(p2.X, p2.Y));
if (MathEx.Inflate(bounds, pixelToEdgeTolerance).Contains(new Point(x, y)))
{
pixelOnEdge = true;
}
// We don't know which side we're on because we're too close,
// so report that we're on whichever side the caller wants us to be.
// Any final uncertainty will be decided by the value of "pixelOnEdge."
if (Math.Abs(distanceToLine) < triangleEdgeTolerance)
{
return(Side.Both);
}
}
// Cross product's Z component will be positive if the point is on the left of the line,
// and negative if the point is on the right. Zero if the point is on the line.
double crossProductZ = (p1.X - x) * (p2.Y - y) - (p1.Y - y) * (p2.X - x);
if (MathEx.AreCloseEnough(crossProductZ, 0))
{
// For the case where the triangle edge is right over a pixel center
// and PixelToEdgeTolerance is too small (e.g. 0), we will test a neighboring pixel.
// This case counts as on the edge too
pixelOnEdge = true;
// The pixel that we test is based on D3D's rendering convention
// (this guarantees that we don't render the same edge twice)
if (!MathEx.AreCloseEnough(p1.Y, p2.Y))
{
return(LineSide(p1, p2, x + 1, y));
}
else
{
return(LineSide(p1, p2, x, y + 1));
}
}
else if (crossProductZ < 0)
{
return(Side.Right);
}
else
{
return(Side.Left);
}
}