private static Matrix32d CalcEffectiveTransformToTopWidgetDouble(this Widget widget, Widget untilWidget)
{
// Copy of double-precision code of Widget.RecalcGlobalTransformDouble.
Matrix32d localToParentTransform = widget.CalcLocalToParentTransformDouble();
var parentWidget = widget.Parent?.AsWidget;
if (parentWidget == null || parentWidget == untilWidget)
{
return(localToParentTransform);
}
return(localToParentTransform * parentWidget.CalcEffectiveTransformToTopWidgetDouble(untilWidget));
}
private static Matrix32d CalcLocalToWorldTransformDouble(this Widget widget)
{
// Copy of double-precision code of Widget.RecalcGlobalTransformDouble.
Matrix32d localToParentTransform = widget.CalcLocalToParentTransformDouble();
var parentWidget = widget.Parent?.AsWidget;
if (parentWidget == null)
{
return(localToParentTransform);
}
return(localToParentTransform * parentWidget.CalcLocalToWorldTransformDouble());
}
private static Transform2d ExtractTransform2Double(this Widget widget, Matrix32d localToParentTransform,
double preferedRotationDeg)
{
// Take pivot into account.
localToParentTransform = Matrix32d.Translation(-(Vector2d)(widget.Pivot * widget.Size)).CalcInversed() *
localToParentTransform;
// Take SkinningWeights into account.
if (widget.SkinningWeights != null && widget.Parent?.AsWidget != null)
{
localToParentTransform = localToParentTransform *
((Matrix32d)widget.Parent.AsWidget.BoneArray.CalcWeightedRelativeTransform(widget.SkinningWeights))
.CalcInversed();
}
// Extract simple transformations from matrix.
return(localToParentTransform.ToTransform2Double(preferedRotationDeg, (Vector2d)widget.Scale));
}
private static Matrix32d CalcLocalToParentTransformDouble(this Widget widget)
{
// Copy of double-precision code of Widget.RecalcLocalToParentTransform.
Matrix32d localToParentTransform =
Matrix32d.Translation(-(Vector2d)(widget.Pivot * widget.Size)) *
Matrix32d.Transformation(
Vector2d.Zero,
(Vector2d)widget.Scale,
widget.Rotation * Math.PI / 180.0,
(Vector2d)widget.Position
);
if (widget.SkinningWeights != null && widget.Parent?.AsWidget != null)
{
localToParentTransform = localToParentTransform *
(Matrix32d)widget.Parent.AsWidget.BoneArray.CalcWeightedRelativeTransform(widget.SkinningWeights);
}
return(localToParentTransform);
}
public static void ApplyTransformationToWidgetsGroupObb(Widget sceneWidget, IList <Widget> widgetsInParentSpace,
Vector2?overridePivotInSceneSpace, bool obbInFirstWidgetSpace,
Vector2 currentMousePosInSceneSpace, Vector2 previousMousePosSceneSpace,
bool convertScaleToSize, CalculateTransformationDelegate onCalculateTransformation)
{
if (widgetsInParentSpace.Count == 0)
{
return;
}
Matrix32d fromSceneToParentSpace = widgetsInParentSpace[0].ParentWidget
.CalcEffectiveTransformToTopWidgetDouble(sceneWidget).CalcInversed();
ApplyTransformationToWidgetsGroupObb(
widgetsInParentSpace,
overridePivotInSceneSpace == null
? (Vector2d?)null
: ((Vector2d)overridePivotInSceneSpace.Value * fromSceneToParentSpace),
obbInFirstWidgetSpace,
(Vector2d)currentMousePosInSceneSpace * fromSceneToParentSpace,
(Vector2d)previousMousePosSceneSpace * fromSceneToParentSpace,
convertScaleToSize, onCalculateTransformation);
}
public static void ApplyTransformationToWidgetsGroupObb(IEnumerable <Widget> widgetsInParentSpace,
Matrix32d obbInParentSpace, Vector2d currentMousePosInParentSpace, Vector2d previousMousePosInParentSpace,
bool convertScaleToSize, CalculateTransformationDelegate onCalculateTransformation)
{
if (Math.Abs(obbInParentSpace.CalcDeterminant()) < Mathf.ZeroTolerance)
{
return;
}
Matrix32d transformationFromParentToObb = obbInParentSpace.CalcInversed();
Vector2d controlPointInObbSpace = previousMousePosInParentSpace * transformationFromParentToObb;
Vector2d targetPointInObbSpace = currentMousePosInParentSpace * transformationFromParentToObb;
Vector2d originalVectorInObbSpace = controlPointInObbSpace;
Vector2d deformedVectorInObbSpace = targetPointInObbSpace;
Transform2d obbTransformation = onCalculateTransformation(
originalVectorInObbSpace, deformedVectorInObbSpace
);
ApplyTransformationToWidgetsGroupObb(
widgetsInParentSpace, obbInParentSpace, obbTransformation, convertScaleToSize
);
}
public static void ApplyTransformationToWidgetsGroupObb(IList <Widget> widgetsInParentSpace,
Vector2d?overridePivotInParentSpace, bool obbInFirstWidgetSpace,
Vector2d currentMousePosInParentSpace, Vector2d previousMousePosInParentSpace,
bool convertScaleToSize, CalculateTransformationDelegate onCalculateTransformation)
{
if (widgetsInParentSpace.Count == 0)
{
return;
}
// Importent. Try to correct the pivot point to the closest pivot of one of widgets.
if (overridePivotInParentSpace != null)
{
foreach (Widget widget in widgetsInParentSpace)
{
double length = ((Vector2d)widget.Position - overridePivotInParentSpace.Value).Length;
if (length <= 1e-3)
{
overridePivotInParentSpace = (Vector2d)widget.Position;
break;
}
}
}
Matrix32d originalObbToParentSpace;
if (!obbInFirstWidgetSpace)
{
originalObbToParentSpace =
Matrix32d.Translation(overridePivotInParentSpace ?? (Vector2d)widgetsInParentSpace[0].Position);
}
else
{
Widget widgetFirst = widgetsInParentSpace[0];
WidgetZeroScalePreserver zeroScalePreserver = new WidgetZeroScalePreserver(widgetFirst);
zeroScalePreserver.Store();
// Nullify Pivot and Scale, to simplify transformation matrix from M = mT' * mR * mS * mT, to M = mR * mT,
// to be able to use it with complex transformation by user (U = uT' uR * uS * uT), as
// dM = U * M, instead of we must make dM = mT' * uR * mR * uS * mS * uT * mT,
// and now if mT' = 1 and mS = 1 and uT = 1 it is reduced to dM = uT' * uS * uR * mR * mT = U * M.
Matrix32d firstWidgetToParentSpace;
Vector2 savedPivot = widgetFirst.Pivot;
Vector2 savedScale = widgetFirst.Scale;
widgetFirst.Pivot = Vector2.Zero;
widgetFirst.Scale = Vector2.One;
try {
firstWidgetToParentSpace = widgetFirst.CalcLocalToParentTransformDouble();
if (overridePivotInParentSpace != null)
{
firstWidgetToParentSpace.T = overridePivotInParentSpace.Value;
}
} finally {
widgetFirst.Pivot = savedPivot;
widgetFirst.Scale = savedScale;
zeroScalePreserver.Restore();
}
originalObbToParentSpace = firstWidgetToParentSpace;
}
ApplyTransformationToWidgetsGroupObb(
widgetsInParentSpace, originalObbToParentSpace,
currentMousePosInParentSpace, previousMousePosInParentSpace,
convertScaleToSize, onCalculateTransformation);
}
private static Transform2d ToTransform2Double(this Matrix32d matrix, double preferedRotationDeg,
Vector2d originalScale)
{
// Calculate the required signs of the scale axes, excluding rotation from the deformation matrix.
Matrix32d matrixWithoutRotation = matrix * Matrix32d.Rotation(-preferedRotationDeg * Math.PI / 180.0);
int directionClock = Math.Sign(Vector2d.CrossProduct(matrixWithoutRotation.U, matrixWithoutRotation.V));
Vector2d direction = matrixWithoutRotation.U.Normalized + matrixWithoutRotation.V.Normalized;
Vector2d directionU = direction * Matrix32d.Rotation(-directionClock * Math.PI / 4);
Vector2d directionV = direction * Matrix32d.Rotation(directionClock * Math.PI / 4);
bool isRequiredScaleXNegative = directionU.X < 0;
bool isRequiredScaleYNegative = directionV.Y < 0;
var vSign = Math.Sign(Vector2d.CrossProduct(matrix.U, matrix.V));
Vector2d originalScaleAbs = new Vector2d(Math.Abs(originalScale.X), Math.Abs(originalScale.Y));
Vector2d useMatrixU = isRequiredScaleXNegative ? -matrix.U : matrix.U;
Vector2d useMatrixV = isRequiredScaleXNegative ? -matrix.V : matrix.V;
int useMatrixUSign = isRequiredScaleXNegative ? -1 : 1;
int useMatrixVSign = isRequiredScaleXNegative ? -1 : 1;
double rotation;
if (Math.Abs(Vector2d.DotProduct(useMatrixU, useMatrixV)) < FloatSignificantDelta)
{
rotation = useMatrixU.Atan2Deg;
}
else
{
// Calculate the correct rotation, for deformed not-perpendicular UV axes.
// Naive realisation as atg(U.X/V.X) or atg(V.Y/U.Y).
// To keep an original widget rotation.
if (Math.Abs(useMatrixU.X) + Math.Abs(useMatrixV.X) > Math.Abs(useMatrixU.Y) + Math.Abs(useMatrixV.Y))
{
if (originalScaleAbs.X > originalScaleAbs.Y)
{
rotation = new Vector2d(useMatrixU.X * originalScaleAbs.Y / originalScaleAbs.X, -useMatrixV.X * vSign).Atan2Deg;
}
else
{
rotation = new Vector2d(useMatrixU.X, -useMatrixV.X * vSign * originalScaleAbs.X / originalScaleAbs.Y).Atan2Deg;
}
}
else
{
if (originalScaleAbs.Y > originalScaleAbs.X)
{
rotation = new Vector2d(useMatrixV.Y * vSign * originalScaleAbs.X / originalScaleAbs.Y, useMatrixU.Y).Atan2Deg;
}
else
{
rotation = new Vector2d(useMatrixV.Y * vSign, useMatrixU.Y * originalScaleAbs.Y / originalScaleAbs.X).Atan2Deg;
}
}
}
return(new Transform2d {
Translation = matrix.T,
Scale = new Vector2d(useMatrixUSign * useMatrixU.Length, useMatrixVSign * useMatrixV.Length * vSign),
Rotation = rotation
});
}
public static void ApplyTransformationToWidgetsGroupObb(IEnumerable <Widget> widgetsInParentSpace,
Matrix32d obbInParentSpace, Transform2d obbTransformation, bool convertScaleToSize)
{
Matrix32d originalObbToParentSpace = obbInParentSpace;
if (Math.Abs(originalObbToParentSpace.CalcDeterminant()) < Mathf.ZeroTolerance)
{
return;
}
Matrix32d obbTransformationMatrix = obbTransformation.ToMatrix32();
foreach (Widget widget in widgetsInParentSpace)
{
WidgetZeroScalePreserver zeroScalePreserver = new WidgetZeroScalePreserver(widget);
zeroScalePreserver.Store();
try {
Matrix32d widgetToParentSpace = widget.CalcLocalToParentTransformDouble();
Matrix32d widgetToOriginalObbSpace = widgetToParentSpace * originalObbToParentSpace.CalcInversed();
// Calculate the new obb transformation in the parent space.
Matrix32d deformedObbToParentSpace = obbTransformationMatrix * originalObbToParentSpace;
Matrix32d deformedWidgetToParentSpace = widgetToOriginalObbSpace * deformedObbToParentSpace;
Transform2d widgetResultTransform = widget.ExtractTransform2Double(deformedWidgetToParentSpace,
widget.Rotation + obbTransformation.Rotation);
// Correct a rotation delta, to prevent wrong values if a new angle 0 and previous is 359,
// then rotationDelta must be 1.
double rotationDelta = Mathd.Wrap180(widgetResultTransform.Rotation - widget.Rotation);
// Reduce an influence of small transformations (Scale, Position, Rotation).
bool needChangeScaleX = IsSignificantChangeOfValue(widget.Scale.X, widgetResultTransform.Scale.X);
bool needChangeScaleY = IsSignificantChangeOfValue(widget.Scale.Y, widgetResultTransform.Scale.Y);
if (needChangeScaleX || needChangeScaleY)
{
Vector2 useScale = new Vector2(
(float)(!needChangeScaleX ? widget.Scale.X : widgetResultTransform.Scale.X),
(float)(!needChangeScaleY ? widget.Scale.Y : widgetResultTransform.Scale.Y)
);
useScale = zeroScalePreserver.AdjustToScale(useScale);
zeroScalePreserver.Restore();
if (!convertScaleToSize)
{
SetAnimableProperty.Perform(widget, nameof(Widget.Scale), useScale,
CoreUserPreferences.Instance.AutoKeyframes);
}
else
{
Vector2 useSize = new Vector2(
Math.Abs(widget.Scale.X) < FloatSignificantDelta
? widget.Size.X
: widget.Size.X * Math.Abs(useScale.X / widget.Scale.X),
Math.Abs(widget.Scale.Y) < FloatSignificantDelta
? widget.Size.Y
: widget.Size.Y * Math.Abs(useScale.Y / widget.Scale.Y)
);
SetAnimableProperty.Perform(widget, nameof(Widget.Size), useSize,
CoreUserPreferences.Instance.AutoKeyframes);
}
}
bool needChangePositionX = IsSignificantChangeOfValue(widget.Position.X, widgetResultTransform.Translation.X);
bool needChangePositionY = IsSignificantChangeOfValue(widget.Position.Y, widgetResultTransform.Translation.Y);
if (needChangePositionX || needChangePositionY)
{
SetAnimableProperty.Perform(widget, nameof(Widget.Position),
new Vector2(
(float)(!needChangePositionX ? widget.Position.X : widgetResultTransform.Translation.X),
(float)(!needChangePositionY ? widget.Position.Y : widgetResultTransform.Translation.Y)
),
CoreUserPreferences.Instance.AutoKeyframes);
}
if (IsSignificantChangeByDelta(widget.Rotation, rotationDelta))
{
SetAnimableProperty.Perform(widget, nameof(Widget.Rotation), (float)(widget.Rotation + rotationDelta),
CoreUserPreferences.Instance.AutoKeyframes);
}
} finally {
zeroScalePreserver.Restore();
}
}
}