private static double CalculateAngleForAxisLieingInCanvas(
Position3D bodyTouchPosition,
double startX,
double startY,
Axis3D endMoveRay,
Axis3D cylinderAxis,
double canvasWidth,
double canvasHeight,
Camera camera
)
{
var angle = 0.0;
var cameraDirection = camera.Frame.Ey;
var direction = (cameraDirection & cylinderAxis.Direction).Normalize() * 10000.0;
var offset = ViewProjection.ProjectCanvasToSceneSystem(startX, startY, canvasWidth, canvasHeight, camera.NearPlane, camera.Frame);
var p1 = offset - direction;
var p2 = offset + direction;
var projectedAxis = new Axis3D(p1, p2 - p1);
var(success, plump) = projectedAxis.CalculatePerpendicularPoint(endMoveRay);
if (success)
{
// Ermitteln des Vorzeichens für Drehung
var sign = (plump - p1).Length < (plump - p2).Length ? -1.0 : 1.0;
// Ermitteln der Länge der Mausbewegung in Richtung senkrecht zur Rotationsachse
var(endX, endY) = ViewProjection.ProjectSceneSystemToCanvas(plump, canvasWidth, canvasHeight, camera.NearPlane, camera.Frame);
double delta = Vector2DMath.Length(startX, startY, endX, endY);
// Projektion Berührungspunkt auf Rotationsachse.
// Ermittel Scheitelpunkte der Rotation auf Achse senkrecht zur Kamera und Rotationsachse.
// Projektion der Scheitelpunkte auf Canvas.
// Abstand Scheitelpunkte auf Achse ist die Mausbewegung für 180°.
// Winkel ist Verhältnis Länge Mausbewegung zur Länge für 180°.
var plumpPoint = cylinderAxis.CalculatePerpendicularPoint(bodyTouchPosition);
var distance = (bodyTouchPosition - plumpPoint).Length;
direction = direction.Normalize() * distance;
var startPosition = cylinderAxis.Offset - direction;
var endPosition = cylinderAxis.Offset + direction;
(startX, startY) = ViewProjection.ProjectSceneSystemToCanvas(startPosition, canvasWidth, canvasHeight, camera.NearPlane, camera.Frame);
(endX, endY) = ViewProjection.ProjectSceneSystemToCanvas(endPosition, canvasWidth, canvasHeight, camera.NearPlane, camera.Frame);
var lengthOfHalfRotation = Vector2DMath.Length(startX, startY, endX, endY);
var angleInDegree = 180.0 * delta / lengthOfHalfRotation;
angle = sign * angleInDegree.DegToRad();
}
return(angle);
}
private static double CalculateAngle(
double startX,
double startY,
double endX,
double endY,
double canvasWidth,
double canvasHeight)
{
var min = Math.Min(canvasWidth, canvasHeight);
var delta = Vector2DMath.Length(startX, startY, endX, endY);
var angle = (360.0 * delta / min).DegToRad();
return(angle);
}
public void Test1()
{
Assert.Equal(10, Vector2DMath.Length(0, 0, 10, 0));
}
public void Test3()
{
Assert.Equal(2, Vector2DMath.Length(Math.Sqrt(2), Math.Sqrt(2), 2 * Math.Sqrt(2), 2 * Math.Sqrt(2)), 4);
}
