protected override void OnRenderFrame(FrameEventArgs e)
{
base.OnRenderFrame(e);
_shader.Use();
GL.Clear(ClearBufferMask.ColorBufferBit | ClearBufferMask.DepthBufferBit);
SetupCamera();
// _cube.Draw();
var points = new[] { new Vector2(0, 0), new Vector2(1, 2), new Vector2(-1, 1) };
var aBezierCurve = new BezierCurve(points);
GL.LineWidth(4.0f);
CatmullRomSpline a = new CatmullRomSpline();
a.AddPoint(new Vector3(-1, -1, 0));
a.AddPoint(new Vector3(1, 1, 0));
a.AddPoint(new Vector3(1, -1, 0));
a.AddPoint(new Vector3(-1, 1, 0));
a.AddPoint(new Vector3(-1, -1, 0));
Vector3 vec = a.GetValue((float)_time / 10);
GL.Translate(vec);
_cube.Draw();
SwapBuffers();
}
/// <summary>
/// Calculates the point on the given bezier curve with the specified t parameter.
/// </summary>
/// <param name="points">The points.</param>
/// <param name="t">The t parameter, a value between 0.0f and 1.0f.</param>
/// <returns>Resulting point.</returns>
public static Vector2 CalculatePoint(IList <Vector2> points, float t)
{
return(BezierCurve.CalculatePoint(points, t, 0.0f));
}
/// <summary>
/// Calculates the length of the specified bezier curve.
/// </summary>
/// <param name="points">The points.</param>
/// <param name="precision">The precision value.</param>
/// <returns>The precision gets better as the <paramref name="precision"/>
/// value gets smaller.</returns>
public static float CalculateLength(IList <Vector2> points, float precision)
{
return(BezierCurve.CalculateLength(points, precision, 0.0f));
}
/// <summary>
/// Calculates the length of this bezier curve.
/// </summary>
/// <param name="precision">The precision.</param>
/// <returns>Length of curve.</returns>
/// <remarks>The precision gets better as the <paramref name="precision"/>
/// value gets smaller.</remarks>
public float CalculateLength(float precision)
{
return(BezierCurve.CalculateLength(points, precision, Parallel));
}
/// <summary>
/// Calculates the point with the specified t.
/// </summary>
/// <param name="t">The t value, between 0.0f and 1.0f.</param>
/// <returns>Resulting point.</returns>
public Vector2 CalculatePoint(float t)
{
return(BezierCurve.CalculatePoint(points, t, Parallel));
}
public float CalculateLength(float precision)
{
return(BezierCurve.CalculateLength((IList <Vector2>) this.points, precision, this.Parallel));
}
public Vector2 CalculatePoint(float t)
{
return(BezierCurve.CalculatePoint((IList <Vector2>) this.points, t, this.Parallel));
}
public static Vector2 CalculatePoint(IList <Vector2> points, float t, float parallel)
{
Vector2 vector2_1 = new Vector2();
double x = 1.0 - (double)t;
int k = 0;
foreach (Vector2 vector2_2 in (IEnumerable <Vector2>)points)
{
float num = (float)MathHelper.BinomialCoefficient(points.Count - 1, k) * (float)(Math.Pow((double)t, (double)k) * Math.Pow(x, (double)(points.Count - 1 - k)));
vector2_1.X += num * vector2_2.X;
vector2_1.Y += num * vector2_2.Y;
++k;
}
if ((double)parallel == 0.0)
{
return(vector2_1);
}
Vector2 vector2_3 = new Vector2();
Vector2 vec = (double)t == 0.0 ? points[1] - points[0] : vector2_1 - BezierCurve.CalculatePointOfDerivative(points, t);
return(vector2_1 + Vector2.Normalize(vec).PerpendicularRight *parallel);
}
/// <summary>
/// Constructs a new OpenTK.BezierCurve.
/// </summary>
/// <param name="points">The points.</param>
public Bezier( IEnumerable<Vector2> points, int resolution )
: base(points, resolution)
{
m_curve = new BezierCurve( m_points );
// resolution is not used here
}
/// <summary>
/// Tessellates the path.
/// </summary>
/// <param name="path">The path.</param>
public void TessellatePath(PathGeometry path)
{
_vertexList.Clear();
_tesselator.EmptyCache();
_tesselator.BeginPolygon();
switch(path.FillRule)
{
case FillRule.EvenOdd:
_tesselator.WindingRule = Tesselator.Tesselator.WindingRuleType.Odd;
break;
case FillRule.Nonzero:
_tesselator.WindingRule = Tesselator.Tesselator.WindingRuleType.NonZero;
break;
default:
throw new ArgumentOutOfRangeException();
}
foreach (var figure in path.Figures)
{
_tesselator.BeginContour();
foreach (var seg in figure.Segments)
{
if (seg is PolyLineSegment)
{
var polyline = seg as PolyLineSegment;
polyline.Points.ForEach(AddPoint);
}
else if (seg is LineSegment)
{
AddPoint((seg as LineSegment).Point);
}
else if (seg is PolyBezierSegment)
{
var polybezier = (PolyBezierSegment) seg;
var bezierCurve = new BezierCurve(polybezier.Points.Select(p => new Vector2((float) p.X, (float) p.Y)));
Enumerable
.Range(1, 10)
.Select(i => bezierCurve.CalculatePoint(1.0f/i))
.ForEach(p => AddPoint(new Point(p.X, p.Y)));
}
else if (seg is BezierSegment)
{
var polybezier = (BezierSegment)seg;
var bezierCurve = new BezierCurveCubic(
LastPoint(),
new Vector2((float) polybezier.Point3.X, (float) polybezier.Point3.Y),
new Vector2((float) polybezier.Point1.X, (float) polybezier.Point1.Y),
new Vector2((float) polybezier.Point2.X, (float) polybezier.Point2.Y)
);
Enumerable
.Range(1, 10)
.Select(i => bezierCurve.CalculatePoint(1.0f / i))
.ForEach(p => AddPoint(new Point(p.X, p.Y)));
}
else
{
throw new ApplicationException(string.Format("segment type {0} not supported.", seg));
}
}
_tesselator.EndContour();
}
_tesselator.EndPolygon();
}