public void GetLength()
        {
            CatmullRomSegment3F c = new CatmullRomSegment3F
            {
                Point1 = new Vector3(1, 2, 3),
                Point2 = new Vector3(10, 3, 6),
                Point3 = new Vector3(7, 8, 19),
                Point4 = new Vector3(10, 2, 12),
            };

            HermiteSegment3F h = new HermiteSegment3F
            {
                Point1   = c.Point2,
                Tangent1 = (c.Point3 - c.Point1) * 0.5f,
                Tangent2 = (c.Point4 - c.Point2) * 0.5f,
                Point2   = c.Point3,
            };

            float length1 = c.GetLength(0, 1, 20, Numeric.EpsilonF);
            float length2 = h.GetLength(0, 1, 20, Numeric.EpsilonF);

            Assert.IsTrue(Numeric.AreEqual(length1, length2));

            float       approxLength = 0;
            const float step         = 0.0001f;

            for (float u = 0; u <= 1.0f; u += step)
            {
                approxLength += (c.GetPoint(u) - c.GetPoint(u + step)).Length;
            }

            Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
            Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + c.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
            Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(1, 0, 100, Numeric.EpsilonF)));
        }
Beispiel #2
0
        public void GetLength()
        {
            Path3F empty = new Path3F();
              empty.Sort();
              Assert.AreEqual(0, empty.GetLength(0, 1, 100, 0.0001f));

              Path3F path = CreatePath();
              path.PreLoop = CurveLoopType.Constant;
              path.PostLoop = CurveLoopType.Oscillate;
              Assert.IsTrue(Numeric.AreEqual((new Vector3F(0, 0, 1) - new Vector3F(1, 2, 3)).Length, path.GetLength(-1, 12, 100, 0.0001f), 0.001f));
              Assert.IsTrue(Numeric.AreEqual((new Vector3F(0, 0, 1) - new Vector3F(1, 2, 3)).Length, path.GetLength(-1, 20, 100, 0.0001f), 0.001f));

              CatmullRomSegment3F catmullOscillate = new CatmullRomSegment3F()
              {
            Point1 = new Vector3F(10, 12, 14),
            Point2 = new Vector3F(10, 14, 8),
            Point3 = new Vector3F(20, 14, 8),
            Point4 = new Vector3F(30, 14, 8),
              };
              float desiredLength = catmullOscillate.GetLength(0, 1, 20, 0.0001f);
              float actualLength = path.GetLength(40, 50, 20, 0.0001f);
              Assert.IsTrue(Numeric.AreEqual(desiredLength, actualLength, 0.001f));
              desiredLength = catmullOscillate.GetLength(1, 0.8f, 20, 0.0001f);
              actualLength = path.GetLength(52, 50, 20, 0.0001f);
              Assert.IsTrue(Numeric.AreEqual(desiredLength, actualLength, 0.001f));
              desiredLength = catmullOscillate.GetLength(1, 0.8f, 20, 0.0001f) * 2;
              actualLength = path.GetLength(52, 48, 20, 0.0001f);
              Assert.IsTrue(Numeric.AreEqual(desiredLength, actualLength, 0.001f));

              path.PreLoop = CurveLoopType.Linear;
              path.PostLoop = CurveLoopType.Cycle;

              path.PreLoop = CurveLoopType.Cycle;
              path.PostLoop = CurveLoopType.CycleOffset;

              path.PreLoop = CurveLoopType.CycleOffset;
              path.PostLoop = CurveLoopType.Linear;

              path.PreLoop = CurveLoopType.Oscillate;
              path.PostLoop = CurveLoopType.Constant;
        }
        public void GetLength()
        {
            CatmullRomSegment3F c = new CatmullRomSegment3F
              {
            Point1 = new Vector3F(1, 2, 3),
            Point2 = new Vector3F(10, 3, 6),
            Point3 = new Vector3F(7, 8, 19),
            Point4 = new Vector3F(10, 2, 12),
              };

              HermiteSegment3F h = new HermiteSegment3F
              {
            Point1 = c.Point2,
            Tangent1 = (c.Point3 - c.Point1) * 0.5f,
            Tangent2 = (c.Point4 - c.Point2) * 0.5f,
            Point2 = c.Point3,
              };

              float length1 = c.GetLength(0, 1, 20, Numeric.EpsilonF);
              float length2 = h.GetLength(0, 1, 20, Numeric.EpsilonF);
              Assert.IsTrue(Numeric.AreEqual(length1, length2));

              float approxLength = 0;
              const float step = 0.0001f;
              for (float u = 0; u <= 1.0f; u += step)
            approxLength += (c.GetPoint(u) - c.GetPoint(u + step)).Length;

              Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
              Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + c.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
              Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(1, 0, 100, Numeric.EpsilonF)));
        }
 public void Flatten()
 {
     var s = new CatmullRomSegment3F
       {
     Point1 = new Vector3F(1, 2, 3),
     Point2 = new Vector3F(10, 3, 6),
     Point3 = new Vector3F(7, 8, 19),
     Point4 = new Vector3F(10, 2, 12),
       };
       var points = new List<Vector3F>();
       var tolerance = 0.01f;
       s.Flatten(points, 10, tolerance);
       Assert.IsTrue(points.Contains(s.Point2));
       Assert.IsTrue(points.Contains(s.Point3));
       var curveLength = s.GetLength(0, 1, 10, tolerance);
       Assert.IsTrue(CurveHelper.GetLength(points) >= curveLength - tolerance * points.Count / 2);
       Assert.IsTrue(CurveHelper.GetLength(points) <= curveLength);
 }
        public void Flatten()
        {
            var s = new CatmullRomSegment3F
            {
                Point1 = new Vector3(1, 2, 3),
                Point2 = new Vector3(10, 3, 6),
                Point3 = new Vector3(7, 8, 19),
                Point4 = new Vector3(10, 2, 12),
            };
            var points    = new List <Vector3>();
            var tolerance = 0.01f;

            s.Flatten(points, 10, tolerance);
            Assert.IsTrue(points.Contains(s.Point2));
            Assert.IsTrue(points.Contains(s.Point3));
            var curveLength = s.GetLength(0, 1, 10, tolerance);

            Assert.IsTrue(CurveHelper.GetLength(points) >= curveLength - tolerance * points.Count / 2);
            Assert.IsTrue(CurveHelper.GetLength(points) <= curveLength);
        }