Ejemplo n.º 1
0
        private double[] ComputeParameterization(List <Point> points)
        {
            double[] numArray = new double[points.Count];
            numArray[0] = 0.0;
            for (int index = 1; index < points.Count; ++index)
            {
                numArray[index] = numArray[index - 1] + VectorUtilities.Distance(points[index - 1], points[index]);
            }
            double num = numArray[numArray.Length - 1];

            for (int index = 0; index < numArray.Length; ++index)
            {
                numArray[index] /= num;
            }
            return(numArray);
        }
Ejemplo n.º 2
0
        public static double[] GetCumulatedChordLength(List <Point> points, int firstIndex, int lastIndex)
        {
            if (firstIndex > lastIndex || firstIndex < 0 || (lastIndex < 0 || firstIndex >= points.Count) || lastIndex >= points.Count)
            {
                throw new ArgumentException("The specified indices are invalid.");
            }
            double[] numArray = new double[lastIndex - firstIndex + 1];
            double   num      = 0.0;

            numArray[0] = num;
            int index1 = firstIndex + 1;
            int index2 = 1;

            while (index1 <= lastIndex)
            {
                num += VectorUtilities.Distance(points[index1 - 1], points[index1]);
                numArray[index2] = num;
                ++index1;
                ++index2;
            }
            return(numArray);
        }
Ejemplo n.º 3
0
        public PathGeometry OpenFit(List <Point> input, bool inputMayContainRepeats, double cornerThreshold, double distanceTolerance, bool onlyCubics, bool enforceStartTangent, Vector startTangent, bool enforceEndTangent, Vector endTangent)
        {
            if (cornerThreshold <= 0.0 || cornerThreshold >= Math.PI)
            {
                throw new ArgumentOutOfRangeException("cornerThreshold", (object)cornerThreshold, "Corner threshold must be strictly between zero and Pi.");
            }
            if (distanceTolerance <= 0.0)
            {
                throw new ArgumentOutOfRangeException("distanceTolerance", (object)distanceTolerance, "Distance tolerance must be strictly greater than zero.");
            }
            this.enforceStartTangent = enforceStartTangent;
            this.enforceEndTangent   = enforceEndTangent;
            if (this.enforceStartTangent && startTangent.LengthSquared < FloatingPointArithmetic.SquaredDistanceTolerance && (this.enforceEndTangent && endTangent.LengthSquared < FloatingPointArithmetic.SquaredDistanceTolerance))
            {
                throw new ArgumentException(ExceptionStringTable.CannotEnforceZeroLengthTangents);
            }
            if (this.enforceEndTangent)
            {
                endTangent.Normalize();
                this.endTangent = endTangent;
            }
            if (this.enforceStartTangent)
            {
                startTangent.Normalize();
                this.startTangent = startTangent;
            }
            this.sample = input;
            if (inputMayContainRepeats && input.Count > 1)
            {
                this.sample = new List <Point>(input.Count);
                this.sample.Add(input[0]);
                for (int index = 1; index < input.Count; ++index)
                {
                    if (!VectorUtilities.ArePathPointsVeryClose(input[index], input[index - 1]))
                    {
                        this.sample.Add(input[index]);
                    }
                }
            }
            PathGeometry       path = new PathGeometry();
            PathGeometryEditor pathGeometryEditor = new PathGeometryEditor(path);

            if (this.sample.Count > 0)
            {
                pathGeometryEditor.StartFigure(this.sample[0]);
                this.figure = path.Figures[0];
            }
            PathFigureEditor pathFigureEditor = new PathFigureEditor(this.figure);

            if (this.sample.Count == 2)
            {
                if (VectorUtilities.Distance(this.sample[0], this.sample[1]) >= distanceTolerance)
                {
                    if (onlyCubics)
                    {
                        pathFigureEditor.LinearCubicCurveTo(this.sample[1]);
                    }
                    else
                    {
                        pathFigureEditor.LineTo(this.sample[1]);
                    }
                }
            }
            else if (this.sample.Count > 2)
            {
                int lastIndex = this.sample.Count - 1;
                this.chordLength       = VectorUtilities.GetCumulatedChordLength(this.sample, 0, lastIndex);
                this.distanceTolerance = distanceTolerance;
                double cosThreshold = Math.Cos(cornerThreshold);
                int    num          = 0;
                int    index        = 1;
                while (true)
                {
                    while (index >= lastIndex || this.IsSamplePointACorner(index, cosThreshold))
                    {
                        if (index == num + 1)
                        {
                            if (onlyCubics)
                            {
                                pathFigureEditor.LinearCubicCurveTo(this.sample[index]);
                            }
                            else
                            {
                                pathFigureEditor.LineTo(this.sample[index]);
                            }
                        }
                        else
                        {
                            this.OpenFit2DFromTo(num, this.GetUnitTangentVectorFirst(num), index, this.GetUnitTangentVectorLast(index), onlyCubics);
                        }
                        num = index;
                        ++index;
                        if (num >= lastIndex)
                        {
                            goto label_33;
                        }
                    }
                    ++index;
                }
            }
label_33:
            return(path);
        }
Ejemplo n.º 4
0
        private void OpenFit2DFromTo(int first, Vector unitTangentFirst, int last, Vector unitTangentLast, bool onlyCubics)
        {
            int length = last - first + 1;
            int num1   = length - 1;
            PathFigureEditor pathFigureEditor = new PathFigureEditor(this.figure);

            if (length == 2)
            {
                if (onlyCubics)
                {
                    double num2 = VectorUtilities.Distance(this.sample[first], this.sample[last]) / 3.0;
                    Point  p1   = this.sample[first] + unitTangentFirst * num2;
                    Point  p2   = this.sample[last] - unitTangentLast * num2;
                    pathFigureEditor.CubicCurveTo(p1, p2, this.sample[last]);
                }
                else
                {
                    pathFigureEditor.LineTo(this.sample[last]);
                }
            }
            else if (length == 3)
            {
                int    index1  = first + 1;
                Vector vector1 = this.sample[first] - this.sample[index1];
                Vector vector2 = this.sample[last] - this.sample[index1];
                Vector vector3 = vector1;
                vector3.Normalize();
                Vector vector4 = vector2;
                vector4.Normalize();
                Vector vector5 = vector3 + vector4;
                Vector vector6;
                if (VectorUtilities.IsZero(vector5))
                {
                    vector6 = this.sample[last] - this.sample[first];
                    vector6.Normalize();
                }
                else
                {
                    vector6 = VectorUtilities.UnitNormal(vector5);
                }
                if (VectorUtilities.Dot(vector6, this.sample[last] - this.sample[first]) < 0.0)
                {
                    vector6 *= -1.0;
                }
                this.OpenFit2DFromTo(first, unitTangentFirst, index1, vector6, onlyCubics);
                int index2 = PathFigureUtilities.PointCount(this.figure) - 1;
                this.OpenFit2DFromTo(index1, vector6, last, unitTangentLast, onlyCubics);
                this.SetupCollinearHandlesConstraint(index2, onlyCubics);
            }
            else
            {
                double[][] numArray1 = new double[length][];
                for (int index = 0; index < length; ++index)
                {
                    numArray1[index] = new double[4];
                }
                double   num2      = 1.0 / (this.chordLength[last] - this.chordLength[first]);
                double[] numArray2 = new double[length];
                for (int index = 0; index <= num1; ++index)
                {
                    numArray2[index] = (this.chordLength[first + index] - this.chordLength[first]) * num2;
                }
                double[] numArray3 = new double[4];
                numArray3[0] = 1.0;
                for (int index1 = 0; index1 <= num1; ++index1)
                {
                    numArray3[1] = 1.0 - numArray2[index1];
                    for (int index2 = 2; index2 <= 3; ++index2)
                    {
                        numArray3[index2] = numArray3[index2 - 1] * numArray3[1];
                    }
                    numArray1[index1][0] = numArray3[3];
                    double num3   = numArray2[index1];
                    int    index3 = 1;
                    while (index3 <= 3)
                    {
                        numArray1[index1][index3] = (double)BezierCurveFitter.pascalTriangle[3][index3] * num3 * numArray3[3 - index3];
                        ++index3;
                        num3 *= numArray2[index1];
                    }
                }
                double[][] numArray4 = new double[4][];
                for (int index = 0; index < 4; ++index)
                {
                    numArray4[index] = new double[4];
                }
                for (int index1 = 0; index1 <= 3; ++index1)
                {
                    for (int index2 = 0; index2 <= index1; ++index2)
                    {
                        for (int index3 = 0; index3 <= num1; ++index3)
                        {
                            numArray4[index1][index2] += numArray1[index3][index2] * numArray1[index3][index1];
                        }
                        if (index1 != index2)
                        {
                            numArray4[index2][index1] = numArray4[index1][index2];
                        }
                    }
                }
                double[][] m = new double[2][]
                {
                    new double[2]
                    {
                        numArray4[1][1],
                        numArray4[1][2] * VectorUtilities.Dot(unitTangentFirst, unitTangentLast)
                    },
                    new double[2]
                    {
                        numArray4[1][2],
                        numArray4[2][2]
                    }
                };
                double[] v           = new double[2];
                Vector[] vectorArray = new Vector[4];
                for (int index1 = 0; index1 < 4; ++index1)
                {
                    for (int index2 = 0; index2 <= num1; ++index2)
                    {
                        vectorArray[index1].X += numArray1[index2][index1] * this.sample[index2 + first].X;
                        vectorArray[index1].Y += numArray1[index2][index1] * this.sample[index2 + first].Y;
                    }
                }
                Vector vector1 = new Vector(this.sample[first].X, this.sample[first].Y);
                Vector vector2 = new Vector(this.sample[last].X, this.sample[last].Y);
                Vector b1      = (numArray4[1][0] + numArray4[1][1]) * vector1 + (numArray4[1][2] + numArray4[1][3]) * vector2 - vectorArray[1];
                v[0] = -VectorUtilities.Dot(unitTangentFirst, b1);
                Vector b2 = (numArray4[2][0] + numArray4[2][1]) * vector1 + (numArray4[2][2] + numArray4[2][3]) * vector2 - vectorArray[2];
                v[1] = -VectorUtilities.Dot(unitTangentLast, b2);
                bool flag = BezierCurveFitter.Solve2By2LinearSystem(m, v);
                int  firstBadVertexInQ = 0;
                if (flag && v[0] > 0.0 && v[1] < 0.0)
                {
                    Point[] controlPoints = new Point[4];
                    controlPoints[0] = this.sample[first];
                    controlPoints[1] = controlPoints[0] + v[0] * unitTangentFirst;
                    controlPoints[3] = this.sample[last];
                    controlPoints[2] = controlPoints[3] + v[1] * unitTangentLast;
                    List <Point> list = new List <Point>(128);
                    BezierCurveFlattener.FlattenCubic(controlPoints, this.distanceTolerance, list, false);
                    double[] cumulatedChordLength = VectorUtilities.GetCumulatedChordLength(list, 0, list.Count - 1);
                    if (VectorUtilities.ArePolylinesClose(list, cumulatedChordLength, 0, list.Count - 1, this.sample, this.chordLength, first, last, this.distanceTolerance, ref firstBadVertexInQ))
                    {
                        pathFigureEditor.CubicCurveTo(controlPoints[1], controlPoints[2], controlPoints[3]);
                        return;
                    }
                }
                int    num4 = (first + last) / 2;
                Vector tangentVectorAtSplit = this.GetUnitTangentVectorAtSplit(num4);
                this.OpenFit2DFromTo(first, unitTangentFirst, num4, tangentVectorAtSplit, onlyCubics);
                int index4 = PathFigureUtilities.PointCount(this.figure) - 1;
                this.OpenFit2DFromTo(num4, tangentVectorAtSplit, last, unitTangentLast, onlyCubics);
                this.SetupCollinearHandlesConstraint(index4, onlyCubics);
            }
        }
Ejemplo n.º 5
0
        private static void DoCubicForwardDifferencing(Point[] controlPoints, double leftParameter, double rightParameter, double inverseErrorTolerance, List <Point> resultPolyline, List <double> resultParameters)
        {
            double num1   = controlPoints[1].X - controlPoints[0].X;
            double num2   = controlPoints[1].Y - controlPoints[0].Y;
            double num3   = controlPoints[2].X - controlPoints[1].X;
            double num4   = controlPoints[2].Y - controlPoints[1].Y;
            double num5   = controlPoints[3].X - controlPoints[2].X;
            double num6   = controlPoints[3].Y - controlPoints[2].Y;
            double num7   = num3 - num1;
            double num8   = num4 - num2;
            double num9   = num5 - num3;
            double num10  = num6 - num4;
            double num11  = num9 - num7;
            double num12  = num10 - num8;
            Vector vector = controlPoints[3] - controlPoints[0];
            double length = vector.Length;
            double num13  = length < FloatingPointArithmetic.DistanceTolerance ? Math.Max(0.0, Math.Max(VectorUtilities.Distance(controlPoints[1], controlPoints[0]), VectorUtilities.Distance(controlPoints[2], controlPoints[0]))) : Math.Max(0.0, Math.Max(Math.Abs((num7 * vector.Y - num8 * vector.X) / length), Math.Abs((num9 * vector.Y - num10 * vector.X) / length)));
            uint   num14  = 0U;

            if (num13 > 0.0)
            {
                double d = num13 * inverseErrorTolerance;
                num14 = d < (double)int.MaxValue ? BezierCurveFlattener.Log4UnsignedInt32((uint)(d + 0.5)) : BezierCurveFlattener.Log4Double(d);
            }
            int    exp1  = -(int)num14;
            int    exp2  = exp1 + exp1;
            int    exp3  = exp2 + exp1;
            double num15 = FloatingPointArithmetic.DoubleFromMantissaAndExponent(3.0 * num7, exp2);
            double num16 = FloatingPointArithmetic.DoubleFromMantissaAndExponent(3.0 * num8, exp2);
            double num17 = FloatingPointArithmetic.DoubleFromMantissaAndExponent(6.0 * num11, exp3);
            double num18 = FloatingPointArithmetic.DoubleFromMantissaAndExponent(6.0 * num12, exp3);
            double num19 = FloatingPointArithmetic.DoubleFromMantissaAndExponent(3.0 * num1, exp1) + num15 + 1.0 / 6.0 * num17;
            double num20 = FloatingPointArithmetic.DoubleFromMantissaAndExponent(3.0 * num2, exp1) + num16 + 1.0 / 6.0 * num18;
            double num21 = 2.0 * num15 + num17;
            double num22 = 2.0 * num16 + num18;
            double x     = controlPoints[0].X;
            double y     = controlPoints[0].Y;
            Point  point = new Point(0.0, 0.0);
            int    num23 = 1 << (int)num14;
            double num24 = num23 > 0 ? (rightParameter - leftParameter) / (double)num23 : 0.0;
            double num25 = leftParameter;

            for (int index = 1; index < num23; ++index)
            {
                x      += num19;
                y      += num20;
                point.X = x;
                point.Y = y;
                resultPolyline.Add(point);
                num25 += num24;
                resultParameters.Add(num25);
                num19 += num21;
                num20 += num22;
                num21 += num17;
                num22 += num18;
            }
        }