ProceduralShapeGenerators.cs

/*
-----------------------------------------------------------------------------
This source file is part of mogre-procedural
For the latest info, see http://code.google.com/p/mogre-procedural/
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this is overwrite  ogre-procedural c++ project using c#, look  ogre-procedural c++ source http://code.google.com/p/ogre-procedural/
   
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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*/
//#ifndef PROCEDURAL_SHAPE_GENERATORS_INCLUDED
#define PROCEDURAL_SHAPE_GENERATORS_INCLUDED
//use new std wrapper...ok


namespace Mogre_Procedural
{
    using System;
    using System.Collections.Generic;
    using System.Text;

    using Mogre;
    using Math = Mogre.Math;
    using Mogre_Procedural.std;
    using ControlPoint = Mogre_Procedural.CubicHermiteSplineControlPoint<Mogre.Vector2>;
    using ControlPoint2 = Mogre_Procedural.KochanekBartelsSplineControlPoint<Mogre.Vector2>;
    //*
    // * \addtogroup shapegrp
    // * @{
    // 
    //-----------------------------------------------------------------------
    //*
    // * Produces a shape from Cubic Hermite control points
    // * \image html spline_cubichermite.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport CubicHermiteSpline2 : public BaseSpline2<CubicHermiteSpline2>
    public class CubicHermiteSpline2 : BaseSpline2<CubicHermiteSpline2>
    {
        //#define ControlPoint_AlternateDefinition1
        private std_vector<ControlPoint> mPoints = new std_vector<CubicHermiteSplineControlPoint<Vector2>>();
        /// Adds a control point
        public CubicHermiteSpline2 addPoint(Vector2 p, Vector2 before, Vector2 after) {
            mPoints.push_back(new CubicHermiteSplineControlPoint<Vector2>(p, before, after));
            return this;
        }
        /// Adds a control point
        public CubicHermiteSpline2 addPoint(Vector2 p, Vector2 tangent) {
            mPoints.push_back(new CubicHermiteSplineControlPoint<Vector2>(p, tangent, tangent));
            return this;
        }
        /// Adds a control point
        public CubicHermiteSpline2 addPoint(Vector2 p) {
            return addPoint(p, CubicHermiteSplineAutoTangentMode.AT_CATMULL);
        }
        //
        //ORIGINAL LINE: inline CubicHermiteSpline2& addPoint(const Ogre::Vector2& p, CubicHermiteSplineAutoTangentMode autoTangentMode = AT_CATMULL)
        public CubicHermiteSpline2 addPoint(Vector2 p, CubicHermiteSplineAutoTangentMode autoTangentMode) {
            CubicHermiteSplineControlPoint<Vector2> cp = new CubicHermiteSplineControlPoint<Vector2>();
            //
            //ORIGINAL LINE: cp.position = p;
            cp.position = (p);
            cp.autoTangentBefore = autoTangentMode;
            cp.autoTangentAfter = autoTangentMode;
            mPoints.push_back(cp);
            return this;
        }

        /// Adds a control point
        public CubicHermiteSpline2 addPoint(float x, float y) {
            return addPoint(x, y, CubicHermiteSplineAutoTangentMode.AT_CATMULL);
        }
        //
        //ORIGINAL LINE: inline CubicHermiteSpline2& addPoint(Ogre::float x, Ogre::float y, CubicHermiteSplineAutoTangentMode autoTangentMode = AT_CATMULL)
        public CubicHermiteSpline2 addPoint(float x, float y, CubicHermiteSplineAutoTangentMode autoTangentMode) {
            CubicHermiteSplineControlPoint<Vector2> cp = new CubicHermiteSplineControlPoint<Vector2>();
            cp.position = new Vector2(x, y);
            cp.autoTangentBefore = autoTangentMode;
            cp.autoTangentAfter = autoTangentMode;
            mPoints.push_back(cp);
            return this;
        }

        /// Safely gets a control point
        //
        //ORIGINAL LINE: inline const CubicHermiteSplineControlPoint<Ogre::Vector2>& safeGetPoint(uint i) const
        public CubicHermiteSplineControlPoint<Vector2> safeGetPoint(int i) {
            if (mClosed)
                return mPoints[Utils.modulo((int)i, mPoints.size())];
            return mPoints[Utils.cap((int)i, 0, mPoints.size() - 1)];
        }

        //    *
        //	 * Builds a shape from control points
        //	 
        //-----------------------------------------------------------------------

        //Shape CubicHermiteSpline2::realizeShape()
        public Shape realizeShape() {
            Shape shape = new Shape();

            int numPoints = mClosed ? mPoints.size() : (mPoints.size() - 1);
            //Precompute tangents
            for (int i = 0; i < mPoints.size(); ++i) {
                CubicHermiteSplineControlPoint<Vector2> mp = mPoints[i];
                GlobalMembers.computeTangents(ref mp, safeGetPoint((i - 1)).position, safeGetPoint(i + 1).position);
            }
            for (int i = 0; i < numPoints; ++i) {
                ControlPoint pointBefore = mPoints[i];
                ControlPoint pointAfter = safeGetPoint(i + 1);
                std_vector<Vector2> shape_getPointsReference = shape.getPointsReference();
                GlobalMembers.computeCubicHermitePoints(pointBefore, pointAfter, (uint)mNumSeg, ref  shape_getPointsReference);

                if (i == mPoints.size() - 2 && !mClosed) {
                    shape.addPoint(pointAfter.position);
                }
            }
            if (mClosed)
                shape.close();
            shape.setOutSide(mOutSide);

            return shape;
        }
    }

    //-----------------------------------------------------------------------
    //*
    // * Builds a shape from a Catmull-Rom Spline.
    // * A catmull-rom smoothly interpolates position between control points
    // * \image html spline_catmull.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport CatmullRomSpline2 : public BaseSpline2<CatmullRomSpline2>
    public class CatmullRomSpline2 : BaseSpline2<CatmullRomSpline2>
    {
        private std_vector<Vector2> mPoints = new std_vector<Vector2>();
        /// Adds a control point
        public CatmullRomSpline2 addPoint(Vector2 pt) {
            mPoints.push_back(pt);
            return this;
        }

        /// Adds a control point
        public CatmullRomSpline2 addPoint(float x, float y) {
            mPoints.push_back(new Vector2(x, y));
            return this;
        }

        /// Safely gets a control point
        //
        //ORIGINAL LINE: inline const Ogre::Vector2& safeGetPoint(uint i) const
        public Vector2 safeGetPoint(uint i) {
            if (mClosed)
                return mPoints[Utils.modulo((int)i, mPoints.Count)];
            return mPoints[Utils.cap((int)i, 0, mPoints.Count - 1)];
        }

        //    *
        //	 * Build a shape from bezier control points
        //	 
        //-----------------------------------------------------------------------
        public Shape realizeShape() {
            Shape shape = new Shape();

            int numPoints = mClosed ? mPoints.Count : (mPoints.Count - 1);
            for (uint i = 0; i < numPoints; ++i) {
                Vector2 P1 = safeGetPoint(i - 1);
                Vector2 P2 = safeGetPoint(i);
                Vector2 P3 = safeGetPoint(i + 1);
                Vector2 P4 = safeGetPoint(i + 2);
                std_vector<Vector2> shape_getPointsReference = shape.getPointsReference();
                GlobalMembers.computeCatmullRomPoints(P1, P2, P3, P4, mNumSeg, ref shape_getPointsReference);

                if (i == mPoints.Count - 2 && !mClosed) {
                    shape.addPoint(P3);
                }

            }
            if (mClosed)
                shape.close();
            shape.setOutSide(mOutSide);

            return shape;
        }
    }

    //-----------------------------------------------------------------------
    //*
    // * Builds a shape from a Kochanek Bartels spline.
    // * \image html spline_kochanekbartels.png
    // * More details here : http://en.wikipedia.org/wiki/Kochanek%E2%80%93Bartels_spline
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport KochanekBartelsSpline2 : public BaseSpline2<KochanekBartelsSpline2>
    public class KochanekBartelsSpline2 : BaseSpline2<KochanekBartelsSpline2>
    {
        //#define ControlPoint_AlternateDefinition2
        private std_vector<ControlPoint2> mPoints = new std_vector<KochanekBartelsSplineControlPoint<Vector2>>();

        /// Adds a control point
        public KochanekBartelsSpline2 addPoint(float x, float y) {
            mPoints.push_back(new KochanekBartelsSplineControlPoint<Vector2>(new Vector2(x, y)));
            return this;
        }

        /// Adds a control point
        public KochanekBartelsSpline2 addPoint(Vector2 p) {
            mPoints.push_back(new KochanekBartelsSplineControlPoint<Vector2>(p));
            return this;
        }

        /// Safely gets a control point
        //
        //ORIGINAL LINE: inline const KochanekBartelsSplineControlPoint<Ogre::Vector2>& safeGetPoint(uint i) const
        public KochanekBartelsSplineControlPoint<Vector2> safeGetPoint(uint i) {
            if (mClosed)
                return mPoints[Utils.modulo((int)i, mPoints.Count)];
            return mPoints[Utils.cap((int)i, 0, mPoints.Count - 1)];
        }

        //    *
        //	 * Adds a control point to the spline
        //	 * @param p Point position
        //	 * @param t Tension    +1 = Tight            -1 = Round
        //	 * @param b Bias       +1 = Post-shoot       -1 = Pre-shoot
        //	 * @param c Continuity +1 = Inverted Corners -1 = Box Corners
        //	 
        public KochanekBartelsSpline2 addPoint(Vector2 p, float t, float b, float c) {
            mPoints.push_back(new KochanekBartelsSplineControlPoint<Vector2>(p, t, b, c));
            return this;
        }

        //    *
        //	 * Builds a shape from control points
        //	 
        //-----------------------------------------------------------------------
        //Shape KochanekBartelsSpline2::realizeShape()
        public Shape realizeShape() {
            Shape shape = new Shape();

            int numPoints = mClosed ? mPoints.size() : (mPoints.size() - 1);
            for (uint i = 0; i < numPoints; ++i) {
                ControlPoint2 P1 = safeGetPoint(i - 1);
                ControlPoint2 P2 = safeGetPoint(i);
                ControlPoint2 P3 = safeGetPoint(i + 1);
                ControlPoint2 P4 = safeGetPoint(i + 2);
                std_vector<Vector2> shape_getPointsReference = shape.getPointsReference();
                GlobalMembers.computeKochanekBartelsPoints(P1, P2, P3, P4, mNumSeg, ref shape_getPointsReference);

                if (i == mPoints.size() - 2 && !mClosed) {
                    shape.addPoint(P3.position);
                }
            }
            if (mClosed)
                shape.close();
            shape.setOutSide(mOutSide);
            return shape;
        }

    }

    //-----------------------------------------------------------------------
    //*
    // * Builds a rectangular shape
    // * \image html shape_rectangle.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport RectangleShape
    public class RectangleShape
    {
        private float mWidth = 0f;
        private float mHeight = 0f;

        /// Default constructor
        public RectangleShape() {
            mWidth = 1.0f;
            mHeight = 1.0f;
        }

        /// Sets width
        /// \exception Ogre::InvalidParametersException Width must be larger than 0!
        public RectangleShape setWidth(float width) {
            if (width <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "Width must be larger than 0!", "Procedural::RectangleShape::setWidth(Ogre::Real)");
            ;
            mWidth = width;
            return this;
        }

        private void OGRE_EXCEPT(string p, string p_2, string p_3) {
            throw new Exception(p + "_" + p_2 + "_" + p_3);
        }

        /// Sets height
        /// \exception Ogre::InvalidParametersException Height must be larger than 0!
        public RectangleShape setHeight(float height) {
            if (height <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "Height must be larger than 0!", "Procedural::RectangleShape::setHeight(Ogre::Real)");
            ;
            mHeight = height;
            return this;
        }

        /// Builds the shape
        public Shape realizeShape() {
            Shape s = new Shape();
            s.addPoint(-0.5f * mWidth, -0.5f * mHeight)
                .addPoint(0.5f * mWidth, -0.5f * mHeight)
                .addPoint(0.5f * mWidth, 0.5f * mHeight)
                .addPoint(-0.5f * mWidth, 0.5f * mHeight)
                .close();
            return s;
        }
    }

    //-----------------------------------------------------------------------
    //*
    // * Builds a circular shape
    // * \image html shape_circle.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport CircleShape
    public class CircleShape
    {
        private float mRadius = 0f;
        private uint mNumSeg;

        /// Default constructor
        public CircleShape() {
            mRadius = 1.0f;
            mNumSeg = 8;
        }

        /// Sets radius
        /// \exception Ogre::InvalidParametersException Radius must be larger than 0!
        public CircleShape setRadius(float radius) {
            if (radius <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "Radius must be larger than 0!", "Procedural::CircleShape::setRadius(Ogre::Real)");
            ;
            mRadius = radius;
            return this;
        }
        private void OGRE_EXCEPT(string p, string p_2, string p_3) {
            throw new Exception(p + "_" + p_2 + "_" + p_3);
        }
        /// Sets number of segments
        /// \exception Ogre::InvalidParametersException Minimum of numSeg is 1
        public CircleShape setNumSeg(uint numSeg) {
            if (numSeg == 0)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "There must be more than 0 segments", "Procedural::CircleShape::setNumSeg(unsigned int)");
            ;
            mNumSeg = numSeg;
            return this;
        }

        /// Builds the shape
        public Shape realizeShape() {
            Shape s = new Shape();
            float deltaAngle = Math.TWO_PI / (float)mNumSeg;
            for (uint i = 0; i < mNumSeg; ++i) {
                s.addPoint(mRadius * cosf(i * deltaAngle), mRadius * sinf(i * deltaAngle));
            }
            s.close();
            return s;
        }


        //---add
        private float sinf(float p) {
            return Math.Sin(p);
        }

        private float cosf(float p) {
            return Math.Cos(p);
        }
    }

    //-----------------------------------------------------------------------
    //*
    // * Builds a ellipse shape
    // * \image html shape_ellipse.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport EllipseShape
    public class EllipseShape
    {
        private float mRadiusX = 0f;
        private float mRadiusY = 0f;
        private uint mNumSeg;

        /// Default constructor
        public EllipseShape() {
            mRadiusX = 1.0f;
            mRadiusY = 1.0f;
            mNumSeg = 8;
        }

        /// Sets radius in x direction
        /// \exception Ogre::InvalidParametersException Radius must be larger than 0!
        public EllipseShape setRadiusX(float radius) {
            if (radius <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "Radius must be larger than 0!", "Procedural::EllipseShape::setRadiusX(Ogre::Real)");
            ;
            mRadiusX = radius;
            return this;
        }
        private void OGRE_EXCEPT(string p, string p_2, string p_3) {
            throw new Exception(p + "_" + p_2 + "_" + p_3);
        }
        /// Sets radius in y direction
        /// \exception Ogre::InvalidParametersException Radius must be larger than 0!
        public EllipseShape setRadiusY(float radius) {
            if (radius <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "Radius must be larger than 0!", "Procedural::EllipseShape::setRadiusY(Ogre::Real)");
            ;
            mRadiusY = radius;
            return this;
        }

        /// Sets number of segments
        /// \exception Ogre::InvalidParametersException Minimum of numSeg is 1
        public EllipseShape setNumSeg(uint numSeg) {
            if (numSeg == 0)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "There must be more than 0 segments", "Procedural::EllipseShape::setNumSeg(unsigned int)");
            ;
            mNumSeg = numSeg;
            return this;
        }

        /// Builds the shape
        public Shape realizeShape() {
            Shape s = new Shape();
            float deltaAngle = Math.TWO_PI / (float)mNumSeg;
            for (uint i = 0; i < mNumSeg; ++i) {
                s.addPoint(mRadiusX * cosf(i * deltaAngle), mRadiusY * sinf(i * deltaAngle));
            }
            s.close();
            return s;
        }


        //----add
        private float sinf(float p) {
            return Math.Sin(p);
        }

        private float cosf(float p) {
            return Math.Cos(p);
        }
    }

    //-----------------------------------------------------------------------
    //*
    // * Builds a triangele shape
    // * \image html shape_triangle.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport TriangleShape
    public class TriangleShape
    {
        private float mLengthA = 0f;
        private float mLengthB = 0f;
        private float mLengthC = 0f;

        /// Default constructor
        public TriangleShape() {
            mLengthA = 1.0f;
            mLengthB = 1.0f;
            mLengthC = 1.0f;
        }

        /// Creates an equilateral triangle
        /// \exception Ogre::InvalidStateException Length of triangle edges must be longer than 0!
        public TriangleShape setLength(float length) {
            if (length <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "Length of triangle edge must be longer than 0!", "Procedural::TriangleShape::setLengthA(Ogre::Real)");
            ;
            mLengthA = length;
            mLengthB = length;
            mLengthC = length;
            return this;
        }
        private void OGRE_EXCEPT(string p, string p_2, string p_3) {
            throw new Exception(p + "_" + p_2 + "_" + p_3);
        }
        /// Sets length of edge A
        /// \exception Ogre::InvalidStateException Length of triangle edge must be longer than 0!
        /// \exception Ogre::InvalidStateException Length of triangle edge A must be shorter or equal than B+C!
        public TriangleShape setLengthA(float length) {
            if (length <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "Length of triangle edge must be longer than 0!", "Procedural::TriangleShape::setLengthA(Ogre::Real)");
            if (length > (mLengthB + mLengthC))
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "Length of triangle edge A must be shorter or equal than B+C!", "Procedural::TriangleShape::setLengthA(Ogre::Real)");
            mLengthA = length;
            return this;
        }

        /// Sets length of edge B
        /// \exception Ogre::InvalidStateException Length of triangle edge must be longer than 0!
        /// \exception Ogre::InvalidStateException Length of triangle edge A must be shorter or equal than B+C!
        public TriangleShape setLengthB(float length) {
            if (length <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "Length of triangle edge must be longer than 0!", "Procedural::TriangleShape::setLengthB(Ogre::Real)");
            if (mLengthA > (length + mLengthC))
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "Length of triangle edge A must be shorter or equal than B+C!", "Procedural::TriangleShape::setLengthB(Ogre::Real)");
            mLengthB = length;

            return this;
        }

        /// Sets length of edge C
        /// \exception Ogre::InvalidStateException Length of triangle edge must be longer than 0!
        /// \exception Ogre::InvalidStateException Length of triangle edge A must be shorter or equal than B+C!
        public TriangleShape setLengthC(float length) {
            if (length <= 0.0f)
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "Length of triangle edge must be longer than 0!", "Procedural::TriangleShape::setLengthC(Ogre::Real)");
            if (mLengthA > (mLengthB + length))
                OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "Length of triangle edge A must be shorter or equal than B+C!", "Procedural::TriangleShape::setLengthC(Ogre::Real)");
            mLengthC = length;
            return this;
        }

        /// Builds the shape
        public Shape realizeShape() {
            Radian alpha = Math.ACos((mLengthB * mLengthB + mLengthC * mLengthC - mLengthA * mLengthA) / (2 * mLengthB * mLengthC));

            Shape s = new Shape();
            s.addPoint(0.0f, 0.0f);
            s.addPoint(Math.Cos(alpha) * mLengthB, Math.Sin(alpha) * mLengthB);
            s.addPoint(mLengthC, 0.0f);
            s.close();
            s.translate((Math.Cos(alpha) * mLengthB + mLengthC) / -3.0f, mLengthB / -3.0f);

            return s;
        }
    }

    //-----------------------------------------------------------------------
    //*
    // * Produces a shape from Cubic Hermite control points
    // * \image html spline_roundedcorner.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport RoundedCornerSpline2 : public BaseSpline2<RoundedCornerSpline2>
    public class RoundedCornerSpline2 : BaseSpline2<RoundedCornerSpline2>
    {
        private float mRadius = 0f;

        private std_vector<Vector2> mPoints = new std_vector<Vector2>();

        public RoundedCornerSpline2() {
            mRadius = .1f;
        }

        /// Sets the radius of the corners
        public RoundedCornerSpline2 setRadius(float radius) {
            mRadius = radius;
            return this;
        }

        /// Adds a control point
        public RoundedCornerSpline2 addPoint(Vector2 p) {
            mPoints.push_back(p);
            return this;
        }

        /// Adds a control point
        public RoundedCornerSpline2 addPoint(float x, float y) {
            mPoints.push_back(new Vector2(x, y));
            return this;
        }

        /// Safely gets a control point
        //
        //ORIGINAL LINE: inline const Ogre::Vector2& safeGetPoint(uint i) const
        public Vector2 safeGetPoint(uint i) {
            if (mClosed)
                return mPoints[Utils.modulo((int)i, mPoints.Count)];
            return mPoints[Utils.cap((int)i, 0, mPoints.Count - 1)];
        }

        //    *
        //	 * Builds a shape from control points
        //	 * \exception Ogre::InvalidStateException The path contains no points
        //	 
        //-----------------------------------------------------------------------
        public Shape realizeShape() {
            if (mPoints.empty())
              OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "The shape contains no points", "Procedural::RoundedCornerSpline2::realizePath()");
            ;

            Shape shape = new Shape();
            int numPoints = mClosed ? mPoints.Count : (mPoints.Count - 2);
            if (!mClosed)
                shape.addPoint(mPoints[0]);

            for (uint i = 0; i < numPoints; ++i) {
                Vector2 p0 = safeGetPoint(i);
                Vector2 p1 = safeGetPoint(i + 1);
                Vector2 p2 = safeGetPoint(i + 2);

                Vector2 vBegin = p1 - p0;
                Vector2 vEnd = p2 - p1;

                // We're capping the radius if it's too big compared to segment length
                float radius = mRadius;
                float smallestSegLength = System.Math.Min(vBegin.Length, vEnd.Length);
                if (smallestSegLength < 2 * mRadius)
                    radius = smallestSegLength / 2.0f;

                Vector2 pBegin = p1 - vBegin.NormalisedCopy * radius;
                Vector2 pEnd = p1 + vEnd.NormalisedCopy * radius;
                Line2D line1 = new Line2D(pBegin, vBegin.Perpendicular);
                Line2D line2 = new Line2D(pEnd, vEnd.Perpendicular);
                Vector2 center = new Vector2();
                line1.findIntersect(line2, ref center);
                Vector2 vradBegin = pBegin - center;
                Vector2 vradEnd = pEnd - center;
                Radian angleTotal = Utils.angleBetween(vradBegin, vradEnd);
                if (vradBegin.CrossProduct(vradEnd) < 0f)
                    angleTotal = -angleTotal;

                for (uint j = 0; j <= mNumSeg; j++) {
                    Vector2 deltaVector = Utils.rotateVector2(vradBegin, (float)j * angleTotal / (float)mNumSeg);
                    shape.addPoint(center + deltaVector);
                }
            }

            if (!mClosed)
                shape.addPoint(mPoints[mPoints.size() - 1]);

            if (mClosed)
                shape.close();
            shape.setOutSide(mOutSide);

            return shape;
        }
    }

    //-----------------------------------------------------------------------
    //*
    // * Builds a shape from a Bezier-Curve.
    // * \image html spline_beziercurve.png
    // 
    //C++ TO C# CONVERTER WARNING: The original type declaration contained unconverted modifiers:
    //ORIGINAL LINE: class _ProceduralExport BezierCurve2 : public BaseSpline2<BezierCurve2>
    public class BezierCurve2 : BaseSpline2<BezierCurve2>
    {
        private std_vector<Vector2> mPoints = new std_vector<Vector2>();
        private uint mNumSeg;

        /// Default constructor
        public BezierCurve2() {
            mNumSeg = 8;
        }

        /// Sets number of segments per two control points
        /// \exception Ogre::InvalidParametersException Minimum of numSeg is 1
        public BezierCurve2 setNumSeg(uint numSeg) {
            if (numSeg == 0)
               OGRE_EXCEPT("Ogre::Exception::ERR_INVALIDPARAMS", "There must be more than 0 segments", "Procedural::BezierCurve2::setNumSeg(unsigned int)");
            ;
            mNumSeg = numSeg;
            return this;
        }

        /// Adds a control point
        public BezierCurve2 addPoint(Vector2 pt) {
            mPoints.push_back(pt);
            return this;
        }

        /// Adds a control point
        public BezierCurve2 addPoint(float x, float y) {
            mPoints.push_back(new Vector2(x, y));
            return this;
        }

        /// Safely gets a control point
        //
        //ORIGINAL LINE: inline const Ogre::Vector2& safeGetPoint(uint i) const
        public Vector2 safeGetPoint(uint i) {
            if (mClosed)
                return mPoints[Utils.modulo((int)i, mPoints.Count)];
            return mPoints[Utils.cap((int)i, 0, mPoints.Count - 1)];
        }

        //    *
        //	 * Build a shape from bezier control points
        //	 * @exception Ogre::InvalidStateException The curve must at least contain 2 points
        //	 

        //-----------------------------------------------------------------------
        public Shape realizeShape() {
            if (mPoints.size() < 2)
               OGRE_EXCEPT("Ogre::Exception::ERR_INVALID_STATE", "The curve must at least contain 2 points", "Procedural::BezierCurve2::realizePath()");
            ;

            uint[] coef = new uint[mPoints.size()];
            if (mPoints.size() == 2) {
                coef[0] = 1;
                coef[1] = 1;
            }
            else if (mPoints.size() == 3) {
                coef[0] = 1;
                coef[1] = 2;
                coef[2] = 1;
            }
            else if (mPoints.size() == 4) {
                coef[0] = 1;
                coef[1] = 3;
                coef[2] = 3;
                coef[3] = 1;
            }
            else {
                for (uint i = 0; i < mPoints.size(); i++)
                    coef[i] = Utils.binom((uint)mPoints.size() - 1, i);
            }

            uint div = ((uint)mPoints.size() - 1) * mNumSeg + 1;
            float dt = 1.0f / (float)div;

            Shape shape = new Shape();
            float t = 0.0f;
            while (t < 1.0f) {
                float x = 0.0f;
                float y = 0.0f;
                for (int i = 0; i < (int)mPoints.size(); i++) {
                    float fac = (float)(coef[i] * System.Math.Pow(t, i) * System.Math.Pow(1.0f - t, (int)mPoints.size() - 1 - i));
                    x += fac * mPoints[i].x;
                    y += fac * mPoints[i].y;
                }
                shape.addPoint(x, y);
                t += dt;
            }
            //	delete coef;
            coef = null;

            return shape;
        }
    }
    //* @} 
}