ici_recycle_vr/Assets/LiquidVolumePro/ThirdParty/MIConvexHull/Triangulation.cs

/******************************************************************************
 *
 * The MIT License (MIT)
 *
 * LiquidVolumeFX.MIConvexHull, Copyright (c) 2015 David Sehnal, Matthew Campbell
 * 
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 * 
 * The above copyright notice and this permission notice shall be included in
 * all copies or substantial portions of the Software.
 * 
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 * THE SOFTWARE.
 *  
 *****************************************************************************/

using System.Collections.Generic;
using System.Linq;

namespace LiquidVolumeFX.MIConvexHull
{
    /// <summary>
    /// Simple interface to unify different types of triangulations in the future.
    /// </summary>
    /// <typeparam name="TVertex">The type of the t vertex.</typeparam>
    /// <typeparam name="TCell">The type of the t cell.</typeparam>
    public interface ITriangulation<TVertex, TCell>
        where TCell : TriangulationCell<TVertex, TCell>, new()
        where TVertex : IVertex
    {
        /// <summary>
        /// Triangulation simplexes. For 2D - triangles, 3D - tetrahedrons, etc ...
        /// </summary>
        /// <value>The cells.</value>
        IEnumerable<TCell> Cells { get; }
    }

    /// <summary>
    /// Factory class for creating triangulations.
    /// </summary>
    public static class Triangulation
    {
        /// <summary>
        /// Creates the Delaunay triangulation of the input data.
        /// </summary>
        /// <typeparam name="TVertex">The type of the t vertex.</typeparam>
        /// <param name="data">The data.</param>
        /// <param name="PlaneDistanceTolerance">The plane distance tolerance (default is 1e-10). If too high, points 
        /// will be missed. If too low, the algorithm may break. Only adjust if you notice problems.</param>
        /// <returns>ITriangulation&lt;TVertex, DefaultTriangulationCell&lt;TVertex&gt;&gt;.</returns>
        public static ITriangulation<TVertex, DefaultTriangulationCell<TVertex>> CreateDelaunay<TVertex>(
            IList<TVertex> data,
            double PlaneDistanceTolerance = Constants.DefaultPlaneDistanceTolerance)
            where TVertex : IVertex
        {
            return DelaunayTriangulation<TVertex, DefaultTriangulationCell<TVertex>>.Create(data, PlaneDistanceTolerance);
        }

        /// <summary>
        /// Creates the Delaunay triangulation of the input data.
        /// </summary>
        /// <param name="data">The data.</param>
        /// <param name="PlaneDistanceTolerance">The plane distance tolerance (default is 1e-10). If too high, points 
        /// will be missed. If too low, the algorithm may break. Only adjust if you notice problems.</param>
        /// <returns>ITriangulation&lt;DefaultVertex, DefaultTriangulationCell&lt;DefaultVertex&gt;&gt;.</returns>
        public static ITriangulation<DefaultVertex, DefaultTriangulationCell<DefaultVertex>> CreateDelaunay(
            IList<double[]> data,
            double PlaneDistanceTolerance = Constants.DefaultPlaneDistanceTolerance)
        {
            var points = data.Select(p => new DefaultVertex { Position = p }).ToList();
            return DelaunayTriangulation<DefaultVertex, DefaultTriangulationCell<DefaultVertex>>.Create(points, PlaneDistanceTolerance);
        }

        /// <summary>
        /// Creates the Delaunay triangulation of the input data.
        /// </summary>
        /// <typeparam name="TVertex">The type of the t vertex.</typeparam>
        /// <typeparam name="TFace">The type of the t face.</typeparam>
        /// <param name="data">The data.</param>
        /// <param name="PlaneDistanceTolerance">The plane distance tolerance (default is 1e-10). If too high, points 
        /// will be missed. If too low, the algorithm may break. Only adjust if you notice problems.</param>
        /// <returns>ITriangulation&lt;TVertex, TFace&gt;.</returns>
        public static ITriangulation<TVertex, TFace> CreateDelaunay<TVertex, TFace>(IList<TVertex> data,
            double PlaneDistanceTolerance = Constants.DefaultPlaneDistanceTolerance)
            where TVertex : IVertex
            where TFace : TriangulationCell<TVertex, TFace>, new()
        {
            return DelaunayTriangulation<TVertex, TFace>.Create(data, PlaneDistanceTolerance);
        }


        /// <summary>
        /// Create the voronoi mesh.
        /// </summary>
        /// <typeparam name="TVertex">The type of the t vertex.</typeparam>
        /// <typeparam name="TCell">The type of the t cell.</typeparam>
        /// <typeparam name="TEdge">The type of the t edge.</typeparam>
        /// <param name="data">The data.</param>
        /// <param name="PlaneDistanceTolerance">The plane distance tolerance (default is 1e-10). If too high, points 
        /// will be missed. If too low, the algorithm may break. Only adjust if you notice problems.</param>
        /// <returns>VoronoiMesh&lt;TVertex, TCell, TEdge&gt;.</returns>
        public static VoronoiMesh<TVertex, TCell, TEdge> CreateVoronoi<TVertex, TCell, TEdge>(IList<TVertex> data,
            double PlaneDistanceTolerance = Constants.DefaultPlaneDistanceTolerance)
            where TCell : TriangulationCell<TVertex, TCell>, new()
            where TVertex : IVertex
            where TEdge : VoronoiEdge<TVertex, TCell>, new()
        {
            return VoronoiMesh<TVertex, TCell, TEdge>.Create(data, PlaneDistanceTolerance);
        }

        /// <summary>
        /// Create the voronoi mesh.
        /// </summary>
        /// <typeparam name="TVertex">The type of the t vertex.</typeparam>
        /// <param name="data">The data.</param>
        /// <param name="PlaneDistanceTolerance">The plane distance tolerance (default is 1e-10). If too high, points 
        /// will be missed. If too low, the algorithm may break. Only adjust if you notice problems.</param>
        /// <returns>VoronoiMesh&lt;TVertex, DefaultTriangulationCell&lt;TVertex&gt;, VoronoiEdge&lt;TVertex, DefaultTriangulationCell&lt;TVertex&gt;&gt;&gt;.</returns>
        public static
            VoronoiMesh
                <TVertex, DefaultTriangulationCell<TVertex>, VoronoiEdge<TVertex, DefaultTriangulationCell<TVertex>>>
            CreateVoronoi<TVertex>(IList<TVertex> data,
                double PlaneDistanceTolerance = Constants.DefaultPlaneDistanceTolerance)
            where TVertex : IVertex
        {
            return
                VoronoiMesh
                    <TVertex, DefaultTriangulationCell<TVertex>, VoronoiEdge<TVertex, DefaultTriangulationCell<TVertex>>
                        >.Create(data, PlaneDistanceTolerance);
        }

        /// <summary>
        /// Create the voronoi mesh.
        /// </summary>
        /// <param name="data">The data.</param>
        /// <param name="PlaneDistanceTolerance">The plane distance tolerance (default is 1e-10). If too high, points 
        /// will be missed. If too low, the algorithm may break. Only adjust if you notice problems.</param>
        /// <returns>VoronoiMesh&lt;DefaultVertex, DefaultTriangulationCell&lt;DefaultVertex&gt;, VoronoiEdge&lt;DefaultVertex, DefaultTriangulationCell&lt;DefaultVertex&gt;&gt;&gt;.</returns>
        public static
            VoronoiMesh
                <DefaultVertex, DefaultTriangulationCell<DefaultVertex>,
                    VoronoiEdge<DefaultVertex, DefaultTriangulationCell<DefaultVertex>>>
            CreateVoronoi(IList<double[]> data,
                double PlaneDistanceTolerance = Constants.DefaultPlaneDistanceTolerance)
        {
            var points = data.Select(p => new DefaultVertex { Position = p.ToArray() }).ToList();
            return
                VoronoiMesh
                    <DefaultVertex, DefaultTriangulationCell<DefaultVertex>,
                        VoronoiEdge<DefaultVertex, DefaultTriangulationCell<DefaultVertex>>>.Create(points, PlaneDistanceTolerance);
        }

        /// <summary>
        /// Create the voronoi mesh.
        /// </summary>
        /// <typeparam name="TVertex">The type of the t vertex.</typeparam>
        /// <typeparam name="TCell">The type of the t cell.</typeparam>
        /// <param name="data">The data.</param>
        /// <param name="PlaneDistanceTolerance">The plane distance tolerance (default is 1e-10). If too high, points 
        /// will be missed. If too low, the algorithm may break. Only adjust if you notice problems.</param>
        /// <returns>VoronoiMesh&lt;TVertex, TCell, VoronoiEdge&lt;TVertex, TCell&gt;&gt;.</returns>
        public static VoronoiMesh<TVertex, TCell, VoronoiEdge<TVertex, TCell>> CreateVoronoi<TVertex, TCell>(
            IList<TVertex> data,
            double PlaneDistanceTolerance = Constants.DefaultPlaneDistanceTolerance)
            where TVertex : IVertex
            where TCell : TriangulationCell<TVertex, TCell>, new()
        {
            return VoronoiMesh<TVertex, TCell, VoronoiEdge<TVertex, TCell>>.Create(data, PlaneDistanceTolerance);
        }
    }
}