Test-Planet/Assets/UltraCombos.Metamesh/Editor/GoldbergBuilder.cs

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

namespace Metamesh
{
    public class GoldbergBuilder
    {
        public class GoldbergVertexDataOption
        {
            public float size = 1;
            public float sizeX = 1;
            public float sizeY = 1;
            public float sizeZ = 1;
        };

        public class GoldbergCreationOption : GoldbergVertexDataOption
        {
            public int m;
            public int n;
        }

        public class VertexData
        {
            public List<Vector3> vertices;
            public List<int> indices;
            public List<Vector3> normals;
            public List<Vector2> uvs;
            public List<Vector4> barycentrics;
        }
        
        private static VertexData CreateGoldbergVertexData(GoldbergVertexDataOption options, PolyhedronData goldbergData)
        {
            var size = options.size;
            var sizeX = options.sizeX;// || size || 1;
            var sizeY = options.sizeY;// || size || 1;
            var sizeZ = options.sizeZ;// || size || 1;

            var positions = new List<Vector3>();
            var indices = new List<int>();
            var normals = new List<Vector3>();
            var uvs = new List<Vector2>();
            var barycentrics = new List<Vector4>();

            var minX = float.MaxValue;
            var maxX = float.MinValue;
            var minY = float.MaxValue;
            var maxY = float.MinValue;

            for (var v = 0; v < goldbergData.vertex.Count; v++)
            {
                minX = Mathf.Min(minX, goldbergData.vertex[v].x * sizeX);
                maxX = Mathf.Max(maxX, goldbergData.vertex[v].x * sizeX);
                minY = Mathf.Min(minY, goldbergData.vertex[v].y * sizeY);
                maxY = Mathf.Max(maxY, goldbergData.vertex[v].y * sizeY);
            }
            
            var index = 0;
            for (var f = 0; f < goldbergData.face.Count; f++)
            {
                var verts = goldbergData.face[f];
                if (verts.Any(v => v >= goldbergData.vertex.Count))
                {
                    Debug.LogWarning($"Polygon#{f} has some index > {goldbergData.vertex.Count}");
                    continue;
                }
                var a = goldbergData.vertex[verts[0]];
                var b = goldbergData.vertex[verts[2]];
                var c = goldbergData.vertex[verts[1]];
                var ba = b - a;
                var ca = c - a;
                var norm = Vector3.Cross(ca, ba).normalized;
                var x = verts.Average(v => goldbergData.vertex[v].x);
                var y = verts.Average(v => goldbergData.vertex[v].y);
                var z = verts.Average(v => goldbergData.vertex[v].z);
                var centroid = new Vector3(x, y, z);
                var rot = Quaternion.FromToRotation(norm, Vector3.up);
                var mtx = Matrix4x4.TRS(Vector3.zero, rot, Vector3.one);
                var right = mtx.MultiplyVector(a - centroid);
                var angle = Vector2.SignedAngle(new Vector2(right.x, right.z), Vector2.right) * Mathf.Deg2Rad;
                for (var v = 0; v < verts.Count; v++)
                {
                    normals.Add(norm);
                    var pdata = goldbergData.vertex[verts[v]];
                    var pos = pdata;//new Vector3(pdata.x * sizeX, pdata.y * sizeY, pdata.z * sizeZ);
                    positions.Add(pos);
                    var vCoord = (pdata[1] * sizeY - minY) / (maxY - minY);
                    uvs.Add(new Vector3((pdata[0] * sizeX - minX) / (maxX - minX), vCoord, f));

                    var dir = mtx.MultiplyVector(pos - centroid);
                    var braycentric = new Vector2(dir.x, dir.z).Rotate(angle).normalized * 0.5f;
                    barycentrics.Add(new Vector4(braycentric.x, braycentric.y, verts.Count, f));
                }
                for (var v = 0; v < verts.Count - 2; v++)
                {
                    indices.AddRange(new int[] { index, index + v + 1, index + v + 2 });
                }
                
                index += verts.Count;
            }
            
            return new VertexData()
            {
                vertices = positions,
                indices = indices,
                normals = normals,
                uvs = uvs,
                barycentrics = barycentrics,
            };
        }

        public static VertexData CreateGoldberg(GoldbergCreationOption options)
        {
            var size = options.size;
            var sizeX = options.sizeX;// || size || 1;
            var sizeY = options.sizeY;// || size || 1;
            var sizeZ = options.sizeZ;// || size || 1;
            var m = options.m;// || 1;
            var n = options.n;// || 0;
            if (n > m)
            {
                (n, m) = (m, n);
                Debug.LogWarning("n > m therefore m and n swapped");
            }
            var primTri = new PrimaryIsoTriangle();
            primTri.Build(m, n);
            var geodesicData = GeodesicData.BuildGeodesicData(primTri);
            var goldbergData = geodesicData.ToGoldbergPolyhedronData();
            /*
            var nbSharedFaces = geodesicData.sharedNodes;
            var nbUnsharedFaces = geodesicData.poleNodes;
            var adjacentFaces = geodesicData.adjacentFaces;
            var nbFaces = nbSharedFaces + nbUnsharedFaces;
            var nbFacesAtPole = (nbUnsharedFaces - 12) / 12;
            var faceCenters = geodesicData.vertex.Keys.Select(v => v * size).ToArray();
            var faceColors = geodesicData.vertex.Keys.Select(_ => Color.white).ToArray();
            */
            var vertexData = CreateGoldbergVertexData(options, goldbergData);
            return vertexData;
        }
    }

}