protected void Start()
{
var hexGridSurface = RectangularHexGrid.Create(
HexGridDescriptor.CreateSideUp(true, HexGridAxisStyles.StaggeredSymmetric),
Vector3.zero, Quaternion.Euler(90f, 0f, 0f),
false, false,
new IntVector2(topologyWidth, topologyHeight));
_surface = hexGridSurface;
Vector3[] vertexPositionsArray;
_topology = hexGridSurface.CreateManifold(out vertexPositionsArray);
_vertexPositions = vertexPositionsArray.AsVertexAttribute();
_facePositions = FaceAttributeUtility.CalculateFaceCentroidsFromVertexPositions(_topology.internalFaces, _vertexPositions);
_faceCornerBisectors = EdgeAttributeUtility.CalculateFaceEdgeBisectorsFromVertexPositions(_topology.internalFaces, _vertexPositions, _facePositions);
_faceBlockedStates = new bool[_topology.internalFaces.Count].AsFaceAttribute();
var triangulation = new SeparatedFacesUmbrellaTriangulation(2,
(Topology.FaceEdge edge, DynamicMesh.IIndexedVertexAttributes vertexAttributes) =>
{
vertexAttributes.position = _vertexPositions[edge];
vertexAttributes.normal = Vector3.up;
vertexAttributes.color = borderColor;
vertexAttributes.Advance();
vertexAttributes.position = _vertexPositions[edge] + _faceCornerBisectors[edge] * 0.05f;
vertexAttributes.normal = (vertexAttributes.position + Vector3.up - _facePositions[edge.nearFace]).normalized;
vertexAttributes.color = normalColor;
vertexAttributes.Advance();
},
(Topology.Face face, DynamicMesh.IIndexedVertexAttributes vertexAttributes) =>
{
vertexAttributes.position = _facePositions[face];
vertexAttributes.normal = Vector3.up;
vertexAttributes.color = normalColor;
vertexAttributes.Advance();
});
_dynamicMesh = DynamicMesh.Create(
_topology.enumerableInternalFaces,
DynamicMesh.VertexAttributes.Position |
DynamicMesh.VertexAttributes.Normal |
DynamicMesh.VertexAttributes.Color,
triangulation);
foreach (var mesh in _dynamicMesh.submeshes)
{
var meshFilter = Instantiate(submeshPrefab);
meshFilter.mesh = mesh;
meshFilter.transform.SetParent(transform, false);
}
var partioning = UniversalFaceSpatialPartitioning.Create(_surface, _topology, _vertexPositions);
var picker = GetComponent <FaceSpatialPartitioningPicker>();
picker.partitioning = partioning;
}
public override IEnumerator BeginGeneration()
{
var surface = surfaceInputSlot.GetAsset <Surface>();
var topology = topologyInputSlot.GetAsset <Topology>();
var vertexPositions = vertexPositionsInputSlot.GetAsset <IEdgeAttribute <Vector3> >();
var facePositions = facePositionsInputSlot.GetAsset <IFaceAttribute <Vector3> >();
var bisectors = Vector3EdgeAttribute.Create(topology.faceEdges.Count);
EdgeAttributeUtility.CalculateFaceEdgeBisectorsFromVertexPositions(topology.internalFaces, surface, vertexPositions, facePositions, bisectors);
bisectorsOutputSlot.SetAsset(bisectors);
yield break;
}
public void OnPlanarLocalVariableScaleCentered()
{
Topology topology;
IVertexAttribute <Vector3> vertexPositions;
IFaceAttribute <Vector3> facePositions;
CreateGrid(out topology, out vertexPositions, out facePositions);
var edgeUVs = EdgeAttributeUtility.CalculatePerFacePlanarVariablyNormalizedUVsFromVertexPositions(topology.faceEdges, topology.internalFaces, vertexPositions, facePositions, Vector3.right * uvScale.x, Vector3.up * uvScale.y, GetAspectRatioPreservation());
var triangulation = new SeparatedFacesFanTriangulation(
(Topology.FaceEdge edge, DynamicMesh.IIndexedVertexAttributes vertexAttributes) =>
{
vertexAttributes.position = vertexPositions[edge];
vertexAttributes.normal = Vector3.back;
vertexAttributes.uv = edgeUVs[edge];
vertexAttributes.Advance();
});
CreateMesh(topology.enumerableInternalFaces, triangulation, smallTextureMeshPrefab);
CenterCamera(vertexPositions);
}
/// <summary>
/// Attempts to move the positions of vertices such that they have roughly uniform density, with a bias towards also making sure that the surface areas of the faces also become more uniform.
/// </summary>
/// <param name="surface">The spherical surface describing the overall shape of the manifold.</param>
/// <param name="topology">The topology to relax.</param>
/// <param name="vertexPositions">The original positions of the vertices to relax.</param>
/// <param name="lockBoundaryPositions">Indicates that vertices with an external neighboring face should not have their positions altered.</param>
/// <param name="relaxedVertexPositions">A pre-allocated collection in which the relaxed vertex positions will be stored. Should not be the same collection as <paramref name="vertexPositions"/>.</param>
/// <param name="faceCentroids">A pre-allocated collection in which the intermediate face centroid positions will be stored.</param>
/// <param name="vertexAreas">A pre-allocated collection in which the intermediate nearby surface areas of vertices will be stored.</param>
/// <param name="faceCentroidAngles">A pre-allocated collection in which the intermediate face centroid angles will be stored.</param>
/// <returns>The relaxed vertex positions.</returns>
public static IVertexAttribute <Vector3> RelaxVertexPositionsForEqualArea(SphericalSurface surface, Topology topology, IVertexAttribute <Vector3> vertexPositions, bool lockBoundaryPositions, IVertexAttribute <Vector3> relaxedVertexPositions, IFaceAttribute <Vector3> faceCentroids, IEdgeAttribute <float> faceCentroidAngles, IVertexAttribute <float> vertexAreas)
{
var idealArea = surface.radius * surface.radius * 4f * Mathf.PI / topology.vertices.Count;
FaceAttributeUtility.CalculateSphericalFaceCentroidsFromVertexPositions(topology.internalFaces, surface, vertexPositions, faceCentroids);
EdgeAttributeUtility.CalculateSphericalFaceCentroidAnglesFromFaceCentroids(topology.faceEdges, surface, faceCentroids, faceCentroidAngles);
VertexAttributeUtility.CalculateSphericalVertexAreasFromFaceCentroidAngles(topology.vertices, surface, faceCentroidAngles, vertexAreas);
for (int i = 0; i < topology.vertices.Count; ++i)
{
relaxedVertexPositions[i] = new Vector3(0f, 0f, 0f);
}
foreach (var vertex in topology.vertices)
{
var multiplier = Mathf.Sqrt(idealArea / vertexAreas[vertex]);
foreach (var edge in vertex.edges)
{
var neighborVertex = edge.vertex;
var neighborRelativeCenter = vertexPositions[edge.twin];
relaxedVertexPositions[neighborVertex] += (vertexPositions[neighborVertex] - neighborRelativeCenter) * multiplier + neighborRelativeCenter;
}
}
foreach (var vertex in topology.vertices)
{
if (!lockBoundaryPositions || !vertex.hasExternalFaceNeighbor)
{
relaxedVertexPositions[vertex] = relaxedVertexPositions[vertex].WithMagnitude(surface.radius);
}
else
{
relaxedVertexPositions[vertex] = vertexPositions[vertex];
}
}
return(relaxedVertexPositions);
}
public void SubdividedIcosahedronFaceEdgeMidpointWeightedIntersections()
{
CreateSubdividedIcosahedron(1f);
edgeMidpoints = EdgeAttributeUtility.CalculateVertexEdgeMidpointsFromVertexPositions(topology.vertexEdges, vertexPositions);
FaceEdgeMidpointWeightedIntersections();
}
public void CubeFaceEdgeMidpointWeightedIntersections()
{
CreateCube(1f);
edgeMidpoints = EdgeAttributeUtility.CalculateVertexEdgeMidpointsFromVertexPositions(topology.vertexEdges, vertexPositions);
FaceEdgeMidpointWeightedIntersections();
}
public void LargeDistortedHexGridFaceEdgeMidpointWeightedIntersections()
{
CreateDistortedHexGrid(8, 8, 1);
edgeMidpoints = EdgeAttributeUtility.CalculateVertexEdgeMidpointsFromVertexPositions(topology.vertexEdges, vertexPositions);
FaceEdgeMidpointWeightedIntersections();
}
public void SmallHexGridFaceEdgeMidpointWeightedIntersections()
{
CreateHexGrid(2, 2);
edgeMidpoints = EdgeAttributeUtility.CalculateVertexEdgeMidpointsFromVertexPositions(topology.vertexEdges, vertexPositions);
FaceEdgeMidpointWeightedIntersections();
}
protected void Start()
{
orbitalCamera.enabled = !isInverted;
pivotalCamera.enabled = isInverted;
exteriorLight.enabled = !isInverted;
interiorLight.enabled = isInverted;
_lightVector = (isInverted ? interiorLight : exteriorLight).transform.position;
_lightAxis = Vector3.Cross(Vector3.Cross(Vector3.up, _lightVector), _lightVector);
RenderSettings.ambientLight = new Color(0.3f, 0.4f, 0.5f);
RenderSettings.ambientIntensity = 0.25f;
RenderSettings.customReflection = whiteCubeMap;
RenderSettings.reflectionIntensity = 0.125f;
RenderSettings.defaultReflectionMode = UnityEngine.Rendering.DefaultReflectionMode.Custom;
_picker = GetComponent <FaceSpatialPartitioningPicker>();
_surface = SphericalSurface.Create(Vector3.up, Vector3.right, 10f, isInverted);
Vector3[] baseVertexPositionsArray;
Topology baseTopology;
SphericalManifoldUtility.CreateIcosahedron(_surface, out baseTopology, out baseVertexPositionsArray);
Vector3[] vertexPositionsArray;
SphericalManifoldUtility.Subdivide(_surface, baseTopology, baseVertexPositionsArray.AsVertexAttribute(), topologySubdivision, out _topology, out vertexPositionsArray);
_vertexPositions = PositionalVertexAttribute.Create(_surface, vertexPositionsArray);
SphericalManifoldUtility.MakeDual(_surface, _topology, _vertexPositions, out vertexPositionsArray);
_vertexPositions = PositionalVertexAttribute.Create(_surface, vertexPositionsArray);
var regularityWeight = 0.5f;
var equalAreaWeight = 1f - regularityWeight;
var regularityRelaxedVertexPositions = new Vector3[_topology.vertices.Count].AsVertexAttribute();
var equalAreaRelaxedVertexPositions = new Vector3[_topology.vertices.Count].AsVertexAttribute();
var relaxedVertexPositions = regularityRelaxedVertexPositions;
var faceCentroids = PositionalFaceAttribute.Create(_surface, _topology.internalFaces.Count);
var faceCentroidAngles = new float[_topology.faceEdges.Count].AsEdgeAttribute();
var vertexAreas = new float[_topology.vertices.Count].AsVertexAttribute();
FaceAttributeUtility.CalculateFaceCentroidsFromVertexPositions(_topology.internalFaces, _vertexPositions, faceCentroids);
VertexAttributeUtility.CalculateVertexAreasFromVertexPositionsAndFaceCentroids(_topology.vertices, _vertexPositions, faceCentroids, vertexAreas);
Func <float> relaxIterationFunction = () =>
{
SphericalManifoldUtility.RelaxVertexPositionsForRegularity(_surface, _topology, _vertexPositions, true, regularityRelaxedVertexPositions);
SphericalManifoldUtility.RelaxVertexPositionsForEqualArea(_surface, _topology, _vertexPositions, true, equalAreaRelaxedVertexPositions, faceCentroids, faceCentroidAngles, vertexAreas);
for (int i = 0; i < relaxedVertexPositions.Count; ++i)
{
relaxedVertexPositions[i] = regularityRelaxedVertexPositions[i] * regularityWeight + equalAreaRelaxedVertexPositions[i] * equalAreaWeight;
}
var relaxationAmount = SphericalManifoldUtility.CalculateRelaxationAmount(_vertexPositions, relaxedVertexPositions);
for (int i = 0; i < _vertexPositions.Count; ++i)
{
_vertexPositions[i] = relaxedVertexPositions[i];
}
return(relaxationAmount);
};
Func <bool> repairFunction = () =>
{
return(SphericalManifoldUtility.ValidateAndRepair(_surface, _topology, _vertexPositions, 0.5f, true));
};
Action relaxationLoopFunction = TopologyRandomizer.CreateRelaxationLoopFunction(20, 20, 0.95f, relaxIterationFunction, repairFunction);
TopologyRandomizer.Randomize(
_topology, 1, 0.1f,
3, 3, 5, 7, true,
_random,
relaxationLoopFunction);
_facePositions = PositionalFaceAttribute.Create(_surface, _topology.internalFaces.Count);
FaceAttributeUtility.CalculateFaceCentroidsFromVertexPositions(_topology.internalFaces, _vertexPositions, _facePositions);
_maximumFaceDistance = 0f;
foreach (var edge in _topology.faceEdges)
{
var distance = Geometry.AngleBetweenVectors(_facePositions[edge.nearFace], _facePositions[edge.farFace]) * _surface.radius;
_maximumFaceDistance = Mathf.Max(_maximumFaceDistance, distance);
}
_innerAngleBisectors = EdgeAttributeUtility.CalculateFaceEdgeBisectorsFromVertexPositions(_topology.internalFaces, _vertexPositions, _facePositions);
_innerVertexPositions = new Vector3[_topology.faceEdges.Count].AsEdgeAttribute();
foreach (var edge in _topology.faceEdges)
{
_innerVertexPositions[edge] = _vertexPositions[edge] + _innerAngleBisectors[edge] * 0.03f;
}
_faceNormals = FaceAttributeUtility.CalculateFaceNormalsFromSurface(_topology.faces, _surface, _facePositions);
_faceUVFrames = FaceAttributeUtility.CalculatePerFaceSphericalUVFramesFromFaceNormals(_topology.faces, _faceNormals, Quaternion.identity);
_faceOuterEdgeUVs = EdgeAttributeUtility.CalculatePerFaceUnnormalizedUVsFromVertexPositions(_topology.faces, _vertexPositions, _faceUVFrames);
_faceInnerEdgeUVs = EdgeAttributeUtility.CalculatePerFaceUnnormalizedUVsFromVertexPositions(_topology.faces, _innerVertexPositions, _faceUVFrames);
_faceCenterUVs = FaceAttributeUtility.CalculateUnnormalizedUVsFromFacePositions(_topology.faces, _facePositions, _faceUVFrames);
var faceMinUVs = new Vector2[_topology.faces.Count].AsFaceAttribute();
var faceRangeUVs = new Vector2[_topology.faces.Count].AsFaceAttribute();
FaceAttributeUtility.CalculateFaceEdgeMinAndRangeValues(_topology.faces, _faceOuterEdgeUVs, faceMinUVs, faceRangeUVs);
foreach (var face in _topology.faces)
{
var uvMin = faceMinUVs[face];
var uvRange = faceRangeUVs[face];
var adjusted = AspectRatioUtility.Expand(new Rect(uvMin.x, uvMin.y, uvRange.x, uvRange.y), 1f);
faceMinUVs[face] = adjusted.min;
faceRangeUVs[face] = adjusted.size;
}
_faceOuterEdgeUVs = EdgeAttributeUtility.CalculatePerFaceUniformlyNormalizedUVsFromFaceUVMinAndRange(_topology.faces, faceMinUVs, faceRangeUVs, _faceOuterEdgeUVs);
_faceInnerEdgeUVs = EdgeAttributeUtility.CalculatePerFaceUniformlyNormalizedUVsFromFaceUVMinAndRange(_topology.faces, faceMinUVs, faceRangeUVs, _faceInnerEdgeUVs);
_faceCenterUVs = FaceAttributeUtility.CalculateUniformlyNormalizedUVsFromFaceUVMinAndRange(_topology.faces, faceMinUVs, faceRangeUVs, _faceCenterUVs);
_partitioning = UniversalFaceSpatialPartitioning.Create(_surface, _topology, _vertexPositions);
_picker.partitioning = _partitioning;
_picker.enabled = true;
_faceTerrainIndices = new int[_topology.faces.Count].AsFaceAttribute();
var terrainWeights = new int[] { grassWeight, waterWeight, desertWeight, mountainWeight };
int terrainWeightSum = 0;
foreach (var weight in terrainWeights)
{
terrainWeightSum += weight;
}
var rootFaces = new List <Topology.Face>();
var rootFaceEdges = new List <Topology.FaceEdge>();
for (int regionIndex = 0; regionIndex < geographicalRegionCount; ++regionIndex)
{
Topology.Face face;
do
{
face = _topology.internalFaces[_random.Index(_topology.internalFaces.Count)];
} while (rootFaces.Contains(face));
rootFaces.Add(face);
foreach (var edge in face.edges)
{
rootFaceEdges.Add(edge);
}
_faceTerrainIndices[face] = _random.WeightedIndex(terrainWeights, terrainWeightSum);
}
TopologyVisitor.VisitFacesInRandomOrder(rootFaceEdges, (FaceEdgeVisitor visitor) =>
{
_faceTerrainIndices[visitor.edge.farFace] = _faceTerrainIndices[visitor.edge.nearFace];
visitor.VisitInternalNeighborsExceptSource();
},
_random);
_faceSeenStates = new bool[_topology.faces.Count].AsFaceAttribute();
_faceSightCounts = new int[_topology.faces.Count].AsFaceAttribute();
var triangulation = new SeparatedFacesUmbrellaTriangulation(2,
(Topology.FaceEdge edge, DynamicMesh.IIndexedVertexAttributes vertexAttributes) =>
{
var face = edge.nearFace;
var faceNormal = _faceNormals[face];
var gridOverlayU = GetGridOverlayU(false, _faceSeenStates[face], _faceSightCounts[face]);
vertexAttributes.position = _vertexPositions[edge];
vertexAttributes.normal = faceNormal;
vertexAttributes.uv1 = AdjustSurfaceUV(_faceOuterEdgeUVs[edge], _faceTerrainIndices[face]);
vertexAttributes.uv2 = new Vector2(gridOverlayU, 0f);
vertexAttributes.Advance();
vertexAttributes.position = _innerVertexPositions[edge];
vertexAttributes.normal = faceNormal;
vertexAttributes.uv1 = AdjustSurfaceUV(_faceInnerEdgeUVs[edge], _faceTerrainIndices[face]);
vertexAttributes.uv2 = new Vector2(gridOverlayU, 0.5f);
vertexAttributes.Advance();
},
(Topology.Face face, DynamicMesh.IIndexedVertexAttributes vertexAttributes) =>
{
vertexAttributes.position = _facePositions[face];
vertexAttributes.normal = _faceNormals[face];
vertexAttributes.uv1 = AdjustSurfaceUV(_faceCenterUVs[face], _faceTerrainIndices[face]);
vertexAttributes.uv2 = new Vector2(GetGridOverlayU(false, _faceSeenStates[face], _faceSightCounts[face]), 1f);
vertexAttributes.Advance();
});
_dynamicMesh = DynamicMesh.Create(
_topology.enumerableInternalFaces,
DynamicMesh.VertexAttributes.Position |
DynamicMesh.VertexAttributes.Normal |
DynamicMesh.VertexAttributes.UV1 |
DynamicMesh.VertexAttributes.UV2,
triangulation);
foreach (var mesh in _dynamicMesh.submeshes)
{
var meshObject = Instantiate(planetMeshPrefab);
meshObject.mesh = mesh;
meshObject.transform.SetParent(planetMeshes, false);
}
_faceUnits = new Transform[_topology.faces.Count].AsFaceAttribute();
for (int i = 0; i < unitCount; ++i)
{
Topology.Face face;
do
{
face = _topology.internalFaces[_random.Index(_topology.internalFaces.Count)];
} while (_faceTerrainIndices[face] == 1 || _faceUnits[face] != null);
var unit = Instantiate(unitPrefab);
unit.SetParent(units, false);
unit.transform.position = _facePositions[face] + _faceNormals[face] * 0.15f;
_faceUnits[face] = unit;
RevealUnitVicinity(face);
}
_dynamicMesh.RebuildMesh(DynamicMesh.VertexAttributes.UV2);
}
/// <summary>
/// Exports the given manifold to SVG format with the given style, flattening it onto a plane if necessary.
/// </summary>
/// <param name="writer">The writer to which the SVG-formatted manifold will be written.</param>
/// <param name="surface">The surface describing the manifold.</param>
/// <param name="topology">The topology of the manifold.</param>
/// <param name="orientation">The orientation of the plane to which the manifold will be flattened.</param>
/// <param name="scale">The scale which will be applied to the manifold while writing out SVG positions.</param>
/// <param name="vertexPositions">The vertex positions of the manifold.</param>
/// <param name="numericFormat">The format specifier to use for each number written to <paramref name="writer"/>.</param>
/// <param name="style">The style details to apply to the SVG content.</param>
public static void ExportToSVG(System.IO.TextWriter writer, ISurface surface, Topology topology, Quaternion orientation, Vector3 scale, IVertexAttribute <Vector3> vertexPositions, string numericFormat, SVGStyle style)
{
var inverseOrientation = Quaternion.Inverse(orientation);
var plane = new Plane(orientation * Vector3.back, 0f);
var transform = Matrix4x4.TRS(Vector3.zero, inverseOrientation, scale);
Vector2 transformedVertexDotRadius = new Vector2(style.vertexCircleRadius * transform.m00, style.vertexCircleRadius * transform.m11);
Func <Vector3, Vector2> flatten = (Vector3 point) => transform *plane.ClosestPoint(point);
Vector2 min = new Vector2(float.PositiveInfinity, float.PositiveInfinity);
Vector2 max = new Vector2(float.NegativeInfinity, float.NegativeInfinity);
foreach (var face in topology.faces)
{
foreach (var edge in face.edges)
{
var p = flatten(vertexPositions[edge]);
min = Geometry.AxisAlignedMin(min, p);
max = Geometry.AxisAlignedMax(max, p);
}
}
var range = max - min;
flatten = (Vector3 point) =>
{
Vector2 p = transform * plane.ClosestPoint(point);
p.y = max.y - p.y + min.y;
return(p);
};
writer.WriteLine("<svg viewBox=\"{0} {1} {2} {3}\" xmlns=\"http://www.w3.org/2000/svg\">",
(min.x - style.padding.x).ToString(numericFormat), (min.y - style.padding.y).ToString(numericFormat),
(range.x + style.padding.x * 2f).ToString(numericFormat), (range.y + style.padding.y * 2f).ToString(numericFormat));
writer.WriteLine("\t<style>");
writer.WriteLine("\t\tsvg");
writer.WriteLine("\t\t{");
if (!style.svg.ContainsKey("width"))
{
writer.WriteLine("\t\t\twidth: 100%;");
}
if (!style.svg.ContainsKey("height"))
{
writer.WriteLine("\t\t\theight: 100%;");
}
foreach (var keyValue in style.svg)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t\ttext.index");
writer.WriteLine("\t\t{");
foreach (var keyValue in style.index)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t\tellipse.vertex");
writer.WriteLine("\t\t{");
if (!style.vertexCircle.ContainsKey("stroke"))
{
writer.WriteLine("\t\t\tstroke: black;");
}
if (!style.vertexCircle.ContainsKey("stroke-width"))
{
writer.WriteLine("\t\t\tstroke-width: 1;");
}
if (!style.vertexCircle.ContainsKey("fill"))
{
writer.WriteLine("\t\t\tfill: none;");
}
foreach (var keyValue in style.vertexCircle)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t\ttext.vertex.index");
writer.WriteLine("\t\t{");
if (!style.vertexIndex.ContainsKey("fill"))
{
writer.WriteLine("\t\t\tfill: black;");
}
if (!style.vertexIndex.ContainsKey("font-size"))
{
writer.WriteLine("\t\t\tfont-size: {0:F0}px;", transformedVertexDotRadius.x);
}
if (!style.vertexIndex.ContainsKey("text-anchor"))
{
writer.WriteLine("\t\t\ttext-anchor: middle;");
}
if (!style.vertexIndex.ContainsKey("dominant-baseline"))
{
writer.WriteLine("\t\t\tdominant-baseline: central;");
}
foreach (var keyValue in style.vertexIndex)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t\tpolygon.face");
writer.WriteLine("\t\t{");
if (!style.facePolygon.ContainsKey("fill"))
{
writer.WriteLine("\t\t\tfill: #CCC;");
}
if (!style.facePolygon.ContainsKey("stroke"))
{
writer.WriteLine("\t\t\tstroke: none;");
}
foreach (var keyValue in style.facePolygon)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t\ttext.face.index");
writer.WriteLine("\t\t{");
if (!style.faceIndex.ContainsKey("fill"))
{
writer.WriteLine("\t\t\tfill: black;");
}
if (!style.faceIndex.ContainsKey("font-size"))
{
writer.WriteLine("\t\t\tfont-size: {0:F0}px;", transformedVertexDotRadius.x * 2f);
}
if (!style.faceIndex.ContainsKey("text-anchor"))
{
writer.WriteLine("\t\t\ttext-anchor: middle;");
}
if (!style.faceIndex.ContainsKey("dominant-baseline"))
{
writer.WriteLine("\t\t\tdominant-baseline: central;");
}
foreach (var keyValue in style.faceIndex)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t\tpolyline.edge");
writer.WriteLine("\t\t{");
if (!style.edgePath.ContainsKey("stroke"))
{
writer.WriteLine("\t\t\tstroke: black;");
}
if (!style.edgePath.ContainsKey("stroke-width"))
{
writer.WriteLine("\t\t\tstroke-width: 1;");
}
if (!style.edgePath.ContainsKey("stroke-linecap"))
{
writer.WriteLine("\t\t\tstroke-linecap: square;");
}
if (!style.edgePath.ContainsKey("stroke-linejoin"))
{
writer.WriteLine("\t\t\tstroke-linejoin: miter;");
}
if (!style.edgePath.ContainsKey("fill"))
{
writer.WriteLine("\t\t\tfill: none;");
}
foreach (var keyValue in style.edgePath)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t\ttext.edge.index");
writer.WriteLine("\t\t{");
if (!style.edgeIndex.ContainsKey("fill"))
{
writer.WriteLine("\t\t\tfill: black;");
}
if (!style.edgeIndex.ContainsKey("font-size"))
{
writer.WriteLine("\t\t\tfont-size: {0:F0}px;", style.edgeIndexOffset * Mathf.Sqrt(transform.m00 * transform.m11));
}
if (!style.edgeIndex.ContainsKey("text-anchor"))
{
writer.WriteLine("\t\t\ttext-anchor: middle;");
}
if (!style.edgeIndex.ContainsKey("dominant-baseline"))
{
writer.WriteLine("\t\t\tdominant-baseline: central;");
}
foreach (var keyValue in style.edgeIndex)
{
writer.WriteLine("\t\t\t{0}: {1};", keyValue.Key, keyValue.Value);
}
writer.WriteLine("\t\t}");
writer.WriteLine("\t</style>");
var facePointFormat = string.Format("{{0:{0}}},{{1:{0}}}", numericFormat);
var faceIndexFormat = string.Format("\t<text class=\"face index\" x=\"{{0:{0}}}\" y=\"{{1:{0}}}\">{{2}}</text>", numericFormat);
var arrowFormat = string.Format("\t<polyline class=\"edge{{6}}\" points=\"{{0:{0}}},{{1:{0}}} {{2:{0}}},{{3:{0}}} {{4:{0}}},{{5:{0}}}\" />", numericFormat);
var edgeIndexFormat = string.Format("\t<text class=\"edge index{{3}}\" x=\"{{0:{0}}}\" y=\"{{1:{0}}}\">{{2}}</text>", numericFormat);
var vertexFormat = string.Format("\t<ellipse class=\"vertex{{4}}\" cx=\"{{0:{0}}}\" cy=\"{{1:{0}}}\" rx=\"{{2:{0}}}\" ry=\"{{3:{0}}}\" />", numericFormat);
var vertexIndexFormat = string.Format("\t<text class=\"vertex index{{3}}\" x=\"{{0:{0}}}\" y=\"{{1:{0}}}\">{{2}}</text>", numericFormat);
var centroids = FaceAttributeUtility.CalculateFaceCentroidsFromVertexPositions(topology.internalFaces, vertexPositions);
var bisectors = EdgeAttributeUtility.CalculateFaceEdgeBisectorsFromVertexPositions(topology.internalFaces, surface, vertexPositions, centroids);
writer.WriteLine();
writer.WriteLine("\t<!-- Faces -->");
foreach (var face in topology.internalFaces)
{
writer.Write("\t<polygon class=\"face\" points=\"");
foreach (var edge in face.edges)
{
if (edge != face.firstEdge)
{
writer.Write(" ");
}
var p = flatten(vertexPositions[edge] + bisectors[edge] * style.faceInset);
writer.Write(facePointFormat, p.x, p.y);
}
writer.WriteLine("\" />");
if (style.showFaceIndices)
{
var p = flatten(centroids[face]);
writer.WriteLine(faceIndexFormat, p.x, p.y, face.index);
}
}
writer.WriteLine();
writer.WriteLine("\t<!-- Edges -->");
foreach (var face in topology.faces)
{
foreach (var edge in face.edges)
{
ExportEdgeToSVG(writer, surface, edge, edge.prev, edge, flatten, vertexPositions, arrowFormat, edgeIndexFormat, style, " not-wrapped");
if ((edge.wrap & EdgeWrap.FaceToFace) != EdgeWrap.None)
{
ExportEdgeToSVG(writer, surface, edge, edge.twin, edge.twin.vertexEdge.next.twin.faceEdge, flatten, vertexPositions, arrowFormat, edgeIndexFormat, style, " wrapped");
}
}
}
writer.WriteLine();
writer.WriteLine("\t<!-- Vertices -->");
foreach (var vertex in topology.vertices)
{
bool neitherAxis = false;
bool axis0 = false;
bool axis1 = false;
bool bothAxes = false;
foreach (var edge in vertex.edges)
{
var faceEdge = edge.twin.faceEdge;
var wrap = faceEdge.wrap & EdgeWrap.FaceToVert;
if (EdgeWrapUtility.WrapsOnNeitherAxis(wrap))
{
if (!neitherAxis)
{
neitherAxis = true;
ExportVertexToSVG(writer, vertex, faceEdge, flatten, vertexPositions, transformedVertexDotRadius, vertexFormat, vertexIndexFormat, style, " wrapped-neither");
}
}
else if (EdgeWrapUtility.WrapsOnOnlyAxis0(wrap))
{
if (!axis0)
{
axis0 = true;
ExportVertexToSVG(writer, vertex, faceEdge, flatten, vertexPositions, transformedVertexDotRadius, vertexFormat, vertexIndexFormat, style, " wrapped-axis-0");
}
}
else if (EdgeWrapUtility.WrapsOnOnlyAxis1(wrap))
{
if (!axis1)
{
axis1 = true;
ExportVertexToSVG(writer, vertex, faceEdge, flatten, vertexPositions, transformedVertexDotRadius, vertexFormat, vertexIndexFormat, style, " wrapped-axis-1");
}
}
else
{
if (!bothAxes)
{
bothAxes = true;
ExportVertexToSVG(writer, vertex, faceEdge, flatten, vertexPositions, transformedVertexDotRadius, vertexFormat, vertexIndexFormat, style, " wrapped-both");
}
}
}
}
writer.WriteLine("</svg>");
}
public void StartNewGame()
{
DestroyOldGame();
Vector3[] vertexPositionsArray;
if (squaresToggle.isOn)
{
IntVector2 boardSize;
if (smallToggle.isOn)
{
boardSize = new IntVector2(9, 9);
}
else if (mediumToggle.isOn)
{
boardSize = new IntVector2(13, 13);
}
else
{
boardSize = new IntVector2(19, 19);
}
_surface = RectangularQuadGrid.Create(Vector2.right, Vector2.up, Vector3.zero, Quaternion.identity, false, false, boardSize);
_topology = ((RectangularQuadGrid)_surface).CreateManifold(out vertexPositionsArray);
_vertexPositions = PositionalVertexAttribute.Create(_surface, vertexPositionsArray);
}
else if (hexesToggle.isOn)
{
IntVector2 boardSize;
if (smallToggle.isOn)
{
boardSize = new IntVector2(9, 9);
}
else if (mediumToggle.isOn)
{
boardSize = new IntVector2(13, 13);
}
else
{
boardSize = new IntVector2(19, 19);
}
_surface = RectangularHexGrid.Create(
HexGridDescriptor.CreateCornerUp(true, HexGridAxisStyles.StaggeredSymmetric),
Vector3.zero, Quaternion.identity,
false, false,
boardSize);
_topology = ((RectangularHexGrid)_surface).CreateManifold(out vertexPositionsArray);
_vertexPositions = PositionalVertexAttribute.Create(_surface, vertexPositionsArray);
}
else
{
IntVector2 boardSize;
if (smallToggle.isOn)
{
boardSize = new IntVector2(9, 9);
}
else if (mediumToggle.isOn)
{
boardSize = new IntVector2(13, 13);
}
else
{
boardSize = new IntVector2(19, 19);
}
_surface = RectangularHexGrid.Create(
HexGridDescriptor.CreateCornerUp(true, HexGridAxisStyles.StaggeredSymmetric),
Vector3.zero, Quaternion.identity,
false, false,
boardSize);
_topology = ((RectangularHexGrid)_surface).CreateManifold(out vertexPositionsArray);
_vertexPositions = PositionalVertexAttribute.Create(_surface, vertexPositionsArray);
var regularityWeight = 0.5f;
var equalAreaWeight = 1f - regularityWeight;
var regularityRelaxedVertexPositions = new Vector3[_topology.vertices.Count].AsVertexAttribute();
var equalAreaRelaxedVertexPositions = new Vector3[_topology.vertices.Count].AsVertexAttribute();
var relaxedVertexPositions = regularityRelaxedVertexPositions;
var faceCentroids = PositionalFaceAttribute.Create(_surface, _topology.internalFaces.Count);
var vertexAreas = new float[_topology.vertices.Count].AsVertexAttribute();
FaceAttributeUtility.CalculateFaceCentroidsFromVertexPositions(_topology.internalFaces, _vertexPositions, faceCentroids);
VertexAttributeUtility.CalculateVertexAreasFromVertexPositionsAndFaceCentroids(_topology.vertices, _vertexPositions, faceCentroids, vertexAreas);
var totalArea = 0f;
foreach (var vertexArea in vertexAreas)
{
totalArea += vertexArea;
}
Func <float> relaxIterationFunction = () =>
{
PlanarManifoldUtility.RelaxVertexPositionsForRegularity(_topology, _vertexPositions, true, regularityRelaxedVertexPositions);
PlanarManifoldUtility.RelaxVertexPositionsForEqualArea(_topology, _vertexPositions, totalArea, true, equalAreaRelaxedVertexPositions, faceCentroids, vertexAreas);
for (int i = 0; i < relaxedVertexPositions.Count; ++i)
{
relaxedVertexPositions[i] = regularityRelaxedVertexPositions[i] * regularityWeight + equalAreaRelaxedVertexPositions[i] * equalAreaWeight;
}
var relaxationAmount = PlanarManifoldUtility.CalculateRelaxationAmount(_vertexPositions, relaxedVertexPositions);
for (int i = 0; i < _vertexPositions.Count; ++i)
{
_vertexPositions[i] = relaxedVertexPositions[i];
}
return(relaxationAmount);
};
Func <bool> repairFunction = () =>
{
return(PlanarManifoldUtility.ValidateAndRepair(_topology, _surface.normal, _vertexPositions, 0.5f, true));
};
Action relaxationLoopFunction = TopologyRandomizer.CreateRelaxationLoopFunction(20, 20, 0.95f, relaxIterationFunction, repairFunction);
TopologyRandomizer.Randomize(
_topology, 1, 0.1f,
3, 3, 5, 7, true,
_random,
relaxationLoopFunction);
}
_facePositions = PositionalFaceAttribute.Create(_surface, _topology.internalFaces.Count);
FaceAttributeUtility.CalculateFaceCentroidsFromVertexPositions(_topology.internalFaces, _vertexPositions, _facePositions);
_innerAngleBisectors = EdgeAttributeUtility.CalculateFaceEdgeBisectorsFromVertexPositions(_topology.internalFaces, PlanarSurface.Create(Vector3.zero, Quaternion.identity), _vertexPositions);
_faceBoardStates = new BoardState[_topology.internalFaces.Count].AsFaceAttribute();
foreach (var face in _topology.internalFaces)
{
_faceBoardStates[face] = BoardState.Empty;
}
_facePieces = new Transform[_topology.internalFaces.Count].AsFaceAttribute();
_partitioning = UniversalFaceSpatialPartitioning.Create(_surface, _topology, _vertexPositions);
_picker.partitioning = _partitioning;
_picker.enabled = true;
var centerVertexNormal = _surface.normal.normalized;
var triangulation = new SeparatedFacesUmbrellaTriangulation(2,
(Topology.FaceEdge edge, DynamicMesh.IIndexedVertexAttributes vertexAttributes) =>
{
vertexAttributes.position = _vertexPositions[edge];
vertexAttributes.normal = (_vertexPositions[edge] + _surface.normal * 5f - _facePositions[edge.nearFace]).normalized;
vertexAttributes.uv = new Vector2(0.25f, 0f);
vertexAttributes.Advance();
vertexAttributes.position = _vertexPositions[edge] + _innerAngleBisectors[edge] * 0.05f;
vertexAttributes.normal = (vertexAttributes.position + _surface.normal * 5f - _facePositions[edge.nearFace]).normalized;
vertexAttributes.uv = new Vector2(0.25f, 0.5f);
vertexAttributes.Advance();
},
(Topology.Face face, DynamicMesh.IIndexedVertexAttributes vertexAttributes) =>
{
vertexAttributes.position = _facePositions[face];
vertexAttributes.normal = centerVertexNormal;
vertexAttributes.uv = new Vector2(0.25f, 1f);
vertexAttributes.Advance();
});
_dynamicMesh = DynamicMesh.Create(
_topology.enumerableInternalFaces,
DynamicMesh.VertexAttributes.Position |
DynamicMesh.VertexAttributes.Normal |
DynamicMesh.VertexAttributes.UV,
triangulation);
foreach (var mesh in _dynamicMesh.submeshes)
{
var meshObject = Instantiate(meshFilterRendererPrefab);
meshObject.mesh = mesh;
meshObject.transform.SetParent(gameBoardMeshes);
}
_gameBoardBounds = new Bounds(Vector3.zero, Vector3.zero);
foreach (var vertex in _topology.vertices)
{
_gameBoardBounds.Encapsulate(_vertexPositions[vertex]);
}
AdjustCamera();
var pickerCollider = GetComponent <BoxCollider>();
pickerCollider.center = _gameBoardBounds.center;
pickerCollider.size = _gameBoardBounds.size;
_whiteCount = 0;
_blackCount = 0;
_moveCount = 0;
whiteCountText.text = _whiteCount.ToString();
blackCountText.text = _blackCount.ToString();
_gameActive = true;
_turn = BoardState.Black;
}
