public virtual void ApplySpaceWarp(SpaceWarp warp)
{
foreach (Vertex v in vertices)
{
v.p = warp.Evaluate(v.p);
}
}
public override void ApplySpaceWarp(SpaceWarp warp)
{
base.ApplySpaceWarp(warp);
foreach (SurfaceComponentGeometry surfaceComponent in surfaceComponents.Values)
{
surfaceComponent.ApplySpaceWarp(warp);
}
}
public override void ApplySpaceWarp(SpaceWarp warp)
{
foreach (Halfedge e in new List <Halfedge>(normals.Keys))
{
normals[e] = warp.EvaluateNormal(e.vertex.p, normals[e]);
}
foreach (Halfedge e in new List <Halfedge>(tangents.Keys))
{
tangents[e] = warp.EvaluateTangent(e.vertex.p, tangents[e]);
}
base.ApplySpaceWarp(warp);
}
public static SurfaceComponentGeometry CreateSphereSideGeometry(
float radius, float angleTop, float angleBottom, int segmentP, int segmentH, float cutAngle = 0, int surfaceGroup = 0, RenderGeometry.FaceType faceType = RenderGeometry.FaceType.Smooth)
{
SurfaceComponentGeometry geometry = CreatePlaneGeometry(1, 1, segmentH, segmentP, 1, faceType);
SpaceWarp warp = new SpaceWarp(
$" th={angleTop}+(x+0.5)*{angleBottom - angleTop}",
$" phi=(z+0.5)*(2*PI-{cutAngle})",
$" X={radius}*sin(th)*cos(phi)",
$" Y={radius}*cos(th)",
$" Z={radius}*sin(th)*sin(phi)");
geometry.ApplySpaceWarp(warp);
return(geometry);
}
public static SurfaceComponentGeometry CreateConeSideGeometry(
float radiusBottom, float radiusTop, float height, int segmentP, int segmentH, float cutAngle = 0, bool flipped = false, int surfaceGroup = 0, RenderGeometry.FaceType faceType = RenderGeometry.FaceType.Smooth)
{
SurfaceComponentGeometry geometry = CreatePlaneGeometry(1, 1, segmentH, segmentP, 1, faceType);
SpaceWarp warp = new SpaceWarp(
$" phi=(z+0.5)*(2*PI-{cutAngle})",
$" r={(radiusBottom + radiusTop) / 2}+x*{radiusBottom - radiusTop}",
$" X=r*cos(phi)",
$" Y={(flipped ? height : -height)}*x",
$" Z=r*sin(phi)");
geometry.ApplySpaceWarp(warp);
return(geometry);
}
public static RenderGeometry CreateConeGeometry(float radius, float height, int segmentP, int segmentH, bool smoothH, bool smoothV, float cutTop = 0, float cutAngle = 0)
{
if (cutTop == 0)
{
StructureGeometry structure = new StructureGeometry();
RenderGeometry.FaceType faceType = GetFaceType(smoothH, smoothV);
SurfaceComponentGeometry coneCap = SurfaceComponentGeometries.CreateConeCapGeometry(radius, height, segmentP, segmentH, cutAngle, 1, faceType);
if (cutAngle == 0)
{
SurfaceComponentGeometry bottom = SurfaceComponentGeometries.CreateRegularPolygonGeometry(radius, segmentP, 2);
bottom.ApplyRotation(Quaternion.AngleAxis(180, Vector3.right));
Vertex corner = structure.CreateVertex();
structure.CreateFace(coneCap, false, corner);
structure.CreateFace(bottom, false, corner);
}
else
{
SurfaceComponentGeometry bottom = SurfaceComponentGeometries.CreateFanCapGeometry(radius, segmentP, 1, cutAngle, 2);
SurfaceComponentGeometry wall1 = SurfaceComponentGeometries.CreateTriangleGeometry(1, 1, 0, segmentH, true, 3);
SurfaceComponentGeometry wall2 = SurfaceComponentGeometries.CreateTriangleGeometry(1, 1, 0, segmentH, true, 4);
Vertex cornerUp = structure.CreateVertex(new Vector3(0, height, 0));
Vertex cornerDownC = structure.CreateVertex(Vector3.zero);
Vertex cornerDown1 = structure.CreateVertex(new Vector3(radius * Mathf.Cos(cutAngle), 0, -radius * Mathf.Sin(cutAngle)));
Vertex cornerDown2 = structure.CreateVertex(new Vector3(radius, 0, 0));
structure.CreateFace(coneCap, true, cornerDown1, cornerDown2, cornerUp);
structure.CreateFace(bottom, true, cornerDown2, cornerDown1, cornerDownC);
structure.CreateFace(wall1, true, cornerDown1, cornerUp, cornerDownC);
structure.CreateFace(wall2, true, cornerDownC, cornerUp, cornerDown2);
}
return(structure.Build());
}
else
{
RenderGeometry geometry = CreateCylinderGeometry(radius, height, segmentP, segmentH, smoothH, smoothV, cutAngle);
geometry.ApplyOffset(Vector3.up * (height / 2));
float shrinkCoeff = (1 - cutTop) / height;
SpaceWarp warp = new SpaceWarp($"x*(1-y*{shrinkCoeff})", "y", $"z*(1-y*{shrinkCoeff})");
geometry.ApplySpaceWarp(warp);
return(geometry);
}
}
public static RenderGeometry CreateSpringGeometry(float ringRadius, float barRadius, float heightPerCycle, int segmentPerCycle, int segmentBar, bool smoothH, bool smoothV, float angle = 0, float deltaAngle = 0)
{
StructureGeometry structure = new StructureGeometry();
RenderGeometry.FaceType faceType = GetFaceType(smoothH, smoothV);
float heightPerRad = heightPerCycle / (2 * Mathf.PI);
float slope = heightPerRad / ringRadius;
float scaleH = Mathf.Sqrt(1 + slope * slope);
int segmentRing = Mathf.CeilToInt(segmentPerCycle * angle / (2 * Mathf.PI) - 1e-6f);
SurfaceComponentGeometry face = SurfaceComponentGeometries.CreatePlaneGeometry(1, 1, segmentBar, segmentRing, 1, faceType);
var warp = new SpaceWarp(
$" a1=(z+0.5)*{angle}",
$" a2={deltaAngle}-x*(2*PI)",
$" r={ringRadius}+{barRadius}*cos(a2)",
$" X=r*cos(a1)",
$" Y={scaleH}*{barRadius}*sin(a2)+a1*{heightPerRad}",
$" Z=r*sin(a1)"
);
face.ApplySpaceWarp(warp);
SurfaceComponentGeometry cap1 = SurfaceComponentGeometries.CreateRegularPolygonGeometry(barRadius, segmentBar, 2);
SurfaceComponentGeometry cap2 = SurfaceComponentGeometries.CreateRegularPolygonGeometry(barRadius, segmentBar, 2);
cap1.ApplyLinearTransform(
Matrix4x4.Translate(Vector3.right * ringRadius) *
Matrix4x4.Scale(new Vector3(1, scaleH, 1)) *
Matrix4x4.Rotate(Quaternion.LookRotation(Vector3.down, Vector3.back) * Quaternion.AngleAxis(-deltaAngle * Mathf.Rad2Deg, Vector3.up)));
cap2.ApplyLinearTransform(
Matrix4x4.Translate(new Vector3(ringRadius * Mathf.Cos(angle), heightPerRad * angle, ringRadius * Mathf.Sin(angle))) *
Matrix4x4.Scale(new Vector3(1, scaleH, 1)) *
Matrix4x4.Rotate(Quaternion.LookRotation(Vector3.up, Quaternion.AngleAxis(angle * Mathf.Rad2Deg, Vector3.down) * Vector3.forward) * Quaternion.AngleAxis(deltaAngle * Mathf.Rad2Deg, Vector3.up)));
Vertex corner1 = structure.CreateVertex();
Vertex corner2 = structure.CreateVertex();
structure.CreateFace(face, false, corner1, corner2, corner2, corner1);
structure.CreateFace(cap1, false, corner1);
structure.CreateFace(cap2, false, corner2);
return(structure.Build());
}
public static RenderGeometry CreateTorusGeometry(float ringRadius, float barRadius, int segmentRing, int segmentBar, bool smoothH, bool smoothV, float cutAngle = 0, float deltaAngle = 0)
{
StructureGeometry structure = new StructureGeometry();
RenderGeometry.FaceType faceType = GetFaceType(smoothH, smoothV);
SurfaceComponentGeometry face = SurfaceComponentGeometries.CreatePlaneGeometry(1, 1, segmentBar, segmentRing, 1, faceType);
var warp = new SpaceWarp(
$" a1=(z+0.5)*(2*PI-{cutAngle})",
$" a2={deltaAngle}-x*(2*PI)",
$" r={ringRadius}+{barRadius}*cos(a2)",
$" X=r*cos(a1)",
$" Y={barRadius}*sin(a2)",
$" Z=r*sin(a1)"
);
face.ApplySpaceWarp(warp);
if (cutAngle == 0)
{
Vertex corner = structure.CreateVertex();
structure.CreateFace(face, false, corner, corner, corner, corner);
}
else
{
SurfaceComponentGeometry cap1 = SurfaceComponentGeometries.CreateRegularPolygonGeometry(barRadius, segmentBar, 2);
SurfaceComponentGeometry cap2 = SurfaceComponentGeometries.CreateRegularPolygonGeometry(barRadius, segmentBar, 2);
cap1.ApplyRotation(Quaternion.LookRotation(Vector3.down, Vector3.back) * Quaternion.AngleAxis(-deltaAngle, Vector3.up));
cap1.ApplyOffset(Vector3.right * ringRadius);
cap2.ApplyRotation(Quaternion.LookRotation(Vector3.up, Quaternion.AngleAxis(cutAngle * Mathf.Rad2Deg, Vector3.up) * Vector3.forward) * Quaternion.AngleAxis(deltaAngle * Mathf.Rad2Deg, Vector3.up));
cap2.ApplyOffset(new Vector3(ringRadius * Mathf.Cos(cutAngle), 0, -ringRadius * Mathf.Sin(cutAngle)));
Vertex corner1 = structure.CreateVertex();
Vertex corner2 = structure.CreateVertex();
structure.CreateFace(face, false, corner1, corner2, corner2, corner1);
structure.CreateFace(cap1, false, corner1);
structure.CreateFace(cap2, false, corner2);
}
return(structure.Build());
}
