public static MeshDraft BaselessPyramid(Vector3 baseCenter, Vector3 apex, float radius, int segments,
bool inverted = false)
{
float segmentAngle = Mathf.PI * 2 / segments * (inverted ? -1 : 1);
float currentAngle = 0f;
var vertices = new Vector3[segments + 1];
vertices[0] = apex;
for (var i = 1; i <= segments; i++)
{
vertices[i] = PTUtils.PointOnCircle3(radius, currentAngle) + baseCenter;
currentAngle += segmentAngle;
}
var draft = new MeshDraft {
name = "BaselessPyramid"
};
for (var i = 1; i < segments; i++)
{
draft.Add(Triangle(vertices[0], vertices[i], vertices[i + 1]));
}
draft.Add(Triangle(vertices[0], vertices[vertices.Length - 1], vertices[1]));
return(draft);
}
public static MeshDraft BaselessPyramid(Vector3 apex, List <Vector3> ring)
{
var draft = new MeshDraft {
name = "BaselessPyramid"
};
for (var i = 0; i < ring.Count - 1; i++)
{
draft.Add(Triangle(apex, ring[i], ring[i + 1]));
}
draft.Add(Triangle(apex, ring[ring.Count - 1], ring[0]));
return(draft);
}
public static MeshDraft FlatSphere(float radius, int longitudeSegments, int latitudeSegments)
{
float longitudeSegmentAngle = Mathf.PI * 2 / longitudeSegments;
float latitudeSegmentAngle = Mathf.PI / latitudeSegments;
float currentLatitude = -Mathf.PI / 2;
var rings = new List <List <Vector3> >(latitudeSegments);
for (var i = 0; i <= latitudeSegments; i++)
{
var currentLongitude = 0f;
var ring = new List <Vector3>(longitudeSegments);
for (int j = 0; j < longitudeSegments; j++)
{
ring.Add(PTUtils.PointOnSphere(radius, currentLongitude, currentLatitude));
currentLongitude -= longitudeSegmentAngle;
}
rings.Add(ring);
currentLatitude += latitudeSegmentAngle;
}
var draft = new MeshDraft {
name = "Flat sphere"
};
for (int i = 0; i < rings.Count - 1; i++)
{
draft.Add(FlatBand(rings[i], rings[i + 1]));
}
return(draft);
}
/// <summary>
/// Constructs partial hexahedron aka cube with specified faces
/// </summary>
public static MeshDraft Hexahedron(Vector3 width, Vector3 length, Vector3 height, Directions parts)
{
Vector3 corner0 = -width / 2 - length / 2 - height / 2;
Vector3 corner1 = width / 2 + length / 2 + height / 2;
var draft = new MeshDraft {
name = "Hexahedron"
};
if ((parts & Directions.Left) == Directions.Left)
{
draft.Add(Quad(corner0, height, length));
}
if ((parts & Directions.Right) == Directions.Right)
{
draft.Add(Quad(corner1, -length, -height));
}
if ((parts & Directions.Down) == Directions.Down)
{
draft.Add(Quad(corner0, length, width));
}
if ((parts & Directions.Up) == Directions.Up)
{
draft.Add(Quad(corner1, -width, -length));
}
if ((parts & Directions.Back) == Directions.Back)
{
draft.Add(Quad(corner0, width, height));
}
if ((parts & Directions.Forward) == Directions.Forward)
{
draft.Add(Quad(corner1, -height, -width));
}
return(draft);
}
public static MeshDraft FlatBand(List <Vector3> lowerRing, List <Vector3> upperRing)
{
var draft = new MeshDraft {
name = "Flat band"
};
if (lowerRing.Count < 3 || upperRing.Count < 3)
{
Debug.LogError("Array sizes must be greater than 2");
return(draft);
}
if (lowerRing.Count != upperRing.Count)
{
Debug.LogError("Array sizes must be equal");
return(draft);
}
Vector3 v0, v1, v2, v3;
for (int i = 0; i < lowerRing.Count - 1; i++)
{
v0 = lowerRing[i];
v1 = upperRing[i];
v2 = lowerRing[i + 1];
v3 = upperRing[i + 1];
draft.Add(Triangle(v0, v1, v2));
draft.Add(Triangle(v2, v1, v3));
}
v0 = lowerRing[lowerRing.Count - 1];
v1 = upperRing[upperRing.Count - 1];
v2 = lowerRing[0];
v3 = upperRing[0];
draft.Add(Triangle(v0, v1, v2));
draft.Add(Triangle(v2, v1, v3));
return(draft);
}
public static MeshDraft FlatRevolutionSurface(
Func <float, float, float, float, Vector3> surfaceFunction,
float radius,
float height,
int horizontalSegments,
int verticalSegments)
{
float horizontalSegmentAngle = 360f / horizontalSegments;
float verticalSegmentAngle = 180f / verticalSegments;
float currentVerticalAngle = -90;
var rings = new List <List <Vector3> >(verticalSegments);
for (int i = 0; i <= verticalSegments; i++)
{
float currentHorizontalAngle = 0f;
var ring = new List <Vector3>(horizontalSegments);
for (int j = 0; j < horizontalSegments; j++)
{
ring.Add(surfaceFunction(radius, height, currentHorizontalAngle, currentVerticalAngle));
currentHorizontalAngle -= horizontalSegmentAngle;
}
rings.Add(ring);
currentVerticalAngle += verticalSegmentAngle;
}
var draft = new MeshDraft {
name = "Flat revolution surface"
};
for (int i = 0; i < rings.Count - 1; i++)
{
draft.Add(FlatBand(rings[i], rings[i + 1]));
}
return(draft);
}
public static MeshDraft FlatRevolutionSurface(
Func <float, float, float, float, Vector3> surfaceFunction,
float radius,
float height,
int longitudeSegments,
int latitudeSegments)
{
float longitudeSegmentAngle = 360f / longitudeSegments;
float latitudeSegmentAngle = 180f / latitudeSegments;
float currentLatitude = -90;
var rings = new List <List <Vector3> >(latitudeSegments);
for (int i = 0; i <= latitudeSegments; i++)
{
var currentLongitude = 0f;
var ring = new List <Vector3>(longitudeSegments);
for (int j = 0; j < longitudeSegments; j++)
{
ring.Add(surfaceFunction(radius, height, currentLongitude, currentLatitude));
currentLongitude -= longitudeSegmentAngle;
}
rings.Add(ring);
currentLatitude += latitudeSegmentAngle;
}
var draft = new MeshDraft {
name = "Flat revolution surface"
};
for (int i = 0; i < rings.Count - 1; i++)
{
draft.Add(FlatBand(rings[i], rings[i + 1]));
}
return(draft);
}
public static MeshDraft BaselessPyramid(Vector3 baseCenter, Vector3 apex, float radius, int segments,
bool inverted = false)
{
float segmentAngle = Mathf.PI*2/segments*(inverted ? -1 : 1);
float currentAngle = 0f;
var vertices = new Vector3[segments + 1];
vertices[0] = apex;
for (var i = 1; i <= segments; i++)
{
vertices[i] = PTUtils.PointOnCircle3(radius, currentAngle) + baseCenter;
currentAngle += segmentAngle;
}
var draft = new MeshDraft {name = "BaselessPyramid"};
for (var i = 1; i < segments; i++)
{
draft.Add(Triangle(vertices[0], vertices[i], vertices[i + 1]));
}
draft.Add(Triangle(vertices[0], vertices[vertices.Length - 1], vertices[1]));
return draft;
}
/// <summary>
/// Constructs partial hexahedron aka cube with specified faces
/// </summary>
public static MeshDraft Hexahedron(Vector3 width, Vector3 length, Vector3 height, Directions parts)
{
Vector3 corner0 = -width/2 - length/2 - height/2;
Vector3 corner1 = width/2 + length/2 + height/2;
var draft = new MeshDraft {name = "Hexahedron"};
if ((parts & Directions.Left) == Directions.Left)
{
draft.Add(Quad(corner0, height, length));
}
if ((parts & Directions.Right) == Directions.Right)
{
draft.Add(Quad(corner1, -length, -height));
}
if ((parts & Directions.Down) == Directions.Down)
{
draft.Add(Quad(corner0, length, width));
}
if ((parts & Directions.Up) == Directions.Up)
{
draft.Add(Quad(corner1, -width, -length));
}
if ((parts & Directions.Back) == Directions.Back)
{
draft.Add(Quad(corner0, width, height));
}
if ((parts & Directions.Forward) == Directions.Forward)
{
draft.Add(Quad(corner1, -height, -width));
}
return draft;
}
public static MeshDraft FlatSphere(float radius, int longitudeSegments, int latitudeSegments)
{
float longitudeSegmentAngle = Mathf.PI*2/longitudeSegments;
float latitudeSegmentAngle = Mathf.PI/latitudeSegments;
float currentLatitude = -Mathf.PI/2;
var rings = new List<List<Vector3>>(latitudeSegments);
for (var i = 0; i <= latitudeSegments; i++)
{
var currentLongitude = 0f;
var ring = new List<Vector3>(longitudeSegments);
for (int j = 0; j < longitudeSegments; j++)
{
ring.Add(PTUtils.PointOnSphere(radius, currentLongitude, currentLatitude));
currentLongitude -= longitudeSegmentAngle;
}
rings.Add(ring);
currentLatitude += latitudeSegmentAngle;
}
var draft = new MeshDraft {name = "Flat sphere"};
for (int i = 0; i < rings.Count - 1; i++)
{
draft.Add(FlatBand(rings[i], rings[i + 1]));
}
return draft;
}
public static MeshDraft FlatBand(List<Vector3> lowerRing, List<Vector3> upperRing)
{
var draft = new MeshDraft {name = "Flat band"};
if (lowerRing.Count < 3 || upperRing.Count < 3)
{
Debug.LogError("Array sizes must be greater than 2");
return draft;
}
if (lowerRing.Count != upperRing.Count)
{
Debug.LogError("Array sizes must be equal");
return draft;
}
Vector3 v0, v1, v2, v3;
for (int i = 0; i < lowerRing.Count - 1; i++)
{
v0 = lowerRing[i];
v1 = upperRing[i];
v2 = lowerRing[i + 1];
v3 = upperRing[i + 1];
draft.Add(Triangle(v0, v1, v2));
draft.Add(Triangle(v2, v1, v3));
}
v0 = lowerRing[lowerRing.Count - 1];
v1 = upperRing[upperRing.Count - 1];
v2 = lowerRing[0];
v3 = upperRing[0];
draft.Add(Triangle(v0, v1, v2));
draft.Add(Triangle(v2, v1, v3));
return draft;
}
public static MeshDraft BaselessPyramid(Vector3 apex, List<Vector3> ring)
{
var draft = new MeshDraft {name = "BaselessPyramid"};
for (var i = 0; i < ring.Count - 1; i++)
{
draft.Add(Triangle(apex, ring[i], ring[i + 1]));
}
draft.Add(Triangle(apex, ring[ring.Count - 1], ring[0]));
return draft;
}