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 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 Icosahedron(float radius)
{
float magicAngle = Mathf.PI * 26.56505f / 180;
float segmentAngle = Mathf.PI * 72 / 180;
float currentAngle = 0f;
var upperRing = new List <Vector3>(5);
for (var i = 0; i < 5; i++)
{
upperRing.Add(PTUtils.PointOnSphere(radius, currentAngle, magicAngle));
currentAngle -= segmentAngle;
}
currentAngle = segmentAngle / 2;
var lowerRing = new List <Vector3>(5);
for (var i = 0; i < 5; i++)
{
lowerRing.Add(PTUtils.PointOnSphere(radius, currentAngle, -magicAngle));
currentAngle -= segmentAngle;
}
var draft = BaselessPyramid(new Vector3(0, -radius, 0), lowerRing);
draft.Add(FlatBand(lowerRing, upperRing));
upperRing.Reverse();
draft.Add(BaselessPyramid(new Vector3(0, radius, 0), upperRing));
draft.name = "Icosahedron";
return(draft);
}
/// <summary>
/// Reverses winding order of mesh triangles
/// </summary>
public static void FlipTriangles(this Mesh mesh)
{
for (int i = 0; i < mesh.subMeshCount; i++)
{
var triangles = mesh.GetTriangles(i);
for (int j = 0; j < triangles.Length; j += 3)
{
PTUtils.Swap(ref triangles[j], ref triangles[j + 1]);
}
mesh.SetTriangles(triangles, i);
}
}
public static MeshDraft Sphere(float radius, int longitudeSegments, int latitudeSegments)
{
var draft = new MeshDraft {
name = "Sphere"
};
float longitudeSegmentAngle = Mathf.PI * 2 / longitudeSegments;
float latitudeSegmentAngle = Mathf.PI / latitudeSegments;
float currentLatitude = -Mathf.PI / 2;
for (var ring = 0; ring <= latitudeSegments; ring++)
{
var currentLongitude = 0f;
for (int i = 0; i < longitudeSegments; i++)
{
var point = PTUtils.PointOnSphere(radius, currentLongitude, currentLatitude);
draft.vertices.Add(point);
draft.normals.Add(point.normalized);
draft.uv.Add(new Vector2((float)i / longitudeSegments, (float)ring / latitudeSegments));
currentLongitude -= longitudeSegmentAngle;
}
currentLatitude += latitudeSegmentAngle;
}
int i0, i1, i2, i3;
for (int ring = 0; ring < latitudeSegments; ring++)
{
for (int i = 0; i < longitudeSegments - 1; i++)
{
i0 = ring * longitudeSegments + i;
i1 = (ring + 1) * longitudeSegments + i;
i2 = ring * longitudeSegments + i + 1;
i3 = (ring + 1) * longitudeSegments + i + 1;
draft.triangles.AddRange(new[] { i0, i1, i2 });
draft.triangles.AddRange(new[] { i2, i1, i3 });
}
i0 = (ring + 1) * longitudeSegments - 1;
i1 = (ring + 2) * longitudeSegments - 1;
i2 = ring * longitudeSegments;
i3 = (ring + 1) * longitudeSegments;
draft.triangles.AddRange(new[] { i0, i1, i2 });
draft.triangles.AddRange(new[] { i2, i1, i3 });
}
return(draft);
}
public static MeshDraft Dodecahedron(float radius)
{
float magicAngle1 = Mathf.PI * 52.62263590f / 180;
float magicAngle2 = Mathf.PI * 10.81231754f / 180;
float segmentAngle = Mathf.PI * 2 / 5;
float currentAngle = 0f;
var lowerCap = new List <Vector3>();
var lowerRing = new List <Vector3>();
for (var i = 0; i <= 5; i++)
{
lowerCap.Add(PTUtils.PointOnSphere(radius, currentAngle, -magicAngle1));
lowerRing.Add(PTUtils.PointOnSphere(radius, currentAngle, -magicAngle2));
currentAngle -= segmentAngle;
}
currentAngle = -segmentAngle / 2;
var upperCap = new List <Vector3>();
var upperRing = new List <Vector3>();
for (var i = 0; i <= 5; i++)
{
upperCap.Add(PTUtils.PointOnSphere(radius, currentAngle, magicAngle1));
upperRing.Add(PTUtils.PointOnSphere(radius, currentAngle, magicAngle2));
currentAngle -= segmentAngle;
}
var draft = TriangleFan(lowerCap);
draft.Add(FlatBand(lowerCap, lowerRing));
draft.Add(FlatBand(lowerRing, upperRing));
draft.Add(FlatBand(upperRing, upperCap));
upperCap.Reverse();
draft.Add(TriangleFan(upperCap));
draft.name = "Dodecahedron";
return(draft);
}
public static MeshDraft Cylinder(float radius, int segments, float heignt)
{
float segmentAngle = Mathf.PI * 2 / segments;
float currentAngle = 0f;
var lowerRing = new List <Vector3>(segments);
var upperRing = new List <Vector3>(segments);
for (var i = 0; i < segments; i++)
{
var point = PTUtils.PointOnCircle3(radius, currentAngle);
lowerRing.Add(point - Vector3.up * heignt / 2);
upperRing.Add(point + Vector3.up * heignt / 2);
currentAngle -= segmentAngle;
}
var draft = TriangleFan(lowerRing);
draft.Add(Band(lowerRing, upperRing));
upperRing.Reverse();
draft.Add(TriangleFan(upperRing));
draft.name = "Cylinder";
return(draft);
}
public static MeshDraft Tetrahedron(float radius)
{
float tetrahedralAngle = Mathf.PI * -19.471220333f / 180;
float segmentAngle = Mathf.PI * 2 / 3;
float currentAngle = 0f;
var vertices = new List <Vector3>(4)
{
new Vector3(0, radius, 0)
};
for (var i = 1; i < 4; i++)
{
vertices.Add(PTUtils.PointOnSphere(radius, currentAngle, tetrahedralAngle));
currentAngle += segmentAngle;
}
var draft = Triangle(vertices[0], vertices[1], vertices[2]);
draft.Add(Triangle(vertices[1], vertices[3], vertices[2]));
draft.Add(Triangle(vertices[0], vertices[2], vertices[3]));
draft.Add(Triangle(vertices[0], vertices[3], vertices[1]));
draft.name = "Tetrahedron";
return(draft);
}
/// <summary>
/// Draws filled circle on texture using Bresenham's algorithm
/// </summary>
public static void DrawFilledCircle(this Texture2D texture, int centerX, int centerY, int radius, Color color)
{
PTUtils.DrawFilledCircle(centerX, centerY, radius, (x, y) => texture.SetPixel(x, y, color));
}
/// <summary>
/// Draws circle on texture
/// </summary>
public static void DrawCircle(this Texture2D texture, Vector2Int center, int radius, Color color)
{
PTUtils.DrawCircle(center, radius, (x, y) => texture.SetPixel(x, y, color));
}
/// <summary>
/// Draws anti-aliased line on texture
/// </summary>
public static void DrawAALine(this Texture2D texture, int x0, int y0, int x1, int y1, Color color)
{
PTUtils.DrawAALine(x0, y0, x1, y1,
(x, y, t) => texture.SetPixel(x, y, Color.Lerp(texture.GetPixel(x, y), color, t)));
}
/// <summary>
/// Draws anti-aliased line on texture
/// </summary>
public static void DrawAALine(this Texture2D texture, Vector2Int v0, Vector2Int v1, Color color)
{
PTUtils.DrawAALine(v0, v1,
(x, y, t) => texture.SetPixel(x, y, Color.Lerp(texture.GetPixel(x, y), color, t)));
}
/// <summary>
/// Draws line on texture
/// </summary>
public static void DrawLine(this Texture2D texture, int x0, int y0, int x1, int y1, Color color)
{
PTUtils.DrawLine(x0, y0, x1, y1, (x, y) => texture.SetPixel(x, y, color));
}
/// <summary>
/// Draws line on texture
/// </summary>
public static void DrawLine(this Texture2D texture, Vector2Int v0, Vector2Int v1, Color color)
{
PTUtils.DrawLine(v0, v1, (x, y) => texture.SetPixel(x, y, color));
}