Perlin Noise: how do I make a tileable map - c#

I'm experimenting with Perlin Noise in C#. I managed to create a working 2D map generator.
But now I want to make my noise tileable. I want that the right edge of the map fits in the left edge of the map.
I'vw been searching for this on the internet and I have tried different things but I could not get it to work. Is there someone who knows a formula for this?
Here is my code:
public float[,] GenerateNoise(float[,] map, int xsize ,int ysize ,float scale, int seed,
int octaves, float persistance,float lacunarity)
{
Random rnd = new Random(seed);
float offsetX = rnd.Next(0, 100000);
float offsetY = rnd.Next(0, 100000);
if (scale <= 0)
{
scale = 0.0001f;
}
float minNoiseHeight = float.MinValue;
float maxNoiseHeight = float.MaxValue;
float[,] fallmap;
//fallmap = FalloffGenerator.GenerateFalloffMap(xsize);
Perlin Noise = new Perlin();
//perlin noise
for (int y = 0; y <= ysize - 1; y++)
{
for (int x = 0; x <= xsize - 1; x++)
{
float amplitude = 1f;
float frequency = 1f;
float noiseHeight = 0;
for (int i = 0; i < octaves; i++)
{
float sampleX = (xsize - x) / scale * frequency + offsetX;
float sampleY = (ysize - y) / scale * frequency + offsetY;
float PerlinValue = (float)Noise.perlin(sampleX, sampleY, 0) * 2 - 1;
map[x, y] = PerlinValue;
noiseHeight += PerlinValue * amplitude;
amplitude *= persistance;
frequency *= lacunarity;
// map[x, y] = map[x, y] - fallmap[x, y];
}
if(noiseHeight > maxNoiseHeight)
{
maxNoiseHeight = noiseHeight;
}else if (noiseHeight < minNoiseHeight)
{
minNoiseHeight = noiseHeight;
}
map[x, y] = noiseHeight;
//map[x, y] = map[x, y] - fallmap[x, y] ;
}
}
return map;
}

Related

Is it possible to use a heightmap like Mathf.PerlinNoise();?

I am relatively new to Terrain Generation in Unity, and am currently stuck in one place. I have followed Brackey's tutorial on terrain generation, and in that tutorial, he uses something like this:
float y = Mathf.PerlinNoise(x, z) * 2f;
To manipulate the height of the terrain. I also followed Sebastian Lague's tutorial on this. This is where I am stuck.
I want to use Sebastian Lague's Noise.cs file that he created (can be found on his GitHub) to manipulate the terrain height.
The reason is because this noise generator, rather than Mathf.PerlinNoise(), gives you a much better control over the texture it outputs. The problem is, Noise.cs will return a 2D float array, while Mathf.PerlinNoise() returns a 1D float value. Is there a way for Noise.cs to return a float value, just like Mathf's function?
Noise.cs:
using UnityEngine;
using System.Collections;
public static class Noise {
public static float[,] GenerateNoiseMap(int mapWidth, int mapHeight, int seed, float scale, int octaves, float persistance, float lacunarity, Vector2 offset) {
float[,] noiseMap = new float[mapWidth,mapHeight];
System.Random prng = new System.Random (seed);
Vector2[] octaveOffsets = new Vector2[octaves];
for (int i = 0; i < octaves; i++) {
float offsetX = prng.Next (-100000, 100000) + offset.x;
float offsetY = prng.Next (-100000, 100000) + offset.y;
octaveOffsets [i] = new Vector2 (offsetX, offsetY);
}
if (scale <= 0) {
scale = 0.0001f;
}
float maxNoiseHeight = float.MinValue;
float minNoiseHeight = float.MaxValue;
float halfWidth = mapWidth / 2f;
float halfHeight = mapHeight / 2f;
for (int y = 0; y < mapHeight; y++) {
for (int x = 0; x < mapWidth; x++) {
float amplitude = 1;
float frequency = 1;
float noiseHeight = 0;
for (int i = 0; i < octaves; i++) {
float sampleX = (x-halfWidth) / scale * frequency + octaveOffsets[i].x;
float sampleY = (y-halfHeight) / scale * frequency + octaveOffsets[i].y;
float perlinValue = Mathf.PerlinNoise (sampleX, sampleY) * 2 - 1;
noiseHeight += perlinValue * amplitude;
amplitude *= persistance;
frequency *= lacunarity;
}
if (noiseHeight > maxNoiseHeight) {
maxNoiseHeight = noiseHeight;
} else if (noiseHeight < minNoiseHeight) {
minNoiseHeight = noiseHeight;
}
noiseMap [x, y] = noiseHeight;
}
}
for (int y = 0; y < mapHeight; y++) {
for (int x = 0; x < mapWidth; x++) {
noiseMap [x, y] = Mathf.InverseLerp (minNoiseHeight, maxNoiseHeight, noiseMap [x, y]);
}
}
return noiseMap;
}
}
MeshGenerator.cs
using System.Collections;
using System.Collections.Generic;
using UnityEngine;
[RequireComponent(typeof(MeshFilter))]
public class MeshGenerator : MonoBehaviour
{
Mesh mesh;
Vector3[] vertices;
int[] triangles;
public int xSize = 20;
public int zSize = 20;
int mapWidth;
int mapHeight;
int seed;
float scale;
int octaves;
float persistance;
float lacunarity;
Vector2 offset;
// Start is called before the first frame update
void Start()
{
// Initialize everything
mesh = new Mesh();
GetComponent<MeshFilter>().mesh = mesh;
CreateShape();
UpdateMesh();
}
void CreateShape()
{
// Creating the grid of vertices
vertices = new Vector3[(xSize + 1) * (zSize + 1)];
// Setting vertex positions
for (int i = 0, z = 0; z <= zSize; z++)
{
for (int x = 0; x <= xSize; x++)
{
//float y = Mathf.PerlinNoise(x * .3f, z * .3f) * 2f;
float y = Noise.GenerateNoiseMap(mapWidth, mapHeight, seed, scale, octaves, persistance, lacunarity, offset);
vertices[i] = new Vector3(x, y, z);
i++;
}
}
triangles = new int[xSize * zSize * 6];
int vert = 0;
int tris = 0;
for (int z = 0; z < zSize; z++)
{
for (int x = 0; x < xSize; x++)
{
triangles[tris + 0] = vert + 0;
triangles[tris + 1] = vert + xSize + 1;
triangles[tris + 2] = vert + 1;
triangles[tris + 3] = vert + 1;
triangles[tris + 4] = vert + xSize + 1;
triangles[tris + 5] = vert + xSize + 2;
vert++;
tris += 6;
}
vert++;
}
}
void UpdateMesh()
{
// Clear mesh data, reset with above vars and recalculate normals
mesh.Clear();
mesh.vertices = vertices;
mesh.triangles = triangles;
mesh.RecalculateNormals();
}
private void OnDrawGizmos()
{
if (vertices == null) return;
Gizmos.color = Color.red;
// Draw Vertex Gizmos
for (int i = 0; i < vertices.Length; i++)
{
Gizmos.DrawSphere(vertices[i], .1f);
}
}
}
I've figured it out, I would've had to put vertices[i] = new Vector3(x, y[x, z], z); Now I've already tried this, but I suppose visual studio bugged and did not save it properly. Anyways, yes, I just needed to use x/y to pick out my float.

Create a hexagon made up of smaller hexagons. Unity, c#

I use 9 similar for loops to create such hexagon which is made up of smaller hexagons.
My question is
How do I replace 9 for loops with just 1 for loop? Any ideas, much appreciated.
Middle column
(x=0,y=(-4;4)
for (int x = 0; x < 1; x++)
{
for (int y = 4; y > -5; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
First column right
(x=1,y=(-3.5;3.5))
for (float x = 0.75f; x < 1.75; x++)
{
for (float y = 3.5f; y > -4.5; y--)
{
Instantiate(cell, new Vector2(x,y), Quaternion.Euler(0.0f,0.0f,90.0f));
}
}
Second column right
(x=2,y=(-3;3))
for (float x = 1.5f; x < 2.5f; x++)
{
for (int y = 3; y > -4; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
Third column right
(x=3,y=(-2.5;2.5))
for (float x = 2.25f; x < 3.25; x++)
{
for (float y = 2.5f; y > -3.5; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
Fourth column right
(x=4,y=(-2;2))
for (int x = 3; x < 4; x++)
{
for (int y = 2; y > -3; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
First column left
(x=-1,y=(-3.5;3.5))
for (float x = -0.75f; x < 0.25; x++)
{
for (float y = 3.5f; y > -4.5; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
Second column left
(x=-2,y=(-3;3))
for (float x = -1.5f; x < -0.5f; x++)
{
for (int y = 3; y > -4; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
Third column left
(x=-3,y=(-2.5;2.5))
for (float x = -2.25f; x < -1.25; x++)
{
for (float y = 2.5f; y > -3.5; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
Fourth column left
(x=-4,y=(-2;2))
for (int x = -3; x < -2; x++)
{
for (int y = 2; y > -3; y--)
{
Instantiate(cell, new Vector2(x, y), Quaternion.Euler(0.0f, 0.0f, 90.0f));
}
}
And I need this:
One formula creates the whole hexagon
Quaternion rot = Quaternion.Euler(0.0f, 0.0f, 90.0f);
for (int x = -4; x <= 4; x++)
{
float xPos = x * 0.75F;
int nrOfYTiles = 9 - Math.Abs(x);
int halfNrOfYTiles = nrOfYTiles / 2;
float yOffset = 0.5F * Math.Abs(x % 2);
for (int y = 0; y < nrOfYTiles; y++)
{
float yPos = y - halfNrOfYTiles + yOffset;
Instantiate(cell, new Vector2(xPos, yPos), rot);
}
}
A more generic solution is:
Quaternion rot = Quaternion.Euler(0.0f, 0.0f, 90.0f);
const int maxTilesX = 9;
const int halfMaxTilesX = 9 / 2;
const int maxTilesY = 9;
int xMin = -halfMaxTilesX;
int xMax = halfMaxTilesX + (maxTilesX % 2); // add one if nr of tiles is odd
const float tileSizeX = 0.75F;
const float tileSizeY = 1F;
const float halTileSizeY = tileSizeY * 0.5F;
for (int x = xMin; x < xMax; x++)
{
float xPos = x * tileSizeX;
int tilesY = maxTilesY - Math.Abs(x);
int halfTilesY = tilesY / 2;
int yMin = -halfTilesY;
int yMax = halfTilesY + (tilesY % 2);
float yOffset = halTileSizeY * Math.Abs(x % 2);
for (int y = yMin; y < yMax; y++)
{
float yPos = (y * tileSizeY) + yOffset;
Instantiate(cell, new Vector2(xPos, yPos), rot);
}
}

Unity - Perlin noise Octaves

I'am trying to setup simple Terrain Generator in unity following tutorial, so far it works as intended, but i wanted to do more "natural" look and found out that i need to do Octaves or MultiLevel noise.
Everything i found online regarding Multilevel Perlin noise, was not understandable for me or used completly different methode.
using UnityEngine;
[RequireComponent(typeof(MeshFilter))]
public class Mesh_Generator : MonoBehaviour
{
#region Variables
Mesh mesh;
Vector3[] vertices;
//Vector2[] Uvs;
Color[] colors;
int[] triangles;
[Range(1, 9999)]
public int xSize = 100;
[Range(1, 9999)]
public int zSize = 100;
public Gradient gradient;
public float MinHeight = 0;
public float MaxHeight = 0;
public bool Reset_Min_Max;
#endregion
#region Octaves
[Range(1, 6)]
public int Octaves = 6;
public int Scale = 50;
public float offsetX = 0f;
public float offsetY = 0f;
public float Frequency_01 = 5f;
public float FreqAmp_01 = 3f;
public float Frequency_02 = 6f;
public float FreqAmp_02 = 2.5f;
public float Frequency_03 = 3f;
public float FreqAmp_03 = 1.5f;
public float Frequency_04 = 2.5f;
public float FreqAmp_04 = 1f;
public float Frequency_05 = 2f;
public float FreqAmp_05 = .7f;
public float Frequency_06 = 1f;
public float FreqAmp_06 = .5f;
#endregion
#region Start
void Start()
{
mesh = new Mesh();
GetComponent<MeshFilter>().mesh = mesh;
offsetX = Random.Range(0f, 99999f);
offsetY = Random.Range(0f, 99999f);
}
#endregion
void ResetMinMax()
{
MinHeight = 0f;
MaxHeight = 0f;
Reset_Min_Max = false;
}
#region Update
private void Update()
{
if (Reset_Min_Max)
ResetMinMax();
CreateShape();
UpdateMesh();
}
#endregion
#region CreateShape
void CreateShape()
{
#region Vertices
vertices = new Vector3[(xSize + 1) * (zSize + 1)];
for (int i = 0, z = 0; z <= zSize; z++)
{
for (int x = 0; x <= xSize; x++)
{
float y = Calculate(x, z);
vertices[i] = new Vector3(x, y, z);
if (y > MaxHeight)
MaxHeight = y;
if (y < MinHeight)
MinHeight = y;
i++;
}
}
int vert = 0;
int tris = 0;
#endregion
#region Triangles
triangles = new int[xSize * zSize * 6];
for (int z = 0; z < zSize; z++)
{
for (int x = 0; x < xSize; x++)
{
triangles[tris + 0] = vert + 0;
triangles[tris + 1] = vert + xSize + 1;
triangles[tris + 2] = vert + 1;
triangles[tris + 3] = vert + 1;
triangles[tris + 4] = vert + xSize + 1;
triangles[tris + 5] = vert + xSize + 2;
vert++;
tris += 6;
}
vert++;
}
#endregion
#region Gradient Color
colors = new Color[vertices.Length];
for (int i = 0, z = 0; z <= zSize; z++)
{
for (int x = 0; x <= xSize; x++)
{
float Height = Mathf.InverseLerp(MinHeight, MaxHeight, vertices[i].y);
colors[i] = gradient.Evaluate(Height);
i++;
}
}
#endregion
#region UVs
/*
Uvs = new Vector2[vertices.Length];
for (int i = 0, z = 0; z <= zSize; z++)
{
for (int x = 0; x <= xSize; x++)
{
Uvs[i] = new Vector2((float)x / xSize, (float)z / zSize);
i++;
}
}
*/
#endregion
}
#endregion
#region Octaves Calculation
float Calculate(float x, float z)
{
float[] octaveFrequencies = new float[] { Frequency_01, Frequency_02, Frequency_03, Frequency_04, Frequency_05, Frequency_06 };
float[] octaveAmplitudes = new float[] { FreqAmp_01, FreqAmp_02, FreqAmp_03, FreqAmp_04, FreqAmp_05, FreqAmp_06 };
float y = 0;
for (int i = 0; i < Octaves; i++)
{
y += octaveAmplitudes[i] * Mathf.PerlinNoise(
octaveFrequencies[i] * x + offsetX * Scale,
octaveFrequencies[i] * z + offsetY * Scale) ;
}
return y;
}
#endregion
#region UpdateMesh
void UpdateMesh()
{
mesh.Clear();
mesh.vertices = vertices;
mesh.triangles = triangles;
mesh.colors = colors;
//mesh.uv = Uvs;
mesh.RecalculateNormals();
}
#endregion
#region Gizmos
/*
private void OnDrawGizmos()
{
if (vertices == null)
return;
for (int i = 0; i < vertices.Length; i++){
Gizmos.DrawSphere(vertices[i], .1f);
}
}
*/
#endregion
}
In link below is my current result and result which i'am trying to achieve.
https://imgur.com/a/m9B6ga4
is it possible to achieve such result using this method ?
if so would be possible to show script example ?
Thank you a lot.
*updated code again
multi level, or multi octave perlin is just few iterations of standard perlin added together.
An example code could look like this:
float[] octaveFrequencies=new float() {1,1.5f,2,2.5f} ;
float[] octaveAmplitudes=new float() {1,0.9f,0.7f,0.f} ;
float y=0;
for(int i=0;i<octaveFrequencies.Length;i++)
y += octaveAmplitudes[i]* Mathf.PerlinNoise(
octaveFrequencies[i]*x + .3f,
octaveFrequencies[i]* z + .3f) * 2f ;
The numbers you put into arrays will decide the final shape of the noise. Values from the frequencies array are multiplied by your input, values from the amplitudes array are multiplied by the resulting perlin at that layer.

In Unity3D, I am following a tilemap tutorial. However, the UV layout is coming out strange. How can I fix this?

I'm following this tutorial set: https://www.youtube.com/watch?v=owBt9SNKXCI&index=6&list=PLbghT7MmckI4qGA0Wm_TZS8LVrqS47I9R to dynamically build a tile map layout. It works to a point, but it generates a very strange layout with 128 x 128 sized tiles.
Clearly that strange partitioning shouldn't be happening, but I cannot seem to track down what's going on to cause it. Here is my version of the code, which is mostly identical to quill18creates's version sans a few small differences:
using UnityEngine;
using System.Collections;
[ExecuteInEditMode]
public class TileMap : MonoBehaviour {
public int size_x = 100;
public int size_z = 50;
public float tileSize = 1.0f;
public Texture2D terrainTiles;
int tileResolution = 128;
// Use this for initialization
void Start () {
BuildMesh();
}
Color[][] ChopUpTiles() {
int numTilesPerRow = terrainTiles.width / tileResolution;
int numRows = terrainTiles.height / tileResolution;
Color[][] tiles = new Color[numTilesPerRow*numRows][];
for(int y=0; y < numRows; y++) {
for(int x=0; x < numTilesPerRow; x++) {
tiles[y * numTilesPerRow + x] = terrainTiles.GetPixels( x*tileResolution , y*tileResolution, tileResolution, tileResolution );
}
}
return tiles;
}
void BuildTexture() {
//DTileMap map = new DTileMap(size_x, size_z);
int texWidth = size_x * tileResolution;
int texHeight = size_z * tileResolution;
Texture2D texture = new Texture2D(texWidth, texHeight);
Color[][] tiles = ChopUpTiles();
for(int y=0; y < size_z; y++) {
for(int x=0; x < size_x; x++) {
Color[] p = tiles[Mathf.RoundToInt(Random.Range(0, 5))];
texture.SetPixels(x * tileResolution, y * tileResolution, tileResolution, tileResolution, p);
}
}
//texture.filterMode = FilterMode.Bilinear;
texture.wrapMode = TextureWrapMode.Clamp;
texture.Apply();
MeshRenderer mesh_renderer = GetComponent<MeshRenderer>();
mesh_renderer.sharedMaterials[0].mainTexture = texture;
}
public void BuildMesh() {
int numTiles = size_x * size_z;
int numTris = numTiles * 2;
int vsize_x = size_x + 1;
int vsize_z = size_z + 1;
int numVerts = vsize_x * vsize_z;
// Generate the mesh data
Vector3[] vertices = new Vector3[ numVerts ];
Vector3[] normals = new Vector3[numVerts];
Vector2[] uv = new Vector2[numVerts];
int[] triangles = new int[ numTris * 3 ];
int x, z;
for(z=0; z < vsize_z; z++) {
for(x=0; x < vsize_x; x++) {
vertices[ z * vsize_x + x ] = new Vector3( x*tileSize, 0, -z*tileSize );
normals[ z * vsize_x + x ] = Vector3.up;
uv[ (z * vsize_x) + x ] = new Vector2( (float)x / size_x, (float)z / size_z );
}
}
Debug.Log ("Done Verts!");
for(z=0; z < size_z; z++) {
for(x=0; x < size_x; x++) {
int squareIndex = z * size_x + x;
int triOffset = squareIndex * 6;
triangles[triOffset + 0] = z * vsize_x + x + 0;
triangles[triOffset + 2] = z * vsize_x + x + vsize_x + 0;
triangles[triOffset + 1] = z * vsize_x + x + vsize_x + 1;
triangles[triOffset + 3] = z * vsize_x + x + 0;
triangles[triOffset + 5] = z * vsize_x + x + vsize_x + 1;
triangles[triOffset + 4] = z * vsize_x + x + 1;
}
}
// Create a new Mesh and populate with the data
Mesh mesh = new Mesh();
mesh.vertices = vertices;
mesh.triangles = triangles;
mesh.normals = normals;
mesh.uv = uv;
// Assign our mesh to our filter/renderer/collider
MeshFilter mesh_filter = GetComponent<MeshFilter>();
MeshCollider mesh_collider = GetComponent<MeshCollider>();
mesh_filter.mesh = mesh;
mesh_collider.sharedMesh = mesh;
BuildTexture();
}
}
I don't get exactly what part is wrong in the image but I think it is that the same tiles are lumping together.
I tried your code and it works well for me. But I guess the following part could be causing the lumping together problem for you:
Color[] p = tiles[Mathf.RoundToInt(Random.Range(0, 5))];
Instead you should do:
Color[] p = tiles[Random.Range(0, 5)];
Because, the other way, Random is generating float numbers and maybe they are near the each other that rounding them to the integer gives same tile. Give it a try.
Also just reminding, make sure the width and the height of your texture is divisible by 128.
Well, it was definitely a size issue, but there was also an issue with positioning. Tiles have to start at the bottom-left corner for the coordinate system to find them.

Getting the height and width of a polygon on a certain plane

I'm currently using the following to apply a texture to a polygon formed by TriangleList
public static VertexPositionColorTexture[] TextureMapping(VertexPositionColorTexture[] vertices, float xScale, float yScale)
{
bool initialized = false;
float x, y;
float lX = 0, hX = 0, lY = 0, hY = 0;
for (int i = 0; i < vertices.Length; i++)
{
x = vertices[i].Position.X;
y = vertices[i].Position.Y;
if (!initialized)
{
hX = x;
lX = x;
hX = y;
hY = y;
initialized = true;
}
else
{
if (x > hX)
{
hX = x;
}
else if (x < lX)
{
lX = x;
}
if (y > hY)
{
hY = y;
}
else if (y < lY)
{
lY = y;
}
}
}
float width = (Math.Abs(lX) + Math.Abs(hX)) / xScale;
float height = (Math.Abs(lY) + Math.Abs(hY)) / yScale;
for (int i = 0; i < vertices.Length; i++)
{
vertices[i].TextureCoordinate.X = vertices[i].Position.X / width;
vertices[i].TextureCoordinate.Y = vertices[i].Position.Y / height;
}
return vertices;
This currently works fine for a polygon that has points that all have Z=0 (example: (0,0,0) (0,10,0) (10,10,0) (10,0,0)) but doesn't work for any that are rotated or not flat along the z (example (0,0,0) (0,0,10) (0,10,10) (0,10,0)). The only solution I have come with is to get the plane that the polygon lies on (it will always be flat) and somehow rotate or translate the vertices in the above method to flatten it to the xy line to allow for the correct height and width to be determined. Anyone point me in the right direction, or suggest something else?
Solved this myself by re-writing and rotating the polygon to the z plane.

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