// VALUE //
public static NoiseSample Value1D(Vector3 point, float frequency, bool derivative)
{
point *= frequency;
int i0 = Mathf.FloorToInt(point.x);
i0 &= hashMask;
int i1 = i0 + 1;
int h0 = GameUtils.Hash[i0];
int h1 = GameUtils.Hash[i1];
float a = h0;
float b = h1 - h0;
float t = point.x - i0;
float ts = GameUtils.Smooth(t);
NoiseSample sample = new NoiseSample();
sample.value = a + b * ts;
if (derivative)
{
float dt = GameUtils.SmoothDerivative(t);
sample.derivative.x = b * dt;
sample.derivative.y = 0f;
sample.derivative.z = 0f;
sample.derivative *= frequency;
}
return(sample * (2f / hashMask) - 1f);
}
private void FillTexture()
{
NoiseMethod method = Noise.noiseMethods[(int)type][dimensions - 1];
float stepSize = 1f / resolution;
Vector3 point00 = transform.TransformPoint(new Vector3(-0.5f, -0.5f));
Vector3 point10 = transform.TransformPoint(new Vector3(0.5f, -0.5f));
Vector3 point01 = transform.TransformPoint(new Vector3(-0.5f, 0.5f));
Vector3 point11 = transform.TransformPoint(new Vector3(0.5f, 0.5f));
for (int y = 0; y < resolution; y++)
{
Vector3 point0 = Vector3.Lerp(point00, point01, (y + 0.5f) * stepSize);
Vector3 point1 = Vector3.Lerp(point10, point11, (y + 0.5f) * stepSize);
for (int x = 0; x < resolution; x++)
{
Vector3 point = Vector3.Lerp(point0, point1, (x + 0.5f) * stepSize);
NoiseSample sample = Noise.Sum(method, point, frequency, octaves, lacunarity, persistence);
sample = sample * 0.5f + 0.5f;
texture.SetPixel(x, y, Color.white * coloring.Evaluate(sample.value));
}
}
texture.Apply();
}
public NoiseSample[,] CreateNoise(Vector2 location, Vector2Int size, int chunkSize, int seed)
{
danny.Begin();
// create a item to return
NoiseSample[,] NoiseMap = new NoiseSample[size.x, size.y];
// generate map heights with octaves each octave being more imporatant in generation than last
for (int X = 0; X < NoiseMap.GetLength(0); X++)
{
for (int Z = 0; Z < NoiseMap.GetLength(1); Z++)
{
Vector3 pos = (Vector3)((new Vector2(X - 1, Z - 1) + location * 240f) / 240f);
NoiseSample height = Desert(pos);
NoiseMap[X, Z] = height;
}
}
danny.End();
return(NoiseMap);
}
public void Refresh()
{
if (resolution != currentResolution)
{
CreateGrid();
}
Quaternion q = Quaternion.Euler(rotation);
Vector3 point00 = q * new Vector3(-0.5f, -0.5f) + offset;
Vector3 point10 = q * new Vector3(0.5f, -0.5f) + offset;
Vector3 point01 = q * new Vector3(-0.5f, 0.5f) + offset;
Vector3 point11 = q * new Vector3(0.5f, 0.5f) + offset;
NoiseMethod method = Noise.noiseMethods[(int)type][dimensions - 1];
float stepSize = 1f / resolution;
float amplitude = damping ? strength / frequency : strength;
for (int v = 0, y = 0; y <= resolution; y++)
{
Vector3 point0 = Vector3.Lerp(point00, point01, y * stepSize);
Vector3 point1 = Vector3.Lerp(point10, point11, y * stepSize);
for (int x = 0; x <= resolution; x++, v++)
{
Vector3 point = Vector3.Lerp(point0, point1, x * stepSize);
NoiseSample sample = Noise.Sum(method, point, frequency, octaves, lacunarity, persistence);
sample = type == NoiseMethodType.Value ? (sample - 0.5f) : (sample * 0.5f);
if (coloringForStrength)
{
colors[v] = coloring.Evaluate(sample.value + 0.5f);
sample *= amplitude;
}
else
{
sample *= amplitude;
colors[v] = coloring.Evaluate(sample.value + 0.5f);
}
vertices[v].y = sample.value;
sample *= strength;
if (type != NoiseMethodType.Value)
{
sample = sample * 0.5f + 0.5f;
}
vertices[v].y = sample.value;
// colors[v] = coloring.Evaluate(sample + 0.5f);
}
}
mesh.vertices = vertices;
mesh.colors = colors;
CalculateNormals();
mesh.normals = normals;
}
private static NoiseSample SimplexValue2DPart(Vector3 point, int ix, int iy, bool derivative)
{
float unskew = (ix + iy) * squaresToTriangles;
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float f = 0.5f - x * x - y * y;
NoiseSample sample = new NoiseSample();
if (f > 0f)
{
float f2 = f * f;
float f3 = f * f2;
float h = GameUtils.Hash[GameUtils.Hash[ix & hashMask] + iy & hashMask];
sample.value = h * f3;
if (derivative)
{
float h6f2 = -6f * h * f2;
sample.derivative.x = h6f2 * x;
sample.derivative.y = h6f2 * y;
}
}
return(sample);
}
private void PositionParticles()
{
Quaternion q = Quaternion.Euler(rotation);
Quaternion qInv = Quaternion.Inverse(q);
NoiseMethod method = Noise.methods[(int)type][dimensions - 1];
float amplitude = damping ? strength / frequency : strength;
morphOffset += Time.deltaTime * morphSpeed;
if (morphOffset > 256f)
{
morphOffset -= 256f;
}
for (int i = 0; i < particles.Length; i++)
{
Vector3 position = particles[i].position;
Vector3 point = q * new Vector3(position.z, position.y, position.x + morphOffset) + offset;
NoiseSample sampleX = Noise.Sum(method, point, frequency, octaves, lacunarity, persistence);
sampleX *= amplitude;
sampleX.derivative = qInv * sampleX.derivative;
point = q * new Vector3(position.x + 100f, position.z, position.y + morphOffset) + offset;
NoiseSample sampleY = Noise.Sum(method, point, frequency, octaves, lacunarity, persistence);
sampleY *= amplitude;
sampleY.derivative = qInv * sampleY.derivative;
point = q * new Vector3(position.y, position.x + 100f, position.z + morphOffset) + offset;
NoiseSample sampleZ = Noise.Sum(method, point, frequency, octaves, lacunarity, persistence);
sampleZ *= amplitude;
sampleZ.derivative = qInv * sampleZ.derivative;
Vector3 curl;
curl.x = sampleZ.derivative.x - sampleY.derivative.y;
curl.y = sampleX.derivative.x - sampleZ.derivative.y;
curl.z = sampleY.derivative.x - sampleX.derivative.y;
particles[i].velocity = curl;
}
}
public override NoiseSample interpolate(float x, float y, float z)
{
NoiseMethod method = Noise.methods[(int)NoiseMethodType.Simplex][2];
NoiseSample sample = Noise.Sum(method, new Vector3(x, y, z), 1, 2, 2, .5f);
return(sample);
}
private static NoiseSample Simplex3DPart(Vector3 point, int ix, int iy, int iz, bool derivative)
{
float unskew = (ix + iy + iz) * (1f / 6f);
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float z = point.z - iz + unskew;
float f = 0.5f - x * x - y * y - z * z;
NoiseSample sample = new NoiseSample();
if (f > 0f)
{
float f2 = f * f;
float f3 = f * f2;
Vector3 g = simplexGradients3D[GameUtils.Hash[GameUtils.Hash[GameUtils.Hash[ix & hashMask] + iy & hashMask] + iz & hashMask] & simplexGradientsMask3D];
float v = GameUtils.Dot(g, x, y, z);
sample.value = v * f3;
if (derivative)
{
float v6f2 = -6f * v * f2;
sample.derivative.x = g.x * f3 + v6f2 * x;
sample.derivative.y = g.y * f3 + v6f2 * y;
sample.derivative.z = g.z * f3 + v6f2 * z;
}
else
{
sample.derivative = Vector3.zero;
}
}
return(sample);
}
private static NoiseSample Simplex2DPart(Vector3 point, int ix, int iy, bool derivative)
{
float unskew = (ix + iy) * squaresToTriangles;
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float f = 0.5f - x * x - y * y;
NoiseSample sample = new NoiseSample();
if (f > 0f)
{
float f2 = f * f;
float f3 = f * f2;
Vector2 g = gradients2D[GameUtils.Hash[GameUtils.Hash[ix & hashMask] + iy & hashMask] & gradientsMask2D];
float v = GameUtils.Dot(g, x, y);
float v6f2 = -6f * v * f2;
sample.value = v * f3;
if (derivative)
{
sample.derivative.x = g.x * f3 + v6f2 * x;
sample.derivative.y = g.y * f3 + v6f2 * y;
}
else
{
sample.derivative = Vector3.zero;
}
}
return(sample);
}
public static NoiseSample SimplexGradient2D(Vector3 point, float frequency)
{
point *= frequency;
float skew = (point.x + point.y) * trianglesToSquares;
float sx = point.x + skew;
float sy = point.y + skew;
int ix = Mathf.FloorToInt(sx);
int iy = Mathf.FloorToInt(sy);
NoiseSample sample = SimplexGradient2DPart(point, ix, iy);
sample += SimplexGradient2DPart(point, ix + 1, iy + 1);
if (sx - ix >= sy - iy)
{
sample += SimplexGradient2DPart(point, ix + 1, iy);
}
else
{
sample += SimplexGradient2DPart(point, ix, iy + 1);
}
return(sample * simplexScale2D);
}
public static NoiseSample Simplex3D(Vector3 point, float frequency)
{
point *= frequency;
float skew = (point.x + point.y + point.z) * (1f / 3f);
float sx = point.x + skew;
float sy = point.y + skew;
float sz = point.z + skew;
int ix = Mathf.FloorToInt(sx);
int iy = Mathf.FloorToInt(sy);
int iz = Mathf.FloorToInt(sz);
NoiseSample sample = Simplex3DPart(point, ix, iy, iz);
sample += Simplex3DPart(point, ix + 1, iy + 1, iz + 1);
float x = sx - ix;
float y = sy - iy;
float z = sz - iz;
if (x >= y)
{
if (x >= z)
{
sample += Simplex3DPart(point, ix + 1, iy, iz);
if (y >= z)
{
sample += Simplex3DPart(point, ix + 1, iy + 1, iz);
}
else
{
sample += Simplex3DPart(point, ix + 1, iy, iz + 1);
}
}
else
{
sample += Simplex3DPart(point, ix, iy, iz + 1);
sample += Simplex3DPart(point, ix + 1, iy, iz + 1);
}
}
else
{
if (y >= z)
{
sample += Simplex3DPart(point, ix, iy + 1, iz);
if (x >= z)
{
sample += Simplex3DPart(point, ix + 1, iy + 1, iz);
}
else
{
sample += Simplex3DPart(point, ix, iy + 1, iz + 1);
}
}
else
{
sample += Simplex3DPart(point, ix, iy, iz + 1);
sample += Simplex3DPart(point, ix, iy + 1, iz + 1);
}
}
sample.derivative *= frequency;
return(sample * simplexScale3D);
}
private void PositionParticles()
{
Quaternion q = Quaternion.Euler(surface.rotation);
Quaternion qInv = Quaternion.Inverse(q);
NoiseMethod method = Noise.methods[(int)surface.type][surface.dimensions - 1];
float amplitude = surface.damping ? surface.strength / surface.frequency : surface.strength;
for (int i = 0; i < particles.Length; i++)
{
Vector3 position = particles[i].position;
Vector3 point = q * new Vector3(position.x, position.z) + surface.offset;
NoiseSample sample = Noise.Sum(method, point, surface.frequency, surface.octaves, surface.lacunarity, surface.persistence);
sample = sample * 0.5f;
sample *= amplitude;
sample.derivative = qInv * sample.derivative;
Vector3 curl = new Vector3(sample.derivative.y, 0f, -sample.derivative.x);
position += curl * Time.deltaTime * flowStrength;
position.y = sample.value + system.main.startSize.constant;
particles[i].position = position;
if (position.x < -0.5f || position.x > 0.5f || position.z < -0.5f || position.z > 0.5f)
{
particles[i].remainingLifetime = 0f;
}
}
}
public static NoiseSample SimplexValue2D(Vector3 point, float frequency, bool derivative)
{
point *= frequency;
float skew = (point.x + point.y) * trianglesToSquares;
float sx = point.x + skew;
float sy = point.y + skew;
int ix = Mathf.FloorToInt(sx);
int iy = Mathf.FloorToInt(sy);
NoiseSample sample = SimplexValue2DPart(point, ix, iy, derivative);
sample += SimplexValue2DPart(point, ix + 1, iy + 1, derivative);
if (sx - ix >= sy - iy)
{
sample += SimplexValue2DPart(point, ix + 1, iy, derivative);
}
else
{
sample += SimplexValue2DPart(point, ix, iy + 1, derivative);
}
if (derivative)
{
sample.derivative *= frequency;
}
return(sample * (8f * 2f / hashMask) - 1f);
}
private static NoiseSample SimplexValue3DPart(Vector3 point, int ix, int iy, int iz, bool derivative)
{
float unskew = (ix + iy + iz) * (1f / 6f);
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float z = point.z - iz + unskew;
float f = 0.5f - x * x - y * y - z * z;
NoiseSample sample = new NoiseSample();
if (f > 0f)
{
float f2 = f * f;
float f3 = f * f2;
float h = GameUtils.Hash[GameUtils.Hash[GameUtils.Hash[ix & hashMask] + iy & hashMask] + iz & hashMask];
sample.value = h * f3;
if (derivative)
{
float h6f2 = -6f * h * f2;
sample.derivative.x = h6f2 * x;
sample.derivative.y = h6f2 * y;
sample.derivative.z = h6f2 * z;
}
else
{
sample.derivative = Vector3.zero;
}
}
return(sample);
}
public void Refresh()
{
if (mesh == null)
{
Init();
}
if (resolution != currentResolution)
{
CreateGrid();
}
Quaternion q = Quaternion.Euler(rotation);
Quaternion qInv = Quaternion.Inverse(q);
Vector3 point00 = q * new Vector3(-0.5f, -0.5f) + offset;
Vector3 point10 = q * new Vector3(0.5f, -0.5f) + offset;
Vector3 point01 = q * new Vector3(-0.5f, 0.5f) + offset;
Vector3 point11 = q * new Vector3(0.5f, 0.5f) + offset;
NoiseMethod method = Noise.methods[(int)type][dimensions - 1];
float stepSize = 1f / resolution;
float amplitude = damping ? strength / frequency : strength;
for (int v = 0, y = 0; y <= resolution; ++y)
{
Vector3 point0 = Vector3.Lerp(point00, point01, y * stepSize);
Vector3 point1 = Vector3.Lerp(point10, point11, y * stepSize);
for (int x = 0; x <= resolution; ++x, ++v)
{
Vector3 point = Vector3.Lerp(point0, point1, x * stepSize);
NoiseSample sample = Noise.Sum(method, point, frequency, octaves, lacunarity, persistence);
sample = type == NoiseMethodType.Value ? (sample - 0.5f) : (sample * 0.5f);
if (coloringForStrength)
{
colors[v] = coloring.Evaluate(sample.value + 0.5f);
sample *= amplitude;
}
else
{
sample *= amplitude;
colors[v] = coloring.Evaluate(sample.value + 0.5f);
}
vertices[v].y = sample.value;
sample.derivative = qInv * sample.derivative;
if (analyticalDerivatives)
{
normals[v] = new Vector3(-sample.derivative.x, 1f, -sample.derivative.y).normalized;
}
}
}
mesh.vertices = vertices;
mesh.colors = colors;
if (!analyticalDerivatives)
{
CalculateNormals();
}
mesh.normals = normals;
}
public static NoiseSample Simplex1D(Vector3 point, float frequency)
{
point *= frequency;
int ix = Mathf.FloorToInt(point.x);
NoiseSample sample = Simplex1DPart(point, ix);
sample += Simplex1DPart(point, ix + 1);
sample.derivative *= frequency;
return(sample * (64f / 27f));
}
public static NoiseSample Simplex1D(Vector3 point, float frequency)
{
point *= frequency;
int ix = Mathf.FloorToInt(point.x); // get left-side cell start position
NoiseSample sample = Simplex1DPart(point, ix); // get falloff value of this point from left cell int position
sample += Simplex1DPart(point, ix + 1); // get and add falloff value of this point from right cell int position
sample.derivative *= frequency;
return(sample * (64f / 27f)); // get value back into 0-1 range
}
public static NoiseSample SimplexValue1D(Vector3 point, float frequency)
{
point *= frequency;
int ix = Mathf.FloorToInt(point.x);
NoiseSample sample = SimplexValue1DPart(point, ix);
sample += SimplexValue1DPart(point, ix + 1);
sample.derivative *= frequency;
return(sample * (2f / hashMask) - 1f);
}
public void Refresh()
{
if (resolution != _currentResolution)
{
CreateGrid();
}
Quaternion q = Quaternion.Euler(rotation);
Quaternion qInv = Quaternion.Inverse(q);
Vector3 point00 = q * new Vector3(-0.5f, -0.5f) + offset;
Vector3 point10 = q * new Vector3(0.5f, -0.5f) + offset;
Vector3 point01 = q * new Vector3(-0.5f, 0.5f) + offset;
Vector3 point11 = q * new Vector3(0.5f, 0.5f) + offset;
NoiseMethod2 method = Noise2.noiseMethods[(int)type][dimensions - 1];
float stepSize = 1f / resolution;
float amplitude = damping ? strength / frequency : strength;
for (int v = 0, y = 0; y <= resolution; y++)
{
Vector3 point0 = Vector3.Lerp(point00, point01, y * stepSize);
Vector3 point1 = Vector3.Lerp(point10, point11, y * stepSize);
for (int x = 0; x <= resolution; x++, v++)
{
Vector3 point = Vector3.Lerp(point0, point1, x * stepSize);
NoiseSample sample = Noise2.Sum(method, point, frequency, octaves, lacunarity, persistence);
sample = type == NoiseMethodType2.Value ? (sample - 0.5f) : (sample * 0.5f);
if (coloringForStrength)
{
_colors[v] = coloring.Evaluate(sample.value + 0.5f);
sample *= amplitude;
}
else
{
sample *= amplitude;
_colors[v] = coloring.Evaluate(sample.value + 0.5f);
}
_vertices[v].y = sample.value;
sample.derivative = qInv * sample.derivative;
if (analyticalDerivatives)
{
//calcualtes the analytical normals
_normals[v] = new Vector3(-sample.derivative.x, 1f, -sample.derivative.y).normalized;
}
}
}
_mesh.vertices = _vertices;
_mesh.colors = _colors;
//_mesh.RecalculateNormals();
if (!analyticalDerivatives)
{
CalculateNormals(); //a version of the above RecalculateNormals() method
}
_mesh.normals = _normals;
}
// catlikecoding Noise
public static float[,] theCatNoise(int mapWidth, int mapHeight, float resolution, int octaves, float persistence, float lacunarity, bool damping, float strength)
{
float frequency = 1f;
Vector3 offset = new Vector3(1f, 2f, 3f);
Vector3 rotation = new Vector3(45f, 45f, 0f);
float [,] noiseMap = new float[mapWidth, mapHeight];
Quaternion q = Quaternion.Euler(rotation);
// Quaternion qInv = Quaternion.Inverse(q);
Vector3 point00 = q * new Vector3(-0.5f, -0.5f) + offset;
Vector3 point10 = q * new Vector3(0.5f, -0.5f) + offset;
Vector3 point01 = q * new Vector3(-0.5f, 0.5f) + offset;
Vector3 point11 = q * new Vector3(0.5f, 0.5f) + offset;
// NoiseMethod method = Noise.methods[(int)type][dimensions - 1];
float stepSize = 1f / mapHeight;
float amplitude = damping ? strength / frequency : strength;
for (int v = 0, y = 0; y < mapWidth; y++)
{
Vector3 point0 = Vector3.Lerp(point00, point01, y * stepSize);
Vector3 point1 = Vector3.Lerp(point10, point11, y * stepSize);
for (int x = 0; x < mapHeight; x++, v++)
{
Vector3 point = Vector3.Lerp(point0, point1, x * stepSize);
NoiseSample sample = catNoise.Sum3D(point, frequency, octaves, lacunarity, persistence);
sample = sample - 0.5f;
sample *= amplitude;
// sample = type == NoiseMethodType.Value ? (sample - 0.5f) : (sample * 0.5f);
// if (coloringForStrength) {
// colors[v] = coloring.Evaluate(sample.value + 0.5f);
// sample *= amplitude;
// }
// else {
// sample *= amplitude;
// colors[v] = coloring.Evaluate(sample.value + 0.5f);
// }
//vertices[v].y = 1f-Mathf.Abs(sample.value);
//sample.derivative = qInv * sample.derivative;
// if (analyticalDerivatives) {
// normals[v] = new Vector3(-sample.derivative.x, 1f, -sample.derivative.y).normalized;
// }
noiseMap[y, x] = sample.value;
}
}
// Ridged
// sample.value = 1f-Mathf.Abs(sample.value);
// sample.derivative = qInv * sample.derivative;
return(noiseMap);
}
private static NoiseSample SimplexValue1DPart(Vector3 point, int ix)
{
float x = point.x - ix;
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2;
float h = hash[ix & hashMask];
NoiseSample sample = new NoiseSample();
sample.value = h * f3;
sample.derivative.x = -6f * h * x * f2;
return(sample);
}
// -------------------------
// // SIMPLEX VALUE NOISE FUNCTIONS:
// // ========================================================================================================
private static NoiseSample SimplexValue1DPart(Vector3 point, int ix)
{
float x = point.x - ix; // get relative position of sample point with respect to base integer cell
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2; // falloff function f(0)=1, f(1)=0
float h = hash [ix & hashMask]; // get hashed (shuffled) value for this cell int
NoiseSample sample = new NoiseSample();
sample.value = h * f3; // multiply h hash value by f3, the contribution of h at this position.
sample.derivative.x = -6f * h * x * f2;
return(sample);
}
private void UpdateSkyTangents()
{
for (int i = 0; i < strokeBackgroundArray.Length; i++)
{
//background1[i].y = Mathf.Abs(background1[i].y);
NoiseSample noiseSample = NoisePrime.Simplex3D(strokeBackgroundArray[i].pos + skyNoiseOffset, skyNoiseFrequency);
//float size = Vector3.Dot(noiseSample.derivative.normalized, strokeBackgroundArray[i].normal);
noiseSample.value = noiseSample.value * 0.5f + 0.5f;
//strokeBackgroundArray[i].pos = background1[i];
float colorNoiseFrequency = 1000f;
NoiseSample colorNoiseSample = NoisePrime.Simplex3D(strokeBackgroundArray[i].pos, skyNoiseFrequency * colorNoiseFrequency);
float colorNoise = (colorNoiseSample.value * 0.5f + 0.5f);
Color color = skyColorGradient.Evaluate(Vector3.Dot(strokeBackgroundArray[i].pos.normalized, Vector3.up));
strokeBackgroundArray[i].col = new Vector3(Mathf.Lerp(color.r, colorNoise, skyColorNoise), Mathf.Lerp(color.g, colorNoise, skyColorNoise), Mathf.Lerp(color.b, colorNoise, skyColorNoise));
//strokeBackgroundArray[i].col = new Vector3(noiseSample.value, noiseSample.value, noiseSample.value);
//strokeBackgroundArray[i].normal = -background1[i].normalized;
//Vector3 cross = Vector3.Cross(strokeBackgroundArray[i].normal, noiseSample.derivative);
strokeBackgroundArray[i].tangent = Vector3.Cross(strokeBackgroundArray[i].normal, noiseSample.derivative);
//strokeBackgroundArray[i].prevPos = background1[i];
//size = (1.0f - Mathf.Abs(size)); //0 = 1,
strokeBackgroundArray[i].dimensions = new Vector2(1f, 1f);
}
skyNoiseOffset += skyNoiseScroll * Time.deltaTime;
backgroundStrokesBuffer.SetData(strokeBackgroundArray);
/*float groundPos = -5f;
* for (int i = 0; i < strokeTerrainArray.Length; i++) {
* //strokeTerrainArray[i].pos = UnityEngine.Random.insideUnitSphere * groundSpreadExponent;
* //strokeTerrainArray[i].pos *= strokeTerrainArray[i].pos.sqrMagnitude;
* strokeTerrainArray[i].pos.y = groundPos; // start at groundHeight
* NoiseSample noiseSample = NoisePrime.Simplex3D(new Vector3(strokeTerrainArray[i].pos.x, 0f, strokeTerrainArray[i].pos.z), groundNoiseFrequency);
* float heightOffset = noiseSample.value * groundNoiseAmplitude;
* strokeTerrainArray[i].pos.y = groundPos + heightOffset;
* //strokeTerrainArray[i].pos = terrain1[i];
* Color color = terrainColorGradient.Evaluate(noiseSample.value * 0.5f + 0.5f);
* strokeTerrainArray[i].col = new Vector3(color.r, color.g, color.b);
* //Vector3 preTangent = noiseSample.derivative;
* //preTangent.y *= groundNoiseAmplitude;
*
* //strokeTerrainArray[i].normal = new Vector3(-noiseSample.derivative.x, 1f, -noiseSample.derivative.z);
* //Vector3 cross = Vector3.Cross(strokeBackgroundArray[i].normal, noiseSample.derivative);
* strokeTerrainArray[i].tangent = Vector3.Cross(strokeTerrainArray[i].normal, noiseSample.derivative);
* strokeTerrainArray[i].dimensions = new Vector2(1f, 1f);
*
* }
* terrainStrokesBuffer.SetData(strokeTerrainArray);
*/
}
// ---------------------------------
// // SIMPLEX FUNCTIONS !!!
// ----------------------------------
private static NoiseSample Simplex1DPart(Vector3 point, int ix)
{
float x = point.x - ix; // get relative position of sample point with respect to base integer cell
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2; // falloff function f(0)=1, f(1)=0
float g = gradients1D [hash [ix & hashMask] & gradientsMask1D];
float v = g * x;
NoiseSample sample = new NoiseSample();
sample.value = v * f3; // multiply h hash value by f3, the contribution of h at this position.
sample.derivative.x = g * f3 - 6f * v * x * f2;
return(sample);
}
private static NoiseSample SimplexValue1DPart(Vector3 point, int ix)
{
float x = point.x - ix;
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2;
float h = PermutationTable[ix & hashMask];
NoiseSample sample = new NoiseSample();
sample.value = h * f3;
return(sample);
}
private static NoiseSample Simplex1DPart(Vector3 point, int ix)
{
float x = point.x - ix;
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2;
float g = gradients1D[hash[ix & hashMask] & gradientsMask1D];
float v = g * x;
NoiseSample sample = new NoiseSample();
sample.value = v * f3;
sample.derivative.x = g * f3 - 6f * v * x * f2;
return(sample);
}
public static NoiseSample Value2D(Vector3 point, float frequency, bool derivative)
{
point *= frequency;
int ix0 = Mathf.FloorToInt(point.x);
int iy0 = Mathf.FloorToInt(point.y);
float tx = point.x - ix0;
float ty = point.y - iy0;
ix0 &= hashMask;
iy0 &= hashMask;
int ix1 = ix0 + 1;
int iy1 = iy0 + 1;
int h0 = GameUtils.Hash[ix0];
int h1 = GameUtils.Hash[ix1];
int h00 = GameUtils.Hash[h0 + iy0];
int h10 = GameUtils.Hash[h1 + iy0];
int h01 = GameUtils.Hash[h0 + iy1];
int h11 = GameUtils.Hash[h1 + iy1];
float txs = GameUtils.Smooth(tx);
float tys = GameUtils.Smooth(ty);
float a = h00;
float b = h10 - h00;
float c = h01 - h00;
float d = h11 - h01 - h10 + h00;
NoiseSample sample = new NoiseSample();
sample.value = a + b * txs + (c + d * txs) * tys;
if (derivative)
{
float dtx = GameUtils.SmoothDerivative(tx);
float dty = GameUtils.SmoothDerivative(ty);
sample.derivative.x = (b + d * tys) * dtx;
sample.derivative.y = (c + d * txs) * dty;
sample.derivative.z = 0f;
sample.derivative *= frequency;
}
return(sample * (2f / hashMask) - 1f);
}
private void createNoiseAsset()
{
NoiseSample noiseSample = ScriptableObject.CreateInstance <NoiseSample> ();
noiseSample.setScale(scale);
noiseSample.setSaturation(saturation);
noiseSample.setNoiseScale(weight);
noiseSample.setPersistentSample(sample);
checkPath();
AssetDatabase.CreateAsset(noiseSample, "Assets/ProcedureTerrain/NoiseSample/" + name + ".asset");
//EditorUtility.SetDirty(sample3D);
AssetDatabase.SaveAssets();
}
public static NoiseSample Sum(NoiseMethod method, Vector3 point, float frequency, int octaves, float lacunarity, float persistence)
{
NoiseSample sum = method(point, frequency);
float amplitude = 1f;
float range = 1f;
for (int o = 1; o < octaves; o++)
{
frequency *= lacunarity;
amplitude *= persistence;
range += amplitude;
sum += method(point, frequency) * amplitude;
}
return(sum * (1f / range));
}
public float interpolateAt(NoiseSample sample, float x, float y, float z)
{
this.noiseSample = sample;
int X0 = fastFloor(x) % (sample.getSample().GetLength(0)-1);
int Y0 = fastFloor(y) % (sample.getSample().GetLength(1)-1);
int Z0 = fastFloor(z) % (sample.getSample().GetLength(2)-1);
x -= fastFloor (x);
y -= fastFloor (y);
z -= fastFloor (z);
float u = fade (x),
v = fade (y),
w = fade (z);
float interpolated = interpolateCube (X0, Y0, Z0, u, v, w);
return interpolated;
}
private static NoiseSample SimplexGradient1DPart(Vector3 point, int ix)
{
float x = point.x - ix;
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2;
float g = gradients1D[PermutationTable[ix & hashMask] & gradientsMask1D];
float v = g * x;
NoiseSample sample = new NoiseSample();
sample.value = v * f3;
return(sample);
}
// -------------------------
// // SIMPLEX VALUE NOISE FUNCTIONS:
// // ========================================================================================================
private static NoiseSample SimplexValue1DPart (Vector3 point, int ix) {
float x = point.x - ix; // get relative position of sample point with respect to base integer cell
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2; // falloff function f(0)=1, f(1)=0
float h = hash [ix & hashMask]; // get hashed (shuffled) value for this cell int
NoiseSample sample = new NoiseSample();
sample.value = h * f3; // multiply h hash value by f3, the contribution of h at this position.
sample.derivative.x = -6f * h * x * f2;
return sample;
}
private static NoiseSample Simplex1DPart(Vector3 point, int ix)
{
float x = point.x - ix;
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2;
float g = gradients1D[hash[ix & hashMask] & gradientsMask1D];
float v = g * x;
NoiseSample sample = new NoiseSample();
sample.value = v * f3;
sample.derivative.x = g * f3 - 6f * v * x * f2;
return sample;
}
private static NoiseSample SimplexValue1DPart(Vector3 point, int ix)
{
float x = point.x - ix;
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2;
float h = hash[ix & hashMask];
NoiseSample sample = new NoiseSample();
sample.value = h * f3;
sample.derivative.x = -6f * h * x * f2;
return sample;
}
public void addSample(NoiseSample sample)
{
samples.Add (sample);
}
// // 2D ========================================================================================================
public static NoiseSample SimplexValue2DPart (Vector3 point, int ix, int iy) {
float unskew = (ix + iy) * squaresToTriangles;
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float f = 0.5f - x * x - y * y; // 1 - x^2 - y^2
NoiseSample sample = new NoiseSample();
if (f > 0f) {
float f2 = f * f; // f^3
float f3 = f * f2;
float h = hash[hash[ix & hashMask] + iy & hashMask];
float h6f2 = -6f * h * f2;
sample.value = h * f3;
sample.derivative.x = h6f2 * x;
sample.derivative.y = h6f2 * y;
}
return sample;
}
// // 3D ========================================================================================================
private static NoiseSample SimplexValue3DPart (Vector3 point, int ix, int iy, int iz) {
float unskew = (ix + iy + iz) * (1f / 6f);
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float z = point.z - iz + unskew;
float f = 0.5f - x * x - y * y - z * z;
NoiseSample sample = new NoiseSample();
if (f > 0f) {
float f2 = f * f;
float f3 = f * f2;
float h = hash[hash[hash[ix & hashMask] + iy & hashMask] + iz & hashMask];
float h6f2 = -6f * h * f2;
sample.value = h * f3;
sample.derivative.x = h6f2 * x;
sample.derivative.y = h6f2 * y;
sample.derivative.z = h6f2 * z;
}
return sample;
}
// ---------------------------------
// // SIMPLEX FUNCTIONS !!!
// ----------------------------------
private static NoiseSample Simplex1DPart (Vector3 point, int ix) {
float x = point.x - ix; // get relative position of sample point with respect to base integer cell
float f = 1f - x * x;
float f2 = f * f;
float f3 = f * f2; // falloff function f(0)=1, f(1)=0
float g = gradients1D [hash [ix & hashMask] & gradientsMask1D];
float v = g * x;
NoiseSample sample = new NoiseSample();
sample.value = v * f3; // multiply h hash value by f3, the contribution of h at this position.
sample.derivative.x = g * f3 - 6f * v * x * f2;
return sample;
}
// // 2D ========================================================================================================
public static NoiseSample Simplex2DPart (Vector3 point, int ix, int iy) {
float unskew = (ix + iy) * squaresToTriangles;
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float f = 0.5f - x * x - y * y; // 1 - x^2 - y^2
NoiseSample sample = new NoiseSample();
if (f > 0f) {
float f2 = f * f; // f^3
float f3 = f * f2;
Vector2 g = gradients2D[hash[hash[ix & hashMask] + iy & hashMask] & gradientsMask2D];
float v = Dot(g, x, y);
float v6f2 = -6f * v * f2;
sample.value = v * f3;
sample.derivative.x = g.x * f3 * v6f2 * x;
sample.derivative.y = g.y * f3 + v6f2 * y;
}
return sample;
}
// // 3D ========================================================================================================
private static NoiseSample Simplex3DPart (Vector3 point, int ix, int iy, int iz) {
float unskew = (ix + iy + iz) * (1f / 6f);
float x = point.x - ix + unskew;
float y = point.y - iy + unskew;
float z = point.z - iz + unskew;
float f = 0.5f - x * x - y * y - z * z;
NoiseSample sample = new NoiseSample();
if (f > 0f) {
float f2 = f * f;
float f3 = f * f2;
Vector3 g = simplexGradients3D[hash[hash[hash[ix & hashMask] + iy & hashMask] + iz & hashMask] &
simplexGradientsMask3D];
float v = Dot(g, x, y, z);
float v6f2 = -6f * v * f2;
sample.value = v * f3;
sample.derivative.x = g.x * f3 + v6f2 * x;
sample.derivative.y = g.y * f3 + v6f2 * y;
sample.derivative.z = g.z * f3 + v6f2 * z;
}
return sample;
}