terrain height maps using noise, meshes with child meshes

assets/models/test.json

@@ -27,17 +27,17 @@
 			{
 				 "name": "Circle"
 				,"transformation": [
-					 1
+					 1.29986
 					,0
 					,0
 					,0
 					,0
-					,1
+					,1.29986
 					,0
 					,0
 					,0
 					,0
-					,1
+					,1.29986
 					,0
 					,0
 					,0

src/engine/components/terrain/heightmap.js

@@ -43,29 +43,48 @@ class HeightMap {
 }
 
 class SimplexHeightMap extends HeightMap {
-  constructor (offsetX, offsetY, size, seed) {
+  // amplitude    - Controls the amount the height changes. The higher, the taller the hills.
+  // persistence  - Controls details, value in [0,1]. Higher increases grain, lower increases smoothness.
+  // octaves      - Number of noise layers
+  // period       - Distance above which we start to see similarities. The higher, the longer "hills" will be on a terrain.
+  // lacunarity   - Controls period change across octaves. 2 is usually a good value to address all detail levels.
+  constructor (offsetX, offsetY, size, seed, amplitude = 15, persistence = 0.4, octaves = 5, period = 80, lacunarity = 2) {
     super(size)
     this.ix = offsetX
     this.iy = offsetY
     this.seed = seed
 
     this.osn = new OpenSimplexNoise(seed)
+
+    this.amplitude = amplitude
+    this.period = period
+    this.lacunarity = lacunarity
+    this.octaves = octaves
+    this.persistence = persistence
   }
 
-  getNoise (relX, relY) {
+  getNoise (zx, zy) {
-    let x = ((this.ix * this.size) + relX) / this.size - 0.5
+    let x = ((this.size * this.ix) + zx) / this.period
-    let y = ((this.iy * this.size) + relY) / this.size - 0.5
+    let y = ((this.size * this.iy) + zy) / this.period
 
-    let total = this.osn.noise2D(2 * x, 2 * y) +
+    let amp = 1.0
-      0.5 * this.osn.noise2D(4 * x, 4 * y) +
+    let max = 1.0
-      0.25 * this.osn.noise2D(2 * x, 2 * y)
+    let sum = this.osn.noise2D(x, y)
 
-    total *= 10
+    let i = 0
-    return total
+    while (++i < this.octaves) {
+      x *= this.lacunarity
+      y *= this.lacunarity
+      amp *= this.persistence
+      max += amp
+      sum += this.osn.noise2D(x, y) * amp
+    }
+
+    return sum / max
   }
 
   getHeight (x, y) {
-    return this.getNoise(x, y)
+    return this.getNoise(x, y) * this.amplitude
   }
 }
 

src/engine/mesh/index.js

@@ -1,13 +1,53 @@
 import Resource from '../resource'
 import { Texture, Material } from './material'
-import { mat4 } from 'gl-matrix'
+import { mat4, quat, vec3 } from 'gl-matrix'
 
 let meshCache = {}
 
+/**
+ * Returns an euler angle representation of a quaternion
+ * @param  {vec3} out Euler angles, pitch-yaw-roll
+ * @param  {quat} mat Quaternion
+ * @return {vec3} out
+ */
+quat.getEuler = function (out, quat) {
+  let x = quat[0]
+  let y = quat[1]
+  let z = quat[2]
+  let w = quat[3]
+  let x2 = x * x
+  let y2 = y * y
+  let z2 = z * z
+  let w2 = w * w
+  let unit = x2 + y2 + z2 + w2
+  let test = x * w - y * z
+  if (test > 0.499995 * unit) {
+    // singularity at the north pole
+    out[0] = Math.PI / 2
+    out[1] = 2 * Math.atan2(y, x)
+    out[2] = 0
+  } else if (test < -0.499995 * unit) {
+    // singularity at the south pole
+    out[0] = -Math.PI / 2
+    out[1] = 2 * Math.atan2(y, x)
+    out[2] = 0
+  } else {
+    out[0] = Math.asin(2 * (x * z - w * y))
+    out[1] = Math.atan2(2 * (x * w + y * z), 1 - 2 * (z2 + w2))
+    out[2] = Math.atan2(2 * (x * y + z * w), 1 - 2 * (y2 + z2))
+  }
+  return out
+}
+
 class Node {
   constructor (pos, scale, rotation) {
+    // Translation
     this.pos = pos || [0.0, 0.0, 0.0]
+
+    // Scaling
     this.scale = scale || [1.0, 1.0, 1.0]
+
+    // Rotation in Euler angles (yaw, pitch, roll) in radians
     this.rotation = rotation || [0.0, 0.0, 0.0]
 
     this.transform = mat4.create()
@@ -55,12 +95,35 @@ class Node {
     }
   }
 
+  setTransformation (transform) {
+    let quaternion = quat.create()
+    let translation = vec3.create()
+    let rotation = vec3.create()
+    let scale = vec3.create()
+
+    mat4.getTranslation(translation, transform)
+    mat4.getScaling(scale, transform)
+    mat4.getRotation(quaternion, transform)
+
+    quat.getEuler(rotation, quaternion)
+
+    this.rotation = rotation
+    this.pos = translation
+    this.scale = scale
+
+    this.updateTransform()
+  }
+
   // Setters
   setPosition (newPos) {
     this.pos = newPos
     this.updateTransform()
   }
 
+  setTranslation (newTrans) {
+    this.setPosition(newTrans)
+  }
+
   setScale (newScale) {
     this.scale = newScale
     this.updateTransform()
@@ -99,6 +162,10 @@ class Node {
     return this.pos
   }
 
+  get translation () {
+    return this.pos
+  }
+
   // Draw base
   draw (gl, shader) {
     // Set model transform matrix uniform
@@ -132,7 +199,7 @@ class Mesh extends Node {
     gl.bufferData(gl.ELEMENT_ARRAY_BUFFER, new Uint16Array(indices), gl.STATIC_DRAW)
 
     let mesh = new Mesh()
-    mesh.pos = pos
+    mesh.posBuffer = pos
     mesh.ebo = ebo
     mesh.indices = indices.length
 
@@ -219,7 +286,8 @@ class Mesh extends Node {
       })
     }
 
-    let finished = []
+    // Load everything
+    let loadComplete = []
     for (let i in cleaned) {
       let meshdata = cleaned[i]
       let mesh = Mesh.construct(gl, meshdata.vertices, meshdata.indices,
@@ -235,7 +303,37 @@ class Mesh extends Node {
         }
       }
 
-      finished.push(mesh)
+      loadComplete.push(mesh)
+    }
+
+    // Now, we need to give the meshes the appropriate parents and transforms.
+    let finished = []
+    function setChildren (parent, chMeshes) {
+      let meshIndex = chMeshes.meshes[0]
+      let mesh = loadComplete[meshIndex]
+
+      if (chMeshes.children) {
+        for (let i in chMeshes.children) {
+          if (!chMeshes.children[i].meshes) continue
+          setChildren(mesh, chMeshes.children[i])
+        }
+      }
+
+      mesh.name = chMeshes.name
+
+      if (parent == null) {
+        finished.push(mesh)
+      } else {
+        parent.children.push(mesh)
+        mesh.parent = parent
+        mesh.setTransformation(chMeshes.transformation)
+      }
+    }
+
+    let rootchildren = dat.rootnode.children
+    for (let j in rootchildren) {
+      if (!rootchildren[j].meshes) continue
+      setChildren(null, rootchildren[j])
     }
 
     // Cache the mesh
@@ -245,7 +343,7 @@ class Mesh extends Node {
   }
 
   bindBuffers (gl, shader) {
-    gl.bindBuffer(gl.ARRAY_BUFFER, this.pos)
+    gl.bindBuffer(gl.ARRAY_BUFFER, this.posBuffer)
     shader.setAttribute(gl, 'aVertexPosition', 3, false, 3 * Float32Array.BYTES_PER_ELEMENT, 0)
 
     if (this.nms && shader.hasAttribute(gl, 'aNormal')) {

src/index.js

@@ -1,6 +1,6 @@
 import Engine from './engine'
 import Camera from './engine/camera'
-// import Entity from './engine/mesh/entity'
+import Entity from './engine/mesh/entity'
 
 import { Environment } from './engine/environment'
 import { Terrain } from './engine/components/terrain'
@@ -11,10 +11,12 @@ let game = new Engine()
 let env = new Environment()
 
 async function pipeline () {
-  // let entity = await Entity.createEntity(game.gl, 'test', [0.0, 0.0, -6.0])
+  let entity = await Entity.createEntity(game.gl, 'test', [0.0, 0.0, -6.0])
-  // let shader = await game.shaders.createShaderFromFiles(game.gl, 'basic', false)
+  let shader = await game.shaders.createShaderFromFiles(game.gl, 'basic', false)
   let terrainShader = await game.shaders.createShaderFromFiles(game.gl, 'terrain', false)
 
+  console.log(entity.mesh)
+
   // Create a height map based on OpenSimplex noise
   let hmap = new SimplexHeightMap(1, 1, 256, 50)
 
@@ -53,6 +55,10 @@ async function pipeline () {
 
   // Render function for the triangle
   game.addRenderFunction(function (gl) {
+    shader.use(gl)
+    cam.draw(gl, shader)
+    entity.draw(gl, shader)
+
     // Use terrain shader
     terrainShader.use(gl)