cube now spinn in 3d

Sources/Voxelotl/CMakeLists.txt

@@ -6,6 +6,9 @@ add_executable(Voxelotl MACOSX_BUNDLE
   shadertypes.h
   shader.metal
 
+  FloatExtensions.swift
+  Matrix4x4.swift
+
   NSImageLoader.swift
   Renderer.swift
   FPSCalculator.swift

Sources/Voxelotl/FloatExtensions.swift

@@ -0,0 +1,4 @@
+public extension FloatingPoint {
+  @inline(__always) var degrees: Self { self * (180 / Self.pi) }
+  @inline(__always) var radians: Self { self * (Self.pi / 180) }
+}

Sources/Voxelotl/Matrix4x4.swift

@@ -0,0 +1,60 @@
+import simd
+
+public extension simd_float4x4 {
+  typealias T = Float
+
+  @inline(__always) static var identity: Self { matrix_identity_float4x4 }
+
+  @inline(__always) static func translate(_ v: SIMD3<T>) -> Self {
+    Self(
+      .init(  1,   0,   0, 0),
+      .init(  0,   1,   0, 0),
+      .init(  0,   0,   1, 0),
+      .init(v.x, v.y, v.z, 1))
+  }
+
+  @inline(__always) static func scale(_ v: SIMD3<T>) -> Self { Self(diagonal: .init(v.x, v.y, v.z, 1)) }
+  @inline(__always) static func scale(_ s: T) -> Self { Self(diagonal: .init(s, s, s, 1)) }
+
+  static func rotate(x theta: T) -> Self {
+    let c = cos(theta), s = sin(theta)
+    return Self(
+      .init(1,  0, 0, 0),
+      .init(0,  c, s, 0),
+      .init(0, -s, c, 0),
+      .init(0,  0, 0, 1))
+  }
+
+  static func rotate(y theta: T) -> Self {
+    let c = cos(theta), s = sin(theta)
+    return Self(
+      .init(c, 0, -s, 0),
+      .init(0, 1,  0, 0),
+      .init(s, 0,  c, 0),
+      .init(0, 0,  0, 1))
+  }
+
+  static func rotate(z theta: T) -> Self {
+    let c = cos(theta), s = sin(theta)
+    return Self(
+      .init(c, -s, 0, 0),
+      .init(s,  c, 0, 0),
+      .init(0,  0, 1, 0),
+      .init(0,  0, 0, 1))
+  }
+
+  static func perspective(verticalFov: T, aspect: T, near: T, far: T) -> Self {
+    let h = 1 / tan(verticalFov * T(0.5))
+    let w = h / aspect
+
+    let invClipRange = 1 / (far - near)
+    let z = -(far + near) * invClipRange
+    let z2 = -(2 * far * near) * invClipRange
+
+    return .init(
+      .init(w, 0,  0,  0),
+      .init(0, h,  0,  0),
+      .init(0, 0,  z, -1),
+      .init(0, 0, z2,  0))
+  }
+}

Sources/Voxelotl/Renderer.swift

@@ -217,10 +217,23 @@ class Renderer {
       zfar: -1.0)
   }
 
+  var time: Float = 0  //FIXME: temp
+
   func paint() throws {
-    var uniforms = ShaderUniforms(
-      model: .init(diagonal: .init(0.5, 0.5, 0.5, 1.0)),
-      projView: matrix_identity_float4x4)
+    let projection = matrix_float4x4.perspective(
+      verticalFov: Float(90.0).radians,
+      aspect: Float(self.viewport.width / self.viewport.height),
+      near: 0.1,
+      far: 10)
+    let view = matrix_float4x4.identity
+    let model: matrix_float4x4 =
+      .translate(.init(0, sin(time * 0.5) * 0.5, -2)) *
+      .scale(0.5) *
+      .rotate(y: time)
+
+    time += 0.025
+
+    var uniforms = ShaderUniforms(model: model, projView: projection * view)
 
     guard let rt = layer.nextDrawable() else {
       throw RendererError.drawFailure("Failed to get next drawable render target")