Redo of render paths

res/shaders/lib/Common.slang

@@ -0,0 +1,62 @@
+const static float PI = 3.1415926535897932f;
+const static uint MAX_PARTICLES = 65536;
+const static uint BLOCK_SIZE = 8;
+
+cbuffer ScreenToViewParams
+{
+	float4x4 inverseProjection;
+	float2 screenDimensions;
+}
+
+// Convert clip space coordinates to view space
+float4 clipToView( float4 clip )
+{
+    // View space position.
+    float4 view = mul( inverseProjection, clip );
+    // Perspective projection.
+    view = view / view.w;
+ 
+    return view;
+}
+ 
+// Convert screen space coordinates to view space.
+float4 screenToView( float4 screen )
+{
+    // Convert to normalized texture coordinates
+    float2 texCoord = screen.xy / screenDimensions;
+ 
+    // Convert to clip space
+    float4 clip = float4( float2( texCoord.x, -texCoord.y ) * 2.0f - 1.0f, screen.z, screen.w );
+ 
+    return clipToView( clip );
+}
+
+struct Plane
+{
+	float3 n;
+	float d;
+    float3 p0;
+    float3 p1;
+    float3 p2;
+};
+
+struct Frustum
+{
+	Plane planes[4];
+};
+Plane computePlane(float3 p0, float3 p1, float3 p2)
+{
+	Plane plane;
+
+	float3 v0 = p2 - p0;
+	float3 v2 = p1 - p0;
+
+	plane.n = normalize(cross(v0, v2));
+
+	plane.d = dot(plane.n, p0);
+    plane.p0 = p0;
+    plane.p1 = p1;
+    plane.p2 = p2;
+
+	return plane;
+}