# 3D

## Links

* [DirectX10 Tutorial 8: Lighting Theory and HLSL](http://takinginitiative.wordpress.com/2010/08/30/directx-10-tutorial-8-lighting-theory-and-hlsl/)
* [Forward Rendering vs. Deferred Rendering](http://gamedevelopment.tutsplus.com/articles/forward-rendering-vs-deferred-rendering--gamedev-12342)
* [Deferred Shading in Tabula Rasa](http://http.developer.nvidia.com/GPUGems3/gpugems3_ch19.html)

## Matrix

	Projection = Float4x4.CreatePerspectiveFieldOfView(fieldOfView, aspectRatio, nearPlaneDistance, farPlaneDistance);
	View       = Float4x4.CreateLookAt(cameraPosition, cameraTarget, cameraUpVector);
	World      = Float4x4.CreateWorld(position, forward, up);
	
	ViewProjection = View * Projection;
	WorldViewProjection = World * ViewProjection;
	effect.WorldViewProj = WorldViewProjection;

### CreatePerspectiveFieldOfView

	public static Float4x4 CreatePerspectiveFieldOfView(float fieldOfView, float aspectRatio, float nearPlaneDistance, float farPlaneDistance)
	{
		Float4x4 matrix;
		if ((fieldOfView <= 0f) || (fieldOfView >= 3.141593f))
		{
			throw new ArgumentOutOfRangeException("fieldOfView", string.Format(CultureInfo.CurrentCulture, FrameworkResources.OutRangeFieldOfView, new object[] {"fieldOfView"}));
		}
		if (nearPlaneDistance <= 0f)
		{
			throw new ArgumentOutOfRangeException("nearPlaneDistance", string.Format(CultureInfo.CurrentCulture, FrameworkResources.NegativePlaneDistance, new object[] {"nearPlaneDistance"}));
		}
		if (farPlaneDistance <= 0f)
		{
			throw new ArgumentOutOfRangeException("farPlaneDistance", string.Format(CultureInfo.CurrentCulture, FrameworkResources.NegativePlaneDistance, new object[] {"farPlaneDistance"}));
		}
		if (nearPlaneDistance >= farPlaneDistance)
		{
			throw new ArgumentOutOfRangeException("nearPlaneDistance", FrameworkResources.OppositePlanes);
		}
		float num = 1f/((float) Math.Tan((fieldOfView*0.5f)));
		float num9 = num/aspectRatio;
		matrix.M11 = num9;
		matrix.M12 = matrix.M13 = matrix.M14 = 0f;
		matrix.M22 = num;
		matrix.M21 = matrix.M23 = matrix.M24 = 0f;
		matrix.M31 = matrix.M32 = 0f;
		matrix.M33 = farPlaneDistance/(nearPlaneDistance - farPlaneDistance);
		matrix.M34 = -1f;
		matrix.M41 = matrix.M42 = matrix.M44 = 0f;
		matrix.M43 = (nearPlaneDistance*farPlaneDistance)/(nearPlaneDistance - farPlaneDistance);
		return matrix;
	}

### CreateLookAt

	public static Float4x4 CreateLookAt(Float3 cameraPosition, Float3 cameraTarget, Float3 cameraUpVector)
	{
		Float4x4 matrix;
		var vector = Float3.Normalize(cameraPosition - cameraTarget);
		var vector2 = Float3.Normalize(Float3.Cross(cameraUpVector, vector));
		var float3 = Float3.Cross(vector, vector2);
		matrix.M11 = vector2.X;
		matrix.M12 = float3.X;
		matrix.M13 = vector.X;
		matrix.M14 = 0f;
		matrix.M21 = vector2.Y;
		matrix.M22 = float3.Y;
		matrix.M23 = vector.Y;
		matrix.M24 = 0f;
		matrix.M31 = vector2.Z;
		matrix.M32 = float3.Z;
		matrix.M33 = vector.Z;
		matrix.M34 = 0f;
		matrix.M41 = -Float3.Dot(vector2, cameraPosition);
		matrix.M42 = -Float3.Dot(float3, cameraPosition);
		matrix.M43 = -Float3.Dot(vector, cameraPosition);
		matrix.M44 = 1f;
		return matrix;
	}

### CreateWorld

	public static Float4x4 CreateWorld(Float3 position, Float3 forward, Float3 up)
	{
		Float4x4 matrix;
		var vector = Float3.Normalize(-forward);
		var vector2 = Float3.Normalize(Float3.Cross(up, vector));
		var float3 = Float3.Cross(vector, vector2);
		matrix.M11 = vector2.X;
		matrix.M12 = vector2.Y;
		matrix.M13 = vector2.Z;
		matrix.M14 = 0f;
		matrix.M21 = float3.X;
		matrix.M22 = float3.Y;
		matrix.M23 = float3.Z;
		matrix.M24 = 0f;
		matrix.M31 = vector.X;
		matrix.M32 = vector.Y;
		matrix.M33 = vector.Z;
		matrix.M34 = 0f;
		matrix.M41 = position.X;
		matrix.M42 = position.Y;
		matrix.M43 = position.Z;
		matrix.M44 = 1f;
		return matrix;
	}