1. UW EXTENSION CERTIFICATE PROGRAM IN GAME DEVELOPMENT 2 ND QUARTER: ADVANCED GRAPHICS D3DX introduction and math

2. Goals 1. Introduction to the D3DX library 2. Review the math functions offered by D3DX

3. D3DX utilities library  Useful stuff that doesn’t relate directly to the GPU  3D math functions  Higher-level geometry representations  Shader compiler/assembler  Text rendering  Animation  Various helper functions  Generally not used in high-performance games  Some functions still very useful

4. D3DX portability issue  Not generally portable  Other target platforms might not have these utilities!  For multi-platform games you’ll need an alternative  Use a portable all-in-one engine For instance Unreal Engine or CryENGINE  Develop your own common wrapper  Develop your own utilities

5. D3DX vector math  D3DXCOLOR – float RGBA (D3DXColorXXX)  Add, subtract, multiply (modulate, scale), lerp…  D3DXVECTOR# – 2D to 4D vectors (D3DXVecXXX)  Add, subtract, multiply (dot, cross, scale), min, max  Interpolate (lerp, hermite, catmull-rom)  Length, normalize, project, transform  D3DXMATRIX – 4x4 matrices (D3DXMatrixXXX)  Add, subtract, multiply, scale, inverse, transpose  Creation functions: transformation, projection, euler…

6. D3DX more math  D3DXQUATERNION – Quaternions (rotations)  Multiply, inverse, conjugate, dot, exponential, logarithm  Length, normalize, rotation, slerp  D3DXPLANE – infinite 3D dividers  Dot, scale, normalize, transform, intersect  Spherical harmonics – Direction-dependent functions  Add, multiply, dot, scale, eval, rotate, project  Other functions  16-bit float, fresnel formula