So I am using this tutorial: http://www.rastertek.com/dx11tut03.html
The file d3dx10math.h doesn't seem to exist, which causes some errors. What should I use instead?
d3dx10math.h not found?
Are you using the older June 2010 SDK, or are you using the new version of DX that's included in the Windows 8 SDK? Because if it's the latter, there is no more D3DX.
If you want to stay on the DirectX side, use DirectXMath, its the new maths core for windows 8 (supersedes XNAMath). just read the docs carefully before hand, it has a few traps, such as alignment that may catch you out (also it doesn't support C or any compiler before VS 2012, though technically you can get it working on VS2010, which is what I do)
What should be used instead then?
I just made my own math library using typedef because I want functions with return values and I have enough dependencies in my project.
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