I am trying to figure out the relationship between CGL and OpenGL on Mac platform.
More specifically about the context. Do they share context? If yes, how? Please give me a link to some related examples.
If no, then are there two contexts working in Core Animation applications which make use of OpenGL?
I am very confused by the use of OpenGL by Mac. Can somebody clarify?
CGL sets up device specific contexts suitable for OpenGL to render to. Compare to wgl and xgl on Windows and X respectively. CGL understands how to query the graphics hardware for its pixel format, and then how to set up and configure a context (e.g. double-buffered or single-buffered, what resolution depth, stencil, accumulation buffer, etc). But it doesn't provide functions to draw in that context. Once you have created the context with CGL, you make it current, and then you can call OpenGL to render in that context.
In Core Graphics (do not confuse it with CGL), both context initialization and drawing into the context are handled by the same framework. But because OpenGL is an open standard and designed to be cross-platform, the rendering functionality and the device context functionality have been abstracted into separate frameworks.
CGL is the low-level interface to OpenGL on a Mac. You probably don't want to be using it if you are writing an OpenGL Mac app. I am currently in the process of creating a intuitive OpenGL Mac application template for XCode 4, but in the mean time you can look at https://github.com/mk12/Pong-Ultimate, a pong clone I made using OpenGL. It uses NSOpenGL, a higher-level Cocoa interface to OpenGL.
You may also find the Apple docs helpful: http://developer.apple.com/library/mac/#documentation/GraphicsImaging/Conceptual/OpenGL-MacProgGuide/opengl_intro/opengl_intro.html.