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Am I correct that the OpenGL depth buffer has values between 0 and 1 while the z component of gl_Position is between -1 and 1?

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Yes, gl_Position.z should be between [-1, 1] after dividing gl_Position.w, otherwise will be clipped. OpenGL will map [-1, 1] to [0, 1], use glDepthRange(near, far) can change the default value.

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