In Minecraft for example, you can place torches anywhere and each one effects the light level in the world and there is no limit to the amount of torches / light sources you can put down in the world. I am 99% sure that the lighting for the torches is taken care of on the CPU and stored for each block and so when rendering the light value at that certain block just needs to be passed into the shader, but light sources cannot move for this reason. If you had a game where you could place light sources that could move around (arrow on fire, minecart with a light on it, glowing ball of energy) and the lighting wasn't as simple (color was included) what are the most efficient ways to calculate the lighting effects.
From my research I have found differed rendering, differed lighting, dynamically creating shaders with different amounts of lights available and using a for loop (can't use uniforms due to unrolling), and static light maps (these would probably only be used for the still lights). Are there any other ways to do lighting calculations such as doing what minecraft does except allowing moving lights, or is it possible to take an infinite amount of lights and mathematically combine them into an approximation that only involves a few lights (this is an idea I came up with but I can't figure out how it could be done)?
If it helps, I am a programmer with decent experience in OpenGL (legacy and modern) so you can give me code snippets although I have not done too much with lighting so brief explanations would be appreciated. I am also willing to do research if you can point me in the right direction!
Your title is a bit misleading
infinite light
implies directional light in infinite distance like Sun. I would useunlimited number of lights
instead. Here some approaches for this I know of:(back) ray-tracers
they can handle any number of light sources natively. Light is just another object in engine. If ray hits the light source it just take the light intensity and stop the recursion. Unfortunately current gfx hardware is not suited for this kind of rendering. There are GPU enhanced engines for this but the specialized gfx HW is still in development and did not hit the market yet. Memory requirements are not much different then standard BR rendering and You can still use BR meshes but mathematical (analytical) meshes are natively supported and are better for this.
Standard BR rendering
BR means
boundary representation
such engines (Like OpenGL fixed function) can handle only limited number of lights. This is because each primitive/fragment needs the complete list of lights and the computations are done for all light on per primitive or per fragment basis. If you got many light this would be slow.Also the current GPU's have limited memory for uniforms (registers) in which the lights and other rendering parameters are stored so there are possible workarounds like have light parameters stored in a texture and iterate over all of them per primitive/fragment inside GLSL shader but the number of lights affect performance of coarse so you are limited by target frame-rate and computational power. Additional memory requirements for this is just the texture with light parameters which is not so much (few vectors per light).
light maps
they can be computed even for moving objects. Complex light maps can be computed slowly (not per frame). This leads to small lighting artifacts but you need to know what to look for to spot it. Light maps and shadow maps are very similar and often computed at once. There are simple light maps and complex radiation maps models out there
These are either:
Some approaches uses pre-rendered Z-Buffer as geometry source and then fill the lights via Radiosity or any other technique. These can handle any number of lights as these maps can be computation demanding they are often computed in the background and updated once in a while.
fast moving light sources are usually updated more often or excluded from maps and rendered as transparent geometry to make impression of light. The computational power needed for this depends on the computation method the basic are done like:
So you need to render scene more then once per frame/map update and also need additional buffers to store the rendered result which for high resolution or Voxel maps can be a big chunk of memory.
multi pass light layer
there are cases when light is added after rendering of the scene for example I used it for
Here comes all multi pass rendering techniques you need additional buffers to store the sub results and usually the multi pass rendering is done on the same view/scene so pre-rendered geometry is used which significantly speeds this up either as locked VAO or as already rendered Z-buffer Color and Index buffers from first pass. After this handle next passes as single or few Quads (like in the Atmospheric scattering link) so the computational power needed for this is not much bigger in comparison to basic BR rendering
forward rendering vs. deferred-rendering
in a google this forward rendering vs. deferred-rendering is first relevant hit I found. It is not very good one (a bit to vague for my taste) but for starters it is enough
The link suggest that for high lights number is the deffered rendering more suited but that strongly depends on which of the previous technique is used. Usually the multi pass light layer is used (with is one of the standard deffered rendering techniques) so in that case it is true, and the memory and computational power demands are the same see the previous section.