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- tonfa> The best assignment is NP-hard to find, so all practical allocators use heuristics.That said if you do the register allocation while the program is still in SSA form, it becomes polynomial (interference graph is a chordal graph).https://compilers.cs.uni-saarland.de/projects/ssara/
- ndesaulniersThis is a great high level overview of some the techniques and problems encountered with developing a register allocator!LLVM 's FastRegAlloc also uses linear scan.