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Graph coloring allocation is the predominant approach to solve register allocation.

Room coloring design. In this approach nodes in the graph represent live ranges variables temporaries virtualsymbolic registers that are candidates for register allocationedges connect live ranges that interfere ie live ranges that are simultaneously live at at least one program point. In case the compiler cant directly construct a k coloring for that graph it. Register allocation is also covered in some detail in the book advanced compiler design implementation by steven muchnick muchnick1997.

The hardware and software design co evolved through evolutionary experimental design. For anyone actually implementing a graph coloring register allocator briggs thesis is an absolute must read. To make the decision about allocation and assignments global allocator mostly uses graph coloring by building an interference graph.

We believed in eating our own cooking and we had a prototype of the compiler up and running almost immediately. Register allocator then attempts to construct a k coloring for that graph where k is the no. Because of the central role that register allocation plays both in speeding up the code and in making other optimizations useful it is one of the most importantif not the most importantoptimizations.

John had recruited me to invent a new graph coloring register. Based on graph theory graph coloring assigns colors to each node such that no two adjacent nodes share the same color. I kept experimenting with the register allocation and redid the whole thing many times.

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