Hi Leslie,
I suggest adding these 3 papers to your reading list.
Register allocation for programs in SSA-form
Sebastian Hack, Daniel Grund, and Gerhard Goos
http://www.rw.cdl.uni-saarland.de/~grund/papers/cc06-ra_ssa.pdf
Simple and Efficient Construction of Static Single Assignment Form
Matthias Braun , Sebastian Buchwald , Sebastian Hack , Roland Leißa ,
Christoph Mallon , and Andreas Zwinkau
https://www.info.uni-karlsruhe.de/uploads/publikationen/braun13cc.pdf
Optimal register allocation for SSA-form programs in polynomial time
Sebastian Hack, Gerhard Goos
http://web.cs.ucla.edu/~palsberg/course/cs232/papers/HackGoos-ipl06.pdf
A lot of the earlier literature regarding the register allocation problem
describes the general graph colouring problem as NP-complete, however previous
research in Register Allocation has been in the context of programs that were
not in SSA form. i.e. the Chaitin-Briggs paper states that register allocation
is NP-complete and proposes an iterative algorithm.
If one reads Hack Goos, there is the discovery that programs that are in SSA
form have chordal graphs, and the colouring algorithm for chordal graphs can be
completed in polynomial time. After the cost of building the interference
graph, it is possible to perform register allocation in a single pass. The key
is in not modifying the graph.
If one has frequency for each basic block, then one can sort basic blocks by
frequency, allocating the highest frequency blocks first, and where possible
assigning the same physcial register to all virtual registers in each phi node
(to avoid copies). At program points where the live set is larger than k, the
set of physical registers, one spills the the register that has the largest
distance between its next use. At least that is how I am thinking about this
problem. I am also a novice with regards to register allocation.
I intend to develop a register allocator for use in this JIT engine:
rv8: a high performance RISC-V to x86 binary translator
Michael Clark, Bruce Hoult
https://carrv.github.io/papers/clark-rv8-carrv2017.pdf
Our JIT already performs almost twice as fast a QEMU and we are using a static
register allocation, and QEMU i believe has a register allocator. We are
mapping a 31 register RISC architecture to a 16 register CISC architecture. I
have statistics on the current slow-down, and it appears to mainly be L1
accesses to spilled registers. I believe after we have implemented a register
allocator in our JIT we will be able to run RISC-V binaries at near native
performance on x86-64. In fact given we are performing runtime profile guided
optimisation, it may even be possible for some benchmarks to run faster than
register allocations that are based on static estimates of loop frequencies.
https://anarch128.org/~mclark/rv8-slides.pdf
https://rv8.io/bench
We’ve still got a long way to go to get to ~1:1 performance for RISC-V on
x86-64, but I think it is possible, at least for some codes…
Regards,
Michael.
> On 15/12/2017, at 4:18 PM, Leslie Zhai <[email protected]> wrote:
>
> Hi GCC and LLVM developers,
>
> I am learning Register Allocation algorithms and I am clear that:
>
> * Unlimited VirtReg (pseudo) -> limited or fixed or alias[1] PhysReg (hard)
>
> * Memory (20 - 100 cycles) is expensive than Register (1 cycle), but it has
> to spill code when PhysReg is unavailable
>
> * Folding spill code into instructions, handling register coallescing,
> splitting live ranges, doing rematerialization, doing shrink wrapping are
> harder than RegAlloc
>
> * LRA and IRA is default Passes in RA for GCC:
>
> $ /opt/gcc-git/bin/gcc hello.c
> DEBUG: ../../gcc/lra.c, lra_init_once, line 2441
> DEBUG: ../../gcc/ira-build.c, ira_build, line 3409
>
> * Greedy is default Pass for LLVM
>
> But I have some questions, please give me some hint, thanks a lot!
>
> * IRA is regional register allocator performing graph coloring on a top-down
> traversal of nested regions, is it Global? compares with Local LRA
>
> * The papers by Briggs and Chaiten contradict[2] themselves when examine the
> text of the paper vs. the pseudocode provided?
>
> * Why interference graph is expensive to build[3]?
>
> And I am practicing[4] to use HEA, developed by Dr. Rhydian Lewis, for LLVM
> firstly.
>
>
> [1] https://reviews.llvm.org/D39712
>
> [2] http://lists.llvm.org/pipermail/llvm-dev/2008-March/012940.html
>
> [3] https://github.com/joaotavio/llvm-register-allocator
>
> [4] https://github.com/xiangzhai/llvm/tree/avr/include/llvm/CodeGen/GCol
>
> --
> Regards,
> Leslie Zhai - https://reviews.llvm.org/p/xiangzhai/
>
>
>