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diff --git a/mpi/alpha/README b/mpi/alpha/README new file mode 100644 index 0000000..55c0a29 --- /dev/null +++ b/mpi/alpha/README @@ -0,0 +1,53 @@ +This directory contains mpn functions optimized for DEC Alpha processors. + +RELEVANT OPTIMIZATION ISSUES + +EV4 + +1. This chip has very limited store bandwidth. The on-chip L1 cache is +write-through, and a cache line is transfered from the store buffer to the +off-chip L2 in as much 15 cycles on most systems. This delay hurts +mpn_add_n, mpn_sub_n, mpn_lshift, and mpn_rshift. + +2. Pairing is possible between memory instructions and integer arithmetic +instructions. + +3. mulq and umulh is documented to have a latency of 23 cycles, but 2 of +these cycles are pipelined. Thus, multiply instructions can be issued at a +rate of one each 21nd cycle. + +EV5 + +1. The memory bandwidth of this chip seems excellent, both for loads and +stores. Even when the working set is larger than the on-chip L1 and L2 +caches, the perfromance remain almost unaffected. + +2. mulq has a measured latency of 13 cycles and an issue rate of 1 each 8th +cycle. umulh has a measured latency of 15 cycles and an issue rate of 1 +each 10th cycle. But the exact timing is somewhat confusing. + +3. mpn_add_n. With 4-fold unrolling, we need 37 instructions, whereof 12 + are memory operations. This will take at least + ceil(37/2) [dual issue] + 1 [taken branch] = 20 cycles + We have 12 memory cycles, plus 4 after-store conflict cycles, or 16 data + cache cycles, which should be completely hidden in the 20 issue cycles. + The computation is inherently serial, with these dependencies: + addq + / \ + addq cmpult + | | + cmpult | + \ / + or + I.e., there is a 4 cycle path for each limb, making 16 cycles the absolute + minimum. We could replace the `or' with a cmoveq/cmovne, which would save + a cycle on EV5, but that might waste a cycle on EV4. Also, cmov takes 2 + cycles. + addq + / \ + addq cmpult + | \ + cmpult -> cmovne + +STATUS + |