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Revision 1.1.1.1 (vendor branch), Sat Sep 9 14:12:37 2000 UTC (23 years, 9 months ago) by maekawa
Branch: GMP
CVS Tags: maekawa-ipv6, VERSION_3_1_1, VERSION_3_1, RELEASE_1_2_2, RELEASE_1_2_1, RELEASE_1_1_3
Changes since 1.1: +0 -0 lines

Import gmp 3.1

This directory contains mpn functions for 64-bit PA-RISC 2.0.

RELEVANT OPTIMIZATION ISSUES

The PA8000 has a multi-issue pipeline with large buffers for instructions
awaiting pending results.  Therefore, no latency scheduling is necessary
(and might actually be harmful).

Two 64-bit loads can be completed per cycle.  One 64-bit store can be
completed per cycle.  A store cannot complete in the same cycle as a load.

STATUS

* mpn_lshift, mpn_rshift, mpn_add_n, mpn_sub_n are all well-tuned and run at
  the peak cache bandwidth; 1.5 cycles/limb for shifting and 2.0 cycles/limb
  for add/subtract.

* The multiplication functions run at 11 cycles/limb.  The cache bandwidth
  allows 7.5 cycles/limb.  Perhaps it would be possible, using unrolling or
  better scheduling, to get closer to the cache bandwidth limit.

* xaddmul_1.S contains a quicker method for forming the 128 bit product.  It
  uses some fewer operations, and keep the carry flag live across the loop
  boundary.  But it seems hard to make it run more than 1/4 cycle faster
  than the old code.  Perhaps we really ought to unroll this loop be 2x?
  2x should suffice since register latency schedling is never needed,
  but the unrolling would hide the store-load latency.  Here is a sketch:

	1. A multiply and store 64-bit products
	2. B sum 64-bit products 128-bit product
	3. B load  64-bit products to integer registers
	4. B multiply and store 64-bit products
	5. A sum 64-bit products 128-bit product
	6. A load  64-bit products to integer registers
	7. goto 1

  In practice, adjacent groups (1 and 2, 2 and 3, etc) will be interleaved
  for better instruction mix.