README revision 1.1.1.2
1 1.1 mrg Copyright 2000, 2001 Free Software Foundation, Inc. 2 1.1 mrg 3 1.1 mrg This file is part of the GNU MP Library. 4 1.1 mrg 5 1.1 mrg The GNU MP Library is free software; you can redistribute it and/or modify 6 1.1 mrg it under the terms of the GNU Lesser General Public License as published by 7 1.1 mrg the Free Software Foundation; either version 3 of the License, or (at your 8 1.1 mrg option) any later version. 9 1.1 mrg 10 1.1 mrg The GNU MP Library is distributed in the hope that it will be useful, but 11 1.1 mrg WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 12 1.1 mrg or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public 13 1.1 mrg License for more details. 14 1.1 mrg 15 1.1 mrg You should have received a copy of the GNU Lesser General Public License 16 1.1 mrg along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. 17 1.1 mrg 18 1.1 mrg 19 1.1 mrg 20 1.1 mrg 21 1.1 mrg 22 1.1 mrg INTEL P6 MPN SUBROUTINES 23 1.1 mrg 24 1.1 mrg 25 1.1 mrg 26 1.1 mrg This directory contains code optimized for Intel P6 class CPUs, meaning 27 1.1 mrg PentiumPro, Pentium II and Pentium III. The mmx and p3mmx subdirectories 28 1.1 mrg have routines using MMX instructions. 29 1.1 mrg 30 1.1 mrg 31 1.1 mrg 32 1.1 mrg STATUS 33 1.1 mrg 34 1.1 mrg Times for the loops, with all code and data in L1 cache, are as follows. 35 1.1 mrg Some of these might be able to be improved. 36 1.1 mrg 37 1.1 mrg cycles/limb 38 1.1 mrg 39 1.1 mrg mpn_add_n/sub_n 3.7 40 1.1 mrg 41 1.1 mrg mpn_copyi 0.75 42 1.1 mrg mpn_copyd 1.75 (or 0.75 if no overlap) 43 1.1 mrg 44 1.1 mrg mpn_divrem_1 39.0 45 1.1 mrg mpn_mod_1 21.5 46 1.1 mrg mpn_divexact_by3 8.5 47 1.1 mrg 48 1.1 mrg mpn_mul_1 5.5 49 1.1 mrg mpn_addmul/submul_1 6.35 50 1.1 mrg 51 1.1 mrg mpn_l/rshift 2.5 52 1.1 mrg 53 1.1 mrg mpn_mul_basecase 8.2 cycles/crossproduct (approx) 54 1.1 mrg mpn_sqr_basecase 4.0 cycles/crossproduct (approx) 55 1.1.1.2 mrg or 7.75 cycles/triangleproduct (approx) 56 1.1 mrg 57 1.1 mrg Pentium II and III have MMX and get the following improvements. 58 1.1 mrg 59 1.1 mrg mpn_divrem_1 25.0 integer part, 17.5 fractional part 60 1.1 mrg 61 1.1 mrg mpn_l/rshift 1.75 62 1.1 mrg 63 1.1 mrg 64 1.1 mrg 65 1.1 mrg 66 1.1 mrg NOTES 67 1.1 mrg 68 1.1 mrg Write-allocate L1 data cache means prefetching of destinations is unnecessary. 69 1.1 mrg 70 1.1 mrg Mispredicted branches have a penalty of between 9 and 15 cycles, and even up 71 1.1 mrg to 26 cycles depending how far speculative execution has gone. The 9 cycle 72 1.1 mrg minimum penalty comes from the issue pipeline being 9 stages. 73 1.1 mrg 74 1.1 mrg A copy with rep movs seems to copy 16 bytes at a time, since speeds for 4, 75 1.1 mrg 5, 6 or 7 limb operations are all the same. The 0.75 cycles/limb would be 3 76 1.1 mrg cycles per 16 byte block. 77 1.1 mrg 78 1.1 mrg 79 1.1 mrg 80 1.1 mrg 81 1.1 mrg CODING 82 1.1 mrg 83 1.1 mrg Instructions in general code have been shown grouped if they can execute 84 1.1 mrg together, which means up to three instructions with no successive 85 1.1 mrg dependencies, and with only the first being a multiple micro-op. 86 1.1 mrg 87 1.1 mrg P6 has out-of-order execution, so the groupings are really only showing 88 1.1 mrg dependent paths where some shuffling might allow some latencies to be 89 1.1 mrg hidden. 90 1.1 mrg 91 1.1 mrg 92 1.1 mrg 93 1.1 mrg 94 1.1 mrg REFERENCES 95 1.1 mrg 96 1.1 mrg "Intel Architecture Optimization Reference Manual", 1999, revision 001 dated 97 1.1 mrg 02/99, order number 245127 (order number 730795-001 is in the document too). 98 1.1 mrg Available on-line: 99 1.1 mrg 100 1.1 mrg http://download.intel.com/design/PentiumII/manuals/245127.htm 101 1.1 mrg 102 1.1 mrg "Intel Architecture Optimization Manual", 1997, order number 242816. This 103 1.1 mrg is an older document mostly about P5 and not as good as the above. 104 1.1 mrg Available on-line: 105 1.1 mrg 106 1.1 mrg http://download.intel.com/design/PentiumII/manuals/242816.htm 107 1.1 mrg 108 1.1 mrg 109 1.1 mrg 110 1.1 mrg ---------------- 111 1.1 mrg Local variables: 112 1.1 mrg mode: text 113 1.1 mrg fill-column: 76 114 1.1 mrg End: 115
Indexes created Mon Aug 17 00:26:26 UTC 2026