head 1.1; branch 1.1.1; access; symbols netbsd-11-0-RC5:1.1.1.3 netbsd-11-0-RC4:1.1.1.3 netbsd-11-0-RC3:1.1.1.3 netbsd-11-0-RC2:1.1.1.3 netbsd-11-0-RC1:1.1.1.3 perseant-exfatfs-base-20250801:1.1.1.3 netbsd-11:1.1.1.3.0.18 netbsd-11-base:1.1.1.3 netbsd-10-1-RELEASE:1.1.1.3 perseant-exfatfs-base-20240630:1.1.1.3 perseant-exfatfs:1.1.1.3.0.16 perseant-exfatfs-base:1.1.1.3 netbsd-8-3-RELEASE:1.1.1.2 netbsd-9-4-RELEASE:1.1.1.3 netbsd-10-0-RELEASE:1.1.1.3 netbsd-10-0-RC6:1.1.1.3 netbsd-10-0-RC5:1.1.1.3 netbsd-10-0-RC4:1.1.1.3 netbsd-10-0-RC3:1.1.1.3 netbsd-10-0-RC2:1.1.1.3 netbsd-10-0-RC1:1.1.1.3 netbsd-10:1.1.1.3.0.14 netbsd-10-base:1.1.1.3 netbsd-9-3-RELEASE:1.1.1.3 gmp-6-2-1:1.1.1.3 cjep_sun2x-base1:1.1.1.3 cjep_sun2x:1.1.1.3.0.12 cjep_sun2x-base:1.1.1.3 cjep_staticlib_x-base1:1.1.1.3 netbsd-9-2-RELEASE:1.1.1.3 cjep_staticlib_x:1.1.1.3.0.10 cjep_staticlib_x-base:1.1.1.3 netbsd-9-1-RELEASE:1.1.1.3 gmp-6-2-0:1.1.1.3 phil-wifi-20200421:1.1.1.3 phil-wifi-20200411:1.1.1.3 is-mlppp:1.1.1.3.0.8 is-mlppp-base:1.1.1.3 phil-wifi-20200406:1.1.1.3 netbsd-8-2-RELEASE:1.1.1.2 netbsd-9-0-RELEASE:1.1.1.3 netbsd-9-0-RC2:1.1.1.3 netbsd-9-0-RC1:1.1.1.3 phil-wifi-20191119:1.1.1.3 netbsd-9:1.1.1.3.0.6 netbsd-9-base:1.1.1.3 phil-wifi-20190609:1.1.1.3 netbsd-8-1-RELEASE:1.1.1.2 netbsd-8-1-RC1:1.1.1.2 pgoyette-compat-merge-20190127:1.1.1.3 pgoyette-compat-20190127:1.1.1.3 pgoyette-compat-20190118:1.1.1.3 pgoyette-compat-1226:1.1.1.3 pgoyette-compat-1126:1.1.1.3 pgoyette-compat-1020:1.1.1.3 pgoyette-compat-0930:1.1.1.3 pgoyette-compat-0906:1.1.1.3 netbsd-7-2-RELEASE:1.1.1.2 pgoyette-compat-0728:1.1.1.3 netbsd-8-0-RELEASE:1.1.1.2 phil-wifi:1.1.1.3.0.4 phil-wifi-base:1.1.1.3 pgoyette-compat-0625:1.1.1.3 netbsd-8-0-RC2:1.1.1.2 pgoyette-compat-0521:1.1.1.3 pgoyette-compat-0502:1.1.1.3 pgoyette-compat-0422:1.1.1.3 netbsd-8-0-RC1:1.1.1.2 pgoyette-compat-0415:1.1.1.3 pgoyette-compat-0407:1.1.1.3 pgoyette-compat-0330:1.1.1.3 pgoyette-compat-0322:1.1.1.3 pgoyette-compat-0315:1.1.1.3 netbsd-7-1-2-RELEASE:1.1.1.2 pgoyette-compat:1.1.1.3.0.2 pgoyette-compat-base:1.1.1.3 netbsd-7-1-1-RELEASE:1.1.1.2 matt-nb8-mediatek:1.1.1.2.0.22 matt-nb8-mediatek-base:1.1.1.2 gmp-6-1-2:1.1.1.3 perseant-stdc-iso10646:1.1.1.2.0.20 perseant-stdc-iso10646-base:1.1.1.2 netbsd-8:1.1.1.2.0.18 netbsd-8-base:1.1.1.2 prg-localcount2-base3:1.1.1.2 prg-localcount2-base2:1.1.1.2 prg-localcount2-base1:1.1.1.2 prg-localcount2:1.1.1.2.0.16 prg-localcount2-base:1.1.1.2 pgoyette-localcount-20170426:1.1.1.2 bouyer-socketcan-base1:1.1.1.2 pgoyette-localcount-20170320:1.1.1.2 netbsd-7-1:1.1.1.2.0.14 netbsd-7-1-RELEASE:1.1.1.2 netbsd-7-1-RC2:1.1.1.2 netbsd-7-nhusb-base-20170116:1.1.1.2 bouyer-socketcan:1.1.1.2.0.12 bouyer-socketcan-base:1.1.1.2 pgoyette-localcount-20170107:1.1.1.2 netbsd-7-1-RC1:1.1.1.2 pgoyette-localcount-20161104:1.1.1.2 netbsd-7-0-2-RELEASE:1.1.1.2 localcount-20160914:1.1.1.2 netbsd-7-nhusb:1.1.1.2.0.10 netbsd-7-nhusb-base:1.1.1.2 pgoyette-localcount-20160806:1.1.1.2 pgoyette-localcount-20160726:1.1.1.2 pgoyette-localcount:1.1.1.2.0.8 pgoyette-localcount-base:1.1.1.2 netbsd-7-0-1-RELEASE:1.1.1.2 netbsd-7-0:1.1.1.2.0.6 netbsd-7-0-RELEASE:1.1.1.2 netbsd-7-0-RC3:1.1.1.2 netbsd-7-0-RC2:1.1.1.2 netbsd-7-0-RC1:1.1.1.2 netbsd-6-0-6-RELEASE:1.1.1.1 netbsd-6-1-5-RELEASE:1.1.1.1 netbsd-7:1.1.1.2.0.4 netbsd-7-base:1.1.1.2 yamt-pagecache-base9:1.1.1.2 yamt-pagecache-tag8:1.1.1.1 netbsd-6-1-4-RELEASE:1.1.1.1 netbsd-6-0-5-RELEASE:1.1.1.1 tls-earlyentropy:1.1.1.2.0.2 tls-earlyentropy-base:1.1.1.2 riastradh-xf86-video-intel-2-7-1-pre-2-21-15:1.1.1.2 riastradh-drm2-base3:1.1.1.2 netbsd-6-1-3-RELEASE:1.1.1.1 netbsd-6-0-4-RELEASE:1.1.1.1 gmp-5-1-3:1.1.1.2 netbsd-6-1-2-RELEASE:1.1.1.1 netbsd-6-0-3-RELEASE:1.1.1.1 netbsd-6-1-1-RELEASE:1.1.1.1 riastradh-drm2-base2:1.1.1.1 riastradh-drm2-base1:1.1.1.1 riastradh-drm2:1.1.1.1.0.12 riastradh-drm2-base:1.1.1.1 netbsd-6-1:1.1.1.1.0.16 netbsd-6-0-2-RELEASE:1.1.1.1 netbsd-6-1-RELEASE:1.1.1.1 netbsd-6-1-RC4:1.1.1.1 netbsd-6-1-RC3:1.1.1.1 agc-symver:1.1.1.1.0.14 agc-symver-base:1.1.1.1 netbsd-6-1-RC2:1.1.1.1 netbsd-6-1-RC1:1.1.1.1 yamt-pagecache-base8:1.1.1.1 netbsd-6-0-1-RELEASE:1.1.1.1 yamt-pagecache-base7:1.1.1.1 matt-nb6-plus-nbase:1.1.1.1 yamt-pagecache-base6:1.1.1.1 netbsd-6-0:1.1.1.1.0.10 netbsd-6-0-RELEASE:1.1.1.1 netbsd-6-0-RC2:1.1.1.1 tls-maxphys:1.1.1.1.0.8 tls-maxphys-base:1.1.1.2 matt-nb6-plus:1.1.1.1.0.6 matt-nb6-plus-base:1.1.1.1 netbsd-6-0-RC1:1.1.1.1 yamt-pagecache-base5:1.1.1.1 yamt-pagecache-base4:1.1.1.1 netbsd-6:1.1.1.1.0.4 netbsd-6-base:1.1.1.1 yamt-pagecache-base3:1.1.1.1 yamt-pagecache-base2:1.1.1.1 yamt-pagecache:1.1.1.1.0.2 yamt-pagecache-base:1.1.1.1 gmp-5-0-2:1.1.1.1 gmp:1.1.1; locks; strict; comment @# @; 1.1 date 2011.06.20.05.54.42; author mrg; state Exp; branches 1.1.1.1; next ; 1.1.1.1 date 2011.06.20.05.54.42; author mrg; state Exp; branches 1.1.1.1.2.1 1.1.1.1.8.1; next 1.1.1.2; 1.1.1.2 date 2013.11.29.07.49.49; author mrg; state Exp; branches; next 1.1.1.3; commitid L2Av4PuGmdoL39fx; 1.1.1.3 date 2017.08.22.09.40.49; author mrg; state Exp; branches; next ; commitid W5kmAIk8hwVpSb4A; 1.1.1.1.2.1 date 2014.05.22.14.09.06; author yamt; state Exp; branches; next ; commitid nx2BSsHy0NPeAxBx; 1.1.1.1.8.1 date 2014.08.19.23.59.55; author tls; state Exp; branches; next ; commitid jTnpym9Qu0o4R1Nx; desc @@ 1.1 log @Initial revision @ text @Copyright 2000, 2001 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. The GNU MP Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. INTEL P6 MPN SUBROUTINES This directory contains code optimized for Intel P6 class CPUs, meaning PentiumPro, Pentium II and Pentium III. The mmx and p3mmx subdirectories have routines using MMX instructions. STATUS Times for the loops, with all code and data in L1 cache, are as follows. Some of these might be able to be improved. cycles/limb mpn_add_n/sub_n 3.7 mpn_copyi 0.75 mpn_copyd 1.75 (or 0.75 if no overlap) mpn_divrem_1 39.0 mpn_mod_1 21.5 mpn_divexact_by3 8.5 mpn_mul_1 5.5 mpn_addmul/submul_1 6.35 mpn_l/rshift 2.5 mpn_mul_basecase 8.2 cycles/crossproduct (approx) mpn_sqr_basecase 4.0 cycles/crossproduct (approx) or 7.75 cycles/triangleproduct (approx) Pentium II and III have MMX and get the following improvements. mpn_divrem_1 25.0 integer part, 17.5 fractional part mpn_l/rshift 1.75 NOTES Write-allocate L1 data cache means prefetching of destinations is unnecessary. Mispredicted branches have a penalty of between 9 and 15 cycles, and even up to 26 cycles depending how far speculative execution has gone. The 9 cycle minimum penalty comes from the issue pipeline being 9 stages. A copy with rep movs seems to copy 16 bytes at a time, since speeds for 4, 5, 6 or 7 limb operations are all the same. The 0.75 cycles/limb would be 3 cycles per 16 byte block. CODING Instructions in general code have been shown grouped if they can execute together, which means up to three instructions with no successive dependencies, and with only the first being a multiple micro-op. P6 has out-of-order execution, so the groupings are really only showing dependent paths where some shuffling might allow some latencies to be hidden. REFERENCES "Intel Architecture Optimization Reference Manual", 1999, revision 001 dated 02/99, order number 245127 (order number 730795-001 is in the document too). Available on-line: http://download.intel.com/design/PentiumII/manuals/245127.htm "Intel Architecture Optimization Manual", 1997, order number 242816. This is an older document mostly about P5 and not as good as the above. Available on-line: http://download.intel.com/design/PentiumII/manuals/242816.htm ---------------- Local variables: mode: text fill-column: 76 End: @ 1.1.1.1 log @initial import of GMP 5.0.2. GNU MP is a library for arbitrary precision arithmetic, operating on signed integers, rational numbers, and floating point numbers. It has a rich set of functions, and the functions have a regular interface. GMP is necessary for GCC >= 4.2. @ text @@ 1.1.1.1.8.1 log @Rebase to HEAD as of a few days ago. @ text @d55 1 a55 1 or 7.75 cycles/triangleproduct (approx) @ 1.1.1.1.2.1 log @sync with head. for a reference, the tree before this commit was tagged as yamt-pagecache-tag8. this commit was splitted into small chunks to avoid a limitation of cvs. ("Protocol error: too many arguments") @ text @d55 1 a55 1 or 7.75 cycles/triangleproduct (approx) @ 1.1.1.2 log @initial import GMP 5.1.3 sources. changes include: fixes for: - mpn_sbpi1_div_qr_sec and mpn_sbpi1_div_r_sec - mpz_powm_ui - AMD family 11h - mpz_powm_sec and mpn_powm_sec - ASSERT() fixes - gcd, gcdext, and invert function fixes - some PPC division operations @ text @d55 1 a55 1 or 7.75 cycles/triangleproduct (approx) @ 1.1.1.3 log @initial import of GMP 6.1.2. main changes from 5.1.3 below. notes: - support for thumb-less ARM chips was in our port of 5.1.3, but a similar method has been provided upstream now - someone should look at the AVX failure reports, and fix them Changes between GMP version 6.1.0 and 6.1.1 FEATURES * Work around faulty cpuid on some recent Intel chips (this allows GMP to run on Skylake Pentiums). * Support thumb-less ARM chips. Changes between GMP version 6.0.* and 6.1.0 BUGS FIXED * The public function mpn_com is now correctly declared in gmp.h. * Healed possible failures of mpn_sec_sqr for non-cryptographic sizes for some obsolete CPUs. * Various problems related to precision for mpf have been fixed. * Fixed ABI incompatible stack alignment in calls from assembly code. * Fixed PIC bug in popcount affecting Intel processors using the 32-bit ABI. SPEEDUPS * Speedup for Intel Broadwell and Skylake through assembly code making use of new ADX instructions. * Square root is now faster when the remainder is not needed. Also the speed to compute the k-th root improved, for small sizes. FEATURES * New C++ functions gcd and lcm for mpz_class. * New public mpn functions mpn_divexact_1, mpn_zero_p, and mpn_cnd_swap. * New public mpq_cmp_z function, to efficiently compare rationals with integers. * Support for more 32-bit arm processors. * Support for AVX-less modern x86 CPUs. (Such support might be missing either because the CPU vendor chose to disable AVX, or because the running kernel lacks AVX context switch support.) * Support for NetBSD under Xen; we switch off AVX unconditionally under NetBSD since a bug in NetBSD makes AVX fail under Xen. MISC * Tuned values for FFT multiplications are provided for larger number on many platforms. Changes between GMP version 5.1.* and 6.0.0 BUGS FIXED * The function mpz_invert now considers any number invertible in Z/1Z. * The mpn multiply code now handles operands of more than 2^31 limbs correctly. (Note however that the mpz code is limited to 2^32 bits on 32-bit hosts and 2^37 bits on 64-bit hosts.) SPEEDUPS * Plain division of large operands is faster and more monotonous in operand size. * Major speedup for ARM, in particular ARM Cortex-A15, thanks to improved assembly. * Speedup for Intel Sandy Bridge, Ivy Bridge, Haswell, thanks to rewritten and vastly expanded assembly support. Speedup also for the older Core 2 and Nehalem. * Faster mixed arithmetic between mpq_class and double. FEATURES * Support for new Intel and AMD CPUs. * New public functions mpn_sec_mul and mpn_sec_sqr, implementing side-channel silent multiplication and squaring. * New public functions mpn_sec_div_qr and mpn_sec_div_r, implementing side-channel silent division. * New public functions mpn_cnd_add_n and mpn_cnd_sub_n. Side-channel silent conditional addition and subtraction. * New public function mpn_sec_powm, implementing side-channel silent modexp. * New public function mpn_sec_invert, implementing side-channel silent modular inversion. * Better support for applications which use the mpz_t type, but nevertheless need to call some of the lower-level mpn functions. See the documentation for mpz_limbs_read and related functions. @ text @d6 3 a8 13 it under the terms of either: * the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. or * the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. or both in parallel, as here. d12 2 a13 2 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. d15 2 a16 3 You should have received copies of the GNU General Public License and the GNU Lesser General Public License along with the GNU MP Library. If not, see https://www.gnu.org/licenses/. @