/* Copyright 2011-2015 David Cleaver * * This program 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. * * This program 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 this program. If not, see . */ #ifndef __MPZ_APRCL__ #define __MPZ_APRCL__ #ifndef HAVE_U64_T #define HAVE_U64_T typedef long long s64_t; typedef unsigned long long u64_t; #endif #include "jacobi_sum.h" /*******************************************************/ /*******************************************************/ /* These are the definitions for the APRT-CLE routines */ /*******************************************************/ /*******************************************************/ /* verbose = 0 means to only return the status */ /* it will not print out progress info */ /* verbose = 1 means to print out progress info */ /* verbose = 2 means to print out progress/failure/failover info */ #define APRTCLE_VERBOSE0 0 #define APRTCLE_VERBOSE1 1 #define APRTCLE_VERBOSE2 2 #define APRTCLE_ERROR -1 #define APRTCLE_COMPOSITE 0 #define APRTCLE_PRP 1 #define APRTCLE_PRIME 2 /* ********************************************************************************** * APR-CL (also known as APRT-CLE) is a prime proving algorithm developed by: * L. Adleman, C. Pomerance, R. Rumely, H. Cohen, and H. W. Lenstra * APRT-CLE = Adleman-Pomerance-Rumely Test Cohen-Lenstra Extended version * You can find all the details of this implementation in the Cohen & Lenstra paper: * H. Cohen and A. K. Lenstra, "Implementation of a new primality test", * Math. Comp., 48 (1987) 103--121 * * ---------------------------------------------------------------------------------- * * This C/GMP version is a conversion of Dario Alpern's Java based APRT-CLE code * His code was based on Yuji Kida's UBASIC code * * Based on APRT-CLE Written by Dario Alejandro Alpern (Buenos Aires - Argentina) * From: Last updated September 10th, 2011. See http://www.alpertron.com.ar/ECM.HTM * * On 2012/11/12 Dario Alpern has approved the conversion, from Java to C/GMP, of * his implementation of the APR-CL algorithm, and that it be licensed under the LGPL. * * ---------------------------------------------------------------------------------- * * With improvements based on Jason Moxham's APRCL v1.15 code, from 2003/01/01 * * On 2013/04/14 Toby Moxham has approved the APR-CL code and data tables, * originally written by his brother Jason Moxham on 2003/01/01, to be released * under the LGPL. * * ---------------------------------------------------------------------------------- * * v1.0 to v1.1 improvements: * * [The following fix was recommended by Dana Jacobsen and verified by Jon Grantham] * - Bug fix: Removed unnecessary vl==0 check in mpz_extrastronglucas_prp * [The following improvements/fixes were recommended by Laurent Desnogues in 2013/08] * - Speed improvement 1: Removed extraneous NormalizeJS calls in ARPCL * - Speed improvement 2: Removed/consolidated calls to mpz_mod in APRCL * (these improvements make the APRCL code about 1.5-2.2x faster) * - Bug fix: Final test in APRCL routine is now correct * * * *********************************************************************************/ int mpz_aprcl(mpz_t N); /* Just return the status of the input, no progress is printed out */ int mpz_aprtcle(mpz_t N, int verbose); #endif