/* * prime - quickly determine if a small number is prime * * Copyright (C) 1999-2007,2014 Landon Curt Noll * * Calc is open software; you can redistribute it and/or modify it under * the terms of the version 2.1 of the GNU Lesser General Public License * as published by the Free Software Foundation. * * Calc 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. * * A copy of version 2.1 of the GNU Lesser General Public License is * distributed with calc under the filename COPYING-LGPL. You should have * received a copy with calc; if not, write to Free Software Foundation, Inc. * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. * * Under source code control: 1994/06/04 03:26:15 * File existed as early as: 1994 * * chongo /\oo/\ http://www.isthe.com/chongo/ * Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/ */ #if !defined(INCLUDE_PRIME_H) #define INCLUDE_PRIME_H #if defined(CALC_SRC) /* if we are building from the calc source tree */ # include "qmath.h" # include "have_const.h" #else # include # include #endif #define MAX_MAP_PRIME ((FULL)65521) /* (2^16-15) larest prime in prmap */ #define MAX_MAP_VAL ((FULL)65535) /* (2^16-1) larest bit in pr_map */ #define MAX_SM_PRIME ((FULL)0xfffffffb) /* (2^32-5) larest 32 bit prime */ #define MAX_SM_VAL ((FULL)0xffffffff) /* (2^32-1) larest 32 bit value */ #define MAP_POPCNT 6541 /* number of odd primes in pr_map */ #define NXT_MAP_PRIME ((FULL)65537) /* (2^16+1) smallest prime > 2^16 */ #define PIX_32B ((FULL)203280221) /* pix(2^32-1) - max pix() value */ /* * product of primes that fit into a long */ #if BASEB == 32 #define MAX_PFACT_VAL 52 /* max x, for which pfact(x) is a long */ #define NXT_PFACT_VAL 14 /* next prime for higher pfact values */ #else #define MAX_PFACT_VAL 28 /* max x, for which pfact(x) is a long */ #define NXT_PFACT_VAL 8 /* next prime for higher pfact values */ #endif /* * If n is odd and 1 <= n <= MAX_MAP_VAL, then: * * pr_map_bit(n) != 0 ==> n is prime * pr_map_bit(n) == 0 ==> n is NOT prime */ #define pr_map_bit(n) (pr_map[(HALF)(n)>>4] & (1 << (((HALF)(n)>>1)&0x7))) /* * Limits for piXb tables. Do not test about this value using the * given table, even though the table has a higher sentinal value. */ #define MAX_PI10B ((1024*256)-1) /* largest pi10b value to test */ #define MAX_PI18B ((FULL)(0xFFFFFFFF)) /* largest pi18b value to test */ /* * Prime related external arrays. */ EXTERN CONST unsigned short prime[]; EXTERN CONST unsigned char pr_map[]; EXTERN CONST unsigned short pi10b[]; EXTERN CONST unsigned short pi18b[]; EXTERN NUMBER _nxtprime_; /* 2^32+15 - smallest prime > 2^32 */ EXTERN CONST ZVALUE _nxt_prime_; /* 2^32+15 - smallest prime > 2^32 */ EXTERN CONST ZVALUE _jmpmod2_; /* JMPMOD*2 as a ZVALUE */ #endif /* !INCLUDE_PRIME_H */