cpython/Modules/_decimal/libmpdec/constants.c

/*
 * Copyright (c) 2008-2020 Stefan Krah. All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 */


#include "mpdecimal.h"
#include "basearith.h"
#include "constants.h"


#if defined(CONFIG_64)

  /* number-theory.c */
  const mpd_uint_t mpd_moduli[3] = {
    18446744069414584321ULL, 18446744056529682433ULL, 18446742974197923841ULL
  };
  const mpd_uint_t mpd_roots[3]  = {7ULL, 10ULL, 19ULL};

  /* crt.c */
  const mpd_uint_t INV_P1_MOD_P2   = 18446744055098026669ULL;
  const mpd_uint_t INV_P1P2_MOD_P3 = 287064143708160ULL;
  const mpd_uint_t LH_P1P2 = 18446744052234715137ULL;     /* (P1*P2) % 2^64 */
  const mpd_uint_t UH_P1P2 = 18446744052234715141ULL;     /* (P1*P2) / 2^64 */

  /* transpose.c */
  const mpd_size_t mpd_bits[64] = {
    1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024,  2048, 4096, 8192, 16384,
    32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,
    16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824,
    2147483648ULL, 4294967296ULL, 8589934592ULL, 17179869184ULL, 34359738368ULL,
    68719476736ULL, 137438953472ULL, 274877906944ULL, 549755813888ULL,
    1099511627776ULL, 2199023255552ULL, 4398046511104, 8796093022208ULL,
    17592186044416ULL, 35184372088832ULL, 70368744177664ULL, 140737488355328ULL,
    281474976710656ULL, 562949953421312ULL, 1125899906842624ULL,
    2251799813685248ULL, 4503599627370496ULL, 9007199254740992ULL,
    18014398509481984ULL, 36028797018963968ULL, 72057594037927936ULL,
    144115188075855872ULL, 288230376151711744ULL, 576460752303423488ULL,
    1152921504606846976ULL, 2305843009213693952ULL, 4611686018427387904ULL,
    9223372036854775808ULL
  };

  /* mpdecimal.c */
  const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = {
    1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,
    10000000000ULL,100000000000ULL,1000000000000ULL,10000000000000ULL,
    100000000000000ULL,1000000000000000ULL,10000000000000000ULL,
    100000000000000000ULL,1000000000000000000ULL,10000000000000000000ULL
  };

  /* magic number for constant division by MPD_RADIX */
  const mpd_uint_t mprime_rdx = 15581492618384294730ULL;

#elif defined(CONFIG_32)

  /* number-theory.c */
  const mpd_uint_t mpd_moduli[3]  = {2113929217UL, 2013265921UL, 1811939329UL};
  const mpd_uint_t mpd_roots[3]   = {5UL, 31UL, 13UL};

  /* PentiumPro modular multiplication: These constants have to be loaded as
   * 80 bit long doubles, which are not supported by certain compilers. */
  const uint32_t mpd_invmoduli[3][3] = {
    {4293885170U, 2181570688U, 16352U},  /* ((long double) 1 / 2113929217UL) */
    {1698898177U, 2290649223U, 16352U},  /* ((long double) 1 / 2013265921UL) */
    {2716021846U, 2545165803U, 16352U}   /* ((long double) 1 / 1811939329UL) */
  };

  const float MPD_TWO63 = 9223372036854775808.0; /* 2^63 */

  /* crt.c */
  const mpd_uint_t INV_P1_MOD_P2   = 2013265901UL;
  const mpd_uint_t INV_P1P2_MOD_P3 = 54UL;
  const mpd_uint_t LH_P1P2 = 4127195137UL;  /* (P1*P2) % 2^32 */
  const mpd_uint_t UH_P1P2 = 990904320UL;   /* (P1*P2) / 2^32 */

  /* transpose.c */
  const mpd_size_t mpd_bits[32] = {
    1, 2, 4, 8, 16, 32, 64, 128, 256, 512,  1024,  2048, 4096, 8192, 16384,
    32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,
    16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824,
    2147483648UL
  };

  /* mpdecimal.c */
  const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = {
    1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000
  };

#else
  #error "CONFIG_64 or CONFIG_32 must be defined."
#endif

const char * const mpd_round_string[MPD_ROUND_GUARD] = {
    "ROUND_UP",          /* round away from 0               */
    "ROUND_DOWN",        /* round toward 0 (truncate)       */
    "ROUND_CEILING",     /* round toward +infinity          */
    "ROUND_FLOOR",       /* round toward -infinity          */
    "ROUND_HALF_UP",     /* 0.5 is rounded up               */
    "ROUND_HALF_DOWN",   /* 0.5 is rounded down             */
    "ROUND_HALF_EVEN",   /* 0.5 is rounded to even          */
    "ROUND_05UP",        /* round zero or five away from 0  */
    "ROUND_TRUNC",       /* truncate, but set infinity      */
};

const char * const mpd_clamp_string[MPD_CLAMP_GUARD] = {
    "CLAMP_DEFAULT",
    "CLAMP_IEEE_754"
};