constants.c 5.4 KB

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  1. /*
  2. * Copyright (c) 2008-2020 Stefan Krah. All rights reserved.
  3. *
  4. * Redistribution and use in source and binary forms, with or without
  5. * modification, are permitted provided that the following conditions
  6. * are met:
  7. *
  8. * 1. Redistributions of source code must retain the above copyright
  9. * notice, this list of conditions and the following disclaimer.
  10. *
  11. * 2. Redistributions in binary form must reproduce the above copyright
  12. * notice, this list of conditions and the following disclaimer in the
  13. * documentation and/or other materials provided with the distribution.
  14. *
  15. * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
  16. * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  17. * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  18. * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
  19. * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  20. * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  21. * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  22. * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  23. * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
  24. * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  25. * SUCH DAMAGE.
  26. */
  27. #include "mpdecimal.h"
  28. #include "basearith.h"
  29. #include "constants.h"
  30. #if defined(CONFIG_64)
  31. /* number-theory.c */
  32. const mpd_uint_t mpd_moduli[3] = {
  33. 18446744069414584321ULL, 18446744056529682433ULL, 18446742974197923841ULL
  34. };
  35. const mpd_uint_t mpd_roots[3] = {7ULL, 10ULL, 19ULL};
  36. /* crt.c */
  37. const mpd_uint_t INV_P1_MOD_P2 = 18446744055098026669ULL;
  38. const mpd_uint_t INV_P1P2_MOD_P3 = 287064143708160ULL;
  39. const mpd_uint_t LH_P1P2 = 18446744052234715137ULL; /* (P1*P2) % 2^64 */
  40. const mpd_uint_t UH_P1P2 = 18446744052234715141ULL; /* (P1*P2) / 2^64 */
  41. /* transpose.c */
  42. const mpd_size_t mpd_bits[64] = {
  43. 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384,
  44. 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,
  45. 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824,
  46. 2147483648ULL, 4294967296ULL, 8589934592ULL, 17179869184ULL, 34359738368ULL,
  47. 68719476736ULL, 137438953472ULL, 274877906944ULL, 549755813888ULL,
  48. 1099511627776ULL, 2199023255552ULL, 4398046511104, 8796093022208ULL,
  49. 17592186044416ULL, 35184372088832ULL, 70368744177664ULL, 140737488355328ULL,
  50. 281474976710656ULL, 562949953421312ULL, 1125899906842624ULL,
  51. 2251799813685248ULL, 4503599627370496ULL, 9007199254740992ULL,
  52. 18014398509481984ULL, 36028797018963968ULL, 72057594037927936ULL,
  53. 144115188075855872ULL, 288230376151711744ULL, 576460752303423488ULL,
  54. 1152921504606846976ULL, 2305843009213693952ULL, 4611686018427387904ULL,
  55. 9223372036854775808ULL
  56. };
  57. /* mpdecimal.c */
  58. const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = {
  59. 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,
  60. 10000000000ULL,100000000000ULL,1000000000000ULL,10000000000000ULL,
  61. 100000000000000ULL,1000000000000000ULL,10000000000000000ULL,
  62. 100000000000000000ULL,1000000000000000000ULL,10000000000000000000ULL
  63. };
  64. /* magic number for constant division by MPD_RADIX */
  65. const mpd_uint_t mprime_rdx = 15581492618384294730ULL;
  66. #elif defined(CONFIG_32)
  67. /* number-theory.c */
  68. const mpd_uint_t mpd_moduli[3] = {2113929217UL, 2013265921UL, 1811939329UL};
  69. const mpd_uint_t mpd_roots[3] = {5UL, 31UL, 13UL};
  70. /* PentiumPro modular multiplication: These constants have to be loaded as
  71. * 80 bit long doubles, which are not supported by certain compilers. */
  72. const uint32_t mpd_invmoduli[3][3] = {
  73. {4293885170U, 2181570688U, 16352U}, /* ((long double) 1 / 2113929217UL) */
  74. {1698898177U, 2290649223U, 16352U}, /* ((long double) 1 / 2013265921UL) */
  75. {2716021846U, 2545165803U, 16352U} /* ((long double) 1 / 1811939329UL) */
  76. };
  77. const float MPD_TWO63 = 9223372036854775808.0; /* 2^63 */
  78. /* crt.c */
  79. const mpd_uint_t INV_P1_MOD_P2 = 2013265901UL;
  80. const mpd_uint_t INV_P1P2_MOD_P3 = 54UL;
  81. const mpd_uint_t LH_P1P2 = 4127195137UL; /* (P1*P2) % 2^32 */
  82. const mpd_uint_t UH_P1P2 = 990904320UL; /* (P1*P2) / 2^32 */
  83. /* transpose.c */
  84. const mpd_size_t mpd_bits[32] = {
  85. 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384,
  86. 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,
  87. 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824,
  88. 2147483648UL
  89. };
  90. /* mpdecimal.c */
  91. const mpd_uint_t mpd_pow10[MPD_RDIGITS+1] = {
  92. 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000
  93. };
  94. #else
  95. #error "CONFIG_64 or CONFIG_32 must be defined."
  96. #endif
  97. const char * const mpd_round_string[MPD_ROUND_GUARD] = {
  98. "ROUND_UP", /* round away from 0 */
  99. "ROUND_DOWN", /* round toward 0 (truncate) */
  100. "ROUND_CEILING", /* round toward +infinity */
  101. "ROUND_FLOOR", /* round toward -infinity */
  102. "ROUND_HALF_UP", /* 0.5 is rounded up */
  103. "ROUND_HALF_DOWN", /* 0.5 is rounded down */
  104. "ROUND_HALF_EVEN", /* 0.5 is rounded to even */
  105. "ROUND_05UP", /* round zero or five away from 0 */
  106. "ROUND_TRUNC", /* truncate, but set infinity */
  107. };
  108. const char * const mpd_clamp_string[MPD_CLAMP_GUARD] = {
  109. "CLAMP_DEFAULT",
  110. "CLAMP_IEEE_754"
  111. };