/*============================================================================= This file is part of FLINT. FLINT is free software; you can redistribute it and/or modify it under the terms of 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. FLINT 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 General Public License for more details. You should have received a copy of the GNU General Public License along with FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright (C) 2010 Fredrik Johansson ******************************************************************************/ #include #include #include #include "flint.h" #include "ulong_extras.h" #include "fmpz.h" #if FLINT64 #define NUM_SMALL_FIB 94 #else #define NUM_SMALL_FIB 48 #endif static const mp_limb_t small_fib[NUM_SMALL_FIB] = { 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, UWORD(2971215073), #if FLINT64 UWORD(4807526976), UWORD(7778742049), UWORD(12586269025), UWORD(20365011074), UWORD(32951280099), UWORD(53316291173), UWORD(86267571272), UWORD(139583862445), UWORD(225851433717), UWORD(365435296162), UWORD(591286729879), UWORD(956722026041), 1548008755920, UWORD(2504730781961), UWORD(4052739537881), UWORD(6557470319842), 10610209857723, UWORD(17167680177565), UWORD(27777890035288), UWORD(44945570212853), 72723460248141, UWORD(117669030460994), UWORD(190392490709135), UWORD(308061521170129), 498454011879264, UWORD(806515533049393), UWORD(1304969544928657), UWORD(2111485077978050), UWORD(3416454622906707), UWORD(5527939700884757), UWORD(8944394323791464), UWORD(14472334024676221), UWORD(23416728348467685), UWORD(37889062373143906), UWORD(61305790721611591), UWORD(99194853094755497), UWORD(160500643816367088), UWORD(259695496911122585), UWORD(420196140727489673), UWORD(679891637638612258), UWORD(1100087778366101931), UWORD(1779979416004714189), UWORD(2880067194370816120), UWORD(4660046610375530309), UWORD(7540113804746346429), UWORD(12200160415121876738) #endif }; void fmpz_fib_ui(fmpz_t f, ulong n) { if (n < NUM_SMALL_FIB) fmpz_set_ui(f, small_fib[n]); else flint_mpz_fib_ui(_fmpz_promote(f), n); }