/*
Copyright (C) 2010 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See .
*/
#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);
}