| Index: gcc/gmp/mpz/fib_ui.c
|
| diff --git a/gcc/gmp/mpz/fib_ui.c b/gcc/gmp/mpz/fib_ui.c
|
| deleted file mode 100644
|
| index 3e9aa1b32dd9dd176ba5cbc999705693e239e32f..0000000000000000000000000000000000000000
|
| --- a/gcc/gmp/mpz/fib_ui.c
|
| +++ /dev/null
|
| @@ -1,142 +0,0 @@
|
| -/* mpz_fib_ui -- calculate Fibonacci numbers.
|
| -
|
| -Copyright 2000, 2001, 2002, 2005 Free Software Foundation, Inc.
|
| -
|
| -This file is part of the GNU MP Library.
|
| -
|
| -The GNU MP Library is free software; you can redistribute it and/or modify
|
| -it under the terms of the GNU Lesser General Public License as published by
|
| -the Free Software Foundation; either version 3 of the License, or (at your
|
| -option) any later version.
|
| -
|
| -The GNU MP Library 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.
|
| -
|
| -You should have received a copy of the GNU Lesser General Public License
|
| -along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
|
| -
|
| -#include <stdio.h>
|
| -#include "gmp.h"
|
| -#include "gmp-impl.h"
|
| -#include "longlong.h"
|
| -
|
| -
|
| -/* change to "#define TRACE(x) x" to get some traces */
|
| -#define TRACE(x)
|
| -
|
| -
|
| -/* In the F[2k+1] below for k odd, the -2 won't give a borrow from the low
|
| - limb because the result F[2k+1] is an F[4m+3] and such numbers are always
|
| - == 1, 2 or 5 mod 8, whereas an underflow would leave 6 or 7. (This is
|
| - the same as in mpn_fib2_ui.)
|
| -
|
| - In the F[2k+1] for k even, the +2 won't give a carry out of the low limb
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| - in normal circumstances. This is an F[4m+1] and we claim that F[3*2^b+1]
|
| - == 1 mod 2^b is the first F[4m+1] congruent to 0 or 1 mod 2^b, and hence
|
| - if n < 2^GMP_NUMB_BITS then F[n] cannot have a low limb of 0 or 1. No
|
| - proof for this claim, but it's been verified up to b==32 and has such a
|
| - nice pattern it must be true :-). Of interest is that F[3*2^b] == 0 mod
|
| - 2^(b+1) seems to hold too.
|
| -
|
| - When n >= 2^GMP_NUMB_BITS, which can arise in a nails build, then the low
|
| - limb of F[4m+1] can certainly be 1, and an mpn_add_1 must be used. */
|
| -
|
| -void
|
| -mpz_fib_ui (mpz_ptr fn, unsigned long n)
|
| -{
|
| - mp_ptr fp, xp, yp;
|
| - mp_size_t size, xalloc;
|
| - unsigned long n2;
|
| - mp_limb_t c, c2;
|
| - TMP_DECL;
|
| -
|
| - if (n <= FIB_TABLE_LIMIT)
|
| - {
|
| - PTR(fn)[0] = FIB_TABLE (n);
|
| - SIZ(fn) = (n != 0); /* F[0]==0, others are !=0 */
|
| - return;
|
| - }
|
| -
|
| - n2 = n/2;
|
| - xalloc = MPN_FIB2_SIZE (n2) + 1;
|
| - MPZ_REALLOC (fn, 2*xalloc+1);
|
| - fp = PTR (fn);
|
| -
|
| - TMP_MARK;
|
| - TMP_ALLOC_LIMBS_2 (xp,xalloc, yp,xalloc);
|
| - size = mpn_fib2_ui (xp, yp, n2);
|
| -
|
| - TRACE (printf ("mpz_fib_ui last step n=%lu size=%ld bit=%lu\n",
|
| - n >> 1, size, n&1);
|
| - mpn_trace ("xp", xp, size);
|
| - mpn_trace ("yp", yp, size));
|
| -
|
| - if (n & 1)
|
| - {
|
| - /* F[2k+1] = (2F[k]+F[k-1])*(2F[k]-F[k-1]) + 2*(-1)^k */
|
| - mp_size_t xsize, ysize;
|
| -
|
| -#if HAVE_NATIVE_mpn_addsub_n
|
| - xp[size] = mpn_lshift (xp, xp, size, 1);
|
| - yp[size] = 0;
|
| - ASSERT_NOCARRY (mpn_addsub_n (xp, yp, xp, yp, size+1));
|
| - xsize = size + (xp[size] != 0);
|
| - ysize = size + (yp[size] != 0);
|
| -#else
|
| - c2 = mpn_lshift (fp, xp, size, 1);
|
| - c = c2 + mpn_add_n (xp, fp, yp, size);
|
| - xp[size] = c;
|
| - xsize = size + (c != 0);
|
| - c2 -= mpn_sub_n (yp, fp, yp, size);
|
| - yp[size] = c2;
|
| - ASSERT (c2 <= 1);
|
| - ysize = size + c2;
|
| -#endif
|
| -
|
| - size = xsize + ysize;
|
| - c = mpn_mul (fp, xp, xsize, yp, ysize);
|
| -
|
| -#if GMP_NUMB_BITS >= BITS_PER_ULONG
|
| - /* no overflow, see comments above */
|
| - ASSERT (n & 2 ? fp[0] >= 2 : fp[0] <= GMP_NUMB_MAX-2);
|
| - fp[0] += (n & 2 ? -CNST_LIMB(2) : CNST_LIMB(2));
|
| -#else
|
| - if (n & 2)
|
| - {
|
| - ASSERT (fp[0] >= 2);
|
| - fp[0] -= 2;
|
| - }
|
| - else
|
| - {
|
| - ASSERT (c != GMP_NUMB_MAX); /* because it's the high of a mul */
|
| - c += mpn_add_1 (fp, fp, size-1, CNST_LIMB(2));
|
| - fp[size-1] = c;
|
| - }
|
| -#endif
|
| - }
|
| - else
|
| - {
|
| - /* F[2k] = F[k]*(F[k]+2F[k-1]) */
|
| -
|
| - mp_size_t xsize, ysize;
|
| - c = mpn_lshift (yp, yp, size, 1);
|
| - c += mpn_add_n (yp, yp, xp, size);
|
| - yp[size] = c;
|
| - xsize = size;
|
| - ysize = size + (c != 0);
|
| - size += ysize;
|
| - c = mpn_mul (fp, yp, ysize, xp, xsize);
|
| - }
|
| -
|
| - /* one or two high zeros */
|
| - size -= (c == 0);
|
| - size -= (fp[size-1] == 0);
|
| - SIZ(fn) = size;
|
| -
|
| - TRACE (printf ("done special, size=%ld\n", size);
|
| - mpn_trace ("fp ", fp, size));
|
| -
|
| - TMP_FREE;
|
| -}
|
|
|