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Unified Diff: gcc/gmp/mpn/generic/fib2_ui.c

Issue 3050029: [gcc] GCC 4.5.0=>4.5.1 (Closed) Base URL: ssh://git@gitrw.chromium.org:9222/nacl-toolchain.git
Patch Set: Created 10 years, 5 months ago
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Index: gcc/gmp/mpn/generic/fib2_ui.c
diff --git a/gcc/gmp/mpn/generic/fib2_ui.c b/gcc/gmp/mpn/generic/fib2_ui.c
deleted file mode 100644
index a39d53826263be94fe50bc5b69ca67acabf2f5dc..0000000000000000000000000000000000000000
--- a/gcc/gmp/mpn/generic/fib2_ui.c
+++ /dev/null
@@ -1,167 +0,0 @@
-/* mpn_fib2_ui -- calculate Fibonacci numbers.
-
- THE FUNCTIONS IN THIS FILE ARE FOR INTERNAL USE ONLY. THEY'RE ALMOST
- CERTAIN TO BE SUBJECT TO INCOMPATIBLE CHANGES OR DISAPPEAR COMPLETELY IN
- FUTURE GNU MP RELEASES.
-
-Copyright 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 this to "#define TRACE(x) x" for diagnostics */
-#define TRACE(x)
-
-
-/* Store F[n] at fp and F[n-1] at f1p. fp and f1p should have room for
- MPN_FIB2_SIZE(n) limbs.
-
- The return value is the actual number of limbs stored, this will be at
- least 1. fp[size-1] will be non-zero, except when n==0, in which case
- fp[0] is 0 and f1p[0] is 1. f1p[size-1] can be zero, since F[n-1]<F[n]
- (for n>0).
-
- Notes:
-
- In F[2k+1] with k even, +2 is applied to 4*F[k]^2 just by ORing into the
- low limb.
-
- In F[2k+1] with k odd, -2 is applied to the low limb of 4*F[k]^2 -
- F[k-1]^2. This F[2k+1] is an F[4m+3] and such numbers are congruent to
- 1, 2 or 5 mod 8, which means no underflow reaching it with a -2 (since
- that would leave 6 or 7 mod 8).
-
- This property of F[4m+3] can be verified by induction on F[4m+3] =
- 7*F[4m-1] - F[4m-5], that formula being a standard lucas sequence
- identity U[i+j] = U[i]*V[j] - U[i-j]*Q^j.
-
- Enhancements:
-
- If there was an mpn_addlshift, it'd be possible to eliminate the yp
- temporary, using xp=F[k]^2, fp=F[k-1]^2, f1p=xp+fp, fp+=4*fp, fp-=f1p,
- fp+=2*(-1)^n, etc. */
-
-mp_size_t
-mpn_fib2_ui (mp_ptr fp, mp_ptr f1p, unsigned long int n)
-{
- mp_ptr xp, yp;
- mp_size_t size;
- unsigned long nfirst, mask;
- TMP_DECL;
-
- TRACE (printf ("mpn_fib2_ui n=%lu\n", n));
-
- ASSERT (! MPN_OVERLAP_P (fp, MPN_FIB2_SIZE(n), f1p, MPN_FIB2_SIZE(n)));
-
- /* Take a starting pair from the table. */
- mask = 1;
- for (nfirst = n; nfirst > FIB_TABLE_LIMIT; nfirst /= 2)
- mask <<= 1;
- TRACE (printf ("nfirst=%lu mask=0x%lX\n", nfirst, mask));
-
- f1p[0] = FIB_TABLE ((int) nfirst - 1);
- fp[0] = FIB_TABLE (nfirst);
- size = 1;
-
- /* Skip to the end if the table lookup gives the final answer. */
- if (mask != 1)
- {
- mp_size_t alloc;
-
- TMP_MARK;
- alloc = MPN_FIB2_SIZE (n);
- TMP_ALLOC_LIMBS_2 (xp,alloc, yp,alloc);
-
- do
- {
- mp_limb_t c;
-
- /* Here fp==F[k] and f1p==F[k-1], with k being the bits of n from
- n&mask upwards.
-
- The next bit of n is n&(mask>>1) and we'll double to the pair
- fp==F[2k],f1p==F[2k-1] or fp==F[2k+1],f1p==F[2k], according as
- that bit is 0 or 1 respectively. */
-
- TRACE (printf ("k=%lu mask=0x%lX size=%ld alloc=%ld\n",
- n >> refmpn_count_trailing_zeros(mask),
- mask, size, alloc);
- mpn_trace ("fp ", fp, size);
- mpn_trace ("f1p", f1p, size));
-
- /* fp normalized, f1p at most one high zero */
- ASSERT (fp[size-1] != 0);
- ASSERT (f1p[size-1] != 0 || f1p[size-2] != 0);
-
- /* f1p[size-1] might be zero, but this occurs rarely, so it's not
- worth bothering checking for it */
- ASSERT (alloc >= 2*size);
- mpn_sqr_n (xp, fp, size);
- mpn_sqr_n (yp, f1p, size);
- size *= 2;
-
- /* Shrink if possible. Since fp was normalized there'll be at
- most one high zero on xp (and if there is then there's one on
- yp too). */
- ASSERT (xp[size-1] != 0 || yp[size-1] == 0);
- size -= (xp[size-1] == 0);
- ASSERT (xp[size-1] != 0); /* only one xp high zero */
-
- /* Calculate F[2k+1] = 4*F[k]^2 - F[k-1]^2 + 2*(-1)^k.
- n&mask is the low bit of our implied k. */
- c = mpn_lshift (fp, xp, size, 2);
- fp[0] |= (n & mask ? 0 : 2); /* possible +2 */
- c -= mpn_sub_n (fp, fp, yp, size);
- ASSERT (n & (mask << 1) ? fp[0] != 0 && fp[0] != 1 : 1);
- fp[0] -= (n & mask ? 2 : 0); /* possible -2 */
- ASSERT (alloc >= size+1);
- xp[size] = 0;
- yp[size] = 0;
- fp[size] = c;
- size += (c != 0);
-
- /* Calculate F[2k-1] = F[k]^2 + F[k-1]^2.
- F[2k-1]<F[2k+1] so no carry out of "size" limbs. */
- ASSERT_NOCARRY (mpn_add_n (f1p, xp, yp, size));
-
- /* now n&mask is the new bit of n being considered */
- mask >>= 1;
-
- /* Calculate F[2k] = F[2k+1] - F[2k-1], replacing the unwanted one of
- F[2k+1] and F[2k-1]. */
- ASSERT_NOCARRY (mpn_sub_n ((n & mask ? f1p : fp), fp, f1p, size));
-
- /* Can have a high zero after replacing F[2k+1] with F[2k].
- f1p will have a high zero if fp does. */
- ASSERT (fp[size-1] != 0 || f1p[size-1] == 0);
- size -= (fp[size-1] == 0);
- }
- while (mask != 1);
-
- TMP_FREE;
- }
-
- TRACE (printf ("done size=%ld\n", size);
- mpn_trace ("fp ", fp, size);
- mpn_trace ("f1p", f1p, size));
-
- return size;
-}
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