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; |
-} |