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Unified Diff: gcc/mpfr/mpn_exp.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/mpfr/mpn_exp.c
diff --git a/gcc/mpfr/mpn_exp.c b/gcc/mpfr/mpn_exp.c
deleted file mode 100644
index 402b5e6bd372d83aef1b58e5273fac74ba5e1aec..0000000000000000000000000000000000000000
--- a/gcc/mpfr/mpn_exp.c
+++ /dev/null
@@ -1,175 +0,0 @@
-/* mpfr_mpn_exp -- auxiliary function for mpfr_get_str and mpfr_set_str
-
-Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
-Contributed by the Arenaire and Cacao projects, INRIA.
-Contributed by Alain Delplanque and Paul Zimmermann.
-
-This file is part of the GNU MPFR Library.
-
-The GNU MPFR 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 2.1 of the License, or (at your
-option) any later version.
-
-The GNU MPFR 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 MPFR Library; see the file COPYING.LIB. If not, write to
-the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
-MA 02110-1301, USA. */
-
-
-#define MPFR_NEED_LONGLONG_H
-#include "mpfr-impl.h"
-
-/* this function computes an approximation of b^e in {a, n}, with exponent
- stored in exp_r. The computed value is rounded towards zero (truncated).
- It returns an integer f such that the final error is bounded by 2^f ulps,
- that is:
- a*2^exp_r <= b^e <= 2^exp_r (a + 2^f),
- where a represents {a, n}, i.e. the integer
- a[0] + a[1]*B + ... + a[n-1]*B^(n-1) where B=2^BITS_PER_MP_LIMB
-
- Return -1 is the result is exact.
- Return -2 if an overflow occurred in the computation of exp_r.
-*/
-
-long
-mpfr_mpn_exp (mp_limb_t *a, mp_exp_t *exp_r, int b, mp_exp_t e, size_t n)
-{
- mp_limb_t *c, B;
- mp_exp_t f, h;
- int i;
- unsigned long t; /* number of bits in e */
- unsigned long bits;
- size_t n1;
- unsigned int error; /* (number - 1) of loop a^2b inexact */
- /* error == t means no error */
- int err_s_a2 = 0;
- int err_s_ab = 0; /* number of error when shift A^2, AB */
- MPFR_TMP_DECL(marker);
-
- MPFR_ASSERTN(e > 0);
- MPFR_ASSERTN((2 <= b) && (b <= 36));
-
- MPFR_TMP_MARK(marker);
-
- /* initialization of a, b, f, h */
-
- /* normalize the base */
- B = (mp_limb_t) b;
- count_leading_zeros (h, B);
-
- bits = BITS_PER_MP_LIMB - h;
-
- B = B << h;
- h = - h;
-
- /* allocate space for A and set it to B */
- c = (mp_limb_t*) MPFR_TMP_ALLOC(2 * n * BYTES_PER_MP_LIMB);
- a [n - 1] = B;
- MPN_ZERO (a, n - 1);
- /* initial exponent for A: invariant is A = {a, n} * 2^f */
- f = h - (n - 1) * BITS_PER_MP_LIMB;
-
- /* determine number of bits in e */
- count_leading_zeros (t, (mp_limb_t) e);
-
- t = BITS_PER_MP_LIMB - t; /* number of bits of exponent e */
-
- error = t; /* error <= BITS_PER_MP_LIMB */
-
- MPN_ZERO (c, 2 * n);
-
- for (i = t - 2; i >= 0; i--)
- {
-
- /* determine precision needed */
- bits = n * BITS_PER_MP_LIMB - mpn_scan1 (a, 0);
- n1 = (n * BITS_PER_MP_LIMB - bits) / BITS_PER_MP_LIMB;
-
- /* square of A : {c+2n1, 2(n-n1)} = {a+n1, n-n1}^2 */
- mpn_sqr_n (c + 2 * n1, a + n1, n - n1);
-
- /* set {c+n, 2n1-n} to 0 : {c, n} = {a, n}^2*K^n */
-
- /* check overflow on f */
- if (MPFR_UNLIKELY(f < MPFR_EXP_MIN/2 || f > MPFR_EXP_MAX/2))
- {
- overflow:
- MPFR_TMP_FREE(marker);
- return -2;
- }
- /* FIXME: Could f = 2*f + n * BITS_PER_MP_LIMB be used? */
- f = 2*f;
- MPFR_SADD_OVERFLOW (f, f, n * BITS_PER_MP_LIMB,
- mp_exp_t, mp_exp_unsigned_t,
- MPFR_EXP_MIN, MPFR_EXP_MAX,
- goto overflow, goto overflow);
- if ((c[2*n - 1] & MPFR_LIMB_HIGHBIT) == 0)
- {
- /* shift A by one bit to the left */
- mpn_lshift (a, c + n, n, 1);
- a[0] |= mpn_lshift (c + n - 1, c + n - 1, 1, 1);
- f --;
- if (error != t)
- err_s_a2 ++;
- }
- else
- MPN_COPY (a, c + n, n);
-
- if ((error == t) && (2 * n1 <= n) &&
- (mpn_scan1 (c + 2 * n1, 0) < (n - 2 * n1) * BITS_PER_MP_LIMB))
- error = i;
-
- if (e & ((mp_exp_t) 1 << i))
- {
- /* multiply A by B */
- c[2 * n - 1] = mpn_mul_1 (c + n - 1, a, n, B);
- f += h + BITS_PER_MP_LIMB;
- if ((c[2 * n - 1] & MPFR_LIMB_HIGHBIT) == 0)
- { /* shift A by one bit to the left */
- mpn_lshift (a, c + n, n, 1);
- a[0] |= mpn_lshift (c + n - 1, c + n - 1, 1, 1);
- f --;
- }
- else
- {
- MPN_COPY (a, c + n, n);
- if (error != t)
- err_s_ab ++;
- }
- if ((error == t) && (c[n - 1] != 0))
- error = i;
- }
- }
-
- MPFR_TMP_FREE(marker);
-
- *exp_r = f;
-
- if (error == t)
- return -1; /* result is exact */
- else /* error <= t-2 <= BITS_PER_MP_LIMB-2
- err_s_ab, err_s_a2 <= t-1 */
- {
- /* if there are p loops after the first inexact result, with
- j shifts in a^2 and l shifts in a*b, then the final error is
- at most 2^(p+ceil((j+1)/2)+l+1)*ulp(res).
- This is bounded by 2^(5/2*t-1/2) where t is the number of bits of e.
- */
- error = error + err_s_ab + err_s_a2 / 2 + 3; /* <= 5t/2-1/2 */
-#if 0
- if ((error - 1) >= ((n * BITS_PER_MP_LIMB - 1) / 2))
- error = n * BITS_PER_MP_LIMB; /* result is completely wrong:
- this is very unlikely since error is
- at most 5/2*log_2(e), and
- n * BITS_PER_MP_LIMB is at least
- 3*log_2(e) */
-#endif
- return error;
- }
-}
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