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Unified Diff: gcc/mpfr/pow_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/mpfr/pow_ui.c
diff --git a/gcc/mpfr/pow_ui.c b/gcc/mpfr/pow_ui.c
deleted file mode 100644
index 67894da0e0f8ec96b10fc443ea514be67e640f3e..0000000000000000000000000000000000000000
--- a/gcc/mpfr/pow_ui.c
+++ /dev/null
@@ -1,161 +0,0 @@
-/* mpfr_pow_ui-- compute the power of a floating-point
- by a machine integer
-
-Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
-Contributed by the Arenaire and Cacao projects, INRIA.
-
-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"
-
-/* sets y to x^n, and return 0 if exact, non-zero otherwise */
-int
-mpfr_pow_ui (mpfr_ptr y, mpfr_srcptr x, unsigned long int n, mp_rnd_t rnd)
-{
- unsigned long m;
- mpfr_t res;
- mp_prec_t prec, err;
- int inexact;
- mp_rnd_t rnd1;
- MPFR_SAVE_EXPO_DECL (expo);
- MPFR_ZIV_DECL (loop);
- MPFR_BLOCK_DECL (flags);
-
- MPFR_LOG_FUNC (("x[%#R]=%R n=%lu rnd=%d", x, x, n, rnd),
- ("y[%#R]=%R inexact=%d", y, y, inexact));
-
- /* x^0 = 1 for any x, even a NaN */
- if (MPFR_UNLIKELY (n == 0))
- return mpfr_set_ui (y, 1, rnd);
-
- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
- {
- if (MPFR_IS_NAN (x))
- {
- MPFR_SET_NAN (y);
- MPFR_RET_NAN;
- }
- else if (MPFR_IS_INF (x))
- {
- /* Inf^n = Inf, (-Inf)^n = Inf for n even, -Inf for n odd */
- if (MPFR_IS_NEG (x) && (n & 1) == 1)
- MPFR_SET_NEG (y);
- else
- MPFR_SET_POS (y);
- MPFR_SET_INF (y);
- MPFR_RET (0);
- }
- else /* x is zero */
- {
- MPFR_ASSERTD (MPFR_IS_ZERO (x));
- /* 0^n = 0 for any n */
- MPFR_SET_ZERO (y);
- if (MPFR_IS_POS (x) || (n & 1) == 0)
- MPFR_SET_POS (y);
- else
- MPFR_SET_NEG (y);
- MPFR_RET (0);
- }
- }
- else if (MPFR_UNLIKELY (n <= 2))
- {
- if (n < 2)
- /* x^1 = x */
- return mpfr_set (y, x, rnd);
- else
- /* x^2 = sqr(x) */
- return mpfr_sqr (y, x, rnd);
- }
-
- /* Augment exponent range */
- MPFR_SAVE_EXPO_MARK (expo);
-
- /* setup initial precision */
- prec = MPFR_PREC (y) + 3 + BITS_PER_MP_LIMB
- + MPFR_INT_CEIL_LOG2 (MPFR_PREC (y));
- mpfr_init2 (res, prec);
-
- rnd1 = MPFR_IS_POS (x) ? GMP_RNDU : GMP_RNDD; /* away */
-
- MPFR_ZIV_INIT (loop, prec);
- for (;;)
- {
- int i;
-
- for (m = n, i = 0; m; i++, m >>= 1)
- ;
- /* now 2^(i-1) <= n < 2^i */
- MPFR_ASSERTD (prec > (mpfr_prec_t) i);
- err = prec - 1 - (mpfr_prec_t) i;
- /* First step: compute square from x */
- MPFR_BLOCK (flags,
- inexact = mpfr_mul (res, x, x, GMP_RNDU);
- MPFR_ASSERTD (i >= 2);
- if (n & (1UL << (i-2)))
- inexact |= mpfr_mul (res, res, x, rnd1);
- for (i -= 3; i >= 0 && !MPFR_BLOCK_EXCEP; i--)
- {
- inexact |= mpfr_mul (res, res, res, GMP_RNDU);
- if (n & (1UL << i))
- inexact |= mpfr_mul (res, res, x, rnd1);
- });
- /* let r(n) be the number of roundings: we have r(2)=1, r(3)=2,
- and r(2n)=2r(n)+1, r(2n+1)=2r(n)+2, thus r(n)=n-1.
- Using Higham's method, to each rounding corresponds a factor
- (1-theta) with 0 <= theta <= 2^(1-p), thus at the end the
- absolute error is bounded by (n-1)*2^(1-p)*res <= 2*(n-1)*ulp(res)
- since 2^(-p)*x <= ulp(x). Since n < 2^i, this gives a maximal
- error of 2^(1+i)*ulp(res).
- */
- if (MPFR_LIKELY (inexact == 0
- || MPFR_OVERFLOW (flags) || MPFR_UNDERFLOW (flags)
- || MPFR_CAN_ROUND (res, err, MPFR_PREC (y), rnd)))
- break;
- /* Actualisation of the precision */
- MPFR_ZIV_NEXT (loop, prec);
- mpfr_set_prec (res, prec);
- }
- MPFR_ZIV_FREE (loop);
-
- if (MPFR_UNLIKELY (MPFR_OVERFLOW (flags) || MPFR_UNDERFLOW (flags)))
- {
- mpz_t z;
-
- /* Internal overflow or underflow. However the approximation error has
- * not been taken into account. So, let's solve this problem by using
- * mpfr_pow_z, which can handle it. This case could be improved in the
- * future, without having to use mpfr_pow_z.
- */
- MPFR_LOG_MSG (("Internal overflow or underflow,"
- " let's use mpfr_pow_z.\n", 0));
- mpfr_clear (res);
- MPFR_SAVE_EXPO_FREE (expo);
- mpz_init (z);
- mpz_set_ui (z, n);
- inexact = mpfr_pow_z (y, x, z, rnd);
- mpz_clear (z);
- return inexact;
- }
-
- inexact = mpfr_set (y, res, rnd);
- mpfr_clear (res);
-
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (y, inexact, rnd);
-}
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