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Unified Diff: gcc/mpfr/acosh.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/acosh.c
diff --git a/gcc/mpfr/acosh.c b/gcc/mpfr/acosh.c
deleted file mode 100644
index 1d0c42781bed617f2b0ab2696edb3776bb632456..0000000000000000000000000000000000000000
--- a/gcc/mpfr/acosh.c
+++ /dev/null
@@ -1,156 +0,0 @@
-/* mpfr_acosh -- inverse hyperbolic cosine
-
-Copyright 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"
-
-/* The computation of acosh is done by *
- * acosh= ln(x + sqrt(x^2-1)) */
-
-int
-mpfr_acosh (mpfr_ptr y, mpfr_srcptr x , mp_rnd_t rnd_mode)
-{
- MPFR_SAVE_EXPO_DECL (expo);
- int inexact;
- int comp;
-
- MPFR_LOG_FUNC (("x[%#R]=%R rnd=%d", x, x, rnd_mode),
- ("y[%#R]=%R inexact=%d", y, y, inexact));
-
- /* Deal with special cases */
- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
- {
- /* Nan, or zero or -Inf */
- if (MPFR_IS_INF (x) && MPFR_IS_POS (x))
- {
- MPFR_SET_INF (y);
- MPFR_SET_POS (y);
- MPFR_RET (0);
- }
- else /* Nan, or zero or -Inf */
- {
- MPFR_SET_NAN (y);
- MPFR_RET_NAN;
- }
- }
- comp = mpfr_cmp_ui (x, 1);
- if (MPFR_UNLIKELY (comp < 0))
- {
- MPFR_SET_NAN (y);
- MPFR_RET_NAN;
- }
- else if (MPFR_UNLIKELY (comp == 0))
- {
- MPFR_SET_ZERO (y); /* acosh(1) = 0 */
- MPFR_SET_POS (y);
- MPFR_RET (0);
- }
- MPFR_SAVE_EXPO_MARK (expo);
-
- /* General case */
- {
- /* Declaration of the intermediary variables */
- mpfr_t t;
- /* Declaration of the size variables */
- mp_prec_t Ny = MPFR_PREC(y); /* Precision of output variable */
- mp_prec_t Nt; /* Precision of the intermediary variable */
- mp_exp_t err, exp_te, d; /* Precision of error */
- MPFR_ZIV_DECL (loop);
-
- /* compute the precision of intermediary variable */
- /* the optimal number of bits : see algorithms.tex */
- Nt = Ny + 4 + MPFR_INT_CEIL_LOG2 (Ny);
-
- /* initialization of intermediary variables */
- mpfr_init2 (t, Nt);
-
- /* First computation of acosh */
- MPFR_ZIV_INIT (loop, Nt);
- for (;;)
- {
- MPFR_BLOCK_DECL (flags);
-
- /* compute acosh */
- MPFR_BLOCK (flags, mpfr_mul (t, x, x, GMP_RNDD)); /* x^2 */
- if (MPFR_OVERFLOW (flags))
- {
- mpfr_t ln2;
- mp_prec_t pln2;
-
- /* As x is very large and the precision is not too large, we
- assume that we obtain the same result by evaluating ln(2x).
- We need to compute ln(x) + ln(2) as 2x can overflow. TODO:
- write a proof and add an MPFR_ASSERTN. */
- mpfr_log (t, x, GMP_RNDN); /* err(log) < 1/2 ulp(t) */
- pln2 = Nt - MPFR_PREC_MIN < MPFR_GET_EXP (t) ?
- MPFR_PREC_MIN : Nt - MPFR_GET_EXP (t);
- mpfr_init2 (ln2, pln2);
- mpfr_const_log2 (ln2, GMP_RNDN); /* err(ln2) < 1/2 ulp(t) */
- mpfr_add (t, t, ln2, GMP_RNDN); /* err <= 3/2 ulp(t) */
- mpfr_clear (ln2);
- err = 1;
- }
- else
- {
- exp_te = MPFR_GET_EXP (t);
- mpfr_sub_ui (t, t, 1, GMP_RNDD); /* x^2-1 */
- if (MPFR_UNLIKELY (MPFR_IS_ZERO (t)))
- {
- /* This means that x is very close to 1: x = 1 + t with
- t < 2^(-Nt). We have: acosh(x) = sqrt(2t) (1 - eps(t))
- with 0 < eps(t) < t / 12. */
- mpfr_sub_ui (t, x, 1, GMP_RNDD); /* t = x - 1 */
- mpfr_mul_2ui (t, t, 1, GMP_RNDN); /* 2t */
- mpfr_sqrt (t, t, GMP_RNDN); /* sqrt(2t) */
- err = 1;
- }
- else
- {
- d = exp_te - MPFR_GET_EXP (t);
- mpfr_sqrt (t, t, GMP_RNDN); /* sqrt(x^2-1) */
- mpfr_add (t, t, x, GMP_RNDN); /* sqrt(x^2-1)+x */
- mpfr_log (t, t, GMP_RNDN); /* ln(sqrt(x^2-1)+x) */
-
- /* error estimate -- see algorithms.tex */
- err = 3 + MAX (1, d) - MPFR_GET_EXP (t);
- /* error is bounded by 1/2 + 2^err <= 2^(max(0,1+err)) */
- err = MAX (0, 1 + err);
- }
- }
-
- if (MPFR_LIKELY (MPFR_CAN_ROUND (t, Nt - err, Ny, rnd_mode)))
- break;
-
- /* reactualisation of the precision */
- MPFR_ZIV_NEXT (loop, Nt);
- mpfr_set_prec (t, Nt);
- }
- MPFR_ZIV_FREE (loop);
-
- inexact = mpfr_set (y, t, rnd_mode);
-
- mpfr_clear (t);
- }
-
- MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_check_range (y, inexact, rnd_mode);
-}
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