Reverse-merged r6804 (not ready for MPFR 3.0.0).

git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/branches/3.0@6815 280ebfd0-de03-0410-8827-d642c229c3f4

1 files changed, 0 insertions, 174 deletions

diff --git a/gammaonethird.c b/gammaonethird.c
deleted file mode 100644
index 628471e71..000000000
--- a/gammaonethird.c
+++ /dev/null
@@ -1,174 +0,0 @@
-/* Functions for evaluating Gamma(1/3) and Gamma(2/3). Used by mpfr_ai.
-
-Copyright 2010 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 3 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.LESSER.  If not, see
-http://www.gnu.org/licenses/ or 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>
-
-#define MPFR_ACC_OR_MUL(v)                              \
-  if (v <= ULONG_MAX / acc) acc *= v;                   \
-  else { mpfr_mul_ui (y, y, acc, mode); acc = v; }
-
-#define MPFR_ACC_OR_DIV(v)                              \
-  if (v <= ULONG_MAX / acc) acc *= v;                   \
-  else { mpfr_div_ui (y, y, acc, mode); acc = v; }
-
-void
-mpfr_mul_ui5 (mpfr_ptr y, mpfr_srcptr x,
-              unsigned long int v1, unsigned long int v2,
-              unsigned long int v3, unsigned long int v4,
-              unsigned long int v5, mpfr_rnd_t mode)
-{
-  unsigned long int acc = v1;
-  mpfr_set (y, x, mode);
-  MPFR_ACC_OR_MUL (v2);
-  MPFR_ACC_OR_MUL (v3);
-  MPFR_ACC_OR_MUL (v4);
-  MPFR_ACC_OR_MUL (v5);
-  mpfr_mul_ui (y, y, acc, mode);
-}
-
-void
-mpfr_div_ui2 (mpfr_ptr y, mpfr_srcptr x,
-              unsigned long int v1, unsigned long int v2, mpfr_rnd_t mode)
-{
-  unsigned long int acc = v1;
-  mpfr_set (y, x, mode);
-  MPFR_ACC_OR_DIV (v2);
-  mpfr_div_ui (y, y, acc, mode);
-}
-
-void
-mpfr_div_ui8 (mpfr_ptr y, mpfr_srcptr x,
-              unsigned long int v1, unsigned long int v2,
-              unsigned long int v3, unsigned long int v4,
-              unsigned long int v5, unsigned long int v6,
-              unsigned long int v7, unsigned long int v8, mpfr_rnd_t mode)
-{
-  unsigned long int acc = v1;
-  mpfr_set (y, x, mode);
-  MPFR_ACC_OR_DIV (v2);
-  MPFR_ACC_OR_DIV (v3);
-  MPFR_ACC_OR_DIV (v4);
-  MPFR_ACC_OR_DIV (v5);
-  MPFR_ACC_OR_DIV (v6);
-  MPFR_ACC_OR_DIV (v7);
-  MPFR_ACC_OR_DIV (v8);
-  mpfr_div_ui (y, y, acc, mode);
-}
-
-
-/* Gives an approximation of omega = Gamma(1/3)^6 * sqrt(10) / (12pi^4) */
-/* using C. H. Brown's formula.                                         */
-/* The computed value s satisfies |s-omega| <= 2^{1-prec}*omega         */
-/* As usual, the variable s is supposed to be initialized.              */
-mpfr_Browns_const (mpfr_ptr s, mp_prec_t prec)
-{
-  mpfr_t uk;
-  unsigned long int k;
-
-  mp_prec_t working_prec = prec + 10 + MPFR_INT_CEIL_LOG2 (2 + prec / 10);
-
-  mpfr_init2 (uk, working_prec);
-  mpfr_set_prec (s, working_prec);
-
-  mpfr_set_ui (uk, 1, MPFR_RNDN);
-  mpfr_set (s, uk, MPFR_RNDN);
-  k = 1;
-
-  /* Invariants: uk ~ u(k-1) and s ~ sum(i=0..k-1, u(i)) */
-  for (;;)
-    {
-      mpfr_mul_ui5 (uk, uk, 6 * k - 5, 6 * k - 4, 6 * k - 3, 6 * k - 2,
-                    6 * k - 1, MPFR_RNDN);
-      mpfr_div_ui8 (uk, uk, k, k, 3 * k - 2, 3 * k - 1, 3 * k, 80, 160, 160,
-                    MPFR_RNDN);
-      MPFR_CHANGE_SIGN (uk);
-
-      mpfr_add (s, s, uk, MPFR_RNDN);
-      k++;
-      if (MPFR_EXP (uk) + (signed) prec <= MPFR_EXP (s) + 7)
-        break;
-    }
-
-  mpfr_clear (uk);
-  return;
-}
-
-/* Returns y such that |Gamma(1/3)-y| <= 2^{1-prec}*Gamma(1/3) */
-int
-mpfr_gamma_one_third (mpfr_ptr y, mp_prec_t prec)
-{
-  mpfr_t tmp, tmp2, tmp3;
-
-  mpfr_init2 (tmp, prec + 9);
-  mpfr_init2 (tmp2, prec + 9);
-  mpfr_init2 (tmp3, prec + 4);
-  mpfr_set_prec (y, prec + 2);
-
-  mpfr_const_pi (tmp, MPFR_RNDN);
-  mpfr_sqr (tmp, tmp, MPFR_RNDN);
-  mpfr_sqr (tmp, tmp, MPFR_RNDN);
-  mpfr_mul_ui (tmp, tmp, 12, MPFR_RNDN);
-
-  mpfr_Browns_const (tmp2, prec + 9);
-  mpfr_mul (tmp, tmp, tmp2, MPFR_RNDN);
-
-  mpfr_set_ui (tmp2, 10, MPFR_RNDN);
-  mpfr_sqrt (tmp2, tmp2, MPFR_RNDN);
-  mpfr_div (tmp, tmp, tmp2, MPFR_RNDN);
-
-  mpfr_sqrt (tmp3, tmp, MPFR_RNDN);
-  mpfr_cbrt (y, tmp3, MPFR_RNDN);
-
-  mpfr_clear (tmp);
-  mpfr_clear (tmp2);
-  mpfr_clear (tmp3);
-  return;
-}
-
-/* Computes y1 and y2 such that:                                      */
-/*        |y1-Gamma(1/3)| <= 2^{1-prec}Gamma(1/3)                     */
-/*  and   |y2-Gamma(2/3)| <= 2^{1-prec}Gamma(2/3)                     */
-/*                                                                    */
-/* Uses the formula Gamma(z)Gamma(1-z) = pi / sin(pi*z)               */
-/* to compute Gamma(2/3) from Gamma(1/3).                             */
-int
-mpfr_gamma_one_and_two_third (mpfr_ptr y1, mpfr_ptr y2, mp_prec_t prec)
-{
-  mpfr_t temp;
-
-  mpfr_init2 (temp, prec + 4);
-  mpfr_set_prec (y2, prec + 4);
-
-  mpfr_gamma_one_third (y1, prec + 4);
-
-  mpfr_set_ui (temp, 3, MPFR_RNDN);
-  mpfr_sqrt (temp, temp, MPFR_RNDN);
-  mpfr_mul (temp, y1, temp, MPFR_RNDN);
-
-  mpfr_const_pi (y2, MPFR_RNDN);
-  mpfr_mul_2ui (y2, y2, 1, MPFR_RNDN);
-
-  mpfr_div (y2, y2, temp, MPFR_RNDN);
-
-  mpfr_clear (temp);
-}