14a238c70SJohn Marino /* __gmpfr_ceil_log2 - returns ceil(log(d)/log(2))
24a238c70SJohn Marino
3*ab6d115fSJohn Marino Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
4*ab6d115fSJohn Marino Contributed by the AriC and Caramel projects, INRIA.
54a238c70SJohn Marino
64a238c70SJohn Marino This file is part of the GNU MPFR Library.
74a238c70SJohn Marino
84a238c70SJohn Marino The GNU MPFR Library is free software; you can redistribute it and/or modify
94a238c70SJohn Marino it under the terms of the GNU Lesser General Public License as published by
104a238c70SJohn Marino the Free Software Foundation; either version 3 of the License, or (at your
114a238c70SJohn Marino option) any later version.
124a238c70SJohn Marino
134a238c70SJohn Marino The GNU MPFR Library is distributed in the hope that it will be useful, but
144a238c70SJohn Marino WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
154a238c70SJohn Marino or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
164a238c70SJohn Marino License for more details.
174a238c70SJohn Marino
184a238c70SJohn Marino You should have received a copy of the GNU Lesser General Public License
194a238c70SJohn Marino along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
204a238c70SJohn Marino http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
214a238c70SJohn Marino 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
224a238c70SJohn Marino
234a238c70SJohn Marino #include "mpfr-impl.h"
244a238c70SJohn Marino
254a238c70SJohn Marino /* returns ceil(log(d)/log(2)) if d > 0,
264a238c70SJohn Marino -1023 if d = +0,
274a238c70SJohn Marino and floor(log(-d)/log(2))+1 if d < 0*/
284a238c70SJohn Marino long
__gmpfr_ceil_log2(double d)294a238c70SJohn Marino __gmpfr_ceil_log2 (double d)
304a238c70SJohn Marino {
314a238c70SJohn Marino long exp;
324a238c70SJohn Marino #if _GMP_IEEE_FLOATS
334a238c70SJohn Marino union ieee_double_extract x;
344a238c70SJohn Marino
354a238c70SJohn Marino x.d = d;
364a238c70SJohn Marino exp = x.s.exp - 1023;
374a238c70SJohn Marino x.s.exp = 1023; /* value for 1 <= d < 2 */
384a238c70SJohn Marino if (x.d != 1.0) /* d: not a power of two? */
394a238c70SJohn Marino exp++;
404a238c70SJohn Marino return exp;
414a238c70SJohn Marino #else
424a238c70SJohn Marino double m;
434a238c70SJohn Marino
444a238c70SJohn Marino if (d < 0.0)
454a238c70SJohn Marino return __gmpfr_floor_log2(-d)+1;
464a238c70SJohn Marino else if (d == 0.0)
474a238c70SJohn Marino return -1023;
484a238c70SJohn Marino else if (d >= 1.0)
494a238c70SJohn Marino {
504a238c70SJohn Marino exp = 0;
514a238c70SJohn Marino for( m= 1.0 ; m < d ; m *=2.0 )
524a238c70SJohn Marino exp++;
534a238c70SJohn Marino }
544a238c70SJohn Marino else
554a238c70SJohn Marino {
564a238c70SJohn Marino exp = 1;
574a238c70SJohn Marino for( m= 1.0 ; m >= d ; m *= (1.0/2.0) )
584a238c70SJohn Marino exp--;
594a238c70SJohn Marino }
604a238c70SJohn Marino #endif
614a238c70SJohn Marino return exp;
624a238c70SJohn Marino }
634a238c70SJohn Marino
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