1 Copyright 1999, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
2 Contributed by the AriC and Caramel projects, INRIA.
4 This file is part of the GNU MPFR Library.
6 The GNU MPFR Library is free software; you can redistribute it and/or modify
7 it under the terms of the GNU Lesser General Public License as published by
8 the Free Software Foundation; either version 3 of the License, or (at your
9 option) any later version.
11 The GNU MPFR Library is distributed in the hope that it will be useful, but
12 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
13 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
14 License for more details.
16 You should have received a copy of the GNU Lesser General Public License
17 along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
18 http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
19 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
21 ##############################################################################
25 * The overflow/underflow exceptions may be badly handled in some functions;
26 specially when the intermediary internal results have exponent which
27 exceeds the hardware limit (2^30 for a 32 bits CPU, and 2^62 for a 64 bits
28 CPU) or the exact result is close to an overflow/underflow threshold.
30 * Under Linux/x86 with the traditional FPU, some functions do not work
31 if the FPU rounding precision has been changed to single (this is a
32 bad practice and should be useless, but one never knows what other
35 * Some functions do not use MPFR_SAVE_EXPO_* macros, thus do not behave
36 correctly in a reduced exponent range.
38 * Function hypot gives incorrect result when on the one hand the difference
39 between parameters' exponents is near 2*MPFR_EMAX_MAX and on the other hand
40 the output precision or the precision of the parameter with greatest
41 absolute value is greater than 2*MPFR_EMAX_MAX-4.
45 * Possible incorrect results due to internal underflow, which can lead to
46 a huge loss of accuracy while the error analysis doesn't take that into
47 account. If the underflow occurs at the last function call (just before
48 the MPFR_CAN_ROUND), the result should be correct (or MPFR gets into an
49 infinite loop). TODO: check the code and the error analysis.
51 * Possible integer overflows on some machines.
53 * Possible bugs with huge precisions (> 2^30).
55 * Possible bugs if the chosen exponent range does not allow to represent
58 * Possible infinite loop in some functions for particular cases: when
59 the exact result is an exactly representable number or the middle of
60 consecutive two such numbers. However for non-algebraic functions, it is
61 believed that no such case exists, except the well-known cases like cos(0)=1,
62 exp(0)=1, and so on, and the x^y function when y is an integer or y=1/2^k.
64 * The mpfr_set_ld function may be quite slow if the long double type has an
65 exponent of more than 15 bits.
67 * mpfr_set_d may give wrong results on some non-IEEE architectures.
69 * Error analysis for some functions may be incorrect (out-of-date due
70 to modifications in the code?).
72 * Possible use of non-portable feature (pre-C99) of the integer division