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Diffstat (limited to 'examples/rndo-add.c')
-rw-r--r-- | examples/rndo-add.c | 91 |
1 files changed, 91 insertions, 0 deletions
diff --git a/examples/rndo-add.c b/examples/rndo-add.c new file mode 100644 index 0000000..73b8a80 --- /dev/null +++ b/examples/rndo-add.c @@ -0,0 +1,91 @@ +/* This example was presented at the CNC'2 summer school on MPFR and MPC at + * LORIA, Nancy, France. It shows how one can use different rounding modes. + * This example implements the OddRoundedAdd algorithm, which returns the + * sum z = x + y rounded-to-odd: + * * RO(z) = z if z is exactly representable; + * * otherwise RO(z) is the value among RD(z) and RU(z) whose + * least significant bit is a one. + */ + +/* +Copyright 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc. +Contributed by the AriC and Caramel 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. +*/ + +#include <stdio.h> +#include <stdlib.h> +#include <gmp.h> +#include <mpfr.h> + +#define LIST x, y, d, u, e, z + +int main (int argc, char **argv) +{ + mpfr_t LIST; + mpfr_prec_t prec; + int pprec; /* will be prec - 1 for mpfr_printf */ + + if (argc != 4) + { + fprintf (stderr, "Usage: rndo-add <prec> <x> <y>\n"); + exit (1); + } + + prec = atoi (argv[1]); + if (prec < 2) + { + fprintf (stderr, "rndo-add: bad precision\n"); + exit (1); + } + pprec = prec - 1; + + mpfr_inits2 (prec, LIST, (mpfr_ptr) 0); + + if (mpfr_set_str (x, argv[2], 0, MPFR_RNDN)) + { + fprintf (stderr, "rndo-add: bad x value\n"); + exit (1); + } + mpfr_printf ("x = %.*Rb\n", pprec, x); + + if (mpfr_set_str (y, argv[3], 0, MPFR_RNDN)) + { + fprintf (stderr, "rndo-add: bad y value\n"); + exit (1); + } + mpfr_printf ("y = %.*Rb\n", pprec, y); + + mpfr_add (d, x, y, MPFR_RNDD); + mpfr_printf ("d = %.*Rb\n", pprec, d); + + mpfr_add (u, x, y, MPFR_RNDU); + mpfr_printf ("u = %.*Rb\n", pprec, u); + + mpfr_add (e, d, u, MPFR_RNDN); + mpfr_div_2ui (e, e, 1, MPFR_RNDN); + mpfr_printf ("e = %.*Rb\n", pprec, e); + + mpfr_sub (z, u, e, MPFR_RNDN); + mpfr_add (z, z, d, MPFR_RNDN); + mpfr_printf ("z = %.*Rb\n", pprec, z); + + mpfr_clears (LIST, (mpfr_ptr) 0); + return 0; +} |