diff options
author | vlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4> | 2010-08-17 09:10:13 +0000 |
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committer | vlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4> | 2010-08-17 09:10:13 +0000 |
commit | c9583bdfe064e1069828e518533f7bc29a8fdddb (patch) | |
tree | 2400842d4095628b8486fbeabaf7bc7b8af4ed02 /src/gmp_op.c | |
parent | 50ac5b5985174201c7fa6e20496cd2b096107001 (diff) | |
download | mpfr-c9583bdfe064e1069828e518533f7bc29a8fdddb.tar.gz |
Source reorganization. In short:
* Added directories and moved related files into them:
- src for the MPFR source files (to build the library).
- doc for documentation files (except INSTALL, README...).
- tools for various tools (scripts) and mbench.
- tune for tuneup-related source files.
- other for other source files (not distributed in tarballs).
Existing directories:
- tests for the source files of the test suite (make check).
- examples for examples.
- m4 for m4 files.
* Renamed configure.in to configure.ac.
* Added/updated Makefile.am files where needed.
* Updated acinclude.m4 and configure.ac (AC_CONFIG_FILES line).
* Updated the documentation (INSTALL, README, doc/README.dev and
doc/mpfr.texi).
* Updated NEWS and TODO.
* Updated the scripts now in tools.
The following script was used:
#!/usr/bin/env zsh
svn mkdir doc other src tools tune
svn mv ${${(M)$(sed -n '/libmpfr_la_SOURCES/,/[^\]$/p' \
Makefile.am):#*.[ch]}:#get_patches.c} mparam_h.in \
round_raw_generic.c jyn_asympt.c src
svn mv mbench check_inits_clears coverage get_patches.sh mpfrlint \
nightly-test update-patchv update-version tools
svn mv bidimensional_sample.c speed.c tuneup.c tune
svn mv *.{c,h} other
svn mv FAQ.html README.dev algorithm* faq.xsl fdl.texi mpfr.texi \
update-faq doc
svn mv configure.in configure.ac
svn cp Makefile.am src/Makefile.am
svn rm replace_all
[Modifying some files, see above]
svn add doc/Makefile.am
svn add tune/Makefile.am
git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@7087 280ebfd0-de03-0410-8827-d642c229c3f4
Diffstat (limited to 'src/gmp_op.c')
-rw-r--r-- | src/gmp_op.c | 345 |
1 files changed, 345 insertions, 0 deletions
diff --git a/src/gmp_op.c b/src/gmp_op.c new file mode 100644 index 000000000..a738c2427 --- /dev/null +++ b/src/gmp_op.c @@ -0,0 +1,345 @@ +/* Implementations of operations between mpfr and mpz/mpq data + +Copyright 2001, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc. +Contributed by the Arenaire 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. */ + +#define MPFR_NEED_LONGLONG_H +#include "mpfr-impl.h" + +/* Init and set a mpfr_t with enough precision to store a mpz */ +static void +init_set_z (mpfr_ptr t, mpz_srcptr z) +{ + mpfr_prec_t p; + int i; + + if (mpz_size (z) <= 1) + p = GMP_NUMB_BITS; + else + MPFR_MPZ_SIZEINBASE2 (p, z); + mpfr_init2 (t, p); + i = mpfr_set_z (t, z, MPFR_RNDN); + MPFR_ASSERTD (i == 0); (void) i; /* use i to avoid a warning */ +} + +/* Init, set a mpfr_t with enough precision to store a mpz_t without round, + call the function, and clear the allocated mpfr_t */ +static int +foo (mpfr_ptr x, mpfr_srcptr y, mpz_srcptr z, mpfr_rnd_t r, + int (*f)(mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mpfr_rnd_t)) +{ + mpfr_t t; + int i; + init_set_z (t, z); + i = (*f) (x, y, t, r); + mpfr_clear (t); + return i; +} + +int +mpfr_mul_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r) +{ + return foo (y, x, z, r, mpfr_mul); +} + +int +mpfr_div_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r) +{ + return foo (y, x, z, r, mpfr_div); +} + +int +mpfr_add_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r) +{ + /* Mpz 0 is unsigned */ + if (MPFR_UNLIKELY (mpz_sgn (z) == 0)) + return mpfr_set (y, x, r); + else + return foo (y, x, z, r, mpfr_add); +} + +int +mpfr_sub_z (mpfr_ptr y, mpfr_srcptr x, mpz_srcptr z, mpfr_rnd_t r) +{ + /* Mpz 0 is unsigned */ + if (MPFR_UNLIKELY (mpz_sgn (z) == 0)) + return mpfr_set (y, x, r); + else + return foo (y, x, z, r, mpfr_sub); +} + +int +mpfr_cmp_z (mpfr_srcptr x, mpz_srcptr z) +{ + mpfr_t t; + int res; + init_set_z (t, z); + res = mpfr_cmp (x, t); + mpfr_clear (t); + return res; +} + +/* FIXME [VL] (for mpfr_mul_q and mpfr_div_q): an intermediate overflow + doesn't necessarily imply an overflow on the final result. Moreover + the exponent range should be extended in the usual way. + To fix this, I think that these functions should call a common + function mpfr_muldiv_z: + res = mpfr_muldiv_z (y, x, mpq_numref(z), mpq_denref(z), rnd_mode); + res = mpfr_muldiv_z (y, x, mpq_denref(z), mpq_numref(z), rnd_mode); + respectively, so that all the work isn't done twice. */ + +int +mpfr_mul_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mpfr_rnd_t rnd_mode) +{ + mpfr_t tmp; + int res; + mpfr_prec_t p; + + if (MPFR_UNLIKELY (mpq_sgn (z) == 0)) + return mpfr_mul_ui (y, x, 0, rnd_mode); + else + { + MPFR_MPZ_SIZEINBASE2 (p, mpq_numref (z)); + mpfr_init2 (tmp, MPFR_PREC (x) + p); + res = mpfr_mul_z (tmp, x, mpq_numref(z), MPFR_RNDN ); + if (MPFR_UNLIKELY (res != 0)) + { + /* overflow case */ + MPFR_ASSERTD (mpfr_inf_p (tmp)); + mpfr_set (y, tmp, MPFR_RNDN); /* exact */ + } + else + res = mpfr_div_z (y, tmp, mpq_denref(z), rnd_mode); + + mpfr_clear (tmp); + return res; + } +} + +int +mpfr_div_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mpfr_rnd_t rnd_mode) +{ + mpfr_t tmp; + int res; + mpfr_prec_t p; + + if (MPFR_UNLIKELY (mpq_sgn (z) == 0)) + return mpfr_div_ui (y, x, 0, rnd_mode); + else if (MPFR_UNLIKELY (mpz_sgn (mpq_denref (z)) == 0)) + p = 0; + else + MPFR_MPZ_SIZEINBASE2 (p, mpq_denref (z)); + mpfr_init2 (tmp, MPFR_PREC(x) + p); + res = mpfr_mul_z (tmp, x, mpq_denref(z), MPFR_RNDN ); + if (MPFR_UNLIKELY (res != 0)) + { + /* overflow case */ + MPFR_ASSERTD (mpfr_inf_p (tmp)); + mpfr_set (y, tmp, MPFR_RNDN); /* exact */ + } + else + res = mpfr_div_z (y, tmp, mpq_numref(z), rnd_mode); + + mpfr_clear (tmp); + return res; +} + +int +mpfr_add_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z, mpfr_rnd_t rnd_mode) +{ + mpfr_t t,q; + mpfr_prec_t p; + mpfr_exp_t err; + int res; + MPFR_ZIV_DECL (loop); + + if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x))) + { + if (MPFR_IS_NAN (x)) + { + MPFR_SET_NAN (y); + MPFR_RET_NAN; + } + else if (MPFR_IS_INF (x)) + { + MPFR_ASSERTD (mpz_sgn (mpq_denref (z)) != 0); + MPFR_SET_INF (y); + MPFR_SET_SAME_SIGN (y, x); + MPFR_RET (0); + } + else + { + MPFR_ASSERTD (MPFR_IS_ZERO (x)); + if (MPFR_UNLIKELY (mpq_sgn (z) == 0)) + return mpfr_set (y, x, rnd_mode); /* signed 0 - Unsigned 0 */ + else + return mpfr_set_q (y, z, rnd_mode); + } + } + + p = MPFR_PREC (y) + 10; + mpfr_init2 (t, p); + mpfr_init2 (q, p); + + MPFR_ZIV_INIT (loop, p); + for (;;) + { + res = mpfr_set_q (q, z, MPFR_RNDN); /* Error <= 1/2 ulp(q) */ + /* If z if @INF@ (1/0), res = 0, so it quits immediately */ + if (MPFR_UNLIKELY (res == 0)) + /* Result is exact so we can add it directly! */ + { + res = mpfr_add (y, x, q, rnd_mode); + break; + } + mpfr_add (t, x, q, MPFR_RNDN); /* Error <= 1/2 ulp(t) */ + /* Error / ulp(t) <= 1/2 + 1/2 * 2^(EXP(q)-EXP(t)) + If EXP(q)-EXP(t)>0, <= 2^(EXP(q)-EXP(t)-1)*(1+2^-(EXP(q)-EXP(t))) + <= 2^(EXP(q)-EXP(t)) + If EXP(q)-EXP(t)<0, <= 2^0 */ + /* We can get 0, but we can't round since q is inexact */ + if (MPFR_LIKELY (!MPFR_IS_ZERO (t))) + { + err = (mpfr_exp_t) p - 1 - MAX (MPFR_GET_EXP(q)-MPFR_GET_EXP(t), 0); + if (MPFR_LIKELY (MPFR_CAN_ROUND (t, err, MPFR_PREC (y), rnd_mode))) + { + res = mpfr_set (y, t, rnd_mode); + break; + } + } + MPFR_ZIV_NEXT (loop, p); + mpfr_set_prec (t, p); + mpfr_set_prec (q, p); + } + MPFR_ZIV_FREE (loop); + mpfr_clear (t); + mpfr_clear (q); + return res; +} + +int +mpfr_sub_q (mpfr_ptr y, mpfr_srcptr x, mpq_srcptr z,mpfr_rnd_t rnd_mode) +{ + mpfr_t t,q; + mpfr_prec_t p; + int res; + mpfr_exp_t err; + MPFR_ZIV_DECL (loop); + + if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x))) + { + if (MPFR_IS_NAN (x)) + { + MPFR_SET_NAN (y); + MPFR_RET_NAN; + } + else if (MPFR_IS_INF (x)) + { + MPFR_ASSERTD (mpz_sgn (mpq_denref (z)) != 0); + MPFR_SET_INF (y); + MPFR_SET_SAME_SIGN (y, x); + MPFR_RET (0); + } + else + { + MPFR_ASSERTD (MPFR_IS_ZERO (x)); + + if (MPFR_UNLIKELY (mpq_sgn (z) == 0)) + return mpfr_set (y, x, rnd_mode); /* signed 0 - Unsigned 0 */ + else + { + res = mpfr_set_q (y, z, MPFR_INVERT_RND (rnd_mode)); + MPFR_CHANGE_SIGN (y); + return -res; + } + } + } + + p = MPFR_PREC (y) + 10; + mpfr_init2 (t, p); + mpfr_init2 (q, p); + + MPFR_ZIV_INIT (loop, p); + for(;;) + { + res = mpfr_set_q(q, z, MPFR_RNDN); /* Error <= 1/2 ulp(q) */ + /* If z if @INF@ (1/0), res = 0, so it quits immediately */ + if (MPFR_UNLIKELY (res == 0)) + /* Result is exact so we can add it directly!*/ + { + res = mpfr_sub (y, x, q, rnd_mode); + break; + } + mpfr_sub (t, x, q, MPFR_RNDN); /* Error <= 1/2 ulp(t) */ + /* Error / ulp(t) <= 1/2 + 1/2 * 2^(EXP(q)-EXP(t)) + If EXP(q)-EXP(t)>0, <= 2^(EXP(q)-EXP(t)-1)*(1+2^-(EXP(q)-EXP(t))) + <= 2^(EXP(q)-EXP(t)) + If EXP(q)-EXP(t)<0, <= 2^0 */ + /* We can get 0, but we can't round since q is inexact */ + if (MPFR_LIKELY (!MPFR_IS_ZERO (t))) + { + err = (mpfr_exp_t) p - 1 - MAX (MPFR_GET_EXP(q)-MPFR_GET_EXP(t), 0); + res = MPFR_CAN_ROUND (t, err, MPFR_PREC (y), rnd_mode); + if (MPFR_LIKELY (res != 0)) /* We can round! */ + { + res = mpfr_set (y, t, rnd_mode); + break; + } + } + MPFR_ZIV_NEXT (loop, p); + mpfr_set_prec (t, p); + mpfr_set_prec (q, p); + } + MPFR_ZIV_FREE (loop); + mpfr_clear (t); + mpfr_clear (q); + return res; +} + +int +mpfr_cmp_q (mpfr_srcptr x, mpq_srcptr z) +{ + mpfr_t t; + int res; + mpfr_prec_t p; + /* x < a/b ? <=> x*b < a */ + MPFR_ASSERTD (mpz_sgn (mpq_denref (z)) != 0); + MPFR_MPZ_SIZEINBASE2 (p, mpq_denref (z)); + mpfr_init2 (t, MPFR_PREC(x) + p); + res = mpfr_mul_z (t, x, mpq_denref (z), MPFR_RNDN ); + MPFR_ASSERTD (res == 0); + res = mpfr_cmp_z (t, mpq_numref (z) ); + mpfr_clear (t); + return res; +} + +int +mpfr_cmp_f (mpfr_srcptr x, mpf_srcptr z) +{ + mpfr_t t; + int res; + + mpfr_init2 (t, MPFR_PREC_MIN + ABS(SIZ(z)) * GMP_NUMB_BITS ); + res = mpfr_set_f (t, z, MPFR_RNDN); + MPFR_ASSERTD (res == 0); + res = mpfr_cmp (x, t); + mpfr_clear (t); + return res; +} |