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authorvlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2010-08-17 09:10:13 +0000
committervlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2010-08-17 09:10:13 +0000
commitc9583bdfe064e1069828e518533f7bc29a8fdddb (patch)
tree2400842d4095628b8486fbeabaf7bc7b8af4ed02 /src/mulders.c
parent50ac5b5985174201c7fa6e20496cd2b096107001 (diff)
downloadmpfr-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/mulders.c')
-rw-r--r--src/mulders.c115
1 files changed, 115 insertions, 0 deletions
diff --git a/src/mulders.c b/src/mulders.c
new file mode 100644
index 000000000..5faacb3be
--- /dev/null
+++ b/src/mulders.c
@@ -0,0 +1,115 @@
+/* Mulder's MulHigh function (short product)
+
+Copyright 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"
+
+#ifndef MUL_FFT_THRESHOLD
+#define MUL_FFT_THRESHOLD 8448
+#endif
+
+/* Don't use MPFR_MULHIGH_SIZE since it is handled by tuneup */
+#ifdef MPFR_MULHIGH_TAB_SIZE
+static short mulhigh_ktab[MPFR_MULHIGH_TAB_SIZE];
+#else
+static short mulhigh_ktab[] = {MPFR_MULHIGH_TAB};
+#define MPFR_MULHIGH_TAB_SIZE \
+ ((mp_size_t) (sizeof(mulhigh_ktab) / sizeof(mulhigh_ktab[0])))
+#endif
+
+/* Put in rp[n..2n-1] an approximation of the n high limbs
+ of {mp, n} * {np, n}.
+ The error is at worst of ln(n) for rp[n] and rp[n-1] is totally wrong */
+static void
+mpfr_mulhigh_n_basecase (mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n)
+{
+ mp_size_t i;
+
+ rp += n-1;
+ umul_ppmm (rp[1], rp[0], up[n-1], vp[0]);
+ for (i = 1 ; i < n ; i++)
+ rp[i+1] = mpn_addmul_1 (rp, up + (n - i - 1), i+1, vp[i]);
+}
+
+void
+mpfr_mulhigh_n (mp_ptr rp, mp_srcptr np, mp_srcptr mp, mp_size_t n)
+{
+ mp_size_t k;
+
+ MPFR_ASSERTD (MPFR_MULHIGH_TAB_SIZE > 4);
+ k = MPFR_LIKELY (n < MPFR_MULHIGH_TAB_SIZE) ? mulhigh_ktab[n] : 2*n/3;
+ MPFR_ASSERTD (k == -1 || k == 0 || (k > n/2 && k < n));
+ if (k < 0)
+ mpn_mul_basecase (rp, np, n, mp, n);
+ else if (k == 0)
+ mpfr_mulhigh_n_basecase (rp, np, mp, n);
+ else if (n > MUL_FFT_THRESHOLD)
+ mpn_mul_n (rp, np, mp, n);
+ else
+ {
+ mp_size_t l = n - k;
+ mp_limb_t cy;
+
+ mpn_mul_n (rp + 2 * l, np + l, mp + l, k); /* fills rp[2l..2n-1] */
+ mpfr_mulhigh_n (rp, np + k, mp, l); /* fills rp[l-1..2l-1] */
+ cy = mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
+ mpfr_mulhigh_n (rp, np, mp + k, l); /* fills rp[l-1..2l-1] */
+ cy += mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
+ mpn_add_1 (rp + n + l, rp + n + l, k, cy); /* propagate carry */
+ }
+}
+
+#ifdef MPFR_SQRHIGH_TAB_SIZE
+static short sqrhigh_ktab[MPFR_SQRHIGH_TAB_SIZE];
+#else
+static short sqrhigh_ktab[] = {MPFR_SQRHIGH_TAB};
+#define MPFR_SQRHIGH_TAB_SIZE (sizeof(sqrhigh_ktab) / sizeof(sqrhigh_ktab[0]))
+#endif
+
+void
+mpfr_sqrhigh_n (mp_ptr rp, mp_srcptr np, mp_size_t n)
+{
+ mp_size_t k;
+
+ MPFR_ASSERTD (MPFR_SQRHIGH_TAB_SIZE > 4);
+ k = MPFR_LIKELY (n < MPFR_SQRHIGH_TAB_SIZE) ? sqrhigh_ktab[n] : 2*n/3;
+ MPFR_ASSERTD (k == -1 || k == 0 || (k > n/2 && k < n));
+ if (k < 0)
+ /* we can't use mpn_sqr_basecase here, since it requires
+ n <= SQR_KARATSUBA_THRESHOLD, where SQR_KARATSUBA_THRESHOLD
+ is not exported by GMP */
+ mpn_sqr_n (rp, np, n);
+ else if (k == 0)
+ mpfr_mulhigh_n_basecase (rp, np, np, n);
+ else
+ {
+ mp_size_t l = n - k;
+ mp_limb_t cy;
+
+ mpn_sqr_n (rp + 2 * l, np + l, k); /* fills rp[2l..2n-1] */
+ mpfr_mulhigh_n (rp, np, np + k, l); /* fills rp[l-1..2l-1] */
+ /* FIXME: maybe shift by 2 is a better idea but it has to handle carry*/
+ cy = mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
+ cy += mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
+ mpn_add_1 (rp + n + l, rp + n + l, k, cy); /* propagate carry */
+ }
+}