/* -*-c-*-
*
- * $Id: mpx.h,v 1.14 2002/10/09 00:36:03 mdw Exp $
+ * $Id: mpx.h,v 1.18 2004/04/08 01:36:15 mdw Exp $
*
* Low level multiprecision arithmetic
*
* (c) 1999 Straylight/Edgeware
*/
-/*----- Licensing notice --------------------------------------------------*
+/*----- Licensing notice --------------------------------------------------*
*
* This file is part of Catacomb.
*
* it under the terms of the GNU Library General Public License as
* published by the Free Software Foundation; either version 2 of the
* License, or (at your option) any later version.
- *
+ *
* Catacomb 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 Library General Public License for more details.
- *
+ *
* You should have received a copy of the GNU Library General Public
* License along with Catacomb; if not, write to the Free
* Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
* MA 02111-1307, USA.
*/
-/*----- Revision history --------------------------------------------------*
- *
- * $Log: mpx.h,v $
- * Revision 1.14 2002/10/09 00:36:03 mdw
- * Fix bounds on workspace for Karatsuba operations.
- *
- * Revision 1.13 2002/10/06 22:52:50 mdw
- * Pile of changes for supporting two's complement properly.
- *
- * Revision 1.12 2001/04/03 19:36:05 mdw
- * Add some simple bitwise operations so that Perl can use them.
- *
- * Revision 1.11 2000/10/08 15:48:35 mdw
- * Rename Karatsuba constants now that we have @gfx_kmul@ too.
- *
- * Revision 1.10 2000/10/08 12:06:12 mdw
- * Provide @mpx_ueq@ for rapidly testing equality of two integers.
- *
- * Revision 1.9 1999/12/22 15:49:07 mdw
- * New function for division by a small integer.
- *
- * Revision 1.8 1999/12/11 10:57:43 mdw
- * Karatsuba squaring algorithm.
- *
- * Revision 1.7 1999/12/11 01:51:28 mdw
- * Change Karatsuba parameters slightly.
- *
- * Revision 1.6 1999/12/10 23:23:51 mdw
- * Karatsuba-Ofman multiplication algorithm.
- *
- * Revision 1.5 1999/11/20 22:23:27 mdw
- * Add function versions of some low-level macros with wider use.
- *
- * Revision 1.4 1999/11/17 18:04:43 mdw
- * Add two's complement support. Fix a bug in MPX_UMLAN.
- *
- * Revision 1.3 1999/11/13 01:51:29 mdw
- * Minor interface changes. Should be stable now.
- *
- * Revision 1.2 1999/11/11 17:47:55 mdw
- * Minor changes for different `mptypes.h' format.
- *
- * Revision 1.1 1999/09/03 08:41:12 mdw
- * Initial import.
- *
- */
-
#ifndef CATACOMB_MPX_H
#define CATACOMB_MPX_H
if (_v == _vl) \
(b) = 0; \
else { \
- unsigned long _b = MPW_BITS * (_vl - _v - 1) + 1; \
+ unsigned long _b = MPW_BITS * (_vl - _v - 1) + 1; \
mpw _w = _vl[-1]; \
- unsigned _k = MPW_BITS / 2; \
+ unsigned _k = MPW_P2; \
while (_k) { \
if (_w >> _k) { \
_w >>= _k; \
memset(_v, 0, MPWS(_vl - _v)); \
} while (0)
+/* --- @MPX_ONE@ --- *
+ *
+ * Arguments: @v, vl@ = base and limit of vector to clear
+ *
+ * Use: Fills the area between the two vector pointers with ones.
+ */
+
+#define MPX_ONE(v, vl) do { \
+ mpw * _v = (v); \
+ const mpw *_vl = (vl); \
+ while (_v < _vl) \
+ *_v++ = MPW_MAX; \
+} while (0)
+
/*----- Loading and storing -----------------------------------------------*/
/* --- @mpx_storel@ --- *
const mpw */*av*/, const mpw */*avl*/,
size_t /*n*/);
+/* --- @mpx_lslc@ --- *
+ *
+ * Arguments: @mpw *dv, *dvl@ = destination vector base and limit
+ * @const mpw *av, *avl@ = source vector base and limit
+ * @size_t n@ = number of bit positions to shift by
+ *
+ * Returns: ---
+ *
+ * Use: Performs a logical shift left operation on an integer, only
+ * it fills in the bits with ones instead of zeroes.
+ */
+
+extern void mpx_lslc(mpw */*dv*/, mpw */*dvl*/,
+ const mpw */*av*/, const mpw */*avl*/,
+ size_t /*n*/);
+
/* --- @mpx_lsr@ --- *
*
* Arguments: @mpw *dv, *dvl@ = destination vector base and limit
/*----- Bitwise operations ------------------------------------------------*/
-/* --- How to implement them --- *
- *
- * x: 0011
- * y: 0101
- */
-
-#define MPX_B0000(x, y) (0u)
-#define MPX_B0001(x, y) ((x) & (y))
-#define MPX_B0010(x, y) ((x) & ~(y))
-#define MPX_B0011(x, y) (x)
-#define MPX_B0100(x, y) (~(x) & ~(y))
-#define MPX_B0101(x, y) (y)
-#define MPX_B0110(x, y) ((x) ^ (y))
-#define MPX_B0111(x, y) ((x) | (y))
-#define MPX_B1000(x, y) (~((x) | (y)))
-#define MPX_B1001(x, y) (~((x) ^ (y)))
-#define MPX_B1010(x, y) (~(y))
-#define MPX_B1011(x, y) ((x) | ~(y))
-#define MPX_B1100(x, y) (~(x))
-#define MPX_B1101(x, y) (~(x) | (y))
-#define MPX_B1110(x, y) (~((x) & (y)))
-#define MPX_B1111(x, y) (~0u)
-
/* --- @mpx_bitop@ --- *
*
* Arguments: @mpw *dv, *dvl@ = destination vector
* Synonyms for the commonly-used functions above.
*/
-#define mpx_and mpx_bit0001
-#define mpx_or mpx_bit0111
+#define mpx_and mpx_bit0001
+#define mpx_or mpx_bit0111
#define mpx_nand mpx_bit1110
-#define mpx_nor mpx_bit1000
-#define mpx_xor mpx_bit0110
+#define mpx_nor mpx_bit1000
+#define mpx_xor mpx_bit0110
/* --- @mpx_not@ --- *
*
extern void mpx_uaddn(mpw */*dv*/, mpw */*dvl*/, mpw /*n*/);
+/* --- @mpx_uaddnlsl@ --- *
+ *
+ * Arguments: @mpw *dv, *dvl@ = destination and first argument vector
+ * @mpw a@ = second argument
+ * @unsigned o@ = offset in bits
+ *
+ * Returns: ---
+ *
+ * Use: Computes %$d + 2^o a$%. If the result overflows then
+ * high-order bits are discarded, as usual. We must have
+ * @0 < o < MPW_BITS@.
+ */
+
+extern void mpx_uaddnlsl(mpw */*dv*/, mpw */*dvl*/,
+ mpw /*a*/, unsigned /*o*/);
+
/* --- @mpx_usub@ --- *
*
* Arguments: @mpw *dv, *dvl@ = destination vector base and limit
extern void mpx_usubn(mpw */*dv*/, mpw */*dvl*/, mpw /*n*/);
+/* --- @mpx_usubnlsl@ --- *
+ *
+ * Arguments: @mpw *dv, *dvl@ = destination and first argument vector
+ * @mpw a@ = second argument
+ * @unsigned o@ = offset in bits
+ *
+ * Returns: ---
+ *
+ * Use: Computes %$d - 2^o a$%. If the result overflows then
+ * high-order bits are discarded, as usual, so you get two's
+ * complement. Which might be what you wanted... We must have
+ * @0 < o < MPW_BITS@.
+ */
+
+extern void mpx_usubnlsl(mpw */*dv*/, mpw */*dvl*/,
+ mpw /*a*/, unsigned /*o*/);
+
/* --- @mpx_umul@ --- *
*
* Arguments: @mpw *dv, *dvl@ = destination vector base and limit
* Arguments: @mpw *qv, *qvl@ = quotient vector base and limit
* @mpw *rv, *rvl@ = dividend/remainder vector base and limit
* @const mpw *dv, *dvl@ = divisor vector base and limit
- * @mpw *sv, *svl@ = scratch workspace
+ * @mpw *sv, *svl@ = scratch workspace
*
* Returns: ---
*
projects / u / mdw / catacomb / blobdiff