Return to aors.c CVS log

Up to [local] / OpenXM_contrib / gmp / mpq

Annotation of OpenXM_contrib/gmp/mpq/aors.c, Revision 1.1.1.1

1.1       ohara       1: /* mpq_add, mpq_sub -- add or subtract rational numbers.
                      2:
                      3: Copyright 1991, 1994, 1995, 1996, 1997, 2000, 2001 Free Software Foundation,
                      4: Inc.
                      5:
                      6: This file is part of the GNU MP Library.
                      7:
                      8: The GNU MP Library is free software; you can redistribute it and/or modify
                      9: it under the terms of the GNU Lesser General Public License as published by
                     10: the Free Software Foundation; either version 2.1 of the License, or (at your
                     11: option) any later version.
                     12:
                     13: The GNU MP Library is distributed in the hope that it will be useful, but
                     14: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
                     15: or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
                     16: License for more details.
                     17:
                     18: You should have received a copy of the GNU Lesser General Public License
                     19: along with the GNU MP Library; see the file COPYING.LIB.  If not, write to
                     20: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
                     21: MA 02111-1307, USA. */
                     22:
                     23: #include "gmp.h"
                     24: #include "gmp-impl.h"
                     25:
                     26:
                     27: static void __gmpq_aors _PROTO ((REGPARM_3_1 (mpq_ptr w, mpq_srcptr x, mpq_srcptr y, void (*fun) _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr))))) REGPARM_ATTR (1);
                     28: #define mpq_aors(w,x,y,fun)  __gmpq_aors (REGPARM_3_1 (w, x, y, fun))
                     29:
                     30: static void
                     31: mpq_aors (mpq_ptr rop, mpq_srcptr op1, mpq_srcptr op2,
                     32:           void (*fun) _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)))
                     33: {
                     34:   mpz_t gcd;
                     35:   mpz_t tmp1, tmp2;
                     36:   mp_size_t op1_num_size = ABS (op1->_mp_num._mp_size);
                     37:   mp_size_t op1_den_size =      op1->_mp_den._mp_size;
                     38:   mp_size_t op2_num_size = ABS (op2->_mp_num._mp_size);
                     39:   mp_size_t op2_den_size =      op2->_mp_den._mp_size;
                     40:   TMP_DECL (marker);
                     41:
                     42:   TMP_MARK (marker);
                     43:   MPZ_TMP_INIT (gcd, MIN (op1_den_size, op2_den_size));
                     44:   MPZ_TMP_INIT (tmp1, op1_num_size + op2_den_size);
                     45:   MPZ_TMP_INIT (tmp2, op2_num_size + op1_den_size);
                     46:
                     47:   /* ROP might be identical to either operand, so don't store the
                     48:      result there until we are finished with the input operands.  We
                     49:      dare to overwrite the numerator of ROP when we are finished
                     50:      with the numerators of OP1 and OP2.  */
                     51:
                     52:   mpz_gcd (gcd, &(op1->_mp_den), &(op2->_mp_den));
                     53:   if (! MPZ_EQUAL_1_P (gcd))
                     54:     {
                     55:       mpz_t t;
                     56:
                     57:       mpz_divexact_gcd (tmp1, &(op2->_mp_den), gcd);
                     58:       mpz_mul (tmp1, &(op1->_mp_num), tmp1);
                     59:
                     60:       mpz_divexact_gcd (tmp2, &(op1->_mp_den), gcd);
                     61:       mpz_mul (tmp2, &(op2->_mp_num), tmp2);
                     62:
                     63:       MPZ_TMP_INIT (t, MAX (ABS (tmp1->_mp_size), ABS (tmp2->_mp_size)) + 1);
                     64:
                     65:       (*fun) (t, tmp1, tmp2);
                     66:       mpz_divexact_gcd (tmp2, &(op1->_mp_den), gcd);
                     67:
                     68:       mpz_gcd (gcd, t, gcd);
                     69:       if (MPZ_EQUAL_1_P (gcd))
                     70:         {
                     71:           mpz_set (&(rop->_mp_num), t);
                     72:           mpz_mul (&(rop->_mp_den), &(op2->_mp_den), tmp2);
                     73:         }
                     74:       else
                     75:         {
                     76:           mpz_divexact_gcd (&(rop->_mp_num), t, gcd);
                     77:           mpz_divexact_gcd (tmp1, &(op2->_mp_den), gcd);
                     78:           mpz_mul (&(rop->_mp_den), tmp1, tmp2);
                     79:         }
                     80:     }
                     81:   else
                     82:     {
                     83:       /* The common divisor is 1.  This is the case (for random input) with
                     84:         probability 6/(pi**2), which is about 60.8%.  */
                     85:       mpz_mul (tmp1, &(op1->_mp_num), &(op2->_mp_den));
                     86:       mpz_mul (tmp2, &(op2->_mp_num), &(op1->_mp_den));
                     87:       (*fun) (&(rop->_mp_num), tmp1, tmp2);
                     88:       mpz_mul (&(rop->_mp_den), &(op1->_mp_den), &(op2->_mp_den));
                     89:     }
                     90:   TMP_FREE (marker);
                     91: }
                     92:
                     93:
                     94: void
                     95: mpq_add (mpq_ptr rop, mpq_srcptr op1, mpq_srcptr op2)
                     96: {
                     97:   mpq_aors (rop, op1, op2, mpz_add);
                     98: }
                     99:
                    100: void
                    101: mpq_sub (mpq_ptr rop, mpq_srcptr op1, mpq_srcptr op2)
                    102: {
                    103:   mpq_aors (rop, op1, op2, mpz_sub);
                    104: }