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103 lines
2.9 KiB
C
103 lines
2.9 KiB
C
/* mpq_div -- divide two rational numbers.
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Copyright 1991, 1994, 1995, 1996, 2000, 2001 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
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#include "gmp.h"
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#include "gmp-impl.h"
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void
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mpq_div (mpq_ptr quot, mpq_srcptr op1, mpq_srcptr op2)
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{
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mpz_t gcd1, gcd2;
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mpz_t tmp1, tmp2;
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mpz_t numtmp;
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mp_size_t op1_num_size;
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mp_size_t op1_den_size;
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mp_size_t op2_num_size;
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mp_size_t op2_den_size;
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mp_size_t alloc;
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TMP_DECL;
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op1_num_size = ABS (op1->_mp_num._mp_size);
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op1_den_size = op1->_mp_den._mp_size;
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op2_num_size = ABS (op2->_mp_num._mp_size);
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op2_den_size = op2->_mp_den._mp_size;
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if (op2_num_size == 0)
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DIVIDE_BY_ZERO;
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if (op1_num_size == 0)
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{
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/* We special case this to simplify allocation logic; gcd(0,x) = x
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is a singular case for the allocations. */
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quot->_mp_num._mp_size = 0;
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quot->_mp_den._mp_d[0] = 1;
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quot->_mp_den._mp_size = 1;
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return;
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}
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TMP_MARK;
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alloc = MIN (op1_num_size, op2_num_size);
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MPZ_TMP_INIT (gcd1, alloc);
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alloc = MIN (op1_den_size, op2_den_size);
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MPZ_TMP_INIT (gcd2, alloc);
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alloc = MAX (op1_num_size, op2_num_size);
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MPZ_TMP_INIT (tmp1, alloc);
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alloc = MAX (op1_den_size, op2_den_size);
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MPZ_TMP_INIT (tmp2, alloc);
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alloc = op1_num_size + op2_den_size;
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MPZ_TMP_INIT (numtmp, alloc);
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/* QUOT might be identical to either operand, so don't store the result there
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until we are finished with the input operands. We can overwrite the
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numerator of QUOT when we are finished with the numerators of OP1 and
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OP2. */
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mpz_gcd (gcd1, &(op1->_mp_num), &(op2->_mp_num));
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mpz_gcd (gcd2, &(op2->_mp_den), &(op1->_mp_den));
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mpz_divexact_gcd (tmp1, &(op1->_mp_num), gcd1);
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mpz_divexact_gcd (tmp2, &(op2->_mp_den), gcd2);
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mpz_mul (numtmp, tmp1, tmp2);
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mpz_divexact_gcd (tmp1, &(op2->_mp_num), gcd1);
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mpz_divexact_gcd (tmp2, &(op1->_mp_den), gcd2);
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mpz_mul (&(quot->_mp_den), tmp1, tmp2);
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/* We needed to go via NUMTMP to take care of QUOT being the same as OP2.
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Now move NUMTMP to QUOT->_mp_num. */
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mpz_set (&(quot->_mp_num), numtmp);
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/* Keep the denominator positive. */
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if (quot->_mp_den._mp_size < 0)
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{
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quot->_mp_den._mp_size = -quot->_mp_den._mp_size;
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quot->_mp_num._mp_size = -quot->_mp_num._mp_size;
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}
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TMP_FREE;
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}
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