3d256d3f4a
git-svn-id: svn://svn.h5l.se/heimdal/trunk/heimdal@17471 ec53bebd-3082-4978-b11e-865c3cabbd6b
118 lines
5.1 KiB
C
Executable File
118 lines
5.1 KiB
C
Executable File
/*
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Name: imrat.h
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Purpose: Arbitrary precision rational arithmetic routines.
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Author: M. J. Fromberger <http://www.dartmouth.edu/~sting/>
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Info: $Id$
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Copyright (C) 2002 Michael J. Fromberger, All Rights Reserved.
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Permission is hereby granted, free of charge, to any person
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obtaining a copy of this software and associated documentation files
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(the "Software"), to deal in the Software without restriction,
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including without limitation the rights to use, copy, modify, merge,
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publish, distribute, sublicense, and/or sell copies of the Software,
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and to permit persons to whom the Software is furnished to do so,
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subject to the following conditions:
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The above copyright notice and this permission notice shall be
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included in all copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
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BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
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ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
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CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.
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*/
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#ifndef IMRAT_H_
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#define IMRAT_H_
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#include "imath.h"
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typedef struct mpq {
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mpz_t num; /* Numerator */
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mpz_t den; /* Denominator, <> 0 */
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} mpq_t, *mp_rat;
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#define MP_NUMER_P(Q) (&((Q)->num)) /* Pointer to numerator */
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#define MP_DENOM_P(Q) (&((Q)->den)) /* Pointer to denominator */
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/* Rounding constants */
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extern const mp_result MP_ROUND_DOWN;
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extern const mp_result MP_ROUND_HALF_UP;
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extern const mp_result MP_ROUND_UP;
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extern const mp_result MP_ROUND_HALF_DOWN;
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void mp_rat_set_rounding(mp_result rnd);
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mp_result mp_rat_get_rounding(void);
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mp_result mp_rat_init(mp_rat r);
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mp_rat mp_rat_alloc(void);
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mp_result mp_rat_init_size(mp_rat r, mp_size n_prec, mp_size d_prec);
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mp_result mp_rat_init_copy(mp_rat r, mp_rat old);
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mp_result mp_rat_set_value(mp_rat r, int numer, int denom);
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void mp_rat_clear(mp_rat r);
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void mp_rat_free(mp_rat r);
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mp_result mp_rat_numer(mp_rat r, mp_int z); /* z = num(r) */
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mp_result mp_rat_denom(mp_rat r, mp_int z); /* z = den(r) */
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mp_sign mp_rat_sign(mp_rat r);
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mp_result mp_rat_copy(mp_rat a, mp_rat c); /* c = a */
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void mp_rat_zero(mp_rat r); /* r = 0 */
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mp_result mp_rat_abs(mp_rat a, mp_rat c); /* c = |a| */
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mp_result mp_rat_neg(mp_rat a, mp_rat c); /* c = -a */
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mp_result mp_rat_recip(mp_rat a, mp_rat c); /* c = 1 / a */
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mp_result mp_rat_add(mp_rat a, mp_rat b, mp_rat c); /* c = a + b */
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mp_result mp_rat_sub(mp_rat a, mp_rat b, mp_rat c); /* c = a - b */
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mp_result mp_rat_mul(mp_rat a, mp_rat b, mp_rat c); /* c = a * b */
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mp_result mp_rat_div(mp_rat a, mp_rat b, mp_rat c); /* c = a / b */
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mp_result mp_rat_add_int(mp_rat a, mp_int b, mp_rat c); /* c = a + b */
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mp_result mp_rat_sub_int(mp_rat a, mp_int b, mp_rat c); /* c = a - b */
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mp_result mp_rat_mul_int(mp_rat a, mp_int b, mp_rat c); /* c = a * b */
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mp_result mp_rat_div_int(mp_rat a, mp_int b, mp_rat c); /* c = a / b */
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mp_result mp_rat_expt(mp_rat a, int b, mp_rat c); /* c = a ^ b */
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int mp_rat_compare(mp_rat a, mp_rat b); /* a <=> b */
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int mp_rat_compare_unsigned(mp_rat a, mp_rat b); /* |a| <=> |b| */
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int mp_rat_compare_zero(mp_rat r); /* r <=> 0 */
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int mp_rat_compare_value(mp_rat r, int n, int d); /* r <=> n/d */
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int mp_rat_is_integer(mp_rat r);
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/* Convert to integers, if representable (returns MP_RANGE if not). */
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mp_result mp_rat_to_ints(mp_rat r, int *num, int *den);
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/* Convert to nul-terminated string with the specified radix, writing
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at most limit characters including the nul terminator. */
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mp_result mp_rat_to_string(mp_rat r, mp_size radix, char *str, int limit);
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/* Convert to decimal format in the specified radix and precision,
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writing at most limit characters including a nul terminator. */
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mp_result mp_rat_to_decimal(mp_rat r, mp_size radix, mp_size prec,
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char *str, int limit);
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/* Return the number of characters required to represent r in the given
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radix. May over-estimate. */
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mp_result mp_rat_string_len(mp_rat r, mp_size radix);
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/* Return the number of characters required to represent r in decimal
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format with the given radix and precision. May over-estimate. */
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mp_result mp_rat_decimal_len(mp_rat r, mp_size radix, mp_size prec);
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/* Read zero-terminated string into r */
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mp_result mp_rat_read_string(mp_rat r, mp_size radix, const char *str);
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mp_result mp_rat_read_cstring(mp_rat r, mp_size radix, const char *str,
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char **end);
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mp_result mp_rat_read_ustring(mp_rat r, mp_size radix, const char *str,
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char **end);
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/* Read zero-terminated string in decimal format into r */
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mp_result mp_rat_read_decimal(mp_rat r, mp_size radix, const char *str);
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mp_result mp_rat_read_cdecimal(mp_rat r, mp_size radix, const char *str,
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char **end);
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#endif /* IMRAT_H_ */
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