1 /* mpq expression evaluation
2
3 Copyright 2000-2002 Free Software Foundation, Inc.
4
5 This file is part of the GNU MP Library.
6
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of either:
9
10 * the GNU Lesser General Public License as published by the Free
11 Software Foundation; either version 3 of the License, or (at your
12 option) any later version.
13
14 or
15
16 * the GNU General Public License as published by the Free Software
17 Foundation; either version 2 of the License, or (at your option) any
18 later version.
19
20 or both in parallel, as here.
21
22 The GNU MP Library is distributed in the hope that it will be useful, but
23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
25 for more details.
26
27 You should have received copies of the GNU General Public License and the
28 GNU Lesser General Public License along with the GNU MP Library. If not,
29 see https://www.gnu.org/licenses/. */
30
31 #include <stdio.h>
32 #include <string.h>
33 #include "gmp.h"
34 #include "expr-impl.h"
35
36
37 /* Change this to "#define TRACE(x) x" to get some traces. */
38 #define TRACE(x)
39
40
41 static void
42 e_mpq_pow_ui (mpq_ptr r, mpq_srcptr b, unsigned long e)
43 {
44 mpz_pow_ui (mpq_numref(r), mpq_numref(b), e);
45 mpz_pow_ui (mpq_denref(r), mpq_denref(b), e);
46 }
47
48 /* Wrapped because mpq_sgn is a macro. */
49 static int
50 e_mpq_sgn (mpq_srcptr x)
51 {
52 return mpq_sgn (x);
53 }
54
55 /* Wrapped because mpq_equal only guarantees a non-zero return, whereas we
56 want 1 or 0 for == and !=. */
57 static int
58 e_mpq_equal (mpq_srcptr x, mpq_srcptr y)
59 {
60 return mpq_equal (x, y) != 0;
61 }
62 static int
63 e_mpq_notequal (mpq_srcptr x, mpq_srcptr y)
64 {
65 return ! mpq_equal (x, y);
66 }
67
68 static void
69 e_mpq_num (mpq_ptr w, mpq_srcptr x)
70 {
71 if (w != x)
72 mpz_set (mpq_numref(w), mpq_numref(x));
73 mpz_set_ui (mpq_denref(w), 1L);
74 }
75 static void
76 e_mpq_den (mpq_ptr w, mpq_srcptr x)
77 {
78 if (w == x)
79 mpz_swap (mpq_numref(w), mpq_denref(w));
80 else
81 mpz_set (mpq_numref(w), mpq_denref(x));
82 mpz_set_ui (mpq_denref(w), 1L);
83 }
84
85
86 static const struct mpexpr_operator_t _mpq_expr_standard_table[] = {
87
88 { "**", (mpexpr_fun_t) e_mpq_pow_ui,
89 MPEXPR_TYPE_BINARY_UI | MPEXPR_TYPE_RIGHTASSOC, 220 },
90
91 { "!", (mpexpr_fun_t) e_mpq_sgn,
92 MPEXPR_TYPE_LOGICAL_NOT | MPEXPR_TYPE_PREFIX, 210 },
93 { "-", (mpexpr_fun_t) mpq_neg,
94 MPEXPR_TYPE_UNARY | MPEXPR_TYPE_PREFIX, 210 },
95
96 { "*", (mpexpr_fun_t) mpq_mul, MPEXPR_TYPE_BINARY, 200 },
97 { "/", (mpexpr_fun_t) mpq_div, MPEXPR_TYPE_BINARY, 200 },
98
99 { "+", (mpexpr_fun_t) mpq_add, MPEXPR_TYPE_BINARY, 190 },
100 { "-", (mpexpr_fun_t) mpq_sub, MPEXPR_TYPE_BINARY, 190 },
101
102 { "<<", (mpexpr_fun_t) mpq_mul_2exp, MPEXPR_TYPE_BINARY_UI, 180 },
103 { ">>", (mpexpr_fun_t) mpq_div_2exp, MPEXPR_TYPE_BINARY_UI, 180 },
104
105 { "<=", (mpexpr_fun_t) mpq_cmp, MPEXPR_TYPE_CMP_LE, 170 },
106 { "<", (mpexpr_fun_t) mpq_cmp, MPEXPR_TYPE_CMP_LT, 170 },
107 { ">=", (mpexpr_fun_t) mpq_cmp, MPEXPR_TYPE_CMP_GE, 170 },
108 { ">", (mpexpr_fun_t) mpq_cmp, MPEXPR_TYPE_CMP_GT, 170 },
109
110 { "==", (mpexpr_fun_t) e_mpq_equal, MPEXPR_TYPE_I_BINARY, 160 },
111 { "!=", (mpexpr_fun_t) e_mpq_notequal, MPEXPR_TYPE_I_BINARY, 160 },
112
113 { "&&", (mpexpr_fun_t) e_mpq_sgn, MPEXPR_TYPE_LOGICAL_AND, 120 },
114 { "||", (mpexpr_fun_t) e_mpq_sgn, MPEXPR_TYPE_LOGICAL_OR, 110 },
115
116 { ":", NULL, MPEXPR_TYPE_COLON, 101 },
117 { "?", (mpexpr_fun_t) e_mpq_sgn, MPEXPR_TYPE_QUESTION, 100 },
118
119 { ")", (mpexpr_fun_t) e_mpq_sgn, MPEXPR_TYPE_CLOSEPAREN, 4 },
120 { "(", (mpexpr_fun_t) e_mpq_sgn, MPEXPR_TYPE_OPENPAREN, 3 },
121 { ",", (mpexpr_fun_t) e_mpq_sgn, MPEXPR_TYPE_ARGSEP, 2 },
122 { "$", NULL, MPEXPR_TYPE_VARIABLE, 1 },
123
124 { "abs", (mpexpr_fun_t) mpq_abs, MPEXPR_TYPE_UNARY },
125 { "cmp", (mpexpr_fun_t) mpq_cmp, MPEXPR_TYPE_I_BINARY },
126 { "den", (mpexpr_fun_t) e_mpq_den, MPEXPR_TYPE_UNARY },
127 { "max", (mpexpr_fun_t) mpq_cmp, MPEXPR_TYPE_MAX | MPEXPR_TYPE_PAIRWISE },
128 { "min", (mpexpr_fun_t) mpq_cmp, MPEXPR_TYPE_MIN | MPEXPR_TYPE_PAIRWISE },
129 { "num", (mpexpr_fun_t) e_mpq_num, MPEXPR_TYPE_UNARY },
130 { "sgn", (mpexpr_fun_t) e_mpq_sgn, MPEXPR_TYPE_I_UNARY },
131
132 { NULL }
133 };
134
135 const struct mpexpr_operator_t * const mpq_expr_standard_table
136 = _mpq_expr_standard_table;
137
138
139 int
140 mpq_expr (mpq_ptr res, int base, const char *e, ...)
141 {
142 mpq_srcptr var[MPEXPR_VARIABLES];
143 va_list ap;
144 int ret;
145 va_start (ap, e);
146
147 TRACE (printf ("mpq_expr(): base %d, %s\n", base, e));
148 ret = mpexpr_va_to_var ((void **) var, ap);
149 va_end (ap);
150
151 if (ret != MPEXPR_RESULT_OK)
152 return ret;
153
154 return mpq_expr_a (mpq_expr_standard_table, res, base, e, strlen(e), var);
155 }