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[xemacs-hg @ 2004-04-05 22:49:31 by james] Add bignum, ratio, and bigfloat support.
author james
date Mon, 05 Apr 2004 22:50:11 +0000
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children 04bc9d2f42c7
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1982:a748951fd4fb 1983:9c872f33ecbe
1 /* Definitions of numeric types for XEmacs using the GNU MP library.
2 Copyright (C) 2004 Jerry James.
3
4 This file is part of XEmacs.
5
6 XEmacs is free software; you can redistribute it and/or modify it
7 under the terms of the GNU General Public License as published by the
8 Free Software Foundation; either version 2, or (at your option) any
9 later version.
10
11 XEmacs is distributed in the hope that it will be useful, but WITHOUT
12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
14 for more details.
15
16 You should have received a copy of the GNU General Public License
17 along with XEmacs; see the file COPYING. If not, write to
18 the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
19 Boston, MA 02111-1307, USA. */
20
21 /* Synched up with: Not in FSF. */
22
23 /* This library defines the following types:
24 bignum = mpz_t
25 ratio = mpq_t
26 bigfloat = mpf_t
27 */
28
29 #ifndef INCLUDED_number_gmp_h_
30 #define INCLUDED_number_gmp_h_
31
32 #include <gmp.h>
33
34 typedef mpz_t bignum;
35 typedef mpq_t ratio;
36 typedef mpf_t bigfloat;
37
38 extern void init_number_gmp(void);
39
40
41 /********************************* Bignums **********************************/
42
43 #define HAVE_BIGNUM 1
44
45 extern gmp_randstate_t random_state;
46
47 /***** Bignum: basic functions *****/
48 #define bignum_init(b) mpz_init (b)
49 #define bignum_fini(b) mpz_clear (b)
50 #define bignum_hashcode(b) mpz_get_ui (b)
51 #define bignum_sign(b) mpz_sgn (b)
52 #define bignum_evenp(b) mpz_even_p (b)
53 #define bignum_oddp(b) mpz_odd_p (b)
54
55 /***** Bignum: size *****/
56 #define bignum_fits_int_p(b) mpz_fits_sint_p (b)
57 #define bignum_fits_uint_p(b) mpz_fits_uint_p (b)
58 #define bignum_fits_long_p(b) mpz_fits_slong_p (b)
59 #define bignum_fits_ulong_p(b) mpz_fits_ulong_p (b)
60
61 /***** Bignum: conversions *****/
62 #define bignum_to_string(b,base) mpz_get_str (NULL, base, b)
63 #define bignum_to_int(b) ((int) mpz_get_si (b))
64 #define bignum_to_uint(b) ((unsigned int) mpz_get_ui (b))
65 #define bignum_to_long(b) mpz_get_si (b)
66 #define bignum_to_ulong(b) mpz_get_ui (b)
67 #define bignum_to_double(b) mpz_get_d (b)
68
69 /***** Bignum: converting assignments *****/
70 #define bignum_set(b1,b2) mpz_set (b1, b2)
71 #define bignum_set_string(b,s,base) mpz_set_str (b, s, base)
72 #define bignum_set_long(b,l) mpz_set_si (b, l)
73 #define bignum_set_ulong(b,l) mpz_set_ui (b, l)
74 #define bignum_set_double(b,f) mpz_set_d (b, f)
75 #define bignum_set_ratio(b,r) mpz_set_q (b, r)
76 #define bignum_set_bigfloat(b,f) mpz_set_f (b, f)
77
78 /***** Bignum: comparisons *****/
79 #define bignum_cmp(b1,b2) mpz_cmp (b1, b2)
80 #define bignum_lt(b1,b2) (mpz_cmp (b1, b2) < 0)
81 #define bignum_le(b1,b2) (mpz_cmp (b1, b2) <= 0)
82 #define bignum_eql(b1,b2) (mpz_cmp (b1, b2) == 0)
83 #define bignum_ge(b1,b2) (mpz_cmp (b1, b2) >= 0)
84 #define bignum_gt(b1,b2) (mpz_cmp (b1, b2) > 0)
85
86 /***** Bignum: arithmetic *****/
87 #define bignum_neg(b,b2) mpz_neg (b, b2)
88 #define bignum_abs(b,b2) mpz_abs (b, b2)
89 #define bignum_add(b,b1,b2) mpz_add (b, b1, b2)
90 #define bignum_sub(b,b1,b2) mpz_sub (b, b1, b2)
91 #define bignum_mul(b,b1,b2) mpz_mul (b, b1, b2)
92 #define bignum_divisible_p(b1,b2) mpz_divisible_p (b1, b2)
93 #define bignum_div(b,b1,b2) mpz_tdiv_q (b, b1, b2)
94 #define bignum_ceil(b,b1,b2) mpz_cdiv_q (b, b1, b2)
95 #define bignum_floor(b,b1,b2) mpz_fdiv_q (b, b1, b2)
96 #define bignum_mod(b,b1,b2) mpz_mod (b, b1, b2)
97 #define bignum_pow(res,b,pow) mpz_pow_ui (res, b, pow)
98 #define bignum_gcd(res,b1,b2) mpz_gcd (res, b1, b2)
99 #define bignum_lcm(res,b1,b2) mpz_lcm (res, b1, b2)
100
101 /***** Bignum: bit manipulations *****/
102 #define bignum_and(res,b1,b2) mpz_and (res, b1, b2)
103 #define bignum_ior(res,b1,b2) mpz_ior (res, b1, b2)
104 #define bignum_xor(res,b1,b2) mpz_xor (res, b1, b2)
105 #define bignum_not(res,b) mpz_com (res, b)
106 #define bignum_setbit(b,bit) mpz_setbit (b, bit)
107 #define bignum_clrbit(b,bit) mpz_clrbit (b, bit)
108 #define bignum_testbit(b,bit) mpz_tstbit (b, bit)
109 #define bignum_lshift(res,b,bits) mpz_mul_2exp (res, b, bits)
110 #define bignum_rshift(res,b,bits) mpz_fdiv_q_2exp (res, b, bits)
111
112 /***** Bignum: random numbers *****/
113 #define bignum_random_seed(seed) gmp_randseed_ui (random_state, seed)
114 #define bignum_random(res,limit) mpz_urandomm (res, random_state, limit)
115
116
117 /********************************** Ratios **********************************/
118
119 #define HAVE_RATIO 1
120
121 /***** Ratio: basic functions *****/
122 #define ratio_init(r) mpq_init (r)
123 #define ratio_fini(r) mpq_clear (r)
124 #define ratio_hashcode(r) \
125 (mpz_get_ui (mpq_denref (r)) * mpz_get_ui (mpq_numref (r)))
126 #define ratio_sign(r) mpq_sgn (r)
127 #define ratio_numerator(r) mpq_numref (r)
128 #define ratio_denominator(r) mpq_denref (r)
129 #define ratio_canonicalize(r) mpq_canonicalize (r)
130
131 /***** Ratio: conversions *****/
132 #define ratio_to_string(r,base) mpq_get_str (NULL, base, r)
133 #define ratio_to_int(r) ((int) (mpq_get_d (r)))
134 #define ratio_to_uint(r) ((unsigned int) (mpq_get_d (r)))
135 #define ratio_to_long(r) ((long) (mpq_get_d (r)))
136 #define ratio_to_ulong(r) ((unsigned long) (mpq_get_d (r)))
137 #define ratio_to_double(r) mpq_get_d (r)
138
139 /***** Ratio: converting assignments *****/
140 #define ratio_set(r1,r2) mpq_set (r1, r2)
141 #define ratio_set_string(r,s,base) mpq_set_str (r, s, base)
142 #define ratio_set_long(r,l) mpq_set_si (r, l, 1UL)
143 #define ratio_set_ulong(r,l) mpq_set_ui (r, l, 1UL)
144 #define ratio_set_double(r,f) mpq_set_d (r, f)
145 #define ratio_set_bignum(r,b) mpq_set_z (r, b)
146 #define ratio_set_bigfloat(r,f) mpq_set_f (r, f)
147 #define ratio_set_long_ulong(r,num,den) mpq_set_si (r, num, den)
148 #define ratio_set_ulong_ulong(r,num,den) mpq_set_ui (r, num, den)
149 #define ratio_set_bignum_bignum(r,num,den) do { \
150 mpz_set (mpq_numref (r), num); \
151 mpz_set (mpq_denref (r), den); \
152 mpq_canonicalize (r); \
153 } while (0)
154
155 /***** Ratio: comparisons *****/
156 #define ratio_cmp(r1,r2) mpq_cmp (r1, r2)
157 #define ratio_lt(r1,r2) (mpq_cmp (r1, r2) < 0)
158 #define ratio_le(r1,r2) (mpq_cmp (r1, r2) <= 0)
159 #define ratio_eql(r1,r2) mpq_equal (r1, r2)
160 #define ratio_ge(r1,r2) (mpq_cmp (r1, r2) >= 0)
161 #define ratio_gt(r1,r2) (mpq_cmp (r1, r2) > 0)
162
163 /***** Ratio: arithmetic *****/
164 #define ratio_neg(q,q2) mpq_neg (q, q2)
165 #define ratio_abs(q,q2) mpq_abs (q, q2)
166 #define ratio_inv(q,q2) mpq_inv (q, q2)
167 #define ratio_add(res,q1,q2) mpq_add (res, q1, q2)
168 #define ratio_sub(res,q1,q2) mpq_sub (res, q1, q2)
169 #define ratio_mul(res,q1,q2) mpq_mul (res, q1, q2)
170 #define ratio_div(res,q1,q2) mpq_div (res, q1, q2)
171
172
173 /******************************** Bigfloats *********************************/
174
175 #define HAVE_BIGFLOAT 1
176
177 /***** Bigfloat: basic functions *****/
178 #define bigfloat_init(f) mpf_init (f)
179 #define bigfloat_init_prec(f,prec) mpf_init2 (f, prec)
180 #define bigfloat_fini(f) mpf_clear (f)
181 #define bigfloat_hashcode(f) mpf_get_ui (f)
182 #define bigfloat_sign(f) mpf_sgn (f)
183 #define bigfloat_get_prec(f) mpf_get_prec (f)
184 #define bigfloat_set_prec(f, prec) mpf_set_prec (f, prec)
185 #define bigfloat_set_default_prec(prec) mpf_set_default_prec(prec)
186 #define bigfloat_get_default_prec() mpf_get_default_prec ()
187
188 /***** Bigfloat: conversions *****/
189 extern CIbyte *bigfloat_to_string (bigfloat f, int base);
190 #define bigfloat_to_int(f) ((int) mpf_get_si (f))
191 #define bigfloat_to_uint(f) ((unsigned int) mpf_get_ui (f))
192 #define bigfloat_to_long(f) mpf_get_si (f)
193 #define bigfloat_to_ulong(f) mpf_get_ui (f)
194 #define bigfloat_to_double(f) mpf_get_d (f)
195
196 /***** Bigfloat: converting assignments *****/
197 #define bigfloat_set(f1,f2) mpf_set (f1, f2)
198 #define bigfloat_set_string(f,str,base) mpf_set_str (f, str, base)
199 #define bigfloat_set_long(f,l) mpf_set_si (f, l)
200 #define bigfloat_set_ulong(f,l) mpf_set_ui (f, l)
201 #define bigfloat_set_double(d,f) mpf_set_d (d, f)
202 #define bigfloat_set_bignum(f,b) mpf_set_z (f, b)
203 #define bigfloat_set_ratio(f,r) mpf_set_q (f, r)
204
205 /***** Bigfloat: comparisons *****/
206 #define bigfloat_cmp(f1,f2) mpf_cmp (f1, f2)
207 #define bigfloat_lt(f1,f2) (mpf_cmp (f1, f2) < 0)
208 #define bigfloat_le(f1,f2) (mpf_cmp (f1, f2) <= 0)
209 #define bigfloat_eql(f1,f2) (mpf_cmp (f1, f2) == 0)
210 #define bigfloat_eql_bits(f1,f2,bits) mpf_eq (f1, f2, bits)
211 #define bigfloat_ge(f1,f2) (mpf_cmp (f1, f2) >= 0)
212 #define bigfloat_gt(f1,f2) (mpf_cmp (f1, f2) > 0)
213
214 /***** Bigfloat: arithmetic *****/
215 #define bigfloat_neg(f,f2) mpf_neg (f, f2)
216 #define bigfloat_abs(f,f2) mpf_abs (f, f2)
217 #define bigfloat_add(res,f1,f2) mpf_add (res, f1, f2)
218 #define bigfloat_sub(res,f1,f2) mpf_sub (res, f1, f2)
219 #define bigfloat_mul(res,f1,f2) mpf_mul (res, f1, f2)
220 #define bigfloat_div(res,f1,f2) mpf_div (res, f1, f2)
221 #define bigfloat_ceil(res,f) mpf_ceil (res, f)
222 #define bigfloat_floor(res,f) mpf_floor (res, f)
223 #define bigfloat_trunc(res,f) mpf_trunc (res, f)
224 #define bigfloat_sqrt(res,f) mpf_sqrt (res, f)
225 #define bigfloat_pow(res,f,exp) mpf_pow_ui (res, f, exp)
226
227 #endif /* INCLUDED_number_gmp_h_ */