bae181e0c8000070440d348a75088cb32d786bae
6 /* Copyright (C) 1995,1996,1998,2000,2001 Free Software Foundation, Inc.
8 * This library is free software; you can redistribute it and/or
9 * modify it under the terms of the GNU Lesser General Public
10 * License as published by the Free Software Foundation; either
11 * version 2.1 of the License, or (at your option) any later version.
13 * This library is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
16 * Lesser General Public License for more details.
18 * You should have received a copy of the GNU Lesser General Public
19 * License along with this library; if not, write to the Free Software
20 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
25 #include "libguile/__scm.h"
26 #include "libguile/print.h"
28 #if SCM_HAVE_FLOATINGPOINT_H
29 # include <floatingpoint.h>
44 #endif /* SCM_HAVE_NAN_H */
48 /* Immediate Numbers, also known as fixnums
50 * Inums are exact integer data that fits within an SCM word. */
52 /* SCM_T_SIGNED_MAX is (- (expt 2 n) 1),
53 * SCM_MOST_POSITIVE_FIXNUM should be (- (expt 2 (- n 2)) 1)
54 * which is the same as (/ (- (expt 2 n) 4) 4)
57 #define SCM_I_FIXNUM_BIT (SCM_LONG_BIT - 2)
58 #define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
59 #define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
61 /* SCM_SRS is signed right shift */
62 #if (-1 == (((-1) << 2) + 2) >> 2)
63 # define SCM_SRS(x, y) ((x) >> (y))
65 # define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
66 #endif /* (-1 == (((-1) << 2) + 2) >> 2) */
69 #define SCM_INUMP(x) (2 & SCM_UNPACK (x))
70 #define SCM_NINUMP(x) (!SCM_INUMP (x))
71 #define SCM_MAKINUM(x) (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + 2))
72 #define SCM_INUM(x) (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
75 /* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
76 #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
77 #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
78 #define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
82 #define SCM_INUM0 (SCM_MAKINUM (0))
85 /* SCM_MAXEXP is the maximum double precision exponent
86 * SCM_FLTMAX is less than or scm_equal the largest single precision float
89 #if SCM_HAVE_STDC_HEADERS
92 # endif /* ndef GO32 */
93 #endif /* def STDC_HEADERS */
96 # define SCM_MAXEXP DBL_MAX_10_EXP
98 # define SCM_MAXEXP 308 /* IEEE doubles */
99 #endif /* def DBL_MAX_10_EXP */
102 # define SCM_FLTMAX FLT_MAX
104 # define SCM_FLTMAX 1e+23
105 #endif /* def FLT_MAX */
108 /* SCM_INTBUFLEN is the maximum number of characters neccessary for the
109 * printed or scm_string representation of an exact immediate.
111 #define SCM_INTBUFLEN (5 + SCM_LONG_BIT)
118 #define SCM_SLOPPY_INEXACTP(x) (SCM_TYP16S (x) == scm_tc16_real)
119 #define SCM_SLOPPY_REALP(x) (SCM_TYP16 (x) == scm_tc16_real)
120 #define SCM_SLOPPY_COMPLEXP(x) (SCM_TYP16 (x) == scm_tc16_complex)
121 #define SCM_INEXACTP(x) (!SCM_IMP (x) && SCM_TYP16S (x) == scm_tc16_real)
122 #define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
123 #define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
125 #define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
126 #define SCM_COMPLEX_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
127 #define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
128 #define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)
130 /* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
131 #define SCM_I_BIG_MPZ(x) (*((mpz_t *) (&(SCM_CELL_WORD_1(x)))))
132 #define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
134 #define SCM_NUMBERP(x) (SCM_INUMP(x) || SCM_NUMP(x))
135 #define SCM_NUMP(x) (!SCM_IMP(x) \
136 && (0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_smob)
140 typedef struct scm_t_double
147 typedef struct scm_t_complex
155 SCM_API SCM
scm_exact_p (SCM x
);
156 SCM_API SCM
scm_odd_p (SCM n
);
157 SCM_API SCM
scm_even_p (SCM n
);
158 SCM_API SCM
scm_inf_p (SCM n
);
159 SCM_API SCM
scm_nan_p (SCM n
);
160 SCM_API SCM
scm_inf (void);
161 SCM_API SCM
scm_nan (void);
162 SCM_API SCM
scm_abs (SCM x
);
163 SCM_API SCM
scm_quotient (SCM x
, SCM y
);
164 SCM_API SCM
scm_remainder (SCM x
, SCM y
);
165 SCM_API SCM
scm_modulo (SCM x
, SCM y
);
166 SCM_API SCM
scm_gcd (SCM x
, SCM y
);
167 SCM_API SCM
scm_lcm (SCM n1
, SCM n2
);
168 SCM_API SCM
scm_logand (SCM n1
, SCM n2
);
169 SCM_API SCM
scm_logior (SCM n1
, SCM n2
);
170 SCM_API SCM
scm_logxor (SCM n1
, SCM n2
);
171 SCM_API SCM
scm_logtest (SCM n1
, SCM n2
);
172 SCM_API SCM
scm_logbit_p (SCM n1
, SCM n2
);
173 SCM_API SCM
scm_lognot (SCM n
);
174 SCM_API SCM
scm_integer_expt (SCM z1
, SCM z2
);
175 SCM_API SCM
scm_ash (SCM n
, SCM cnt
);
176 SCM_API SCM
scm_bit_extract (SCM n
, SCM start
, SCM end
);
177 SCM_API SCM
scm_logcount (SCM n
);
178 SCM_API SCM
scm_integer_length (SCM n
);
180 SCM_API
size_t scm_iint2str (long num
, int rad
, char *p
);
181 SCM_API SCM
scm_number_to_string (SCM x
, SCM radix
);
182 SCM_API
int scm_print_real (SCM sexp
, SCM port
, scm_print_state
*pstate
);
183 SCM_API
int scm_print_complex (SCM sexp
, SCM port
, scm_print_state
*pstate
);
184 SCM_API
int scm_bigprint (SCM exp
, SCM port
, scm_print_state
*pstate
);
185 SCM_API SCM
scm_i_mem2number (const char *mem
, size_t len
, unsigned int radix
);
186 SCM_API SCM
scm_string_to_number (SCM str
, SCM radix
);
187 SCM_API SCM
scm_make_real (double x
);
188 SCM_API SCM
scm_make_complex (double x
, double y
);
189 SCM_API SCM
scm_bigequal (SCM x
, SCM y
);
190 SCM_API SCM
scm_real_equalp (SCM x
, SCM y
);
191 SCM_API SCM
scm_complex_equalp (SCM x
, SCM y
);
192 SCM_API SCM
scm_number_p (SCM x
);
193 SCM_API SCM
scm_real_p (SCM x
);
194 SCM_API SCM
scm_integer_p (SCM x
);
195 SCM_API SCM
scm_inexact_p (SCM x
);
196 SCM_API SCM
scm_num_eq_p (SCM x
, SCM y
);
197 SCM_API SCM
scm_less_p (SCM x
, SCM y
);
198 SCM_API SCM
scm_gr_p (SCM x
, SCM y
);
199 SCM_API SCM
scm_leq_p (SCM x
, SCM y
);
200 SCM_API SCM
scm_geq_p (SCM x
, SCM y
);
201 SCM_API SCM
scm_zero_p (SCM z
);
202 SCM_API SCM
scm_positive_p (SCM x
);
203 SCM_API SCM
scm_negative_p (SCM x
);
204 SCM_API SCM
scm_max (SCM x
, SCM y
);
205 SCM_API SCM
scm_min (SCM x
, SCM y
);
206 SCM_API SCM
scm_sum (SCM x
, SCM y
);
207 SCM_API SCM
scm_difference (SCM x
, SCM y
);
208 SCM_API SCM
scm_product (SCM x
, SCM y
);
209 SCM_API
double scm_num2dbl (SCM a
, const char * why
);
210 SCM_API SCM
scm_divide (SCM x
, SCM y
);
211 SCM_API
double scm_asinh (double x
);
212 SCM_API
double scm_acosh (double x
);
213 SCM_API
double scm_atanh (double x
);
214 SCM_API
double scm_truncate (double x
);
215 SCM_API
double scm_round (double x
);
216 SCM_API SCM
scm_sys_expt (SCM z1
, SCM z2
);
217 SCM_API SCM
scm_sqrt (SCM x
);
218 SCM_API SCM
scm_sys_atan2 (SCM z1
, SCM z2
);
219 SCM_API SCM
scm_make_rectangular (SCM z1
, SCM z2
);
220 SCM_API SCM
scm_make_polar (SCM z1
, SCM z2
);
221 SCM_API SCM
scm_real_part (SCM z
);
222 SCM_API SCM
scm_imag_part (SCM z
);
223 SCM_API SCM
scm_magnitude (SCM z
);
224 SCM_API SCM
scm_angle (SCM z
);
225 SCM_API SCM
scm_exact_to_inexact (SCM z
);
226 SCM_API SCM
scm_inexact_to_exact (SCM z
);
227 SCM_API SCM
scm_trunc (SCM x
);
229 SCM_API SCM
scm_short2num (short n
);
230 SCM_API SCM
scm_ushort2num (unsigned short n
);
231 SCM_API SCM
scm_int2num (int n
);
232 SCM_API SCM
scm_uint2num (unsigned int n
);
233 SCM_API SCM
scm_long2num (long n
);
234 SCM_API SCM
scm_ulong2num (unsigned long n
);
235 SCM_API SCM
scm_size2num (size_t n
);
236 SCM_API SCM
scm_ptrdiff2num (scm_t_ptrdiff n
);
237 SCM_API
short scm_num2short (SCM num
, unsigned long int pos
,
238 const char *s_caller
);
239 SCM_API
unsigned short scm_num2ushort (SCM num
, unsigned long int pos
,
240 const char *s_caller
);
241 SCM_API
int scm_num2int (SCM num
, unsigned long int pos
,
242 const char *s_caller
);
243 SCM_API
unsigned int scm_num2uint (SCM num
, unsigned long int pos
,
244 const char *s_caller
);
245 SCM_API
long scm_num2long (SCM num
, unsigned long int pos
,
246 const char *s_caller
);
247 SCM_API
unsigned long scm_num2ulong (SCM num
, unsigned long int pos
,
248 const char *s_caller
);
249 SCM_API scm_t_ptrdiff
scm_num2ptrdiff (SCM num
, unsigned long int pos
,
250 const char *s_caller
);
251 SCM_API
size_t scm_num2size (SCM num
, unsigned long int pos
,
252 const char *s_caller
);
253 #if SCM_SIZEOF_LONG_LONG != 0
254 SCM_API SCM
scm_long_long2num (long long sl
);
255 SCM_API SCM
scm_ulong_long2num (unsigned long long sl
);
256 SCM_API
long long scm_num2long_long (SCM num
, unsigned long int pos
,
257 const char *s_caller
);
258 SCM_API
unsigned long long scm_num2ulong_long (SCM num
, unsigned long int pos
,
259 const char *s_caller
);
262 SCM_API SCM
scm_float2num (float n
);
263 SCM_API SCM
scm_double2num (double n
);
264 SCM_API
float scm_num2float (SCM num
, unsigned long int pos
,
265 const char *s_caller
);
266 SCM_API
double scm_num2double (SCM num
, unsigned long int pos
,
267 const char *s_caller
);
270 /* bignum internal functions */
271 SCM_API SCM
scm_i_mkbig (void);
272 SCM_API SCM
scm_i_normbig (SCM x
);
273 SCM_API
int scm_i_bigcmp (SCM a
, SCM b
);
274 SCM_API SCM
scm_i_dbl2big (double d
);
275 SCM_API
double scm_i_big2dbl (SCM b
);
276 SCM_API SCM
scm_i_short2big (short n
);
277 SCM_API SCM
scm_i_ushort2big (unsigned short n
);
278 SCM_API SCM
scm_i_int2big (int n
);
279 SCM_API SCM
scm_i_uint2big (unsigned int n
);
280 SCM_API SCM
scm_i_long2big (long n
);
281 SCM_API SCM
scm_i_ulong2big (unsigned long n
);
282 SCM_API SCM
scm_i_size2big (size_t n
);
283 SCM_API SCM
scm_i_ptrdiff2big (scm_t_ptrdiff n
);
285 #if SCM_SIZEOF_LONG_LONG != 0
286 SCM_API SCM
scm_i_long_long2big (long long n
);
287 SCM_API SCM
scm_i_ulong_long2big (unsigned long long n
);
293 SCM_API SCM
scm_sys_check_number_conversions (void);
296 SCM_API
void scm_init_numbers (void);
298 #endif /* SCM_NUMBERS_H */