Commit | Line | Data |
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b4a204af | 1 | /* Copyright (C) 1995,1996,1997,1998, 1999 Free Software Foundation, Inc. |
f872b822 | 2 | |
0f2d19dd JB |
3 | * This program is free software; you can redistribute it and/or modify |
4 | * it under the terms of the GNU General Public License as published by | |
5 | * the Free Software Foundation; either version 2, or (at your option) | |
6 | * any later version. | |
7 | * | |
8 | * This program is distributed in the hope that it will be useful, | |
9 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
10 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
11 | * GNU General Public License for more details. | |
12 | * | |
13 | * You should have received a copy of the GNU General Public License | |
14 | * along with this software; see the file COPYING. If not, write to | |
82892bed JB |
15 | * the Free Software Foundation, Inc., 59 Temple Place, Suite 330, |
16 | * Boston, MA 02111-1307 USA | |
0f2d19dd JB |
17 | * |
18 | * As a special exception, the Free Software Foundation gives permission | |
19 | * for additional uses of the text contained in its release of GUILE. | |
20 | * | |
21 | * The exception is that, if you link the GUILE library with other files | |
22 | * to produce an executable, this does not by itself cause the | |
23 | * resulting executable to be covered by the GNU General Public License. | |
24 | * Your use of that executable is in no way restricted on account of | |
25 | * linking the GUILE library code into it. | |
26 | * | |
27 | * This exception does not however invalidate any other reasons why | |
28 | * the executable file might be covered by the GNU General Public License. | |
29 | * | |
30 | * This exception applies only to the code released by the | |
31 | * Free Software Foundation under the name GUILE. If you copy | |
32 | * code from other Free Software Foundation releases into a copy of | |
33 | * GUILE, as the General Public License permits, the exception does | |
34 | * not apply to the code that you add in this way. To avoid misleading | |
35 | * anyone as to the status of such modified files, you must delete | |
36 | * this exception notice from them. | |
37 | * | |
38 | * If you write modifications of your own for GUILE, it is your choice | |
39 | * whether to permit this exception to apply to your modifications. | |
82892bed | 40 | * If you do not wish that, delete this exception notice. */ |
1bbd0b84 GB |
41 | |
42 | /* Software engineering face-lift by Greg J. Badros, 11-Dec-1999, | |
43 | gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */ | |
44 | ||
0f2d19dd JB |
45 | \f |
46 | ||
47 | #include <stdio.h> | |
48 | #include <math.h> | |
49 | #include "_scm.h" | |
20e6290e JB |
50 | #include "genio.h" |
51 | #include "unif.h" | |
dd856e23 | 52 | #include "feature.h" |
23a62151 | 53 | #include "smob.h" |
0f2d19dd | 54 | |
b6791b2e | 55 | #include "validate.h" |
20e6290e | 56 | #include "numbers.h" |
0f2d19dd JB |
57 | \f |
58 | #define DIGITS '0':case '1':case '2':case '3':case '4':\ | |
59 | case '5':case '6':case '7':case '8':case '9' | |
60 | ||
61 | ||
62 | /* IS_INF tests its floating point number for infiniteness | |
63 | */ | |
64 | #ifndef IS_INF | |
f872b822 | 65 | #define IS_INF(x) ((x) == (x) / 2) |
0f2d19dd JB |
66 | #endif |
67 | ||
e6f3ef58 MD |
68 | /* Return true if X is not infinite and is not a NaN |
69 | */ | |
70 | #ifndef isfinite | |
71 | #define isfinite(x) (!IS_INF (x) && (x) == (x)) | |
72 | #endif | |
73 | ||
0f2d19dd JB |
74 | /* MAXEXP is the maximum double precision expontent |
75 | * FLTMAX is less than or scm_equal the largest single precision float | |
76 | */ | |
77 | ||
78 | #ifdef SCM_FLOATS | |
f872b822 MD |
79 | #ifdef STDC_HEADERS |
80 | #ifndef GO32 | |
81 | #include <float.h> | |
82 | #endif /* ndef GO32 */ | |
83 | #endif /* def STDC_HEADERS */ | |
84 | #ifdef DBL_MAX_10_EXP | |
85 | #define MAXEXP DBL_MAX_10_EXP | |
86 | #else | |
87 | #define MAXEXP 308 /* IEEE doubles */ | |
88 | #endif /* def DBL_MAX_10_EXP */ | |
89 | #ifdef FLT_MAX | |
90 | #define FLTMAX FLT_MAX | |
91 | #else | |
92 | #define FLTMAX 1e+23 | |
93 | #endif /* def FLT_MAX */ | |
0f2d19dd | 94 | #endif /* def SCM_FLOATS */ |
0f2d19dd JB |
95 | \f |
96 | ||
f872b822 | 97 | |
a1ec6916 | 98 | SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0, |
1bbd0b84 | 99 | (SCM x), |
b380b885 | 100 | "") |
1bbd0b84 | 101 | #define FUNC_NAME s_scm_exact_p |
0f2d19dd | 102 | { |
f872b822 MD |
103 | if (SCM_INUMP (x)) |
104 | return SCM_BOOL_T; | |
0f2d19dd | 105 | #ifdef SCM_BIGDIG |
0c95b57d | 106 | if (SCM_BIGP (x)) |
f872b822 | 107 | return SCM_BOOL_T; |
0f2d19dd JB |
108 | #endif |
109 | return SCM_BOOL_F; | |
110 | } | |
1bbd0b84 | 111 | #undef FUNC_NAME |
0f2d19dd | 112 | |
a1ec6916 | 113 | SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0, |
1bbd0b84 | 114 | (SCM n), |
b380b885 | 115 | "") |
1bbd0b84 | 116 | #define FUNC_NAME s_scm_odd_p |
0f2d19dd JB |
117 | { |
118 | #ifdef SCM_BIGDIG | |
f872b822 MD |
119 | if (SCM_NINUMP (n)) |
120 | { | |
3b3b36dd | 121 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 122 | return SCM_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 123 | } |
0f2d19dd | 124 | #else |
3b3b36dd | 125 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 126 | #endif |
1bbd0b84 | 127 | return SCM_BOOL(4 & (int) n); |
0f2d19dd | 128 | } |
1bbd0b84 | 129 | #undef FUNC_NAME |
0f2d19dd | 130 | |
a1ec6916 | 131 | SCM_DEFINE (scm_even_p, "even?", 1, 0, 0, |
1bbd0b84 | 132 | (SCM n), |
b380b885 | 133 | "") |
1bbd0b84 | 134 | #define FUNC_NAME s_scm_even_p |
0f2d19dd JB |
135 | { |
136 | #ifdef SCM_BIGDIG | |
f872b822 MD |
137 | if (SCM_NINUMP (n)) |
138 | { | |
3b3b36dd | 139 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 140 | return SCM_NEGATE_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 141 | } |
0f2d19dd | 142 | #else |
3b3b36dd | 143 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 144 | #endif |
1bbd0b84 | 145 | return SCM_NEGATE_BOOL(4 & (int) n); |
0f2d19dd | 146 | } |
1bbd0b84 | 147 | #undef FUNC_NAME |
0f2d19dd | 148 | |
9de33deb | 149 | SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs); |
1cc91f1b | 150 | |
0f2d19dd | 151 | SCM |
6e8d25a6 | 152 | scm_abs (SCM x) |
0f2d19dd | 153 | { |
c209c88e | 154 | long int cx; |
0f2d19dd | 155 | #ifdef SCM_BIGDIG |
f872b822 MD |
156 | if (SCM_NINUMP (x)) |
157 | { | |
0c95b57d | 158 | SCM_GASSERT1 (SCM_BIGP (x), g_abs, x, SCM_ARG1, s_abs); |
f872b822 MD |
159 | if (SCM_TYP16 (x) == scm_tc16_bigpos) |
160 | return x; | |
161 | return scm_copybig (x, 0); | |
162 | } | |
0f2d19dd | 163 | #else |
9de33deb | 164 | SCM_GASSERT1 (SCM_INUMP (x), g_abs, x, SCM_ARG1, s_abs); |
0f2d19dd | 165 | #endif |
f872b822 MD |
166 | if (SCM_INUM (x) >= 0) |
167 | return x; | |
c209c88e GB |
168 | cx = - SCM_INUM (x); |
169 | if (!SCM_POSFIXABLE (cx)) | |
0f2d19dd | 170 | #ifdef SCM_BIGDIG |
c209c88e | 171 | return scm_long2big (cx); |
0f2d19dd | 172 | #else |
c209c88e | 173 | scm_num_overflow (s_abs); |
0f2d19dd | 174 | #endif |
c209c88e | 175 | return SCM_MAKINUM (cx); |
0f2d19dd JB |
176 | } |
177 | ||
9de33deb | 178 | SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient); |
1cc91f1b | 179 | |
0f2d19dd | 180 | SCM |
6e8d25a6 | 181 | scm_quotient (SCM x, SCM y) |
0f2d19dd JB |
182 | { |
183 | register long z; | |
184 | #ifdef SCM_BIGDIG | |
f872b822 MD |
185 | if (SCM_NINUMP (x)) |
186 | { | |
0c95b57d | 187 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 188 | g_quotient, x, y, SCM_ARG1, s_quotient); |
f872b822 MD |
189 | if (SCM_NINUMP (y)) |
190 | { | |
0c95b57d | 191 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
192 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
193 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
194 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
195 | } | |
196 | z = SCM_INUM (y); | |
197 | SCM_ASRTGO (z, ov); | |
198 | if (1 == z) | |
199 | return x; | |
200 | if (z < 0) | |
201 | z = -z; | |
202 | if (z < SCM_BIGRAD) | |
203 | { | |
f1267706 | 204 | SCM sw = scm_copybig (x, SCM_BIGSIGN (x) ? (SCM_UNPACK (y) > 0) : (SCM_UNPACK (y) < 0)); |
c209c88e GB |
205 | scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z); |
206 | return scm_normbig (sw); | |
f872b822 | 207 | } |
c209c88e | 208 | { /* scope */ |
0f2d19dd | 209 | #ifndef SCM_DIGSTOOBIG |
c209c88e | 210 | long w = scm_pseudolong (z); |
f872b822 MD |
211 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
212 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
213 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
0f2d19dd | 214 | #else |
f872b822 MD |
215 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
216 | scm_longdigs (z, zdigs); | |
217 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
218 | zdigs, SCM_DIGSPERLONG, | |
219 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
f872b822 | 220 | #endif |
c209c88e | 221 | } /* end scope */ |
0f2d19dd | 222 | } |
f872b822 MD |
223 | if (SCM_NINUMP (y)) |
224 | { | |
0c95b57d | 225 | if (!SCM_BIGP (y)) |
f872b822 MD |
226 | { |
227 | bady: | |
9de33deb | 228 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); |
f872b822 | 229 | } |
f872b822 MD |
230 | return SCM_INUM0; |
231 | } | |
0f2d19dd | 232 | #else |
9de33deb MD |
233 | SCM_GASSERT2 (SCM_INUMP (x), g_quotient, x, y, SCM_ARG1, s_quotient); |
234 | SCM_GASSERT2 (SCM_INUMP (y), g_quotient, x, y, SCM_ARG2, s_quotient); | |
0f2d19dd | 235 | #endif |
f872b822 MD |
236 | if ((z = SCM_INUM (y)) == 0) |
237 | { | |
238 | ov: | |
239 | scm_num_overflow (s_quotient); | |
240 | } | |
241 | z = SCM_INUM (x) / z; | |
0f2d19dd JB |
242 | #ifdef BADIVSGNS |
243 | { | |
f872b822 MD |
244 | #if (__TURBOC__ == 1) |
245 | long t = ((y < 0) ? -SCM_INUM (x) : SCM_INUM (x)) % SCM_INUM (y); | |
0f2d19dd | 246 | #else |
f872b822 | 247 | long t = SCM_INUM (x) % SCM_INUM (y); |
0f2d19dd | 248 | #endif |
f872b822 | 249 | if (t == 0); |
0f2d19dd | 250 | else if (t < 0) |
f872b822 MD |
251 | if (x < 0); |
252 | else | |
253 | z--; | |
254 | else if (x < 0) | |
255 | z++; | |
0f2d19dd JB |
256 | } |
257 | #endif | |
f872b822 | 258 | if (!SCM_FIXABLE (z)) |
0f2d19dd | 259 | #ifdef SCM_BIGDIG |
f872b822 | 260 | return scm_long2big (z); |
0f2d19dd | 261 | #else |
52859adf | 262 | scm_num_overflow (s_quotient); |
0f2d19dd | 263 | #endif |
f872b822 | 264 | return SCM_MAKINUM (z); |
0f2d19dd JB |
265 | } |
266 | ||
9de33deb | 267 | SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder); |
1cc91f1b | 268 | |
0f2d19dd | 269 | SCM |
6e8d25a6 | 270 | scm_remainder (SCM x, SCM y) |
0f2d19dd JB |
271 | { |
272 | register long z; | |
273 | #ifdef SCM_BIGDIG | |
f872b822 MD |
274 | if (SCM_NINUMP (x)) |
275 | { | |
0c95b57d | 276 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 277 | g_remainder, x, y, SCM_ARG1, s_remainder); |
f872b822 MD |
278 | if (SCM_NINUMP (y)) |
279 | { | |
0c95b57d | 280 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
281 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
282 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
283 | SCM_BIGSIGN (x), 0); | |
284 | } | |
285 | if (!(z = SCM_INUM (y))) | |
286 | goto ov; | |
287 | return scm_divbigint (x, z, SCM_BIGSIGN (x), 0); | |
288 | } | |
289 | if (SCM_NINUMP (y)) | |
290 | { | |
0c95b57d | 291 | if (!SCM_BIGP (y)) |
f872b822 MD |
292 | { |
293 | bady: | |
9de33deb | 294 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); |
f872b822 | 295 | } |
f872b822 | 296 | return x; |
0f2d19dd | 297 | } |
0f2d19dd | 298 | #else |
9de33deb MD |
299 | SCM_GASSERT2 (SCM_INUMP (x), g_remainder, x, y, SCM_ARG1, s_remainder); |
300 | SCM_GASSERT2 (SCM_INUMP (y), g_remainder, x, y, SCM_ARG2, s_remainder); | |
0f2d19dd | 301 | #endif |
f872b822 MD |
302 | if (!(z = SCM_INUM (y))) |
303 | { | |
304 | ov: | |
305 | scm_num_overflow (s_remainder); | |
306 | } | |
307 | #if (__TURBOC__ == 1) | |
308 | if (z < 0) | |
309 | z = -z; | |
0f2d19dd | 310 | #endif |
f872b822 | 311 | z = SCM_INUM (x) % z; |
0f2d19dd | 312 | #ifdef BADIVSGNS |
f872b822 | 313 | if (!z); |
0f2d19dd | 314 | else if (z < 0) |
f872b822 MD |
315 | if (x < 0); |
316 | else | |
317 | z += SCM_INUM (y); | |
318 | else if (x < 0) | |
319 | z -= SCM_INUM (y); | |
0f2d19dd | 320 | #endif |
f872b822 | 321 | return SCM_MAKINUM (z); |
0f2d19dd JB |
322 | } |
323 | ||
9de33deb | 324 | SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo); |
1cc91f1b | 325 | |
0f2d19dd | 326 | SCM |
6e8d25a6 | 327 | scm_modulo (SCM x, SCM y) |
0f2d19dd JB |
328 | { |
329 | register long yy, z; | |
330 | #ifdef SCM_BIGDIG | |
f872b822 MD |
331 | if (SCM_NINUMP (x)) |
332 | { | |
0c95b57d | 333 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 334 | g_modulo, x, y, SCM_ARG1, s_modulo); |
f872b822 MD |
335 | if (SCM_NINUMP (y)) |
336 | { | |
0c95b57d | 337 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
338 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
339 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
340 | SCM_BIGSIGN (y), | |
341 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
342 | } | |
343 | if (!(z = SCM_INUM (y))) | |
344 | goto ov; | |
345 | return scm_divbigint (x, z, y < 0, | |
346 | (SCM_BIGSIGN (x) ? (y > 0) : (y < 0)) ? 1 : 0); | |
347 | } | |
348 | if (SCM_NINUMP (y)) | |
349 | { | |
0c95b57d | 350 | if (!SCM_BIGP (y)) |
f872b822 MD |
351 | { |
352 | bady: | |
9de33deb | 353 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); |
f872b822 | 354 | } |
f872b822 | 355 | return (SCM_BIGSIGN (y) ? (x > 0) : (x < 0)) ? scm_sum (x, y) : x; |
0f2d19dd | 356 | } |
0f2d19dd | 357 | #else |
9de33deb MD |
358 | SCM_GASSERT1 (SCM_INUMP (x), g_modulo, x, y, SCM_ARG1, s_modulo); |
359 | SCM_GASSERT2 (SCM_INUMP (y), g_modulo, x, y, SCM_ARG2, s_modulo); | |
0f2d19dd | 360 | #endif |
f872b822 MD |
361 | if (!(yy = SCM_INUM (y))) |
362 | { | |
363 | ov: | |
364 | scm_num_overflow (s_modulo); | |
365 | } | |
0f2d19dd | 366 | #if (__TURBOC__==1) |
f872b822 MD |
367 | z = SCM_INUM (x); |
368 | z = ((yy < 0) ? -z : z) % yy; | |
0f2d19dd | 369 | #else |
f872b822 | 370 | z = SCM_INUM (x) % yy; |
0f2d19dd | 371 | #endif |
f872b822 | 372 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); |
0f2d19dd JB |
373 | } |
374 | ||
9de33deb | 375 | SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd); |
1cc91f1b | 376 | |
0f2d19dd | 377 | SCM |
6e8d25a6 | 378 | scm_gcd (SCM x, SCM y) |
0f2d19dd | 379 | { |
c209c88e | 380 | long u, v, k, t; |
f872b822 MD |
381 | if (SCM_UNBNDP (y)) |
382 | return SCM_UNBNDP (x) ? SCM_INUM0 : x; | |
0f2d19dd JB |
383 | tailrec: |
384 | #ifdef SCM_BIGDIG | |
f872b822 MD |
385 | if (SCM_NINUMP (x)) |
386 | { | |
387 | big_gcd: | |
0c95b57d | 388 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 389 | g_gcd, x, y, SCM_ARG1, s_gcd); |
f872b822 MD |
390 | if (SCM_BIGSIGN (x)) |
391 | x = scm_copybig (x, 0); | |
392 | newy: | |
393 | if (SCM_NINUMP (y)) | |
394 | { | |
0c95b57d | 395 | SCM_GASSERT2 (SCM_BIGP (y), |
9de33deb | 396 | g_gcd, x, y, SCM_ARGn, s_gcd); |
f872b822 MD |
397 | if (SCM_BIGSIGN (y)) |
398 | y = scm_copybig (y, 0); | |
399 | switch (scm_bigcomp (x, y)) | |
400 | { | |
401 | case -1: | |
402 | swaprec: | |
c209c88e GB |
403 | { |
404 | SCM t = scm_remainder (x, y); | |
405 | x = y; | |
406 | y = t; | |
407 | } | |
f872b822 MD |
408 | goto tailrec; |
409 | case 0: | |
410 | return x; | |
411 | case 1: | |
412 | y = scm_remainder (y, x); | |
413 | goto newy; | |
414 | } | |
415 | /* instead of the switch, we could just | |
416 | return scm_gcd (y, scm_modulo (x, y)); */ | |
417 | } | |
418 | if (SCM_INUM0 == y) | |
419 | return x; | |
420 | goto swaprec; | |
0f2d19dd | 421 | } |
f872b822 MD |
422 | if (SCM_NINUMP (y)) |
423 | { | |
c209c88e | 424 | SCM t = x; |
f872b822 MD |
425 | x = y; |
426 | y = t; | |
427 | goto big_gcd; | |
428 | } | |
429 | #else | |
9de33deb MD |
430 | SCM_GASSERT2 (SCM_INUMP (x), g_gcd, x, y, SCM_ARG1, s_gcd); |
431 | SCM_GASSERT2 (SCM_INUMP (y), g_gcd, x, y, SCM_ARGn, s_gcd); | |
f872b822 MD |
432 | #endif |
433 | u = SCM_INUM (x); | |
434 | if (u < 0) | |
435 | u = -u; | |
436 | v = SCM_INUM (y); | |
437 | if (v < 0) | |
438 | v = -v; | |
439 | else if (0 == v) | |
440 | goto getout; | |
441 | if (0 == u) | |
442 | { | |
443 | u = v; | |
444 | goto getout; | |
445 | } | |
446 | for (k = 1; !(1 & ((int) u | (int) v)); k <<= 1, u >>= 1, v >>= 1); | |
447 | if (1 & (int) u) | |
448 | t = -v; | |
449 | else | |
450 | { | |
451 | t = u; | |
452 | b3: | |
453 | t = SCM_SRS (t, 1); | |
454 | } | |
455 | if (!(1 & (int) t)) | |
456 | goto b3; | |
457 | if (t > 0) | |
458 | u = t; | |
459 | else | |
460 | v = -t; | |
461 | if ((t = u - v)) | |
462 | goto b3; | |
463 | u = u * k; | |
0f2d19dd | 464 | getout: |
f872b822 | 465 | if (!SCM_POSFIXABLE (u)) |
0f2d19dd | 466 | #ifdef SCM_BIGDIG |
f872b822 | 467 | return scm_long2big (u); |
0f2d19dd | 468 | #else |
52859adf | 469 | scm_num_overflow (s_gcd); |
0f2d19dd | 470 | #endif |
f872b822 | 471 | return SCM_MAKINUM (u); |
0f2d19dd JB |
472 | } |
473 | ||
9de33deb | 474 | SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm); |
1cc91f1b | 475 | |
0f2d19dd | 476 | SCM |
6e8d25a6 | 477 | scm_lcm (SCM n1, SCM n2) |
0f2d19dd JB |
478 | { |
479 | SCM d; | |
02a3305a | 480 | #ifndef SCM_BIGDIG |
87fbf1be MD |
481 | SCM_GASSERT2 (SCM_INUMP (n1) || SCM_UNBNDP (n1), |
482 | g_lcm, n1, n2, SCM_ARG1, s_lcm); | |
02a3305a MD |
483 | SCM_GASSERT2 (SCM_INUMP (n2) || SCM_UNBNDP (n2), |
484 | g_lcm, n1, n2, SCM_ARGn, s_lcm); | |
9de33deb | 485 | #else |
87fbf1be MD |
486 | SCM_GASSERT2 (SCM_INUMP (n1) |
487 | || SCM_UNBNDP (n1) | |
0c95b57d | 488 | || (SCM_BIGP (n1)), |
9de33deb | 489 | g_lcm, n1, n2, SCM_ARG1, s_lcm); |
02a3305a MD |
490 | SCM_GASSERT2 (SCM_INUMP (n2) |
491 | || SCM_UNBNDP (n2) | |
0c95b57d | 492 | || (SCM_BIGP (n2)), |
9de33deb MD |
493 | g_lcm, n1, n2, SCM_ARGn, s_lcm); |
494 | #endif | |
f872b822 MD |
495 | if (SCM_UNBNDP (n2)) |
496 | { | |
497 | n2 = SCM_MAKINUM (1L); | |
498 | if (SCM_UNBNDP (n1)) | |
499 | return n2; | |
500 | } | |
9de33deb | 501 | |
f872b822 MD |
502 | d = scm_gcd (n1, n2); |
503 | if (SCM_INUM0 == d) | |
504 | return d; | |
505 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
0f2d19dd JB |
506 | } |
507 | ||
508 | #ifndef SCM_BIGDIG | |
f872b822 MD |
509 | #ifndef SCM_FLOATS |
510 | #define scm_long2num SCM_MAKINUM | |
511 | #endif | |
0f2d19dd JB |
512 | #endif |
513 | ||
514 | #ifndef scm_long2num | |
c1bfcf60 GB |
515 | #define SCM_LOGOP_RETURN(x) scm_ulong2num(x) |
516 | #else | |
517 | #define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x) | |
518 | #endif | |
519 | ||
8a525303 GB |
520 | |
521 | /* Emulating 2's complement bignums with sign magnitude arithmetic: | |
522 | ||
523 | Logand: | |
524 | X Y Result Method: | |
525 | (len) | |
526 | + + + x (map digit:logand X Y) | |
527 | + - + x (map digit:logand X (lognot (+ -1 Y))) | |
528 | - + + y (map digit:logand (lognot (+ -1 X)) Y) | |
529 | - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) | |
530 | ||
531 | Logior: | |
532 | X Y Result Method: | |
533 | ||
534 | + + + (map digit:logior X Y) | |
535 | + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) | |
536 | - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) | |
537 | - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) | |
538 | ||
539 | Logxor: | |
540 | X Y Result Method: | |
541 | ||
542 | + + + (map digit:logxor X Y) | |
543 | + - - (+ 1 (map digit:logxor X (+ -1 Y))) | |
544 | - + - (+ 1 (map digit:logxor (+ -1 X) Y)) | |
545 | - - + (map digit:logxor (+ -1 X) (+ -1 Y)) | |
546 | ||
547 | Logtest: | |
548 | X Y Result | |
549 | ||
550 | + + (any digit:logand X Y) | |
551 | + - (any digit:logand X (lognot (+ -1 Y))) | |
552 | - + (any digit:logand (lognot (+ -1 X)) Y) | |
553 | - - #t | |
554 | ||
555 | */ | |
556 | ||
557 | #ifdef SCM_BIGDIG | |
558 | ||
559 | SCM scm_copy_big_dec(SCM b, int sign); | |
560 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn); | |
561 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
562 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
563 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn); | |
564 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
565 | ||
566 | SCM scm_copy_big_dec(SCM b, int sign) | |
567 | { | |
568 | long num = -1; | |
569 | scm_sizet nx = SCM_NUMDIGS(b); | |
570 | scm_sizet i = 0; | |
571 | SCM ans = scm_mkbig(nx, sign); | |
572 | SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans); | |
573 | if SCM_BIGSIGN(b) do { | |
574 | num += src[i]; | |
575 | if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;} | |
576 | else {dst[i] = SCM_BIGLO(num); num = 0;} | |
577 | } while (++i < nx); | |
578 | else | |
579 | while (nx--) dst[nx] = src[nx]; | |
580 | return ans; | |
581 | } | |
582 | ||
583 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn) | |
584 | { | |
585 | long num = -1; | |
586 | scm_sizet i = 0; | |
587 | SCM z = scm_mkbig(nx, zsgn); | |
588 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
589 | if (zsgn) do { | |
590 | num += x[i]; | |
591 | if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;} | |
592 | else {zds[i] = SCM_BIGLO(num); num = 0;} | |
593 | } while (++i < nx); | |
594 | else do zds[i] = x[i]; while (++i < nx); | |
595 | return z; | |
596 | } | |
597 | ||
598 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
599 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
600 | /* Assumes xsgn equals either 0 or 0x0100 */ | |
601 | { | |
602 | long num = -1; | |
603 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
604 | SCM z = scm_copy_big_dec(bigy, xsgn & SCM_BIGSIGN(bigy)); | |
605 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
606 | if (xsgn) { | |
607 | do { | |
608 | num += x[i]; | |
609 | if (num < 0) {zds[i] |= num + SCM_BIGRAD; num = -1;} | |
610 | else {zds[i] |= SCM_BIGLO(num); num = 0;} | |
611 | } while (++i < nx); | |
612 | /* ========= Need to increment zds now =========== */ | |
613 | i = 0; num = 1; | |
614 | while (i < ny) { | |
615 | num += zds[i]; | |
616 | zds[i++] = SCM_BIGLO(num); | |
617 | num = SCM_BIGDN(num); | |
618 | if (!num) return z; | |
619 | } | |
620 | scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */ | |
621 | SCM_BDIGITS(z)[ny] = 1; | |
622 | return z; | |
623 | } | |
624 | else do zds[i] = zds[i] | x[i]; while (++i < nx); | |
625 | return z; | |
626 | } | |
627 | ||
628 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
629 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
630 | /* Assumes xsgn equals either 0 or 0x0100 */ | |
631 | { | |
632 | long num = -1; | |
633 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
634 | SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy)); | |
635 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
636 | if (xsgn) do { | |
637 | num += x[i]; | |
638 | if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;} | |
639 | else {zds[i] ^= SCM_BIGLO(num); num = 0;} | |
640 | } while (++i < nx); | |
641 | else do { | |
642 | zds[i] = zds[i] ^ x[i]; | |
643 | } while (++i < nx); | |
644 | ||
645 | if (xsgn ^ SCM_BIGSIGN(bigy)) { | |
646 | /* ========= Need to increment zds now =========== */ | |
647 | i = 0; num = 1; | |
648 | while (i < ny) { | |
649 | num += zds[i]; | |
650 | zds[i++] = SCM_BIGLO(num); | |
651 | num = SCM_BIGDN(num); | |
652 | if (!num) return scm_normbig(z); | |
653 | } | |
654 | } | |
655 | return scm_normbig(z); | |
656 | } | |
657 | ||
658 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn) | |
659 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
660 | /* Assumes xsgn equals either 0 or 0x0100 */ | |
661 | /* return sign equals either 0 or 0x0100 */ | |
662 | { | |
663 | long num = -1; | |
664 | scm_sizet i = 0; | |
665 | SCM z; | |
666 | SCM_BIGDIG *zds; | |
667 | if (xsgn==zsgn) { | |
668 | z = scm_copy_smaller(x, nx, zsgn); | |
669 | x = SCM_BDIGITS(bigy); | |
670 | xsgn = SCM_BIGSIGN(bigy); | |
671 | } | |
672 | else z = scm_copy_big_dec(bigy, zsgn); | |
673 | zds = SCM_BDIGITS(z); | |
674 | ||
675 | if (zsgn) { | |
676 | if (xsgn) do { | |
677 | num += x[i]; | |
678 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
679 | else {zds[i] &= SCM_BIGLO(num); num = 0;} | |
680 | } while (++i < nx); | |
681 | else do zds[i] = zds[i] & ~x[i]; while (++i < nx); | |
682 | /* ========= need to increment zds now =========== */ | |
683 | i = 0; num = 1; | |
684 | while (i < nx) { | |
685 | num += zds[i]; | |
686 | zds[i++] = SCM_BIGLO(num); | |
687 | num = SCM_BIGDN(num); | |
688 | if (!num) return scm_normbig(z); | |
689 | } | |
690 | } | |
691 | else if (xsgn) do { | |
692 | num += x[i]; | |
693 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
694 | else {zds[i] &= ~SCM_BIGLO(num); num = 0;} | |
695 | } while (++i < nx); | |
696 | else do zds[i] = zds[i] & x[i]; while (++i < nx); | |
697 | return scm_normbig(z); | |
698 | } | |
699 | ||
700 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
701 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
702 | /* Assumes xsgn equals either 0 or 0x0100 */ | |
703 | { | |
704 | SCM_BIGDIG *y; | |
705 | scm_sizet i = 0; | |
706 | long num = -1; | |
707 | if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T; | |
708 | if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T; | |
709 | y = SCM_BDIGITS(bigy); | |
710 | if (xsgn) | |
711 | do { | |
712 | num += x[i]; | |
713 | if (num < 0) { | |
714 | if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
715 | num = -1; | |
716 | } | |
717 | else { | |
718 | if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
719 | num = 0; | |
720 | } | |
721 | } while (++i < nx); | |
722 | else if SCM_BIGSIGN(bigy) | |
723 | do { | |
724 | num += y[i]; | |
725 | if (num < 0) { | |
726 | if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
727 | num = -1; | |
728 | } | |
729 | else { | |
730 | if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
731 | num = 0; | |
732 | } | |
733 | } while (++i < nx); | |
734 | else | |
735 | do if (x[i] & y[i]) return SCM_BOOL_T; | |
736 | while (++i < nx); | |
737 | return SCM_BOOL_F; | |
738 | } | |
739 | ||
740 | #endif | |
741 | ||
c3ee7520 | 742 | SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr, |
1bbd0b84 | 743 | (SCM n1, SCM n2), |
b380b885 MD |
744 | "Returns the integer which is the bit-wise AND of the two integer\n" |
745 | "arguments.\n\n" | |
746 | "Example:\n" | |
747 | "@lisp\n" | |
748 | "(number->string (logand #b1100 #b1010) 2)\n" | |
749 | " @result{} \"1000\"") | |
1bbd0b84 | 750 | #define FUNC_NAME s_scm_logand |
0f2d19dd | 751 | { |
f872b822 | 752 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
753 | { |
754 | if (SCM_UNBNDP (n1)) | |
755 | return SCM_MAKINUM (-1); | |
8a525303 GB |
756 | #ifndef SCM_RECKLESS |
757 | if (!(SCM_NUMBERP(n1))) | |
758 | badx: SCM_WTA(SCM_ARG1, n1); | |
759 | #endif | |
d28da049 MD |
760 | return n1; |
761 | } | |
8a525303 GB |
762 | #ifdef SCM_BIGDIG |
763 | if SCM_NINUMP(n1) { | |
764 | SCM t; | |
765 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
766 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
767 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
768 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
769 | if ((SCM_BIGSIGN(n1)) && SCM_BIGSIGN(n2)) | |
770 | return scm_big_ior(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), 0x0100, n2); | |
771 | return scm_big_and(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2, 0); | |
772 | } | |
773 | if SCM_NINUMP(n2) { | |
774 | # ifndef SCM_RECKLESS | |
775 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
776 | bady: SCM_WTA (SCM_ARG2, n2); | |
777 | # endif | |
778 | intbig: { | |
779 | # ifndef SCM_DIGSTOOBIG | |
780 | long z = scm_pseudolong(SCM_INUM(n1)); | |
781 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
782 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, 0x0100, n2); | |
783 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2, 0); | |
784 | # else | |
785 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
786 | scm_longdigs(SCM_INUM(n1), zdigs); | |
787 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
788 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, 0x0100, n2); | |
789 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2, 0); | |
790 | # endif | |
791 | }} | |
792 | #else | |
793 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
794 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
795 | #endif | |
796 | return SCM_MAKINUM(SCM_INUM(n1) & SCM_INUM(n2)); | |
0f2d19dd | 797 | } |
1bbd0b84 | 798 | #undef FUNC_NAME |
0f2d19dd | 799 | |
c3ee7520 | 800 | SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr, |
1bbd0b84 | 801 | (SCM n1, SCM n2), |
b380b885 MD |
802 | "Returns the integer which is the bit-wise OR of the two integer\n" |
803 | "arguments.\n\n" | |
804 | "Example:\n" | |
805 | "@lisp\n" | |
806 | "(number->string (logior #b1100 #b1010) 2)\n" | |
807 | " @result{} \"1110\"\n" | |
808 | "@end lisp") | |
1bbd0b84 | 809 | #define FUNC_NAME s_scm_logior |
0f2d19dd | 810 | { |
f872b822 | 811 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
812 | { |
813 | if (SCM_UNBNDP (n1)) | |
814 | return SCM_INUM0; | |
8a525303 GB |
815 | #ifndef SCM_RECKLESS |
816 | if (!(SCM_NUMBERP(n1))) | |
817 | badx: SCM_WTA(SCM_ARG1, n1); | |
818 | #endif | |
d28da049 MD |
819 | return n1; |
820 | } | |
8a525303 GB |
821 | #ifdef SCM_BIGDIG |
822 | if SCM_NINUMP(n1) { | |
823 | SCM t; | |
824 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
825 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
826 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
827 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
828 | if ((!SCM_BIGSIGN(n1)) && !SCM_BIGSIGN(n2)) | |
829 | return scm_big_ior(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
830 | return scm_big_and(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2, 0x0100); | |
831 | } | |
832 | if SCM_NINUMP(n2) { | |
833 | # ifndef SCM_RECKLESS | |
834 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
835 | bady: SCM_WTA(SCM_ARG2, n2); | |
836 | # endif | |
837 | intbig: { | |
838 | # ifndef SCM_DIGSTOOBIG | |
839 | long z = scm_pseudolong(SCM_INUM(n1)); | |
840 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
841 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2); | |
842 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2, 0x0100); | |
843 | # else | |
844 | BIGDIG zdigs[DIGSPERLONG]; | |
845 | scm_longdigs(SCM_INUM(n1), zdigs); | |
846 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
847 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2); | |
848 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2, 0x0100); | |
849 | # endif | |
850 | }} | |
851 | #else | |
852 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
853 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
854 | #endif | |
855 | return SCM_MAKINUM(SCM_INUM(n1) | SCM_INUM(n2)); | |
0f2d19dd | 856 | } |
1bbd0b84 | 857 | #undef FUNC_NAME |
0f2d19dd | 858 | |
c3ee7520 | 859 | SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr, |
1bbd0b84 | 860 | (SCM n1, SCM n2), |
b380b885 MD |
861 | "Returns the integer which is the bit-wise XOR of the two integer\n" |
862 | "arguments.\n\n" | |
863 | "Example:\n" | |
864 | "@lisp\n" | |
865 | "(number->string (logxor #b1100 #b1010) 2)\n" | |
866 | " @result{} \"110\"\n" | |
867 | "@end lisp") | |
1bbd0b84 | 868 | #define FUNC_NAME s_scm_logxor |
0f2d19dd | 869 | { |
f872b822 | 870 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
871 | { |
872 | if (SCM_UNBNDP (n1)) | |
873 | return SCM_INUM0; | |
8a525303 GB |
874 | #ifndef SCM_RECKLESS |
875 | if (!(SCM_NUMBERP(n1))) | |
876 | badx: SCM_WTA(SCM_ARG1, n1); | |
877 | #endif | |
d28da049 MD |
878 | return n1; |
879 | } | |
8a525303 GB |
880 | #ifdef SCM_BIGDIG |
881 | if SCM_NINUMP(n1) { | |
882 | SCM t; | |
883 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
884 | if SCM_INUMP(n2) | |
885 | { | |
886 | t = n1; | |
887 | n1 = n2; | |
888 | n2 = t; | |
889 | goto intbig; | |
890 | } | |
891 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
892 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) | |
893 | { | |
894 | t = n1; | |
895 | n1 = n2; | |
896 | n2 = t; | |
897 | } | |
898 | return scm_big_xor(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
899 | } | |
900 | if SCM_NINUMP(n2) { | |
901 | # ifndef SCM_RECKLESS | |
902 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
903 | bady: SCM_WTA (SCM_ARG2, n2); | |
904 | # endif | |
905 | intbig: | |
906 | { | |
907 | # ifndef SCM_DIGSTOOBIG | |
908 | long z = scm_pseudolong(SCM_INUM(n1)); | |
909 | return scm_big_xor((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2); | |
910 | # else | |
911 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
912 | scm_longdigs(SCM_INUM(n1), zdigs); | |
913 | return scm_big_xor(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2); | |
914 | # endif | |
915 | } | |
916 | } | |
917 | #else | |
918 | SCM_ASRTGO(INUMP(n1), badx); | |
919 | SCM_ASSERT(INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
920 | #endif | |
921 | return SCM_MAKINUM(SCM_INUM(n1) ^ SCM_INUM(n2)); | |
0f2d19dd | 922 | } |
1bbd0b84 | 923 | #undef FUNC_NAME |
0f2d19dd | 924 | |
a1ec6916 | 925 | SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0, |
1bbd0b84 | 926 | (SCM n1, SCM n2), |
b380b885 MD |
927 | "@example\n" |
928 | "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n" | |
929 | "(logtest #b0100 #b1011) @result{} #f\n" | |
930 | "(logtest #b0100 #b0111) @result{} #t\n" | |
931 | "@end example") | |
1bbd0b84 | 932 | #define FUNC_NAME s_scm_logtest |
0f2d19dd | 933 | { |
8a525303 GB |
934 | #ifndef SCM_RECKLESS |
935 | if (!(SCM_NUMBERP(n1))) | |
936 | badx: SCM_WTA(SCM_ARG1, n1); | |
937 | #endif | |
938 | #ifdef SCM_BIGDIG | |
939 | if SCM_NINUMP(n1) { | |
940 | SCM t; | |
941 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
942 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
943 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
944 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
945 | return scm_big_test(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
946 | } | |
947 | if SCM_NINUMP(n2) { | |
948 | # ifndef SCM_RECKLESS | |
949 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
950 | bady: SCM_WTA(SCM_ARG2, n2); | |
951 | # endif | |
952 | intbig: { | |
953 | # ifndef SCM_DIGSTOOBIG | |
954 | long z = scm_pseudolong(SCM_INUM(n1)); | |
955 | return scm_big_test((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2); | |
956 | # else | |
957 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
958 | scm_longdigs(SCM_INUM(n1), zdigs); | |
959 | return scm_big_test(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? 0x0100 : 0, n2); | |
960 | # endif | |
961 | }} | |
962 | #else | |
963 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
964 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
965 | #endif | |
966 | return (SCM_INUM(n1) & SCM_INUM(n2)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 967 | } |
1bbd0b84 | 968 | #undef FUNC_NAME |
0f2d19dd | 969 | |
c1bfcf60 | 970 | |
a1ec6916 | 971 | SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0, |
2cd04b42 | 972 | (SCM index, SCM j), |
b380b885 MD |
973 | "@example\n" |
974 | "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n" | |
975 | "(logbit? 0 #b1101) @result{} #t\n" | |
976 | "(logbit? 1 #b1101) @result{} #f\n" | |
977 | "(logbit? 2 #b1101) @result{} #t\n" | |
978 | "(logbit? 3 #b1101) @result{} #t\n" | |
979 | "(logbit? 4 #b1101) @result{} #f\n" | |
980 | "@end example") | |
1bbd0b84 | 981 | #define FUNC_NAME s_scm_logbit_p |
0f2d19dd | 982 | { |
8a525303 GB |
983 | SCM_ASSERT(SCM_INUMP(index) && SCM_INUM(index) >= 0, index, SCM_ARG1, FUNC_NAME); |
984 | #ifdef SCM_BIGDIG | |
985 | if SCM_NINUMP(j) { | |
986 | SCM_ASSERT(SCM_NIMP(j) && SCM_BIGP(j), j, SCM_ARG2, FUNC_NAME); | |
987 | if (SCM_NUMDIGS(j) * SCM_BITSPERDIG < SCM_INUM(index)) return SCM_BOOL_F; | |
988 | else if SCM_BIGSIGN(j) { | |
989 | long num = -1; | |
990 | scm_sizet i = 0; | |
991 | SCM_BIGDIG *x = SCM_BDIGITS(j); | |
992 | scm_sizet nx = SCM_INUM(index)/SCM_BITSPERDIG; | |
993 | while (!0) { | |
994 | num += x[i]; | |
995 | if (nx==i++) | |
996 | return ((1L << (SCM_INUM(index)%SCM_BITSPERDIG)) & num) ? SCM_BOOL_F : SCM_BOOL_T; | |
997 | if (num < 0) num = -1; | |
998 | else num = 0; | |
999 | } | |
1000 | } | |
1001 | else return (SCM_BDIGITS(j)[SCM_INUM(index)/SCM_BITSPERDIG] & | |
1002 | (1L << (SCM_INUM(index)%SCM_BITSPERDIG))) ? SCM_BOOL_T : SCM_BOOL_F; | |
1003 | } | |
1004 | #else | |
1005 | SCM_ASSERT(SCM_INUMP(j), j, SCM_ARG2, FUNC_NAME); | |
1006 | #endif | |
1007 | return ((1L << SCM_INUM(index)) & SCM_INUM(j)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 1008 | } |
1bbd0b84 | 1009 | #undef FUNC_NAME |
0f2d19dd | 1010 | |
a1ec6916 | 1011 | SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0, |
1bbd0b84 | 1012 | (SCM n), |
b380b885 MD |
1013 | "Returns the integer which is the 2s-complement of the integer argument.\n\n" |
1014 | "Example:\n" | |
1015 | "@lisp\n" | |
1016 | "(number->string (lognot #b10000000) 2)\n" | |
1017 | " @result{} \"-10000001\"\n" | |
1018 | "(number->string (lognot #b0) 2)\n" | |
1019 | " @result{} \"-1\"\n" | |
1020 | "@end lisp\n" | |
1021 | "") | |
1bbd0b84 | 1022 | #define FUNC_NAME s_scm_lognot |
0f2d19dd | 1023 | { |
f872b822 | 1024 | return scm_difference (SCM_MAKINUM (-1L), n); |
0f2d19dd | 1025 | } |
1bbd0b84 | 1026 | #undef FUNC_NAME |
0f2d19dd | 1027 | |
a1ec6916 | 1028 | SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0, |
2cd04b42 | 1029 | (SCM n, SCM k), |
b380b885 MD |
1030 | "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n" |
1031 | "Example:\n" | |
1032 | "@lisp\n" | |
1033 | "(integer-expt 2 5)\n" | |
1034 | " @result{} 32\n" | |
1035 | "(integer-expt -3 3)\n" | |
1036 | " @result{} -27\n" | |
1037 | "@end lisp") | |
1bbd0b84 | 1038 | #define FUNC_NAME s_scm_integer_expt |
0f2d19dd | 1039 | { |
f872b822 | 1040 | SCM acc = SCM_MAKINUM (1L); |
1bbd0b84 | 1041 | int i2; |
0f2d19dd | 1042 | #ifdef SCM_BIGDIG |
2cd04b42 GB |
1043 | if (SCM_INUM0 == n || acc == n) |
1044 | return n; | |
1045 | else if (SCM_MAKINUM (-1L) == n) | |
1046 | return SCM_BOOL_F == scm_even_p (k) ? n : acc; | |
0f2d19dd | 1047 | #endif |
2cd04b42 | 1048 | SCM_VALIDATE_ULONG_COPY (2,k,i2); |
1bbd0b84 | 1049 | if (i2 < 0) |
f872b822 | 1050 | { |
1bbd0b84 | 1051 | i2 = -i2; |
2cd04b42 | 1052 | n = scm_divide (n, SCM_UNDEFINED); |
f872b822 MD |
1053 | } |
1054 | while (1) | |
1055 | { | |
1bbd0b84 | 1056 | if (0 == i2) |
f872b822 | 1057 | return acc; |
1bbd0b84 | 1058 | if (1 == i2) |
2cd04b42 | 1059 | return scm_product (acc, n); |
1bbd0b84 | 1060 | if (i2 & 1) |
2cd04b42 GB |
1061 | acc = scm_product (acc, n); |
1062 | n = scm_product (n, n); | |
1bbd0b84 | 1063 | i2 >>= 1; |
f872b822 | 1064 | } |
0f2d19dd | 1065 | } |
1bbd0b84 | 1066 | #undef FUNC_NAME |
0f2d19dd | 1067 | |
a1ec6916 | 1068 | SCM_DEFINE (scm_ash, "ash", 2, 0, 0, |
1bbd0b84 | 1069 | (SCM n, SCM cnt), |
b380b885 MD |
1070 | "Returns an integer equivalent to\n" |
1071 | "@code{(inexact->exact (floor (* @var{int} (expt 2 @var{count}))))}.@refill\n\n" | |
1072 | "Example:\n" | |
1073 | "@lisp\n" | |
1074 | "(number->string (ash #b1 3) 2)\n" | |
a3c8b9fc MD |
1075 | " @result{} \"1000\"" |
1076 | "(number->string (ash #b1010 -1) 2)" | |
1077 | " @result{} \"101\"" | |
1078 | "@end lisp") | |
1bbd0b84 | 1079 | #define FUNC_NAME s_scm_ash |
0f2d19dd | 1080 | { |
1bbd0b84 | 1081 | /* GJB:FIXME:: what is going on here? */ |
f1267706 | 1082 | SCM res = SCM_PACK (SCM_INUM (n)); |
3b3b36dd | 1083 | SCM_VALIDATE_INUM (2,cnt); |
0f2d19dd | 1084 | #ifdef SCM_BIGDIG |
f872b822 MD |
1085 | if (cnt < 0) |
1086 | { | |
1087 | res = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-SCM_INUM (cnt))); | |
1088 | if (SCM_NFALSEP (scm_negative_p (n))) | |
1089 | return scm_sum (SCM_MAKINUM (-1L), | |
1090 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), res)); | |
1091 | else | |
1092 | return scm_quotient (n, res); | |
1093 | } | |
1094 | else | |
1095 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); | |
0f2d19dd | 1096 | #else |
3b3b36dd | 1097 | SCM_VALIDATE_INUM (1,n) |
f872b822 MD |
1098 | cnt = SCM_INUM (cnt); |
1099 | if (cnt < 0) | |
1100 | return SCM_MAKINUM (SCM_SRS (res, -cnt)); | |
1101 | res = SCM_MAKINUM (res << cnt); | |
1102 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
1bbd0b84 | 1103 | scm_num_overflow (FUNC_NAME); |
0f2d19dd JB |
1104 | return res; |
1105 | #endif | |
1106 | } | |
1bbd0b84 | 1107 | #undef FUNC_NAME |
0f2d19dd | 1108 | |
1bbd0b84 | 1109 | /* GJB:FIXME: do not use SCMs as integers! */ |
a1ec6916 | 1110 | SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0, |
1bbd0b84 | 1111 | (SCM n, SCM start, SCM end), |
b380b885 MD |
1112 | "Returns the integer composed of the @var{start} (inclusive) through\n" |
1113 | "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n" | |
1114 | "the 0-th bit in the result.@refill\n\n" | |
1115 | "Example:\n" | |
1116 | "@lisp\n" | |
1117 | "(number->string (bit-extract #b1101101010 0 4) 2)\n" | |
1118 | " @result{} \"1010\"\n" | |
1119 | "(number->string (bit-extract #b1101101010 4 9) 2)\n" | |
1120 | " @result{} \"10110\"\n" | |
1121 | "@end lisp") | |
1bbd0b84 | 1122 | #define FUNC_NAME s_scm_bit_extract |
0f2d19dd | 1123 | { |
c1bfcf60 | 1124 | int istart, iend; |
3b3b36dd | 1125 | SCM_VALIDATE_INUM (1,n); |
c1bfcf60 GB |
1126 | SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart); |
1127 | SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend); | |
1128 | SCM_ASSERT_RANGE (3, end, (iend >= istart)); | |
0f2d19dd | 1129 | #ifdef SCM_BIGDIG |
f872b822 | 1130 | if (SCM_NINUMP (n)) |
0f2d19dd | 1131 | return |
f872b822 | 1132 | scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2), |
c1bfcf60 | 1133 | SCM_MAKINUM (iend - istart)), |
f872b822 | 1134 | SCM_MAKINUM (1L)), |
c1bfcf60 | 1135 | scm_ash (n, SCM_MAKINUM (-istart))); |
0f2d19dd | 1136 | #else |
3b3b36dd | 1137 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1138 | #endif |
c1bfcf60 | 1139 | return SCM_MAKINUM ((SCM_INUM (n) >> istart) & ((1L << (iend - istart)) - 1)); |
0f2d19dd | 1140 | } |
1bbd0b84 | 1141 | #undef FUNC_NAME |
0f2d19dd | 1142 | |
e4755e5c JB |
1143 | static const char scm_logtab[] = { |
1144 | 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 | |
1145 | }; | |
1cc91f1b | 1146 | |
a1ec6916 | 1147 | SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0, |
1bbd0b84 | 1148 | (SCM n), |
b380b885 MD |
1149 | "Returns the number of bits in integer @var{n}. If integer is positive,\n" |
1150 | "the 1-bits in its binary representation are counted. If negative, the\n" | |
1151 | "0-bits in its two's-complement binary representation are counted. If 0,\n" | |
1152 | "0 is returned.\n\n" | |
1153 | "Example:\n" | |
1154 | "@lisp\n" | |
1155 | "(logcount #b10101010)\n" | |
1156 | " @result{} 4\n" | |
1157 | "(logcount 0)\n" | |
1158 | " @result{} 0\n" | |
1159 | "(logcount -2)\n" | |
1160 | " @result{} 1\n" | |
1161 | "@end lisp") | |
1bbd0b84 | 1162 | #define FUNC_NAME s_scm_logcount |
0f2d19dd JB |
1163 | { |
1164 | register unsigned long c = 0; | |
1165 | register long nn; | |
1166 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1167 | if (SCM_NINUMP (n)) |
1168 | { | |
1169 | scm_sizet i; | |
1170 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1171 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1172 | if (SCM_BIGSIGN (n)) |
1173 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
1174 | ds = SCM_BDIGITS (n); | |
1175 | for (i = SCM_NUMDIGS (n); i--;) | |
1176 | for (d = ds[i]; d; d >>= 4) | |
1177 | c += scm_logtab[15 & d]; | |
1178 | return SCM_MAKINUM (c); | |
1179 | } | |
0f2d19dd | 1180 | #else |
3b3b36dd | 1181 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1182 | #endif |
f872b822 MD |
1183 | if ((nn = SCM_INUM (n)) < 0) |
1184 | nn = -1 - nn; | |
1185 | for (; nn; nn >>= 4) | |
1186 | c += scm_logtab[15 & nn]; | |
1187 | return SCM_MAKINUM (c); | |
0f2d19dd | 1188 | } |
1bbd0b84 GB |
1189 | #undef FUNC_NAME |
1190 | ||
0f2d19dd | 1191 | |
e4755e5c JB |
1192 | static const char scm_ilentab[] = { |
1193 | 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 | |
1194 | }; | |
1cc91f1b | 1195 | |
a1ec6916 | 1196 | SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0, |
1bbd0b84 | 1197 | (SCM n), |
b380b885 MD |
1198 | "Returns the number of bits neccessary to represent @var{n}.\n\n" |
1199 | "Example:\n" | |
1200 | "@lisp\n" | |
1201 | "(integer-length #b10101010)\n" | |
1202 | " @result{} 8\n" | |
1203 | "(integer-length 0)\n" | |
1204 | " @result{} 0\n" | |
1205 | "(integer-length #b1111)\n" | |
1206 | " @result{} 4\n" | |
1207 | "@end lisp") | |
1bbd0b84 | 1208 | #define FUNC_NAME s_scm_integer_length |
0f2d19dd JB |
1209 | { |
1210 | register unsigned long c = 0; | |
1211 | register long nn; | |
1212 | unsigned int l = 4; | |
1213 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1214 | if (SCM_NINUMP (n)) |
1215 | { | |
1216 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1217 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1218 | if (SCM_BIGSIGN (n)) |
1219 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
1220 | ds = SCM_BDIGITS (n); | |
1221 | d = ds[c = SCM_NUMDIGS (n) - 1]; | |
1222 | for (c *= SCM_BITSPERDIG; d; d >>= 4) | |
1223 | { | |
1224 | c += 4; | |
1225 | l = scm_ilentab[15 & d]; | |
1226 | } | |
1227 | return SCM_MAKINUM (c - 4 + l); | |
1228 | } | |
0f2d19dd | 1229 | #else |
3b3b36dd | 1230 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1231 | #endif |
f872b822 MD |
1232 | if ((nn = SCM_INUM (n)) < 0) |
1233 | nn = -1 - nn; | |
1234 | for (; nn; nn >>= 4) | |
1235 | { | |
1236 | c += 4; | |
1237 | l = scm_ilentab[15 & nn]; | |
1238 | } | |
1239 | return SCM_MAKINUM (c - 4 + l); | |
0f2d19dd | 1240 | } |
1bbd0b84 | 1241 | #undef FUNC_NAME |
0f2d19dd JB |
1242 | |
1243 | ||
1244 | #ifdef SCM_BIGDIG | |
e4755e5c | 1245 | static const char s_bignum[] = "bignum"; |
1cc91f1b | 1246 | |
0f2d19dd | 1247 | SCM |
1bbd0b84 | 1248 | scm_mkbig (scm_sizet nlen, int sign) |
0f2d19dd | 1249 | { |
c209c88e GB |
1250 | SCM v; |
1251 | /* Cast to long int to avoid signed/unsigned comparison warnings. */ | |
1252 | if ((( ((long int)nlen) << 16) >> 16) != (long int) nlen) | |
e4755e5c | 1253 | scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, s_bignum); |
c209c88e | 1254 | |
f872b822 | 1255 | SCM_NEWCELL (v); |
0f2d19dd | 1256 | SCM_DEFER_INTS; |
f872b822 | 1257 | SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)), |
e4755e5c | 1258 | s_bignum)); |
f872b822 | 1259 | SCM_SETNUMDIGS (v, nlen, sign ? scm_tc16_bigneg : scm_tc16_bigpos); |
0f2d19dd JB |
1260 | SCM_ALLOW_INTS; |
1261 | return v; | |
1262 | } | |
1263 | ||
1cc91f1b | 1264 | |
0f2d19dd | 1265 | SCM |
1bbd0b84 | 1266 | scm_big2inum (SCM b, scm_sizet l) |
0f2d19dd JB |
1267 | { |
1268 | unsigned long num = 0; | |
f872b822 MD |
1269 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
1270 | while (l--) | |
1271 | num = SCM_BIGUP (num) + tmp[l]; | |
1272 | if (SCM_TYP16 (b) == scm_tc16_bigpos) | |
1273 | { | |
1274 | if (SCM_POSFIXABLE (num)) | |
1275 | return SCM_MAKINUM (num); | |
1276 | } | |
1277 | else if (SCM_UNEGFIXABLE (num)) | |
1278 | return SCM_MAKINUM (-num); | |
0f2d19dd JB |
1279 | return b; |
1280 | } | |
1281 | ||
1282 | ||
e4755e5c | 1283 | static const char s_adjbig[] = "scm_adjbig"; |
1cc91f1b | 1284 | |
0f2d19dd | 1285 | SCM |
1bbd0b84 | 1286 | scm_adjbig (SCM b, scm_sizet nlen) |
0f2d19dd | 1287 | { |
2bf746cc JB |
1288 | scm_sizet nsiz = nlen; |
1289 | if (((nsiz << 16) >> 16) != nlen) | |
f872b822 | 1290 | scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig); |
2bf746cc | 1291 | |
0f2d19dd | 1292 | SCM_DEFER_INTS; |
2bf746cc JB |
1293 | { |
1294 | SCM_BIGDIG *digits | |
1295 | = ((SCM_BIGDIG *) | |
f872b822 MD |
1296 | scm_must_realloc ((char *) SCM_CHARS (b), |
1297 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), | |
1298 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_adjbig)); | |
2bf746cc JB |
1299 | |
1300 | SCM_SETCHARS (b, digits); | |
f872b822 | 1301 | SCM_SETNUMDIGS (b, nsiz, SCM_TYP16 (b)); |
2bf746cc | 1302 | } |
0f2d19dd JB |
1303 | SCM_ALLOW_INTS; |
1304 | return b; | |
1305 | } | |
1306 | ||
1307 | ||
1cc91f1b | 1308 | |
0f2d19dd | 1309 | SCM |
1bbd0b84 | 1310 | scm_normbig (SCM b) |
0f2d19dd | 1311 | { |
f872b822 MD |
1312 | #ifndef _UNICOS |
1313 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 1314 | #else |
f872b822 | 1315 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 1316 | #endif |
f872b822 MD |
1317 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
1318 | while (nlen-- && !zds[nlen]); | |
1319 | nlen++; | |
1320 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
1321 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
1322 | return b; | |
1323 | if (SCM_NUMDIGS (b) == nlen) | |
1324 | return b; | |
1325 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
1326 | } |
1327 | ||
1328 | ||
1cc91f1b | 1329 | |
0f2d19dd | 1330 | SCM |
1bbd0b84 | 1331 | scm_copybig (SCM b, int sign) |
0f2d19dd | 1332 | { |
f872b822 MD |
1333 | scm_sizet i = SCM_NUMDIGS (b); |
1334 | SCM ans = scm_mkbig (i, sign); | |
1335 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
1336 | while (i--) | |
1337 | dst[i] = src[i]; | |
0f2d19dd JB |
1338 | return ans; |
1339 | } | |
1340 | ||
1341 | ||
1cc91f1b | 1342 | |
0f2d19dd | 1343 | SCM |
1bbd0b84 | 1344 | scm_long2big (long n) |
0f2d19dd JB |
1345 | { |
1346 | scm_sizet i = 0; | |
1347 | SCM_BIGDIG *digits; | |
f872b822 MD |
1348 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
1349 | digits = SCM_BDIGITS (ans); | |
1350 | if (n < 0) | |
1351 | n = -n; | |
1352 | while (i < SCM_DIGSPERLONG) | |
1353 | { | |
1354 | digits[i++] = SCM_BIGLO (n); | |
1355 | n = SCM_BIGDN ((unsigned long) n); | |
1356 | } | |
0f2d19dd JB |
1357 | return ans; |
1358 | } | |
1359 | ||
5c11cc9d | 1360 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 1361 | |
0f2d19dd | 1362 | SCM |
1bbd0b84 | 1363 | scm_long_long2big (long_long n) |
0f2d19dd JB |
1364 | { |
1365 | scm_sizet i; | |
1366 | SCM_BIGDIG *digits; | |
1367 | SCM ans; | |
1368 | int n_digits; | |
1369 | ||
1370 | { | |
1371 | long tn; | |
1372 | tn = (long) n; | |
f872b822 | 1373 | if ((long long) tn == n) |
0f2d19dd JB |
1374 | return scm_long2big (tn); |
1375 | } | |
1376 | ||
1377 | { | |
1378 | long_long tn; | |
1379 | ||
1380 | for (tn = n, n_digits = 0; | |
1381 | tn; | |
f872b822 | 1382 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
1383 | ; |
1384 | } | |
1385 | ||
1386 | i = 0; | |
f872b822 MD |
1387 | ans = scm_mkbig (n_digits, n < 0); |
1388 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1389 | if (n < 0) |
1390 | n = -n; | |
f872b822 MD |
1391 | while (i < n_digits) |
1392 | { | |
1393 | digits[i++] = SCM_BIGLO (n); | |
1394 | n = SCM_BIGDN ((ulong_long) n); | |
1395 | } | |
0f2d19dd JB |
1396 | return ans; |
1397 | } | |
1398 | #endif | |
1399 | ||
1cc91f1b | 1400 | |
0f2d19dd | 1401 | SCM |
1bbd0b84 | 1402 | scm_2ulong2big (unsigned long *np) |
0f2d19dd JB |
1403 | { |
1404 | unsigned long n; | |
1405 | scm_sizet i; | |
1406 | SCM_BIGDIG *digits; | |
1407 | SCM ans; | |
1408 | ||
f872b822 MD |
1409 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1410 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1411 | |
1412 | n = np[0]; | |
1413 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1414 | { | |
f872b822 MD |
1415 | digits[i] = SCM_BIGLO (n); |
1416 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1417 | } |
1418 | n = np[1]; | |
1419 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1420 | { | |
f872b822 MD |
1421 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1422 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1423 | } |
1424 | return ans; | |
1425 | } | |
1426 | ||
1427 | ||
1cc91f1b | 1428 | |
0f2d19dd | 1429 | SCM |
1bbd0b84 | 1430 | scm_ulong2big (unsigned long n) |
0f2d19dd JB |
1431 | { |
1432 | scm_sizet i = 0; | |
1433 | SCM_BIGDIG *digits; | |
f872b822 MD |
1434 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1435 | digits = SCM_BDIGITS (ans); | |
1436 | while (i < SCM_DIGSPERLONG) | |
1437 | { | |
1438 | digits[i++] = SCM_BIGLO (n); | |
1439 | n = SCM_BIGDN (n); | |
1440 | } | |
0f2d19dd JB |
1441 | return ans; |
1442 | } | |
1443 | ||
1444 | ||
1cc91f1b | 1445 | |
0f2d19dd | 1446 | int |
1bbd0b84 | 1447 | scm_bigcomp (SCM x, SCM y) |
0f2d19dd | 1448 | { |
f872b822 MD |
1449 | int xsign = SCM_BIGSIGN (x); |
1450 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1451 | scm_sizet xlen, ylen; |
2bf746cc JB |
1452 | |
1453 | /* Look at the signs, first. */ | |
f872b822 MD |
1454 | if (ysign < xsign) |
1455 | return 1; | |
1456 | if (ysign > xsign) | |
1457 | return -1; | |
2bf746cc JB |
1458 | |
1459 | /* They're the same sign, so see which one has more digits. Note | |
1460 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1461 | ylen = SCM_NUMDIGS (y); |
1462 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1463 | if (ylen > xlen) |
1464 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1465 | if (ylen < xlen) |
1466 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1467 | |
1468 | /* They have the same number of digits, so find the most significant | |
1469 | digit where they differ. */ | |
1470 | while (xlen) | |
1471 | { | |
1472 | --xlen; | |
1473 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1474 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1475 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1476 | ? (xsign ? -1 : 1) | |
1477 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1478 | } |
1479 | ||
1480 | /* The numbers are identical. */ | |
1481 | return 0; | |
0f2d19dd JB |
1482 | } |
1483 | ||
1484 | #ifndef SCM_DIGSTOOBIG | |
1485 | ||
1cc91f1b | 1486 | |
0f2d19dd | 1487 | long |
1bbd0b84 | 1488 | scm_pseudolong (long x) |
0f2d19dd | 1489 | { |
f872b822 MD |
1490 | union |
1491 | { | |
0f2d19dd JB |
1492 | long l; |
1493 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1494 | } |
1495 | p; | |
0f2d19dd | 1496 | scm_sizet i = 0; |
f872b822 MD |
1497 | if (x < 0) |
1498 | x = -x; | |
1499 | while (i < SCM_DIGSPERLONG) | |
1500 | { | |
1501 | p.bd[i++] = SCM_BIGLO (x); | |
1502 | x = SCM_BIGDN (x); | |
1503 | } | |
0f2d19dd JB |
1504 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1505 | return p.l; | |
1506 | } | |
1507 | ||
1508 | #else | |
1509 | ||
1cc91f1b | 1510 | |
0f2d19dd | 1511 | void |
1bbd0b84 | 1512 | scm_longdigs (long x, SCM_BIGDIG digs[]) |
0f2d19dd JB |
1513 | { |
1514 | scm_sizet i = 0; | |
f872b822 MD |
1515 | if (x < 0) |
1516 | x = -x; | |
1517 | while (i < SCM_DIGSPERLONG) | |
1518 | { | |
1519 | digs[i++] = SCM_BIGLO (x); | |
1520 | x = SCM_BIGDN (x); | |
1521 | } | |
0f2d19dd JB |
1522 | } |
1523 | #endif | |
1524 | ||
1525 | ||
1cc91f1b | 1526 | |
0f2d19dd | 1527 | SCM |
1bbd0b84 | 1528 | scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) |
0f2d19dd JB |
1529 | { |
1530 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
1531 | /* Assumes xsgn and sgny scm_equal either 0 or 0x0100 */ | |
1532 | long num = 0; | |
f872b822 MD |
1533 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1534 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1535 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1536 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1537 | { | |
1538 | do | |
1539 | { | |
1540 | num += (long) zds[i] - x[i]; | |
1541 | if (num < 0) | |
1542 | { | |
1543 | zds[i] = num + SCM_BIGRAD; | |
1544 | num = -1; | |
1545 | } | |
1546 | else | |
1547 | { | |
1548 | zds[i] = SCM_BIGLO (num); | |
1549 | num = 0; | |
1550 | } | |
1551 | } | |
1552 | while (++i < nx); | |
1553 | if (num && nx == ny) | |
1554 | { | |
1555 | num = 1; | |
1556 | i = 0; | |
f1267706 | 1557 | SCM_SETCAR (z, SCM_UNPACK_CAR (z) ^ 0x0100); |
f872b822 MD |
1558 | do |
1559 | { | |
1560 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1561 | zds[i++] = SCM_BIGLO (num); | |
1562 | num = SCM_BIGDN (num); | |
1563 | } | |
1564 | while (i < ny); | |
1565 | } | |
1566 | else | |
1567 | while (i < ny) | |
1568 | { | |
1569 | num += zds[i]; | |
1570 | if (num < 0) | |
1571 | { | |
1572 | zds[i++] = num + SCM_BIGRAD; | |
1573 | num = -1; | |
1574 | } | |
1575 | else | |
1576 | { | |
1577 | zds[i++] = SCM_BIGLO (num); | |
1578 | num = 0; | |
1579 | } | |
1580 | } | |
1581 | } | |
1582 | else | |
1583 | { | |
1584 | do | |
1585 | { | |
1586 | num += (long) zds[i] + x[i]; | |
1587 | zds[i++] = SCM_BIGLO (num); | |
1588 | num = SCM_BIGDN (num); | |
1589 | } | |
1590 | while (i < nx); | |
1591 | if (!num) | |
1592 | return z; | |
1593 | while (i < ny) | |
1594 | { | |
1595 | num += zds[i]; | |
1596 | zds[i++] = SCM_BIGLO (num); | |
1597 | num = SCM_BIGDN (num); | |
1598 | if (!num) | |
1599 | return z; | |
1600 | } | |
1601 | if (num) | |
1602 | { | |
1603 | z = scm_adjbig (z, ny + 1); | |
1604 | SCM_BDIGITS (z)[ny] = num; | |
1605 | return z; | |
1606 | } | |
1607 | } | |
1608 | return scm_normbig (z); | |
0f2d19dd JB |
1609 | } |
1610 | ||
1cc91f1b | 1611 | |
0f2d19dd | 1612 | SCM |
1bbd0b84 | 1613 | scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) |
0f2d19dd JB |
1614 | { |
1615 | scm_sizet i = 0, j = nx + ny; | |
1616 | unsigned long n = 0; | |
f872b822 MD |
1617 | SCM z = scm_mkbig (j, sgn); |
1618 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1619 | while (j--) | |
1620 | zds[j] = 0; | |
1621 | do | |
1622 | { | |
1623 | j = 0; | |
1624 | if (x[i]) | |
1625 | { | |
1626 | do | |
1627 | { | |
1628 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1629 | zds[i + j++] = SCM_BIGLO (n); | |
1630 | n = SCM_BIGDN (n); | |
1631 | } | |
1632 | while (j < ny); | |
1633 | if (n) | |
1634 | { | |
1635 | zds[i + j] = n; | |
1636 | n = 0; | |
1637 | } | |
1638 | } | |
0f2d19dd | 1639 | } |
f872b822 MD |
1640 | while (++i < nx); |
1641 | return scm_normbig (z); | |
0f2d19dd JB |
1642 | } |
1643 | ||
1cc91f1b | 1644 | |
805df3e8 JB |
1645 | /* Sun's compiler complains about the fact that this function has an |
1646 | ANSI prototype in numbers.h, but a K&R declaration here, and the | |
1647 | two specify different promotions for the third argument. I'm going | |
1648 | to turn this into an ANSI declaration, and see if anyone complains | |
1649 | about it not being K&R. */ | |
1650 | ||
0f2d19dd | 1651 | unsigned int |
f872b822 MD |
1652 | scm_divbigdig (SCM_BIGDIG * ds, |
1653 | scm_sizet h, | |
1654 | SCM_BIGDIG div) | |
0f2d19dd JB |
1655 | { |
1656 | register unsigned long t2 = 0; | |
f872b822 MD |
1657 | while (h--) |
1658 | { | |
1659 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1660 | ds[h] = t2 / div; | |
1661 | t2 %= div; | |
1662 | } | |
0f2d19dd JB |
1663 | return t2; |
1664 | } | |
1665 | ||
1666 | ||
1cc91f1b | 1667 | |
0f2d19dd | 1668 | SCM |
1bbd0b84 | 1669 | scm_divbigint (SCM x, long z, int sgn, int mode) |
0f2d19dd | 1670 | { |
f872b822 MD |
1671 | if (z < 0) |
1672 | z = -z; | |
1673 | if (z < SCM_BIGRAD) | |
1674 | { | |
1675 | register unsigned long t2 = 0; | |
1676 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1677 | scm_sizet nd = SCM_NUMDIGS (x); | |
1678 | while (nd--) | |
1679 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1680 | if (mode && t2) | |
1681 | t2 = z - t2; | |
1682 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1683 | } | |
0f2d19dd JB |
1684 | { |
1685 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1686 | unsigned long t2 = scm_pseudolong (z); |
1687 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1688 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1689 | sgn, mode); | |
0f2d19dd JB |
1690 | #else |
1691 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1692 | scm_longdigs (z, t2); |
1693 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1694 | t2, SCM_DIGSPERLONG, | |
1695 | sgn, mode); | |
0f2d19dd JB |
1696 | #endif |
1697 | } | |
1698 | } | |
1699 | ||
1cc91f1b | 1700 | |
0f2d19dd | 1701 | SCM |
1bbd0b84 | 1702 | scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) |
0f2d19dd JB |
1703 | { |
1704 | /* modes description | |
f872b822 MD |
1705 | 0 remainder |
1706 | 1 scm_modulo | |
1707 | 2 quotient | |
1708 | 3 quotient but returns 0 if division is not exact. */ | |
0f2d19dd JB |
1709 | scm_sizet i = 0, j = 0; |
1710 | long num = 0; | |
1711 | unsigned long t2 = 0; | |
1712 | SCM z, newy; | |
f872b822 | 1713 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1714 | /* algorithm requires nx >= ny */ |
1715 | if (nx < ny) | |
f872b822 MD |
1716 | switch (modes) |
1717 | { | |
1718 | case 0: /* remainder -- just return x */ | |
1719 | z = scm_mkbig (nx, sgn); | |
1720 | zds = SCM_BDIGITS (z); | |
1721 | do | |
1722 | { | |
1723 | zds[i] = x[i]; | |
1724 | } | |
1725 | while (++i < nx); | |
1726 | return z; | |
1727 | case 1: /* scm_modulo -- return y-x */ | |
1728 | z = scm_mkbig (ny, sgn); | |
1729 | zds = SCM_BDIGITS (z); | |
1730 | do | |
1731 | { | |
1732 | num += (long) y[i] - x[i]; | |
1733 | if (num < 0) | |
1734 | { | |
1735 | zds[i] = num + SCM_BIGRAD; | |
1736 | num = -1; | |
1737 | } | |
1738 | else | |
1739 | { | |
1740 | zds[i] = num; | |
1741 | num = 0; | |
1742 | } | |
1743 | } | |
1744 | while (++i < nx); | |
1745 | while (i < ny) | |
1746 | { | |
1747 | num += y[i]; | |
1748 | if (num < 0) | |
1749 | { | |
1750 | zds[i++] = num + SCM_BIGRAD; | |
1751 | num = -1; | |
1752 | } | |
1753 | else | |
1754 | { | |
1755 | zds[i++] = num; | |
1756 | num = 0; | |
1757 | } | |
1758 | } | |
1759 | goto doadj; | |
1760 | case 2: | |
1761 | return SCM_INUM0; /* quotient is zero */ | |
1762 | case 3: | |
1763 | return 0; /* the division is not exact */ | |
0f2d19dd | 1764 | } |
f872b822 MD |
1765 | |
1766 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1767 | zds = SCM_BDIGITS (z); | |
1768 | if (nx == ny) | |
1769 | zds[nx + 1] = 0; | |
1770 | while (!y[ny - 1]) | |
1771 | ny--; /* in case y came in as a psuedolong */ | |
1772 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1773 | { /* normalize operands */ | |
1774 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1775 | newy = scm_mkbig (ny, 0); | |
1776 | yds = SCM_BDIGITS (newy); | |
1777 | while (j < ny) | |
1778 | { | |
1779 | t2 += (unsigned long) y[j] * d; | |
1780 | yds[j++] = SCM_BIGLO (t2); | |
1781 | t2 = SCM_BIGDN (t2); | |
1782 | } | |
1783 | y = yds; | |
1784 | j = 0; | |
1785 | t2 = 0; | |
1786 | while (j < nx) | |
1787 | { | |
1788 | t2 += (unsigned long) x[j] * d; | |
1789 | zds[j++] = SCM_BIGLO (t2); | |
1790 | t2 = SCM_BIGDN (t2); | |
1791 | } | |
1792 | zds[j] = t2; | |
1793 | } | |
1794 | else | |
1795 | { | |
1796 | zds[j = nx] = 0; | |
1797 | while (j--) | |
1798 | zds[j] = x[j]; | |
1799 | } | |
1800 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1801 | do | |
1802 | { /* loop over digits of quotient */ | |
1803 | if (zds[j] == y[ny - 1]) | |
1804 | qhat = SCM_BIGRAD - 1; | |
1805 | else | |
1806 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1807 | if (!qhat) | |
1808 | continue; | |
1809 | i = 0; | |
1810 | num = 0; | |
1811 | t2 = 0; | |
1812 | do | |
1813 | { /* multiply and subtract */ | |
1814 | t2 += (unsigned long) y[i] * qhat; | |
1815 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1816 | if (num < 0) | |
1817 | { | |
1818 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1819 | num = -1; | |
1820 | } | |
1821 | else | |
1822 | { | |
1823 | zds[j - ny + i] = num; | |
1824 | num = 0; | |
1825 | } | |
1826 | t2 = SCM_BIGDN (t2); | |
1827 | } | |
1828 | while (++i < ny); | |
1829 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1830 | while (num) | |
1831 | { /* "add back" required */ | |
1832 | i = 0; | |
1833 | num = 0; | |
1834 | qhat--; | |
1835 | do | |
1836 | { | |
1837 | num += (long) zds[j - ny + i] + y[i]; | |
1838 | zds[j - ny + i] = SCM_BIGLO (num); | |
1839 | num = SCM_BIGDN (num); | |
1840 | } | |
1841 | while (++i < ny); | |
1842 | num--; | |
1843 | } | |
1844 | if (modes & 2) | |
1845 | zds[j] = qhat; | |
1846 | } | |
1847 | while (--j >= ny); | |
1848 | switch (modes) | |
1849 | { | |
1850 | case 3: /* check that remainder==0 */ | |
1851 | for (j = ny; j && !zds[j - 1]; --j); | |
1852 | if (j) | |
1853 | return 0; | |
1854 | case 2: /* move quotient down in z */ | |
1855 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1856 | for (i = 0; i < j; i++) | |
1857 | zds[i] = zds[i + ny]; | |
1858 | ny = i; | |
1859 | break; | |
1860 | case 1: /* subtract for scm_modulo */ | |
1861 | i = 0; | |
1862 | num = 0; | |
1863 | j = 0; | |
1864 | do | |
1865 | { | |
1866 | num += y[i] - zds[i]; | |
1867 | j = j | zds[i]; | |
1868 | if (num < 0) | |
1869 | { | |
1870 | zds[i] = num + SCM_BIGRAD; | |
1871 | num = -1; | |
1872 | } | |
1873 | else | |
1874 | { | |
1875 | zds[i] = num; | |
1876 | num = 0; | |
1877 | } | |
1878 | } | |
1879 | while (++i < ny); | |
1880 | if (!j) | |
1881 | return SCM_INUM0; | |
1882 | case 0: /* just normalize remainder */ | |
1883 | if (d) | |
1884 | scm_divbigdig (zds, ny, d); | |
1885 | } | |
0f2d19dd | 1886 | doadj: |
f872b822 MD |
1887 | for (j = ny; j && !zds[j - 1]; --j); |
1888 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1889 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
1890 | return z; | |
1891 | return scm_adjbig (z, j); | |
0f2d19dd JB |
1892 | } |
1893 | #endif | |
f872b822 | 1894 | \f |
0f2d19dd JB |
1895 | |
1896 | ||
1897 | ||
0f2d19dd JB |
1898 | |
1899 | /*** NUMBERS -> STRINGS ***/ | |
1900 | #ifdef SCM_FLOATS | |
1901 | int scm_dblprec; | |
e4755e5c | 1902 | static const double fx[] = |
f872b822 MD |
1903 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, |
1904 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
1905 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
1906 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
1907 | |
1908 | ||
1909 | ||
1cc91f1b | 1910 | |
0f2d19dd | 1911 | static scm_sizet |
1bbd0b84 | 1912 | idbl2str (double f, char *a) |
0f2d19dd JB |
1913 | { |
1914 | int efmt, dpt, d, i, wp = scm_dblprec; | |
1915 | scm_sizet ch = 0; | |
1916 | int exp = 0; | |
1917 | ||
f872b822 MD |
1918 | if (f == 0.0) |
1919 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
1920 | if (f < 0.0) | |
1921 | { | |
1922 | f = -f; | |
1923 | a[ch++] = '-'; | |
1924 | } | |
1925 | else if (f > 0.0); | |
1926 | else | |
1927 | goto funny; | |
1928 | if (IS_INF (f)) | |
1929 | { | |
1930 | if (ch == 0) | |
1931 | a[ch++] = '+'; | |
1932 | funny: | |
1933 | a[ch++] = '#'; | |
1934 | a[ch++] = '.'; | |
1935 | a[ch++] = '#'; | |
1936 | return ch; | |
1937 | } | |
1938 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
1939 | make-uniform-vector, from causing infinite loops. */ | |
1940 | while (f < 1.0) | |
1941 | { | |
1942 | f *= 10.0; | |
1943 | if (exp-- < DBL_MIN_10_EXP) | |
1944 | goto funny; | |
1945 | } | |
1946 | while (f > 10.0) | |
1947 | { | |
1948 | f *= 0.10; | |
1949 | if (exp++ > DBL_MAX_10_EXP) | |
1950 | goto funny; | |
1951 | } | |
1952 | #else | |
1953 | while (f < 1.0) | |
1954 | { | |
1955 | f *= 10.0; | |
1956 | exp--; | |
1957 | } | |
1958 | while (f > 10.0) | |
1959 | { | |
1960 | f /= 10.0; | |
1961 | exp++; | |
1962 | } | |
1963 | #endif | |
1964 | if (f + fx[wp] >= 10.0) | |
1965 | { | |
1966 | f = 1.0; | |
1967 | exp++; | |
1968 | } | |
0f2d19dd | 1969 | zero: |
f872b822 MD |
1970 | #ifdef ENGNOT |
1971 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
1972 | exp -= dpt++; |
1973 | efmt = 1; | |
f872b822 MD |
1974 | #else |
1975 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 1976 | if (!efmt) |
cda139a7 MD |
1977 | { |
1978 | if (exp < 0) | |
1979 | { | |
1980 | a[ch++] = '0'; | |
1981 | a[ch++] = '.'; | |
1982 | dpt = exp; | |
f872b822 MD |
1983 | while (++dpt) |
1984 | a[ch++] = '0'; | |
cda139a7 MD |
1985 | } |
1986 | else | |
f872b822 | 1987 | dpt = exp + 1; |
cda139a7 | 1988 | } |
0f2d19dd JB |
1989 | else |
1990 | dpt = 1; | |
f872b822 MD |
1991 | #endif |
1992 | ||
1993 | do | |
1994 | { | |
1995 | d = f; | |
1996 | f -= d; | |
1997 | a[ch++] = d + '0'; | |
1998 | if (f < fx[wp]) | |
1999 | break; | |
2000 | if (f + fx[wp] >= 1.0) | |
2001 | { | |
2002 | a[ch - 1]++; | |
2003 | break; | |
2004 | } | |
2005 | f *= 10.0; | |
2006 | if (!(--dpt)) | |
2007 | a[ch++] = '.'; | |
0f2d19dd | 2008 | } |
f872b822 | 2009 | while (wp--); |
0f2d19dd JB |
2010 | |
2011 | if (dpt > 0) | |
cda139a7 | 2012 | { |
f872b822 | 2013 | #ifndef ENGNOT |
cda139a7 MD |
2014 | if ((dpt > 4) && (exp > 6)) |
2015 | { | |
f872b822 | 2016 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 2017 | for (i = ch++; i > d; i--) |
f872b822 | 2018 | a[i] = a[i - 1]; |
cda139a7 MD |
2019 | a[d] = '.'; |
2020 | efmt = 1; | |
2021 | } | |
2022 | else | |
f872b822 | 2023 | #endif |
cda139a7 | 2024 | { |
f872b822 MD |
2025 | while (--dpt) |
2026 | a[ch++] = '0'; | |
cda139a7 MD |
2027 | a[ch++] = '.'; |
2028 | } | |
2029 | } | |
f872b822 MD |
2030 | if (a[ch - 1] == '.') |
2031 | a[ch++] = '0'; /* trailing zero */ | |
2032 | if (efmt && exp) | |
2033 | { | |
2034 | a[ch++] = 'e'; | |
2035 | if (exp < 0) | |
2036 | { | |
2037 | exp = -exp; | |
2038 | a[ch++] = '-'; | |
2039 | } | |
2040 | for (i = 10; i <= exp; i *= 10); | |
2041 | for (i /= 10; i; i /= 10) | |
2042 | { | |
2043 | a[ch++] = exp / i + '0'; | |
2044 | exp %= i; | |
2045 | } | |
0f2d19dd | 2046 | } |
0f2d19dd JB |
2047 | return ch; |
2048 | } | |
2049 | ||
1cc91f1b | 2050 | |
0f2d19dd | 2051 | static scm_sizet |
1bbd0b84 | 2052 | iflo2str (SCM flt, char *str) |
0f2d19dd JB |
2053 | { |
2054 | scm_sizet i; | |
f872b822 MD |
2055 | #ifdef SCM_SINGLES |
2056 | if (SCM_SINGP (flt)) | |
2057 | i = idbl2str (SCM_FLO (flt), str); | |
0f2d19dd | 2058 | else |
f872b822 MD |
2059 | #endif |
2060 | i = idbl2str (SCM_REAL (flt), str); | |
2061 | if (SCM_CPLXP (flt)) | |
2062 | { | |
2063 | if (0 <= SCM_IMAG (flt)) /* jeh */ | |
2064 | str[i++] = '+'; /* jeh */ | |
2065 | i += idbl2str (SCM_IMAG (flt), &str[i]); | |
2066 | str[i++] = 'i'; | |
2067 | } | |
0f2d19dd JB |
2068 | return i; |
2069 | } | |
f872b822 | 2070 | #endif /* SCM_FLOATS */ |
0f2d19dd | 2071 | |
5c11cc9d | 2072 | /* convert a long to a string (unterminated). returns the number of |
1bbd0b84 GB |
2073 | characters in the result. |
2074 | rad is output base | |
2075 | p is destination: worst case (base 2) is SCM_INTBUFLEN */ | |
0f2d19dd | 2076 | scm_sizet |
1bbd0b84 | 2077 | scm_iint2str (long num, int rad, char *p) |
0f2d19dd | 2078 | { |
5c11cc9d GH |
2079 | scm_sizet j = 1; |
2080 | scm_sizet i; | |
2081 | unsigned long n = (num < 0) ? -num : num; | |
2082 | ||
f872b822 | 2083 | for (n /= rad; n > 0; n /= rad) |
5c11cc9d GH |
2084 | j++; |
2085 | ||
2086 | i = j; | |
2087 | if (num < 0) | |
f872b822 | 2088 | { |
f872b822 | 2089 | *p++ = '-'; |
5c11cc9d GH |
2090 | j++; |
2091 | n = -num; | |
f872b822 | 2092 | } |
5c11cc9d GH |
2093 | else |
2094 | n = num; | |
f872b822 MD |
2095 | while (i--) |
2096 | { | |
5c11cc9d GH |
2097 | int d = n % rad; |
2098 | ||
f872b822 MD |
2099 | n /= rad; |
2100 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
2101 | } | |
0f2d19dd JB |
2102 | return j; |
2103 | } | |
2104 | ||
2105 | ||
2106 | #ifdef SCM_BIGDIG | |
1cc91f1b | 2107 | |
0f2d19dd | 2108 | static SCM |
1bbd0b84 | 2109 | big2str (SCM b, unsigned int radix) |
0f2d19dd | 2110 | { |
f872b822 MD |
2111 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
2112 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
2113 | scm_sizet i = SCM_NUMDIGS (t); | |
2114 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
2115 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
2116 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
2117 | scm_sizet k = 0; |
2118 | scm_sizet radct = 0; | |
2119 | scm_sizet ch; /* jeh */ | |
2120 | SCM_BIGDIG radpow = 1, radmod = 0; | |
f872b822 MD |
2121 | SCM ss = scm_makstr ((long) j, 0); |
2122 | char *s = SCM_CHARS (ss), c; | |
2123 | while ((long) radpow * radix < SCM_BIGRAD) | |
2124 | { | |
2125 | radpow *= radix; | |
2126 | radct++; | |
2127 | } | |
2128 | s[0] = scm_tc16_bigneg == SCM_TYP16 (b) ? '-' : '+'; | |
2129 | while ((i || radmod) && j) | |
2130 | { | |
2131 | if (k == 0) | |
2132 | { | |
2133 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
2134 | k = radct; | |
2135 | if (!ds[i - 1]) | |
2136 | i--; | |
2137 | } | |
2138 | c = radmod % radix; | |
2139 | radmod /= radix; | |
2140 | k--; | |
2141 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
2142 | } | |
0f2d19dd | 2143 | ch = s[0] == '-' ? 1 : 0; /* jeh */ |
f872b822 MD |
2144 | if (ch < j) |
2145 | { /* jeh */ | |
2146 | for (i = j; j < SCM_LENGTH (ss); j++) | |
2147 | s[ch + j - i] = s[j]; /* jeh */ | |
2148 | scm_vector_set_length_x (ss, /* jeh */ | |
2149 | (SCM) SCM_MAKINUM (ch + SCM_LENGTH (ss) - i)); | |
2150 | } | |
b098016b JB |
2151 | |
2152 | return scm_return_first (ss, t); | |
0f2d19dd JB |
2153 | } |
2154 | #endif | |
2155 | ||
2156 | ||
a1ec6916 | 2157 | SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0, |
1bbd0b84 | 2158 | (SCM x, SCM radix), |
b380b885 | 2159 | "") |
1bbd0b84 | 2160 | #define FUNC_NAME s_scm_number_to_string |
0f2d19dd | 2161 | { |
1bbd0b84 | 2162 | int base; |
3b3b36dd | 2163 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); |
0f2d19dd | 2164 | #ifdef SCM_FLOATS |
f872b822 MD |
2165 | if (SCM_NINUMP (x)) |
2166 | { | |
2167 | char num_buf[SCM_FLOBUFLEN]; | |
2168 | #ifdef SCM_BIGDIG | |
2169 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
2170 | if (SCM_BIGP (x)) | |
1bbd0b84 | 2171 | return big2str (x, (unsigned int) base); |
f872b822 | 2172 | #ifndef SCM_RECKLESS |
0c95b57d | 2173 | if (!SCM_INEXP (x)) |
f872b822 MD |
2174 | { |
2175 | badx: | |
4638e087 | 2176 | SCM_WTA (1, x); |
f872b822 MD |
2177 | } |
2178 | #endif | |
0f2d19dd | 2179 | #else |
0c95b57d | 2180 | SCM_ASSERT (SCM_INEXP (x), |
f872b822 | 2181 | x, SCM_ARG1, s_number_to_string); |
0f2d19dd | 2182 | #endif |
f872b822 MD |
2183 | return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0); |
2184 | } | |
2185 | #else | |
2186 | #ifdef SCM_BIGDIG | |
2187 | if (SCM_NINUMP (x)) | |
2188 | { | |
0c95b57d | 2189 | SCM_ASSERT (SCM_BIGP (x), |
f872b822 | 2190 | x, SCM_ARG1, s_number_to_string); |
1bbd0b84 | 2191 | return big2str (x, (unsigned int) base); |
f872b822 MD |
2192 | } |
2193 | #else | |
2194 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_number_to_string); | |
2195 | #endif | |
2196 | #endif | |
2197 | { | |
2198 | char num_buf[SCM_INTBUFLEN]; | |
2199 | return scm_makfromstr (num_buf, | |
2200 | scm_iint2str (SCM_INUM (x), | |
1bbd0b84 | 2201 | base, |
f872b822 MD |
2202 | num_buf), |
2203 | 0); | |
0f2d19dd JB |
2204 | } |
2205 | } | |
1bbd0b84 | 2206 | #undef FUNC_NAME |
0f2d19dd JB |
2207 | |
2208 | ||
2209 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
2210 | SCM_FLOATS or SCM_BIGDIGs conditionals */ | |
1cc91f1b | 2211 | |
0f2d19dd | 2212 | int |
1bbd0b84 | 2213 | scm_floprint (SCM sexp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2214 | { |
2215 | #ifdef SCM_FLOATS | |
2216 | char num_buf[SCM_FLOBUFLEN]; | |
f872b822 | 2217 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd | 2218 | #else |
f872b822 | 2219 | scm_ipruk ("float", sexp, port); |
0f2d19dd JB |
2220 | #endif |
2221 | return !0; | |
2222 | } | |
2223 | ||
2224 | ||
1cc91f1b | 2225 | |
0f2d19dd | 2226 | int |
1bbd0b84 | 2227 | scm_bigprint (SCM exp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2228 | { |
2229 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2230 | exp = big2str (exp, (unsigned int) 10); |
2231 | scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port); | |
0f2d19dd | 2232 | #else |
f872b822 | 2233 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
2234 | #endif |
2235 | return !0; | |
2236 | } | |
2237 | /*** END nums->strs ***/ | |
2238 | ||
2239 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee JB |
2240 | |
2241 | static SCM | |
1bbd0b84 | 2242 | scm_small_istr2int (char *str, long len, long radix) |
2a8fecee JB |
2243 | { |
2244 | register long n = 0, ln; | |
2245 | register int c; | |
2246 | register int i = 0; | |
2247 | int lead_neg = 0; | |
f872b822 MD |
2248 | if (0 >= len) |
2249 | return SCM_BOOL_F; /* zero scm_length */ | |
2250 | switch (*str) | |
2251 | { /* leading sign */ | |
2252 | case '-': | |
2253 | lead_neg = 1; | |
2254 | case '+': | |
2255 | if (++i == len) | |
2256 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2257 | } | |
2a8fecee | 2258 | |
f872b822 MD |
2259 | do |
2260 | { | |
2261 | switch (c = str[i++]) | |
2262 | { | |
2263 | case DIGITS: | |
2264 | c = c - '0'; | |
2265 | goto accumulate; | |
2266 | case 'A': | |
2267 | case 'B': | |
2268 | case 'C': | |
2269 | case 'D': | |
2270 | case 'E': | |
2271 | case 'F': | |
2272 | c = c - 'A' + 10; | |
2273 | goto accumulate; | |
2274 | case 'a': | |
2275 | case 'b': | |
2276 | case 'c': | |
2277 | case 'd': | |
2278 | case 'e': | |
2279 | case 'f': | |
2280 | c = c - 'a' + 10; | |
2281 | accumulate: | |
2282 | if (c >= radix) | |
2283 | return SCM_BOOL_F; /* bad digit for radix */ | |
2284 | ln = n; | |
2285 | n = n * radix - c; | |
2286 | /* Negation is a workaround for HP700 cc bug */ | |
2287 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
2288 | goto ovfl; | |
2289 | break; | |
2290 | default: | |
2291 | return SCM_BOOL_F; /* not a digit */ | |
2292 | } | |
2a8fecee | 2293 | } |
f872b822 MD |
2294 | while (i < len); |
2295 | if (!lead_neg) | |
2296 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
2297 | goto ovfl; | |
2298 | return SCM_MAKINUM (n); | |
2a8fecee JB |
2299 | ovfl: /* overflow scheme integer */ |
2300 | return SCM_BOOL_F; | |
2301 | } | |
2302 | ||
2303 | ||
1cc91f1b | 2304 | |
0f2d19dd | 2305 | SCM |
1bbd0b84 | 2306 | scm_istr2int (char *str, long len, long radix) |
0f2d19dd JB |
2307 | { |
2308 | scm_sizet j; | |
2309 | register scm_sizet k, blen = 1; | |
2310 | scm_sizet i = 0; | |
2311 | int c; | |
2312 | SCM res; | |
2313 | register SCM_BIGDIG *ds; | |
2314 | register unsigned long t2; | |
2315 | ||
f872b822 MD |
2316 | if (0 >= len) |
2317 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
2318 | |
2319 | /* Short numbers we parse directly into an int, to avoid the overhead | |
2320 | of creating a bignum. */ | |
2321 | if (len < 6) | |
2322 | return scm_small_istr2int (str, len, radix); | |
2323 | ||
f872b822 MD |
2324 | if (16 == radix) |
2325 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 2326 | else if (10 <= radix) |
f872b822 MD |
2327 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
2328 | else | |
2329 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
2330 | switch (str[0]) | |
2331 | { /* leading sign */ | |
2332 | case '-': | |
2333 | case '+': | |
2334 | if (++i == (unsigned) len) | |
2335 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2336 | } | |
2337 | res = scm_mkbig (j, '-' == str[0]); | |
2338 | ds = SCM_BDIGITS (res); | |
2339 | for (k = j; k--;) | |
2340 | ds[k] = 0; | |
2341 | do | |
2342 | { | |
2343 | switch (c = str[i++]) | |
2344 | { | |
2345 | case DIGITS: | |
2346 | c = c - '0'; | |
2347 | goto accumulate; | |
2348 | case 'A': | |
2349 | case 'B': | |
2350 | case 'C': | |
2351 | case 'D': | |
2352 | case 'E': | |
2353 | case 'F': | |
2354 | c = c - 'A' + 10; | |
2355 | goto accumulate; | |
2356 | case 'a': | |
2357 | case 'b': | |
2358 | case 'c': | |
2359 | case 'd': | |
2360 | case 'e': | |
2361 | case 'f': | |
2362 | c = c - 'a' + 10; | |
2363 | accumulate: | |
2364 | if (c >= radix) | |
2365 | return SCM_BOOL_F; /* bad digit for radix */ | |
2366 | k = 0; | |
2367 | t2 = c; | |
2368 | moretodo: | |
2369 | while (k < blen) | |
2370 | { | |
2371 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2372 | t2 += ds[k] * radix; | |
2373 | ds[k++] = SCM_BIGLO (t2); | |
2374 | t2 = SCM_BIGDN (t2); | |
2375 | } | |
2376 | if (blen > j) | |
2377 | scm_num_overflow ("bignum"); | |
2378 | if (t2) | |
2379 | { | |
2380 | blen++; | |
2381 | goto moretodo; | |
2382 | } | |
2383 | break; | |
2384 | default: | |
2385 | return SCM_BOOL_F; /* not a digit */ | |
2386 | } | |
0f2d19dd | 2387 | } |
f872b822 MD |
2388 | while (i < (unsigned) len); |
2389 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2390 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2391 | return res; | |
2392 | if (j == blen) | |
2393 | return res; | |
2394 | return scm_adjbig (res, blen); | |
0f2d19dd | 2395 | } |
0f2d19dd JB |
2396 | |
2397 | #ifdef SCM_FLOATS | |
1cc91f1b | 2398 | |
0f2d19dd | 2399 | SCM |
1bbd0b84 | 2400 | scm_istr2flo (char *str, long len, long radix) |
0f2d19dd JB |
2401 | { |
2402 | register int c, i = 0; | |
2403 | double lead_sgn; | |
2404 | double res = 0.0, tmp = 0.0; | |
2405 | int flg = 0; | |
2406 | int point = 0; | |
2407 | SCM second; | |
2408 | ||
f872b822 MD |
2409 | if (i >= len) |
2410 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2411 | |
f872b822 MD |
2412 | switch (*str) |
2413 | { /* leading sign */ | |
2414 | case '-': | |
2415 | lead_sgn = -1.0; | |
2416 | i++; | |
2417 | break; | |
2418 | case '+': | |
2419 | lead_sgn = 1.0; | |
2420 | i++; | |
0f2d19dd JB |
2421 | break; |
2422 | default: | |
f872b822 | 2423 | lead_sgn = 0.0; |
0f2d19dd | 2424 | } |
f872b822 MD |
2425 | if (i == len) |
2426 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2427 | ||
2428 | if (str[i] == 'i' || str[i] == 'I') | |
2429 | { /* handle `+i' and `-i' */ | |
2430 | if (lead_sgn == 0.0) | |
2431 | return SCM_BOOL_F; /* must have leading sign */ | |
2432 | if (++i < len) | |
2433 | return SCM_BOOL_F; /* `i' not last character */ | |
2434 | return scm_makdbl (0.0, lead_sgn); | |
2435 | } | |
2436 | do | |
2437 | { /* check initial digits */ | |
2438 | switch (c = str[i]) | |
2439 | { | |
2440 | case DIGITS: | |
2441 | c = c - '0'; | |
2442 | goto accum1; | |
2443 | case 'D': | |
2444 | case 'E': | |
2445 | case 'F': | |
2446 | if (radix == 10) | |
2447 | goto out1; /* must be exponent */ | |
2448 | case 'A': | |
2449 | case 'B': | |
2450 | case 'C': | |
2451 | c = c - 'A' + 10; | |
2452 | goto accum1; | |
2453 | case 'd': | |
2454 | case 'e': | |
2455 | case 'f': | |
2456 | if (radix == 10) | |
2457 | goto out1; | |
2458 | case 'a': | |
2459 | case 'b': | |
2460 | case 'c': | |
2461 | c = c - 'a' + 10; | |
2462 | accum1: | |
2463 | if (c >= radix) | |
2464 | return SCM_BOOL_F; /* bad digit for radix */ | |
2465 | res = res * radix + c; | |
2466 | flg = 1; /* res is valid */ | |
2467 | break; | |
2468 | default: | |
2469 | goto out1; | |
2470 | } | |
2471 | } | |
2472 | while (++i < len); | |
0f2d19dd JB |
2473 | out1: |
2474 | ||
2475 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2476 | if (i == len) |
2477 | goto done; | |
0f2d19dd JB |
2478 | |
2479 | /* By here, must have seen a digit, | |
2480 | or must have next char be a `.' with radix==10 */ | |
2481 | if (!flg) | |
f872b822 | 2482 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2483 | return SCM_BOOL_F; |
2484 | ||
f872b822 MD |
2485 | while (str[i] == '#') |
2486 | { /* optional sharps */ | |
2487 | res *= radix; | |
2488 | if (++i == len) | |
2489 | goto done; | |
0f2d19dd | 2490 | } |
0f2d19dd | 2491 | |
f872b822 MD |
2492 | if (str[i] == '/') |
2493 | { | |
2494 | while (++i < len) | |
2495 | { | |
2496 | switch (c = str[i]) | |
2497 | { | |
2498 | case DIGITS: | |
2499 | c = c - '0'; | |
2500 | goto accum2; | |
2501 | case 'A': | |
2502 | case 'B': | |
2503 | case 'C': | |
2504 | case 'D': | |
2505 | case 'E': | |
2506 | case 'F': | |
2507 | c = c - 'A' + 10; | |
2508 | goto accum2; | |
2509 | case 'a': | |
2510 | case 'b': | |
2511 | case 'c': | |
2512 | case 'd': | |
2513 | case 'e': | |
2514 | case 'f': | |
2515 | c = c - 'a' + 10; | |
2516 | accum2: | |
2517 | if (c >= radix) | |
2518 | return SCM_BOOL_F; | |
2519 | tmp = tmp * radix + c; | |
2520 | break; | |
2521 | default: | |
2522 | goto out2; | |
2523 | } | |
2524 | } | |
2525 | out2: | |
2526 | if (tmp == 0.0) | |
2527 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2528 | if (i < len) | |
2529 | while (str[i] == '#') | |
2530 | { /* optional sharps */ | |
2531 | tmp *= radix; | |
2532 | if (++i == len) | |
2533 | break; | |
2534 | } | |
2535 | res /= tmp; | |
2536 | goto done; | |
0f2d19dd | 2537 | } |
f872b822 MD |
2538 | |
2539 | if (str[i] == '.') | |
2540 | { /* decimal point notation */ | |
2541 | if (radix != 10) | |
2542 | return SCM_BOOL_F; /* must be radix 10 */ | |
2543 | while (++i < len) | |
2544 | { | |
2545 | switch (c = str[i]) | |
2546 | { | |
2547 | case DIGITS: | |
2548 | point--; | |
2549 | res = res * 10.0 + c - '0'; | |
2550 | flg = 1; | |
2551 | break; | |
2552 | default: | |
2553 | goto out3; | |
2554 | } | |
2555 | } | |
2556 | out3: | |
2557 | if (!flg) | |
2558 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2559 | if (i == len) | |
2560 | goto adjust; | |
2561 | while (str[i] == '#') | |
2562 | { /* ignore remaining sharps */ | |
2563 | if (++i == len) | |
2564 | goto adjust; | |
2565 | } | |
0f2d19dd | 2566 | } |
0f2d19dd | 2567 | |
f872b822 MD |
2568 | switch (str[i]) |
2569 | { /* exponent */ | |
2570 | case 'd': | |
2571 | case 'D': | |
2572 | case 'e': | |
2573 | case 'E': | |
2574 | case 'f': | |
2575 | case 'F': | |
2576 | case 'l': | |
2577 | case 'L': | |
2578 | case 's': | |
2579 | case 'S': | |
2580 | { | |
2581 | int expsgn = 1, expon = 0; | |
2582 | if (radix != 10) | |
2583 | return SCM_BOOL_F; /* only in radix 10 */ | |
2584 | if (++i == len) | |
2585 | return SCM_BOOL_F; /* bad exponent */ | |
2586 | switch (str[i]) | |
2587 | { | |
2588 | case '-': | |
2589 | expsgn = (-1); | |
2590 | case '+': | |
2591 | if (++i == len) | |
2592 | return SCM_BOOL_F; /* bad exponent */ | |
2593 | } | |
2594 | if (str[i] < '0' || str[i] > '9') | |
2595 | return SCM_BOOL_F; /* bad exponent */ | |
2596 | do | |
2597 | { | |
2598 | switch (c = str[i]) | |
2599 | { | |
2600 | case DIGITS: | |
2601 | expon = expon * 10 + c - '0'; | |
2602 | if (expon > MAXEXP) | |
2603 | return SCM_BOOL_F; /* exponent too large */ | |
2604 | break; | |
2605 | default: | |
2606 | goto out4; | |
2607 | } | |
2608 | } | |
2609 | while (++i < len); | |
2610 | out4: | |
2611 | point += expsgn * expon; | |
0f2d19dd | 2612 | } |
f872b822 | 2613 | } |
0f2d19dd JB |
2614 | |
2615 | adjust: | |
2616 | if (point >= 0) | |
f872b822 MD |
2617 | while (point--) |
2618 | res *= 10.0; | |
0f2d19dd | 2619 | else |
f872b822 MD |
2620 | #ifdef _UNICOS |
2621 | while (point++) | |
2622 | res *= 0.1; | |
2623 | #else | |
2624 | while (point++) | |
2625 | res /= 10.0; | |
2626 | #endif | |
0f2d19dd JB |
2627 | |
2628 | done: | |
2629 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2630 | if (lead_sgn == -1.0) |
2631 | res = -res; | |
2632 | if (i == len) | |
2633 | return scm_makdbl (res, 0.0); | |
2634 | ||
2635 | if (str[i] == 'i' || str[i] == 'I') | |
2636 | { /* pure imaginary number */ | |
2637 | if (lead_sgn == 0.0) | |
2638 | return SCM_BOOL_F; /* must have leading sign */ | |
2639 | if (++i < len) | |
2640 | return SCM_BOOL_F; /* `i' not last character */ | |
2641 | return scm_makdbl (0.0, res); | |
2642 | } | |
0f2d19dd | 2643 | |
f872b822 MD |
2644 | switch (str[i++]) |
2645 | { | |
2646 | case '-': | |
2647 | lead_sgn = -1.0; | |
2648 | break; | |
2649 | case '+': | |
2650 | lead_sgn = 1.0; | |
2651 | break; | |
2652 | case '@': | |
2653 | { /* polar input for complex number */ | |
2654 | /* get a `real' for scm_angle */ | |
2655 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
0c95b57d | 2656 | if (!SCM_INEXP (second)) |
f872b822 MD |
2657 | return SCM_BOOL_F; /* not `real' */ |
2658 | if (SCM_CPLXP (second)) | |
2659 | return SCM_BOOL_F; /* not `real' */ | |
2660 | tmp = SCM_REALPART (second); | |
2661 | return scm_makdbl (res * cos (tmp), res * sin (tmp)); | |
2662 | } | |
2663 | default: | |
2664 | return SCM_BOOL_F; | |
2665 | } | |
0f2d19dd JB |
2666 | |
2667 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2668 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2669 | return SCM_BOOL_F; | |
0f2d19dd | 2670 | /* handles `x+i' and `x-i' */ |
f872b822 MD |
2671 | if (i == (len - 1)) |
2672 | return scm_makdbl (res, lead_sgn); | |
0f2d19dd | 2673 | /* get a `ureal' for complex part */ |
f872b822 | 2674 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
0c95b57d | 2675 | if (!SCM_INEXP (second)) |
f872b822 MD |
2676 | return SCM_BOOL_F; /* not `ureal' */ |
2677 | if (SCM_CPLXP (second)) | |
2678 | return SCM_BOOL_F; /* not `ureal' */ | |
2679 | tmp = SCM_REALPART (second); | |
2680 | if (tmp < 0.0) | |
2681 | return SCM_BOOL_F; /* not `ureal' */ | |
2682 | return scm_makdbl (res, (lead_sgn * tmp)); | |
0f2d19dd | 2683 | } |
f872b822 | 2684 | #endif /* SCM_FLOATS */ |
0f2d19dd JB |
2685 | |
2686 | ||
1cc91f1b | 2687 | |
0f2d19dd | 2688 | SCM |
1bbd0b84 | 2689 | scm_istring2number (char *str, long len, long radix) |
0f2d19dd JB |
2690 | { |
2691 | int i = 0; | |
2692 | char ex = 0; | |
2693 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2694 | SCM res; | |
f872b822 MD |
2695 | if (len == 1) |
2696 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2697 | return SCM_BOOL_F; |
2698 | ||
f872b822 MD |
2699 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2700 | switch (str[i++]) | |
2701 | { | |
2702 | case 'b': | |
2703 | case 'B': | |
2704 | if (rx_p++) | |
2705 | return SCM_BOOL_F; | |
2706 | radix = 2; | |
2707 | break; | |
2708 | case 'o': | |
2709 | case 'O': | |
2710 | if (rx_p++) | |
2711 | return SCM_BOOL_F; | |
2712 | radix = 8; | |
2713 | break; | |
2714 | case 'd': | |
2715 | case 'D': | |
2716 | if (rx_p++) | |
2717 | return SCM_BOOL_F; | |
2718 | radix = 10; | |
2719 | break; | |
2720 | case 'x': | |
2721 | case 'X': | |
2722 | if (rx_p++) | |
2723 | return SCM_BOOL_F; | |
2724 | radix = 16; | |
2725 | break; | |
2726 | case 'i': | |
2727 | case 'I': | |
2728 | if (ex_p++) | |
2729 | return SCM_BOOL_F; | |
2730 | ex = 2; | |
2731 | break; | |
2732 | case 'e': | |
2733 | case 'E': | |
2734 | if (ex_p++) | |
2735 | return SCM_BOOL_F; | |
2736 | ex = 1; | |
2737 | break; | |
2738 | default: | |
2739 | return SCM_BOOL_F; | |
2740 | } | |
2741 | ||
2742 | switch (ex) | |
2743 | { | |
2744 | case 1: | |
2745 | return scm_istr2int (&str[i], len - i, radix); | |
2746 | case 0: | |
2747 | res = scm_istr2int (&str[i], len - i, radix); | |
2748 | if (SCM_NFALSEP (res)) | |
2749 | return res; | |
0f2d19dd | 2750 | #ifdef SCM_FLOATS |
f872b822 MD |
2751 | case 2: |
2752 | return scm_istr2flo (&str[i], len - i, radix); | |
0f2d19dd | 2753 | #endif |
f872b822 | 2754 | } |
0f2d19dd JB |
2755 | return SCM_BOOL_F; |
2756 | } | |
2757 | ||
2758 | ||
a1ec6916 | 2759 | SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0, |
1bbd0b84 | 2760 | (SCM str, SCM radix), |
b380b885 | 2761 | "") |
1bbd0b84 | 2762 | #define FUNC_NAME s_scm_string_to_number |
0f2d19dd JB |
2763 | { |
2764 | SCM answer; | |
1bbd0b84 | 2765 | int base; |
3b3b36dd GB |
2766 | SCM_VALIDATE_ROSTRING (1,str); |
2767 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); | |
f872b822 MD |
2768 | answer = scm_istring2number (SCM_ROCHARS (str), |
2769 | SCM_ROLENGTH (str), | |
1bbd0b84 | 2770 | base); |
0f2d19dd JB |
2771 | return scm_return_first (answer, str); |
2772 | } | |
1bbd0b84 | 2773 | #undef FUNC_NAME |
0f2d19dd JB |
2774 | /*** END strs->nums ***/ |
2775 | ||
2776 | #ifdef SCM_FLOATS | |
1cc91f1b | 2777 | |
0f2d19dd | 2778 | SCM |
1bbd0b84 | 2779 | scm_makdbl (double x, double y) |
0f2d19dd JB |
2780 | { |
2781 | SCM z; | |
f872b822 MD |
2782 | if ((y == 0.0) && (x == 0.0)) |
2783 | return scm_flo0; | |
0f2d19dd | 2784 | SCM_DEFER_INTS; |
f872b822 MD |
2785 | if (y == 0.0) |
2786 | { | |
2787 | #ifdef SCM_SINGLES | |
2788 | float fx = x; | |
2789 | #ifndef SCM_SINGLESONLY | |
2790 | if ((-FLTMAX < x) && (x < FLTMAX) && (fx == x)) | |
2791 | #endif | |
2792 | { | |
23a62151 | 2793 | SCM_NEWSMOB(z,scm_tc_flo,NULL); |
f872b822 MD |
2794 | SCM_FLO (z) = x; |
2795 | SCM_ALLOW_INTS; | |
2796 | return z; | |
2797 | } | |
2798 | #endif /* def SCM_SINGLES */ | |
23a62151 | 2799 | SCM_NEWSMOB(z,scm_tc_dblr,scm_must_malloc (1L * sizeof (double), "real")); |
f872b822 MD |
2800 | } |
2801 | else | |
2802 | { | |
23a62151 | 2803 | SCM_NEWSMOB(z,scm_tc_dblc,scm_must_malloc (2L * sizeof (double), "comkplex")); |
a7c930f1 | 2804 | SCM_IMAG (z) = y; |
f872b822 MD |
2805 | } |
2806 | SCM_REAL (z) = x; | |
0f2d19dd JB |
2807 | SCM_ALLOW_INTS; |
2808 | return z; | |
2809 | } | |
2810 | #endif | |
2811 | ||
2812 | ||
1cc91f1b | 2813 | |
0f2d19dd | 2814 | SCM |
1bbd0b84 | 2815 | scm_bigequal (SCM x, SCM y) |
0f2d19dd JB |
2816 | { |
2817 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2818 | if (0 == scm_bigcomp (x, y)) |
2819 | return SCM_BOOL_T; | |
0f2d19dd JB |
2820 | #endif |
2821 | return SCM_BOOL_F; | |
2822 | } | |
2823 | ||
2824 | ||
1cc91f1b | 2825 | |
0f2d19dd | 2826 | SCM |
1bbd0b84 | 2827 | scm_floequal (SCM x, SCM y) |
0f2d19dd JB |
2828 | { |
2829 | #ifdef SCM_FLOATS | |
f872b822 MD |
2830 | if (SCM_REALPART (x) != SCM_REALPART (y)) |
2831 | return SCM_BOOL_F; | |
2832 | if (!(SCM_CPLXP (x) && (SCM_IMAG (x) != SCM_IMAG (y)))) | |
2833 | return SCM_BOOL_T; | |
0f2d19dd JB |
2834 | #endif |
2835 | return SCM_BOOL_F; | |
2836 | } | |
2837 | ||
2838 | ||
2839 | ||
2840 | ||
1bbd0b84 | 2841 | SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
1cc91f1b | 2842 | |
a1ec6916 | 2843 | SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0, |
1bbd0b84 | 2844 | (SCM x), |
b380b885 | 2845 | "") |
1bbd0b84 | 2846 | #define FUNC_NAME s_scm_number_p |
0f2d19dd | 2847 | { |
f872b822 MD |
2848 | if (SCM_INUMP (x)) |
2849 | return SCM_BOOL_T; | |
0f2d19dd | 2850 | #ifdef SCM_FLOATS |
0c95b57d | 2851 | if (SCM_NUMP (x)) |
f872b822 | 2852 | return SCM_BOOL_T; |
0f2d19dd | 2853 | #else |
f872b822 | 2854 | #ifdef SCM_BIGDIG |
0c95b57d | 2855 | if (SCM_NUMP (x)) |
f872b822 MD |
2856 | return SCM_BOOL_T; |
2857 | #endif | |
0f2d19dd JB |
2858 | #endif |
2859 | return SCM_BOOL_F; | |
2860 | } | |
1bbd0b84 | 2861 | #undef FUNC_NAME |
0f2d19dd JB |
2862 | |
2863 | ||
2864 | ||
2865 | #ifdef SCM_FLOATS | |
1bbd0b84 | 2866 | SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
1cc91f1b | 2867 | |
1bbd0b84 | 2868 | |
a1ec6916 | 2869 | SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0, |
1bbd0b84 | 2870 | (SCM x), |
b380b885 | 2871 | "") |
1bbd0b84 | 2872 | #define FUNC_NAME s_scm_real_p |
0f2d19dd | 2873 | { |
f872b822 | 2874 | if (SCM_INUMP (x)) |
0f2d19dd | 2875 | return SCM_BOOL_T; |
f872b822 | 2876 | if (SCM_IMP (x)) |
0f2d19dd | 2877 | return SCM_BOOL_F; |
f872b822 | 2878 | if (SCM_REALP (x)) |
0f2d19dd | 2879 | return SCM_BOOL_T; |
f872b822 MD |
2880 | #ifdef SCM_BIGDIG |
2881 | if (SCM_BIGP (x)) | |
0f2d19dd | 2882 | return SCM_BOOL_T; |
f872b822 | 2883 | #endif |
0f2d19dd JB |
2884 | return SCM_BOOL_F; |
2885 | } | |
1bbd0b84 | 2886 | #undef FUNC_NAME |
0f2d19dd JB |
2887 | |
2888 | ||
2889 | ||
a1ec6916 | 2890 | SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0, |
1bbd0b84 | 2891 | (SCM x), |
b380b885 | 2892 | "") |
1bbd0b84 | 2893 | #define FUNC_NAME s_scm_integer_p |
0f2d19dd JB |
2894 | { |
2895 | double r; | |
f872b822 MD |
2896 | if (SCM_INUMP (x)) |
2897 | return SCM_BOOL_T; | |
2898 | if (SCM_IMP (x)) | |
2899 | return SCM_BOOL_F; | |
2900 | #ifdef SCM_BIGDIG | |
2901 | if (SCM_BIGP (x)) | |
2902 | return SCM_BOOL_T; | |
2903 | #endif | |
2904 | if (!SCM_INEXP (x)) | |
2905 | return SCM_BOOL_F; | |
2906 | if (SCM_CPLXP (x)) | |
2907 | return SCM_BOOL_F; | |
2908 | r = SCM_REALPART (x); | |
2909 | if (r == floor (r)) | |
2910 | return SCM_BOOL_T; | |
0f2d19dd JB |
2911 | return SCM_BOOL_F; |
2912 | } | |
1bbd0b84 | 2913 | #undef FUNC_NAME |
0f2d19dd JB |
2914 | |
2915 | ||
2916 | ||
f872b822 | 2917 | #endif /* SCM_FLOATS */ |
0f2d19dd | 2918 | |
a1ec6916 | 2919 | SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0, |
1bbd0b84 | 2920 | (SCM x), |
b380b885 | 2921 | "") |
1bbd0b84 | 2922 | #define FUNC_NAME s_scm_inexact_p |
0f2d19dd JB |
2923 | { |
2924 | #ifdef SCM_FLOATS | |
0c95b57d | 2925 | if (SCM_INEXP (x)) |
f872b822 | 2926 | return SCM_BOOL_T; |
0f2d19dd JB |
2927 | #endif |
2928 | return SCM_BOOL_F; | |
2929 | } | |
1bbd0b84 | 2930 | #undef FUNC_NAME |
0f2d19dd JB |
2931 | |
2932 | ||
2933 | ||
2934 | ||
152f82bf | 2935 | SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p); |
1cc91f1b | 2936 | |
0f2d19dd | 2937 | SCM |
6e8d25a6 | 2938 | scm_num_eq_p (SCM x, SCM y) |
0f2d19dd JB |
2939 | { |
2940 | #ifdef SCM_FLOATS | |
2941 | SCM t; | |
f872b822 MD |
2942 | if (SCM_NINUMP (x)) |
2943 | { | |
2944 | #ifdef SCM_BIGDIG | |
0c95b57d | 2945 | if (!SCM_NIMP (x)) |
f872b822 MD |
2946 | { |
2947 | badx: | |
152f82bf | 2948 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 | 2949 | } |
f872b822 MD |
2950 | if (SCM_BIGP (x)) |
2951 | { | |
2952 | if (SCM_INUMP (y)) | |
2953 | return SCM_BOOL_F; | |
2954 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2955 | if (SCM_BIGP (y)) | |
156dcb09 | 2956 | return SCM_BOOL(0 == scm_bigcomp (x, y)); |
f872b822 MD |
2957 | SCM_ASRTGO (SCM_INEXP (y), bady); |
2958 | bigreal: | |
2959 | return ((SCM_REALP (y) && (scm_big2dbl (x) == SCM_REALPART (y))) | |
2960 | ? SCM_BOOL_T | |
2961 | : SCM_BOOL_F); | |
2962 | } | |
2963 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
0f2d19dd | 2964 | #else |
0c95b57d | 2965 | SCM_GASSERT2 (SCM_INEXP (x), |
152f82bf | 2966 | g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 MD |
2967 | #endif |
2968 | if (SCM_INUMP (y)) | |
2969 | { | |
2970 | t = x; | |
2971 | x = y; | |
2972 | y = t; | |
2973 | goto realint; | |
2974 | } | |
2975 | #ifdef SCM_BIGDIG | |
2976 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2977 | if (SCM_BIGP (y)) | |
2978 | { | |
2979 | t = x; | |
2980 | x = y; | |
2981 | y = t; | |
2982 | goto bigreal; | |
2983 | } | |
2984 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
2985 | #else | |
0c95b57d | 2986 | SCM_ASRTGO (SCM_INEXP (y), bady); |
f872b822 MD |
2987 | #endif |
2988 | if (SCM_REALPART (x) != SCM_REALPART (y)) | |
2989 | return SCM_BOOL_F; | |
2990 | if (SCM_CPLXP (x)) | |
2991 | return ((SCM_CPLXP (y) && (SCM_IMAG (x) == SCM_IMAG (y))) | |
2992 | ? SCM_BOOL_T | |
2993 | : SCM_BOOL_F); | |
156dcb09 | 2994 | return SCM_NEGATE_BOOL(SCM_CPLXP (y)); |
f872b822 MD |
2995 | } |
2996 | if (SCM_NINUMP (y)) | |
2997 | { | |
2998 | #ifdef SCM_BIGDIG | |
2999 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3000 | if (SCM_BIGP (y)) | |
3001 | return SCM_BOOL_F; | |
0c95b57d | 3002 | if (!SCM_INEXP (y)) |
f872b822 MD |
3003 | { |
3004 | bady: | |
152f82bf | 3005 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 3006 | } |
f872b822 | 3007 | #else |
0c95b57d | 3008 | if (!SCM_INEXP (y)) |
f872b822 MD |
3009 | { |
3010 | bady: | |
152f82bf | 3011 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 3012 | } |
f872b822 MD |
3013 | #endif |
3014 | realint: | |
3015 | return ((SCM_REALP (y) && (((double) SCM_INUM (x)) == SCM_REALPART (y))) | |
3016 | ? SCM_BOOL_T | |
3017 | : SCM_BOOL_F); | |
3018 | } | |
3019 | #else | |
3020 | #ifdef SCM_BIGDIG | |
3021 | if (SCM_NINUMP (x)) | |
3022 | { | |
0c95b57d | 3023 | SCM_GASSERT2 (SCM_BIGP (x), |
152f82bf | 3024 | g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 MD |
3025 | if (SCM_INUMP (y)) |
3026 | return SCM_BOOL_F; | |
0c95b57d | 3027 | SCM_ASRTGO (SCM_BIGP (y), bady); |
156dcb09 | 3028 | return SCM_BOOL(0 == scm_bigcomp (x, y)); |
f872b822 MD |
3029 | } |
3030 | if (SCM_NINUMP (y)) | |
3031 | { | |
0c95b57d | 3032 | if (!SCM_BIGP (y)) |
f872b822 MD |
3033 | { |
3034 | bady: | |
152f82bf | 3035 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 3036 | } |
f872b822 MD |
3037 | return SCM_BOOL_F; |
3038 | } | |
3039 | #else | |
152f82bf MD |
3040 | SCM_GASSERT2 (SCM_INUMP (x), g_eq_p, x, y, SCM_ARG1, s_eq_p); |
3041 | SCM_GASSERT2 (SCM_INUMP (y), g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
0f2d19dd | 3042 | #endif |
f872b822 | 3043 | #endif |
156dcb09 | 3044 | return SCM_BOOL((long) x == (long) y); |
0f2d19dd JB |
3045 | } |
3046 | ||
3047 | ||
3048 | ||
152f82bf | 3049 | SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p); |
1cc91f1b | 3050 | |
0f2d19dd | 3051 | SCM |
6e8d25a6 | 3052 | scm_less_p (SCM x, SCM y) |
0f2d19dd JB |
3053 | { |
3054 | #ifdef SCM_FLOATS | |
f872b822 MD |
3055 | if (SCM_NINUMP (x)) |
3056 | { | |
3057 | #ifdef SCM_BIGDIG | |
0c95b57d | 3058 | if (!SCM_NIMP (x)) |
f872b822 MD |
3059 | { |
3060 | badx: | |
152f82bf | 3061 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 | 3062 | } |
f872b822 MD |
3063 | if (SCM_BIGP (x)) |
3064 | { | |
3065 | if (SCM_INUMP (y)) | |
156dcb09 | 3066 | return SCM_BOOL(SCM_BIGSIGN (x)); |
f872b822 MD |
3067 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3068 | if (SCM_BIGP (y)) | |
156dcb09 | 3069 | return SCM_BOOL(1 == scm_bigcomp (x, y)); |
f872b822 MD |
3070 | SCM_ASRTGO (SCM_REALP (y), bady); |
3071 | return ((scm_big2dbl (x) < SCM_REALPART (y)) | |
3072 | ? SCM_BOOL_T | |
3073 | : SCM_BOOL_F); | |
3074 | } | |
3075 | SCM_ASRTGO (SCM_REALP (x), badx); | |
0f2d19dd | 3076 | #else |
0c95b57d | 3077 | SCM_GASSERT2 (SCM_REALP (x), |
152f82bf | 3078 | g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 MD |
3079 | #endif |
3080 | if (SCM_INUMP (y)) | |
3081 | return ((SCM_REALPART (x) < ((double) SCM_INUM (y))) | |
3082 | ? SCM_BOOL_T | |
3083 | : SCM_BOOL_F); | |
3084 | #ifdef SCM_BIGDIG | |
3085 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3086 | if (SCM_BIGP (y)) | |
156dcb09 | 3087 | return SCM_BOOL(SCM_REALPART (x) < scm_big2dbl (y)); |
f872b822 MD |
3088 | SCM_ASRTGO (SCM_REALP (y), bady); |
3089 | #else | |
0c95b57d | 3090 | SCM_ASRTGO (SCM_REALP (y), bady); |
f872b822 | 3091 | #endif |
156dcb09 | 3092 | return SCM_BOOL(SCM_REALPART (x) < SCM_REALPART (y)); |
f872b822 MD |
3093 | } |
3094 | if (SCM_NINUMP (y)) | |
3095 | { | |
3096 | #ifdef SCM_BIGDIG | |
3097 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3098 | if (SCM_BIGP (y)) | |
156dcb09 | 3099 | return SCM_NEGATE_BOOL(SCM_BIGSIGN (y)); |
0c95b57d | 3100 | if (!SCM_REALP (y)) |
f872b822 MD |
3101 | { |
3102 | bady: | |
152f82bf | 3103 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3104 | } |
f872b822 | 3105 | #else |
0c95b57d | 3106 | if (!SCM_REALP (y)) |
f872b822 MD |
3107 | { |
3108 | bady: | |
152f82bf | 3109 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3110 | } |
f872b822 MD |
3111 | #endif |
3112 | return ((((double) SCM_INUM (x)) < SCM_REALPART (y)) | |
3113 | ? SCM_BOOL_T | |
3114 | : SCM_BOOL_F); | |
3115 | } | |
3116 | #else | |
3117 | #ifdef SCM_BIGDIG | |
3118 | if (SCM_NINUMP (x)) | |
3119 | { | |
0c95b57d | 3120 | SCM_GASSERT2 (SCM_BIGP (x), |
152f82bf | 3121 | g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 | 3122 | if (SCM_INUMP (y)) |
156dcb09 | 3123 | return SCM_BOOL(SCM_BIGSIGN (x)); |
0c95b57d | 3124 | SCM_ASRTGO (SCM_BIGP (y), bady); |
156dcb09 | 3125 | return SCM_BOOL(1 == scm_bigcomp (x, y)); |
f872b822 MD |
3126 | } |
3127 | if (SCM_NINUMP (y)) | |
3128 | { | |
0c95b57d | 3129 | if (!SCM_BIGP (y)) |
f872b822 MD |
3130 | { |
3131 | bady: | |
152f82bf | 3132 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3133 | } |
156dcb09 | 3134 | return SCM_NEGATE_BOOL(SCM_BIGSIGN (y)); |
f872b822 MD |
3135 | } |
3136 | #else | |
152f82bf MD |
3137 | SCM_GASSERT2 (SCM_INUMP (x), g_less_p, x, y, SCM_ARG1, s_less_p); |
3138 | SCM_GASSERT2 (SCM_INUMP (y), g_less_p, x, y, SCM_ARGn, s_less_p); | |
0f2d19dd | 3139 | #endif |
f872b822 | 3140 | #endif |
156dcb09 | 3141 | return SCM_BOOL((long) x < (long) y); |
0f2d19dd JB |
3142 | } |
3143 | ||
3144 | ||
c3ee7520 | 3145 | SCM_DEFINE1 (scm_gr_p, ">", scm_tc7_rpsubr, |
1bbd0b84 | 3146 | (SCM x, SCM y), |
b380b885 | 3147 | "") |
1bbd0b84 | 3148 | #define FUNC_NAME s_scm_gr_p |
0f2d19dd | 3149 | { |
f872b822 | 3150 | return scm_less_p (y, x); |
0f2d19dd | 3151 | } |
1bbd0b84 | 3152 | #undef FUNC_NAME |
0f2d19dd JB |
3153 | |
3154 | ||
3155 | ||
c3ee7520 | 3156 | SCM_DEFINE1 (scm_leq_p, "<=", scm_tc7_rpsubr, |
1bbd0b84 | 3157 | (SCM x, SCM y), |
b380b885 | 3158 | "") |
1bbd0b84 | 3159 | #define FUNC_NAME s_scm_leq_p |
0f2d19dd | 3160 | { |
f872b822 | 3161 | return SCM_BOOL_NOT (scm_less_p (y, x)); |
0f2d19dd | 3162 | } |
1bbd0b84 | 3163 | #undef FUNC_NAME |
0f2d19dd JB |
3164 | |
3165 | ||
3166 | ||
c3ee7520 | 3167 | SCM_DEFINE1 (scm_geq_p, ">=", scm_tc7_rpsubr, |
1bbd0b84 | 3168 | (SCM x, SCM y), |
b380b885 | 3169 | "") |
1bbd0b84 | 3170 | #define FUNC_NAME s_scm_geq_p |
0f2d19dd | 3171 | { |
f872b822 | 3172 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd | 3173 | } |
1bbd0b84 | 3174 | #undef FUNC_NAME |
0f2d19dd JB |
3175 | |
3176 | ||
3177 | ||
152f82bf | 3178 | SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p); |
1cc91f1b | 3179 | |
0f2d19dd | 3180 | SCM |
6e8d25a6 | 3181 | scm_zero_p (SCM z) |
0f2d19dd JB |
3182 | { |
3183 | #ifdef SCM_FLOATS | |
f872b822 MD |
3184 | if (SCM_NINUMP (z)) |
3185 | { | |
3186 | #ifdef SCM_BIGDIG | |
3187 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
3188 | if (SCM_BIGP (z)) | |
3189 | return SCM_BOOL_F; | |
0c95b57d | 3190 | if (!SCM_INEXP (z)) |
f872b822 MD |
3191 | { |
3192 | badz: | |
152f82bf | 3193 | SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3194 | } |
0f2d19dd | 3195 | #else |
0c95b57d | 3196 | SCM_GASSERT1 (SCM_INEXP (z), |
152f82bf | 3197 | g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3198 | #endif |
156dcb09 | 3199 | return SCM_BOOL(z == scm_flo0); |
f872b822 MD |
3200 | } |
3201 | #else | |
3202 | #ifdef SCM_BIGDIG | |
3203 | if (SCM_NINUMP (z)) | |
3204 | { | |
0c95b57d | 3205 | SCM_GASSERT1 (SCM_BIGP (z), |
152f82bf | 3206 | g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 MD |
3207 | return SCM_BOOL_F; |
3208 | } | |
3209 | #else | |
152f82bf | 3210 | SCM_GASSERT1 (SCM_INUMP (z), g_zero_p, z, SCM_ARG1, s_zero_p); |
0f2d19dd | 3211 | #endif |
f872b822 | 3212 | #endif |
156dcb09 | 3213 | return SCM_BOOL(z == SCM_INUM0); |
0f2d19dd JB |
3214 | } |
3215 | ||
3216 | ||
3217 | ||
152f82bf | 3218 | SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p); |
1cc91f1b | 3219 | |
0f2d19dd | 3220 | SCM |
6e8d25a6 | 3221 | scm_positive_p (SCM x) |
0f2d19dd JB |
3222 | { |
3223 | #ifdef SCM_FLOATS | |
f872b822 MD |
3224 | if (SCM_NINUMP (x)) |
3225 | { | |
3226 | #ifdef SCM_BIGDIG | |
3227 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3228 | if (SCM_BIGP (x)) | |
156dcb09 | 3229 | return SCM_BOOL(SCM_TYP16 (x) == scm_tc16_bigpos); |
0c95b57d | 3230 | if (!SCM_REALP (x)) |
f872b822 MD |
3231 | { |
3232 | badx: | |
152f82bf | 3233 | SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3234 | } |
0f2d19dd | 3235 | #else |
0c95b57d | 3236 | SCM_GASSERT1 (SCM_REALP (x), |
152f82bf | 3237 | g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3238 | #endif |
156dcb09 | 3239 | return SCM_BOOL(SCM_REALPART (x) > 0.0); |
f872b822 MD |
3240 | } |
3241 | #else | |
3242 | #ifdef SCM_BIGDIG | |
3243 | if (SCM_NINUMP (x)) | |
3244 | { | |
0c95b57d | 3245 | SCM_GASSERT1 (SCM_BIGP (x), |
152f82bf | 3246 | g_positive_p, x, SCM_ARG1, s_positive_p); |
156dcb09 | 3247 | return SCM_BOOL(SCM_TYP16 (x) == scm_tc16_bigpos); |
f872b822 MD |
3248 | } |
3249 | #else | |
152f82bf | 3250 | SCM_GASSERT1 (SCM_INUMP (x), g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3251 | #endif |
0f2d19dd | 3252 | #endif |
c209c88e | 3253 | return SCM_BOOL(SCM_INUM(x) > 0); |
0f2d19dd JB |
3254 | } |
3255 | ||
3256 | ||
3257 | ||
152f82bf | 3258 | SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p); |
1cc91f1b | 3259 | |
0f2d19dd | 3260 | SCM |
6e8d25a6 | 3261 | scm_negative_p (SCM x) |
0f2d19dd JB |
3262 | { |
3263 | #ifdef SCM_FLOATS | |
f872b822 MD |
3264 | if (SCM_NINUMP (x)) |
3265 | { | |
3266 | #ifdef SCM_BIGDIG | |
3267 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3268 | if (SCM_BIGP (x)) | |
156dcb09 | 3269 | return SCM_NEGATE_BOOL(SCM_TYP16 (x) == scm_tc16_bigpos); |
f872b822 MD |
3270 | if (!(SCM_REALP (x))) |
3271 | { | |
3272 | badx: | |
152f82bf | 3273 | SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p); |
f872b822 | 3274 | } |
0f2d19dd | 3275 | #else |
0c95b57d | 3276 | SCM_GASSERT1 (SCM_REALP (x), |
152f82bf | 3277 | g_negative_p, x, SCM_ARG1, s_negative_p); |
0f2d19dd | 3278 | #endif |
156dcb09 | 3279 | return SCM_BOOL(SCM_REALPART (x) < 0.0); |
f872b822 MD |
3280 | } |
3281 | #else | |
3282 | #ifdef SCM_BIGDIG | |
3283 | if (SCM_NINUMP (x)) | |
3284 | { | |
0c95b57d | 3285 | SCM_GASSERT1 (SCM_BIGP (x), |
152f82bf | 3286 | g_negative_p, x, SCM_ARG1, s_negative_p); |
156dcb09 | 3287 | return SCM_BOOL(SCM_TYP16 (x) == scm_tc16_bigneg); |
f872b822 MD |
3288 | } |
3289 | #else | |
152f82bf | 3290 | SCM_GASSERT1 (SCM_INUMP (x), g_negative_p, x, SCM_ARG1, s_negative_p); |
f872b822 MD |
3291 | #endif |
3292 | #endif | |
c209c88e | 3293 | return SCM_BOOL(SCM_INUM(x) < 0); |
0f2d19dd JB |
3294 | } |
3295 | ||
3296 | ||
9de33deb | 3297 | SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max); |
1cc91f1b | 3298 | |
0f2d19dd | 3299 | SCM |
6e8d25a6 | 3300 | scm_max (SCM x, SCM y) |
0f2d19dd JB |
3301 | { |
3302 | #ifdef SCM_FLOATS | |
3303 | double z; | |
3304 | #endif | |
f872b822 MD |
3305 | if (SCM_UNBNDP (y)) |
3306 | { | |
73ef98d6 MD |
3307 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3308 | g_max, scm_makfrom0str (s_max), SCM_WNA, 0); | |
0e3aa89f | 3309 | SCM_GASSERT1 (SCM_NUMBERP (x), g_max, x, SCM_ARG1, s_max); |
f872b822 MD |
3310 | return x; |
3311 | } | |
0f2d19dd | 3312 | #ifdef SCM_FLOATS |
f872b822 MD |
3313 | if (SCM_NINUMP (x)) |
3314 | { | |
3315 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3316 | if (!SCM_NIMP (x)) |
3317 | { | |
3318 | badx2: | |
3319 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max); | |
3320 | } | |
f872b822 MD |
3321 | if (SCM_BIGP (x)) |
3322 | { | |
3323 | if (SCM_INUMP (y)) | |
3324 | return SCM_BIGSIGN (x) ? y : x; | |
3325 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3326 | if (SCM_BIGP (y)) | |
3327 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
3328 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3329 | z = scm_big2dbl (x); | |
3330 | return (z < SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3331 | } | |
0e3aa89f | 3332 | SCM_ASRTGO (SCM_REALP (x), badx2); |
0f2d19dd | 3333 | #else |
0c95b57d | 3334 | SCM_GASSERT2 (SCM_REALP (x), |
9de33deb | 3335 | g_max, x, y, SCM_ARG1, s_max); |
f872b822 MD |
3336 | #endif |
3337 | if (SCM_INUMP (y)) | |
3338 | return ((SCM_REALPART (x) < (z = SCM_INUM (y))) | |
3339 | ? scm_makdbl (z, 0.0) | |
3340 | : x); | |
3341 | #ifdef SCM_BIGDIG | |
3342 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3343 | if (SCM_BIGP (y)) | |
3344 | return ((SCM_REALPART (x) < (z = scm_big2dbl (y))) | |
3345 | ? scm_makdbl (z, 0.0) | |
3346 | : x); | |
3347 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3348 | #else | |
0c95b57d | 3349 | SCM_ASRTGO (SCM_REALP (y), bady); |
f872b822 MD |
3350 | #endif |
3351 | return (SCM_REALPART (x) < SCM_REALPART (y)) ? y : x; | |
3352 | } | |
3353 | if (SCM_NINUMP (y)) | |
3354 | { | |
3355 | #ifdef SCM_BIGDIG | |
3356 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3357 | if (SCM_BIGP (y)) | |
3358 | return SCM_BIGSIGN (y) ? x : y; | |
f872b822 MD |
3359 | if (!(SCM_REALP (y))) |
3360 | { | |
3361 | bady: | |
9de33deb | 3362 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3363 | } |
f872b822 | 3364 | #else |
0c95b57d | 3365 | if (!SCM_REALP (y)) |
f872b822 MD |
3366 | { |
3367 | bady: | |
9de33deb | 3368 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3369 | } |
f872b822 MD |
3370 | #endif |
3371 | return (((z = SCM_INUM (x)) < SCM_REALPART (y)) | |
3372 | ? y | |
3373 | : scm_makdbl (z, 0.0)); | |
3374 | } | |
3375 | #else | |
3376 | #ifdef SCM_BIGDIG | |
3377 | if (SCM_NINUMP (x)) | |
3378 | { | |
0c95b57d | 3379 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 3380 | g_max, x, y, SCM_ARG1, s_max); |
f872b822 MD |
3381 | if (SCM_INUMP (y)) |
3382 | return SCM_BIGSIGN (x) ? y : x; | |
0c95b57d | 3383 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
3384 | return (1 == scm_bigcomp (x, y)) ? y : x; |
3385 | } | |
3386 | if (SCM_NINUMP (y)) | |
3387 | { | |
0c95b57d | 3388 | if (!SCM_BIGP (y)) |
f872b822 MD |
3389 | { |
3390 | bady: | |
9de33deb | 3391 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3392 | } |
f872b822 MD |
3393 | return SCM_BIGSIGN (y) ? x : y; |
3394 | } | |
3395 | #else | |
9de33deb MD |
3396 | SCM_GASSERT2 (SCM_INUMP (x), g_max, x, y, SCM_ARG1, s_max); |
3397 | SCM_GASSERT2 (SCM_INUMP (y), g_max, x, y, SCM_ARGn, s_max); | |
f872b822 MD |
3398 | #endif |
3399 | #endif | |
3400 | return ((long) x < (long) y) ? y : x; | |
0f2d19dd JB |
3401 | } |
3402 | ||
3403 | ||
c209c88e GB |
3404 | #define SCM_SWAP(x,y) do { SCM t = x; x = y; y = t; } while (0) |
3405 | ||
0f2d19dd JB |
3406 | |
3407 | ||
9de33deb | 3408 | SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min); |
1cc91f1b | 3409 | |
0f2d19dd | 3410 | SCM |
6e8d25a6 | 3411 | scm_min (SCM x, SCM y) |
0f2d19dd JB |
3412 | { |
3413 | #ifdef SCM_FLOATS | |
3414 | double z; | |
3415 | #endif | |
f872b822 MD |
3416 | if (SCM_UNBNDP (y)) |
3417 | { | |
73ef98d6 MD |
3418 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3419 | g_min, scm_makfrom0str (s_min), SCM_WNA, 0); | |
0e3aa89f | 3420 | SCM_GASSERT1 (SCM_NUMBERP (x), g_min, x, SCM_ARG1, s_min); |
f872b822 MD |
3421 | return x; |
3422 | } | |
0f2d19dd | 3423 | #ifdef SCM_FLOATS |
f872b822 MD |
3424 | if (SCM_NINUMP (x)) |
3425 | { | |
3426 | #ifdef SCM_BIGDIG | |
0c95b57d | 3427 | if (!SCM_NIMP (x)) |
0e3aa89f MD |
3428 | { |
3429 | badx2: | |
3430 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min); | |
3431 | } | |
f872b822 MD |
3432 | if (SCM_BIGP (x)) |
3433 | { | |
3434 | if (SCM_INUMP (y)) | |
3435 | return SCM_BIGSIGN (x) ? x : y; | |
3436 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3437 | if (SCM_BIGP (y)) | |
3438 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
3439 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3440 | z = scm_big2dbl (x); | |
3441 | return (z > SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3442 | } | |
0e3aa89f | 3443 | SCM_ASRTGO (SCM_REALP (x), badx2); |
0f2d19dd | 3444 | #else |
0c95b57d | 3445 | SCM_GASSERT2 (SCM_REALP (x), |
9de33deb | 3446 | g_min, x, y, SCM_ARG1, s_min); |
f872b822 MD |
3447 | #endif |
3448 | if (SCM_INUMP (y)) | |
3449 | return ((SCM_REALPART (x) > (z = SCM_INUM (y))) | |
3450 | ? scm_makdbl (z, 0.0) | |
3451 | : x); | |
3452 | #ifdef SCM_BIGDIG | |
3453 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3454 | if (SCM_BIGP (y)) | |
3455 | return ((SCM_REALPART (x) > (z = scm_big2dbl (y))) | |
3456 | ? scm_makdbl (z, 0.0) | |
3457 | : x); | |
3458 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3459 | #else | |
0c95b57d | 3460 | SCM_ASRTGO (SCM_REALP (y), bady); |
f872b822 MD |
3461 | #endif |
3462 | return (SCM_REALPART (x) > SCM_REALPART (y)) ? y : x; | |
3463 | } | |
3464 | if (SCM_NINUMP (y)) | |
3465 | { | |
3466 | #ifdef SCM_BIGDIG | |
3467 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3468 | if (SCM_BIGP (y)) | |
3469 | return SCM_BIGSIGN (y) ? y : x; | |
f872b822 MD |
3470 | if (!(SCM_REALP (y))) |
3471 | { | |
3472 | bady: | |
9de33deb | 3473 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3474 | } |
f872b822 | 3475 | #else |
0c95b57d | 3476 | if (!SCM_REALP (y)) |
f872b822 MD |
3477 | { |
3478 | bady: | |
9de33deb | 3479 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3480 | } |
0f2d19dd | 3481 | #endif |
f872b822 MD |
3482 | return (((z = SCM_INUM (x)) > SCM_REALPART (y)) |
3483 | ? y | |
3484 | : scm_makdbl (z, 0.0)); | |
3485 | } | |
3486 | #else | |
3487 | #ifdef SCM_BIGDIG | |
3488 | if (SCM_NINUMP (x)) | |
3489 | { | |
0c95b57d | 3490 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 3491 | g_min, x, y, SCM_ARG1, s_min); |
f872b822 MD |
3492 | if (SCM_INUMP (y)) |
3493 | return SCM_BIGSIGN (x) ? x : y; | |
0c95b57d | 3494 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
3495 | return (-1 == scm_bigcomp (x, y)) ? y : x; |
3496 | } | |
3497 | if (SCM_NINUMP (y)) | |
3498 | { | |
0c95b57d | 3499 | if (!SCM_BIGP (y)) |
f872b822 MD |
3500 | { |
3501 | bady: | |
9de33deb | 3502 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3503 | } |
f872b822 MD |
3504 | return SCM_BIGSIGN (y) ? y : x; |
3505 | } | |
3506 | #else | |
9de33deb MD |
3507 | SCM_GASSERT2 (SCM_INUMP (x), g_min, x, y, SCM_ARG1, s_min); |
3508 | SCM_GASSERT2 (SCM_INUMP (y), g_min, x, y, SCM_ARGn, s_min); | |
f872b822 MD |
3509 | #endif |
3510 | #endif | |
3511 | return ((long) x > (long) y) ? y : x; | |
0f2d19dd JB |
3512 | } |
3513 | ||
3514 | ||
3515 | ||
3516 | ||
9de33deb | 3517 | SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum); |
1cc91f1b | 3518 | |
c209c88e GB |
3519 | /* |
3520 | This is sick, sick, sick code. | |
3521 | ||
3522 | */ | |
0f2d19dd | 3523 | SCM |
6e8d25a6 | 3524 | scm_sum (SCM x, SCM y) |
0f2d19dd | 3525 | { |
f872b822 MD |
3526 | if (SCM_UNBNDP (y)) |
3527 | { | |
3528 | if (SCM_UNBNDP (x)) | |
3529 | return SCM_INUM0; | |
0e3aa89f | 3530 | SCM_GASSERT1 (SCM_NUMBERP (x), g_sum, x, SCM_ARG1, s_sum); |
f872b822 MD |
3531 | return x; |
3532 | } | |
0f2d19dd | 3533 | #ifdef SCM_FLOATS |
f872b822 MD |
3534 | if (SCM_NINUMP (x)) |
3535 | { | |
c209c88e | 3536 | # ifdef SCM_BIGDIG |
0e3aa89f MD |
3537 | if (!SCM_NIMP (x)) |
3538 | { | |
3539 | badx2: | |
3540 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum); | |
3541 | } | |
f872b822 MD |
3542 | if (SCM_BIGP (x)) |
3543 | { | |
3544 | if (SCM_INUMP (y)) | |
3545 | { | |
c209c88e | 3546 | SCM_SWAP(x,y); |
f872b822 MD |
3547 | goto intbig; |
3548 | } | |
3549 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3550 | if (SCM_BIGP (y)) | |
3551 | { | |
3552 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) | |
3553 | { | |
c209c88e | 3554 | SCM_SWAP(x,y); |
f872b822 MD |
3555 | } |
3556 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3557 | SCM_BIGSIGN (x), | |
3558 | y, 0); | |
3559 | } | |
3560 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3561 | bigreal: | |
3562 | return scm_makdbl (scm_big2dbl (x) + SCM_REALPART (y), | |
3563 | SCM_CPLXP (y) ? SCM_IMAG (y) : 0.0); | |
3564 | } | |
c209c88e | 3565 | # endif /* SCM_BIGDIG */ |
0e3aa89f | 3566 | SCM_ASRTGO (SCM_INEXP (x), badx2); |
c209c88e | 3567 | |
f872b822 MD |
3568 | if (SCM_INUMP (y)) |
3569 | { | |
c209c88e | 3570 | SCM_SWAP(x,y); |
f872b822 MD |
3571 | goto intreal; |
3572 | } | |
c209c88e | 3573 | # ifdef SCM_BIGDIG |
f872b822 MD |
3574 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3575 | if (SCM_BIGP (y)) | |
3576 | { | |
c209c88e | 3577 | SCM_SWAP(x,y); |
f872b822 MD |
3578 | goto bigreal; |
3579 | } | |
0c95b57d | 3580 | else if (!SCM_INEXP (y)) |
f872b822 MD |
3581 | { |
3582 | bady: | |
9de33deb | 3583 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3584 | } |
c209c88e | 3585 | # else /* SCM_BIGDIG */ |
0c95b57d | 3586 | if (!SCM_INEXP (y)) |
f872b822 MD |
3587 | { |
3588 | bady: | |
9de33deb | 3589 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3590 | } |
c209c88e | 3591 | # endif /* SCM_BIGDIG */ |
f872b822 MD |
3592 | { |
3593 | double i = 0.0; | |
3594 | if (SCM_CPLXP (x)) | |
3595 | i = SCM_IMAG (x); | |
3596 | if (SCM_CPLXP (y)) | |
3597 | i += SCM_IMAG (y); | |
3598 | return scm_makdbl (SCM_REALPART (x) + SCM_REALPART (y), i); | |
0f2d19dd | 3599 | } |
f872b822 MD |
3600 | } |
3601 | if (SCM_NINUMP (y)) | |
3602 | { | |
c209c88e | 3603 | # ifdef SCM_BIGDIG |
f872b822 MD |
3604 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3605 | if (SCM_BIGP (y)) | |
3606 | { | |
3607 | intbig: | |
3608 | { | |
c209c88e | 3609 | # ifndef SCM_DIGSTOOBIG |
f872b822 MD |
3610 | long z = scm_pseudolong (SCM_INUM (x)); |
3611 | return scm_addbig ((SCM_BIGDIG *) & z, | |
3612 | SCM_DIGSPERLONG, | |
3613 | (x < 0) ? 0x0100 : 0, | |
3614 | y, 0); | |
c209c88e | 3615 | # else /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3616 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3617 | scm_longdigs (SCM_INUM (x), zdigs); | |
3618 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3619 | y, 0); | |
c209c88e | 3620 | # endif /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3621 | } |
3622 | } | |
c209c88e | 3623 | # endif /* SCM_BIGDIG */ |
f872b822 | 3624 | SCM_ASRTGO (SCM_INEXP (y), bady); |
f872b822 MD |
3625 | intreal: |
3626 | return scm_makdbl (SCM_INUM (x) + SCM_REALPART (y), | |
3627 | SCM_CPLXP (y) ? SCM_IMAG (y) : 0.0); | |
3628 | } | |
c209c88e GB |
3629 | #else /* SCM_FLOATS */ |
3630 | # ifdef SCM_BIGDIG | |
f872b822 MD |
3631 | if (SCM_NINUMP (x)) |
3632 | { | |
3633 | SCM t; | |
0c95b57d | 3634 | SCM_ASRTGO (SCM_BIGP (x), badx2); |
f872b822 MD |
3635 | if (SCM_INUMP (y)) |
3636 | { | |
c209c88e | 3637 | SCM_SWAP(x,y); |
f872b822 MD |
3638 | goto intbig; |
3639 | } | |
0c95b57d | 3640 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 | 3641 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) |
c209c88e | 3642 | SCM_SWAP(x,y); |
f872b822 MD |
3643 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), SCM_BIGSIGN (x), |
3644 | y, 0); | |
3645 | } | |
3646 | if (SCM_NINUMP (y)) | |
3647 | { | |
0c95b57d | 3648 | if (!SCM_BIGP (y)) |
f872b822 MD |
3649 | { |
3650 | bady: | |
9de33deb | 3651 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3652 | } |
f872b822 MD |
3653 | intbig: |
3654 | { | |
c209c88e | 3655 | # ifndef SCM_DIGSTOOBIG |
f872b822 MD |
3656 | long z = scm_pseudolong (SCM_INUM (x)); |
3657 | return scm_addbig (&z, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, y, 0); | |
c209c88e | 3658 | # else |
f872b822 MD |
3659 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3660 | scm_longdigs (SCM_INUM (x), zdigs); | |
3661 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, y, 0); | |
c209c88e | 3662 | # endif /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3663 | } |
3664 | } | |
c209c88e | 3665 | # else /* SCM_BIGDIG */ |
0e3aa89f | 3666 | SCM_ASRTGO (SCM_INUMP (x), badx2); |
9de33deb | 3667 | SCM_GASSERT2 (SCM_INUMP (y), g_sum, x, y, SCM_ARGn, s_sum); |
c209c88e GB |
3668 | # endif/* SCM_BIGDIG */ |
3669 | #endif /* SCM_FLOATS */ | |
3670 | ||
3671 | { /* scope */ | |
3672 | long int i = SCM_INUM (x) + SCM_INUM (y); | |
3673 | if (SCM_FIXABLE (i)) | |
3674 | return SCM_MAKINUM (i); | |
0f2d19dd | 3675 | #ifdef SCM_BIGDIG |
c209c88e GB |
3676 | return scm_long2big (i); |
3677 | #else /* SCM_BIGDIG */ | |
3678 | ||
3679 | # ifdef SCM_FLOATS | |
3680 | return scm_makdbl ((double) i, 0.0); | |
3681 | # else | |
3682 | scm_num_overflow (s_sum); | |
3683 | return SCM_UNSPECIFIED; | |
3684 | # endif/* SCM_FLOATS */ | |
3685 | #endif /* SCM_BIGDIG */ | |
3686 | } /* end scope */ | |
0f2d19dd JB |
3687 | } |
3688 | ||
3689 | ||
3690 | ||
3691 | ||
9de33deb | 3692 | SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference); |
1cc91f1b | 3693 | |
c209c88e GB |
3694 | /* |
3695 | HWN:FIXME:: This is sick,sick, sick code. Rewrite me. | |
3696 | */ | |
0f2d19dd | 3697 | SCM |
6e8d25a6 | 3698 | scm_difference (SCM x, SCM y) |
0f2d19dd | 3699 | { |
c209c88e | 3700 | long int cx = 0; |
0f2d19dd | 3701 | #ifdef SCM_FLOATS |
f872b822 MD |
3702 | if (SCM_NINUMP (x)) |
3703 | { | |
c209c88e | 3704 | if (!SCM_NIMP (x)) |
f872b822 | 3705 | { |
0e3aa89f MD |
3706 | if (SCM_UNBNDP (y)) |
3707 | { | |
73ef98d6 MD |
3708 | SCM_GASSERT0 (!SCM_UNBNDP (x), g_difference, |
3709 | scm_makfrom0str (s_difference), SCM_WNA, 0); | |
0e3aa89f MD |
3710 | badx: |
3711 | SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference); | |
3712 | } | |
3713 | else | |
3714 | { | |
3715 | badx2: | |
3716 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference); | |
3717 | } | |
f872b822 | 3718 | } |
f872b822 MD |
3719 | if (SCM_UNBNDP (y)) |
3720 | { | |
3721 | #ifdef SCM_BIGDIG | |
3722 | if (SCM_BIGP (x)) | |
3723 | { | |
3724 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3725 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3726 | <= sizeof (SCM) | |
3727 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3728 | : x); | |
3729 | } | |
3730 | #endif | |
3731 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3732 | return scm_makdbl (- SCM_REALPART (x), | |
3733 | SCM_CPLXP (x) ? -SCM_IMAG (x) : 0.0); | |
3734 | } | |
3735 | if (SCM_INUMP (y)) | |
3736 | return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y))); | |
3737 | #ifdef SCM_BIGDIG | |
3738 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3739 | if (SCM_BIGP (x)) | |
3740 | { | |
3741 | if (SCM_BIGP (y)) | |
3742 | return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3743 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3744 | SCM_BIGSIGN (x), | |
3745 | y, 0x0100) | |
3746 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3747 | SCM_BIGSIGN (y) ^ 0x0100, | |
3748 | x, 0)); | |
3749 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3750 | return scm_makdbl (scm_big2dbl (x) - SCM_REALPART (y), | |
3751 | SCM_CPLXP (y) ? -SCM_IMAG (y) : 0.0); | |
3752 | } | |
0e3aa89f | 3753 | SCM_ASRTGO (SCM_INEXP (x), badx2); |
f872b822 MD |
3754 | if (SCM_BIGP (y)) |
3755 | return scm_makdbl (SCM_REALPART (x) - scm_big2dbl (y), | |
3756 | SCM_CPLXP (x) ? SCM_IMAG (x) : 0.0); | |
3757 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3758 | #else | |
0e3aa89f | 3759 | SCM_ASRTGO (SCM_INEXP (x), badx2); |
0c95b57d | 3760 | SCM_ASRTGO (SCM_INEXP (y), bady); |
f872b822 MD |
3761 | #endif |
3762 | if (SCM_CPLXP (x)) | |
3763 | { | |
3764 | if (SCM_CPLXP (y)) | |
3765 | return scm_makdbl (SCM_REAL (x) - SCM_REAL (y), | |
3766 | SCM_IMAG (x) - SCM_IMAG (y)); | |
3767 | else | |
3768 | return scm_makdbl (SCM_REAL (x) - SCM_REALPART (y), SCM_IMAG (x)); | |
3769 | } | |
3770 | return scm_makdbl (SCM_REALPART (x) - SCM_REALPART (y), | |
3771 | SCM_CPLXP (y) ? - SCM_IMAG (y) : 0.0); | |
3772 | } | |
3773 | if (SCM_UNBNDP (y)) | |
3774 | { | |
c209c88e | 3775 | cx = -SCM_INUM (x); |
f872b822 MD |
3776 | goto checkx; |
3777 | } | |
3778 | if (SCM_NINUMP (y)) | |
3779 | { | |
3780 | #ifdef SCM_BIGDIG | |
3781 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3782 | if (SCM_BIGP (y)) | |
3783 | { | |
3784 | #ifndef SCM_DIGSTOOBIG | |
3785 | long z = scm_pseudolong (SCM_INUM (x)); | |
3786 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3787 | (x < 0) ? 0x0100 : 0, | |
3788 | y, 0x0100); | |
3789 | #else | |
3790 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3791 | scm_longdigs (SCM_INUM (x), zdigs); | |
3792 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3793 | y, 0x0100); | |
3794 | #endif | |
3795 | } | |
0c95b57d | 3796 | if (!SCM_INEXP (y)) |
f872b822 MD |
3797 | { |
3798 | bady: | |
9de33deb | 3799 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3800 | } |
f872b822 | 3801 | #else |
0c95b57d | 3802 | if (!SCM_INEXP (y)) |
f872b822 MD |
3803 | { |
3804 | bady: | |
9de33deb | 3805 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3806 | } |
f872b822 MD |
3807 | #endif |
3808 | return scm_makdbl (SCM_INUM (x) - SCM_REALPART (y), | |
3809 | SCM_CPLXP (y) ? -SCM_IMAG (y) : 0.0); | |
3810 | } | |
3811 | #else | |
3812 | #ifdef SCM_BIGDIG | |
3813 | if (SCM_NINUMP (x)) | |
3814 | { | |
0c95b57d | 3815 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 3816 | g_difference, x, y, SCM_ARG1, s_difference); |
f872b822 MD |
3817 | if (SCM_UNBNDP (y)) |
3818 | { | |
3819 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3820 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3821 | <= sizeof (SCM) | |
3822 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3823 | : x); | |
3824 | } | |
3825 | if (SCM_INUMP (y)) | |
3826 | { | |
3827 | #ifndef SCM_DIGSTOOBIG | |
3828 | long z = scm_pseudolong (SCM_INUM (y)); | |
3829 | return scm_addbig (&z, SCM_DIGSPERLONG, (y < 0) ? 0 : 0x0100, x, 0); | |
3830 | #else | |
3831 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3832 | scm_longdigs (SCM_INUM (x), zdigs); | |
3833 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (y < 0) ? 0 : 0x0100, | |
3834 | x, 0); | |
3835 | #endif | |
3836 | } | |
0c95b57d | 3837 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
3838 | return (SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) ? |
3839 | scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), SCM_BIGSIGN (x), | |
3840 | y, 0x0100) : | |
3841 | scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), SCM_BIGSIGN (y) ^ 0x0100, | |
3842 | x, 0); | |
3843 | } | |
3844 | if (SCM_UNBNDP (y)) | |
3845 | { | |
3846 | x = -SCM_INUM (x); | |
3847 | goto checkx; | |
3848 | } | |
3849 | if (SCM_NINUMP (y)) | |
3850 | { | |
0c95b57d | 3851 | if (!SCM_BIGP (y)) |
f872b822 MD |
3852 | { |
3853 | bady: | |
9de33deb | 3854 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3855 | } |
cda139a7 | 3856 | { |
f872b822 MD |
3857 | #ifndef SCM_DIGSTOOBIG |
3858 | long z = scm_pseudolong (SCM_INUM (x)); | |
3859 | return scm_addbig (&z, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3860 | y, 0x0100); | |
3861 | #else | |
3862 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3863 | scm_longdigs (SCM_INUM (x), zdigs); | |
3864 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3865 | y, 0x0100); | |
3866 | #endif | |
cda139a7 | 3867 | } |
f872b822 | 3868 | } |
0f2d19dd | 3869 | #else |
9de33deb | 3870 | SCM_GASSERT2 (SCM_INUMP (x), g_difference, x, y, SCM_ARG1, s_difference); |
f872b822 MD |
3871 | if (SCM_UNBNDP (y)) |
3872 | { | |
c209c88e | 3873 | cx = -SCM_INUM (x); |
f872b822 | 3874 | goto checkx; |
0f2d19dd | 3875 | } |
9de33deb | 3876 | SCM_GASSERT2 (SCM_INUMP (y), g_difference, x, y, SCM_ARGn, s_difference); |
0f2d19dd | 3877 | #endif |
f872b822 | 3878 | #endif |
c209c88e | 3879 | cx = SCM_INUM (x) - SCM_INUM (y); |
0f2d19dd | 3880 | checkx: |
c209c88e GB |
3881 | if (SCM_FIXABLE (cx)) |
3882 | return SCM_MAKINUM (cx); | |
0f2d19dd | 3883 | #ifdef SCM_BIGDIG |
c209c88e | 3884 | return scm_long2big (cx); |
f872b822 MD |
3885 | #else |
3886 | #ifdef SCM_FLOATS | |
c209c88e | 3887 | return scm_makdbl ((double) cx, 0.0); |
0f2d19dd | 3888 | #else |
52859adf | 3889 | scm_num_overflow (s_difference); |
0f2d19dd | 3890 | return SCM_UNSPECIFIED; |
f872b822 | 3891 | #endif |
0f2d19dd JB |
3892 | #endif |
3893 | } | |
3894 | ||
3895 | ||
3896 | ||
3897 | ||
9de33deb | 3898 | SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product); |
1cc91f1b | 3899 | |
0f2d19dd | 3900 | SCM |
6e8d25a6 | 3901 | scm_product (SCM x, SCM y) |
0f2d19dd | 3902 | { |
f872b822 MD |
3903 | if (SCM_UNBNDP (y)) |
3904 | { | |
3905 | if (SCM_UNBNDP (x)) | |
3906 | return SCM_MAKINUM (1L); | |
0e3aa89f | 3907 | SCM_GASSERT1 (SCM_NUMBERP (x), g_product, x, SCM_ARG1, s_product); |
f872b822 MD |
3908 | return x; |
3909 | } | |
0f2d19dd | 3910 | #ifdef SCM_FLOATS |
f872b822 MD |
3911 | if (SCM_NINUMP (x)) |
3912 | { | |
3913 | SCM t; | |
3914 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3915 | if (!SCM_NIMP (x)) |
3916 | { | |
3917 | badx2: | |
3918 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product); | |
3919 | } | |
f872b822 MD |
3920 | if (SCM_BIGP (x)) |
3921 | { | |
3922 | if (SCM_INUMP (y)) | |
3923 | { | |
3924 | t = x; | |
3925 | x = y; | |
3926 | y = t; | |
3927 | goto intbig; | |
3928 | } | |
3929 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3930 | if (SCM_BIGP (y)) | |
3931 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3932 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3933 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
3934 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3935 | bigreal: | |
3936 | { | |
3937 | double bg = scm_big2dbl (x); | |
3938 | return scm_makdbl (bg * SCM_REALPART (y), | |
3939 | SCM_CPLXP (y) ? bg * SCM_IMAG (y) : 0.0); | |
3940 | } | |
3941 | } | |
0e3aa89f | 3942 | SCM_ASRTGO (SCM_INEXP (x), badx2); |
f872b822 | 3943 | #else |
0c95b57d | 3944 | SCM_ASRTGO (SCM_INEXP (x), badx2); |
f872b822 MD |
3945 | #endif |
3946 | if (SCM_INUMP (y)) | |
3947 | { | |
3948 | t = x; | |
3949 | x = y; | |
3950 | y = t; | |
3951 | goto intreal; | |
3952 | } | |
3953 | #ifdef SCM_BIGDIG | |
3954 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3955 | if (SCM_BIGP (y)) | |
3956 | { | |
3957 | t = x; | |
3958 | x = y; | |
3959 | y = t; | |
3960 | goto bigreal; | |
3961 | } | |
f872b822 MD |
3962 | else if (!(SCM_INEXP (y))) |
3963 | { | |
3964 | bady: | |
9de33deb | 3965 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3966 | } |
f872b822 | 3967 | #else |
0c95b57d | 3968 | if (!SCM_INEXP (y)) |
f872b822 MD |
3969 | { |
3970 | bady: | |
9de33deb | 3971 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3972 | } |
f872b822 MD |
3973 | #endif |
3974 | if (SCM_CPLXP (x)) | |
3975 | { | |
3976 | if (SCM_CPLXP (y)) | |
3977 | return scm_makdbl (SCM_REAL (x) * SCM_REAL (y) | |
3978 | - SCM_IMAG (x) * SCM_IMAG (y), | |
3979 | SCM_REAL (x) * SCM_IMAG (y) | |
3980 | + SCM_IMAG (x) * SCM_REAL (y)); | |
3981 | else | |
3982 | return scm_makdbl (SCM_REAL (x) * SCM_REALPART (y), | |
3983 | SCM_IMAG (x) * SCM_REALPART (y)); | |
3984 | } | |
3985 | return scm_makdbl (SCM_REALPART (x) * SCM_REALPART (y), | |
3986 | SCM_CPLXP (y) | |
3987 | ? SCM_REALPART (x) * SCM_IMAG (y) | |
3988 | : 0.0); | |
3989 | } | |
3990 | if (SCM_NINUMP (y)) | |
3991 | { | |
3992 | #ifdef SCM_BIGDIG | |
3993 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3994 | if (SCM_BIGP (y)) | |
3995 | { | |
3996 | intbig: | |
3997 | if (SCM_INUM0 == x) | |
3998 | return x; | |
3999 | if (SCM_MAKINUM (1L) == x) | |
4000 | return y; | |
4001 | { | |
4002 | #ifndef SCM_DIGSTOOBIG | |
4003 | long z = scm_pseudolong (SCM_INUM (x)); | |
4004 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
4005 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
4006 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
4007 | #else | |
4008 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
4009 | scm_longdigs (SCM_INUM (x), zdigs); | |
4010 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
4011 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
4012 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
4013 | #endif | |
4014 | } | |
4015 | } | |
4016 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
4017 | #else | |
0c95b57d | 4018 | SCM_ASRTGO (SCM_INEXP (y), bady); |
f872b822 MD |
4019 | #endif |
4020 | intreal: | |
4021 | return scm_makdbl (SCM_INUM (x) * SCM_REALPART (y), | |
4022 | SCM_CPLXP (y) ? SCM_INUM (x) * SCM_IMAG (y) : 0.0); | |
4023 | } | |
4024 | #else | |
4025 | #ifdef SCM_BIGDIG | |
4026 | if (SCM_NINUMP (x)) | |
4027 | { | |
0c95b57d | 4028 | SCM_ASRTGO (SCM_BIGP (x), badx2); |
f872b822 MD |
4029 | if (SCM_INUMP (y)) |
4030 | { | |
4031 | SCM t = x; | |
4032 | x = y; | |
4033 | y = t; | |
4034 | goto intbig; | |
4035 | } | |
0c95b57d | 4036 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
4037 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
4038 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
4039 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
4040 | } | |
4041 | if (SCM_NINUMP (y)) | |
4042 | { | |
0c95b57d | 4043 | if (!SCM_BIGP (y)) |
f872b822 MD |
4044 | { |
4045 | bady: | |
9de33deb | 4046 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 4047 | } |
f872b822 MD |
4048 | intbig: |
4049 | if (SCM_INUM0 == x) | |
4050 | return x; | |
4051 | if (SCM_MAKINUM (1L) == x) | |
4052 | return y; | |
0f2d19dd | 4053 | { |
f872b822 MD |
4054 | #ifndef SCM_DIGSTOOBIG |
4055 | long z = scm_pseudolong (SCM_INUM (x)); | |
4056 | return scm_mulbig (&z, SCM_DIGSPERLONG, | |
4057 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
4058 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
4059 | #else | |
0f2d19dd | 4060 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
f872b822 MD |
4061 | scm_longdigs (SCM_INUM (x), zdigs); |
4062 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
4063 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
4064 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
4065 | #endif | |
0f2d19dd JB |
4066 | } |
4067 | } | |
0f2d19dd | 4068 | #else |
0e3aa89f | 4069 | SCM_ASRTGO (SCM_INUMP (x), badx2); |
9de33deb | 4070 | SCM_GASSERT (SCM_INUMP (y), g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 4071 | #endif |
0f2d19dd JB |
4072 | #endif |
4073 | { | |
4074 | long i, j, k; | |
f872b822 MD |
4075 | i = SCM_INUM (x); |
4076 | if (0 == i) | |
4077 | return x; | |
4078 | j = SCM_INUM (y); | |
0f2d19dd | 4079 | k = i * j; |
f872b822 MD |
4080 | y = SCM_MAKINUM (k); |
4081 | if (k != SCM_INUM (y) || k / i != j) | |
4082 | #ifdef SCM_BIGDIG | |
4083 | { | |
4084 | int sgn = (i < 0) ^ (j < 0); | |
4085 | #ifndef SCM_DIGSTOOBIG | |
4086 | i = scm_pseudolong (i); | |
4087 | j = scm_pseudolong (j); | |
4088 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, | |
4089 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
4090 | #else /* SCM_DIGSTOOBIG */ | |
0f2d19dd JB |
4091 | SCM_BIGDIG idigs[SCM_DIGSPERLONG]; |
4092 | SCM_BIGDIG jdigs[SCM_DIGSPERLONG]; | |
f872b822 MD |
4093 | scm_longdigs (i, idigs); |
4094 | scm_longdigs (j, jdigs); | |
4095 | return scm_mulbig (idigs, SCM_DIGSPERLONG, | |
4096 | jdigs, SCM_DIGSPERLONG, | |
4097 | sgn); | |
4098 | #endif | |
0f2d19dd JB |
4099 | } |
4100 | #else | |
f872b822 MD |
4101 | #ifdef SCM_FLOATS |
4102 | return scm_makdbl (((double) i) * ((double) j), 0.0); | |
4103 | #else | |
52859adf | 4104 | scm_num_overflow (s_product); |
f872b822 | 4105 | #endif |
0f2d19dd JB |
4106 | #endif |
4107 | return y; | |
4108 | } | |
4109 | } | |
4110 | ||
4111 | ||
1cc91f1b | 4112 | |
0f2d19dd | 4113 | double |
6e8d25a6 | 4114 | scm_num2dbl (SCM a, const char *why) |
0f2d19dd JB |
4115 | { |
4116 | if (SCM_INUMP (a)) | |
4117 | return (double) SCM_INUM (a); | |
4118 | #ifdef SCM_FLOATS | |
4119 | SCM_ASSERT (SCM_NIMP (a), a, "wrong type argument", why); | |
4120 | if (SCM_REALP (a)) | |
4121 | return (SCM_REALPART (a)); | |
4122 | #endif | |
4123 | #ifdef SCM_BIGDIG | |
4124 | return scm_big2dbl (a); | |
4125 | #endif | |
4126 | SCM_ASSERT (0, a, "wrong type argument", why); | |
c209c88e GB |
4127 | /* |
4128 | unreachable, hopefully. | |
4129 | */ | |
4130 | return (double) 0.0; /* ugh. */ | |
4131 | /* return SCM_UNSPECIFIED; */ | |
0f2d19dd JB |
4132 | } |
4133 | ||
4134 | ||
9de33deb | 4135 | SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide); |
1cc91f1b | 4136 | |
0f2d19dd | 4137 | SCM |
6e8d25a6 | 4138 | scm_divide (SCM x, SCM y) |
0f2d19dd JB |
4139 | { |
4140 | #ifdef SCM_FLOATS | |
4141 | double d, r, i, a; | |
f872b822 MD |
4142 | if (SCM_NINUMP (x)) |
4143 | { | |
f872b822 MD |
4144 | if (!(SCM_NIMP (x))) |
4145 | { | |
0e3aa89f MD |
4146 | if (SCM_UNBNDP (y)) |
4147 | { | |
73ef98d6 MD |
4148 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
4149 | g_divide, scm_makfrom0str (s_divide), SCM_WNA, 0); | |
0e3aa89f MD |
4150 | badx: |
4151 | SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide); | |
4152 | } | |
4153 | else | |
4154 | { | |
4155 | badx2: | |
4156 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide); | |
4157 | } | |
f872b822 | 4158 | } |
f872b822 MD |
4159 | if (SCM_UNBNDP (y)) |
4160 | { | |
4161 | #ifdef SCM_BIGDIG | |
4162 | if (SCM_BIGP (x)) | |
4163 | return scm_makdbl (1.0 / scm_big2dbl (x), 0.0); | |
4164 | #endif | |
4165 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
4166 | if (SCM_REALP (x)) | |
4167 | return scm_makdbl (1.0 / SCM_REALPART (x), 0.0); | |
4168 | r = SCM_REAL (x); | |
4169 | i = SCM_IMAG (x); | |
4170 | d = r * r + i * i; | |
4171 | return scm_makdbl (r / d, -i / d); | |
4172 | } | |
4173 | #ifdef SCM_BIGDIG | |
4174 | if (SCM_BIGP (x)) | |
4175 | { | |
f872b822 MD |
4176 | if (SCM_INUMP (y)) |
4177 | { | |
c209c88e | 4178 | long int z = SCM_INUM (y); |
f872b822 MD |
4179 | #ifndef SCM_RECKLESS |
4180 | if (!z) | |
4181 | scm_num_overflow (s_divide); | |
4182 | #endif | |
4183 | if (1 == z) | |
4184 | return x; | |
4185 | if (z < 0) | |
4186 | z = -z; | |
4187 | if (z < SCM_BIGRAD) | |
4188 | { | |
4189 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
4190 | return (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
4191 | (SCM_BIGDIG) z) | |
4192 | ? scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0) | |
4193 | : scm_normbig (w)); | |
4194 | } | |
4195 | #ifndef SCM_DIGSTOOBIG | |
c209c88e | 4196 | /*ugh! Does anyone know what this is supposed to do?*/ |
f872b822 | 4197 | z = scm_pseudolong (z); |
c209c88e GB |
4198 | z = SCM_INUM(scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
4199 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
4200 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3)); | |
f872b822 MD |
4201 | #else |
4202 | { | |
4203 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
4204 | scm_longdigs (z, zdigs); | |
4205 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
4206 | zdigs, SCM_DIGSPERLONG, | |
4207 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
4208 | } | |
4209 | #endif | |
f1267706 | 4210 | return z ? SCM_PACK (z) : scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0); |
f872b822 MD |
4211 | } |
4212 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
4213 | if (SCM_BIGP (y)) | |
4214 | { | |
c209c88e | 4215 | SCM z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
f872b822 MD |
4216 | SCM_BDIGITS (y), SCM_NUMDIGS (y), |
4217 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
4218 | return z ? z : scm_makdbl (scm_big2dbl (x) / scm_big2dbl (y), | |
4219 | 0.0); | |
4220 | } | |
4221 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
4222 | if (SCM_REALP (y)) | |
4223 | return scm_makdbl (scm_big2dbl (x) / SCM_REALPART (y), 0.0); | |
4224 | a = scm_big2dbl (x); | |
4225 | goto complex_div; | |
4226 | } | |
4227 | #endif | |
0e3aa89f | 4228 | SCM_ASRTGO (SCM_INEXP (x), badx2); |
f872b822 MD |
4229 | if (SCM_INUMP (y)) |
4230 | { | |
4231 | d = SCM_INUM (y); | |
4232 | goto basic_div; | |
4233 | } | |
4234 | #ifdef SCM_BIGDIG | |
4235 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
4236 | if (SCM_BIGP (y)) | |
4237 | { | |
4238 | d = scm_big2dbl (y); | |
4239 | goto basic_div; | |
4240 | } | |
4241 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
4242 | #else | |
0c95b57d | 4243 | SCM_ASRTGO (SCM_INEXP (y), bady); |
f872b822 MD |
4244 | #endif |
4245 | if (SCM_REALP (y)) | |
4246 | { | |
4247 | d = SCM_REALPART (y); | |
4248 | basic_div: | |
4249 | return scm_makdbl (SCM_REALPART (x) / d, | |
4250 | SCM_CPLXP (x) ? SCM_IMAG (x) / d : 0.0); | |
4251 | } | |
4252 | a = SCM_REALPART (x); | |
4253 | if (SCM_REALP (x)) | |
4254 | goto complex_div; | |
4255 | r = SCM_REAL (y); | |
4256 | i = SCM_IMAG (y); | |
4257 | d = r * r + i * i; | |
4258 | return scm_makdbl ((a * r + SCM_IMAG (x) * i) / d, | |
4259 | (SCM_IMAG (x) * r - a * i) / d); | |
4260 | } | |
4261 | if (SCM_UNBNDP (y)) | |
4262 | { | |
4263 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
4264 | return x; | |
4265 | return scm_makdbl (1.0 / ((double) SCM_INUM (x)), 0.0); | |
4266 | } | |
4267 | if (SCM_NINUMP (y)) | |
4268 | { | |
4269 | #ifdef SCM_BIGDIG | |
4270 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
4271 | if (SCM_BIGP (y)) | |
4272 | return scm_makdbl (SCM_INUM (x) / scm_big2dbl (y), 0.0); | |
f872b822 MD |
4273 | if (!(SCM_INEXP (y))) |
4274 | { | |
4275 | bady: | |
9de33deb | 4276 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 4277 | } |
f872b822 | 4278 | #else |
0c95b57d | 4279 | if (!SCM_INEXP (y)) |
f872b822 MD |
4280 | { |
4281 | bady: | |
9de33deb | 4282 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 4283 | } |
f872b822 MD |
4284 | #endif |
4285 | if (SCM_REALP (y)) | |
4286 | return scm_makdbl (SCM_INUM (x) / SCM_REALPART (y), 0.0); | |
4287 | a = SCM_INUM (x); | |
4288 | complex_div: | |
4289 | r = SCM_REAL (y); | |
4290 | i = SCM_IMAG (y); | |
4291 | d = r * r + i * i; | |
4292 | return scm_makdbl ((a * r) / d, (-a * i) / d); | |
4293 | } | |
4294 | #else | |
4295 | #ifdef SCM_BIGDIG | |
4296 | if (SCM_NINUMP (x)) | |
4297 | { | |
0f2d19dd | 4298 | SCM z; |
0c95b57d | 4299 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 4300 | g_divide, x, y, SCM_ARG1, s_divide); |
f872b822 MD |
4301 | if (SCM_UNBNDP (y)) |
4302 | goto ov; | |
4303 | if (SCM_INUMP (y)) | |
4304 | { | |
4305 | z = SCM_INUM (y); | |
4306 | if (!z) | |
4307 | goto ov; | |
4308 | if (1 == z) | |
4309 | return x; | |
4310 | if (z < 0) | |
4311 | z = -z; | |
4312 | if (z < SCM_BIGRAD) | |
4313 | { | |
4314 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
4315 | if (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
4316 | (SCM_BIGDIG) z)) | |
4317 | goto ov; | |
4318 | return w; | |
4319 | } | |
4320 | #ifndef SCM_DIGSTOOBIG | |
4321 | z = scm_pseudolong (z); | |
4322 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
4323 | &z, SCM_DIGSPERLONG, | |
4324 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
4325 | #else | |
4326 | { | |
4327 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
4328 | scm_longdigs (z, zdigs); | |
4329 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
4330 | zdigs, SCM_DIGSPERLONG, | |
4331 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
4332 | } | |
4333 | #endif | |
4334 | } | |
4335 | else | |
4336 | { | |
0c95b57d | 4337 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
4338 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
4339 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
4340 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
4341 | } | |
4342 | if (!z) | |
4343 | goto ov; | |
4344 | return z; | |
4345 | } | |
4346 | if (SCM_UNBNDP (y)) | |
4347 | { | |
4348 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
4349 | return x; | |
4350 | goto ov; | |
4351 | } | |
4352 | if (SCM_NINUMP (y)) | |
4353 | { | |
0c95b57d | 4354 | if (!SCM_BIGP (y)) |
f872b822 MD |
4355 | { |
4356 | bady: | |
9de33deb | 4357 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 4358 | } |
f872b822 MD |
4359 | goto ov; |
4360 | } | |
0f2d19dd | 4361 | #else |
9de33deb | 4362 | SCM_GASSERT2 (SCM_INUMP (x), g_divide, x, y, SCM_ARG1, s_divide); |
f872b822 MD |
4363 | if (SCM_UNBNDP (y)) |
4364 | { | |
4365 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
4366 | return x; | |
4367 | goto ov; | |
4368 | } | |
9de33deb | 4369 | SCM_GASSERT2 (SCM_INUMP (y), g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 4370 | #endif |
0f2d19dd JB |
4371 | #endif |
4372 | { | |
f872b822 MD |
4373 | long z = SCM_INUM (y); |
4374 | if ((0 == z) || SCM_INUM (x) % z) | |
4375 | goto ov; | |
4376 | z = SCM_INUM (x) / z; | |
4377 | if (SCM_FIXABLE (z)) | |
4378 | return SCM_MAKINUM (z); | |
0f2d19dd | 4379 | #ifdef SCM_BIGDIG |
f872b822 | 4380 | return scm_long2big (z); |
0f2d19dd JB |
4381 | #endif |
4382 | #ifdef SCM_FLOATS | |
f872b822 MD |
4383 | ov: |
4384 | return scm_makdbl (((double) SCM_INUM (x)) / ((double) SCM_INUM (y)), 0.0); | |
0f2d19dd | 4385 | #else |
f872b822 MD |
4386 | ov: |
4387 | scm_num_overflow (s_divide); | |
0f2d19dd JB |
4388 | return SCM_UNSPECIFIED; |
4389 | #endif | |
4390 | } | |
4391 | } | |
4392 | ||
4393 | ||
4394 | ||
4395 | ||
4396 | #ifdef SCM_FLOATS | |
9de33deb | 4397 | SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh); |
1cc91f1b | 4398 | |
0f2d19dd | 4399 | double |
6e8d25a6 | 4400 | scm_asinh (double x) |
0f2d19dd | 4401 | { |
f872b822 | 4402 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
4403 | } |
4404 | ||
4405 | ||
4406 | ||
4407 | ||
9de33deb | 4408 | SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh); |
1cc91f1b | 4409 | |
0f2d19dd | 4410 | double |
6e8d25a6 | 4411 | scm_acosh (double x) |
0f2d19dd | 4412 | { |
f872b822 | 4413 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
4414 | } |
4415 | ||
4416 | ||
4417 | ||
4418 | ||
9de33deb | 4419 | SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh); |
1cc91f1b | 4420 | |
0f2d19dd | 4421 | double |
6e8d25a6 | 4422 | scm_atanh (double x) |
0f2d19dd | 4423 | { |
f872b822 | 4424 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
4425 | } |
4426 | ||
4427 | ||
4428 | ||
4429 | ||
9de33deb | 4430 | SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate); |
1cc91f1b | 4431 | |
0f2d19dd | 4432 | double |
6e8d25a6 | 4433 | scm_truncate (double x) |
0f2d19dd | 4434 | { |
f872b822 MD |
4435 | if (x < 0.0) |
4436 | return -floor (-x); | |
4437 | return floor (x); | |
0f2d19dd JB |
4438 | } |
4439 | ||
4440 | ||
4441 | ||
9de33deb | 4442 | SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round); |
1cc91f1b | 4443 | |
0f2d19dd | 4444 | double |
6e8d25a6 | 4445 | scm_round (double x) |
0f2d19dd JB |
4446 | { |
4447 | double plus_half = x + 0.5; | |
f872b822 | 4448 | double result = floor (plus_half); |
0f2d19dd | 4449 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 4450 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
4451 | ? result - 1 : result; |
4452 | } | |
4453 | ||
4454 | ||
4455 | ||
9de33deb | 4456 | SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact); |
1cc91f1b | 4457 | |
0f2d19dd | 4458 | double |
6e8d25a6 | 4459 | scm_exact_to_inexact (double z) |
0f2d19dd JB |
4460 | { |
4461 | return z; | |
4462 | } | |
4463 | ||
4464 | ||
9de33deb MD |
4465 | SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor); |
4466 | SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil); | |
4467 | SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt); | |
4468 | SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs); | |
4469 | SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp); | |
4470 | SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log); | |
4471 | SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin); | |
4472 | SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos); | |
4473 | SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan); | |
4474 | SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin); | |
4475 | SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos); | |
4476 | SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan); | |
4477 | SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh); | |
4478 | SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh); | |
4479 | SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh); | |
f872b822 MD |
4480 | |
4481 | struct dpair | |
4482 | { | |
4483 | double x, y; | |
4484 | }; | |
4485 | ||
3eeba8d4 JB |
4486 | static void scm_two_doubles (SCM z1, |
4487 | SCM z2, | |
4488 | const char *sstring, | |
4489 | struct dpair * xy); | |
f872b822 MD |
4490 | |
4491 | static void | |
6e8d25a6 | 4492 | scm_two_doubles (SCM z1, SCM z2, const char *sstring, struct dpair *xy) |
0f2d19dd | 4493 | { |
f872b822 MD |
4494 | if (SCM_INUMP (z1)) |
4495 | xy->x = SCM_INUM (z1); | |
4496 | else | |
4497 | { | |
4498 | #ifdef SCM_BIGDIG | |
4499 | SCM_ASRTGO (SCM_NIMP (z1), badz1); | |
4500 | if (SCM_BIGP (z1)) | |
4501 | xy->x = scm_big2dbl (z1); | |
4502 | else | |
4503 | { | |
4504 | #ifndef SCM_RECKLESS | |
0c95b57d | 4505 | if (!SCM_REALP (z1)) |
f872b822 MD |
4506 | badz1:scm_wta (z1, (char *) SCM_ARG1, sstring); |
4507 | #endif | |
4508 | xy->x = SCM_REALPART (z1); | |
4509 | } | |
4510 | #else | |
4511 | { | |
0c95b57d | 4512 | SCM_ASSERT (SCM_REALP (z1), z1, SCM_ARG1, sstring); |
f872b822 MD |
4513 | xy->x = SCM_REALPART (z1); |
4514 | } | |
4515 | #endif | |
4516 | } | |
4517 | if (SCM_INUMP (z2)) | |
4518 | xy->y = SCM_INUM (z2); | |
4519 | else | |
4520 | { | |
4521 | #ifdef SCM_BIGDIG | |
4522 | SCM_ASRTGO (SCM_NIMP (z2), badz2); | |
4523 | if (SCM_BIGP (z2)) | |
4524 | xy->y = scm_big2dbl (z2); | |
4525 | else | |
4526 | { | |
4527 | #ifndef SCM_RECKLESS | |
4528 | if (!(SCM_REALP (z2))) | |
4529 | badz2:scm_wta (z2, (char *) SCM_ARG2, sstring); | |
4530 | #endif | |
4531 | xy->y = SCM_REALPART (z2); | |
4532 | } | |
4533 | #else | |
4534 | { | |
0c95b57d | 4535 | SCM_ASSERT (SCM_REALP (z2), z2, SCM_ARG2, sstring); |
f872b822 MD |
4536 | xy->y = SCM_REALPART (z2); |
4537 | } | |
4538 | #endif | |
4539 | } | |
0f2d19dd JB |
4540 | } |
4541 | ||
4542 | ||
4543 | ||
4544 | ||
a1ec6916 | 4545 | SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0, |
1bbd0b84 | 4546 | (SCM z1, SCM z2), |
b380b885 | 4547 | "") |
1bbd0b84 | 4548 | #define FUNC_NAME s_scm_sys_expt |
0f2d19dd JB |
4549 | { |
4550 | struct dpair xy; | |
1bbd0b84 | 4551 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4552 | return scm_makdbl (pow (xy.x, xy.y), 0.0); |
0f2d19dd | 4553 | } |
1bbd0b84 | 4554 | #undef FUNC_NAME |
0f2d19dd JB |
4555 | |
4556 | ||
4557 | ||
a1ec6916 | 4558 | SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0, |
1bbd0b84 | 4559 | (SCM z1, SCM z2), |
b380b885 | 4560 | "") |
1bbd0b84 | 4561 | #define FUNC_NAME s_scm_sys_atan2 |
0f2d19dd JB |
4562 | { |
4563 | struct dpair xy; | |
1bbd0b84 | 4564 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4565 | return scm_makdbl (atan2 (xy.x, xy.y), 0.0); |
0f2d19dd | 4566 | } |
1bbd0b84 | 4567 | #undef FUNC_NAME |
0f2d19dd JB |
4568 | |
4569 | ||
4570 | ||
a1ec6916 | 4571 | SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0, |
1bbd0b84 | 4572 | (SCM z1, SCM z2), |
b380b885 | 4573 | "") |
1bbd0b84 | 4574 | #define FUNC_NAME s_scm_make_rectangular |
0f2d19dd JB |
4575 | { |
4576 | struct dpair xy; | |
1bbd0b84 | 4577 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4578 | return scm_makdbl (xy.x, xy.y); |
0f2d19dd | 4579 | } |
1bbd0b84 | 4580 | #undef FUNC_NAME |
0f2d19dd JB |
4581 | |
4582 | ||
4583 | ||
a1ec6916 | 4584 | SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0, |
1bbd0b84 | 4585 | (SCM z1, SCM z2), |
b380b885 | 4586 | "") |
1bbd0b84 | 4587 | #define FUNC_NAME s_scm_make_polar |
0f2d19dd JB |
4588 | { |
4589 | struct dpair xy; | |
1bbd0b84 | 4590 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4591 | return scm_makdbl (xy.x * cos (xy.y), xy.x * sin (xy.y)); |
0f2d19dd | 4592 | } |
1bbd0b84 | 4593 | #undef FUNC_NAME |
0f2d19dd JB |
4594 | |
4595 | ||
4596 | ||
4597 | ||
152f82bf | 4598 | SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part); |
1cc91f1b | 4599 | |
0f2d19dd | 4600 | SCM |
6e8d25a6 | 4601 | scm_real_part (SCM z) |
0f2d19dd | 4602 | { |
f872b822 MD |
4603 | if (SCM_NINUMP (z)) |
4604 | { | |
4605 | #ifdef SCM_BIGDIG | |
4606 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4607 | if (SCM_BIGP (z)) | |
4608 | return z; | |
f872b822 MD |
4609 | if (!(SCM_INEXP (z))) |
4610 | { | |
4611 | badz: | |
152f82bf | 4612 | SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4613 | } |
f872b822 | 4614 | #else |
0c95b57d | 4615 | SCM_GASSERT1 (SCM_INEXP (z), |
152f82bf | 4616 | g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 MD |
4617 | #endif |
4618 | if (SCM_CPLXP (z)) | |
4619 | return scm_makdbl (SCM_REAL (z), 0.0); | |
4620 | } | |
0f2d19dd JB |
4621 | return z; |
4622 | } | |
4623 | ||
4624 | ||
4625 | ||
152f82bf | 4626 | SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part); |
1cc91f1b | 4627 | |
0f2d19dd | 4628 | SCM |
6e8d25a6 | 4629 | scm_imag_part (SCM z) |
0f2d19dd | 4630 | { |
f872b822 MD |
4631 | if (SCM_INUMP (z)) |
4632 | return SCM_INUM0; | |
4633 | #ifdef SCM_BIGDIG | |
4634 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4635 | if (SCM_BIGP (z)) | |
4636 | return SCM_INUM0; | |
f872b822 MD |
4637 | if (!(SCM_INEXP (z))) |
4638 | { | |
4639 | badz: | |
152f82bf | 4640 | SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4641 | } |
f872b822 | 4642 | #else |
0c95b57d | 4643 | SCM_GASSERT1 (SCM_INEXP (z), |
152f82bf | 4644 | g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 MD |
4645 | #endif |
4646 | if (SCM_CPLXP (z)) | |
4647 | return scm_makdbl (SCM_IMAG (z), 0.0); | |
0f2d19dd JB |
4648 | return scm_flo0; |
4649 | } | |
4650 | ||
4651 | ||
4652 | ||
9de33deb | 4653 | SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude); |
1cc91f1b | 4654 | |
0f2d19dd | 4655 | SCM |
6e8d25a6 | 4656 | scm_magnitude (SCM z) |
0f2d19dd | 4657 | { |
f872b822 MD |
4658 | if (SCM_INUMP (z)) |
4659 | return scm_abs (z); | |
4660 | #ifdef SCM_BIGDIG | |
4661 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4662 | if (SCM_BIGP (z)) | |
4663 | return scm_abs (z); | |
f872b822 MD |
4664 | if (!(SCM_INEXP (z))) |
4665 | { | |
4666 | badz: | |
9de33deb | 4667 | SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4668 | } |
f872b822 | 4669 | #else |
0c95b57d | 4670 | SCM_GASSERT1 (SCM_INEXP (z), |
9de33deb | 4671 | g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 MD |
4672 | #endif |
4673 | if (SCM_CPLXP (z)) | |
0f2d19dd | 4674 | { |
f872b822 MD |
4675 | double i = SCM_IMAG (z), r = SCM_REAL (z); |
4676 | return scm_makdbl (sqrt (i * i + r * r), 0.0); | |
0f2d19dd | 4677 | } |
f872b822 | 4678 | return scm_makdbl (fabs (SCM_REALPART (z)), 0.0); |
0f2d19dd JB |
4679 | } |
4680 | ||
4681 | ||
4682 | ||
4683 | ||
9de33deb | 4684 | SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle); |
1cc91f1b | 4685 | |
0f2d19dd | 4686 | SCM |
6e8d25a6 | 4687 | scm_angle (SCM z) |
0f2d19dd JB |
4688 | { |
4689 | double x, y = 0.0; | |
f872b822 MD |
4690 | if (SCM_INUMP (z)) |
4691 | { | |
4692 | x = (z >= SCM_INUM0) ? 1.0 : -1.0; | |
4693 | goto do_angle; | |
4694 | } | |
4695 | #ifdef SCM_BIGDIG | |
4696 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4697 | if (SCM_BIGP (z)) | |
4698 | { | |
4699 | x = (SCM_TYP16 (z) == scm_tc16_bigpos) ? 1.0 : -1.0; | |
4700 | goto do_angle; | |
4701 | } | |
f872b822 MD |
4702 | if (!(SCM_INEXP (z))) |
4703 | { | |
4704 | badz: | |
9de33deb | 4705 | SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle); |
f872b822 | 4706 | } |
f872b822 | 4707 | #else |
0c95b57d | 4708 | SCM_GASSERT1 (SCM_INEXP (z), g_angle, z, SCM_ARG1, s_angle); |
f872b822 MD |
4709 | #endif |
4710 | if (SCM_REALP (z)) | |
4711 | { | |
4712 | x = SCM_REALPART (z); | |
0f2d19dd JB |
4713 | goto do_angle; |
4714 | } | |
f872b822 MD |
4715 | x = SCM_REAL (z); |
4716 | y = SCM_IMAG (z); | |
0f2d19dd | 4717 | do_angle: |
f872b822 | 4718 | return scm_makdbl (atan2 (y, x), 0.0); |
0f2d19dd JB |
4719 | } |
4720 | ||
4721 | ||
a1ec6916 | 4722 | SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0, |
1bbd0b84 | 4723 | (SCM z), |
b380b885 | 4724 | "") |
1bbd0b84 | 4725 | #define FUNC_NAME s_scm_inexact_to_exact |
0f2d19dd | 4726 | { |
f872b822 MD |
4727 | if (SCM_INUMP (z)) |
4728 | return z; | |
4729 | #ifdef SCM_BIGDIG | |
4730 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4731 | if (SCM_BIGP (z)) | |
4732 | return z; | |
4733 | #ifndef SCM_RECKLESS | |
4734 | if (!(SCM_REALP (z))) | |
4735 | { | |
4736 | badz: | |
4638e087 | 4737 | SCM_WTA (1, z); |
f872b822 MD |
4738 | } |
4739 | #endif | |
4740 | #else | |
3b3b36dd | 4741 | SCM_VALIDATE_REAL (1,z); |
f872b822 MD |
4742 | #endif |
4743 | #ifdef SCM_BIGDIG | |
0f2d19dd | 4744 | { |
f872b822 MD |
4745 | double u = floor (SCM_REALPART (z) + 0.5); |
4746 | if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM)) | |
4747 | { | |
4748 | /* Negation is a workaround for HP700 cc bug */ | |
4749 | SCM ans = SCM_MAKINUM ((long) u); | |
4750 | if (SCM_INUM (ans) == (long) u) | |
4751 | return ans; | |
4752 | } | |
e6f3ef58 | 4753 | SCM_ASRTGO (isfinite (u), badz); /* problem? */ |
f872b822 | 4754 | return scm_dbl2big (u); |
0f2d19dd | 4755 | } |
f872b822 MD |
4756 | #else |
4757 | return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5)); | |
4758 | #endif | |
0f2d19dd | 4759 | } |
1bbd0b84 | 4760 | #undef FUNC_NAME |
0f2d19dd JB |
4761 | |
4762 | ||
4763 | ||
f872b822 | 4764 | #else /* ~SCM_FLOATS */ |
9de33deb | 4765 | SCM_GPROC (s_trunc, "truncate", 1, 0, 0, scm_trunc, g_trunc); |
1cc91f1b | 4766 | |
0f2d19dd | 4767 | SCM |
6e8d25a6 | 4768 | scm_trunc (SCM x) |
0f2d19dd | 4769 | { |
9de33deb | 4770 | SCM_GASSERT2 (SCM_INUMP (x), g_trunc, x, y, SCM_ARG1, s_truncate); |
0f2d19dd JB |
4771 | return x; |
4772 | } | |
4773 | ||
4774 | ||
4775 | ||
f872b822 | 4776 | #endif /* SCM_FLOATS */ |
0f2d19dd JB |
4777 | |
4778 | #ifdef SCM_BIGDIG | |
f872b822 | 4779 | #ifdef SCM_FLOATS |
0f2d19dd | 4780 | /* d must be integer */ |
1cc91f1b | 4781 | |
0f2d19dd | 4782 | SCM |
6e8d25a6 | 4783 | scm_dbl2big (double d) |
0f2d19dd JB |
4784 | { |
4785 | scm_sizet i = 0; | |
4786 | long c; | |
4787 | SCM_BIGDIG *digits; | |
4788 | SCM ans; | |
f872b822 MD |
4789 | double u = (d < 0) ? -d : d; |
4790 | while (0 != floor (u)) | |
4791 | { | |
4792 | u /= SCM_BIGRAD; | |
4793 | i++; | |
4794 | } | |
4795 | ans = scm_mkbig (i, d < 0); | |
4796 | digits = SCM_BDIGITS (ans); | |
4797 | while (i--) | |
4798 | { | |
4799 | u *= SCM_BIGRAD; | |
4800 | c = floor (u); | |
4801 | u -= c; | |
4802 | digits[i] = c; | |
4803 | } | |
cf7c17e9 | 4804 | #ifndef SCM_RECKLESS |
e1724d20 | 4805 | if (u != 0) |
52859adf | 4806 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4807 | #endif |
0f2d19dd JB |
4808 | return ans; |
4809 | } | |
4810 | ||
4811 | ||
4812 | ||
0f2d19dd | 4813 | double |
6e8d25a6 | 4814 | scm_big2dbl (SCM b) |
0f2d19dd JB |
4815 | { |
4816 | double ans = 0.0; | |
f872b822 MD |
4817 | scm_sizet i = SCM_NUMDIGS (b); |
4818 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4819 | while (i--) | |
4820 | ans = digits[i] + SCM_BIGRAD * ans; | |
4821 | if (scm_tc16_bigneg == SCM_TYP16 (b)) | |
4822 | return -ans; | |
0f2d19dd JB |
4823 | return ans; |
4824 | } | |
f872b822 | 4825 | #endif |
0f2d19dd JB |
4826 | #endif |
4827 | ||
1cc91f1b | 4828 | |
0f2d19dd | 4829 | SCM |
6e8d25a6 | 4830 | scm_long2num (long sl) |
0f2d19dd | 4831 | { |
f872b822 MD |
4832 | if (!SCM_FIXABLE (sl)) |
4833 | { | |
0f2d19dd | 4834 | #ifdef SCM_BIGDIG |
f872b822 | 4835 | return scm_long2big (sl); |
0f2d19dd | 4836 | #else |
f872b822 MD |
4837 | #ifdef SCM_FLOATS |
4838 | return scm_makdbl ((double) sl, 0.0); | |
4839 | #else | |
4840 | return SCM_BOOL_F; | |
0f2d19dd | 4841 | #endif |
f872b822 MD |
4842 | #endif |
4843 | } | |
4844 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4845 | } |
4846 | ||
4847 | ||
5c11cc9d | 4848 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4849 | |
0f2d19dd | 4850 | SCM |
6e8d25a6 | 4851 | scm_long_long2num (long_long sl) |
0f2d19dd | 4852 | { |
f872b822 MD |
4853 | if (!SCM_FIXABLE (sl)) |
4854 | { | |
0f2d19dd | 4855 | #ifdef SCM_BIGDIG |
f872b822 | 4856 | return scm_long_long2big (sl); |
0f2d19dd | 4857 | #else |
f872b822 MD |
4858 | #ifdef SCM_FLOATS |
4859 | return scm_makdbl ((double) sl, 0.0); | |
4860 | #else | |
4861 | return SCM_BOOL_F; | |
0f2d19dd | 4862 | #endif |
f872b822 MD |
4863 | #endif |
4864 | } | |
4865 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4866 | } |
4867 | #endif | |
4868 | ||
4869 | ||
1cc91f1b | 4870 | |
0f2d19dd | 4871 | SCM |
6e8d25a6 | 4872 | scm_ulong2num (unsigned long sl) |
0f2d19dd | 4873 | { |
f872b822 MD |
4874 | if (!SCM_POSFIXABLE (sl)) |
4875 | { | |
0f2d19dd | 4876 | #ifdef SCM_BIGDIG |
f872b822 | 4877 | return scm_ulong2big (sl); |
0f2d19dd | 4878 | #else |
f872b822 MD |
4879 | #ifdef SCM_FLOATS |
4880 | return scm_makdbl ((double) sl, 0.0); | |
4881 | #else | |
4882 | return SCM_BOOL_F; | |
0f2d19dd | 4883 | #endif |
f872b822 MD |
4884 | #endif |
4885 | } | |
4886 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4887 | } |
4888 | ||
1cc91f1b | 4889 | |
0f2d19dd | 4890 | long |
6e8d25a6 | 4891 | scm_num2long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4892 | { |
4893 | long res; | |
5c11cc9d | 4894 | |
f872b822 | 4895 | if (SCM_INUMP (num)) |
0f2d19dd | 4896 | { |
f872b822 | 4897 | res = SCM_INUM (num); |
0f2d19dd JB |
4898 | return res; |
4899 | } | |
5c11cc9d | 4900 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
0f2d19dd | 4901 | #ifdef SCM_FLOATS |
f872b822 | 4902 | if (SCM_REALP (num)) |
0f2d19dd | 4903 | { |
5c11cc9d GH |
4904 | volatile double u = SCM_REALPART (num); |
4905 | ||
0f2d19dd | 4906 | res = u; |
5c11cc9d GH |
4907 | if (res != u) |
4908 | goto out_of_range; | |
4909 | return res; | |
0f2d19dd JB |
4910 | } |
4911 | #endif | |
4912 | #ifdef SCM_BIGDIG | |
f872b822 MD |
4913 | if (SCM_BIGP (num)) |
4914 | { | |
5c11cc9d | 4915 | unsigned long oldres = 0; |
f872b822 | 4916 | scm_sizet l; |
5c11cc9d GH |
4917 | /* can't use res directly in case num is -2^31. */ |
4918 | unsigned long pos_res = 0; | |
4919 | ||
f872b822 MD |
4920 | for (l = SCM_NUMDIGS (num); l--;) |
4921 | { | |
5c11cc9d GH |
4922 | pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l]; |
4923 | /* check for overflow. */ | |
4924 | if (pos_res < oldres) | |
4925 | goto out_of_range; | |
4926 | oldres = pos_res; | |
f872b822 MD |
4927 | } |
4928 | if (SCM_TYP16 (num) == scm_tc16_bigpos) | |
5c11cc9d GH |
4929 | { |
4930 | res = pos_res; | |
4931 | if (res < 0) | |
4932 | goto out_of_range; | |
4933 | } | |
f872b822 | 4934 | else |
5c11cc9d GH |
4935 | { |
4936 | res = -pos_res; | |
4937 | if (res > 0) | |
4938 | goto out_of_range; | |
4939 | } | |
4940 | return res; | |
f872b822 | 4941 | } |
0f2d19dd | 4942 | #endif |
5c11cc9d GH |
4943 | wrong_type_arg: |
4944 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4945 | out_of_range: | |
4946 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4947 | } |
4948 | ||
4949 | ||
4950 | ||
5c11cc9d | 4951 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4952 | |
0f2d19dd | 4953 | long_long |
6e8d25a6 | 4954 | scm_num2long_long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4955 | { |
4956 | long_long res; | |
5c11cc9d | 4957 | |
f872b822 MD |
4958 | if (SCM_INUMP (num)) |
4959 | { | |
5c11cc9d | 4960 | res = SCM_INUM (num); |
0f2d19dd JB |
4961 | return res; |
4962 | } | |
5c11cc9d | 4963 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f872b822 MD |
4964 | #ifdef SCM_FLOATS |
4965 | if (SCM_REALP (num)) | |
4966 | { | |
4967 | double u = SCM_REALPART (num); | |
5c11cc9d GH |
4968 | |
4969 | res = u; | |
4970 | if ((res < 0 && u > 0) || (res > 0 && u < 0)) /* check for overflow. */ | |
4971 | goto out_of_range; | |
4972 | ||
4973 | return res; | |
f872b822 | 4974 | } |
0f2d19dd JB |
4975 | #endif |
4976 | #ifdef SCM_BIGDIG | |
f872b822 MD |
4977 | if (SCM_BIGP (num)) |
4978 | { | |
5c11cc9d GH |
4979 | unsigned long long oldres = 0; |
4980 | scm_sizet l; | |
4981 | /* can't use res directly in case num is -2^63. */ | |
4982 | unsigned long long pos_res = 0; | |
4983 | ||
4984 | for (l = SCM_NUMDIGS (num); l--;) | |
4985 | { | |
4986 | pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4987 | /* check for overflow. */ | |
4988 | if (pos_res < oldres) | |
4989 | goto out_of_range; | |
4990 | oldres = pos_res; | |
4991 | } | |
4992 | if (SCM_TYP16 (num) == scm_tc16_bigpos) | |
4993 | { | |
4994 | res = pos_res; | |
4995 | if (res < 0) | |
4996 | goto out_of_range; | |
4997 | } | |
4998 | else | |
4999 | { | |
5000 | res = -pos_res; | |
5001 | if (res > 0) | |
5002 | goto out_of_range; | |
5003 | } | |
f872b822 MD |
5004 | return res; |
5005 | } | |
0f2d19dd | 5006 | #endif |
5c11cc9d GH |
5007 | wrong_type_arg: |
5008 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
5009 | out_of_range: | |
5010 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
5011 | } |
5012 | #endif | |
5013 | ||
5014 | ||
1cc91f1b | 5015 | |
0f2d19dd | 5016 | unsigned long |
6e8d25a6 | 5017 | scm_num2ulong (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
5018 | { |
5019 | unsigned long res; | |
5c11cc9d | 5020 | |
f872b822 | 5021 | if (SCM_INUMP (num)) |
0f2d19dd | 5022 | { |
5c11cc9d GH |
5023 | if (SCM_INUM (num) < 0) |
5024 | goto out_of_range; | |
5025 | res = SCM_INUM (num); | |
0f2d19dd JB |
5026 | return res; |
5027 | } | |
5c11cc9d | 5028 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
0f2d19dd | 5029 | #ifdef SCM_FLOATS |
f872b822 | 5030 | if (SCM_REALP (num)) |
0f2d19dd | 5031 | { |
f872b822 | 5032 | double u = SCM_REALPART (num); |
5c11cc9d GH |
5033 | |
5034 | res = u; | |
5035 | if (res != u) | |
5036 | goto out_of_range; | |
5037 | return res; | |
0f2d19dd JB |
5038 | } |
5039 | #endif | |
5040 | #ifdef SCM_BIGDIG | |
f872b822 MD |
5041 | if (SCM_BIGP (num)) |
5042 | { | |
5c11cc9d | 5043 | unsigned long oldres = 0; |
f872b822 | 5044 | scm_sizet l; |
5c11cc9d | 5045 | |
f872b822 | 5046 | res = 0; |
f872b822 MD |
5047 | for (l = SCM_NUMDIGS (num); l--;) |
5048 | { | |
5049 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
5050 | if (res < oldres) | |
5c11cc9d | 5051 | goto out_of_range; |
f872b822 MD |
5052 | oldres = res; |
5053 | } | |
5054 | return res; | |
5055 | } | |
0f2d19dd | 5056 | #endif |
5c11cc9d GH |
5057 | wrong_type_arg: |
5058 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
5059 | out_of_range: | |
5060 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
5061 | } |
5062 | ||
5063 | ||
5064 | #ifdef SCM_FLOATS | |
f872b822 | 5065 | #ifndef DBL_DIG |
f872b822 | 5066 | static void |
6e8d25a6 | 5067 | add1 (double f, double *fsum) |
0f2d19dd JB |
5068 | { |
5069 | *fsum = f + 1.0; | |
5070 | } | |
f872b822 | 5071 | #endif |
0f2d19dd JB |
5072 | #endif |
5073 | ||
5074 | ||
1cc91f1b | 5075 | |
0f2d19dd JB |
5076 | void |
5077 | scm_init_numbers () | |
0f2d19dd | 5078 | { |
dccbb90a | 5079 | scm_add_feature("complex"); |
0f2d19dd | 5080 | #ifdef SCM_FLOATS |
7e5d1209 | 5081 | scm_add_feature("inexact"); |
f872b822 | 5082 | #ifdef SCM_SINGLES |
23a62151 | 5083 | SCM_NEWSMOB(scm_flo0,scm_tc_flo,NULL); |
f872b822 | 5084 | #else |
23a62151 | 5085 | SCM_NEWSMOB(scm_flo0,scm_tc_dblr,scm_must_malloc (1L * sizeof (double), "real")); |
f872b822 | 5086 | SCM_REAL (scm_flo0) = 0.0; |
f872b822 MD |
5087 | #endif |
5088 | #ifdef DBL_DIG | |
0f2d19dd | 5089 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 5090 | #else |
0f2d19dd JB |
5091 | { /* determine floating point precision */ |
5092 | double f = 0.1; | |
f872b822 MD |
5093 | double fsum = 1.0 + f; |
5094 | while (fsum != 1.0) | |
5095 | { | |
5096 | f /= 10.0; | |
5097 | if (++scm_dblprec > 20) | |
5098 | break; | |
5099 | add1 (f, &fsum); | |
5100 | } | |
5101 | scm_dblprec = scm_dblprec - 1; | |
0f2d19dd | 5102 | } |
f872b822 | 5103 | #endif /* DBL_DIG */ |
0f2d19dd JB |
5104 | #endif |
5105 | #include "numbers.x" | |
5106 | } |