Commit | Line | Data |
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f3ae5d60 | 1 | /* Copyright (C) 1995,1996,1997,1998, 1999, 2000 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 | \f |
75 | ||
f872b822 | 76 | |
a1ec6916 | 77 | SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0, |
1bbd0b84 | 78 | (SCM x), |
b380b885 | 79 | "") |
1bbd0b84 | 80 | #define FUNC_NAME s_scm_exact_p |
0f2d19dd | 81 | { |
f872b822 MD |
82 | if (SCM_INUMP (x)) |
83 | return SCM_BOOL_T; | |
0f2d19dd | 84 | #ifdef SCM_BIGDIG |
0c95b57d | 85 | if (SCM_BIGP (x)) |
f872b822 | 86 | return SCM_BOOL_T; |
0f2d19dd JB |
87 | #endif |
88 | return SCM_BOOL_F; | |
89 | } | |
1bbd0b84 | 90 | #undef FUNC_NAME |
0f2d19dd | 91 | |
a1ec6916 | 92 | SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0, |
1bbd0b84 | 93 | (SCM n), |
b380b885 | 94 | "") |
1bbd0b84 | 95 | #define FUNC_NAME s_scm_odd_p |
0f2d19dd JB |
96 | { |
97 | #ifdef SCM_BIGDIG | |
f872b822 MD |
98 | if (SCM_NINUMP (n)) |
99 | { | |
3b3b36dd | 100 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 101 | return SCM_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 102 | } |
0f2d19dd | 103 | #else |
3b3b36dd | 104 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 105 | #endif |
1bbd0b84 | 106 | return SCM_BOOL(4 & (int) n); |
0f2d19dd | 107 | } |
1bbd0b84 | 108 | #undef FUNC_NAME |
0f2d19dd | 109 | |
a1ec6916 | 110 | SCM_DEFINE (scm_even_p, "even?", 1, 0, 0, |
1bbd0b84 | 111 | (SCM n), |
b380b885 | 112 | "") |
1bbd0b84 | 113 | #define FUNC_NAME s_scm_even_p |
0f2d19dd JB |
114 | { |
115 | #ifdef SCM_BIGDIG | |
f872b822 MD |
116 | if (SCM_NINUMP (n)) |
117 | { | |
3b3b36dd | 118 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 119 | return SCM_NEGATE_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 120 | } |
0f2d19dd | 121 | #else |
3b3b36dd | 122 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 123 | #endif |
1bbd0b84 | 124 | return SCM_NEGATE_BOOL(4 & (int) n); |
0f2d19dd | 125 | } |
1bbd0b84 | 126 | #undef FUNC_NAME |
0f2d19dd | 127 | |
9de33deb | 128 | SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs); |
1cc91f1b | 129 | |
0f2d19dd | 130 | SCM |
6e8d25a6 | 131 | scm_abs (SCM x) |
0f2d19dd | 132 | { |
c209c88e | 133 | long int cx; |
0f2d19dd | 134 | #ifdef SCM_BIGDIG |
f872b822 MD |
135 | if (SCM_NINUMP (x)) |
136 | { | |
0c95b57d | 137 | SCM_GASSERT1 (SCM_BIGP (x), g_abs, x, SCM_ARG1, s_abs); |
f3ae5d60 | 138 | if (!SCM_BIGSIGN (x)) |
f872b822 MD |
139 | return x; |
140 | return scm_copybig (x, 0); | |
141 | } | |
0f2d19dd | 142 | #else |
9de33deb | 143 | SCM_GASSERT1 (SCM_INUMP (x), g_abs, x, SCM_ARG1, s_abs); |
0f2d19dd | 144 | #endif |
f872b822 MD |
145 | if (SCM_INUM (x) >= 0) |
146 | return x; | |
c209c88e GB |
147 | cx = - SCM_INUM (x); |
148 | if (!SCM_POSFIXABLE (cx)) | |
0f2d19dd | 149 | #ifdef SCM_BIGDIG |
c209c88e | 150 | return scm_long2big (cx); |
0f2d19dd | 151 | #else |
c209c88e | 152 | scm_num_overflow (s_abs); |
0f2d19dd | 153 | #endif |
c209c88e | 154 | return SCM_MAKINUM (cx); |
0f2d19dd JB |
155 | } |
156 | ||
9de33deb | 157 | SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient); |
1cc91f1b | 158 | |
0f2d19dd | 159 | SCM |
6e8d25a6 | 160 | scm_quotient (SCM x, SCM y) |
0f2d19dd JB |
161 | { |
162 | register long z; | |
163 | #ifdef SCM_BIGDIG | |
f872b822 MD |
164 | if (SCM_NINUMP (x)) |
165 | { | |
0c95b57d | 166 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 167 | g_quotient, x, y, SCM_ARG1, s_quotient); |
f872b822 MD |
168 | if (SCM_NINUMP (y)) |
169 | { | |
0c95b57d | 170 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
171 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
172 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
173 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
174 | } | |
175 | z = SCM_INUM (y); | |
176 | SCM_ASRTGO (z, ov); | |
177 | if (1 == z) | |
178 | return x; | |
179 | if (z < 0) | |
180 | z = -z; | |
181 | if (z < SCM_BIGRAD) | |
182 | { | |
f3ae5d60 MD |
183 | SCM sw = scm_copybig (x, |
184 | SCM_BIGSIGN (x) | |
185 | ? (SCM_UNPACK (y) > 0) | |
186 | : (SCM_UNPACK (y) < 0)); | |
c209c88e GB |
187 | scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z); |
188 | return scm_normbig (sw); | |
f872b822 | 189 | } |
c209c88e | 190 | { /* scope */ |
0f2d19dd | 191 | #ifndef SCM_DIGSTOOBIG |
c209c88e | 192 | long w = scm_pseudolong (z); |
f872b822 MD |
193 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
194 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
195 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
0f2d19dd | 196 | #else |
f872b822 MD |
197 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
198 | scm_longdigs (z, zdigs); | |
199 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
200 | zdigs, SCM_DIGSPERLONG, | |
201 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
f872b822 | 202 | #endif |
c209c88e | 203 | } /* end scope */ |
0f2d19dd | 204 | } |
f872b822 MD |
205 | if (SCM_NINUMP (y)) |
206 | { | |
0c95b57d | 207 | if (!SCM_BIGP (y)) |
f872b822 MD |
208 | { |
209 | bady: | |
9de33deb | 210 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); |
f872b822 | 211 | } |
f872b822 MD |
212 | return SCM_INUM0; |
213 | } | |
0f2d19dd | 214 | #else |
9de33deb MD |
215 | SCM_GASSERT2 (SCM_INUMP (x), g_quotient, x, y, SCM_ARG1, s_quotient); |
216 | SCM_GASSERT2 (SCM_INUMP (y), g_quotient, x, y, SCM_ARG2, s_quotient); | |
0f2d19dd | 217 | #endif |
f872b822 MD |
218 | if ((z = SCM_INUM (y)) == 0) |
219 | { | |
220 | ov: | |
221 | scm_num_overflow (s_quotient); | |
222 | } | |
223 | z = SCM_INUM (x) / z; | |
0f2d19dd JB |
224 | #ifdef BADIVSGNS |
225 | { | |
f872b822 MD |
226 | #if (__TURBOC__ == 1) |
227 | long t = ((y < 0) ? -SCM_INUM (x) : SCM_INUM (x)) % SCM_INUM (y); | |
0f2d19dd | 228 | #else |
f872b822 | 229 | long t = SCM_INUM (x) % SCM_INUM (y); |
0f2d19dd | 230 | #endif |
f872b822 | 231 | if (t == 0); |
0f2d19dd | 232 | else if (t < 0) |
f872b822 MD |
233 | if (x < 0); |
234 | else | |
235 | z--; | |
236 | else if (x < 0) | |
237 | z++; | |
0f2d19dd JB |
238 | } |
239 | #endif | |
f872b822 | 240 | if (!SCM_FIXABLE (z)) |
0f2d19dd | 241 | #ifdef SCM_BIGDIG |
f872b822 | 242 | return scm_long2big (z); |
0f2d19dd | 243 | #else |
52859adf | 244 | scm_num_overflow (s_quotient); |
0f2d19dd | 245 | #endif |
f872b822 | 246 | return SCM_MAKINUM (z); |
0f2d19dd JB |
247 | } |
248 | ||
9de33deb | 249 | SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder); |
1cc91f1b | 250 | |
0f2d19dd | 251 | SCM |
6e8d25a6 | 252 | scm_remainder (SCM x, SCM y) |
0f2d19dd JB |
253 | { |
254 | register long z; | |
255 | #ifdef SCM_BIGDIG | |
f872b822 MD |
256 | if (SCM_NINUMP (x)) |
257 | { | |
0c95b57d | 258 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 259 | g_remainder, x, y, SCM_ARG1, s_remainder); |
f872b822 MD |
260 | if (SCM_NINUMP (y)) |
261 | { | |
0c95b57d | 262 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
263 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
264 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
265 | SCM_BIGSIGN (x), 0); | |
266 | } | |
267 | if (!(z = SCM_INUM (y))) | |
268 | goto ov; | |
269 | return scm_divbigint (x, z, SCM_BIGSIGN (x), 0); | |
270 | } | |
271 | if (SCM_NINUMP (y)) | |
272 | { | |
0c95b57d | 273 | if (!SCM_BIGP (y)) |
f872b822 MD |
274 | { |
275 | bady: | |
9de33deb | 276 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); |
f872b822 | 277 | } |
f872b822 | 278 | return x; |
0f2d19dd | 279 | } |
0f2d19dd | 280 | #else |
9de33deb MD |
281 | SCM_GASSERT2 (SCM_INUMP (x), g_remainder, x, y, SCM_ARG1, s_remainder); |
282 | SCM_GASSERT2 (SCM_INUMP (y), g_remainder, x, y, SCM_ARG2, s_remainder); | |
0f2d19dd | 283 | #endif |
f872b822 MD |
284 | if (!(z = SCM_INUM (y))) |
285 | { | |
286 | ov: | |
287 | scm_num_overflow (s_remainder); | |
288 | } | |
289 | #if (__TURBOC__ == 1) | |
290 | if (z < 0) | |
291 | z = -z; | |
0f2d19dd | 292 | #endif |
f872b822 | 293 | z = SCM_INUM (x) % z; |
0f2d19dd | 294 | #ifdef BADIVSGNS |
f872b822 | 295 | if (!z); |
0f2d19dd | 296 | else if (z < 0) |
f872b822 MD |
297 | if (x < 0); |
298 | else | |
299 | z += SCM_INUM (y); | |
300 | else if (x < 0) | |
301 | z -= SCM_INUM (y); | |
0f2d19dd | 302 | #endif |
f872b822 | 303 | return SCM_MAKINUM (z); |
0f2d19dd JB |
304 | } |
305 | ||
9de33deb | 306 | SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo); |
1cc91f1b | 307 | |
0f2d19dd | 308 | SCM |
6e8d25a6 | 309 | scm_modulo (SCM x, SCM y) |
0f2d19dd JB |
310 | { |
311 | register long yy, z; | |
312 | #ifdef SCM_BIGDIG | |
f872b822 MD |
313 | if (SCM_NINUMP (x)) |
314 | { | |
0c95b57d | 315 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 316 | g_modulo, x, y, SCM_ARG1, s_modulo); |
f872b822 MD |
317 | if (SCM_NINUMP (y)) |
318 | { | |
0c95b57d | 319 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
320 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
321 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
322 | SCM_BIGSIGN (y), | |
323 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
324 | } | |
325 | if (!(z = SCM_INUM (y))) | |
326 | goto ov; | |
327 | return scm_divbigint (x, z, y < 0, | |
328 | (SCM_BIGSIGN (x) ? (y > 0) : (y < 0)) ? 1 : 0); | |
329 | } | |
330 | if (SCM_NINUMP (y)) | |
331 | { | |
0c95b57d | 332 | if (!SCM_BIGP (y)) |
f872b822 MD |
333 | { |
334 | bady: | |
9de33deb | 335 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); |
f872b822 | 336 | } |
f872b822 | 337 | return (SCM_BIGSIGN (y) ? (x > 0) : (x < 0)) ? scm_sum (x, y) : x; |
0f2d19dd | 338 | } |
0f2d19dd | 339 | #else |
9de33deb MD |
340 | SCM_GASSERT1 (SCM_INUMP (x), g_modulo, x, y, SCM_ARG1, s_modulo); |
341 | SCM_GASSERT2 (SCM_INUMP (y), g_modulo, x, y, SCM_ARG2, s_modulo); | |
0f2d19dd | 342 | #endif |
f872b822 MD |
343 | if (!(yy = SCM_INUM (y))) |
344 | { | |
345 | ov: | |
346 | scm_num_overflow (s_modulo); | |
347 | } | |
0f2d19dd | 348 | #if (__TURBOC__==1) |
f872b822 MD |
349 | z = SCM_INUM (x); |
350 | z = ((yy < 0) ? -z : z) % yy; | |
0f2d19dd | 351 | #else |
f872b822 | 352 | z = SCM_INUM (x) % yy; |
0f2d19dd | 353 | #endif |
f872b822 | 354 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); |
0f2d19dd JB |
355 | } |
356 | ||
9de33deb | 357 | SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd); |
1cc91f1b | 358 | |
0f2d19dd | 359 | SCM |
6e8d25a6 | 360 | scm_gcd (SCM x, SCM y) |
0f2d19dd | 361 | { |
c209c88e | 362 | long u, v, k, t; |
f872b822 MD |
363 | if (SCM_UNBNDP (y)) |
364 | return SCM_UNBNDP (x) ? SCM_INUM0 : x; | |
0f2d19dd JB |
365 | tailrec: |
366 | #ifdef SCM_BIGDIG | |
f872b822 MD |
367 | if (SCM_NINUMP (x)) |
368 | { | |
369 | big_gcd: | |
0c95b57d | 370 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 371 | g_gcd, x, y, SCM_ARG1, s_gcd); |
f872b822 MD |
372 | if (SCM_BIGSIGN (x)) |
373 | x = scm_copybig (x, 0); | |
374 | newy: | |
375 | if (SCM_NINUMP (y)) | |
376 | { | |
0c95b57d | 377 | SCM_GASSERT2 (SCM_BIGP (y), |
9de33deb | 378 | g_gcd, x, y, SCM_ARGn, s_gcd); |
f872b822 MD |
379 | if (SCM_BIGSIGN (y)) |
380 | y = scm_copybig (y, 0); | |
381 | switch (scm_bigcomp (x, y)) | |
382 | { | |
383 | case -1: | |
384 | swaprec: | |
c209c88e GB |
385 | { |
386 | SCM t = scm_remainder (x, y); | |
387 | x = y; | |
388 | y = t; | |
389 | } | |
f872b822 MD |
390 | goto tailrec; |
391 | case 0: | |
392 | return x; | |
393 | case 1: | |
394 | y = scm_remainder (y, x); | |
395 | goto newy; | |
396 | } | |
397 | /* instead of the switch, we could just | |
398 | return scm_gcd (y, scm_modulo (x, y)); */ | |
399 | } | |
400 | if (SCM_INUM0 == y) | |
401 | return x; | |
402 | goto swaprec; | |
0f2d19dd | 403 | } |
f872b822 MD |
404 | if (SCM_NINUMP (y)) |
405 | { | |
c209c88e | 406 | SCM t = x; |
f872b822 MD |
407 | x = y; |
408 | y = t; | |
409 | goto big_gcd; | |
410 | } | |
411 | #else | |
9de33deb MD |
412 | SCM_GASSERT2 (SCM_INUMP (x), g_gcd, x, y, SCM_ARG1, s_gcd); |
413 | SCM_GASSERT2 (SCM_INUMP (y), g_gcd, x, y, SCM_ARGn, s_gcd); | |
f872b822 MD |
414 | #endif |
415 | u = SCM_INUM (x); | |
416 | if (u < 0) | |
417 | u = -u; | |
418 | v = SCM_INUM (y); | |
419 | if (v < 0) | |
420 | v = -v; | |
421 | else if (0 == v) | |
422 | goto getout; | |
423 | if (0 == u) | |
424 | { | |
425 | u = v; | |
426 | goto getout; | |
427 | } | |
428 | for (k = 1; !(1 & ((int) u | (int) v)); k <<= 1, u >>= 1, v >>= 1); | |
429 | if (1 & (int) u) | |
430 | t = -v; | |
431 | else | |
432 | { | |
433 | t = u; | |
434 | b3: | |
435 | t = SCM_SRS (t, 1); | |
436 | } | |
437 | if (!(1 & (int) t)) | |
438 | goto b3; | |
439 | if (t > 0) | |
440 | u = t; | |
441 | else | |
442 | v = -t; | |
443 | if ((t = u - v)) | |
444 | goto b3; | |
445 | u = u * k; | |
0f2d19dd | 446 | getout: |
f872b822 | 447 | if (!SCM_POSFIXABLE (u)) |
0f2d19dd | 448 | #ifdef SCM_BIGDIG |
f872b822 | 449 | return scm_long2big (u); |
0f2d19dd | 450 | #else |
52859adf | 451 | scm_num_overflow (s_gcd); |
0f2d19dd | 452 | #endif |
f872b822 | 453 | return SCM_MAKINUM (u); |
0f2d19dd JB |
454 | } |
455 | ||
9de33deb | 456 | SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm); |
1cc91f1b | 457 | |
0f2d19dd | 458 | SCM |
6e8d25a6 | 459 | scm_lcm (SCM n1, SCM n2) |
0f2d19dd JB |
460 | { |
461 | SCM d; | |
02a3305a | 462 | #ifndef SCM_BIGDIG |
87fbf1be MD |
463 | SCM_GASSERT2 (SCM_INUMP (n1) || SCM_UNBNDP (n1), |
464 | g_lcm, n1, n2, SCM_ARG1, s_lcm); | |
02a3305a MD |
465 | SCM_GASSERT2 (SCM_INUMP (n2) || SCM_UNBNDP (n2), |
466 | g_lcm, n1, n2, SCM_ARGn, s_lcm); | |
9de33deb | 467 | #else |
87fbf1be MD |
468 | SCM_GASSERT2 (SCM_INUMP (n1) |
469 | || SCM_UNBNDP (n1) | |
0c95b57d | 470 | || (SCM_BIGP (n1)), |
9de33deb | 471 | g_lcm, n1, n2, SCM_ARG1, s_lcm); |
02a3305a MD |
472 | SCM_GASSERT2 (SCM_INUMP (n2) |
473 | || SCM_UNBNDP (n2) | |
0c95b57d | 474 | || (SCM_BIGP (n2)), |
9de33deb MD |
475 | g_lcm, n1, n2, SCM_ARGn, s_lcm); |
476 | #endif | |
f872b822 MD |
477 | if (SCM_UNBNDP (n2)) |
478 | { | |
479 | n2 = SCM_MAKINUM (1L); | |
480 | if (SCM_UNBNDP (n1)) | |
481 | return n2; | |
482 | } | |
9de33deb | 483 | |
f872b822 MD |
484 | d = scm_gcd (n1, n2); |
485 | if (SCM_INUM0 == d) | |
486 | return d; | |
487 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
0f2d19dd JB |
488 | } |
489 | ||
0f2d19dd | 490 | #ifndef scm_long2num |
c1bfcf60 GB |
491 | #define SCM_LOGOP_RETURN(x) scm_ulong2num(x) |
492 | #else | |
493 | #define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x) | |
494 | #endif | |
495 | ||
8a525303 GB |
496 | |
497 | /* Emulating 2's complement bignums with sign magnitude arithmetic: | |
498 | ||
499 | Logand: | |
500 | X Y Result Method: | |
501 | (len) | |
502 | + + + x (map digit:logand X Y) | |
503 | + - + x (map digit:logand X (lognot (+ -1 Y))) | |
504 | - + + y (map digit:logand (lognot (+ -1 X)) Y) | |
505 | - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) | |
506 | ||
507 | Logior: | |
508 | X Y Result Method: | |
509 | ||
510 | + + + (map digit:logior X Y) | |
511 | + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) | |
512 | - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) | |
513 | - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) | |
514 | ||
515 | Logxor: | |
516 | X Y Result Method: | |
517 | ||
518 | + + + (map digit:logxor X Y) | |
519 | + - - (+ 1 (map digit:logxor X (+ -1 Y))) | |
520 | - + - (+ 1 (map digit:logxor (+ -1 X) Y)) | |
521 | - - + (map digit:logxor (+ -1 X) (+ -1 Y)) | |
522 | ||
523 | Logtest: | |
524 | X Y Result | |
525 | ||
526 | + + (any digit:logand X Y) | |
527 | + - (any digit:logand X (lognot (+ -1 Y))) | |
528 | - + (any digit:logand (lognot (+ -1 X)) Y) | |
529 | - - #t | |
530 | ||
531 | */ | |
532 | ||
533 | #ifdef SCM_BIGDIG | |
534 | ||
535 | SCM scm_copy_big_dec(SCM b, int sign); | |
536 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn); | |
537 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
538 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
539 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn); | |
540 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
541 | ||
542 | SCM scm_copy_big_dec(SCM b, int sign) | |
543 | { | |
544 | long num = -1; | |
545 | scm_sizet nx = SCM_NUMDIGS(b); | |
546 | scm_sizet i = 0; | |
547 | SCM ans = scm_mkbig(nx, sign); | |
548 | SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans); | |
549 | if SCM_BIGSIGN(b) do { | |
550 | num += src[i]; | |
551 | if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;} | |
552 | else {dst[i] = SCM_BIGLO(num); num = 0;} | |
553 | } while (++i < nx); | |
554 | else | |
555 | while (nx--) dst[nx] = src[nx]; | |
556 | return ans; | |
557 | } | |
558 | ||
559 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn) | |
560 | { | |
561 | long num = -1; | |
562 | scm_sizet i = 0; | |
563 | SCM z = scm_mkbig(nx, zsgn); | |
564 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
565 | if (zsgn) do { | |
566 | num += x[i]; | |
567 | if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;} | |
568 | else {zds[i] = SCM_BIGLO(num); num = 0;} | |
569 | } while (++i < nx); | |
570 | else do zds[i] = x[i]; while (++i < nx); | |
571 | return z; | |
572 | } | |
573 | ||
574 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
575 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 576 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
577 | { |
578 | long num = -1; | |
579 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
f3ae5d60 | 580 | SCM z = scm_copy_big_dec (bigy, xsgn & SCM_BIGSIGN (bigy)); |
8a525303 GB |
581 | SCM_BIGDIG *zds = SCM_BDIGITS(z); |
582 | if (xsgn) { | |
583 | do { | |
584 | num += x[i]; | |
585 | if (num < 0) {zds[i] |= num + SCM_BIGRAD; num = -1;} | |
586 | else {zds[i] |= SCM_BIGLO(num); num = 0;} | |
587 | } while (++i < nx); | |
588 | /* ========= Need to increment zds now =========== */ | |
589 | i = 0; num = 1; | |
590 | while (i < ny) { | |
591 | num += zds[i]; | |
592 | zds[i++] = SCM_BIGLO(num); | |
593 | num = SCM_BIGDN(num); | |
594 | if (!num) return z; | |
595 | } | |
596 | scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */ | |
597 | SCM_BDIGITS(z)[ny] = 1; | |
598 | return z; | |
599 | } | |
600 | else do zds[i] = zds[i] | x[i]; while (++i < nx); | |
601 | return z; | |
602 | } | |
603 | ||
604 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
605 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 606 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
607 | { |
608 | long num = -1; | |
609 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
610 | SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy)); | |
611 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
612 | if (xsgn) do { | |
613 | num += x[i]; | |
614 | if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;} | |
615 | else {zds[i] ^= SCM_BIGLO(num); num = 0;} | |
616 | } while (++i < nx); | |
617 | else do { | |
618 | zds[i] = zds[i] ^ x[i]; | |
619 | } while (++i < nx); | |
620 | ||
621 | if (xsgn ^ SCM_BIGSIGN(bigy)) { | |
622 | /* ========= Need to increment zds now =========== */ | |
623 | i = 0; num = 1; | |
624 | while (i < ny) { | |
625 | num += zds[i]; | |
626 | zds[i++] = SCM_BIGLO(num); | |
627 | num = SCM_BIGDN(num); | |
628 | if (!num) return scm_normbig(z); | |
629 | } | |
630 | } | |
631 | return scm_normbig(z); | |
632 | } | |
633 | ||
634 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn) | |
635 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 MD |
636 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
637 | /* return sign equals either 0 or SCM_BIGSIGNFLAG */ | |
8a525303 GB |
638 | { |
639 | long num = -1; | |
640 | scm_sizet i = 0; | |
641 | SCM z; | |
642 | SCM_BIGDIG *zds; | |
643 | if (xsgn==zsgn) { | |
644 | z = scm_copy_smaller(x, nx, zsgn); | |
645 | x = SCM_BDIGITS(bigy); | |
646 | xsgn = SCM_BIGSIGN(bigy); | |
647 | } | |
648 | else z = scm_copy_big_dec(bigy, zsgn); | |
649 | zds = SCM_BDIGITS(z); | |
650 | ||
651 | if (zsgn) { | |
652 | if (xsgn) do { | |
653 | num += x[i]; | |
654 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
655 | else {zds[i] &= SCM_BIGLO(num); num = 0;} | |
656 | } while (++i < nx); | |
657 | else do zds[i] = zds[i] & ~x[i]; while (++i < nx); | |
658 | /* ========= need to increment zds now =========== */ | |
659 | i = 0; num = 1; | |
660 | while (i < nx) { | |
661 | num += zds[i]; | |
662 | zds[i++] = SCM_BIGLO(num); | |
663 | num = SCM_BIGDN(num); | |
664 | if (!num) return scm_normbig(z); | |
665 | } | |
666 | } | |
667 | else if (xsgn) do { | |
668 | num += x[i]; | |
669 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
670 | else {zds[i] &= ~SCM_BIGLO(num); num = 0;} | |
671 | } while (++i < nx); | |
672 | else do zds[i] = zds[i] & x[i]; while (++i < nx); | |
673 | return scm_normbig(z); | |
674 | } | |
675 | ||
676 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
677 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 678 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
679 | { |
680 | SCM_BIGDIG *y; | |
681 | scm_sizet i = 0; | |
682 | long num = -1; | |
683 | if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T; | |
684 | if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T; | |
685 | y = SCM_BDIGITS(bigy); | |
686 | if (xsgn) | |
687 | do { | |
688 | num += x[i]; | |
689 | if (num < 0) { | |
690 | if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
691 | num = -1; | |
692 | } | |
693 | else { | |
694 | if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
695 | num = 0; | |
696 | } | |
697 | } while (++i < nx); | |
698 | else if SCM_BIGSIGN(bigy) | |
699 | do { | |
700 | num += y[i]; | |
701 | if (num < 0) { | |
702 | if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
703 | num = -1; | |
704 | } | |
705 | else { | |
706 | if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
707 | num = 0; | |
708 | } | |
709 | } while (++i < nx); | |
710 | else | |
711 | do if (x[i] & y[i]) return SCM_BOOL_T; | |
712 | while (++i < nx); | |
713 | return SCM_BOOL_F; | |
714 | } | |
715 | ||
716 | #endif | |
717 | ||
c3ee7520 | 718 | SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr, |
1bbd0b84 | 719 | (SCM n1, SCM n2), |
b380b885 MD |
720 | "Returns the integer which is the bit-wise AND of the two integer\n" |
721 | "arguments.\n\n" | |
722 | "Example:\n" | |
723 | "@lisp\n" | |
724 | "(number->string (logand #b1100 #b1010) 2)\n" | |
725 | " @result{} \"1000\"") | |
1bbd0b84 | 726 | #define FUNC_NAME s_scm_logand |
0f2d19dd | 727 | { |
f872b822 | 728 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
729 | { |
730 | if (SCM_UNBNDP (n1)) | |
731 | return SCM_MAKINUM (-1); | |
8a525303 | 732 | #ifndef SCM_RECKLESS |
f3ae5d60 MD |
733 | if (!(SCM_NUMBERP (n1))) |
734 | badx: SCM_WTA (SCM_ARG1, n1); | |
8a525303 | 735 | #endif |
d28da049 MD |
736 | return n1; |
737 | } | |
8a525303 GB |
738 | #ifdef SCM_BIGDIG |
739 | if SCM_NINUMP(n1) { | |
740 | SCM t; | |
741 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
742 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
743 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
744 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
745 | if ((SCM_BIGSIGN(n1)) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
746 | return scm_big_ior (SCM_BDIGITS(n1), |
747 | SCM_NUMDIGS(n1), | |
748 | SCM_BIGSIGNFLAG, | |
749 | n2); | |
750 | return scm_big_and (SCM_BDIGITS(n1), | |
751 | SCM_NUMDIGS(n1), | |
752 | SCM_BIGSIGN(n1), | |
753 | n2, | |
754 | 0); | |
8a525303 GB |
755 | } |
756 | if SCM_NINUMP(n2) { | |
757 | # ifndef SCM_RECKLESS | |
758 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
759 | bady: SCM_WTA (SCM_ARG2, n2); | |
760 | # endif | |
761 | intbig: { | |
762 | # ifndef SCM_DIGSTOOBIG | |
763 | long z = scm_pseudolong(SCM_INUM(n1)); | |
764 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
765 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); |
766 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
8a525303 GB |
767 | # else |
768 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
769 | scm_longdigs(SCM_INUM(n1), zdigs); | |
770 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
771 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); |
772 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
8a525303 GB |
773 | # endif |
774 | }} | |
775 | #else | |
776 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
777 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
778 | #endif | |
779 | return SCM_MAKINUM(SCM_INUM(n1) & SCM_INUM(n2)); | |
0f2d19dd | 780 | } |
1bbd0b84 | 781 | #undef FUNC_NAME |
0f2d19dd | 782 | |
c3ee7520 | 783 | SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr, |
1bbd0b84 | 784 | (SCM n1, SCM n2), |
b380b885 MD |
785 | "Returns the integer which is the bit-wise OR of the two integer\n" |
786 | "arguments.\n\n" | |
787 | "Example:\n" | |
788 | "@lisp\n" | |
789 | "(number->string (logior #b1100 #b1010) 2)\n" | |
790 | " @result{} \"1110\"\n" | |
791 | "@end lisp") | |
1bbd0b84 | 792 | #define FUNC_NAME s_scm_logior |
0f2d19dd | 793 | { |
f872b822 | 794 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
795 | { |
796 | if (SCM_UNBNDP (n1)) | |
797 | return SCM_INUM0; | |
8a525303 GB |
798 | #ifndef SCM_RECKLESS |
799 | if (!(SCM_NUMBERP(n1))) | |
800 | badx: SCM_WTA(SCM_ARG1, n1); | |
801 | #endif | |
d28da049 MD |
802 | return n1; |
803 | } | |
8a525303 GB |
804 | #ifdef SCM_BIGDIG |
805 | if SCM_NINUMP(n1) { | |
806 | SCM t; | |
807 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
808 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
809 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
810 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
811 | if ((!SCM_BIGSIGN(n1)) && !SCM_BIGSIGN(n2)) | |
812 | return scm_big_ior(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
f3ae5d60 | 813 | return scm_big_and(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2, SCM_BIGSIGNFLAG); |
8a525303 GB |
814 | } |
815 | if SCM_NINUMP(n2) { | |
816 | # ifndef SCM_RECKLESS | |
817 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
818 | bady: SCM_WTA(SCM_ARG2, n2); | |
819 | # endif | |
820 | intbig: { | |
821 | # ifndef SCM_DIGSTOOBIG | |
822 | long z = scm_pseudolong(SCM_INUM(n1)); | |
823 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
824 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
825 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
8a525303 GB |
826 | # else |
827 | BIGDIG zdigs[DIGSPERLONG]; | |
828 | scm_longdigs(SCM_INUM(n1), zdigs); | |
829 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
830 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
831 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
8a525303 GB |
832 | # endif |
833 | }} | |
834 | #else | |
835 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
836 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
837 | #endif | |
838 | return SCM_MAKINUM(SCM_INUM(n1) | SCM_INUM(n2)); | |
0f2d19dd | 839 | } |
1bbd0b84 | 840 | #undef FUNC_NAME |
0f2d19dd | 841 | |
c3ee7520 | 842 | SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr, |
1bbd0b84 | 843 | (SCM n1, SCM n2), |
b380b885 MD |
844 | "Returns the integer which is the bit-wise XOR of the two integer\n" |
845 | "arguments.\n\n" | |
846 | "Example:\n" | |
847 | "@lisp\n" | |
848 | "(number->string (logxor #b1100 #b1010) 2)\n" | |
849 | " @result{} \"110\"\n" | |
850 | "@end lisp") | |
1bbd0b84 | 851 | #define FUNC_NAME s_scm_logxor |
0f2d19dd | 852 | { |
f872b822 | 853 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
854 | { |
855 | if (SCM_UNBNDP (n1)) | |
856 | return SCM_INUM0; | |
8a525303 GB |
857 | #ifndef SCM_RECKLESS |
858 | if (!(SCM_NUMBERP(n1))) | |
859 | badx: SCM_WTA(SCM_ARG1, n1); | |
860 | #endif | |
d28da049 MD |
861 | return n1; |
862 | } | |
8a525303 GB |
863 | #ifdef SCM_BIGDIG |
864 | if SCM_NINUMP(n1) { | |
865 | SCM t; | |
866 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
867 | if SCM_INUMP(n2) | |
868 | { | |
869 | t = n1; | |
870 | n1 = n2; | |
871 | n2 = t; | |
872 | goto intbig; | |
873 | } | |
874 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
875 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) | |
876 | { | |
877 | t = n1; | |
878 | n1 = n2; | |
879 | n2 = t; | |
880 | } | |
881 | return scm_big_xor(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
882 | } | |
883 | if SCM_NINUMP(n2) { | |
884 | # ifndef SCM_RECKLESS | |
885 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
886 | bady: SCM_WTA (SCM_ARG2, n2); | |
887 | # endif | |
888 | intbig: | |
889 | { | |
890 | # ifndef SCM_DIGSTOOBIG | |
891 | long z = scm_pseudolong(SCM_INUM(n1)); | |
f3ae5d60 | 892 | return scm_big_xor((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
893 | # else |
894 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
895 | scm_longdigs(SCM_INUM(n1), zdigs); | |
f3ae5d60 | 896 | return scm_big_xor(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
897 | # endif |
898 | } | |
899 | } | |
900 | #else | |
901 | SCM_ASRTGO(INUMP(n1), badx); | |
902 | SCM_ASSERT(INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
903 | #endif | |
904 | return SCM_MAKINUM(SCM_INUM(n1) ^ SCM_INUM(n2)); | |
0f2d19dd | 905 | } |
1bbd0b84 | 906 | #undef FUNC_NAME |
0f2d19dd | 907 | |
a1ec6916 | 908 | SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0, |
1bbd0b84 | 909 | (SCM n1, SCM n2), |
b380b885 MD |
910 | "@example\n" |
911 | "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n" | |
912 | "(logtest #b0100 #b1011) @result{} #f\n" | |
913 | "(logtest #b0100 #b0111) @result{} #t\n" | |
914 | "@end example") | |
1bbd0b84 | 915 | #define FUNC_NAME s_scm_logtest |
0f2d19dd | 916 | { |
8a525303 GB |
917 | #ifndef SCM_RECKLESS |
918 | if (!(SCM_NUMBERP(n1))) | |
919 | badx: SCM_WTA(SCM_ARG1, n1); | |
920 | #endif | |
921 | #ifdef SCM_BIGDIG | |
922 | if SCM_NINUMP(n1) { | |
923 | SCM t; | |
924 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
925 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
926 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
927 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
928 | return scm_big_test(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
929 | } | |
930 | if SCM_NINUMP(n2) { | |
931 | # ifndef SCM_RECKLESS | |
932 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
933 | bady: SCM_WTA(SCM_ARG2, n2); | |
934 | # endif | |
935 | intbig: { | |
936 | # ifndef SCM_DIGSTOOBIG | |
937 | long z = scm_pseudolong(SCM_INUM(n1)); | |
f3ae5d60 | 938 | return scm_big_test((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
939 | # else |
940 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
941 | scm_longdigs(SCM_INUM(n1), zdigs); | |
f3ae5d60 | 942 | return scm_big_test(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
943 | # endif |
944 | }} | |
945 | #else | |
946 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
947 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
948 | #endif | |
949 | return (SCM_INUM(n1) & SCM_INUM(n2)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 950 | } |
1bbd0b84 | 951 | #undef FUNC_NAME |
0f2d19dd | 952 | |
c1bfcf60 | 953 | |
a1ec6916 | 954 | SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0, |
2cd04b42 | 955 | (SCM index, SCM j), |
b380b885 MD |
956 | "@example\n" |
957 | "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n" | |
958 | "(logbit? 0 #b1101) @result{} #t\n" | |
959 | "(logbit? 1 #b1101) @result{} #f\n" | |
960 | "(logbit? 2 #b1101) @result{} #t\n" | |
961 | "(logbit? 3 #b1101) @result{} #t\n" | |
962 | "(logbit? 4 #b1101) @result{} #f\n" | |
963 | "@end example") | |
1bbd0b84 | 964 | #define FUNC_NAME s_scm_logbit_p |
0f2d19dd | 965 | { |
8a525303 GB |
966 | SCM_ASSERT(SCM_INUMP(index) && SCM_INUM(index) >= 0, index, SCM_ARG1, FUNC_NAME); |
967 | #ifdef SCM_BIGDIG | |
968 | if SCM_NINUMP(j) { | |
969 | SCM_ASSERT(SCM_NIMP(j) && SCM_BIGP(j), j, SCM_ARG2, FUNC_NAME); | |
970 | if (SCM_NUMDIGS(j) * SCM_BITSPERDIG < SCM_INUM(index)) return SCM_BOOL_F; | |
971 | else if SCM_BIGSIGN(j) { | |
972 | long num = -1; | |
973 | scm_sizet i = 0; | |
974 | SCM_BIGDIG *x = SCM_BDIGITS(j); | |
975 | scm_sizet nx = SCM_INUM(index)/SCM_BITSPERDIG; | |
976 | while (!0) { | |
977 | num += x[i]; | |
978 | if (nx==i++) | |
979 | return ((1L << (SCM_INUM(index)%SCM_BITSPERDIG)) & num) ? SCM_BOOL_F : SCM_BOOL_T; | |
980 | if (num < 0) num = -1; | |
981 | else num = 0; | |
982 | } | |
983 | } | |
984 | else return (SCM_BDIGITS(j)[SCM_INUM(index)/SCM_BITSPERDIG] & | |
985 | (1L << (SCM_INUM(index)%SCM_BITSPERDIG))) ? SCM_BOOL_T : SCM_BOOL_F; | |
986 | } | |
987 | #else | |
988 | SCM_ASSERT(SCM_INUMP(j), j, SCM_ARG2, FUNC_NAME); | |
989 | #endif | |
990 | return ((1L << SCM_INUM(index)) & SCM_INUM(j)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 991 | } |
1bbd0b84 | 992 | #undef FUNC_NAME |
0f2d19dd | 993 | |
a1ec6916 | 994 | SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0, |
1bbd0b84 | 995 | (SCM n), |
b380b885 MD |
996 | "Returns the integer which is the 2s-complement of the integer argument.\n\n" |
997 | "Example:\n" | |
998 | "@lisp\n" | |
999 | "(number->string (lognot #b10000000) 2)\n" | |
1000 | " @result{} \"-10000001\"\n" | |
1001 | "(number->string (lognot #b0) 2)\n" | |
1002 | " @result{} \"-1\"\n" | |
1003 | "@end lisp\n" | |
1004 | "") | |
1bbd0b84 | 1005 | #define FUNC_NAME s_scm_lognot |
0f2d19dd | 1006 | { |
f872b822 | 1007 | return scm_difference (SCM_MAKINUM (-1L), n); |
0f2d19dd | 1008 | } |
1bbd0b84 | 1009 | #undef FUNC_NAME |
0f2d19dd | 1010 | |
a1ec6916 | 1011 | SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0, |
2cd04b42 | 1012 | (SCM n, SCM k), |
b380b885 MD |
1013 | "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n" |
1014 | "Example:\n" | |
1015 | "@lisp\n" | |
1016 | "(integer-expt 2 5)\n" | |
1017 | " @result{} 32\n" | |
1018 | "(integer-expt -3 3)\n" | |
1019 | " @result{} -27\n" | |
1020 | "@end lisp") | |
1bbd0b84 | 1021 | #define FUNC_NAME s_scm_integer_expt |
0f2d19dd | 1022 | { |
f872b822 | 1023 | SCM acc = SCM_MAKINUM (1L); |
1bbd0b84 | 1024 | int i2; |
0f2d19dd | 1025 | #ifdef SCM_BIGDIG |
2cd04b42 GB |
1026 | if (SCM_INUM0 == n || acc == n) |
1027 | return n; | |
1028 | else if (SCM_MAKINUM (-1L) == n) | |
1029 | return SCM_BOOL_F == scm_even_p (k) ? n : acc; | |
0f2d19dd | 1030 | #endif |
2cd04b42 | 1031 | SCM_VALIDATE_ULONG_COPY (2,k,i2); |
1bbd0b84 | 1032 | if (i2 < 0) |
f872b822 | 1033 | { |
1bbd0b84 | 1034 | i2 = -i2; |
2cd04b42 | 1035 | n = scm_divide (n, SCM_UNDEFINED); |
f872b822 MD |
1036 | } |
1037 | while (1) | |
1038 | { | |
1bbd0b84 | 1039 | if (0 == i2) |
f872b822 | 1040 | return acc; |
1bbd0b84 | 1041 | if (1 == i2) |
2cd04b42 | 1042 | return scm_product (acc, n); |
1bbd0b84 | 1043 | if (i2 & 1) |
2cd04b42 GB |
1044 | acc = scm_product (acc, n); |
1045 | n = scm_product (n, n); | |
1bbd0b84 | 1046 | i2 >>= 1; |
f872b822 | 1047 | } |
0f2d19dd | 1048 | } |
1bbd0b84 | 1049 | #undef FUNC_NAME |
0f2d19dd | 1050 | |
a1ec6916 | 1051 | SCM_DEFINE (scm_ash, "ash", 2, 0, 0, |
1bbd0b84 | 1052 | (SCM n, SCM cnt), |
b380b885 MD |
1053 | "Returns an integer equivalent to\n" |
1054 | "@code{(inexact->exact (floor (* @var{int} (expt 2 @var{count}))))}.@refill\n\n" | |
1055 | "Example:\n" | |
1056 | "@lisp\n" | |
1057 | "(number->string (ash #b1 3) 2)\n" | |
a3c8b9fc MD |
1058 | " @result{} \"1000\"" |
1059 | "(number->string (ash #b1010 -1) 2)" | |
1060 | " @result{} \"101\"" | |
1061 | "@end lisp") | |
1bbd0b84 | 1062 | #define FUNC_NAME s_scm_ash |
0f2d19dd | 1063 | { |
1bbd0b84 | 1064 | /* GJB:FIXME:: what is going on here? */ |
f1267706 | 1065 | SCM res = SCM_PACK (SCM_INUM (n)); |
3b3b36dd | 1066 | SCM_VALIDATE_INUM (2,cnt); |
0f2d19dd | 1067 | #ifdef SCM_BIGDIG |
f872b822 MD |
1068 | if (cnt < 0) |
1069 | { | |
1070 | res = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-SCM_INUM (cnt))); | |
1071 | if (SCM_NFALSEP (scm_negative_p (n))) | |
1072 | return scm_sum (SCM_MAKINUM (-1L), | |
1073 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), res)); | |
1074 | else | |
1075 | return scm_quotient (n, res); | |
1076 | } | |
1077 | else | |
1078 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); | |
0f2d19dd | 1079 | #else |
3b3b36dd | 1080 | SCM_VALIDATE_INUM (1,n) |
f872b822 MD |
1081 | cnt = SCM_INUM (cnt); |
1082 | if (cnt < 0) | |
1083 | return SCM_MAKINUM (SCM_SRS (res, -cnt)); | |
1084 | res = SCM_MAKINUM (res << cnt); | |
1085 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
1bbd0b84 | 1086 | scm_num_overflow (FUNC_NAME); |
0f2d19dd JB |
1087 | return res; |
1088 | #endif | |
1089 | } | |
1bbd0b84 | 1090 | #undef FUNC_NAME |
0f2d19dd | 1091 | |
1bbd0b84 | 1092 | /* GJB:FIXME: do not use SCMs as integers! */ |
a1ec6916 | 1093 | SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0, |
1bbd0b84 | 1094 | (SCM n, SCM start, SCM end), |
b380b885 MD |
1095 | "Returns the integer composed of the @var{start} (inclusive) through\n" |
1096 | "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n" | |
1097 | "the 0-th bit in the result.@refill\n\n" | |
1098 | "Example:\n" | |
1099 | "@lisp\n" | |
1100 | "(number->string (bit-extract #b1101101010 0 4) 2)\n" | |
1101 | " @result{} \"1010\"\n" | |
1102 | "(number->string (bit-extract #b1101101010 4 9) 2)\n" | |
1103 | " @result{} \"10110\"\n" | |
1104 | "@end lisp") | |
1bbd0b84 | 1105 | #define FUNC_NAME s_scm_bit_extract |
0f2d19dd | 1106 | { |
c1bfcf60 | 1107 | int istart, iend; |
3b3b36dd | 1108 | SCM_VALIDATE_INUM (1,n); |
c1bfcf60 GB |
1109 | SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart); |
1110 | SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend); | |
1111 | SCM_ASSERT_RANGE (3, end, (iend >= istart)); | |
0f2d19dd | 1112 | #ifdef SCM_BIGDIG |
f872b822 | 1113 | if (SCM_NINUMP (n)) |
0f2d19dd | 1114 | return |
f872b822 | 1115 | scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2), |
c1bfcf60 | 1116 | SCM_MAKINUM (iend - istart)), |
f872b822 | 1117 | SCM_MAKINUM (1L)), |
c1bfcf60 | 1118 | scm_ash (n, SCM_MAKINUM (-istart))); |
0f2d19dd | 1119 | #else |
3b3b36dd | 1120 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1121 | #endif |
c1bfcf60 | 1122 | return SCM_MAKINUM ((SCM_INUM (n) >> istart) & ((1L << (iend - istart)) - 1)); |
0f2d19dd | 1123 | } |
1bbd0b84 | 1124 | #undef FUNC_NAME |
0f2d19dd | 1125 | |
e4755e5c JB |
1126 | static const char scm_logtab[] = { |
1127 | 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 | |
1128 | }; | |
1cc91f1b | 1129 | |
a1ec6916 | 1130 | SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0, |
1bbd0b84 | 1131 | (SCM n), |
b380b885 MD |
1132 | "Returns the number of bits in integer @var{n}. If integer is positive,\n" |
1133 | "the 1-bits in its binary representation are counted. If negative, the\n" | |
1134 | "0-bits in its two's-complement binary representation are counted. If 0,\n" | |
1135 | "0 is returned.\n\n" | |
1136 | "Example:\n" | |
1137 | "@lisp\n" | |
1138 | "(logcount #b10101010)\n" | |
1139 | " @result{} 4\n" | |
1140 | "(logcount 0)\n" | |
1141 | " @result{} 0\n" | |
1142 | "(logcount -2)\n" | |
1143 | " @result{} 1\n" | |
1144 | "@end lisp") | |
1bbd0b84 | 1145 | #define FUNC_NAME s_scm_logcount |
0f2d19dd JB |
1146 | { |
1147 | register unsigned long c = 0; | |
1148 | register long nn; | |
1149 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1150 | if (SCM_NINUMP (n)) |
1151 | { | |
1152 | scm_sizet i; | |
1153 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1154 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1155 | if (SCM_BIGSIGN (n)) |
1156 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
1157 | ds = SCM_BDIGITS (n); | |
1158 | for (i = SCM_NUMDIGS (n); i--;) | |
1159 | for (d = ds[i]; d; d >>= 4) | |
1160 | c += scm_logtab[15 & d]; | |
1161 | return SCM_MAKINUM (c); | |
1162 | } | |
0f2d19dd | 1163 | #else |
3b3b36dd | 1164 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1165 | #endif |
f872b822 MD |
1166 | if ((nn = SCM_INUM (n)) < 0) |
1167 | nn = -1 - nn; | |
1168 | for (; nn; nn >>= 4) | |
1169 | c += scm_logtab[15 & nn]; | |
1170 | return SCM_MAKINUM (c); | |
0f2d19dd | 1171 | } |
1bbd0b84 GB |
1172 | #undef FUNC_NAME |
1173 | ||
0f2d19dd | 1174 | |
e4755e5c JB |
1175 | static const char scm_ilentab[] = { |
1176 | 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 | |
1177 | }; | |
1cc91f1b | 1178 | |
a1ec6916 | 1179 | SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0, |
1bbd0b84 | 1180 | (SCM n), |
b380b885 MD |
1181 | "Returns the number of bits neccessary to represent @var{n}.\n\n" |
1182 | "Example:\n" | |
1183 | "@lisp\n" | |
1184 | "(integer-length #b10101010)\n" | |
1185 | " @result{} 8\n" | |
1186 | "(integer-length 0)\n" | |
1187 | " @result{} 0\n" | |
1188 | "(integer-length #b1111)\n" | |
1189 | " @result{} 4\n" | |
1190 | "@end lisp") | |
1bbd0b84 | 1191 | #define FUNC_NAME s_scm_integer_length |
0f2d19dd JB |
1192 | { |
1193 | register unsigned long c = 0; | |
1194 | register long nn; | |
1195 | unsigned int l = 4; | |
1196 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1197 | if (SCM_NINUMP (n)) |
1198 | { | |
1199 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1200 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1201 | if (SCM_BIGSIGN (n)) |
1202 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
1203 | ds = SCM_BDIGITS (n); | |
1204 | d = ds[c = SCM_NUMDIGS (n) - 1]; | |
1205 | for (c *= SCM_BITSPERDIG; d; d >>= 4) | |
1206 | { | |
1207 | c += 4; | |
1208 | l = scm_ilentab[15 & d]; | |
1209 | } | |
1210 | return SCM_MAKINUM (c - 4 + l); | |
1211 | } | |
0f2d19dd | 1212 | #else |
3b3b36dd | 1213 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1214 | #endif |
f872b822 MD |
1215 | if ((nn = SCM_INUM (n)) < 0) |
1216 | nn = -1 - nn; | |
1217 | for (; nn; nn >>= 4) | |
1218 | { | |
1219 | c += 4; | |
1220 | l = scm_ilentab[15 & nn]; | |
1221 | } | |
1222 | return SCM_MAKINUM (c - 4 + l); | |
0f2d19dd | 1223 | } |
1bbd0b84 | 1224 | #undef FUNC_NAME |
0f2d19dd JB |
1225 | |
1226 | ||
1227 | #ifdef SCM_BIGDIG | |
e4755e5c | 1228 | static const char s_bignum[] = "bignum"; |
1cc91f1b | 1229 | |
0f2d19dd | 1230 | SCM |
1bbd0b84 | 1231 | scm_mkbig (scm_sizet nlen, int sign) |
0f2d19dd | 1232 | { |
c209c88e GB |
1233 | SCM v; |
1234 | /* Cast to long int to avoid signed/unsigned comparison warnings. */ | |
f3ae5d60 MD |
1235 | if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) |
1236 | != (long int) nlen) | |
e4755e5c | 1237 | scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, s_bignum); |
c209c88e | 1238 | |
f872b822 | 1239 | SCM_NEWCELL (v); |
0f2d19dd | 1240 | SCM_DEFER_INTS; |
f872b822 | 1241 | SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)), |
e4755e5c | 1242 | s_bignum)); |
f3ae5d60 | 1243 | SCM_SETNUMDIGS (v, nlen, sign); |
0f2d19dd JB |
1244 | SCM_ALLOW_INTS; |
1245 | return v; | |
1246 | } | |
1247 | ||
1cc91f1b | 1248 | |
0f2d19dd | 1249 | SCM |
1bbd0b84 | 1250 | scm_big2inum (SCM b, scm_sizet l) |
0f2d19dd JB |
1251 | { |
1252 | unsigned long num = 0; | |
f872b822 MD |
1253 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
1254 | while (l--) | |
1255 | num = SCM_BIGUP (num) + tmp[l]; | |
f3ae5d60 | 1256 | if (!SCM_BIGSIGN (b)) |
f872b822 MD |
1257 | { |
1258 | if (SCM_POSFIXABLE (num)) | |
1259 | return SCM_MAKINUM (num); | |
1260 | } | |
1261 | else if (SCM_UNEGFIXABLE (num)) | |
1262 | return SCM_MAKINUM (-num); | |
0f2d19dd JB |
1263 | return b; |
1264 | } | |
1265 | ||
1266 | ||
e4755e5c | 1267 | static const char s_adjbig[] = "scm_adjbig"; |
1cc91f1b | 1268 | |
0f2d19dd | 1269 | SCM |
1bbd0b84 | 1270 | scm_adjbig (SCM b, scm_sizet nlen) |
0f2d19dd | 1271 | { |
2bf746cc | 1272 | scm_sizet nsiz = nlen; |
f3ae5d60 | 1273 | if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen) |
f872b822 | 1274 | scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig); |
2bf746cc | 1275 | |
0f2d19dd | 1276 | SCM_DEFER_INTS; |
2bf746cc JB |
1277 | { |
1278 | SCM_BIGDIG *digits | |
1279 | = ((SCM_BIGDIG *) | |
f872b822 MD |
1280 | scm_must_realloc ((char *) SCM_CHARS (b), |
1281 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), | |
1282 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_adjbig)); | |
2bf746cc JB |
1283 | |
1284 | SCM_SETCHARS (b, digits); | |
f3ae5d60 | 1285 | SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b)); |
2bf746cc | 1286 | } |
0f2d19dd JB |
1287 | SCM_ALLOW_INTS; |
1288 | return b; | |
1289 | } | |
1290 | ||
1291 | ||
1cc91f1b | 1292 | |
0f2d19dd | 1293 | SCM |
1bbd0b84 | 1294 | scm_normbig (SCM b) |
0f2d19dd | 1295 | { |
f872b822 MD |
1296 | #ifndef _UNICOS |
1297 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 1298 | #else |
f872b822 | 1299 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 1300 | #endif |
f872b822 MD |
1301 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
1302 | while (nlen-- && !zds[nlen]); | |
1303 | nlen++; | |
1304 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
1305 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
1306 | return b; | |
1307 | if (SCM_NUMDIGS (b) == nlen) | |
1308 | return b; | |
1309 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
1310 | } |
1311 | ||
1312 | ||
1cc91f1b | 1313 | |
0f2d19dd | 1314 | SCM |
1bbd0b84 | 1315 | scm_copybig (SCM b, int sign) |
0f2d19dd | 1316 | { |
f872b822 MD |
1317 | scm_sizet i = SCM_NUMDIGS (b); |
1318 | SCM ans = scm_mkbig (i, sign); | |
1319 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
1320 | while (i--) | |
1321 | dst[i] = src[i]; | |
0f2d19dd JB |
1322 | return ans; |
1323 | } | |
1324 | ||
1325 | ||
1cc91f1b | 1326 | |
0f2d19dd | 1327 | SCM |
1bbd0b84 | 1328 | scm_long2big (long n) |
0f2d19dd JB |
1329 | { |
1330 | scm_sizet i = 0; | |
1331 | SCM_BIGDIG *digits; | |
f872b822 MD |
1332 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
1333 | digits = SCM_BDIGITS (ans); | |
1334 | if (n < 0) | |
1335 | n = -n; | |
1336 | while (i < SCM_DIGSPERLONG) | |
1337 | { | |
1338 | digits[i++] = SCM_BIGLO (n); | |
1339 | n = SCM_BIGDN ((unsigned long) n); | |
1340 | } | |
0f2d19dd JB |
1341 | return ans; |
1342 | } | |
1343 | ||
5c11cc9d | 1344 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 1345 | |
0f2d19dd | 1346 | SCM |
1bbd0b84 | 1347 | scm_long_long2big (long_long n) |
0f2d19dd JB |
1348 | { |
1349 | scm_sizet i; | |
1350 | SCM_BIGDIG *digits; | |
1351 | SCM ans; | |
1352 | int n_digits; | |
1353 | ||
1354 | { | |
1355 | long tn; | |
1356 | tn = (long) n; | |
f872b822 | 1357 | if ((long long) tn == n) |
0f2d19dd JB |
1358 | return scm_long2big (tn); |
1359 | } | |
1360 | ||
1361 | { | |
1362 | long_long tn; | |
1363 | ||
1364 | for (tn = n, n_digits = 0; | |
1365 | tn; | |
f872b822 | 1366 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
1367 | ; |
1368 | } | |
1369 | ||
1370 | i = 0; | |
f872b822 MD |
1371 | ans = scm_mkbig (n_digits, n < 0); |
1372 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1373 | if (n < 0) |
1374 | n = -n; | |
f872b822 MD |
1375 | while (i < n_digits) |
1376 | { | |
1377 | digits[i++] = SCM_BIGLO (n); | |
1378 | n = SCM_BIGDN ((ulong_long) n); | |
1379 | } | |
0f2d19dd JB |
1380 | return ans; |
1381 | } | |
1382 | #endif | |
1383 | ||
1cc91f1b | 1384 | |
0f2d19dd | 1385 | SCM |
1bbd0b84 | 1386 | scm_2ulong2big (unsigned long *np) |
0f2d19dd JB |
1387 | { |
1388 | unsigned long n; | |
1389 | scm_sizet i; | |
1390 | SCM_BIGDIG *digits; | |
1391 | SCM ans; | |
1392 | ||
f872b822 MD |
1393 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1394 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1395 | |
1396 | n = np[0]; | |
1397 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1398 | { | |
f872b822 MD |
1399 | digits[i] = SCM_BIGLO (n); |
1400 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1401 | } |
1402 | n = np[1]; | |
1403 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1404 | { | |
f872b822 MD |
1405 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1406 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1407 | } |
1408 | return ans; | |
1409 | } | |
1410 | ||
1411 | ||
1cc91f1b | 1412 | |
0f2d19dd | 1413 | SCM |
1bbd0b84 | 1414 | scm_ulong2big (unsigned long n) |
0f2d19dd JB |
1415 | { |
1416 | scm_sizet i = 0; | |
1417 | SCM_BIGDIG *digits; | |
f872b822 MD |
1418 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1419 | digits = SCM_BDIGITS (ans); | |
1420 | while (i < SCM_DIGSPERLONG) | |
1421 | { | |
1422 | digits[i++] = SCM_BIGLO (n); | |
1423 | n = SCM_BIGDN (n); | |
1424 | } | |
0f2d19dd JB |
1425 | return ans; |
1426 | } | |
1427 | ||
1428 | ||
1cc91f1b | 1429 | |
0f2d19dd | 1430 | int |
1bbd0b84 | 1431 | scm_bigcomp (SCM x, SCM y) |
0f2d19dd | 1432 | { |
f872b822 MD |
1433 | int xsign = SCM_BIGSIGN (x); |
1434 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1435 | scm_sizet xlen, ylen; |
2bf746cc JB |
1436 | |
1437 | /* Look at the signs, first. */ | |
f872b822 MD |
1438 | if (ysign < xsign) |
1439 | return 1; | |
1440 | if (ysign > xsign) | |
1441 | return -1; | |
2bf746cc JB |
1442 | |
1443 | /* They're the same sign, so see which one has more digits. Note | |
1444 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1445 | ylen = SCM_NUMDIGS (y); |
1446 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1447 | if (ylen > xlen) |
1448 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1449 | if (ylen < xlen) |
1450 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1451 | |
1452 | /* They have the same number of digits, so find the most significant | |
1453 | digit where they differ. */ | |
1454 | while (xlen) | |
1455 | { | |
1456 | --xlen; | |
1457 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1458 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1459 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1460 | ? (xsign ? -1 : 1) | |
1461 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1462 | } |
1463 | ||
1464 | /* The numbers are identical. */ | |
1465 | return 0; | |
0f2d19dd JB |
1466 | } |
1467 | ||
1468 | #ifndef SCM_DIGSTOOBIG | |
1469 | ||
1cc91f1b | 1470 | |
0f2d19dd | 1471 | long |
1bbd0b84 | 1472 | scm_pseudolong (long x) |
0f2d19dd | 1473 | { |
f872b822 MD |
1474 | union |
1475 | { | |
0f2d19dd JB |
1476 | long l; |
1477 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1478 | } |
1479 | p; | |
0f2d19dd | 1480 | scm_sizet i = 0; |
f872b822 MD |
1481 | if (x < 0) |
1482 | x = -x; | |
1483 | while (i < SCM_DIGSPERLONG) | |
1484 | { | |
1485 | p.bd[i++] = SCM_BIGLO (x); | |
1486 | x = SCM_BIGDN (x); | |
1487 | } | |
0f2d19dd JB |
1488 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1489 | return p.l; | |
1490 | } | |
1491 | ||
1492 | #else | |
1493 | ||
1cc91f1b | 1494 | |
0f2d19dd | 1495 | void |
1bbd0b84 | 1496 | scm_longdigs (long x, SCM_BIGDIG digs[]) |
0f2d19dd JB |
1497 | { |
1498 | scm_sizet i = 0; | |
f872b822 MD |
1499 | if (x < 0) |
1500 | x = -x; | |
1501 | while (i < SCM_DIGSPERLONG) | |
1502 | { | |
1503 | digs[i++] = SCM_BIGLO (x); | |
1504 | x = SCM_BIGDN (x); | |
1505 | } | |
0f2d19dd JB |
1506 | } |
1507 | #endif | |
1508 | ||
1509 | ||
1cc91f1b | 1510 | |
0f2d19dd | 1511 | SCM |
1bbd0b84 | 1512 | scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) |
0f2d19dd JB |
1513 | { |
1514 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 1515 | /* Assumes xsgn and sgny scm_equal either 0 or SCM_BIGSIGNFLAG */ |
0f2d19dd | 1516 | long num = 0; |
f872b822 MD |
1517 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1518 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1519 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1520 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1521 | { | |
1522 | do | |
1523 | { | |
1524 | num += (long) zds[i] - x[i]; | |
1525 | if (num < 0) | |
1526 | { | |
1527 | zds[i] = num + SCM_BIGRAD; | |
1528 | num = -1; | |
1529 | } | |
1530 | else | |
1531 | { | |
1532 | zds[i] = SCM_BIGLO (num); | |
1533 | num = 0; | |
1534 | } | |
1535 | } | |
1536 | while (++i < nx); | |
1537 | if (num && nx == ny) | |
1538 | { | |
1539 | num = 1; | |
1540 | i = 0; | |
f3ae5d60 | 1541 | SCM_SETCAR (z, SCM_UNPACK_CAR (z) ^ SCM_BIGSIGNFLAG); |
f872b822 MD |
1542 | do |
1543 | { | |
1544 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1545 | zds[i++] = SCM_BIGLO (num); | |
1546 | num = SCM_BIGDN (num); | |
1547 | } | |
1548 | while (i < ny); | |
1549 | } | |
1550 | else | |
1551 | while (i < ny) | |
1552 | { | |
1553 | num += zds[i]; | |
1554 | if (num < 0) | |
1555 | { | |
1556 | zds[i++] = num + SCM_BIGRAD; | |
1557 | num = -1; | |
1558 | } | |
1559 | else | |
1560 | { | |
1561 | zds[i++] = SCM_BIGLO (num); | |
1562 | num = 0; | |
1563 | } | |
1564 | } | |
1565 | } | |
1566 | else | |
1567 | { | |
1568 | do | |
1569 | { | |
1570 | num += (long) zds[i] + x[i]; | |
1571 | zds[i++] = SCM_BIGLO (num); | |
1572 | num = SCM_BIGDN (num); | |
1573 | } | |
1574 | while (i < nx); | |
1575 | if (!num) | |
1576 | return z; | |
1577 | while (i < ny) | |
1578 | { | |
1579 | num += zds[i]; | |
1580 | zds[i++] = SCM_BIGLO (num); | |
1581 | num = SCM_BIGDN (num); | |
1582 | if (!num) | |
1583 | return z; | |
1584 | } | |
1585 | if (num) | |
1586 | { | |
1587 | z = scm_adjbig (z, ny + 1); | |
1588 | SCM_BDIGITS (z)[ny] = num; | |
1589 | return z; | |
1590 | } | |
1591 | } | |
1592 | return scm_normbig (z); | |
0f2d19dd JB |
1593 | } |
1594 | ||
1cc91f1b | 1595 | |
0f2d19dd | 1596 | SCM |
1bbd0b84 | 1597 | scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) |
0f2d19dd JB |
1598 | { |
1599 | scm_sizet i = 0, j = nx + ny; | |
1600 | unsigned long n = 0; | |
f872b822 MD |
1601 | SCM z = scm_mkbig (j, sgn); |
1602 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1603 | while (j--) | |
1604 | zds[j] = 0; | |
1605 | do | |
1606 | { | |
1607 | j = 0; | |
1608 | if (x[i]) | |
1609 | { | |
1610 | do | |
1611 | { | |
1612 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1613 | zds[i + j++] = SCM_BIGLO (n); | |
1614 | n = SCM_BIGDN (n); | |
1615 | } | |
1616 | while (j < ny); | |
1617 | if (n) | |
1618 | { | |
1619 | zds[i + j] = n; | |
1620 | n = 0; | |
1621 | } | |
1622 | } | |
0f2d19dd | 1623 | } |
f872b822 MD |
1624 | while (++i < nx); |
1625 | return scm_normbig (z); | |
0f2d19dd JB |
1626 | } |
1627 | ||
1cc91f1b | 1628 | |
805df3e8 JB |
1629 | /* Sun's compiler complains about the fact that this function has an |
1630 | ANSI prototype in numbers.h, but a K&R declaration here, and the | |
1631 | two specify different promotions for the third argument. I'm going | |
1632 | to turn this into an ANSI declaration, and see if anyone complains | |
1633 | about it not being K&R. */ | |
1634 | ||
0f2d19dd | 1635 | unsigned int |
f872b822 MD |
1636 | scm_divbigdig (SCM_BIGDIG * ds, |
1637 | scm_sizet h, | |
1638 | SCM_BIGDIG div) | |
0f2d19dd JB |
1639 | { |
1640 | register unsigned long t2 = 0; | |
f872b822 MD |
1641 | while (h--) |
1642 | { | |
1643 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1644 | ds[h] = t2 / div; | |
1645 | t2 %= div; | |
1646 | } | |
0f2d19dd JB |
1647 | return t2; |
1648 | } | |
1649 | ||
1650 | ||
1cc91f1b | 1651 | |
0f2d19dd | 1652 | SCM |
1bbd0b84 | 1653 | scm_divbigint (SCM x, long z, int sgn, int mode) |
0f2d19dd | 1654 | { |
f872b822 MD |
1655 | if (z < 0) |
1656 | z = -z; | |
1657 | if (z < SCM_BIGRAD) | |
1658 | { | |
1659 | register unsigned long t2 = 0; | |
1660 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1661 | scm_sizet nd = SCM_NUMDIGS (x); | |
1662 | while (nd--) | |
1663 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1664 | if (mode && t2) | |
1665 | t2 = z - t2; | |
1666 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1667 | } | |
0f2d19dd JB |
1668 | { |
1669 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1670 | unsigned long t2 = scm_pseudolong (z); |
1671 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1672 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1673 | sgn, mode); | |
0f2d19dd JB |
1674 | #else |
1675 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1676 | scm_longdigs (z, t2); |
1677 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1678 | t2, SCM_DIGSPERLONG, | |
1679 | sgn, mode); | |
0f2d19dd JB |
1680 | #endif |
1681 | } | |
1682 | } | |
1683 | ||
1cc91f1b | 1684 | |
0f2d19dd | 1685 | SCM |
1bbd0b84 | 1686 | scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) |
0f2d19dd JB |
1687 | { |
1688 | /* modes description | |
f872b822 MD |
1689 | 0 remainder |
1690 | 1 scm_modulo | |
1691 | 2 quotient | |
1692 | 3 quotient but returns 0 if division is not exact. */ | |
0f2d19dd JB |
1693 | scm_sizet i = 0, j = 0; |
1694 | long num = 0; | |
1695 | unsigned long t2 = 0; | |
1696 | SCM z, newy; | |
f872b822 | 1697 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1698 | /* algorithm requires nx >= ny */ |
1699 | if (nx < ny) | |
f872b822 MD |
1700 | switch (modes) |
1701 | { | |
1702 | case 0: /* remainder -- just return x */ | |
1703 | z = scm_mkbig (nx, sgn); | |
1704 | zds = SCM_BDIGITS (z); | |
1705 | do | |
1706 | { | |
1707 | zds[i] = x[i]; | |
1708 | } | |
1709 | while (++i < nx); | |
1710 | return z; | |
1711 | case 1: /* scm_modulo -- return y-x */ | |
1712 | z = scm_mkbig (ny, sgn); | |
1713 | zds = SCM_BDIGITS (z); | |
1714 | do | |
1715 | { | |
1716 | num += (long) y[i] - x[i]; | |
1717 | if (num < 0) | |
1718 | { | |
1719 | zds[i] = num + SCM_BIGRAD; | |
1720 | num = -1; | |
1721 | } | |
1722 | else | |
1723 | { | |
1724 | zds[i] = num; | |
1725 | num = 0; | |
1726 | } | |
1727 | } | |
1728 | while (++i < nx); | |
1729 | while (i < ny) | |
1730 | { | |
1731 | num += y[i]; | |
1732 | if (num < 0) | |
1733 | { | |
1734 | zds[i++] = num + SCM_BIGRAD; | |
1735 | num = -1; | |
1736 | } | |
1737 | else | |
1738 | { | |
1739 | zds[i++] = num; | |
1740 | num = 0; | |
1741 | } | |
1742 | } | |
1743 | goto doadj; | |
1744 | case 2: | |
1745 | return SCM_INUM0; /* quotient is zero */ | |
1746 | case 3: | |
1747 | return 0; /* the division is not exact */ | |
0f2d19dd | 1748 | } |
f872b822 MD |
1749 | |
1750 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1751 | zds = SCM_BDIGITS (z); | |
1752 | if (nx == ny) | |
1753 | zds[nx + 1] = 0; | |
1754 | while (!y[ny - 1]) | |
1755 | ny--; /* in case y came in as a psuedolong */ | |
1756 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1757 | { /* normalize operands */ | |
1758 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1759 | newy = scm_mkbig (ny, 0); | |
1760 | yds = SCM_BDIGITS (newy); | |
1761 | while (j < ny) | |
1762 | { | |
1763 | t2 += (unsigned long) y[j] * d; | |
1764 | yds[j++] = SCM_BIGLO (t2); | |
1765 | t2 = SCM_BIGDN (t2); | |
1766 | } | |
1767 | y = yds; | |
1768 | j = 0; | |
1769 | t2 = 0; | |
1770 | while (j < nx) | |
1771 | { | |
1772 | t2 += (unsigned long) x[j] * d; | |
1773 | zds[j++] = SCM_BIGLO (t2); | |
1774 | t2 = SCM_BIGDN (t2); | |
1775 | } | |
1776 | zds[j] = t2; | |
1777 | } | |
1778 | else | |
1779 | { | |
1780 | zds[j = nx] = 0; | |
1781 | while (j--) | |
1782 | zds[j] = x[j]; | |
1783 | } | |
1784 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1785 | do | |
1786 | { /* loop over digits of quotient */ | |
1787 | if (zds[j] == y[ny - 1]) | |
1788 | qhat = SCM_BIGRAD - 1; | |
1789 | else | |
1790 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1791 | if (!qhat) | |
1792 | continue; | |
1793 | i = 0; | |
1794 | num = 0; | |
1795 | t2 = 0; | |
1796 | do | |
1797 | { /* multiply and subtract */ | |
1798 | t2 += (unsigned long) y[i] * qhat; | |
1799 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1800 | if (num < 0) | |
1801 | { | |
1802 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1803 | num = -1; | |
1804 | } | |
1805 | else | |
1806 | { | |
1807 | zds[j - ny + i] = num; | |
1808 | num = 0; | |
1809 | } | |
1810 | t2 = SCM_BIGDN (t2); | |
1811 | } | |
1812 | while (++i < ny); | |
1813 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1814 | while (num) | |
1815 | { /* "add back" required */ | |
1816 | i = 0; | |
1817 | num = 0; | |
1818 | qhat--; | |
1819 | do | |
1820 | { | |
1821 | num += (long) zds[j - ny + i] + y[i]; | |
1822 | zds[j - ny + i] = SCM_BIGLO (num); | |
1823 | num = SCM_BIGDN (num); | |
1824 | } | |
1825 | while (++i < ny); | |
1826 | num--; | |
1827 | } | |
1828 | if (modes & 2) | |
1829 | zds[j] = qhat; | |
1830 | } | |
1831 | while (--j >= ny); | |
1832 | switch (modes) | |
1833 | { | |
1834 | case 3: /* check that remainder==0 */ | |
1835 | for (j = ny; j && !zds[j - 1]; --j); | |
1836 | if (j) | |
1837 | return 0; | |
1838 | case 2: /* move quotient down in z */ | |
1839 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1840 | for (i = 0; i < j; i++) | |
1841 | zds[i] = zds[i + ny]; | |
1842 | ny = i; | |
1843 | break; | |
1844 | case 1: /* subtract for scm_modulo */ | |
1845 | i = 0; | |
1846 | num = 0; | |
1847 | j = 0; | |
1848 | do | |
1849 | { | |
1850 | num += y[i] - zds[i]; | |
1851 | j = j | zds[i]; | |
1852 | if (num < 0) | |
1853 | { | |
1854 | zds[i] = num + SCM_BIGRAD; | |
1855 | num = -1; | |
1856 | } | |
1857 | else | |
1858 | { | |
1859 | zds[i] = num; | |
1860 | num = 0; | |
1861 | } | |
1862 | } | |
1863 | while (++i < ny); | |
1864 | if (!j) | |
1865 | return SCM_INUM0; | |
1866 | case 0: /* just normalize remainder */ | |
1867 | if (d) | |
1868 | scm_divbigdig (zds, ny, d); | |
1869 | } | |
0f2d19dd | 1870 | doadj: |
f872b822 MD |
1871 | for (j = ny; j && !zds[j - 1]; --j); |
1872 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1873 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
1874 | return z; | |
1875 | return scm_adjbig (z, j); | |
0f2d19dd JB |
1876 | } |
1877 | #endif | |
f872b822 | 1878 | \f |
0f2d19dd JB |
1879 | |
1880 | ||
1881 | ||
0f2d19dd JB |
1882 | |
1883 | /*** NUMBERS -> STRINGS ***/ | |
0f2d19dd | 1884 | int scm_dblprec; |
e4755e5c | 1885 | static const double fx[] = |
f872b822 MD |
1886 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, |
1887 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
1888 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
1889 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
1890 | |
1891 | ||
1892 | ||
1cc91f1b | 1893 | |
0f2d19dd | 1894 | static scm_sizet |
1bbd0b84 | 1895 | idbl2str (double f, char *a) |
0f2d19dd JB |
1896 | { |
1897 | int efmt, dpt, d, i, wp = scm_dblprec; | |
1898 | scm_sizet ch = 0; | |
1899 | int exp = 0; | |
1900 | ||
f872b822 MD |
1901 | if (f == 0.0) |
1902 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
1903 | if (f < 0.0) | |
1904 | { | |
1905 | f = -f; | |
1906 | a[ch++] = '-'; | |
1907 | } | |
1908 | else if (f > 0.0); | |
1909 | else | |
1910 | goto funny; | |
1911 | if (IS_INF (f)) | |
1912 | { | |
1913 | if (ch == 0) | |
1914 | a[ch++] = '+'; | |
1915 | funny: | |
1916 | a[ch++] = '#'; | |
1917 | a[ch++] = '.'; | |
1918 | a[ch++] = '#'; | |
1919 | return ch; | |
1920 | } | |
1921 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
1922 | make-uniform-vector, from causing infinite loops. */ | |
1923 | while (f < 1.0) | |
1924 | { | |
1925 | f *= 10.0; | |
1926 | if (exp-- < DBL_MIN_10_EXP) | |
1927 | goto funny; | |
1928 | } | |
1929 | while (f > 10.0) | |
1930 | { | |
1931 | f *= 0.10; | |
1932 | if (exp++ > DBL_MAX_10_EXP) | |
1933 | goto funny; | |
1934 | } | |
1935 | #else | |
1936 | while (f < 1.0) | |
1937 | { | |
1938 | f *= 10.0; | |
1939 | exp--; | |
1940 | } | |
1941 | while (f > 10.0) | |
1942 | { | |
1943 | f /= 10.0; | |
1944 | exp++; | |
1945 | } | |
1946 | #endif | |
1947 | if (f + fx[wp] >= 10.0) | |
1948 | { | |
1949 | f = 1.0; | |
1950 | exp++; | |
1951 | } | |
0f2d19dd | 1952 | zero: |
f872b822 MD |
1953 | #ifdef ENGNOT |
1954 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
1955 | exp -= dpt++; |
1956 | efmt = 1; | |
f872b822 MD |
1957 | #else |
1958 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 1959 | if (!efmt) |
cda139a7 MD |
1960 | { |
1961 | if (exp < 0) | |
1962 | { | |
1963 | a[ch++] = '0'; | |
1964 | a[ch++] = '.'; | |
1965 | dpt = exp; | |
f872b822 MD |
1966 | while (++dpt) |
1967 | a[ch++] = '0'; | |
cda139a7 MD |
1968 | } |
1969 | else | |
f872b822 | 1970 | dpt = exp + 1; |
cda139a7 | 1971 | } |
0f2d19dd JB |
1972 | else |
1973 | dpt = 1; | |
f872b822 MD |
1974 | #endif |
1975 | ||
1976 | do | |
1977 | { | |
1978 | d = f; | |
1979 | f -= d; | |
1980 | a[ch++] = d + '0'; | |
1981 | if (f < fx[wp]) | |
1982 | break; | |
1983 | if (f + fx[wp] >= 1.0) | |
1984 | { | |
1985 | a[ch - 1]++; | |
1986 | break; | |
1987 | } | |
1988 | f *= 10.0; | |
1989 | if (!(--dpt)) | |
1990 | a[ch++] = '.'; | |
0f2d19dd | 1991 | } |
f872b822 | 1992 | while (wp--); |
0f2d19dd JB |
1993 | |
1994 | if (dpt > 0) | |
cda139a7 | 1995 | { |
f872b822 | 1996 | #ifndef ENGNOT |
cda139a7 MD |
1997 | if ((dpt > 4) && (exp > 6)) |
1998 | { | |
f872b822 | 1999 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 2000 | for (i = ch++; i > d; i--) |
f872b822 | 2001 | a[i] = a[i - 1]; |
cda139a7 MD |
2002 | a[d] = '.'; |
2003 | efmt = 1; | |
2004 | } | |
2005 | else | |
f872b822 | 2006 | #endif |
cda139a7 | 2007 | { |
f872b822 MD |
2008 | while (--dpt) |
2009 | a[ch++] = '0'; | |
cda139a7 MD |
2010 | a[ch++] = '.'; |
2011 | } | |
2012 | } | |
f872b822 MD |
2013 | if (a[ch - 1] == '.') |
2014 | a[ch++] = '0'; /* trailing zero */ | |
2015 | if (efmt && exp) | |
2016 | { | |
2017 | a[ch++] = 'e'; | |
2018 | if (exp < 0) | |
2019 | { | |
2020 | exp = -exp; | |
2021 | a[ch++] = '-'; | |
2022 | } | |
2023 | for (i = 10; i <= exp; i *= 10); | |
2024 | for (i /= 10; i; i /= 10) | |
2025 | { | |
2026 | a[ch++] = exp / i + '0'; | |
2027 | exp %= i; | |
2028 | } | |
0f2d19dd | 2029 | } |
0f2d19dd JB |
2030 | return ch; |
2031 | } | |
2032 | ||
1cc91f1b | 2033 | |
0f2d19dd | 2034 | static scm_sizet |
1bbd0b84 | 2035 | iflo2str (SCM flt, char *str) |
0f2d19dd JB |
2036 | { |
2037 | scm_sizet i; | |
f3ae5d60 MD |
2038 | if (SCM_SLOPPY_REALP (flt)) |
2039 | i = idbl2str (SCM_REAL_VALUE (flt), str); | |
0f2d19dd | 2040 | else |
f872b822 | 2041 | { |
f3ae5d60 MD |
2042 | i = idbl2str (SCM_COMPLEX_REAL (flt), str); |
2043 | if (SCM_COMPLEX_IMAG (flt) != 0.0) | |
2044 | { | |
2045 | if (0 <= SCM_COMPLEX_IMAG (flt)) | |
2046 | str[i++] = '+'; | |
2047 | i += idbl2str (SCM_COMPLEX_IMAG (flt), &str[i]); | |
2048 | str[i++] = 'i'; | |
2049 | } | |
f872b822 | 2050 | } |
0f2d19dd JB |
2051 | return i; |
2052 | } | |
0f2d19dd | 2053 | |
5c11cc9d | 2054 | /* convert a long to a string (unterminated). returns the number of |
1bbd0b84 GB |
2055 | characters in the result. |
2056 | rad is output base | |
2057 | p is destination: worst case (base 2) is SCM_INTBUFLEN */ | |
0f2d19dd | 2058 | scm_sizet |
1bbd0b84 | 2059 | scm_iint2str (long num, int rad, char *p) |
0f2d19dd | 2060 | { |
5c11cc9d GH |
2061 | scm_sizet j = 1; |
2062 | scm_sizet i; | |
2063 | unsigned long n = (num < 0) ? -num : num; | |
2064 | ||
f872b822 | 2065 | for (n /= rad; n > 0; n /= rad) |
5c11cc9d GH |
2066 | j++; |
2067 | ||
2068 | i = j; | |
2069 | if (num < 0) | |
f872b822 | 2070 | { |
f872b822 | 2071 | *p++ = '-'; |
5c11cc9d GH |
2072 | j++; |
2073 | n = -num; | |
f872b822 | 2074 | } |
5c11cc9d GH |
2075 | else |
2076 | n = num; | |
f872b822 MD |
2077 | while (i--) |
2078 | { | |
5c11cc9d GH |
2079 | int d = n % rad; |
2080 | ||
f872b822 MD |
2081 | n /= rad; |
2082 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
2083 | } | |
0f2d19dd JB |
2084 | return j; |
2085 | } | |
2086 | ||
2087 | ||
2088 | #ifdef SCM_BIGDIG | |
1cc91f1b | 2089 | |
0f2d19dd | 2090 | static SCM |
1bbd0b84 | 2091 | big2str (SCM b, unsigned int radix) |
0f2d19dd | 2092 | { |
f872b822 MD |
2093 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
2094 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
2095 | scm_sizet i = SCM_NUMDIGS (t); | |
2096 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
2097 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
2098 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
2099 | scm_sizet k = 0; |
2100 | scm_sizet radct = 0; | |
2101 | scm_sizet ch; /* jeh */ | |
2102 | SCM_BIGDIG radpow = 1, radmod = 0; | |
f872b822 MD |
2103 | SCM ss = scm_makstr ((long) j, 0); |
2104 | char *s = SCM_CHARS (ss), c; | |
2105 | while ((long) radpow * radix < SCM_BIGRAD) | |
2106 | { | |
2107 | radpow *= radix; | |
2108 | radct++; | |
2109 | } | |
f3ae5d60 | 2110 | s[0] = SCM_BIGSIGN (b) ? '-' : '+'; |
f872b822 MD |
2111 | while ((i || radmod) && j) |
2112 | { | |
2113 | if (k == 0) | |
2114 | { | |
2115 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
2116 | k = radct; | |
2117 | if (!ds[i - 1]) | |
2118 | i--; | |
2119 | } | |
2120 | c = radmod % radix; | |
2121 | radmod /= radix; | |
2122 | k--; | |
2123 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
2124 | } | |
0f2d19dd | 2125 | ch = s[0] == '-' ? 1 : 0; /* jeh */ |
f872b822 MD |
2126 | if (ch < j) |
2127 | { /* jeh */ | |
2128 | for (i = j; j < SCM_LENGTH (ss); j++) | |
2129 | s[ch + j - i] = s[j]; /* jeh */ | |
2130 | scm_vector_set_length_x (ss, /* jeh */ | |
2131 | (SCM) SCM_MAKINUM (ch + SCM_LENGTH (ss) - i)); | |
2132 | } | |
b098016b JB |
2133 | |
2134 | return scm_return_first (ss, t); | |
0f2d19dd JB |
2135 | } |
2136 | #endif | |
2137 | ||
2138 | ||
a1ec6916 | 2139 | SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0, |
1bbd0b84 | 2140 | (SCM x, SCM radix), |
b380b885 | 2141 | "") |
1bbd0b84 | 2142 | #define FUNC_NAME s_scm_number_to_string |
0f2d19dd | 2143 | { |
1bbd0b84 | 2144 | int base; |
3b3b36dd | 2145 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); |
f872b822 MD |
2146 | if (SCM_NINUMP (x)) |
2147 | { | |
2148 | char num_buf[SCM_FLOBUFLEN]; | |
2149 | #ifdef SCM_BIGDIG | |
2150 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
2151 | if (SCM_BIGP (x)) | |
1bbd0b84 | 2152 | return big2str (x, (unsigned int) base); |
f872b822 | 2153 | #ifndef SCM_RECKLESS |
f3ae5d60 | 2154 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 MD |
2155 | { |
2156 | badx: | |
4638e087 | 2157 | SCM_WTA (1, x); |
f872b822 MD |
2158 | } |
2159 | #endif | |
0f2d19dd | 2160 | #else |
f3ae5d60 | 2161 | SCM_ASSERT (SCM_SLOPPY_INEXACTP (x), |
f872b822 | 2162 | x, SCM_ARG1, s_number_to_string); |
0f2d19dd | 2163 | #endif |
f872b822 MD |
2164 | return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0); |
2165 | } | |
f872b822 MD |
2166 | { |
2167 | char num_buf[SCM_INTBUFLEN]; | |
2168 | return scm_makfromstr (num_buf, | |
2169 | scm_iint2str (SCM_INUM (x), | |
1bbd0b84 | 2170 | base, |
f872b822 MD |
2171 | num_buf), |
2172 | 0); | |
0f2d19dd JB |
2173 | } |
2174 | } | |
1bbd0b84 | 2175 | #undef FUNC_NAME |
0f2d19dd JB |
2176 | |
2177 | ||
2178 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
f3ae5d60 | 2179 | SCM_BIGDIG conditionals */ |
1cc91f1b | 2180 | |
0f2d19dd | 2181 | int |
f3ae5d60 | 2182 | scm_print_real (SCM sexp, SCM port, scm_print_state *pstate) |
0f2d19dd | 2183 | { |
0f2d19dd | 2184 | char num_buf[SCM_FLOBUFLEN]; |
f872b822 | 2185 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd JB |
2186 | return !0; |
2187 | } | |
2188 | ||
f3ae5d60 MD |
2189 | int |
2190 | scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate) | |
2191 | { | |
2192 | char num_buf[SCM_FLOBUFLEN]; | |
2193 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); | |
2194 | return !0; | |
2195 | } | |
1cc91f1b | 2196 | |
0f2d19dd | 2197 | int |
1bbd0b84 | 2198 | scm_bigprint (SCM exp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2199 | { |
2200 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2201 | exp = big2str (exp, (unsigned int) 10); |
2202 | scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port); | |
0f2d19dd | 2203 | #else |
f872b822 | 2204 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
2205 | #endif |
2206 | return !0; | |
2207 | } | |
2208 | /*** END nums->strs ***/ | |
2209 | ||
2210 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee JB |
2211 | |
2212 | static SCM | |
1bbd0b84 | 2213 | scm_small_istr2int (char *str, long len, long radix) |
2a8fecee JB |
2214 | { |
2215 | register long n = 0, ln; | |
2216 | register int c; | |
2217 | register int i = 0; | |
2218 | int lead_neg = 0; | |
f872b822 MD |
2219 | if (0 >= len) |
2220 | return SCM_BOOL_F; /* zero scm_length */ | |
2221 | switch (*str) | |
2222 | { /* leading sign */ | |
2223 | case '-': | |
2224 | lead_neg = 1; | |
2225 | case '+': | |
2226 | if (++i == len) | |
2227 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2228 | } | |
2a8fecee | 2229 | |
f872b822 MD |
2230 | do |
2231 | { | |
2232 | switch (c = str[i++]) | |
2233 | { | |
2234 | case DIGITS: | |
2235 | c = c - '0'; | |
2236 | goto accumulate; | |
2237 | case 'A': | |
2238 | case 'B': | |
2239 | case 'C': | |
2240 | case 'D': | |
2241 | case 'E': | |
2242 | case 'F': | |
2243 | c = c - 'A' + 10; | |
2244 | goto accumulate; | |
2245 | case 'a': | |
2246 | case 'b': | |
2247 | case 'c': | |
2248 | case 'd': | |
2249 | case 'e': | |
2250 | case 'f': | |
2251 | c = c - 'a' + 10; | |
2252 | accumulate: | |
2253 | if (c >= radix) | |
2254 | return SCM_BOOL_F; /* bad digit for radix */ | |
2255 | ln = n; | |
2256 | n = n * radix - c; | |
2257 | /* Negation is a workaround for HP700 cc bug */ | |
2258 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
2259 | goto ovfl; | |
2260 | break; | |
2261 | default: | |
2262 | return SCM_BOOL_F; /* not a digit */ | |
2263 | } | |
2a8fecee | 2264 | } |
f872b822 MD |
2265 | while (i < len); |
2266 | if (!lead_neg) | |
2267 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
2268 | goto ovfl; | |
2269 | return SCM_MAKINUM (n); | |
2a8fecee JB |
2270 | ovfl: /* overflow scheme integer */ |
2271 | return SCM_BOOL_F; | |
2272 | } | |
2273 | ||
2274 | ||
1cc91f1b | 2275 | |
0f2d19dd | 2276 | SCM |
1bbd0b84 | 2277 | scm_istr2int (char *str, long len, long radix) |
0f2d19dd JB |
2278 | { |
2279 | scm_sizet j; | |
2280 | register scm_sizet k, blen = 1; | |
2281 | scm_sizet i = 0; | |
2282 | int c; | |
2283 | SCM res; | |
2284 | register SCM_BIGDIG *ds; | |
2285 | register unsigned long t2; | |
2286 | ||
f872b822 MD |
2287 | if (0 >= len) |
2288 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
2289 | |
2290 | /* Short numbers we parse directly into an int, to avoid the overhead | |
2291 | of creating a bignum. */ | |
2292 | if (len < 6) | |
2293 | return scm_small_istr2int (str, len, radix); | |
2294 | ||
f872b822 MD |
2295 | if (16 == radix) |
2296 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 2297 | else if (10 <= radix) |
f872b822 MD |
2298 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
2299 | else | |
2300 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
2301 | switch (str[0]) | |
2302 | { /* leading sign */ | |
2303 | case '-': | |
2304 | case '+': | |
2305 | if (++i == (unsigned) len) | |
2306 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2307 | } | |
2308 | res = scm_mkbig (j, '-' == str[0]); | |
2309 | ds = SCM_BDIGITS (res); | |
2310 | for (k = j; k--;) | |
2311 | ds[k] = 0; | |
2312 | do | |
2313 | { | |
2314 | switch (c = str[i++]) | |
2315 | { | |
2316 | case DIGITS: | |
2317 | c = c - '0'; | |
2318 | goto accumulate; | |
2319 | case 'A': | |
2320 | case 'B': | |
2321 | case 'C': | |
2322 | case 'D': | |
2323 | case 'E': | |
2324 | case 'F': | |
2325 | c = c - 'A' + 10; | |
2326 | goto accumulate; | |
2327 | case 'a': | |
2328 | case 'b': | |
2329 | case 'c': | |
2330 | case 'd': | |
2331 | case 'e': | |
2332 | case 'f': | |
2333 | c = c - 'a' + 10; | |
2334 | accumulate: | |
2335 | if (c >= radix) | |
2336 | return SCM_BOOL_F; /* bad digit for radix */ | |
2337 | k = 0; | |
2338 | t2 = c; | |
2339 | moretodo: | |
2340 | while (k < blen) | |
2341 | { | |
2342 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2343 | t2 += ds[k] * radix; | |
2344 | ds[k++] = SCM_BIGLO (t2); | |
2345 | t2 = SCM_BIGDN (t2); | |
2346 | } | |
2347 | if (blen > j) | |
2348 | scm_num_overflow ("bignum"); | |
2349 | if (t2) | |
2350 | { | |
2351 | blen++; | |
2352 | goto moretodo; | |
2353 | } | |
2354 | break; | |
2355 | default: | |
2356 | return SCM_BOOL_F; /* not a digit */ | |
2357 | } | |
0f2d19dd | 2358 | } |
f872b822 MD |
2359 | while (i < (unsigned) len); |
2360 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2361 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2362 | return res; | |
2363 | if (j == blen) | |
2364 | return res; | |
2365 | return scm_adjbig (res, blen); | |
0f2d19dd | 2366 | } |
0f2d19dd | 2367 | |
0f2d19dd | 2368 | SCM |
1bbd0b84 | 2369 | scm_istr2flo (char *str, long len, long radix) |
0f2d19dd JB |
2370 | { |
2371 | register int c, i = 0; | |
2372 | double lead_sgn; | |
2373 | double res = 0.0, tmp = 0.0; | |
2374 | int flg = 0; | |
2375 | int point = 0; | |
2376 | SCM second; | |
2377 | ||
f872b822 MD |
2378 | if (i >= len) |
2379 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2380 | |
f872b822 MD |
2381 | switch (*str) |
2382 | { /* leading sign */ | |
2383 | case '-': | |
2384 | lead_sgn = -1.0; | |
2385 | i++; | |
2386 | break; | |
2387 | case '+': | |
2388 | lead_sgn = 1.0; | |
2389 | i++; | |
0f2d19dd JB |
2390 | break; |
2391 | default: | |
f872b822 | 2392 | lead_sgn = 0.0; |
0f2d19dd | 2393 | } |
f872b822 MD |
2394 | if (i == len) |
2395 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2396 | ||
2397 | if (str[i] == 'i' || str[i] == 'I') | |
2398 | { /* handle `+i' and `-i' */ | |
2399 | if (lead_sgn == 0.0) | |
2400 | return SCM_BOOL_F; /* must have leading sign */ | |
2401 | if (++i < len) | |
2402 | return SCM_BOOL_F; /* `i' not last character */ | |
2403 | return scm_makdbl (0.0, lead_sgn); | |
2404 | } | |
2405 | do | |
2406 | { /* check initial digits */ | |
2407 | switch (c = str[i]) | |
2408 | { | |
2409 | case DIGITS: | |
2410 | c = c - '0'; | |
2411 | goto accum1; | |
2412 | case 'D': | |
2413 | case 'E': | |
2414 | case 'F': | |
2415 | if (radix == 10) | |
2416 | goto out1; /* must be exponent */ | |
2417 | case 'A': | |
2418 | case 'B': | |
2419 | case 'C': | |
2420 | c = c - 'A' + 10; | |
2421 | goto accum1; | |
2422 | case 'd': | |
2423 | case 'e': | |
2424 | case 'f': | |
2425 | if (radix == 10) | |
2426 | goto out1; | |
2427 | case 'a': | |
2428 | case 'b': | |
2429 | case 'c': | |
2430 | c = c - 'a' + 10; | |
2431 | accum1: | |
2432 | if (c >= radix) | |
2433 | return SCM_BOOL_F; /* bad digit for radix */ | |
2434 | res = res * radix + c; | |
2435 | flg = 1; /* res is valid */ | |
2436 | break; | |
2437 | default: | |
2438 | goto out1; | |
2439 | } | |
2440 | } | |
2441 | while (++i < len); | |
0f2d19dd JB |
2442 | out1: |
2443 | ||
2444 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2445 | if (i == len) |
2446 | goto done; | |
0f2d19dd JB |
2447 | |
2448 | /* By here, must have seen a digit, | |
2449 | or must have next char be a `.' with radix==10 */ | |
2450 | if (!flg) | |
f872b822 | 2451 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2452 | return SCM_BOOL_F; |
2453 | ||
f872b822 MD |
2454 | while (str[i] == '#') |
2455 | { /* optional sharps */ | |
2456 | res *= radix; | |
2457 | if (++i == len) | |
2458 | goto done; | |
0f2d19dd | 2459 | } |
0f2d19dd | 2460 | |
f872b822 MD |
2461 | if (str[i] == '/') |
2462 | { | |
2463 | while (++i < len) | |
2464 | { | |
2465 | switch (c = str[i]) | |
2466 | { | |
2467 | case DIGITS: | |
2468 | c = c - '0'; | |
2469 | goto accum2; | |
2470 | case 'A': | |
2471 | case 'B': | |
2472 | case 'C': | |
2473 | case 'D': | |
2474 | case 'E': | |
2475 | case 'F': | |
2476 | c = c - 'A' + 10; | |
2477 | goto accum2; | |
2478 | case 'a': | |
2479 | case 'b': | |
2480 | case 'c': | |
2481 | case 'd': | |
2482 | case 'e': | |
2483 | case 'f': | |
2484 | c = c - 'a' + 10; | |
2485 | accum2: | |
2486 | if (c >= radix) | |
2487 | return SCM_BOOL_F; | |
2488 | tmp = tmp * radix + c; | |
2489 | break; | |
2490 | default: | |
2491 | goto out2; | |
2492 | } | |
2493 | } | |
2494 | out2: | |
2495 | if (tmp == 0.0) | |
2496 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2497 | if (i < len) | |
2498 | while (str[i] == '#') | |
2499 | { /* optional sharps */ | |
2500 | tmp *= radix; | |
2501 | if (++i == len) | |
2502 | break; | |
2503 | } | |
2504 | res /= tmp; | |
2505 | goto done; | |
0f2d19dd | 2506 | } |
f872b822 MD |
2507 | |
2508 | if (str[i] == '.') | |
2509 | { /* decimal point notation */ | |
2510 | if (radix != 10) | |
2511 | return SCM_BOOL_F; /* must be radix 10 */ | |
2512 | while (++i < len) | |
2513 | { | |
2514 | switch (c = str[i]) | |
2515 | { | |
2516 | case DIGITS: | |
2517 | point--; | |
2518 | res = res * 10.0 + c - '0'; | |
2519 | flg = 1; | |
2520 | break; | |
2521 | default: | |
2522 | goto out3; | |
2523 | } | |
2524 | } | |
2525 | out3: | |
2526 | if (!flg) | |
2527 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2528 | if (i == len) | |
2529 | goto adjust; | |
2530 | while (str[i] == '#') | |
2531 | { /* ignore remaining sharps */ | |
2532 | if (++i == len) | |
2533 | goto adjust; | |
2534 | } | |
0f2d19dd | 2535 | } |
0f2d19dd | 2536 | |
f872b822 MD |
2537 | switch (str[i]) |
2538 | { /* exponent */ | |
2539 | case 'd': | |
2540 | case 'D': | |
2541 | case 'e': | |
2542 | case 'E': | |
2543 | case 'f': | |
2544 | case 'F': | |
2545 | case 'l': | |
2546 | case 'L': | |
2547 | case 's': | |
2548 | case 'S': | |
2549 | { | |
2550 | int expsgn = 1, expon = 0; | |
2551 | if (radix != 10) | |
2552 | return SCM_BOOL_F; /* only in radix 10 */ | |
2553 | if (++i == len) | |
2554 | return SCM_BOOL_F; /* bad exponent */ | |
2555 | switch (str[i]) | |
2556 | { | |
2557 | case '-': | |
2558 | expsgn = (-1); | |
2559 | case '+': | |
2560 | if (++i == len) | |
2561 | return SCM_BOOL_F; /* bad exponent */ | |
2562 | } | |
2563 | if (str[i] < '0' || str[i] > '9') | |
2564 | return SCM_BOOL_F; /* bad exponent */ | |
2565 | do | |
2566 | { | |
2567 | switch (c = str[i]) | |
2568 | { | |
2569 | case DIGITS: | |
2570 | expon = expon * 10 + c - '0'; | |
f3ae5d60 | 2571 | if (expon > SCM_MAXEXP) |
f872b822 MD |
2572 | return SCM_BOOL_F; /* exponent too large */ |
2573 | break; | |
2574 | default: | |
2575 | goto out4; | |
2576 | } | |
2577 | } | |
2578 | while (++i < len); | |
2579 | out4: | |
2580 | point += expsgn * expon; | |
0f2d19dd | 2581 | } |
f872b822 | 2582 | } |
0f2d19dd JB |
2583 | |
2584 | adjust: | |
2585 | if (point >= 0) | |
f872b822 MD |
2586 | while (point--) |
2587 | res *= 10.0; | |
0f2d19dd | 2588 | else |
f872b822 MD |
2589 | #ifdef _UNICOS |
2590 | while (point++) | |
2591 | res *= 0.1; | |
2592 | #else | |
2593 | while (point++) | |
2594 | res /= 10.0; | |
2595 | #endif | |
0f2d19dd JB |
2596 | |
2597 | done: | |
2598 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2599 | if (lead_sgn == -1.0) |
2600 | res = -res; | |
2601 | if (i == len) | |
2602 | return scm_makdbl (res, 0.0); | |
2603 | ||
2604 | if (str[i] == 'i' || str[i] == 'I') | |
2605 | { /* pure imaginary number */ | |
2606 | if (lead_sgn == 0.0) | |
2607 | return SCM_BOOL_F; /* must have leading sign */ | |
2608 | if (++i < len) | |
2609 | return SCM_BOOL_F; /* `i' not last character */ | |
2610 | return scm_makdbl (0.0, res); | |
2611 | } | |
0f2d19dd | 2612 | |
f872b822 MD |
2613 | switch (str[i++]) |
2614 | { | |
2615 | case '-': | |
2616 | lead_sgn = -1.0; | |
2617 | break; | |
2618 | case '+': | |
2619 | lead_sgn = 1.0; | |
2620 | break; | |
2621 | case '@': | |
2622 | { /* polar input for complex number */ | |
2623 | /* get a `real' for scm_angle */ | |
2624 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
f3ae5d60 | 2625 | if (!SCM_SLOPPY_INEXACTP (second)) |
f872b822 | 2626 | return SCM_BOOL_F; /* not `real' */ |
f3ae5d60 | 2627 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2628 | return SCM_BOOL_F; /* not `real' */ |
2629 | tmp = SCM_REALPART (second); | |
2630 | return scm_makdbl (res * cos (tmp), res * sin (tmp)); | |
2631 | } | |
2632 | default: | |
2633 | return SCM_BOOL_F; | |
2634 | } | |
0f2d19dd JB |
2635 | |
2636 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2637 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2638 | return SCM_BOOL_F; | |
0f2d19dd | 2639 | /* handles `x+i' and `x-i' */ |
f872b822 MD |
2640 | if (i == (len - 1)) |
2641 | return scm_makdbl (res, lead_sgn); | |
0f2d19dd | 2642 | /* get a `ureal' for complex part */ |
f872b822 | 2643 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
f3ae5d60 | 2644 | if (!SCM_INEXACTP (second)) |
f872b822 | 2645 | return SCM_BOOL_F; /* not `ureal' */ |
f3ae5d60 | 2646 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2647 | return SCM_BOOL_F; /* not `ureal' */ |
2648 | tmp = SCM_REALPART (second); | |
2649 | if (tmp < 0.0) | |
2650 | return SCM_BOOL_F; /* not `ureal' */ | |
2651 | return scm_makdbl (res, (lead_sgn * tmp)); | |
0f2d19dd | 2652 | } |
0f2d19dd JB |
2653 | |
2654 | ||
1cc91f1b | 2655 | |
0f2d19dd | 2656 | SCM |
1bbd0b84 | 2657 | scm_istring2number (char *str, long len, long radix) |
0f2d19dd JB |
2658 | { |
2659 | int i = 0; | |
2660 | char ex = 0; | |
2661 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2662 | SCM res; | |
f872b822 MD |
2663 | if (len == 1) |
2664 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2665 | return SCM_BOOL_F; |
2666 | ||
f872b822 MD |
2667 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2668 | switch (str[i++]) | |
2669 | { | |
2670 | case 'b': | |
2671 | case 'B': | |
2672 | if (rx_p++) | |
2673 | return SCM_BOOL_F; | |
2674 | radix = 2; | |
2675 | break; | |
2676 | case 'o': | |
2677 | case 'O': | |
2678 | if (rx_p++) | |
2679 | return SCM_BOOL_F; | |
2680 | radix = 8; | |
2681 | break; | |
2682 | case 'd': | |
2683 | case 'D': | |
2684 | if (rx_p++) | |
2685 | return SCM_BOOL_F; | |
2686 | radix = 10; | |
2687 | break; | |
2688 | case 'x': | |
2689 | case 'X': | |
2690 | if (rx_p++) | |
2691 | return SCM_BOOL_F; | |
2692 | radix = 16; | |
2693 | break; | |
2694 | case 'i': | |
2695 | case 'I': | |
2696 | if (ex_p++) | |
2697 | return SCM_BOOL_F; | |
2698 | ex = 2; | |
2699 | break; | |
2700 | case 'e': | |
2701 | case 'E': | |
2702 | if (ex_p++) | |
2703 | return SCM_BOOL_F; | |
2704 | ex = 1; | |
2705 | break; | |
2706 | default: | |
2707 | return SCM_BOOL_F; | |
2708 | } | |
2709 | ||
2710 | switch (ex) | |
2711 | { | |
2712 | case 1: | |
2713 | return scm_istr2int (&str[i], len - i, radix); | |
2714 | case 0: | |
2715 | res = scm_istr2int (&str[i], len - i, radix); | |
2716 | if (SCM_NFALSEP (res)) | |
2717 | return res; | |
f872b822 MD |
2718 | case 2: |
2719 | return scm_istr2flo (&str[i], len - i, radix); | |
f872b822 | 2720 | } |
0f2d19dd JB |
2721 | return SCM_BOOL_F; |
2722 | } | |
2723 | ||
2724 | ||
a1ec6916 | 2725 | SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0, |
1bbd0b84 | 2726 | (SCM str, SCM radix), |
b380b885 | 2727 | "") |
1bbd0b84 | 2728 | #define FUNC_NAME s_scm_string_to_number |
0f2d19dd JB |
2729 | { |
2730 | SCM answer; | |
1bbd0b84 | 2731 | int base; |
3b3b36dd GB |
2732 | SCM_VALIDATE_ROSTRING (1,str); |
2733 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); | |
f872b822 MD |
2734 | answer = scm_istring2number (SCM_ROCHARS (str), |
2735 | SCM_ROLENGTH (str), | |
1bbd0b84 | 2736 | base); |
0f2d19dd JB |
2737 | return scm_return_first (answer, str); |
2738 | } | |
1bbd0b84 | 2739 | #undef FUNC_NAME |
0f2d19dd JB |
2740 | /*** END strs->nums ***/ |
2741 | ||
0f2d19dd | 2742 | SCM |
f3ae5d60 | 2743 | scm_make_real (double x) |
0f2d19dd JB |
2744 | { |
2745 | SCM z; | |
f3ae5d60 | 2746 | SCM_NEWREAL (z, x); |
0f2d19dd JB |
2747 | return z; |
2748 | } | |
0f2d19dd | 2749 | |
f3ae5d60 MD |
2750 | SCM |
2751 | scm_make_complex (double x, double y) | |
2752 | { | |
2753 | SCM z; | |
2754 | SCM_NEWCOMPLEX (z, x, y); | |
2755 | return z; | |
2756 | } | |
1cc91f1b | 2757 | |
0f2d19dd | 2758 | SCM |
1bbd0b84 | 2759 | scm_bigequal (SCM x, SCM y) |
0f2d19dd JB |
2760 | { |
2761 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2762 | if (0 == scm_bigcomp (x, y)) |
2763 | return SCM_BOOL_T; | |
0f2d19dd JB |
2764 | #endif |
2765 | return SCM_BOOL_F; | |
2766 | } | |
2767 | ||
0f2d19dd | 2768 | SCM |
f3ae5d60 | 2769 | scm_real_equalp (SCM x, SCM y) |
0f2d19dd | 2770 | { |
f3ae5d60 | 2771 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); |
0f2d19dd JB |
2772 | } |
2773 | ||
f3ae5d60 MD |
2774 | SCM |
2775 | scm_complex_equalp (SCM x, SCM y) | |
2776 | { | |
2777 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2778 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2779 | } | |
0f2d19dd JB |
2780 | |
2781 | ||
2782 | ||
1bbd0b84 | 2783 | SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
1cc91f1b | 2784 | |
a1ec6916 | 2785 | SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0, |
1bbd0b84 | 2786 | (SCM x), |
b380b885 | 2787 | "") |
1bbd0b84 | 2788 | #define FUNC_NAME s_scm_number_p |
0f2d19dd | 2789 | { |
f872b822 MD |
2790 | if (SCM_INUMP (x)) |
2791 | return SCM_BOOL_T; | |
0c95b57d | 2792 | if (SCM_NUMP (x)) |
f872b822 | 2793 | return SCM_BOOL_T; |
0f2d19dd JB |
2794 | return SCM_BOOL_F; |
2795 | } | |
1bbd0b84 | 2796 | #undef FUNC_NAME |
0f2d19dd JB |
2797 | |
2798 | ||
2799 | ||
1bbd0b84 | 2800 | SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
1cc91f1b | 2801 | |
1bbd0b84 | 2802 | |
a1ec6916 | 2803 | SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0, |
1bbd0b84 | 2804 | (SCM x), |
b380b885 | 2805 | "") |
1bbd0b84 | 2806 | #define FUNC_NAME s_scm_real_p |
0f2d19dd | 2807 | { |
f872b822 | 2808 | if (SCM_INUMP (x)) |
0f2d19dd | 2809 | return SCM_BOOL_T; |
f872b822 | 2810 | if (SCM_IMP (x)) |
0f2d19dd | 2811 | return SCM_BOOL_F; |
f3ae5d60 | 2812 | if (SCM_SLOPPY_REALP (x)) |
0f2d19dd | 2813 | return SCM_BOOL_T; |
f872b822 MD |
2814 | #ifdef SCM_BIGDIG |
2815 | if (SCM_BIGP (x)) | |
0f2d19dd | 2816 | return SCM_BOOL_T; |
f872b822 | 2817 | #endif |
0f2d19dd JB |
2818 | return SCM_BOOL_F; |
2819 | } | |
1bbd0b84 | 2820 | #undef FUNC_NAME |
0f2d19dd JB |
2821 | |
2822 | ||
2823 | ||
a1ec6916 | 2824 | SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0, |
1bbd0b84 | 2825 | (SCM x), |
b380b885 | 2826 | "") |
1bbd0b84 | 2827 | #define FUNC_NAME s_scm_integer_p |
0f2d19dd JB |
2828 | { |
2829 | double r; | |
f872b822 MD |
2830 | if (SCM_INUMP (x)) |
2831 | return SCM_BOOL_T; | |
2832 | if (SCM_IMP (x)) | |
2833 | return SCM_BOOL_F; | |
2834 | #ifdef SCM_BIGDIG | |
2835 | if (SCM_BIGP (x)) | |
2836 | return SCM_BOOL_T; | |
2837 | #endif | |
f3ae5d60 | 2838 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 | 2839 | return SCM_BOOL_F; |
f3ae5d60 | 2840 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 MD |
2841 | return SCM_BOOL_F; |
2842 | r = SCM_REALPART (x); | |
2843 | if (r == floor (r)) | |
2844 | return SCM_BOOL_T; | |
0f2d19dd JB |
2845 | return SCM_BOOL_F; |
2846 | } | |
1bbd0b84 | 2847 | #undef FUNC_NAME |
0f2d19dd JB |
2848 | |
2849 | ||
2850 | ||
a1ec6916 | 2851 | SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0, |
1bbd0b84 | 2852 | (SCM x), |
b380b885 | 2853 | "") |
1bbd0b84 | 2854 | #define FUNC_NAME s_scm_inexact_p |
0f2d19dd | 2855 | { |
f3ae5d60 | 2856 | if (SCM_INEXACTP (x)) |
f872b822 | 2857 | return SCM_BOOL_T; |
0f2d19dd JB |
2858 | return SCM_BOOL_F; |
2859 | } | |
1bbd0b84 | 2860 | #undef FUNC_NAME |
0f2d19dd JB |
2861 | |
2862 | ||
2863 | ||
2864 | ||
152f82bf | 2865 | SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p); |
1cc91f1b | 2866 | |
0f2d19dd | 2867 | SCM |
6e8d25a6 | 2868 | scm_num_eq_p (SCM x, SCM y) |
0f2d19dd | 2869 | { |
0f2d19dd | 2870 | SCM t; |
f872b822 MD |
2871 | if (SCM_NINUMP (x)) |
2872 | { | |
2873 | #ifdef SCM_BIGDIG | |
0c95b57d | 2874 | if (!SCM_NIMP (x)) |
f872b822 MD |
2875 | { |
2876 | badx: | |
152f82bf | 2877 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 | 2878 | } |
f872b822 MD |
2879 | if (SCM_BIGP (x)) |
2880 | { | |
2881 | if (SCM_INUMP (y)) | |
2882 | return SCM_BOOL_F; | |
2883 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2884 | if (SCM_BIGP (y)) | |
156dcb09 | 2885 | return SCM_BOOL(0 == scm_bigcomp (x, y)); |
f3ae5d60 | 2886 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2887 | bigreal: |
f3ae5d60 | 2888 | return ((SCM_SLOPPY_REALP (y) && (scm_big2dbl (x) == SCM_REALPART (y))) |
f872b822 MD |
2889 | ? SCM_BOOL_T |
2890 | : SCM_BOOL_F); | |
2891 | } | |
f3ae5d60 | 2892 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
0f2d19dd | 2893 | #else |
f3ae5d60 | 2894 | SCM_GASSERT2 (SCM_SLOPPY_INEXACTP (x), |
152f82bf | 2895 | g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 MD |
2896 | #endif |
2897 | if (SCM_INUMP (y)) | |
2898 | { | |
2899 | t = x; | |
2900 | x = y; | |
2901 | y = t; | |
2902 | goto realint; | |
2903 | } | |
2904 | #ifdef SCM_BIGDIG | |
2905 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2906 | if (SCM_BIGP (y)) | |
2907 | { | |
2908 | t = x; | |
2909 | x = y; | |
2910 | y = t; | |
2911 | goto bigreal; | |
2912 | } | |
f3ae5d60 | 2913 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2914 | #else |
f3ae5d60 | 2915 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2916 | #endif |
f3ae5d60 MD |
2917 | if (SCM_SLOPPY_REALP (x)) |
2918 | { | |
2919 | if (SCM_SLOPPY_REALP (y)) | |
2920 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); | |
2921 | else | |
2922 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y) | |
2923 | && 0.0 == SCM_COMPLEX_IMAG (y)); | |
2924 | } | |
2925 | else | |
2926 | { | |
2927 | if (SCM_SLOPPY_REALP (y)) | |
2928 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y) | |
2929 | && SCM_COMPLEX_IMAG (x) == 0.0); | |
2930 | else | |
2931 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2932 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2933 | } | |
f872b822 MD |
2934 | } |
2935 | if (SCM_NINUMP (y)) | |
2936 | { | |
2937 | #ifdef SCM_BIGDIG | |
2938 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2939 | if (SCM_BIGP (y)) | |
2940 | return SCM_BOOL_F; | |
f3ae5d60 | 2941 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
2942 | { |
2943 | bady: | |
152f82bf | 2944 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 2945 | } |
f872b822 | 2946 | #else |
f3ae5d60 | 2947 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
2948 | { |
2949 | bady: | |
152f82bf | 2950 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 2951 | } |
f872b822 MD |
2952 | #endif |
2953 | realint: | |
f3ae5d60 MD |
2954 | if (SCM_SLOPPY_REALP (y)) |
2955 | return SCM_BOOL ((double) SCM_INUM (x) == SCM_REAL_VALUE (y)); | |
2956 | else | |
2957 | return SCM_BOOL ((double) SCM_INUM (x) == SCM_COMPLEX_REAL (y) | |
2958 | && 0.0 == SCM_COMPLEX_IMAG (y)); | |
f872b822 | 2959 | } |
156dcb09 | 2960 | return SCM_BOOL((long) x == (long) y); |
0f2d19dd JB |
2961 | } |
2962 | ||
2963 | ||
2964 | ||
152f82bf | 2965 | SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p); |
1cc91f1b | 2966 | |
0f2d19dd | 2967 | SCM |
6e8d25a6 | 2968 | scm_less_p (SCM x, SCM y) |
0f2d19dd | 2969 | { |
f872b822 MD |
2970 | if (SCM_NINUMP (x)) |
2971 | { | |
2972 | #ifdef SCM_BIGDIG | |
0c95b57d | 2973 | if (!SCM_NIMP (x)) |
f872b822 MD |
2974 | { |
2975 | badx: | |
152f82bf | 2976 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 | 2977 | } |
f872b822 MD |
2978 | if (SCM_BIGP (x)) |
2979 | { | |
2980 | if (SCM_INUMP (y)) | |
156dcb09 | 2981 | return SCM_BOOL(SCM_BIGSIGN (x)); |
f872b822 MD |
2982 | SCM_ASRTGO (SCM_NIMP (y), bady); |
2983 | if (SCM_BIGP (y)) | |
156dcb09 | 2984 | return SCM_BOOL(1 == scm_bigcomp (x, y)); |
f3ae5d60 | 2985 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
2986 | return ((scm_big2dbl (x) < SCM_REALPART (y)) |
2987 | ? SCM_BOOL_T | |
2988 | : SCM_BOOL_F); | |
2989 | } | |
f3ae5d60 | 2990 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx); |
0f2d19dd | 2991 | #else |
f3ae5d60 | 2992 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
152f82bf | 2993 | g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 MD |
2994 | #endif |
2995 | if (SCM_INUMP (y)) | |
2996 | return ((SCM_REALPART (x) < ((double) SCM_INUM (y))) | |
2997 | ? SCM_BOOL_T | |
2998 | : SCM_BOOL_F); | |
2999 | #ifdef SCM_BIGDIG | |
3000 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3001 | if (SCM_BIGP (y)) | |
156dcb09 | 3002 | return SCM_BOOL(SCM_REALPART (x) < scm_big2dbl (y)); |
f3ae5d60 | 3003 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3004 | #else |
f3ae5d60 | 3005 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3006 | #endif |
156dcb09 | 3007 | return SCM_BOOL(SCM_REALPART (x) < SCM_REALPART (y)); |
f872b822 MD |
3008 | } |
3009 | if (SCM_NINUMP (y)) | |
3010 | { | |
3011 | #ifdef SCM_BIGDIG | |
3012 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3013 | if (SCM_BIGP (y)) | |
156dcb09 | 3014 | return SCM_NEGATE_BOOL(SCM_BIGSIGN (y)); |
f3ae5d60 | 3015 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3016 | { |
3017 | bady: | |
152f82bf | 3018 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3019 | } |
f872b822 | 3020 | #else |
f3ae5d60 | 3021 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3022 | { |
3023 | bady: | |
152f82bf | 3024 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3025 | } |
f872b822 MD |
3026 | #endif |
3027 | return ((((double) SCM_INUM (x)) < SCM_REALPART (y)) | |
3028 | ? SCM_BOOL_T | |
3029 | : SCM_BOOL_F); | |
3030 | } | |
156dcb09 | 3031 | return SCM_BOOL((long) x < (long) y); |
0f2d19dd JB |
3032 | } |
3033 | ||
3034 | ||
c3ee7520 | 3035 | SCM_DEFINE1 (scm_gr_p, ">", scm_tc7_rpsubr, |
1bbd0b84 | 3036 | (SCM x, SCM y), |
b380b885 | 3037 | "") |
1bbd0b84 | 3038 | #define FUNC_NAME s_scm_gr_p |
0f2d19dd | 3039 | { |
f872b822 | 3040 | return scm_less_p (y, x); |
0f2d19dd | 3041 | } |
1bbd0b84 | 3042 | #undef FUNC_NAME |
0f2d19dd JB |
3043 | |
3044 | ||
3045 | ||
c3ee7520 | 3046 | SCM_DEFINE1 (scm_leq_p, "<=", scm_tc7_rpsubr, |
1bbd0b84 | 3047 | (SCM x, SCM y), |
b380b885 | 3048 | "") |
1bbd0b84 | 3049 | #define FUNC_NAME s_scm_leq_p |
0f2d19dd | 3050 | { |
f872b822 | 3051 | return SCM_BOOL_NOT (scm_less_p (y, x)); |
0f2d19dd | 3052 | } |
1bbd0b84 | 3053 | #undef FUNC_NAME |
0f2d19dd JB |
3054 | |
3055 | ||
3056 | ||
c3ee7520 | 3057 | SCM_DEFINE1 (scm_geq_p, ">=", scm_tc7_rpsubr, |
1bbd0b84 | 3058 | (SCM x, SCM y), |
b380b885 | 3059 | "") |
1bbd0b84 | 3060 | #define FUNC_NAME s_scm_geq_p |
0f2d19dd | 3061 | { |
f872b822 | 3062 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd | 3063 | } |
1bbd0b84 | 3064 | #undef FUNC_NAME |
0f2d19dd JB |
3065 | |
3066 | ||
3067 | ||
152f82bf | 3068 | SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p); |
1cc91f1b | 3069 | |
0f2d19dd | 3070 | SCM |
6e8d25a6 | 3071 | scm_zero_p (SCM z) |
0f2d19dd | 3072 | { |
f872b822 MD |
3073 | if (SCM_NINUMP (z)) |
3074 | { | |
3075 | #ifdef SCM_BIGDIG | |
3076 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
3077 | if (SCM_BIGP (z)) | |
3078 | return SCM_BOOL_F; | |
f3ae5d60 | 3079 | if (!SCM_SLOPPY_INEXACTP (z)) |
f872b822 MD |
3080 | { |
3081 | badz: | |
152f82bf | 3082 | SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3083 | } |
0f2d19dd | 3084 | #else |
f3ae5d60 | 3085 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 3086 | g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3087 | #endif |
f3ae5d60 MD |
3088 | if (SCM_SLOPPY_REALP (z)) |
3089 | return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0); | |
3090 | else | |
3091 | return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0 | |
3092 | && SCM_COMPLEX_IMAG (z) == 0.0); | |
f872b822 | 3093 | } |
156dcb09 | 3094 | return SCM_BOOL(z == SCM_INUM0); |
0f2d19dd JB |
3095 | } |
3096 | ||
3097 | ||
3098 | ||
152f82bf | 3099 | SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p); |
1cc91f1b | 3100 | |
0f2d19dd | 3101 | SCM |
6e8d25a6 | 3102 | scm_positive_p (SCM x) |
0f2d19dd | 3103 | { |
f872b822 MD |
3104 | if (SCM_NINUMP (x)) |
3105 | { | |
3106 | #ifdef SCM_BIGDIG | |
3107 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3108 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3109 | return SCM_BOOL (!SCM_BIGSIGN (x)); |
3110 | if (!SCM_SLOPPY_REALP (x)) | |
f872b822 MD |
3111 | { |
3112 | badx: | |
152f82bf | 3113 | SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3114 | } |
0f2d19dd | 3115 | #else |
f3ae5d60 | 3116 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3117 | g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3118 | #endif |
156dcb09 | 3119 | return SCM_BOOL(SCM_REALPART (x) > 0.0); |
f872b822 | 3120 | } |
c209c88e | 3121 | return SCM_BOOL(SCM_INUM(x) > 0); |
0f2d19dd JB |
3122 | } |
3123 | ||
3124 | ||
3125 | ||
152f82bf | 3126 | SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p); |
1cc91f1b | 3127 | |
0f2d19dd | 3128 | SCM |
6e8d25a6 | 3129 | scm_negative_p (SCM x) |
0f2d19dd | 3130 | { |
f872b822 MD |
3131 | if (SCM_NINUMP (x)) |
3132 | { | |
3133 | #ifdef SCM_BIGDIG | |
3134 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3135 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3136 | return SCM_BOOL (SCM_BIGSIGN (x)); |
3137 | if (!(SCM_SLOPPY_REALP (x))) | |
f872b822 MD |
3138 | { |
3139 | badx: | |
152f82bf | 3140 | SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p); |
f872b822 | 3141 | } |
0f2d19dd | 3142 | #else |
f3ae5d60 | 3143 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3144 | g_negative_p, x, SCM_ARG1, s_negative_p); |
0f2d19dd | 3145 | #endif |
156dcb09 | 3146 | return SCM_BOOL(SCM_REALPART (x) < 0.0); |
f872b822 | 3147 | } |
c209c88e | 3148 | return SCM_BOOL(SCM_INUM(x) < 0); |
0f2d19dd JB |
3149 | } |
3150 | ||
3151 | ||
9de33deb | 3152 | SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max); |
1cc91f1b | 3153 | |
0f2d19dd | 3154 | SCM |
6e8d25a6 | 3155 | scm_max (SCM x, SCM y) |
0f2d19dd | 3156 | { |
0f2d19dd | 3157 | double z; |
f872b822 MD |
3158 | if (SCM_UNBNDP (y)) |
3159 | { | |
73ef98d6 MD |
3160 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3161 | g_max, scm_makfrom0str (s_max), SCM_WNA, 0); | |
0e3aa89f | 3162 | SCM_GASSERT1 (SCM_NUMBERP (x), g_max, x, SCM_ARG1, s_max); |
f872b822 MD |
3163 | return x; |
3164 | } | |
f872b822 MD |
3165 | if (SCM_NINUMP (x)) |
3166 | { | |
3167 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3168 | if (!SCM_NIMP (x)) |
3169 | { | |
3170 | badx2: | |
3171 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max); | |
3172 | } | |
f872b822 MD |
3173 | if (SCM_BIGP (x)) |
3174 | { | |
3175 | if (SCM_INUMP (y)) | |
3176 | return SCM_BIGSIGN (x) ? y : x; | |
3177 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3178 | if (SCM_BIGP (y)) | |
3179 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
f3ae5d60 | 3180 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3181 | z = scm_big2dbl (x); |
3182 | return (z < SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3183 | } | |
f3ae5d60 | 3184 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2); |
0f2d19dd | 3185 | #else |
f3ae5d60 | 3186 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
9de33deb | 3187 | g_max, x, y, SCM_ARG1, s_max); |
f872b822 MD |
3188 | #endif |
3189 | if (SCM_INUMP (y)) | |
3190 | return ((SCM_REALPART (x) < (z = SCM_INUM (y))) | |
3191 | ? scm_makdbl (z, 0.0) | |
3192 | : x); | |
3193 | #ifdef SCM_BIGDIG | |
3194 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3195 | if (SCM_BIGP (y)) | |
3196 | return ((SCM_REALPART (x) < (z = scm_big2dbl (y))) | |
3197 | ? scm_makdbl (z, 0.0) | |
3198 | : x); | |
f3ae5d60 | 3199 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3200 | #else |
f3ae5d60 | 3201 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3202 | #endif |
3203 | return (SCM_REALPART (x) < SCM_REALPART (y)) ? y : x; | |
3204 | } | |
3205 | if (SCM_NINUMP (y)) | |
3206 | { | |
3207 | #ifdef SCM_BIGDIG | |
3208 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3209 | if (SCM_BIGP (y)) | |
3210 | return SCM_BIGSIGN (y) ? x : y; | |
f3ae5d60 | 3211 | if (!(SCM_SLOPPY_REALP (y))) |
f872b822 MD |
3212 | { |
3213 | bady: | |
9de33deb | 3214 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3215 | } |
f872b822 | 3216 | #else |
f3ae5d60 | 3217 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3218 | { |
3219 | bady: | |
9de33deb | 3220 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3221 | } |
f872b822 MD |
3222 | #endif |
3223 | return (((z = SCM_INUM (x)) < SCM_REALPART (y)) | |
3224 | ? y | |
3225 | : scm_makdbl (z, 0.0)); | |
3226 | } | |
f872b822 | 3227 | return ((long) x < (long) y) ? y : x; |
0f2d19dd JB |
3228 | } |
3229 | ||
3230 | ||
c209c88e GB |
3231 | #define SCM_SWAP(x,y) do { SCM t = x; x = y; y = t; } while (0) |
3232 | ||
0f2d19dd JB |
3233 | |
3234 | ||
9de33deb | 3235 | SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min); |
1cc91f1b | 3236 | |
0f2d19dd | 3237 | SCM |
6e8d25a6 | 3238 | scm_min (SCM x, SCM y) |
0f2d19dd | 3239 | { |
0f2d19dd | 3240 | double z; |
f872b822 MD |
3241 | if (SCM_UNBNDP (y)) |
3242 | { | |
73ef98d6 MD |
3243 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3244 | g_min, scm_makfrom0str (s_min), SCM_WNA, 0); | |
0e3aa89f | 3245 | SCM_GASSERT1 (SCM_NUMBERP (x), g_min, x, SCM_ARG1, s_min); |
f872b822 MD |
3246 | return x; |
3247 | } | |
f872b822 MD |
3248 | if (SCM_NINUMP (x)) |
3249 | { | |
3250 | #ifdef SCM_BIGDIG | |
0c95b57d | 3251 | if (!SCM_NIMP (x)) |
0e3aa89f MD |
3252 | { |
3253 | badx2: | |
3254 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min); | |
3255 | } | |
f872b822 MD |
3256 | if (SCM_BIGP (x)) |
3257 | { | |
3258 | if (SCM_INUMP (y)) | |
3259 | return SCM_BIGSIGN (x) ? x : y; | |
3260 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3261 | if (SCM_BIGP (y)) | |
3262 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
f3ae5d60 | 3263 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3264 | z = scm_big2dbl (x); |
3265 | return (z > SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3266 | } | |
f3ae5d60 | 3267 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2); |
0f2d19dd | 3268 | #else |
f3ae5d60 | 3269 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
9de33deb | 3270 | g_min, x, y, SCM_ARG1, s_min); |
f872b822 MD |
3271 | #endif |
3272 | if (SCM_INUMP (y)) | |
3273 | return ((SCM_REALPART (x) > (z = SCM_INUM (y))) | |
3274 | ? scm_makdbl (z, 0.0) | |
3275 | : x); | |
3276 | #ifdef SCM_BIGDIG | |
3277 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3278 | if (SCM_BIGP (y)) | |
3279 | return ((SCM_REALPART (x) > (z = scm_big2dbl (y))) | |
3280 | ? scm_makdbl (z, 0.0) | |
3281 | : x); | |
f3ae5d60 | 3282 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3283 | #else |
f3ae5d60 | 3284 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3285 | #endif |
3286 | return (SCM_REALPART (x) > SCM_REALPART (y)) ? y : x; | |
3287 | } | |
3288 | if (SCM_NINUMP (y)) | |
3289 | { | |
3290 | #ifdef SCM_BIGDIG | |
3291 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3292 | if (SCM_BIGP (y)) | |
3293 | return SCM_BIGSIGN (y) ? y : x; | |
f3ae5d60 | 3294 | if (!(SCM_SLOPPY_REALP (y))) |
f872b822 MD |
3295 | { |
3296 | bady: | |
9de33deb | 3297 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3298 | } |
f872b822 | 3299 | #else |
f3ae5d60 | 3300 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3301 | { |
3302 | bady: | |
9de33deb | 3303 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3304 | } |
0f2d19dd | 3305 | #endif |
f872b822 MD |
3306 | return (((z = SCM_INUM (x)) > SCM_REALPART (y)) |
3307 | ? y | |
3308 | : scm_makdbl (z, 0.0)); | |
3309 | } | |
f872b822 | 3310 | return ((long) x > (long) y) ? y : x; |
0f2d19dd JB |
3311 | } |
3312 | ||
3313 | ||
3314 | ||
3315 | ||
9de33deb | 3316 | SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum); |
1cc91f1b | 3317 | |
c209c88e GB |
3318 | /* |
3319 | This is sick, sick, sick code. | |
3320 | ||
3321 | */ | |
0f2d19dd | 3322 | SCM |
6e8d25a6 | 3323 | scm_sum (SCM x, SCM y) |
0f2d19dd | 3324 | { |
f872b822 MD |
3325 | if (SCM_UNBNDP (y)) |
3326 | { | |
3327 | if (SCM_UNBNDP (x)) | |
3328 | return SCM_INUM0; | |
0e3aa89f | 3329 | SCM_GASSERT1 (SCM_NUMBERP (x), g_sum, x, SCM_ARG1, s_sum); |
f872b822 MD |
3330 | return x; |
3331 | } | |
f872b822 MD |
3332 | if (SCM_NINUMP (x)) |
3333 | { | |
c209c88e | 3334 | # ifdef SCM_BIGDIG |
0e3aa89f MD |
3335 | if (!SCM_NIMP (x)) |
3336 | { | |
3337 | badx2: | |
3338 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum); | |
3339 | } | |
f872b822 MD |
3340 | if (SCM_BIGP (x)) |
3341 | { | |
3342 | if (SCM_INUMP (y)) | |
3343 | { | |
c209c88e | 3344 | SCM_SWAP(x,y); |
f872b822 MD |
3345 | goto intbig; |
3346 | } | |
3347 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3348 | if (SCM_BIGP (y)) | |
3349 | { | |
3350 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) | |
3351 | { | |
c209c88e | 3352 | SCM_SWAP(x,y); |
f872b822 MD |
3353 | } |
3354 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3355 | SCM_BIGSIGN (x), | |
3356 | y, 0); | |
3357 | } | |
f3ae5d60 | 3358 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3359 | bigreal: |
f3ae5d60 MD |
3360 | if (SCM_SLOPPY_REALP (y)) |
3361 | return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y)); | |
3362 | else | |
3363 | return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y), | |
3364 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3365 | } |
c209c88e | 3366 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3367 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
c209c88e | 3368 | |
f872b822 MD |
3369 | if (SCM_INUMP (y)) |
3370 | { | |
c209c88e | 3371 | SCM_SWAP(x,y); |
f872b822 MD |
3372 | goto intreal; |
3373 | } | |
c209c88e | 3374 | # ifdef SCM_BIGDIG |
f872b822 MD |
3375 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3376 | if (SCM_BIGP (y)) | |
3377 | { | |
c209c88e | 3378 | SCM_SWAP(x,y); |
f872b822 MD |
3379 | goto bigreal; |
3380 | } | |
f3ae5d60 | 3381 | else if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3382 | { |
3383 | bady: | |
9de33deb | 3384 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3385 | } |
c209c88e | 3386 | # else /* SCM_BIGDIG */ |
f3ae5d60 | 3387 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3388 | { |
3389 | bady: | |
9de33deb | 3390 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3391 | } |
c209c88e | 3392 | # endif /* SCM_BIGDIG */ |
f872b822 MD |
3393 | { |
3394 | double i = 0.0; | |
f3ae5d60 MD |
3395 | if (SCM_SLOPPY_COMPLEXP (x)) |
3396 | i = SCM_COMPLEX_IMAG (x); | |
3397 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3398 | i += SCM_COMPLEX_IMAG (y); | |
f872b822 | 3399 | return scm_makdbl (SCM_REALPART (x) + SCM_REALPART (y), i); |
0f2d19dd | 3400 | } |
f872b822 MD |
3401 | } |
3402 | if (SCM_NINUMP (y)) | |
3403 | { | |
c209c88e | 3404 | # ifdef SCM_BIGDIG |
f872b822 MD |
3405 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3406 | if (SCM_BIGP (y)) | |
3407 | { | |
3408 | intbig: | |
3409 | { | |
c209c88e | 3410 | # ifndef SCM_DIGSTOOBIG |
f872b822 MD |
3411 | long z = scm_pseudolong (SCM_INUM (x)); |
3412 | return scm_addbig ((SCM_BIGDIG *) & z, | |
3413 | SCM_DIGSPERLONG, | |
f3ae5d60 | 3414 | (x < 0) ? SCM_BIGSIGNFLAG : 0, |
f872b822 | 3415 | y, 0); |
c209c88e | 3416 | # else /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3417 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3418 | scm_longdigs (SCM_INUM (x), zdigs); | |
f3ae5d60 | 3419 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? SCM_BIGSIGNFLAG : 0, |
f872b822 | 3420 | y, 0); |
c209c88e | 3421 | # endif /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3422 | } |
3423 | } | |
c209c88e | 3424 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3425 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3426 | intreal: |
f3ae5d60 MD |
3427 | if (SCM_REALP (y)) |
3428 | return scm_make_real (SCM_INUM (x) + SCM_REAL_VALUE (y)); | |
3429 | else | |
3430 | return scm_make_complex (SCM_INUM (x) + SCM_COMPLEX_REAL (y), | |
3431 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3432 | } |
c209c88e GB |
3433 | { /* scope */ |
3434 | long int i = SCM_INUM (x) + SCM_INUM (y); | |
3435 | if (SCM_FIXABLE (i)) | |
3436 | return SCM_MAKINUM (i); | |
0f2d19dd | 3437 | #ifdef SCM_BIGDIG |
c209c88e GB |
3438 | return scm_long2big (i); |
3439 | #else /* SCM_BIGDIG */ | |
c209c88e | 3440 | return scm_makdbl ((double) i, 0.0); |
c209c88e GB |
3441 | #endif /* SCM_BIGDIG */ |
3442 | } /* end scope */ | |
0f2d19dd JB |
3443 | } |
3444 | ||
3445 | ||
3446 | ||
3447 | ||
9de33deb | 3448 | SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference); |
1cc91f1b | 3449 | |
c209c88e GB |
3450 | /* |
3451 | HWN:FIXME:: This is sick,sick, sick code. Rewrite me. | |
3452 | */ | |
0f2d19dd | 3453 | SCM |
6e8d25a6 | 3454 | scm_difference (SCM x, SCM y) |
0f2d19dd | 3455 | { |
c209c88e | 3456 | long int cx = 0; |
f872b822 MD |
3457 | if (SCM_NINUMP (x)) |
3458 | { | |
c209c88e | 3459 | if (!SCM_NIMP (x)) |
f872b822 | 3460 | { |
0e3aa89f MD |
3461 | if (SCM_UNBNDP (y)) |
3462 | { | |
73ef98d6 MD |
3463 | SCM_GASSERT0 (!SCM_UNBNDP (x), g_difference, |
3464 | scm_makfrom0str (s_difference), SCM_WNA, 0); | |
0e3aa89f MD |
3465 | badx: |
3466 | SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference); | |
3467 | } | |
3468 | else | |
3469 | { | |
3470 | badx2: | |
3471 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference); | |
3472 | } | |
f872b822 | 3473 | } |
f872b822 MD |
3474 | if (SCM_UNBNDP (y)) |
3475 | { | |
3476 | #ifdef SCM_BIGDIG | |
3477 | if (SCM_BIGP (x)) | |
3478 | { | |
3479 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3480 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3481 | <= sizeof (SCM) | |
3482 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3483 | : x); | |
3484 | } | |
3485 | #endif | |
f3ae5d60 MD |
3486 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
3487 | if (SCM_SLOPPY_REALP (x)) | |
3488 | return scm_make_real (- SCM_REAL_VALUE (x)); | |
3489 | else | |
3490 | return scm_make_complex (- SCM_COMPLEX_REAL (x), | |
3491 | - SCM_COMPLEX_IMAG (x)); | |
f872b822 MD |
3492 | } |
3493 | if (SCM_INUMP (y)) | |
3494 | return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y))); | |
3495 | #ifdef SCM_BIGDIG | |
3496 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3497 | if (SCM_BIGP (x)) | |
3498 | { | |
3499 | if (SCM_BIGP (y)) | |
3500 | return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3501 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3502 | SCM_BIGSIGN (x), | |
f3ae5d60 | 3503 | y, SCM_BIGSIGNFLAG) |
f872b822 | 3504 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), |
f3ae5d60 | 3505 | SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, |
f872b822 | 3506 | x, 0)); |
f3ae5d60 MD |
3507 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3508 | if (SCM_REALP (y)) | |
3509 | return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y)); | |
3510 | else | |
3511 | return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y), | |
3512 | - SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3513 | } |
f3ae5d60 | 3514 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 | 3515 | if (SCM_BIGP (y)) |
f872b822 | 3516 | { |
f3ae5d60 MD |
3517 | if (SCM_REALP (x)) |
3518 | return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y)); | |
f872b822 | 3519 | else |
f3ae5d60 MD |
3520 | return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y), |
3521 | SCM_COMPLEX_IMAG (x)); | |
f872b822 | 3522 | } |
f3ae5d60 MD |
3523 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3524 | #else | |
3525 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); | |
3526 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); | |
3527 | #endif | |
3528 | { | |
3529 | SCM z; | |
3530 | if (SCM_SLOPPY_COMPLEXP (x)) | |
3531 | { | |
3532 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3533 | SCM_NEWCOMPLEX (z, | |
3534 | SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y), | |
3535 | SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y)); | |
3536 | else | |
3537 | SCM_NEWCOMPLEX (z, | |
3538 | SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y), | |
3539 | SCM_COMPLEX_IMAG (x)); | |
3540 | } | |
3541 | else | |
3542 | { | |
3543 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3544 | SCM_NEWCOMPLEX (z, | |
3545 | SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y), | |
3546 | - SCM_COMPLEX_IMAG (y)); | |
3547 | else | |
3548 | SCM_NEWREAL (z, SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y)); | |
3549 | } | |
3550 | return z; | |
3551 | } | |
f872b822 MD |
3552 | } |
3553 | if (SCM_UNBNDP (y)) | |
3554 | { | |
c209c88e | 3555 | cx = -SCM_INUM (x); |
f872b822 MD |
3556 | goto checkx; |
3557 | } | |
3558 | if (SCM_NINUMP (y)) | |
3559 | { | |
3560 | #ifdef SCM_BIGDIG | |
3561 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3562 | if (SCM_BIGP (y)) | |
3563 | { | |
3564 | #ifndef SCM_DIGSTOOBIG | |
3565 | long z = scm_pseudolong (SCM_INUM (x)); | |
3566 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
f3ae5d60 MD |
3567 | (x < 0) ? SCM_BIGSIGNFLAG : 0, |
3568 | y, SCM_BIGSIGNFLAG); | |
f872b822 MD |
3569 | #else |
3570 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3571 | scm_longdigs (SCM_INUM (x), zdigs); | |
f3ae5d60 MD |
3572 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? SCM_BIGSIGNFLAG : 0, |
3573 | y, SCM_BIGSIGNFLAG); | |
f872b822 MD |
3574 | #endif |
3575 | } | |
f3ae5d60 | 3576 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3577 | { |
3578 | bady: | |
9de33deb | 3579 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3580 | } |
f872b822 | 3581 | #else |
f3ae5d60 | 3582 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3583 | { |
3584 | bady: | |
9de33deb | 3585 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3586 | } |
f872b822 MD |
3587 | #endif |
3588 | return scm_makdbl (SCM_INUM (x) - SCM_REALPART (y), | |
f3ae5d60 | 3589 | SCM_SLOPPY_COMPLEXP (y) ? -SCM_IMAG (y) : 0.0); |
f872b822 | 3590 | } |
c209c88e | 3591 | cx = SCM_INUM (x) - SCM_INUM (y); |
0f2d19dd | 3592 | checkx: |
c209c88e GB |
3593 | if (SCM_FIXABLE (cx)) |
3594 | return SCM_MAKINUM (cx); | |
0f2d19dd | 3595 | #ifdef SCM_BIGDIG |
c209c88e | 3596 | return scm_long2big (cx); |
f872b822 | 3597 | #else |
c209c88e | 3598 | return scm_makdbl ((double) cx, 0.0); |
0f2d19dd JB |
3599 | #endif |
3600 | } | |
3601 | ||
3602 | ||
3603 | ||
3604 | ||
9de33deb | 3605 | SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product); |
1cc91f1b | 3606 | |
0f2d19dd | 3607 | SCM |
6e8d25a6 | 3608 | scm_product (SCM x, SCM y) |
0f2d19dd | 3609 | { |
f872b822 MD |
3610 | if (SCM_UNBNDP (y)) |
3611 | { | |
3612 | if (SCM_UNBNDP (x)) | |
3613 | return SCM_MAKINUM (1L); | |
0e3aa89f | 3614 | SCM_GASSERT1 (SCM_NUMBERP (x), g_product, x, SCM_ARG1, s_product); |
f872b822 MD |
3615 | return x; |
3616 | } | |
f872b822 MD |
3617 | if (SCM_NINUMP (x)) |
3618 | { | |
3619 | SCM t; | |
3620 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3621 | if (!SCM_NIMP (x)) |
3622 | { | |
3623 | badx2: | |
3624 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product); | |
3625 | } | |
f872b822 MD |
3626 | if (SCM_BIGP (x)) |
3627 | { | |
3628 | if (SCM_INUMP (y)) | |
3629 | { | |
3630 | t = x; | |
3631 | x = y; | |
3632 | y = t; | |
3633 | goto intbig; | |
3634 | } | |
3635 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3636 | if (SCM_BIGP (y)) | |
3637 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3638 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3639 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
f3ae5d60 | 3640 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 MD |
3641 | bigreal: |
3642 | { | |
3643 | double bg = scm_big2dbl (x); | |
3644 | return scm_makdbl (bg * SCM_REALPART (y), | |
f3ae5d60 | 3645 | SCM_SLOPPY_COMPLEXP (y) ? bg * SCM_IMAG (y) : 0.0); |
f872b822 MD |
3646 | } |
3647 | } | |
f3ae5d60 | 3648 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 | 3649 | #else |
f3ae5d60 | 3650 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 MD |
3651 | #endif |
3652 | if (SCM_INUMP (y)) | |
3653 | { | |
3654 | t = x; | |
3655 | x = y; | |
3656 | y = t; | |
3657 | goto intreal; | |
3658 | } | |
3659 | #ifdef SCM_BIGDIG | |
3660 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3661 | if (SCM_BIGP (y)) | |
3662 | { | |
3663 | t = x; | |
3664 | x = y; | |
3665 | y = t; | |
3666 | goto bigreal; | |
3667 | } | |
f3ae5d60 | 3668 | else if (!(SCM_SLOPPY_INEXACTP (y))) |
f872b822 MD |
3669 | { |
3670 | bady: | |
9de33deb | 3671 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3672 | } |
f872b822 | 3673 | #else |
f3ae5d60 | 3674 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3675 | { |
3676 | bady: | |
9de33deb | 3677 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3678 | } |
f872b822 | 3679 | #endif |
f3ae5d60 | 3680 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 | 3681 | { |
f3ae5d60 | 3682 | if (SCM_SLOPPY_COMPLEXP (y)) |
f872b822 MD |
3683 | return scm_makdbl (SCM_REAL (x) * SCM_REAL (y) |
3684 | - SCM_IMAG (x) * SCM_IMAG (y), | |
3685 | SCM_REAL (x) * SCM_IMAG (y) | |
3686 | + SCM_IMAG (x) * SCM_REAL (y)); | |
3687 | else | |
3688 | return scm_makdbl (SCM_REAL (x) * SCM_REALPART (y), | |
3689 | SCM_IMAG (x) * SCM_REALPART (y)); | |
3690 | } | |
3691 | return scm_makdbl (SCM_REALPART (x) * SCM_REALPART (y), | |
f3ae5d60 | 3692 | SCM_SLOPPY_COMPLEXP (y) |
f872b822 MD |
3693 | ? SCM_REALPART (x) * SCM_IMAG (y) |
3694 | : 0.0); | |
3695 | } | |
3696 | if (SCM_NINUMP (y)) | |
3697 | { | |
3698 | #ifdef SCM_BIGDIG | |
3699 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3700 | if (SCM_BIGP (y)) | |
3701 | { | |
3702 | intbig: | |
3703 | if (SCM_INUM0 == x) | |
3704 | return x; | |
3705 | if (SCM_MAKINUM (1L) == x) | |
3706 | return y; | |
3707 | { | |
3708 | #ifndef SCM_DIGSTOOBIG | |
3709 | long z = scm_pseudolong (SCM_INUM (x)); | |
3710 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3711 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3712 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3713 | #else | |
3714 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3715 | scm_longdigs (SCM_INUM (x), zdigs); | |
3716 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3717 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3718 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3719 | #endif | |
3720 | } | |
3721 | } | |
f3ae5d60 | 3722 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3723 | #else |
f3ae5d60 | 3724 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 MD |
3725 | #endif |
3726 | intreal: | |
3727 | return scm_makdbl (SCM_INUM (x) * SCM_REALPART (y), | |
f3ae5d60 | 3728 | SCM_SLOPPY_COMPLEXP (y) ? SCM_INUM (x) * SCM_IMAG (y) : 0.0); |
f872b822 | 3729 | } |
0f2d19dd JB |
3730 | { |
3731 | long i, j, k; | |
f872b822 MD |
3732 | i = SCM_INUM (x); |
3733 | if (0 == i) | |
3734 | return x; | |
3735 | j = SCM_INUM (y); | |
0f2d19dd | 3736 | k = i * j; |
f872b822 MD |
3737 | y = SCM_MAKINUM (k); |
3738 | if (k != SCM_INUM (y) || k / i != j) | |
3739 | #ifdef SCM_BIGDIG | |
3740 | { | |
3741 | int sgn = (i < 0) ^ (j < 0); | |
3742 | #ifndef SCM_DIGSTOOBIG | |
3743 | i = scm_pseudolong (i); | |
3744 | j = scm_pseudolong (j); | |
3745 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, | |
3746 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
3747 | #else /* SCM_DIGSTOOBIG */ | |
0f2d19dd JB |
3748 | SCM_BIGDIG idigs[SCM_DIGSPERLONG]; |
3749 | SCM_BIGDIG jdigs[SCM_DIGSPERLONG]; | |
f872b822 MD |
3750 | scm_longdigs (i, idigs); |
3751 | scm_longdigs (j, jdigs); | |
3752 | return scm_mulbig (idigs, SCM_DIGSPERLONG, | |
3753 | jdigs, SCM_DIGSPERLONG, | |
3754 | sgn); | |
3755 | #endif | |
0f2d19dd JB |
3756 | } |
3757 | #else | |
f872b822 | 3758 | return scm_makdbl (((double) i) * ((double) j), 0.0); |
0f2d19dd JB |
3759 | #endif |
3760 | return y; | |
3761 | } | |
3762 | } | |
3763 | ||
3764 | ||
1cc91f1b | 3765 | |
0f2d19dd | 3766 | double |
6e8d25a6 | 3767 | scm_num2dbl (SCM a, const char *why) |
0f2d19dd JB |
3768 | { |
3769 | if (SCM_INUMP (a)) | |
3770 | return (double) SCM_INUM (a); | |
0f2d19dd | 3771 | SCM_ASSERT (SCM_NIMP (a), a, "wrong type argument", why); |
f3ae5d60 | 3772 | if (SCM_SLOPPY_REALP (a)) |
0f2d19dd | 3773 | return (SCM_REALPART (a)); |
0f2d19dd JB |
3774 | #ifdef SCM_BIGDIG |
3775 | return scm_big2dbl (a); | |
3776 | #endif | |
3777 | SCM_ASSERT (0, a, "wrong type argument", why); | |
c209c88e GB |
3778 | /* |
3779 | unreachable, hopefully. | |
3780 | */ | |
3781 | return (double) 0.0; /* ugh. */ | |
3782 | /* return SCM_UNSPECIFIED; */ | |
0f2d19dd JB |
3783 | } |
3784 | ||
3785 | ||
9de33deb | 3786 | SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide); |
1cc91f1b | 3787 | |
0f2d19dd | 3788 | SCM |
6e8d25a6 | 3789 | scm_divide (SCM x, SCM y) |
0f2d19dd | 3790 | { |
0f2d19dd | 3791 | double d, r, i, a; |
f872b822 MD |
3792 | if (SCM_NINUMP (x)) |
3793 | { | |
f872b822 MD |
3794 | if (!(SCM_NIMP (x))) |
3795 | { | |
0e3aa89f MD |
3796 | if (SCM_UNBNDP (y)) |
3797 | { | |
73ef98d6 MD |
3798 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3799 | g_divide, scm_makfrom0str (s_divide), SCM_WNA, 0); | |
0e3aa89f MD |
3800 | badx: |
3801 | SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide); | |
3802 | } | |
3803 | else | |
3804 | { | |
3805 | badx2: | |
3806 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide); | |
3807 | } | |
f872b822 | 3808 | } |
f872b822 MD |
3809 | if (SCM_UNBNDP (y)) |
3810 | { | |
3811 | #ifdef SCM_BIGDIG | |
3812 | if (SCM_BIGP (x)) | |
3813 | return scm_makdbl (1.0 / scm_big2dbl (x), 0.0); | |
3814 | #endif | |
f3ae5d60 MD |
3815 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
3816 | if (SCM_SLOPPY_REALP (x)) | |
f872b822 MD |
3817 | return scm_makdbl (1.0 / SCM_REALPART (x), 0.0); |
3818 | r = SCM_REAL (x); | |
3819 | i = SCM_IMAG (x); | |
3820 | d = r * r + i * i; | |
3821 | return scm_makdbl (r / d, -i / d); | |
3822 | } | |
3823 | #ifdef SCM_BIGDIG | |
3824 | if (SCM_BIGP (x)) | |
3825 | { | |
f872b822 MD |
3826 | if (SCM_INUMP (y)) |
3827 | { | |
c209c88e | 3828 | long int z = SCM_INUM (y); |
f872b822 MD |
3829 | #ifndef SCM_RECKLESS |
3830 | if (!z) | |
3831 | scm_num_overflow (s_divide); | |
3832 | #endif | |
3833 | if (1 == z) | |
3834 | return x; | |
3835 | if (z < 0) | |
3836 | z = -z; | |
3837 | if (z < SCM_BIGRAD) | |
3838 | { | |
3839 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
3840 | return (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
3841 | (SCM_BIGDIG) z) | |
3842 | ? scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0) | |
3843 | : scm_normbig (w)); | |
3844 | } | |
3845 | #ifndef SCM_DIGSTOOBIG | |
c209c88e | 3846 | /*ugh! Does anyone know what this is supposed to do?*/ |
f872b822 | 3847 | z = scm_pseudolong (z); |
c209c88e GB |
3848 | z = SCM_INUM(scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
3849 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3850 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3)); | |
f872b822 MD |
3851 | #else |
3852 | { | |
3853 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3854 | scm_longdigs (z, zdigs); | |
3855 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3856 | zdigs, SCM_DIGSPERLONG, | |
3857 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
3858 | } | |
3859 | #endif | |
f1267706 | 3860 | return z ? SCM_PACK (z) : scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0); |
f872b822 MD |
3861 | } |
3862 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3863 | if (SCM_BIGP (y)) | |
3864 | { | |
c209c88e | 3865 | SCM z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
f872b822 MD |
3866 | SCM_BDIGITS (y), SCM_NUMDIGS (y), |
3867 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
3868 | return z ? z : scm_makdbl (scm_big2dbl (x) / scm_big2dbl (y), | |
3869 | 0.0); | |
3870 | } | |
f3ae5d60 MD |
3871 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3872 | if (SCM_SLOPPY_REALP (y)) | |
f872b822 MD |
3873 | return scm_makdbl (scm_big2dbl (x) / SCM_REALPART (y), 0.0); |
3874 | a = scm_big2dbl (x); | |
3875 | goto complex_div; | |
3876 | } | |
3877 | #endif | |
f3ae5d60 | 3878 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 MD |
3879 | if (SCM_INUMP (y)) |
3880 | { | |
3881 | d = SCM_INUM (y); | |
3882 | goto basic_div; | |
3883 | } | |
3884 | #ifdef SCM_BIGDIG | |
3885 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3886 | if (SCM_BIGP (y)) | |
3887 | { | |
3888 | d = scm_big2dbl (y); | |
3889 | goto basic_div; | |
3890 | } | |
f3ae5d60 | 3891 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3892 | #else |
f3ae5d60 | 3893 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3894 | #endif |
f3ae5d60 | 3895 | if (SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3896 | { |
3897 | d = SCM_REALPART (y); | |
3898 | basic_div: | |
3899 | return scm_makdbl (SCM_REALPART (x) / d, | |
f3ae5d60 | 3900 | SCM_SLOPPY_COMPLEXP (x) ? SCM_IMAG (x) / d : 0.0); |
f872b822 MD |
3901 | } |
3902 | a = SCM_REALPART (x); | |
f3ae5d60 | 3903 | if (SCM_SLOPPY_REALP (x)) |
f872b822 MD |
3904 | goto complex_div; |
3905 | r = SCM_REAL (y); | |
3906 | i = SCM_IMAG (y); | |
3907 | d = r * r + i * i; | |
3908 | return scm_makdbl ((a * r + SCM_IMAG (x) * i) / d, | |
3909 | (SCM_IMAG (x) * r - a * i) / d); | |
3910 | } | |
3911 | if (SCM_UNBNDP (y)) | |
3912 | { | |
3913 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
3914 | return x; | |
3915 | return scm_makdbl (1.0 / ((double) SCM_INUM (x)), 0.0); | |
3916 | } | |
3917 | if (SCM_NINUMP (y)) | |
3918 | { | |
3919 | #ifdef SCM_BIGDIG | |
3920 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3921 | if (SCM_BIGP (y)) | |
3922 | return scm_makdbl (SCM_INUM (x) / scm_big2dbl (y), 0.0); | |
f3ae5d60 | 3923 | if (!(SCM_SLOPPY_INEXACTP (y))) |
f872b822 MD |
3924 | { |
3925 | bady: | |
9de33deb | 3926 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 3927 | } |
f872b822 | 3928 | #else |
f3ae5d60 | 3929 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3930 | { |
3931 | bady: | |
9de33deb | 3932 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 3933 | } |
f872b822 | 3934 | #endif |
f3ae5d60 | 3935 | if (SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3936 | return scm_makdbl (SCM_INUM (x) / SCM_REALPART (y), 0.0); |
3937 | a = SCM_INUM (x); | |
3938 | complex_div: | |
3939 | r = SCM_REAL (y); | |
3940 | i = SCM_IMAG (y); | |
3941 | d = r * r + i * i; | |
3942 | return scm_makdbl ((a * r) / d, (-a * i) / d); | |
3943 | } | |
0f2d19dd | 3944 | { |
f872b822 MD |
3945 | long z = SCM_INUM (y); |
3946 | if ((0 == z) || SCM_INUM (x) % z) | |
3947 | goto ov; | |
3948 | z = SCM_INUM (x) / z; | |
3949 | if (SCM_FIXABLE (z)) | |
3950 | return SCM_MAKINUM (z); | |
0f2d19dd | 3951 | #ifdef SCM_BIGDIG |
f872b822 | 3952 | return scm_long2big (z); |
0f2d19dd | 3953 | #endif |
f872b822 MD |
3954 | ov: |
3955 | return scm_makdbl (((double) SCM_INUM (x)) / ((double) SCM_INUM (y)), 0.0); | |
0f2d19dd JB |
3956 | } |
3957 | } | |
3958 | ||
3959 | ||
3960 | ||
3961 | ||
9de33deb | 3962 | SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh); |
1cc91f1b | 3963 | |
0f2d19dd | 3964 | double |
6e8d25a6 | 3965 | scm_asinh (double x) |
0f2d19dd | 3966 | { |
f872b822 | 3967 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
3968 | } |
3969 | ||
3970 | ||
3971 | ||
3972 | ||
9de33deb | 3973 | SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh); |
1cc91f1b | 3974 | |
0f2d19dd | 3975 | double |
6e8d25a6 | 3976 | scm_acosh (double x) |
0f2d19dd | 3977 | { |
f872b822 | 3978 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
3979 | } |
3980 | ||
3981 | ||
3982 | ||
3983 | ||
9de33deb | 3984 | SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh); |
1cc91f1b | 3985 | |
0f2d19dd | 3986 | double |
6e8d25a6 | 3987 | scm_atanh (double x) |
0f2d19dd | 3988 | { |
f872b822 | 3989 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
3990 | } |
3991 | ||
3992 | ||
3993 | ||
3994 | ||
9de33deb | 3995 | SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate); |
1cc91f1b | 3996 | |
0f2d19dd | 3997 | double |
6e8d25a6 | 3998 | scm_truncate (double x) |
0f2d19dd | 3999 | { |
f872b822 MD |
4000 | if (x < 0.0) |
4001 | return -floor (-x); | |
4002 | return floor (x); | |
0f2d19dd JB |
4003 | } |
4004 | ||
4005 | ||
4006 | ||
9de33deb | 4007 | SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round); |
1cc91f1b | 4008 | |
0f2d19dd | 4009 | double |
6e8d25a6 | 4010 | scm_round (double x) |
0f2d19dd JB |
4011 | { |
4012 | double plus_half = x + 0.5; | |
f872b822 | 4013 | double result = floor (plus_half); |
0f2d19dd | 4014 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 4015 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
4016 | ? result - 1 : result; |
4017 | } | |
4018 | ||
4019 | ||
4020 | ||
9de33deb | 4021 | SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact); |
1cc91f1b | 4022 | |
0f2d19dd | 4023 | double |
6e8d25a6 | 4024 | scm_exact_to_inexact (double z) |
0f2d19dd JB |
4025 | { |
4026 | return z; | |
4027 | } | |
4028 | ||
4029 | ||
9de33deb MD |
4030 | SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor); |
4031 | SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil); | |
4032 | SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt); | |
4033 | SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs); | |
4034 | SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp); | |
4035 | SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log); | |
4036 | SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin); | |
4037 | SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos); | |
4038 | SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan); | |
4039 | SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin); | |
4040 | SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos); | |
4041 | SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan); | |
4042 | SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh); | |
4043 | SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh); | |
4044 | SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh); | |
f872b822 MD |
4045 | |
4046 | struct dpair | |
4047 | { | |
4048 | double x, y; | |
4049 | }; | |
4050 | ||
3eeba8d4 JB |
4051 | static void scm_two_doubles (SCM z1, |
4052 | SCM z2, | |
4053 | const char *sstring, | |
4054 | struct dpair * xy); | |
f872b822 MD |
4055 | |
4056 | static void | |
6e8d25a6 | 4057 | scm_two_doubles (SCM z1, SCM z2, const char *sstring, struct dpair *xy) |
0f2d19dd | 4058 | { |
f872b822 MD |
4059 | if (SCM_INUMP (z1)) |
4060 | xy->x = SCM_INUM (z1); | |
4061 | else | |
4062 | { | |
4063 | #ifdef SCM_BIGDIG | |
4064 | SCM_ASRTGO (SCM_NIMP (z1), badz1); | |
4065 | if (SCM_BIGP (z1)) | |
4066 | xy->x = scm_big2dbl (z1); | |
4067 | else | |
4068 | { | |
4069 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4070 | if (!SCM_SLOPPY_REALP (z1)) |
f872b822 MD |
4071 | badz1:scm_wta (z1, (char *) SCM_ARG1, sstring); |
4072 | #endif | |
4073 | xy->x = SCM_REALPART (z1); | |
4074 | } | |
4075 | #else | |
4076 | { | |
f3ae5d60 | 4077 | SCM_ASSERT (SCM_SLOPPY_REALP (z1), z1, SCM_ARG1, sstring); |
f872b822 MD |
4078 | xy->x = SCM_REALPART (z1); |
4079 | } | |
4080 | #endif | |
4081 | } | |
4082 | if (SCM_INUMP (z2)) | |
4083 | xy->y = SCM_INUM (z2); | |
4084 | else | |
4085 | { | |
4086 | #ifdef SCM_BIGDIG | |
4087 | SCM_ASRTGO (SCM_NIMP (z2), badz2); | |
4088 | if (SCM_BIGP (z2)) | |
4089 | xy->y = scm_big2dbl (z2); | |
4090 | else | |
4091 | { | |
4092 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4093 | if (!(SCM_SLOPPY_REALP (z2))) |
f872b822 MD |
4094 | badz2:scm_wta (z2, (char *) SCM_ARG2, sstring); |
4095 | #endif | |
4096 | xy->y = SCM_REALPART (z2); | |
4097 | } | |
4098 | #else | |
4099 | { | |
f3ae5d60 | 4100 | SCM_ASSERT (SCM_SLOPPY_REALP (z2), z2, SCM_ARG2, sstring); |
f872b822 MD |
4101 | xy->y = SCM_REALPART (z2); |
4102 | } | |
4103 | #endif | |
4104 | } | |
0f2d19dd JB |
4105 | } |
4106 | ||
4107 | ||
4108 | ||
4109 | ||
a1ec6916 | 4110 | SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0, |
1bbd0b84 | 4111 | (SCM z1, SCM z2), |
b380b885 | 4112 | "") |
1bbd0b84 | 4113 | #define FUNC_NAME s_scm_sys_expt |
0f2d19dd JB |
4114 | { |
4115 | struct dpair xy; | |
1bbd0b84 | 4116 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4117 | return scm_makdbl (pow (xy.x, xy.y), 0.0); |
0f2d19dd | 4118 | } |
1bbd0b84 | 4119 | #undef FUNC_NAME |
0f2d19dd JB |
4120 | |
4121 | ||
4122 | ||
a1ec6916 | 4123 | SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0, |
1bbd0b84 | 4124 | (SCM z1, SCM z2), |
b380b885 | 4125 | "") |
1bbd0b84 | 4126 | #define FUNC_NAME s_scm_sys_atan2 |
0f2d19dd JB |
4127 | { |
4128 | struct dpair xy; | |
1bbd0b84 | 4129 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4130 | return scm_makdbl (atan2 (xy.x, xy.y), 0.0); |
0f2d19dd | 4131 | } |
1bbd0b84 | 4132 | #undef FUNC_NAME |
0f2d19dd JB |
4133 | |
4134 | ||
4135 | ||
a1ec6916 | 4136 | SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0, |
1bbd0b84 | 4137 | (SCM z1, SCM z2), |
b380b885 | 4138 | "") |
1bbd0b84 | 4139 | #define FUNC_NAME s_scm_make_rectangular |
0f2d19dd JB |
4140 | { |
4141 | struct dpair xy; | |
1bbd0b84 | 4142 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4143 | return scm_makdbl (xy.x, xy.y); |
0f2d19dd | 4144 | } |
1bbd0b84 | 4145 | #undef FUNC_NAME |
0f2d19dd JB |
4146 | |
4147 | ||
4148 | ||
a1ec6916 | 4149 | SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0, |
1bbd0b84 | 4150 | (SCM z1, SCM z2), |
b380b885 | 4151 | "") |
1bbd0b84 | 4152 | #define FUNC_NAME s_scm_make_polar |
0f2d19dd JB |
4153 | { |
4154 | struct dpair xy; | |
1bbd0b84 | 4155 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4156 | return scm_makdbl (xy.x * cos (xy.y), xy.x * sin (xy.y)); |
0f2d19dd | 4157 | } |
1bbd0b84 | 4158 | #undef FUNC_NAME |
0f2d19dd JB |
4159 | |
4160 | ||
4161 | ||
4162 | ||
152f82bf | 4163 | SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part); |
1cc91f1b | 4164 | |
0f2d19dd | 4165 | SCM |
6e8d25a6 | 4166 | scm_real_part (SCM z) |
0f2d19dd | 4167 | { |
f872b822 MD |
4168 | if (SCM_NINUMP (z)) |
4169 | { | |
4170 | #ifdef SCM_BIGDIG | |
4171 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4172 | if (SCM_BIGP (z)) | |
4173 | return z; | |
f3ae5d60 | 4174 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4175 | { |
4176 | badz: | |
152f82bf | 4177 | SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4178 | } |
f872b822 | 4179 | #else |
f3ae5d60 | 4180 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4181 | g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4182 | #endif |
f3ae5d60 | 4183 | if (SCM_SLOPPY_COMPLEXP (z)) |
f872b822 MD |
4184 | return scm_makdbl (SCM_REAL (z), 0.0); |
4185 | } | |
0f2d19dd JB |
4186 | return z; |
4187 | } | |
4188 | ||
4189 | ||
4190 | ||
152f82bf | 4191 | SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part); |
1cc91f1b | 4192 | |
0f2d19dd | 4193 | SCM |
6e8d25a6 | 4194 | scm_imag_part (SCM z) |
0f2d19dd | 4195 | { |
f872b822 MD |
4196 | if (SCM_INUMP (z)) |
4197 | return SCM_INUM0; | |
4198 | #ifdef SCM_BIGDIG | |
4199 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4200 | if (SCM_BIGP (z)) | |
4201 | return SCM_INUM0; | |
f3ae5d60 | 4202 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4203 | { |
4204 | badz: | |
152f82bf | 4205 | SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4206 | } |
f872b822 | 4207 | #else |
f3ae5d60 | 4208 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4209 | g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4210 | #endif |
f3ae5d60 | 4211 | if (SCM_SLOPPY_COMPLEXP (z)) |
f872b822 | 4212 | return scm_makdbl (SCM_IMAG (z), 0.0); |
0f2d19dd JB |
4213 | return scm_flo0; |
4214 | } | |
4215 | ||
4216 | ||
4217 | ||
9de33deb | 4218 | SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude); |
1cc91f1b | 4219 | |
0f2d19dd | 4220 | SCM |
6e8d25a6 | 4221 | scm_magnitude (SCM z) |
0f2d19dd | 4222 | { |
f872b822 MD |
4223 | if (SCM_INUMP (z)) |
4224 | return scm_abs (z); | |
4225 | #ifdef SCM_BIGDIG | |
4226 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4227 | if (SCM_BIGP (z)) | |
4228 | return scm_abs (z); | |
f3ae5d60 | 4229 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4230 | { |
4231 | badz: | |
9de33deb | 4232 | SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4233 | } |
f872b822 | 4234 | #else |
f3ae5d60 | 4235 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
9de33deb | 4236 | g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4237 | #endif |
f3ae5d60 | 4238 | if (SCM_SLOPPY_COMPLEXP (z)) |
0f2d19dd | 4239 | { |
f872b822 MD |
4240 | double i = SCM_IMAG (z), r = SCM_REAL (z); |
4241 | return scm_makdbl (sqrt (i * i + r * r), 0.0); | |
0f2d19dd | 4242 | } |
f872b822 | 4243 | return scm_makdbl (fabs (SCM_REALPART (z)), 0.0); |
0f2d19dd JB |
4244 | } |
4245 | ||
4246 | ||
4247 | ||
4248 | ||
9de33deb | 4249 | SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle); |
1cc91f1b | 4250 | |
0f2d19dd | 4251 | SCM |
6e8d25a6 | 4252 | scm_angle (SCM z) |
0f2d19dd JB |
4253 | { |
4254 | double x, y = 0.0; | |
f872b822 MD |
4255 | if (SCM_INUMP (z)) |
4256 | { | |
4257 | x = (z >= SCM_INUM0) ? 1.0 : -1.0; | |
4258 | goto do_angle; | |
4259 | } | |
4260 | #ifdef SCM_BIGDIG | |
4261 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4262 | if (SCM_BIGP (z)) | |
4263 | { | |
f3ae5d60 | 4264 | x = (SCM_BIGSIGN (z)) ? -1.0 : 1.0; |
f872b822 MD |
4265 | goto do_angle; |
4266 | } | |
f3ae5d60 | 4267 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4268 | { |
4269 | badz: | |
9de33deb | 4270 | SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle); |
f872b822 | 4271 | } |
f872b822 | 4272 | #else |
f3ae5d60 | 4273 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), g_angle, z, SCM_ARG1, s_angle); |
f872b822 | 4274 | #endif |
f3ae5d60 | 4275 | if (SCM_SLOPPY_REALP (z)) |
f872b822 MD |
4276 | { |
4277 | x = SCM_REALPART (z); | |
0f2d19dd JB |
4278 | goto do_angle; |
4279 | } | |
f872b822 MD |
4280 | x = SCM_REAL (z); |
4281 | y = SCM_IMAG (z); | |
0f2d19dd | 4282 | do_angle: |
f872b822 | 4283 | return scm_makdbl (atan2 (y, x), 0.0); |
0f2d19dd JB |
4284 | } |
4285 | ||
4286 | ||
a1ec6916 | 4287 | SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0, |
1bbd0b84 | 4288 | (SCM z), |
b380b885 | 4289 | "") |
1bbd0b84 | 4290 | #define FUNC_NAME s_scm_inexact_to_exact |
0f2d19dd | 4291 | { |
f872b822 MD |
4292 | if (SCM_INUMP (z)) |
4293 | return z; | |
4294 | #ifdef SCM_BIGDIG | |
4295 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4296 | if (SCM_BIGP (z)) | |
4297 | return z; | |
4298 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4299 | if (!(SCM_SLOPPY_REALP (z))) |
f872b822 MD |
4300 | { |
4301 | badz: | |
4638e087 | 4302 | SCM_WTA (1, z); |
f872b822 MD |
4303 | } |
4304 | #endif | |
4305 | #else | |
3b3b36dd | 4306 | SCM_VALIDATE_REAL (1,z); |
f872b822 MD |
4307 | #endif |
4308 | #ifdef SCM_BIGDIG | |
0f2d19dd | 4309 | { |
f872b822 MD |
4310 | double u = floor (SCM_REALPART (z) + 0.5); |
4311 | if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM)) | |
4312 | { | |
4313 | /* Negation is a workaround for HP700 cc bug */ | |
4314 | SCM ans = SCM_MAKINUM ((long) u); | |
4315 | if (SCM_INUM (ans) == (long) u) | |
4316 | return ans; | |
4317 | } | |
e6f3ef58 | 4318 | SCM_ASRTGO (isfinite (u), badz); /* problem? */ |
f872b822 | 4319 | return scm_dbl2big (u); |
0f2d19dd | 4320 | } |
f872b822 MD |
4321 | #else |
4322 | return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5)); | |
4323 | #endif | |
0f2d19dd | 4324 | } |
1bbd0b84 | 4325 | #undef FUNC_NAME |
0f2d19dd JB |
4326 | |
4327 | ||
4328 | ||
0f2d19dd | 4329 | #ifdef SCM_BIGDIG |
0f2d19dd | 4330 | /* d must be integer */ |
1cc91f1b | 4331 | |
0f2d19dd | 4332 | SCM |
6e8d25a6 | 4333 | scm_dbl2big (double d) |
0f2d19dd JB |
4334 | { |
4335 | scm_sizet i = 0; | |
4336 | long c; | |
4337 | SCM_BIGDIG *digits; | |
4338 | SCM ans; | |
f872b822 MD |
4339 | double u = (d < 0) ? -d : d; |
4340 | while (0 != floor (u)) | |
4341 | { | |
4342 | u /= SCM_BIGRAD; | |
4343 | i++; | |
4344 | } | |
4345 | ans = scm_mkbig (i, d < 0); | |
4346 | digits = SCM_BDIGITS (ans); | |
4347 | while (i--) | |
4348 | { | |
4349 | u *= SCM_BIGRAD; | |
4350 | c = floor (u); | |
4351 | u -= c; | |
4352 | digits[i] = c; | |
4353 | } | |
cf7c17e9 | 4354 | #ifndef SCM_RECKLESS |
e1724d20 | 4355 | if (u != 0) |
52859adf | 4356 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4357 | #endif |
0f2d19dd JB |
4358 | return ans; |
4359 | } | |
4360 | ||
4361 | ||
4362 | ||
0f2d19dd | 4363 | double |
6e8d25a6 | 4364 | scm_big2dbl (SCM b) |
0f2d19dd JB |
4365 | { |
4366 | double ans = 0.0; | |
f872b822 MD |
4367 | scm_sizet i = SCM_NUMDIGS (b); |
4368 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4369 | while (i--) | |
4370 | ans = digits[i] + SCM_BIGRAD * ans; | |
f3ae5d60 MD |
4371 | if (SCM_BIGSIGN (b)) |
4372 | return - ans; | |
0f2d19dd JB |
4373 | return ans; |
4374 | } | |
f872b822 | 4375 | #endif |
0f2d19dd | 4376 | |
1cc91f1b | 4377 | |
0f2d19dd | 4378 | SCM |
6e8d25a6 | 4379 | scm_long2num (long sl) |
0f2d19dd | 4380 | { |
f872b822 MD |
4381 | if (!SCM_FIXABLE (sl)) |
4382 | { | |
0f2d19dd | 4383 | #ifdef SCM_BIGDIG |
f872b822 | 4384 | return scm_long2big (sl); |
0f2d19dd | 4385 | #else |
f872b822 | 4386 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4387 | #endif |
4388 | } | |
4389 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4390 | } |
4391 | ||
4392 | ||
5c11cc9d | 4393 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4394 | |
0f2d19dd | 4395 | SCM |
6e8d25a6 | 4396 | scm_long_long2num (long_long sl) |
0f2d19dd | 4397 | { |
f872b822 MD |
4398 | if (!SCM_FIXABLE (sl)) |
4399 | { | |
0f2d19dd | 4400 | #ifdef SCM_BIGDIG |
f872b822 | 4401 | return scm_long_long2big (sl); |
0f2d19dd | 4402 | #else |
f872b822 | 4403 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4404 | #endif |
4405 | } | |
4406 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4407 | } |
4408 | #endif | |
4409 | ||
4410 | ||
1cc91f1b | 4411 | |
0f2d19dd | 4412 | SCM |
6e8d25a6 | 4413 | scm_ulong2num (unsigned long sl) |
0f2d19dd | 4414 | { |
f872b822 MD |
4415 | if (!SCM_POSFIXABLE (sl)) |
4416 | { | |
0f2d19dd | 4417 | #ifdef SCM_BIGDIG |
f872b822 | 4418 | return scm_ulong2big (sl); |
0f2d19dd | 4419 | #else |
f872b822 | 4420 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4421 | #endif |
4422 | } | |
4423 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4424 | } |
4425 | ||
1cc91f1b | 4426 | |
0f2d19dd | 4427 | long |
6e8d25a6 | 4428 | scm_num2long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4429 | { |
4430 | long res; | |
5c11cc9d | 4431 | |
f872b822 | 4432 | if (SCM_INUMP (num)) |
0f2d19dd | 4433 | { |
f872b822 | 4434 | res = SCM_INUM (num); |
0f2d19dd JB |
4435 | return res; |
4436 | } | |
5c11cc9d | 4437 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4438 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4439 | { |
5c11cc9d GH |
4440 | volatile double u = SCM_REALPART (num); |
4441 | ||
0f2d19dd | 4442 | res = u; |
5c11cc9d GH |
4443 | if (res != u) |
4444 | goto out_of_range; | |
4445 | return res; | |
0f2d19dd | 4446 | } |
0f2d19dd | 4447 | #ifdef SCM_BIGDIG |
f872b822 MD |
4448 | if (SCM_BIGP (num)) |
4449 | { | |
5c11cc9d | 4450 | unsigned long oldres = 0; |
f872b822 | 4451 | scm_sizet l; |
5c11cc9d GH |
4452 | /* can't use res directly in case num is -2^31. */ |
4453 | unsigned long pos_res = 0; | |
4454 | ||
f872b822 MD |
4455 | for (l = SCM_NUMDIGS (num); l--;) |
4456 | { | |
5c11cc9d GH |
4457 | pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l]; |
4458 | /* check for overflow. */ | |
4459 | if (pos_res < oldres) | |
4460 | goto out_of_range; | |
4461 | oldres = pos_res; | |
f872b822 | 4462 | } |
f3ae5d60 | 4463 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4464 | { |
f3ae5d60 MD |
4465 | res = - pos_res; |
4466 | if (res > 0) | |
5c11cc9d GH |
4467 | goto out_of_range; |
4468 | } | |
f872b822 | 4469 | else |
5c11cc9d | 4470 | { |
f3ae5d60 MD |
4471 | res = pos_res; |
4472 | if (res < 0) | |
5c11cc9d GH |
4473 | goto out_of_range; |
4474 | } | |
4475 | return res; | |
f872b822 | 4476 | } |
0f2d19dd | 4477 | #endif |
5c11cc9d GH |
4478 | wrong_type_arg: |
4479 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4480 | out_of_range: | |
4481 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4482 | } |
4483 | ||
4484 | ||
4485 | ||
5c11cc9d | 4486 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4487 | |
0f2d19dd | 4488 | long_long |
6e8d25a6 | 4489 | scm_num2long_long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4490 | { |
4491 | long_long res; | |
5c11cc9d | 4492 | |
f872b822 MD |
4493 | if (SCM_INUMP (num)) |
4494 | { | |
5c11cc9d | 4495 | res = SCM_INUM (num); |
0f2d19dd JB |
4496 | return res; |
4497 | } | |
5c11cc9d | 4498 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4499 | if (SCM_SLOPPY_REALP (num)) |
f872b822 MD |
4500 | { |
4501 | double u = SCM_REALPART (num); | |
5c11cc9d GH |
4502 | |
4503 | res = u; | |
4504 | if ((res < 0 && u > 0) || (res > 0 && u < 0)) /* check for overflow. */ | |
4505 | goto out_of_range; | |
4506 | ||
4507 | return res; | |
f872b822 | 4508 | } |
0f2d19dd | 4509 | #ifdef SCM_BIGDIG |
f872b822 MD |
4510 | if (SCM_BIGP (num)) |
4511 | { | |
5c11cc9d GH |
4512 | unsigned long long oldres = 0; |
4513 | scm_sizet l; | |
4514 | /* can't use res directly in case num is -2^63. */ | |
4515 | unsigned long long pos_res = 0; | |
4516 | ||
4517 | for (l = SCM_NUMDIGS (num); l--;) | |
4518 | { | |
4519 | pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4520 | /* check for overflow. */ | |
4521 | if (pos_res < oldres) | |
4522 | goto out_of_range; | |
4523 | oldres = pos_res; | |
4524 | } | |
f3ae5d60 | 4525 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4526 | { |
f3ae5d60 MD |
4527 | res = - pos_res; |
4528 | if (res > 0) | |
5c11cc9d GH |
4529 | goto out_of_range; |
4530 | } | |
4531 | else | |
4532 | { | |
f3ae5d60 MD |
4533 | res = pos_res; |
4534 | if (res < 0) | |
5c11cc9d GH |
4535 | goto out_of_range; |
4536 | } | |
f872b822 MD |
4537 | return res; |
4538 | } | |
0f2d19dd | 4539 | #endif |
5c11cc9d GH |
4540 | wrong_type_arg: |
4541 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4542 | out_of_range: | |
4543 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4544 | } |
4545 | #endif | |
4546 | ||
4547 | ||
1cc91f1b | 4548 | |
0f2d19dd | 4549 | unsigned long |
6e8d25a6 | 4550 | scm_num2ulong (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4551 | { |
4552 | unsigned long res; | |
5c11cc9d | 4553 | |
f872b822 | 4554 | if (SCM_INUMP (num)) |
0f2d19dd | 4555 | { |
5c11cc9d GH |
4556 | if (SCM_INUM (num) < 0) |
4557 | goto out_of_range; | |
4558 | res = SCM_INUM (num); | |
0f2d19dd JB |
4559 | return res; |
4560 | } | |
5c11cc9d | 4561 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4562 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4563 | { |
f872b822 | 4564 | double u = SCM_REALPART (num); |
5c11cc9d GH |
4565 | |
4566 | res = u; | |
4567 | if (res != u) | |
4568 | goto out_of_range; | |
4569 | return res; | |
0f2d19dd | 4570 | } |
0f2d19dd | 4571 | #ifdef SCM_BIGDIG |
f872b822 MD |
4572 | if (SCM_BIGP (num)) |
4573 | { | |
5c11cc9d | 4574 | unsigned long oldres = 0; |
f872b822 | 4575 | scm_sizet l; |
5c11cc9d | 4576 | |
f872b822 | 4577 | res = 0; |
f872b822 MD |
4578 | for (l = SCM_NUMDIGS (num); l--;) |
4579 | { | |
4580 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4581 | if (res < oldres) | |
5c11cc9d | 4582 | goto out_of_range; |
f872b822 MD |
4583 | oldres = res; |
4584 | } | |
4585 | return res; | |
4586 | } | |
0f2d19dd | 4587 | #endif |
5c11cc9d GH |
4588 | wrong_type_arg: |
4589 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4590 | out_of_range: | |
4591 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4592 | } |
4593 | ||
4594 | ||
f872b822 | 4595 | #ifndef DBL_DIG |
f872b822 | 4596 | static void |
6e8d25a6 | 4597 | add1 (double f, double *fsum) |
0f2d19dd JB |
4598 | { |
4599 | *fsum = f + 1.0; | |
4600 | } | |
f872b822 | 4601 | #endif |
0f2d19dd JB |
4602 | |
4603 | ||
1cc91f1b | 4604 | |
0f2d19dd JB |
4605 | void |
4606 | scm_init_numbers () | |
0f2d19dd | 4607 | { |
f3ae5d60 MD |
4608 | scm_add_feature ("complex"); |
4609 | scm_add_feature ("inexact"); | |
4610 | SCM_NEWREAL (scm_flo0, 0.0); | |
f872b822 | 4611 | #ifdef DBL_DIG |
0f2d19dd | 4612 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 4613 | #else |
0f2d19dd JB |
4614 | { /* determine floating point precision */ |
4615 | double f = 0.1; | |
f872b822 MD |
4616 | double fsum = 1.0 + f; |
4617 | while (fsum != 1.0) | |
4618 | { | |
4619 | f /= 10.0; | |
4620 | if (++scm_dblprec > 20) | |
4621 | break; | |
4622 | add1 (f, &fsum); | |
4623 | } | |
4624 | scm_dblprec = scm_dblprec - 1; | |
0f2d19dd | 4625 | } |
f872b822 | 4626 | #endif /* DBL_DIG */ |
0f2d19dd JB |
4627 | #include "numbers.x" |
4628 | } |