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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 | 50 | #include "unif.h" |
dd856e23 | 51 | #include "feature.h" |
f04d8caf | 52 | #include "ports.h" |
23a62151 | 53 | #include "smob.h" |
7ab3fdd5 | 54 | #include "strings.h" |
003d1fd0 | 55 | #include "vectors.h" |
0f2d19dd | 56 | |
b6791b2e | 57 | #include "validate.h" |
20e6290e | 58 | #include "numbers.h" |
0f2d19dd JB |
59 | \f |
60 | #define DIGITS '0':case '1':case '2':case '3':case '4':\ | |
61 | case '5':case '6':case '7':case '8':case '9' | |
62 | ||
63 | ||
64 | /* IS_INF tests its floating point number for infiniteness | |
65 | */ | |
66 | #ifndef IS_INF | |
f872b822 | 67 | #define IS_INF(x) ((x) == (x) / 2) |
0f2d19dd JB |
68 | #endif |
69 | ||
e6f3ef58 MD |
70 | /* Return true if X is not infinite and is not a NaN |
71 | */ | |
72 | #ifndef isfinite | |
73 | #define isfinite(x) (!IS_INF (x) && (x) == (x)) | |
74 | #endif | |
75 | ||
0f2d19dd JB |
76 | \f |
77 | ||
f872b822 | 78 | |
a1ec6916 | 79 | SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0, |
1bbd0b84 | 80 | (SCM x), |
b380b885 | 81 | "") |
1bbd0b84 | 82 | #define FUNC_NAME s_scm_exact_p |
0f2d19dd | 83 | { |
f872b822 MD |
84 | if (SCM_INUMP (x)) |
85 | return SCM_BOOL_T; | |
0f2d19dd | 86 | #ifdef SCM_BIGDIG |
0c95b57d | 87 | if (SCM_BIGP (x)) |
f872b822 | 88 | return SCM_BOOL_T; |
0f2d19dd JB |
89 | #endif |
90 | return SCM_BOOL_F; | |
91 | } | |
1bbd0b84 | 92 | #undef FUNC_NAME |
0f2d19dd | 93 | |
a1ec6916 | 94 | SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0, |
1bbd0b84 | 95 | (SCM n), |
b380b885 | 96 | "") |
1bbd0b84 | 97 | #define FUNC_NAME s_scm_odd_p |
0f2d19dd JB |
98 | { |
99 | #ifdef SCM_BIGDIG | |
f872b822 MD |
100 | if (SCM_NINUMP (n)) |
101 | { | |
3b3b36dd | 102 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 103 | return SCM_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 104 | } |
0f2d19dd | 105 | #else |
3b3b36dd | 106 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 107 | #endif |
1bbd0b84 | 108 | return SCM_BOOL(4 & (int) n); |
0f2d19dd | 109 | } |
1bbd0b84 | 110 | #undef FUNC_NAME |
0f2d19dd | 111 | |
a1ec6916 | 112 | SCM_DEFINE (scm_even_p, "even?", 1, 0, 0, |
1bbd0b84 | 113 | (SCM n), |
b380b885 | 114 | "") |
1bbd0b84 | 115 | #define FUNC_NAME s_scm_even_p |
0f2d19dd JB |
116 | { |
117 | #ifdef SCM_BIGDIG | |
f872b822 MD |
118 | if (SCM_NINUMP (n)) |
119 | { | |
3b3b36dd | 120 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 121 | return SCM_NEGATE_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 122 | } |
0f2d19dd | 123 | #else |
3b3b36dd | 124 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 125 | #endif |
1bbd0b84 | 126 | return SCM_NEGATE_BOOL(4 & (int) n); |
0f2d19dd | 127 | } |
1bbd0b84 | 128 | #undef FUNC_NAME |
0f2d19dd | 129 | |
9de33deb | 130 | SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs); |
1cc91f1b | 131 | |
0f2d19dd | 132 | SCM |
6e8d25a6 | 133 | scm_abs (SCM x) |
0f2d19dd | 134 | { |
c209c88e | 135 | long int cx; |
0f2d19dd | 136 | #ifdef SCM_BIGDIG |
f872b822 MD |
137 | if (SCM_NINUMP (x)) |
138 | { | |
0c95b57d | 139 | SCM_GASSERT1 (SCM_BIGP (x), g_abs, x, SCM_ARG1, s_abs); |
f3ae5d60 | 140 | if (!SCM_BIGSIGN (x)) |
f872b822 MD |
141 | return x; |
142 | return scm_copybig (x, 0); | |
143 | } | |
0f2d19dd | 144 | #else |
9de33deb | 145 | SCM_GASSERT1 (SCM_INUMP (x), g_abs, x, SCM_ARG1, s_abs); |
0f2d19dd | 146 | #endif |
f872b822 MD |
147 | if (SCM_INUM (x) >= 0) |
148 | return x; | |
c209c88e GB |
149 | cx = - SCM_INUM (x); |
150 | if (!SCM_POSFIXABLE (cx)) | |
0f2d19dd | 151 | #ifdef SCM_BIGDIG |
c209c88e | 152 | return scm_long2big (cx); |
0f2d19dd | 153 | #else |
c209c88e | 154 | scm_num_overflow (s_abs); |
0f2d19dd | 155 | #endif |
c209c88e | 156 | return SCM_MAKINUM (cx); |
0f2d19dd JB |
157 | } |
158 | ||
9de33deb | 159 | SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient); |
1cc91f1b | 160 | |
0f2d19dd | 161 | SCM |
6e8d25a6 | 162 | scm_quotient (SCM x, SCM y) |
0f2d19dd JB |
163 | { |
164 | register long z; | |
165 | #ifdef SCM_BIGDIG | |
f872b822 MD |
166 | if (SCM_NINUMP (x)) |
167 | { | |
0c95b57d | 168 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 169 | g_quotient, x, y, SCM_ARG1, s_quotient); |
f872b822 MD |
170 | if (SCM_NINUMP (y)) |
171 | { | |
0c95b57d | 172 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
173 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
174 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
175 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
176 | } | |
177 | z = SCM_INUM (y); | |
178 | SCM_ASRTGO (z, ov); | |
179 | if (1 == z) | |
180 | return x; | |
181 | if (z < 0) | |
182 | z = -z; | |
183 | if (z < SCM_BIGRAD) | |
184 | { | |
f3ae5d60 MD |
185 | SCM sw = scm_copybig (x, |
186 | SCM_BIGSIGN (x) | |
187 | ? (SCM_UNPACK (y) > 0) | |
188 | : (SCM_UNPACK (y) < 0)); | |
c209c88e GB |
189 | scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z); |
190 | return scm_normbig (sw); | |
f872b822 | 191 | } |
c209c88e | 192 | { /* scope */ |
0f2d19dd | 193 | #ifndef SCM_DIGSTOOBIG |
c209c88e | 194 | long w = scm_pseudolong (z); |
f872b822 MD |
195 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
196 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
197 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
0f2d19dd | 198 | #else |
f872b822 MD |
199 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
200 | scm_longdigs (z, zdigs); | |
201 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
202 | zdigs, SCM_DIGSPERLONG, | |
203 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
f872b822 | 204 | #endif |
c209c88e | 205 | } /* end scope */ |
0f2d19dd | 206 | } |
f872b822 MD |
207 | if (SCM_NINUMP (y)) |
208 | { | |
0c95b57d | 209 | if (!SCM_BIGP (y)) |
f872b822 MD |
210 | { |
211 | bady: | |
9de33deb | 212 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); |
f872b822 | 213 | } |
f872b822 MD |
214 | return SCM_INUM0; |
215 | } | |
0f2d19dd | 216 | #else |
9de33deb MD |
217 | SCM_GASSERT2 (SCM_INUMP (x), g_quotient, x, y, SCM_ARG1, s_quotient); |
218 | SCM_GASSERT2 (SCM_INUMP (y), g_quotient, x, y, SCM_ARG2, s_quotient); | |
0f2d19dd | 219 | #endif |
f872b822 MD |
220 | if ((z = SCM_INUM (y)) == 0) |
221 | { | |
222 | ov: | |
223 | scm_num_overflow (s_quotient); | |
224 | } | |
225 | z = SCM_INUM (x) / z; | |
0f2d19dd JB |
226 | #ifdef BADIVSGNS |
227 | { | |
f872b822 MD |
228 | #if (__TURBOC__ == 1) |
229 | long t = ((y < 0) ? -SCM_INUM (x) : SCM_INUM (x)) % SCM_INUM (y); | |
0f2d19dd | 230 | #else |
f872b822 | 231 | long t = SCM_INUM (x) % SCM_INUM (y); |
0f2d19dd | 232 | #endif |
f872b822 | 233 | if (t == 0); |
0f2d19dd | 234 | else if (t < 0) |
f872b822 MD |
235 | if (x < 0); |
236 | else | |
237 | z--; | |
238 | else if (x < 0) | |
239 | z++; | |
0f2d19dd JB |
240 | } |
241 | #endif | |
f872b822 | 242 | if (!SCM_FIXABLE (z)) |
0f2d19dd | 243 | #ifdef SCM_BIGDIG |
f872b822 | 244 | return scm_long2big (z); |
0f2d19dd | 245 | #else |
52859adf | 246 | scm_num_overflow (s_quotient); |
0f2d19dd | 247 | #endif |
f872b822 | 248 | return SCM_MAKINUM (z); |
0f2d19dd JB |
249 | } |
250 | ||
9de33deb | 251 | SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder); |
1cc91f1b | 252 | |
0f2d19dd | 253 | SCM |
6e8d25a6 | 254 | scm_remainder (SCM x, SCM y) |
0f2d19dd JB |
255 | { |
256 | register long z; | |
257 | #ifdef SCM_BIGDIG | |
f872b822 MD |
258 | if (SCM_NINUMP (x)) |
259 | { | |
0c95b57d | 260 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 261 | g_remainder, x, y, SCM_ARG1, s_remainder); |
f872b822 MD |
262 | if (SCM_NINUMP (y)) |
263 | { | |
0c95b57d | 264 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
265 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
266 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
267 | SCM_BIGSIGN (x), 0); | |
268 | } | |
269 | if (!(z = SCM_INUM (y))) | |
270 | goto ov; | |
271 | return scm_divbigint (x, z, SCM_BIGSIGN (x), 0); | |
272 | } | |
273 | if (SCM_NINUMP (y)) | |
274 | { | |
0c95b57d | 275 | if (!SCM_BIGP (y)) |
f872b822 MD |
276 | { |
277 | bady: | |
9de33deb | 278 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); |
f872b822 | 279 | } |
f872b822 | 280 | return x; |
0f2d19dd | 281 | } |
0f2d19dd | 282 | #else |
9de33deb MD |
283 | SCM_GASSERT2 (SCM_INUMP (x), g_remainder, x, y, SCM_ARG1, s_remainder); |
284 | SCM_GASSERT2 (SCM_INUMP (y), g_remainder, x, y, SCM_ARG2, s_remainder); | |
0f2d19dd | 285 | #endif |
f872b822 MD |
286 | if (!(z = SCM_INUM (y))) |
287 | { | |
288 | ov: | |
289 | scm_num_overflow (s_remainder); | |
290 | } | |
291 | #if (__TURBOC__ == 1) | |
292 | if (z < 0) | |
293 | z = -z; | |
0f2d19dd | 294 | #endif |
f872b822 | 295 | z = SCM_INUM (x) % z; |
0f2d19dd | 296 | #ifdef BADIVSGNS |
f872b822 | 297 | if (!z); |
0f2d19dd | 298 | else if (z < 0) |
f872b822 MD |
299 | if (x < 0); |
300 | else | |
301 | z += SCM_INUM (y); | |
302 | else if (x < 0) | |
303 | z -= SCM_INUM (y); | |
0f2d19dd | 304 | #endif |
f872b822 | 305 | return SCM_MAKINUM (z); |
0f2d19dd JB |
306 | } |
307 | ||
9de33deb | 308 | SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo); |
1cc91f1b | 309 | |
0f2d19dd | 310 | SCM |
6e8d25a6 | 311 | scm_modulo (SCM x, SCM y) |
0f2d19dd JB |
312 | { |
313 | register long yy, z; | |
314 | #ifdef SCM_BIGDIG | |
f872b822 MD |
315 | if (SCM_NINUMP (x)) |
316 | { | |
0c95b57d | 317 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 318 | g_modulo, x, y, SCM_ARG1, s_modulo); |
f872b822 MD |
319 | if (SCM_NINUMP (y)) |
320 | { | |
0c95b57d | 321 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
322 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
323 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
324 | SCM_BIGSIGN (y), | |
325 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
326 | } | |
327 | if (!(z = SCM_INUM (y))) | |
328 | goto ov; | |
329 | return scm_divbigint (x, z, y < 0, | |
330 | (SCM_BIGSIGN (x) ? (y > 0) : (y < 0)) ? 1 : 0); | |
331 | } | |
332 | if (SCM_NINUMP (y)) | |
333 | { | |
0c95b57d | 334 | if (!SCM_BIGP (y)) |
f872b822 MD |
335 | { |
336 | bady: | |
9de33deb | 337 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); |
f872b822 | 338 | } |
f872b822 | 339 | return (SCM_BIGSIGN (y) ? (x > 0) : (x < 0)) ? scm_sum (x, y) : x; |
0f2d19dd | 340 | } |
0f2d19dd | 341 | #else |
9de33deb MD |
342 | SCM_GASSERT1 (SCM_INUMP (x), g_modulo, x, y, SCM_ARG1, s_modulo); |
343 | SCM_GASSERT2 (SCM_INUMP (y), g_modulo, x, y, SCM_ARG2, s_modulo); | |
0f2d19dd | 344 | #endif |
f872b822 MD |
345 | if (!(yy = SCM_INUM (y))) |
346 | { | |
347 | ov: | |
348 | scm_num_overflow (s_modulo); | |
349 | } | |
0f2d19dd | 350 | #if (__TURBOC__==1) |
f872b822 MD |
351 | z = SCM_INUM (x); |
352 | z = ((yy < 0) ? -z : z) % yy; | |
0f2d19dd | 353 | #else |
f872b822 | 354 | z = SCM_INUM (x) % yy; |
0f2d19dd | 355 | #endif |
f872b822 | 356 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); |
0f2d19dd JB |
357 | } |
358 | ||
9de33deb | 359 | SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd); |
1cc91f1b | 360 | |
0f2d19dd | 361 | SCM |
6e8d25a6 | 362 | scm_gcd (SCM x, SCM y) |
0f2d19dd | 363 | { |
c209c88e | 364 | long u, v, k, t; |
f872b822 MD |
365 | if (SCM_UNBNDP (y)) |
366 | return SCM_UNBNDP (x) ? SCM_INUM0 : x; | |
0f2d19dd JB |
367 | tailrec: |
368 | #ifdef SCM_BIGDIG | |
f872b822 MD |
369 | if (SCM_NINUMP (x)) |
370 | { | |
371 | big_gcd: | |
0c95b57d | 372 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 373 | g_gcd, x, y, SCM_ARG1, s_gcd); |
f872b822 MD |
374 | if (SCM_BIGSIGN (x)) |
375 | x = scm_copybig (x, 0); | |
376 | newy: | |
377 | if (SCM_NINUMP (y)) | |
378 | { | |
0c95b57d | 379 | SCM_GASSERT2 (SCM_BIGP (y), |
9de33deb | 380 | g_gcd, x, y, SCM_ARGn, s_gcd); |
f872b822 MD |
381 | if (SCM_BIGSIGN (y)) |
382 | y = scm_copybig (y, 0); | |
383 | switch (scm_bigcomp (x, y)) | |
384 | { | |
385 | case -1: | |
386 | swaprec: | |
c209c88e GB |
387 | { |
388 | SCM t = scm_remainder (x, y); | |
389 | x = y; | |
390 | y = t; | |
391 | } | |
f872b822 MD |
392 | goto tailrec; |
393 | case 0: | |
394 | return x; | |
395 | case 1: | |
396 | y = scm_remainder (y, x); | |
397 | goto newy; | |
398 | } | |
399 | /* instead of the switch, we could just | |
400 | return scm_gcd (y, scm_modulo (x, y)); */ | |
401 | } | |
402 | if (SCM_INUM0 == y) | |
403 | return x; | |
404 | goto swaprec; | |
0f2d19dd | 405 | } |
f872b822 MD |
406 | if (SCM_NINUMP (y)) |
407 | { | |
c209c88e | 408 | SCM t = x; |
f872b822 MD |
409 | x = y; |
410 | y = t; | |
411 | goto big_gcd; | |
412 | } | |
413 | #else | |
9de33deb MD |
414 | SCM_GASSERT2 (SCM_INUMP (x), g_gcd, x, y, SCM_ARG1, s_gcd); |
415 | SCM_GASSERT2 (SCM_INUMP (y), g_gcd, x, y, SCM_ARGn, s_gcd); | |
f872b822 MD |
416 | #endif |
417 | u = SCM_INUM (x); | |
418 | if (u < 0) | |
419 | u = -u; | |
420 | v = SCM_INUM (y); | |
421 | if (v < 0) | |
422 | v = -v; | |
423 | else if (0 == v) | |
424 | goto getout; | |
425 | if (0 == u) | |
426 | { | |
427 | u = v; | |
428 | goto getout; | |
429 | } | |
430 | for (k = 1; !(1 & ((int) u | (int) v)); k <<= 1, u >>= 1, v >>= 1); | |
431 | if (1 & (int) u) | |
432 | t = -v; | |
433 | else | |
434 | { | |
435 | t = u; | |
436 | b3: | |
437 | t = SCM_SRS (t, 1); | |
438 | } | |
439 | if (!(1 & (int) t)) | |
440 | goto b3; | |
441 | if (t > 0) | |
442 | u = t; | |
443 | else | |
444 | v = -t; | |
445 | if ((t = u - v)) | |
446 | goto b3; | |
447 | u = u * k; | |
0f2d19dd | 448 | getout: |
f872b822 | 449 | if (!SCM_POSFIXABLE (u)) |
0f2d19dd | 450 | #ifdef SCM_BIGDIG |
f872b822 | 451 | return scm_long2big (u); |
0f2d19dd | 452 | #else |
52859adf | 453 | scm_num_overflow (s_gcd); |
0f2d19dd | 454 | #endif |
f872b822 | 455 | return SCM_MAKINUM (u); |
0f2d19dd JB |
456 | } |
457 | ||
9de33deb | 458 | SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm); |
1cc91f1b | 459 | |
0f2d19dd | 460 | SCM |
6e8d25a6 | 461 | scm_lcm (SCM n1, SCM n2) |
0f2d19dd JB |
462 | { |
463 | SCM d; | |
02a3305a | 464 | #ifndef SCM_BIGDIG |
87fbf1be MD |
465 | SCM_GASSERT2 (SCM_INUMP (n1) || SCM_UNBNDP (n1), |
466 | g_lcm, n1, n2, SCM_ARG1, s_lcm); | |
02a3305a MD |
467 | SCM_GASSERT2 (SCM_INUMP (n2) || SCM_UNBNDP (n2), |
468 | g_lcm, n1, n2, SCM_ARGn, s_lcm); | |
9de33deb | 469 | #else |
87fbf1be MD |
470 | SCM_GASSERT2 (SCM_INUMP (n1) |
471 | || SCM_UNBNDP (n1) | |
0c95b57d | 472 | || (SCM_BIGP (n1)), |
9de33deb | 473 | g_lcm, n1, n2, SCM_ARG1, s_lcm); |
02a3305a MD |
474 | SCM_GASSERT2 (SCM_INUMP (n2) |
475 | || SCM_UNBNDP (n2) | |
0c95b57d | 476 | || (SCM_BIGP (n2)), |
9de33deb MD |
477 | g_lcm, n1, n2, SCM_ARGn, s_lcm); |
478 | #endif | |
f872b822 MD |
479 | if (SCM_UNBNDP (n2)) |
480 | { | |
481 | n2 = SCM_MAKINUM (1L); | |
482 | if (SCM_UNBNDP (n1)) | |
483 | return n2; | |
484 | } | |
9de33deb | 485 | |
f872b822 MD |
486 | d = scm_gcd (n1, n2); |
487 | if (SCM_INUM0 == d) | |
488 | return d; | |
489 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
0f2d19dd JB |
490 | } |
491 | ||
0f2d19dd | 492 | #ifndef scm_long2num |
c1bfcf60 GB |
493 | #define SCM_LOGOP_RETURN(x) scm_ulong2num(x) |
494 | #else | |
495 | #define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x) | |
496 | #endif | |
497 | ||
8a525303 GB |
498 | |
499 | /* Emulating 2's complement bignums with sign magnitude arithmetic: | |
500 | ||
501 | Logand: | |
502 | X Y Result Method: | |
503 | (len) | |
504 | + + + x (map digit:logand X Y) | |
505 | + - + x (map digit:logand X (lognot (+ -1 Y))) | |
506 | - + + y (map digit:logand (lognot (+ -1 X)) Y) | |
507 | - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) | |
508 | ||
509 | Logior: | |
510 | X Y Result Method: | |
511 | ||
512 | + + + (map digit:logior X Y) | |
513 | + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) | |
514 | - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) | |
515 | - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) | |
516 | ||
517 | Logxor: | |
518 | X Y Result Method: | |
519 | ||
520 | + + + (map digit:logxor X Y) | |
521 | + - - (+ 1 (map digit:logxor X (+ -1 Y))) | |
522 | - + - (+ 1 (map digit:logxor (+ -1 X) Y)) | |
523 | - - + (map digit:logxor (+ -1 X) (+ -1 Y)) | |
524 | ||
525 | Logtest: | |
526 | X Y Result | |
527 | ||
528 | + + (any digit:logand X Y) | |
529 | + - (any digit:logand X (lognot (+ -1 Y))) | |
530 | - + (any digit:logand (lognot (+ -1 X)) Y) | |
531 | - - #t | |
532 | ||
533 | */ | |
534 | ||
535 | #ifdef SCM_BIGDIG | |
536 | ||
537 | SCM scm_copy_big_dec(SCM b, int sign); | |
538 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn); | |
539 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
540 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
541 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn); | |
542 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
543 | ||
544 | SCM scm_copy_big_dec(SCM b, int sign) | |
545 | { | |
546 | long num = -1; | |
547 | scm_sizet nx = SCM_NUMDIGS(b); | |
548 | scm_sizet i = 0; | |
549 | SCM ans = scm_mkbig(nx, sign); | |
550 | SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans); | |
551 | if SCM_BIGSIGN(b) do { | |
552 | num += src[i]; | |
553 | if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;} | |
554 | else {dst[i] = SCM_BIGLO(num); num = 0;} | |
555 | } while (++i < nx); | |
556 | else | |
557 | while (nx--) dst[nx] = src[nx]; | |
558 | return ans; | |
559 | } | |
560 | ||
561 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn) | |
562 | { | |
563 | long num = -1; | |
564 | scm_sizet i = 0; | |
565 | SCM z = scm_mkbig(nx, zsgn); | |
566 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
567 | if (zsgn) do { | |
568 | num += x[i]; | |
569 | if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;} | |
570 | else {zds[i] = SCM_BIGLO(num); num = 0;} | |
571 | } while (++i < nx); | |
572 | else do zds[i] = x[i]; while (++i < nx); | |
573 | return z; | |
574 | } | |
575 | ||
576 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
577 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 578 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
579 | { |
580 | long num = -1; | |
581 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
f3ae5d60 | 582 | SCM z = scm_copy_big_dec (bigy, xsgn & SCM_BIGSIGN (bigy)); |
8a525303 GB |
583 | SCM_BIGDIG *zds = SCM_BDIGITS(z); |
584 | if (xsgn) { | |
585 | do { | |
586 | num += x[i]; | |
587 | if (num < 0) {zds[i] |= num + SCM_BIGRAD; num = -1;} | |
588 | else {zds[i] |= SCM_BIGLO(num); num = 0;} | |
589 | } while (++i < nx); | |
590 | /* ========= Need to increment zds now =========== */ | |
591 | i = 0; num = 1; | |
592 | while (i < ny) { | |
593 | num += zds[i]; | |
594 | zds[i++] = SCM_BIGLO(num); | |
595 | num = SCM_BIGDN(num); | |
596 | if (!num) return z; | |
597 | } | |
598 | scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */ | |
599 | SCM_BDIGITS(z)[ny] = 1; | |
600 | return z; | |
601 | } | |
602 | else do zds[i] = zds[i] | x[i]; while (++i < nx); | |
603 | return z; | |
604 | } | |
605 | ||
606 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
607 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 608 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
609 | { |
610 | long num = -1; | |
611 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
612 | SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy)); | |
613 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
614 | if (xsgn) do { | |
615 | num += x[i]; | |
616 | if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;} | |
617 | else {zds[i] ^= SCM_BIGLO(num); num = 0;} | |
618 | } while (++i < nx); | |
619 | else do { | |
620 | zds[i] = zds[i] ^ x[i]; | |
621 | } while (++i < nx); | |
622 | ||
623 | if (xsgn ^ SCM_BIGSIGN(bigy)) { | |
624 | /* ========= Need to increment zds now =========== */ | |
625 | i = 0; num = 1; | |
626 | while (i < ny) { | |
627 | num += zds[i]; | |
628 | zds[i++] = SCM_BIGLO(num); | |
629 | num = SCM_BIGDN(num); | |
630 | if (!num) return scm_normbig(z); | |
631 | } | |
632 | } | |
633 | return scm_normbig(z); | |
634 | } | |
635 | ||
636 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn) | |
637 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 MD |
638 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
639 | /* return sign equals either 0 or SCM_BIGSIGNFLAG */ | |
8a525303 GB |
640 | { |
641 | long num = -1; | |
642 | scm_sizet i = 0; | |
643 | SCM z; | |
644 | SCM_BIGDIG *zds; | |
645 | if (xsgn==zsgn) { | |
646 | z = scm_copy_smaller(x, nx, zsgn); | |
647 | x = SCM_BDIGITS(bigy); | |
648 | xsgn = SCM_BIGSIGN(bigy); | |
649 | } | |
650 | else z = scm_copy_big_dec(bigy, zsgn); | |
651 | zds = SCM_BDIGITS(z); | |
652 | ||
653 | if (zsgn) { | |
654 | if (xsgn) do { | |
655 | num += x[i]; | |
656 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
657 | else {zds[i] &= SCM_BIGLO(num); num = 0;} | |
658 | } while (++i < nx); | |
659 | else do zds[i] = zds[i] & ~x[i]; while (++i < nx); | |
660 | /* ========= need to increment zds now =========== */ | |
661 | i = 0; num = 1; | |
662 | while (i < nx) { | |
663 | num += zds[i]; | |
664 | zds[i++] = SCM_BIGLO(num); | |
665 | num = SCM_BIGDN(num); | |
666 | if (!num) return scm_normbig(z); | |
667 | } | |
668 | } | |
669 | else if (xsgn) do { | |
670 | num += x[i]; | |
671 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
672 | else {zds[i] &= ~SCM_BIGLO(num); num = 0;} | |
673 | } while (++i < nx); | |
674 | else do zds[i] = zds[i] & x[i]; while (++i < nx); | |
675 | return scm_normbig(z); | |
676 | } | |
677 | ||
678 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
679 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 680 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
681 | { |
682 | SCM_BIGDIG *y; | |
683 | scm_sizet i = 0; | |
684 | long num = -1; | |
685 | if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T; | |
686 | if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T; | |
687 | y = SCM_BDIGITS(bigy); | |
688 | if (xsgn) | |
689 | do { | |
690 | num += x[i]; | |
691 | if (num < 0) { | |
692 | if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
693 | num = -1; | |
694 | } | |
695 | else { | |
696 | if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
697 | num = 0; | |
698 | } | |
699 | } while (++i < nx); | |
700 | else if SCM_BIGSIGN(bigy) | |
701 | do { | |
702 | num += y[i]; | |
703 | if (num < 0) { | |
704 | if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
705 | num = -1; | |
706 | } | |
707 | else { | |
708 | if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
709 | num = 0; | |
710 | } | |
711 | } while (++i < nx); | |
712 | else | |
713 | do if (x[i] & y[i]) return SCM_BOOL_T; | |
714 | while (++i < nx); | |
715 | return SCM_BOOL_F; | |
716 | } | |
717 | ||
718 | #endif | |
719 | ||
c3ee7520 | 720 | SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr, |
1bbd0b84 | 721 | (SCM n1, SCM n2), |
b380b885 MD |
722 | "Returns the integer which is the bit-wise AND of the two integer\n" |
723 | "arguments.\n\n" | |
724 | "Example:\n" | |
725 | "@lisp\n" | |
726 | "(number->string (logand #b1100 #b1010) 2)\n" | |
727 | " @result{} \"1000\"") | |
1bbd0b84 | 728 | #define FUNC_NAME s_scm_logand |
0f2d19dd | 729 | { |
f872b822 | 730 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
731 | { |
732 | if (SCM_UNBNDP (n1)) | |
733 | return SCM_MAKINUM (-1); | |
8a525303 | 734 | #ifndef SCM_RECKLESS |
f3ae5d60 MD |
735 | if (!(SCM_NUMBERP (n1))) |
736 | badx: SCM_WTA (SCM_ARG1, n1); | |
8a525303 | 737 | #endif |
d28da049 MD |
738 | return n1; |
739 | } | |
8a525303 GB |
740 | #ifdef SCM_BIGDIG |
741 | if SCM_NINUMP(n1) { | |
742 | SCM t; | |
743 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
744 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
745 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
746 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
747 | if ((SCM_BIGSIGN(n1)) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
748 | return scm_big_ior (SCM_BDIGITS(n1), |
749 | SCM_NUMDIGS(n1), | |
750 | SCM_BIGSIGNFLAG, | |
751 | n2); | |
752 | return scm_big_and (SCM_BDIGITS(n1), | |
753 | SCM_NUMDIGS(n1), | |
754 | SCM_BIGSIGN(n1), | |
755 | n2, | |
756 | 0); | |
8a525303 GB |
757 | } |
758 | if SCM_NINUMP(n2) { | |
759 | # ifndef SCM_RECKLESS | |
760 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
761 | bady: SCM_WTA (SCM_ARG2, n2); | |
762 | # endif | |
763 | intbig: { | |
764 | # ifndef SCM_DIGSTOOBIG | |
765 | long z = scm_pseudolong(SCM_INUM(n1)); | |
766 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
767 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); |
768 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
8a525303 GB |
769 | # else |
770 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
771 | scm_longdigs(SCM_INUM(n1), zdigs); | |
772 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
773 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); |
774 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
8a525303 GB |
775 | # endif |
776 | }} | |
777 | #else | |
778 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
779 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
780 | #endif | |
781 | return SCM_MAKINUM(SCM_INUM(n1) & SCM_INUM(n2)); | |
0f2d19dd | 782 | } |
1bbd0b84 | 783 | #undef FUNC_NAME |
0f2d19dd | 784 | |
c3ee7520 | 785 | SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr, |
1bbd0b84 | 786 | (SCM n1, SCM n2), |
b380b885 MD |
787 | "Returns the integer which is the bit-wise OR of the two integer\n" |
788 | "arguments.\n\n" | |
789 | "Example:\n" | |
790 | "@lisp\n" | |
791 | "(number->string (logior #b1100 #b1010) 2)\n" | |
792 | " @result{} \"1110\"\n" | |
793 | "@end lisp") | |
1bbd0b84 | 794 | #define FUNC_NAME s_scm_logior |
0f2d19dd | 795 | { |
f872b822 | 796 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
797 | { |
798 | if (SCM_UNBNDP (n1)) | |
799 | return SCM_INUM0; | |
8a525303 GB |
800 | #ifndef SCM_RECKLESS |
801 | if (!(SCM_NUMBERP(n1))) | |
802 | badx: SCM_WTA(SCM_ARG1, n1); | |
803 | #endif | |
d28da049 MD |
804 | return n1; |
805 | } | |
8a525303 GB |
806 | #ifdef SCM_BIGDIG |
807 | if SCM_NINUMP(n1) { | |
808 | SCM t; | |
809 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
810 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
811 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
812 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
813 | if ((!SCM_BIGSIGN(n1)) && !SCM_BIGSIGN(n2)) | |
814 | return scm_big_ior(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
f3ae5d60 | 815 | return scm_big_and(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2, SCM_BIGSIGNFLAG); |
8a525303 GB |
816 | } |
817 | if SCM_NINUMP(n2) { | |
818 | # ifndef SCM_RECKLESS | |
819 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
820 | bady: SCM_WTA(SCM_ARG2, n2); | |
821 | # endif | |
822 | intbig: { | |
823 | # ifndef SCM_DIGSTOOBIG | |
824 | long z = scm_pseudolong(SCM_INUM(n1)); | |
825 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
826 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
827 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
8a525303 GB |
828 | # else |
829 | BIGDIG zdigs[DIGSPERLONG]; | |
830 | scm_longdigs(SCM_INUM(n1), zdigs); | |
831 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
832 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
833 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
8a525303 GB |
834 | # endif |
835 | }} | |
836 | #else | |
837 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
838 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
839 | #endif | |
840 | return SCM_MAKINUM(SCM_INUM(n1) | SCM_INUM(n2)); | |
0f2d19dd | 841 | } |
1bbd0b84 | 842 | #undef FUNC_NAME |
0f2d19dd | 843 | |
c3ee7520 | 844 | SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr, |
1bbd0b84 | 845 | (SCM n1, SCM n2), |
b380b885 MD |
846 | "Returns the integer which is the bit-wise XOR of the two integer\n" |
847 | "arguments.\n\n" | |
848 | "Example:\n" | |
849 | "@lisp\n" | |
850 | "(number->string (logxor #b1100 #b1010) 2)\n" | |
851 | " @result{} \"110\"\n" | |
852 | "@end lisp") | |
1bbd0b84 | 853 | #define FUNC_NAME s_scm_logxor |
0f2d19dd | 854 | { |
f872b822 | 855 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
856 | { |
857 | if (SCM_UNBNDP (n1)) | |
858 | return SCM_INUM0; | |
8a525303 GB |
859 | #ifndef SCM_RECKLESS |
860 | if (!(SCM_NUMBERP(n1))) | |
861 | badx: SCM_WTA(SCM_ARG1, n1); | |
862 | #endif | |
d28da049 MD |
863 | return n1; |
864 | } | |
8a525303 GB |
865 | #ifdef SCM_BIGDIG |
866 | if SCM_NINUMP(n1) { | |
867 | SCM t; | |
868 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
869 | if SCM_INUMP(n2) | |
870 | { | |
871 | t = n1; | |
872 | n1 = n2; | |
873 | n2 = t; | |
874 | goto intbig; | |
875 | } | |
876 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
877 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) | |
878 | { | |
879 | t = n1; | |
880 | n1 = n2; | |
881 | n2 = t; | |
882 | } | |
883 | return scm_big_xor(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
884 | } | |
885 | if SCM_NINUMP(n2) { | |
886 | # ifndef SCM_RECKLESS | |
887 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
888 | bady: SCM_WTA (SCM_ARG2, n2); | |
889 | # endif | |
890 | intbig: | |
891 | { | |
892 | # ifndef SCM_DIGSTOOBIG | |
893 | long z = scm_pseudolong(SCM_INUM(n1)); | |
f3ae5d60 | 894 | return scm_big_xor((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
895 | # else |
896 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
897 | scm_longdigs(SCM_INUM(n1), zdigs); | |
f3ae5d60 | 898 | return scm_big_xor(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
899 | # endif |
900 | } | |
901 | } | |
902 | #else | |
903 | SCM_ASRTGO(INUMP(n1), badx); | |
904 | SCM_ASSERT(INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
905 | #endif | |
906 | return SCM_MAKINUM(SCM_INUM(n1) ^ SCM_INUM(n2)); | |
0f2d19dd | 907 | } |
1bbd0b84 | 908 | #undef FUNC_NAME |
0f2d19dd | 909 | |
a1ec6916 | 910 | SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0, |
1bbd0b84 | 911 | (SCM n1, SCM n2), |
b380b885 MD |
912 | "@example\n" |
913 | "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n" | |
914 | "(logtest #b0100 #b1011) @result{} #f\n" | |
915 | "(logtest #b0100 #b0111) @result{} #t\n" | |
916 | "@end example") | |
1bbd0b84 | 917 | #define FUNC_NAME s_scm_logtest |
0f2d19dd | 918 | { |
8a525303 GB |
919 | #ifndef SCM_RECKLESS |
920 | if (!(SCM_NUMBERP(n1))) | |
921 | badx: SCM_WTA(SCM_ARG1, n1); | |
922 | #endif | |
923 | #ifdef SCM_BIGDIG | |
924 | if SCM_NINUMP(n1) { | |
925 | SCM t; | |
926 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
927 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
928 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
929 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
930 | return scm_big_test(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
931 | } | |
932 | if SCM_NINUMP(n2) { | |
933 | # ifndef SCM_RECKLESS | |
934 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
935 | bady: SCM_WTA(SCM_ARG2, n2); | |
936 | # endif | |
937 | intbig: { | |
938 | # ifndef SCM_DIGSTOOBIG | |
939 | long z = scm_pseudolong(SCM_INUM(n1)); | |
f3ae5d60 | 940 | return scm_big_test((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
941 | # else |
942 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
943 | scm_longdigs(SCM_INUM(n1), zdigs); | |
f3ae5d60 | 944 | return scm_big_test(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
945 | # endif |
946 | }} | |
947 | #else | |
948 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
949 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
950 | #endif | |
951 | return (SCM_INUM(n1) & SCM_INUM(n2)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 952 | } |
1bbd0b84 | 953 | #undef FUNC_NAME |
0f2d19dd | 954 | |
c1bfcf60 | 955 | |
a1ec6916 | 956 | SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0, |
2cd04b42 | 957 | (SCM index, SCM j), |
b380b885 MD |
958 | "@example\n" |
959 | "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n" | |
960 | "(logbit? 0 #b1101) @result{} #t\n" | |
961 | "(logbit? 1 #b1101) @result{} #f\n" | |
962 | "(logbit? 2 #b1101) @result{} #t\n" | |
963 | "(logbit? 3 #b1101) @result{} #t\n" | |
964 | "(logbit? 4 #b1101) @result{} #f\n" | |
965 | "@end example") | |
1bbd0b84 | 966 | #define FUNC_NAME s_scm_logbit_p |
0f2d19dd | 967 | { |
8a525303 GB |
968 | SCM_ASSERT(SCM_INUMP(index) && SCM_INUM(index) >= 0, index, SCM_ARG1, FUNC_NAME); |
969 | #ifdef SCM_BIGDIG | |
970 | if SCM_NINUMP(j) { | |
971 | SCM_ASSERT(SCM_NIMP(j) && SCM_BIGP(j), j, SCM_ARG2, FUNC_NAME); | |
972 | if (SCM_NUMDIGS(j) * SCM_BITSPERDIG < SCM_INUM(index)) return SCM_BOOL_F; | |
973 | else if SCM_BIGSIGN(j) { | |
974 | long num = -1; | |
975 | scm_sizet i = 0; | |
976 | SCM_BIGDIG *x = SCM_BDIGITS(j); | |
977 | scm_sizet nx = SCM_INUM(index)/SCM_BITSPERDIG; | |
978 | while (!0) { | |
979 | num += x[i]; | |
980 | if (nx==i++) | |
981 | return ((1L << (SCM_INUM(index)%SCM_BITSPERDIG)) & num) ? SCM_BOOL_F : SCM_BOOL_T; | |
982 | if (num < 0) num = -1; | |
983 | else num = 0; | |
984 | } | |
985 | } | |
986 | else return (SCM_BDIGITS(j)[SCM_INUM(index)/SCM_BITSPERDIG] & | |
987 | (1L << (SCM_INUM(index)%SCM_BITSPERDIG))) ? SCM_BOOL_T : SCM_BOOL_F; | |
988 | } | |
989 | #else | |
990 | SCM_ASSERT(SCM_INUMP(j), j, SCM_ARG2, FUNC_NAME); | |
991 | #endif | |
992 | return ((1L << SCM_INUM(index)) & SCM_INUM(j)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 993 | } |
1bbd0b84 | 994 | #undef FUNC_NAME |
0f2d19dd | 995 | |
a1ec6916 | 996 | SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0, |
1bbd0b84 | 997 | (SCM n), |
b380b885 MD |
998 | "Returns the integer which is the 2s-complement of the integer argument.\n\n" |
999 | "Example:\n" | |
1000 | "@lisp\n" | |
1001 | "(number->string (lognot #b10000000) 2)\n" | |
1002 | " @result{} \"-10000001\"\n" | |
1003 | "(number->string (lognot #b0) 2)\n" | |
1004 | " @result{} \"-1\"\n" | |
1005 | "@end lisp\n" | |
1006 | "") | |
1bbd0b84 | 1007 | #define FUNC_NAME s_scm_lognot |
0f2d19dd | 1008 | { |
f872b822 | 1009 | return scm_difference (SCM_MAKINUM (-1L), n); |
0f2d19dd | 1010 | } |
1bbd0b84 | 1011 | #undef FUNC_NAME |
0f2d19dd | 1012 | |
a1ec6916 | 1013 | SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0, |
2cd04b42 | 1014 | (SCM n, SCM k), |
b380b885 MD |
1015 | "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n" |
1016 | "Example:\n" | |
1017 | "@lisp\n" | |
1018 | "(integer-expt 2 5)\n" | |
1019 | " @result{} 32\n" | |
1020 | "(integer-expt -3 3)\n" | |
1021 | " @result{} -27\n" | |
1022 | "@end lisp") | |
1bbd0b84 | 1023 | #define FUNC_NAME s_scm_integer_expt |
0f2d19dd | 1024 | { |
f872b822 | 1025 | SCM acc = SCM_MAKINUM (1L); |
1bbd0b84 | 1026 | int i2; |
0f2d19dd | 1027 | #ifdef SCM_BIGDIG |
2cd04b42 GB |
1028 | if (SCM_INUM0 == n || acc == n) |
1029 | return n; | |
1030 | else if (SCM_MAKINUM (-1L) == n) | |
1031 | return SCM_BOOL_F == scm_even_p (k) ? n : acc; | |
0f2d19dd | 1032 | #endif |
2cd04b42 | 1033 | SCM_VALIDATE_ULONG_COPY (2,k,i2); |
1bbd0b84 | 1034 | if (i2 < 0) |
f872b822 | 1035 | { |
1bbd0b84 | 1036 | i2 = -i2; |
2cd04b42 | 1037 | n = scm_divide (n, SCM_UNDEFINED); |
f872b822 MD |
1038 | } |
1039 | while (1) | |
1040 | { | |
1bbd0b84 | 1041 | if (0 == i2) |
f872b822 | 1042 | return acc; |
1bbd0b84 | 1043 | if (1 == i2) |
2cd04b42 | 1044 | return scm_product (acc, n); |
1bbd0b84 | 1045 | if (i2 & 1) |
2cd04b42 GB |
1046 | acc = scm_product (acc, n); |
1047 | n = scm_product (n, n); | |
1bbd0b84 | 1048 | i2 >>= 1; |
f872b822 | 1049 | } |
0f2d19dd | 1050 | } |
1bbd0b84 | 1051 | #undef FUNC_NAME |
0f2d19dd | 1052 | |
a1ec6916 | 1053 | SCM_DEFINE (scm_ash, "ash", 2, 0, 0, |
1bbd0b84 | 1054 | (SCM n, SCM cnt), |
b380b885 MD |
1055 | "Returns an integer equivalent to\n" |
1056 | "@code{(inexact->exact (floor (* @var{int} (expt 2 @var{count}))))}.@refill\n\n" | |
1057 | "Example:\n" | |
1058 | "@lisp\n" | |
1059 | "(number->string (ash #b1 3) 2)\n" | |
a3c8b9fc MD |
1060 | " @result{} \"1000\"" |
1061 | "(number->string (ash #b1010 -1) 2)" | |
1062 | " @result{} \"101\"" | |
1063 | "@end lisp") | |
1bbd0b84 | 1064 | #define FUNC_NAME s_scm_ash |
0f2d19dd | 1065 | { |
1bbd0b84 | 1066 | /* GJB:FIXME:: what is going on here? */ |
f1267706 | 1067 | SCM res = SCM_PACK (SCM_INUM (n)); |
3b3b36dd | 1068 | SCM_VALIDATE_INUM (2,cnt); |
0f2d19dd | 1069 | #ifdef SCM_BIGDIG |
f872b822 MD |
1070 | if (cnt < 0) |
1071 | { | |
1072 | res = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-SCM_INUM (cnt))); | |
1073 | if (SCM_NFALSEP (scm_negative_p (n))) | |
1074 | return scm_sum (SCM_MAKINUM (-1L), | |
1075 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), res)); | |
1076 | else | |
1077 | return scm_quotient (n, res); | |
1078 | } | |
1079 | else | |
1080 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); | |
0f2d19dd | 1081 | #else |
3b3b36dd | 1082 | SCM_VALIDATE_INUM (1,n) |
f872b822 MD |
1083 | cnt = SCM_INUM (cnt); |
1084 | if (cnt < 0) | |
1085 | return SCM_MAKINUM (SCM_SRS (res, -cnt)); | |
1086 | res = SCM_MAKINUM (res << cnt); | |
1087 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
1bbd0b84 | 1088 | scm_num_overflow (FUNC_NAME); |
0f2d19dd JB |
1089 | return res; |
1090 | #endif | |
1091 | } | |
1bbd0b84 | 1092 | #undef FUNC_NAME |
0f2d19dd | 1093 | |
1bbd0b84 | 1094 | /* GJB:FIXME: do not use SCMs as integers! */ |
a1ec6916 | 1095 | SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0, |
1bbd0b84 | 1096 | (SCM n, SCM start, SCM end), |
b380b885 MD |
1097 | "Returns the integer composed of the @var{start} (inclusive) through\n" |
1098 | "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n" | |
1099 | "the 0-th bit in the result.@refill\n\n" | |
1100 | "Example:\n" | |
1101 | "@lisp\n" | |
1102 | "(number->string (bit-extract #b1101101010 0 4) 2)\n" | |
1103 | " @result{} \"1010\"\n" | |
1104 | "(number->string (bit-extract #b1101101010 4 9) 2)\n" | |
1105 | " @result{} \"10110\"\n" | |
1106 | "@end lisp") | |
1bbd0b84 | 1107 | #define FUNC_NAME s_scm_bit_extract |
0f2d19dd | 1108 | { |
c1bfcf60 | 1109 | int istart, iend; |
3b3b36dd | 1110 | SCM_VALIDATE_INUM (1,n); |
c1bfcf60 GB |
1111 | SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart); |
1112 | SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend); | |
1113 | SCM_ASSERT_RANGE (3, end, (iend >= istart)); | |
0f2d19dd | 1114 | #ifdef SCM_BIGDIG |
f872b822 | 1115 | if (SCM_NINUMP (n)) |
0f2d19dd | 1116 | return |
f872b822 | 1117 | scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2), |
c1bfcf60 | 1118 | SCM_MAKINUM (iend - istart)), |
f872b822 | 1119 | SCM_MAKINUM (1L)), |
c1bfcf60 | 1120 | scm_ash (n, SCM_MAKINUM (-istart))); |
0f2d19dd | 1121 | #else |
3b3b36dd | 1122 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1123 | #endif |
c1bfcf60 | 1124 | return SCM_MAKINUM ((SCM_INUM (n) >> istart) & ((1L << (iend - istart)) - 1)); |
0f2d19dd | 1125 | } |
1bbd0b84 | 1126 | #undef FUNC_NAME |
0f2d19dd | 1127 | |
e4755e5c JB |
1128 | static const char scm_logtab[] = { |
1129 | 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 | |
1130 | }; | |
1cc91f1b | 1131 | |
a1ec6916 | 1132 | SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0, |
1bbd0b84 | 1133 | (SCM n), |
b380b885 MD |
1134 | "Returns the number of bits in integer @var{n}. If integer is positive,\n" |
1135 | "the 1-bits in its binary representation are counted. If negative, the\n" | |
1136 | "0-bits in its two's-complement binary representation are counted. If 0,\n" | |
1137 | "0 is returned.\n\n" | |
1138 | "Example:\n" | |
1139 | "@lisp\n" | |
1140 | "(logcount #b10101010)\n" | |
1141 | " @result{} 4\n" | |
1142 | "(logcount 0)\n" | |
1143 | " @result{} 0\n" | |
1144 | "(logcount -2)\n" | |
1145 | " @result{} 1\n" | |
1146 | "@end lisp") | |
1bbd0b84 | 1147 | #define FUNC_NAME s_scm_logcount |
0f2d19dd JB |
1148 | { |
1149 | register unsigned long c = 0; | |
1150 | register long nn; | |
1151 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1152 | if (SCM_NINUMP (n)) |
1153 | { | |
1154 | scm_sizet i; | |
1155 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1156 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1157 | if (SCM_BIGSIGN (n)) |
1158 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
1159 | ds = SCM_BDIGITS (n); | |
1160 | for (i = SCM_NUMDIGS (n); i--;) | |
1161 | for (d = ds[i]; d; d >>= 4) | |
1162 | c += scm_logtab[15 & d]; | |
1163 | return SCM_MAKINUM (c); | |
1164 | } | |
0f2d19dd | 1165 | #else |
3b3b36dd | 1166 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1167 | #endif |
f872b822 MD |
1168 | if ((nn = SCM_INUM (n)) < 0) |
1169 | nn = -1 - nn; | |
1170 | for (; nn; nn >>= 4) | |
1171 | c += scm_logtab[15 & nn]; | |
1172 | return SCM_MAKINUM (c); | |
0f2d19dd | 1173 | } |
1bbd0b84 GB |
1174 | #undef FUNC_NAME |
1175 | ||
0f2d19dd | 1176 | |
e4755e5c JB |
1177 | static const char scm_ilentab[] = { |
1178 | 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 | |
1179 | }; | |
1cc91f1b | 1180 | |
a1ec6916 | 1181 | SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0, |
1bbd0b84 | 1182 | (SCM n), |
b380b885 MD |
1183 | "Returns the number of bits neccessary to represent @var{n}.\n\n" |
1184 | "Example:\n" | |
1185 | "@lisp\n" | |
1186 | "(integer-length #b10101010)\n" | |
1187 | " @result{} 8\n" | |
1188 | "(integer-length 0)\n" | |
1189 | " @result{} 0\n" | |
1190 | "(integer-length #b1111)\n" | |
1191 | " @result{} 4\n" | |
1192 | "@end lisp") | |
1bbd0b84 | 1193 | #define FUNC_NAME s_scm_integer_length |
0f2d19dd JB |
1194 | { |
1195 | register unsigned long c = 0; | |
1196 | register long nn; | |
1197 | unsigned int l = 4; | |
1198 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1199 | if (SCM_NINUMP (n)) |
1200 | { | |
1201 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1202 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1203 | if (SCM_BIGSIGN (n)) |
1204 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
1205 | ds = SCM_BDIGITS (n); | |
1206 | d = ds[c = SCM_NUMDIGS (n) - 1]; | |
1207 | for (c *= SCM_BITSPERDIG; d; d >>= 4) | |
1208 | { | |
1209 | c += 4; | |
1210 | l = scm_ilentab[15 & d]; | |
1211 | } | |
1212 | return SCM_MAKINUM (c - 4 + l); | |
1213 | } | |
0f2d19dd | 1214 | #else |
3b3b36dd | 1215 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1216 | #endif |
f872b822 MD |
1217 | if ((nn = SCM_INUM (n)) < 0) |
1218 | nn = -1 - nn; | |
1219 | for (; nn; nn >>= 4) | |
1220 | { | |
1221 | c += 4; | |
1222 | l = scm_ilentab[15 & nn]; | |
1223 | } | |
1224 | return SCM_MAKINUM (c - 4 + l); | |
0f2d19dd | 1225 | } |
1bbd0b84 | 1226 | #undef FUNC_NAME |
0f2d19dd JB |
1227 | |
1228 | ||
1229 | #ifdef SCM_BIGDIG | |
e4755e5c | 1230 | static const char s_bignum[] = "bignum"; |
1cc91f1b | 1231 | |
0f2d19dd | 1232 | SCM |
1bbd0b84 | 1233 | scm_mkbig (scm_sizet nlen, int sign) |
0f2d19dd | 1234 | { |
c209c88e GB |
1235 | SCM v; |
1236 | /* Cast to long int to avoid signed/unsigned comparison warnings. */ | |
f3ae5d60 MD |
1237 | if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) |
1238 | != (long int) nlen) | |
e4755e5c | 1239 | scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, s_bignum); |
c209c88e | 1240 | |
f872b822 | 1241 | SCM_NEWCELL (v); |
0f2d19dd | 1242 | SCM_DEFER_INTS; |
f872b822 | 1243 | SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)), |
e4755e5c | 1244 | s_bignum)); |
f3ae5d60 | 1245 | SCM_SETNUMDIGS (v, nlen, sign); |
0f2d19dd JB |
1246 | SCM_ALLOW_INTS; |
1247 | return v; | |
1248 | } | |
1249 | ||
1cc91f1b | 1250 | |
0f2d19dd | 1251 | SCM |
1bbd0b84 | 1252 | scm_big2inum (SCM b, scm_sizet l) |
0f2d19dd JB |
1253 | { |
1254 | unsigned long num = 0; | |
f872b822 MD |
1255 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
1256 | while (l--) | |
1257 | num = SCM_BIGUP (num) + tmp[l]; | |
f3ae5d60 | 1258 | if (!SCM_BIGSIGN (b)) |
f872b822 MD |
1259 | { |
1260 | if (SCM_POSFIXABLE (num)) | |
1261 | return SCM_MAKINUM (num); | |
1262 | } | |
1263 | else if (SCM_UNEGFIXABLE (num)) | |
1264 | return SCM_MAKINUM (-num); | |
0f2d19dd JB |
1265 | return b; |
1266 | } | |
1267 | ||
1268 | ||
e4755e5c | 1269 | static const char s_adjbig[] = "scm_adjbig"; |
1cc91f1b | 1270 | |
0f2d19dd | 1271 | SCM |
1bbd0b84 | 1272 | scm_adjbig (SCM b, scm_sizet nlen) |
0f2d19dd | 1273 | { |
2bf746cc | 1274 | scm_sizet nsiz = nlen; |
f3ae5d60 | 1275 | if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen) |
f872b822 | 1276 | scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig); |
2bf746cc | 1277 | |
0f2d19dd | 1278 | SCM_DEFER_INTS; |
2bf746cc JB |
1279 | { |
1280 | SCM_BIGDIG *digits | |
1281 | = ((SCM_BIGDIG *) | |
f872b822 MD |
1282 | scm_must_realloc ((char *) SCM_CHARS (b), |
1283 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), | |
1284 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_adjbig)); | |
2bf746cc JB |
1285 | |
1286 | SCM_SETCHARS (b, digits); | |
f3ae5d60 | 1287 | SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b)); |
2bf746cc | 1288 | } |
0f2d19dd JB |
1289 | SCM_ALLOW_INTS; |
1290 | return b; | |
1291 | } | |
1292 | ||
1293 | ||
1cc91f1b | 1294 | |
0f2d19dd | 1295 | SCM |
1bbd0b84 | 1296 | scm_normbig (SCM b) |
0f2d19dd | 1297 | { |
f872b822 MD |
1298 | #ifndef _UNICOS |
1299 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 1300 | #else |
f872b822 | 1301 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 1302 | #endif |
f872b822 MD |
1303 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
1304 | while (nlen-- && !zds[nlen]); | |
1305 | nlen++; | |
1306 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
1307 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
1308 | return b; | |
1309 | if (SCM_NUMDIGS (b) == nlen) | |
1310 | return b; | |
1311 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
1312 | } |
1313 | ||
1314 | ||
1cc91f1b | 1315 | |
0f2d19dd | 1316 | SCM |
1bbd0b84 | 1317 | scm_copybig (SCM b, int sign) |
0f2d19dd | 1318 | { |
f872b822 MD |
1319 | scm_sizet i = SCM_NUMDIGS (b); |
1320 | SCM ans = scm_mkbig (i, sign); | |
1321 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
1322 | while (i--) | |
1323 | dst[i] = src[i]; | |
0f2d19dd JB |
1324 | return ans; |
1325 | } | |
1326 | ||
1327 | ||
1cc91f1b | 1328 | |
0f2d19dd | 1329 | SCM |
1bbd0b84 | 1330 | scm_long2big (long n) |
0f2d19dd JB |
1331 | { |
1332 | scm_sizet i = 0; | |
1333 | SCM_BIGDIG *digits; | |
f872b822 MD |
1334 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
1335 | digits = SCM_BDIGITS (ans); | |
1336 | if (n < 0) | |
1337 | n = -n; | |
1338 | while (i < SCM_DIGSPERLONG) | |
1339 | { | |
1340 | digits[i++] = SCM_BIGLO (n); | |
1341 | n = SCM_BIGDN ((unsigned long) n); | |
1342 | } | |
0f2d19dd JB |
1343 | return ans; |
1344 | } | |
1345 | ||
5c11cc9d | 1346 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 1347 | |
0f2d19dd | 1348 | SCM |
1bbd0b84 | 1349 | scm_long_long2big (long_long n) |
0f2d19dd JB |
1350 | { |
1351 | scm_sizet i; | |
1352 | SCM_BIGDIG *digits; | |
1353 | SCM ans; | |
1354 | int n_digits; | |
1355 | ||
1356 | { | |
1357 | long tn; | |
1358 | tn = (long) n; | |
f872b822 | 1359 | if ((long long) tn == n) |
0f2d19dd JB |
1360 | return scm_long2big (tn); |
1361 | } | |
1362 | ||
1363 | { | |
1364 | long_long tn; | |
1365 | ||
1366 | for (tn = n, n_digits = 0; | |
1367 | tn; | |
f872b822 | 1368 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
1369 | ; |
1370 | } | |
1371 | ||
1372 | i = 0; | |
f872b822 MD |
1373 | ans = scm_mkbig (n_digits, n < 0); |
1374 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1375 | if (n < 0) |
1376 | n = -n; | |
f872b822 MD |
1377 | while (i < n_digits) |
1378 | { | |
1379 | digits[i++] = SCM_BIGLO (n); | |
1380 | n = SCM_BIGDN ((ulong_long) n); | |
1381 | } | |
0f2d19dd JB |
1382 | return ans; |
1383 | } | |
1384 | #endif | |
1385 | ||
1cc91f1b | 1386 | |
0f2d19dd | 1387 | SCM |
1bbd0b84 | 1388 | scm_2ulong2big (unsigned long *np) |
0f2d19dd JB |
1389 | { |
1390 | unsigned long n; | |
1391 | scm_sizet i; | |
1392 | SCM_BIGDIG *digits; | |
1393 | SCM ans; | |
1394 | ||
f872b822 MD |
1395 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1396 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1397 | |
1398 | n = np[0]; | |
1399 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1400 | { | |
f872b822 MD |
1401 | digits[i] = SCM_BIGLO (n); |
1402 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1403 | } |
1404 | n = np[1]; | |
1405 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1406 | { | |
f872b822 MD |
1407 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1408 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1409 | } |
1410 | return ans; | |
1411 | } | |
1412 | ||
1413 | ||
1cc91f1b | 1414 | |
0f2d19dd | 1415 | SCM |
1bbd0b84 | 1416 | scm_ulong2big (unsigned long n) |
0f2d19dd JB |
1417 | { |
1418 | scm_sizet i = 0; | |
1419 | SCM_BIGDIG *digits; | |
f872b822 MD |
1420 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1421 | digits = SCM_BDIGITS (ans); | |
1422 | while (i < SCM_DIGSPERLONG) | |
1423 | { | |
1424 | digits[i++] = SCM_BIGLO (n); | |
1425 | n = SCM_BIGDN (n); | |
1426 | } | |
0f2d19dd JB |
1427 | return ans; |
1428 | } | |
1429 | ||
1430 | ||
1cc91f1b | 1431 | |
0f2d19dd | 1432 | int |
1bbd0b84 | 1433 | scm_bigcomp (SCM x, SCM y) |
0f2d19dd | 1434 | { |
f872b822 MD |
1435 | int xsign = SCM_BIGSIGN (x); |
1436 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1437 | scm_sizet xlen, ylen; |
2bf746cc JB |
1438 | |
1439 | /* Look at the signs, first. */ | |
f872b822 MD |
1440 | if (ysign < xsign) |
1441 | return 1; | |
1442 | if (ysign > xsign) | |
1443 | return -1; | |
2bf746cc JB |
1444 | |
1445 | /* They're the same sign, so see which one has more digits. Note | |
1446 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1447 | ylen = SCM_NUMDIGS (y); |
1448 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1449 | if (ylen > xlen) |
1450 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1451 | if (ylen < xlen) |
1452 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1453 | |
1454 | /* They have the same number of digits, so find the most significant | |
1455 | digit where they differ. */ | |
1456 | while (xlen) | |
1457 | { | |
1458 | --xlen; | |
1459 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1460 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1461 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1462 | ? (xsign ? -1 : 1) | |
1463 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1464 | } |
1465 | ||
1466 | /* The numbers are identical. */ | |
1467 | return 0; | |
0f2d19dd JB |
1468 | } |
1469 | ||
1470 | #ifndef SCM_DIGSTOOBIG | |
1471 | ||
1cc91f1b | 1472 | |
0f2d19dd | 1473 | long |
1bbd0b84 | 1474 | scm_pseudolong (long x) |
0f2d19dd | 1475 | { |
f872b822 MD |
1476 | union |
1477 | { | |
0f2d19dd JB |
1478 | long l; |
1479 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1480 | } |
1481 | p; | |
0f2d19dd | 1482 | scm_sizet i = 0; |
f872b822 MD |
1483 | if (x < 0) |
1484 | x = -x; | |
1485 | while (i < SCM_DIGSPERLONG) | |
1486 | { | |
1487 | p.bd[i++] = SCM_BIGLO (x); | |
1488 | x = SCM_BIGDN (x); | |
1489 | } | |
0f2d19dd JB |
1490 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1491 | return p.l; | |
1492 | } | |
1493 | ||
1494 | #else | |
1495 | ||
1cc91f1b | 1496 | |
0f2d19dd | 1497 | void |
1bbd0b84 | 1498 | scm_longdigs (long x, SCM_BIGDIG digs[]) |
0f2d19dd JB |
1499 | { |
1500 | scm_sizet i = 0; | |
f872b822 MD |
1501 | if (x < 0) |
1502 | x = -x; | |
1503 | while (i < SCM_DIGSPERLONG) | |
1504 | { | |
1505 | digs[i++] = SCM_BIGLO (x); | |
1506 | x = SCM_BIGDN (x); | |
1507 | } | |
0f2d19dd JB |
1508 | } |
1509 | #endif | |
1510 | ||
1511 | ||
1cc91f1b | 1512 | |
0f2d19dd | 1513 | SCM |
1bbd0b84 | 1514 | scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) |
0f2d19dd JB |
1515 | { |
1516 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 1517 | /* Assumes xsgn and sgny scm_equal either 0 or SCM_BIGSIGNFLAG */ |
0f2d19dd | 1518 | long num = 0; |
f872b822 MD |
1519 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1520 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1521 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1522 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1523 | { | |
1524 | do | |
1525 | { | |
1526 | num += (long) zds[i] - x[i]; | |
1527 | if (num < 0) | |
1528 | { | |
1529 | zds[i] = num + SCM_BIGRAD; | |
1530 | num = -1; | |
1531 | } | |
1532 | else | |
1533 | { | |
1534 | zds[i] = SCM_BIGLO (num); | |
1535 | num = 0; | |
1536 | } | |
1537 | } | |
1538 | while (++i < nx); | |
1539 | if (num && nx == ny) | |
1540 | { | |
1541 | num = 1; | |
1542 | i = 0; | |
f3ae5d60 | 1543 | SCM_SETCAR (z, SCM_UNPACK_CAR (z) ^ SCM_BIGSIGNFLAG); |
f872b822 MD |
1544 | do |
1545 | { | |
1546 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1547 | zds[i++] = SCM_BIGLO (num); | |
1548 | num = SCM_BIGDN (num); | |
1549 | } | |
1550 | while (i < ny); | |
1551 | } | |
1552 | else | |
1553 | while (i < ny) | |
1554 | { | |
1555 | num += zds[i]; | |
1556 | if (num < 0) | |
1557 | { | |
1558 | zds[i++] = num + SCM_BIGRAD; | |
1559 | num = -1; | |
1560 | } | |
1561 | else | |
1562 | { | |
1563 | zds[i++] = SCM_BIGLO (num); | |
1564 | num = 0; | |
1565 | } | |
1566 | } | |
1567 | } | |
1568 | else | |
1569 | { | |
1570 | do | |
1571 | { | |
1572 | num += (long) zds[i] + x[i]; | |
1573 | zds[i++] = SCM_BIGLO (num); | |
1574 | num = SCM_BIGDN (num); | |
1575 | } | |
1576 | while (i < nx); | |
1577 | if (!num) | |
1578 | return z; | |
1579 | while (i < ny) | |
1580 | { | |
1581 | num += zds[i]; | |
1582 | zds[i++] = SCM_BIGLO (num); | |
1583 | num = SCM_BIGDN (num); | |
1584 | if (!num) | |
1585 | return z; | |
1586 | } | |
1587 | if (num) | |
1588 | { | |
1589 | z = scm_adjbig (z, ny + 1); | |
1590 | SCM_BDIGITS (z)[ny] = num; | |
1591 | return z; | |
1592 | } | |
1593 | } | |
1594 | return scm_normbig (z); | |
0f2d19dd JB |
1595 | } |
1596 | ||
1cc91f1b | 1597 | |
0f2d19dd | 1598 | SCM |
1bbd0b84 | 1599 | scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) |
0f2d19dd JB |
1600 | { |
1601 | scm_sizet i = 0, j = nx + ny; | |
1602 | unsigned long n = 0; | |
f872b822 MD |
1603 | SCM z = scm_mkbig (j, sgn); |
1604 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1605 | while (j--) | |
1606 | zds[j] = 0; | |
1607 | do | |
1608 | { | |
1609 | j = 0; | |
1610 | if (x[i]) | |
1611 | { | |
1612 | do | |
1613 | { | |
1614 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1615 | zds[i + j++] = SCM_BIGLO (n); | |
1616 | n = SCM_BIGDN (n); | |
1617 | } | |
1618 | while (j < ny); | |
1619 | if (n) | |
1620 | { | |
1621 | zds[i + j] = n; | |
1622 | n = 0; | |
1623 | } | |
1624 | } | |
0f2d19dd | 1625 | } |
f872b822 MD |
1626 | while (++i < nx); |
1627 | return scm_normbig (z); | |
0f2d19dd JB |
1628 | } |
1629 | ||
1cc91f1b | 1630 | |
805df3e8 JB |
1631 | /* Sun's compiler complains about the fact that this function has an |
1632 | ANSI prototype in numbers.h, but a K&R declaration here, and the | |
1633 | two specify different promotions for the third argument. I'm going | |
1634 | to turn this into an ANSI declaration, and see if anyone complains | |
1635 | about it not being K&R. */ | |
1636 | ||
0f2d19dd | 1637 | unsigned int |
f872b822 MD |
1638 | scm_divbigdig (SCM_BIGDIG * ds, |
1639 | scm_sizet h, | |
1640 | SCM_BIGDIG div) | |
0f2d19dd JB |
1641 | { |
1642 | register unsigned long t2 = 0; | |
f872b822 MD |
1643 | while (h--) |
1644 | { | |
1645 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1646 | ds[h] = t2 / div; | |
1647 | t2 %= div; | |
1648 | } | |
0f2d19dd JB |
1649 | return t2; |
1650 | } | |
1651 | ||
1652 | ||
1cc91f1b | 1653 | |
0f2d19dd | 1654 | SCM |
1bbd0b84 | 1655 | scm_divbigint (SCM x, long z, int sgn, int mode) |
0f2d19dd | 1656 | { |
f872b822 MD |
1657 | if (z < 0) |
1658 | z = -z; | |
1659 | if (z < SCM_BIGRAD) | |
1660 | { | |
1661 | register unsigned long t2 = 0; | |
1662 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1663 | scm_sizet nd = SCM_NUMDIGS (x); | |
1664 | while (nd--) | |
1665 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1666 | if (mode && t2) | |
1667 | t2 = z - t2; | |
1668 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1669 | } | |
0f2d19dd JB |
1670 | { |
1671 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1672 | unsigned long t2 = scm_pseudolong (z); |
1673 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1674 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1675 | sgn, mode); | |
0f2d19dd JB |
1676 | #else |
1677 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1678 | scm_longdigs (z, t2); |
1679 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1680 | t2, SCM_DIGSPERLONG, | |
1681 | sgn, mode); | |
0f2d19dd JB |
1682 | #endif |
1683 | } | |
1684 | } | |
1685 | ||
1cc91f1b | 1686 | |
0f2d19dd | 1687 | SCM |
1bbd0b84 | 1688 | scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) |
0f2d19dd JB |
1689 | { |
1690 | /* modes description | |
f872b822 MD |
1691 | 0 remainder |
1692 | 1 scm_modulo | |
1693 | 2 quotient | |
1694 | 3 quotient but returns 0 if division is not exact. */ | |
0f2d19dd JB |
1695 | scm_sizet i = 0, j = 0; |
1696 | long num = 0; | |
1697 | unsigned long t2 = 0; | |
1698 | SCM z, newy; | |
f872b822 | 1699 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1700 | /* algorithm requires nx >= ny */ |
1701 | if (nx < ny) | |
f872b822 MD |
1702 | switch (modes) |
1703 | { | |
1704 | case 0: /* remainder -- just return x */ | |
1705 | z = scm_mkbig (nx, sgn); | |
1706 | zds = SCM_BDIGITS (z); | |
1707 | do | |
1708 | { | |
1709 | zds[i] = x[i]; | |
1710 | } | |
1711 | while (++i < nx); | |
1712 | return z; | |
1713 | case 1: /* scm_modulo -- return y-x */ | |
1714 | z = scm_mkbig (ny, sgn); | |
1715 | zds = SCM_BDIGITS (z); | |
1716 | do | |
1717 | { | |
1718 | num += (long) y[i] - x[i]; | |
1719 | if (num < 0) | |
1720 | { | |
1721 | zds[i] = num + SCM_BIGRAD; | |
1722 | num = -1; | |
1723 | } | |
1724 | else | |
1725 | { | |
1726 | zds[i] = num; | |
1727 | num = 0; | |
1728 | } | |
1729 | } | |
1730 | while (++i < nx); | |
1731 | while (i < ny) | |
1732 | { | |
1733 | num += y[i]; | |
1734 | if (num < 0) | |
1735 | { | |
1736 | zds[i++] = num + SCM_BIGRAD; | |
1737 | num = -1; | |
1738 | } | |
1739 | else | |
1740 | { | |
1741 | zds[i++] = num; | |
1742 | num = 0; | |
1743 | } | |
1744 | } | |
1745 | goto doadj; | |
1746 | case 2: | |
1747 | return SCM_INUM0; /* quotient is zero */ | |
1748 | case 3: | |
1749 | return 0; /* the division is not exact */ | |
0f2d19dd | 1750 | } |
f872b822 MD |
1751 | |
1752 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1753 | zds = SCM_BDIGITS (z); | |
1754 | if (nx == ny) | |
1755 | zds[nx + 1] = 0; | |
1756 | while (!y[ny - 1]) | |
1757 | ny--; /* in case y came in as a psuedolong */ | |
1758 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1759 | { /* normalize operands */ | |
1760 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1761 | newy = scm_mkbig (ny, 0); | |
1762 | yds = SCM_BDIGITS (newy); | |
1763 | while (j < ny) | |
1764 | { | |
1765 | t2 += (unsigned long) y[j] * d; | |
1766 | yds[j++] = SCM_BIGLO (t2); | |
1767 | t2 = SCM_BIGDN (t2); | |
1768 | } | |
1769 | y = yds; | |
1770 | j = 0; | |
1771 | t2 = 0; | |
1772 | while (j < nx) | |
1773 | { | |
1774 | t2 += (unsigned long) x[j] * d; | |
1775 | zds[j++] = SCM_BIGLO (t2); | |
1776 | t2 = SCM_BIGDN (t2); | |
1777 | } | |
1778 | zds[j] = t2; | |
1779 | } | |
1780 | else | |
1781 | { | |
1782 | zds[j = nx] = 0; | |
1783 | while (j--) | |
1784 | zds[j] = x[j]; | |
1785 | } | |
1786 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1787 | do | |
1788 | { /* loop over digits of quotient */ | |
1789 | if (zds[j] == y[ny - 1]) | |
1790 | qhat = SCM_BIGRAD - 1; | |
1791 | else | |
1792 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1793 | if (!qhat) | |
1794 | continue; | |
1795 | i = 0; | |
1796 | num = 0; | |
1797 | t2 = 0; | |
1798 | do | |
1799 | { /* multiply and subtract */ | |
1800 | t2 += (unsigned long) y[i] * qhat; | |
1801 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1802 | if (num < 0) | |
1803 | { | |
1804 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1805 | num = -1; | |
1806 | } | |
1807 | else | |
1808 | { | |
1809 | zds[j - ny + i] = num; | |
1810 | num = 0; | |
1811 | } | |
1812 | t2 = SCM_BIGDN (t2); | |
1813 | } | |
1814 | while (++i < ny); | |
1815 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1816 | while (num) | |
1817 | { /* "add back" required */ | |
1818 | i = 0; | |
1819 | num = 0; | |
1820 | qhat--; | |
1821 | do | |
1822 | { | |
1823 | num += (long) zds[j - ny + i] + y[i]; | |
1824 | zds[j - ny + i] = SCM_BIGLO (num); | |
1825 | num = SCM_BIGDN (num); | |
1826 | } | |
1827 | while (++i < ny); | |
1828 | num--; | |
1829 | } | |
1830 | if (modes & 2) | |
1831 | zds[j] = qhat; | |
1832 | } | |
1833 | while (--j >= ny); | |
1834 | switch (modes) | |
1835 | { | |
1836 | case 3: /* check that remainder==0 */ | |
1837 | for (j = ny; j && !zds[j - 1]; --j); | |
1838 | if (j) | |
1839 | return 0; | |
1840 | case 2: /* move quotient down in z */ | |
1841 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1842 | for (i = 0; i < j; i++) | |
1843 | zds[i] = zds[i + ny]; | |
1844 | ny = i; | |
1845 | break; | |
1846 | case 1: /* subtract for scm_modulo */ | |
1847 | i = 0; | |
1848 | num = 0; | |
1849 | j = 0; | |
1850 | do | |
1851 | { | |
1852 | num += y[i] - zds[i]; | |
1853 | j = j | zds[i]; | |
1854 | if (num < 0) | |
1855 | { | |
1856 | zds[i] = num + SCM_BIGRAD; | |
1857 | num = -1; | |
1858 | } | |
1859 | else | |
1860 | { | |
1861 | zds[i] = num; | |
1862 | num = 0; | |
1863 | } | |
1864 | } | |
1865 | while (++i < ny); | |
1866 | if (!j) | |
1867 | return SCM_INUM0; | |
1868 | case 0: /* just normalize remainder */ | |
1869 | if (d) | |
1870 | scm_divbigdig (zds, ny, d); | |
1871 | } | |
0f2d19dd | 1872 | doadj: |
f872b822 MD |
1873 | for (j = ny; j && !zds[j - 1]; --j); |
1874 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1875 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
1876 | return z; | |
1877 | return scm_adjbig (z, j); | |
0f2d19dd JB |
1878 | } |
1879 | #endif | |
f872b822 | 1880 | \f |
0f2d19dd JB |
1881 | |
1882 | ||
1883 | ||
0f2d19dd JB |
1884 | |
1885 | /*** NUMBERS -> STRINGS ***/ | |
0f2d19dd | 1886 | int scm_dblprec; |
e4755e5c | 1887 | static const double fx[] = |
f872b822 MD |
1888 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, |
1889 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
1890 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
1891 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
1892 | |
1893 | ||
1894 | ||
1cc91f1b | 1895 | |
0f2d19dd | 1896 | static scm_sizet |
1bbd0b84 | 1897 | idbl2str (double f, char *a) |
0f2d19dd JB |
1898 | { |
1899 | int efmt, dpt, d, i, wp = scm_dblprec; | |
1900 | scm_sizet ch = 0; | |
1901 | int exp = 0; | |
1902 | ||
f872b822 MD |
1903 | if (f == 0.0) |
1904 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
1905 | if (f < 0.0) | |
1906 | { | |
1907 | f = -f; | |
1908 | a[ch++] = '-'; | |
1909 | } | |
1910 | else if (f > 0.0); | |
1911 | else | |
1912 | goto funny; | |
1913 | if (IS_INF (f)) | |
1914 | { | |
1915 | if (ch == 0) | |
1916 | a[ch++] = '+'; | |
1917 | funny: | |
1918 | a[ch++] = '#'; | |
1919 | a[ch++] = '.'; | |
1920 | a[ch++] = '#'; | |
1921 | return ch; | |
1922 | } | |
1923 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
1924 | make-uniform-vector, from causing infinite loops. */ | |
1925 | while (f < 1.0) | |
1926 | { | |
1927 | f *= 10.0; | |
1928 | if (exp-- < DBL_MIN_10_EXP) | |
1929 | goto funny; | |
1930 | } | |
1931 | while (f > 10.0) | |
1932 | { | |
1933 | f *= 0.10; | |
1934 | if (exp++ > DBL_MAX_10_EXP) | |
1935 | goto funny; | |
1936 | } | |
1937 | #else | |
1938 | while (f < 1.0) | |
1939 | { | |
1940 | f *= 10.0; | |
1941 | exp--; | |
1942 | } | |
1943 | while (f > 10.0) | |
1944 | { | |
1945 | f /= 10.0; | |
1946 | exp++; | |
1947 | } | |
1948 | #endif | |
1949 | if (f + fx[wp] >= 10.0) | |
1950 | { | |
1951 | f = 1.0; | |
1952 | exp++; | |
1953 | } | |
0f2d19dd | 1954 | zero: |
f872b822 MD |
1955 | #ifdef ENGNOT |
1956 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
1957 | exp -= dpt++; |
1958 | efmt = 1; | |
f872b822 MD |
1959 | #else |
1960 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 1961 | if (!efmt) |
cda139a7 MD |
1962 | { |
1963 | if (exp < 0) | |
1964 | { | |
1965 | a[ch++] = '0'; | |
1966 | a[ch++] = '.'; | |
1967 | dpt = exp; | |
f872b822 MD |
1968 | while (++dpt) |
1969 | a[ch++] = '0'; | |
cda139a7 MD |
1970 | } |
1971 | else | |
f872b822 | 1972 | dpt = exp + 1; |
cda139a7 | 1973 | } |
0f2d19dd JB |
1974 | else |
1975 | dpt = 1; | |
f872b822 MD |
1976 | #endif |
1977 | ||
1978 | do | |
1979 | { | |
1980 | d = f; | |
1981 | f -= d; | |
1982 | a[ch++] = d + '0'; | |
1983 | if (f < fx[wp]) | |
1984 | break; | |
1985 | if (f + fx[wp] >= 1.0) | |
1986 | { | |
1987 | a[ch - 1]++; | |
1988 | break; | |
1989 | } | |
1990 | f *= 10.0; | |
1991 | if (!(--dpt)) | |
1992 | a[ch++] = '.'; | |
0f2d19dd | 1993 | } |
f872b822 | 1994 | while (wp--); |
0f2d19dd JB |
1995 | |
1996 | if (dpt > 0) | |
cda139a7 | 1997 | { |
f872b822 | 1998 | #ifndef ENGNOT |
cda139a7 MD |
1999 | if ((dpt > 4) && (exp > 6)) |
2000 | { | |
f872b822 | 2001 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 2002 | for (i = ch++; i > d; i--) |
f872b822 | 2003 | a[i] = a[i - 1]; |
cda139a7 MD |
2004 | a[d] = '.'; |
2005 | efmt = 1; | |
2006 | } | |
2007 | else | |
f872b822 | 2008 | #endif |
cda139a7 | 2009 | { |
f872b822 MD |
2010 | while (--dpt) |
2011 | a[ch++] = '0'; | |
cda139a7 MD |
2012 | a[ch++] = '.'; |
2013 | } | |
2014 | } | |
f872b822 MD |
2015 | if (a[ch - 1] == '.') |
2016 | a[ch++] = '0'; /* trailing zero */ | |
2017 | if (efmt && exp) | |
2018 | { | |
2019 | a[ch++] = 'e'; | |
2020 | if (exp < 0) | |
2021 | { | |
2022 | exp = -exp; | |
2023 | a[ch++] = '-'; | |
2024 | } | |
2025 | for (i = 10; i <= exp; i *= 10); | |
2026 | for (i /= 10; i; i /= 10) | |
2027 | { | |
2028 | a[ch++] = exp / i + '0'; | |
2029 | exp %= i; | |
2030 | } | |
0f2d19dd | 2031 | } |
0f2d19dd JB |
2032 | return ch; |
2033 | } | |
2034 | ||
1cc91f1b | 2035 | |
0f2d19dd | 2036 | static scm_sizet |
1bbd0b84 | 2037 | iflo2str (SCM flt, char *str) |
0f2d19dd JB |
2038 | { |
2039 | scm_sizet i; | |
f3ae5d60 MD |
2040 | if (SCM_SLOPPY_REALP (flt)) |
2041 | i = idbl2str (SCM_REAL_VALUE (flt), str); | |
0f2d19dd | 2042 | else |
f872b822 | 2043 | { |
f3ae5d60 MD |
2044 | i = idbl2str (SCM_COMPLEX_REAL (flt), str); |
2045 | if (SCM_COMPLEX_IMAG (flt) != 0.0) | |
2046 | { | |
2047 | if (0 <= SCM_COMPLEX_IMAG (flt)) | |
2048 | str[i++] = '+'; | |
2049 | i += idbl2str (SCM_COMPLEX_IMAG (flt), &str[i]); | |
2050 | str[i++] = 'i'; | |
2051 | } | |
f872b822 | 2052 | } |
0f2d19dd JB |
2053 | return i; |
2054 | } | |
0f2d19dd | 2055 | |
5c11cc9d | 2056 | /* convert a long to a string (unterminated). returns the number of |
1bbd0b84 GB |
2057 | characters in the result. |
2058 | rad is output base | |
2059 | p is destination: worst case (base 2) is SCM_INTBUFLEN */ | |
0f2d19dd | 2060 | scm_sizet |
1bbd0b84 | 2061 | scm_iint2str (long num, int rad, char *p) |
0f2d19dd | 2062 | { |
5c11cc9d GH |
2063 | scm_sizet j = 1; |
2064 | scm_sizet i; | |
2065 | unsigned long n = (num < 0) ? -num : num; | |
2066 | ||
f872b822 | 2067 | for (n /= rad; n > 0; n /= rad) |
5c11cc9d GH |
2068 | j++; |
2069 | ||
2070 | i = j; | |
2071 | if (num < 0) | |
f872b822 | 2072 | { |
f872b822 | 2073 | *p++ = '-'; |
5c11cc9d GH |
2074 | j++; |
2075 | n = -num; | |
f872b822 | 2076 | } |
5c11cc9d GH |
2077 | else |
2078 | n = num; | |
f872b822 MD |
2079 | while (i--) |
2080 | { | |
5c11cc9d GH |
2081 | int d = n % rad; |
2082 | ||
f872b822 MD |
2083 | n /= rad; |
2084 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
2085 | } | |
0f2d19dd JB |
2086 | return j; |
2087 | } | |
2088 | ||
2089 | ||
2090 | #ifdef SCM_BIGDIG | |
1cc91f1b | 2091 | |
0f2d19dd | 2092 | static SCM |
1bbd0b84 | 2093 | big2str (SCM b, unsigned int radix) |
0f2d19dd | 2094 | { |
f872b822 MD |
2095 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
2096 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
2097 | scm_sizet i = SCM_NUMDIGS (t); | |
2098 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
2099 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
2100 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
2101 | scm_sizet k = 0; |
2102 | scm_sizet radct = 0; | |
2103 | scm_sizet ch; /* jeh */ | |
2104 | SCM_BIGDIG radpow = 1, radmod = 0; | |
f872b822 MD |
2105 | SCM ss = scm_makstr ((long) j, 0); |
2106 | char *s = SCM_CHARS (ss), c; | |
2107 | while ((long) radpow * radix < SCM_BIGRAD) | |
2108 | { | |
2109 | radpow *= radix; | |
2110 | radct++; | |
2111 | } | |
f3ae5d60 | 2112 | s[0] = SCM_BIGSIGN (b) ? '-' : '+'; |
f872b822 MD |
2113 | while ((i || radmod) && j) |
2114 | { | |
2115 | if (k == 0) | |
2116 | { | |
2117 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
2118 | k = radct; | |
2119 | if (!ds[i - 1]) | |
2120 | i--; | |
2121 | } | |
2122 | c = radmod % radix; | |
2123 | radmod /= radix; | |
2124 | k--; | |
2125 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
2126 | } | |
0f2d19dd | 2127 | ch = s[0] == '-' ? 1 : 0; /* jeh */ |
f872b822 MD |
2128 | if (ch < j) |
2129 | { /* jeh */ | |
2130 | for (i = j; j < SCM_LENGTH (ss); j++) | |
2131 | s[ch + j - i] = s[j]; /* jeh */ | |
2132 | scm_vector_set_length_x (ss, /* jeh */ | |
2133 | (SCM) SCM_MAKINUM (ch + SCM_LENGTH (ss) - i)); | |
2134 | } | |
b098016b JB |
2135 | |
2136 | return scm_return_first (ss, t); | |
0f2d19dd JB |
2137 | } |
2138 | #endif | |
2139 | ||
2140 | ||
a1ec6916 | 2141 | SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0, |
1bbd0b84 | 2142 | (SCM x, SCM radix), |
b380b885 | 2143 | "") |
1bbd0b84 | 2144 | #define FUNC_NAME s_scm_number_to_string |
0f2d19dd | 2145 | { |
1bbd0b84 | 2146 | int base; |
3b3b36dd | 2147 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); |
f872b822 MD |
2148 | if (SCM_NINUMP (x)) |
2149 | { | |
2150 | char num_buf[SCM_FLOBUFLEN]; | |
2151 | #ifdef SCM_BIGDIG | |
2152 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
2153 | if (SCM_BIGP (x)) | |
1bbd0b84 | 2154 | return big2str (x, (unsigned int) base); |
f872b822 | 2155 | #ifndef SCM_RECKLESS |
f3ae5d60 | 2156 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 MD |
2157 | { |
2158 | badx: | |
4638e087 | 2159 | SCM_WTA (1, x); |
f872b822 MD |
2160 | } |
2161 | #endif | |
0f2d19dd | 2162 | #else |
f3ae5d60 | 2163 | SCM_ASSERT (SCM_SLOPPY_INEXACTP (x), |
f872b822 | 2164 | x, SCM_ARG1, s_number_to_string); |
0f2d19dd | 2165 | #endif |
f872b822 MD |
2166 | return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0); |
2167 | } | |
f872b822 MD |
2168 | { |
2169 | char num_buf[SCM_INTBUFLEN]; | |
2170 | return scm_makfromstr (num_buf, | |
2171 | scm_iint2str (SCM_INUM (x), | |
1bbd0b84 | 2172 | base, |
f872b822 MD |
2173 | num_buf), |
2174 | 0); | |
0f2d19dd JB |
2175 | } |
2176 | } | |
1bbd0b84 | 2177 | #undef FUNC_NAME |
0f2d19dd JB |
2178 | |
2179 | ||
2180 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
f3ae5d60 | 2181 | SCM_BIGDIG conditionals */ |
1cc91f1b | 2182 | |
0f2d19dd | 2183 | int |
f3ae5d60 | 2184 | scm_print_real (SCM sexp, SCM port, scm_print_state *pstate) |
0f2d19dd | 2185 | { |
0f2d19dd | 2186 | char num_buf[SCM_FLOBUFLEN]; |
f872b822 | 2187 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd JB |
2188 | return !0; |
2189 | } | |
2190 | ||
f3ae5d60 MD |
2191 | int |
2192 | scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate) | |
2193 | { | |
2194 | char num_buf[SCM_FLOBUFLEN]; | |
2195 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); | |
2196 | return !0; | |
2197 | } | |
1cc91f1b | 2198 | |
0f2d19dd | 2199 | int |
1bbd0b84 | 2200 | scm_bigprint (SCM exp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2201 | { |
2202 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2203 | exp = big2str (exp, (unsigned int) 10); |
2204 | scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port); | |
0f2d19dd | 2205 | #else |
f872b822 | 2206 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
2207 | #endif |
2208 | return !0; | |
2209 | } | |
2210 | /*** END nums->strs ***/ | |
2211 | ||
2212 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee JB |
2213 | |
2214 | static SCM | |
1bbd0b84 | 2215 | scm_small_istr2int (char *str, long len, long radix) |
2a8fecee JB |
2216 | { |
2217 | register long n = 0, ln; | |
2218 | register int c; | |
2219 | register int i = 0; | |
2220 | int lead_neg = 0; | |
f872b822 MD |
2221 | if (0 >= len) |
2222 | return SCM_BOOL_F; /* zero scm_length */ | |
2223 | switch (*str) | |
2224 | { /* leading sign */ | |
2225 | case '-': | |
2226 | lead_neg = 1; | |
2227 | case '+': | |
2228 | if (++i == len) | |
2229 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2230 | } | |
2a8fecee | 2231 | |
f872b822 MD |
2232 | do |
2233 | { | |
2234 | switch (c = str[i++]) | |
2235 | { | |
2236 | case DIGITS: | |
2237 | c = c - '0'; | |
2238 | goto accumulate; | |
2239 | case 'A': | |
2240 | case 'B': | |
2241 | case 'C': | |
2242 | case 'D': | |
2243 | case 'E': | |
2244 | case 'F': | |
2245 | c = c - 'A' + 10; | |
2246 | goto accumulate; | |
2247 | case 'a': | |
2248 | case 'b': | |
2249 | case 'c': | |
2250 | case 'd': | |
2251 | case 'e': | |
2252 | case 'f': | |
2253 | c = c - 'a' + 10; | |
2254 | accumulate: | |
2255 | if (c >= radix) | |
2256 | return SCM_BOOL_F; /* bad digit for radix */ | |
2257 | ln = n; | |
2258 | n = n * radix - c; | |
2259 | /* Negation is a workaround for HP700 cc bug */ | |
2260 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
2261 | goto ovfl; | |
2262 | break; | |
2263 | default: | |
2264 | return SCM_BOOL_F; /* not a digit */ | |
2265 | } | |
2a8fecee | 2266 | } |
f872b822 MD |
2267 | while (i < len); |
2268 | if (!lead_neg) | |
2269 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
2270 | goto ovfl; | |
2271 | return SCM_MAKINUM (n); | |
2a8fecee JB |
2272 | ovfl: /* overflow scheme integer */ |
2273 | return SCM_BOOL_F; | |
2274 | } | |
2275 | ||
2276 | ||
1cc91f1b | 2277 | |
0f2d19dd | 2278 | SCM |
1bbd0b84 | 2279 | scm_istr2int (char *str, long len, long radix) |
0f2d19dd JB |
2280 | { |
2281 | scm_sizet j; | |
2282 | register scm_sizet k, blen = 1; | |
2283 | scm_sizet i = 0; | |
2284 | int c; | |
2285 | SCM res; | |
2286 | register SCM_BIGDIG *ds; | |
2287 | register unsigned long t2; | |
2288 | ||
f872b822 MD |
2289 | if (0 >= len) |
2290 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
2291 | |
2292 | /* Short numbers we parse directly into an int, to avoid the overhead | |
2293 | of creating a bignum. */ | |
2294 | if (len < 6) | |
2295 | return scm_small_istr2int (str, len, radix); | |
2296 | ||
f872b822 MD |
2297 | if (16 == radix) |
2298 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 2299 | else if (10 <= radix) |
f872b822 MD |
2300 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
2301 | else | |
2302 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
2303 | switch (str[0]) | |
2304 | { /* leading sign */ | |
2305 | case '-': | |
2306 | case '+': | |
2307 | if (++i == (unsigned) len) | |
2308 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2309 | } | |
2310 | res = scm_mkbig (j, '-' == str[0]); | |
2311 | ds = SCM_BDIGITS (res); | |
2312 | for (k = j; k--;) | |
2313 | ds[k] = 0; | |
2314 | do | |
2315 | { | |
2316 | switch (c = str[i++]) | |
2317 | { | |
2318 | case DIGITS: | |
2319 | c = c - '0'; | |
2320 | goto accumulate; | |
2321 | case 'A': | |
2322 | case 'B': | |
2323 | case 'C': | |
2324 | case 'D': | |
2325 | case 'E': | |
2326 | case 'F': | |
2327 | c = c - 'A' + 10; | |
2328 | goto accumulate; | |
2329 | case 'a': | |
2330 | case 'b': | |
2331 | case 'c': | |
2332 | case 'd': | |
2333 | case 'e': | |
2334 | case 'f': | |
2335 | c = c - 'a' + 10; | |
2336 | accumulate: | |
2337 | if (c >= radix) | |
2338 | return SCM_BOOL_F; /* bad digit for radix */ | |
2339 | k = 0; | |
2340 | t2 = c; | |
2341 | moretodo: | |
2342 | while (k < blen) | |
2343 | { | |
2344 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2345 | t2 += ds[k] * radix; | |
2346 | ds[k++] = SCM_BIGLO (t2); | |
2347 | t2 = SCM_BIGDN (t2); | |
2348 | } | |
2349 | if (blen > j) | |
2350 | scm_num_overflow ("bignum"); | |
2351 | if (t2) | |
2352 | { | |
2353 | blen++; | |
2354 | goto moretodo; | |
2355 | } | |
2356 | break; | |
2357 | default: | |
2358 | return SCM_BOOL_F; /* not a digit */ | |
2359 | } | |
0f2d19dd | 2360 | } |
f872b822 MD |
2361 | while (i < (unsigned) len); |
2362 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2363 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2364 | return res; | |
2365 | if (j == blen) | |
2366 | return res; | |
2367 | return scm_adjbig (res, blen); | |
0f2d19dd | 2368 | } |
0f2d19dd | 2369 | |
0f2d19dd | 2370 | SCM |
1bbd0b84 | 2371 | scm_istr2flo (char *str, long len, long radix) |
0f2d19dd JB |
2372 | { |
2373 | register int c, i = 0; | |
2374 | double lead_sgn; | |
2375 | double res = 0.0, tmp = 0.0; | |
2376 | int flg = 0; | |
2377 | int point = 0; | |
2378 | SCM second; | |
2379 | ||
f872b822 MD |
2380 | if (i >= len) |
2381 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2382 | |
f872b822 MD |
2383 | switch (*str) |
2384 | { /* leading sign */ | |
2385 | case '-': | |
2386 | lead_sgn = -1.0; | |
2387 | i++; | |
2388 | break; | |
2389 | case '+': | |
2390 | lead_sgn = 1.0; | |
2391 | i++; | |
0f2d19dd JB |
2392 | break; |
2393 | default: | |
f872b822 | 2394 | lead_sgn = 0.0; |
0f2d19dd | 2395 | } |
f872b822 MD |
2396 | if (i == len) |
2397 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2398 | ||
2399 | if (str[i] == 'i' || str[i] == 'I') | |
2400 | { /* handle `+i' and `-i' */ | |
2401 | if (lead_sgn == 0.0) | |
2402 | return SCM_BOOL_F; /* must have leading sign */ | |
2403 | if (++i < len) | |
2404 | return SCM_BOOL_F; /* `i' not last character */ | |
2405 | return scm_makdbl (0.0, lead_sgn); | |
2406 | } | |
2407 | do | |
2408 | { /* check initial digits */ | |
2409 | switch (c = str[i]) | |
2410 | { | |
2411 | case DIGITS: | |
2412 | c = c - '0'; | |
2413 | goto accum1; | |
2414 | case 'D': | |
2415 | case 'E': | |
2416 | case 'F': | |
2417 | if (radix == 10) | |
2418 | goto out1; /* must be exponent */ | |
2419 | case 'A': | |
2420 | case 'B': | |
2421 | case 'C': | |
2422 | c = c - 'A' + 10; | |
2423 | goto accum1; | |
2424 | case 'd': | |
2425 | case 'e': | |
2426 | case 'f': | |
2427 | if (radix == 10) | |
2428 | goto out1; | |
2429 | case 'a': | |
2430 | case 'b': | |
2431 | case 'c': | |
2432 | c = c - 'a' + 10; | |
2433 | accum1: | |
2434 | if (c >= radix) | |
2435 | return SCM_BOOL_F; /* bad digit for radix */ | |
2436 | res = res * radix + c; | |
2437 | flg = 1; /* res is valid */ | |
2438 | break; | |
2439 | default: | |
2440 | goto out1; | |
2441 | } | |
2442 | } | |
2443 | while (++i < len); | |
0f2d19dd JB |
2444 | out1: |
2445 | ||
2446 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2447 | if (i == len) |
2448 | goto done; | |
0f2d19dd JB |
2449 | |
2450 | /* By here, must have seen a digit, | |
2451 | or must have next char be a `.' with radix==10 */ | |
2452 | if (!flg) | |
f872b822 | 2453 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2454 | return SCM_BOOL_F; |
2455 | ||
f872b822 MD |
2456 | while (str[i] == '#') |
2457 | { /* optional sharps */ | |
2458 | res *= radix; | |
2459 | if (++i == len) | |
2460 | goto done; | |
0f2d19dd | 2461 | } |
0f2d19dd | 2462 | |
f872b822 MD |
2463 | if (str[i] == '/') |
2464 | { | |
2465 | while (++i < len) | |
2466 | { | |
2467 | switch (c = str[i]) | |
2468 | { | |
2469 | case DIGITS: | |
2470 | c = c - '0'; | |
2471 | goto accum2; | |
2472 | case 'A': | |
2473 | case 'B': | |
2474 | case 'C': | |
2475 | case 'D': | |
2476 | case 'E': | |
2477 | case 'F': | |
2478 | c = c - 'A' + 10; | |
2479 | goto accum2; | |
2480 | case 'a': | |
2481 | case 'b': | |
2482 | case 'c': | |
2483 | case 'd': | |
2484 | case 'e': | |
2485 | case 'f': | |
2486 | c = c - 'a' + 10; | |
2487 | accum2: | |
2488 | if (c >= radix) | |
2489 | return SCM_BOOL_F; | |
2490 | tmp = tmp * radix + c; | |
2491 | break; | |
2492 | default: | |
2493 | goto out2; | |
2494 | } | |
2495 | } | |
2496 | out2: | |
2497 | if (tmp == 0.0) | |
2498 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2499 | if (i < len) | |
2500 | while (str[i] == '#') | |
2501 | { /* optional sharps */ | |
2502 | tmp *= radix; | |
2503 | if (++i == len) | |
2504 | break; | |
2505 | } | |
2506 | res /= tmp; | |
2507 | goto done; | |
0f2d19dd | 2508 | } |
f872b822 MD |
2509 | |
2510 | if (str[i] == '.') | |
2511 | { /* decimal point notation */ | |
2512 | if (radix != 10) | |
2513 | return SCM_BOOL_F; /* must be radix 10 */ | |
2514 | while (++i < len) | |
2515 | { | |
2516 | switch (c = str[i]) | |
2517 | { | |
2518 | case DIGITS: | |
2519 | point--; | |
2520 | res = res * 10.0 + c - '0'; | |
2521 | flg = 1; | |
2522 | break; | |
2523 | default: | |
2524 | goto out3; | |
2525 | } | |
2526 | } | |
2527 | out3: | |
2528 | if (!flg) | |
2529 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2530 | if (i == len) | |
2531 | goto adjust; | |
2532 | while (str[i] == '#') | |
2533 | { /* ignore remaining sharps */ | |
2534 | if (++i == len) | |
2535 | goto adjust; | |
2536 | } | |
0f2d19dd | 2537 | } |
0f2d19dd | 2538 | |
f872b822 MD |
2539 | switch (str[i]) |
2540 | { /* exponent */ | |
2541 | case 'd': | |
2542 | case 'D': | |
2543 | case 'e': | |
2544 | case 'E': | |
2545 | case 'f': | |
2546 | case 'F': | |
2547 | case 'l': | |
2548 | case 'L': | |
2549 | case 's': | |
2550 | case 'S': | |
2551 | { | |
2552 | int expsgn = 1, expon = 0; | |
2553 | if (radix != 10) | |
2554 | return SCM_BOOL_F; /* only in radix 10 */ | |
2555 | if (++i == len) | |
2556 | return SCM_BOOL_F; /* bad exponent */ | |
2557 | switch (str[i]) | |
2558 | { | |
2559 | case '-': | |
2560 | expsgn = (-1); | |
2561 | case '+': | |
2562 | if (++i == len) | |
2563 | return SCM_BOOL_F; /* bad exponent */ | |
2564 | } | |
2565 | if (str[i] < '0' || str[i] > '9') | |
2566 | return SCM_BOOL_F; /* bad exponent */ | |
2567 | do | |
2568 | { | |
2569 | switch (c = str[i]) | |
2570 | { | |
2571 | case DIGITS: | |
2572 | expon = expon * 10 + c - '0'; | |
f3ae5d60 | 2573 | if (expon > SCM_MAXEXP) |
f872b822 MD |
2574 | return SCM_BOOL_F; /* exponent too large */ |
2575 | break; | |
2576 | default: | |
2577 | goto out4; | |
2578 | } | |
2579 | } | |
2580 | while (++i < len); | |
2581 | out4: | |
2582 | point += expsgn * expon; | |
0f2d19dd | 2583 | } |
f872b822 | 2584 | } |
0f2d19dd JB |
2585 | |
2586 | adjust: | |
2587 | if (point >= 0) | |
f872b822 MD |
2588 | while (point--) |
2589 | res *= 10.0; | |
0f2d19dd | 2590 | else |
f872b822 MD |
2591 | #ifdef _UNICOS |
2592 | while (point++) | |
2593 | res *= 0.1; | |
2594 | #else | |
2595 | while (point++) | |
2596 | res /= 10.0; | |
2597 | #endif | |
0f2d19dd JB |
2598 | |
2599 | done: | |
2600 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2601 | if (lead_sgn == -1.0) |
2602 | res = -res; | |
2603 | if (i == len) | |
2604 | return scm_makdbl (res, 0.0); | |
2605 | ||
2606 | if (str[i] == 'i' || str[i] == 'I') | |
2607 | { /* pure imaginary number */ | |
2608 | if (lead_sgn == 0.0) | |
2609 | return SCM_BOOL_F; /* must have leading sign */ | |
2610 | if (++i < len) | |
2611 | return SCM_BOOL_F; /* `i' not last character */ | |
2612 | return scm_makdbl (0.0, res); | |
2613 | } | |
0f2d19dd | 2614 | |
f872b822 MD |
2615 | switch (str[i++]) |
2616 | { | |
2617 | case '-': | |
2618 | lead_sgn = -1.0; | |
2619 | break; | |
2620 | case '+': | |
2621 | lead_sgn = 1.0; | |
2622 | break; | |
2623 | case '@': | |
2624 | { /* polar input for complex number */ | |
2625 | /* get a `real' for scm_angle */ | |
2626 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
f3ae5d60 | 2627 | if (!SCM_SLOPPY_INEXACTP (second)) |
f872b822 | 2628 | return SCM_BOOL_F; /* not `real' */ |
f3ae5d60 | 2629 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2630 | return SCM_BOOL_F; /* not `real' */ |
2631 | tmp = SCM_REALPART (second); | |
2632 | return scm_makdbl (res * cos (tmp), res * sin (tmp)); | |
2633 | } | |
2634 | default: | |
2635 | return SCM_BOOL_F; | |
2636 | } | |
0f2d19dd JB |
2637 | |
2638 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2639 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2640 | return SCM_BOOL_F; | |
0f2d19dd | 2641 | /* handles `x+i' and `x-i' */ |
f872b822 MD |
2642 | if (i == (len - 1)) |
2643 | return scm_makdbl (res, lead_sgn); | |
0f2d19dd | 2644 | /* get a `ureal' for complex part */ |
f872b822 | 2645 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
f3ae5d60 | 2646 | if (!SCM_INEXACTP (second)) |
f872b822 | 2647 | return SCM_BOOL_F; /* not `ureal' */ |
f3ae5d60 | 2648 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2649 | return SCM_BOOL_F; /* not `ureal' */ |
2650 | tmp = SCM_REALPART (second); | |
2651 | if (tmp < 0.0) | |
2652 | return SCM_BOOL_F; /* not `ureal' */ | |
2653 | return scm_makdbl (res, (lead_sgn * tmp)); | |
0f2d19dd | 2654 | } |
0f2d19dd JB |
2655 | |
2656 | ||
1cc91f1b | 2657 | |
0f2d19dd | 2658 | SCM |
1bbd0b84 | 2659 | scm_istring2number (char *str, long len, long radix) |
0f2d19dd JB |
2660 | { |
2661 | int i = 0; | |
2662 | char ex = 0; | |
2663 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2664 | SCM res; | |
f872b822 MD |
2665 | if (len == 1) |
2666 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2667 | return SCM_BOOL_F; |
2668 | ||
f872b822 MD |
2669 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2670 | switch (str[i++]) | |
2671 | { | |
2672 | case 'b': | |
2673 | case 'B': | |
2674 | if (rx_p++) | |
2675 | return SCM_BOOL_F; | |
2676 | radix = 2; | |
2677 | break; | |
2678 | case 'o': | |
2679 | case 'O': | |
2680 | if (rx_p++) | |
2681 | return SCM_BOOL_F; | |
2682 | radix = 8; | |
2683 | break; | |
2684 | case 'd': | |
2685 | case 'D': | |
2686 | if (rx_p++) | |
2687 | return SCM_BOOL_F; | |
2688 | radix = 10; | |
2689 | break; | |
2690 | case 'x': | |
2691 | case 'X': | |
2692 | if (rx_p++) | |
2693 | return SCM_BOOL_F; | |
2694 | radix = 16; | |
2695 | break; | |
2696 | case 'i': | |
2697 | case 'I': | |
2698 | if (ex_p++) | |
2699 | return SCM_BOOL_F; | |
2700 | ex = 2; | |
2701 | break; | |
2702 | case 'e': | |
2703 | case 'E': | |
2704 | if (ex_p++) | |
2705 | return SCM_BOOL_F; | |
2706 | ex = 1; | |
2707 | break; | |
2708 | default: | |
2709 | return SCM_BOOL_F; | |
2710 | } | |
2711 | ||
2712 | switch (ex) | |
2713 | { | |
2714 | case 1: | |
2715 | return scm_istr2int (&str[i], len - i, radix); | |
2716 | case 0: | |
2717 | res = scm_istr2int (&str[i], len - i, radix); | |
2718 | if (SCM_NFALSEP (res)) | |
2719 | return res; | |
f872b822 MD |
2720 | case 2: |
2721 | return scm_istr2flo (&str[i], len - i, radix); | |
f872b822 | 2722 | } |
0f2d19dd JB |
2723 | return SCM_BOOL_F; |
2724 | } | |
2725 | ||
2726 | ||
a1ec6916 | 2727 | SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0, |
1bbd0b84 | 2728 | (SCM str, SCM radix), |
b380b885 | 2729 | "") |
1bbd0b84 | 2730 | #define FUNC_NAME s_scm_string_to_number |
0f2d19dd JB |
2731 | { |
2732 | SCM answer; | |
1bbd0b84 | 2733 | int base; |
3b3b36dd GB |
2734 | SCM_VALIDATE_ROSTRING (1,str); |
2735 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); | |
f872b822 MD |
2736 | answer = scm_istring2number (SCM_ROCHARS (str), |
2737 | SCM_ROLENGTH (str), | |
1bbd0b84 | 2738 | base); |
0f2d19dd JB |
2739 | return scm_return_first (answer, str); |
2740 | } | |
1bbd0b84 | 2741 | #undef FUNC_NAME |
0f2d19dd JB |
2742 | /*** END strs->nums ***/ |
2743 | ||
0f2d19dd | 2744 | SCM |
f3ae5d60 | 2745 | scm_make_real (double x) |
0f2d19dd JB |
2746 | { |
2747 | SCM z; | |
f3ae5d60 | 2748 | SCM_NEWREAL (z, x); |
0f2d19dd JB |
2749 | return z; |
2750 | } | |
0f2d19dd | 2751 | |
f3ae5d60 MD |
2752 | SCM |
2753 | scm_make_complex (double x, double y) | |
2754 | { | |
2755 | SCM z; | |
2756 | SCM_NEWCOMPLEX (z, x, y); | |
2757 | return z; | |
2758 | } | |
1cc91f1b | 2759 | |
0f2d19dd | 2760 | SCM |
1bbd0b84 | 2761 | scm_bigequal (SCM x, SCM y) |
0f2d19dd JB |
2762 | { |
2763 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2764 | if (0 == scm_bigcomp (x, y)) |
2765 | return SCM_BOOL_T; | |
0f2d19dd JB |
2766 | #endif |
2767 | return SCM_BOOL_F; | |
2768 | } | |
2769 | ||
0f2d19dd | 2770 | SCM |
f3ae5d60 | 2771 | scm_real_equalp (SCM x, SCM y) |
0f2d19dd | 2772 | { |
f3ae5d60 | 2773 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); |
0f2d19dd JB |
2774 | } |
2775 | ||
f3ae5d60 MD |
2776 | SCM |
2777 | scm_complex_equalp (SCM x, SCM y) | |
2778 | { | |
2779 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2780 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2781 | } | |
0f2d19dd JB |
2782 | |
2783 | ||
2784 | ||
1bbd0b84 | 2785 | SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
1cc91f1b | 2786 | |
a1ec6916 | 2787 | SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0, |
1bbd0b84 | 2788 | (SCM x), |
b380b885 | 2789 | "") |
1bbd0b84 | 2790 | #define FUNC_NAME s_scm_number_p |
0f2d19dd | 2791 | { |
f872b822 MD |
2792 | if (SCM_INUMP (x)) |
2793 | return SCM_BOOL_T; | |
0c95b57d | 2794 | if (SCM_NUMP (x)) |
f872b822 | 2795 | return SCM_BOOL_T; |
0f2d19dd JB |
2796 | return SCM_BOOL_F; |
2797 | } | |
1bbd0b84 | 2798 | #undef FUNC_NAME |
0f2d19dd JB |
2799 | |
2800 | ||
2801 | ||
1bbd0b84 | 2802 | SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
1cc91f1b | 2803 | |
1bbd0b84 | 2804 | |
a1ec6916 | 2805 | SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0, |
1bbd0b84 | 2806 | (SCM x), |
b380b885 | 2807 | "") |
1bbd0b84 | 2808 | #define FUNC_NAME s_scm_real_p |
0f2d19dd | 2809 | { |
f872b822 | 2810 | if (SCM_INUMP (x)) |
0f2d19dd | 2811 | return SCM_BOOL_T; |
f872b822 | 2812 | if (SCM_IMP (x)) |
0f2d19dd | 2813 | return SCM_BOOL_F; |
f3ae5d60 | 2814 | if (SCM_SLOPPY_REALP (x)) |
0f2d19dd | 2815 | return SCM_BOOL_T; |
f872b822 MD |
2816 | #ifdef SCM_BIGDIG |
2817 | if (SCM_BIGP (x)) | |
0f2d19dd | 2818 | return SCM_BOOL_T; |
f872b822 | 2819 | #endif |
0f2d19dd JB |
2820 | return SCM_BOOL_F; |
2821 | } | |
1bbd0b84 | 2822 | #undef FUNC_NAME |
0f2d19dd JB |
2823 | |
2824 | ||
2825 | ||
a1ec6916 | 2826 | SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0, |
1bbd0b84 | 2827 | (SCM x), |
b380b885 | 2828 | "") |
1bbd0b84 | 2829 | #define FUNC_NAME s_scm_integer_p |
0f2d19dd JB |
2830 | { |
2831 | double r; | |
f872b822 MD |
2832 | if (SCM_INUMP (x)) |
2833 | return SCM_BOOL_T; | |
2834 | if (SCM_IMP (x)) | |
2835 | return SCM_BOOL_F; | |
2836 | #ifdef SCM_BIGDIG | |
2837 | if (SCM_BIGP (x)) | |
2838 | return SCM_BOOL_T; | |
2839 | #endif | |
f3ae5d60 | 2840 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 | 2841 | return SCM_BOOL_F; |
f3ae5d60 | 2842 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 MD |
2843 | return SCM_BOOL_F; |
2844 | r = SCM_REALPART (x); | |
2845 | if (r == floor (r)) | |
2846 | return SCM_BOOL_T; | |
0f2d19dd JB |
2847 | return SCM_BOOL_F; |
2848 | } | |
1bbd0b84 | 2849 | #undef FUNC_NAME |
0f2d19dd JB |
2850 | |
2851 | ||
2852 | ||
a1ec6916 | 2853 | SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0, |
1bbd0b84 | 2854 | (SCM x), |
b380b885 | 2855 | "") |
1bbd0b84 | 2856 | #define FUNC_NAME s_scm_inexact_p |
0f2d19dd | 2857 | { |
f3ae5d60 | 2858 | if (SCM_INEXACTP (x)) |
f872b822 | 2859 | return SCM_BOOL_T; |
0f2d19dd JB |
2860 | return SCM_BOOL_F; |
2861 | } | |
1bbd0b84 | 2862 | #undef FUNC_NAME |
0f2d19dd JB |
2863 | |
2864 | ||
2865 | ||
2866 | ||
152f82bf | 2867 | SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p); |
1cc91f1b | 2868 | |
0f2d19dd | 2869 | SCM |
6e8d25a6 | 2870 | scm_num_eq_p (SCM x, SCM y) |
0f2d19dd | 2871 | { |
0f2d19dd | 2872 | SCM t; |
f872b822 MD |
2873 | if (SCM_NINUMP (x)) |
2874 | { | |
2875 | #ifdef SCM_BIGDIG | |
0c95b57d | 2876 | if (!SCM_NIMP (x)) |
f872b822 MD |
2877 | { |
2878 | badx: | |
152f82bf | 2879 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 | 2880 | } |
f872b822 MD |
2881 | if (SCM_BIGP (x)) |
2882 | { | |
2883 | if (SCM_INUMP (y)) | |
2884 | return SCM_BOOL_F; | |
2885 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2886 | if (SCM_BIGP (y)) | |
156dcb09 | 2887 | return SCM_BOOL(0 == scm_bigcomp (x, y)); |
f3ae5d60 | 2888 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2889 | bigreal: |
f3ae5d60 | 2890 | return ((SCM_SLOPPY_REALP (y) && (scm_big2dbl (x) == SCM_REALPART (y))) |
f872b822 MD |
2891 | ? SCM_BOOL_T |
2892 | : SCM_BOOL_F); | |
2893 | } | |
f3ae5d60 | 2894 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
0f2d19dd | 2895 | #else |
f3ae5d60 | 2896 | SCM_GASSERT2 (SCM_SLOPPY_INEXACTP (x), |
152f82bf | 2897 | g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 MD |
2898 | #endif |
2899 | if (SCM_INUMP (y)) | |
2900 | { | |
2901 | t = x; | |
2902 | x = y; | |
2903 | y = t; | |
2904 | goto realint; | |
2905 | } | |
2906 | #ifdef SCM_BIGDIG | |
2907 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2908 | if (SCM_BIGP (y)) | |
2909 | { | |
2910 | t = x; | |
2911 | x = y; | |
2912 | y = t; | |
2913 | goto bigreal; | |
2914 | } | |
f3ae5d60 | 2915 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2916 | #else |
f3ae5d60 | 2917 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2918 | #endif |
f3ae5d60 MD |
2919 | if (SCM_SLOPPY_REALP (x)) |
2920 | { | |
2921 | if (SCM_SLOPPY_REALP (y)) | |
2922 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); | |
2923 | else | |
2924 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y) | |
2925 | && 0.0 == SCM_COMPLEX_IMAG (y)); | |
2926 | } | |
2927 | else | |
2928 | { | |
2929 | if (SCM_SLOPPY_REALP (y)) | |
2930 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y) | |
2931 | && SCM_COMPLEX_IMAG (x) == 0.0); | |
2932 | else | |
2933 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2934 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2935 | } | |
f872b822 MD |
2936 | } |
2937 | if (SCM_NINUMP (y)) | |
2938 | { | |
2939 | #ifdef SCM_BIGDIG | |
2940 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2941 | if (SCM_BIGP (y)) | |
2942 | return SCM_BOOL_F; | |
f3ae5d60 | 2943 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
2944 | { |
2945 | bady: | |
152f82bf | 2946 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 2947 | } |
f872b822 | 2948 | #else |
f3ae5d60 | 2949 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
2950 | { |
2951 | bady: | |
152f82bf | 2952 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 2953 | } |
f872b822 MD |
2954 | #endif |
2955 | realint: | |
f3ae5d60 MD |
2956 | if (SCM_SLOPPY_REALP (y)) |
2957 | return SCM_BOOL ((double) SCM_INUM (x) == SCM_REAL_VALUE (y)); | |
2958 | else | |
2959 | return SCM_BOOL ((double) SCM_INUM (x) == SCM_COMPLEX_REAL (y) | |
2960 | && 0.0 == SCM_COMPLEX_IMAG (y)); | |
f872b822 | 2961 | } |
156dcb09 | 2962 | return SCM_BOOL((long) x == (long) y); |
0f2d19dd JB |
2963 | } |
2964 | ||
2965 | ||
2966 | ||
152f82bf | 2967 | SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p); |
1cc91f1b | 2968 | |
0f2d19dd | 2969 | SCM |
6e8d25a6 | 2970 | scm_less_p (SCM x, SCM y) |
0f2d19dd | 2971 | { |
f872b822 MD |
2972 | if (SCM_NINUMP (x)) |
2973 | { | |
2974 | #ifdef SCM_BIGDIG | |
0c95b57d | 2975 | if (!SCM_NIMP (x)) |
f872b822 MD |
2976 | { |
2977 | badx: | |
152f82bf | 2978 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 | 2979 | } |
f872b822 MD |
2980 | if (SCM_BIGP (x)) |
2981 | { | |
2982 | if (SCM_INUMP (y)) | |
156dcb09 | 2983 | return SCM_BOOL(SCM_BIGSIGN (x)); |
f872b822 MD |
2984 | SCM_ASRTGO (SCM_NIMP (y), bady); |
2985 | if (SCM_BIGP (y)) | |
156dcb09 | 2986 | return SCM_BOOL(1 == scm_bigcomp (x, y)); |
f3ae5d60 | 2987 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
2988 | return ((scm_big2dbl (x) < SCM_REALPART (y)) |
2989 | ? SCM_BOOL_T | |
2990 | : SCM_BOOL_F); | |
2991 | } | |
f3ae5d60 | 2992 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx); |
0f2d19dd | 2993 | #else |
f3ae5d60 | 2994 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
152f82bf | 2995 | g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 MD |
2996 | #endif |
2997 | if (SCM_INUMP (y)) | |
2998 | return ((SCM_REALPART (x) < ((double) SCM_INUM (y))) | |
2999 | ? SCM_BOOL_T | |
3000 | : SCM_BOOL_F); | |
3001 | #ifdef SCM_BIGDIG | |
3002 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3003 | if (SCM_BIGP (y)) | |
156dcb09 | 3004 | return SCM_BOOL(SCM_REALPART (x) < scm_big2dbl (y)); |
f3ae5d60 | 3005 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3006 | #else |
f3ae5d60 | 3007 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3008 | #endif |
156dcb09 | 3009 | return SCM_BOOL(SCM_REALPART (x) < SCM_REALPART (y)); |
f872b822 MD |
3010 | } |
3011 | if (SCM_NINUMP (y)) | |
3012 | { | |
3013 | #ifdef SCM_BIGDIG | |
3014 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3015 | if (SCM_BIGP (y)) | |
156dcb09 | 3016 | return SCM_NEGATE_BOOL(SCM_BIGSIGN (y)); |
f3ae5d60 | 3017 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3018 | { |
3019 | bady: | |
152f82bf | 3020 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3021 | } |
f872b822 | 3022 | #else |
f3ae5d60 | 3023 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3024 | { |
3025 | bady: | |
152f82bf | 3026 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3027 | } |
f872b822 MD |
3028 | #endif |
3029 | return ((((double) SCM_INUM (x)) < SCM_REALPART (y)) | |
3030 | ? SCM_BOOL_T | |
3031 | : SCM_BOOL_F); | |
3032 | } | |
156dcb09 | 3033 | return SCM_BOOL((long) x < (long) y); |
0f2d19dd JB |
3034 | } |
3035 | ||
3036 | ||
c3ee7520 | 3037 | SCM_DEFINE1 (scm_gr_p, ">", scm_tc7_rpsubr, |
1bbd0b84 | 3038 | (SCM x, SCM y), |
b380b885 | 3039 | "") |
1bbd0b84 | 3040 | #define FUNC_NAME s_scm_gr_p |
0f2d19dd | 3041 | { |
f872b822 | 3042 | return scm_less_p (y, x); |
0f2d19dd | 3043 | } |
1bbd0b84 | 3044 | #undef FUNC_NAME |
0f2d19dd JB |
3045 | |
3046 | ||
3047 | ||
c3ee7520 | 3048 | SCM_DEFINE1 (scm_leq_p, "<=", scm_tc7_rpsubr, |
1bbd0b84 | 3049 | (SCM x, SCM y), |
b380b885 | 3050 | "") |
1bbd0b84 | 3051 | #define FUNC_NAME s_scm_leq_p |
0f2d19dd | 3052 | { |
f872b822 | 3053 | return SCM_BOOL_NOT (scm_less_p (y, x)); |
0f2d19dd | 3054 | } |
1bbd0b84 | 3055 | #undef FUNC_NAME |
0f2d19dd JB |
3056 | |
3057 | ||
3058 | ||
c3ee7520 | 3059 | SCM_DEFINE1 (scm_geq_p, ">=", scm_tc7_rpsubr, |
1bbd0b84 | 3060 | (SCM x, SCM y), |
b380b885 | 3061 | "") |
1bbd0b84 | 3062 | #define FUNC_NAME s_scm_geq_p |
0f2d19dd | 3063 | { |
f872b822 | 3064 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd | 3065 | } |
1bbd0b84 | 3066 | #undef FUNC_NAME |
0f2d19dd JB |
3067 | |
3068 | ||
3069 | ||
152f82bf | 3070 | SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p); |
1cc91f1b | 3071 | |
0f2d19dd | 3072 | SCM |
6e8d25a6 | 3073 | scm_zero_p (SCM z) |
0f2d19dd | 3074 | { |
f872b822 MD |
3075 | if (SCM_NINUMP (z)) |
3076 | { | |
3077 | #ifdef SCM_BIGDIG | |
3078 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
3079 | if (SCM_BIGP (z)) | |
3080 | return SCM_BOOL_F; | |
f3ae5d60 | 3081 | if (!SCM_SLOPPY_INEXACTP (z)) |
f872b822 MD |
3082 | { |
3083 | badz: | |
152f82bf | 3084 | SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3085 | } |
0f2d19dd | 3086 | #else |
f3ae5d60 | 3087 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 3088 | g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3089 | #endif |
f3ae5d60 MD |
3090 | if (SCM_SLOPPY_REALP (z)) |
3091 | return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0); | |
3092 | else | |
3093 | return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0 | |
3094 | && SCM_COMPLEX_IMAG (z) == 0.0); | |
f872b822 | 3095 | } |
156dcb09 | 3096 | return SCM_BOOL(z == SCM_INUM0); |
0f2d19dd JB |
3097 | } |
3098 | ||
3099 | ||
3100 | ||
152f82bf | 3101 | SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p); |
1cc91f1b | 3102 | |
0f2d19dd | 3103 | SCM |
6e8d25a6 | 3104 | scm_positive_p (SCM x) |
0f2d19dd | 3105 | { |
f872b822 MD |
3106 | if (SCM_NINUMP (x)) |
3107 | { | |
3108 | #ifdef SCM_BIGDIG | |
3109 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3110 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3111 | return SCM_BOOL (!SCM_BIGSIGN (x)); |
3112 | if (!SCM_SLOPPY_REALP (x)) | |
f872b822 MD |
3113 | { |
3114 | badx: | |
152f82bf | 3115 | SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3116 | } |
0f2d19dd | 3117 | #else |
f3ae5d60 | 3118 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3119 | g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3120 | #endif |
156dcb09 | 3121 | return SCM_BOOL(SCM_REALPART (x) > 0.0); |
f872b822 | 3122 | } |
c209c88e | 3123 | return SCM_BOOL(SCM_INUM(x) > 0); |
0f2d19dd JB |
3124 | } |
3125 | ||
3126 | ||
3127 | ||
152f82bf | 3128 | SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p); |
1cc91f1b | 3129 | |
0f2d19dd | 3130 | SCM |
6e8d25a6 | 3131 | scm_negative_p (SCM x) |
0f2d19dd | 3132 | { |
f872b822 MD |
3133 | if (SCM_NINUMP (x)) |
3134 | { | |
3135 | #ifdef SCM_BIGDIG | |
3136 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3137 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3138 | return SCM_BOOL (SCM_BIGSIGN (x)); |
3139 | if (!(SCM_SLOPPY_REALP (x))) | |
f872b822 MD |
3140 | { |
3141 | badx: | |
152f82bf | 3142 | SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p); |
f872b822 | 3143 | } |
0f2d19dd | 3144 | #else |
f3ae5d60 | 3145 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3146 | g_negative_p, x, SCM_ARG1, s_negative_p); |
0f2d19dd | 3147 | #endif |
156dcb09 | 3148 | return SCM_BOOL(SCM_REALPART (x) < 0.0); |
f872b822 | 3149 | } |
c209c88e | 3150 | return SCM_BOOL(SCM_INUM(x) < 0); |
0f2d19dd JB |
3151 | } |
3152 | ||
3153 | ||
9de33deb | 3154 | SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max); |
1cc91f1b | 3155 | |
0f2d19dd | 3156 | SCM |
6e8d25a6 | 3157 | scm_max (SCM x, SCM y) |
0f2d19dd | 3158 | { |
0f2d19dd | 3159 | double z; |
f872b822 MD |
3160 | if (SCM_UNBNDP (y)) |
3161 | { | |
73ef98d6 MD |
3162 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3163 | g_max, scm_makfrom0str (s_max), SCM_WNA, 0); | |
0e3aa89f | 3164 | SCM_GASSERT1 (SCM_NUMBERP (x), g_max, x, SCM_ARG1, s_max); |
f872b822 MD |
3165 | return x; |
3166 | } | |
f872b822 MD |
3167 | if (SCM_NINUMP (x)) |
3168 | { | |
3169 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3170 | if (!SCM_NIMP (x)) |
3171 | { | |
3172 | badx2: | |
3173 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max); | |
3174 | } | |
f872b822 MD |
3175 | if (SCM_BIGP (x)) |
3176 | { | |
3177 | if (SCM_INUMP (y)) | |
3178 | return SCM_BIGSIGN (x) ? y : x; | |
3179 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3180 | if (SCM_BIGP (y)) | |
3181 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
f3ae5d60 | 3182 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3183 | z = scm_big2dbl (x); |
3184 | return (z < SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3185 | } | |
f3ae5d60 | 3186 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2); |
0f2d19dd | 3187 | #else |
f3ae5d60 | 3188 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
9de33deb | 3189 | g_max, x, y, SCM_ARG1, s_max); |
f872b822 MD |
3190 | #endif |
3191 | if (SCM_INUMP (y)) | |
3192 | return ((SCM_REALPART (x) < (z = SCM_INUM (y))) | |
3193 | ? scm_makdbl (z, 0.0) | |
3194 | : x); | |
3195 | #ifdef SCM_BIGDIG | |
3196 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3197 | if (SCM_BIGP (y)) | |
3198 | return ((SCM_REALPART (x) < (z = scm_big2dbl (y))) | |
3199 | ? scm_makdbl (z, 0.0) | |
3200 | : x); | |
f3ae5d60 | 3201 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3202 | #else |
f3ae5d60 | 3203 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3204 | #endif |
3205 | return (SCM_REALPART (x) < SCM_REALPART (y)) ? y : x; | |
3206 | } | |
3207 | if (SCM_NINUMP (y)) | |
3208 | { | |
3209 | #ifdef SCM_BIGDIG | |
3210 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3211 | if (SCM_BIGP (y)) | |
3212 | return SCM_BIGSIGN (y) ? x : y; | |
f3ae5d60 | 3213 | if (!(SCM_SLOPPY_REALP (y))) |
f872b822 MD |
3214 | { |
3215 | bady: | |
9de33deb | 3216 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3217 | } |
f872b822 | 3218 | #else |
f3ae5d60 | 3219 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3220 | { |
3221 | bady: | |
9de33deb | 3222 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3223 | } |
f872b822 MD |
3224 | #endif |
3225 | return (((z = SCM_INUM (x)) < SCM_REALPART (y)) | |
3226 | ? y | |
3227 | : scm_makdbl (z, 0.0)); | |
3228 | } | |
f872b822 | 3229 | return ((long) x < (long) y) ? y : x; |
0f2d19dd JB |
3230 | } |
3231 | ||
3232 | ||
c209c88e GB |
3233 | #define SCM_SWAP(x,y) do { SCM t = x; x = y; y = t; } while (0) |
3234 | ||
0f2d19dd JB |
3235 | |
3236 | ||
9de33deb | 3237 | SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min); |
1cc91f1b | 3238 | |
0f2d19dd | 3239 | SCM |
6e8d25a6 | 3240 | scm_min (SCM x, SCM y) |
0f2d19dd | 3241 | { |
0f2d19dd | 3242 | double z; |
f872b822 MD |
3243 | if (SCM_UNBNDP (y)) |
3244 | { | |
73ef98d6 MD |
3245 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3246 | g_min, scm_makfrom0str (s_min), SCM_WNA, 0); | |
0e3aa89f | 3247 | SCM_GASSERT1 (SCM_NUMBERP (x), g_min, x, SCM_ARG1, s_min); |
f872b822 MD |
3248 | return x; |
3249 | } | |
f872b822 MD |
3250 | if (SCM_NINUMP (x)) |
3251 | { | |
3252 | #ifdef SCM_BIGDIG | |
0c95b57d | 3253 | if (!SCM_NIMP (x)) |
0e3aa89f MD |
3254 | { |
3255 | badx2: | |
3256 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min); | |
3257 | } | |
f872b822 MD |
3258 | if (SCM_BIGP (x)) |
3259 | { | |
3260 | if (SCM_INUMP (y)) | |
3261 | return SCM_BIGSIGN (x) ? x : y; | |
3262 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3263 | if (SCM_BIGP (y)) | |
3264 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
f3ae5d60 | 3265 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3266 | z = scm_big2dbl (x); |
3267 | return (z > SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3268 | } | |
f3ae5d60 | 3269 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2); |
0f2d19dd | 3270 | #else |
f3ae5d60 | 3271 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
9de33deb | 3272 | g_min, x, y, SCM_ARG1, s_min); |
f872b822 MD |
3273 | #endif |
3274 | if (SCM_INUMP (y)) | |
3275 | return ((SCM_REALPART (x) > (z = SCM_INUM (y))) | |
3276 | ? scm_makdbl (z, 0.0) | |
3277 | : x); | |
3278 | #ifdef SCM_BIGDIG | |
3279 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3280 | if (SCM_BIGP (y)) | |
3281 | return ((SCM_REALPART (x) > (z = scm_big2dbl (y))) | |
3282 | ? scm_makdbl (z, 0.0) | |
3283 | : x); | |
f3ae5d60 | 3284 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3285 | #else |
f3ae5d60 | 3286 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3287 | #endif |
3288 | return (SCM_REALPART (x) > SCM_REALPART (y)) ? y : x; | |
3289 | } | |
3290 | if (SCM_NINUMP (y)) | |
3291 | { | |
3292 | #ifdef SCM_BIGDIG | |
3293 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3294 | if (SCM_BIGP (y)) | |
3295 | return SCM_BIGSIGN (y) ? y : x; | |
f3ae5d60 | 3296 | if (!(SCM_SLOPPY_REALP (y))) |
f872b822 MD |
3297 | { |
3298 | bady: | |
9de33deb | 3299 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3300 | } |
f872b822 | 3301 | #else |
f3ae5d60 | 3302 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3303 | { |
3304 | bady: | |
9de33deb | 3305 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3306 | } |
0f2d19dd | 3307 | #endif |
f872b822 MD |
3308 | return (((z = SCM_INUM (x)) > SCM_REALPART (y)) |
3309 | ? y | |
3310 | : scm_makdbl (z, 0.0)); | |
3311 | } | |
f872b822 | 3312 | return ((long) x > (long) y) ? y : x; |
0f2d19dd JB |
3313 | } |
3314 | ||
3315 | ||
3316 | ||
3317 | ||
9de33deb | 3318 | SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum); |
1cc91f1b | 3319 | |
c209c88e GB |
3320 | /* |
3321 | This is sick, sick, sick code. | |
3322 | ||
3323 | */ | |
0f2d19dd | 3324 | SCM |
6e8d25a6 | 3325 | scm_sum (SCM x, SCM y) |
0f2d19dd | 3326 | { |
f872b822 MD |
3327 | if (SCM_UNBNDP (y)) |
3328 | { | |
3329 | if (SCM_UNBNDP (x)) | |
3330 | return SCM_INUM0; | |
0e3aa89f | 3331 | SCM_GASSERT1 (SCM_NUMBERP (x), g_sum, x, SCM_ARG1, s_sum); |
f872b822 MD |
3332 | return x; |
3333 | } | |
f872b822 MD |
3334 | if (SCM_NINUMP (x)) |
3335 | { | |
c209c88e | 3336 | # ifdef SCM_BIGDIG |
0e3aa89f MD |
3337 | if (!SCM_NIMP (x)) |
3338 | { | |
3339 | badx2: | |
3340 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum); | |
3341 | } | |
f872b822 MD |
3342 | if (SCM_BIGP (x)) |
3343 | { | |
3344 | if (SCM_INUMP (y)) | |
3345 | { | |
c209c88e | 3346 | SCM_SWAP(x,y); |
f872b822 MD |
3347 | goto intbig; |
3348 | } | |
3349 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3350 | if (SCM_BIGP (y)) | |
3351 | { | |
3352 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) | |
3353 | { | |
c209c88e | 3354 | SCM_SWAP(x,y); |
f872b822 MD |
3355 | } |
3356 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3357 | SCM_BIGSIGN (x), | |
3358 | y, 0); | |
3359 | } | |
f3ae5d60 | 3360 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3361 | bigreal: |
f3ae5d60 MD |
3362 | if (SCM_SLOPPY_REALP (y)) |
3363 | return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y)); | |
3364 | else | |
3365 | return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y), | |
3366 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3367 | } |
c209c88e | 3368 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3369 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
c209c88e | 3370 | |
f872b822 MD |
3371 | if (SCM_INUMP (y)) |
3372 | { | |
c209c88e | 3373 | SCM_SWAP(x,y); |
f872b822 MD |
3374 | goto intreal; |
3375 | } | |
c209c88e | 3376 | # ifdef SCM_BIGDIG |
f872b822 MD |
3377 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3378 | if (SCM_BIGP (y)) | |
3379 | { | |
c209c88e | 3380 | SCM_SWAP(x,y); |
f872b822 MD |
3381 | goto bigreal; |
3382 | } | |
f3ae5d60 | 3383 | else if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3384 | { |
3385 | bady: | |
9de33deb | 3386 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3387 | } |
c209c88e | 3388 | # else /* SCM_BIGDIG */ |
f3ae5d60 | 3389 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3390 | { |
3391 | bady: | |
9de33deb | 3392 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3393 | } |
c209c88e | 3394 | # endif /* SCM_BIGDIG */ |
f872b822 MD |
3395 | { |
3396 | double i = 0.0; | |
f3ae5d60 MD |
3397 | if (SCM_SLOPPY_COMPLEXP (x)) |
3398 | i = SCM_COMPLEX_IMAG (x); | |
3399 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3400 | i += SCM_COMPLEX_IMAG (y); | |
f872b822 | 3401 | return scm_makdbl (SCM_REALPART (x) + SCM_REALPART (y), i); |
0f2d19dd | 3402 | } |
f872b822 MD |
3403 | } |
3404 | if (SCM_NINUMP (y)) | |
3405 | { | |
c209c88e | 3406 | # ifdef SCM_BIGDIG |
f872b822 MD |
3407 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3408 | if (SCM_BIGP (y)) | |
3409 | { | |
3410 | intbig: | |
3411 | { | |
c209c88e | 3412 | # ifndef SCM_DIGSTOOBIG |
f872b822 MD |
3413 | long z = scm_pseudolong (SCM_INUM (x)); |
3414 | return scm_addbig ((SCM_BIGDIG *) & z, | |
3415 | SCM_DIGSPERLONG, | |
f3ae5d60 | 3416 | (x < 0) ? SCM_BIGSIGNFLAG : 0, |
f872b822 | 3417 | y, 0); |
c209c88e | 3418 | # else /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3419 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3420 | scm_longdigs (SCM_INUM (x), zdigs); | |
f3ae5d60 | 3421 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? SCM_BIGSIGNFLAG : 0, |
f872b822 | 3422 | y, 0); |
c209c88e | 3423 | # endif /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3424 | } |
3425 | } | |
c209c88e | 3426 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3427 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3428 | intreal: |
f3ae5d60 MD |
3429 | if (SCM_REALP (y)) |
3430 | return scm_make_real (SCM_INUM (x) + SCM_REAL_VALUE (y)); | |
3431 | else | |
3432 | return scm_make_complex (SCM_INUM (x) + SCM_COMPLEX_REAL (y), | |
3433 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3434 | } |
c209c88e GB |
3435 | { /* scope */ |
3436 | long int i = SCM_INUM (x) + SCM_INUM (y); | |
3437 | if (SCM_FIXABLE (i)) | |
3438 | return SCM_MAKINUM (i); | |
0f2d19dd | 3439 | #ifdef SCM_BIGDIG |
c209c88e GB |
3440 | return scm_long2big (i); |
3441 | #else /* SCM_BIGDIG */ | |
c209c88e | 3442 | return scm_makdbl ((double) i, 0.0); |
c209c88e GB |
3443 | #endif /* SCM_BIGDIG */ |
3444 | } /* end scope */ | |
0f2d19dd JB |
3445 | } |
3446 | ||
3447 | ||
3448 | ||
3449 | ||
9de33deb | 3450 | SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference); |
1cc91f1b | 3451 | |
c209c88e GB |
3452 | /* |
3453 | HWN:FIXME:: This is sick,sick, sick code. Rewrite me. | |
3454 | */ | |
0f2d19dd | 3455 | SCM |
6e8d25a6 | 3456 | scm_difference (SCM x, SCM y) |
0f2d19dd | 3457 | { |
c209c88e | 3458 | long int cx = 0; |
f872b822 MD |
3459 | if (SCM_NINUMP (x)) |
3460 | { | |
c209c88e | 3461 | if (!SCM_NIMP (x)) |
f872b822 | 3462 | { |
0e3aa89f MD |
3463 | if (SCM_UNBNDP (y)) |
3464 | { | |
73ef98d6 MD |
3465 | SCM_GASSERT0 (!SCM_UNBNDP (x), g_difference, |
3466 | scm_makfrom0str (s_difference), SCM_WNA, 0); | |
0e3aa89f MD |
3467 | badx: |
3468 | SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference); | |
3469 | } | |
3470 | else | |
3471 | { | |
3472 | badx2: | |
3473 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference); | |
3474 | } | |
f872b822 | 3475 | } |
f872b822 MD |
3476 | if (SCM_UNBNDP (y)) |
3477 | { | |
3478 | #ifdef SCM_BIGDIG | |
3479 | if (SCM_BIGP (x)) | |
3480 | { | |
3481 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3482 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3483 | <= sizeof (SCM) | |
3484 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3485 | : x); | |
3486 | } | |
3487 | #endif | |
f3ae5d60 MD |
3488 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
3489 | if (SCM_SLOPPY_REALP (x)) | |
3490 | return scm_make_real (- SCM_REAL_VALUE (x)); | |
3491 | else | |
3492 | return scm_make_complex (- SCM_COMPLEX_REAL (x), | |
3493 | - SCM_COMPLEX_IMAG (x)); | |
f872b822 MD |
3494 | } |
3495 | if (SCM_INUMP (y)) | |
3496 | return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y))); | |
3497 | #ifdef SCM_BIGDIG | |
3498 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3499 | if (SCM_BIGP (x)) | |
3500 | { | |
3501 | if (SCM_BIGP (y)) | |
3502 | return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3503 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3504 | SCM_BIGSIGN (x), | |
f3ae5d60 | 3505 | y, SCM_BIGSIGNFLAG) |
f872b822 | 3506 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), |
f3ae5d60 | 3507 | SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, |
f872b822 | 3508 | x, 0)); |
f3ae5d60 MD |
3509 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3510 | if (SCM_REALP (y)) | |
3511 | return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y)); | |
3512 | else | |
3513 | return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y), | |
3514 | - SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3515 | } |
f3ae5d60 | 3516 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 | 3517 | if (SCM_BIGP (y)) |
f872b822 | 3518 | { |
f3ae5d60 MD |
3519 | if (SCM_REALP (x)) |
3520 | return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y)); | |
f872b822 | 3521 | else |
f3ae5d60 MD |
3522 | return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y), |
3523 | SCM_COMPLEX_IMAG (x)); | |
f872b822 | 3524 | } |
f3ae5d60 MD |
3525 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3526 | #else | |
3527 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); | |
3528 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); | |
3529 | #endif | |
3530 | { | |
3531 | SCM z; | |
3532 | if (SCM_SLOPPY_COMPLEXP (x)) | |
3533 | { | |
3534 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3535 | SCM_NEWCOMPLEX (z, | |
3536 | SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y), | |
3537 | SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y)); | |
3538 | else | |
3539 | SCM_NEWCOMPLEX (z, | |
3540 | SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y), | |
3541 | SCM_COMPLEX_IMAG (x)); | |
3542 | } | |
3543 | else | |
3544 | { | |
3545 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3546 | SCM_NEWCOMPLEX (z, | |
3547 | SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y), | |
3548 | - SCM_COMPLEX_IMAG (y)); | |
3549 | else | |
3550 | SCM_NEWREAL (z, SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y)); | |
3551 | } | |
3552 | return z; | |
3553 | } | |
f872b822 MD |
3554 | } |
3555 | if (SCM_UNBNDP (y)) | |
3556 | { | |
c209c88e | 3557 | cx = -SCM_INUM (x); |
f872b822 MD |
3558 | goto checkx; |
3559 | } | |
3560 | if (SCM_NINUMP (y)) | |
3561 | { | |
3562 | #ifdef SCM_BIGDIG | |
3563 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3564 | if (SCM_BIGP (y)) | |
3565 | { | |
3566 | #ifndef SCM_DIGSTOOBIG | |
3567 | long z = scm_pseudolong (SCM_INUM (x)); | |
3568 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
f3ae5d60 MD |
3569 | (x < 0) ? SCM_BIGSIGNFLAG : 0, |
3570 | y, SCM_BIGSIGNFLAG); | |
f872b822 MD |
3571 | #else |
3572 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3573 | scm_longdigs (SCM_INUM (x), zdigs); | |
f3ae5d60 MD |
3574 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? SCM_BIGSIGNFLAG : 0, |
3575 | y, SCM_BIGSIGNFLAG); | |
f872b822 MD |
3576 | #endif |
3577 | } | |
f3ae5d60 | 3578 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3579 | { |
3580 | bady: | |
9de33deb | 3581 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3582 | } |
f872b822 | 3583 | #else |
f3ae5d60 | 3584 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3585 | { |
3586 | bady: | |
9de33deb | 3587 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3588 | } |
f872b822 MD |
3589 | #endif |
3590 | return scm_makdbl (SCM_INUM (x) - SCM_REALPART (y), | |
f3ae5d60 | 3591 | SCM_SLOPPY_COMPLEXP (y) ? -SCM_IMAG (y) : 0.0); |
f872b822 | 3592 | } |
c209c88e | 3593 | cx = SCM_INUM (x) - SCM_INUM (y); |
0f2d19dd | 3594 | checkx: |
c209c88e GB |
3595 | if (SCM_FIXABLE (cx)) |
3596 | return SCM_MAKINUM (cx); | |
0f2d19dd | 3597 | #ifdef SCM_BIGDIG |
c209c88e | 3598 | return scm_long2big (cx); |
f872b822 | 3599 | #else |
c209c88e | 3600 | return scm_makdbl ((double) cx, 0.0); |
0f2d19dd JB |
3601 | #endif |
3602 | } | |
3603 | ||
3604 | ||
3605 | ||
3606 | ||
9de33deb | 3607 | SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product); |
1cc91f1b | 3608 | |
0f2d19dd | 3609 | SCM |
6e8d25a6 | 3610 | scm_product (SCM x, SCM y) |
0f2d19dd | 3611 | { |
f872b822 MD |
3612 | if (SCM_UNBNDP (y)) |
3613 | { | |
3614 | if (SCM_UNBNDP (x)) | |
3615 | return SCM_MAKINUM (1L); | |
0e3aa89f | 3616 | SCM_GASSERT1 (SCM_NUMBERP (x), g_product, x, SCM_ARG1, s_product); |
f872b822 MD |
3617 | return x; |
3618 | } | |
f872b822 MD |
3619 | if (SCM_NINUMP (x)) |
3620 | { | |
3621 | SCM t; | |
3622 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3623 | if (!SCM_NIMP (x)) |
3624 | { | |
3625 | badx2: | |
3626 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product); | |
3627 | } | |
f872b822 MD |
3628 | if (SCM_BIGP (x)) |
3629 | { | |
3630 | if (SCM_INUMP (y)) | |
3631 | { | |
3632 | t = x; | |
3633 | x = y; | |
3634 | y = t; | |
3635 | goto intbig; | |
3636 | } | |
3637 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3638 | if (SCM_BIGP (y)) | |
3639 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3640 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3641 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
f3ae5d60 | 3642 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 MD |
3643 | bigreal: |
3644 | { | |
3645 | double bg = scm_big2dbl (x); | |
3646 | return scm_makdbl (bg * SCM_REALPART (y), | |
f3ae5d60 | 3647 | SCM_SLOPPY_COMPLEXP (y) ? bg * SCM_IMAG (y) : 0.0); |
f872b822 MD |
3648 | } |
3649 | } | |
f3ae5d60 | 3650 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 | 3651 | #else |
f3ae5d60 | 3652 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 MD |
3653 | #endif |
3654 | if (SCM_INUMP (y)) | |
3655 | { | |
3656 | t = x; | |
3657 | x = y; | |
3658 | y = t; | |
3659 | goto intreal; | |
3660 | } | |
3661 | #ifdef SCM_BIGDIG | |
3662 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3663 | if (SCM_BIGP (y)) | |
3664 | { | |
3665 | t = x; | |
3666 | x = y; | |
3667 | y = t; | |
3668 | goto bigreal; | |
3669 | } | |
f3ae5d60 | 3670 | else if (!(SCM_SLOPPY_INEXACTP (y))) |
f872b822 MD |
3671 | { |
3672 | bady: | |
9de33deb | 3673 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3674 | } |
f872b822 | 3675 | #else |
f3ae5d60 | 3676 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3677 | { |
3678 | bady: | |
9de33deb | 3679 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3680 | } |
f872b822 | 3681 | #endif |
f3ae5d60 | 3682 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 | 3683 | { |
f3ae5d60 | 3684 | if (SCM_SLOPPY_COMPLEXP (y)) |
f872b822 MD |
3685 | return scm_makdbl (SCM_REAL (x) * SCM_REAL (y) |
3686 | - SCM_IMAG (x) * SCM_IMAG (y), | |
3687 | SCM_REAL (x) * SCM_IMAG (y) | |
3688 | + SCM_IMAG (x) * SCM_REAL (y)); | |
3689 | else | |
3690 | return scm_makdbl (SCM_REAL (x) * SCM_REALPART (y), | |
3691 | SCM_IMAG (x) * SCM_REALPART (y)); | |
3692 | } | |
3693 | return scm_makdbl (SCM_REALPART (x) * SCM_REALPART (y), | |
f3ae5d60 | 3694 | SCM_SLOPPY_COMPLEXP (y) |
f872b822 MD |
3695 | ? SCM_REALPART (x) * SCM_IMAG (y) |
3696 | : 0.0); | |
3697 | } | |
3698 | if (SCM_NINUMP (y)) | |
3699 | { | |
3700 | #ifdef SCM_BIGDIG | |
3701 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3702 | if (SCM_BIGP (y)) | |
3703 | { | |
3704 | intbig: | |
3705 | if (SCM_INUM0 == x) | |
3706 | return x; | |
3707 | if (SCM_MAKINUM (1L) == x) | |
3708 | return y; | |
3709 | { | |
3710 | #ifndef SCM_DIGSTOOBIG | |
3711 | long z = scm_pseudolong (SCM_INUM (x)); | |
3712 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3713 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3714 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3715 | #else | |
3716 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3717 | scm_longdigs (SCM_INUM (x), zdigs); | |
3718 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3719 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3720 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3721 | #endif | |
3722 | } | |
3723 | } | |
f3ae5d60 | 3724 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3725 | #else |
f3ae5d60 | 3726 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 MD |
3727 | #endif |
3728 | intreal: | |
3729 | return scm_makdbl (SCM_INUM (x) * SCM_REALPART (y), | |
f3ae5d60 | 3730 | SCM_SLOPPY_COMPLEXP (y) ? SCM_INUM (x) * SCM_IMAG (y) : 0.0); |
f872b822 | 3731 | } |
0f2d19dd JB |
3732 | { |
3733 | long i, j, k; | |
f872b822 MD |
3734 | i = SCM_INUM (x); |
3735 | if (0 == i) | |
3736 | return x; | |
3737 | j = SCM_INUM (y); | |
0f2d19dd | 3738 | k = i * j; |
f872b822 MD |
3739 | y = SCM_MAKINUM (k); |
3740 | if (k != SCM_INUM (y) || k / i != j) | |
3741 | #ifdef SCM_BIGDIG | |
3742 | { | |
3743 | int sgn = (i < 0) ^ (j < 0); | |
3744 | #ifndef SCM_DIGSTOOBIG | |
3745 | i = scm_pseudolong (i); | |
3746 | j = scm_pseudolong (j); | |
3747 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, | |
3748 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
3749 | #else /* SCM_DIGSTOOBIG */ | |
0f2d19dd JB |
3750 | SCM_BIGDIG idigs[SCM_DIGSPERLONG]; |
3751 | SCM_BIGDIG jdigs[SCM_DIGSPERLONG]; | |
f872b822 MD |
3752 | scm_longdigs (i, idigs); |
3753 | scm_longdigs (j, jdigs); | |
3754 | return scm_mulbig (idigs, SCM_DIGSPERLONG, | |
3755 | jdigs, SCM_DIGSPERLONG, | |
3756 | sgn); | |
3757 | #endif | |
0f2d19dd JB |
3758 | } |
3759 | #else | |
f872b822 | 3760 | return scm_makdbl (((double) i) * ((double) j), 0.0); |
0f2d19dd JB |
3761 | #endif |
3762 | return y; | |
3763 | } | |
3764 | } | |
3765 | ||
3766 | ||
1cc91f1b | 3767 | |
0f2d19dd | 3768 | double |
6e8d25a6 | 3769 | scm_num2dbl (SCM a, const char *why) |
0f2d19dd JB |
3770 | { |
3771 | if (SCM_INUMP (a)) | |
3772 | return (double) SCM_INUM (a); | |
0f2d19dd | 3773 | SCM_ASSERT (SCM_NIMP (a), a, "wrong type argument", why); |
f3ae5d60 | 3774 | if (SCM_SLOPPY_REALP (a)) |
0f2d19dd | 3775 | return (SCM_REALPART (a)); |
0f2d19dd JB |
3776 | #ifdef SCM_BIGDIG |
3777 | return scm_big2dbl (a); | |
3778 | #endif | |
3779 | SCM_ASSERT (0, a, "wrong type argument", why); | |
c209c88e GB |
3780 | /* |
3781 | unreachable, hopefully. | |
3782 | */ | |
3783 | return (double) 0.0; /* ugh. */ | |
3784 | /* return SCM_UNSPECIFIED; */ | |
0f2d19dd JB |
3785 | } |
3786 | ||
3787 | ||
9de33deb | 3788 | SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide); |
1cc91f1b | 3789 | |
0f2d19dd | 3790 | SCM |
6e8d25a6 | 3791 | scm_divide (SCM x, SCM y) |
0f2d19dd | 3792 | { |
0f2d19dd | 3793 | double d, r, i, a; |
f872b822 MD |
3794 | if (SCM_NINUMP (x)) |
3795 | { | |
f872b822 MD |
3796 | if (!(SCM_NIMP (x))) |
3797 | { | |
0e3aa89f MD |
3798 | if (SCM_UNBNDP (y)) |
3799 | { | |
73ef98d6 MD |
3800 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3801 | g_divide, scm_makfrom0str (s_divide), SCM_WNA, 0); | |
0e3aa89f MD |
3802 | badx: |
3803 | SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide); | |
3804 | } | |
3805 | else | |
3806 | { | |
3807 | badx2: | |
3808 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide); | |
3809 | } | |
f872b822 | 3810 | } |
f872b822 MD |
3811 | if (SCM_UNBNDP (y)) |
3812 | { | |
3813 | #ifdef SCM_BIGDIG | |
3814 | if (SCM_BIGP (x)) | |
3815 | return scm_makdbl (1.0 / scm_big2dbl (x), 0.0); | |
3816 | #endif | |
f3ae5d60 MD |
3817 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
3818 | if (SCM_SLOPPY_REALP (x)) | |
f872b822 MD |
3819 | return scm_makdbl (1.0 / SCM_REALPART (x), 0.0); |
3820 | r = SCM_REAL (x); | |
3821 | i = SCM_IMAG (x); | |
3822 | d = r * r + i * i; | |
3823 | return scm_makdbl (r / d, -i / d); | |
3824 | } | |
3825 | #ifdef SCM_BIGDIG | |
3826 | if (SCM_BIGP (x)) | |
3827 | { | |
f872b822 MD |
3828 | if (SCM_INUMP (y)) |
3829 | { | |
c209c88e | 3830 | long int z = SCM_INUM (y); |
f872b822 MD |
3831 | #ifndef SCM_RECKLESS |
3832 | if (!z) | |
3833 | scm_num_overflow (s_divide); | |
3834 | #endif | |
3835 | if (1 == z) | |
3836 | return x; | |
3837 | if (z < 0) | |
3838 | z = -z; | |
3839 | if (z < SCM_BIGRAD) | |
3840 | { | |
3841 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
3842 | return (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
3843 | (SCM_BIGDIG) z) | |
3844 | ? scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0) | |
3845 | : scm_normbig (w)); | |
3846 | } | |
3847 | #ifndef SCM_DIGSTOOBIG | |
c209c88e | 3848 | /*ugh! Does anyone know what this is supposed to do?*/ |
f872b822 | 3849 | z = scm_pseudolong (z); |
c209c88e GB |
3850 | z = SCM_INUM(scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
3851 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3852 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3)); | |
f872b822 MD |
3853 | #else |
3854 | { | |
3855 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3856 | scm_longdigs (z, zdigs); | |
3857 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3858 | zdigs, SCM_DIGSPERLONG, | |
3859 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
3860 | } | |
3861 | #endif | |
f1267706 | 3862 | return z ? SCM_PACK (z) : scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0); |
f872b822 MD |
3863 | } |
3864 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3865 | if (SCM_BIGP (y)) | |
3866 | { | |
c209c88e | 3867 | SCM z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
f872b822 MD |
3868 | SCM_BDIGITS (y), SCM_NUMDIGS (y), |
3869 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
3870 | return z ? z : scm_makdbl (scm_big2dbl (x) / scm_big2dbl (y), | |
3871 | 0.0); | |
3872 | } | |
f3ae5d60 MD |
3873 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3874 | if (SCM_SLOPPY_REALP (y)) | |
f872b822 MD |
3875 | return scm_makdbl (scm_big2dbl (x) / SCM_REALPART (y), 0.0); |
3876 | a = scm_big2dbl (x); | |
3877 | goto complex_div; | |
3878 | } | |
3879 | #endif | |
f3ae5d60 | 3880 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 MD |
3881 | if (SCM_INUMP (y)) |
3882 | { | |
3883 | d = SCM_INUM (y); | |
3884 | goto basic_div; | |
3885 | } | |
3886 | #ifdef SCM_BIGDIG | |
3887 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3888 | if (SCM_BIGP (y)) | |
3889 | { | |
3890 | d = scm_big2dbl (y); | |
3891 | goto basic_div; | |
3892 | } | |
f3ae5d60 | 3893 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3894 | #else |
f3ae5d60 | 3895 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3896 | #endif |
f3ae5d60 | 3897 | if (SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3898 | { |
3899 | d = SCM_REALPART (y); | |
3900 | basic_div: | |
3901 | return scm_makdbl (SCM_REALPART (x) / d, | |
f3ae5d60 | 3902 | SCM_SLOPPY_COMPLEXP (x) ? SCM_IMAG (x) / d : 0.0); |
f872b822 MD |
3903 | } |
3904 | a = SCM_REALPART (x); | |
f3ae5d60 | 3905 | if (SCM_SLOPPY_REALP (x)) |
f872b822 MD |
3906 | goto complex_div; |
3907 | r = SCM_REAL (y); | |
3908 | i = SCM_IMAG (y); | |
3909 | d = r * r + i * i; | |
3910 | return scm_makdbl ((a * r + SCM_IMAG (x) * i) / d, | |
3911 | (SCM_IMAG (x) * r - a * i) / d); | |
3912 | } | |
3913 | if (SCM_UNBNDP (y)) | |
3914 | { | |
3915 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
3916 | return x; | |
3917 | return scm_makdbl (1.0 / ((double) SCM_INUM (x)), 0.0); | |
3918 | } | |
3919 | if (SCM_NINUMP (y)) | |
3920 | { | |
3921 | #ifdef SCM_BIGDIG | |
3922 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3923 | if (SCM_BIGP (y)) | |
3924 | return scm_makdbl (SCM_INUM (x) / scm_big2dbl (y), 0.0); | |
f3ae5d60 | 3925 | if (!(SCM_SLOPPY_INEXACTP (y))) |
f872b822 MD |
3926 | { |
3927 | bady: | |
9de33deb | 3928 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 3929 | } |
f872b822 | 3930 | #else |
f3ae5d60 | 3931 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3932 | { |
3933 | bady: | |
9de33deb | 3934 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 3935 | } |
f872b822 | 3936 | #endif |
f3ae5d60 | 3937 | if (SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3938 | return scm_makdbl (SCM_INUM (x) / SCM_REALPART (y), 0.0); |
3939 | a = SCM_INUM (x); | |
3940 | complex_div: | |
3941 | r = SCM_REAL (y); | |
3942 | i = SCM_IMAG (y); | |
3943 | d = r * r + i * i; | |
3944 | return scm_makdbl ((a * r) / d, (-a * i) / d); | |
3945 | } | |
0f2d19dd | 3946 | { |
f872b822 MD |
3947 | long z = SCM_INUM (y); |
3948 | if ((0 == z) || SCM_INUM (x) % z) | |
3949 | goto ov; | |
3950 | z = SCM_INUM (x) / z; | |
3951 | if (SCM_FIXABLE (z)) | |
3952 | return SCM_MAKINUM (z); | |
0f2d19dd | 3953 | #ifdef SCM_BIGDIG |
f872b822 | 3954 | return scm_long2big (z); |
0f2d19dd | 3955 | #endif |
f872b822 MD |
3956 | ov: |
3957 | return scm_makdbl (((double) SCM_INUM (x)) / ((double) SCM_INUM (y)), 0.0); | |
0f2d19dd JB |
3958 | } |
3959 | } | |
3960 | ||
3961 | ||
3962 | ||
3963 | ||
9de33deb | 3964 | SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh); |
1cc91f1b | 3965 | |
0f2d19dd | 3966 | double |
6e8d25a6 | 3967 | scm_asinh (double x) |
0f2d19dd | 3968 | { |
f872b822 | 3969 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
3970 | } |
3971 | ||
3972 | ||
3973 | ||
3974 | ||
9de33deb | 3975 | SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh); |
1cc91f1b | 3976 | |
0f2d19dd | 3977 | double |
6e8d25a6 | 3978 | scm_acosh (double x) |
0f2d19dd | 3979 | { |
f872b822 | 3980 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
3981 | } |
3982 | ||
3983 | ||
3984 | ||
3985 | ||
9de33deb | 3986 | SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh); |
1cc91f1b | 3987 | |
0f2d19dd | 3988 | double |
6e8d25a6 | 3989 | scm_atanh (double x) |
0f2d19dd | 3990 | { |
f872b822 | 3991 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
3992 | } |
3993 | ||
3994 | ||
3995 | ||
3996 | ||
9de33deb | 3997 | SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate); |
1cc91f1b | 3998 | |
0f2d19dd | 3999 | double |
6e8d25a6 | 4000 | scm_truncate (double x) |
0f2d19dd | 4001 | { |
f872b822 MD |
4002 | if (x < 0.0) |
4003 | return -floor (-x); | |
4004 | return floor (x); | |
0f2d19dd JB |
4005 | } |
4006 | ||
4007 | ||
4008 | ||
9de33deb | 4009 | SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round); |
1cc91f1b | 4010 | |
0f2d19dd | 4011 | double |
6e8d25a6 | 4012 | scm_round (double x) |
0f2d19dd JB |
4013 | { |
4014 | double plus_half = x + 0.5; | |
f872b822 | 4015 | double result = floor (plus_half); |
0f2d19dd | 4016 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 4017 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
4018 | ? result - 1 : result; |
4019 | } | |
4020 | ||
4021 | ||
4022 | ||
9de33deb | 4023 | SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact); |
1cc91f1b | 4024 | |
0f2d19dd | 4025 | double |
6e8d25a6 | 4026 | scm_exact_to_inexact (double z) |
0f2d19dd JB |
4027 | { |
4028 | return z; | |
4029 | } | |
4030 | ||
4031 | ||
9de33deb MD |
4032 | SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor); |
4033 | SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil); | |
4034 | SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt); | |
4035 | SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs); | |
4036 | SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp); | |
4037 | SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log); | |
4038 | SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin); | |
4039 | SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos); | |
4040 | SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan); | |
4041 | SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin); | |
4042 | SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos); | |
4043 | SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan); | |
4044 | SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh); | |
4045 | SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh); | |
4046 | SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh); | |
f872b822 MD |
4047 | |
4048 | struct dpair | |
4049 | { | |
4050 | double x, y; | |
4051 | }; | |
4052 | ||
3eeba8d4 JB |
4053 | static void scm_two_doubles (SCM z1, |
4054 | SCM z2, | |
4055 | const char *sstring, | |
4056 | struct dpair * xy); | |
f872b822 MD |
4057 | |
4058 | static void | |
6e8d25a6 | 4059 | scm_two_doubles (SCM z1, SCM z2, const char *sstring, struct dpair *xy) |
0f2d19dd | 4060 | { |
f872b822 MD |
4061 | if (SCM_INUMP (z1)) |
4062 | xy->x = SCM_INUM (z1); | |
4063 | else | |
4064 | { | |
4065 | #ifdef SCM_BIGDIG | |
4066 | SCM_ASRTGO (SCM_NIMP (z1), badz1); | |
4067 | if (SCM_BIGP (z1)) | |
4068 | xy->x = scm_big2dbl (z1); | |
4069 | else | |
4070 | { | |
4071 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4072 | if (!SCM_SLOPPY_REALP (z1)) |
f872b822 MD |
4073 | badz1:scm_wta (z1, (char *) SCM_ARG1, sstring); |
4074 | #endif | |
4075 | xy->x = SCM_REALPART (z1); | |
4076 | } | |
4077 | #else | |
4078 | { | |
f3ae5d60 | 4079 | SCM_ASSERT (SCM_SLOPPY_REALP (z1), z1, SCM_ARG1, sstring); |
f872b822 MD |
4080 | xy->x = SCM_REALPART (z1); |
4081 | } | |
4082 | #endif | |
4083 | } | |
4084 | if (SCM_INUMP (z2)) | |
4085 | xy->y = SCM_INUM (z2); | |
4086 | else | |
4087 | { | |
4088 | #ifdef SCM_BIGDIG | |
4089 | SCM_ASRTGO (SCM_NIMP (z2), badz2); | |
4090 | if (SCM_BIGP (z2)) | |
4091 | xy->y = scm_big2dbl (z2); | |
4092 | else | |
4093 | { | |
4094 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4095 | if (!(SCM_SLOPPY_REALP (z2))) |
f872b822 MD |
4096 | badz2:scm_wta (z2, (char *) SCM_ARG2, sstring); |
4097 | #endif | |
4098 | xy->y = SCM_REALPART (z2); | |
4099 | } | |
4100 | #else | |
4101 | { | |
f3ae5d60 | 4102 | SCM_ASSERT (SCM_SLOPPY_REALP (z2), z2, SCM_ARG2, sstring); |
f872b822 MD |
4103 | xy->y = SCM_REALPART (z2); |
4104 | } | |
4105 | #endif | |
4106 | } | |
0f2d19dd JB |
4107 | } |
4108 | ||
4109 | ||
4110 | ||
4111 | ||
a1ec6916 | 4112 | SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0, |
1bbd0b84 | 4113 | (SCM z1, SCM z2), |
b380b885 | 4114 | "") |
1bbd0b84 | 4115 | #define FUNC_NAME s_scm_sys_expt |
0f2d19dd JB |
4116 | { |
4117 | struct dpair xy; | |
1bbd0b84 | 4118 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4119 | return scm_makdbl (pow (xy.x, xy.y), 0.0); |
0f2d19dd | 4120 | } |
1bbd0b84 | 4121 | #undef FUNC_NAME |
0f2d19dd JB |
4122 | |
4123 | ||
4124 | ||
a1ec6916 | 4125 | SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0, |
1bbd0b84 | 4126 | (SCM z1, SCM z2), |
b380b885 | 4127 | "") |
1bbd0b84 | 4128 | #define FUNC_NAME s_scm_sys_atan2 |
0f2d19dd JB |
4129 | { |
4130 | struct dpair xy; | |
1bbd0b84 | 4131 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4132 | return scm_makdbl (atan2 (xy.x, xy.y), 0.0); |
0f2d19dd | 4133 | } |
1bbd0b84 | 4134 | #undef FUNC_NAME |
0f2d19dd JB |
4135 | |
4136 | ||
4137 | ||
a1ec6916 | 4138 | SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0, |
1bbd0b84 | 4139 | (SCM z1, SCM z2), |
b380b885 | 4140 | "") |
1bbd0b84 | 4141 | #define FUNC_NAME s_scm_make_rectangular |
0f2d19dd JB |
4142 | { |
4143 | struct dpair xy; | |
1bbd0b84 | 4144 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4145 | return scm_makdbl (xy.x, xy.y); |
0f2d19dd | 4146 | } |
1bbd0b84 | 4147 | #undef FUNC_NAME |
0f2d19dd JB |
4148 | |
4149 | ||
4150 | ||
a1ec6916 | 4151 | SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0, |
1bbd0b84 | 4152 | (SCM z1, SCM z2), |
b380b885 | 4153 | "") |
1bbd0b84 | 4154 | #define FUNC_NAME s_scm_make_polar |
0f2d19dd JB |
4155 | { |
4156 | struct dpair xy; | |
1bbd0b84 | 4157 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4158 | return scm_makdbl (xy.x * cos (xy.y), xy.x * sin (xy.y)); |
0f2d19dd | 4159 | } |
1bbd0b84 | 4160 | #undef FUNC_NAME |
0f2d19dd JB |
4161 | |
4162 | ||
4163 | ||
4164 | ||
152f82bf | 4165 | SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part); |
1cc91f1b | 4166 | |
0f2d19dd | 4167 | SCM |
6e8d25a6 | 4168 | scm_real_part (SCM z) |
0f2d19dd | 4169 | { |
f872b822 MD |
4170 | if (SCM_NINUMP (z)) |
4171 | { | |
4172 | #ifdef SCM_BIGDIG | |
4173 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4174 | if (SCM_BIGP (z)) | |
4175 | return z; | |
f3ae5d60 | 4176 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4177 | { |
4178 | badz: | |
152f82bf | 4179 | SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4180 | } |
f872b822 | 4181 | #else |
f3ae5d60 | 4182 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4183 | g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4184 | #endif |
f3ae5d60 | 4185 | if (SCM_SLOPPY_COMPLEXP (z)) |
f872b822 MD |
4186 | return scm_makdbl (SCM_REAL (z), 0.0); |
4187 | } | |
0f2d19dd JB |
4188 | return z; |
4189 | } | |
4190 | ||
4191 | ||
4192 | ||
152f82bf | 4193 | SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part); |
1cc91f1b | 4194 | |
0f2d19dd | 4195 | SCM |
6e8d25a6 | 4196 | scm_imag_part (SCM z) |
0f2d19dd | 4197 | { |
f872b822 MD |
4198 | if (SCM_INUMP (z)) |
4199 | return SCM_INUM0; | |
4200 | #ifdef SCM_BIGDIG | |
4201 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4202 | if (SCM_BIGP (z)) | |
4203 | return SCM_INUM0; | |
f3ae5d60 | 4204 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4205 | { |
4206 | badz: | |
152f82bf | 4207 | SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4208 | } |
f872b822 | 4209 | #else |
f3ae5d60 | 4210 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4211 | g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4212 | #endif |
f3ae5d60 | 4213 | if (SCM_SLOPPY_COMPLEXP (z)) |
f872b822 | 4214 | return scm_makdbl (SCM_IMAG (z), 0.0); |
0f2d19dd JB |
4215 | return scm_flo0; |
4216 | } | |
4217 | ||
4218 | ||
4219 | ||
9de33deb | 4220 | SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude); |
1cc91f1b | 4221 | |
0f2d19dd | 4222 | SCM |
6e8d25a6 | 4223 | scm_magnitude (SCM z) |
0f2d19dd | 4224 | { |
f872b822 MD |
4225 | if (SCM_INUMP (z)) |
4226 | return scm_abs (z); | |
4227 | #ifdef SCM_BIGDIG | |
4228 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4229 | if (SCM_BIGP (z)) | |
4230 | return scm_abs (z); | |
f3ae5d60 | 4231 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4232 | { |
4233 | badz: | |
9de33deb | 4234 | SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4235 | } |
f872b822 | 4236 | #else |
f3ae5d60 | 4237 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
9de33deb | 4238 | g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4239 | #endif |
f3ae5d60 | 4240 | if (SCM_SLOPPY_COMPLEXP (z)) |
0f2d19dd | 4241 | { |
f872b822 MD |
4242 | double i = SCM_IMAG (z), r = SCM_REAL (z); |
4243 | return scm_makdbl (sqrt (i * i + r * r), 0.0); | |
0f2d19dd | 4244 | } |
f872b822 | 4245 | return scm_makdbl (fabs (SCM_REALPART (z)), 0.0); |
0f2d19dd JB |
4246 | } |
4247 | ||
4248 | ||
4249 | ||
4250 | ||
9de33deb | 4251 | SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle); |
1cc91f1b | 4252 | |
0f2d19dd | 4253 | SCM |
6e8d25a6 | 4254 | scm_angle (SCM z) |
0f2d19dd JB |
4255 | { |
4256 | double x, y = 0.0; | |
f872b822 MD |
4257 | if (SCM_INUMP (z)) |
4258 | { | |
4259 | x = (z >= SCM_INUM0) ? 1.0 : -1.0; | |
4260 | goto do_angle; | |
4261 | } | |
4262 | #ifdef SCM_BIGDIG | |
4263 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4264 | if (SCM_BIGP (z)) | |
4265 | { | |
f3ae5d60 | 4266 | x = (SCM_BIGSIGN (z)) ? -1.0 : 1.0; |
f872b822 MD |
4267 | goto do_angle; |
4268 | } | |
f3ae5d60 | 4269 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4270 | { |
4271 | badz: | |
9de33deb | 4272 | SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle); |
f872b822 | 4273 | } |
f872b822 | 4274 | #else |
f3ae5d60 | 4275 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), g_angle, z, SCM_ARG1, s_angle); |
f872b822 | 4276 | #endif |
f3ae5d60 | 4277 | if (SCM_SLOPPY_REALP (z)) |
f872b822 MD |
4278 | { |
4279 | x = SCM_REALPART (z); | |
0f2d19dd JB |
4280 | goto do_angle; |
4281 | } | |
f872b822 MD |
4282 | x = SCM_REAL (z); |
4283 | y = SCM_IMAG (z); | |
0f2d19dd | 4284 | do_angle: |
f872b822 | 4285 | return scm_makdbl (atan2 (y, x), 0.0); |
0f2d19dd JB |
4286 | } |
4287 | ||
4288 | ||
a1ec6916 | 4289 | SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0, |
1bbd0b84 | 4290 | (SCM z), |
b380b885 | 4291 | "") |
1bbd0b84 | 4292 | #define FUNC_NAME s_scm_inexact_to_exact |
0f2d19dd | 4293 | { |
f872b822 MD |
4294 | if (SCM_INUMP (z)) |
4295 | return z; | |
4296 | #ifdef SCM_BIGDIG | |
4297 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4298 | if (SCM_BIGP (z)) | |
4299 | return z; | |
4300 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4301 | if (!(SCM_SLOPPY_REALP (z))) |
f872b822 MD |
4302 | { |
4303 | badz: | |
4638e087 | 4304 | SCM_WTA (1, z); |
f872b822 MD |
4305 | } |
4306 | #endif | |
4307 | #else | |
3b3b36dd | 4308 | SCM_VALIDATE_REAL (1,z); |
f872b822 MD |
4309 | #endif |
4310 | #ifdef SCM_BIGDIG | |
0f2d19dd | 4311 | { |
f872b822 MD |
4312 | double u = floor (SCM_REALPART (z) + 0.5); |
4313 | if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM)) | |
4314 | { | |
4315 | /* Negation is a workaround for HP700 cc bug */ | |
4316 | SCM ans = SCM_MAKINUM ((long) u); | |
4317 | if (SCM_INUM (ans) == (long) u) | |
4318 | return ans; | |
4319 | } | |
e6f3ef58 | 4320 | SCM_ASRTGO (isfinite (u), badz); /* problem? */ |
f872b822 | 4321 | return scm_dbl2big (u); |
0f2d19dd | 4322 | } |
f872b822 MD |
4323 | #else |
4324 | return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5)); | |
4325 | #endif | |
0f2d19dd | 4326 | } |
1bbd0b84 | 4327 | #undef FUNC_NAME |
0f2d19dd JB |
4328 | |
4329 | ||
4330 | ||
0f2d19dd | 4331 | #ifdef SCM_BIGDIG |
0f2d19dd | 4332 | /* d must be integer */ |
1cc91f1b | 4333 | |
0f2d19dd | 4334 | SCM |
6e8d25a6 | 4335 | scm_dbl2big (double d) |
0f2d19dd JB |
4336 | { |
4337 | scm_sizet i = 0; | |
4338 | long c; | |
4339 | SCM_BIGDIG *digits; | |
4340 | SCM ans; | |
f872b822 MD |
4341 | double u = (d < 0) ? -d : d; |
4342 | while (0 != floor (u)) | |
4343 | { | |
4344 | u /= SCM_BIGRAD; | |
4345 | i++; | |
4346 | } | |
4347 | ans = scm_mkbig (i, d < 0); | |
4348 | digits = SCM_BDIGITS (ans); | |
4349 | while (i--) | |
4350 | { | |
4351 | u *= SCM_BIGRAD; | |
4352 | c = floor (u); | |
4353 | u -= c; | |
4354 | digits[i] = c; | |
4355 | } | |
cf7c17e9 | 4356 | #ifndef SCM_RECKLESS |
e1724d20 | 4357 | if (u != 0) |
52859adf | 4358 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4359 | #endif |
0f2d19dd JB |
4360 | return ans; |
4361 | } | |
4362 | ||
4363 | ||
4364 | ||
0f2d19dd | 4365 | double |
6e8d25a6 | 4366 | scm_big2dbl (SCM b) |
0f2d19dd JB |
4367 | { |
4368 | double ans = 0.0; | |
f872b822 MD |
4369 | scm_sizet i = SCM_NUMDIGS (b); |
4370 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4371 | while (i--) | |
4372 | ans = digits[i] + SCM_BIGRAD * ans; | |
f3ae5d60 MD |
4373 | if (SCM_BIGSIGN (b)) |
4374 | return - ans; | |
0f2d19dd JB |
4375 | return ans; |
4376 | } | |
f872b822 | 4377 | #endif |
0f2d19dd | 4378 | |
1cc91f1b | 4379 | |
0f2d19dd | 4380 | SCM |
6e8d25a6 | 4381 | scm_long2num (long sl) |
0f2d19dd | 4382 | { |
f872b822 MD |
4383 | if (!SCM_FIXABLE (sl)) |
4384 | { | |
0f2d19dd | 4385 | #ifdef SCM_BIGDIG |
f872b822 | 4386 | return scm_long2big (sl); |
0f2d19dd | 4387 | #else |
f872b822 | 4388 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4389 | #endif |
4390 | } | |
4391 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4392 | } |
4393 | ||
4394 | ||
5c11cc9d | 4395 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4396 | |
0f2d19dd | 4397 | SCM |
6e8d25a6 | 4398 | scm_long_long2num (long_long sl) |
0f2d19dd | 4399 | { |
f872b822 MD |
4400 | if (!SCM_FIXABLE (sl)) |
4401 | { | |
0f2d19dd | 4402 | #ifdef SCM_BIGDIG |
f872b822 | 4403 | return scm_long_long2big (sl); |
0f2d19dd | 4404 | #else |
f872b822 | 4405 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4406 | #endif |
4407 | } | |
4408 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4409 | } |
4410 | #endif | |
4411 | ||
4412 | ||
1cc91f1b | 4413 | |
0f2d19dd | 4414 | SCM |
6e8d25a6 | 4415 | scm_ulong2num (unsigned long sl) |
0f2d19dd | 4416 | { |
f872b822 MD |
4417 | if (!SCM_POSFIXABLE (sl)) |
4418 | { | |
0f2d19dd | 4419 | #ifdef SCM_BIGDIG |
f872b822 | 4420 | return scm_ulong2big (sl); |
0f2d19dd | 4421 | #else |
f872b822 | 4422 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4423 | #endif |
4424 | } | |
4425 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4426 | } |
4427 | ||
1cc91f1b | 4428 | |
0f2d19dd | 4429 | long |
6e8d25a6 | 4430 | scm_num2long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4431 | { |
4432 | long res; | |
5c11cc9d | 4433 | |
f872b822 | 4434 | if (SCM_INUMP (num)) |
0f2d19dd | 4435 | { |
f872b822 | 4436 | res = SCM_INUM (num); |
0f2d19dd JB |
4437 | return res; |
4438 | } | |
5c11cc9d | 4439 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4440 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4441 | { |
5c11cc9d GH |
4442 | volatile double u = SCM_REALPART (num); |
4443 | ||
0f2d19dd | 4444 | res = u; |
5c11cc9d GH |
4445 | if (res != u) |
4446 | goto out_of_range; | |
4447 | return res; | |
0f2d19dd | 4448 | } |
0f2d19dd | 4449 | #ifdef SCM_BIGDIG |
f872b822 MD |
4450 | if (SCM_BIGP (num)) |
4451 | { | |
5c11cc9d | 4452 | unsigned long oldres = 0; |
f872b822 | 4453 | scm_sizet l; |
5c11cc9d GH |
4454 | /* can't use res directly in case num is -2^31. */ |
4455 | unsigned long pos_res = 0; | |
4456 | ||
f872b822 MD |
4457 | for (l = SCM_NUMDIGS (num); l--;) |
4458 | { | |
5c11cc9d GH |
4459 | pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l]; |
4460 | /* check for overflow. */ | |
4461 | if (pos_res < oldres) | |
4462 | goto out_of_range; | |
4463 | oldres = pos_res; | |
f872b822 | 4464 | } |
f3ae5d60 | 4465 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4466 | { |
f3ae5d60 MD |
4467 | res = - pos_res; |
4468 | if (res > 0) | |
5c11cc9d GH |
4469 | goto out_of_range; |
4470 | } | |
f872b822 | 4471 | else |
5c11cc9d | 4472 | { |
f3ae5d60 MD |
4473 | res = pos_res; |
4474 | if (res < 0) | |
5c11cc9d GH |
4475 | goto out_of_range; |
4476 | } | |
4477 | return res; | |
f872b822 | 4478 | } |
0f2d19dd | 4479 | #endif |
5c11cc9d GH |
4480 | wrong_type_arg: |
4481 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4482 | out_of_range: | |
4483 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4484 | } |
4485 | ||
4486 | ||
4487 | ||
5c11cc9d | 4488 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4489 | |
0f2d19dd | 4490 | long_long |
6e8d25a6 | 4491 | scm_num2long_long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4492 | { |
4493 | long_long res; | |
5c11cc9d | 4494 | |
f872b822 MD |
4495 | if (SCM_INUMP (num)) |
4496 | { | |
5c11cc9d | 4497 | res = SCM_INUM (num); |
0f2d19dd JB |
4498 | return res; |
4499 | } | |
5c11cc9d | 4500 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4501 | if (SCM_SLOPPY_REALP (num)) |
f872b822 MD |
4502 | { |
4503 | double u = SCM_REALPART (num); | |
5c11cc9d GH |
4504 | |
4505 | res = u; | |
4506 | if ((res < 0 && u > 0) || (res > 0 && u < 0)) /* check for overflow. */ | |
4507 | goto out_of_range; | |
4508 | ||
4509 | return res; | |
f872b822 | 4510 | } |
0f2d19dd | 4511 | #ifdef SCM_BIGDIG |
f872b822 MD |
4512 | if (SCM_BIGP (num)) |
4513 | { | |
5c11cc9d GH |
4514 | unsigned long long oldres = 0; |
4515 | scm_sizet l; | |
4516 | /* can't use res directly in case num is -2^63. */ | |
4517 | unsigned long long pos_res = 0; | |
4518 | ||
4519 | for (l = SCM_NUMDIGS (num); l--;) | |
4520 | { | |
4521 | pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4522 | /* check for overflow. */ | |
4523 | if (pos_res < oldres) | |
4524 | goto out_of_range; | |
4525 | oldres = pos_res; | |
4526 | } | |
f3ae5d60 | 4527 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4528 | { |
f3ae5d60 MD |
4529 | res = - pos_res; |
4530 | if (res > 0) | |
5c11cc9d GH |
4531 | goto out_of_range; |
4532 | } | |
4533 | else | |
4534 | { | |
f3ae5d60 MD |
4535 | res = pos_res; |
4536 | if (res < 0) | |
5c11cc9d GH |
4537 | goto out_of_range; |
4538 | } | |
f872b822 MD |
4539 | return res; |
4540 | } | |
0f2d19dd | 4541 | #endif |
5c11cc9d GH |
4542 | wrong_type_arg: |
4543 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4544 | out_of_range: | |
4545 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4546 | } |
4547 | #endif | |
4548 | ||
4549 | ||
1cc91f1b | 4550 | |
0f2d19dd | 4551 | unsigned long |
6e8d25a6 | 4552 | scm_num2ulong (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4553 | { |
4554 | unsigned long res; | |
5c11cc9d | 4555 | |
f872b822 | 4556 | if (SCM_INUMP (num)) |
0f2d19dd | 4557 | { |
5c11cc9d GH |
4558 | if (SCM_INUM (num) < 0) |
4559 | goto out_of_range; | |
4560 | res = SCM_INUM (num); | |
0f2d19dd JB |
4561 | return res; |
4562 | } | |
5c11cc9d | 4563 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4564 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4565 | { |
f872b822 | 4566 | double u = SCM_REALPART (num); |
5c11cc9d GH |
4567 | |
4568 | res = u; | |
4569 | if (res != u) | |
4570 | goto out_of_range; | |
4571 | return res; | |
0f2d19dd | 4572 | } |
0f2d19dd | 4573 | #ifdef SCM_BIGDIG |
f872b822 MD |
4574 | if (SCM_BIGP (num)) |
4575 | { | |
5c11cc9d | 4576 | unsigned long oldres = 0; |
f872b822 | 4577 | scm_sizet l; |
5c11cc9d | 4578 | |
f872b822 | 4579 | res = 0; |
f872b822 MD |
4580 | for (l = SCM_NUMDIGS (num); l--;) |
4581 | { | |
4582 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4583 | if (res < oldres) | |
5c11cc9d | 4584 | goto out_of_range; |
f872b822 MD |
4585 | oldres = res; |
4586 | } | |
4587 | return res; | |
4588 | } | |
0f2d19dd | 4589 | #endif |
5c11cc9d GH |
4590 | wrong_type_arg: |
4591 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4592 | out_of_range: | |
4593 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4594 | } |
4595 | ||
4596 | ||
f872b822 | 4597 | #ifndef DBL_DIG |
f872b822 | 4598 | static void |
6e8d25a6 | 4599 | add1 (double f, double *fsum) |
0f2d19dd JB |
4600 | { |
4601 | *fsum = f + 1.0; | |
4602 | } | |
f872b822 | 4603 | #endif |
0f2d19dd JB |
4604 | |
4605 | ||
1cc91f1b | 4606 | |
0f2d19dd JB |
4607 | void |
4608 | scm_init_numbers () | |
0f2d19dd | 4609 | { |
f3ae5d60 MD |
4610 | scm_add_feature ("complex"); |
4611 | scm_add_feature ("inexact"); | |
4612 | SCM_NEWREAL (scm_flo0, 0.0); | |
f872b822 | 4613 | #ifdef DBL_DIG |
0f2d19dd | 4614 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 4615 | #else |
0f2d19dd JB |
4616 | { /* determine floating point precision */ |
4617 | double f = 0.1; | |
f872b822 MD |
4618 | double fsum = 1.0 + f; |
4619 | while (fsum != 1.0) | |
4620 | { | |
4621 | f /= 10.0; | |
4622 | if (++scm_dblprec > 20) | |
4623 | break; | |
4624 | add1 (f, &fsum); | |
4625 | } | |
4626 | scm_dblprec = scm_dblprec - 1; | |
0f2d19dd | 4627 | } |
f872b822 | 4628 | #endif /* DBL_DIG */ |
0f2d19dd JB |
4629 | #include "numbers.x" |
4630 | } |