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f872b822 MD |
1 | /* Copyright (C) 1995,1996,1997,1998 Free Software Foundation, Inc. |
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. */ |
0f2d19dd JB |
41 | \f |
42 | ||
43 | #include <stdio.h> | |
44 | #include <math.h> | |
45 | #include "_scm.h" | |
20e6290e JB |
46 | #include "genio.h" |
47 | #include "unif.h" | |
0f2d19dd | 48 | |
20e6290e | 49 | #include "numbers.h" |
0f2d19dd JB |
50 | \f |
51 | #define DIGITS '0':case '1':case '2':case '3':case '4':\ | |
52 | case '5':case '6':case '7':case '8':case '9' | |
53 | ||
54 | ||
55 | /* IS_INF tests its floating point number for infiniteness | |
56 | */ | |
57 | #ifndef IS_INF | |
f872b822 | 58 | #define IS_INF(x) ((x) == (x) / 2) |
0f2d19dd JB |
59 | #endif |
60 | ||
e6f3ef58 MD |
61 | /* Return true if X is not infinite and is not a NaN |
62 | */ | |
63 | #ifndef isfinite | |
64 | #define isfinite(x) (!IS_INF (x) && (x) == (x)) | |
65 | #endif | |
66 | ||
0f2d19dd JB |
67 | /* MAXEXP is the maximum double precision expontent |
68 | * FLTMAX is less than or scm_equal the largest single precision float | |
69 | */ | |
70 | ||
71 | #ifdef SCM_FLOATS | |
f872b822 MD |
72 | #ifdef STDC_HEADERS |
73 | #ifndef GO32 | |
74 | #include <float.h> | |
75 | #endif /* ndef GO32 */ | |
76 | #endif /* def STDC_HEADERS */ | |
77 | #ifdef DBL_MAX_10_EXP | |
78 | #define MAXEXP DBL_MAX_10_EXP | |
79 | #else | |
80 | #define MAXEXP 308 /* IEEE doubles */ | |
81 | #endif /* def DBL_MAX_10_EXP */ | |
82 | #ifdef FLT_MAX | |
83 | #define FLTMAX FLT_MAX | |
84 | #else | |
85 | #define FLTMAX 1e+23 | |
86 | #endif /* def FLT_MAX */ | |
0f2d19dd | 87 | #endif /* def SCM_FLOATS */ |
0f2d19dd JB |
88 | \f |
89 | ||
f872b822 MD |
90 | |
91 | SCM_PROC (s_exact_p, "exact?", 1, 0, 0, scm_exact_p); | |
1cc91f1b | 92 | |
0f2d19dd | 93 | SCM |
f872b822 | 94 | scm_exact_p (x) |
0f2d19dd | 95 | SCM x; |
0f2d19dd | 96 | { |
f872b822 MD |
97 | if (SCM_INUMP (x)) |
98 | return SCM_BOOL_T; | |
0f2d19dd | 99 | #ifdef SCM_BIGDIG |
f872b822 MD |
100 | if (SCM_NIMP (x) && SCM_BIGP (x)) |
101 | return SCM_BOOL_T; | |
0f2d19dd JB |
102 | #endif |
103 | return SCM_BOOL_F; | |
104 | } | |
105 | ||
f872b822 | 106 | SCM_PROC (s_odd_p, "odd?", 1, 0, 0, scm_odd_p); |
1cc91f1b | 107 | |
0f2d19dd | 108 | SCM |
f872b822 | 109 | scm_odd_p (n) |
0f2d19dd | 110 | SCM n; |
0f2d19dd JB |
111 | { |
112 | #ifdef SCM_BIGDIG | |
f872b822 MD |
113 | if (SCM_NINUMP (n)) |
114 | { | |
115 | SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_odd_p); | |
116 | return (1 & SCM_BDIGITS (n)[0]) ? SCM_BOOL_T : SCM_BOOL_F; | |
117 | } | |
0f2d19dd | 118 | #else |
f872b822 | 119 | SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_odd_p); |
0f2d19dd | 120 | #endif |
f872b822 | 121 | return (4 & (int) n) ? SCM_BOOL_T : SCM_BOOL_F; |
0f2d19dd JB |
122 | } |
123 | ||
f872b822 | 124 | SCM_PROC (s_even_p, "even?", 1, 0, 0, scm_even_p); |
1cc91f1b | 125 | |
0f2d19dd | 126 | SCM |
f872b822 | 127 | scm_even_p (n) |
0f2d19dd | 128 | SCM n; |
0f2d19dd JB |
129 | { |
130 | #ifdef SCM_BIGDIG | |
f872b822 MD |
131 | if (SCM_NINUMP (n)) |
132 | { | |
133 | SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_even_p); | |
134 | return (1 & SCM_BDIGITS (n)[0]) ? SCM_BOOL_F : SCM_BOOL_T; | |
135 | } | |
0f2d19dd | 136 | #else |
f872b822 | 137 | SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_even_p); |
0f2d19dd | 138 | #endif |
f872b822 | 139 | return (4 & (int) n) ? SCM_BOOL_F : SCM_BOOL_T; |
0f2d19dd JB |
140 | } |
141 | ||
f872b822 | 142 | SCM_PROC (s_abs, "abs", 1, 0, 0, scm_abs); |
1cc91f1b | 143 | |
0f2d19dd | 144 | SCM |
f872b822 | 145 | scm_abs (x) |
0f2d19dd | 146 | SCM x; |
0f2d19dd JB |
147 | { |
148 | #ifdef SCM_BIGDIG | |
f872b822 MD |
149 | if (SCM_NINUMP (x)) |
150 | { | |
151 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_abs); | |
152 | if (SCM_TYP16 (x) == scm_tc16_bigpos) | |
153 | return x; | |
154 | return scm_copybig (x, 0); | |
155 | } | |
0f2d19dd | 156 | #else |
f872b822 | 157 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_abs); |
0f2d19dd | 158 | #endif |
f872b822 MD |
159 | if (SCM_INUM (x) >= 0) |
160 | return x; | |
161 | x = - SCM_INUM (x); | |
162 | if (!SCM_POSFIXABLE (x)) | |
0f2d19dd | 163 | #ifdef SCM_BIGDIG |
f872b822 | 164 | return scm_long2big (x); |
0f2d19dd | 165 | #else |
52859adf | 166 | scm_num_overflow (s_abs); |
0f2d19dd | 167 | #endif |
f872b822 | 168 | return SCM_MAKINUM (x); |
0f2d19dd JB |
169 | } |
170 | ||
f872b822 | 171 | SCM_PROC (s_quotient, "quotient", 2, 0, 0, scm_quotient); |
1cc91f1b | 172 | |
0f2d19dd | 173 | SCM |
f872b822 | 174 | scm_quotient (x, y) |
0f2d19dd JB |
175 | SCM x; |
176 | SCM y; | |
0f2d19dd JB |
177 | { |
178 | register long z; | |
179 | #ifdef SCM_BIGDIG | |
f872b822 MD |
180 | if (SCM_NINUMP (x)) |
181 | { | |
182 | long w; | |
183 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_quotient); | |
184 | if (SCM_NINUMP (y)) | |
185 | { | |
186 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
187 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
188 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
189 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
190 | } | |
191 | z = SCM_INUM (y); | |
192 | SCM_ASRTGO (z, ov); | |
193 | if (1 == z) | |
194 | return x; | |
195 | if (z < 0) | |
196 | z = -z; | |
197 | if (z < SCM_BIGRAD) | |
198 | { | |
199 | w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
200 | scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), (SCM_BIGDIG) z); | |
201 | return scm_normbig (w); | |
202 | } | |
0f2d19dd | 203 | #ifndef SCM_DIGSTOOBIG |
f872b822 MD |
204 | w = scm_pseudolong (z); |
205 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
206 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
207 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
0f2d19dd | 208 | #else |
f872b822 MD |
209 | { |
210 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
211 | scm_longdigs (z, zdigs); | |
212 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
213 | zdigs, SCM_DIGSPERLONG, | |
214 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
215 | } | |
216 | #endif | |
0f2d19dd | 217 | } |
f872b822 MD |
218 | if (SCM_NINUMP (y)) |
219 | { | |
220 | #ifndef SCM_RECKLESS | |
221 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
222 | { | |
223 | bady: | |
224 | scm_wta (y, (char *) SCM_ARG2, s_quotient); | |
225 | } | |
0f2d19dd | 226 | #endif |
f872b822 MD |
227 | return SCM_INUM0; |
228 | } | |
0f2d19dd | 229 | #else |
f872b822 MD |
230 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_quotient); |
231 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_quotient); | |
0f2d19dd | 232 | #endif |
f872b822 MD |
233 | if ((z = SCM_INUM (y)) == 0) |
234 | { | |
235 | ov: | |
236 | scm_num_overflow (s_quotient); | |
237 | } | |
238 | z = SCM_INUM (x) / z; | |
0f2d19dd JB |
239 | #ifdef BADIVSGNS |
240 | { | |
f872b822 MD |
241 | #if (__TURBOC__ == 1) |
242 | long t = ((y < 0) ? -SCM_INUM (x) : SCM_INUM (x)) % SCM_INUM (y); | |
0f2d19dd | 243 | #else |
f872b822 | 244 | long t = SCM_INUM (x) % SCM_INUM (y); |
0f2d19dd | 245 | #endif |
f872b822 | 246 | if (t == 0); |
0f2d19dd | 247 | else if (t < 0) |
f872b822 MD |
248 | if (x < 0); |
249 | else | |
250 | z--; | |
251 | else if (x < 0) | |
252 | z++; | |
0f2d19dd JB |
253 | } |
254 | #endif | |
f872b822 | 255 | if (!SCM_FIXABLE (z)) |
0f2d19dd | 256 | #ifdef SCM_BIGDIG |
f872b822 | 257 | return scm_long2big (z); |
0f2d19dd | 258 | #else |
52859adf | 259 | scm_num_overflow (s_quotient); |
0f2d19dd | 260 | #endif |
f872b822 | 261 | return SCM_MAKINUM (z); |
0f2d19dd JB |
262 | } |
263 | ||
f872b822 | 264 | SCM_PROC (s_remainder, "remainder", 2, 0, 0, scm_remainder); |
1cc91f1b | 265 | |
0f2d19dd | 266 | SCM |
f872b822 | 267 | scm_remainder (x, y) |
0f2d19dd JB |
268 | SCM x; |
269 | SCM y; | |
0f2d19dd JB |
270 | { |
271 | register long z; | |
272 | #ifdef SCM_BIGDIG | |
f872b822 MD |
273 | if (SCM_NINUMP (x)) |
274 | { | |
275 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_remainder); | |
276 | if (SCM_NINUMP (y)) | |
277 | { | |
278 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
279 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
280 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
281 | SCM_BIGSIGN (x), 0); | |
282 | } | |
283 | if (!(z = SCM_INUM (y))) | |
284 | goto ov; | |
285 | return scm_divbigint (x, z, SCM_BIGSIGN (x), 0); | |
286 | } | |
287 | if (SCM_NINUMP (y)) | |
288 | { | |
289 | #ifndef SCM_RECKLESS | |
290 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
291 | { | |
292 | bady: | |
293 | scm_wta (y, (char *) SCM_ARG2, s_remainder); | |
294 | } | |
295 | #endif | |
296 | return x; | |
0f2d19dd | 297 | } |
0f2d19dd | 298 | #else |
f872b822 MD |
299 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_remainder); |
300 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_remainder); | |
0f2d19dd | 301 | #endif |
f872b822 MD |
302 | if (!(z = SCM_INUM (y))) |
303 | { | |
304 | ov: | |
305 | scm_num_overflow (s_remainder); | |
306 | } | |
307 | #if (__TURBOC__ == 1) | |
308 | if (z < 0) | |
309 | z = -z; | |
0f2d19dd | 310 | #endif |
f872b822 | 311 | z = SCM_INUM (x) % z; |
0f2d19dd | 312 | #ifdef BADIVSGNS |
f872b822 | 313 | if (!z); |
0f2d19dd | 314 | else if (z < 0) |
f872b822 MD |
315 | if (x < 0); |
316 | else | |
317 | z += SCM_INUM (y); | |
318 | else if (x < 0) | |
319 | z -= SCM_INUM (y); | |
0f2d19dd | 320 | #endif |
f872b822 | 321 | return SCM_MAKINUM (z); |
0f2d19dd JB |
322 | } |
323 | ||
f872b822 | 324 | SCM_PROC (s_modulo, "modulo", 2, 0, 0, scm_modulo); |
1cc91f1b | 325 | |
0f2d19dd | 326 | SCM |
f872b822 | 327 | scm_modulo (x, y) |
0f2d19dd JB |
328 | SCM x; |
329 | SCM y; | |
0f2d19dd JB |
330 | { |
331 | register long yy, z; | |
332 | #ifdef SCM_BIGDIG | |
f872b822 MD |
333 | if (SCM_NINUMP (x)) |
334 | { | |
335 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_modulo); | |
336 | if (SCM_NINUMP (y)) | |
337 | { | |
338 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
339 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
340 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
341 | SCM_BIGSIGN (y), | |
342 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
343 | } | |
344 | if (!(z = SCM_INUM (y))) | |
345 | goto ov; | |
346 | return scm_divbigint (x, z, y < 0, | |
347 | (SCM_BIGSIGN (x) ? (y > 0) : (y < 0)) ? 1 : 0); | |
348 | } | |
349 | if (SCM_NINUMP (y)) | |
350 | { | |
351 | #ifndef SCM_RECKLESS | |
352 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
353 | { | |
354 | bady: | |
355 | scm_wta (y, (char *) SCM_ARG2, s_modulo); | |
356 | } | |
357 | #endif | |
358 | return (SCM_BIGSIGN (y) ? (x > 0) : (x < 0)) ? scm_sum (x, y) : x; | |
0f2d19dd | 359 | } |
0f2d19dd | 360 | #else |
f872b822 MD |
361 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_modulo); |
362 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_modulo); | |
0f2d19dd | 363 | #endif |
f872b822 MD |
364 | if (!(yy = SCM_INUM (y))) |
365 | { | |
366 | ov: | |
367 | scm_num_overflow (s_modulo); | |
368 | } | |
0f2d19dd | 369 | #if (__TURBOC__==1) |
f872b822 MD |
370 | z = SCM_INUM (x); |
371 | z = ((yy < 0) ? -z : z) % yy; | |
0f2d19dd | 372 | #else |
f872b822 | 373 | z = SCM_INUM (x) % yy; |
0f2d19dd | 374 | #endif |
f872b822 | 375 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); |
0f2d19dd JB |
376 | } |
377 | ||
378 | SCM_PROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd); | |
1cc91f1b | 379 | |
0f2d19dd | 380 | SCM |
f872b822 | 381 | scm_gcd (x, y) |
0f2d19dd JB |
382 | SCM x; |
383 | SCM y; | |
0f2d19dd JB |
384 | { |
385 | register long u, v, k, t; | |
f872b822 MD |
386 | if (SCM_UNBNDP (y)) |
387 | return SCM_UNBNDP (x) ? SCM_INUM0 : x; | |
0f2d19dd JB |
388 | tailrec: |
389 | #ifdef SCM_BIGDIG | |
f872b822 MD |
390 | if (SCM_NINUMP (x)) |
391 | { | |
392 | big_gcd: | |
393 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_gcd); | |
394 | if (SCM_BIGSIGN (x)) | |
395 | x = scm_copybig (x, 0); | |
396 | newy: | |
397 | if (SCM_NINUMP (y)) | |
398 | { | |
399 | SCM_ASSERT (SCM_NIMP (y) && SCM_BIGP (y), y, SCM_ARG2, s_gcd); | |
400 | if (SCM_BIGSIGN (y)) | |
401 | y = scm_copybig (y, 0); | |
402 | switch (scm_bigcomp (x, y)) | |
403 | { | |
404 | case -1: | |
405 | swaprec: | |
406 | t = scm_remainder (x, y); | |
407 | x = y; | |
408 | y = t; | |
409 | goto tailrec; | |
410 | case 0: | |
411 | return x; | |
412 | case 1: | |
413 | y = scm_remainder (y, x); | |
414 | goto newy; | |
415 | } | |
416 | /* instead of the switch, we could just | |
417 | return scm_gcd (y, scm_modulo (x, y)); */ | |
418 | } | |
419 | if (SCM_INUM0 == y) | |
420 | return x; | |
421 | goto swaprec; | |
0f2d19dd | 422 | } |
f872b822 MD |
423 | if (SCM_NINUMP (y)) |
424 | { | |
425 | t = x; | |
426 | x = y; | |
427 | y = t; | |
428 | goto big_gcd; | |
429 | } | |
430 | #else | |
431 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_gcd); | |
432 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_gcd); | |
433 | #endif | |
434 | u = SCM_INUM (x); | |
435 | if (u < 0) | |
436 | u = -u; | |
437 | v = SCM_INUM (y); | |
438 | if (v < 0) | |
439 | v = -v; | |
440 | else if (0 == v) | |
441 | goto getout; | |
442 | if (0 == u) | |
443 | { | |
444 | u = v; | |
445 | goto getout; | |
446 | } | |
447 | for (k = 1; !(1 & ((int) u | (int) v)); k <<= 1, u >>= 1, v >>= 1); | |
448 | if (1 & (int) u) | |
449 | t = -v; | |
450 | else | |
451 | { | |
452 | t = u; | |
453 | b3: | |
454 | t = SCM_SRS (t, 1); | |
455 | } | |
456 | if (!(1 & (int) t)) | |
457 | goto b3; | |
458 | if (t > 0) | |
459 | u = t; | |
460 | else | |
461 | v = -t; | |
462 | if ((t = u - v)) | |
463 | goto b3; | |
464 | u = u * k; | |
0f2d19dd | 465 | getout: |
f872b822 | 466 | if (!SCM_POSFIXABLE (u)) |
0f2d19dd | 467 | #ifdef SCM_BIGDIG |
f872b822 | 468 | return scm_long2big (u); |
0f2d19dd | 469 | #else |
52859adf | 470 | scm_num_overflow (s_gcd); |
0f2d19dd | 471 | #endif |
f872b822 | 472 | return SCM_MAKINUM (u); |
0f2d19dd JB |
473 | } |
474 | ||
475 | SCM_PROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm); | |
1cc91f1b | 476 | |
0f2d19dd | 477 | SCM |
f872b822 | 478 | scm_lcm (n1, n2) |
0f2d19dd JB |
479 | SCM n1; |
480 | SCM n2; | |
0f2d19dd JB |
481 | { |
482 | SCM d; | |
f872b822 MD |
483 | if (SCM_UNBNDP (n2)) |
484 | { | |
485 | n2 = SCM_MAKINUM (1L); | |
486 | if (SCM_UNBNDP (n1)) | |
487 | return n2; | |
488 | } | |
489 | d = scm_gcd (n1, n2); | |
490 | if (SCM_INUM0 == d) | |
491 | return d; | |
492 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
0f2d19dd JB |
493 | } |
494 | ||
495 | #ifndef SCM_BIGDIG | |
f872b822 MD |
496 | #ifndef SCM_FLOATS |
497 | #define scm_long2num SCM_MAKINUM | |
498 | #endif | |
0f2d19dd JB |
499 | #endif |
500 | ||
501 | #ifndef scm_long2num | |
502 | SCM_PROC1 (s_logand, "logand", scm_tc7_asubr, scm_logand); | |
1cc91f1b | 503 | |
0f2d19dd | 504 | SCM |
f872b822 | 505 | scm_logand (n1, n2) |
0f2d19dd JB |
506 | SCM n1; |
507 | SCM n2; | |
0f2d19dd | 508 | { |
f872b822 | 509 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
510 | { |
511 | if (SCM_UNBNDP (n1)) | |
512 | return SCM_MAKINUM (-1); | |
513 | return n1; | |
514 | } | |
f872b822 MD |
515 | return scm_ulong2num (scm_num2ulong (n1, (char *) SCM_ARG1, s_logand) |
516 | & scm_num2ulong (n2, (char *) SCM_ARG2, s_logand)); | |
0f2d19dd JB |
517 | } |
518 | ||
519 | SCM_PROC1 (s_logior, "logior", scm_tc7_asubr, scm_logior); | |
1cc91f1b | 520 | |
0f2d19dd | 521 | SCM |
f872b822 | 522 | scm_logior (n1, n2) |
0f2d19dd JB |
523 | SCM n1; |
524 | SCM n2; | |
0f2d19dd | 525 | { |
f872b822 | 526 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
527 | { |
528 | if (SCM_UNBNDP (n1)) | |
529 | return SCM_INUM0; | |
530 | return n1; | |
531 | } | |
f872b822 MD |
532 | return scm_ulong2num (scm_num2ulong (n1, (char *) SCM_ARG1, s_logior) |
533 | | scm_num2ulong (n2, (char *) SCM_ARG2, s_logior)); | |
0f2d19dd JB |
534 | } |
535 | ||
536 | SCM_PROC1 (s_logxor, "logxor", scm_tc7_asubr, scm_logxor); | |
1cc91f1b | 537 | |
0f2d19dd | 538 | SCM |
f872b822 | 539 | scm_logxor (n1, n2) |
0f2d19dd JB |
540 | SCM n1; |
541 | SCM n2; | |
0f2d19dd | 542 | { |
f872b822 | 543 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
544 | { |
545 | if (SCM_UNBNDP (n1)) | |
546 | return SCM_INUM0; | |
547 | return n1; | |
548 | } | |
f872b822 MD |
549 | return scm_ulong2num (scm_num2ulong (n1, (char *) SCM_ARG1, s_logxor) |
550 | ^ scm_num2ulong (n2, (char *) SCM_ARG2, s_logxor)); | |
0f2d19dd JB |
551 | } |
552 | ||
f872b822 | 553 | SCM_PROC (s_logtest, "logtest", 2, 0, 0, scm_logtest); |
1cc91f1b | 554 | |
0f2d19dd | 555 | SCM |
f872b822 | 556 | scm_logtest (n1, n2) |
0f2d19dd JB |
557 | SCM n1; |
558 | SCM n2; | |
0f2d19dd | 559 | { |
f872b822 MD |
560 | return ((scm_num2ulong (n1, (char *) SCM_ARG1, s_logtest) |
561 | & scm_num2ulong (n2, (char *) SCM_ARG2, s_logtest)) | |
0f2d19dd JB |
562 | ? SCM_BOOL_T : SCM_BOOL_F); |
563 | } | |
564 | ||
565 | ||
f872b822 | 566 | SCM_PROC (s_logbit_p, "logbit?", 2, 0, 0, scm_logbit_p); |
1cc91f1b | 567 | |
0f2d19dd | 568 | SCM |
f872b822 | 569 | scm_logbit_p (n1, n2) |
0f2d19dd JB |
570 | SCM n1; |
571 | SCM n2; | |
0f2d19dd | 572 | { |
f872b822 MD |
573 | return (((1 << scm_num2long (n1, (char *) SCM_ARG1, s_logtest)) |
574 | & scm_num2ulong (n2, (char *) SCM_ARG2, s_logtest)) | |
0f2d19dd JB |
575 | ? SCM_BOOL_T : SCM_BOOL_F); |
576 | } | |
577 | ||
578 | #else | |
579 | ||
580 | SCM_PROC1 (s_logand, "logand", scm_tc7_asubr, scm_logand); | |
1cc91f1b | 581 | |
0f2d19dd | 582 | SCM |
f872b822 | 583 | scm_logand (n1, n2) |
0f2d19dd JB |
584 | SCM n1; |
585 | SCM n2; | |
0f2d19dd | 586 | { |
f872b822 | 587 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
588 | { |
589 | if (SCM_UNBNDP (n1)) | |
590 | return SCM_MAKINUM (-1); | |
591 | return n1; | |
592 | } | |
f872b822 | 593 | return SCM_MAKINUM (SCM_INUM (n1) & SCM_INUM (n2)); |
0f2d19dd JB |
594 | } |
595 | ||
596 | SCM_PROC1 (s_logior, "logior", scm_tc7_asubr, scm_logior); | |
1cc91f1b | 597 | |
0f2d19dd | 598 | SCM |
f872b822 | 599 | scm_logior (n1, n2) |
0f2d19dd JB |
600 | SCM n1; |
601 | SCM n2; | |
0f2d19dd | 602 | { |
f872b822 | 603 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
604 | { |
605 | if (SCM_UNBNDP (n1)) | |
606 | return SCM_INUM0; | |
607 | return n1; | |
608 | } | |
f872b822 | 609 | return SCM_MAKINUM (SCM_INUM (n1) | SCM_INUM (n2)); |
0f2d19dd JB |
610 | } |
611 | ||
612 | SCM_PROC1 (s_logxor, "logxor", scm_tc7_asubr, scm_logxor); | |
1cc91f1b | 613 | |
0f2d19dd | 614 | SCM |
f872b822 | 615 | scm_logxor (n1, n2) |
0f2d19dd JB |
616 | SCM n1; |
617 | SCM n2; | |
0f2d19dd | 618 | { |
f872b822 | 619 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
620 | { |
621 | if (SCM_UNBNDP (n1)) | |
622 | return SCM_INUM0; | |
623 | return n1; | |
624 | } | |
f872b822 | 625 | return SCM_MAKINUM (SCM_INUM (n1) ^ SCM_INUM (n2)); |
0f2d19dd JB |
626 | } |
627 | ||
f872b822 | 628 | SCM_PROC (s_logtest, "logtest", 2, 0, 0, scm_logtest); |
1cc91f1b | 629 | |
0f2d19dd | 630 | SCM |
f872b822 | 631 | scm_logtest (n1, n2) |
0f2d19dd JB |
632 | SCM n1; |
633 | SCM n2; | |
0f2d19dd | 634 | { |
f872b822 MD |
635 | SCM_ASSERT (SCM_INUMP (n1), n1, SCM_ARG1, s_logtest); |
636 | SCM_ASSERT (SCM_INUMP (n2), n2, SCM_ARG2, s_logtest); | |
637 | return (SCM_INUM (n1) & SCM_INUM (n2)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd JB |
638 | } |
639 | ||
f872b822 | 640 | SCM_PROC (s_logbit_p, "logbit?", 2, 0, 0, scm_logbit_p); |
1cc91f1b | 641 | |
0f2d19dd | 642 | SCM |
f872b822 | 643 | scm_logbit_p (n1, n2) |
0f2d19dd JB |
644 | SCM n1; |
645 | SCM n2; | |
0f2d19dd | 646 | { |
f872b822 MD |
647 | SCM_ASSERT (SCM_INUMP (n1) && SCM_INUM (n1) >= 0, n1, SCM_ARG1, s_logbit_p); |
648 | SCM_ASSERT (SCM_INUMP (n2), n2, SCM_ARG2, s_logbit_p); | |
649 | return ((1 << SCM_INUM (n1)) & SCM_INUM (n2)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd JB |
650 | } |
651 | #endif | |
652 | ||
f872b822 | 653 | SCM_PROC (s_lognot, "lognot", 1, 0, 0, scm_lognot); |
1cc91f1b | 654 | |
0f2d19dd | 655 | SCM |
f872b822 | 656 | scm_lognot (n) |
0f2d19dd | 657 | SCM n; |
0f2d19dd | 658 | { |
f872b822 MD |
659 | SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_lognot); |
660 | return scm_difference (SCM_MAKINUM (-1L), n); | |
0f2d19dd JB |
661 | } |
662 | ||
f872b822 | 663 | SCM_PROC (s_integer_expt, "integer-expt", 2, 0, 0, scm_integer_expt); |
1cc91f1b | 664 | |
0f2d19dd | 665 | SCM |
f872b822 | 666 | scm_integer_expt (z1, z2) |
0f2d19dd JB |
667 | SCM z1; |
668 | SCM z2; | |
0f2d19dd | 669 | { |
f872b822 | 670 | SCM acc = SCM_MAKINUM (1L); |
0f2d19dd | 671 | #ifdef SCM_BIGDIG |
f872b822 MD |
672 | if (SCM_INUM0 == z1 || acc == z1) |
673 | return z1; | |
674 | else if (SCM_MAKINUM (-1L) == z1) | |
675 | return SCM_BOOL_F == scm_even_p (z2) ? z1 : acc; | |
0f2d19dd | 676 | #endif |
f872b822 MD |
677 | SCM_ASSERT (SCM_INUMP (z2), z2, SCM_ARG2, s_integer_expt); |
678 | z2 = SCM_INUM (z2); | |
679 | if (z2 < 0) | |
680 | { | |
681 | z2 = -z2; | |
682 | z1 = scm_divide (z1, SCM_UNDEFINED); | |
683 | } | |
684 | while (1) | |
685 | { | |
686 | if (0 == z2) | |
687 | return acc; | |
688 | if (1 == z2) | |
689 | return scm_product (acc, z1); | |
690 | if (z2 & 1) | |
691 | acc = scm_product (acc, z1); | |
692 | z1 = scm_product (z1, z1); | |
693 | z2 >>= 1; | |
694 | } | |
0f2d19dd JB |
695 | } |
696 | ||
f872b822 | 697 | SCM_PROC (s_ash, "ash", 2, 0, 0, scm_ash); |
1cc91f1b | 698 | |
0f2d19dd | 699 | SCM |
f872b822 | 700 | scm_ash (n, cnt) |
0f2d19dd JB |
701 | SCM n; |
702 | SCM cnt; | |
0f2d19dd | 703 | { |
f872b822 MD |
704 | SCM res = SCM_INUM (n); |
705 | SCM_ASSERT (SCM_INUMP (cnt), cnt, SCM_ARG2, s_ash); | |
0f2d19dd | 706 | #ifdef SCM_BIGDIG |
f872b822 MD |
707 | if (cnt < 0) |
708 | { | |
709 | res = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-SCM_INUM (cnt))); | |
710 | if (SCM_NFALSEP (scm_negative_p (n))) | |
711 | return scm_sum (SCM_MAKINUM (-1L), | |
712 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), res)); | |
713 | else | |
714 | return scm_quotient (n, res); | |
715 | } | |
716 | else | |
717 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); | |
0f2d19dd | 718 | #else |
f872b822 MD |
719 | SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_ash); |
720 | cnt = SCM_INUM (cnt); | |
721 | if (cnt < 0) | |
722 | return SCM_MAKINUM (SCM_SRS (res, -cnt)); | |
723 | res = SCM_MAKINUM (res << cnt); | |
724 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
52859adf | 725 | scm_num_overflow (s_ash); |
0f2d19dd JB |
726 | return res; |
727 | #endif | |
728 | } | |
729 | ||
f872b822 | 730 | SCM_PROC (s_bit_extract, "bit-extract", 3, 0, 0, scm_bit_extract); |
1cc91f1b | 731 | |
0f2d19dd | 732 | SCM |
f872b822 | 733 | scm_bit_extract (n, start, end) |
0f2d19dd JB |
734 | SCM n; |
735 | SCM start; | |
736 | SCM end; | |
0f2d19dd | 737 | { |
f872b822 MD |
738 | SCM_ASSERT (SCM_INUMP (start), start, SCM_ARG2, s_bit_extract); |
739 | SCM_ASSERT (SCM_INUMP (end), end, SCM_ARG3, s_bit_extract); | |
740 | start = SCM_INUM (start); | |
741 | end = SCM_INUM (end); | |
742 | SCM_ASSERT (end >= start, SCM_MAKINUM (end), SCM_OUTOFRANGE, s_bit_extract); | |
0f2d19dd | 743 | #ifdef SCM_BIGDIG |
f872b822 | 744 | if (SCM_NINUMP (n)) |
0f2d19dd | 745 | return |
f872b822 MD |
746 | scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2), |
747 | SCM_MAKINUM (end - start)), | |
748 | SCM_MAKINUM (1L)), | |
749 | scm_ash (n, SCM_MAKINUM (-start))); | |
0f2d19dd | 750 | #else |
f872b822 | 751 | SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_bit_extract); |
0f2d19dd | 752 | #endif |
f872b822 | 753 | return SCM_MAKINUM ((SCM_INUM (n) >> start) & ((1L << (end - start)) - 1)); |
0f2d19dd JB |
754 | } |
755 | ||
f872b822 MD |
756 | char scm_logtab[] = { 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 }; |
757 | SCM_PROC (s_logcount, "logcount", 1, 0, 0, scm_logcount); | |
1cc91f1b | 758 | |
0f2d19dd | 759 | SCM |
f872b822 | 760 | scm_logcount (n) |
0f2d19dd | 761 | SCM n; |
0f2d19dd JB |
762 | { |
763 | register unsigned long c = 0; | |
764 | register long nn; | |
765 | #ifdef SCM_BIGDIG | |
f872b822 MD |
766 | if (SCM_NINUMP (n)) |
767 | { | |
768 | scm_sizet i; | |
769 | SCM_BIGDIG *ds, d; | |
770 | SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_logcount); | |
771 | if (SCM_BIGSIGN (n)) | |
772 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
773 | ds = SCM_BDIGITS (n); | |
774 | for (i = SCM_NUMDIGS (n); i--;) | |
775 | for (d = ds[i]; d; d >>= 4) | |
776 | c += scm_logtab[15 & d]; | |
777 | return SCM_MAKINUM (c); | |
778 | } | |
0f2d19dd | 779 | #else |
f872b822 | 780 | SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_logcount); |
0f2d19dd | 781 | #endif |
f872b822 MD |
782 | if ((nn = SCM_INUM (n)) < 0) |
783 | nn = -1 - nn; | |
784 | for (; nn; nn >>= 4) | |
785 | c += scm_logtab[15 & nn]; | |
786 | return SCM_MAKINUM (c); | |
0f2d19dd JB |
787 | } |
788 | ||
f872b822 MD |
789 | char scm_ilentab[] = { 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 }; |
790 | SCM_PROC (s_integer_length, "integer-length", 1, 0, 0, scm_integer_length); | |
1cc91f1b | 791 | |
0f2d19dd | 792 | SCM |
f872b822 | 793 | scm_integer_length (n) |
0f2d19dd | 794 | SCM n; |
0f2d19dd JB |
795 | { |
796 | register unsigned long c = 0; | |
797 | register long nn; | |
798 | unsigned int l = 4; | |
799 | #ifdef SCM_BIGDIG | |
f872b822 MD |
800 | if (SCM_NINUMP (n)) |
801 | { | |
802 | SCM_BIGDIG *ds, d; | |
803 | SCM_ASSERT (SCM_NIMP (n) && SCM_BIGP (n), n, SCM_ARG1, s_integer_length); | |
804 | if (SCM_BIGSIGN (n)) | |
805 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
806 | ds = SCM_BDIGITS (n); | |
807 | d = ds[c = SCM_NUMDIGS (n) - 1]; | |
808 | for (c *= SCM_BITSPERDIG; d; d >>= 4) | |
809 | { | |
810 | c += 4; | |
811 | l = scm_ilentab[15 & d]; | |
812 | } | |
813 | return SCM_MAKINUM (c - 4 + l); | |
814 | } | |
0f2d19dd | 815 | #else |
f872b822 | 816 | SCM_ASSERT (SCM_INUMP (n), n, SCM_ARG1, s_integer_length); |
0f2d19dd | 817 | #endif |
f872b822 MD |
818 | if ((nn = SCM_INUM (n)) < 0) |
819 | nn = -1 - nn; | |
820 | for (; nn; nn >>= 4) | |
821 | { | |
822 | c += 4; | |
823 | l = scm_ilentab[15 & nn]; | |
824 | } | |
825 | return SCM_MAKINUM (c - 4 + l); | |
0f2d19dd JB |
826 | } |
827 | ||
828 | ||
829 | #ifdef SCM_BIGDIG | |
f872b822 | 830 | char scm_s_bignum[] = "bignum"; |
1cc91f1b | 831 | |
0f2d19dd | 832 | SCM |
f872b822 | 833 | scm_mkbig (nlen, sign) |
0f2d19dd JB |
834 | scm_sizet nlen; |
835 | int sign; | |
0f2d19dd JB |
836 | { |
837 | SCM v = nlen; | |
2bf746cc JB |
838 | /* Cast to SCM to avoid signed/unsigned comparison warnings. */ |
839 | if (((v << 16) >> 16) != (SCM) nlen) | |
f872b822 MD |
840 | scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, scm_s_bignum); |
841 | SCM_NEWCELL (v); | |
0f2d19dd | 842 | SCM_DEFER_INTS; |
f872b822 MD |
843 | SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)), |
844 | scm_s_bignum)); | |
845 | SCM_SETNUMDIGS (v, nlen, sign ? scm_tc16_bigneg : scm_tc16_bigpos); | |
0f2d19dd JB |
846 | SCM_ALLOW_INTS; |
847 | return v; | |
848 | } | |
849 | ||
1cc91f1b | 850 | |
0f2d19dd | 851 | SCM |
f872b822 | 852 | scm_big2inum (b, l) |
0f2d19dd JB |
853 | SCM b; |
854 | scm_sizet l; | |
0f2d19dd JB |
855 | { |
856 | unsigned long num = 0; | |
f872b822 MD |
857 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
858 | while (l--) | |
859 | num = SCM_BIGUP (num) + tmp[l]; | |
860 | if (SCM_TYP16 (b) == scm_tc16_bigpos) | |
861 | { | |
862 | if (SCM_POSFIXABLE (num)) | |
863 | return SCM_MAKINUM (num); | |
864 | } | |
865 | else if (SCM_UNEGFIXABLE (num)) | |
866 | return SCM_MAKINUM (-num); | |
0f2d19dd JB |
867 | return b; |
868 | } | |
869 | ||
870 | ||
871 | char s_adjbig[] = "scm_adjbig"; | |
1cc91f1b | 872 | |
0f2d19dd | 873 | SCM |
f872b822 | 874 | scm_adjbig (b, nlen) |
0f2d19dd JB |
875 | SCM b; |
876 | scm_sizet nlen; | |
0f2d19dd | 877 | { |
2bf746cc JB |
878 | scm_sizet nsiz = nlen; |
879 | if (((nsiz << 16) >> 16) != nlen) | |
f872b822 | 880 | scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig); |
2bf746cc | 881 | |
0f2d19dd | 882 | SCM_DEFER_INTS; |
2bf746cc JB |
883 | { |
884 | SCM_BIGDIG *digits | |
885 | = ((SCM_BIGDIG *) | |
f872b822 MD |
886 | scm_must_realloc ((char *) SCM_CHARS (b), |
887 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), | |
888 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_adjbig)); | |
2bf746cc JB |
889 | |
890 | SCM_SETCHARS (b, digits); | |
f872b822 | 891 | SCM_SETNUMDIGS (b, nsiz, SCM_TYP16 (b)); |
2bf746cc | 892 | } |
0f2d19dd JB |
893 | SCM_ALLOW_INTS; |
894 | return b; | |
895 | } | |
896 | ||
897 | ||
1cc91f1b | 898 | |
0f2d19dd | 899 | SCM |
f872b822 | 900 | scm_normbig (b) |
0f2d19dd | 901 | SCM b; |
0f2d19dd | 902 | { |
f872b822 MD |
903 | #ifndef _UNICOS |
904 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 905 | #else |
f872b822 | 906 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 907 | #endif |
f872b822 MD |
908 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
909 | while (nlen-- && !zds[nlen]); | |
910 | nlen++; | |
911 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
912 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
913 | return b; | |
914 | if (SCM_NUMDIGS (b) == nlen) | |
915 | return b; | |
916 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
917 | } |
918 | ||
919 | ||
1cc91f1b | 920 | |
0f2d19dd | 921 | SCM |
f872b822 | 922 | scm_copybig (b, sign) |
0f2d19dd JB |
923 | SCM b; |
924 | int sign; | |
0f2d19dd | 925 | { |
f872b822 MD |
926 | scm_sizet i = SCM_NUMDIGS (b); |
927 | SCM ans = scm_mkbig (i, sign); | |
928 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
929 | while (i--) | |
930 | dst[i] = src[i]; | |
0f2d19dd JB |
931 | return ans; |
932 | } | |
933 | ||
934 | ||
1cc91f1b | 935 | |
0f2d19dd | 936 | SCM |
f872b822 | 937 | scm_long2big (n) |
0f2d19dd | 938 | long n; |
0f2d19dd JB |
939 | { |
940 | scm_sizet i = 0; | |
941 | SCM_BIGDIG *digits; | |
f872b822 MD |
942 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
943 | digits = SCM_BDIGITS (ans); | |
944 | if (n < 0) | |
945 | n = -n; | |
946 | while (i < SCM_DIGSPERLONG) | |
947 | { | |
948 | digits[i++] = SCM_BIGLO (n); | |
949 | n = SCM_BIGDN ((unsigned long) n); | |
950 | } | |
0f2d19dd JB |
951 | return ans; |
952 | } | |
953 | ||
954 | #ifdef LONGLONGS | |
1cc91f1b | 955 | |
0f2d19dd | 956 | SCM |
f872b822 | 957 | scm_long_long2big (n) |
0f2d19dd | 958 | long_long n; |
0f2d19dd JB |
959 | { |
960 | scm_sizet i; | |
961 | SCM_BIGDIG *digits; | |
962 | SCM ans; | |
963 | int n_digits; | |
964 | ||
965 | { | |
966 | long tn; | |
967 | tn = (long) n; | |
f872b822 | 968 | if ((long long) tn == n) |
0f2d19dd JB |
969 | return scm_long2big (tn); |
970 | } | |
971 | ||
972 | { | |
973 | long_long tn; | |
974 | ||
975 | for (tn = n, n_digits = 0; | |
976 | tn; | |
f872b822 | 977 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
978 | ; |
979 | } | |
980 | ||
981 | i = 0; | |
f872b822 MD |
982 | ans = scm_mkbig (n_digits, n < 0); |
983 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
984 | if (n < 0) |
985 | n = -n; | |
f872b822 MD |
986 | while (i < n_digits) |
987 | { | |
988 | digits[i++] = SCM_BIGLO (n); | |
989 | n = SCM_BIGDN ((ulong_long) n); | |
990 | } | |
0f2d19dd JB |
991 | return ans; |
992 | } | |
993 | #endif | |
994 | ||
1cc91f1b | 995 | |
0f2d19dd | 996 | SCM |
f872b822 MD |
997 | scm_2ulong2big (np) |
998 | unsigned long *np; | |
0f2d19dd JB |
999 | { |
1000 | unsigned long n; | |
1001 | scm_sizet i; | |
1002 | SCM_BIGDIG *digits; | |
1003 | SCM ans; | |
1004 | ||
f872b822 MD |
1005 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1006 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1007 | |
1008 | n = np[0]; | |
1009 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1010 | { | |
f872b822 MD |
1011 | digits[i] = SCM_BIGLO (n); |
1012 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1013 | } |
1014 | n = np[1]; | |
1015 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1016 | { | |
f872b822 MD |
1017 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1018 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1019 | } |
1020 | return ans; | |
1021 | } | |
1022 | ||
1023 | ||
1cc91f1b | 1024 | |
0f2d19dd | 1025 | SCM |
f872b822 | 1026 | scm_ulong2big (n) |
0f2d19dd | 1027 | unsigned long n; |
0f2d19dd JB |
1028 | { |
1029 | scm_sizet i = 0; | |
1030 | SCM_BIGDIG *digits; | |
f872b822 MD |
1031 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1032 | digits = SCM_BDIGITS (ans); | |
1033 | while (i < SCM_DIGSPERLONG) | |
1034 | { | |
1035 | digits[i++] = SCM_BIGLO (n); | |
1036 | n = SCM_BIGDN (n); | |
1037 | } | |
0f2d19dd JB |
1038 | return ans; |
1039 | } | |
1040 | ||
1041 | ||
1cc91f1b | 1042 | |
0f2d19dd | 1043 | int |
f872b822 | 1044 | scm_bigcomp (x, y) |
0f2d19dd JB |
1045 | SCM x; |
1046 | SCM y; | |
0f2d19dd | 1047 | { |
f872b822 MD |
1048 | int xsign = SCM_BIGSIGN (x); |
1049 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1050 | scm_sizet xlen, ylen; |
2bf746cc JB |
1051 | |
1052 | /* Look at the signs, first. */ | |
f872b822 MD |
1053 | if (ysign < xsign) |
1054 | return 1; | |
1055 | if (ysign > xsign) | |
1056 | return -1; | |
2bf746cc JB |
1057 | |
1058 | /* They're the same sign, so see which one has more digits. Note | |
1059 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1060 | ylen = SCM_NUMDIGS (y); |
1061 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1062 | if (ylen > xlen) |
1063 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1064 | if (ylen < xlen) |
1065 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1066 | |
1067 | /* They have the same number of digits, so find the most significant | |
1068 | digit where they differ. */ | |
1069 | while (xlen) | |
1070 | { | |
1071 | --xlen; | |
1072 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1073 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1074 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1075 | ? (xsign ? -1 : 1) | |
1076 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1077 | } |
1078 | ||
1079 | /* The numbers are identical. */ | |
1080 | return 0; | |
0f2d19dd JB |
1081 | } |
1082 | ||
1083 | #ifndef SCM_DIGSTOOBIG | |
1084 | ||
1cc91f1b | 1085 | |
0f2d19dd | 1086 | long |
f872b822 | 1087 | scm_pseudolong (x) |
0f2d19dd | 1088 | long x; |
0f2d19dd | 1089 | { |
f872b822 MD |
1090 | union |
1091 | { | |
0f2d19dd JB |
1092 | long l; |
1093 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1094 | } |
1095 | p; | |
0f2d19dd | 1096 | scm_sizet i = 0; |
f872b822 MD |
1097 | if (x < 0) |
1098 | x = -x; | |
1099 | while (i < SCM_DIGSPERLONG) | |
1100 | { | |
1101 | p.bd[i++] = SCM_BIGLO (x); | |
1102 | x = SCM_BIGDN (x); | |
1103 | } | |
0f2d19dd JB |
1104 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1105 | return p.l; | |
1106 | } | |
1107 | ||
1108 | #else | |
1109 | ||
1cc91f1b | 1110 | |
0f2d19dd | 1111 | void |
f872b822 | 1112 | scm_longdigs (x, digs) |
0f2d19dd JB |
1113 | long x; |
1114 | SCM_BIGDIG digs[]; | |
0f2d19dd JB |
1115 | { |
1116 | scm_sizet i = 0; | |
f872b822 MD |
1117 | if (x < 0) |
1118 | x = -x; | |
1119 | while (i < SCM_DIGSPERLONG) | |
1120 | { | |
1121 | digs[i++] = SCM_BIGLO (x); | |
1122 | x = SCM_BIGDN (x); | |
1123 | } | |
0f2d19dd JB |
1124 | } |
1125 | #endif | |
1126 | ||
1127 | ||
1cc91f1b | 1128 | |
0f2d19dd | 1129 | SCM |
f872b822 | 1130 | scm_addbig (x, nx, xsgn, bigy, sgny) |
0f2d19dd JB |
1131 | SCM_BIGDIG *x; |
1132 | scm_sizet nx; | |
1133 | int xsgn; | |
1134 | SCM bigy; | |
1135 | int sgny; | |
0f2d19dd JB |
1136 | { |
1137 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
1138 | /* Assumes xsgn and sgny scm_equal either 0 or 0x0100 */ | |
1139 | long num = 0; | |
f872b822 MD |
1140 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1141 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1142 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1143 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1144 | { | |
1145 | do | |
1146 | { | |
1147 | num += (long) zds[i] - x[i]; | |
1148 | if (num < 0) | |
1149 | { | |
1150 | zds[i] = num + SCM_BIGRAD; | |
1151 | num = -1; | |
1152 | } | |
1153 | else | |
1154 | { | |
1155 | zds[i] = SCM_BIGLO (num); | |
1156 | num = 0; | |
1157 | } | |
1158 | } | |
1159 | while (++i < nx); | |
1160 | if (num && nx == ny) | |
1161 | { | |
1162 | num = 1; | |
1163 | i = 0; | |
1164 | SCM_SETCAR (z, SCM_CAR (z) ^ 0x0100); | |
1165 | do | |
1166 | { | |
1167 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1168 | zds[i++] = SCM_BIGLO (num); | |
1169 | num = SCM_BIGDN (num); | |
1170 | } | |
1171 | while (i < ny); | |
1172 | } | |
1173 | else | |
1174 | while (i < ny) | |
1175 | { | |
1176 | num += zds[i]; | |
1177 | if (num < 0) | |
1178 | { | |
1179 | zds[i++] = num + SCM_BIGRAD; | |
1180 | num = -1; | |
1181 | } | |
1182 | else | |
1183 | { | |
1184 | zds[i++] = SCM_BIGLO (num); | |
1185 | num = 0; | |
1186 | } | |
1187 | } | |
1188 | } | |
1189 | else | |
1190 | { | |
1191 | do | |
1192 | { | |
1193 | num += (long) zds[i] + x[i]; | |
1194 | zds[i++] = SCM_BIGLO (num); | |
1195 | num = SCM_BIGDN (num); | |
1196 | } | |
1197 | while (i < nx); | |
1198 | if (!num) | |
1199 | return z; | |
1200 | while (i < ny) | |
1201 | { | |
1202 | num += zds[i]; | |
1203 | zds[i++] = SCM_BIGLO (num); | |
1204 | num = SCM_BIGDN (num); | |
1205 | if (!num) | |
1206 | return z; | |
1207 | } | |
1208 | if (num) | |
1209 | { | |
1210 | z = scm_adjbig (z, ny + 1); | |
1211 | SCM_BDIGITS (z)[ny] = num; | |
1212 | return z; | |
1213 | } | |
1214 | } | |
1215 | return scm_normbig (z); | |
0f2d19dd JB |
1216 | } |
1217 | ||
1cc91f1b | 1218 | |
0f2d19dd | 1219 | SCM |
f872b822 | 1220 | scm_mulbig (x, nx, y, ny, sgn) |
0f2d19dd JB |
1221 | SCM_BIGDIG *x; |
1222 | scm_sizet nx; | |
1223 | SCM_BIGDIG *y; | |
1224 | scm_sizet ny; | |
1225 | int sgn; | |
0f2d19dd JB |
1226 | { |
1227 | scm_sizet i = 0, j = nx + ny; | |
1228 | unsigned long n = 0; | |
f872b822 MD |
1229 | SCM z = scm_mkbig (j, sgn); |
1230 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1231 | while (j--) | |
1232 | zds[j] = 0; | |
1233 | do | |
1234 | { | |
1235 | j = 0; | |
1236 | if (x[i]) | |
1237 | { | |
1238 | do | |
1239 | { | |
1240 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1241 | zds[i + j++] = SCM_BIGLO (n); | |
1242 | n = SCM_BIGDN (n); | |
1243 | } | |
1244 | while (j < ny); | |
1245 | if (n) | |
1246 | { | |
1247 | zds[i + j] = n; | |
1248 | n = 0; | |
1249 | } | |
1250 | } | |
0f2d19dd | 1251 | } |
f872b822 MD |
1252 | while (++i < nx); |
1253 | return scm_normbig (z); | |
0f2d19dd JB |
1254 | } |
1255 | ||
1cc91f1b | 1256 | |
805df3e8 JB |
1257 | /* Sun's compiler complains about the fact that this function has an |
1258 | ANSI prototype in numbers.h, but a K&R declaration here, and the | |
1259 | two specify different promotions for the third argument. I'm going | |
1260 | to turn this into an ANSI declaration, and see if anyone complains | |
1261 | about it not being K&R. */ | |
1262 | ||
0f2d19dd | 1263 | unsigned int |
f872b822 MD |
1264 | scm_divbigdig (SCM_BIGDIG * ds, |
1265 | scm_sizet h, | |
1266 | SCM_BIGDIG div) | |
0f2d19dd JB |
1267 | { |
1268 | register unsigned long t2 = 0; | |
f872b822 MD |
1269 | while (h--) |
1270 | { | |
1271 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1272 | ds[h] = t2 / div; | |
1273 | t2 %= div; | |
1274 | } | |
0f2d19dd JB |
1275 | return t2; |
1276 | } | |
1277 | ||
1278 | ||
1cc91f1b | 1279 | |
0f2d19dd | 1280 | SCM |
f872b822 | 1281 | scm_divbigint (x, z, sgn, mode) |
0f2d19dd JB |
1282 | SCM x; |
1283 | long z; | |
1284 | int sgn; | |
1285 | int mode; | |
0f2d19dd | 1286 | { |
f872b822 MD |
1287 | if (z < 0) |
1288 | z = -z; | |
1289 | if (z < SCM_BIGRAD) | |
1290 | { | |
1291 | register unsigned long t2 = 0; | |
1292 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1293 | scm_sizet nd = SCM_NUMDIGS (x); | |
1294 | while (nd--) | |
1295 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1296 | if (mode && t2) | |
1297 | t2 = z - t2; | |
1298 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1299 | } | |
0f2d19dd JB |
1300 | { |
1301 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1302 | unsigned long t2 = scm_pseudolong (z); |
1303 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1304 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1305 | sgn, mode); | |
0f2d19dd JB |
1306 | #else |
1307 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1308 | scm_longdigs (z, t2); |
1309 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1310 | t2, SCM_DIGSPERLONG, | |
1311 | sgn, mode); | |
0f2d19dd JB |
1312 | #endif |
1313 | } | |
1314 | } | |
1315 | ||
1cc91f1b | 1316 | |
0f2d19dd | 1317 | SCM |
f872b822 | 1318 | scm_divbigbig (x, nx, y, ny, sgn, modes) |
0f2d19dd JB |
1319 | SCM_BIGDIG *x; |
1320 | scm_sizet nx; | |
1321 | SCM_BIGDIG *y; | |
1322 | scm_sizet ny; | |
1323 | int sgn; | |
1324 | int modes; | |
0f2d19dd JB |
1325 | { |
1326 | /* modes description | |
f872b822 MD |
1327 | 0 remainder |
1328 | 1 scm_modulo | |
1329 | 2 quotient | |
1330 | 3 quotient but returns 0 if division is not exact. */ | |
0f2d19dd JB |
1331 | scm_sizet i = 0, j = 0; |
1332 | long num = 0; | |
1333 | unsigned long t2 = 0; | |
1334 | SCM z, newy; | |
f872b822 | 1335 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1336 | /* algorithm requires nx >= ny */ |
1337 | if (nx < ny) | |
f872b822 MD |
1338 | switch (modes) |
1339 | { | |
1340 | case 0: /* remainder -- just return x */ | |
1341 | z = scm_mkbig (nx, sgn); | |
1342 | zds = SCM_BDIGITS (z); | |
1343 | do | |
1344 | { | |
1345 | zds[i] = x[i]; | |
1346 | } | |
1347 | while (++i < nx); | |
1348 | return z; | |
1349 | case 1: /* scm_modulo -- return y-x */ | |
1350 | z = scm_mkbig (ny, sgn); | |
1351 | zds = SCM_BDIGITS (z); | |
1352 | do | |
1353 | { | |
1354 | num += (long) y[i] - x[i]; | |
1355 | if (num < 0) | |
1356 | { | |
1357 | zds[i] = num + SCM_BIGRAD; | |
1358 | num = -1; | |
1359 | } | |
1360 | else | |
1361 | { | |
1362 | zds[i] = num; | |
1363 | num = 0; | |
1364 | } | |
1365 | } | |
1366 | while (++i < nx); | |
1367 | while (i < ny) | |
1368 | { | |
1369 | num += y[i]; | |
1370 | if (num < 0) | |
1371 | { | |
1372 | zds[i++] = num + SCM_BIGRAD; | |
1373 | num = -1; | |
1374 | } | |
1375 | else | |
1376 | { | |
1377 | zds[i++] = num; | |
1378 | num = 0; | |
1379 | } | |
1380 | } | |
1381 | goto doadj; | |
1382 | case 2: | |
1383 | return SCM_INUM0; /* quotient is zero */ | |
1384 | case 3: | |
1385 | return 0; /* the division is not exact */ | |
0f2d19dd | 1386 | } |
f872b822 MD |
1387 | |
1388 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1389 | zds = SCM_BDIGITS (z); | |
1390 | if (nx == ny) | |
1391 | zds[nx + 1] = 0; | |
1392 | while (!y[ny - 1]) | |
1393 | ny--; /* in case y came in as a psuedolong */ | |
1394 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1395 | { /* normalize operands */ | |
1396 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1397 | newy = scm_mkbig (ny, 0); | |
1398 | yds = SCM_BDIGITS (newy); | |
1399 | while (j < ny) | |
1400 | { | |
1401 | t2 += (unsigned long) y[j] * d; | |
1402 | yds[j++] = SCM_BIGLO (t2); | |
1403 | t2 = SCM_BIGDN (t2); | |
1404 | } | |
1405 | y = yds; | |
1406 | j = 0; | |
1407 | t2 = 0; | |
1408 | while (j < nx) | |
1409 | { | |
1410 | t2 += (unsigned long) x[j] * d; | |
1411 | zds[j++] = SCM_BIGLO (t2); | |
1412 | t2 = SCM_BIGDN (t2); | |
1413 | } | |
1414 | zds[j] = t2; | |
1415 | } | |
1416 | else | |
1417 | { | |
1418 | zds[j = nx] = 0; | |
1419 | while (j--) | |
1420 | zds[j] = x[j]; | |
1421 | } | |
1422 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1423 | do | |
1424 | { /* loop over digits of quotient */ | |
1425 | if (zds[j] == y[ny - 1]) | |
1426 | qhat = SCM_BIGRAD - 1; | |
1427 | else | |
1428 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1429 | if (!qhat) | |
1430 | continue; | |
1431 | i = 0; | |
1432 | num = 0; | |
1433 | t2 = 0; | |
1434 | do | |
1435 | { /* multiply and subtract */ | |
1436 | t2 += (unsigned long) y[i] * qhat; | |
1437 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1438 | if (num < 0) | |
1439 | { | |
1440 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1441 | num = -1; | |
1442 | } | |
1443 | else | |
1444 | { | |
1445 | zds[j - ny + i] = num; | |
1446 | num = 0; | |
1447 | } | |
1448 | t2 = SCM_BIGDN (t2); | |
1449 | } | |
1450 | while (++i < ny); | |
1451 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1452 | while (num) | |
1453 | { /* "add back" required */ | |
1454 | i = 0; | |
1455 | num = 0; | |
1456 | qhat--; | |
1457 | do | |
1458 | { | |
1459 | num += (long) zds[j - ny + i] + y[i]; | |
1460 | zds[j - ny + i] = SCM_BIGLO (num); | |
1461 | num = SCM_BIGDN (num); | |
1462 | } | |
1463 | while (++i < ny); | |
1464 | num--; | |
1465 | } | |
1466 | if (modes & 2) | |
1467 | zds[j] = qhat; | |
1468 | } | |
1469 | while (--j >= ny); | |
1470 | switch (modes) | |
1471 | { | |
1472 | case 3: /* check that remainder==0 */ | |
1473 | for (j = ny; j && !zds[j - 1]; --j); | |
1474 | if (j) | |
1475 | return 0; | |
1476 | case 2: /* move quotient down in z */ | |
1477 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1478 | for (i = 0; i < j; i++) | |
1479 | zds[i] = zds[i + ny]; | |
1480 | ny = i; | |
1481 | break; | |
1482 | case 1: /* subtract for scm_modulo */ | |
1483 | i = 0; | |
1484 | num = 0; | |
1485 | j = 0; | |
1486 | do | |
1487 | { | |
1488 | num += y[i] - zds[i]; | |
1489 | j = j | zds[i]; | |
1490 | if (num < 0) | |
1491 | { | |
1492 | zds[i] = num + SCM_BIGRAD; | |
1493 | num = -1; | |
1494 | } | |
1495 | else | |
1496 | { | |
1497 | zds[i] = num; | |
1498 | num = 0; | |
1499 | } | |
1500 | } | |
1501 | while (++i < ny); | |
1502 | if (!j) | |
1503 | return SCM_INUM0; | |
1504 | case 0: /* just normalize remainder */ | |
1505 | if (d) | |
1506 | scm_divbigdig (zds, ny, d); | |
1507 | } | |
0f2d19dd | 1508 | doadj: |
f872b822 MD |
1509 | for (j = ny; j && !zds[j - 1]; --j); |
1510 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1511 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
1512 | return z; | |
1513 | return scm_adjbig (z, j); | |
0f2d19dd JB |
1514 | } |
1515 | #endif | |
f872b822 | 1516 | \f |
0f2d19dd JB |
1517 | |
1518 | ||
1519 | ||
0f2d19dd JB |
1520 | |
1521 | /*** NUMBERS -> STRINGS ***/ | |
1522 | #ifdef SCM_FLOATS | |
1523 | int scm_dblprec; | |
f872b822 MD |
1524 | static double fx[] = |
1525 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, | |
1526 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
1527 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
1528 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
1529 | |
1530 | ||
1531 | ||
1cc91f1b JB |
1532 | |
1533 | static scm_sizet idbl2str SCM_P ((double f, char *a)); | |
1534 | ||
0f2d19dd | 1535 | static scm_sizet |
f872b822 | 1536 | idbl2str (f, a) |
0f2d19dd JB |
1537 | double f; |
1538 | char *a; | |
0f2d19dd JB |
1539 | { |
1540 | int efmt, dpt, d, i, wp = scm_dblprec; | |
1541 | scm_sizet ch = 0; | |
1542 | int exp = 0; | |
1543 | ||
f872b822 MD |
1544 | if (f == 0.0) |
1545 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
1546 | if (f < 0.0) | |
1547 | { | |
1548 | f = -f; | |
1549 | a[ch++] = '-'; | |
1550 | } | |
1551 | else if (f > 0.0); | |
1552 | else | |
1553 | goto funny; | |
1554 | if (IS_INF (f)) | |
1555 | { | |
1556 | if (ch == 0) | |
1557 | a[ch++] = '+'; | |
1558 | funny: | |
1559 | a[ch++] = '#'; | |
1560 | a[ch++] = '.'; | |
1561 | a[ch++] = '#'; | |
1562 | return ch; | |
1563 | } | |
1564 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
1565 | make-uniform-vector, from causing infinite loops. */ | |
1566 | while (f < 1.0) | |
1567 | { | |
1568 | f *= 10.0; | |
1569 | if (exp-- < DBL_MIN_10_EXP) | |
1570 | goto funny; | |
1571 | } | |
1572 | while (f > 10.0) | |
1573 | { | |
1574 | f *= 0.10; | |
1575 | if (exp++ > DBL_MAX_10_EXP) | |
1576 | goto funny; | |
1577 | } | |
1578 | #else | |
1579 | while (f < 1.0) | |
1580 | { | |
1581 | f *= 10.0; | |
1582 | exp--; | |
1583 | } | |
1584 | while (f > 10.0) | |
1585 | { | |
1586 | f /= 10.0; | |
1587 | exp++; | |
1588 | } | |
1589 | #endif | |
1590 | if (f + fx[wp] >= 10.0) | |
1591 | { | |
1592 | f = 1.0; | |
1593 | exp++; | |
1594 | } | |
0f2d19dd | 1595 | zero: |
f872b822 MD |
1596 | #ifdef ENGNOT |
1597 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
1598 | exp -= dpt++; |
1599 | efmt = 1; | |
f872b822 MD |
1600 | #else |
1601 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 1602 | if (!efmt) |
cda139a7 MD |
1603 | { |
1604 | if (exp < 0) | |
1605 | { | |
1606 | a[ch++] = '0'; | |
1607 | a[ch++] = '.'; | |
1608 | dpt = exp; | |
f872b822 MD |
1609 | while (++dpt) |
1610 | a[ch++] = '0'; | |
cda139a7 MD |
1611 | } |
1612 | else | |
f872b822 | 1613 | dpt = exp + 1; |
cda139a7 | 1614 | } |
0f2d19dd JB |
1615 | else |
1616 | dpt = 1; | |
f872b822 MD |
1617 | #endif |
1618 | ||
1619 | do | |
1620 | { | |
1621 | d = f; | |
1622 | f -= d; | |
1623 | a[ch++] = d + '0'; | |
1624 | if (f < fx[wp]) | |
1625 | break; | |
1626 | if (f + fx[wp] >= 1.0) | |
1627 | { | |
1628 | a[ch - 1]++; | |
1629 | break; | |
1630 | } | |
1631 | f *= 10.0; | |
1632 | if (!(--dpt)) | |
1633 | a[ch++] = '.'; | |
0f2d19dd | 1634 | } |
f872b822 | 1635 | while (wp--); |
0f2d19dd JB |
1636 | |
1637 | if (dpt > 0) | |
cda139a7 | 1638 | { |
f872b822 | 1639 | #ifndef ENGNOT |
cda139a7 MD |
1640 | if ((dpt > 4) && (exp > 6)) |
1641 | { | |
f872b822 | 1642 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 1643 | for (i = ch++; i > d; i--) |
f872b822 | 1644 | a[i] = a[i - 1]; |
cda139a7 MD |
1645 | a[d] = '.'; |
1646 | efmt = 1; | |
1647 | } | |
1648 | else | |
f872b822 | 1649 | #endif |
cda139a7 | 1650 | { |
f872b822 MD |
1651 | while (--dpt) |
1652 | a[ch++] = '0'; | |
cda139a7 MD |
1653 | a[ch++] = '.'; |
1654 | } | |
1655 | } | |
f872b822 MD |
1656 | if (a[ch - 1] == '.') |
1657 | a[ch++] = '0'; /* trailing zero */ | |
1658 | if (efmt && exp) | |
1659 | { | |
1660 | a[ch++] = 'e'; | |
1661 | if (exp < 0) | |
1662 | { | |
1663 | exp = -exp; | |
1664 | a[ch++] = '-'; | |
1665 | } | |
1666 | for (i = 10; i <= exp; i *= 10); | |
1667 | for (i /= 10; i; i /= 10) | |
1668 | { | |
1669 | a[ch++] = exp / i + '0'; | |
1670 | exp %= i; | |
1671 | } | |
0f2d19dd | 1672 | } |
0f2d19dd JB |
1673 | return ch; |
1674 | } | |
1675 | ||
1cc91f1b JB |
1676 | |
1677 | static scm_sizet iflo2str SCM_P ((SCM flt, char *str)); | |
1678 | ||
0f2d19dd | 1679 | static scm_sizet |
f872b822 | 1680 | iflo2str (flt, str) |
0f2d19dd JB |
1681 | SCM flt; |
1682 | char *str; | |
0f2d19dd JB |
1683 | { |
1684 | scm_sizet i; | |
f872b822 MD |
1685 | #ifdef SCM_SINGLES |
1686 | if (SCM_SINGP (flt)) | |
1687 | i = idbl2str (SCM_FLO (flt), str); | |
0f2d19dd | 1688 | else |
f872b822 MD |
1689 | #endif |
1690 | i = idbl2str (SCM_REAL (flt), str); | |
1691 | if (SCM_CPLXP (flt)) | |
1692 | { | |
1693 | if (0 <= SCM_IMAG (flt)) /* jeh */ | |
1694 | str[i++] = '+'; /* jeh */ | |
1695 | i += idbl2str (SCM_IMAG (flt), &str[i]); | |
1696 | str[i++] = 'i'; | |
1697 | } | |
0f2d19dd JB |
1698 | return i; |
1699 | } | |
f872b822 | 1700 | #endif /* SCM_FLOATS */ |
0f2d19dd | 1701 | |
1cc91f1b | 1702 | |
0f2d19dd | 1703 | scm_sizet |
f872b822 | 1704 | scm_iint2str (num, rad, p) |
0f2d19dd JB |
1705 | long num; |
1706 | int rad; | |
1707 | char *p; | |
0f2d19dd JB |
1708 | { |
1709 | scm_sizet j; | |
1710 | register int i = 1, d; | |
1711 | register long n = num; | |
f872b822 MD |
1712 | if (n < 0) |
1713 | { | |
1714 | n = -n; | |
1715 | i++; | |
1716 | } | |
1717 | for (n /= rad; n > 0; n /= rad) | |
1718 | i++; | |
0f2d19dd JB |
1719 | j = i; |
1720 | n = num; | |
f872b822 MD |
1721 | if (n < 0) |
1722 | { | |
1723 | n = -n; | |
1724 | *p++ = '-'; | |
1725 | i--; | |
1726 | } | |
1727 | while (i--) | |
1728 | { | |
1729 | d = n % rad; | |
1730 | n /= rad; | |
1731 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
1732 | } | |
0f2d19dd JB |
1733 | return j; |
1734 | } | |
1735 | ||
1736 | ||
1737 | #ifdef SCM_BIGDIG | |
1cc91f1b JB |
1738 | |
1739 | static SCM big2str SCM_P ((SCM b, register unsigned int radix)); | |
1740 | ||
0f2d19dd | 1741 | static SCM |
f872b822 | 1742 | big2str (b, radix) |
0f2d19dd JB |
1743 | SCM b; |
1744 | register unsigned int radix; | |
0f2d19dd | 1745 | { |
f872b822 MD |
1746 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
1747 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
1748 | scm_sizet i = SCM_NUMDIGS (t); | |
1749 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
1750 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
1751 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
1752 | scm_sizet k = 0; |
1753 | scm_sizet radct = 0; | |
1754 | scm_sizet ch; /* jeh */ | |
1755 | SCM_BIGDIG radpow = 1, radmod = 0; | |
f872b822 MD |
1756 | SCM ss = scm_makstr ((long) j, 0); |
1757 | char *s = SCM_CHARS (ss), c; | |
1758 | while ((long) radpow * radix < SCM_BIGRAD) | |
1759 | { | |
1760 | radpow *= radix; | |
1761 | radct++; | |
1762 | } | |
1763 | s[0] = scm_tc16_bigneg == SCM_TYP16 (b) ? '-' : '+'; | |
1764 | while ((i || radmod) && j) | |
1765 | { | |
1766 | if (k == 0) | |
1767 | { | |
1768 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
1769 | k = radct; | |
1770 | if (!ds[i - 1]) | |
1771 | i--; | |
1772 | } | |
1773 | c = radmod % radix; | |
1774 | radmod /= radix; | |
1775 | k--; | |
1776 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
1777 | } | |
0f2d19dd | 1778 | ch = s[0] == '-' ? 1 : 0; /* jeh */ |
f872b822 MD |
1779 | if (ch < j) |
1780 | { /* jeh */ | |
1781 | for (i = j; j < SCM_LENGTH (ss); j++) | |
1782 | s[ch + j - i] = s[j]; /* jeh */ | |
1783 | scm_vector_set_length_x (ss, /* jeh */ | |
1784 | (SCM) SCM_MAKINUM (ch + SCM_LENGTH (ss) - i)); | |
1785 | } | |
b098016b JB |
1786 | |
1787 | return scm_return_first (ss, t); | |
0f2d19dd JB |
1788 | } |
1789 | #endif | |
1790 | ||
1791 | ||
f872b822 | 1792 | SCM_PROC (s_number_to_string, "number->string", 1, 1, 0, scm_number_to_string); |
1cc91f1b | 1793 | |
0f2d19dd | 1794 | SCM |
f872b822 | 1795 | scm_number_to_string (x, radix) |
0f2d19dd JB |
1796 | SCM x; |
1797 | SCM radix; | |
0f2d19dd | 1798 | { |
f872b822 MD |
1799 | if (SCM_UNBNDP (radix)) |
1800 | radix = SCM_MAKINUM (10L); | |
1801 | else | |
1802 | SCM_ASSERT (SCM_INUMP (radix), radix, SCM_ARG2, s_number_to_string); | |
0f2d19dd | 1803 | #ifdef SCM_FLOATS |
f872b822 MD |
1804 | if (SCM_NINUMP (x)) |
1805 | { | |
1806 | char num_buf[SCM_FLOBUFLEN]; | |
1807 | #ifdef SCM_BIGDIG | |
1808 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
1809 | if (SCM_BIGP (x)) | |
1810 | return big2str (x, (unsigned int) SCM_INUM (radix)); | |
1811 | #ifndef SCM_RECKLESS | |
1812 | if (!(SCM_INEXP (x))) | |
1813 | { | |
1814 | badx: | |
1815 | scm_wta (x, (char *) SCM_ARG1, s_number_to_string); | |
1816 | } | |
1817 | #endif | |
0f2d19dd | 1818 | #else |
f872b822 MD |
1819 | SCM_ASSERT (SCM_NIMP (x) && SCM_INEXP (x), |
1820 | x, SCM_ARG1, s_number_to_string); | |
0f2d19dd | 1821 | #endif |
f872b822 MD |
1822 | return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0); |
1823 | } | |
1824 | #else | |
1825 | #ifdef SCM_BIGDIG | |
1826 | if (SCM_NINUMP (x)) | |
1827 | { | |
1828 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), | |
1829 | x, SCM_ARG1, s_number_to_string); | |
1830 | return big2str (x, (unsigned int) SCM_INUM (radix)); | |
1831 | } | |
1832 | #else | |
1833 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_number_to_string); | |
1834 | #endif | |
1835 | #endif | |
1836 | { | |
1837 | char num_buf[SCM_INTBUFLEN]; | |
1838 | return scm_makfromstr (num_buf, | |
1839 | scm_iint2str (SCM_INUM (x), | |
1840 | (int) SCM_INUM (radix), | |
1841 | num_buf), | |
1842 | 0); | |
0f2d19dd JB |
1843 | } |
1844 | } | |
1845 | ||
1846 | ||
1847 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
1848 | SCM_FLOATS or SCM_BIGDIGs conditionals */ | |
1cc91f1b | 1849 | |
0f2d19dd | 1850 | int |
f872b822 | 1851 | scm_floprint (sexp, port, pstate) |
0f2d19dd JB |
1852 | SCM sexp; |
1853 | SCM port; | |
19402679 | 1854 | scm_print_state *pstate; |
0f2d19dd JB |
1855 | { |
1856 | #ifdef SCM_FLOATS | |
1857 | char num_buf[SCM_FLOBUFLEN]; | |
f872b822 | 1858 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd | 1859 | #else |
f872b822 | 1860 | scm_ipruk ("float", sexp, port); |
0f2d19dd JB |
1861 | #endif |
1862 | return !0; | |
1863 | } | |
1864 | ||
1865 | ||
1cc91f1b | 1866 | |
0f2d19dd | 1867 | int |
f872b822 | 1868 | scm_bigprint (exp, port, pstate) |
0f2d19dd JB |
1869 | SCM exp; |
1870 | SCM port; | |
19402679 | 1871 | scm_print_state *pstate; |
0f2d19dd JB |
1872 | { |
1873 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1874 | exp = big2str (exp, (unsigned int) 10); |
1875 | scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port); | |
0f2d19dd | 1876 | #else |
f872b822 | 1877 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
1878 | #endif |
1879 | return !0; | |
1880 | } | |
1881 | /*** END nums->strs ***/ | |
1882 | ||
1883 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee | 1884 | |
1cc91f1b JB |
1885 | static SCM scm_small_istr2int SCM_P ((char *str, long len, long radix)); |
1886 | ||
2a8fecee | 1887 | static SCM |
f872b822 | 1888 | scm_small_istr2int (str, len, radix) |
2a8fecee JB |
1889 | char *str; |
1890 | long len; | |
1891 | long radix; | |
1892 | { | |
1893 | register long n = 0, ln; | |
1894 | register int c; | |
1895 | register int i = 0; | |
1896 | int lead_neg = 0; | |
f872b822 MD |
1897 | if (0 >= len) |
1898 | return SCM_BOOL_F; /* zero scm_length */ | |
1899 | switch (*str) | |
1900 | { /* leading sign */ | |
1901 | case '-': | |
1902 | lead_neg = 1; | |
1903 | case '+': | |
1904 | if (++i == len) | |
1905 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
1906 | } | |
2a8fecee | 1907 | |
f872b822 MD |
1908 | do |
1909 | { | |
1910 | switch (c = str[i++]) | |
1911 | { | |
1912 | case DIGITS: | |
1913 | c = c - '0'; | |
1914 | goto accumulate; | |
1915 | case 'A': | |
1916 | case 'B': | |
1917 | case 'C': | |
1918 | case 'D': | |
1919 | case 'E': | |
1920 | case 'F': | |
1921 | c = c - 'A' + 10; | |
1922 | goto accumulate; | |
1923 | case 'a': | |
1924 | case 'b': | |
1925 | case 'c': | |
1926 | case 'd': | |
1927 | case 'e': | |
1928 | case 'f': | |
1929 | c = c - 'a' + 10; | |
1930 | accumulate: | |
1931 | if (c >= radix) | |
1932 | return SCM_BOOL_F; /* bad digit for radix */ | |
1933 | ln = n; | |
1934 | n = n * radix - c; | |
1935 | /* Negation is a workaround for HP700 cc bug */ | |
1936 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
1937 | goto ovfl; | |
1938 | break; | |
1939 | default: | |
1940 | return SCM_BOOL_F; /* not a digit */ | |
1941 | } | |
2a8fecee | 1942 | } |
f872b822 MD |
1943 | while (i < len); |
1944 | if (!lead_neg) | |
1945 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
1946 | goto ovfl; | |
1947 | return SCM_MAKINUM (n); | |
2a8fecee JB |
1948 | ovfl: /* overflow scheme integer */ |
1949 | return SCM_BOOL_F; | |
1950 | } | |
1951 | ||
1952 | ||
1cc91f1b | 1953 | |
0f2d19dd | 1954 | SCM |
f872b822 | 1955 | scm_istr2int (str, len, radix) |
0f2d19dd JB |
1956 | char *str; |
1957 | long len; | |
1958 | long radix; | |
0f2d19dd JB |
1959 | { |
1960 | scm_sizet j; | |
1961 | register scm_sizet k, blen = 1; | |
1962 | scm_sizet i = 0; | |
1963 | int c; | |
1964 | SCM res; | |
1965 | register SCM_BIGDIG *ds; | |
1966 | register unsigned long t2; | |
1967 | ||
f872b822 MD |
1968 | if (0 >= len) |
1969 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
1970 | |
1971 | /* Short numbers we parse directly into an int, to avoid the overhead | |
1972 | of creating a bignum. */ | |
1973 | if (len < 6) | |
1974 | return scm_small_istr2int (str, len, radix); | |
1975 | ||
f872b822 MD |
1976 | if (16 == radix) |
1977 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 1978 | else if (10 <= radix) |
f872b822 MD |
1979 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
1980 | else | |
1981 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
1982 | switch (str[0]) | |
1983 | { /* leading sign */ | |
1984 | case '-': | |
1985 | case '+': | |
1986 | if (++i == (unsigned) len) | |
1987 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
1988 | } | |
1989 | res = scm_mkbig (j, '-' == str[0]); | |
1990 | ds = SCM_BDIGITS (res); | |
1991 | for (k = j; k--;) | |
1992 | ds[k] = 0; | |
1993 | do | |
1994 | { | |
1995 | switch (c = str[i++]) | |
1996 | { | |
1997 | case DIGITS: | |
1998 | c = c - '0'; | |
1999 | goto accumulate; | |
2000 | case 'A': | |
2001 | case 'B': | |
2002 | case 'C': | |
2003 | case 'D': | |
2004 | case 'E': | |
2005 | case 'F': | |
2006 | c = c - 'A' + 10; | |
2007 | goto accumulate; | |
2008 | case 'a': | |
2009 | case 'b': | |
2010 | case 'c': | |
2011 | case 'd': | |
2012 | case 'e': | |
2013 | case 'f': | |
2014 | c = c - 'a' + 10; | |
2015 | accumulate: | |
2016 | if (c >= radix) | |
2017 | return SCM_BOOL_F; /* bad digit for radix */ | |
2018 | k = 0; | |
2019 | t2 = c; | |
2020 | moretodo: | |
2021 | while (k < blen) | |
2022 | { | |
2023 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2024 | t2 += ds[k] * radix; | |
2025 | ds[k++] = SCM_BIGLO (t2); | |
2026 | t2 = SCM_BIGDN (t2); | |
2027 | } | |
2028 | if (blen > j) | |
2029 | scm_num_overflow ("bignum"); | |
2030 | if (t2) | |
2031 | { | |
2032 | blen++; | |
2033 | goto moretodo; | |
2034 | } | |
2035 | break; | |
2036 | default: | |
2037 | return SCM_BOOL_F; /* not a digit */ | |
2038 | } | |
0f2d19dd | 2039 | } |
f872b822 MD |
2040 | while (i < (unsigned) len); |
2041 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2042 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2043 | return res; | |
2044 | if (j == blen) | |
2045 | return res; | |
2046 | return scm_adjbig (res, blen); | |
0f2d19dd | 2047 | } |
0f2d19dd JB |
2048 | |
2049 | #ifdef SCM_FLOATS | |
1cc91f1b | 2050 | |
0f2d19dd | 2051 | SCM |
f872b822 | 2052 | scm_istr2flo (str, len, radix) |
0f2d19dd JB |
2053 | char *str; |
2054 | long len; | |
2055 | long radix; | |
0f2d19dd JB |
2056 | { |
2057 | register int c, i = 0; | |
2058 | double lead_sgn; | |
2059 | double res = 0.0, tmp = 0.0; | |
2060 | int flg = 0; | |
2061 | int point = 0; | |
2062 | SCM second; | |
2063 | ||
f872b822 MD |
2064 | if (i >= len) |
2065 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2066 | |
f872b822 MD |
2067 | switch (*str) |
2068 | { /* leading sign */ | |
2069 | case '-': | |
2070 | lead_sgn = -1.0; | |
2071 | i++; | |
2072 | break; | |
2073 | case '+': | |
2074 | lead_sgn = 1.0; | |
2075 | i++; | |
0f2d19dd JB |
2076 | break; |
2077 | default: | |
f872b822 | 2078 | lead_sgn = 0.0; |
0f2d19dd | 2079 | } |
f872b822 MD |
2080 | if (i == len) |
2081 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2082 | ||
2083 | if (str[i] == 'i' || str[i] == 'I') | |
2084 | { /* handle `+i' and `-i' */ | |
2085 | if (lead_sgn == 0.0) | |
2086 | return SCM_BOOL_F; /* must have leading sign */ | |
2087 | if (++i < len) | |
2088 | return SCM_BOOL_F; /* `i' not last character */ | |
2089 | return scm_makdbl (0.0, lead_sgn); | |
2090 | } | |
2091 | do | |
2092 | { /* check initial digits */ | |
2093 | switch (c = str[i]) | |
2094 | { | |
2095 | case DIGITS: | |
2096 | c = c - '0'; | |
2097 | goto accum1; | |
2098 | case 'D': | |
2099 | case 'E': | |
2100 | case 'F': | |
2101 | if (radix == 10) | |
2102 | goto out1; /* must be exponent */ | |
2103 | case 'A': | |
2104 | case 'B': | |
2105 | case 'C': | |
2106 | c = c - 'A' + 10; | |
2107 | goto accum1; | |
2108 | case 'd': | |
2109 | case 'e': | |
2110 | case 'f': | |
2111 | if (radix == 10) | |
2112 | goto out1; | |
2113 | case 'a': | |
2114 | case 'b': | |
2115 | case 'c': | |
2116 | c = c - 'a' + 10; | |
2117 | accum1: | |
2118 | if (c >= radix) | |
2119 | return SCM_BOOL_F; /* bad digit for radix */ | |
2120 | res = res * radix + c; | |
2121 | flg = 1; /* res is valid */ | |
2122 | break; | |
2123 | default: | |
2124 | goto out1; | |
2125 | } | |
2126 | } | |
2127 | while (++i < len); | |
0f2d19dd JB |
2128 | out1: |
2129 | ||
2130 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2131 | if (i == len) |
2132 | goto done; | |
0f2d19dd JB |
2133 | |
2134 | /* By here, must have seen a digit, | |
2135 | or must have next char be a `.' with radix==10 */ | |
2136 | if (!flg) | |
f872b822 | 2137 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2138 | return SCM_BOOL_F; |
2139 | ||
f872b822 MD |
2140 | while (str[i] == '#') |
2141 | { /* optional sharps */ | |
2142 | res *= radix; | |
2143 | if (++i == len) | |
2144 | goto done; | |
0f2d19dd | 2145 | } |
0f2d19dd | 2146 | |
f872b822 MD |
2147 | if (str[i] == '/') |
2148 | { | |
2149 | while (++i < len) | |
2150 | { | |
2151 | switch (c = str[i]) | |
2152 | { | |
2153 | case DIGITS: | |
2154 | c = c - '0'; | |
2155 | goto accum2; | |
2156 | case 'A': | |
2157 | case 'B': | |
2158 | case 'C': | |
2159 | case 'D': | |
2160 | case 'E': | |
2161 | case 'F': | |
2162 | c = c - 'A' + 10; | |
2163 | goto accum2; | |
2164 | case 'a': | |
2165 | case 'b': | |
2166 | case 'c': | |
2167 | case 'd': | |
2168 | case 'e': | |
2169 | case 'f': | |
2170 | c = c - 'a' + 10; | |
2171 | accum2: | |
2172 | if (c >= radix) | |
2173 | return SCM_BOOL_F; | |
2174 | tmp = tmp * radix + c; | |
2175 | break; | |
2176 | default: | |
2177 | goto out2; | |
2178 | } | |
2179 | } | |
2180 | out2: | |
2181 | if (tmp == 0.0) | |
2182 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2183 | if (i < len) | |
2184 | while (str[i] == '#') | |
2185 | { /* optional sharps */ | |
2186 | tmp *= radix; | |
2187 | if (++i == len) | |
2188 | break; | |
2189 | } | |
2190 | res /= tmp; | |
2191 | goto done; | |
0f2d19dd | 2192 | } |
f872b822 MD |
2193 | |
2194 | if (str[i] == '.') | |
2195 | { /* decimal point notation */ | |
2196 | if (radix != 10) | |
2197 | return SCM_BOOL_F; /* must be radix 10 */ | |
2198 | while (++i < len) | |
2199 | { | |
2200 | switch (c = str[i]) | |
2201 | { | |
2202 | case DIGITS: | |
2203 | point--; | |
2204 | res = res * 10.0 + c - '0'; | |
2205 | flg = 1; | |
2206 | break; | |
2207 | default: | |
2208 | goto out3; | |
2209 | } | |
2210 | } | |
2211 | out3: | |
2212 | if (!flg) | |
2213 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2214 | if (i == len) | |
2215 | goto adjust; | |
2216 | while (str[i] == '#') | |
2217 | { /* ignore remaining sharps */ | |
2218 | if (++i == len) | |
2219 | goto adjust; | |
2220 | } | |
0f2d19dd | 2221 | } |
0f2d19dd | 2222 | |
f872b822 MD |
2223 | switch (str[i]) |
2224 | { /* exponent */ | |
2225 | case 'd': | |
2226 | case 'D': | |
2227 | case 'e': | |
2228 | case 'E': | |
2229 | case 'f': | |
2230 | case 'F': | |
2231 | case 'l': | |
2232 | case 'L': | |
2233 | case 's': | |
2234 | case 'S': | |
2235 | { | |
2236 | int expsgn = 1, expon = 0; | |
2237 | if (radix != 10) | |
2238 | return SCM_BOOL_F; /* only in radix 10 */ | |
2239 | if (++i == len) | |
2240 | return SCM_BOOL_F; /* bad exponent */ | |
2241 | switch (str[i]) | |
2242 | { | |
2243 | case '-': | |
2244 | expsgn = (-1); | |
2245 | case '+': | |
2246 | if (++i == len) | |
2247 | return SCM_BOOL_F; /* bad exponent */ | |
2248 | } | |
2249 | if (str[i] < '0' || str[i] > '9') | |
2250 | return SCM_BOOL_F; /* bad exponent */ | |
2251 | do | |
2252 | { | |
2253 | switch (c = str[i]) | |
2254 | { | |
2255 | case DIGITS: | |
2256 | expon = expon * 10 + c - '0'; | |
2257 | if (expon > MAXEXP) | |
2258 | return SCM_BOOL_F; /* exponent too large */ | |
2259 | break; | |
2260 | default: | |
2261 | goto out4; | |
2262 | } | |
2263 | } | |
2264 | while (++i < len); | |
2265 | out4: | |
2266 | point += expsgn * expon; | |
0f2d19dd | 2267 | } |
f872b822 | 2268 | } |
0f2d19dd JB |
2269 | |
2270 | adjust: | |
2271 | if (point >= 0) | |
f872b822 MD |
2272 | while (point--) |
2273 | res *= 10.0; | |
0f2d19dd | 2274 | else |
f872b822 MD |
2275 | #ifdef _UNICOS |
2276 | while (point++) | |
2277 | res *= 0.1; | |
2278 | #else | |
2279 | while (point++) | |
2280 | res /= 10.0; | |
2281 | #endif | |
0f2d19dd JB |
2282 | |
2283 | done: | |
2284 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2285 | if (lead_sgn == -1.0) |
2286 | res = -res; | |
2287 | if (i == len) | |
2288 | return scm_makdbl (res, 0.0); | |
2289 | ||
2290 | if (str[i] == 'i' || str[i] == 'I') | |
2291 | { /* pure imaginary number */ | |
2292 | if (lead_sgn == 0.0) | |
2293 | return SCM_BOOL_F; /* must have leading sign */ | |
2294 | if (++i < len) | |
2295 | return SCM_BOOL_F; /* `i' not last character */ | |
2296 | return scm_makdbl (0.0, res); | |
2297 | } | |
0f2d19dd | 2298 | |
f872b822 MD |
2299 | switch (str[i++]) |
2300 | { | |
2301 | case '-': | |
2302 | lead_sgn = -1.0; | |
2303 | break; | |
2304 | case '+': | |
2305 | lead_sgn = 1.0; | |
2306 | break; | |
2307 | case '@': | |
2308 | { /* polar input for complex number */ | |
2309 | /* get a `real' for scm_angle */ | |
2310 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
2311 | if (!(SCM_INEXP (second))) | |
2312 | return SCM_BOOL_F; /* not `real' */ | |
2313 | if (SCM_CPLXP (second)) | |
2314 | return SCM_BOOL_F; /* not `real' */ | |
2315 | tmp = SCM_REALPART (second); | |
2316 | return scm_makdbl (res * cos (tmp), res * sin (tmp)); | |
2317 | } | |
2318 | default: | |
2319 | return SCM_BOOL_F; | |
2320 | } | |
0f2d19dd JB |
2321 | |
2322 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2323 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2324 | return SCM_BOOL_F; | |
0f2d19dd | 2325 | /* handles `x+i' and `x-i' */ |
f872b822 MD |
2326 | if (i == (len - 1)) |
2327 | return scm_makdbl (res, lead_sgn); | |
0f2d19dd | 2328 | /* get a `ureal' for complex part */ |
f872b822 MD |
2329 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
2330 | if (!(SCM_INEXP (second))) | |
2331 | return SCM_BOOL_F; /* not `ureal' */ | |
2332 | if (SCM_CPLXP (second)) | |
2333 | return SCM_BOOL_F; /* not `ureal' */ | |
2334 | tmp = SCM_REALPART (second); | |
2335 | if (tmp < 0.0) | |
2336 | return SCM_BOOL_F; /* not `ureal' */ | |
2337 | return scm_makdbl (res, (lead_sgn * tmp)); | |
0f2d19dd | 2338 | } |
f872b822 | 2339 | #endif /* SCM_FLOATS */ |
0f2d19dd JB |
2340 | |
2341 | ||
1cc91f1b | 2342 | |
0f2d19dd | 2343 | SCM |
f872b822 | 2344 | scm_istring2number (str, len, radix) |
0f2d19dd JB |
2345 | char *str; |
2346 | long len; | |
2347 | long radix; | |
0f2d19dd JB |
2348 | { |
2349 | int i = 0; | |
2350 | char ex = 0; | |
2351 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2352 | SCM res; | |
f872b822 MD |
2353 | if (len == 1) |
2354 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2355 | return SCM_BOOL_F; |
2356 | ||
f872b822 MD |
2357 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2358 | switch (str[i++]) | |
2359 | { | |
2360 | case 'b': | |
2361 | case 'B': | |
2362 | if (rx_p++) | |
2363 | return SCM_BOOL_F; | |
2364 | radix = 2; | |
2365 | break; | |
2366 | case 'o': | |
2367 | case 'O': | |
2368 | if (rx_p++) | |
2369 | return SCM_BOOL_F; | |
2370 | radix = 8; | |
2371 | break; | |
2372 | case 'd': | |
2373 | case 'D': | |
2374 | if (rx_p++) | |
2375 | return SCM_BOOL_F; | |
2376 | radix = 10; | |
2377 | break; | |
2378 | case 'x': | |
2379 | case 'X': | |
2380 | if (rx_p++) | |
2381 | return SCM_BOOL_F; | |
2382 | radix = 16; | |
2383 | break; | |
2384 | case 'i': | |
2385 | case 'I': | |
2386 | if (ex_p++) | |
2387 | return SCM_BOOL_F; | |
2388 | ex = 2; | |
2389 | break; | |
2390 | case 'e': | |
2391 | case 'E': | |
2392 | if (ex_p++) | |
2393 | return SCM_BOOL_F; | |
2394 | ex = 1; | |
2395 | break; | |
2396 | default: | |
2397 | return SCM_BOOL_F; | |
2398 | } | |
2399 | ||
2400 | switch (ex) | |
2401 | { | |
2402 | case 1: | |
2403 | return scm_istr2int (&str[i], len - i, radix); | |
2404 | case 0: | |
2405 | res = scm_istr2int (&str[i], len - i, radix); | |
2406 | if (SCM_NFALSEP (res)) | |
2407 | return res; | |
0f2d19dd | 2408 | #ifdef SCM_FLOATS |
f872b822 MD |
2409 | case 2: |
2410 | return scm_istr2flo (&str[i], len - i, radix); | |
0f2d19dd | 2411 | #endif |
f872b822 | 2412 | } |
0f2d19dd JB |
2413 | return SCM_BOOL_F; |
2414 | } | |
2415 | ||
2416 | ||
f872b822 | 2417 | SCM_PROC (s_string_to_number, "string->number", 1, 1, 0, scm_string_to_number); |
1cc91f1b | 2418 | |
0f2d19dd | 2419 | SCM |
f872b822 | 2420 | scm_string_to_number (str, radix) |
0f2d19dd JB |
2421 | SCM str; |
2422 | SCM radix; | |
0f2d19dd JB |
2423 | { |
2424 | SCM answer; | |
f872b822 MD |
2425 | if (SCM_UNBNDP (radix)) |
2426 | radix = SCM_MAKINUM (10L); | |
2427 | else | |
2428 | SCM_ASSERT (SCM_INUMP (radix), radix, SCM_ARG2, s_string_to_number); | |
2429 | SCM_ASSERT (SCM_NIMP (str) && SCM_ROSTRINGP (str), | |
2430 | str, SCM_ARG1, s_string_to_number); | |
2431 | answer = scm_istring2number (SCM_ROCHARS (str), | |
2432 | SCM_ROLENGTH (str), | |
2433 | SCM_INUM (radix)); | |
0f2d19dd JB |
2434 | return scm_return_first (answer, str); |
2435 | } | |
2436 | /*** END strs->nums ***/ | |
2437 | ||
2438 | #ifdef SCM_FLOATS | |
1cc91f1b | 2439 | |
0f2d19dd JB |
2440 | SCM |
2441 | scm_makdbl (x, y) | |
2442 | double x; | |
2443 | double y; | |
0f2d19dd JB |
2444 | { |
2445 | SCM z; | |
f872b822 MD |
2446 | if ((y == 0.0) && (x == 0.0)) |
2447 | return scm_flo0; | |
2448 | SCM_NEWCELL (z); | |
0f2d19dd | 2449 | SCM_DEFER_INTS; |
f872b822 MD |
2450 | if (y == 0.0) |
2451 | { | |
2452 | #ifdef SCM_SINGLES | |
2453 | float fx = x; | |
2454 | #ifndef SCM_SINGLESONLY | |
2455 | if ((-FLTMAX < x) && (x < FLTMAX) && (fx == x)) | |
2456 | #endif | |
2457 | { | |
2458 | SCM_SETCAR (z, scm_tc_flo); | |
2459 | SCM_FLO (z) = x; | |
2460 | SCM_ALLOW_INTS; | |
2461 | return z; | |
2462 | } | |
2463 | #endif /* def SCM_SINGLES */ | |
2464 | SCM_SETCDR (z, (SCM) scm_must_malloc (1L * sizeof (double), "real")); | |
2465 | SCM_SETCAR (z, scm_tc_dblr); | |
2466 | } | |
2467 | else | |
2468 | { | |
2469 | SCM_SETCDR (z, (SCM) scm_must_malloc (2L * sizeof (double), "complex")); | |
2470 | SCM_SETCAR (z, scm_tc_dblc); | |
2471 | SCM_IMAG (z) = y; | |
2472 | } | |
2473 | SCM_REAL (z) = x; | |
0f2d19dd JB |
2474 | SCM_ALLOW_INTS; |
2475 | return z; | |
2476 | } | |
2477 | #endif | |
2478 | ||
2479 | ||
1cc91f1b | 2480 | |
0f2d19dd | 2481 | SCM |
f872b822 | 2482 | scm_bigequal (x, y) |
0f2d19dd JB |
2483 | SCM x; |
2484 | SCM y; | |
0f2d19dd JB |
2485 | { |
2486 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2487 | if (0 == scm_bigcomp (x, y)) |
2488 | return SCM_BOOL_T; | |
0f2d19dd JB |
2489 | #endif |
2490 | return SCM_BOOL_F; | |
2491 | } | |
2492 | ||
2493 | ||
1cc91f1b | 2494 | |
0f2d19dd | 2495 | SCM |
f872b822 | 2496 | scm_floequal (x, y) |
0f2d19dd JB |
2497 | SCM x; |
2498 | SCM y; | |
0f2d19dd JB |
2499 | { |
2500 | #ifdef SCM_FLOATS | |
f872b822 MD |
2501 | if (SCM_REALPART (x) != SCM_REALPART (y)) |
2502 | return SCM_BOOL_F; | |
2503 | if (!(SCM_CPLXP (x) && (SCM_IMAG (x) != SCM_IMAG (y)))) | |
2504 | return SCM_BOOL_T; | |
0f2d19dd JB |
2505 | #endif |
2506 | return SCM_BOOL_F; | |
2507 | } | |
2508 | ||
2509 | ||
2510 | ||
2511 | ||
f872b822 MD |
2512 | SCM_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
2513 | SCM_PROC (s_complex_p, "complex?", 1, 0, 0, scm_number_p); | |
1cc91f1b | 2514 | |
0f2d19dd | 2515 | SCM |
f872b822 | 2516 | scm_number_p (x) |
0f2d19dd | 2517 | SCM x; |
0f2d19dd | 2518 | { |
f872b822 MD |
2519 | if (SCM_INUMP (x)) |
2520 | return SCM_BOOL_T; | |
0f2d19dd | 2521 | #ifdef SCM_FLOATS |
f872b822 MD |
2522 | if (SCM_NIMP (x) && SCM_NUMP (x)) |
2523 | return SCM_BOOL_T; | |
0f2d19dd | 2524 | #else |
f872b822 MD |
2525 | #ifdef SCM_BIGDIG |
2526 | if (SCM_NIMP (x) && SCM_NUMP (x)) | |
2527 | return SCM_BOOL_T; | |
2528 | #endif | |
0f2d19dd JB |
2529 | #endif |
2530 | return SCM_BOOL_F; | |
2531 | } | |
2532 | ||
2533 | ||
2534 | ||
2535 | #ifdef SCM_FLOATS | |
f872b822 MD |
2536 | SCM_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
2537 | SCM_PROC (s_rational_p, "rational?", 1, 0, 0, scm_real_p); | |
1cc91f1b | 2538 | |
0f2d19dd | 2539 | SCM |
f872b822 | 2540 | scm_real_p (x) |
0f2d19dd | 2541 | SCM x; |
0f2d19dd | 2542 | { |
f872b822 | 2543 | if (SCM_INUMP (x)) |
0f2d19dd | 2544 | return SCM_BOOL_T; |
f872b822 | 2545 | if (SCM_IMP (x)) |
0f2d19dd | 2546 | return SCM_BOOL_F; |
f872b822 | 2547 | if (SCM_REALP (x)) |
0f2d19dd | 2548 | return SCM_BOOL_T; |
f872b822 MD |
2549 | #ifdef SCM_BIGDIG |
2550 | if (SCM_BIGP (x)) | |
0f2d19dd | 2551 | return SCM_BOOL_T; |
f872b822 | 2552 | #endif |
0f2d19dd JB |
2553 | return SCM_BOOL_F; |
2554 | } | |
2555 | ||
2556 | ||
2557 | ||
f872b822 | 2558 | SCM_PROC (s_int_p, "integer?", 1, 0, 0, scm_integer_p); |
1cc91f1b | 2559 | |
0f2d19dd | 2560 | SCM |
f872b822 | 2561 | scm_integer_p (x) |
0f2d19dd | 2562 | SCM x; |
0f2d19dd JB |
2563 | { |
2564 | double r; | |
f872b822 MD |
2565 | if (SCM_INUMP (x)) |
2566 | return SCM_BOOL_T; | |
2567 | if (SCM_IMP (x)) | |
2568 | return SCM_BOOL_F; | |
2569 | #ifdef SCM_BIGDIG | |
2570 | if (SCM_BIGP (x)) | |
2571 | return SCM_BOOL_T; | |
2572 | #endif | |
2573 | if (!SCM_INEXP (x)) | |
2574 | return SCM_BOOL_F; | |
2575 | if (SCM_CPLXP (x)) | |
2576 | return SCM_BOOL_F; | |
2577 | r = SCM_REALPART (x); | |
2578 | if (r == floor (r)) | |
2579 | return SCM_BOOL_T; | |
0f2d19dd JB |
2580 | return SCM_BOOL_F; |
2581 | } | |
2582 | ||
2583 | ||
2584 | ||
f872b822 | 2585 | #endif /* SCM_FLOATS */ |
0f2d19dd | 2586 | |
f872b822 | 2587 | SCM_PROC (s_inexact_p, "inexact?", 1, 0, 0, scm_inexact_p); |
1cc91f1b | 2588 | |
0f2d19dd | 2589 | SCM |
f872b822 | 2590 | scm_inexact_p (x) |
0f2d19dd | 2591 | SCM x; |
0f2d19dd JB |
2592 | { |
2593 | #ifdef SCM_FLOATS | |
f872b822 MD |
2594 | if (SCM_NIMP (x) && SCM_INEXP (x)) |
2595 | return SCM_BOOL_T; | |
0f2d19dd JB |
2596 | #endif |
2597 | return SCM_BOOL_F; | |
2598 | } | |
2599 | ||
2600 | ||
2601 | ||
2602 | ||
f693191c | 2603 | SCM_PROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p); |
1cc91f1b | 2604 | |
0f2d19dd JB |
2605 | SCM |
2606 | scm_num_eq_p (x, y) | |
2607 | SCM x; | |
2608 | SCM y; | |
0f2d19dd JB |
2609 | { |
2610 | #ifdef SCM_FLOATS | |
2611 | SCM t; | |
f872b822 MD |
2612 | if (SCM_NINUMP (x)) |
2613 | { | |
2614 | #ifdef SCM_BIGDIG | |
2615 | #ifndef SCM_RECKLESS | |
2616 | if (!(SCM_NIMP (x))) | |
2617 | { | |
2618 | badx: | |
2619 | scm_wta (x, (char *) SCM_ARG1, s_eq_p); | |
2620 | } | |
2621 | #endif | |
2622 | if (SCM_BIGP (x)) | |
2623 | { | |
2624 | if (SCM_INUMP (y)) | |
2625 | return SCM_BOOL_F; | |
2626 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2627 | if (SCM_BIGP (y)) | |
2628 | return (0 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F; | |
2629 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
2630 | bigreal: | |
2631 | return ((SCM_REALP (y) && (scm_big2dbl (x) == SCM_REALPART (y))) | |
2632 | ? SCM_BOOL_T | |
2633 | : SCM_BOOL_F); | |
2634 | } | |
2635 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
0f2d19dd | 2636 | #else |
f872b822 MD |
2637 | SCM_ASSERT (SCM_NIMP (x) && SCM_INEXP (x), x, SCM_ARG1, s_eq_p); |
2638 | #endif | |
2639 | if (SCM_INUMP (y)) | |
2640 | { | |
2641 | t = x; | |
2642 | x = y; | |
2643 | y = t; | |
2644 | goto realint; | |
2645 | } | |
2646 | #ifdef SCM_BIGDIG | |
2647 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2648 | if (SCM_BIGP (y)) | |
2649 | { | |
2650 | t = x; | |
2651 | x = y; | |
2652 | y = t; | |
2653 | goto bigreal; | |
2654 | } | |
2655 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
2656 | #else | |
2657 | SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady); | |
2658 | #endif | |
2659 | if (SCM_REALPART (x) != SCM_REALPART (y)) | |
2660 | return SCM_BOOL_F; | |
2661 | if (SCM_CPLXP (x)) | |
2662 | return ((SCM_CPLXP (y) && (SCM_IMAG (x) == SCM_IMAG (y))) | |
2663 | ? SCM_BOOL_T | |
2664 | : SCM_BOOL_F); | |
2665 | return SCM_CPLXP (y) ? SCM_BOOL_F : SCM_BOOL_T; | |
2666 | } | |
2667 | if (SCM_NINUMP (y)) | |
2668 | { | |
2669 | #ifdef SCM_BIGDIG | |
2670 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2671 | if (SCM_BIGP (y)) | |
2672 | return SCM_BOOL_F; | |
2673 | #ifndef SCM_RECKLESS | |
2674 | if (!(SCM_INEXP (y))) | |
2675 | { | |
2676 | bady: | |
2677 | scm_wta (y, (char *) SCM_ARG2, s_eq_p); | |
2678 | } | |
2679 | #endif | |
2680 | #else | |
2681 | #ifndef SCM_RECKLESS | |
2682 | if (!(SCM_NIMP (y) && SCM_INEXP (y))) | |
2683 | { | |
2684 | bady: | |
2685 | scm_wta (y, (char *) SCM_ARG2, s_eq_p); | |
2686 | } | |
2687 | #endif | |
2688 | #endif | |
2689 | realint: | |
2690 | return ((SCM_REALP (y) && (((double) SCM_INUM (x)) == SCM_REALPART (y))) | |
2691 | ? SCM_BOOL_T | |
2692 | : SCM_BOOL_F); | |
2693 | } | |
2694 | #else | |
2695 | #ifdef SCM_BIGDIG | |
2696 | if (SCM_NINUMP (x)) | |
2697 | { | |
2698 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_eq_p); | |
2699 | if (SCM_INUMP (y)) | |
2700 | return SCM_BOOL_F; | |
2701 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
2702 | return (0 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F; | |
2703 | } | |
2704 | if (SCM_NINUMP (y)) | |
2705 | { | |
2706 | #ifndef SCM_RECKLESS | |
2707 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
2708 | { | |
2709 | bady: | |
2710 | scm_wta (y, (char *) SCM_ARG2, s_eq_p); | |
2711 | } | |
2712 | #endif | |
2713 | return SCM_BOOL_F; | |
2714 | } | |
2715 | #else | |
2716 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_eq_p); | |
2717 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_eq_p); | |
0f2d19dd | 2718 | #endif |
f872b822 MD |
2719 | #endif |
2720 | return ((long) x == (long) y) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd JB |
2721 | } |
2722 | ||
2723 | ||
2724 | ||
f693191c | 2725 | SCM_PROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p); |
1cc91f1b | 2726 | |
0f2d19dd | 2727 | SCM |
f872b822 | 2728 | scm_less_p (x, y) |
0f2d19dd JB |
2729 | SCM x; |
2730 | SCM y; | |
0f2d19dd JB |
2731 | { |
2732 | #ifdef SCM_FLOATS | |
f872b822 MD |
2733 | if (SCM_NINUMP (x)) |
2734 | { | |
2735 | #ifdef SCM_BIGDIG | |
2736 | #ifndef SCM_RECKLESS | |
2737 | if (!(SCM_NIMP (x))) | |
2738 | { | |
2739 | badx: | |
2740 | scm_wta (x, (char *) SCM_ARG1, s_less_p); | |
2741 | } | |
2742 | #endif | |
2743 | if (SCM_BIGP (x)) | |
2744 | { | |
2745 | if (SCM_INUMP (y)) | |
2746 | return SCM_BIGSIGN (x) ? SCM_BOOL_T : SCM_BOOL_F; | |
2747 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2748 | if (SCM_BIGP (y)) | |
2749 | return (1 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F; | |
2750 | SCM_ASRTGO (SCM_REALP (y), bady); | |
2751 | return ((scm_big2dbl (x) < SCM_REALPART (y)) | |
2752 | ? SCM_BOOL_T | |
2753 | : SCM_BOOL_F); | |
2754 | } | |
2755 | SCM_ASRTGO (SCM_REALP (x), badx); | |
0f2d19dd | 2756 | #else |
f872b822 MD |
2757 | SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_less_p); |
2758 | #endif | |
2759 | if (SCM_INUMP (y)) | |
2760 | return ((SCM_REALPART (x) < ((double) SCM_INUM (y))) | |
2761 | ? SCM_BOOL_T | |
2762 | : SCM_BOOL_F); | |
2763 | #ifdef SCM_BIGDIG | |
2764 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2765 | if (SCM_BIGP (y)) | |
2766 | return (SCM_REALPART (x) < scm_big2dbl (y)) ? SCM_BOOL_T : SCM_BOOL_F; | |
2767 | SCM_ASRTGO (SCM_REALP (y), bady); | |
2768 | #else | |
2769 | SCM_ASRTGO (SCM_NIMP (y) && SCM_REALP (y), bady); | |
2770 | #endif | |
2771 | return (SCM_REALPART (x) < SCM_REALPART (y)) ? SCM_BOOL_T : SCM_BOOL_F; | |
2772 | } | |
2773 | if (SCM_NINUMP (y)) | |
2774 | { | |
2775 | #ifdef SCM_BIGDIG | |
2776 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2777 | if (SCM_BIGP (y)) | |
2778 | return SCM_BIGSIGN (y) ? SCM_BOOL_F : SCM_BOOL_T; | |
2779 | #ifndef SCM_RECKLESS | |
2780 | if (!(SCM_REALP (y))) | |
2781 | { | |
2782 | bady: | |
2783 | scm_wta (y, (char *) SCM_ARG2, s_less_p); | |
2784 | } | |
2785 | #endif | |
2786 | #else | |
2787 | #ifndef SCM_RECKLESS | |
2788 | if (!(SCM_NIMP (y) && SCM_REALP (y))) | |
2789 | { | |
2790 | bady: | |
2791 | scm_wta (y, (char *) SCM_ARG2, s_less_p); | |
2792 | } | |
2793 | #endif | |
2794 | #endif | |
2795 | return ((((double) SCM_INUM (x)) < SCM_REALPART (y)) | |
2796 | ? SCM_BOOL_T | |
2797 | : SCM_BOOL_F); | |
2798 | } | |
2799 | #else | |
2800 | #ifdef SCM_BIGDIG | |
2801 | if (SCM_NINUMP (x)) | |
2802 | { | |
2803 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_less_p); | |
2804 | if (SCM_INUMP (y)) | |
2805 | return SCM_BIGSIGN (x) ? SCM_BOOL_T : SCM_BOOL_F; | |
2806 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
2807 | return (1 == scm_bigcomp (x, y)) ? SCM_BOOL_T : SCM_BOOL_F; | |
2808 | } | |
2809 | if (SCM_NINUMP (y)) | |
2810 | { | |
2811 | #ifndef SCM_RECKLESS | |
2812 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
2813 | { | |
2814 | bady: | |
2815 | scm_wta (y, (char *) SCM_ARG2, s_less_p); | |
2816 | } | |
2817 | #endif | |
2818 | return SCM_BIGSIGN (y) ? SCM_BOOL_F : SCM_BOOL_T; | |
2819 | } | |
2820 | #else | |
2821 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_less_p); | |
2822 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_less_p); | |
0f2d19dd | 2823 | #endif |
f872b822 MD |
2824 | #endif |
2825 | return ((long) x < (long) y) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd JB |
2826 | } |
2827 | ||
2828 | ||
f693191c | 2829 | SCM_PROC1 (s_gr_p, ">", scm_tc7_rpsubr, scm_gr_p); |
1cc91f1b | 2830 | |
0f2d19dd | 2831 | SCM |
f872b822 | 2832 | scm_gr_p (x, y) |
0f2d19dd JB |
2833 | SCM x; |
2834 | SCM y; | |
0f2d19dd | 2835 | { |
f872b822 | 2836 | return scm_less_p (y, x); |
0f2d19dd JB |
2837 | } |
2838 | ||
2839 | ||
2840 | ||
f693191c | 2841 | SCM_PROC1 (s_leq_p, "<=", scm_tc7_rpsubr, scm_leq_p); |
1cc91f1b | 2842 | |
0f2d19dd | 2843 | SCM |
f872b822 | 2844 | scm_leq_p (x, y) |
0f2d19dd JB |
2845 | SCM x; |
2846 | SCM y; | |
0f2d19dd | 2847 | { |
f872b822 | 2848 | return SCM_BOOL_NOT (scm_less_p (y, x)); |
0f2d19dd JB |
2849 | } |
2850 | ||
2851 | ||
2852 | ||
f693191c | 2853 | SCM_PROC1 (s_geq_p, ">=", scm_tc7_rpsubr, scm_geq_p); |
1cc91f1b | 2854 | |
0f2d19dd | 2855 | SCM |
f872b822 | 2856 | scm_geq_p (x, y) |
0f2d19dd JB |
2857 | SCM x; |
2858 | SCM y; | |
0f2d19dd | 2859 | { |
f872b822 | 2860 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd JB |
2861 | } |
2862 | ||
2863 | ||
2864 | ||
f872b822 | 2865 | SCM_PROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p); |
1cc91f1b | 2866 | |
0f2d19dd | 2867 | SCM |
f872b822 | 2868 | scm_zero_p (z) |
0f2d19dd | 2869 | SCM z; |
0f2d19dd JB |
2870 | { |
2871 | #ifdef SCM_FLOATS | |
f872b822 MD |
2872 | if (SCM_NINUMP (z)) |
2873 | { | |
2874 | #ifdef SCM_BIGDIG | |
2875 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
2876 | if (SCM_BIGP (z)) | |
2877 | return SCM_BOOL_F; | |
2878 | #ifndef SCM_RECKLESS | |
2879 | if (!(SCM_INEXP (z))) | |
2880 | { | |
2881 | badz: | |
2882 | scm_wta (z, (char *) SCM_ARG1, s_zero_p); | |
2883 | } | |
2884 | #endif | |
0f2d19dd | 2885 | #else |
f872b822 MD |
2886 | SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_zero_p); |
2887 | #endif | |
2888 | return (z == scm_flo0) ? SCM_BOOL_T : SCM_BOOL_F; | |
2889 | } | |
2890 | #else | |
2891 | #ifdef SCM_BIGDIG | |
2892 | if (SCM_NINUMP (z)) | |
2893 | { | |
2894 | SCM_ASSERT (SCM_NIMP (z) && SCM_BIGP (z), z, SCM_ARG1, s_zero_p); | |
2895 | return SCM_BOOL_F; | |
2896 | } | |
2897 | #else | |
2898 | SCM_ASSERT (SCM_INUMP (z), z, SCM_ARG1, s_zero_p); | |
0f2d19dd | 2899 | #endif |
f872b822 MD |
2900 | #endif |
2901 | return (z == SCM_INUM0) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd JB |
2902 | } |
2903 | ||
2904 | ||
2905 | ||
f872b822 | 2906 | SCM_PROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p); |
1cc91f1b | 2907 | |
0f2d19dd | 2908 | SCM |
f872b822 | 2909 | scm_positive_p (x) |
0f2d19dd | 2910 | SCM x; |
0f2d19dd JB |
2911 | { |
2912 | #ifdef SCM_FLOATS | |
f872b822 MD |
2913 | if (SCM_NINUMP (x)) |
2914 | { | |
2915 | #ifdef SCM_BIGDIG | |
2916 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
2917 | if (SCM_BIGP (x)) | |
2918 | return SCM_TYP16 (x) == scm_tc16_bigpos ? SCM_BOOL_T : SCM_BOOL_F; | |
2919 | #ifndef SCM_RECKLESS | |
2920 | if (!(SCM_REALP (x))) | |
2921 | { | |
2922 | badx: | |
2923 | scm_wta (x, (char *) SCM_ARG1, s_positive_p); | |
2924 | } | |
2925 | #endif | |
0f2d19dd | 2926 | #else |
f872b822 MD |
2927 | SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_positive_p); |
2928 | #endif | |
2929 | return (SCM_REALPART (x) > 0.0) ? SCM_BOOL_T : SCM_BOOL_F; | |
2930 | } | |
2931 | #else | |
2932 | #ifdef SCM_BIGDIG | |
2933 | if (SCM_NINUMP (x)) | |
2934 | { | |
2935 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_positive_p); | |
2936 | return SCM_TYP16 (x) == scm_tc16_bigpos ? SCM_BOOL_T : SCM_BOOL_F; | |
2937 | } | |
2938 | #else | |
2939 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_positive_p); | |
2940 | #endif | |
0f2d19dd JB |
2941 | #endif |
2942 | return (x > SCM_INUM0) ? SCM_BOOL_T : SCM_BOOL_F; | |
2943 | } | |
2944 | ||
2945 | ||
2946 | ||
f872b822 | 2947 | SCM_PROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p); |
1cc91f1b | 2948 | |
0f2d19dd | 2949 | SCM |
f872b822 | 2950 | scm_negative_p (x) |
0f2d19dd | 2951 | SCM x; |
0f2d19dd JB |
2952 | { |
2953 | #ifdef SCM_FLOATS | |
f872b822 MD |
2954 | if (SCM_NINUMP (x)) |
2955 | { | |
2956 | #ifdef SCM_BIGDIG | |
2957 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
2958 | if (SCM_BIGP (x)) | |
2959 | return SCM_TYP16 (x) == scm_tc16_bigpos ? SCM_BOOL_F : SCM_BOOL_T; | |
2960 | #ifndef SCM_RECKLESS | |
2961 | if (!(SCM_REALP (x))) | |
2962 | { | |
2963 | badx: | |
2964 | scm_wta (x, (char *) SCM_ARG1, s_negative_p); | |
2965 | } | |
2966 | #endif | |
0f2d19dd | 2967 | #else |
f872b822 | 2968 | SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_negative_p); |
0f2d19dd | 2969 | #endif |
f872b822 MD |
2970 | return (SCM_REALPART (x) < 0.0) ? SCM_BOOL_T : SCM_BOOL_F; |
2971 | } | |
2972 | #else | |
2973 | #ifdef SCM_BIGDIG | |
2974 | if (SCM_NINUMP (x)) | |
2975 | { | |
2976 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_negative_p); | |
2977 | return (SCM_TYP16 (x) == scm_tc16_bigneg) ? SCM_BOOL_T : SCM_BOOL_F; | |
2978 | } | |
2979 | #else | |
2980 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_negative_p); | |
2981 | #endif | |
2982 | #endif | |
2983 | return (x < SCM_INUM0) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd JB |
2984 | } |
2985 | ||
2986 | ||
2987 | SCM_PROC1 (s_max, "max", scm_tc7_asubr, scm_max); | |
1cc91f1b | 2988 | |
0f2d19dd | 2989 | SCM |
f872b822 | 2990 | scm_max (x, y) |
0f2d19dd JB |
2991 | SCM x; |
2992 | SCM y; | |
0f2d19dd JB |
2993 | { |
2994 | #ifdef SCM_FLOATS | |
2995 | double z; | |
2996 | #endif | |
f872b822 MD |
2997 | if (SCM_UNBNDP (y)) |
2998 | { | |
cf7c17e9 | 2999 | #ifndef SCM_RECKLESS |
f872b822 MD |
3000 | if (!(SCM_NUMBERP (x))) |
3001 | { | |
3002 | badx: | |
3003 | scm_wta (x, (char *) SCM_ARG1, s_max); | |
3004 | } | |
0f2d19dd | 3005 | #endif |
f872b822 MD |
3006 | return x; |
3007 | } | |
0f2d19dd | 3008 | #ifdef SCM_FLOATS |
f872b822 MD |
3009 | if (SCM_NINUMP (x)) |
3010 | { | |
3011 | #ifdef SCM_BIGDIG | |
3012 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3013 | if (SCM_BIGP (x)) | |
3014 | { | |
3015 | if (SCM_INUMP (y)) | |
3016 | return SCM_BIGSIGN (x) ? y : x; | |
3017 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3018 | if (SCM_BIGP (y)) | |
3019 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
3020 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3021 | z = scm_big2dbl (x); | |
3022 | return (z < SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3023 | } | |
3024 | SCM_ASRTGO (SCM_REALP (x), badx); | |
0f2d19dd | 3025 | #else |
f872b822 MD |
3026 | SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_max); |
3027 | #endif | |
3028 | if (SCM_INUMP (y)) | |
3029 | return ((SCM_REALPART (x) < (z = SCM_INUM (y))) | |
3030 | ? scm_makdbl (z, 0.0) | |
3031 | : x); | |
3032 | #ifdef SCM_BIGDIG | |
3033 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3034 | if (SCM_BIGP (y)) | |
3035 | return ((SCM_REALPART (x) < (z = scm_big2dbl (y))) | |
3036 | ? scm_makdbl (z, 0.0) | |
3037 | : x); | |
3038 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3039 | #else | |
3040 | SCM_ASRTGO (SCM_NIMP (y) && SCM_REALP (y), bady); | |
3041 | #endif | |
3042 | return (SCM_REALPART (x) < SCM_REALPART (y)) ? y : x; | |
3043 | } | |
3044 | if (SCM_NINUMP (y)) | |
3045 | { | |
3046 | #ifdef SCM_BIGDIG | |
3047 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3048 | if (SCM_BIGP (y)) | |
3049 | return SCM_BIGSIGN (y) ? x : y; | |
3050 | #ifndef SCM_RECKLESS | |
3051 | if (!(SCM_REALP (y))) | |
3052 | { | |
3053 | bady: | |
3054 | scm_wta (y, (char *) SCM_ARG2, s_max); | |
3055 | } | |
0f2d19dd | 3056 | #endif |
f872b822 MD |
3057 | #else |
3058 | #ifndef SCM_RECKLESS | |
3059 | if (!(SCM_NIMP (y) && SCM_REALP (y))) | |
3060 | { | |
3061 | bady: | |
3062 | scm_wta (y, (char *) SCM_ARG2, s_max); | |
3063 | } | |
3064 | #endif | |
3065 | #endif | |
3066 | return (((z = SCM_INUM (x)) < SCM_REALPART (y)) | |
3067 | ? y | |
3068 | : scm_makdbl (z, 0.0)); | |
3069 | } | |
3070 | #else | |
3071 | #ifdef SCM_BIGDIG | |
3072 | if (SCM_NINUMP (x)) | |
3073 | { | |
3074 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_max); | |
3075 | if (SCM_INUMP (y)) | |
3076 | return SCM_BIGSIGN (x) ? y : x; | |
3077 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
3078 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
3079 | } | |
3080 | if (SCM_NINUMP (y)) | |
3081 | { | |
3082 | #ifndef SCM_RECKLESS | |
3083 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
3084 | { | |
3085 | bady: | |
3086 | scm_wta (y, (char *) SCM_ARG2, s_max); | |
3087 | } | |
3088 | #endif | |
3089 | return SCM_BIGSIGN (y) ? x : y; | |
3090 | } | |
3091 | #else | |
3092 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_max); | |
3093 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_max); | |
3094 | #endif | |
3095 | #endif | |
3096 | return ((long) x < (long) y) ? y : x; | |
0f2d19dd JB |
3097 | } |
3098 | ||
3099 | ||
3100 | ||
3101 | ||
3102 | SCM_PROC1 (s_min, "min", scm_tc7_asubr, scm_min); | |
1cc91f1b | 3103 | |
0f2d19dd | 3104 | SCM |
f872b822 | 3105 | scm_min (x, y) |
0f2d19dd JB |
3106 | SCM x; |
3107 | SCM y; | |
0f2d19dd JB |
3108 | { |
3109 | #ifdef SCM_FLOATS | |
3110 | double z; | |
3111 | #endif | |
f872b822 MD |
3112 | if (SCM_UNBNDP (y)) |
3113 | { | |
cf7c17e9 | 3114 | #ifndef SCM_RECKLESS |
f872b822 MD |
3115 | if (!(SCM_NUMBERP (x))) |
3116 | { | |
3117 | badx: | |
3118 | scm_wta (x, (char *) SCM_ARG1, s_min); | |
3119 | } | |
0f2d19dd | 3120 | #endif |
f872b822 MD |
3121 | return x; |
3122 | } | |
0f2d19dd | 3123 | #ifdef SCM_FLOATS |
f872b822 MD |
3124 | if (SCM_NINUMP (x)) |
3125 | { | |
3126 | #ifdef SCM_BIGDIG | |
3127 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3128 | if (SCM_BIGP (x)) | |
3129 | { | |
3130 | if (SCM_INUMP (y)) | |
3131 | return SCM_BIGSIGN (x) ? x : y; | |
3132 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3133 | if (SCM_BIGP (y)) | |
3134 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
3135 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3136 | z = scm_big2dbl (x); | |
3137 | return (z > SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3138 | } | |
3139 | SCM_ASRTGO (SCM_REALP (x), badx); | |
0f2d19dd | 3140 | #else |
f872b822 MD |
3141 | SCM_ASSERT (SCM_NIMP (x) && SCM_REALP (x), x, SCM_ARG1, s_min); |
3142 | #endif | |
3143 | if (SCM_INUMP (y)) | |
3144 | return ((SCM_REALPART (x) > (z = SCM_INUM (y))) | |
3145 | ? scm_makdbl (z, 0.0) | |
3146 | : x); | |
3147 | #ifdef SCM_BIGDIG | |
3148 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3149 | if (SCM_BIGP (y)) | |
3150 | return ((SCM_REALPART (x) > (z = scm_big2dbl (y))) | |
3151 | ? scm_makdbl (z, 0.0) | |
3152 | : x); | |
3153 | SCM_ASRTGO (SCM_REALP (y), bady); | |
3154 | #else | |
3155 | SCM_ASRTGO (SCM_NIMP (y) && SCM_REALP (y), bady); | |
3156 | #endif | |
3157 | return (SCM_REALPART (x) > SCM_REALPART (y)) ? y : x; | |
3158 | } | |
3159 | if (SCM_NINUMP (y)) | |
3160 | { | |
3161 | #ifdef SCM_BIGDIG | |
3162 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3163 | if (SCM_BIGP (y)) | |
3164 | return SCM_BIGSIGN (y) ? y : x; | |
3165 | #ifndef SCM_RECKLESS | |
3166 | if (!(SCM_REALP (y))) | |
3167 | { | |
3168 | bady: | |
3169 | scm_wta (y, (char *) SCM_ARG2, s_min); | |
3170 | } | |
3171 | #endif | |
3172 | #else | |
3173 | #ifndef SCM_RECKLESS | |
3174 | if (!(SCM_NIMP (y) && SCM_REALP (y))) | |
3175 | { | |
3176 | bady: | |
3177 | scm_wta (y, (char *) SCM_ARG2, s_min); | |
3178 | } | |
3179 | #endif | |
0f2d19dd | 3180 | #endif |
f872b822 MD |
3181 | return (((z = SCM_INUM (x)) > SCM_REALPART (y)) |
3182 | ? y | |
3183 | : scm_makdbl (z, 0.0)); | |
3184 | } | |
3185 | #else | |
3186 | #ifdef SCM_BIGDIG | |
3187 | if (SCM_NINUMP (x)) | |
3188 | { | |
3189 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_min); | |
3190 | if (SCM_INUMP (y)) | |
3191 | return SCM_BIGSIGN (x) ? x : y; | |
3192 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
3193 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
3194 | } | |
3195 | if (SCM_NINUMP (y)) | |
3196 | { | |
3197 | #ifndef SCM_RECKLESS | |
3198 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
3199 | { | |
3200 | bady: | |
3201 | scm_wta (y, (char *) SCM_ARG2, s_min); | |
3202 | } | |
3203 | #endif | |
3204 | return SCM_BIGSIGN (y) ? y : x; | |
3205 | } | |
3206 | #else | |
3207 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_min); | |
3208 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_min); | |
3209 | #endif | |
3210 | #endif | |
3211 | return ((long) x > (long) y) ? y : x; | |
0f2d19dd JB |
3212 | } |
3213 | ||
3214 | ||
3215 | ||
3216 | ||
3217 | SCM_PROC1 (s_sum, "+", scm_tc7_asubr, scm_sum); | |
1cc91f1b | 3218 | |
0f2d19dd | 3219 | SCM |
f872b822 | 3220 | scm_sum (x, y) |
0f2d19dd JB |
3221 | SCM x; |
3222 | SCM y; | |
0f2d19dd | 3223 | { |
f872b822 MD |
3224 | if (SCM_UNBNDP (y)) |
3225 | { | |
3226 | if (SCM_UNBNDP (x)) | |
3227 | return SCM_INUM0; | |
cf7c17e9 | 3228 | #ifndef SCM_RECKLESS |
f872b822 MD |
3229 | if (!(SCM_NUMBERP (x))) |
3230 | { | |
3231 | badx: | |
3232 | scm_wta (x, (char *) SCM_ARG1, s_sum); | |
3233 | } | |
0f2d19dd | 3234 | #endif |
f872b822 MD |
3235 | return x; |
3236 | } | |
0f2d19dd | 3237 | #ifdef SCM_FLOATS |
f872b822 MD |
3238 | if (SCM_NINUMP (x)) |
3239 | { | |
3240 | SCM t; | |
3241 | #ifdef SCM_BIGDIG | |
3242 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3243 | if (SCM_BIGP (x)) | |
3244 | { | |
3245 | if (SCM_INUMP (y)) | |
3246 | { | |
3247 | t = x; | |
3248 | x = y; | |
3249 | y = t; | |
3250 | goto intbig; | |
3251 | } | |
3252 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3253 | if (SCM_BIGP (y)) | |
3254 | { | |
3255 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) | |
3256 | { | |
3257 | t = x; | |
3258 | x = y; | |
3259 | y = t; | |
3260 | } | |
3261 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3262 | SCM_BIGSIGN (x), | |
3263 | y, 0); | |
3264 | } | |
3265 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3266 | bigreal: | |
3267 | return scm_makdbl (scm_big2dbl (x) + SCM_REALPART (y), | |
3268 | SCM_CPLXP (y) ? SCM_IMAG (y) : 0.0); | |
3269 | } | |
3270 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3271 | #else | |
3272 | SCM_ASRTGO (SCM_NIMP (x) && SCM_INEXP (x), badx); | |
3273 | #endif | |
3274 | if (SCM_INUMP (y)) | |
3275 | { | |
3276 | t = x; | |
3277 | x = y; | |
3278 | y = t; | |
3279 | goto intreal; | |
3280 | } | |
3281 | #ifdef SCM_BIGDIG | |
3282 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3283 | if (SCM_BIGP (y)) | |
3284 | { | |
3285 | t = x; | |
3286 | x = y; | |
3287 | y = t; | |
3288 | goto bigreal; | |
3289 | } | |
3290 | #ifndef SCM_RECKLESS | |
3291 | else if (!(SCM_INEXP (y))) | |
3292 | { | |
3293 | bady: | |
3294 | scm_wta (y, (char *) SCM_ARG2, s_sum); | |
3295 | } | |
3296 | #endif | |
3297 | #else | |
3298 | #ifndef SCM_RECKLESS | |
3299 | if (!(SCM_NIMP (y) && SCM_INEXP (y))) | |
3300 | { | |
3301 | bady: | |
3302 | scm_wta (y, (char *) SCM_ARG2, s_sum); | |
3303 | } | |
3304 | #endif | |
3305 | #endif | |
3306 | { | |
3307 | double i = 0.0; | |
3308 | if (SCM_CPLXP (x)) | |
3309 | i = SCM_IMAG (x); | |
3310 | if (SCM_CPLXP (y)) | |
3311 | i += SCM_IMAG (y); | |
3312 | return scm_makdbl (SCM_REALPART (x) + SCM_REALPART (y), i); | |
0f2d19dd | 3313 | } |
f872b822 MD |
3314 | } |
3315 | if (SCM_NINUMP (y)) | |
3316 | { | |
3317 | #ifdef SCM_BIGDIG | |
3318 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3319 | if (SCM_BIGP (y)) | |
3320 | { | |
3321 | intbig: | |
3322 | { | |
3323 | #ifndef SCM_DIGSTOOBIG | |
3324 | long z = scm_pseudolong (SCM_INUM (x)); | |
3325 | return scm_addbig ((SCM_BIGDIG *) & z, | |
3326 | SCM_DIGSPERLONG, | |
3327 | (x < 0) ? 0x0100 : 0, | |
3328 | y, 0); | |
0f2d19dd | 3329 | #else |
f872b822 MD |
3330 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3331 | scm_longdigs (SCM_INUM (x), zdigs); | |
3332 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3333 | y, 0); | |
3334 | #endif | |
3335 | } | |
3336 | } | |
3337 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3338 | #else | |
3339 | SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady); | |
3340 | #endif | |
3341 | intreal: | |
3342 | return scm_makdbl (SCM_INUM (x) + SCM_REALPART (y), | |
3343 | SCM_CPLXP (y) ? SCM_IMAG (y) : 0.0); | |
3344 | } | |
3345 | #else | |
3346 | #ifdef SCM_BIGDIG | |
3347 | if (SCM_NINUMP (x)) | |
3348 | { | |
3349 | SCM t; | |
3350 | SCM_ASRTGO (SCM_NIMP (x) && SCM_BIGP (x), badx); | |
3351 | if (SCM_INUMP (y)) | |
3352 | { | |
3353 | t = x; | |
3354 | x = y; | |
3355 | y = t; | |
3356 | goto intbig; | |
3357 | } | |
3358 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
3359 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) | |
3360 | { | |
3361 | t = x; | |
3362 | x = y; | |
3363 | y = t; | |
3364 | } | |
3365 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), SCM_BIGSIGN (x), | |
3366 | y, 0); | |
3367 | } | |
3368 | if (SCM_NINUMP (y)) | |
3369 | { | |
3370 | #ifndef SCM_RECKLESS | |
3371 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
3372 | { | |
3373 | bady: | |
3374 | scm_wta (y, (char *) SCM_ARG2, s_sum); | |
3375 | } | |
0f2d19dd | 3376 | #endif |
f872b822 MD |
3377 | intbig: |
3378 | { | |
3379 | #ifndef SCM_DIGSTOOBIG | |
3380 | long z = scm_pseudolong (SCM_INUM (x)); | |
3381 | return scm_addbig (&z, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, y, 0); | |
3382 | #else | |
3383 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3384 | scm_longdigs (SCM_INUM (x), zdigs); | |
3385 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, y, 0); | |
3386 | #endif | |
3387 | } | |
3388 | } | |
3389 | #else | |
3390 | SCM_ASRTGO (SCM_INUMP (x), badx); | |
3391 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_sum); | |
3392 | #endif | |
3393 | #endif | |
3394 | x = SCM_INUM (x) + SCM_INUM (y); | |
3395 | if (SCM_FIXABLE (x)) | |
3396 | return SCM_MAKINUM (x); | |
0f2d19dd | 3397 | #ifdef SCM_BIGDIG |
f872b822 MD |
3398 | return scm_long2big (x); |
3399 | #else | |
3400 | #ifdef SCM_FLOATS | |
3401 | return scm_makdbl ((double) x, 0.0); | |
0f2d19dd | 3402 | #else |
52859adf | 3403 | scm_num_overflow (s_sum); |
0f2d19dd | 3404 | return SCM_UNSPECIFIED; |
f872b822 | 3405 | #endif |
0f2d19dd JB |
3406 | #endif |
3407 | } | |
3408 | ||
3409 | ||
3410 | ||
3411 | ||
3412 | SCM_PROC1 (s_difference, "-", scm_tc7_asubr, scm_difference); | |
1cc91f1b | 3413 | |
0f2d19dd | 3414 | SCM |
f872b822 | 3415 | scm_difference (x, y) |
0f2d19dd JB |
3416 | SCM x; |
3417 | SCM y; | |
0f2d19dd JB |
3418 | { |
3419 | #ifdef SCM_FLOATS | |
f872b822 MD |
3420 | if (SCM_NINUMP (x)) |
3421 | { | |
3422 | #ifndef SCM_RECKLESS | |
3423 | if (!(SCM_NIMP (x))) | |
3424 | { | |
3425 | badx: | |
3426 | scm_wta (x, (char *) SCM_ARG1, s_difference); | |
3427 | } | |
3428 | #endif | |
3429 | if (SCM_UNBNDP (y)) | |
3430 | { | |
3431 | #ifdef SCM_BIGDIG | |
3432 | if (SCM_BIGP (x)) | |
3433 | { | |
3434 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3435 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3436 | <= sizeof (SCM) | |
3437 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3438 | : x); | |
3439 | } | |
3440 | #endif | |
3441 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3442 | return scm_makdbl (- SCM_REALPART (x), | |
3443 | SCM_CPLXP (x) ? -SCM_IMAG (x) : 0.0); | |
3444 | } | |
3445 | if (SCM_INUMP (y)) | |
3446 | return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y))); | |
3447 | #ifdef SCM_BIGDIG | |
3448 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3449 | if (SCM_BIGP (x)) | |
3450 | { | |
3451 | if (SCM_BIGP (y)) | |
3452 | return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3453 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3454 | SCM_BIGSIGN (x), | |
3455 | y, 0x0100) | |
3456 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3457 | SCM_BIGSIGN (y) ^ 0x0100, | |
3458 | x, 0)); | |
3459 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3460 | return scm_makdbl (scm_big2dbl (x) - SCM_REALPART (y), | |
3461 | SCM_CPLXP (y) ? -SCM_IMAG (y) : 0.0); | |
3462 | } | |
3463 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3464 | if (SCM_BIGP (y)) | |
3465 | return scm_makdbl (SCM_REALPART (x) - scm_big2dbl (y), | |
3466 | SCM_CPLXP (x) ? SCM_IMAG (x) : 0.0); | |
3467 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3468 | #else | |
3469 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3470 | SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady); | |
3471 | #endif | |
3472 | if (SCM_CPLXP (x)) | |
3473 | { | |
3474 | if (SCM_CPLXP (y)) | |
3475 | return scm_makdbl (SCM_REAL (x) - SCM_REAL (y), | |
3476 | SCM_IMAG (x) - SCM_IMAG (y)); | |
3477 | else | |
3478 | return scm_makdbl (SCM_REAL (x) - SCM_REALPART (y), SCM_IMAG (x)); | |
3479 | } | |
3480 | return scm_makdbl (SCM_REALPART (x) - SCM_REALPART (y), | |
3481 | SCM_CPLXP (y) ? - SCM_IMAG (y) : 0.0); | |
3482 | } | |
3483 | if (SCM_UNBNDP (y)) | |
3484 | { | |
3485 | x = -SCM_INUM (x); | |
3486 | goto checkx; | |
3487 | } | |
3488 | if (SCM_NINUMP (y)) | |
3489 | { | |
3490 | #ifdef SCM_BIGDIG | |
3491 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3492 | if (SCM_BIGP (y)) | |
3493 | { | |
3494 | #ifndef SCM_DIGSTOOBIG | |
3495 | long z = scm_pseudolong (SCM_INUM (x)); | |
3496 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3497 | (x < 0) ? 0x0100 : 0, | |
3498 | y, 0x0100); | |
3499 | #else | |
3500 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3501 | scm_longdigs (SCM_INUM (x), zdigs); | |
3502 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3503 | y, 0x0100); | |
3504 | #endif | |
3505 | } | |
3506 | #ifndef SCM_RECKLESS | |
3507 | if (!(SCM_INEXP (y))) | |
3508 | { | |
3509 | bady: | |
3510 | scm_wta (y, (char *) SCM_ARG2, s_difference); | |
3511 | } | |
3512 | #endif | |
3513 | #else | |
3514 | #ifndef SCM_RECKLESS | |
3515 | if (!(SCM_NIMP (y) && SCM_INEXP (y))) | |
3516 | { | |
3517 | bady: | |
3518 | scm_wta (y, (char *) SCM_ARG2, s_difference); | |
3519 | } | |
3520 | #endif | |
3521 | #endif | |
3522 | return scm_makdbl (SCM_INUM (x) - SCM_REALPART (y), | |
3523 | SCM_CPLXP (y) ? -SCM_IMAG (y) : 0.0); | |
3524 | } | |
3525 | #else | |
3526 | #ifdef SCM_BIGDIG | |
3527 | if (SCM_NINUMP (x)) | |
3528 | { | |
3529 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_difference); | |
3530 | if (SCM_UNBNDP (y)) | |
3531 | { | |
3532 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3533 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3534 | <= sizeof (SCM) | |
3535 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3536 | : x); | |
3537 | } | |
3538 | if (SCM_INUMP (y)) | |
3539 | { | |
3540 | #ifndef SCM_DIGSTOOBIG | |
3541 | long z = scm_pseudolong (SCM_INUM (y)); | |
3542 | return scm_addbig (&z, SCM_DIGSPERLONG, (y < 0) ? 0 : 0x0100, x, 0); | |
3543 | #else | |
3544 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3545 | scm_longdigs (SCM_INUM (x), zdigs); | |
3546 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (y < 0) ? 0 : 0x0100, | |
3547 | x, 0); | |
3548 | #endif | |
3549 | } | |
3550 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
3551 | return (SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) ? | |
3552 | scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), SCM_BIGSIGN (x), | |
3553 | y, 0x0100) : | |
3554 | scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), SCM_BIGSIGN (y) ^ 0x0100, | |
3555 | x, 0); | |
3556 | } | |
3557 | if (SCM_UNBNDP (y)) | |
3558 | { | |
3559 | x = -SCM_INUM (x); | |
3560 | goto checkx; | |
3561 | } | |
3562 | if (SCM_NINUMP (y)) | |
3563 | { | |
3564 | #ifndef SCM_RECKLESS | |
3565 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
3566 | { | |
3567 | bady: | |
3568 | scm_wta (y, (char *) SCM_ARG2, s_difference); | |
3569 | } | |
3570 | #endif | |
cda139a7 | 3571 | { |
f872b822 MD |
3572 | #ifndef SCM_DIGSTOOBIG |
3573 | long z = scm_pseudolong (SCM_INUM (x)); | |
3574 | return scm_addbig (&z, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3575 | y, 0x0100); | |
3576 | #else | |
3577 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3578 | scm_longdigs (SCM_INUM (x), zdigs); | |
3579 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? 0x0100 : 0, | |
3580 | y, 0x0100); | |
3581 | #endif | |
cda139a7 | 3582 | } |
f872b822 | 3583 | } |
0f2d19dd | 3584 | #else |
f872b822 MD |
3585 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_difference); |
3586 | if (SCM_UNBNDP (y)) | |
3587 | { | |
3588 | x = -SCM_INUM (x); | |
3589 | goto checkx; | |
0f2d19dd | 3590 | } |
f872b822 | 3591 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_difference); |
0f2d19dd | 3592 | #endif |
f872b822 MD |
3593 | #endif |
3594 | x = SCM_INUM (x) - SCM_INUM (y); | |
0f2d19dd | 3595 | checkx: |
f872b822 MD |
3596 | if (SCM_FIXABLE (x)) |
3597 | return SCM_MAKINUM (x); | |
0f2d19dd | 3598 | #ifdef SCM_BIGDIG |
f872b822 MD |
3599 | return scm_long2big (x); |
3600 | #else | |
3601 | #ifdef SCM_FLOATS | |
3602 | return scm_makdbl ((double) x, 0.0); | |
0f2d19dd | 3603 | #else |
52859adf | 3604 | scm_num_overflow (s_difference); |
0f2d19dd | 3605 | return SCM_UNSPECIFIED; |
f872b822 | 3606 | #endif |
0f2d19dd JB |
3607 | #endif |
3608 | } | |
3609 | ||
3610 | ||
3611 | ||
3612 | ||
3613 | SCM_PROC1 (s_product, "*", scm_tc7_asubr, scm_product); | |
1cc91f1b | 3614 | |
0f2d19dd | 3615 | SCM |
f872b822 | 3616 | scm_product (x, y) |
0f2d19dd JB |
3617 | SCM x; |
3618 | SCM y; | |
0f2d19dd | 3619 | { |
f872b822 MD |
3620 | if (SCM_UNBNDP (y)) |
3621 | { | |
3622 | if (SCM_UNBNDP (x)) | |
3623 | return SCM_MAKINUM (1L); | |
cf7c17e9 | 3624 | #ifndef SCM_RECKLESS |
f872b822 MD |
3625 | if (!(SCM_NUMBERP (x))) |
3626 | { | |
3627 | badx: | |
3628 | scm_wta (x, (char *) SCM_ARG1, s_product); | |
3629 | } | |
0f2d19dd | 3630 | #endif |
f872b822 MD |
3631 | return x; |
3632 | } | |
0f2d19dd | 3633 | #ifdef SCM_FLOATS |
f872b822 MD |
3634 | if (SCM_NINUMP (x)) |
3635 | { | |
3636 | SCM t; | |
3637 | #ifdef SCM_BIGDIG | |
3638 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3639 | if (SCM_BIGP (x)) | |
3640 | { | |
3641 | if (SCM_INUMP (y)) | |
3642 | { | |
3643 | t = x; | |
3644 | x = y; | |
3645 | y = t; | |
3646 | goto intbig; | |
3647 | } | |
3648 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3649 | if (SCM_BIGP (y)) | |
3650 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3651 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3652 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
3653 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3654 | bigreal: | |
3655 | { | |
3656 | double bg = scm_big2dbl (x); | |
3657 | return scm_makdbl (bg * SCM_REALPART (y), | |
3658 | SCM_CPLXP (y) ? bg * SCM_IMAG (y) : 0.0); | |
3659 | } | |
3660 | } | |
3661 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3662 | #else | |
3663 | SCM_ASRTGO (SCM_NIMP (x) && SCM_INEXP (x), badx); | |
3664 | #endif | |
3665 | if (SCM_INUMP (y)) | |
3666 | { | |
3667 | t = x; | |
3668 | x = y; | |
3669 | y = t; | |
3670 | goto intreal; | |
3671 | } | |
3672 | #ifdef SCM_BIGDIG | |
3673 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3674 | if (SCM_BIGP (y)) | |
3675 | { | |
3676 | t = x; | |
3677 | x = y; | |
3678 | y = t; | |
3679 | goto bigreal; | |
3680 | } | |
3681 | #ifndef SCM_RECKLESS | |
3682 | else if (!(SCM_INEXP (y))) | |
3683 | { | |
3684 | bady: | |
3685 | scm_wta (y, (char *) SCM_ARG2, s_product); | |
3686 | } | |
3687 | #endif | |
3688 | #else | |
3689 | #ifndef SCM_RECKLESS | |
3690 | if (!(SCM_NIMP (y) && SCM_INEXP (y))) | |
3691 | { | |
3692 | bady: | |
3693 | scm_wta (y, (char *) SCM_ARG2, s_product); | |
3694 | } | |
3695 | #endif | |
3696 | #endif | |
3697 | if (SCM_CPLXP (x)) | |
3698 | { | |
3699 | if (SCM_CPLXP (y)) | |
3700 | return scm_makdbl (SCM_REAL (x) * SCM_REAL (y) | |
3701 | - SCM_IMAG (x) * SCM_IMAG (y), | |
3702 | SCM_REAL (x) * SCM_IMAG (y) | |
3703 | + SCM_IMAG (x) * SCM_REAL (y)); | |
3704 | else | |
3705 | return scm_makdbl (SCM_REAL (x) * SCM_REALPART (y), | |
3706 | SCM_IMAG (x) * SCM_REALPART (y)); | |
3707 | } | |
3708 | return scm_makdbl (SCM_REALPART (x) * SCM_REALPART (y), | |
3709 | SCM_CPLXP (y) | |
3710 | ? SCM_REALPART (x) * SCM_IMAG (y) | |
3711 | : 0.0); | |
3712 | } | |
3713 | if (SCM_NINUMP (y)) | |
3714 | { | |
3715 | #ifdef SCM_BIGDIG | |
3716 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3717 | if (SCM_BIGP (y)) | |
3718 | { | |
3719 | intbig: | |
3720 | if (SCM_INUM0 == x) | |
3721 | return x; | |
3722 | if (SCM_MAKINUM (1L) == x) | |
3723 | return y; | |
3724 | { | |
3725 | #ifndef SCM_DIGSTOOBIG | |
3726 | long z = scm_pseudolong (SCM_INUM (x)); | |
3727 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3728 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3729 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3730 | #else | |
3731 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3732 | scm_longdigs (SCM_INUM (x), zdigs); | |
3733 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3734 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3735 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3736 | #endif | |
3737 | } | |
3738 | } | |
3739 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3740 | #else | |
3741 | SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady); | |
3742 | #endif | |
3743 | intreal: | |
3744 | return scm_makdbl (SCM_INUM (x) * SCM_REALPART (y), | |
3745 | SCM_CPLXP (y) ? SCM_INUM (x) * SCM_IMAG (y) : 0.0); | |
3746 | } | |
3747 | #else | |
3748 | #ifdef SCM_BIGDIG | |
3749 | if (SCM_NINUMP (x)) | |
3750 | { | |
3751 | SCM_ASRTGO (SCM_NIMP (x) && SCM_BIGP (x), badx); | |
3752 | if (SCM_INUMP (y)) | |
3753 | { | |
3754 | SCM t = x; | |
3755 | x = y; | |
3756 | y = t; | |
3757 | goto intbig; | |
3758 | } | |
3759 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
3760 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3761 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3762 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
3763 | } | |
3764 | if (SCM_NINUMP (y)) | |
3765 | { | |
3766 | #ifndef SCM_RECKLESS | |
3767 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) | |
3768 | { | |
3769 | bady: | |
3770 | scm_wta (y, (char *) SCM_ARG2, s_product); | |
3771 | } | |
3772 | #endif | |
3773 | intbig: | |
3774 | if (SCM_INUM0 == x) | |
3775 | return x; | |
3776 | if (SCM_MAKINUM (1L) == x) | |
3777 | return y; | |
0f2d19dd | 3778 | { |
f872b822 MD |
3779 | #ifndef SCM_DIGSTOOBIG |
3780 | long z = scm_pseudolong (SCM_INUM (x)); | |
3781 | return scm_mulbig (&z, SCM_DIGSPERLONG, | |
3782 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3783 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3784 | #else | |
0f2d19dd | 3785 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
f872b822 MD |
3786 | scm_longdigs (SCM_INUM (x), zdigs); |
3787 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3788 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3789 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3790 | #endif | |
0f2d19dd JB |
3791 | } |
3792 | } | |
0f2d19dd | 3793 | #else |
f872b822 MD |
3794 | SCM_ASRTGO (SCM_INUMP (x), badx); |
3795 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_product); | |
3796 | #endif | |
0f2d19dd JB |
3797 | #endif |
3798 | { | |
3799 | long i, j, k; | |
f872b822 MD |
3800 | i = SCM_INUM (x); |
3801 | if (0 == i) | |
3802 | return x; | |
3803 | j = SCM_INUM (y); | |
0f2d19dd | 3804 | k = i * j; |
f872b822 MD |
3805 | y = SCM_MAKINUM (k); |
3806 | if (k != SCM_INUM (y) || k / i != j) | |
3807 | #ifdef SCM_BIGDIG | |
3808 | { | |
3809 | int sgn = (i < 0) ^ (j < 0); | |
3810 | #ifndef SCM_DIGSTOOBIG | |
3811 | i = scm_pseudolong (i); | |
3812 | j = scm_pseudolong (j); | |
3813 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, | |
3814 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
3815 | #else /* SCM_DIGSTOOBIG */ | |
0f2d19dd JB |
3816 | SCM_BIGDIG idigs[SCM_DIGSPERLONG]; |
3817 | SCM_BIGDIG jdigs[SCM_DIGSPERLONG]; | |
f872b822 MD |
3818 | scm_longdigs (i, idigs); |
3819 | scm_longdigs (j, jdigs); | |
3820 | return scm_mulbig (idigs, SCM_DIGSPERLONG, | |
3821 | jdigs, SCM_DIGSPERLONG, | |
3822 | sgn); | |
3823 | #endif | |
0f2d19dd JB |
3824 | } |
3825 | #else | |
f872b822 MD |
3826 | #ifdef SCM_FLOATS |
3827 | return scm_makdbl (((double) i) * ((double) j), 0.0); | |
3828 | #else | |
52859adf | 3829 | scm_num_overflow (s_product); |
f872b822 | 3830 | #endif |
0f2d19dd JB |
3831 | #endif |
3832 | return y; | |
3833 | } | |
3834 | } | |
3835 | ||
3836 | ||
1cc91f1b | 3837 | |
0f2d19dd JB |
3838 | double |
3839 | scm_num2dbl (a, why) | |
3840 | SCM a; | |
3eeba8d4 | 3841 | const char *why; |
0f2d19dd JB |
3842 | { |
3843 | if (SCM_INUMP (a)) | |
3844 | return (double) SCM_INUM (a); | |
3845 | #ifdef SCM_FLOATS | |
3846 | SCM_ASSERT (SCM_NIMP (a), a, "wrong type argument", why); | |
3847 | if (SCM_REALP (a)) | |
3848 | return (SCM_REALPART (a)); | |
3849 | #endif | |
3850 | #ifdef SCM_BIGDIG | |
3851 | return scm_big2dbl (a); | |
3852 | #endif | |
3853 | SCM_ASSERT (0, a, "wrong type argument", why); | |
3854 | return SCM_UNSPECIFIED; | |
3855 | } | |
3856 | ||
3857 | ||
0f2d19dd | 3858 | SCM_PROC1 (s_divide, "/", scm_tc7_asubr, scm_divide); |
1cc91f1b | 3859 | |
0f2d19dd | 3860 | SCM |
f872b822 | 3861 | scm_divide (x, y) |
0f2d19dd JB |
3862 | SCM x; |
3863 | SCM y; | |
0f2d19dd JB |
3864 | { |
3865 | #ifdef SCM_FLOATS | |
3866 | double d, r, i, a; | |
f872b822 MD |
3867 | if (SCM_NINUMP (x)) |
3868 | { | |
3869 | #ifndef SCM_RECKLESS | |
3870 | if (!(SCM_NIMP (x))) | |
3871 | { | |
3872 | badx: | |
3873 | scm_wta (x, (char *) SCM_ARG1, s_divide); | |
3874 | } | |
3875 | #endif | |
3876 | if (SCM_UNBNDP (y)) | |
3877 | { | |
3878 | #ifdef SCM_BIGDIG | |
3879 | if (SCM_BIGP (x)) | |
3880 | return scm_makdbl (1.0 / scm_big2dbl (x), 0.0); | |
3881 | #endif | |
3882 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3883 | if (SCM_REALP (x)) | |
3884 | return scm_makdbl (1.0 / SCM_REALPART (x), 0.0); | |
3885 | r = SCM_REAL (x); | |
3886 | i = SCM_IMAG (x); | |
3887 | d = r * r + i * i; | |
3888 | return scm_makdbl (r / d, -i / d); | |
3889 | } | |
3890 | #ifdef SCM_BIGDIG | |
3891 | if (SCM_BIGP (x)) | |
3892 | { | |
3893 | SCM z; | |
3894 | if (SCM_INUMP (y)) | |
3895 | { | |
3896 | z = SCM_INUM (y); | |
3897 | #ifndef SCM_RECKLESS | |
3898 | if (!z) | |
3899 | scm_num_overflow (s_divide); | |
3900 | #endif | |
3901 | if (1 == z) | |
3902 | return x; | |
3903 | if (z < 0) | |
3904 | z = -z; | |
3905 | if (z < SCM_BIGRAD) | |
3906 | { | |
3907 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
3908 | return (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
3909 | (SCM_BIGDIG) z) | |
3910 | ? scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0) | |
3911 | : scm_normbig (w)); | |
3912 | } | |
3913 | #ifndef SCM_DIGSTOOBIG | |
3914 | z = scm_pseudolong (z); | |
3915 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3916 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3917 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
3918 | #else | |
3919 | { | |
3920 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3921 | scm_longdigs (z, zdigs); | |
3922 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3923 | zdigs, SCM_DIGSPERLONG, | |
3924 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
3925 | } | |
3926 | #endif | |
3927 | return z ? z : scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0); | |
3928 | } | |
3929 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3930 | if (SCM_BIGP (y)) | |
3931 | { | |
3932 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3933 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3934 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
3935 | return z ? z : scm_makdbl (scm_big2dbl (x) / scm_big2dbl (y), | |
3936 | 0.0); | |
3937 | } | |
3938 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3939 | if (SCM_REALP (y)) | |
3940 | return scm_makdbl (scm_big2dbl (x) / SCM_REALPART (y), 0.0); | |
3941 | a = scm_big2dbl (x); | |
3942 | goto complex_div; | |
3943 | } | |
3944 | #endif | |
3945 | SCM_ASRTGO (SCM_INEXP (x), badx); | |
3946 | if (SCM_INUMP (y)) | |
3947 | { | |
3948 | d = SCM_INUM (y); | |
3949 | goto basic_div; | |
3950 | } | |
3951 | #ifdef SCM_BIGDIG | |
3952 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3953 | if (SCM_BIGP (y)) | |
3954 | { | |
3955 | d = scm_big2dbl (y); | |
3956 | goto basic_div; | |
3957 | } | |
3958 | SCM_ASRTGO (SCM_INEXP (y), bady); | |
3959 | #else | |
3960 | SCM_ASRTGO (SCM_NIMP (y) && SCM_INEXP (y), bady); | |
3961 | #endif | |
3962 | if (SCM_REALP (y)) | |
3963 | { | |
3964 | d = SCM_REALPART (y); | |
3965 | basic_div: | |
3966 | return scm_makdbl (SCM_REALPART (x) / d, | |
3967 | SCM_CPLXP (x) ? SCM_IMAG (x) / d : 0.0); | |
3968 | } | |
3969 | a = SCM_REALPART (x); | |
3970 | if (SCM_REALP (x)) | |
3971 | goto complex_div; | |
3972 | r = SCM_REAL (y); | |
3973 | i = SCM_IMAG (y); | |
3974 | d = r * r + i * i; | |
3975 | return scm_makdbl ((a * r + SCM_IMAG (x) * i) / d, | |
3976 | (SCM_IMAG (x) * r - a * i) / d); | |
3977 | } | |
3978 | if (SCM_UNBNDP (y)) | |
3979 | { | |
3980 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
3981 | return x; | |
3982 | return scm_makdbl (1.0 / ((double) SCM_INUM (x)), 0.0); | |
3983 | } | |
3984 | if (SCM_NINUMP (y)) | |
3985 | { | |
3986 | #ifdef SCM_BIGDIG | |
3987 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3988 | if (SCM_BIGP (y)) | |
3989 | return scm_makdbl (SCM_INUM (x) / scm_big2dbl (y), 0.0); | |
3990 | #ifndef SCM_RECKLESS | |
3991 | if (!(SCM_INEXP (y))) | |
3992 | { | |
3993 | bady: | |
3994 | scm_wta (y, (char *) SCM_ARG2, s_divide); | |
3995 | } | |
3996 | #endif | |
3997 | #else | |
3998 | #ifndef SCM_RECKLESS | |
3999 | if (!(SCM_NIMP (y) && SCM_INEXP (y))) | |
4000 | { | |
4001 | bady: | |
4002 | scm_wta (y, (char *) SCM_ARG2, s_divide); | |
4003 | } | |
4004 | #endif | |
4005 | #endif | |
4006 | if (SCM_REALP (y)) | |
4007 | return scm_makdbl (SCM_INUM (x) / SCM_REALPART (y), 0.0); | |
4008 | a = SCM_INUM (x); | |
4009 | complex_div: | |
4010 | r = SCM_REAL (y); | |
4011 | i = SCM_IMAG (y); | |
4012 | d = r * r + i * i; | |
4013 | return scm_makdbl ((a * r) / d, (-a * i) / d); | |
4014 | } | |
4015 | #else | |
4016 | #ifdef SCM_BIGDIG | |
4017 | if (SCM_NINUMP (x)) | |
4018 | { | |
0f2d19dd | 4019 | SCM z; |
f872b822 MD |
4020 | SCM_ASSERT (SCM_NIMP (x) && SCM_BIGP (x), x, SCM_ARG1, s_divide); |
4021 | if (SCM_UNBNDP (y)) | |
4022 | goto ov; | |
4023 | if (SCM_INUMP (y)) | |
4024 | { | |
4025 | z = SCM_INUM (y); | |
4026 | if (!z) | |
4027 | goto ov; | |
4028 | if (1 == z) | |
4029 | return x; | |
4030 | if (z < 0) | |
4031 | z = -z; | |
4032 | if (z < SCM_BIGRAD) | |
4033 | { | |
4034 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
4035 | if (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
4036 | (SCM_BIGDIG) z)) | |
4037 | goto ov; | |
4038 | return w; | |
4039 | } | |
4040 | #ifndef SCM_DIGSTOOBIG | |
4041 | z = scm_pseudolong (z); | |
4042 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
4043 | &z, SCM_DIGSPERLONG, | |
4044 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
4045 | #else | |
4046 | { | |
4047 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
4048 | scm_longdigs (z, zdigs); | |
4049 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
4050 | zdigs, SCM_DIGSPERLONG, | |
4051 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
4052 | } | |
4053 | #endif | |
4054 | } | |
4055 | else | |
4056 | { | |
4057 | SCM_ASRTGO (SCM_NIMP (y) && SCM_BIGP (y), bady); | |
4058 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
4059 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
4060 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
4061 | } | |
4062 | if (!z) | |
4063 | goto ov; | |
4064 | return z; | |
4065 | } | |
4066 | if (SCM_UNBNDP (y)) | |
4067 | { | |
4068 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
4069 | return x; | |
4070 | goto ov; | |
4071 | } | |
4072 | if (SCM_NINUMP (y)) | |
4073 | { | |
cf7c17e9 | 4074 | #ifndef SCM_RECKLESS |
f872b822 MD |
4075 | if (!(SCM_NIMP (y) && SCM_BIGP (y))) |
4076 | { | |
4077 | bady: | |
4078 | scm_wta (y, (char *) SCM_ARG2, s_divide); | |
4079 | } | |
4080 | #endif | |
4081 | goto ov; | |
4082 | } | |
0f2d19dd | 4083 | #else |
f872b822 MD |
4084 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_divide); |
4085 | if (SCM_UNBNDP (y)) | |
4086 | { | |
4087 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
4088 | return x; | |
4089 | goto ov; | |
4090 | } | |
4091 | SCM_ASSERT (SCM_INUMP (y), y, SCM_ARG2, s_divide); | |
4092 | #endif | |
0f2d19dd JB |
4093 | #endif |
4094 | { | |
f872b822 MD |
4095 | long z = SCM_INUM (y); |
4096 | if ((0 == z) || SCM_INUM (x) % z) | |
4097 | goto ov; | |
4098 | z = SCM_INUM (x) / z; | |
4099 | if (SCM_FIXABLE (z)) | |
4100 | return SCM_MAKINUM (z); | |
0f2d19dd | 4101 | #ifdef SCM_BIGDIG |
f872b822 | 4102 | return scm_long2big (z); |
0f2d19dd JB |
4103 | #endif |
4104 | #ifdef SCM_FLOATS | |
f872b822 MD |
4105 | ov: |
4106 | return scm_makdbl (((double) SCM_INUM (x)) / ((double) SCM_INUM (y)), 0.0); | |
0f2d19dd | 4107 | #else |
f872b822 MD |
4108 | ov: |
4109 | scm_num_overflow (s_divide); | |
0f2d19dd JB |
4110 | return SCM_UNSPECIFIED; |
4111 | #endif | |
4112 | } | |
4113 | } | |
4114 | ||
4115 | ||
4116 | ||
4117 | ||
4118 | #ifdef SCM_FLOATS | |
4119 | SCM_PROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh); | |
1cc91f1b | 4120 | |
0f2d19dd | 4121 | double |
f872b822 | 4122 | scm_asinh (x) |
0f2d19dd | 4123 | double x; |
0f2d19dd | 4124 | { |
f872b822 | 4125 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
4126 | } |
4127 | ||
4128 | ||
4129 | ||
4130 | ||
4131 | SCM_PROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh); | |
1cc91f1b | 4132 | |
0f2d19dd | 4133 | double |
f872b822 | 4134 | scm_acosh (x) |
0f2d19dd | 4135 | double x; |
0f2d19dd | 4136 | { |
f872b822 | 4137 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
4138 | } |
4139 | ||
4140 | ||
4141 | ||
4142 | ||
4143 | SCM_PROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh); | |
1cc91f1b | 4144 | |
0f2d19dd | 4145 | double |
f872b822 | 4146 | scm_atanh (x) |
0f2d19dd | 4147 | double x; |
0f2d19dd | 4148 | { |
f872b822 | 4149 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
4150 | } |
4151 | ||
4152 | ||
4153 | ||
4154 | ||
4155 | SCM_PROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate); | |
1cc91f1b | 4156 | |
0f2d19dd | 4157 | double |
f872b822 | 4158 | scm_truncate (x) |
0f2d19dd | 4159 | double x; |
0f2d19dd | 4160 | { |
f872b822 MD |
4161 | if (x < 0.0) |
4162 | return -floor (-x); | |
4163 | return floor (x); | |
0f2d19dd JB |
4164 | } |
4165 | ||
4166 | ||
4167 | ||
4168 | SCM_PROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round); | |
1cc91f1b | 4169 | |
0f2d19dd | 4170 | double |
f872b822 | 4171 | scm_round (x) |
0f2d19dd | 4172 | double x; |
0f2d19dd JB |
4173 | { |
4174 | double plus_half = x + 0.5; | |
f872b822 | 4175 | double result = floor (plus_half); |
0f2d19dd | 4176 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 4177 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
4178 | ? result - 1 : result; |
4179 | } | |
4180 | ||
4181 | ||
4182 | ||
4183 | SCM_PROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact); | |
1cc91f1b | 4184 | |
0f2d19dd | 4185 | double |
f872b822 | 4186 | scm_exact_to_inexact (z) |
0f2d19dd | 4187 | double z; |
0f2d19dd JB |
4188 | { |
4189 | return z; | |
4190 | } | |
4191 | ||
4192 | ||
4193 | SCM_PROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor); | |
4194 | SCM_PROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil); | |
f872b822 MD |
4195 | SCM_PROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt); |
4196 | SCM_PROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs); | |
4197 | SCM_PROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp); | |
4198 | SCM_PROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log); | |
4199 | SCM_PROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin); | |
4200 | SCM_PROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos); | |
4201 | SCM_PROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan); | |
4202 | SCM_PROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin); | |
4203 | SCM_PROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos); | |
4204 | SCM_PROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan); | |
4205 | SCM_PROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh); | |
4206 | SCM_PROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh); | |
4207 | SCM_PROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh); | |
4208 | ||
4209 | struct dpair | |
4210 | { | |
4211 | double x, y; | |
4212 | }; | |
4213 | ||
3eeba8d4 JB |
4214 | static void scm_two_doubles (SCM z1, |
4215 | SCM z2, | |
4216 | const char *sstring, | |
4217 | struct dpair * xy); | |
f872b822 MD |
4218 | |
4219 | static void | |
4220 | scm_two_doubles (z1, z2, sstring, xy) | |
0f2d19dd | 4221 | SCM z1, z2; |
3eeba8d4 | 4222 | const char *sstring; |
0f2d19dd JB |
4223 | struct dpair *xy; |
4224 | { | |
f872b822 MD |
4225 | if (SCM_INUMP (z1)) |
4226 | xy->x = SCM_INUM (z1); | |
4227 | else | |
4228 | { | |
4229 | #ifdef SCM_BIGDIG | |
4230 | SCM_ASRTGO (SCM_NIMP (z1), badz1); | |
4231 | if (SCM_BIGP (z1)) | |
4232 | xy->x = scm_big2dbl (z1); | |
4233 | else | |
4234 | { | |
4235 | #ifndef SCM_RECKLESS | |
4236 | if (!(SCM_REALP (z1))) | |
4237 | badz1:scm_wta (z1, (char *) SCM_ARG1, sstring); | |
4238 | #endif | |
4239 | xy->x = SCM_REALPART (z1); | |
4240 | } | |
4241 | #else | |
4242 | { | |
4243 | SCM_ASSERT (SCM_NIMP (z1) && SCM_REALP (z1), z1, SCM_ARG1, sstring); | |
4244 | xy->x = SCM_REALPART (z1); | |
4245 | } | |
4246 | #endif | |
4247 | } | |
4248 | if (SCM_INUMP (z2)) | |
4249 | xy->y = SCM_INUM (z2); | |
4250 | else | |
4251 | { | |
4252 | #ifdef SCM_BIGDIG | |
4253 | SCM_ASRTGO (SCM_NIMP (z2), badz2); | |
4254 | if (SCM_BIGP (z2)) | |
4255 | xy->y = scm_big2dbl (z2); | |
4256 | else | |
4257 | { | |
4258 | #ifndef SCM_RECKLESS | |
4259 | if (!(SCM_REALP (z2))) | |
4260 | badz2:scm_wta (z2, (char *) SCM_ARG2, sstring); | |
4261 | #endif | |
4262 | xy->y = SCM_REALPART (z2); | |
4263 | } | |
4264 | #else | |
4265 | { | |
4266 | SCM_ASSERT (SCM_NIMP (z2) && SCM_REALP (z2), z2, SCM_ARG2, sstring); | |
4267 | xy->y = SCM_REALPART (z2); | |
4268 | } | |
4269 | #endif | |
4270 | } | |
0f2d19dd JB |
4271 | } |
4272 | ||
4273 | ||
4274 | ||
4275 | ||
f872b822 | 4276 | SCM_PROC (s_sys_expt, "$expt", 2, 0, 0, scm_sys_expt); |
1cc91f1b | 4277 | |
0f2d19dd | 4278 | SCM |
f872b822 | 4279 | scm_sys_expt (z1, z2) |
0f2d19dd JB |
4280 | SCM z1; |
4281 | SCM z2; | |
0f2d19dd JB |
4282 | { |
4283 | struct dpair xy; | |
f872b822 MD |
4284 | scm_two_doubles (z1, z2, s_sys_expt, &xy); |
4285 | return scm_makdbl (pow (xy.x, xy.y), 0.0); | |
0f2d19dd JB |
4286 | } |
4287 | ||
4288 | ||
4289 | ||
f872b822 | 4290 | SCM_PROC (s_sys_atan2, "$atan2", 2, 0, 0, scm_sys_atan2); |
1cc91f1b | 4291 | |
0f2d19dd | 4292 | SCM |
f872b822 | 4293 | scm_sys_atan2 (z1, z2) |
0f2d19dd JB |
4294 | SCM z1; |
4295 | SCM z2; | |
0f2d19dd JB |
4296 | { |
4297 | struct dpair xy; | |
f872b822 MD |
4298 | scm_two_doubles (z1, z2, s_sys_atan2, &xy); |
4299 | return scm_makdbl (atan2 (xy.x, xy.y), 0.0); | |
0f2d19dd JB |
4300 | } |
4301 | ||
4302 | ||
4303 | ||
f872b822 | 4304 | SCM_PROC (s_make_rectangular, "make-rectangular", 2, 0, 0, scm_make_rectangular); |
1cc91f1b | 4305 | |
0f2d19dd | 4306 | SCM |
f872b822 | 4307 | scm_make_rectangular (z1, z2) |
0f2d19dd JB |
4308 | SCM z1; |
4309 | SCM z2; | |
0f2d19dd JB |
4310 | { |
4311 | struct dpair xy; | |
f872b822 MD |
4312 | scm_two_doubles (z1, z2, s_make_rectangular, &xy); |
4313 | return scm_makdbl (xy.x, xy.y); | |
0f2d19dd JB |
4314 | } |
4315 | ||
4316 | ||
4317 | ||
f872b822 | 4318 | SCM_PROC (s_make_polar, "make-polar", 2, 0, 0, scm_make_polar); |
1cc91f1b | 4319 | |
0f2d19dd | 4320 | SCM |
f872b822 | 4321 | scm_make_polar (z1, z2) |
0f2d19dd JB |
4322 | SCM z1; |
4323 | SCM z2; | |
0f2d19dd JB |
4324 | { |
4325 | struct dpair xy; | |
f872b822 MD |
4326 | scm_two_doubles (z1, z2, s_make_polar, &xy); |
4327 | return scm_makdbl (xy.x * cos (xy.y), xy.x * sin (xy.y)); | |
0f2d19dd JB |
4328 | } |
4329 | ||
4330 | ||
4331 | ||
4332 | ||
f872b822 | 4333 | SCM_PROC (s_real_part, "real-part", 1, 0, 0, scm_real_part); |
1cc91f1b | 4334 | |
0f2d19dd | 4335 | SCM |
f872b822 | 4336 | scm_real_part (z) |
0f2d19dd | 4337 | SCM z; |
0f2d19dd | 4338 | { |
f872b822 MD |
4339 | if (SCM_NINUMP (z)) |
4340 | { | |
4341 | #ifdef SCM_BIGDIG | |
4342 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4343 | if (SCM_BIGP (z)) | |
4344 | return z; | |
4345 | #ifndef SCM_RECKLESS | |
4346 | if (!(SCM_INEXP (z))) | |
4347 | { | |
4348 | badz: | |
4349 | scm_wta (z, (char *) SCM_ARG1, s_real_part); | |
4350 | } | |
4351 | #endif | |
4352 | #else | |
4353 | SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_real_part); | |
4354 | #endif | |
4355 | if (SCM_CPLXP (z)) | |
4356 | return scm_makdbl (SCM_REAL (z), 0.0); | |
4357 | } | |
0f2d19dd JB |
4358 | return z; |
4359 | } | |
4360 | ||
4361 | ||
4362 | ||
f872b822 | 4363 | SCM_PROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part); |
1cc91f1b | 4364 | |
0f2d19dd | 4365 | SCM |
f872b822 | 4366 | scm_imag_part (z) |
0f2d19dd | 4367 | SCM z; |
0f2d19dd | 4368 | { |
f872b822 MD |
4369 | if (SCM_INUMP (z)) |
4370 | return SCM_INUM0; | |
4371 | #ifdef SCM_BIGDIG | |
4372 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4373 | if (SCM_BIGP (z)) | |
4374 | return SCM_INUM0; | |
4375 | #ifndef SCM_RECKLESS | |
4376 | if (!(SCM_INEXP (z))) | |
4377 | { | |
4378 | badz: | |
4379 | scm_wta (z, (char *) SCM_ARG1, s_imag_part); | |
4380 | } | |
4381 | #endif | |
4382 | #else | |
4383 | SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_imag_part); | |
4384 | #endif | |
4385 | if (SCM_CPLXP (z)) | |
4386 | return scm_makdbl (SCM_IMAG (z), 0.0); | |
0f2d19dd JB |
4387 | return scm_flo0; |
4388 | } | |
4389 | ||
4390 | ||
4391 | ||
f872b822 | 4392 | SCM_PROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude); |
1cc91f1b | 4393 | |
0f2d19dd | 4394 | SCM |
f872b822 | 4395 | scm_magnitude (z) |
0f2d19dd | 4396 | SCM z; |
0f2d19dd | 4397 | { |
f872b822 MD |
4398 | if (SCM_INUMP (z)) |
4399 | return scm_abs (z); | |
4400 | #ifdef SCM_BIGDIG | |
4401 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4402 | if (SCM_BIGP (z)) | |
4403 | return scm_abs (z); | |
4404 | #ifndef SCM_RECKLESS | |
4405 | if (!(SCM_INEXP (z))) | |
4406 | { | |
4407 | badz: | |
4408 | scm_wta (z, (char *) SCM_ARG1, s_magnitude); | |
4409 | } | |
4410 | #endif | |
4411 | #else | |
4412 | SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_magnitude); | |
4413 | #endif | |
4414 | if (SCM_CPLXP (z)) | |
0f2d19dd | 4415 | { |
f872b822 MD |
4416 | double i = SCM_IMAG (z), r = SCM_REAL (z); |
4417 | return scm_makdbl (sqrt (i * i + r * r), 0.0); | |
0f2d19dd | 4418 | } |
f872b822 | 4419 | return scm_makdbl (fabs (SCM_REALPART (z)), 0.0); |
0f2d19dd JB |
4420 | } |
4421 | ||
4422 | ||
4423 | ||
4424 | ||
f872b822 | 4425 | SCM_PROC (s_angle, "angle", 1, 0, 0, scm_angle); |
1cc91f1b | 4426 | |
0f2d19dd | 4427 | SCM |
f872b822 | 4428 | scm_angle (z) |
0f2d19dd | 4429 | SCM z; |
0f2d19dd JB |
4430 | { |
4431 | double x, y = 0.0; | |
f872b822 MD |
4432 | if (SCM_INUMP (z)) |
4433 | { | |
4434 | x = (z >= SCM_INUM0) ? 1.0 : -1.0; | |
4435 | goto do_angle; | |
4436 | } | |
4437 | #ifdef SCM_BIGDIG | |
4438 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4439 | if (SCM_BIGP (z)) | |
4440 | { | |
4441 | x = (SCM_TYP16 (z) == scm_tc16_bigpos) ? 1.0 : -1.0; | |
4442 | goto do_angle; | |
4443 | } | |
4444 | #ifndef SCM_RECKLESS | |
4445 | if (!(SCM_INEXP (z))) | |
4446 | { | |
4447 | badz: | |
4448 | scm_wta (z, (char *) SCM_ARG1, s_angle); | |
4449 | } | |
4450 | #endif | |
4451 | #else | |
4452 | SCM_ASSERT (SCM_NIMP (z) && SCM_INEXP (z), z, SCM_ARG1, s_angle); | |
4453 | #endif | |
4454 | if (SCM_REALP (z)) | |
4455 | { | |
4456 | x = SCM_REALPART (z); | |
0f2d19dd JB |
4457 | goto do_angle; |
4458 | } | |
f872b822 MD |
4459 | x = SCM_REAL (z); |
4460 | y = SCM_IMAG (z); | |
0f2d19dd | 4461 | do_angle: |
f872b822 | 4462 | return scm_makdbl (atan2 (y, x), 0.0); |
0f2d19dd JB |
4463 | } |
4464 | ||
4465 | ||
f872b822 | 4466 | SCM_PROC (s_inexact_to_exact, "inexact->exact", 1, 0, 0, scm_inexact_to_exact); |
1cc91f1b | 4467 | |
0f2d19dd | 4468 | SCM |
f872b822 | 4469 | scm_inexact_to_exact (z) |
0f2d19dd | 4470 | SCM z; |
0f2d19dd | 4471 | { |
f872b822 MD |
4472 | if (SCM_INUMP (z)) |
4473 | return z; | |
4474 | #ifdef SCM_BIGDIG | |
4475 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4476 | if (SCM_BIGP (z)) | |
4477 | return z; | |
4478 | #ifndef SCM_RECKLESS | |
4479 | if (!(SCM_REALP (z))) | |
4480 | { | |
4481 | badz: | |
4482 | scm_wta (z, (char *) SCM_ARG1, s_inexact_to_exact); | |
4483 | } | |
4484 | #endif | |
4485 | #else | |
4486 | SCM_ASSERT (SCM_NIMP (z) && SCM_REALP (z), z, SCM_ARG1, s_inexact_to_exact); | |
4487 | #endif | |
4488 | #ifdef SCM_BIGDIG | |
0f2d19dd | 4489 | { |
f872b822 MD |
4490 | double u = floor (SCM_REALPART (z) + 0.5); |
4491 | if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM)) | |
4492 | { | |
4493 | /* Negation is a workaround for HP700 cc bug */ | |
4494 | SCM ans = SCM_MAKINUM ((long) u); | |
4495 | if (SCM_INUM (ans) == (long) u) | |
4496 | return ans; | |
4497 | } | |
e6f3ef58 | 4498 | SCM_ASRTGO (isfinite (u), badz); /* problem? */ |
f872b822 | 4499 | return scm_dbl2big (u); |
0f2d19dd | 4500 | } |
f872b822 MD |
4501 | #else |
4502 | return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5)); | |
4503 | #endif | |
0f2d19dd JB |
4504 | } |
4505 | ||
4506 | ||
4507 | ||
f872b822 MD |
4508 | #else /* ~SCM_FLOATS */ |
4509 | SCM_PROC (s_trunc, "truncate", 1, 0, 0, scm_trunc); | |
1cc91f1b | 4510 | |
0f2d19dd | 4511 | SCM |
f872b822 | 4512 | scm_trunc (x) |
0f2d19dd | 4513 | SCM x; |
0f2d19dd | 4514 | { |
f872b822 | 4515 | SCM_ASSERT (SCM_INUMP (x), x, SCM_ARG1, s_truncate); |
0f2d19dd JB |
4516 | return x; |
4517 | } | |
4518 | ||
4519 | ||
4520 | ||
f872b822 | 4521 | #endif /* SCM_FLOATS */ |
0f2d19dd JB |
4522 | |
4523 | #ifdef SCM_BIGDIG | |
f872b822 | 4524 | #ifdef SCM_FLOATS |
0f2d19dd | 4525 | /* d must be integer */ |
1cc91f1b | 4526 | |
0f2d19dd | 4527 | SCM |
f872b822 | 4528 | scm_dbl2big (d) |
0f2d19dd | 4529 | double d; |
0f2d19dd JB |
4530 | { |
4531 | scm_sizet i = 0; | |
4532 | long c; | |
4533 | SCM_BIGDIG *digits; | |
4534 | SCM ans; | |
f872b822 MD |
4535 | double u = (d < 0) ? -d : d; |
4536 | while (0 != floor (u)) | |
4537 | { | |
4538 | u /= SCM_BIGRAD; | |
4539 | i++; | |
4540 | } | |
4541 | ans = scm_mkbig (i, d < 0); | |
4542 | digits = SCM_BDIGITS (ans); | |
4543 | while (i--) | |
4544 | { | |
4545 | u *= SCM_BIGRAD; | |
4546 | c = floor (u); | |
4547 | u -= c; | |
4548 | digits[i] = c; | |
4549 | } | |
cf7c17e9 | 4550 | #ifndef SCM_RECKLESS |
e1724d20 | 4551 | if (u != 0) |
52859adf | 4552 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4553 | #endif |
0f2d19dd JB |
4554 | return ans; |
4555 | } | |
4556 | ||
4557 | ||
4558 | ||
0f2d19dd | 4559 | double |
f872b822 | 4560 | scm_big2dbl (b) |
0f2d19dd | 4561 | SCM b; |
0f2d19dd JB |
4562 | { |
4563 | double ans = 0.0; | |
f872b822 MD |
4564 | scm_sizet i = SCM_NUMDIGS (b); |
4565 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4566 | while (i--) | |
4567 | ans = digits[i] + SCM_BIGRAD * ans; | |
4568 | if (scm_tc16_bigneg == SCM_TYP16 (b)) | |
4569 | return -ans; | |
0f2d19dd JB |
4570 | return ans; |
4571 | } | |
f872b822 | 4572 | #endif |
0f2d19dd JB |
4573 | #endif |
4574 | ||
1cc91f1b | 4575 | |
0f2d19dd | 4576 | SCM |
f872b822 | 4577 | scm_long2num (sl) |
0f2d19dd | 4578 | long sl; |
0f2d19dd | 4579 | { |
f872b822 MD |
4580 | if (!SCM_FIXABLE (sl)) |
4581 | { | |
0f2d19dd | 4582 | #ifdef SCM_BIGDIG |
f872b822 | 4583 | return scm_long2big (sl); |
0f2d19dd | 4584 | #else |
f872b822 MD |
4585 | #ifdef SCM_FLOATS |
4586 | return scm_makdbl ((double) sl, 0.0); | |
4587 | #else | |
4588 | return SCM_BOOL_F; | |
0f2d19dd | 4589 | #endif |
f872b822 MD |
4590 | #endif |
4591 | } | |
4592 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4593 | } |
4594 | ||
4595 | ||
4596 | #ifdef LONGLONGS | |
1cc91f1b | 4597 | |
0f2d19dd | 4598 | SCM |
f872b822 | 4599 | scm_long_long2num (sl) |
0f2d19dd | 4600 | long_long sl; |
0f2d19dd | 4601 | { |
f872b822 MD |
4602 | if (!SCM_FIXABLE (sl)) |
4603 | { | |
0f2d19dd | 4604 | #ifdef SCM_BIGDIG |
f872b822 | 4605 | return scm_long_long2big (sl); |
0f2d19dd | 4606 | #else |
f872b822 MD |
4607 | #ifdef SCM_FLOATS |
4608 | return scm_makdbl ((double) sl, 0.0); | |
4609 | #else | |
4610 | return SCM_BOOL_F; | |
0f2d19dd | 4611 | #endif |
f872b822 MD |
4612 | #endif |
4613 | } | |
4614 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4615 | } |
4616 | #endif | |
4617 | ||
4618 | ||
1cc91f1b | 4619 | |
0f2d19dd | 4620 | SCM |
f872b822 | 4621 | scm_ulong2num (sl) |
0f2d19dd | 4622 | unsigned long sl; |
0f2d19dd | 4623 | { |
f872b822 MD |
4624 | if (!SCM_POSFIXABLE (sl)) |
4625 | { | |
0f2d19dd | 4626 | #ifdef SCM_BIGDIG |
f872b822 | 4627 | return scm_ulong2big (sl); |
0f2d19dd | 4628 | #else |
f872b822 MD |
4629 | #ifdef SCM_FLOATS |
4630 | return scm_makdbl ((double) sl, 0.0); | |
4631 | #else | |
4632 | return SCM_BOOL_F; | |
0f2d19dd | 4633 | #endif |
f872b822 MD |
4634 | #endif |
4635 | } | |
4636 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4637 | } |
4638 | ||
1cc91f1b | 4639 | |
0f2d19dd | 4640 | long |
f872b822 | 4641 | scm_num2long (num, pos, s_caller) |
0f2d19dd JB |
4642 | SCM num; |
4643 | char *pos; | |
3eeba8d4 | 4644 | const char *s_caller; |
0f2d19dd JB |
4645 | { |
4646 | long res; | |
f872b822 | 4647 | if (SCM_INUMP (num)) |
0f2d19dd | 4648 | { |
f872b822 | 4649 | res = SCM_INUM (num); |
0f2d19dd JB |
4650 | return res; |
4651 | } | |
f872b822 | 4652 | SCM_ASRTGO (SCM_NIMP (num), errout); |
0f2d19dd | 4653 | #ifdef SCM_FLOATS |
f872b822 | 4654 | if (SCM_REALP (num)) |
0f2d19dd | 4655 | { |
f872b822 | 4656 | double u = SCM_REALPART (num); |
0f2d19dd | 4657 | res = u; |
f872b822 | 4658 | if ((double) res == u) |
0f2d19dd JB |
4659 | { |
4660 | return res; | |
4661 | } | |
4662 | } | |
4663 | #endif | |
4664 | #ifdef SCM_BIGDIG | |
f872b822 MD |
4665 | if (SCM_BIGP (num)) |
4666 | { | |
4667 | long oldres; | |
4668 | scm_sizet l; | |
4669 | res = 0; | |
4670 | oldres = 0; | |
4671 | for (l = SCM_NUMDIGS (num); l--;) | |
4672 | { | |
4673 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4674 | if (res < oldres) | |
4675 | goto errout; | |
4676 | oldres = res; | |
4677 | } | |
4678 | if (SCM_TYP16 (num) == scm_tc16_bigpos) | |
4679 | return res; | |
4680 | else | |
4681 | return -res; | |
4682 | } | |
0f2d19dd | 4683 | #endif |
f872b822 MD |
4684 | errout: |
4685 | scm_wta (num, pos, s_caller); | |
0f2d19dd JB |
4686 | return SCM_UNSPECIFIED; |
4687 | } | |
4688 | ||
4689 | ||
4690 | ||
0f2d19dd | 4691 | #ifdef LONGLONGS |
1cc91f1b | 4692 | |
0f2d19dd | 4693 | long_long |
f872b822 | 4694 | scm_num2long_long (num, pos, s_caller) |
0f2d19dd JB |
4695 | SCM num; |
4696 | char *pos; | |
3eeba8d4 | 4697 | const char *s_caller; |
0f2d19dd JB |
4698 | { |
4699 | long_long res; | |
f872b822 MD |
4700 | if (SCM_INUMP (num)) |
4701 | { | |
4702 | res = SCM_INUM ((long_long) num); | |
0f2d19dd JB |
4703 | return res; |
4704 | } | |
f872b822 MD |
4705 | SCM_ASRTGO (SCM_NIMP (num), errout); |
4706 | #ifdef SCM_FLOATS | |
4707 | if (SCM_REALP (num)) | |
4708 | { | |
4709 | double u = SCM_REALPART (num); | |
4710 | if (((SCM_MOST_NEGATIVE_FIXNUM * 4) <= u) | |
4711 | && (u <= (SCM_MOST_POSITIVE_FIXNUM * 4 + 3))) | |
4712 | { | |
4713 | res = u; | |
4714 | return res; | |
4715 | } | |
4716 | } | |
0f2d19dd JB |
4717 | #endif |
4718 | #ifdef SCM_BIGDIG | |
f872b822 MD |
4719 | if (SCM_BIGP (num)) |
4720 | { | |
4721 | scm_sizet l = SCM_NUMDIGS (num); | |
4722 | SCM_ASRTGO (SCM_DIGSPERLONGLONG >= l, errout); | |
4723 | res = 0; | |
4724 | for (; l--;) | |
4725 | res = SCM_LONGLONGBIGUP (res) + SCM_BDIGITS (num)[l]; | |
4726 | return res; | |
4727 | } | |
0f2d19dd | 4728 | #endif |
f872b822 MD |
4729 | errout: |
4730 | scm_wta (num, pos, s_caller); | |
0f2d19dd JB |
4731 | return SCM_UNSPECIFIED; |
4732 | } | |
4733 | #endif | |
4734 | ||
4735 | ||
1cc91f1b | 4736 | |
0f2d19dd | 4737 | unsigned long |
f872b822 | 4738 | scm_num2ulong (num, pos, s_caller) |
0f2d19dd JB |
4739 | SCM num; |
4740 | char *pos; | |
3eeba8d4 | 4741 | const char *s_caller; |
0f2d19dd JB |
4742 | { |
4743 | unsigned long res; | |
f872b822 | 4744 | if (SCM_INUMP (num)) |
0f2d19dd | 4745 | { |
f872b822 | 4746 | res = SCM_INUM ((unsigned long) num); |
0f2d19dd JB |
4747 | return res; |
4748 | } | |
f872b822 | 4749 | SCM_ASRTGO (SCM_NIMP (num), errout); |
0f2d19dd | 4750 | #ifdef SCM_FLOATS |
f872b822 | 4751 | if (SCM_REALP (num)) |
0f2d19dd | 4752 | { |
f872b822 MD |
4753 | double u = SCM_REALPART (num); |
4754 | if ((0 <= u) && (u <= (unsigned long) ~0L)) | |
0f2d19dd JB |
4755 | { |
4756 | res = u; | |
4757 | return res; | |
4758 | } | |
4759 | } | |
4760 | #endif | |
4761 | #ifdef SCM_BIGDIG | |
f872b822 MD |
4762 | if (SCM_BIGP (num)) |
4763 | { | |
4764 | unsigned long oldres; | |
4765 | scm_sizet l; | |
4766 | res = 0; | |
4767 | oldres = 0; | |
4768 | for (l = SCM_NUMDIGS (num); l--;) | |
4769 | { | |
4770 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4771 | if (res < oldres) | |
4772 | goto errout; | |
4773 | oldres = res; | |
4774 | } | |
4775 | return res; | |
4776 | } | |
0f2d19dd | 4777 | #endif |
f872b822 MD |
4778 | errout: |
4779 | scm_wta (num, pos, s_caller); | |
0f2d19dd JB |
4780 | return SCM_UNSPECIFIED; |
4781 | } | |
4782 | ||
4783 | ||
4784 | #ifdef SCM_FLOATS | |
f872b822 | 4785 | #ifndef DBL_DIG |
1cc91f1b | 4786 | static void add1 SCM_P ((double f, double *fsum)); |
f872b822 MD |
4787 | static void |
4788 | add1 (f, fsum) | |
0f2d19dd JB |
4789 | double f, *fsum; |
4790 | { | |
4791 | *fsum = f + 1.0; | |
4792 | } | |
f872b822 | 4793 | #endif |
0f2d19dd JB |
4794 | #endif |
4795 | ||
4796 | ||
1cc91f1b | 4797 | |
0f2d19dd JB |
4798 | void |
4799 | scm_init_numbers () | |
0f2d19dd JB |
4800 | { |
4801 | #ifdef SCM_FLOATS | |
f872b822 MD |
4802 | SCM_NEWCELL (scm_flo0); |
4803 | #ifdef SCM_SINGLES | |
a6c64c3c | 4804 | SCM_SETCAR (scm_flo0, scm_tc_flo); |
f872b822 MD |
4805 | SCM_FLO (scm_flo0) = 0.0; |
4806 | #else | |
4807 | SCM_SETCDR (scm_flo0, (SCM) scm_must_malloc (1L * sizeof (double), "real")); | |
4808 | SCM_REAL (scm_flo0) = 0.0; | |
a6c64c3c | 4809 | SCM_SETCAR (scm_flo0, scm_tc_dblr); |
f872b822 MD |
4810 | #endif |
4811 | #ifdef DBL_DIG | |
0f2d19dd | 4812 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 4813 | #else |
0f2d19dd JB |
4814 | { /* determine floating point precision */ |
4815 | double f = 0.1; | |
f872b822 MD |
4816 | double fsum = 1.0 + f; |
4817 | while (fsum != 1.0) | |
4818 | { | |
4819 | f /= 10.0; | |
4820 | if (++scm_dblprec > 20) | |
4821 | break; | |
4822 | add1 (f, &fsum); | |
4823 | } | |
4824 | scm_dblprec = scm_dblprec - 1; | |
0f2d19dd | 4825 | } |
f872b822 | 4826 | #endif /* DBL_DIG */ |
0f2d19dd JB |
4827 | #endif |
4828 | #include "numbers.x" | |
4829 | } |