Commit | Line | Data |
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f3ae5d60 | 1 | /* Copyright (C) 1995,1996,1997,1998, 1999, 2000 Free Software Foundation, Inc. |
f872b822 | 2 | |
0f2d19dd JB |
3 | * This program is free software; you can redistribute it and/or modify |
4 | * it under the terms of the GNU General Public License as published by | |
5 | * the Free Software Foundation; either version 2, or (at your option) | |
6 | * any later version. | |
7 | * | |
8 | * This program is distributed in the hope that it will be useful, | |
9 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
10 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
11 | * GNU General Public License for more details. | |
12 | * | |
13 | * You should have received a copy of the GNU General Public License | |
14 | * along with this software; see the file COPYING. If not, write to | |
82892bed JB |
15 | * the Free Software Foundation, Inc., 59 Temple Place, Suite 330, |
16 | * Boston, MA 02111-1307 USA | |
0f2d19dd JB |
17 | * |
18 | * As a special exception, the Free Software Foundation gives permission | |
19 | * for additional uses of the text contained in its release of GUILE. | |
20 | * | |
21 | * The exception is that, if you link the GUILE library with other files | |
22 | * to produce an executable, this does not by itself cause the | |
23 | * resulting executable to be covered by the GNU General Public License. | |
24 | * Your use of that executable is in no way restricted on account of | |
25 | * linking the GUILE library code into it. | |
26 | * | |
27 | * This exception does not however invalidate any other reasons why | |
28 | * the executable file might be covered by the GNU General Public License. | |
29 | * | |
30 | * This exception applies only to the code released by the | |
31 | * Free Software Foundation under the name GUILE. If you copy | |
32 | * code from other Free Software Foundation releases into a copy of | |
33 | * GUILE, as the General Public License permits, the exception does | |
34 | * not apply to the code that you add in this way. To avoid misleading | |
35 | * anyone as to the status of such modified files, you must delete | |
36 | * this exception notice from them. | |
37 | * | |
38 | * If you write modifications of your own for GUILE, it is your choice | |
39 | * whether to permit this exception to apply to your modifications. | |
82892bed | 40 | * If you do not wish that, delete this exception notice. */ |
1bbd0b84 GB |
41 | |
42 | /* Software engineering face-lift by Greg J. Badros, 11-Dec-1999, | |
43 | gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */ | |
44 | ||
0f2d19dd JB |
45 | \f |
46 | ||
47 | #include <stdio.h> | |
48 | #include <math.h> | |
49 | #include "_scm.h" | |
20e6290e | 50 | #include "unif.h" |
dd856e23 | 51 | #include "feature.h" |
f04d8caf | 52 | #include "ports.h" |
ba11fd4c | 53 | #include "root.h" |
23a62151 | 54 | #include "smob.h" |
7ab3fdd5 | 55 | #include "strings.h" |
003d1fd0 | 56 | #include "vectors.h" |
0f2d19dd | 57 | |
b6791b2e | 58 | #include "validate.h" |
20e6290e | 59 | #include "numbers.h" |
0f2d19dd JB |
60 | \f |
61 | #define DIGITS '0':case '1':case '2':case '3':case '4':\ | |
62 | case '5':case '6':case '7':case '8':case '9' | |
63 | ||
64 | ||
65 | /* IS_INF tests its floating point number for infiniteness | |
66 | */ | |
67 | #ifndef IS_INF | |
f872b822 | 68 | #define IS_INF(x) ((x) == (x) / 2) |
0f2d19dd JB |
69 | #endif |
70 | ||
e6f3ef58 MD |
71 | /* Return true if X is not infinite and is not a NaN |
72 | */ | |
73 | #ifndef isfinite | |
74 | #define isfinite(x) (!IS_INF (x) && (x) == (x)) | |
75 | #endif | |
76 | ||
0f2d19dd JB |
77 | \f |
78 | ||
f872b822 | 79 | |
a1ec6916 | 80 | SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0, |
1bbd0b84 | 81 | (SCM x), |
b380b885 | 82 | "") |
1bbd0b84 | 83 | #define FUNC_NAME s_scm_exact_p |
0f2d19dd | 84 | { |
f872b822 MD |
85 | if (SCM_INUMP (x)) |
86 | return SCM_BOOL_T; | |
0f2d19dd | 87 | #ifdef SCM_BIGDIG |
0c95b57d | 88 | if (SCM_BIGP (x)) |
f872b822 | 89 | return SCM_BOOL_T; |
0f2d19dd JB |
90 | #endif |
91 | return SCM_BOOL_F; | |
92 | } | |
1bbd0b84 | 93 | #undef FUNC_NAME |
0f2d19dd | 94 | |
a1ec6916 | 95 | SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0, |
1bbd0b84 | 96 | (SCM n), |
b380b885 | 97 | "") |
1bbd0b84 | 98 | #define FUNC_NAME s_scm_odd_p |
0f2d19dd JB |
99 | { |
100 | #ifdef SCM_BIGDIG | |
f872b822 MD |
101 | if (SCM_NINUMP (n)) |
102 | { | |
3b3b36dd | 103 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 104 | return SCM_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 105 | } |
0f2d19dd | 106 | #else |
3b3b36dd | 107 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 108 | #endif |
1bbd0b84 | 109 | return SCM_BOOL(4 & (int) n); |
0f2d19dd | 110 | } |
1bbd0b84 | 111 | #undef FUNC_NAME |
0f2d19dd | 112 | |
a1ec6916 | 113 | SCM_DEFINE (scm_even_p, "even?", 1, 0, 0, |
1bbd0b84 | 114 | (SCM n), |
b380b885 | 115 | "") |
1bbd0b84 | 116 | #define FUNC_NAME s_scm_even_p |
0f2d19dd JB |
117 | { |
118 | #ifdef SCM_BIGDIG | |
f872b822 MD |
119 | if (SCM_NINUMP (n)) |
120 | { | |
3b3b36dd | 121 | SCM_VALIDATE_BIGINT (1,n); |
1bbd0b84 | 122 | return SCM_NEGATE_BOOL(1 & SCM_BDIGITS (n)[0]); |
f872b822 | 123 | } |
0f2d19dd | 124 | #else |
3b3b36dd | 125 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 126 | #endif |
1bbd0b84 | 127 | return SCM_NEGATE_BOOL(4 & (int) n); |
0f2d19dd | 128 | } |
1bbd0b84 | 129 | #undef FUNC_NAME |
0f2d19dd | 130 | |
9de33deb | 131 | SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs); |
1cc91f1b | 132 | |
0f2d19dd | 133 | SCM |
6e8d25a6 | 134 | scm_abs (SCM x) |
0f2d19dd | 135 | { |
c209c88e | 136 | long int cx; |
0f2d19dd | 137 | #ifdef SCM_BIGDIG |
f872b822 MD |
138 | if (SCM_NINUMP (x)) |
139 | { | |
0c95b57d | 140 | SCM_GASSERT1 (SCM_BIGP (x), g_abs, x, SCM_ARG1, s_abs); |
f3ae5d60 | 141 | if (!SCM_BIGSIGN (x)) |
f872b822 MD |
142 | return x; |
143 | return scm_copybig (x, 0); | |
144 | } | |
0f2d19dd | 145 | #else |
9de33deb | 146 | SCM_GASSERT1 (SCM_INUMP (x), g_abs, x, SCM_ARG1, s_abs); |
0f2d19dd | 147 | #endif |
f872b822 MD |
148 | if (SCM_INUM (x) >= 0) |
149 | return x; | |
c209c88e GB |
150 | cx = - SCM_INUM (x); |
151 | if (!SCM_POSFIXABLE (cx)) | |
0f2d19dd | 152 | #ifdef SCM_BIGDIG |
c209c88e | 153 | return scm_long2big (cx); |
0f2d19dd | 154 | #else |
c209c88e | 155 | scm_num_overflow (s_abs); |
0f2d19dd | 156 | #endif |
c209c88e | 157 | return SCM_MAKINUM (cx); |
0f2d19dd JB |
158 | } |
159 | ||
9de33deb | 160 | SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient); |
1cc91f1b | 161 | |
0f2d19dd | 162 | SCM |
6e8d25a6 | 163 | scm_quotient (SCM x, SCM y) |
0f2d19dd JB |
164 | { |
165 | register long z; | |
166 | #ifdef SCM_BIGDIG | |
f872b822 MD |
167 | if (SCM_NINUMP (x)) |
168 | { | |
0c95b57d | 169 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 170 | g_quotient, x, y, SCM_ARG1, s_quotient); |
f872b822 MD |
171 | if (SCM_NINUMP (y)) |
172 | { | |
0c95b57d | 173 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
174 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
175 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
176 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
177 | } | |
178 | z = SCM_INUM (y); | |
179 | SCM_ASRTGO (z, ov); | |
180 | if (1 == z) | |
181 | return x; | |
182 | if (z < 0) | |
183 | z = -z; | |
184 | if (z < SCM_BIGRAD) | |
185 | { | |
f3ae5d60 MD |
186 | SCM sw = scm_copybig (x, |
187 | SCM_BIGSIGN (x) | |
188 | ? (SCM_UNPACK (y) > 0) | |
189 | : (SCM_UNPACK (y) < 0)); | |
c209c88e GB |
190 | scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z); |
191 | return scm_normbig (sw); | |
f872b822 | 192 | } |
c209c88e | 193 | { /* scope */ |
0f2d19dd | 194 | #ifndef SCM_DIGSTOOBIG |
c209c88e | 195 | long w = scm_pseudolong (z); |
f872b822 MD |
196 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
197 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
198 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
0f2d19dd | 199 | #else |
f872b822 MD |
200 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
201 | scm_longdigs (z, zdigs); | |
202 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
203 | zdigs, SCM_DIGSPERLONG, | |
204 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 2); | |
f872b822 | 205 | #endif |
c209c88e | 206 | } /* end scope */ |
0f2d19dd | 207 | } |
f872b822 MD |
208 | if (SCM_NINUMP (y)) |
209 | { | |
0c95b57d | 210 | if (!SCM_BIGP (y)) |
f872b822 MD |
211 | { |
212 | bady: | |
9de33deb | 213 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); |
f872b822 | 214 | } |
f872b822 MD |
215 | return SCM_INUM0; |
216 | } | |
0f2d19dd | 217 | #else |
9de33deb MD |
218 | SCM_GASSERT2 (SCM_INUMP (x), g_quotient, x, y, SCM_ARG1, s_quotient); |
219 | SCM_GASSERT2 (SCM_INUMP (y), g_quotient, x, y, SCM_ARG2, s_quotient); | |
0f2d19dd | 220 | #endif |
f872b822 MD |
221 | if ((z = SCM_INUM (y)) == 0) |
222 | { | |
223 | ov: | |
224 | scm_num_overflow (s_quotient); | |
225 | } | |
226 | z = SCM_INUM (x) / z; | |
0f2d19dd JB |
227 | #ifdef BADIVSGNS |
228 | { | |
f872b822 MD |
229 | #if (__TURBOC__ == 1) |
230 | long t = ((y < 0) ? -SCM_INUM (x) : SCM_INUM (x)) % SCM_INUM (y); | |
0f2d19dd | 231 | #else |
f872b822 | 232 | long t = SCM_INUM (x) % SCM_INUM (y); |
0f2d19dd | 233 | #endif |
f872b822 | 234 | if (t == 0); |
0f2d19dd | 235 | else if (t < 0) |
f872b822 MD |
236 | if (x < 0); |
237 | else | |
238 | z--; | |
239 | else if (x < 0) | |
240 | z++; | |
0f2d19dd JB |
241 | } |
242 | #endif | |
f872b822 | 243 | if (!SCM_FIXABLE (z)) |
0f2d19dd | 244 | #ifdef SCM_BIGDIG |
f872b822 | 245 | return scm_long2big (z); |
0f2d19dd | 246 | #else |
52859adf | 247 | scm_num_overflow (s_quotient); |
0f2d19dd | 248 | #endif |
f872b822 | 249 | return SCM_MAKINUM (z); |
0f2d19dd JB |
250 | } |
251 | ||
9de33deb | 252 | SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder); |
1cc91f1b | 253 | |
0f2d19dd | 254 | SCM |
6e8d25a6 | 255 | scm_remainder (SCM x, SCM y) |
0f2d19dd JB |
256 | { |
257 | register long z; | |
258 | #ifdef SCM_BIGDIG | |
f872b822 MD |
259 | if (SCM_NINUMP (x)) |
260 | { | |
0c95b57d | 261 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 262 | g_remainder, x, y, SCM_ARG1, s_remainder); |
f872b822 MD |
263 | if (SCM_NINUMP (y)) |
264 | { | |
0c95b57d | 265 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
266 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
267 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
268 | SCM_BIGSIGN (x), 0); | |
269 | } | |
270 | if (!(z = SCM_INUM (y))) | |
271 | goto ov; | |
272 | return scm_divbigint (x, z, SCM_BIGSIGN (x), 0); | |
273 | } | |
274 | if (SCM_NINUMP (y)) | |
275 | { | |
0c95b57d | 276 | if (!SCM_BIGP (y)) |
f872b822 MD |
277 | { |
278 | bady: | |
9de33deb | 279 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); |
f872b822 | 280 | } |
f872b822 | 281 | return x; |
0f2d19dd | 282 | } |
0f2d19dd | 283 | #else |
9de33deb MD |
284 | SCM_GASSERT2 (SCM_INUMP (x), g_remainder, x, y, SCM_ARG1, s_remainder); |
285 | SCM_GASSERT2 (SCM_INUMP (y), g_remainder, x, y, SCM_ARG2, s_remainder); | |
0f2d19dd | 286 | #endif |
f872b822 MD |
287 | if (!(z = SCM_INUM (y))) |
288 | { | |
289 | ov: | |
290 | scm_num_overflow (s_remainder); | |
291 | } | |
292 | #if (__TURBOC__ == 1) | |
293 | if (z < 0) | |
294 | z = -z; | |
0f2d19dd | 295 | #endif |
f872b822 | 296 | z = SCM_INUM (x) % z; |
0f2d19dd | 297 | #ifdef BADIVSGNS |
f872b822 | 298 | if (!z); |
0f2d19dd | 299 | else if (z < 0) |
f872b822 MD |
300 | if (x < 0); |
301 | else | |
302 | z += SCM_INUM (y); | |
303 | else if (x < 0) | |
304 | z -= SCM_INUM (y); | |
0f2d19dd | 305 | #endif |
f872b822 | 306 | return SCM_MAKINUM (z); |
0f2d19dd JB |
307 | } |
308 | ||
9de33deb | 309 | SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo); |
1cc91f1b | 310 | |
0f2d19dd | 311 | SCM |
6e8d25a6 | 312 | scm_modulo (SCM x, SCM y) |
0f2d19dd JB |
313 | { |
314 | register long yy, z; | |
315 | #ifdef SCM_BIGDIG | |
f872b822 MD |
316 | if (SCM_NINUMP (x)) |
317 | { | |
0c95b57d | 318 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 319 | g_modulo, x, y, SCM_ARG1, s_modulo); |
f872b822 MD |
320 | if (SCM_NINUMP (y)) |
321 | { | |
0c95b57d | 322 | SCM_ASRTGO (SCM_BIGP (y), bady); |
f872b822 MD |
323 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
324 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
325 | SCM_BIGSIGN (y), | |
326 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
327 | } | |
328 | if (!(z = SCM_INUM (y))) | |
329 | goto ov; | |
330 | return scm_divbigint (x, z, y < 0, | |
331 | (SCM_BIGSIGN (x) ? (y > 0) : (y < 0)) ? 1 : 0); | |
332 | } | |
333 | if (SCM_NINUMP (y)) | |
334 | { | |
0c95b57d | 335 | if (!SCM_BIGP (y)) |
f872b822 MD |
336 | { |
337 | bady: | |
9de33deb | 338 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); |
f872b822 | 339 | } |
f872b822 | 340 | return (SCM_BIGSIGN (y) ? (x > 0) : (x < 0)) ? scm_sum (x, y) : x; |
0f2d19dd | 341 | } |
0f2d19dd | 342 | #else |
9de33deb MD |
343 | SCM_GASSERT1 (SCM_INUMP (x), g_modulo, x, y, SCM_ARG1, s_modulo); |
344 | SCM_GASSERT2 (SCM_INUMP (y), g_modulo, x, y, SCM_ARG2, s_modulo); | |
0f2d19dd | 345 | #endif |
f872b822 MD |
346 | if (!(yy = SCM_INUM (y))) |
347 | { | |
348 | ov: | |
349 | scm_num_overflow (s_modulo); | |
350 | } | |
0f2d19dd | 351 | #if (__TURBOC__==1) |
f872b822 MD |
352 | z = SCM_INUM (x); |
353 | z = ((yy < 0) ? -z : z) % yy; | |
0f2d19dd | 354 | #else |
f872b822 | 355 | z = SCM_INUM (x) % yy; |
0f2d19dd | 356 | #endif |
f872b822 | 357 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); |
0f2d19dd JB |
358 | } |
359 | ||
9de33deb | 360 | SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd); |
1cc91f1b | 361 | |
0f2d19dd | 362 | SCM |
6e8d25a6 | 363 | scm_gcd (SCM x, SCM y) |
0f2d19dd | 364 | { |
c209c88e | 365 | long u, v, k, t; |
f872b822 MD |
366 | if (SCM_UNBNDP (y)) |
367 | return SCM_UNBNDP (x) ? SCM_INUM0 : x; | |
0f2d19dd JB |
368 | tailrec: |
369 | #ifdef SCM_BIGDIG | |
f872b822 MD |
370 | if (SCM_NINUMP (x)) |
371 | { | |
372 | big_gcd: | |
0c95b57d | 373 | SCM_GASSERT2 (SCM_BIGP (x), |
9de33deb | 374 | g_gcd, x, y, SCM_ARG1, s_gcd); |
f872b822 MD |
375 | if (SCM_BIGSIGN (x)) |
376 | x = scm_copybig (x, 0); | |
377 | newy: | |
378 | if (SCM_NINUMP (y)) | |
379 | { | |
0c95b57d | 380 | SCM_GASSERT2 (SCM_BIGP (y), |
9de33deb | 381 | g_gcd, x, y, SCM_ARGn, s_gcd); |
f872b822 MD |
382 | if (SCM_BIGSIGN (y)) |
383 | y = scm_copybig (y, 0); | |
384 | switch (scm_bigcomp (x, y)) | |
385 | { | |
386 | case -1: | |
387 | swaprec: | |
c209c88e GB |
388 | { |
389 | SCM t = scm_remainder (x, y); | |
390 | x = y; | |
391 | y = t; | |
392 | } | |
f872b822 MD |
393 | goto tailrec; |
394 | case 0: | |
395 | return x; | |
396 | case 1: | |
397 | y = scm_remainder (y, x); | |
398 | goto newy; | |
399 | } | |
400 | /* instead of the switch, we could just | |
401 | return scm_gcd (y, scm_modulo (x, y)); */ | |
402 | } | |
403 | if (SCM_INUM0 == y) | |
404 | return x; | |
405 | goto swaprec; | |
0f2d19dd | 406 | } |
f872b822 MD |
407 | if (SCM_NINUMP (y)) |
408 | { | |
c209c88e | 409 | SCM t = x; |
f872b822 MD |
410 | x = y; |
411 | y = t; | |
412 | goto big_gcd; | |
413 | } | |
414 | #else | |
9de33deb MD |
415 | SCM_GASSERT2 (SCM_INUMP (x), g_gcd, x, y, SCM_ARG1, s_gcd); |
416 | SCM_GASSERT2 (SCM_INUMP (y), g_gcd, x, y, SCM_ARGn, s_gcd); | |
f872b822 MD |
417 | #endif |
418 | u = SCM_INUM (x); | |
419 | if (u < 0) | |
420 | u = -u; | |
421 | v = SCM_INUM (y); | |
422 | if (v < 0) | |
423 | v = -v; | |
424 | else if (0 == v) | |
425 | goto getout; | |
426 | if (0 == u) | |
427 | { | |
428 | u = v; | |
429 | goto getout; | |
430 | } | |
431 | for (k = 1; !(1 & ((int) u | (int) v)); k <<= 1, u >>= 1, v >>= 1); | |
432 | if (1 & (int) u) | |
433 | t = -v; | |
434 | else | |
435 | { | |
436 | t = u; | |
437 | b3: | |
438 | t = SCM_SRS (t, 1); | |
439 | } | |
440 | if (!(1 & (int) t)) | |
441 | goto b3; | |
442 | if (t > 0) | |
443 | u = t; | |
444 | else | |
445 | v = -t; | |
446 | if ((t = u - v)) | |
447 | goto b3; | |
448 | u = u * k; | |
0f2d19dd | 449 | getout: |
f872b822 | 450 | if (!SCM_POSFIXABLE (u)) |
0f2d19dd | 451 | #ifdef SCM_BIGDIG |
f872b822 | 452 | return scm_long2big (u); |
0f2d19dd | 453 | #else |
52859adf | 454 | scm_num_overflow (s_gcd); |
0f2d19dd | 455 | #endif |
f872b822 | 456 | return SCM_MAKINUM (u); |
0f2d19dd JB |
457 | } |
458 | ||
9de33deb | 459 | SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm); |
1cc91f1b | 460 | |
0f2d19dd | 461 | SCM |
6e8d25a6 | 462 | scm_lcm (SCM n1, SCM n2) |
0f2d19dd JB |
463 | { |
464 | SCM d; | |
02a3305a | 465 | #ifndef SCM_BIGDIG |
87fbf1be MD |
466 | SCM_GASSERT2 (SCM_INUMP (n1) || SCM_UNBNDP (n1), |
467 | g_lcm, n1, n2, SCM_ARG1, s_lcm); | |
02a3305a MD |
468 | SCM_GASSERT2 (SCM_INUMP (n2) || SCM_UNBNDP (n2), |
469 | g_lcm, n1, n2, SCM_ARGn, s_lcm); | |
9de33deb | 470 | #else |
87fbf1be MD |
471 | SCM_GASSERT2 (SCM_INUMP (n1) |
472 | || SCM_UNBNDP (n1) | |
0c95b57d | 473 | || (SCM_BIGP (n1)), |
9de33deb | 474 | g_lcm, n1, n2, SCM_ARG1, s_lcm); |
02a3305a MD |
475 | SCM_GASSERT2 (SCM_INUMP (n2) |
476 | || SCM_UNBNDP (n2) | |
0c95b57d | 477 | || (SCM_BIGP (n2)), |
9de33deb MD |
478 | g_lcm, n1, n2, SCM_ARGn, s_lcm); |
479 | #endif | |
f872b822 MD |
480 | if (SCM_UNBNDP (n2)) |
481 | { | |
482 | n2 = SCM_MAKINUM (1L); | |
483 | if (SCM_UNBNDP (n1)) | |
484 | return n2; | |
485 | } | |
9de33deb | 486 | |
f872b822 MD |
487 | d = scm_gcd (n1, n2); |
488 | if (SCM_INUM0 == d) | |
489 | return d; | |
490 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
0f2d19dd JB |
491 | } |
492 | ||
0f2d19dd | 493 | #ifndef scm_long2num |
c1bfcf60 GB |
494 | #define SCM_LOGOP_RETURN(x) scm_ulong2num(x) |
495 | #else | |
496 | #define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x) | |
497 | #endif | |
498 | ||
8a525303 GB |
499 | |
500 | /* Emulating 2's complement bignums with sign magnitude arithmetic: | |
501 | ||
502 | Logand: | |
503 | X Y Result Method: | |
504 | (len) | |
505 | + + + x (map digit:logand X Y) | |
506 | + - + x (map digit:logand X (lognot (+ -1 Y))) | |
507 | - + + y (map digit:logand (lognot (+ -1 X)) Y) | |
508 | - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) | |
509 | ||
510 | Logior: | |
511 | X Y Result Method: | |
512 | ||
513 | + + + (map digit:logior X Y) | |
514 | + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) | |
515 | - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) | |
516 | - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) | |
517 | ||
518 | Logxor: | |
519 | X Y Result Method: | |
520 | ||
521 | + + + (map digit:logxor X Y) | |
522 | + - - (+ 1 (map digit:logxor X (+ -1 Y))) | |
523 | - + - (+ 1 (map digit:logxor (+ -1 X) Y)) | |
524 | - - + (map digit:logxor (+ -1 X) (+ -1 Y)) | |
525 | ||
526 | Logtest: | |
527 | X Y Result | |
528 | ||
529 | + + (any digit:logand X Y) | |
530 | + - (any digit:logand X (lognot (+ -1 Y))) | |
531 | - + (any digit:logand (lognot (+ -1 X)) Y) | |
532 | - - #t | |
533 | ||
534 | */ | |
535 | ||
536 | #ifdef SCM_BIGDIG | |
537 | ||
538 | SCM scm_copy_big_dec(SCM b, int sign); | |
539 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn); | |
540 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
541 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
542 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn); | |
543 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
544 | ||
545 | SCM scm_copy_big_dec(SCM b, int sign) | |
546 | { | |
547 | long num = -1; | |
548 | scm_sizet nx = SCM_NUMDIGS(b); | |
549 | scm_sizet i = 0; | |
550 | SCM ans = scm_mkbig(nx, sign); | |
551 | SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans); | |
552 | if SCM_BIGSIGN(b) do { | |
553 | num += src[i]; | |
554 | if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;} | |
555 | else {dst[i] = SCM_BIGLO(num); num = 0;} | |
556 | } while (++i < nx); | |
557 | else | |
558 | while (nx--) dst[nx] = src[nx]; | |
559 | return ans; | |
560 | } | |
561 | ||
562 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn) | |
563 | { | |
564 | long num = -1; | |
565 | scm_sizet i = 0; | |
566 | SCM z = scm_mkbig(nx, zsgn); | |
567 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
568 | if (zsgn) do { | |
569 | num += x[i]; | |
570 | if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;} | |
571 | else {zds[i] = SCM_BIGLO(num); num = 0;} | |
572 | } while (++i < nx); | |
573 | else do zds[i] = x[i]; while (++i < nx); | |
574 | return z; | |
575 | } | |
576 | ||
577 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
578 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 579 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
580 | { |
581 | long num = -1; | |
582 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
f3ae5d60 | 583 | SCM z = scm_copy_big_dec (bigy, xsgn & SCM_BIGSIGN (bigy)); |
8a525303 GB |
584 | SCM_BIGDIG *zds = SCM_BDIGITS(z); |
585 | if (xsgn) { | |
586 | do { | |
587 | num += x[i]; | |
588 | if (num < 0) {zds[i] |= num + SCM_BIGRAD; num = -1;} | |
589 | else {zds[i] |= SCM_BIGLO(num); num = 0;} | |
590 | } while (++i < nx); | |
591 | /* ========= Need to increment zds now =========== */ | |
592 | i = 0; num = 1; | |
593 | while (i < ny) { | |
594 | num += zds[i]; | |
595 | zds[i++] = SCM_BIGLO(num); | |
596 | num = SCM_BIGDN(num); | |
597 | if (!num) return z; | |
598 | } | |
599 | scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */ | |
600 | SCM_BDIGITS(z)[ny] = 1; | |
601 | return z; | |
602 | } | |
603 | else do zds[i] = zds[i] | x[i]; while (++i < nx); | |
604 | return z; | |
605 | } | |
606 | ||
607 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
608 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 609 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
610 | { |
611 | long num = -1; | |
612 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
613 | SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy)); | |
614 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
615 | if (xsgn) do { | |
616 | num += x[i]; | |
617 | if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;} | |
618 | else {zds[i] ^= SCM_BIGLO(num); num = 0;} | |
619 | } while (++i < nx); | |
620 | else do { | |
621 | zds[i] = zds[i] ^ x[i]; | |
622 | } while (++i < nx); | |
623 | ||
624 | if (xsgn ^ SCM_BIGSIGN(bigy)) { | |
625 | /* ========= Need to increment zds now =========== */ | |
626 | i = 0; num = 1; | |
627 | while (i < ny) { | |
628 | num += zds[i]; | |
629 | zds[i++] = SCM_BIGLO(num); | |
630 | num = SCM_BIGDN(num); | |
631 | if (!num) return scm_normbig(z); | |
632 | } | |
633 | } | |
634 | return scm_normbig(z); | |
635 | } | |
636 | ||
637 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn) | |
638 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 MD |
639 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
640 | /* return sign equals either 0 or SCM_BIGSIGNFLAG */ | |
8a525303 GB |
641 | { |
642 | long num = -1; | |
643 | scm_sizet i = 0; | |
644 | SCM z; | |
645 | SCM_BIGDIG *zds; | |
646 | if (xsgn==zsgn) { | |
647 | z = scm_copy_smaller(x, nx, zsgn); | |
648 | x = SCM_BDIGITS(bigy); | |
649 | xsgn = SCM_BIGSIGN(bigy); | |
650 | } | |
651 | else z = scm_copy_big_dec(bigy, zsgn); | |
652 | zds = SCM_BDIGITS(z); | |
653 | ||
654 | if (zsgn) { | |
655 | if (xsgn) do { | |
656 | num += x[i]; | |
657 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
658 | else {zds[i] &= SCM_BIGLO(num); num = 0;} | |
659 | } while (++i < nx); | |
660 | else do zds[i] = zds[i] & ~x[i]; while (++i < nx); | |
661 | /* ========= need to increment zds now =========== */ | |
662 | i = 0; num = 1; | |
663 | while (i < nx) { | |
664 | num += zds[i]; | |
665 | zds[i++] = SCM_BIGLO(num); | |
666 | num = SCM_BIGDN(num); | |
667 | if (!num) return scm_normbig(z); | |
668 | } | |
669 | } | |
670 | else if (xsgn) do { | |
671 | num += x[i]; | |
672 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
673 | else {zds[i] &= ~SCM_BIGLO(num); num = 0;} | |
674 | } while (++i < nx); | |
675 | else do zds[i] = zds[i] & x[i]; while (++i < nx); | |
676 | return scm_normbig(z); | |
677 | } | |
678 | ||
679 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
680 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 681 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
682 | { |
683 | SCM_BIGDIG *y; | |
684 | scm_sizet i = 0; | |
685 | long num = -1; | |
686 | if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T; | |
687 | if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T; | |
688 | y = SCM_BDIGITS(bigy); | |
689 | if (xsgn) | |
690 | do { | |
691 | num += x[i]; | |
692 | if (num < 0) { | |
693 | if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
694 | num = -1; | |
695 | } | |
696 | else { | |
697 | if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
698 | num = 0; | |
699 | } | |
700 | } while (++i < nx); | |
701 | else if SCM_BIGSIGN(bigy) | |
702 | do { | |
703 | num += y[i]; | |
704 | if (num < 0) { | |
705 | if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
706 | num = -1; | |
707 | } | |
708 | else { | |
709 | if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
710 | num = 0; | |
711 | } | |
712 | } while (++i < nx); | |
713 | else | |
714 | do if (x[i] & y[i]) return SCM_BOOL_T; | |
715 | while (++i < nx); | |
716 | return SCM_BOOL_F; | |
717 | } | |
718 | ||
719 | #endif | |
720 | ||
c3ee7520 | 721 | SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr, |
1bbd0b84 | 722 | (SCM n1, SCM n2), |
b380b885 MD |
723 | "Returns the integer which is the bit-wise AND of the two integer\n" |
724 | "arguments.\n\n" | |
725 | "Example:\n" | |
726 | "@lisp\n" | |
727 | "(number->string (logand #b1100 #b1010) 2)\n" | |
728 | " @result{} \"1000\"") | |
1bbd0b84 | 729 | #define FUNC_NAME s_scm_logand |
0f2d19dd | 730 | { |
f872b822 | 731 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
732 | { |
733 | if (SCM_UNBNDP (n1)) | |
734 | return SCM_MAKINUM (-1); | |
8a525303 | 735 | #ifndef SCM_RECKLESS |
f3ae5d60 MD |
736 | if (!(SCM_NUMBERP (n1))) |
737 | badx: SCM_WTA (SCM_ARG1, n1); | |
8a525303 | 738 | #endif |
d28da049 MD |
739 | return n1; |
740 | } | |
8a525303 GB |
741 | #ifdef SCM_BIGDIG |
742 | if SCM_NINUMP(n1) { | |
743 | SCM t; | |
744 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
745 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
746 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
747 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
748 | if ((SCM_BIGSIGN(n1)) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
749 | return scm_big_ior (SCM_BDIGITS(n1), |
750 | SCM_NUMDIGS(n1), | |
751 | SCM_BIGSIGNFLAG, | |
752 | n2); | |
753 | return scm_big_and (SCM_BDIGITS(n1), | |
754 | SCM_NUMDIGS(n1), | |
755 | SCM_BIGSIGN(n1), | |
756 | n2, | |
757 | 0); | |
8a525303 GB |
758 | } |
759 | if SCM_NINUMP(n2) { | |
760 | # ifndef SCM_RECKLESS | |
761 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
762 | bady: SCM_WTA (SCM_ARG2, n2); | |
763 | # endif | |
764 | intbig: { | |
765 | # ifndef SCM_DIGSTOOBIG | |
766 | long z = scm_pseudolong(SCM_INUM(n1)); | |
767 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
768 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); |
769 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
8a525303 GB |
770 | # else |
771 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
772 | scm_longdigs(SCM_INUM(n1), zdigs); | |
773 | if ((n1 < 0) && SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
774 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); |
775 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
8a525303 GB |
776 | # endif |
777 | }} | |
778 | #else | |
779 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
780 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
781 | #endif | |
782 | return SCM_MAKINUM(SCM_INUM(n1) & SCM_INUM(n2)); | |
0f2d19dd | 783 | } |
1bbd0b84 | 784 | #undef FUNC_NAME |
0f2d19dd | 785 | |
c3ee7520 | 786 | SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr, |
1bbd0b84 | 787 | (SCM n1, SCM n2), |
b380b885 MD |
788 | "Returns the integer which is the bit-wise OR of the two integer\n" |
789 | "arguments.\n\n" | |
790 | "Example:\n" | |
791 | "@lisp\n" | |
792 | "(number->string (logior #b1100 #b1010) 2)\n" | |
793 | " @result{} \"1110\"\n" | |
794 | "@end lisp") | |
1bbd0b84 | 795 | #define FUNC_NAME s_scm_logior |
0f2d19dd | 796 | { |
f872b822 | 797 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
798 | { |
799 | if (SCM_UNBNDP (n1)) | |
800 | return SCM_INUM0; | |
8a525303 GB |
801 | #ifndef SCM_RECKLESS |
802 | if (!(SCM_NUMBERP(n1))) | |
803 | badx: SCM_WTA(SCM_ARG1, n1); | |
804 | #endif | |
d28da049 MD |
805 | return n1; |
806 | } | |
8a525303 GB |
807 | #ifdef SCM_BIGDIG |
808 | if SCM_NINUMP(n1) { | |
809 | SCM t; | |
810 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
811 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
812 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
813 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
814 | if ((!SCM_BIGSIGN(n1)) && !SCM_BIGSIGN(n2)) | |
815 | return scm_big_ior(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
f3ae5d60 | 816 | return scm_big_and(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2, SCM_BIGSIGNFLAG); |
8a525303 GB |
817 | } |
818 | if SCM_NINUMP(n2) { | |
819 | # ifndef SCM_RECKLESS | |
820 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
821 | bady: SCM_WTA(SCM_ARG2, n2); | |
822 | # endif | |
823 | intbig: { | |
824 | # ifndef SCM_DIGSTOOBIG | |
825 | long z = scm_pseudolong(SCM_INUM(n1)); | |
826 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
827 | return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
828 | return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
8a525303 GB |
829 | # else |
830 | BIGDIG zdigs[DIGSPERLONG]; | |
831 | scm_longdigs(SCM_INUM(n1), zdigs); | |
832 | if ((!(n1 < 0)) && !SCM_BIGSIGN(n2)) | |
f3ae5d60 MD |
833 | return scm_big_ior(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
834 | return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
8a525303 GB |
835 | # endif |
836 | }} | |
837 | #else | |
838 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
839 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
840 | #endif | |
841 | return SCM_MAKINUM(SCM_INUM(n1) | SCM_INUM(n2)); | |
0f2d19dd | 842 | } |
1bbd0b84 | 843 | #undef FUNC_NAME |
0f2d19dd | 844 | |
c3ee7520 | 845 | SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr, |
1bbd0b84 | 846 | (SCM n1, SCM n2), |
b380b885 MD |
847 | "Returns the integer which is the bit-wise XOR of the two integer\n" |
848 | "arguments.\n\n" | |
849 | "Example:\n" | |
850 | "@lisp\n" | |
851 | "(number->string (logxor #b1100 #b1010) 2)\n" | |
852 | " @result{} \"110\"\n" | |
853 | "@end lisp") | |
1bbd0b84 | 854 | #define FUNC_NAME s_scm_logxor |
0f2d19dd | 855 | { |
f872b822 | 856 | if (SCM_UNBNDP (n2)) |
d28da049 MD |
857 | { |
858 | if (SCM_UNBNDP (n1)) | |
859 | return SCM_INUM0; | |
8a525303 GB |
860 | #ifndef SCM_RECKLESS |
861 | if (!(SCM_NUMBERP(n1))) | |
862 | badx: SCM_WTA(SCM_ARG1, n1); | |
863 | #endif | |
d28da049 MD |
864 | return n1; |
865 | } | |
8a525303 GB |
866 | #ifdef SCM_BIGDIG |
867 | if SCM_NINUMP(n1) { | |
868 | SCM t; | |
869 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
870 | if SCM_INUMP(n2) | |
871 | { | |
872 | t = n1; | |
873 | n1 = n2; | |
874 | n2 = t; | |
875 | goto intbig; | |
876 | } | |
877 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
878 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) | |
879 | { | |
880 | t = n1; | |
881 | n1 = n2; | |
882 | n2 = t; | |
883 | } | |
884 | return scm_big_xor(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
885 | } | |
886 | if SCM_NINUMP(n2) { | |
887 | # ifndef SCM_RECKLESS | |
888 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
889 | bady: SCM_WTA (SCM_ARG2, n2); | |
890 | # endif | |
891 | intbig: | |
892 | { | |
893 | # ifndef SCM_DIGSTOOBIG | |
894 | long z = scm_pseudolong(SCM_INUM(n1)); | |
f3ae5d60 | 895 | return scm_big_xor((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
896 | # else |
897 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
898 | scm_longdigs(SCM_INUM(n1), zdigs); | |
f3ae5d60 | 899 | return scm_big_xor(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
900 | # endif |
901 | } | |
902 | } | |
903 | #else | |
904 | SCM_ASRTGO(INUMP(n1), badx); | |
905 | SCM_ASSERT(INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
906 | #endif | |
907 | return SCM_MAKINUM(SCM_INUM(n1) ^ SCM_INUM(n2)); | |
0f2d19dd | 908 | } |
1bbd0b84 | 909 | #undef FUNC_NAME |
0f2d19dd | 910 | |
a1ec6916 | 911 | SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0, |
1bbd0b84 | 912 | (SCM n1, SCM n2), |
b380b885 MD |
913 | "@example\n" |
914 | "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n" | |
915 | "(logtest #b0100 #b1011) @result{} #f\n" | |
916 | "(logtest #b0100 #b0111) @result{} #t\n" | |
917 | "@end example") | |
1bbd0b84 | 918 | #define FUNC_NAME s_scm_logtest |
0f2d19dd | 919 | { |
8a525303 GB |
920 | #ifndef SCM_RECKLESS |
921 | if (!(SCM_NUMBERP(n1))) | |
922 | badx: SCM_WTA(SCM_ARG1, n1); | |
923 | #endif | |
924 | #ifdef SCM_BIGDIG | |
925 | if SCM_NINUMP(n1) { | |
926 | SCM t; | |
927 | SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx); | |
928 | if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;} | |
929 | SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady); | |
930 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;} | |
931 | return scm_big_test(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2); | |
932 | } | |
933 | if SCM_NINUMP(n2) { | |
934 | # ifndef SCM_RECKLESS | |
935 | if (!(SCM_NIMP(n2) && SCM_BIGP(n2))) | |
936 | bady: SCM_WTA(SCM_ARG2, n2); | |
937 | # endif | |
938 | intbig: { | |
939 | # ifndef SCM_DIGSTOOBIG | |
940 | long z = scm_pseudolong(SCM_INUM(n1)); | |
f3ae5d60 | 941 | return scm_big_test((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
942 | # else |
943 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
944 | scm_longdigs(SCM_INUM(n1), zdigs); | |
f3ae5d60 | 945 | return scm_big_test(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); |
8a525303 GB |
946 | # endif |
947 | }} | |
948 | #else | |
949 | SCM_ASRTGO(SCM_INUMP(n1), badx); | |
950 | SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME); | |
951 | #endif | |
952 | return (SCM_INUM(n1) & SCM_INUM(n2)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 953 | } |
1bbd0b84 | 954 | #undef FUNC_NAME |
0f2d19dd | 955 | |
c1bfcf60 | 956 | |
a1ec6916 | 957 | SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0, |
2cd04b42 | 958 | (SCM index, SCM j), |
b380b885 MD |
959 | "@example\n" |
960 | "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n" | |
961 | "(logbit? 0 #b1101) @result{} #t\n" | |
962 | "(logbit? 1 #b1101) @result{} #f\n" | |
963 | "(logbit? 2 #b1101) @result{} #t\n" | |
964 | "(logbit? 3 #b1101) @result{} #t\n" | |
965 | "(logbit? 4 #b1101) @result{} #f\n" | |
966 | "@end example") | |
1bbd0b84 | 967 | #define FUNC_NAME s_scm_logbit_p |
0f2d19dd | 968 | { |
8a525303 GB |
969 | SCM_ASSERT(SCM_INUMP(index) && SCM_INUM(index) >= 0, index, SCM_ARG1, FUNC_NAME); |
970 | #ifdef SCM_BIGDIG | |
971 | if SCM_NINUMP(j) { | |
972 | SCM_ASSERT(SCM_NIMP(j) && SCM_BIGP(j), j, SCM_ARG2, FUNC_NAME); | |
973 | if (SCM_NUMDIGS(j) * SCM_BITSPERDIG < SCM_INUM(index)) return SCM_BOOL_F; | |
974 | else if SCM_BIGSIGN(j) { | |
975 | long num = -1; | |
976 | scm_sizet i = 0; | |
977 | SCM_BIGDIG *x = SCM_BDIGITS(j); | |
978 | scm_sizet nx = SCM_INUM(index)/SCM_BITSPERDIG; | |
979 | while (!0) { | |
980 | num += x[i]; | |
981 | if (nx==i++) | |
982 | return ((1L << (SCM_INUM(index)%SCM_BITSPERDIG)) & num) ? SCM_BOOL_F : SCM_BOOL_T; | |
983 | if (num < 0) num = -1; | |
984 | else num = 0; | |
985 | } | |
986 | } | |
987 | else return (SCM_BDIGITS(j)[SCM_INUM(index)/SCM_BITSPERDIG] & | |
988 | (1L << (SCM_INUM(index)%SCM_BITSPERDIG))) ? SCM_BOOL_T : SCM_BOOL_F; | |
989 | } | |
990 | #else | |
991 | SCM_ASSERT(SCM_INUMP(j), j, SCM_ARG2, FUNC_NAME); | |
992 | #endif | |
993 | return ((1L << SCM_INUM(index)) & SCM_INUM(j)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 994 | } |
1bbd0b84 | 995 | #undef FUNC_NAME |
0f2d19dd | 996 | |
a1ec6916 | 997 | SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0, |
1bbd0b84 | 998 | (SCM n), |
b380b885 MD |
999 | "Returns the integer which is the 2s-complement of the integer argument.\n\n" |
1000 | "Example:\n" | |
1001 | "@lisp\n" | |
1002 | "(number->string (lognot #b10000000) 2)\n" | |
1003 | " @result{} \"-10000001\"\n" | |
1004 | "(number->string (lognot #b0) 2)\n" | |
1005 | " @result{} \"-1\"\n" | |
1006 | "@end lisp\n" | |
1007 | "") | |
1bbd0b84 | 1008 | #define FUNC_NAME s_scm_lognot |
0f2d19dd | 1009 | { |
f872b822 | 1010 | return scm_difference (SCM_MAKINUM (-1L), n); |
0f2d19dd | 1011 | } |
1bbd0b84 | 1012 | #undef FUNC_NAME |
0f2d19dd | 1013 | |
a1ec6916 | 1014 | SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0, |
2cd04b42 | 1015 | (SCM n, SCM k), |
b380b885 MD |
1016 | "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n" |
1017 | "Example:\n" | |
1018 | "@lisp\n" | |
1019 | "(integer-expt 2 5)\n" | |
1020 | " @result{} 32\n" | |
1021 | "(integer-expt -3 3)\n" | |
1022 | " @result{} -27\n" | |
1023 | "@end lisp") | |
1bbd0b84 | 1024 | #define FUNC_NAME s_scm_integer_expt |
0f2d19dd | 1025 | { |
f872b822 | 1026 | SCM acc = SCM_MAKINUM (1L); |
1bbd0b84 | 1027 | int i2; |
0f2d19dd | 1028 | #ifdef SCM_BIGDIG |
2cd04b42 GB |
1029 | if (SCM_INUM0 == n || acc == n) |
1030 | return n; | |
1031 | else if (SCM_MAKINUM (-1L) == n) | |
1032 | return SCM_BOOL_F == scm_even_p (k) ? n : acc; | |
0f2d19dd | 1033 | #endif |
2cd04b42 | 1034 | SCM_VALIDATE_ULONG_COPY (2,k,i2); |
1bbd0b84 | 1035 | if (i2 < 0) |
f872b822 | 1036 | { |
1bbd0b84 | 1037 | i2 = -i2; |
2cd04b42 | 1038 | n = scm_divide (n, SCM_UNDEFINED); |
f872b822 MD |
1039 | } |
1040 | while (1) | |
1041 | { | |
1bbd0b84 | 1042 | if (0 == i2) |
f872b822 | 1043 | return acc; |
1bbd0b84 | 1044 | if (1 == i2) |
2cd04b42 | 1045 | return scm_product (acc, n); |
1bbd0b84 | 1046 | if (i2 & 1) |
2cd04b42 GB |
1047 | acc = scm_product (acc, n); |
1048 | n = scm_product (n, n); | |
1bbd0b84 | 1049 | i2 >>= 1; |
f872b822 | 1050 | } |
0f2d19dd | 1051 | } |
1bbd0b84 | 1052 | #undef FUNC_NAME |
0f2d19dd | 1053 | |
a1ec6916 | 1054 | SCM_DEFINE (scm_ash, "ash", 2, 0, 0, |
1bbd0b84 | 1055 | (SCM n, SCM cnt), |
3ab9f56e DH |
1056 | "The function ash performs an arithmetic shift left by CNT bits\n" |
1057 | "(or shift right, if CNT is negative). 'Arithmetic' means, that\n" | |
1058 | "the function does not guarantee to keep the bit structure of N,\n" | |
1059 | "but rather guarantees that the result will always be rounded\n" | |
1060 | "towards minus infinity. Therefore, the results of ash and a\n" | |
1061 | "corresponding bitwise shift will differ if N is negative.\n\n" | |
1062 | "Formally, the function returns an integer equivalent to\n" | |
1063 | "@code{(inexact->exact (floor (* N (expt 2 CNT))))}.@refill\n\n" | |
b380b885 MD |
1064 | "Example:\n" |
1065 | "@lisp\n" | |
1066 | "(number->string (ash #b1 3) 2)\n" | |
a3c8b9fc MD |
1067 | " @result{} \"1000\"" |
1068 | "(number->string (ash #b1010 -1) 2)" | |
1069 | " @result{} \"101\"" | |
1070 | "@end lisp") | |
1bbd0b84 | 1071 | #define FUNC_NAME s_scm_ash |
0f2d19dd | 1072 | { |
3ab9f56e DH |
1073 | long bits_to_shift; |
1074 | ||
1075 | #ifndef SCM_BIGDIG | |
1076 | SCM_VALIDATE_INUM (1, n) | |
1077 | #endif | |
1078 | SCM_VALIDATE_INUM (2, cnt); | |
1079 | ||
1080 | bits_to_shift = SCM_INUM (cnt); | |
0f2d19dd | 1081 | #ifdef SCM_BIGDIG |
3ab9f56e DH |
1082 | if (bits_to_shift < 0) { |
1083 | /* Shift right by abs(cnt) bits. This is realized as a division by | |
1084 | div:=2^abs(cnt). However, to guarantee the floor rounding, negative | |
1085 | values require some special treatment. | |
1086 | */ | |
1087 | SCM div = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-bits_to_shift)); | |
1088 | if (SCM_FALSEP (scm_negative_p (n))) | |
1089 | return scm_quotient (n, div); | |
1090 | else | |
1091 | return scm_sum (SCM_MAKINUM (-1L), | |
1092 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), div)); | |
1093 | } else | |
1094 | /* Shift left is done by multiplication with 2^CNT */ | |
f872b822 | 1095 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); |
0f2d19dd | 1096 | #else |
3ab9f56e DH |
1097 | if (bits_to_shift < 0) |
1098 | /* Signed right shift (SCM_SRS does it right) by abs(cnt) bits. */ | |
1099 | return SCM_MAKINUM (SCM_SRS (SCM_INUM (n), -bits_to_shift)); | |
1100 | else { | |
1101 | /* Shift left, but make sure not to leave the range of inums */ | |
1102 | SCM res = SCM_MAKINUM (SCM_INUM (n) << cnt); | |
1103 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
1104 | scm_num_overflow (FUNC_NAME); | |
1105 | return res; | |
1106 | } | |
0f2d19dd JB |
1107 | #endif |
1108 | } | |
1bbd0b84 | 1109 | #undef FUNC_NAME |
0f2d19dd | 1110 | |
1bbd0b84 | 1111 | /* GJB:FIXME: do not use SCMs as integers! */ |
a1ec6916 | 1112 | SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0, |
1bbd0b84 | 1113 | (SCM n, SCM start, SCM end), |
b380b885 MD |
1114 | "Returns the integer composed of the @var{start} (inclusive) through\n" |
1115 | "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n" | |
1116 | "the 0-th bit in the result.@refill\n\n" | |
1117 | "Example:\n" | |
1118 | "@lisp\n" | |
1119 | "(number->string (bit-extract #b1101101010 0 4) 2)\n" | |
1120 | " @result{} \"1010\"\n" | |
1121 | "(number->string (bit-extract #b1101101010 4 9) 2)\n" | |
1122 | " @result{} \"10110\"\n" | |
1123 | "@end lisp") | |
1bbd0b84 | 1124 | #define FUNC_NAME s_scm_bit_extract |
0f2d19dd | 1125 | { |
c1bfcf60 | 1126 | int istart, iend; |
3b3b36dd | 1127 | SCM_VALIDATE_INUM (1,n); |
c1bfcf60 GB |
1128 | SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart); |
1129 | SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend); | |
1130 | SCM_ASSERT_RANGE (3, end, (iend >= istart)); | |
0f2d19dd | 1131 | #ifdef SCM_BIGDIG |
f872b822 | 1132 | if (SCM_NINUMP (n)) |
0f2d19dd | 1133 | return |
f872b822 | 1134 | scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2), |
c1bfcf60 | 1135 | SCM_MAKINUM (iend - istart)), |
f872b822 | 1136 | SCM_MAKINUM (1L)), |
c1bfcf60 | 1137 | scm_ash (n, SCM_MAKINUM (-istart))); |
0f2d19dd | 1138 | #else |
3b3b36dd | 1139 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1140 | #endif |
c1bfcf60 | 1141 | return SCM_MAKINUM ((SCM_INUM (n) >> istart) & ((1L << (iend - istart)) - 1)); |
0f2d19dd | 1142 | } |
1bbd0b84 | 1143 | #undef FUNC_NAME |
0f2d19dd | 1144 | |
e4755e5c JB |
1145 | static const char scm_logtab[] = { |
1146 | 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 | |
1147 | }; | |
1cc91f1b | 1148 | |
a1ec6916 | 1149 | SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0, |
1bbd0b84 | 1150 | (SCM n), |
b380b885 MD |
1151 | "Returns the number of bits in integer @var{n}. If integer is positive,\n" |
1152 | "the 1-bits in its binary representation are counted. If negative, the\n" | |
1153 | "0-bits in its two's-complement binary representation are counted. If 0,\n" | |
1154 | "0 is returned.\n\n" | |
1155 | "Example:\n" | |
1156 | "@lisp\n" | |
1157 | "(logcount #b10101010)\n" | |
1158 | " @result{} 4\n" | |
1159 | "(logcount 0)\n" | |
1160 | " @result{} 0\n" | |
1161 | "(logcount -2)\n" | |
1162 | " @result{} 1\n" | |
1163 | "@end lisp") | |
1bbd0b84 | 1164 | #define FUNC_NAME s_scm_logcount |
0f2d19dd JB |
1165 | { |
1166 | register unsigned long c = 0; | |
1167 | register long nn; | |
1168 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1169 | if (SCM_NINUMP (n)) |
1170 | { | |
1171 | scm_sizet i; | |
1172 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1173 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1174 | if (SCM_BIGSIGN (n)) |
1175 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
1176 | ds = SCM_BDIGITS (n); | |
1177 | for (i = SCM_NUMDIGS (n); i--;) | |
1178 | for (d = ds[i]; d; d >>= 4) | |
1179 | c += scm_logtab[15 & d]; | |
1180 | return SCM_MAKINUM (c); | |
1181 | } | |
0f2d19dd | 1182 | #else |
3b3b36dd | 1183 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1184 | #endif |
f872b822 MD |
1185 | if ((nn = SCM_INUM (n)) < 0) |
1186 | nn = -1 - nn; | |
1187 | for (; nn; nn >>= 4) | |
1188 | c += scm_logtab[15 & nn]; | |
1189 | return SCM_MAKINUM (c); | |
0f2d19dd | 1190 | } |
1bbd0b84 GB |
1191 | #undef FUNC_NAME |
1192 | ||
0f2d19dd | 1193 | |
e4755e5c JB |
1194 | static const char scm_ilentab[] = { |
1195 | 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 | |
1196 | }; | |
1cc91f1b | 1197 | |
a1ec6916 | 1198 | SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0, |
1bbd0b84 | 1199 | (SCM n), |
b380b885 MD |
1200 | "Returns the number of bits neccessary to represent @var{n}.\n\n" |
1201 | "Example:\n" | |
1202 | "@lisp\n" | |
1203 | "(integer-length #b10101010)\n" | |
1204 | " @result{} 8\n" | |
1205 | "(integer-length 0)\n" | |
1206 | " @result{} 0\n" | |
1207 | "(integer-length #b1111)\n" | |
1208 | " @result{} 4\n" | |
1209 | "@end lisp") | |
1bbd0b84 | 1210 | #define FUNC_NAME s_scm_integer_length |
0f2d19dd JB |
1211 | { |
1212 | register unsigned long c = 0; | |
1213 | register long nn; | |
1214 | unsigned int l = 4; | |
1215 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1216 | if (SCM_NINUMP (n)) |
1217 | { | |
1218 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1219 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1220 | if (SCM_BIGSIGN (n)) |
1221 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
1222 | ds = SCM_BDIGITS (n); | |
1223 | d = ds[c = SCM_NUMDIGS (n) - 1]; | |
1224 | for (c *= SCM_BITSPERDIG; d; d >>= 4) | |
1225 | { | |
1226 | c += 4; | |
1227 | l = scm_ilentab[15 & d]; | |
1228 | } | |
1229 | return SCM_MAKINUM (c - 4 + l); | |
1230 | } | |
0f2d19dd | 1231 | #else |
3b3b36dd | 1232 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1233 | #endif |
f872b822 MD |
1234 | if ((nn = SCM_INUM (n)) < 0) |
1235 | nn = -1 - nn; | |
1236 | for (; nn; nn >>= 4) | |
1237 | { | |
1238 | c += 4; | |
1239 | l = scm_ilentab[15 & nn]; | |
1240 | } | |
1241 | return SCM_MAKINUM (c - 4 + l); | |
0f2d19dd | 1242 | } |
1bbd0b84 | 1243 | #undef FUNC_NAME |
0f2d19dd JB |
1244 | |
1245 | ||
1246 | #ifdef SCM_BIGDIG | |
e4755e5c | 1247 | static const char s_bignum[] = "bignum"; |
1cc91f1b | 1248 | |
0f2d19dd | 1249 | SCM |
1bbd0b84 | 1250 | scm_mkbig (scm_sizet nlen, int sign) |
0f2d19dd | 1251 | { |
c209c88e GB |
1252 | SCM v; |
1253 | /* Cast to long int to avoid signed/unsigned comparison warnings. */ | |
f3ae5d60 MD |
1254 | if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) |
1255 | != (long int) nlen) | |
e4755e5c | 1256 | scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, s_bignum); |
c209c88e | 1257 | |
f872b822 | 1258 | SCM_NEWCELL (v); |
0f2d19dd | 1259 | SCM_DEFER_INTS; |
f872b822 | 1260 | SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)), |
e4755e5c | 1261 | s_bignum)); |
f3ae5d60 | 1262 | SCM_SETNUMDIGS (v, nlen, sign); |
0f2d19dd JB |
1263 | SCM_ALLOW_INTS; |
1264 | return v; | |
1265 | } | |
1266 | ||
1cc91f1b | 1267 | |
0f2d19dd | 1268 | SCM |
1bbd0b84 | 1269 | scm_big2inum (SCM b, scm_sizet l) |
0f2d19dd JB |
1270 | { |
1271 | unsigned long num = 0; | |
f872b822 MD |
1272 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
1273 | while (l--) | |
1274 | num = SCM_BIGUP (num) + tmp[l]; | |
f3ae5d60 | 1275 | if (!SCM_BIGSIGN (b)) |
f872b822 MD |
1276 | { |
1277 | if (SCM_POSFIXABLE (num)) | |
1278 | return SCM_MAKINUM (num); | |
1279 | } | |
1280 | else if (SCM_UNEGFIXABLE (num)) | |
1281 | return SCM_MAKINUM (-num); | |
0f2d19dd JB |
1282 | return b; |
1283 | } | |
1284 | ||
1285 | ||
e4755e5c | 1286 | static const char s_adjbig[] = "scm_adjbig"; |
1cc91f1b | 1287 | |
0f2d19dd | 1288 | SCM |
1bbd0b84 | 1289 | scm_adjbig (SCM b, scm_sizet nlen) |
0f2d19dd | 1290 | { |
2bf746cc | 1291 | scm_sizet nsiz = nlen; |
f3ae5d60 | 1292 | if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen) |
f872b822 | 1293 | scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig); |
2bf746cc | 1294 | |
0f2d19dd | 1295 | SCM_DEFER_INTS; |
2bf746cc JB |
1296 | { |
1297 | SCM_BIGDIG *digits | |
1298 | = ((SCM_BIGDIG *) | |
f872b822 MD |
1299 | scm_must_realloc ((char *) SCM_CHARS (b), |
1300 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), | |
1301 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_adjbig)); | |
2bf746cc JB |
1302 | |
1303 | SCM_SETCHARS (b, digits); | |
f3ae5d60 | 1304 | SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b)); |
2bf746cc | 1305 | } |
0f2d19dd JB |
1306 | SCM_ALLOW_INTS; |
1307 | return b; | |
1308 | } | |
1309 | ||
1310 | ||
1cc91f1b | 1311 | |
0f2d19dd | 1312 | SCM |
1bbd0b84 | 1313 | scm_normbig (SCM b) |
0f2d19dd | 1314 | { |
f872b822 MD |
1315 | #ifndef _UNICOS |
1316 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 1317 | #else |
f872b822 | 1318 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 1319 | #endif |
f872b822 MD |
1320 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
1321 | while (nlen-- && !zds[nlen]); | |
1322 | nlen++; | |
1323 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
1324 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
1325 | return b; | |
1326 | if (SCM_NUMDIGS (b) == nlen) | |
1327 | return b; | |
1328 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
1329 | } |
1330 | ||
1331 | ||
1cc91f1b | 1332 | |
0f2d19dd | 1333 | SCM |
1bbd0b84 | 1334 | scm_copybig (SCM b, int sign) |
0f2d19dd | 1335 | { |
f872b822 MD |
1336 | scm_sizet i = SCM_NUMDIGS (b); |
1337 | SCM ans = scm_mkbig (i, sign); | |
1338 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
1339 | while (i--) | |
1340 | dst[i] = src[i]; | |
0f2d19dd JB |
1341 | return ans; |
1342 | } | |
1343 | ||
1344 | ||
1cc91f1b | 1345 | |
0f2d19dd | 1346 | SCM |
1bbd0b84 | 1347 | scm_long2big (long n) |
0f2d19dd JB |
1348 | { |
1349 | scm_sizet i = 0; | |
1350 | SCM_BIGDIG *digits; | |
f872b822 MD |
1351 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
1352 | digits = SCM_BDIGITS (ans); | |
1353 | if (n < 0) | |
1354 | n = -n; | |
1355 | while (i < SCM_DIGSPERLONG) | |
1356 | { | |
1357 | digits[i++] = SCM_BIGLO (n); | |
1358 | n = SCM_BIGDN ((unsigned long) n); | |
1359 | } | |
0f2d19dd JB |
1360 | return ans; |
1361 | } | |
1362 | ||
5c11cc9d | 1363 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 1364 | |
0f2d19dd | 1365 | SCM |
1bbd0b84 | 1366 | scm_long_long2big (long_long n) |
0f2d19dd JB |
1367 | { |
1368 | scm_sizet i; | |
1369 | SCM_BIGDIG *digits; | |
1370 | SCM ans; | |
1371 | int n_digits; | |
1372 | ||
1373 | { | |
1374 | long tn; | |
1375 | tn = (long) n; | |
f872b822 | 1376 | if ((long long) tn == n) |
0f2d19dd JB |
1377 | return scm_long2big (tn); |
1378 | } | |
1379 | ||
1380 | { | |
1381 | long_long tn; | |
1382 | ||
1383 | for (tn = n, n_digits = 0; | |
1384 | tn; | |
f872b822 | 1385 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
1386 | ; |
1387 | } | |
1388 | ||
1389 | i = 0; | |
f872b822 MD |
1390 | ans = scm_mkbig (n_digits, n < 0); |
1391 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1392 | if (n < 0) |
1393 | n = -n; | |
f872b822 MD |
1394 | while (i < n_digits) |
1395 | { | |
1396 | digits[i++] = SCM_BIGLO (n); | |
1397 | n = SCM_BIGDN ((ulong_long) n); | |
1398 | } | |
0f2d19dd JB |
1399 | return ans; |
1400 | } | |
1401 | #endif | |
1402 | ||
1cc91f1b | 1403 | |
0f2d19dd | 1404 | SCM |
1bbd0b84 | 1405 | scm_2ulong2big (unsigned long *np) |
0f2d19dd JB |
1406 | { |
1407 | unsigned long n; | |
1408 | scm_sizet i; | |
1409 | SCM_BIGDIG *digits; | |
1410 | SCM ans; | |
1411 | ||
f872b822 MD |
1412 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1413 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1414 | |
1415 | n = np[0]; | |
1416 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1417 | { | |
f872b822 MD |
1418 | digits[i] = SCM_BIGLO (n); |
1419 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1420 | } |
1421 | n = np[1]; | |
1422 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1423 | { | |
f872b822 MD |
1424 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1425 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1426 | } |
1427 | return ans; | |
1428 | } | |
1429 | ||
1430 | ||
1cc91f1b | 1431 | |
0f2d19dd | 1432 | SCM |
1bbd0b84 | 1433 | scm_ulong2big (unsigned long n) |
0f2d19dd JB |
1434 | { |
1435 | scm_sizet i = 0; | |
1436 | SCM_BIGDIG *digits; | |
f872b822 MD |
1437 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1438 | digits = SCM_BDIGITS (ans); | |
1439 | while (i < SCM_DIGSPERLONG) | |
1440 | { | |
1441 | digits[i++] = SCM_BIGLO (n); | |
1442 | n = SCM_BIGDN (n); | |
1443 | } | |
0f2d19dd JB |
1444 | return ans; |
1445 | } | |
1446 | ||
1447 | ||
1cc91f1b | 1448 | |
0f2d19dd | 1449 | int |
1bbd0b84 | 1450 | scm_bigcomp (SCM x, SCM y) |
0f2d19dd | 1451 | { |
f872b822 MD |
1452 | int xsign = SCM_BIGSIGN (x); |
1453 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1454 | scm_sizet xlen, ylen; |
2bf746cc JB |
1455 | |
1456 | /* Look at the signs, first. */ | |
f872b822 MD |
1457 | if (ysign < xsign) |
1458 | return 1; | |
1459 | if (ysign > xsign) | |
1460 | return -1; | |
2bf746cc JB |
1461 | |
1462 | /* They're the same sign, so see which one has more digits. Note | |
1463 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1464 | ylen = SCM_NUMDIGS (y); |
1465 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1466 | if (ylen > xlen) |
1467 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1468 | if (ylen < xlen) |
1469 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1470 | |
1471 | /* They have the same number of digits, so find the most significant | |
1472 | digit where they differ. */ | |
1473 | while (xlen) | |
1474 | { | |
1475 | --xlen; | |
1476 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1477 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1478 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1479 | ? (xsign ? -1 : 1) | |
1480 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1481 | } |
1482 | ||
1483 | /* The numbers are identical. */ | |
1484 | return 0; | |
0f2d19dd JB |
1485 | } |
1486 | ||
1487 | #ifndef SCM_DIGSTOOBIG | |
1488 | ||
1cc91f1b | 1489 | |
0f2d19dd | 1490 | long |
1bbd0b84 | 1491 | scm_pseudolong (long x) |
0f2d19dd | 1492 | { |
f872b822 MD |
1493 | union |
1494 | { | |
0f2d19dd JB |
1495 | long l; |
1496 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1497 | } |
1498 | p; | |
0f2d19dd | 1499 | scm_sizet i = 0; |
f872b822 MD |
1500 | if (x < 0) |
1501 | x = -x; | |
1502 | while (i < SCM_DIGSPERLONG) | |
1503 | { | |
1504 | p.bd[i++] = SCM_BIGLO (x); | |
1505 | x = SCM_BIGDN (x); | |
1506 | } | |
0f2d19dd JB |
1507 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1508 | return p.l; | |
1509 | } | |
1510 | ||
1511 | #else | |
1512 | ||
1cc91f1b | 1513 | |
0f2d19dd | 1514 | void |
1bbd0b84 | 1515 | scm_longdigs (long x, SCM_BIGDIG digs[]) |
0f2d19dd JB |
1516 | { |
1517 | scm_sizet i = 0; | |
f872b822 MD |
1518 | if (x < 0) |
1519 | x = -x; | |
1520 | while (i < SCM_DIGSPERLONG) | |
1521 | { | |
1522 | digs[i++] = SCM_BIGLO (x); | |
1523 | x = SCM_BIGDN (x); | |
1524 | } | |
0f2d19dd JB |
1525 | } |
1526 | #endif | |
1527 | ||
1528 | ||
1cc91f1b | 1529 | |
0f2d19dd | 1530 | SCM |
1bbd0b84 | 1531 | scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) |
0f2d19dd JB |
1532 | { |
1533 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 1534 | /* Assumes xsgn and sgny scm_equal either 0 or SCM_BIGSIGNFLAG */ |
0f2d19dd | 1535 | long num = 0; |
f872b822 MD |
1536 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1537 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1538 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1539 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1540 | { | |
1541 | do | |
1542 | { | |
1543 | num += (long) zds[i] - x[i]; | |
1544 | if (num < 0) | |
1545 | { | |
1546 | zds[i] = num + SCM_BIGRAD; | |
1547 | num = -1; | |
1548 | } | |
1549 | else | |
1550 | { | |
1551 | zds[i] = SCM_BIGLO (num); | |
1552 | num = 0; | |
1553 | } | |
1554 | } | |
1555 | while (++i < nx); | |
1556 | if (num && nx == ny) | |
1557 | { | |
1558 | num = 1; | |
1559 | i = 0; | |
f3ae5d60 | 1560 | SCM_SETCAR (z, SCM_UNPACK_CAR (z) ^ SCM_BIGSIGNFLAG); |
f872b822 MD |
1561 | do |
1562 | { | |
1563 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1564 | zds[i++] = SCM_BIGLO (num); | |
1565 | num = SCM_BIGDN (num); | |
1566 | } | |
1567 | while (i < ny); | |
1568 | } | |
1569 | else | |
1570 | while (i < ny) | |
1571 | { | |
1572 | num += zds[i]; | |
1573 | if (num < 0) | |
1574 | { | |
1575 | zds[i++] = num + SCM_BIGRAD; | |
1576 | num = -1; | |
1577 | } | |
1578 | else | |
1579 | { | |
1580 | zds[i++] = SCM_BIGLO (num); | |
1581 | num = 0; | |
1582 | } | |
1583 | } | |
1584 | } | |
1585 | else | |
1586 | { | |
1587 | do | |
1588 | { | |
1589 | num += (long) zds[i] + x[i]; | |
1590 | zds[i++] = SCM_BIGLO (num); | |
1591 | num = SCM_BIGDN (num); | |
1592 | } | |
1593 | while (i < nx); | |
1594 | if (!num) | |
1595 | return z; | |
1596 | while (i < ny) | |
1597 | { | |
1598 | num += zds[i]; | |
1599 | zds[i++] = SCM_BIGLO (num); | |
1600 | num = SCM_BIGDN (num); | |
1601 | if (!num) | |
1602 | return z; | |
1603 | } | |
1604 | if (num) | |
1605 | { | |
1606 | z = scm_adjbig (z, ny + 1); | |
1607 | SCM_BDIGITS (z)[ny] = num; | |
1608 | return z; | |
1609 | } | |
1610 | } | |
1611 | return scm_normbig (z); | |
0f2d19dd JB |
1612 | } |
1613 | ||
1cc91f1b | 1614 | |
0f2d19dd | 1615 | SCM |
1bbd0b84 | 1616 | scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) |
0f2d19dd JB |
1617 | { |
1618 | scm_sizet i = 0, j = nx + ny; | |
1619 | unsigned long n = 0; | |
f872b822 MD |
1620 | SCM z = scm_mkbig (j, sgn); |
1621 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1622 | while (j--) | |
1623 | zds[j] = 0; | |
1624 | do | |
1625 | { | |
1626 | j = 0; | |
1627 | if (x[i]) | |
1628 | { | |
1629 | do | |
1630 | { | |
1631 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1632 | zds[i + j++] = SCM_BIGLO (n); | |
1633 | n = SCM_BIGDN (n); | |
1634 | } | |
1635 | while (j < ny); | |
1636 | if (n) | |
1637 | { | |
1638 | zds[i + j] = n; | |
1639 | n = 0; | |
1640 | } | |
1641 | } | |
0f2d19dd | 1642 | } |
f872b822 MD |
1643 | while (++i < nx); |
1644 | return scm_normbig (z); | |
0f2d19dd JB |
1645 | } |
1646 | ||
1cc91f1b | 1647 | |
805df3e8 JB |
1648 | /* Sun's compiler complains about the fact that this function has an |
1649 | ANSI prototype in numbers.h, but a K&R declaration here, and the | |
1650 | two specify different promotions for the third argument. I'm going | |
1651 | to turn this into an ANSI declaration, and see if anyone complains | |
1652 | about it not being K&R. */ | |
1653 | ||
0f2d19dd | 1654 | unsigned int |
f872b822 MD |
1655 | scm_divbigdig (SCM_BIGDIG * ds, |
1656 | scm_sizet h, | |
1657 | SCM_BIGDIG div) | |
0f2d19dd JB |
1658 | { |
1659 | register unsigned long t2 = 0; | |
f872b822 MD |
1660 | while (h--) |
1661 | { | |
1662 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1663 | ds[h] = t2 / div; | |
1664 | t2 %= div; | |
1665 | } | |
0f2d19dd JB |
1666 | return t2; |
1667 | } | |
1668 | ||
1669 | ||
1cc91f1b | 1670 | |
0f2d19dd | 1671 | SCM |
1bbd0b84 | 1672 | scm_divbigint (SCM x, long z, int sgn, int mode) |
0f2d19dd | 1673 | { |
f872b822 MD |
1674 | if (z < 0) |
1675 | z = -z; | |
1676 | if (z < SCM_BIGRAD) | |
1677 | { | |
1678 | register unsigned long t2 = 0; | |
1679 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1680 | scm_sizet nd = SCM_NUMDIGS (x); | |
1681 | while (nd--) | |
1682 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1683 | if (mode && t2) | |
1684 | t2 = z - t2; | |
1685 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1686 | } | |
0f2d19dd JB |
1687 | { |
1688 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1689 | unsigned long t2 = scm_pseudolong (z); |
1690 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1691 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1692 | sgn, mode); | |
0f2d19dd JB |
1693 | #else |
1694 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1695 | scm_longdigs (z, t2); |
1696 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1697 | t2, SCM_DIGSPERLONG, | |
1698 | sgn, mode); | |
0f2d19dd JB |
1699 | #endif |
1700 | } | |
1701 | } | |
1702 | ||
1cc91f1b | 1703 | |
0f2d19dd | 1704 | SCM |
1bbd0b84 | 1705 | scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) |
0f2d19dd JB |
1706 | { |
1707 | /* modes description | |
f872b822 MD |
1708 | 0 remainder |
1709 | 1 scm_modulo | |
1710 | 2 quotient | |
1711 | 3 quotient but returns 0 if division is not exact. */ | |
0f2d19dd JB |
1712 | scm_sizet i = 0, j = 0; |
1713 | long num = 0; | |
1714 | unsigned long t2 = 0; | |
1715 | SCM z, newy; | |
f872b822 | 1716 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1717 | /* algorithm requires nx >= ny */ |
1718 | if (nx < ny) | |
f872b822 MD |
1719 | switch (modes) |
1720 | { | |
1721 | case 0: /* remainder -- just return x */ | |
1722 | z = scm_mkbig (nx, sgn); | |
1723 | zds = SCM_BDIGITS (z); | |
1724 | do | |
1725 | { | |
1726 | zds[i] = x[i]; | |
1727 | } | |
1728 | while (++i < nx); | |
1729 | return z; | |
1730 | case 1: /* scm_modulo -- return y-x */ | |
1731 | z = scm_mkbig (ny, sgn); | |
1732 | zds = SCM_BDIGITS (z); | |
1733 | do | |
1734 | { | |
1735 | num += (long) y[i] - x[i]; | |
1736 | if (num < 0) | |
1737 | { | |
1738 | zds[i] = num + SCM_BIGRAD; | |
1739 | num = -1; | |
1740 | } | |
1741 | else | |
1742 | { | |
1743 | zds[i] = num; | |
1744 | num = 0; | |
1745 | } | |
1746 | } | |
1747 | while (++i < nx); | |
1748 | while (i < ny) | |
1749 | { | |
1750 | num += y[i]; | |
1751 | if (num < 0) | |
1752 | { | |
1753 | zds[i++] = num + SCM_BIGRAD; | |
1754 | num = -1; | |
1755 | } | |
1756 | else | |
1757 | { | |
1758 | zds[i++] = num; | |
1759 | num = 0; | |
1760 | } | |
1761 | } | |
1762 | goto doadj; | |
1763 | case 2: | |
1764 | return SCM_INUM0; /* quotient is zero */ | |
1765 | case 3: | |
1766 | return 0; /* the division is not exact */ | |
0f2d19dd | 1767 | } |
f872b822 MD |
1768 | |
1769 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1770 | zds = SCM_BDIGITS (z); | |
1771 | if (nx == ny) | |
1772 | zds[nx + 1] = 0; | |
1773 | while (!y[ny - 1]) | |
1774 | ny--; /* in case y came in as a psuedolong */ | |
1775 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1776 | { /* normalize operands */ | |
1777 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1778 | newy = scm_mkbig (ny, 0); | |
1779 | yds = SCM_BDIGITS (newy); | |
1780 | while (j < ny) | |
1781 | { | |
1782 | t2 += (unsigned long) y[j] * d; | |
1783 | yds[j++] = SCM_BIGLO (t2); | |
1784 | t2 = SCM_BIGDN (t2); | |
1785 | } | |
1786 | y = yds; | |
1787 | j = 0; | |
1788 | t2 = 0; | |
1789 | while (j < nx) | |
1790 | { | |
1791 | t2 += (unsigned long) x[j] * d; | |
1792 | zds[j++] = SCM_BIGLO (t2); | |
1793 | t2 = SCM_BIGDN (t2); | |
1794 | } | |
1795 | zds[j] = t2; | |
1796 | } | |
1797 | else | |
1798 | { | |
1799 | zds[j = nx] = 0; | |
1800 | while (j--) | |
1801 | zds[j] = x[j]; | |
1802 | } | |
1803 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1804 | do | |
1805 | { /* loop over digits of quotient */ | |
1806 | if (zds[j] == y[ny - 1]) | |
1807 | qhat = SCM_BIGRAD - 1; | |
1808 | else | |
1809 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1810 | if (!qhat) | |
1811 | continue; | |
1812 | i = 0; | |
1813 | num = 0; | |
1814 | t2 = 0; | |
1815 | do | |
1816 | { /* multiply and subtract */ | |
1817 | t2 += (unsigned long) y[i] * qhat; | |
1818 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1819 | if (num < 0) | |
1820 | { | |
1821 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1822 | num = -1; | |
1823 | } | |
1824 | else | |
1825 | { | |
1826 | zds[j - ny + i] = num; | |
1827 | num = 0; | |
1828 | } | |
1829 | t2 = SCM_BIGDN (t2); | |
1830 | } | |
1831 | while (++i < ny); | |
1832 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1833 | while (num) | |
1834 | { /* "add back" required */ | |
1835 | i = 0; | |
1836 | num = 0; | |
1837 | qhat--; | |
1838 | do | |
1839 | { | |
1840 | num += (long) zds[j - ny + i] + y[i]; | |
1841 | zds[j - ny + i] = SCM_BIGLO (num); | |
1842 | num = SCM_BIGDN (num); | |
1843 | } | |
1844 | while (++i < ny); | |
1845 | num--; | |
1846 | } | |
1847 | if (modes & 2) | |
1848 | zds[j] = qhat; | |
1849 | } | |
1850 | while (--j >= ny); | |
1851 | switch (modes) | |
1852 | { | |
1853 | case 3: /* check that remainder==0 */ | |
1854 | for (j = ny; j && !zds[j - 1]; --j); | |
1855 | if (j) | |
1856 | return 0; | |
1857 | case 2: /* move quotient down in z */ | |
1858 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1859 | for (i = 0; i < j; i++) | |
1860 | zds[i] = zds[i + ny]; | |
1861 | ny = i; | |
1862 | break; | |
1863 | case 1: /* subtract for scm_modulo */ | |
1864 | i = 0; | |
1865 | num = 0; | |
1866 | j = 0; | |
1867 | do | |
1868 | { | |
1869 | num += y[i] - zds[i]; | |
1870 | j = j | zds[i]; | |
1871 | if (num < 0) | |
1872 | { | |
1873 | zds[i] = num + SCM_BIGRAD; | |
1874 | num = -1; | |
1875 | } | |
1876 | else | |
1877 | { | |
1878 | zds[i] = num; | |
1879 | num = 0; | |
1880 | } | |
1881 | } | |
1882 | while (++i < ny); | |
1883 | if (!j) | |
1884 | return SCM_INUM0; | |
1885 | case 0: /* just normalize remainder */ | |
1886 | if (d) | |
1887 | scm_divbigdig (zds, ny, d); | |
1888 | } | |
0f2d19dd | 1889 | doadj: |
f872b822 MD |
1890 | for (j = ny; j && !zds[j - 1]; --j); |
1891 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1892 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
1893 | return z; | |
1894 | return scm_adjbig (z, j); | |
0f2d19dd JB |
1895 | } |
1896 | #endif | |
f872b822 | 1897 | \f |
0f2d19dd JB |
1898 | |
1899 | ||
1900 | ||
0f2d19dd JB |
1901 | |
1902 | /*** NUMBERS -> STRINGS ***/ | |
0f2d19dd | 1903 | int scm_dblprec; |
e4755e5c | 1904 | static const double fx[] = |
f872b822 MD |
1905 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, |
1906 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
1907 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
1908 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
1909 | |
1910 | ||
1911 | ||
1cc91f1b | 1912 | |
0f2d19dd | 1913 | static scm_sizet |
1bbd0b84 | 1914 | idbl2str (double f, char *a) |
0f2d19dd JB |
1915 | { |
1916 | int efmt, dpt, d, i, wp = scm_dblprec; | |
1917 | scm_sizet ch = 0; | |
1918 | int exp = 0; | |
1919 | ||
f872b822 MD |
1920 | if (f == 0.0) |
1921 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
1922 | if (f < 0.0) | |
1923 | { | |
1924 | f = -f; | |
1925 | a[ch++] = '-'; | |
1926 | } | |
1927 | else if (f > 0.0); | |
1928 | else | |
1929 | goto funny; | |
1930 | if (IS_INF (f)) | |
1931 | { | |
1932 | if (ch == 0) | |
1933 | a[ch++] = '+'; | |
1934 | funny: | |
1935 | a[ch++] = '#'; | |
1936 | a[ch++] = '.'; | |
1937 | a[ch++] = '#'; | |
1938 | return ch; | |
1939 | } | |
1940 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
1941 | make-uniform-vector, from causing infinite loops. */ | |
1942 | while (f < 1.0) | |
1943 | { | |
1944 | f *= 10.0; | |
1945 | if (exp-- < DBL_MIN_10_EXP) | |
1946 | goto funny; | |
1947 | } | |
1948 | while (f > 10.0) | |
1949 | { | |
1950 | f *= 0.10; | |
1951 | if (exp++ > DBL_MAX_10_EXP) | |
1952 | goto funny; | |
1953 | } | |
1954 | #else | |
1955 | while (f < 1.0) | |
1956 | { | |
1957 | f *= 10.0; | |
1958 | exp--; | |
1959 | } | |
1960 | while (f > 10.0) | |
1961 | { | |
1962 | f /= 10.0; | |
1963 | exp++; | |
1964 | } | |
1965 | #endif | |
1966 | if (f + fx[wp] >= 10.0) | |
1967 | { | |
1968 | f = 1.0; | |
1969 | exp++; | |
1970 | } | |
0f2d19dd | 1971 | zero: |
f872b822 MD |
1972 | #ifdef ENGNOT |
1973 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
1974 | exp -= dpt++; |
1975 | efmt = 1; | |
f872b822 MD |
1976 | #else |
1977 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 1978 | if (!efmt) |
cda139a7 MD |
1979 | { |
1980 | if (exp < 0) | |
1981 | { | |
1982 | a[ch++] = '0'; | |
1983 | a[ch++] = '.'; | |
1984 | dpt = exp; | |
f872b822 MD |
1985 | while (++dpt) |
1986 | a[ch++] = '0'; | |
cda139a7 MD |
1987 | } |
1988 | else | |
f872b822 | 1989 | dpt = exp + 1; |
cda139a7 | 1990 | } |
0f2d19dd JB |
1991 | else |
1992 | dpt = 1; | |
f872b822 MD |
1993 | #endif |
1994 | ||
1995 | do | |
1996 | { | |
1997 | d = f; | |
1998 | f -= d; | |
1999 | a[ch++] = d + '0'; | |
2000 | if (f < fx[wp]) | |
2001 | break; | |
2002 | if (f + fx[wp] >= 1.0) | |
2003 | { | |
2004 | a[ch - 1]++; | |
2005 | break; | |
2006 | } | |
2007 | f *= 10.0; | |
2008 | if (!(--dpt)) | |
2009 | a[ch++] = '.'; | |
0f2d19dd | 2010 | } |
f872b822 | 2011 | while (wp--); |
0f2d19dd JB |
2012 | |
2013 | if (dpt > 0) | |
cda139a7 | 2014 | { |
f872b822 | 2015 | #ifndef ENGNOT |
cda139a7 MD |
2016 | if ((dpt > 4) && (exp > 6)) |
2017 | { | |
f872b822 | 2018 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 2019 | for (i = ch++; i > d; i--) |
f872b822 | 2020 | a[i] = a[i - 1]; |
cda139a7 MD |
2021 | a[d] = '.'; |
2022 | efmt = 1; | |
2023 | } | |
2024 | else | |
f872b822 | 2025 | #endif |
cda139a7 | 2026 | { |
f872b822 MD |
2027 | while (--dpt) |
2028 | a[ch++] = '0'; | |
cda139a7 MD |
2029 | a[ch++] = '.'; |
2030 | } | |
2031 | } | |
f872b822 MD |
2032 | if (a[ch - 1] == '.') |
2033 | a[ch++] = '0'; /* trailing zero */ | |
2034 | if (efmt && exp) | |
2035 | { | |
2036 | a[ch++] = 'e'; | |
2037 | if (exp < 0) | |
2038 | { | |
2039 | exp = -exp; | |
2040 | a[ch++] = '-'; | |
2041 | } | |
2042 | for (i = 10; i <= exp; i *= 10); | |
2043 | for (i /= 10; i; i /= 10) | |
2044 | { | |
2045 | a[ch++] = exp / i + '0'; | |
2046 | exp %= i; | |
2047 | } | |
0f2d19dd | 2048 | } |
0f2d19dd JB |
2049 | return ch; |
2050 | } | |
2051 | ||
1cc91f1b | 2052 | |
0f2d19dd | 2053 | static scm_sizet |
1bbd0b84 | 2054 | iflo2str (SCM flt, char *str) |
0f2d19dd JB |
2055 | { |
2056 | scm_sizet i; | |
f3ae5d60 MD |
2057 | if (SCM_SLOPPY_REALP (flt)) |
2058 | i = idbl2str (SCM_REAL_VALUE (flt), str); | |
0f2d19dd | 2059 | else |
f872b822 | 2060 | { |
f3ae5d60 MD |
2061 | i = idbl2str (SCM_COMPLEX_REAL (flt), str); |
2062 | if (SCM_COMPLEX_IMAG (flt) != 0.0) | |
2063 | { | |
2064 | if (0 <= SCM_COMPLEX_IMAG (flt)) | |
2065 | str[i++] = '+'; | |
2066 | i += idbl2str (SCM_COMPLEX_IMAG (flt), &str[i]); | |
2067 | str[i++] = 'i'; | |
2068 | } | |
f872b822 | 2069 | } |
0f2d19dd JB |
2070 | return i; |
2071 | } | |
0f2d19dd | 2072 | |
5c11cc9d | 2073 | /* convert a long to a string (unterminated). returns the number of |
1bbd0b84 GB |
2074 | characters in the result. |
2075 | rad is output base | |
2076 | p is destination: worst case (base 2) is SCM_INTBUFLEN */ | |
0f2d19dd | 2077 | scm_sizet |
1bbd0b84 | 2078 | scm_iint2str (long num, int rad, char *p) |
0f2d19dd | 2079 | { |
5c11cc9d GH |
2080 | scm_sizet j = 1; |
2081 | scm_sizet i; | |
2082 | unsigned long n = (num < 0) ? -num : num; | |
2083 | ||
f872b822 | 2084 | for (n /= rad; n > 0; n /= rad) |
5c11cc9d GH |
2085 | j++; |
2086 | ||
2087 | i = j; | |
2088 | if (num < 0) | |
f872b822 | 2089 | { |
f872b822 | 2090 | *p++ = '-'; |
5c11cc9d GH |
2091 | j++; |
2092 | n = -num; | |
f872b822 | 2093 | } |
5c11cc9d GH |
2094 | else |
2095 | n = num; | |
f872b822 MD |
2096 | while (i--) |
2097 | { | |
5c11cc9d GH |
2098 | int d = n % rad; |
2099 | ||
f872b822 MD |
2100 | n /= rad; |
2101 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
2102 | } | |
0f2d19dd JB |
2103 | return j; |
2104 | } | |
2105 | ||
2106 | ||
2107 | #ifdef SCM_BIGDIG | |
1cc91f1b | 2108 | |
0f2d19dd | 2109 | static SCM |
1bbd0b84 | 2110 | big2str (SCM b, unsigned int radix) |
0f2d19dd | 2111 | { |
f872b822 MD |
2112 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
2113 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
2114 | scm_sizet i = SCM_NUMDIGS (t); | |
2115 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
2116 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
2117 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
2118 | scm_sizet k = 0; |
2119 | scm_sizet radct = 0; | |
2120 | scm_sizet ch; /* jeh */ | |
2121 | SCM_BIGDIG radpow = 1, radmod = 0; | |
f872b822 MD |
2122 | SCM ss = scm_makstr ((long) j, 0); |
2123 | char *s = SCM_CHARS (ss), c; | |
2124 | while ((long) radpow * radix < SCM_BIGRAD) | |
2125 | { | |
2126 | radpow *= radix; | |
2127 | radct++; | |
2128 | } | |
f3ae5d60 | 2129 | s[0] = SCM_BIGSIGN (b) ? '-' : '+'; |
f872b822 MD |
2130 | while ((i || radmod) && j) |
2131 | { | |
2132 | if (k == 0) | |
2133 | { | |
2134 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
2135 | k = radct; | |
2136 | if (!ds[i - 1]) | |
2137 | i--; | |
2138 | } | |
2139 | c = radmod % radix; | |
2140 | radmod /= radix; | |
2141 | k--; | |
2142 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
2143 | } | |
0f2d19dd | 2144 | ch = s[0] == '-' ? 1 : 0; /* jeh */ |
f872b822 MD |
2145 | if (ch < j) |
2146 | { /* jeh */ | |
2147 | for (i = j; j < SCM_LENGTH (ss); j++) | |
2148 | s[ch + j - i] = s[j]; /* jeh */ | |
2149 | scm_vector_set_length_x (ss, /* jeh */ | |
2150 | (SCM) SCM_MAKINUM (ch + SCM_LENGTH (ss) - i)); | |
2151 | } | |
b098016b JB |
2152 | |
2153 | return scm_return_first (ss, t); | |
0f2d19dd JB |
2154 | } |
2155 | #endif | |
2156 | ||
2157 | ||
a1ec6916 | 2158 | SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0, |
1bbd0b84 | 2159 | (SCM x, SCM radix), |
b380b885 | 2160 | "") |
1bbd0b84 | 2161 | #define FUNC_NAME s_scm_number_to_string |
0f2d19dd | 2162 | { |
1bbd0b84 | 2163 | int base; |
3b3b36dd | 2164 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); |
f872b822 MD |
2165 | if (SCM_NINUMP (x)) |
2166 | { | |
2167 | char num_buf[SCM_FLOBUFLEN]; | |
2168 | #ifdef SCM_BIGDIG | |
2169 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
2170 | if (SCM_BIGP (x)) | |
1bbd0b84 | 2171 | return big2str (x, (unsigned int) base); |
f872b822 | 2172 | #ifndef SCM_RECKLESS |
f3ae5d60 | 2173 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 MD |
2174 | { |
2175 | badx: | |
4638e087 | 2176 | SCM_WTA (1, x); |
f872b822 MD |
2177 | } |
2178 | #endif | |
0f2d19dd | 2179 | #else |
f3ae5d60 | 2180 | SCM_ASSERT (SCM_SLOPPY_INEXACTP (x), |
f872b822 | 2181 | x, SCM_ARG1, s_number_to_string); |
0f2d19dd | 2182 | #endif |
f872b822 MD |
2183 | return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0); |
2184 | } | |
f872b822 MD |
2185 | { |
2186 | char num_buf[SCM_INTBUFLEN]; | |
2187 | return scm_makfromstr (num_buf, | |
2188 | scm_iint2str (SCM_INUM (x), | |
1bbd0b84 | 2189 | base, |
f872b822 MD |
2190 | num_buf), |
2191 | 0); | |
0f2d19dd JB |
2192 | } |
2193 | } | |
1bbd0b84 | 2194 | #undef FUNC_NAME |
0f2d19dd JB |
2195 | |
2196 | ||
2197 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
f3ae5d60 | 2198 | SCM_BIGDIG conditionals */ |
1cc91f1b | 2199 | |
0f2d19dd | 2200 | int |
f3ae5d60 | 2201 | scm_print_real (SCM sexp, SCM port, scm_print_state *pstate) |
0f2d19dd | 2202 | { |
0f2d19dd | 2203 | char num_buf[SCM_FLOBUFLEN]; |
f872b822 | 2204 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd JB |
2205 | return !0; |
2206 | } | |
2207 | ||
f3ae5d60 MD |
2208 | int |
2209 | scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate) | |
2210 | { | |
2211 | char num_buf[SCM_FLOBUFLEN]; | |
2212 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); | |
2213 | return !0; | |
2214 | } | |
1cc91f1b | 2215 | |
0f2d19dd | 2216 | int |
1bbd0b84 | 2217 | scm_bigprint (SCM exp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2218 | { |
2219 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2220 | exp = big2str (exp, (unsigned int) 10); |
2221 | scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port); | |
0f2d19dd | 2222 | #else |
f872b822 | 2223 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
2224 | #endif |
2225 | return !0; | |
2226 | } | |
2227 | /*** END nums->strs ***/ | |
2228 | ||
2229 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee JB |
2230 | |
2231 | static SCM | |
1bbd0b84 | 2232 | scm_small_istr2int (char *str, long len, long radix) |
2a8fecee JB |
2233 | { |
2234 | register long n = 0, ln; | |
2235 | register int c; | |
2236 | register int i = 0; | |
2237 | int lead_neg = 0; | |
f872b822 MD |
2238 | if (0 >= len) |
2239 | return SCM_BOOL_F; /* zero scm_length */ | |
2240 | switch (*str) | |
2241 | { /* leading sign */ | |
2242 | case '-': | |
2243 | lead_neg = 1; | |
2244 | case '+': | |
2245 | if (++i == len) | |
2246 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2247 | } | |
2a8fecee | 2248 | |
f872b822 MD |
2249 | do |
2250 | { | |
2251 | switch (c = str[i++]) | |
2252 | { | |
2253 | case DIGITS: | |
2254 | c = c - '0'; | |
2255 | goto accumulate; | |
2256 | case 'A': | |
2257 | case 'B': | |
2258 | case 'C': | |
2259 | case 'D': | |
2260 | case 'E': | |
2261 | case 'F': | |
2262 | c = c - 'A' + 10; | |
2263 | goto accumulate; | |
2264 | case 'a': | |
2265 | case 'b': | |
2266 | case 'c': | |
2267 | case 'd': | |
2268 | case 'e': | |
2269 | case 'f': | |
2270 | c = c - 'a' + 10; | |
2271 | accumulate: | |
2272 | if (c >= radix) | |
2273 | return SCM_BOOL_F; /* bad digit for radix */ | |
2274 | ln = n; | |
2275 | n = n * radix - c; | |
2276 | /* Negation is a workaround for HP700 cc bug */ | |
2277 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
2278 | goto ovfl; | |
2279 | break; | |
2280 | default: | |
2281 | return SCM_BOOL_F; /* not a digit */ | |
2282 | } | |
2a8fecee | 2283 | } |
f872b822 MD |
2284 | while (i < len); |
2285 | if (!lead_neg) | |
2286 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
2287 | goto ovfl; | |
2288 | return SCM_MAKINUM (n); | |
2a8fecee JB |
2289 | ovfl: /* overflow scheme integer */ |
2290 | return SCM_BOOL_F; | |
2291 | } | |
2292 | ||
2293 | ||
1cc91f1b | 2294 | |
0f2d19dd | 2295 | SCM |
1bbd0b84 | 2296 | scm_istr2int (char *str, long len, long radix) |
0f2d19dd JB |
2297 | { |
2298 | scm_sizet j; | |
2299 | register scm_sizet k, blen = 1; | |
2300 | scm_sizet i = 0; | |
2301 | int c; | |
2302 | SCM res; | |
2303 | register SCM_BIGDIG *ds; | |
2304 | register unsigned long t2; | |
2305 | ||
f872b822 MD |
2306 | if (0 >= len) |
2307 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
2308 | |
2309 | /* Short numbers we parse directly into an int, to avoid the overhead | |
2310 | of creating a bignum. */ | |
2311 | if (len < 6) | |
2312 | return scm_small_istr2int (str, len, radix); | |
2313 | ||
f872b822 MD |
2314 | if (16 == radix) |
2315 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 2316 | else if (10 <= radix) |
f872b822 MD |
2317 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
2318 | else | |
2319 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
2320 | switch (str[0]) | |
2321 | { /* leading sign */ | |
2322 | case '-': | |
2323 | case '+': | |
2324 | if (++i == (unsigned) len) | |
2325 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2326 | } | |
2327 | res = scm_mkbig (j, '-' == str[0]); | |
2328 | ds = SCM_BDIGITS (res); | |
2329 | for (k = j; k--;) | |
2330 | ds[k] = 0; | |
2331 | do | |
2332 | { | |
2333 | switch (c = str[i++]) | |
2334 | { | |
2335 | case DIGITS: | |
2336 | c = c - '0'; | |
2337 | goto accumulate; | |
2338 | case 'A': | |
2339 | case 'B': | |
2340 | case 'C': | |
2341 | case 'D': | |
2342 | case 'E': | |
2343 | case 'F': | |
2344 | c = c - 'A' + 10; | |
2345 | goto accumulate; | |
2346 | case 'a': | |
2347 | case 'b': | |
2348 | case 'c': | |
2349 | case 'd': | |
2350 | case 'e': | |
2351 | case 'f': | |
2352 | c = c - 'a' + 10; | |
2353 | accumulate: | |
2354 | if (c >= radix) | |
2355 | return SCM_BOOL_F; /* bad digit for radix */ | |
2356 | k = 0; | |
2357 | t2 = c; | |
2358 | moretodo: | |
2359 | while (k < blen) | |
2360 | { | |
2361 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2362 | t2 += ds[k] * radix; | |
2363 | ds[k++] = SCM_BIGLO (t2); | |
2364 | t2 = SCM_BIGDN (t2); | |
2365 | } | |
2366 | if (blen > j) | |
2367 | scm_num_overflow ("bignum"); | |
2368 | if (t2) | |
2369 | { | |
2370 | blen++; | |
2371 | goto moretodo; | |
2372 | } | |
2373 | break; | |
2374 | default: | |
2375 | return SCM_BOOL_F; /* not a digit */ | |
2376 | } | |
0f2d19dd | 2377 | } |
f872b822 MD |
2378 | while (i < (unsigned) len); |
2379 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2380 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2381 | return res; | |
2382 | if (j == blen) | |
2383 | return res; | |
2384 | return scm_adjbig (res, blen); | |
0f2d19dd | 2385 | } |
0f2d19dd | 2386 | |
0f2d19dd | 2387 | SCM |
1bbd0b84 | 2388 | scm_istr2flo (char *str, long len, long radix) |
0f2d19dd JB |
2389 | { |
2390 | register int c, i = 0; | |
2391 | double lead_sgn; | |
2392 | double res = 0.0, tmp = 0.0; | |
2393 | int flg = 0; | |
2394 | int point = 0; | |
2395 | SCM second; | |
2396 | ||
f872b822 MD |
2397 | if (i >= len) |
2398 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2399 | |
f872b822 MD |
2400 | switch (*str) |
2401 | { /* leading sign */ | |
2402 | case '-': | |
2403 | lead_sgn = -1.0; | |
2404 | i++; | |
2405 | break; | |
2406 | case '+': | |
2407 | lead_sgn = 1.0; | |
2408 | i++; | |
0f2d19dd JB |
2409 | break; |
2410 | default: | |
f872b822 | 2411 | lead_sgn = 0.0; |
0f2d19dd | 2412 | } |
f872b822 MD |
2413 | if (i == len) |
2414 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2415 | ||
2416 | if (str[i] == 'i' || str[i] == 'I') | |
2417 | { /* handle `+i' and `-i' */ | |
2418 | if (lead_sgn == 0.0) | |
2419 | return SCM_BOOL_F; /* must have leading sign */ | |
2420 | if (++i < len) | |
2421 | return SCM_BOOL_F; /* `i' not last character */ | |
2422 | return scm_makdbl (0.0, lead_sgn); | |
2423 | } | |
2424 | do | |
2425 | { /* check initial digits */ | |
2426 | switch (c = str[i]) | |
2427 | { | |
2428 | case DIGITS: | |
2429 | c = c - '0'; | |
2430 | goto accum1; | |
2431 | case 'D': | |
2432 | case 'E': | |
2433 | case 'F': | |
2434 | if (radix == 10) | |
2435 | goto out1; /* must be exponent */ | |
2436 | case 'A': | |
2437 | case 'B': | |
2438 | case 'C': | |
2439 | c = c - 'A' + 10; | |
2440 | goto accum1; | |
2441 | case 'd': | |
2442 | case 'e': | |
2443 | case 'f': | |
2444 | if (radix == 10) | |
2445 | goto out1; | |
2446 | case 'a': | |
2447 | case 'b': | |
2448 | case 'c': | |
2449 | c = c - 'a' + 10; | |
2450 | accum1: | |
2451 | if (c >= radix) | |
2452 | return SCM_BOOL_F; /* bad digit for radix */ | |
2453 | res = res * radix + c; | |
2454 | flg = 1; /* res is valid */ | |
2455 | break; | |
2456 | default: | |
2457 | goto out1; | |
2458 | } | |
2459 | } | |
2460 | while (++i < len); | |
0f2d19dd JB |
2461 | out1: |
2462 | ||
2463 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2464 | if (i == len) |
2465 | goto done; | |
0f2d19dd JB |
2466 | |
2467 | /* By here, must have seen a digit, | |
2468 | or must have next char be a `.' with radix==10 */ | |
2469 | if (!flg) | |
f872b822 | 2470 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2471 | return SCM_BOOL_F; |
2472 | ||
f872b822 MD |
2473 | while (str[i] == '#') |
2474 | { /* optional sharps */ | |
2475 | res *= radix; | |
2476 | if (++i == len) | |
2477 | goto done; | |
0f2d19dd | 2478 | } |
0f2d19dd | 2479 | |
f872b822 MD |
2480 | if (str[i] == '/') |
2481 | { | |
2482 | while (++i < len) | |
2483 | { | |
2484 | switch (c = str[i]) | |
2485 | { | |
2486 | case DIGITS: | |
2487 | c = c - '0'; | |
2488 | goto accum2; | |
2489 | case 'A': | |
2490 | case 'B': | |
2491 | case 'C': | |
2492 | case 'D': | |
2493 | case 'E': | |
2494 | case 'F': | |
2495 | c = c - 'A' + 10; | |
2496 | goto accum2; | |
2497 | case 'a': | |
2498 | case 'b': | |
2499 | case 'c': | |
2500 | case 'd': | |
2501 | case 'e': | |
2502 | case 'f': | |
2503 | c = c - 'a' + 10; | |
2504 | accum2: | |
2505 | if (c >= radix) | |
2506 | return SCM_BOOL_F; | |
2507 | tmp = tmp * radix + c; | |
2508 | break; | |
2509 | default: | |
2510 | goto out2; | |
2511 | } | |
2512 | } | |
2513 | out2: | |
2514 | if (tmp == 0.0) | |
2515 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2516 | if (i < len) | |
2517 | while (str[i] == '#') | |
2518 | { /* optional sharps */ | |
2519 | tmp *= radix; | |
2520 | if (++i == len) | |
2521 | break; | |
2522 | } | |
2523 | res /= tmp; | |
2524 | goto done; | |
0f2d19dd | 2525 | } |
f872b822 MD |
2526 | |
2527 | if (str[i] == '.') | |
2528 | { /* decimal point notation */ | |
2529 | if (radix != 10) | |
2530 | return SCM_BOOL_F; /* must be radix 10 */ | |
2531 | while (++i < len) | |
2532 | { | |
2533 | switch (c = str[i]) | |
2534 | { | |
2535 | case DIGITS: | |
2536 | point--; | |
2537 | res = res * 10.0 + c - '0'; | |
2538 | flg = 1; | |
2539 | break; | |
2540 | default: | |
2541 | goto out3; | |
2542 | } | |
2543 | } | |
2544 | out3: | |
2545 | if (!flg) | |
2546 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2547 | if (i == len) | |
2548 | goto adjust; | |
2549 | while (str[i] == '#') | |
2550 | { /* ignore remaining sharps */ | |
2551 | if (++i == len) | |
2552 | goto adjust; | |
2553 | } | |
0f2d19dd | 2554 | } |
0f2d19dd | 2555 | |
f872b822 MD |
2556 | switch (str[i]) |
2557 | { /* exponent */ | |
2558 | case 'd': | |
2559 | case 'D': | |
2560 | case 'e': | |
2561 | case 'E': | |
2562 | case 'f': | |
2563 | case 'F': | |
2564 | case 'l': | |
2565 | case 'L': | |
2566 | case 's': | |
2567 | case 'S': | |
2568 | { | |
2569 | int expsgn = 1, expon = 0; | |
2570 | if (radix != 10) | |
2571 | return SCM_BOOL_F; /* only in radix 10 */ | |
2572 | if (++i == len) | |
2573 | return SCM_BOOL_F; /* bad exponent */ | |
2574 | switch (str[i]) | |
2575 | { | |
2576 | case '-': | |
2577 | expsgn = (-1); | |
2578 | case '+': | |
2579 | if (++i == len) | |
2580 | return SCM_BOOL_F; /* bad exponent */ | |
2581 | } | |
2582 | if (str[i] < '0' || str[i] > '9') | |
2583 | return SCM_BOOL_F; /* bad exponent */ | |
2584 | do | |
2585 | { | |
2586 | switch (c = str[i]) | |
2587 | { | |
2588 | case DIGITS: | |
2589 | expon = expon * 10 + c - '0'; | |
f3ae5d60 | 2590 | if (expon > SCM_MAXEXP) |
f872b822 MD |
2591 | return SCM_BOOL_F; /* exponent too large */ |
2592 | break; | |
2593 | default: | |
2594 | goto out4; | |
2595 | } | |
2596 | } | |
2597 | while (++i < len); | |
2598 | out4: | |
2599 | point += expsgn * expon; | |
0f2d19dd | 2600 | } |
f872b822 | 2601 | } |
0f2d19dd JB |
2602 | |
2603 | adjust: | |
2604 | if (point >= 0) | |
f872b822 MD |
2605 | while (point--) |
2606 | res *= 10.0; | |
0f2d19dd | 2607 | else |
f872b822 MD |
2608 | #ifdef _UNICOS |
2609 | while (point++) | |
2610 | res *= 0.1; | |
2611 | #else | |
2612 | while (point++) | |
2613 | res /= 10.0; | |
2614 | #endif | |
0f2d19dd JB |
2615 | |
2616 | done: | |
2617 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2618 | if (lead_sgn == -1.0) |
2619 | res = -res; | |
2620 | if (i == len) | |
2621 | return scm_makdbl (res, 0.0); | |
2622 | ||
2623 | if (str[i] == 'i' || str[i] == 'I') | |
2624 | { /* pure imaginary number */ | |
2625 | if (lead_sgn == 0.0) | |
2626 | return SCM_BOOL_F; /* must have leading sign */ | |
2627 | if (++i < len) | |
2628 | return SCM_BOOL_F; /* `i' not last character */ | |
2629 | return scm_makdbl (0.0, res); | |
2630 | } | |
0f2d19dd | 2631 | |
f872b822 MD |
2632 | switch (str[i++]) |
2633 | { | |
2634 | case '-': | |
2635 | lead_sgn = -1.0; | |
2636 | break; | |
2637 | case '+': | |
2638 | lead_sgn = 1.0; | |
2639 | break; | |
2640 | case '@': | |
2641 | { /* polar input for complex number */ | |
2642 | /* get a `real' for scm_angle */ | |
2643 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
f3ae5d60 | 2644 | if (!SCM_SLOPPY_INEXACTP (second)) |
f872b822 | 2645 | return SCM_BOOL_F; /* not `real' */ |
f3ae5d60 | 2646 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2647 | return SCM_BOOL_F; /* not `real' */ |
2648 | tmp = SCM_REALPART (second); | |
2649 | return scm_makdbl (res * cos (tmp), res * sin (tmp)); | |
2650 | } | |
2651 | default: | |
2652 | return SCM_BOOL_F; | |
2653 | } | |
0f2d19dd JB |
2654 | |
2655 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2656 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2657 | return SCM_BOOL_F; | |
0f2d19dd | 2658 | /* handles `x+i' and `x-i' */ |
f872b822 MD |
2659 | if (i == (len - 1)) |
2660 | return scm_makdbl (res, lead_sgn); | |
0f2d19dd | 2661 | /* get a `ureal' for complex part */ |
f872b822 | 2662 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
f3ae5d60 | 2663 | if (!SCM_INEXACTP (second)) |
f872b822 | 2664 | return SCM_BOOL_F; /* not `ureal' */ |
f3ae5d60 | 2665 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2666 | return SCM_BOOL_F; /* not `ureal' */ |
2667 | tmp = SCM_REALPART (second); | |
2668 | if (tmp < 0.0) | |
2669 | return SCM_BOOL_F; /* not `ureal' */ | |
2670 | return scm_makdbl (res, (lead_sgn * tmp)); | |
0f2d19dd | 2671 | } |
0f2d19dd JB |
2672 | |
2673 | ||
1cc91f1b | 2674 | |
0f2d19dd | 2675 | SCM |
1bbd0b84 | 2676 | scm_istring2number (char *str, long len, long radix) |
0f2d19dd JB |
2677 | { |
2678 | int i = 0; | |
2679 | char ex = 0; | |
2680 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2681 | SCM res; | |
f872b822 MD |
2682 | if (len == 1) |
2683 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2684 | return SCM_BOOL_F; |
2685 | ||
f872b822 MD |
2686 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2687 | switch (str[i++]) | |
2688 | { | |
2689 | case 'b': | |
2690 | case 'B': | |
2691 | if (rx_p++) | |
2692 | return SCM_BOOL_F; | |
2693 | radix = 2; | |
2694 | break; | |
2695 | case 'o': | |
2696 | case 'O': | |
2697 | if (rx_p++) | |
2698 | return SCM_BOOL_F; | |
2699 | radix = 8; | |
2700 | break; | |
2701 | case 'd': | |
2702 | case 'D': | |
2703 | if (rx_p++) | |
2704 | return SCM_BOOL_F; | |
2705 | radix = 10; | |
2706 | break; | |
2707 | case 'x': | |
2708 | case 'X': | |
2709 | if (rx_p++) | |
2710 | return SCM_BOOL_F; | |
2711 | radix = 16; | |
2712 | break; | |
2713 | case 'i': | |
2714 | case 'I': | |
2715 | if (ex_p++) | |
2716 | return SCM_BOOL_F; | |
2717 | ex = 2; | |
2718 | break; | |
2719 | case 'e': | |
2720 | case 'E': | |
2721 | if (ex_p++) | |
2722 | return SCM_BOOL_F; | |
2723 | ex = 1; | |
2724 | break; | |
2725 | default: | |
2726 | return SCM_BOOL_F; | |
2727 | } | |
2728 | ||
2729 | switch (ex) | |
2730 | { | |
2731 | case 1: | |
2732 | return scm_istr2int (&str[i], len - i, radix); | |
2733 | case 0: | |
2734 | res = scm_istr2int (&str[i], len - i, radix); | |
2735 | if (SCM_NFALSEP (res)) | |
2736 | return res; | |
f872b822 MD |
2737 | case 2: |
2738 | return scm_istr2flo (&str[i], len - i, radix); | |
f872b822 | 2739 | } |
0f2d19dd JB |
2740 | return SCM_BOOL_F; |
2741 | } | |
2742 | ||
2743 | ||
a1ec6916 | 2744 | SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0, |
1bbd0b84 | 2745 | (SCM str, SCM radix), |
b380b885 | 2746 | "") |
1bbd0b84 | 2747 | #define FUNC_NAME s_scm_string_to_number |
0f2d19dd JB |
2748 | { |
2749 | SCM answer; | |
1bbd0b84 | 2750 | int base; |
3b3b36dd GB |
2751 | SCM_VALIDATE_ROSTRING (1,str); |
2752 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); | |
f872b822 MD |
2753 | answer = scm_istring2number (SCM_ROCHARS (str), |
2754 | SCM_ROLENGTH (str), | |
1bbd0b84 | 2755 | base); |
0f2d19dd JB |
2756 | return scm_return_first (answer, str); |
2757 | } | |
1bbd0b84 | 2758 | #undef FUNC_NAME |
0f2d19dd JB |
2759 | /*** END strs->nums ***/ |
2760 | ||
0f2d19dd | 2761 | SCM |
f3ae5d60 | 2762 | scm_make_real (double x) |
0f2d19dd JB |
2763 | { |
2764 | SCM z; | |
f3ae5d60 | 2765 | SCM_NEWREAL (z, x); |
0f2d19dd JB |
2766 | return z; |
2767 | } | |
0f2d19dd | 2768 | |
f3ae5d60 MD |
2769 | SCM |
2770 | scm_make_complex (double x, double y) | |
2771 | { | |
2772 | SCM z; | |
2773 | SCM_NEWCOMPLEX (z, x, y); | |
2774 | return z; | |
2775 | } | |
1cc91f1b | 2776 | |
0f2d19dd | 2777 | SCM |
1bbd0b84 | 2778 | scm_bigequal (SCM x, SCM y) |
0f2d19dd JB |
2779 | { |
2780 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2781 | if (0 == scm_bigcomp (x, y)) |
2782 | return SCM_BOOL_T; | |
0f2d19dd JB |
2783 | #endif |
2784 | return SCM_BOOL_F; | |
2785 | } | |
2786 | ||
0f2d19dd | 2787 | SCM |
f3ae5d60 | 2788 | scm_real_equalp (SCM x, SCM y) |
0f2d19dd | 2789 | { |
f3ae5d60 | 2790 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); |
0f2d19dd JB |
2791 | } |
2792 | ||
f3ae5d60 MD |
2793 | SCM |
2794 | scm_complex_equalp (SCM x, SCM y) | |
2795 | { | |
2796 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2797 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2798 | } | |
0f2d19dd JB |
2799 | |
2800 | ||
2801 | ||
1bbd0b84 | 2802 | SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
1cc91f1b | 2803 | |
a1ec6916 | 2804 | SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0, |
1bbd0b84 | 2805 | (SCM x), |
b380b885 | 2806 | "") |
1bbd0b84 | 2807 | #define FUNC_NAME s_scm_number_p |
0f2d19dd | 2808 | { |
f872b822 MD |
2809 | if (SCM_INUMP (x)) |
2810 | return SCM_BOOL_T; | |
0c95b57d | 2811 | if (SCM_NUMP (x)) |
f872b822 | 2812 | return SCM_BOOL_T; |
0f2d19dd JB |
2813 | return SCM_BOOL_F; |
2814 | } | |
1bbd0b84 | 2815 | #undef FUNC_NAME |
0f2d19dd JB |
2816 | |
2817 | ||
2818 | ||
1bbd0b84 | 2819 | SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
1cc91f1b | 2820 | |
1bbd0b84 | 2821 | |
a1ec6916 | 2822 | SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0, |
1bbd0b84 | 2823 | (SCM x), |
b380b885 | 2824 | "") |
1bbd0b84 | 2825 | #define FUNC_NAME s_scm_real_p |
0f2d19dd | 2826 | { |
f872b822 | 2827 | if (SCM_INUMP (x)) |
0f2d19dd | 2828 | return SCM_BOOL_T; |
f872b822 | 2829 | if (SCM_IMP (x)) |
0f2d19dd | 2830 | return SCM_BOOL_F; |
f3ae5d60 | 2831 | if (SCM_SLOPPY_REALP (x)) |
0f2d19dd | 2832 | return SCM_BOOL_T; |
f872b822 MD |
2833 | #ifdef SCM_BIGDIG |
2834 | if (SCM_BIGP (x)) | |
0f2d19dd | 2835 | return SCM_BOOL_T; |
f872b822 | 2836 | #endif |
0f2d19dd JB |
2837 | return SCM_BOOL_F; |
2838 | } | |
1bbd0b84 | 2839 | #undef FUNC_NAME |
0f2d19dd JB |
2840 | |
2841 | ||
2842 | ||
a1ec6916 | 2843 | SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0, |
1bbd0b84 | 2844 | (SCM x), |
b380b885 | 2845 | "") |
1bbd0b84 | 2846 | #define FUNC_NAME s_scm_integer_p |
0f2d19dd JB |
2847 | { |
2848 | double r; | |
f872b822 MD |
2849 | if (SCM_INUMP (x)) |
2850 | return SCM_BOOL_T; | |
2851 | if (SCM_IMP (x)) | |
2852 | return SCM_BOOL_F; | |
2853 | #ifdef SCM_BIGDIG | |
2854 | if (SCM_BIGP (x)) | |
2855 | return SCM_BOOL_T; | |
2856 | #endif | |
f3ae5d60 | 2857 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 | 2858 | return SCM_BOOL_F; |
f3ae5d60 | 2859 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 MD |
2860 | return SCM_BOOL_F; |
2861 | r = SCM_REALPART (x); | |
2862 | if (r == floor (r)) | |
2863 | return SCM_BOOL_T; | |
0f2d19dd JB |
2864 | return SCM_BOOL_F; |
2865 | } | |
1bbd0b84 | 2866 | #undef FUNC_NAME |
0f2d19dd JB |
2867 | |
2868 | ||
2869 | ||
a1ec6916 | 2870 | SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0, |
1bbd0b84 | 2871 | (SCM x), |
b380b885 | 2872 | "") |
1bbd0b84 | 2873 | #define FUNC_NAME s_scm_inexact_p |
0f2d19dd | 2874 | { |
f3ae5d60 | 2875 | if (SCM_INEXACTP (x)) |
f872b822 | 2876 | return SCM_BOOL_T; |
0f2d19dd JB |
2877 | return SCM_BOOL_F; |
2878 | } | |
1bbd0b84 | 2879 | #undef FUNC_NAME |
0f2d19dd JB |
2880 | |
2881 | ||
2882 | ||
2883 | ||
152f82bf | 2884 | SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p); |
1cc91f1b | 2885 | |
0f2d19dd | 2886 | SCM |
6e8d25a6 | 2887 | scm_num_eq_p (SCM x, SCM y) |
0f2d19dd | 2888 | { |
0f2d19dd | 2889 | SCM t; |
f872b822 MD |
2890 | if (SCM_NINUMP (x)) |
2891 | { | |
2892 | #ifdef SCM_BIGDIG | |
0c95b57d | 2893 | if (!SCM_NIMP (x)) |
f872b822 MD |
2894 | { |
2895 | badx: | |
152f82bf | 2896 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 | 2897 | } |
f872b822 MD |
2898 | if (SCM_BIGP (x)) |
2899 | { | |
2900 | if (SCM_INUMP (y)) | |
2901 | return SCM_BOOL_F; | |
2902 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2903 | if (SCM_BIGP (y)) | |
156dcb09 | 2904 | return SCM_BOOL(0 == scm_bigcomp (x, y)); |
f3ae5d60 | 2905 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2906 | bigreal: |
f3ae5d60 | 2907 | return ((SCM_SLOPPY_REALP (y) && (scm_big2dbl (x) == SCM_REALPART (y))) |
f872b822 MD |
2908 | ? SCM_BOOL_T |
2909 | : SCM_BOOL_F); | |
2910 | } | |
f3ae5d60 | 2911 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
0f2d19dd | 2912 | #else |
f3ae5d60 | 2913 | SCM_GASSERT2 (SCM_SLOPPY_INEXACTP (x), |
152f82bf | 2914 | g_eq_p, x, y, SCM_ARG1, s_eq_p); |
f872b822 MD |
2915 | #endif |
2916 | if (SCM_INUMP (y)) | |
2917 | { | |
2918 | t = x; | |
2919 | x = y; | |
2920 | y = t; | |
2921 | goto realint; | |
2922 | } | |
2923 | #ifdef SCM_BIGDIG | |
2924 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2925 | if (SCM_BIGP (y)) | |
2926 | { | |
2927 | t = x; | |
2928 | x = y; | |
2929 | y = t; | |
2930 | goto bigreal; | |
2931 | } | |
f3ae5d60 | 2932 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2933 | #else |
f3ae5d60 | 2934 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 2935 | #endif |
f3ae5d60 MD |
2936 | if (SCM_SLOPPY_REALP (x)) |
2937 | { | |
2938 | if (SCM_SLOPPY_REALP (y)) | |
2939 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); | |
2940 | else | |
2941 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y) | |
2942 | && 0.0 == SCM_COMPLEX_IMAG (y)); | |
2943 | } | |
2944 | else | |
2945 | { | |
2946 | if (SCM_SLOPPY_REALP (y)) | |
2947 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y) | |
2948 | && SCM_COMPLEX_IMAG (x) == 0.0); | |
2949 | else | |
2950 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2951 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2952 | } | |
f872b822 MD |
2953 | } |
2954 | if (SCM_NINUMP (y)) | |
2955 | { | |
2956 | #ifdef SCM_BIGDIG | |
2957 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
2958 | if (SCM_BIGP (y)) | |
2959 | return SCM_BOOL_F; | |
f3ae5d60 | 2960 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
2961 | { |
2962 | bady: | |
152f82bf | 2963 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 2964 | } |
f872b822 | 2965 | #else |
f3ae5d60 | 2966 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
2967 | { |
2968 | bady: | |
152f82bf | 2969 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); |
f872b822 | 2970 | } |
f872b822 MD |
2971 | #endif |
2972 | realint: | |
f3ae5d60 MD |
2973 | if (SCM_SLOPPY_REALP (y)) |
2974 | return SCM_BOOL ((double) SCM_INUM (x) == SCM_REAL_VALUE (y)); | |
2975 | else | |
2976 | return SCM_BOOL ((double) SCM_INUM (x) == SCM_COMPLEX_REAL (y) | |
2977 | && 0.0 == SCM_COMPLEX_IMAG (y)); | |
f872b822 | 2978 | } |
156dcb09 | 2979 | return SCM_BOOL((long) x == (long) y); |
0f2d19dd JB |
2980 | } |
2981 | ||
2982 | ||
2983 | ||
152f82bf | 2984 | SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p); |
1cc91f1b | 2985 | |
0f2d19dd | 2986 | SCM |
6e8d25a6 | 2987 | scm_less_p (SCM x, SCM y) |
0f2d19dd | 2988 | { |
f872b822 MD |
2989 | if (SCM_NINUMP (x)) |
2990 | { | |
2991 | #ifdef SCM_BIGDIG | |
0c95b57d | 2992 | if (!SCM_NIMP (x)) |
f872b822 MD |
2993 | { |
2994 | badx: | |
152f82bf | 2995 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 | 2996 | } |
f872b822 MD |
2997 | if (SCM_BIGP (x)) |
2998 | { | |
2999 | if (SCM_INUMP (y)) | |
156dcb09 | 3000 | return SCM_BOOL(SCM_BIGSIGN (x)); |
f872b822 MD |
3001 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3002 | if (SCM_BIGP (y)) | |
156dcb09 | 3003 | return SCM_BOOL(1 == scm_bigcomp (x, y)); |
f3ae5d60 | 3004 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3005 | return ((scm_big2dbl (x) < SCM_REALPART (y)) |
3006 | ? SCM_BOOL_T | |
3007 | : SCM_BOOL_F); | |
3008 | } | |
f3ae5d60 | 3009 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx); |
0f2d19dd | 3010 | #else |
f3ae5d60 | 3011 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
152f82bf | 3012 | g_less_p, x, y, SCM_ARG1, s_less_p); |
f872b822 MD |
3013 | #endif |
3014 | if (SCM_INUMP (y)) | |
3015 | return ((SCM_REALPART (x) < ((double) SCM_INUM (y))) | |
3016 | ? SCM_BOOL_T | |
3017 | : SCM_BOOL_F); | |
3018 | #ifdef SCM_BIGDIG | |
3019 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3020 | if (SCM_BIGP (y)) | |
156dcb09 | 3021 | return SCM_BOOL(SCM_REALPART (x) < scm_big2dbl (y)); |
f3ae5d60 | 3022 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3023 | #else |
f3ae5d60 | 3024 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3025 | #endif |
156dcb09 | 3026 | return SCM_BOOL(SCM_REALPART (x) < SCM_REALPART (y)); |
f872b822 MD |
3027 | } |
3028 | if (SCM_NINUMP (y)) | |
3029 | { | |
3030 | #ifdef SCM_BIGDIG | |
3031 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3032 | if (SCM_BIGP (y)) | |
156dcb09 | 3033 | return SCM_NEGATE_BOOL(SCM_BIGSIGN (y)); |
f3ae5d60 | 3034 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3035 | { |
3036 | bady: | |
152f82bf | 3037 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3038 | } |
f872b822 | 3039 | #else |
f3ae5d60 | 3040 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3041 | { |
3042 | bady: | |
152f82bf | 3043 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); |
f872b822 | 3044 | } |
f872b822 MD |
3045 | #endif |
3046 | return ((((double) SCM_INUM (x)) < SCM_REALPART (y)) | |
3047 | ? SCM_BOOL_T | |
3048 | : SCM_BOOL_F); | |
3049 | } | |
156dcb09 | 3050 | return SCM_BOOL((long) x < (long) y); |
0f2d19dd JB |
3051 | } |
3052 | ||
3053 | ||
c3ee7520 | 3054 | SCM_DEFINE1 (scm_gr_p, ">", scm_tc7_rpsubr, |
1bbd0b84 | 3055 | (SCM x, SCM y), |
b380b885 | 3056 | "") |
1bbd0b84 | 3057 | #define FUNC_NAME s_scm_gr_p |
0f2d19dd | 3058 | { |
f872b822 | 3059 | return scm_less_p (y, x); |
0f2d19dd | 3060 | } |
1bbd0b84 | 3061 | #undef FUNC_NAME |
0f2d19dd JB |
3062 | |
3063 | ||
3064 | ||
c3ee7520 | 3065 | SCM_DEFINE1 (scm_leq_p, "<=", scm_tc7_rpsubr, |
1bbd0b84 | 3066 | (SCM x, SCM y), |
b380b885 | 3067 | "") |
1bbd0b84 | 3068 | #define FUNC_NAME s_scm_leq_p |
0f2d19dd | 3069 | { |
f872b822 | 3070 | return SCM_BOOL_NOT (scm_less_p (y, x)); |
0f2d19dd | 3071 | } |
1bbd0b84 | 3072 | #undef FUNC_NAME |
0f2d19dd JB |
3073 | |
3074 | ||
3075 | ||
c3ee7520 | 3076 | SCM_DEFINE1 (scm_geq_p, ">=", scm_tc7_rpsubr, |
1bbd0b84 | 3077 | (SCM x, SCM y), |
b380b885 | 3078 | "") |
1bbd0b84 | 3079 | #define FUNC_NAME s_scm_geq_p |
0f2d19dd | 3080 | { |
f872b822 | 3081 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd | 3082 | } |
1bbd0b84 | 3083 | #undef FUNC_NAME |
0f2d19dd JB |
3084 | |
3085 | ||
3086 | ||
152f82bf | 3087 | SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p); |
1cc91f1b | 3088 | |
0f2d19dd | 3089 | SCM |
6e8d25a6 | 3090 | scm_zero_p (SCM z) |
0f2d19dd | 3091 | { |
f872b822 MD |
3092 | if (SCM_NINUMP (z)) |
3093 | { | |
3094 | #ifdef SCM_BIGDIG | |
3095 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
3096 | if (SCM_BIGP (z)) | |
3097 | return SCM_BOOL_F; | |
f3ae5d60 | 3098 | if (!SCM_SLOPPY_INEXACTP (z)) |
f872b822 MD |
3099 | { |
3100 | badz: | |
152f82bf | 3101 | SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3102 | } |
0f2d19dd | 3103 | #else |
f3ae5d60 | 3104 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 3105 | g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3106 | #endif |
f3ae5d60 MD |
3107 | if (SCM_SLOPPY_REALP (z)) |
3108 | return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0); | |
3109 | else | |
3110 | return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0 | |
3111 | && SCM_COMPLEX_IMAG (z) == 0.0); | |
f872b822 | 3112 | } |
156dcb09 | 3113 | return SCM_BOOL(z == SCM_INUM0); |
0f2d19dd JB |
3114 | } |
3115 | ||
3116 | ||
3117 | ||
152f82bf | 3118 | SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p); |
1cc91f1b | 3119 | |
0f2d19dd | 3120 | SCM |
6e8d25a6 | 3121 | scm_positive_p (SCM x) |
0f2d19dd | 3122 | { |
f872b822 MD |
3123 | if (SCM_NINUMP (x)) |
3124 | { | |
3125 | #ifdef SCM_BIGDIG | |
3126 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3127 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3128 | return SCM_BOOL (!SCM_BIGSIGN (x)); |
3129 | if (!SCM_SLOPPY_REALP (x)) | |
f872b822 MD |
3130 | { |
3131 | badx: | |
152f82bf | 3132 | SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3133 | } |
0f2d19dd | 3134 | #else |
f3ae5d60 | 3135 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3136 | g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3137 | #endif |
156dcb09 | 3138 | return SCM_BOOL(SCM_REALPART (x) > 0.0); |
f872b822 | 3139 | } |
c209c88e | 3140 | return SCM_BOOL(SCM_INUM(x) > 0); |
0f2d19dd JB |
3141 | } |
3142 | ||
3143 | ||
3144 | ||
152f82bf | 3145 | SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p); |
1cc91f1b | 3146 | |
0f2d19dd | 3147 | SCM |
6e8d25a6 | 3148 | scm_negative_p (SCM x) |
0f2d19dd | 3149 | { |
f872b822 MD |
3150 | if (SCM_NINUMP (x)) |
3151 | { | |
3152 | #ifdef SCM_BIGDIG | |
3153 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3154 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3155 | return SCM_BOOL (SCM_BIGSIGN (x)); |
3156 | if (!(SCM_SLOPPY_REALP (x))) | |
f872b822 MD |
3157 | { |
3158 | badx: | |
152f82bf | 3159 | SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p); |
f872b822 | 3160 | } |
0f2d19dd | 3161 | #else |
f3ae5d60 | 3162 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3163 | g_negative_p, x, SCM_ARG1, s_negative_p); |
0f2d19dd | 3164 | #endif |
156dcb09 | 3165 | return SCM_BOOL(SCM_REALPART (x) < 0.0); |
f872b822 | 3166 | } |
c209c88e | 3167 | return SCM_BOOL(SCM_INUM(x) < 0); |
0f2d19dd JB |
3168 | } |
3169 | ||
3170 | ||
9de33deb | 3171 | SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max); |
1cc91f1b | 3172 | |
0f2d19dd | 3173 | SCM |
6e8d25a6 | 3174 | scm_max (SCM x, SCM y) |
0f2d19dd | 3175 | { |
0f2d19dd | 3176 | double z; |
f872b822 MD |
3177 | if (SCM_UNBNDP (y)) |
3178 | { | |
73ef98d6 MD |
3179 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3180 | g_max, scm_makfrom0str (s_max), SCM_WNA, 0); | |
0e3aa89f | 3181 | SCM_GASSERT1 (SCM_NUMBERP (x), g_max, x, SCM_ARG1, s_max); |
f872b822 MD |
3182 | return x; |
3183 | } | |
f872b822 MD |
3184 | if (SCM_NINUMP (x)) |
3185 | { | |
3186 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3187 | if (!SCM_NIMP (x)) |
3188 | { | |
3189 | badx2: | |
3190 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max); | |
3191 | } | |
f872b822 MD |
3192 | if (SCM_BIGP (x)) |
3193 | { | |
3194 | if (SCM_INUMP (y)) | |
3195 | return SCM_BIGSIGN (x) ? y : x; | |
3196 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3197 | if (SCM_BIGP (y)) | |
3198 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
f3ae5d60 | 3199 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3200 | z = scm_big2dbl (x); |
3201 | return (z < SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3202 | } | |
f3ae5d60 | 3203 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2); |
0f2d19dd | 3204 | #else |
f3ae5d60 | 3205 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
9de33deb | 3206 | g_max, x, y, SCM_ARG1, s_max); |
f872b822 MD |
3207 | #endif |
3208 | if (SCM_INUMP (y)) | |
3209 | return ((SCM_REALPART (x) < (z = SCM_INUM (y))) | |
3210 | ? scm_makdbl (z, 0.0) | |
3211 | : x); | |
3212 | #ifdef SCM_BIGDIG | |
3213 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3214 | if (SCM_BIGP (y)) | |
3215 | return ((SCM_REALPART (x) < (z = scm_big2dbl (y))) | |
3216 | ? scm_makdbl (z, 0.0) | |
3217 | : x); | |
f3ae5d60 | 3218 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3219 | #else |
f3ae5d60 | 3220 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3221 | #endif |
3222 | return (SCM_REALPART (x) < SCM_REALPART (y)) ? y : x; | |
3223 | } | |
3224 | if (SCM_NINUMP (y)) | |
3225 | { | |
3226 | #ifdef SCM_BIGDIG | |
3227 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3228 | if (SCM_BIGP (y)) | |
3229 | return SCM_BIGSIGN (y) ? x : y; | |
f3ae5d60 | 3230 | if (!(SCM_SLOPPY_REALP (y))) |
f872b822 MD |
3231 | { |
3232 | bady: | |
9de33deb | 3233 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3234 | } |
f872b822 | 3235 | #else |
f3ae5d60 | 3236 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3237 | { |
3238 | bady: | |
9de33deb | 3239 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); |
f872b822 | 3240 | } |
f872b822 MD |
3241 | #endif |
3242 | return (((z = SCM_INUM (x)) < SCM_REALPART (y)) | |
3243 | ? y | |
3244 | : scm_makdbl (z, 0.0)); | |
3245 | } | |
f872b822 | 3246 | return ((long) x < (long) y) ? y : x; |
0f2d19dd JB |
3247 | } |
3248 | ||
3249 | ||
c209c88e GB |
3250 | #define SCM_SWAP(x,y) do { SCM t = x; x = y; y = t; } while (0) |
3251 | ||
0f2d19dd JB |
3252 | |
3253 | ||
9de33deb | 3254 | SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min); |
1cc91f1b | 3255 | |
0f2d19dd | 3256 | SCM |
6e8d25a6 | 3257 | scm_min (SCM x, SCM y) |
0f2d19dd | 3258 | { |
0f2d19dd | 3259 | double z; |
f872b822 MD |
3260 | if (SCM_UNBNDP (y)) |
3261 | { | |
73ef98d6 MD |
3262 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3263 | g_min, scm_makfrom0str (s_min), SCM_WNA, 0); | |
0e3aa89f | 3264 | SCM_GASSERT1 (SCM_NUMBERP (x), g_min, x, SCM_ARG1, s_min); |
f872b822 MD |
3265 | return x; |
3266 | } | |
f872b822 MD |
3267 | if (SCM_NINUMP (x)) |
3268 | { | |
3269 | #ifdef SCM_BIGDIG | |
0c95b57d | 3270 | if (!SCM_NIMP (x)) |
0e3aa89f MD |
3271 | { |
3272 | badx2: | |
3273 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min); | |
3274 | } | |
f872b822 MD |
3275 | if (SCM_BIGP (x)) |
3276 | { | |
3277 | if (SCM_INUMP (y)) | |
3278 | return SCM_BIGSIGN (x) ? x : y; | |
3279 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3280 | if (SCM_BIGP (y)) | |
3281 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
f3ae5d60 | 3282 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3283 | z = scm_big2dbl (x); |
3284 | return (z > SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0); | |
3285 | } | |
f3ae5d60 | 3286 | SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2); |
0f2d19dd | 3287 | #else |
f3ae5d60 | 3288 | SCM_GASSERT2 (SCM_SLOPPY_REALP (x), |
9de33deb | 3289 | g_min, x, y, SCM_ARG1, s_min); |
f872b822 MD |
3290 | #endif |
3291 | if (SCM_INUMP (y)) | |
3292 | return ((SCM_REALPART (x) > (z = SCM_INUM (y))) | |
3293 | ? scm_makdbl (z, 0.0) | |
3294 | : x); | |
3295 | #ifdef SCM_BIGDIG | |
3296 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3297 | if (SCM_BIGP (y)) | |
3298 | return ((SCM_REALPART (x) > (z = scm_big2dbl (y))) | |
3299 | ? scm_makdbl (z, 0.0) | |
3300 | : x); | |
f3ae5d60 | 3301 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 | 3302 | #else |
f3ae5d60 | 3303 | SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady); |
f872b822 MD |
3304 | #endif |
3305 | return (SCM_REALPART (x) > SCM_REALPART (y)) ? y : x; | |
3306 | } | |
3307 | if (SCM_NINUMP (y)) | |
3308 | { | |
3309 | #ifdef SCM_BIGDIG | |
3310 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3311 | if (SCM_BIGP (y)) | |
3312 | return SCM_BIGSIGN (y) ? y : x; | |
f3ae5d60 | 3313 | if (!(SCM_SLOPPY_REALP (y))) |
f872b822 MD |
3314 | { |
3315 | bady: | |
9de33deb | 3316 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3317 | } |
f872b822 | 3318 | #else |
f3ae5d60 | 3319 | if (!SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3320 | { |
3321 | bady: | |
9de33deb | 3322 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); |
f872b822 | 3323 | } |
0f2d19dd | 3324 | #endif |
f872b822 MD |
3325 | return (((z = SCM_INUM (x)) > SCM_REALPART (y)) |
3326 | ? y | |
3327 | : scm_makdbl (z, 0.0)); | |
3328 | } | |
f872b822 | 3329 | return ((long) x > (long) y) ? y : x; |
0f2d19dd JB |
3330 | } |
3331 | ||
3332 | ||
3333 | ||
3334 | ||
9de33deb | 3335 | SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum); |
1cc91f1b | 3336 | |
c209c88e GB |
3337 | /* |
3338 | This is sick, sick, sick code. | |
3339 | ||
3340 | */ | |
0f2d19dd | 3341 | SCM |
6e8d25a6 | 3342 | scm_sum (SCM x, SCM y) |
0f2d19dd | 3343 | { |
f872b822 MD |
3344 | if (SCM_UNBNDP (y)) |
3345 | { | |
3346 | if (SCM_UNBNDP (x)) | |
3347 | return SCM_INUM0; | |
0e3aa89f | 3348 | SCM_GASSERT1 (SCM_NUMBERP (x), g_sum, x, SCM_ARG1, s_sum); |
f872b822 MD |
3349 | return x; |
3350 | } | |
f872b822 MD |
3351 | if (SCM_NINUMP (x)) |
3352 | { | |
c209c88e | 3353 | # ifdef SCM_BIGDIG |
0e3aa89f MD |
3354 | if (!SCM_NIMP (x)) |
3355 | { | |
3356 | badx2: | |
3357 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum); | |
3358 | } | |
f872b822 MD |
3359 | if (SCM_BIGP (x)) |
3360 | { | |
3361 | if (SCM_INUMP (y)) | |
3362 | { | |
c209c88e | 3363 | SCM_SWAP(x,y); |
f872b822 MD |
3364 | goto intbig; |
3365 | } | |
3366 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3367 | if (SCM_BIGP (y)) | |
3368 | { | |
3369 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) | |
3370 | { | |
c209c88e | 3371 | SCM_SWAP(x,y); |
f872b822 MD |
3372 | } |
3373 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3374 | SCM_BIGSIGN (x), | |
3375 | y, 0); | |
3376 | } | |
f3ae5d60 | 3377 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3378 | bigreal: |
f3ae5d60 MD |
3379 | if (SCM_SLOPPY_REALP (y)) |
3380 | return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y)); | |
3381 | else | |
3382 | return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y), | |
3383 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3384 | } |
c209c88e | 3385 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3386 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
c209c88e | 3387 | |
f872b822 MD |
3388 | if (SCM_INUMP (y)) |
3389 | { | |
c209c88e | 3390 | SCM_SWAP(x,y); |
f872b822 MD |
3391 | goto intreal; |
3392 | } | |
c209c88e | 3393 | # ifdef SCM_BIGDIG |
f872b822 MD |
3394 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3395 | if (SCM_BIGP (y)) | |
3396 | { | |
c209c88e | 3397 | SCM_SWAP(x,y); |
f872b822 MD |
3398 | goto bigreal; |
3399 | } | |
f3ae5d60 | 3400 | else if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3401 | { |
3402 | bady: | |
9de33deb | 3403 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3404 | } |
c209c88e | 3405 | # else /* SCM_BIGDIG */ |
f3ae5d60 | 3406 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3407 | { |
3408 | bady: | |
9de33deb | 3409 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3410 | } |
c209c88e | 3411 | # endif /* SCM_BIGDIG */ |
f872b822 MD |
3412 | { |
3413 | double i = 0.0; | |
f3ae5d60 MD |
3414 | if (SCM_SLOPPY_COMPLEXP (x)) |
3415 | i = SCM_COMPLEX_IMAG (x); | |
3416 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3417 | i += SCM_COMPLEX_IMAG (y); | |
f872b822 | 3418 | return scm_makdbl (SCM_REALPART (x) + SCM_REALPART (y), i); |
0f2d19dd | 3419 | } |
f872b822 MD |
3420 | } |
3421 | if (SCM_NINUMP (y)) | |
3422 | { | |
c209c88e | 3423 | # ifdef SCM_BIGDIG |
f872b822 MD |
3424 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3425 | if (SCM_BIGP (y)) | |
3426 | { | |
3427 | intbig: | |
3428 | { | |
c209c88e | 3429 | # ifndef SCM_DIGSTOOBIG |
f872b822 MD |
3430 | long z = scm_pseudolong (SCM_INUM (x)); |
3431 | return scm_addbig ((SCM_BIGDIG *) & z, | |
3432 | SCM_DIGSPERLONG, | |
f3ae5d60 | 3433 | (x < 0) ? SCM_BIGSIGNFLAG : 0, |
f872b822 | 3434 | y, 0); |
c209c88e | 3435 | # else /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3436 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3437 | scm_longdigs (SCM_INUM (x), zdigs); | |
f3ae5d60 | 3438 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? SCM_BIGSIGNFLAG : 0, |
f872b822 | 3439 | y, 0); |
c209c88e | 3440 | # endif /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3441 | } |
3442 | } | |
c209c88e | 3443 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3444 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3445 | intreal: |
f3ae5d60 MD |
3446 | if (SCM_REALP (y)) |
3447 | return scm_make_real (SCM_INUM (x) + SCM_REAL_VALUE (y)); | |
3448 | else | |
3449 | return scm_make_complex (SCM_INUM (x) + SCM_COMPLEX_REAL (y), | |
3450 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3451 | } |
c209c88e GB |
3452 | { /* scope */ |
3453 | long int i = SCM_INUM (x) + SCM_INUM (y); | |
3454 | if (SCM_FIXABLE (i)) | |
3455 | return SCM_MAKINUM (i); | |
0f2d19dd | 3456 | #ifdef SCM_BIGDIG |
c209c88e GB |
3457 | return scm_long2big (i); |
3458 | #else /* SCM_BIGDIG */ | |
c209c88e | 3459 | return scm_makdbl ((double) i, 0.0); |
c209c88e GB |
3460 | #endif /* SCM_BIGDIG */ |
3461 | } /* end scope */ | |
0f2d19dd JB |
3462 | } |
3463 | ||
3464 | ||
3465 | ||
3466 | ||
9de33deb | 3467 | SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference); |
1cc91f1b | 3468 | |
c209c88e GB |
3469 | /* |
3470 | HWN:FIXME:: This is sick,sick, sick code. Rewrite me. | |
3471 | */ | |
0f2d19dd | 3472 | SCM |
6e8d25a6 | 3473 | scm_difference (SCM x, SCM y) |
0f2d19dd | 3474 | { |
c209c88e | 3475 | long int cx = 0; |
f872b822 MD |
3476 | if (SCM_NINUMP (x)) |
3477 | { | |
c209c88e | 3478 | if (!SCM_NIMP (x)) |
f872b822 | 3479 | { |
0e3aa89f MD |
3480 | if (SCM_UNBNDP (y)) |
3481 | { | |
73ef98d6 MD |
3482 | SCM_GASSERT0 (!SCM_UNBNDP (x), g_difference, |
3483 | scm_makfrom0str (s_difference), SCM_WNA, 0); | |
0e3aa89f MD |
3484 | badx: |
3485 | SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference); | |
3486 | } | |
3487 | else | |
3488 | { | |
3489 | badx2: | |
3490 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference); | |
3491 | } | |
f872b822 | 3492 | } |
f872b822 MD |
3493 | if (SCM_UNBNDP (y)) |
3494 | { | |
3495 | #ifdef SCM_BIGDIG | |
3496 | if (SCM_BIGP (x)) | |
3497 | { | |
3498 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3499 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3500 | <= sizeof (SCM) | |
3501 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3502 | : x); | |
3503 | } | |
3504 | #endif | |
f3ae5d60 MD |
3505 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
3506 | if (SCM_SLOPPY_REALP (x)) | |
3507 | return scm_make_real (- SCM_REAL_VALUE (x)); | |
3508 | else | |
3509 | return scm_make_complex (- SCM_COMPLEX_REAL (x), | |
3510 | - SCM_COMPLEX_IMAG (x)); | |
f872b822 MD |
3511 | } |
3512 | if (SCM_INUMP (y)) | |
3513 | return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y))); | |
3514 | #ifdef SCM_BIGDIG | |
3515 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3516 | if (SCM_BIGP (x)) | |
3517 | { | |
3518 | if (SCM_BIGP (y)) | |
3519 | return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3520 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3521 | SCM_BIGSIGN (x), | |
f3ae5d60 | 3522 | y, SCM_BIGSIGNFLAG) |
f872b822 | 3523 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), |
f3ae5d60 | 3524 | SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, |
f872b822 | 3525 | x, 0)); |
f3ae5d60 MD |
3526 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3527 | if (SCM_REALP (y)) | |
3528 | return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y)); | |
3529 | else | |
3530 | return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y), | |
3531 | - SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3532 | } |
f3ae5d60 | 3533 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 | 3534 | if (SCM_BIGP (y)) |
f872b822 | 3535 | { |
f3ae5d60 MD |
3536 | if (SCM_REALP (x)) |
3537 | return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y)); | |
f872b822 | 3538 | else |
f3ae5d60 MD |
3539 | return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y), |
3540 | SCM_COMPLEX_IMAG (x)); | |
f872b822 | 3541 | } |
f3ae5d60 MD |
3542 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3543 | #else | |
3544 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); | |
3545 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); | |
3546 | #endif | |
3547 | { | |
3548 | SCM z; | |
3549 | if (SCM_SLOPPY_COMPLEXP (x)) | |
3550 | { | |
3551 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3552 | SCM_NEWCOMPLEX (z, | |
3553 | SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y), | |
3554 | SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y)); | |
3555 | else | |
3556 | SCM_NEWCOMPLEX (z, | |
3557 | SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y), | |
3558 | SCM_COMPLEX_IMAG (x)); | |
3559 | } | |
3560 | else | |
3561 | { | |
3562 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3563 | SCM_NEWCOMPLEX (z, | |
3564 | SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y), | |
3565 | - SCM_COMPLEX_IMAG (y)); | |
3566 | else | |
3567 | SCM_NEWREAL (z, SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y)); | |
3568 | } | |
3569 | return z; | |
3570 | } | |
f872b822 MD |
3571 | } |
3572 | if (SCM_UNBNDP (y)) | |
3573 | { | |
c209c88e | 3574 | cx = -SCM_INUM (x); |
f872b822 MD |
3575 | goto checkx; |
3576 | } | |
3577 | if (SCM_NINUMP (y)) | |
3578 | { | |
3579 | #ifdef SCM_BIGDIG | |
3580 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3581 | if (SCM_BIGP (y)) | |
3582 | { | |
3583 | #ifndef SCM_DIGSTOOBIG | |
3584 | long z = scm_pseudolong (SCM_INUM (x)); | |
3585 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
f3ae5d60 MD |
3586 | (x < 0) ? SCM_BIGSIGNFLAG : 0, |
3587 | y, SCM_BIGSIGNFLAG); | |
f872b822 MD |
3588 | #else |
3589 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3590 | scm_longdigs (SCM_INUM (x), zdigs); | |
f3ae5d60 MD |
3591 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (x < 0) ? SCM_BIGSIGNFLAG : 0, |
3592 | y, SCM_BIGSIGNFLAG); | |
f872b822 MD |
3593 | #endif |
3594 | } | |
f3ae5d60 | 3595 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3596 | { |
3597 | bady: | |
9de33deb | 3598 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3599 | } |
f872b822 | 3600 | #else |
f3ae5d60 | 3601 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3602 | { |
3603 | bady: | |
9de33deb | 3604 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3605 | } |
f872b822 MD |
3606 | #endif |
3607 | return scm_makdbl (SCM_INUM (x) - SCM_REALPART (y), | |
f3ae5d60 | 3608 | SCM_SLOPPY_COMPLEXP (y) ? -SCM_IMAG (y) : 0.0); |
f872b822 | 3609 | } |
c209c88e | 3610 | cx = SCM_INUM (x) - SCM_INUM (y); |
0f2d19dd | 3611 | checkx: |
c209c88e GB |
3612 | if (SCM_FIXABLE (cx)) |
3613 | return SCM_MAKINUM (cx); | |
0f2d19dd | 3614 | #ifdef SCM_BIGDIG |
c209c88e | 3615 | return scm_long2big (cx); |
f872b822 | 3616 | #else |
c209c88e | 3617 | return scm_makdbl ((double) cx, 0.0); |
0f2d19dd JB |
3618 | #endif |
3619 | } | |
3620 | ||
3621 | ||
3622 | ||
3623 | ||
9de33deb | 3624 | SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product); |
1cc91f1b | 3625 | |
0f2d19dd | 3626 | SCM |
6e8d25a6 | 3627 | scm_product (SCM x, SCM y) |
0f2d19dd | 3628 | { |
f872b822 MD |
3629 | if (SCM_UNBNDP (y)) |
3630 | { | |
3631 | if (SCM_UNBNDP (x)) | |
3632 | return SCM_MAKINUM (1L); | |
0e3aa89f | 3633 | SCM_GASSERT1 (SCM_NUMBERP (x), g_product, x, SCM_ARG1, s_product); |
f872b822 MD |
3634 | return x; |
3635 | } | |
f872b822 MD |
3636 | if (SCM_NINUMP (x)) |
3637 | { | |
3638 | SCM t; | |
3639 | #ifdef SCM_BIGDIG | |
0e3aa89f MD |
3640 | if (!SCM_NIMP (x)) |
3641 | { | |
3642 | badx2: | |
3643 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product); | |
3644 | } | |
f872b822 MD |
3645 | if (SCM_BIGP (x)) |
3646 | { | |
3647 | if (SCM_INUMP (y)) | |
3648 | { | |
3649 | t = x; | |
3650 | x = y; | |
3651 | y = t; | |
3652 | goto intbig; | |
3653 | } | |
3654 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3655 | if (SCM_BIGP (y)) | |
3656 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3657 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3658 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
f3ae5d60 | 3659 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 MD |
3660 | bigreal: |
3661 | { | |
3662 | double bg = scm_big2dbl (x); | |
3663 | return scm_makdbl (bg * SCM_REALPART (y), | |
f3ae5d60 | 3664 | SCM_SLOPPY_COMPLEXP (y) ? bg * SCM_IMAG (y) : 0.0); |
f872b822 MD |
3665 | } |
3666 | } | |
f3ae5d60 | 3667 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 | 3668 | #else |
f3ae5d60 | 3669 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 MD |
3670 | #endif |
3671 | if (SCM_INUMP (y)) | |
3672 | { | |
3673 | t = x; | |
3674 | x = y; | |
3675 | y = t; | |
3676 | goto intreal; | |
3677 | } | |
3678 | #ifdef SCM_BIGDIG | |
3679 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3680 | if (SCM_BIGP (y)) | |
3681 | { | |
3682 | t = x; | |
3683 | x = y; | |
3684 | y = t; | |
3685 | goto bigreal; | |
3686 | } | |
f3ae5d60 | 3687 | else if (!(SCM_SLOPPY_INEXACTP (y))) |
f872b822 MD |
3688 | { |
3689 | bady: | |
9de33deb | 3690 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3691 | } |
f872b822 | 3692 | #else |
f3ae5d60 | 3693 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3694 | { |
3695 | bady: | |
9de33deb | 3696 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); |
f872b822 | 3697 | } |
f872b822 | 3698 | #endif |
f3ae5d60 | 3699 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 | 3700 | { |
f3ae5d60 | 3701 | if (SCM_SLOPPY_COMPLEXP (y)) |
f872b822 MD |
3702 | return scm_makdbl (SCM_REAL (x) * SCM_REAL (y) |
3703 | - SCM_IMAG (x) * SCM_IMAG (y), | |
3704 | SCM_REAL (x) * SCM_IMAG (y) | |
3705 | + SCM_IMAG (x) * SCM_REAL (y)); | |
3706 | else | |
3707 | return scm_makdbl (SCM_REAL (x) * SCM_REALPART (y), | |
3708 | SCM_IMAG (x) * SCM_REALPART (y)); | |
3709 | } | |
3710 | return scm_makdbl (SCM_REALPART (x) * SCM_REALPART (y), | |
f3ae5d60 | 3711 | SCM_SLOPPY_COMPLEXP (y) |
f872b822 MD |
3712 | ? SCM_REALPART (x) * SCM_IMAG (y) |
3713 | : 0.0); | |
3714 | } | |
3715 | if (SCM_NINUMP (y)) | |
3716 | { | |
3717 | #ifdef SCM_BIGDIG | |
3718 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3719 | if (SCM_BIGP (y)) | |
3720 | { | |
3721 | intbig: | |
3722 | if (SCM_INUM0 == x) | |
3723 | return x; | |
3724 | if (SCM_MAKINUM (1L) == x) | |
3725 | return y; | |
3726 | { | |
3727 | #ifndef SCM_DIGSTOOBIG | |
3728 | long z = scm_pseudolong (SCM_INUM (x)); | |
3729 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3730 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3731 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3732 | #else | |
3733 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3734 | scm_longdigs (SCM_INUM (x), zdigs); | |
3735 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3736 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3737 | SCM_BIGSIGN (y) ? (x > 0) : (x < 0)); | |
3738 | #endif | |
3739 | } | |
3740 | } | |
f3ae5d60 | 3741 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3742 | #else |
f3ae5d60 | 3743 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 MD |
3744 | #endif |
3745 | intreal: | |
3746 | return scm_makdbl (SCM_INUM (x) * SCM_REALPART (y), | |
f3ae5d60 | 3747 | SCM_SLOPPY_COMPLEXP (y) ? SCM_INUM (x) * SCM_IMAG (y) : 0.0); |
f872b822 | 3748 | } |
0f2d19dd JB |
3749 | { |
3750 | long i, j, k; | |
f872b822 MD |
3751 | i = SCM_INUM (x); |
3752 | if (0 == i) | |
3753 | return x; | |
3754 | j = SCM_INUM (y); | |
0f2d19dd | 3755 | k = i * j; |
f872b822 MD |
3756 | y = SCM_MAKINUM (k); |
3757 | if (k != SCM_INUM (y) || k / i != j) | |
3758 | #ifdef SCM_BIGDIG | |
3759 | { | |
3760 | int sgn = (i < 0) ^ (j < 0); | |
3761 | #ifndef SCM_DIGSTOOBIG | |
3762 | i = scm_pseudolong (i); | |
3763 | j = scm_pseudolong (j); | |
3764 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, | |
3765 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
3766 | #else /* SCM_DIGSTOOBIG */ | |
0f2d19dd JB |
3767 | SCM_BIGDIG idigs[SCM_DIGSPERLONG]; |
3768 | SCM_BIGDIG jdigs[SCM_DIGSPERLONG]; | |
f872b822 MD |
3769 | scm_longdigs (i, idigs); |
3770 | scm_longdigs (j, jdigs); | |
3771 | return scm_mulbig (idigs, SCM_DIGSPERLONG, | |
3772 | jdigs, SCM_DIGSPERLONG, | |
3773 | sgn); | |
3774 | #endif | |
0f2d19dd JB |
3775 | } |
3776 | #else | |
f872b822 | 3777 | return scm_makdbl (((double) i) * ((double) j), 0.0); |
0f2d19dd JB |
3778 | #endif |
3779 | return y; | |
3780 | } | |
3781 | } | |
3782 | ||
3783 | ||
1cc91f1b | 3784 | |
0f2d19dd | 3785 | double |
6e8d25a6 | 3786 | scm_num2dbl (SCM a, const char *why) |
0f2d19dd JB |
3787 | { |
3788 | if (SCM_INUMP (a)) | |
3789 | return (double) SCM_INUM (a); | |
0f2d19dd | 3790 | SCM_ASSERT (SCM_NIMP (a), a, "wrong type argument", why); |
f3ae5d60 | 3791 | if (SCM_SLOPPY_REALP (a)) |
0f2d19dd | 3792 | return (SCM_REALPART (a)); |
0f2d19dd JB |
3793 | #ifdef SCM_BIGDIG |
3794 | return scm_big2dbl (a); | |
3795 | #endif | |
3796 | SCM_ASSERT (0, a, "wrong type argument", why); | |
c209c88e GB |
3797 | /* |
3798 | unreachable, hopefully. | |
3799 | */ | |
3800 | return (double) 0.0; /* ugh. */ | |
3801 | /* return SCM_UNSPECIFIED; */ | |
0f2d19dd JB |
3802 | } |
3803 | ||
3804 | ||
9de33deb | 3805 | SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide); |
1cc91f1b | 3806 | |
0f2d19dd | 3807 | SCM |
6e8d25a6 | 3808 | scm_divide (SCM x, SCM y) |
0f2d19dd | 3809 | { |
0f2d19dd | 3810 | double d, r, i, a; |
f872b822 MD |
3811 | if (SCM_NINUMP (x)) |
3812 | { | |
f872b822 MD |
3813 | if (!(SCM_NIMP (x))) |
3814 | { | |
0e3aa89f MD |
3815 | if (SCM_UNBNDP (y)) |
3816 | { | |
73ef98d6 MD |
3817 | SCM_GASSERT0 (!SCM_UNBNDP (x), |
3818 | g_divide, scm_makfrom0str (s_divide), SCM_WNA, 0); | |
0e3aa89f MD |
3819 | badx: |
3820 | SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide); | |
3821 | } | |
3822 | else | |
3823 | { | |
3824 | badx2: | |
3825 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide); | |
3826 | } | |
f872b822 | 3827 | } |
f872b822 MD |
3828 | if (SCM_UNBNDP (y)) |
3829 | { | |
3830 | #ifdef SCM_BIGDIG | |
3831 | if (SCM_BIGP (x)) | |
3832 | return scm_makdbl (1.0 / scm_big2dbl (x), 0.0); | |
3833 | #endif | |
f3ae5d60 MD |
3834 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
3835 | if (SCM_SLOPPY_REALP (x)) | |
f872b822 MD |
3836 | return scm_makdbl (1.0 / SCM_REALPART (x), 0.0); |
3837 | r = SCM_REAL (x); | |
3838 | i = SCM_IMAG (x); | |
3839 | d = r * r + i * i; | |
3840 | return scm_makdbl (r / d, -i / d); | |
3841 | } | |
3842 | #ifdef SCM_BIGDIG | |
3843 | if (SCM_BIGP (x)) | |
3844 | { | |
f872b822 MD |
3845 | if (SCM_INUMP (y)) |
3846 | { | |
c209c88e | 3847 | long int z = SCM_INUM (y); |
f872b822 MD |
3848 | #ifndef SCM_RECKLESS |
3849 | if (!z) | |
3850 | scm_num_overflow (s_divide); | |
3851 | #endif | |
3852 | if (1 == z) | |
3853 | return x; | |
3854 | if (z < 0) | |
3855 | z = -z; | |
3856 | if (z < SCM_BIGRAD) | |
3857 | { | |
3858 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0)); | |
3859 | return (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
3860 | (SCM_BIGDIG) z) | |
3861 | ? scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0) | |
3862 | : scm_normbig (w)); | |
3863 | } | |
3864 | #ifndef SCM_DIGSTOOBIG | |
c209c88e | 3865 | /*ugh! Does anyone know what this is supposed to do?*/ |
f872b822 | 3866 | z = scm_pseudolong (z); |
c209c88e GB |
3867 | z = SCM_INUM(scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
3868 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3869 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3)); | |
f872b822 MD |
3870 | #else |
3871 | { | |
3872 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
3873 | scm_longdigs (z, zdigs); | |
3874 | z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3875 | zdigs, SCM_DIGSPERLONG, | |
3876 | SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3); | |
3877 | } | |
3878 | #endif | |
f1267706 | 3879 | return z ? SCM_PACK (z) : scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0); |
f872b822 MD |
3880 | } |
3881 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3882 | if (SCM_BIGP (y)) | |
3883 | { | |
c209c88e | 3884 | SCM z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), |
f872b822 MD |
3885 | SCM_BDIGITS (y), SCM_NUMDIGS (y), |
3886 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
3887 | return z ? z : scm_makdbl (scm_big2dbl (x) / scm_big2dbl (y), | |
3888 | 0.0); | |
3889 | } | |
f3ae5d60 MD |
3890 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3891 | if (SCM_SLOPPY_REALP (y)) | |
f872b822 MD |
3892 | return scm_makdbl (scm_big2dbl (x) / SCM_REALPART (y), 0.0); |
3893 | a = scm_big2dbl (x); | |
3894 | goto complex_div; | |
3895 | } | |
3896 | #endif | |
f3ae5d60 | 3897 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 MD |
3898 | if (SCM_INUMP (y)) |
3899 | { | |
3900 | d = SCM_INUM (y); | |
3901 | goto basic_div; | |
3902 | } | |
3903 | #ifdef SCM_BIGDIG | |
3904 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3905 | if (SCM_BIGP (y)) | |
3906 | { | |
3907 | d = scm_big2dbl (y); | |
3908 | goto basic_div; | |
3909 | } | |
f3ae5d60 | 3910 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3911 | #else |
f3ae5d60 | 3912 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3913 | #endif |
f3ae5d60 | 3914 | if (SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3915 | { |
3916 | d = SCM_REALPART (y); | |
3917 | basic_div: | |
3918 | return scm_makdbl (SCM_REALPART (x) / d, | |
f3ae5d60 | 3919 | SCM_SLOPPY_COMPLEXP (x) ? SCM_IMAG (x) / d : 0.0); |
f872b822 MD |
3920 | } |
3921 | a = SCM_REALPART (x); | |
f3ae5d60 | 3922 | if (SCM_SLOPPY_REALP (x)) |
f872b822 MD |
3923 | goto complex_div; |
3924 | r = SCM_REAL (y); | |
3925 | i = SCM_IMAG (y); | |
3926 | d = r * r + i * i; | |
3927 | return scm_makdbl ((a * r + SCM_IMAG (x) * i) / d, | |
3928 | (SCM_IMAG (x) * r - a * i) / d); | |
3929 | } | |
3930 | if (SCM_UNBNDP (y)) | |
3931 | { | |
3932 | if ((SCM_MAKINUM (1L) == x) || (SCM_MAKINUM (-1L) == x)) | |
3933 | return x; | |
3934 | return scm_makdbl (1.0 / ((double) SCM_INUM (x)), 0.0); | |
3935 | } | |
3936 | if (SCM_NINUMP (y)) | |
3937 | { | |
3938 | #ifdef SCM_BIGDIG | |
3939 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3940 | if (SCM_BIGP (y)) | |
3941 | return scm_makdbl (SCM_INUM (x) / scm_big2dbl (y), 0.0); | |
f3ae5d60 | 3942 | if (!(SCM_SLOPPY_INEXACTP (y))) |
f872b822 MD |
3943 | { |
3944 | bady: | |
9de33deb | 3945 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 3946 | } |
f872b822 | 3947 | #else |
f3ae5d60 | 3948 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3949 | { |
3950 | bady: | |
9de33deb | 3951 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); |
f872b822 | 3952 | } |
f872b822 | 3953 | #endif |
f3ae5d60 | 3954 | if (SCM_SLOPPY_REALP (y)) |
f872b822 MD |
3955 | return scm_makdbl (SCM_INUM (x) / SCM_REALPART (y), 0.0); |
3956 | a = SCM_INUM (x); | |
3957 | complex_div: | |
3958 | r = SCM_REAL (y); | |
3959 | i = SCM_IMAG (y); | |
3960 | d = r * r + i * i; | |
3961 | return scm_makdbl ((a * r) / d, (-a * i) / d); | |
3962 | } | |
0f2d19dd | 3963 | { |
f872b822 MD |
3964 | long z = SCM_INUM (y); |
3965 | if ((0 == z) || SCM_INUM (x) % z) | |
3966 | goto ov; | |
3967 | z = SCM_INUM (x) / z; | |
3968 | if (SCM_FIXABLE (z)) | |
3969 | return SCM_MAKINUM (z); | |
0f2d19dd | 3970 | #ifdef SCM_BIGDIG |
f872b822 | 3971 | return scm_long2big (z); |
0f2d19dd | 3972 | #endif |
f872b822 MD |
3973 | ov: |
3974 | return scm_makdbl (((double) SCM_INUM (x)) / ((double) SCM_INUM (y)), 0.0); | |
0f2d19dd JB |
3975 | } |
3976 | } | |
3977 | ||
3978 | ||
3979 | ||
3980 | ||
9de33deb | 3981 | SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh); |
1cc91f1b | 3982 | |
0f2d19dd | 3983 | double |
6e8d25a6 | 3984 | scm_asinh (double x) |
0f2d19dd | 3985 | { |
f872b822 | 3986 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
3987 | } |
3988 | ||
3989 | ||
3990 | ||
3991 | ||
9de33deb | 3992 | SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh); |
1cc91f1b | 3993 | |
0f2d19dd | 3994 | double |
6e8d25a6 | 3995 | scm_acosh (double x) |
0f2d19dd | 3996 | { |
f872b822 | 3997 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
3998 | } |
3999 | ||
4000 | ||
4001 | ||
4002 | ||
9de33deb | 4003 | SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh); |
1cc91f1b | 4004 | |
0f2d19dd | 4005 | double |
6e8d25a6 | 4006 | scm_atanh (double x) |
0f2d19dd | 4007 | { |
f872b822 | 4008 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
4009 | } |
4010 | ||
4011 | ||
4012 | ||
4013 | ||
9de33deb | 4014 | SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate); |
1cc91f1b | 4015 | |
0f2d19dd | 4016 | double |
6e8d25a6 | 4017 | scm_truncate (double x) |
0f2d19dd | 4018 | { |
f872b822 MD |
4019 | if (x < 0.0) |
4020 | return -floor (-x); | |
4021 | return floor (x); | |
0f2d19dd JB |
4022 | } |
4023 | ||
4024 | ||
4025 | ||
9de33deb | 4026 | SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round); |
1cc91f1b | 4027 | |
0f2d19dd | 4028 | double |
6e8d25a6 | 4029 | scm_round (double x) |
0f2d19dd JB |
4030 | { |
4031 | double plus_half = x + 0.5; | |
f872b822 | 4032 | double result = floor (plus_half); |
0f2d19dd | 4033 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 4034 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
4035 | ? result - 1 : result; |
4036 | } | |
4037 | ||
4038 | ||
4039 | ||
9de33deb | 4040 | SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact); |
1cc91f1b | 4041 | |
0f2d19dd | 4042 | double |
6e8d25a6 | 4043 | scm_exact_to_inexact (double z) |
0f2d19dd JB |
4044 | { |
4045 | return z; | |
4046 | } | |
4047 | ||
4048 | ||
9de33deb MD |
4049 | SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor); |
4050 | SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil); | |
4051 | SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt); | |
4052 | SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs); | |
4053 | SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp); | |
4054 | SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log); | |
4055 | SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin); | |
4056 | SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos); | |
4057 | SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan); | |
4058 | SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin); | |
4059 | SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos); | |
4060 | SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan); | |
4061 | SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh); | |
4062 | SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh); | |
4063 | SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh); | |
f872b822 MD |
4064 | |
4065 | struct dpair | |
4066 | { | |
4067 | double x, y; | |
4068 | }; | |
4069 | ||
3eeba8d4 JB |
4070 | static void scm_two_doubles (SCM z1, |
4071 | SCM z2, | |
4072 | const char *sstring, | |
4073 | struct dpair * xy); | |
f872b822 MD |
4074 | |
4075 | static void | |
6e8d25a6 | 4076 | scm_two_doubles (SCM z1, SCM z2, const char *sstring, struct dpair *xy) |
0f2d19dd | 4077 | { |
f872b822 MD |
4078 | if (SCM_INUMP (z1)) |
4079 | xy->x = SCM_INUM (z1); | |
4080 | else | |
4081 | { | |
4082 | #ifdef SCM_BIGDIG | |
4083 | SCM_ASRTGO (SCM_NIMP (z1), badz1); | |
4084 | if (SCM_BIGP (z1)) | |
4085 | xy->x = scm_big2dbl (z1); | |
4086 | else | |
4087 | { | |
4088 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4089 | if (!SCM_SLOPPY_REALP (z1)) |
f872b822 MD |
4090 | badz1:scm_wta (z1, (char *) SCM_ARG1, sstring); |
4091 | #endif | |
4092 | xy->x = SCM_REALPART (z1); | |
4093 | } | |
4094 | #else | |
4095 | { | |
f3ae5d60 | 4096 | SCM_ASSERT (SCM_SLOPPY_REALP (z1), z1, SCM_ARG1, sstring); |
f872b822 MD |
4097 | xy->x = SCM_REALPART (z1); |
4098 | } | |
4099 | #endif | |
4100 | } | |
4101 | if (SCM_INUMP (z2)) | |
4102 | xy->y = SCM_INUM (z2); | |
4103 | else | |
4104 | { | |
4105 | #ifdef SCM_BIGDIG | |
4106 | SCM_ASRTGO (SCM_NIMP (z2), badz2); | |
4107 | if (SCM_BIGP (z2)) | |
4108 | xy->y = scm_big2dbl (z2); | |
4109 | else | |
4110 | { | |
4111 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4112 | if (!(SCM_SLOPPY_REALP (z2))) |
f872b822 MD |
4113 | badz2:scm_wta (z2, (char *) SCM_ARG2, sstring); |
4114 | #endif | |
4115 | xy->y = SCM_REALPART (z2); | |
4116 | } | |
4117 | #else | |
4118 | { | |
f3ae5d60 | 4119 | SCM_ASSERT (SCM_SLOPPY_REALP (z2), z2, SCM_ARG2, sstring); |
f872b822 MD |
4120 | xy->y = SCM_REALPART (z2); |
4121 | } | |
4122 | #endif | |
4123 | } | |
0f2d19dd JB |
4124 | } |
4125 | ||
4126 | ||
4127 | ||
4128 | ||
a1ec6916 | 4129 | SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0, |
1bbd0b84 | 4130 | (SCM z1, SCM z2), |
b380b885 | 4131 | "") |
1bbd0b84 | 4132 | #define FUNC_NAME s_scm_sys_expt |
0f2d19dd JB |
4133 | { |
4134 | struct dpair xy; | |
1bbd0b84 | 4135 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4136 | return scm_makdbl (pow (xy.x, xy.y), 0.0); |
0f2d19dd | 4137 | } |
1bbd0b84 | 4138 | #undef FUNC_NAME |
0f2d19dd JB |
4139 | |
4140 | ||
4141 | ||
a1ec6916 | 4142 | SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0, |
1bbd0b84 | 4143 | (SCM z1, SCM z2), |
b380b885 | 4144 | "") |
1bbd0b84 | 4145 | #define FUNC_NAME s_scm_sys_atan2 |
0f2d19dd JB |
4146 | { |
4147 | struct dpair xy; | |
1bbd0b84 | 4148 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4149 | return scm_makdbl (atan2 (xy.x, xy.y), 0.0); |
0f2d19dd | 4150 | } |
1bbd0b84 | 4151 | #undef FUNC_NAME |
0f2d19dd JB |
4152 | |
4153 | ||
4154 | ||
a1ec6916 | 4155 | SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0, |
1bbd0b84 | 4156 | (SCM z1, SCM z2), |
b380b885 | 4157 | "") |
1bbd0b84 | 4158 | #define FUNC_NAME s_scm_make_rectangular |
0f2d19dd JB |
4159 | { |
4160 | struct dpair xy; | |
1bbd0b84 | 4161 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4162 | return scm_makdbl (xy.x, xy.y); |
0f2d19dd | 4163 | } |
1bbd0b84 | 4164 | #undef FUNC_NAME |
0f2d19dd JB |
4165 | |
4166 | ||
4167 | ||
a1ec6916 | 4168 | SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0, |
1bbd0b84 | 4169 | (SCM z1, SCM z2), |
b380b885 | 4170 | "") |
1bbd0b84 | 4171 | #define FUNC_NAME s_scm_make_polar |
0f2d19dd JB |
4172 | { |
4173 | struct dpair xy; | |
1bbd0b84 | 4174 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f872b822 | 4175 | return scm_makdbl (xy.x * cos (xy.y), xy.x * sin (xy.y)); |
0f2d19dd | 4176 | } |
1bbd0b84 | 4177 | #undef FUNC_NAME |
0f2d19dd JB |
4178 | |
4179 | ||
4180 | ||
4181 | ||
152f82bf | 4182 | SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part); |
1cc91f1b | 4183 | |
0f2d19dd | 4184 | SCM |
6e8d25a6 | 4185 | scm_real_part (SCM z) |
0f2d19dd | 4186 | { |
f872b822 MD |
4187 | if (SCM_NINUMP (z)) |
4188 | { | |
4189 | #ifdef SCM_BIGDIG | |
4190 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4191 | if (SCM_BIGP (z)) | |
4192 | return z; | |
f3ae5d60 | 4193 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4194 | { |
4195 | badz: | |
152f82bf | 4196 | SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4197 | } |
f872b822 | 4198 | #else |
f3ae5d60 | 4199 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4200 | g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4201 | #endif |
f3ae5d60 | 4202 | if (SCM_SLOPPY_COMPLEXP (z)) |
f872b822 MD |
4203 | return scm_makdbl (SCM_REAL (z), 0.0); |
4204 | } | |
0f2d19dd JB |
4205 | return z; |
4206 | } | |
4207 | ||
4208 | ||
4209 | ||
152f82bf | 4210 | SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part); |
1cc91f1b | 4211 | |
0f2d19dd | 4212 | SCM |
6e8d25a6 | 4213 | scm_imag_part (SCM z) |
0f2d19dd | 4214 | { |
f872b822 MD |
4215 | if (SCM_INUMP (z)) |
4216 | return SCM_INUM0; | |
4217 | #ifdef SCM_BIGDIG | |
4218 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4219 | if (SCM_BIGP (z)) | |
4220 | return SCM_INUM0; | |
f3ae5d60 | 4221 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4222 | { |
4223 | badz: | |
152f82bf | 4224 | SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4225 | } |
f872b822 | 4226 | #else |
f3ae5d60 | 4227 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4228 | g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4229 | #endif |
f3ae5d60 | 4230 | if (SCM_SLOPPY_COMPLEXP (z)) |
f872b822 | 4231 | return scm_makdbl (SCM_IMAG (z), 0.0); |
0f2d19dd JB |
4232 | return scm_flo0; |
4233 | } | |
4234 | ||
4235 | ||
4236 | ||
9de33deb | 4237 | SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude); |
1cc91f1b | 4238 | |
0f2d19dd | 4239 | SCM |
6e8d25a6 | 4240 | scm_magnitude (SCM z) |
0f2d19dd | 4241 | { |
f872b822 MD |
4242 | if (SCM_INUMP (z)) |
4243 | return scm_abs (z); | |
4244 | #ifdef SCM_BIGDIG | |
4245 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4246 | if (SCM_BIGP (z)) | |
4247 | return scm_abs (z); | |
f3ae5d60 | 4248 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4249 | { |
4250 | badz: | |
9de33deb | 4251 | SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4252 | } |
f872b822 | 4253 | #else |
f3ae5d60 | 4254 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
9de33deb | 4255 | g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4256 | #endif |
f3ae5d60 | 4257 | if (SCM_SLOPPY_COMPLEXP (z)) |
0f2d19dd | 4258 | { |
f872b822 MD |
4259 | double i = SCM_IMAG (z), r = SCM_REAL (z); |
4260 | return scm_makdbl (sqrt (i * i + r * r), 0.0); | |
0f2d19dd | 4261 | } |
f872b822 | 4262 | return scm_makdbl (fabs (SCM_REALPART (z)), 0.0); |
0f2d19dd JB |
4263 | } |
4264 | ||
4265 | ||
4266 | ||
4267 | ||
9de33deb | 4268 | SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle); |
1cc91f1b | 4269 | |
0f2d19dd | 4270 | SCM |
6e8d25a6 | 4271 | scm_angle (SCM z) |
0f2d19dd JB |
4272 | { |
4273 | double x, y = 0.0; | |
f872b822 MD |
4274 | if (SCM_INUMP (z)) |
4275 | { | |
4276 | x = (z >= SCM_INUM0) ? 1.0 : -1.0; | |
4277 | goto do_angle; | |
4278 | } | |
4279 | #ifdef SCM_BIGDIG | |
4280 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4281 | if (SCM_BIGP (z)) | |
4282 | { | |
f3ae5d60 | 4283 | x = (SCM_BIGSIGN (z)) ? -1.0 : 1.0; |
f872b822 MD |
4284 | goto do_angle; |
4285 | } | |
f3ae5d60 | 4286 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4287 | { |
4288 | badz: | |
9de33deb | 4289 | SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle); |
f872b822 | 4290 | } |
f872b822 | 4291 | #else |
f3ae5d60 | 4292 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), g_angle, z, SCM_ARG1, s_angle); |
f872b822 | 4293 | #endif |
f3ae5d60 | 4294 | if (SCM_SLOPPY_REALP (z)) |
f872b822 MD |
4295 | { |
4296 | x = SCM_REALPART (z); | |
0f2d19dd JB |
4297 | goto do_angle; |
4298 | } | |
f872b822 MD |
4299 | x = SCM_REAL (z); |
4300 | y = SCM_IMAG (z); | |
0f2d19dd | 4301 | do_angle: |
f872b822 | 4302 | return scm_makdbl (atan2 (y, x), 0.0); |
0f2d19dd JB |
4303 | } |
4304 | ||
4305 | ||
a1ec6916 | 4306 | SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0, |
1bbd0b84 | 4307 | (SCM z), |
b380b885 | 4308 | "") |
1bbd0b84 | 4309 | #define FUNC_NAME s_scm_inexact_to_exact |
0f2d19dd | 4310 | { |
f872b822 MD |
4311 | if (SCM_INUMP (z)) |
4312 | return z; | |
4313 | #ifdef SCM_BIGDIG | |
4314 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4315 | if (SCM_BIGP (z)) | |
4316 | return z; | |
4317 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4318 | if (!(SCM_SLOPPY_REALP (z))) |
f872b822 MD |
4319 | { |
4320 | badz: | |
4638e087 | 4321 | SCM_WTA (1, z); |
f872b822 MD |
4322 | } |
4323 | #endif | |
4324 | #else | |
3b3b36dd | 4325 | SCM_VALIDATE_REAL (1,z); |
f872b822 MD |
4326 | #endif |
4327 | #ifdef SCM_BIGDIG | |
0f2d19dd | 4328 | { |
f872b822 MD |
4329 | double u = floor (SCM_REALPART (z) + 0.5); |
4330 | if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM)) | |
4331 | { | |
4332 | /* Negation is a workaround for HP700 cc bug */ | |
4333 | SCM ans = SCM_MAKINUM ((long) u); | |
4334 | if (SCM_INUM (ans) == (long) u) | |
4335 | return ans; | |
4336 | } | |
e6f3ef58 | 4337 | SCM_ASRTGO (isfinite (u), badz); /* problem? */ |
f872b822 | 4338 | return scm_dbl2big (u); |
0f2d19dd | 4339 | } |
f872b822 MD |
4340 | #else |
4341 | return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5)); | |
4342 | #endif | |
0f2d19dd | 4343 | } |
1bbd0b84 | 4344 | #undef FUNC_NAME |
0f2d19dd JB |
4345 | |
4346 | ||
4347 | ||
0f2d19dd | 4348 | #ifdef SCM_BIGDIG |
0f2d19dd | 4349 | /* d must be integer */ |
1cc91f1b | 4350 | |
0f2d19dd | 4351 | SCM |
6e8d25a6 | 4352 | scm_dbl2big (double d) |
0f2d19dd JB |
4353 | { |
4354 | scm_sizet i = 0; | |
4355 | long c; | |
4356 | SCM_BIGDIG *digits; | |
4357 | SCM ans; | |
f872b822 MD |
4358 | double u = (d < 0) ? -d : d; |
4359 | while (0 != floor (u)) | |
4360 | { | |
4361 | u /= SCM_BIGRAD; | |
4362 | i++; | |
4363 | } | |
4364 | ans = scm_mkbig (i, d < 0); | |
4365 | digits = SCM_BDIGITS (ans); | |
4366 | while (i--) | |
4367 | { | |
4368 | u *= SCM_BIGRAD; | |
4369 | c = floor (u); | |
4370 | u -= c; | |
4371 | digits[i] = c; | |
4372 | } | |
cf7c17e9 | 4373 | #ifndef SCM_RECKLESS |
e1724d20 | 4374 | if (u != 0) |
52859adf | 4375 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4376 | #endif |
0f2d19dd JB |
4377 | return ans; |
4378 | } | |
4379 | ||
4380 | ||
4381 | ||
0f2d19dd | 4382 | double |
6e8d25a6 | 4383 | scm_big2dbl (SCM b) |
0f2d19dd JB |
4384 | { |
4385 | double ans = 0.0; | |
f872b822 MD |
4386 | scm_sizet i = SCM_NUMDIGS (b); |
4387 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4388 | while (i--) | |
4389 | ans = digits[i] + SCM_BIGRAD * ans; | |
f3ae5d60 MD |
4390 | if (SCM_BIGSIGN (b)) |
4391 | return - ans; | |
0f2d19dd JB |
4392 | return ans; |
4393 | } | |
f872b822 | 4394 | #endif |
0f2d19dd | 4395 | |
1cc91f1b | 4396 | |
0f2d19dd | 4397 | SCM |
6e8d25a6 | 4398 | scm_long2num (long sl) |
0f2d19dd | 4399 | { |
f872b822 MD |
4400 | if (!SCM_FIXABLE (sl)) |
4401 | { | |
0f2d19dd | 4402 | #ifdef SCM_BIGDIG |
f872b822 | 4403 | return scm_long2big (sl); |
0f2d19dd | 4404 | #else |
f872b822 | 4405 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4406 | #endif |
4407 | } | |
4408 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4409 | } |
4410 | ||
4411 | ||
5c11cc9d | 4412 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4413 | |
0f2d19dd | 4414 | SCM |
6e8d25a6 | 4415 | scm_long_long2num (long_long sl) |
0f2d19dd | 4416 | { |
f872b822 MD |
4417 | if (!SCM_FIXABLE (sl)) |
4418 | { | |
0f2d19dd | 4419 | #ifdef SCM_BIGDIG |
f872b822 | 4420 | return scm_long_long2big (sl); |
0f2d19dd | 4421 | #else |
f872b822 | 4422 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4423 | #endif |
4424 | } | |
f2961ccd DH |
4425 | else |
4426 | { | |
4427 | /* we know that sl fits into an inum */ | |
4428 | return SCM_MAKINUM ((scm_bits_t) sl); | |
4429 | } | |
0f2d19dd JB |
4430 | } |
4431 | #endif | |
4432 | ||
4433 | ||
1cc91f1b | 4434 | |
0f2d19dd | 4435 | SCM |
6e8d25a6 | 4436 | scm_ulong2num (unsigned long sl) |
0f2d19dd | 4437 | { |
f872b822 MD |
4438 | if (!SCM_POSFIXABLE (sl)) |
4439 | { | |
0f2d19dd | 4440 | #ifdef SCM_BIGDIG |
f872b822 | 4441 | return scm_ulong2big (sl); |
0f2d19dd | 4442 | #else |
f872b822 | 4443 | return scm_makdbl ((double) sl, 0.0); |
f872b822 MD |
4444 | #endif |
4445 | } | |
4446 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4447 | } |
4448 | ||
1cc91f1b | 4449 | |
0f2d19dd | 4450 | long |
6e8d25a6 | 4451 | scm_num2long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4452 | { |
4453 | long res; | |
5c11cc9d | 4454 | |
f872b822 | 4455 | if (SCM_INUMP (num)) |
0f2d19dd | 4456 | { |
f872b822 | 4457 | res = SCM_INUM (num); |
0f2d19dd JB |
4458 | return res; |
4459 | } | |
5c11cc9d | 4460 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4461 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4462 | { |
5c11cc9d GH |
4463 | volatile double u = SCM_REALPART (num); |
4464 | ||
0f2d19dd | 4465 | res = u; |
5c11cc9d GH |
4466 | if (res != u) |
4467 | goto out_of_range; | |
4468 | return res; | |
0f2d19dd | 4469 | } |
0f2d19dd | 4470 | #ifdef SCM_BIGDIG |
f872b822 MD |
4471 | if (SCM_BIGP (num)) |
4472 | { | |
5c11cc9d | 4473 | unsigned long oldres = 0; |
f872b822 | 4474 | scm_sizet l; |
5c11cc9d GH |
4475 | /* can't use res directly in case num is -2^31. */ |
4476 | unsigned long pos_res = 0; | |
4477 | ||
f872b822 MD |
4478 | for (l = SCM_NUMDIGS (num); l--;) |
4479 | { | |
5c11cc9d GH |
4480 | pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l]; |
4481 | /* check for overflow. */ | |
4482 | if (pos_res < oldres) | |
4483 | goto out_of_range; | |
4484 | oldres = pos_res; | |
f872b822 | 4485 | } |
f3ae5d60 | 4486 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4487 | { |
f3ae5d60 MD |
4488 | res = - pos_res; |
4489 | if (res > 0) | |
5c11cc9d GH |
4490 | goto out_of_range; |
4491 | } | |
f872b822 | 4492 | else |
5c11cc9d | 4493 | { |
f3ae5d60 MD |
4494 | res = pos_res; |
4495 | if (res < 0) | |
5c11cc9d GH |
4496 | goto out_of_range; |
4497 | } | |
4498 | return res; | |
f872b822 | 4499 | } |
0f2d19dd | 4500 | #endif |
5c11cc9d GH |
4501 | wrong_type_arg: |
4502 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4503 | out_of_range: | |
4504 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4505 | } |
4506 | ||
4507 | ||
4508 | ||
5c11cc9d | 4509 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4510 | |
0f2d19dd | 4511 | long_long |
6e8d25a6 | 4512 | scm_num2long_long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4513 | { |
4514 | long_long res; | |
5c11cc9d | 4515 | |
f872b822 MD |
4516 | if (SCM_INUMP (num)) |
4517 | { | |
5c11cc9d | 4518 | res = SCM_INUM (num); |
0f2d19dd JB |
4519 | return res; |
4520 | } | |
5c11cc9d | 4521 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4522 | if (SCM_SLOPPY_REALP (num)) |
f872b822 MD |
4523 | { |
4524 | double u = SCM_REALPART (num); | |
5c11cc9d GH |
4525 | |
4526 | res = u; | |
4527 | if ((res < 0 && u > 0) || (res > 0 && u < 0)) /* check for overflow. */ | |
4528 | goto out_of_range; | |
4529 | ||
4530 | return res; | |
f872b822 | 4531 | } |
0f2d19dd | 4532 | #ifdef SCM_BIGDIG |
f872b822 MD |
4533 | if (SCM_BIGP (num)) |
4534 | { | |
5c11cc9d GH |
4535 | unsigned long long oldres = 0; |
4536 | scm_sizet l; | |
4537 | /* can't use res directly in case num is -2^63. */ | |
4538 | unsigned long long pos_res = 0; | |
4539 | ||
4540 | for (l = SCM_NUMDIGS (num); l--;) | |
4541 | { | |
4542 | pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4543 | /* check for overflow. */ | |
4544 | if (pos_res < oldres) | |
4545 | goto out_of_range; | |
4546 | oldres = pos_res; | |
4547 | } | |
f3ae5d60 | 4548 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4549 | { |
f3ae5d60 MD |
4550 | res = - pos_res; |
4551 | if (res > 0) | |
5c11cc9d GH |
4552 | goto out_of_range; |
4553 | } | |
4554 | else | |
4555 | { | |
f3ae5d60 MD |
4556 | res = pos_res; |
4557 | if (res < 0) | |
5c11cc9d GH |
4558 | goto out_of_range; |
4559 | } | |
f872b822 MD |
4560 | return res; |
4561 | } | |
0f2d19dd | 4562 | #endif |
5c11cc9d GH |
4563 | wrong_type_arg: |
4564 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4565 | out_of_range: | |
4566 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4567 | } |
4568 | #endif | |
4569 | ||
4570 | ||
1cc91f1b | 4571 | |
0f2d19dd | 4572 | unsigned long |
6e8d25a6 | 4573 | scm_num2ulong (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4574 | { |
4575 | unsigned long res; | |
5c11cc9d | 4576 | |
f872b822 | 4577 | if (SCM_INUMP (num)) |
0f2d19dd | 4578 | { |
5c11cc9d GH |
4579 | if (SCM_INUM (num) < 0) |
4580 | goto out_of_range; | |
4581 | res = SCM_INUM (num); | |
0f2d19dd JB |
4582 | return res; |
4583 | } | |
5c11cc9d | 4584 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4585 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4586 | { |
f872b822 | 4587 | double u = SCM_REALPART (num); |
5c11cc9d GH |
4588 | |
4589 | res = u; | |
4590 | if (res != u) | |
4591 | goto out_of_range; | |
4592 | return res; | |
0f2d19dd | 4593 | } |
0f2d19dd | 4594 | #ifdef SCM_BIGDIG |
f872b822 MD |
4595 | if (SCM_BIGP (num)) |
4596 | { | |
5c11cc9d | 4597 | unsigned long oldres = 0; |
f872b822 | 4598 | scm_sizet l; |
5c11cc9d | 4599 | |
f872b822 | 4600 | res = 0; |
f872b822 MD |
4601 | for (l = SCM_NUMDIGS (num); l--;) |
4602 | { | |
4603 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4604 | if (res < oldres) | |
5c11cc9d | 4605 | goto out_of_range; |
f872b822 MD |
4606 | oldres = res; |
4607 | } | |
4608 | return res; | |
4609 | } | |
0f2d19dd | 4610 | #endif |
5c11cc9d GH |
4611 | wrong_type_arg: |
4612 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4613 | out_of_range: | |
4614 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4615 | } |
4616 | ||
4617 | ||
f872b822 | 4618 | #ifndef DBL_DIG |
f872b822 | 4619 | static void |
6e8d25a6 | 4620 | add1 (double f, double *fsum) |
0f2d19dd JB |
4621 | { |
4622 | *fsum = f + 1.0; | |
4623 | } | |
f872b822 | 4624 | #endif |
0f2d19dd JB |
4625 | |
4626 | ||
1cc91f1b | 4627 | |
0f2d19dd JB |
4628 | void |
4629 | scm_init_numbers () | |
0f2d19dd | 4630 | { |
f3ae5d60 MD |
4631 | scm_add_feature ("complex"); |
4632 | scm_add_feature ("inexact"); | |
4633 | SCM_NEWREAL (scm_flo0, 0.0); | |
f872b822 | 4634 | #ifdef DBL_DIG |
0f2d19dd | 4635 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 4636 | #else |
0f2d19dd JB |
4637 | { /* determine floating point precision */ |
4638 | double f = 0.1; | |
f872b822 MD |
4639 | double fsum = 1.0 + f; |
4640 | while (fsum != 1.0) | |
4641 | { | |
4642 | f /= 10.0; | |
4643 | if (++scm_dblprec > 20) | |
4644 | break; | |
4645 | add1 (f, &fsum); | |
4646 | } | |
4647 | scm_dblprec = scm_dblprec - 1; | |
0f2d19dd | 4648 | } |
f872b822 | 4649 | #endif /* DBL_DIG */ |
0f2d19dd JB |
4650 | #include "numbers.x" |
4651 | } | |
89e00824 ML |
4652 | |
4653 | /* | |
4654 | Local Variables: | |
4655 | c-file-style: "gnu" | |
4656 | End: | |
4657 | */ |