Commit | Line | Data |
---|---|---|
f81e080b DH |
1 | /* Copyright (C) 1995,1996,1997,1998,1999,2000 Free Software Foundation, Inc. |
2 | * | |
0f2d19dd JB |
3 | * This program is free software; you can redistribute it and/or modify |
4 | * it under the terms of the GNU General Public License as published by | |
5 | * the Free Software Foundation; either version 2, or (at your option) | |
6 | * any later version. | |
7 | * | |
8 | * This program is distributed in the hope that it will be useful, | |
9 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
10 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
11 | * GNU General Public License for more details. | |
12 | * | |
13 | * You should have received a copy of the GNU General Public License | |
14 | * along with this software; see the file COPYING. If not, write to | |
82892bed JB |
15 | * the Free Software Foundation, Inc., 59 Temple Place, Suite 330, |
16 | * Boston, MA 02111-1307 USA | |
0f2d19dd JB |
17 | * |
18 | * As a special exception, the Free Software Foundation gives permission | |
19 | * for additional uses of the text contained in its release of GUILE. | |
20 | * | |
21 | * The exception is that, if you link the GUILE library with other files | |
22 | * to produce an executable, this does not by itself cause the | |
23 | * resulting executable to be covered by the GNU General Public License. | |
24 | * Your use of that executable is in no way restricted on account of | |
25 | * linking the GUILE library code into it. | |
26 | * | |
27 | * This exception does not however invalidate any other reasons why | |
28 | * the executable file might be covered by the GNU General Public License. | |
29 | * | |
30 | * This exception applies only to the code released by the | |
31 | * Free Software Foundation under the name GUILE. If you copy | |
32 | * code from other Free Software Foundation releases into a copy of | |
33 | * GUILE, as the General Public License permits, the exception does | |
34 | * not apply to the code that you add in this way. To avoid misleading | |
35 | * anyone as to the status of such modified files, you must delete | |
36 | * this exception notice from them. | |
37 | * | |
38 | * If you write modifications of your own for GUILE, it is your choice | |
39 | * whether to permit this exception to apply to your modifications. | |
82892bed | 40 | * If you do not wish that, delete this exception notice. */ |
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> | |
a0599745 | 49 | #include "libguile/_scm.h" |
a0599745 MD |
50 | #include "libguile/feature.h" |
51 | #include "libguile/ports.h" | |
52 | #include "libguile/root.h" | |
53 | #include "libguile/smob.h" | |
54 | #include "libguile/strings.h" | |
a0599745 MD |
55 | |
56 | #include "libguile/validate.h" | |
57 | #include "libguile/numbers.h" | |
f4c627b3 | 58 | |
0f2d19dd | 59 | \f |
f4c627b3 DH |
60 | |
61 | static SCM scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes); | |
62 | static SCM scm_divbigint (SCM x, long z, int sgn, int mode); | |
63 | ||
64 | ||
0f2d19dd JB |
65 | #define DIGITS '0':case '1':case '2':case '3':case '4':\ |
66 | case '5':case '6':case '7':case '8':case '9' | |
67 | ||
68 | ||
09fb7599 DH |
69 | #define SCM_SWAP(x,y) do { SCM __t = x; x = y; y = __t; } while (0) |
70 | ||
71 | ||
3a9809df | 72 | #if (SCM_DEBUG_DEPRECATED == 1) /* not defined in header yet? */ |
3a9809df DH |
73 | |
74 | /* SCM_FLOBUFLEN is the maximum number of characters neccessary for the | |
75 | * printed or scm_string representation of an inexact number. | |
76 | */ | |
77 | #define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10) | |
894a712b DH |
78 | |
79 | #endif /* SCM_DEBUG_DEPRECATED == 1 */ | |
3a9809df DH |
80 | |
81 | ||
0f2d19dd | 82 | /* IS_INF tests its floating point number for infiniteness |
5986c47d | 83 | Dirk:FIXME:: This test does not work if x == 0 |
0f2d19dd JB |
84 | */ |
85 | #ifndef IS_INF | |
7235ee58 | 86 | #define IS_INF(x) ((x) == (x) / 2) |
0f2d19dd JB |
87 | #endif |
88 | ||
5986c47d | 89 | |
e6f3ef58 | 90 | /* Return true if X is not infinite and is not a NaN |
5986c47d | 91 | Dirk:FIXME:: Since IS_INF is broken, this test does not work if x == 0 |
e6f3ef58 MD |
92 | */ |
93 | #ifndef isfinite | |
94 | #define isfinite(x) (!IS_INF (x) && (x) == (x)) | |
95 | #endif | |
96 | ||
0f2d19dd JB |
97 | \f |
98 | ||
ac0c002c DH |
99 | static SCM abs_most_negative_fixnum; |
100 | ||
101 | \f | |
102 | ||
f872b822 | 103 | |
a1ec6916 | 104 | SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0, |
1bbd0b84 | 105 | (SCM x), |
4219f20d | 106 | "Return #t if X is an exact number, #f otherwise.") |
1bbd0b84 | 107 | #define FUNC_NAME s_scm_exact_p |
0f2d19dd | 108 | { |
4219f20d | 109 | if (SCM_INUMP (x)) { |
f872b822 | 110 | return SCM_BOOL_T; |
4219f20d | 111 | } else if (SCM_BIGP (x)) { |
f872b822 | 112 | return SCM_BOOL_T; |
4219f20d DH |
113 | } else { |
114 | return SCM_BOOL_F; | |
115 | } | |
0f2d19dd | 116 | } |
1bbd0b84 | 117 | #undef FUNC_NAME |
0f2d19dd | 118 | |
4219f20d | 119 | |
a1ec6916 | 120 | SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0, |
1bbd0b84 | 121 | (SCM n), |
4219f20d | 122 | "Return #t if N is an odd number, #f otherwise.") |
1bbd0b84 | 123 | #define FUNC_NAME s_scm_odd_p |
0f2d19dd | 124 | { |
4219f20d DH |
125 | if (SCM_INUMP (n)) { |
126 | return SCM_BOOL ((4 & SCM_UNPACK (n)) != 0); | |
4219f20d DH |
127 | } else if (SCM_BIGP (n)) { |
128 | return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) != 0); | |
4219f20d | 129 | } else { |
a1a33b0f | 130 | SCM_WRONG_TYPE_ARG (1, n); |
4219f20d | 131 | } |
0f2d19dd | 132 | } |
1bbd0b84 | 133 | #undef FUNC_NAME |
0f2d19dd | 134 | |
4219f20d | 135 | |
a1ec6916 | 136 | SCM_DEFINE (scm_even_p, "even?", 1, 0, 0, |
1bbd0b84 | 137 | (SCM n), |
4219f20d | 138 | "Return #t if N is an even number, #f otherwise.") |
1bbd0b84 | 139 | #define FUNC_NAME s_scm_even_p |
0f2d19dd | 140 | { |
4219f20d DH |
141 | if (SCM_INUMP (n)) { |
142 | return SCM_BOOL ((4 & SCM_UNPACK (n)) == 0); | |
4219f20d DH |
143 | } else if (SCM_BIGP (n)) { |
144 | return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) == 0); | |
4219f20d | 145 | } else { |
a1a33b0f | 146 | SCM_WRONG_TYPE_ARG (1, n); |
4219f20d | 147 | } |
0f2d19dd | 148 | } |
1bbd0b84 | 149 | #undef FUNC_NAME |
0f2d19dd | 150 | |
4219f20d | 151 | |
9de33deb | 152 | SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs); |
1cc91f1b | 153 | |
0f2d19dd | 154 | SCM |
6e8d25a6 | 155 | scm_abs (SCM x) |
0f2d19dd | 156 | { |
4219f20d DH |
157 | if (SCM_INUMP (x)) { |
158 | long int xx = SCM_INUM (x); | |
159 | if (xx >= 0) { | |
160 | return x; | |
161 | } else if (SCM_POSFIXABLE (-xx)) { | |
162 | return SCM_MAKINUM (-xx); | |
163 | } else { | |
0f2d19dd | 164 | #ifdef SCM_BIGDIG |
4219f20d | 165 | return scm_long2big (-xx); |
0f2d19dd | 166 | #else |
4219f20d | 167 | scm_num_overflow (s_abs); |
0f2d19dd | 168 | #endif |
4219f20d | 169 | } |
4219f20d DH |
170 | } else if (SCM_BIGP (x)) { |
171 | if (!SCM_BIGSIGN (x)) { | |
172 | return x; | |
173 | } else { | |
174 | return scm_copybig (x, 0); | |
175 | } | |
5986c47d DH |
176 | } else if (SCM_REALP (x)) { |
177 | return scm_make_real (fabs (SCM_REAL_VALUE (x))); | |
4219f20d DH |
178 | } else { |
179 | SCM_WTA_DISPATCH_1 (g_abs, x, 1, s_abs); | |
180 | } | |
0f2d19dd JB |
181 | } |
182 | ||
4219f20d | 183 | |
9de33deb | 184 | SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient); |
1cc91f1b | 185 | |
0f2d19dd | 186 | SCM |
6e8d25a6 | 187 | scm_quotient (SCM x, SCM y) |
0f2d19dd | 188 | { |
828865c3 DH |
189 | if (SCM_INUMP (x)) { |
190 | long xx = SCM_INUM (x); | |
191 | if (SCM_INUMP (y)) { | |
192 | long yy = SCM_INUM (y); | |
193 | if (yy == 0) { | |
194 | scm_num_overflow (s_quotient); | |
195 | } else { | |
196 | long z = xx / yy; | |
4219f20d DH |
197 | if (SCM_FIXABLE (z)) { |
198 | return SCM_MAKINUM (z); | |
199 | } else { | |
828865c3 DH |
200 | #ifdef SCM_BIGDIG |
201 | return scm_long2big (z); | |
202 | #else | |
203 | scm_num_overflow (s_quotient); | |
204 | #endif | |
828865c3 DH |
205 | } |
206 | } | |
4219f20d | 207 | } else if (SCM_BIGP (y)) { |
ac0c002c DH |
208 | if (SCM_INUM (x) == SCM_MOST_NEGATIVE_FIXNUM |
209 | && scm_bigcomp (abs_most_negative_fixnum, y) == 0) | |
210 | { | |
211 | /* Special case: x == fixnum-min && y == abs (fixnum-min) */ | |
212 | return SCM_MAKINUM (-1); | |
213 | } | |
214 | else | |
215 | return SCM_MAKINUM (0); | |
4219f20d DH |
216 | } else { |
217 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); | |
828865c3 | 218 | } |
4219f20d DH |
219 | } else if (SCM_BIGP (x)) { |
220 | if (SCM_INUMP (y)) { | |
828865c3 DH |
221 | long yy = SCM_INUM (y); |
222 | if (yy == 0) { | |
223 | scm_num_overflow (s_quotient); | |
224 | } else if (yy == 1) { | |
f872b822 | 225 | return x; |
828865c3 DH |
226 | } else { |
227 | long z = yy < 0 ? -yy : yy; | |
228 | ||
229 | if (z < SCM_BIGRAD) { | |
230 | SCM sw = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)); | |
c209c88e GB |
231 | scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z); |
232 | return scm_normbig (sw); | |
828865c3 | 233 | } else { |
0f2d19dd | 234 | #ifndef SCM_DIGSTOOBIG |
828865c3 DH |
235 | long w = scm_pseudolong (z); |
236 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
237 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
238 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2); | |
0f2d19dd | 239 | #else |
828865c3 DH |
240 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
241 | scm_longdigs (z, zdigs); | |
242 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
243 | zdigs, SCM_DIGSPERLONG, | |
244 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2); | |
f872b822 | 245 | #endif |
f872b822 | 246 | } |
828865c3 | 247 | } |
4219f20d DH |
248 | } else if (SCM_BIGP (y)) { |
249 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
250 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
251 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
252 | } else { | |
253 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); | |
f872b822 | 254 | } |
4219f20d | 255 | } else { |
89a7e495 | 256 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG1, s_quotient); |
0f2d19dd | 257 | } |
0f2d19dd JB |
258 | } |
259 | ||
4219f20d | 260 | |
9de33deb | 261 | SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder); |
1cc91f1b | 262 | |
0f2d19dd | 263 | SCM |
6e8d25a6 | 264 | scm_remainder (SCM x, SCM y) |
0f2d19dd | 265 | { |
89a7e495 DH |
266 | if (SCM_INUMP (x)) { |
267 | if (SCM_INUMP (y)) { | |
268 | long yy = SCM_INUM (y); | |
269 | if (yy == 0) { | |
270 | scm_num_overflow (s_remainder); | |
271 | } else { | |
89a7e495 | 272 | long z = SCM_INUM (x) % yy; |
89a7e495 DH |
273 | return SCM_MAKINUM (z); |
274 | } | |
89a7e495 | 275 | } else if (SCM_BIGP (y)) { |
ac0c002c DH |
276 | if (SCM_INUM (x) == SCM_MOST_NEGATIVE_FIXNUM |
277 | && scm_bigcomp (abs_most_negative_fixnum, y) == 0) | |
278 | { | |
279 | /* Special case: x == fixnum-min && y == abs (fixnum-min) */ | |
280 | return SCM_MAKINUM (0); | |
281 | } | |
282 | else | |
283 | return x; | |
89a7e495 DH |
284 | } else { |
285 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); | |
286 | } | |
89a7e495 DH |
287 | } else if (SCM_BIGP (x)) { |
288 | if (SCM_INUMP (y)) { | |
289 | long yy = SCM_INUM (y); | |
290 | if (yy == 0) { | |
291 | scm_num_overflow (s_remainder); | |
292 | } else { | |
293 | return scm_divbigint (x, yy, SCM_BIGSIGN (x), 0); | |
294 | } | |
295 | } else if (SCM_BIGP (y)) { | |
296 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
297 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
298 | SCM_BIGSIGN (x), 0); | |
299 | } else { | |
300 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); | |
f872b822 | 301 | } |
89a7e495 DH |
302 | } else { |
303 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG1, s_remainder); | |
304 | } | |
0f2d19dd JB |
305 | } |
306 | ||
89a7e495 | 307 | |
9de33deb | 308 | SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo); |
1cc91f1b | 309 | |
0f2d19dd | 310 | SCM |
6e8d25a6 | 311 | scm_modulo (SCM x, SCM y) |
0f2d19dd | 312 | { |
828865c3 DH |
313 | if (SCM_INUMP (x)) { |
314 | long xx = SCM_INUM (x); | |
315 | if (SCM_INUMP (y)) { | |
316 | long yy = SCM_INUM (y); | |
317 | if (yy == 0) { | |
318 | scm_num_overflow (s_modulo); | |
319 | } else { | |
828865c3 | 320 | long z = xx % yy; |
828865c3 DH |
321 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); |
322 | } | |
09fb7599 DH |
323 | } else if (SCM_BIGP (y)) { |
324 | return (SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)) ? scm_sum (x, y) : x; | |
09fb7599 DH |
325 | } else { |
326 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); | |
f872b822 | 327 | } |
09fb7599 DH |
328 | } else if (SCM_BIGP (x)) { |
329 | if (SCM_INUMP (y)) { | |
828865c3 DH |
330 | long yy = SCM_INUM (y); |
331 | if (yy == 0) { | |
332 | scm_num_overflow (s_modulo); | |
333 | } else { | |
334 | return scm_divbigint (x, yy, yy < 0, | |
335 | (SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)) ? 1 : 0); | |
336 | } | |
09fb7599 DH |
337 | } else if (SCM_BIGP (y)) { |
338 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
339 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
340 | SCM_BIGSIGN (y), | |
341 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
342 | } else { | |
343 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); | |
828865c3 | 344 | } |
09fb7599 DH |
345 | } else { |
346 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG1, s_modulo); | |
828865c3 | 347 | } |
0f2d19dd JB |
348 | } |
349 | ||
09fb7599 | 350 | |
9de33deb | 351 | SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd); |
1cc91f1b | 352 | |
0f2d19dd | 353 | SCM |
6e8d25a6 | 354 | scm_gcd (SCM x, SCM y) |
0f2d19dd | 355 | { |
09fb7599 DH |
356 | if (SCM_UNBNDP (y)) { |
357 | if (SCM_UNBNDP (x)) { | |
358 | return SCM_INUM0; | |
359 | } else { | |
360 | return x; | |
361 | } | |
362 | } | |
f8de44c1 | 363 | |
0f2d19dd | 364 | tailrec: |
09fb7599 DH |
365 | if (SCM_INUMP (x)) { |
366 | if (SCM_INUMP (y)) { | |
367 | long xx = SCM_INUM (x); | |
368 | long yy = SCM_INUM (y); | |
369 | long u = xx < 0 ? -xx : xx; | |
370 | long v = yy < 0 ? -yy : yy; | |
371 | long result; | |
372 | ||
373 | if (xx == 0) { | |
374 | result = v; | |
375 | } else if (yy == 0) { | |
376 | result = u; | |
377 | } else { | |
378 | int k = 1; | |
379 | long t; | |
380 | ||
381 | /* Determine a common factor 2^k */ | |
382 | while (!(1 & (u | v))) { | |
383 | k <<= 1; | |
384 | u >>= 1; | |
385 | v >>= 1; | |
f872b822 | 386 | } |
09fb7599 DH |
387 | |
388 | /* Now, any factor 2^n can be eliminated */ | |
389 | if (u & 1) { | |
390 | t = -v; | |
391 | } else { | |
392 | t = u; | |
393 | b3: | |
394 | t = SCM_SRS (t, 1); | |
395 | } | |
396 | if (!(1 & t)) | |
397 | goto b3; | |
398 | if (t > 0) | |
399 | u = t; | |
400 | else | |
401 | v = -t; | |
402 | t = u - v; | |
403 | if (t != 0) | |
404 | goto b3; | |
405 | ||
406 | result = u * k; | |
407 | } | |
408 | if (SCM_POSFIXABLE (result)) { | |
409 | return SCM_MAKINUM (result); | |
410 | } else { | |
411 | #ifdef SCM_BIGDIG | |
412 | return scm_long2big (result); | |
f872b822 | 413 | #else |
09fb7599 DH |
414 | scm_num_overflow (s_gcd); |
415 | #endif | |
416 | } | |
09fb7599 DH |
417 | } else if (SCM_BIGP (y)) { |
418 | SCM_SWAP (x, y); | |
419 | goto big_gcd; | |
09fb7599 DH |
420 | } else { |
421 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd); | |
f872b822 | 422 | } |
09fb7599 DH |
423 | } else if (SCM_BIGP (x)) { |
424 | big_gcd: | |
425 | if (SCM_BIGSIGN (x)) | |
426 | x = scm_copybig (x, 0); | |
427 | newy: | |
428 | if (SCM_INUMP (y)) { | |
429 | if (SCM_EQ_P (y, SCM_INUM0)) { | |
430 | return x; | |
431 | } else { | |
432 | goto swaprec; | |
433 | } | |
434 | } else if (SCM_BIGP (y)) { | |
435 | if (SCM_BIGSIGN (y)) | |
436 | y = scm_copybig (y, 0); | |
437 | switch (scm_bigcomp (x, y)) | |
438 | { | |
439 | case -1: /* x > y */ | |
440 | swaprec: | |
441 | { | |
442 | SCM t = scm_remainder (x, y); | |
443 | x = y; | |
444 | y = t; | |
445 | } | |
446 | goto tailrec; | |
447 | case 1: /* x < y */ | |
448 | y = scm_remainder (y, x); | |
449 | goto newy; | |
450 | default: /* x == y */ | |
451 | return x; | |
452 | } | |
453 | /* instead of the switch, we could just | |
454 | return scm_gcd (y, scm_modulo (x, y)); */ | |
455 | } else { | |
456 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd); | |
457 | } | |
09fb7599 DH |
458 | } else { |
459 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG1, s_gcd); | |
460 | } | |
0f2d19dd JB |
461 | } |
462 | ||
09fb7599 | 463 | |
9de33deb | 464 | SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm); |
1cc91f1b | 465 | |
0f2d19dd | 466 | SCM |
6e8d25a6 | 467 | scm_lcm (SCM n1, SCM n2) |
0f2d19dd | 468 | { |
09fb7599 DH |
469 | if (SCM_UNBNDP (n2)) { |
470 | if (SCM_UNBNDP (n1)) { | |
471 | return SCM_MAKINUM (1L); | |
472 | } else { | |
473 | n2 = SCM_MAKINUM (1L); | |
474 | } | |
475 | }; | |
476 | ||
02a3305a | 477 | #ifndef SCM_BIGDIG |
09fb7599 DH |
478 | SCM_GASSERT2 (SCM_INUMP (n1), g_lcm, n1, n2, SCM_ARG1, s_lcm); |
479 | SCM_GASSERT2 (SCM_INUMP (n2), g_lcm, n1, n2, SCM_ARGn, s_lcm); | |
9de33deb | 480 | #else |
09fb7599 | 481 | SCM_GASSERT2 (SCM_INUMP (n1) || SCM_BIGP (n1), |
9de33deb | 482 | g_lcm, n1, n2, SCM_ARG1, s_lcm); |
09fb7599 | 483 | SCM_GASSERT2 (SCM_INUMP (n2) || SCM_BIGP (n2), |
9de33deb MD |
484 | g_lcm, n1, n2, SCM_ARGn, s_lcm); |
485 | #endif | |
09fb7599 DH |
486 | |
487 | { | |
488 | SCM d = scm_gcd (n1, n2); | |
489 | if (SCM_EQ_P (d, SCM_INUM0)) { | |
490 | return d; | |
491 | } else { | |
492 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
f872b822 | 493 | } |
09fb7599 | 494 | } |
0f2d19dd JB |
495 | } |
496 | ||
09fb7599 | 497 | |
0f2d19dd | 498 | #ifndef scm_long2num |
c1bfcf60 GB |
499 | #define SCM_LOGOP_RETURN(x) scm_ulong2num(x) |
500 | #else | |
501 | #define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x) | |
502 | #endif | |
503 | ||
8a525303 GB |
504 | |
505 | /* Emulating 2's complement bignums with sign magnitude arithmetic: | |
506 | ||
507 | Logand: | |
508 | X Y Result Method: | |
509 | (len) | |
510 | + + + x (map digit:logand X Y) | |
511 | + - + x (map digit:logand X (lognot (+ -1 Y))) | |
512 | - + + y (map digit:logand (lognot (+ -1 X)) Y) | |
513 | - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) | |
514 | ||
515 | Logior: | |
516 | X Y Result Method: | |
517 | ||
518 | + + + (map digit:logior X Y) | |
519 | + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) | |
520 | - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) | |
521 | - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) | |
522 | ||
523 | Logxor: | |
524 | X Y Result Method: | |
525 | ||
526 | + + + (map digit:logxor X Y) | |
527 | + - - (+ 1 (map digit:logxor X (+ -1 Y))) | |
528 | - + - (+ 1 (map digit:logxor (+ -1 X) Y)) | |
529 | - - + (map digit:logxor (+ -1 X) (+ -1 Y)) | |
530 | ||
531 | Logtest: | |
532 | X Y Result | |
533 | ||
534 | + + (any digit:logand X Y) | |
535 | + - (any digit:logand X (lognot (+ -1 Y))) | |
536 | - + (any digit:logand (lognot (+ -1 X)) Y) | |
537 | - - #t | |
538 | ||
539 | */ | |
540 | ||
541 | #ifdef SCM_BIGDIG | |
542 | ||
543 | SCM scm_copy_big_dec(SCM b, int sign); | |
544 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn); | |
545 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
546 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
547 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn); | |
548 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
549 | ||
550 | SCM scm_copy_big_dec(SCM b, int sign) | |
551 | { | |
552 | long num = -1; | |
553 | scm_sizet nx = SCM_NUMDIGS(b); | |
554 | scm_sizet i = 0; | |
555 | SCM ans = scm_mkbig(nx, sign); | |
556 | SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans); | |
557 | if SCM_BIGSIGN(b) do { | |
558 | num += src[i]; | |
559 | if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;} | |
560 | else {dst[i] = SCM_BIGLO(num); num = 0;} | |
561 | } while (++i < nx); | |
562 | else | |
563 | while (nx--) dst[nx] = src[nx]; | |
564 | return ans; | |
565 | } | |
566 | ||
567 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn) | |
568 | { | |
569 | long num = -1; | |
570 | scm_sizet i = 0; | |
571 | SCM z = scm_mkbig(nx, zsgn); | |
572 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
573 | if (zsgn) do { | |
574 | num += x[i]; | |
575 | if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;} | |
576 | else {zds[i] = SCM_BIGLO(num); num = 0;} | |
577 | } while (++i < nx); | |
578 | else do zds[i] = x[i]; while (++i < nx); | |
579 | return z; | |
580 | } | |
581 | ||
582 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
583 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 584 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
585 | { |
586 | long num = -1; | |
587 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
f3ae5d60 | 588 | SCM z = scm_copy_big_dec (bigy, xsgn & SCM_BIGSIGN (bigy)); |
8a525303 GB |
589 | SCM_BIGDIG *zds = SCM_BDIGITS(z); |
590 | if (xsgn) { | |
591 | do { | |
592 | num += x[i]; | |
593 | if (num < 0) {zds[i] |= num + SCM_BIGRAD; num = -1;} | |
594 | else {zds[i] |= SCM_BIGLO(num); num = 0;} | |
595 | } while (++i < nx); | |
596 | /* ========= Need to increment zds now =========== */ | |
597 | i = 0; num = 1; | |
598 | while (i < ny) { | |
599 | num += zds[i]; | |
600 | zds[i++] = SCM_BIGLO(num); | |
601 | num = SCM_BIGDN(num); | |
602 | if (!num) return z; | |
603 | } | |
604 | scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */ | |
605 | SCM_BDIGITS(z)[ny] = 1; | |
606 | return z; | |
607 | } | |
608 | else do zds[i] = zds[i] | x[i]; while (++i < nx); | |
609 | return z; | |
610 | } | |
611 | ||
612 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
613 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 614 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
615 | { |
616 | long num = -1; | |
617 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
618 | SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy)); | |
619 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
620 | if (xsgn) do { | |
621 | num += x[i]; | |
622 | if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;} | |
623 | else {zds[i] ^= SCM_BIGLO(num); num = 0;} | |
624 | } while (++i < nx); | |
625 | else do { | |
626 | zds[i] = zds[i] ^ x[i]; | |
627 | } while (++i < nx); | |
628 | ||
629 | if (xsgn ^ SCM_BIGSIGN(bigy)) { | |
630 | /* ========= Need to increment zds now =========== */ | |
631 | i = 0; num = 1; | |
632 | while (i < ny) { | |
633 | num += zds[i]; | |
634 | zds[i++] = SCM_BIGLO(num); | |
635 | num = SCM_BIGDN(num); | |
636 | if (!num) return scm_normbig(z); | |
637 | } | |
638 | } | |
639 | return scm_normbig(z); | |
640 | } | |
641 | ||
642 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn) | |
643 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 MD |
644 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
645 | /* return sign equals either 0 or SCM_BIGSIGNFLAG */ | |
8a525303 GB |
646 | { |
647 | long num = -1; | |
648 | scm_sizet i = 0; | |
649 | SCM z; | |
650 | SCM_BIGDIG *zds; | |
651 | if (xsgn==zsgn) { | |
652 | z = scm_copy_smaller(x, nx, zsgn); | |
653 | x = SCM_BDIGITS(bigy); | |
654 | xsgn = SCM_BIGSIGN(bigy); | |
655 | } | |
656 | else z = scm_copy_big_dec(bigy, zsgn); | |
657 | zds = SCM_BDIGITS(z); | |
658 | ||
659 | if (zsgn) { | |
660 | if (xsgn) do { | |
661 | num += x[i]; | |
662 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
663 | else {zds[i] &= SCM_BIGLO(num); num = 0;} | |
664 | } while (++i < nx); | |
665 | else do zds[i] = zds[i] & ~x[i]; while (++i < nx); | |
666 | /* ========= need to increment zds now =========== */ | |
667 | i = 0; num = 1; | |
668 | while (i < nx) { | |
669 | num += zds[i]; | |
670 | zds[i++] = SCM_BIGLO(num); | |
671 | num = SCM_BIGDN(num); | |
672 | if (!num) return scm_normbig(z); | |
673 | } | |
674 | } | |
ac0c002c DH |
675 | else if (xsgn) { |
676 | unsigned long int carry = 1; | |
677 | do { | |
678 | unsigned long int mask = (SCM_BIGDIG) ~x[i] + carry; | |
679 | zds[i] = zds[i] & (SCM_BIGDIG) mask; | |
680 | carry = (mask >= SCM_BIGRAD) ? 1 : 0; | |
681 | } while (++i < nx); | |
682 | } else do zds[i] = zds[i] & x[i]; while (++i < nx); | |
8a525303 GB |
683 | return scm_normbig(z); |
684 | } | |
685 | ||
686 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
687 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 688 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
689 | { |
690 | SCM_BIGDIG *y; | |
691 | scm_sizet i = 0; | |
692 | long num = -1; | |
693 | if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T; | |
694 | if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T; | |
695 | y = SCM_BDIGITS(bigy); | |
696 | if (xsgn) | |
697 | do { | |
698 | num += x[i]; | |
699 | if (num < 0) { | |
700 | if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
701 | num = -1; | |
702 | } | |
703 | else { | |
704 | if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
705 | num = 0; | |
706 | } | |
707 | } while (++i < nx); | |
708 | else if SCM_BIGSIGN(bigy) | |
709 | do { | |
710 | num += y[i]; | |
711 | if (num < 0) { | |
712 | if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
713 | num = -1; | |
714 | } | |
715 | else { | |
716 | if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
717 | num = 0; | |
718 | } | |
719 | } while (++i < nx); | |
720 | else | |
721 | do if (x[i] & y[i]) return SCM_BOOL_T; | |
722 | while (++i < nx); | |
723 | return SCM_BOOL_F; | |
724 | } | |
725 | ||
726 | #endif | |
727 | ||
09fb7599 | 728 | |
c3ee7520 | 729 | SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr, |
1bbd0b84 | 730 | (SCM n1, SCM n2), |
b380b885 MD |
731 | "Returns the integer which is the bit-wise AND of the two integer\n" |
732 | "arguments.\n\n" | |
733 | "Example:\n" | |
734 | "@lisp\n" | |
735 | "(number->string (logand #b1100 #b1010) 2)\n" | |
f0a7af1a NJ |
736 | " @result{} \"1000\"\n" |
737 | "@end lisp") | |
1bbd0b84 | 738 | #define FUNC_NAME s_scm_logand |
0f2d19dd | 739 | { |
9a00c9fc DH |
740 | long int nn1; |
741 | ||
09fb7599 DH |
742 | if (SCM_UNBNDP (n2)) { |
743 | if (SCM_UNBNDP (n1)) { | |
744 | return SCM_MAKINUM (-1); | |
745 | } else if (!SCM_NUMBERP (n1)) { | |
746 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
8a525303 | 747 | #ifndef SCM_RECKLESS |
09fb7599 | 748 | } else if (SCM_NUMBERP (n1)) { |
d28da049 | 749 | return n1; |
09fb7599 DH |
750 | } else { |
751 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
752 | #else | |
753 | } else { | |
754 | return n1; | |
755 | #endif | |
d28da049 | 756 | } |
8a525303 | 757 | } |
09fb7599 DH |
758 | |
759 | if (SCM_INUMP (n1)) { | |
9a00c9fc | 760 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
761 | if (SCM_INUMP (n2)) { |
762 | long nn2 = SCM_INUM (n2); | |
763 | return SCM_MAKINUM (nn1 & nn2); | |
09fb7599 DH |
764 | } else if SCM_BIGP (n2) { |
765 | intbig: | |
766 | { | |
8a525303 | 767 | # ifndef SCM_DIGSTOOBIG |
09fb7599 DH |
768 | long z = scm_pseudolong (nn1); |
769 | if ((nn1 < 0) && SCM_BIGSIGN (n2)) { | |
770 | return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
771 | SCM_BIGSIGNFLAG, n2); | |
772 | } else { | |
773 | return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
774 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
775 | } | |
8a525303 | 776 | # else |
09fb7599 DH |
777 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
778 | scm_longdigs (nn1, zdigs); | |
779 | if ((nn1 < 0) && SCM_BIGSIGN (n2)) { | |
780 | return scm_big_ior (zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); | |
781 | } else { | |
782 | return scm_big_and (zdigs, SCM_DIGSPERLONG, | |
783 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
784 | } | |
8a525303 | 785 | # endif |
09fb7599 | 786 | } |
09fb7599 DH |
787 | } else { |
788 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
789 | } | |
09fb7599 DH |
790 | } else if (SCM_BIGP (n1)) { |
791 | if (SCM_INUMP (n2)) { | |
792 | SCM_SWAP (n1, n2); | |
9a00c9fc | 793 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
794 | goto intbig; |
795 | } else if (SCM_BIGP (n2)) { | |
796 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
797 | SCM_SWAP (n1, n2); | |
798 | }; | |
799 | if ((SCM_BIGSIGN (n1)) && SCM_BIGSIGN (n2)) { | |
800 | return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
801 | SCM_BIGSIGNFLAG, n2); | |
802 | } else { | |
803 | return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
804 | SCM_BIGSIGN (n1), n2, 0); | |
805 | } | |
806 | } else { | |
807 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
808 | } | |
09fb7599 DH |
809 | } else { |
810 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
811 | } | |
0f2d19dd | 812 | } |
1bbd0b84 | 813 | #undef FUNC_NAME |
0f2d19dd | 814 | |
09fb7599 | 815 | |
c3ee7520 | 816 | SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr, |
1bbd0b84 | 817 | (SCM n1, SCM n2), |
b380b885 MD |
818 | "Returns the integer which is the bit-wise OR of the two integer\n" |
819 | "arguments.\n\n" | |
820 | "Example:\n" | |
821 | "@lisp\n" | |
822 | "(number->string (logior #b1100 #b1010) 2)\n" | |
823 | " @result{} \"1110\"\n" | |
824 | "@end lisp") | |
1bbd0b84 | 825 | #define FUNC_NAME s_scm_logior |
0f2d19dd | 826 | { |
9a00c9fc DH |
827 | long int nn1; |
828 | ||
09fb7599 DH |
829 | if (SCM_UNBNDP (n2)) { |
830 | if (SCM_UNBNDP (n1)) { | |
831 | return SCM_INUM0; | |
8a525303 | 832 | #ifndef SCM_RECKLESS |
09fb7599 | 833 | } else if (SCM_NUMBERP (n1)) { |
d28da049 | 834 | return n1; |
09fb7599 DH |
835 | } else { |
836 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
837 | #else | |
838 | } else { | |
839 | return n1; | |
840 | #endif | |
d28da049 | 841 | } |
8a525303 | 842 | } |
09fb7599 DH |
843 | |
844 | if (SCM_INUMP (n1)) { | |
9a00c9fc | 845 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
846 | if (SCM_INUMP (n2)) { |
847 | long nn2 = SCM_INUM (n2); | |
848 | return SCM_MAKINUM (nn1 | nn2); | |
09fb7599 DH |
849 | } else if (SCM_BIGP (n2)) { |
850 | intbig: | |
851 | { | |
8a525303 | 852 | # ifndef SCM_DIGSTOOBIG |
09fb7599 DH |
853 | long z = scm_pseudolong (nn1); |
854 | if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) { | |
855 | return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
856 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
857 | } else { | |
858 | return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
859 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
860 | } | |
8a525303 | 861 | # else |
5fa20751 | 862 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
09fb7599 DH |
863 | scm_longdigs (nn1, zdigs); |
864 | if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) { | |
865 | return scm_big_ior (zdigs, SCM_DIGSPERLONG, | |
866 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
867 | } else { | |
868 | return scm_big_and (zdigs, SCM_DIGSPERLONG, | |
869 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
870 | } | |
8a525303 | 871 | # endif |
09fb7599 | 872 | } |
09fb7599 DH |
873 | } else { |
874 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
875 | } | |
09fb7599 DH |
876 | } else if (SCM_BIGP (n1)) { |
877 | if (SCM_INUMP (n2)) { | |
878 | SCM_SWAP (n1, n2); | |
9a00c9fc | 879 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
880 | goto intbig; |
881 | } else if (SCM_BIGP (n2)) { | |
882 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
883 | SCM_SWAP (n1, n2); | |
884 | }; | |
885 | if ((!SCM_BIGSIGN (n1)) && !SCM_BIGSIGN (n2)) { | |
886 | return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
887 | SCM_BIGSIGN (n1), n2); | |
888 | } else { | |
889 | return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
890 | SCM_BIGSIGN (n1), n2, SCM_BIGSIGNFLAG); | |
891 | } | |
892 | } else { | |
893 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
894 | } | |
09fb7599 DH |
895 | } else { |
896 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
897 | } | |
0f2d19dd | 898 | } |
1bbd0b84 | 899 | #undef FUNC_NAME |
0f2d19dd | 900 | |
09fb7599 | 901 | |
c3ee7520 | 902 | SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr, |
1bbd0b84 | 903 | (SCM n1, SCM n2), |
b380b885 MD |
904 | "Returns the integer which is the bit-wise XOR of the two integer\n" |
905 | "arguments.\n\n" | |
906 | "Example:\n" | |
907 | "@lisp\n" | |
908 | "(number->string (logxor #b1100 #b1010) 2)\n" | |
909 | " @result{} \"110\"\n" | |
910 | "@end lisp") | |
1bbd0b84 | 911 | #define FUNC_NAME s_scm_logxor |
0f2d19dd | 912 | { |
9a00c9fc DH |
913 | long int nn1; |
914 | ||
09fb7599 DH |
915 | if (SCM_UNBNDP (n2)) { |
916 | if (SCM_UNBNDP (n1)) { | |
917 | return SCM_INUM0; | |
8a525303 | 918 | #ifndef SCM_RECKLESS |
09fb7599 DH |
919 | } else if (SCM_NUMBERP (n1)) { |
920 | return n1; | |
921 | } else { | |
922 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
923 | #else | |
924 | } else { | |
d28da049 | 925 | return n1; |
09fb7599 | 926 | #endif |
d28da049 | 927 | } |
8a525303 | 928 | } |
09fb7599 DH |
929 | |
930 | if (SCM_INUMP (n1)) { | |
9a00c9fc | 931 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
932 | if (SCM_INUMP (n2)) { |
933 | long nn2 = SCM_INUM (n2); | |
934 | return SCM_MAKINUM (nn1 ^ nn2); | |
09fb7599 DH |
935 | } else if (SCM_BIGP (n2)) { |
936 | intbig: | |
8a525303 GB |
937 | { |
938 | # ifndef SCM_DIGSTOOBIG | |
09fb7599 DH |
939 | long z = scm_pseudolong (nn1); |
940 | return scm_big_xor ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
941 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 942 | # else |
09fb7599 DH |
943 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
944 | scm_longdigs (nn1, zdigs); | |
945 | return scm_big_xor (zdigs, SCM_DIGSPERLONG, | |
946 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 GB |
947 | # endif |
948 | } | |
09fb7599 DH |
949 | } else { |
950 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
951 | } | |
09fb7599 DH |
952 | } else if (SCM_BIGP (n1)) { |
953 | if (SCM_INUMP (n2)) { | |
954 | SCM_SWAP (n1, n2); | |
9a00c9fc | 955 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
956 | goto intbig; |
957 | } else if (SCM_BIGP (n2)) { | |
958 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) { | |
959 | SCM_SWAP (n1, n2); | |
960 | } | |
961 | return scm_big_xor (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
962 | SCM_BIGSIGN (n1), n2); | |
963 | } else { | |
964 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
965 | } | |
09fb7599 DH |
966 | } else { |
967 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
968 | } | |
0f2d19dd | 969 | } |
1bbd0b84 | 970 | #undef FUNC_NAME |
0f2d19dd | 971 | |
09fb7599 | 972 | |
a1ec6916 | 973 | SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0, |
1bbd0b84 | 974 | (SCM n1, SCM n2), |
b380b885 MD |
975 | "@example\n" |
976 | "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n" | |
977 | "(logtest #b0100 #b1011) @result{} #f\n" | |
978 | "(logtest #b0100 #b0111) @result{} #t\n" | |
979 | "@end example") | |
1bbd0b84 | 980 | #define FUNC_NAME s_scm_logtest |
0f2d19dd | 981 | { |
9a00c9fc DH |
982 | long int nn1; |
983 | ||
f8de44c1 | 984 | if (SCM_INUMP (n1)) { |
9a00c9fc | 985 | nn1 = SCM_INUM (n1); |
f8de44c1 DH |
986 | if (SCM_INUMP (n2)) { |
987 | long nn2 = SCM_INUM (n2); | |
988 | return SCM_BOOL (nn1 & nn2); | |
f8de44c1 DH |
989 | } else if (SCM_BIGP (n2)) { |
990 | intbig: | |
991 | { | |
8a525303 | 992 | # ifndef SCM_DIGSTOOBIG |
f8de44c1 DH |
993 | long z = scm_pseudolong (nn1); |
994 | return scm_big_test ((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, | |
995 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 996 | # else |
f8de44c1 DH |
997 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
998 | scm_longdigs (nn1, zdigs); | |
999 | return scm_big_test (zdigs, SCM_DIGSPERLONG, | |
1000 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 1001 | # endif |
f8de44c1 | 1002 | } |
f8de44c1 DH |
1003 | } else { |
1004 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
1005 | } | |
f8de44c1 DH |
1006 | } else if (SCM_BIGP (n1)) { |
1007 | if (SCM_INUMP (n2)) { | |
1008 | SCM_SWAP (n1, n2); | |
9a00c9fc | 1009 | nn1 = SCM_INUM (n1); |
f8de44c1 DH |
1010 | goto intbig; |
1011 | } else if (SCM_BIGP (n2)) { | |
1012 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
1013 | SCM_SWAP (n1, n2); | |
1014 | } | |
1015 | return scm_big_test (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
1016 | SCM_BIGSIGN (n1), n2); | |
1017 | } else { | |
1018 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
1019 | } | |
f8de44c1 DH |
1020 | } else { |
1021 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
1022 | } | |
0f2d19dd | 1023 | } |
1bbd0b84 | 1024 | #undef FUNC_NAME |
0f2d19dd | 1025 | |
c1bfcf60 | 1026 | |
a1ec6916 | 1027 | SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0, |
2cd04b42 | 1028 | (SCM index, SCM j), |
b380b885 MD |
1029 | "@example\n" |
1030 | "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n" | |
1031 | "(logbit? 0 #b1101) @result{} #t\n" | |
1032 | "(logbit? 1 #b1101) @result{} #f\n" | |
1033 | "(logbit? 2 #b1101) @result{} #t\n" | |
1034 | "(logbit? 3 #b1101) @result{} #t\n" | |
1035 | "(logbit? 4 #b1101) @result{} #f\n" | |
1036 | "@end example") | |
1bbd0b84 | 1037 | #define FUNC_NAME s_scm_logbit_p |
0f2d19dd | 1038 | { |
78166ad5 DH |
1039 | unsigned long int iindex; |
1040 | ||
1041 | SCM_VALIDATE_INUM_MIN (SCM_ARG1, index, 0); | |
1042 | iindex = (unsigned long int) SCM_INUM (index); | |
1043 | ||
1044 | if (SCM_INUMP (j)) { | |
1045 | return SCM_BOOL ((1L << iindex) & SCM_INUM (j)); | |
1046 | } else if (SCM_BIGP (j)) { | |
1047 | if (SCM_NUMDIGS (j) * SCM_BITSPERDIG < iindex) { | |
1048 | return SCM_BOOL_F; | |
1049 | } else if (SCM_BIGSIGN (j)) { | |
8a525303 GB |
1050 | long num = -1; |
1051 | scm_sizet i = 0; | |
78166ad5 DH |
1052 | SCM_BIGDIG * x = SCM_BDIGITS (j); |
1053 | scm_sizet nx = iindex / SCM_BITSPERDIG; | |
1054 | while (1) { | |
8a525303 | 1055 | num += x[i]; |
78166ad5 DH |
1056 | if (nx == i++) { |
1057 | return SCM_BOOL (((1L << (iindex % SCM_BITSPERDIG)) & num) == 0); | |
1058 | } else if (num < 0) { | |
1059 | num = -1; | |
1060 | } else { | |
1061 | num = 0; | |
1062 | } | |
8a525303 | 1063 | } |
78166ad5 DH |
1064 | } else { |
1065 | return SCM_BOOL (SCM_BDIGITS (j) [iindex / SCM_BITSPERDIG] | |
1066 | & (1L << (iindex % SCM_BITSPERDIG))); | |
8a525303 | 1067 | } |
78166ad5 DH |
1068 | } else { |
1069 | SCM_WRONG_TYPE_ARG (SCM_ARG2, j); | |
8a525303 | 1070 | } |
0f2d19dd | 1071 | } |
1bbd0b84 | 1072 | #undef FUNC_NAME |
0f2d19dd | 1073 | |
78166ad5 | 1074 | |
a1ec6916 | 1075 | SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0, |
1bbd0b84 | 1076 | (SCM n), |
b380b885 MD |
1077 | "Returns the integer which is the 2s-complement of the integer argument.\n\n" |
1078 | "Example:\n" | |
1079 | "@lisp\n" | |
1080 | "(number->string (lognot #b10000000) 2)\n" | |
1081 | " @result{} \"-10000001\"\n" | |
1082 | "(number->string (lognot #b0) 2)\n" | |
1083 | " @result{} \"-1\"\n" | |
0137a31b | 1084 | "@end lisp\n") |
1bbd0b84 | 1085 | #define FUNC_NAME s_scm_lognot |
0f2d19dd | 1086 | { |
f872b822 | 1087 | return scm_difference (SCM_MAKINUM (-1L), n); |
0f2d19dd | 1088 | } |
1bbd0b84 | 1089 | #undef FUNC_NAME |
0f2d19dd | 1090 | |
a1ec6916 | 1091 | SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0, |
2cd04b42 | 1092 | (SCM n, SCM k), |
b380b885 MD |
1093 | "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n" |
1094 | "Example:\n" | |
1095 | "@lisp\n" | |
1096 | "(integer-expt 2 5)\n" | |
1097 | " @result{} 32\n" | |
1098 | "(integer-expt -3 3)\n" | |
1099 | " @result{} -27\n" | |
1100 | "@end lisp") | |
1bbd0b84 | 1101 | #define FUNC_NAME s_scm_integer_expt |
0f2d19dd | 1102 | { |
f872b822 | 1103 | SCM acc = SCM_MAKINUM (1L); |
1bbd0b84 | 1104 | int i2; |
0f2d19dd | 1105 | #ifdef SCM_BIGDIG |
4260a7fc | 1106 | if (SCM_EQ_P (n, SCM_INUM0) || SCM_EQ_P (n, acc)) |
2cd04b42 | 1107 | return n; |
4260a7fc DH |
1108 | else if (SCM_EQ_P (n, SCM_MAKINUM (-1L))) |
1109 | return SCM_FALSEP (scm_even_p (k)) ? n : acc; | |
0f2d19dd | 1110 | #endif |
2cd04b42 | 1111 | SCM_VALIDATE_ULONG_COPY (2,k,i2); |
1bbd0b84 | 1112 | if (i2 < 0) |
f872b822 | 1113 | { |
1bbd0b84 | 1114 | i2 = -i2; |
2cd04b42 | 1115 | n = scm_divide (n, SCM_UNDEFINED); |
f872b822 MD |
1116 | } |
1117 | while (1) | |
1118 | { | |
1bbd0b84 | 1119 | if (0 == i2) |
f872b822 | 1120 | return acc; |
1bbd0b84 | 1121 | if (1 == i2) |
2cd04b42 | 1122 | return scm_product (acc, n); |
1bbd0b84 | 1123 | if (i2 & 1) |
2cd04b42 GB |
1124 | acc = scm_product (acc, n); |
1125 | n = scm_product (n, n); | |
1bbd0b84 | 1126 | i2 >>= 1; |
f872b822 | 1127 | } |
0f2d19dd | 1128 | } |
1bbd0b84 | 1129 | #undef FUNC_NAME |
0f2d19dd | 1130 | |
a1ec6916 | 1131 | SCM_DEFINE (scm_ash, "ash", 2, 0, 0, |
1bbd0b84 | 1132 | (SCM n, SCM cnt), |
3ab9f56e DH |
1133 | "The function ash performs an arithmetic shift left by CNT bits\n" |
1134 | "(or shift right, if CNT is negative). 'Arithmetic' means, that\n" | |
2a2a730b NJ |
1135 | "the function does not guarantee to keep the bit structure of N,\n" |
1136 | "but rather guarantees that the result will always be rounded\n" | |
3ab9f56e DH |
1137 | "towards minus infinity. Therefore, the results of ash and a\n" |
1138 | "corresponding bitwise shift will differ if N is negative.\n\n" | |
1139 | "Formally, the function returns an integer equivalent to\n" | |
1140 | "@code{(inexact->exact (floor (* N (expt 2 CNT))))}.@refill\n\n" | |
b380b885 MD |
1141 | "Example:\n" |
1142 | "@lisp\n" | |
1143 | "(number->string (ash #b1 3) 2)\n" | |
2a2a730b NJ |
1144 | " @result{} \"1000\"\n" |
1145 | "(number->string (ash #b1010 -1) 2)\n" | |
1146 | " @result{} \"101\"\n" | |
a3c8b9fc | 1147 | "@end lisp") |
1bbd0b84 | 1148 | #define FUNC_NAME s_scm_ash |
0f2d19dd | 1149 | { |
3ab9f56e DH |
1150 | long bits_to_shift; |
1151 | ||
1152 | #ifndef SCM_BIGDIG | |
1153 | SCM_VALIDATE_INUM (1, n) | |
1154 | #endif | |
1155 | SCM_VALIDATE_INUM (2, cnt); | |
1156 | ||
1157 | bits_to_shift = SCM_INUM (cnt); | |
0f2d19dd | 1158 | #ifdef SCM_BIGDIG |
3ab9f56e DH |
1159 | if (bits_to_shift < 0) { |
1160 | /* Shift right by abs(cnt) bits. This is realized as a division by | |
1161 | div:=2^abs(cnt). However, to guarantee the floor rounding, negative | |
1162 | values require some special treatment. | |
1163 | */ | |
1164 | SCM div = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-bits_to_shift)); | |
1165 | if (SCM_FALSEP (scm_negative_p (n))) | |
1166 | return scm_quotient (n, div); | |
1167 | else | |
1168 | return scm_sum (SCM_MAKINUM (-1L), | |
1169 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), div)); | |
1170 | } else | |
1171 | /* Shift left is done by multiplication with 2^CNT */ | |
f872b822 | 1172 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); |
0f2d19dd | 1173 | #else |
3ab9f56e DH |
1174 | if (bits_to_shift < 0) |
1175 | /* Signed right shift (SCM_SRS does it right) by abs(cnt) bits. */ | |
1176 | return SCM_MAKINUM (SCM_SRS (SCM_INUM (n), -bits_to_shift)); | |
1177 | else { | |
1178 | /* Shift left, but make sure not to leave the range of inums */ | |
1179 | SCM res = SCM_MAKINUM (SCM_INUM (n) << cnt); | |
1180 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
1181 | scm_num_overflow (FUNC_NAME); | |
1182 | return res; | |
1183 | } | |
0f2d19dd JB |
1184 | #endif |
1185 | } | |
1bbd0b84 | 1186 | #undef FUNC_NAME |
0f2d19dd | 1187 | |
3c9f20f8 | 1188 | |
a1ec6916 | 1189 | SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0, |
1bbd0b84 | 1190 | (SCM n, SCM start, SCM end), |
b380b885 MD |
1191 | "Returns the integer composed of the @var{start} (inclusive) through\n" |
1192 | "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n" | |
1193 | "the 0-th bit in the result.@refill\n\n" | |
1194 | "Example:\n" | |
1195 | "@lisp\n" | |
1196 | "(number->string (bit-extract #b1101101010 0 4) 2)\n" | |
1197 | " @result{} \"1010\"\n" | |
1198 | "(number->string (bit-extract #b1101101010 4 9) 2)\n" | |
1199 | " @result{} \"10110\"\n" | |
1200 | "@end lisp") | |
1bbd0b84 | 1201 | #define FUNC_NAME s_scm_bit_extract |
0f2d19dd | 1202 | { |
ac0c002c | 1203 | unsigned long int istart, iend; |
c1bfcf60 GB |
1204 | SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart); |
1205 | SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend); | |
1206 | SCM_ASSERT_RANGE (3, end, (iend >= istart)); | |
78166ad5 DH |
1207 | |
1208 | if (SCM_INUMP (n)) { | |
ac0c002c DH |
1209 | long int in = SCM_INUM (n); |
1210 | unsigned long int bits = iend - istart; | |
1211 | ||
1212 | if (in < 0 && bits >= SCM_FIXNUM_BIT) | |
1213 | { | |
1214 | /* Since we emulate two's complement encoded numbers, this special | |
1215 | * case requires us to produce a result that has more bits than can be | |
1216 | * stored in a fixnum. Thus, we fall back to the more general | |
1217 | * algorithm that is used for bignums. | |
1218 | */ | |
1219 | goto generalcase; | |
1220 | } | |
1221 | ||
1222 | if (istart < SCM_FIXNUM_BIT) | |
1223 | { | |
1224 | in = in >> istart; | |
1225 | if (bits < SCM_FIXNUM_BIT) | |
1226 | return SCM_MAKINUM (in & ((1L << bits) - 1)); | |
1227 | else /* we know: in >= 0 */ | |
1228 | return SCM_MAKINUM (in); | |
1229 | } | |
1230 | else if (in < 0) | |
1231 | { | |
1232 | return SCM_MAKINUM (-1L & ((1L << bits) - 1)); | |
1233 | } | |
1234 | else | |
1235 | { | |
1236 | return SCM_MAKINUM (0); | |
1237 | } | |
78166ad5 | 1238 | } else if (SCM_BIGP (n)) { |
ac0c002c DH |
1239 | generalcase: |
1240 | { | |
1241 | SCM num1 = SCM_MAKINUM (1L); | |
1242 | SCM num2 = SCM_MAKINUM (2L); | |
1243 | SCM bits = SCM_MAKINUM (iend - istart); | |
1244 | SCM mask = scm_difference (scm_integer_expt (num2, bits), num1); | |
1245 | return scm_logand (mask, scm_ash (n, SCM_MAKINUM (-istart))); | |
1246 | } | |
78166ad5 DH |
1247 | } else { |
1248 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n); | |
1249 | } | |
0f2d19dd | 1250 | } |
1bbd0b84 | 1251 | #undef FUNC_NAME |
0f2d19dd | 1252 | |
3c9f20f8 | 1253 | |
e4755e5c JB |
1254 | static const char scm_logtab[] = { |
1255 | 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 | |
1256 | }; | |
1cc91f1b | 1257 | |
a1ec6916 | 1258 | SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0, |
1bbd0b84 | 1259 | (SCM n), |
b380b885 MD |
1260 | "Returns the number of bits in integer @var{n}. If integer is positive,\n" |
1261 | "the 1-bits in its binary representation are counted. If negative, the\n" | |
1262 | "0-bits in its two's-complement binary representation are counted. If 0,\n" | |
1263 | "0 is returned.\n\n" | |
1264 | "Example:\n" | |
1265 | "@lisp\n" | |
1266 | "(logcount #b10101010)\n" | |
1267 | " @result{} 4\n" | |
1268 | "(logcount 0)\n" | |
1269 | " @result{} 0\n" | |
1270 | "(logcount -2)\n" | |
1271 | " @result{} 1\n" | |
1272 | "@end lisp") | |
1bbd0b84 | 1273 | #define FUNC_NAME s_scm_logcount |
0f2d19dd | 1274 | { |
3c9f20f8 DH |
1275 | if (SCM_INUMP (n)) { |
1276 | unsigned long int c = 0; | |
1277 | long int nn = SCM_INUM (n); | |
1278 | if (nn < 0) { | |
1279 | nn = -1 - nn; | |
1280 | }; | |
1281 | while (nn) { | |
1282 | c += scm_logtab[15 & nn]; | |
1283 | nn >>= 4; | |
1284 | }; | |
1285 | return SCM_MAKINUM (c); | |
1286 | } else if (SCM_BIGP (n)) { | |
1287 | if (SCM_BIGSIGN (n)) { | |
1288 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
1289 | } else { | |
1290 | unsigned long int c = 0; | |
1291 | scm_sizet i = SCM_NUMDIGS (n); | |
1292 | SCM_BIGDIG * ds = SCM_BDIGITS (n); | |
1293 | while (i--) { | |
1294 | SCM_BIGDIG d; | |
1295 | for (d = ds[i]; d; d >>= 4) { | |
f872b822 | 1296 | c += scm_logtab[15 & d]; |
3c9f20f8 DH |
1297 | } |
1298 | } | |
f872b822 MD |
1299 | return SCM_MAKINUM (c); |
1300 | } | |
3c9f20f8 DH |
1301 | } else { |
1302 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n); | |
1303 | } | |
0f2d19dd | 1304 | } |
1bbd0b84 GB |
1305 | #undef FUNC_NAME |
1306 | ||
0f2d19dd | 1307 | |
e4755e5c JB |
1308 | static const char scm_ilentab[] = { |
1309 | 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 | |
1310 | }; | |
1cc91f1b | 1311 | |
a1ec6916 | 1312 | SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0, |
1bbd0b84 | 1313 | (SCM n), |
b380b885 MD |
1314 | "Returns the number of bits neccessary to represent @var{n}.\n\n" |
1315 | "Example:\n" | |
1316 | "@lisp\n" | |
1317 | "(integer-length #b10101010)\n" | |
1318 | " @result{} 8\n" | |
1319 | "(integer-length 0)\n" | |
1320 | " @result{} 0\n" | |
1321 | "(integer-length #b1111)\n" | |
1322 | " @result{} 4\n" | |
1323 | "@end lisp") | |
1bbd0b84 | 1324 | #define FUNC_NAME s_scm_integer_length |
0f2d19dd | 1325 | { |
3c9f20f8 DH |
1326 | if (SCM_INUMP (n)) { |
1327 | unsigned long int c = 0; | |
1328 | unsigned int l = 4; | |
1329 | long int nn = SCM_INUM (n); | |
1330 | if (nn < 0) { | |
1331 | nn = -1 - nn; | |
1332 | }; | |
1333 | while (nn) { | |
f872b822 | 1334 | c += 4; |
3c9f20f8 DH |
1335 | l = scm_ilentab [15 & nn]; |
1336 | nn >>= 4; | |
1337 | }; | |
1338 | return SCM_MAKINUM (c - 4 + l); | |
1339 | } else if (SCM_BIGP (n)) { | |
1340 | if (SCM_BIGSIGN (n)) { | |
1341 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
1342 | } else { | |
1343 | unsigned long int digs = SCM_NUMDIGS (n) - 1; | |
1344 | unsigned long int c = digs * SCM_BITSPERDIG; | |
1345 | unsigned int l = 4; | |
1346 | SCM_BIGDIG * ds = SCM_BDIGITS (n); | |
1347 | SCM_BIGDIG d = ds [digs]; | |
1348 | while (d) { | |
1349 | c += 4; | |
1350 | l = scm_ilentab [15 & d]; | |
1351 | d >>= 4; | |
1352 | }; | |
1353 | return SCM_MAKINUM (c - 4 + l); | |
f872b822 | 1354 | } |
3c9f20f8 DH |
1355 | } else { |
1356 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n); | |
1357 | } | |
0f2d19dd | 1358 | } |
1bbd0b84 | 1359 | #undef FUNC_NAME |
0f2d19dd JB |
1360 | |
1361 | ||
1362 | #ifdef SCM_BIGDIG | |
e4755e5c | 1363 | static const char s_bignum[] = "bignum"; |
1cc91f1b | 1364 | |
0f2d19dd | 1365 | SCM |
1bbd0b84 | 1366 | scm_mkbig (scm_sizet nlen, int sign) |
0f2d19dd | 1367 | { |
c209c88e GB |
1368 | SCM v; |
1369 | /* Cast to long int to avoid signed/unsigned comparison warnings. */ | |
f3ae5d60 MD |
1370 | if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) |
1371 | != (long int) nlen) | |
2500356c | 1372 | scm_memory_error (s_bignum); |
c209c88e | 1373 | |
f872b822 | 1374 | SCM_NEWCELL (v); |
0f2d19dd | 1375 | SCM_DEFER_INTS; |
6a0476fd | 1376 | SCM_SET_BIGNUM_BASE (v, scm_must_malloc (nlen * sizeof (SCM_BIGDIG), s_bignum)); |
f3ae5d60 | 1377 | SCM_SETNUMDIGS (v, nlen, sign); |
0f2d19dd JB |
1378 | SCM_ALLOW_INTS; |
1379 | return v; | |
1380 | } | |
1381 | ||
1cc91f1b | 1382 | |
0f2d19dd | 1383 | SCM |
1bbd0b84 | 1384 | scm_big2inum (SCM b, scm_sizet l) |
0f2d19dd JB |
1385 | { |
1386 | unsigned long num = 0; | |
f872b822 MD |
1387 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
1388 | while (l--) | |
1389 | num = SCM_BIGUP (num) + tmp[l]; | |
f3ae5d60 | 1390 | if (!SCM_BIGSIGN (b)) |
f872b822 MD |
1391 | { |
1392 | if (SCM_POSFIXABLE (num)) | |
1393 | return SCM_MAKINUM (num); | |
1394 | } | |
894a712b | 1395 | else if (num <= -SCM_MOST_NEGATIVE_FIXNUM) |
f872b822 | 1396 | return SCM_MAKINUM (-num); |
0f2d19dd JB |
1397 | return b; |
1398 | } | |
1399 | ||
1400 | ||
e4755e5c | 1401 | static const char s_adjbig[] = "scm_adjbig"; |
1cc91f1b | 1402 | |
0f2d19dd | 1403 | SCM |
1bbd0b84 | 1404 | scm_adjbig (SCM b, scm_sizet nlen) |
0f2d19dd | 1405 | { |
2bf746cc | 1406 | scm_sizet nsiz = nlen; |
f3ae5d60 | 1407 | if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen) |
2500356c | 1408 | scm_memory_error (s_adjbig); |
2bf746cc | 1409 | |
0f2d19dd | 1410 | SCM_DEFER_INTS; |
2bf746cc JB |
1411 | { |
1412 | SCM_BIGDIG *digits | |
1413 | = ((SCM_BIGDIG *) | |
9eb364fc | 1414 | scm_must_realloc ((char *) SCM_BDIGITS (b), |
f872b822 | 1415 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), |
495ffc6e | 1416 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_bignum)); |
2bf746cc | 1417 | |
6a0476fd | 1418 | SCM_SET_BIGNUM_BASE (b, digits); |
f3ae5d60 | 1419 | SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b)); |
2bf746cc | 1420 | } |
0f2d19dd JB |
1421 | SCM_ALLOW_INTS; |
1422 | return b; | |
1423 | } | |
1424 | ||
1425 | ||
1cc91f1b | 1426 | |
0f2d19dd | 1427 | SCM |
1bbd0b84 | 1428 | scm_normbig (SCM b) |
0f2d19dd | 1429 | { |
f872b822 MD |
1430 | #ifndef _UNICOS |
1431 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 1432 | #else |
f872b822 | 1433 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 1434 | #endif |
f872b822 MD |
1435 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
1436 | while (nlen-- && !zds[nlen]); | |
1437 | nlen++; | |
1438 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
1439 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
1440 | return b; | |
1441 | if (SCM_NUMDIGS (b) == nlen) | |
1442 | return b; | |
1443 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
1444 | } |
1445 | ||
1446 | ||
1cc91f1b | 1447 | |
0f2d19dd | 1448 | SCM |
1bbd0b84 | 1449 | scm_copybig (SCM b, int sign) |
0f2d19dd | 1450 | { |
f872b822 MD |
1451 | scm_sizet i = SCM_NUMDIGS (b); |
1452 | SCM ans = scm_mkbig (i, sign); | |
1453 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
1454 | while (i--) | |
1455 | dst[i] = src[i]; | |
0f2d19dd JB |
1456 | return ans; |
1457 | } | |
1458 | ||
1459 | ||
1cc91f1b | 1460 | |
0f2d19dd | 1461 | SCM |
1bbd0b84 | 1462 | scm_long2big (long n) |
0f2d19dd JB |
1463 | { |
1464 | scm_sizet i = 0; | |
1465 | SCM_BIGDIG *digits; | |
f872b822 MD |
1466 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
1467 | digits = SCM_BDIGITS (ans); | |
1468 | if (n < 0) | |
1469 | n = -n; | |
1470 | while (i < SCM_DIGSPERLONG) | |
1471 | { | |
1472 | digits[i++] = SCM_BIGLO (n); | |
1473 | n = SCM_BIGDN ((unsigned long) n); | |
1474 | } | |
0f2d19dd JB |
1475 | return ans; |
1476 | } | |
1477 | ||
5c11cc9d | 1478 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 1479 | |
0f2d19dd | 1480 | SCM |
1bbd0b84 | 1481 | scm_long_long2big (long_long n) |
0f2d19dd JB |
1482 | { |
1483 | scm_sizet i; | |
1484 | SCM_BIGDIG *digits; | |
1485 | SCM ans; | |
1486 | int n_digits; | |
1487 | ||
1488 | { | |
1489 | long tn; | |
1490 | tn = (long) n; | |
f872b822 | 1491 | if ((long long) tn == n) |
0f2d19dd JB |
1492 | return scm_long2big (tn); |
1493 | } | |
1494 | ||
1495 | { | |
1496 | long_long tn; | |
1497 | ||
1498 | for (tn = n, n_digits = 0; | |
1499 | tn; | |
f872b822 | 1500 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
1501 | ; |
1502 | } | |
1503 | ||
1504 | i = 0; | |
f872b822 MD |
1505 | ans = scm_mkbig (n_digits, n < 0); |
1506 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1507 | if (n < 0) |
1508 | n = -n; | |
f872b822 MD |
1509 | while (i < n_digits) |
1510 | { | |
1511 | digits[i++] = SCM_BIGLO (n); | |
1512 | n = SCM_BIGDN ((ulong_long) n); | |
1513 | } | |
0f2d19dd JB |
1514 | return ans; |
1515 | } | |
f69a01b2 | 1516 | #endif /* HAVE_LONG_LONGS */ |
0f2d19dd | 1517 | |
1cc91f1b | 1518 | |
0f2d19dd | 1519 | SCM |
1bbd0b84 | 1520 | scm_2ulong2big (unsigned long *np) |
0f2d19dd JB |
1521 | { |
1522 | unsigned long n; | |
1523 | scm_sizet i; | |
1524 | SCM_BIGDIG *digits; | |
1525 | SCM ans; | |
1526 | ||
f872b822 MD |
1527 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1528 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1529 | |
1530 | n = np[0]; | |
1531 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1532 | { | |
f872b822 MD |
1533 | digits[i] = SCM_BIGLO (n); |
1534 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1535 | } |
1536 | n = np[1]; | |
1537 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1538 | { | |
f872b822 MD |
1539 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1540 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1541 | } |
1542 | return ans; | |
1543 | } | |
1544 | ||
1545 | ||
1cc91f1b | 1546 | |
0f2d19dd | 1547 | SCM |
1bbd0b84 | 1548 | scm_ulong2big (unsigned long n) |
0f2d19dd JB |
1549 | { |
1550 | scm_sizet i = 0; | |
1551 | SCM_BIGDIG *digits; | |
f872b822 MD |
1552 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1553 | digits = SCM_BDIGITS (ans); | |
1554 | while (i < SCM_DIGSPERLONG) | |
1555 | { | |
1556 | digits[i++] = SCM_BIGLO (n); | |
1557 | n = SCM_BIGDN (n); | |
1558 | } | |
0f2d19dd JB |
1559 | return ans; |
1560 | } | |
1561 | ||
1562 | ||
1cc91f1b | 1563 | |
0f2d19dd | 1564 | int |
1bbd0b84 | 1565 | scm_bigcomp (SCM x, SCM y) |
0f2d19dd | 1566 | { |
f872b822 MD |
1567 | int xsign = SCM_BIGSIGN (x); |
1568 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1569 | scm_sizet xlen, ylen; |
2bf746cc JB |
1570 | |
1571 | /* Look at the signs, first. */ | |
f872b822 MD |
1572 | if (ysign < xsign) |
1573 | return 1; | |
1574 | if (ysign > xsign) | |
1575 | return -1; | |
2bf746cc JB |
1576 | |
1577 | /* They're the same sign, so see which one has more digits. Note | |
1578 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1579 | ylen = SCM_NUMDIGS (y); |
1580 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1581 | if (ylen > xlen) |
1582 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1583 | if (ylen < xlen) |
1584 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1585 | |
1586 | /* They have the same number of digits, so find the most significant | |
1587 | digit where they differ. */ | |
1588 | while (xlen) | |
1589 | { | |
1590 | --xlen; | |
1591 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1592 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1593 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1594 | ? (xsign ? -1 : 1) | |
1595 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1596 | } |
1597 | ||
1598 | /* The numbers are identical. */ | |
1599 | return 0; | |
0f2d19dd JB |
1600 | } |
1601 | ||
1602 | #ifndef SCM_DIGSTOOBIG | |
1603 | ||
1cc91f1b | 1604 | |
0f2d19dd | 1605 | long |
1bbd0b84 | 1606 | scm_pseudolong (long x) |
0f2d19dd | 1607 | { |
f872b822 MD |
1608 | union |
1609 | { | |
0f2d19dd JB |
1610 | long l; |
1611 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1612 | } |
1613 | p; | |
0f2d19dd | 1614 | scm_sizet i = 0; |
f872b822 MD |
1615 | if (x < 0) |
1616 | x = -x; | |
1617 | while (i < SCM_DIGSPERLONG) | |
1618 | { | |
1619 | p.bd[i++] = SCM_BIGLO (x); | |
1620 | x = SCM_BIGDN (x); | |
1621 | } | |
0f2d19dd JB |
1622 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1623 | return p.l; | |
1624 | } | |
1625 | ||
1626 | #else | |
1627 | ||
1cc91f1b | 1628 | |
0f2d19dd | 1629 | void |
1bbd0b84 | 1630 | scm_longdigs (long x, SCM_BIGDIG digs[]) |
0f2d19dd JB |
1631 | { |
1632 | scm_sizet i = 0; | |
f872b822 MD |
1633 | if (x < 0) |
1634 | x = -x; | |
1635 | while (i < SCM_DIGSPERLONG) | |
1636 | { | |
1637 | digs[i++] = SCM_BIGLO (x); | |
1638 | x = SCM_BIGDN (x); | |
1639 | } | |
0f2d19dd JB |
1640 | } |
1641 | #endif | |
1642 | ||
1643 | ||
1cc91f1b | 1644 | |
0f2d19dd | 1645 | SCM |
1bbd0b84 | 1646 | scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) |
0f2d19dd JB |
1647 | { |
1648 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 1649 | /* Assumes xsgn and sgny scm_equal either 0 or SCM_BIGSIGNFLAG */ |
0f2d19dd | 1650 | long num = 0; |
f872b822 MD |
1651 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1652 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1653 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1654 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1655 | { | |
1656 | do | |
1657 | { | |
1658 | num += (long) zds[i] - x[i]; | |
1659 | if (num < 0) | |
1660 | { | |
1661 | zds[i] = num + SCM_BIGRAD; | |
1662 | num = -1; | |
1663 | } | |
1664 | else | |
1665 | { | |
1666 | zds[i] = SCM_BIGLO (num); | |
1667 | num = 0; | |
1668 | } | |
1669 | } | |
1670 | while (++i < nx); | |
1671 | if (num && nx == ny) | |
1672 | { | |
1673 | num = 1; | |
1674 | i = 0; | |
4260a7fc | 1675 | SCM_SET_CELL_WORD_0 (z, SCM_CELL_WORD_0 (z) ^ SCM_BIGSIGNFLAG); |
f872b822 MD |
1676 | do |
1677 | { | |
1678 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1679 | zds[i++] = SCM_BIGLO (num); | |
1680 | num = SCM_BIGDN (num); | |
1681 | } | |
1682 | while (i < ny); | |
1683 | } | |
1684 | else | |
1685 | while (i < ny) | |
1686 | { | |
1687 | num += zds[i]; | |
1688 | if (num < 0) | |
1689 | { | |
1690 | zds[i++] = num + SCM_BIGRAD; | |
1691 | num = -1; | |
1692 | } | |
1693 | else | |
1694 | { | |
1695 | zds[i++] = SCM_BIGLO (num); | |
1696 | num = 0; | |
1697 | } | |
1698 | } | |
1699 | } | |
1700 | else | |
1701 | { | |
1702 | do | |
1703 | { | |
1704 | num += (long) zds[i] + x[i]; | |
1705 | zds[i++] = SCM_BIGLO (num); | |
1706 | num = SCM_BIGDN (num); | |
1707 | } | |
1708 | while (i < nx); | |
1709 | if (!num) | |
1710 | return z; | |
1711 | while (i < ny) | |
1712 | { | |
1713 | num += zds[i]; | |
1714 | zds[i++] = SCM_BIGLO (num); | |
1715 | num = SCM_BIGDN (num); | |
1716 | if (!num) | |
1717 | return z; | |
1718 | } | |
1719 | if (num) | |
1720 | { | |
1721 | z = scm_adjbig (z, ny + 1); | |
1722 | SCM_BDIGITS (z)[ny] = num; | |
1723 | return z; | |
1724 | } | |
1725 | } | |
1726 | return scm_normbig (z); | |
0f2d19dd JB |
1727 | } |
1728 | ||
1cc91f1b | 1729 | |
0f2d19dd | 1730 | SCM |
1bbd0b84 | 1731 | scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) |
0f2d19dd JB |
1732 | { |
1733 | scm_sizet i = 0, j = nx + ny; | |
1734 | unsigned long n = 0; | |
f872b822 MD |
1735 | SCM z = scm_mkbig (j, sgn); |
1736 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1737 | while (j--) | |
1738 | zds[j] = 0; | |
1739 | do | |
1740 | { | |
1741 | j = 0; | |
1742 | if (x[i]) | |
1743 | { | |
1744 | do | |
1745 | { | |
1746 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1747 | zds[i + j++] = SCM_BIGLO (n); | |
1748 | n = SCM_BIGDN (n); | |
1749 | } | |
1750 | while (j < ny); | |
1751 | if (n) | |
1752 | { | |
1753 | zds[i + j] = n; | |
1754 | n = 0; | |
1755 | } | |
1756 | } | |
0f2d19dd | 1757 | } |
f872b822 MD |
1758 | while (++i < nx); |
1759 | return scm_normbig (z); | |
0f2d19dd JB |
1760 | } |
1761 | ||
1cc91f1b | 1762 | |
0f2d19dd | 1763 | unsigned int |
bb628794 | 1764 | scm_divbigdig (SCM_BIGDIG * ds, scm_sizet h, SCM_BIGDIG div) |
0f2d19dd JB |
1765 | { |
1766 | register unsigned long t2 = 0; | |
f872b822 MD |
1767 | while (h--) |
1768 | { | |
1769 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1770 | ds[h] = t2 / div; | |
1771 | t2 %= div; | |
1772 | } | |
0f2d19dd JB |
1773 | return t2; |
1774 | } | |
1775 | ||
1776 | ||
1cc91f1b | 1777 | |
f4c627b3 | 1778 | static SCM |
1bbd0b84 | 1779 | scm_divbigint (SCM x, long z, int sgn, int mode) |
0f2d19dd | 1780 | { |
f872b822 MD |
1781 | if (z < 0) |
1782 | z = -z; | |
1783 | if (z < SCM_BIGRAD) | |
1784 | { | |
1785 | register unsigned long t2 = 0; | |
1786 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1787 | scm_sizet nd = SCM_NUMDIGS (x); | |
1788 | while (nd--) | |
1789 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1790 | if (mode && t2) | |
1791 | t2 = z - t2; | |
1792 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1793 | } | |
0f2d19dd JB |
1794 | { |
1795 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1796 | unsigned long t2 = scm_pseudolong (z); |
1797 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1798 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1799 | sgn, mode); | |
0f2d19dd JB |
1800 | #else |
1801 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1802 | scm_longdigs (z, t2); |
1803 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1804 | t2, SCM_DIGSPERLONG, | |
1805 | sgn, mode); | |
0f2d19dd JB |
1806 | #endif |
1807 | } | |
1808 | } | |
1809 | ||
1cc91f1b | 1810 | |
f4c627b3 | 1811 | static SCM |
1bbd0b84 | 1812 | scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) |
0f2d19dd JB |
1813 | { |
1814 | /* modes description | |
f872b822 MD |
1815 | 0 remainder |
1816 | 1 scm_modulo | |
1817 | 2 quotient | |
f4c627b3 | 1818 | 3 quotient but returns SCM_UNDEFINED if division is not exact. */ |
0f2d19dd JB |
1819 | scm_sizet i = 0, j = 0; |
1820 | long num = 0; | |
1821 | unsigned long t2 = 0; | |
1822 | SCM z, newy; | |
f872b822 | 1823 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1824 | /* algorithm requires nx >= ny */ |
1825 | if (nx < ny) | |
f872b822 MD |
1826 | switch (modes) |
1827 | { | |
1828 | case 0: /* remainder -- just return x */ | |
1829 | z = scm_mkbig (nx, sgn); | |
1830 | zds = SCM_BDIGITS (z); | |
1831 | do | |
1832 | { | |
1833 | zds[i] = x[i]; | |
1834 | } | |
1835 | while (++i < nx); | |
1836 | return z; | |
1837 | case 1: /* scm_modulo -- return y-x */ | |
1838 | z = scm_mkbig (ny, sgn); | |
1839 | zds = SCM_BDIGITS (z); | |
1840 | do | |
1841 | { | |
1842 | num += (long) y[i] - x[i]; | |
1843 | if (num < 0) | |
1844 | { | |
1845 | zds[i] = num + SCM_BIGRAD; | |
1846 | num = -1; | |
1847 | } | |
1848 | else | |
1849 | { | |
1850 | zds[i] = num; | |
1851 | num = 0; | |
1852 | } | |
1853 | } | |
1854 | while (++i < nx); | |
1855 | while (i < ny) | |
1856 | { | |
1857 | num += y[i]; | |
1858 | if (num < 0) | |
1859 | { | |
1860 | zds[i++] = num + SCM_BIGRAD; | |
1861 | num = -1; | |
1862 | } | |
1863 | else | |
1864 | { | |
1865 | zds[i++] = num; | |
1866 | num = 0; | |
1867 | } | |
1868 | } | |
1869 | goto doadj; | |
1870 | case 2: | |
1871 | return SCM_INUM0; /* quotient is zero */ | |
1872 | case 3: | |
f4c627b3 | 1873 | return SCM_UNDEFINED; /* the division is not exact */ |
0f2d19dd | 1874 | } |
f872b822 MD |
1875 | |
1876 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1877 | zds = SCM_BDIGITS (z); | |
1878 | if (nx == ny) | |
1879 | zds[nx + 1] = 0; | |
1880 | while (!y[ny - 1]) | |
1881 | ny--; /* in case y came in as a psuedolong */ | |
1882 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1883 | { /* normalize operands */ | |
1884 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1885 | newy = scm_mkbig (ny, 0); | |
1886 | yds = SCM_BDIGITS (newy); | |
1887 | while (j < ny) | |
1888 | { | |
1889 | t2 += (unsigned long) y[j] * d; | |
1890 | yds[j++] = SCM_BIGLO (t2); | |
1891 | t2 = SCM_BIGDN (t2); | |
1892 | } | |
1893 | y = yds; | |
1894 | j = 0; | |
1895 | t2 = 0; | |
1896 | while (j < nx) | |
1897 | { | |
1898 | t2 += (unsigned long) x[j] * d; | |
1899 | zds[j++] = SCM_BIGLO (t2); | |
1900 | t2 = SCM_BIGDN (t2); | |
1901 | } | |
1902 | zds[j] = t2; | |
1903 | } | |
1904 | else | |
1905 | { | |
1906 | zds[j = nx] = 0; | |
1907 | while (j--) | |
1908 | zds[j] = x[j]; | |
1909 | } | |
1910 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1911 | do | |
1912 | { /* loop over digits of quotient */ | |
1913 | if (zds[j] == y[ny - 1]) | |
1914 | qhat = SCM_BIGRAD - 1; | |
1915 | else | |
1916 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1917 | if (!qhat) | |
1918 | continue; | |
1919 | i = 0; | |
1920 | num = 0; | |
1921 | t2 = 0; | |
1922 | do | |
1923 | { /* multiply and subtract */ | |
1924 | t2 += (unsigned long) y[i] * qhat; | |
1925 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1926 | if (num < 0) | |
1927 | { | |
1928 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1929 | num = -1; | |
1930 | } | |
1931 | else | |
1932 | { | |
1933 | zds[j - ny + i] = num; | |
1934 | num = 0; | |
1935 | } | |
1936 | t2 = SCM_BIGDN (t2); | |
1937 | } | |
1938 | while (++i < ny); | |
1939 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1940 | while (num) | |
1941 | { /* "add back" required */ | |
1942 | i = 0; | |
1943 | num = 0; | |
1944 | qhat--; | |
1945 | do | |
1946 | { | |
1947 | num += (long) zds[j - ny + i] + y[i]; | |
1948 | zds[j - ny + i] = SCM_BIGLO (num); | |
1949 | num = SCM_BIGDN (num); | |
1950 | } | |
1951 | while (++i < ny); | |
1952 | num--; | |
1953 | } | |
1954 | if (modes & 2) | |
1955 | zds[j] = qhat; | |
1956 | } | |
1957 | while (--j >= ny); | |
1958 | switch (modes) | |
1959 | { | |
1960 | case 3: /* check that remainder==0 */ | |
1961 | for (j = ny; j && !zds[j - 1]; --j); | |
1962 | if (j) | |
f4c627b3 | 1963 | return SCM_UNDEFINED; |
f872b822 MD |
1964 | case 2: /* move quotient down in z */ |
1965 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1966 | for (i = 0; i < j; i++) | |
1967 | zds[i] = zds[i + ny]; | |
1968 | ny = i; | |
1969 | break; | |
1970 | case 1: /* subtract for scm_modulo */ | |
1971 | i = 0; | |
1972 | num = 0; | |
1973 | j = 0; | |
1974 | do | |
1975 | { | |
1976 | num += y[i] - zds[i]; | |
1977 | j = j | zds[i]; | |
1978 | if (num < 0) | |
1979 | { | |
1980 | zds[i] = num + SCM_BIGRAD; | |
1981 | num = -1; | |
1982 | } | |
1983 | else | |
1984 | { | |
1985 | zds[i] = num; | |
1986 | num = 0; | |
1987 | } | |
1988 | } | |
1989 | while (++i < ny); | |
1990 | if (!j) | |
1991 | return SCM_INUM0; | |
1992 | case 0: /* just normalize remainder */ | |
1993 | if (d) | |
1994 | scm_divbigdig (zds, ny, d); | |
1995 | } | |
0f2d19dd | 1996 | doadj: |
f872b822 MD |
1997 | for (j = ny; j && !zds[j - 1]; --j); |
1998 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1999 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
2000 | return z; | |
2001 | return scm_adjbig (z, j); | |
0f2d19dd JB |
2002 | } |
2003 | #endif | |
f872b822 | 2004 | \f |
0f2d19dd JB |
2005 | |
2006 | ||
2007 | ||
0f2d19dd JB |
2008 | |
2009 | /*** NUMBERS -> STRINGS ***/ | |
0f2d19dd | 2010 | int scm_dblprec; |
e4755e5c | 2011 | static const double fx[] = |
f872b822 MD |
2012 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, |
2013 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
2014 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
2015 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
2016 | |
2017 | ||
2018 | ||
1cc91f1b | 2019 | |
0f2d19dd | 2020 | static scm_sizet |
1bbd0b84 | 2021 | idbl2str (double f, char *a) |
0f2d19dd JB |
2022 | { |
2023 | int efmt, dpt, d, i, wp = scm_dblprec; | |
2024 | scm_sizet ch = 0; | |
2025 | int exp = 0; | |
2026 | ||
f872b822 MD |
2027 | if (f == 0.0) |
2028 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
2029 | if (f < 0.0) | |
2030 | { | |
2031 | f = -f; | |
2032 | a[ch++] = '-'; | |
2033 | } | |
2034 | else if (f > 0.0); | |
2035 | else | |
2036 | goto funny; | |
2037 | if (IS_INF (f)) | |
2038 | { | |
2039 | if (ch == 0) | |
2040 | a[ch++] = '+'; | |
2041 | funny: | |
2042 | a[ch++] = '#'; | |
2043 | a[ch++] = '.'; | |
2044 | a[ch++] = '#'; | |
2045 | return ch; | |
2046 | } | |
2047 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
2048 | make-uniform-vector, from causing infinite loops. */ | |
2049 | while (f < 1.0) | |
2050 | { | |
2051 | f *= 10.0; | |
2052 | if (exp-- < DBL_MIN_10_EXP) | |
2053 | goto funny; | |
2054 | } | |
2055 | while (f > 10.0) | |
2056 | { | |
2057 | f *= 0.10; | |
2058 | if (exp++ > DBL_MAX_10_EXP) | |
2059 | goto funny; | |
2060 | } | |
2061 | #else | |
2062 | while (f < 1.0) | |
2063 | { | |
2064 | f *= 10.0; | |
2065 | exp--; | |
2066 | } | |
2067 | while (f > 10.0) | |
2068 | { | |
2069 | f /= 10.0; | |
2070 | exp++; | |
2071 | } | |
2072 | #endif | |
2073 | if (f + fx[wp] >= 10.0) | |
2074 | { | |
2075 | f = 1.0; | |
2076 | exp++; | |
2077 | } | |
0f2d19dd | 2078 | zero: |
f872b822 MD |
2079 | #ifdef ENGNOT |
2080 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
2081 | exp -= dpt++; |
2082 | efmt = 1; | |
f872b822 MD |
2083 | #else |
2084 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 2085 | if (!efmt) |
cda139a7 MD |
2086 | { |
2087 | if (exp < 0) | |
2088 | { | |
2089 | a[ch++] = '0'; | |
2090 | a[ch++] = '.'; | |
2091 | dpt = exp; | |
f872b822 MD |
2092 | while (++dpt) |
2093 | a[ch++] = '0'; | |
cda139a7 MD |
2094 | } |
2095 | else | |
f872b822 | 2096 | dpt = exp + 1; |
cda139a7 | 2097 | } |
0f2d19dd JB |
2098 | else |
2099 | dpt = 1; | |
f872b822 MD |
2100 | #endif |
2101 | ||
2102 | do | |
2103 | { | |
2104 | d = f; | |
2105 | f -= d; | |
2106 | a[ch++] = d + '0'; | |
2107 | if (f < fx[wp]) | |
2108 | break; | |
2109 | if (f + fx[wp] >= 1.0) | |
2110 | { | |
2111 | a[ch - 1]++; | |
2112 | break; | |
2113 | } | |
2114 | f *= 10.0; | |
2115 | if (!(--dpt)) | |
2116 | a[ch++] = '.'; | |
0f2d19dd | 2117 | } |
f872b822 | 2118 | while (wp--); |
0f2d19dd JB |
2119 | |
2120 | if (dpt > 0) | |
cda139a7 | 2121 | { |
f872b822 | 2122 | #ifndef ENGNOT |
cda139a7 MD |
2123 | if ((dpt > 4) && (exp > 6)) |
2124 | { | |
f872b822 | 2125 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 2126 | for (i = ch++; i > d; i--) |
f872b822 | 2127 | a[i] = a[i - 1]; |
cda139a7 MD |
2128 | a[d] = '.'; |
2129 | efmt = 1; | |
2130 | } | |
2131 | else | |
f872b822 | 2132 | #endif |
cda139a7 | 2133 | { |
f872b822 MD |
2134 | while (--dpt) |
2135 | a[ch++] = '0'; | |
cda139a7 MD |
2136 | a[ch++] = '.'; |
2137 | } | |
2138 | } | |
f872b822 MD |
2139 | if (a[ch - 1] == '.') |
2140 | a[ch++] = '0'; /* trailing zero */ | |
2141 | if (efmt && exp) | |
2142 | { | |
2143 | a[ch++] = 'e'; | |
2144 | if (exp < 0) | |
2145 | { | |
2146 | exp = -exp; | |
2147 | a[ch++] = '-'; | |
2148 | } | |
2149 | for (i = 10; i <= exp; i *= 10); | |
2150 | for (i /= 10; i; i /= 10) | |
2151 | { | |
2152 | a[ch++] = exp / i + '0'; | |
2153 | exp %= i; | |
2154 | } | |
0f2d19dd | 2155 | } |
0f2d19dd JB |
2156 | return ch; |
2157 | } | |
2158 | ||
1cc91f1b | 2159 | |
0f2d19dd | 2160 | static scm_sizet |
1bbd0b84 | 2161 | iflo2str (SCM flt, char *str) |
0f2d19dd JB |
2162 | { |
2163 | scm_sizet i; | |
f3ae5d60 MD |
2164 | if (SCM_SLOPPY_REALP (flt)) |
2165 | i = idbl2str (SCM_REAL_VALUE (flt), str); | |
0f2d19dd | 2166 | else |
f872b822 | 2167 | { |
f3ae5d60 MD |
2168 | i = idbl2str (SCM_COMPLEX_REAL (flt), str); |
2169 | if (SCM_COMPLEX_IMAG (flt) != 0.0) | |
2170 | { | |
2171 | if (0 <= SCM_COMPLEX_IMAG (flt)) | |
2172 | str[i++] = '+'; | |
2173 | i += idbl2str (SCM_COMPLEX_IMAG (flt), &str[i]); | |
2174 | str[i++] = 'i'; | |
2175 | } | |
f872b822 | 2176 | } |
0f2d19dd JB |
2177 | return i; |
2178 | } | |
0f2d19dd | 2179 | |
5c11cc9d | 2180 | /* convert a long to a string (unterminated). returns the number of |
1bbd0b84 GB |
2181 | characters in the result. |
2182 | rad is output base | |
2183 | p is destination: worst case (base 2) is SCM_INTBUFLEN */ | |
0f2d19dd | 2184 | scm_sizet |
1bbd0b84 | 2185 | scm_iint2str (long num, int rad, char *p) |
0f2d19dd | 2186 | { |
5c11cc9d GH |
2187 | scm_sizet j = 1; |
2188 | scm_sizet i; | |
2189 | unsigned long n = (num < 0) ? -num : num; | |
2190 | ||
f872b822 | 2191 | for (n /= rad; n > 0; n /= rad) |
5c11cc9d GH |
2192 | j++; |
2193 | ||
2194 | i = j; | |
2195 | if (num < 0) | |
f872b822 | 2196 | { |
f872b822 | 2197 | *p++ = '-'; |
5c11cc9d GH |
2198 | j++; |
2199 | n = -num; | |
f872b822 | 2200 | } |
5c11cc9d GH |
2201 | else |
2202 | n = num; | |
f872b822 MD |
2203 | while (i--) |
2204 | { | |
5c11cc9d GH |
2205 | int d = n % rad; |
2206 | ||
f872b822 MD |
2207 | n /= rad; |
2208 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
2209 | } | |
0f2d19dd JB |
2210 | return j; |
2211 | } | |
2212 | ||
2213 | ||
2214 | #ifdef SCM_BIGDIG | |
1cc91f1b | 2215 | |
0f2d19dd | 2216 | static SCM |
1bbd0b84 | 2217 | big2str (SCM b, unsigned int radix) |
0f2d19dd | 2218 | { |
f872b822 MD |
2219 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
2220 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
2221 | scm_sizet i = SCM_NUMDIGS (t); | |
2222 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
2223 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
2224 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
2225 | scm_sizet k = 0; |
2226 | scm_sizet radct = 0; | |
0f2d19dd | 2227 | SCM_BIGDIG radpow = 1, radmod = 0; |
f872b822 | 2228 | SCM ss = scm_makstr ((long) j, 0); |
9eb364fc | 2229 | char *s = SCM_STRING_CHARS (ss), c; |
f872b822 MD |
2230 | while ((long) radpow * radix < SCM_BIGRAD) |
2231 | { | |
2232 | radpow *= radix; | |
2233 | radct++; | |
2234 | } | |
f872b822 MD |
2235 | while ((i || radmod) && j) |
2236 | { | |
2237 | if (k == 0) | |
2238 | { | |
2239 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
2240 | k = radct; | |
2241 | if (!ds[i - 1]) | |
2242 | i--; | |
2243 | } | |
2244 | c = radmod % radix; | |
2245 | radmod /= radix; | |
2246 | k--; | |
2247 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
2248 | } | |
aa3188a7 DH |
2249 | |
2250 | if (SCM_BIGSIGN (b)) | |
2251 | s[--j] = '-'; | |
2252 | ||
2253 | if (j > 0) | |
2254 | { | |
2255 | /* The pre-reserved string length was too large. */ | |
2256 | unsigned long int length = SCM_STRING_LENGTH (ss); | |
2257 | ss = scm_substring (ss, SCM_MAKINUM (j), SCM_MAKINUM (length)); | |
f872b822 | 2258 | } |
b098016b JB |
2259 | |
2260 | return scm_return_first (ss, t); | |
0f2d19dd JB |
2261 | } |
2262 | #endif | |
2263 | ||
2264 | ||
a1ec6916 | 2265 | SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0, |
bb628794 DH |
2266 | (SCM n, SCM radix), |
2267 | "Return a string holding the external representation of the\n" | |
2268 | "number N in the given RADIX. If N is inexact, a radix of 10\n" | |
2269 | "will be used.") | |
1bbd0b84 | 2270 | #define FUNC_NAME s_scm_number_to_string |
0f2d19dd | 2271 | { |
1bbd0b84 | 2272 | int base; |
98cb6e75 DH |
2273 | |
2274 | if (SCM_UNBNDP (radix)) { | |
2275 | base = 10; | |
2276 | } else { | |
2277 | SCM_VALIDATE_INUM (2, radix); | |
2278 | base = SCM_INUM (radix); | |
2279 | SCM_ASSERT_RANGE (2, radix, base >= 2); | |
2280 | } | |
2281 | ||
bb628794 | 2282 | if (SCM_INUMP (n)) { |
98cb6e75 | 2283 | char num_buf [SCM_INTBUFLEN]; |
bb628794 | 2284 | scm_sizet length = scm_iint2str (SCM_INUM (n), base, num_buf); |
98cb6e75 | 2285 | return scm_makfromstr (num_buf, length, 0); |
bb628794 DH |
2286 | } else if (SCM_BIGP (n)) { |
2287 | return big2str (n, (unsigned int) base); | |
2288 | } else if (SCM_INEXACTP (n)) { | |
98cb6e75 | 2289 | char num_buf [SCM_FLOBUFLEN]; |
bb628794 | 2290 | return scm_makfromstr (num_buf, iflo2str (n, num_buf), 0); |
98cb6e75 | 2291 | } else { |
bb628794 | 2292 | SCM_WRONG_TYPE_ARG (1, n); |
0f2d19dd JB |
2293 | } |
2294 | } | |
1bbd0b84 | 2295 | #undef FUNC_NAME |
0f2d19dd JB |
2296 | |
2297 | ||
2298 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
f3ae5d60 | 2299 | SCM_BIGDIG conditionals */ |
1cc91f1b | 2300 | |
0f2d19dd | 2301 | int |
f3ae5d60 | 2302 | scm_print_real (SCM sexp, SCM port, scm_print_state *pstate) |
0f2d19dd | 2303 | { |
0f2d19dd | 2304 | char num_buf[SCM_FLOBUFLEN]; |
f872b822 | 2305 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd JB |
2306 | return !0; |
2307 | } | |
2308 | ||
f3ae5d60 MD |
2309 | int |
2310 | scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate) | |
2311 | { | |
2312 | char num_buf[SCM_FLOBUFLEN]; | |
2313 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); | |
2314 | return !0; | |
2315 | } | |
1cc91f1b | 2316 | |
0f2d19dd | 2317 | int |
1bbd0b84 | 2318 | scm_bigprint (SCM exp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2319 | { |
2320 | #ifdef SCM_BIGDIG | |
f872b822 | 2321 | exp = big2str (exp, (unsigned int) 10); |
aa3188a7 | 2322 | scm_lfwrite (SCM_STRING_CHARS (exp), (scm_sizet) SCM_STRING_LENGTH (exp), port); |
0f2d19dd | 2323 | #else |
f872b822 | 2324 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
2325 | #endif |
2326 | return !0; | |
2327 | } | |
2328 | /*** END nums->strs ***/ | |
2329 | ||
2330 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee JB |
2331 | |
2332 | static SCM | |
1bbd0b84 | 2333 | scm_small_istr2int (char *str, long len, long radix) |
2a8fecee JB |
2334 | { |
2335 | register long n = 0, ln; | |
2336 | register int c; | |
2337 | register int i = 0; | |
2338 | int lead_neg = 0; | |
f872b822 MD |
2339 | if (0 >= len) |
2340 | return SCM_BOOL_F; /* zero scm_length */ | |
2341 | switch (*str) | |
2342 | { /* leading sign */ | |
2343 | case '-': | |
2344 | lead_neg = 1; | |
2345 | case '+': | |
2346 | if (++i == len) | |
2347 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2348 | } | |
2a8fecee | 2349 | |
f872b822 MD |
2350 | do |
2351 | { | |
2352 | switch (c = str[i++]) | |
2353 | { | |
2354 | case DIGITS: | |
2355 | c = c - '0'; | |
2356 | goto accumulate; | |
2357 | case 'A': | |
2358 | case 'B': | |
2359 | case 'C': | |
2360 | case 'D': | |
2361 | case 'E': | |
2362 | case 'F': | |
2363 | c = c - 'A' + 10; | |
2364 | goto accumulate; | |
2365 | case 'a': | |
2366 | case 'b': | |
2367 | case 'c': | |
2368 | case 'd': | |
2369 | case 'e': | |
2370 | case 'f': | |
2371 | c = c - 'a' + 10; | |
2372 | accumulate: | |
2373 | if (c >= radix) | |
2374 | return SCM_BOOL_F; /* bad digit for radix */ | |
2375 | ln = n; | |
2376 | n = n * radix - c; | |
2377 | /* Negation is a workaround for HP700 cc bug */ | |
2378 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
2379 | goto ovfl; | |
2380 | break; | |
2381 | default: | |
2382 | return SCM_BOOL_F; /* not a digit */ | |
2383 | } | |
2a8fecee | 2384 | } |
f872b822 MD |
2385 | while (i < len); |
2386 | if (!lead_neg) | |
2387 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
2388 | goto ovfl; | |
2389 | return SCM_MAKINUM (n); | |
2a8fecee JB |
2390 | ovfl: /* overflow scheme integer */ |
2391 | return SCM_BOOL_F; | |
2392 | } | |
2393 | ||
2394 | ||
1cc91f1b | 2395 | |
0f2d19dd | 2396 | SCM |
1bbd0b84 | 2397 | scm_istr2int (char *str, long len, long radix) |
0f2d19dd JB |
2398 | { |
2399 | scm_sizet j; | |
2400 | register scm_sizet k, blen = 1; | |
2401 | scm_sizet i = 0; | |
2402 | int c; | |
2403 | SCM res; | |
2404 | register SCM_BIGDIG *ds; | |
2405 | register unsigned long t2; | |
2406 | ||
f872b822 MD |
2407 | if (0 >= len) |
2408 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
2409 | |
2410 | /* Short numbers we parse directly into an int, to avoid the overhead | |
2411 | of creating a bignum. */ | |
2412 | if (len < 6) | |
2413 | return scm_small_istr2int (str, len, radix); | |
2414 | ||
f872b822 MD |
2415 | if (16 == radix) |
2416 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 2417 | else if (10 <= radix) |
f872b822 MD |
2418 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
2419 | else | |
2420 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
2421 | switch (str[0]) | |
2422 | { /* leading sign */ | |
2423 | case '-': | |
2424 | case '+': | |
2425 | if (++i == (unsigned) len) | |
2426 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2427 | } | |
2428 | res = scm_mkbig (j, '-' == str[0]); | |
2429 | ds = SCM_BDIGITS (res); | |
2430 | for (k = j; k--;) | |
2431 | ds[k] = 0; | |
2432 | do | |
2433 | { | |
2434 | switch (c = str[i++]) | |
2435 | { | |
2436 | case DIGITS: | |
2437 | c = c - '0'; | |
2438 | goto accumulate; | |
2439 | case 'A': | |
2440 | case 'B': | |
2441 | case 'C': | |
2442 | case 'D': | |
2443 | case 'E': | |
2444 | case 'F': | |
2445 | c = c - 'A' + 10; | |
2446 | goto accumulate; | |
2447 | case 'a': | |
2448 | case 'b': | |
2449 | case 'c': | |
2450 | case 'd': | |
2451 | case 'e': | |
2452 | case 'f': | |
2453 | c = c - 'a' + 10; | |
2454 | accumulate: | |
2455 | if (c >= radix) | |
2456 | return SCM_BOOL_F; /* bad digit for radix */ | |
2457 | k = 0; | |
2458 | t2 = c; | |
2459 | moretodo: | |
2460 | while (k < blen) | |
2461 | { | |
2462 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2463 | t2 += ds[k] * radix; | |
2464 | ds[k++] = SCM_BIGLO (t2); | |
2465 | t2 = SCM_BIGDN (t2); | |
2466 | } | |
2467 | if (blen > j) | |
2468 | scm_num_overflow ("bignum"); | |
2469 | if (t2) | |
2470 | { | |
2471 | blen++; | |
2472 | goto moretodo; | |
2473 | } | |
2474 | break; | |
2475 | default: | |
2476 | return SCM_BOOL_F; /* not a digit */ | |
2477 | } | |
0f2d19dd | 2478 | } |
f872b822 MD |
2479 | while (i < (unsigned) len); |
2480 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2481 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2482 | return res; | |
2483 | if (j == blen) | |
2484 | return res; | |
2485 | return scm_adjbig (res, blen); | |
0f2d19dd | 2486 | } |
0f2d19dd | 2487 | |
0f2d19dd | 2488 | SCM |
1bbd0b84 | 2489 | scm_istr2flo (char *str, long len, long radix) |
0f2d19dd JB |
2490 | { |
2491 | register int c, i = 0; | |
2492 | double lead_sgn; | |
2493 | double res = 0.0, tmp = 0.0; | |
2494 | int flg = 0; | |
2495 | int point = 0; | |
2496 | SCM second; | |
2497 | ||
f872b822 MD |
2498 | if (i >= len) |
2499 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2500 | |
f872b822 MD |
2501 | switch (*str) |
2502 | { /* leading sign */ | |
2503 | case '-': | |
2504 | lead_sgn = -1.0; | |
2505 | i++; | |
2506 | break; | |
2507 | case '+': | |
2508 | lead_sgn = 1.0; | |
2509 | i++; | |
0f2d19dd JB |
2510 | break; |
2511 | default: | |
f872b822 | 2512 | lead_sgn = 0.0; |
0f2d19dd | 2513 | } |
f872b822 MD |
2514 | if (i == len) |
2515 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2516 | ||
2517 | if (str[i] == 'i' || str[i] == 'I') | |
2518 | { /* handle `+i' and `-i' */ | |
2519 | if (lead_sgn == 0.0) | |
2520 | return SCM_BOOL_F; /* must have leading sign */ | |
2521 | if (++i < len) | |
2522 | return SCM_BOOL_F; /* `i' not last character */ | |
f8de44c1 | 2523 | return scm_make_complex (0.0, lead_sgn); |
f872b822 MD |
2524 | } |
2525 | do | |
2526 | { /* check initial digits */ | |
2527 | switch (c = str[i]) | |
2528 | { | |
2529 | case DIGITS: | |
2530 | c = c - '0'; | |
2531 | goto accum1; | |
2532 | case 'D': | |
2533 | case 'E': | |
2534 | case 'F': | |
2535 | if (radix == 10) | |
2536 | goto out1; /* must be exponent */ | |
2537 | case 'A': | |
2538 | case 'B': | |
2539 | case 'C': | |
2540 | c = c - 'A' + 10; | |
2541 | goto accum1; | |
2542 | case 'd': | |
2543 | case 'e': | |
2544 | case 'f': | |
2545 | if (radix == 10) | |
2546 | goto out1; | |
2547 | case 'a': | |
2548 | case 'b': | |
2549 | case 'c': | |
2550 | c = c - 'a' + 10; | |
2551 | accum1: | |
2552 | if (c >= radix) | |
2553 | return SCM_BOOL_F; /* bad digit for radix */ | |
2554 | res = res * radix + c; | |
2555 | flg = 1; /* res is valid */ | |
2556 | break; | |
2557 | default: | |
2558 | goto out1; | |
2559 | } | |
2560 | } | |
2561 | while (++i < len); | |
0f2d19dd JB |
2562 | out1: |
2563 | ||
2564 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2565 | if (i == len) |
2566 | goto done; | |
0f2d19dd JB |
2567 | |
2568 | /* By here, must have seen a digit, | |
2569 | or must have next char be a `.' with radix==10 */ | |
2570 | if (!flg) | |
f872b822 | 2571 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2572 | return SCM_BOOL_F; |
2573 | ||
f872b822 MD |
2574 | while (str[i] == '#') |
2575 | { /* optional sharps */ | |
2576 | res *= radix; | |
2577 | if (++i == len) | |
2578 | goto done; | |
0f2d19dd | 2579 | } |
0f2d19dd | 2580 | |
f872b822 MD |
2581 | if (str[i] == '/') |
2582 | { | |
2583 | while (++i < len) | |
2584 | { | |
2585 | switch (c = str[i]) | |
2586 | { | |
2587 | case DIGITS: | |
2588 | c = c - '0'; | |
2589 | goto accum2; | |
2590 | case 'A': | |
2591 | case 'B': | |
2592 | case 'C': | |
2593 | case 'D': | |
2594 | case 'E': | |
2595 | case 'F': | |
2596 | c = c - 'A' + 10; | |
2597 | goto accum2; | |
2598 | case 'a': | |
2599 | case 'b': | |
2600 | case 'c': | |
2601 | case 'd': | |
2602 | case 'e': | |
2603 | case 'f': | |
2604 | c = c - 'a' + 10; | |
2605 | accum2: | |
2606 | if (c >= radix) | |
2607 | return SCM_BOOL_F; | |
2608 | tmp = tmp * radix + c; | |
2609 | break; | |
2610 | default: | |
2611 | goto out2; | |
2612 | } | |
2613 | } | |
2614 | out2: | |
2615 | if (tmp == 0.0) | |
2616 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2617 | if (i < len) | |
2618 | while (str[i] == '#') | |
2619 | { /* optional sharps */ | |
2620 | tmp *= radix; | |
2621 | if (++i == len) | |
2622 | break; | |
2623 | } | |
2624 | res /= tmp; | |
2625 | goto done; | |
0f2d19dd | 2626 | } |
f872b822 MD |
2627 | |
2628 | if (str[i] == '.') | |
2629 | { /* decimal point notation */ | |
2630 | if (radix != 10) | |
2631 | return SCM_BOOL_F; /* must be radix 10 */ | |
2632 | while (++i < len) | |
2633 | { | |
2634 | switch (c = str[i]) | |
2635 | { | |
2636 | case DIGITS: | |
2637 | point--; | |
2638 | res = res * 10.0 + c - '0'; | |
2639 | flg = 1; | |
2640 | break; | |
2641 | default: | |
2642 | goto out3; | |
2643 | } | |
2644 | } | |
2645 | out3: | |
2646 | if (!flg) | |
2647 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2648 | if (i == len) | |
2649 | goto adjust; | |
2650 | while (str[i] == '#') | |
2651 | { /* ignore remaining sharps */ | |
2652 | if (++i == len) | |
2653 | goto adjust; | |
2654 | } | |
0f2d19dd | 2655 | } |
0f2d19dd | 2656 | |
f872b822 MD |
2657 | switch (str[i]) |
2658 | { /* exponent */ | |
2659 | case 'd': | |
2660 | case 'D': | |
2661 | case 'e': | |
2662 | case 'E': | |
2663 | case 'f': | |
2664 | case 'F': | |
2665 | case 'l': | |
2666 | case 'L': | |
2667 | case 's': | |
2668 | case 'S': | |
2669 | { | |
2670 | int expsgn = 1, expon = 0; | |
2671 | if (radix != 10) | |
2672 | return SCM_BOOL_F; /* only in radix 10 */ | |
2673 | if (++i == len) | |
2674 | return SCM_BOOL_F; /* bad exponent */ | |
2675 | switch (str[i]) | |
2676 | { | |
2677 | case '-': | |
2678 | expsgn = (-1); | |
2679 | case '+': | |
2680 | if (++i == len) | |
2681 | return SCM_BOOL_F; /* bad exponent */ | |
2682 | } | |
2683 | if (str[i] < '0' || str[i] > '9') | |
2684 | return SCM_BOOL_F; /* bad exponent */ | |
2685 | do | |
2686 | { | |
2687 | switch (c = str[i]) | |
2688 | { | |
2689 | case DIGITS: | |
2690 | expon = expon * 10 + c - '0'; | |
f3ae5d60 | 2691 | if (expon > SCM_MAXEXP) |
dd47565a | 2692 | scm_out_of_range ("string->number", SCM_MAKINUM (expon)); |
f872b822 MD |
2693 | break; |
2694 | default: | |
2695 | goto out4; | |
2696 | } | |
2697 | } | |
2698 | while (++i < len); | |
2699 | out4: | |
2700 | point += expsgn * expon; | |
0f2d19dd | 2701 | } |
f872b822 | 2702 | } |
0f2d19dd JB |
2703 | |
2704 | adjust: | |
2705 | if (point >= 0) | |
f872b822 MD |
2706 | while (point--) |
2707 | res *= 10.0; | |
0f2d19dd | 2708 | else |
f872b822 MD |
2709 | #ifdef _UNICOS |
2710 | while (point++) | |
2711 | res *= 0.1; | |
2712 | #else | |
2713 | while (point++) | |
2714 | res /= 10.0; | |
2715 | #endif | |
0f2d19dd JB |
2716 | |
2717 | done: | |
2718 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2719 | if (lead_sgn == -1.0) |
2720 | res = -res; | |
2721 | if (i == len) | |
f8de44c1 | 2722 | return scm_make_real (res); |
f872b822 MD |
2723 | |
2724 | if (str[i] == 'i' || str[i] == 'I') | |
2725 | { /* pure imaginary number */ | |
2726 | if (lead_sgn == 0.0) | |
2727 | return SCM_BOOL_F; /* must have leading sign */ | |
2728 | if (++i < len) | |
2729 | return SCM_BOOL_F; /* `i' not last character */ | |
f8de44c1 | 2730 | return scm_make_complex (0.0, res); |
f872b822 | 2731 | } |
0f2d19dd | 2732 | |
f872b822 MD |
2733 | switch (str[i++]) |
2734 | { | |
2735 | case '-': | |
2736 | lead_sgn = -1.0; | |
2737 | break; | |
2738 | case '+': | |
2739 | lead_sgn = 1.0; | |
2740 | break; | |
2741 | case '@': | |
2742 | { /* polar input for complex number */ | |
2743 | /* get a `real' for scm_angle */ | |
2744 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
f3ae5d60 | 2745 | if (!SCM_SLOPPY_INEXACTP (second)) |
f872b822 | 2746 | return SCM_BOOL_F; /* not `real' */ |
f3ae5d60 | 2747 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 | 2748 | return SCM_BOOL_F; /* not `real' */ |
5986c47d | 2749 | tmp = SCM_REAL_VALUE (second); |
f8de44c1 | 2750 | return scm_make_complex (res * cos (tmp), res * sin (tmp)); |
f872b822 MD |
2751 | } |
2752 | default: | |
2753 | return SCM_BOOL_F; | |
2754 | } | |
0f2d19dd JB |
2755 | |
2756 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2757 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2758 | return SCM_BOOL_F; | |
0f2d19dd | 2759 | /* handles `x+i' and `x-i' */ |
f872b822 | 2760 | if (i == (len - 1)) |
f8de44c1 | 2761 | return scm_make_complex (res, lead_sgn); |
0f2d19dd | 2762 | /* get a `ureal' for complex part */ |
f872b822 | 2763 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
f3ae5d60 | 2764 | if (!SCM_INEXACTP (second)) |
f872b822 | 2765 | return SCM_BOOL_F; /* not `ureal' */ |
f3ae5d60 | 2766 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 | 2767 | return SCM_BOOL_F; /* not `ureal' */ |
5986c47d | 2768 | tmp = SCM_REAL_VALUE (second); |
f872b822 MD |
2769 | if (tmp < 0.0) |
2770 | return SCM_BOOL_F; /* not `ureal' */ | |
f8de44c1 | 2771 | return scm_make_complex (res, (lead_sgn * tmp)); |
0f2d19dd | 2772 | } |
0f2d19dd JB |
2773 | |
2774 | ||
1cc91f1b | 2775 | |
0f2d19dd | 2776 | SCM |
1bbd0b84 | 2777 | scm_istring2number (char *str, long len, long radix) |
0f2d19dd JB |
2778 | { |
2779 | int i = 0; | |
2780 | char ex = 0; | |
2781 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2782 | SCM res; | |
f872b822 MD |
2783 | if (len == 1) |
2784 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2785 | return SCM_BOOL_F; |
2786 | ||
f872b822 MD |
2787 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2788 | switch (str[i++]) | |
2789 | { | |
2790 | case 'b': | |
2791 | case 'B': | |
2792 | if (rx_p++) | |
2793 | return SCM_BOOL_F; | |
2794 | radix = 2; | |
2795 | break; | |
2796 | case 'o': | |
2797 | case 'O': | |
2798 | if (rx_p++) | |
2799 | return SCM_BOOL_F; | |
2800 | radix = 8; | |
2801 | break; | |
2802 | case 'd': | |
2803 | case 'D': | |
2804 | if (rx_p++) | |
2805 | return SCM_BOOL_F; | |
2806 | radix = 10; | |
2807 | break; | |
2808 | case 'x': | |
2809 | case 'X': | |
2810 | if (rx_p++) | |
2811 | return SCM_BOOL_F; | |
2812 | radix = 16; | |
2813 | break; | |
2814 | case 'i': | |
2815 | case 'I': | |
2816 | if (ex_p++) | |
2817 | return SCM_BOOL_F; | |
2818 | ex = 2; | |
2819 | break; | |
2820 | case 'e': | |
2821 | case 'E': | |
2822 | if (ex_p++) | |
2823 | return SCM_BOOL_F; | |
2824 | ex = 1; | |
2825 | break; | |
2826 | default: | |
2827 | return SCM_BOOL_F; | |
2828 | } | |
2829 | ||
2830 | switch (ex) | |
2831 | { | |
2832 | case 1: | |
2833 | return scm_istr2int (&str[i], len - i, radix); | |
2834 | case 0: | |
2835 | res = scm_istr2int (&str[i], len - i, radix); | |
2836 | if (SCM_NFALSEP (res)) | |
2837 | return res; | |
f872b822 MD |
2838 | case 2: |
2839 | return scm_istr2flo (&str[i], len - i, radix); | |
f872b822 | 2840 | } |
0f2d19dd JB |
2841 | return SCM_BOOL_F; |
2842 | } | |
2843 | ||
2844 | ||
a1ec6916 | 2845 | SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0, |
bb628794 DH |
2846 | (SCM string, SCM radix), |
2847 | "Returns a number of the maximally precise representation\n" | |
2848 | "expressed by the given STRING. RADIX must be an exact integer,\n" | |
2849 | "either 2, 8, 10, or 16. If supplied, RADIX is a default radix\n" | |
2850 | "that may be overridden by an explicit radix prefix in STRING\n" | |
2851 | "(e.g. \"#o177\"). If RADIX is not supplied, then the default\n" | |
2852 | "radix is 10. If string is not a syntactically valid notation\n" | |
2853 | "for a number, then `string->number' returns #f. (r5rs)") | |
1bbd0b84 | 2854 | #define FUNC_NAME s_scm_string_to_number |
0f2d19dd JB |
2855 | { |
2856 | SCM answer; | |
1bbd0b84 | 2857 | int base; |
a6d9e5ab | 2858 | SCM_VALIDATE_STRING (1, string); |
3b3b36dd | 2859 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); |
34f0f2b8 | 2860 | answer = scm_istring2number (SCM_STRING_CHARS (string), |
a6d9e5ab | 2861 | SCM_STRING_LENGTH (string), |
1bbd0b84 | 2862 | base); |
bb628794 | 2863 | return scm_return_first (answer, string); |
0f2d19dd | 2864 | } |
1bbd0b84 | 2865 | #undef FUNC_NAME |
0f2d19dd JB |
2866 | /*** END strs->nums ***/ |
2867 | ||
5986c47d | 2868 | |
0f2d19dd | 2869 | SCM |
f3ae5d60 | 2870 | scm_make_real (double x) |
0f2d19dd JB |
2871 | { |
2872 | SCM z; | |
3a9809df DH |
2873 | SCM_NEWCELL2 (z); |
2874 | SCM_SET_CELL_TYPE (z, scm_tc16_real); | |
2875 | SCM_REAL_VALUE (z) = x; | |
0f2d19dd JB |
2876 | return z; |
2877 | } | |
0f2d19dd | 2878 | |
5986c47d | 2879 | |
f3ae5d60 MD |
2880 | SCM |
2881 | scm_make_complex (double x, double y) | |
2882 | { | |
3a9809df DH |
2883 | if (y == 0.0) { |
2884 | return scm_make_real (x); | |
2885 | } else { | |
2886 | SCM z; | |
2887 | SCM_NEWSMOB (z, scm_tc16_complex, scm_must_malloc (2L * sizeof (double), "complex")); | |
2888 | SCM_COMPLEX_REAL (z) = x; | |
2889 | SCM_COMPLEX_IMAG (z) = y; | |
2890 | return z; | |
2891 | } | |
f3ae5d60 | 2892 | } |
1cc91f1b | 2893 | |
5986c47d | 2894 | |
0f2d19dd | 2895 | SCM |
1bbd0b84 | 2896 | scm_bigequal (SCM x, SCM y) |
0f2d19dd JB |
2897 | { |
2898 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2899 | if (0 == scm_bigcomp (x, y)) |
2900 | return SCM_BOOL_T; | |
0f2d19dd JB |
2901 | #endif |
2902 | return SCM_BOOL_F; | |
2903 | } | |
2904 | ||
0f2d19dd | 2905 | SCM |
f3ae5d60 | 2906 | scm_real_equalp (SCM x, SCM y) |
0f2d19dd | 2907 | { |
f3ae5d60 | 2908 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); |
0f2d19dd JB |
2909 | } |
2910 | ||
f3ae5d60 MD |
2911 | SCM |
2912 | scm_complex_equalp (SCM x, SCM y) | |
2913 | { | |
2914 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2915 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2916 | } | |
0f2d19dd JB |
2917 | |
2918 | ||
2919 | ||
1bbd0b84 | 2920 | SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
1cc91f1b | 2921 | |
a1ec6916 | 2922 | SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0, |
1bbd0b84 | 2923 | (SCM x), |
bb628794 DH |
2924 | "Return #t if X is a complex number, #f else. Note that the\n" |
2925 | "sets of real, rational and integer values form subsets of the\n" | |
2926 | "set of complex numbers, i. e. the predicate will also be\n" | |
2927 | "fulfilled if X is a real, rational or integer number.") | |
1bbd0b84 | 2928 | #define FUNC_NAME s_scm_number_p |
0f2d19dd | 2929 | { |
bb628794 | 2930 | return SCM_BOOL (SCM_NUMBERP (x)); |
0f2d19dd | 2931 | } |
1bbd0b84 | 2932 | #undef FUNC_NAME |
0f2d19dd JB |
2933 | |
2934 | ||
1bbd0b84 | 2935 | SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
1cc91f1b | 2936 | |
a1ec6916 | 2937 | SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0, |
1bbd0b84 | 2938 | (SCM x), |
bb628794 DH |
2939 | "Return #t if X is a rational number, #f else. Note that the\n" |
2940 | "set of integer values forms a subset of the set of rational\n" | |
2941 | "numbers, i. e. the predicate will also be fulfilled if X is an\n" | |
2942 | "integer number.") | |
1bbd0b84 | 2943 | #define FUNC_NAME s_scm_real_p |
0f2d19dd | 2944 | { |
bb628794 | 2945 | if (SCM_INUMP (x)) { |
0f2d19dd | 2946 | return SCM_BOOL_T; |
bb628794 | 2947 | } else if (SCM_IMP (x)) { |
0f2d19dd | 2948 | return SCM_BOOL_F; |
bb628794 | 2949 | } else if (SCM_SLOPPY_REALP (x)) { |
0f2d19dd | 2950 | return SCM_BOOL_T; |
bb628794 | 2951 | } else if (SCM_BIGP (x)) { |
0f2d19dd | 2952 | return SCM_BOOL_T; |
bb628794 DH |
2953 | } else { |
2954 | return SCM_BOOL_F; | |
2955 | } | |
0f2d19dd | 2956 | } |
1bbd0b84 | 2957 | #undef FUNC_NAME |
0f2d19dd JB |
2958 | |
2959 | ||
a1ec6916 | 2960 | SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0, |
1bbd0b84 | 2961 | (SCM x), |
bb628794 | 2962 | "Return #t if X is an integer number, #f else.") |
1bbd0b84 | 2963 | #define FUNC_NAME s_scm_integer_p |
0f2d19dd JB |
2964 | { |
2965 | double r; | |
f872b822 MD |
2966 | if (SCM_INUMP (x)) |
2967 | return SCM_BOOL_T; | |
2968 | if (SCM_IMP (x)) | |
2969 | return SCM_BOOL_F; | |
f872b822 MD |
2970 | if (SCM_BIGP (x)) |
2971 | return SCM_BOOL_T; | |
f3ae5d60 | 2972 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 | 2973 | return SCM_BOOL_F; |
f3ae5d60 | 2974 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 | 2975 | return SCM_BOOL_F; |
5986c47d | 2976 | r = SCM_REAL_VALUE (x); |
f872b822 MD |
2977 | if (r == floor (r)) |
2978 | return SCM_BOOL_T; | |
0f2d19dd JB |
2979 | return SCM_BOOL_F; |
2980 | } | |
1bbd0b84 | 2981 | #undef FUNC_NAME |
0f2d19dd JB |
2982 | |
2983 | ||
a1ec6916 | 2984 | SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0, |
1bbd0b84 | 2985 | (SCM x), |
bb628794 | 2986 | "Return #t if X is an inexact number, #f else.") |
1bbd0b84 | 2987 | #define FUNC_NAME s_scm_inexact_p |
0f2d19dd | 2988 | { |
f4c627b3 | 2989 | return SCM_BOOL (SCM_INEXACTP (x)); |
0f2d19dd | 2990 | } |
1bbd0b84 | 2991 | #undef FUNC_NAME |
0f2d19dd JB |
2992 | |
2993 | ||
152f82bf | 2994 | SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p); |
1cc91f1b | 2995 | |
0f2d19dd | 2996 | SCM |
6e8d25a6 | 2997 | scm_num_eq_p (SCM x, SCM y) |
0f2d19dd | 2998 | { |
f4c627b3 DH |
2999 | if (SCM_INUMP (x)) { |
3000 | long xx = SCM_INUM (x); | |
3001 | if (SCM_INUMP (y)) { | |
3002 | long yy = SCM_INUM (y); | |
3003 | return SCM_BOOL (xx == yy); | |
3004 | } else if (SCM_BIGP (y)) { | |
3005 | return SCM_BOOL_F; | |
3006 | } else if (SCM_REALP (y)) { | |
3007 | return SCM_BOOL ((double) xx == SCM_REAL_VALUE (y)); | |
3008 | } else if (SCM_COMPLEXP (y)) { | |
3009 | return SCM_BOOL (((double) xx == SCM_COMPLEX_REAL (y)) | |
3010 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
3011 | } else { | |
3012 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
f872b822 | 3013 | } |
f4c627b3 DH |
3014 | } else if (SCM_BIGP (x)) { |
3015 | if (SCM_INUMP (y)) { | |
3016 | return SCM_BOOL_F; | |
3017 | } else if (SCM_BIGP (y)) { | |
3018 | return SCM_BOOL (0 == scm_bigcomp (x, y)); | |
3019 | } else if (SCM_REALP (y)) { | |
3020 | return SCM_BOOL (scm_big2dbl (x) == SCM_REAL_VALUE (y)); | |
3021 | } else if (SCM_COMPLEXP (y)) { | |
3022 | return SCM_BOOL ((scm_big2dbl (x) == SCM_COMPLEX_REAL (y)) | |
3023 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
3024 | } else { | |
3025 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
3026 | } | |
3027 | } else if (SCM_REALP (x)) { | |
3028 | if (SCM_INUMP (y)) { | |
3029 | return SCM_BOOL (SCM_REAL_VALUE (x) == (double) SCM_INUM (y)); | |
3030 | } else if (SCM_BIGP (y)) { | |
3031 | return SCM_BOOL (SCM_REAL_VALUE (x) == scm_big2dbl (y)); | |
3032 | } else if (SCM_REALP (y)) { | |
3033 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); | |
3034 | } else if (SCM_COMPLEXP (y)) { | |
3035 | return SCM_BOOL ((SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y)) | |
3036 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
3037 | } else { | |
3038 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
f872b822 | 3039 | } |
f4c627b3 DH |
3040 | } else if (SCM_COMPLEXP (x)) { |
3041 | if (SCM_INUMP (y)) { | |
3042 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == (double) SCM_INUM (y)) | |
3043 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
3044 | } else if (SCM_BIGP (y)) { | |
3045 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == scm_big2dbl (y)) | |
3046 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
3047 | } else if (SCM_REALP (y)) { | |
3048 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y)) | |
3049 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
3050 | } else if (SCM_COMPLEXP (y)) { | |
3051 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y)) | |
3052 | && (SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y))); | |
3053 | } else { | |
3054 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
3055 | } | |
3056 | } else { | |
3057 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p); | |
3058 | } | |
0f2d19dd JB |
3059 | } |
3060 | ||
3061 | ||
152f82bf | 3062 | SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p); |
1cc91f1b | 3063 | |
0f2d19dd | 3064 | SCM |
6e8d25a6 | 3065 | scm_less_p (SCM x, SCM y) |
0f2d19dd | 3066 | { |
f4c627b3 DH |
3067 | if (SCM_INUMP (x)) { |
3068 | long xx = SCM_INUM (x); | |
3069 | if (SCM_INUMP (y)) { | |
3070 | long yy = SCM_INUM (y); | |
3071 | return SCM_BOOL (xx < yy); | |
3072 | } else if (SCM_BIGP (y)) { | |
3073 | return SCM_BOOL (!SCM_BIGSIGN (y)); | |
3074 | } else if (SCM_REALP (y)) { | |
3075 | return SCM_BOOL ((double) xx < SCM_REAL_VALUE (y)); | |
3076 | } else { | |
3077 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
f872b822 | 3078 | } |
f4c627b3 DH |
3079 | } else if (SCM_BIGP (x)) { |
3080 | if (SCM_INUMP (y)) { | |
3081 | return SCM_BOOL (SCM_BIGSIGN (x)); | |
3082 | } else if (SCM_BIGP (y)) { | |
3083 | return SCM_BOOL (1 == scm_bigcomp (x, y)); | |
3084 | } else if (SCM_REALP (y)) { | |
3085 | return SCM_BOOL (scm_big2dbl (x) < SCM_REAL_VALUE (y)); | |
3086 | } else { | |
3087 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
3088 | } | |
3089 | } else if (SCM_REALP (x)) { | |
3090 | if (SCM_INUMP (y)) { | |
3091 | return SCM_BOOL (SCM_REAL_VALUE (x) < (double) SCM_INUM (y)); | |
3092 | } else if (SCM_BIGP (y)) { | |
3093 | return SCM_BOOL (SCM_REAL_VALUE (x) < scm_big2dbl (y)); | |
3094 | } else if (SCM_REALP (y)) { | |
3095 | return SCM_BOOL (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)); | |
3096 | } else { | |
3097 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
f872b822 | 3098 | } |
f4c627b3 DH |
3099 | } else { |
3100 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p); | |
3101 | } | |
0f2d19dd JB |
3102 | } |
3103 | ||
3104 | ||
c76b1eaf MD |
3105 | SCM_GPROC1 (s_scm_gr_p, ">", scm_tc7_rpsubr, scm_gr_p, g_gr_p); |
3106 | /* "Return #t if the list of parameters is monotonically\n" | |
3107 | * "increasing." | |
3108 | */ | |
1bbd0b84 | 3109 | #define FUNC_NAME s_scm_gr_p |
c76b1eaf MD |
3110 | SCM |
3111 | scm_gr_p (SCM x, SCM y) | |
0f2d19dd | 3112 | { |
c76b1eaf MD |
3113 | if (!SCM_NUMBERP (x)) |
3114 | SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG1, FUNC_NAME); | |
3115 | else if (!SCM_NUMBERP (y)) | |
3116 | SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG2, FUNC_NAME); | |
3117 | else | |
3118 | return scm_less_p (y, x); | |
0f2d19dd | 3119 | } |
1bbd0b84 | 3120 | #undef FUNC_NAME |
0f2d19dd JB |
3121 | |
3122 | ||
c76b1eaf MD |
3123 | SCM_GPROC1 (s_scm_leq_p, "<=", scm_tc7_rpsubr, scm_leq_p, g_leq_p); |
3124 | /* "Return #t if the list of parameters is monotonically\n" | |
3125 | * "non-decreasing." | |
3126 | */ | |
1bbd0b84 | 3127 | #define FUNC_NAME s_scm_leq_p |
c76b1eaf MD |
3128 | SCM |
3129 | scm_leq_p (SCM x, SCM y) | |
0f2d19dd | 3130 | { |
c76b1eaf MD |
3131 | if (!SCM_NUMBERP (x)) |
3132 | SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG1, FUNC_NAME); | |
3133 | else if (!SCM_NUMBERP (y)) | |
3134 | SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG2, FUNC_NAME); | |
3135 | else | |
3136 | return SCM_BOOL_NOT (scm_less_p (y, x)); | |
0f2d19dd | 3137 | } |
1bbd0b84 | 3138 | #undef FUNC_NAME |
0f2d19dd JB |
3139 | |
3140 | ||
c76b1eaf MD |
3141 | SCM_GPROC1 (s_scm_geq_p, ">=", scm_tc7_rpsubr, scm_geq_p, g_geq_p); |
3142 | /* "Return #t if the list of parameters is monotonically\n" | |
3143 | * "non-increasing." | |
3144 | */ | |
1bbd0b84 | 3145 | #define FUNC_NAME s_scm_geq_p |
c76b1eaf MD |
3146 | SCM |
3147 | scm_geq_p (SCM x, SCM y) | |
0f2d19dd | 3148 | { |
c76b1eaf MD |
3149 | if (!SCM_NUMBERP (x)) |
3150 | SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG1, FUNC_NAME); | |
3151 | else if (!SCM_NUMBERP (y)) | |
3152 | SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG2, FUNC_NAME); | |
3153 | else | |
f872b822 | 3154 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd | 3155 | } |
1bbd0b84 | 3156 | #undef FUNC_NAME |
0f2d19dd JB |
3157 | |
3158 | ||
152f82bf | 3159 | SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p); |
1cc91f1b | 3160 | |
0f2d19dd | 3161 | SCM |
6e8d25a6 | 3162 | scm_zero_p (SCM z) |
0f2d19dd | 3163 | { |
c2ff8ab0 DH |
3164 | if (SCM_INUMP (z)) { |
3165 | return SCM_BOOL (SCM_EQ_P (z, SCM_INUM0)); | |
3166 | } else if (SCM_BIGP (z)) { | |
3167 | return SCM_BOOL_F; | |
3168 | } else if (SCM_REALP (z)) { | |
3169 | return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0); | |
3170 | } else if (SCM_COMPLEXP (z)) { | |
3171 | return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0 | |
3172 | && SCM_COMPLEX_IMAG (z) == 0.0); | |
3173 | } else { | |
3174 | SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p); | |
3175 | } | |
0f2d19dd JB |
3176 | } |
3177 | ||
3178 | ||
152f82bf | 3179 | SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p); |
1cc91f1b | 3180 | |
0f2d19dd | 3181 | SCM |
6e8d25a6 | 3182 | scm_positive_p (SCM x) |
0f2d19dd | 3183 | { |
c2ff8ab0 DH |
3184 | if (SCM_INUMP (x)) { |
3185 | return SCM_BOOL (SCM_INUM (x) > 0); | |
3186 | } else if (SCM_BIGP (x)) { | |
3187 | return SCM_BOOL (!SCM_BIGSIGN (x)); | |
3188 | } else if (SCM_REALP (x)) { | |
3189 | return SCM_BOOL(SCM_REAL_VALUE (x) > 0.0); | |
3190 | } else { | |
3191 | SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p); | |
3192 | } | |
0f2d19dd JB |
3193 | } |
3194 | ||
3195 | ||
152f82bf | 3196 | SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p); |
1cc91f1b | 3197 | |
0f2d19dd | 3198 | SCM |
6e8d25a6 | 3199 | scm_negative_p (SCM x) |
0f2d19dd | 3200 | { |
c2ff8ab0 DH |
3201 | if (SCM_INUMP (x)) { |
3202 | return SCM_BOOL (SCM_INUM (x) < 0); | |
3203 | } else if (SCM_BIGP (x)) { | |
3204 | return SCM_BOOL (SCM_BIGSIGN (x)); | |
3205 | } else if (SCM_REALP (x)) { | |
3206 | return SCM_BOOL(SCM_REAL_VALUE (x) < 0.0); | |
3207 | } else { | |
3208 | SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p); | |
3209 | } | |
0f2d19dd JB |
3210 | } |
3211 | ||
3212 | ||
9de33deb | 3213 | SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max); |
1cc91f1b | 3214 | |
0f2d19dd | 3215 | SCM |
6e8d25a6 | 3216 | scm_max (SCM x, SCM y) |
0f2d19dd | 3217 | { |
f4c627b3 DH |
3218 | if (SCM_UNBNDP (y)) { |
3219 | if (SCM_UNBNDP (x)) { | |
3220 | SCM_WTA_DISPATCH_0 (g_max, x, SCM_ARG1, s_max); | |
3221 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3222 | return x; |
f4c627b3 DH |
3223 | } else { |
3224 | SCM_WTA_DISPATCH_1 (g_max, x, SCM_ARG1, s_max); | |
f872b822 | 3225 | } |
f4c627b3 DH |
3226 | } |
3227 | ||
3228 | if (SCM_INUMP (x)) { | |
3229 | long xx = SCM_INUM (x); | |
3230 | if (SCM_INUMP (y)) { | |
3231 | long yy = SCM_INUM (y); | |
3232 | return (xx < yy) ? y : x; | |
3233 | } else if (SCM_BIGP (y)) { | |
3234 | return SCM_BIGSIGN (y) ? x : y; | |
3235 | } else if (SCM_REALP (y)) { | |
3236 | double z = xx; | |
3237 | return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z); | |
3238 | } else { | |
3239 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
f872b822 | 3240 | } |
f4c627b3 DH |
3241 | } else if (SCM_BIGP (x)) { |
3242 | if (SCM_INUMP (y)) { | |
3243 | return SCM_BIGSIGN (x) ? y : x; | |
3244 | } else if (SCM_BIGP (y)) { | |
3245 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
3246 | } else if (SCM_REALP (y)) { | |
3247 | double z = scm_big2dbl (x); | |
3248 | return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z); | |
3249 | } else { | |
3250 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
3251 | } | |
3252 | } else if (SCM_REALP (x)) { | |
3253 | if (SCM_INUMP (y)) { | |
3254 | double z = SCM_INUM (y); | |
3255 | return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x; | |
3256 | } else if (SCM_BIGP (y)) { | |
3257 | double z = scm_big2dbl (y); | |
3258 | return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x; | |
3259 | } else if (SCM_REALP (y)) { | |
3260 | return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? y : x; | |
3261 | } else { | |
3262 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
f872b822 | 3263 | } |
f4c627b3 DH |
3264 | } else { |
3265 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max); | |
3266 | } | |
0f2d19dd JB |
3267 | } |
3268 | ||
3269 | ||
9de33deb | 3270 | SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min); |
1cc91f1b | 3271 | |
0f2d19dd | 3272 | SCM |
6e8d25a6 | 3273 | scm_min (SCM x, SCM y) |
0f2d19dd | 3274 | { |
f4c627b3 DH |
3275 | if (SCM_UNBNDP (y)) { |
3276 | if (SCM_UNBNDP (x)) { | |
3277 | SCM_WTA_DISPATCH_0 (g_min, x, SCM_ARG1, s_min); | |
3278 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3279 | return x; |
f4c627b3 DH |
3280 | } else { |
3281 | SCM_WTA_DISPATCH_1 (g_min, x, SCM_ARG1, s_min); | |
f872b822 | 3282 | } |
f4c627b3 DH |
3283 | } |
3284 | ||
3285 | if (SCM_INUMP (x)) { | |
3286 | long xx = SCM_INUM (x); | |
3287 | if (SCM_INUMP (y)) { | |
3288 | long yy = SCM_INUM (y); | |
3289 | return (xx < yy) ? x : y; | |
3290 | } else if (SCM_BIGP (y)) { | |
3291 | return SCM_BIGSIGN (y) ? y : x; | |
3292 | } else if (SCM_REALP (y)) { | |
3293 | double z = xx; | |
3294 | return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y; | |
3295 | } else { | |
3296 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
f872b822 | 3297 | } |
f4c627b3 DH |
3298 | } else if (SCM_BIGP (x)) { |
3299 | if (SCM_INUMP (y)) { | |
3300 | return SCM_BIGSIGN (x) ? x : y; | |
3301 | } else if (SCM_BIGP (y)) { | |
3302 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
3303 | } else if (SCM_REALP (y)) { | |
3304 | double z = scm_big2dbl (x); | |
3305 | return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y; | |
3306 | } else { | |
3307 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
3308 | } | |
3309 | } else if (SCM_REALP (x)) { | |
3310 | if (SCM_INUMP (y)) { | |
3311 | double z = SCM_INUM (y); | |
3312 | return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z); | |
3313 | } else if (SCM_BIGP (y)) { | |
3314 | double z = scm_big2dbl (y); | |
3315 | return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z); | |
3316 | } else if (SCM_REALP (y)) { | |
3317 | return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? x : y; | |
3318 | } else { | |
3319 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
f872b822 | 3320 | } |
f4c627b3 DH |
3321 | } else { |
3322 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min); | |
3323 | } | |
0f2d19dd JB |
3324 | } |
3325 | ||
3326 | ||
9de33deb | 3327 | SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum); |
1cc91f1b | 3328 | |
0f2d19dd | 3329 | SCM |
6e8d25a6 | 3330 | scm_sum (SCM x, SCM y) |
0f2d19dd | 3331 | { |
98cb6e75 DH |
3332 | if (SCM_UNBNDP (y)) { |
3333 | if (SCM_UNBNDP (x)) { | |
3334 | return SCM_INUM0; | |
3335 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3336 | return x; |
98cb6e75 DH |
3337 | } else { |
3338 | SCM_WTA_DISPATCH_1 (g_sum, x, SCM_ARG1, s_sum); | |
f872b822 | 3339 | } |
98cb6e75 | 3340 | } |
c209c88e | 3341 | |
98cb6e75 DH |
3342 | if (SCM_INUMP (x)) { |
3343 | long int xx = SCM_INUM (x); | |
3344 | if (SCM_INUMP (y)) { | |
3345 | long int yy = SCM_INUM (y); | |
3346 | long int z = xx + yy; | |
3347 | if (SCM_FIXABLE (z)) { | |
3348 | return SCM_MAKINUM (z); | |
3349 | } else { | |
3350 | #ifdef SCM_BIGDIG | |
3351 | return scm_long2big (z); | |
3352 | #else /* SCM_BIGDIG */ | |
3353 | return scm_make_real ((double) z); | |
3354 | #endif /* SCM_BIGDIG */ | |
3355 | } | |
3356 | } else if (SCM_BIGP (y)) { | |
3357 | intbig: | |
f872b822 | 3358 | { |
98cb6e75 DH |
3359 | long int xx = SCM_INUM (x); |
3360 | #ifndef SCM_DIGSTOOBIG | |
3361 | long z = scm_pseudolong (xx); | |
3362 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3363 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0); | |
3364 | #else /* SCM_DIGSTOOBIG */ | |
3365 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; | |
3366 | scm_longdigs (xx, zdigs); | |
3367 | return scm_addbig (zdigs, SCM_DIGSPERLONG, | |
3368 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0); | |
3369 | #endif /* SCM_DIGSTOOBIG */ | |
0f2d19dd | 3370 | } |
98cb6e75 DH |
3371 | } else if (SCM_REALP (y)) { |
3372 | return scm_make_real (xx + SCM_REAL_VALUE (y)); | |
3373 | } else if (SCM_COMPLEXP (y)) { | |
3374 | return scm_make_complex (xx + SCM_COMPLEX_REAL (y), | |
3375 | SCM_COMPLEX_IMAG (y)); | |
3376 | } else { | |
3377 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
f872b822 | 3378 | } |
98cb6e75 DH |
3379 | } else if (SCM_BIGP (x)) { |
3380 | if (SCM_INUMP (y)) { | |
3381 | SCM_SWAP (x, y); | |
3382 | goto intbig; | |
3383 | } else if (SCM_BIGP (y)) { | |
3384 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) { | |
3385 | SCM_SWAP (x, y); | |
3386 | } | |
3387 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3388 | SCM_BIGSIGN (x), y, 0); | |
3389 | } else if (SCM_REALP (y)) { | |
3390 | return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y)); | |
3391 | } else if (SCM_COMPLEXP (y)) { | |
3392 | return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y), | |
3393 | SCM_COMPLEX_IMAG (y)); | |
3394 | } else { | |
3395 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
f872b822 | 3396 | } |
98cb6e75 DH |
3397 | } else if (SCM_REALP (x)) { |
3398 | if (SCM_INUMP (y)) { | |
3399 | return scm_make_real (SCM_REAL_VALUE (x) + SCM_INUM (y)); | |
3400 | } else if (SCM_BIGP (y)) { | |
3401 | return scm_make_real (SCM_REAL_VALUE (x) + scm_big2dbl (y)); | |
3402 | } else if (SCM_REALP (y)) { | |
3403 | return scm_make_real (SCM_REAL_VALUE (x) + SCM_REAL_VALUE (y)); | |
3404 | } else if (SCM_COMPLEXP (y)) { | |
3405 | return scm_make_complex (SCM_REAL_VALUE (x) + SCM_COMPLEX_REAL (y), | |
3406 | SCM_COMPLEX_IMAG (y)); | |
3407 | } else { | |
3408 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
3409 | } | |
3410 | } else if (SCM_COMPLEXP (x)) { | |
3411 | if (SCM_INUMP (y)) { | |
3412 | return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_INUM (y), | |
3413 | SCM_COMPLEX_IMAG (x)); | |
3414 | } else if (SCM_BIGP (y)) { | |
3415 | return scm_make_complex (SCM_COMPLEX_REAL (x) + scm_big2dbl (y), | |
3416 | SCM_COMPLEX_IMAG (x)); | |
3417 | } else if (SCM_REALP (y)) { | |
3418 | return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_REAL_VALUE (y), | |
3419 | SCM_COMPLEX_IMAG (x)); | |
3420 | } else if (SCM_COMPLEXP (y)) { | |
3421 | return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_COMPLEX_REAL (y), | |
3422 | SCM_COMPLEX_IMAG (x) + SCM_COMPLEX_IMAG (y)); | |
3423 | } else { | |
3424 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
3425 | } | |
3426 | } else { | |
3427 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum); | |
3428 | } | |
0f2d19dd JB |
3429 | } |
3430 | ||
3431 | ||
9de33deb | 3432 | SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference); |
1cc91f1b | 3433 | |
0f2d19dd | 3434 | SCM |
6e8d25a6 | 3435 | scm_difference (SCM x, SCM y) |
0f2d19dd | 3436 | { |
98cb6e75 DH |
3437 | if (SCM_UNBNDP (y)) { |
3438 | if (SCM_INUMP (x)) { | |
3439 | long xx = -SCM_INUM (x); | |
3440 | if (SCM_FIXABLE (xx)) { | |
3441 | return SCM_MAKINUM (xx); | |
3442 | } else { | |
f872b822 | 3443 | #ifdef SCM_BIGDIG |
98cb6e75 | 3444 | return scm_long2big (xx); |
f3ae5d60 | 3445 | #else |
98cb6e75 | 3446 | return scm_make_real ((double) xx); |
f3ae5d60 | 3447 | #endif |
f3ae5d60 | 3448 | } |
98cb6e75 DH |
3449 | } else if (SCM_BIGP (x)) { |
3450 | SCM z = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3451 | unsigned int digs = SCM_NUMDIGS (z); | |
3452 | unsigned int size = digs * SCM_BITSPERDIG / SCM_CHAR_BIT; | |
3453 | return size <= sizeof (SCM) ? scm_big2inum (z, digs) : z; | |
3454 | } else if (SCM_REALP (x)) { | |
3455 | return scm_make_real (-SCM_REAL_VALUE (x)); | |
3456 | } else if (SCM_COMPLEXP (x)) { | |
3457 | return scm_make_complex (-SCM_COMPLEX_REAL (x), -SCM_COMPLEX_IMAG (x)); | |
3458 | } else { | |
3459 | SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference); | |
f872b822 | 3460 | } |
98cb6e75 DH |
3461 | } |
3462 | ||
3463 | if (SCM_INUMP (x)) { | |
3464 | long int xx = SCM_INUM (x); | |
3465 | if (SCM_INUMP (y)) { | |
3466 | long int yy = SCM_INUM (y); | |
3467 | long int z = xx - yy; | |
3468 | if (SCM_FIXABLE (z)) { | |
3469 | return SCM_MAKINUM (z); | |
3470 | } else { | |
f872b822 | 3471 | #ifdef SCM_BIGDIG |
98cb6e75 | 3472 | return scm_long2big (z); |
f872b822 | 3473 | #else |
98cb6e75 | 3474 | return scm_make_real ((double) z); |
f872b822 | 3475 | #endif |
98cb6e75 DH |
3476 | } |
3477 | } else if (SCM_BIGP (y)) { | |
3478 | #ifndef SCM_DIGSTOOBIG | |
3479 | long z = scm_pseudolong (xx); | |
3480 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3481 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG); | |
f872b822 | 3482 | #else |
98cb6e75 DH |
3483 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
3484 | scm_longdigs (xx, zdigs); | |
3485 | return scm_addbig (zdigs, SCM_DIGSPERLONG, | |
3486 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG); | |
f872b822 | 3487 | #endif |
98cb6e75 DH |
3488 | } else if (SCM_REALP (y)) { |
3489 | return scm_make_real (xx - SCM_REAL_VALUE (y)); | |
3490 | } else if (SCM_COMPLEXP (y)) { | |
3491 | return scm_make_complex (xx - SCM_COMPLEX_REAL (y), | |
3492 | -SCM_COMPLEX_IMAG (y)); | |
3493 | } else { | |
3494 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
f872b822 | 3495 | } |
98cb6e75 DH |
3496 | } else if (SCM_BIGP (x)) { |
3497 | if (SCM_INUMP (y)) { | |
3498 | long int yy = SCM_INUM (y); | |
3499 | #ifndef SCM_DIGSTOOBIG | |
3500 | long z = scm_pseudolong (yy); | |
3501 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3502 | (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0); | |
f872b822 | 3503 | #else |
98cb6e75 DH |
3504 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
3505 | scm_longdigs (yy, zdigs); | |
3506 | return scm_addbig (zdigs, SCM_DIGSPERLONG, | |
3507 | (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0); | |
0f2d19dd | 3508 | #endif |
98cb6e75 DH |
3509 | } else if (SCM_BIGP (y)) { |
3510 | return (SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3511 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3512 | SCM_BIGSIGN (x), y, SCM_BIGSIGNFLAG) | |
3513 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3514 | SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, x, 0); | |
3515 | } else if (SCM_REALP (y)) { | |
3516 | return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y)); | |
3517 | } else if (SCM_COMPLEXP (y)) { | |
3518 | return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y), | |
3519 | - SCM_COMPLEX_IMAG (y)); | |
3520 | } else { | |
3521 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
3522 | } | |
3523 | } else if (SCM_REALP (x)) { | |
3524 | if (SCM_INUMP (y)) { | |
3525 | return scm_make_real (SCM_REAL_VALUE (x) - SCM_INUM (y)); | |
3526 | } else if (SCM_BIGP (y)) { | |
3527 | return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y)); | |
3528 | } else if (SCM_REALP (y)) { | |
3529 | return scm_make_real (SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y)); | |
3530 | } else if (SCM_COMPLEXP (y)) { | |
3531 | return scm_make_complex (SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y), | |
3532 | -SCM_COMPLEX_IMAG (y)); | |
3533 | } else { | |
3534 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
3535 | } | |
3536 | } else if (SCM_COMPLEXP (x)) { | |
3537 | if (SCM_INUMP (y)) { | |
3538 | return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_INUM (y), | |
3539 | SCM_COMPLEX_IMAG (x)); | |
3540 | } else if (SCM_BIGP (y)) { | |
3541 | return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y), | |
3542 | SCM_COMPLEX_IMAG (x)); | |
3543 | } else if (SCM_REALP (y)) { | |
3544 | return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y), | |
3545 | SCM_COMPLEX_IMAG (x)); | |
3546 | } else if (SCM_COMPLEXP (y)) { | |
3547 | return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y), | |
3548 | SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y)); | |
3549 | } else { | |
3550 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
3551 | } | |
3552 | } else { | |
3553 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference); | |
3554 | } | |
0f2d19dd JB |
3555 | } |
3556 | ||
3557 | ||
9de33deb | 3558 | SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product); |
1cc91f1b | 3559 | |
0f2d19dd | 3560 | SCM |
6e8d25a6 | 3561 | scm_product (SCM x, SCM y) |
0f2d19dd | 3562 | { |
f4c627b3 DH |
3563 | if (SCM_UNBNDP (y)) { |
3564 | if (SCM_UNBNDP (x)) { | |
3565 | return SCM_MAKINUM (1L); | |
3566 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3567 | return x; |
f4c627b3 DH |
3568 | } else { |
3569 | SCM_WTA_DISPATCH_1 (g_product, x, SCM_ARG1, s_product); | |
f872b822 | 3570 | } |
f4c627b3 DH |
3571 | } |
3572 | ||
3573 | if (SCM_INUMP (x)) { | |
3574 | long xx; | |
3575 | ||
3576 | intbig: | |
3577 | xx = SCM_INUM (x); | |
3578 | ||
3579 | if (xx == 0) { | |
f872b822 | 3580 | return x; |
f4c627b3 DH |
3581 | } else if (xx == 1) { |
3582 | return y; | |
3583 | } | |
3584 | ||
3585 | if (SCM_INUMP (y)) { | |
3586 | long yy = SCM_INUM (y); | |
3587 | long kk = xx * yy; | |
3588 | SCM k = SCM_MAKINUM (kk); | |
3589 | if (kk != SCM_INUM (k) || kk / xx != yy) { | |
f872b822 | 3590 | #ifdef SCM_BIGDIG |
f4c627b3 | 3591 | int sgn = (xx < 0) ^ (yy < 0); |
f872b822 | 3592 | #ifndef SCM_DIGSTOOBIG |
f4c627b3 DH |
3593 | long i = scm_pseudolong (xx); |
3594 | long j = scm_pseudolong (yy); | |
f872b822 MD |
3595 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, |
3596 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
3597 | #else /* SCM_DIGSTOOBIG */ | |
f4c627b3 DH |
3598 | SCM_BIGDIG xdigs [SCM_DIGSPERLONG]; |
3599 | SCM_BIGDIG ydigs [SCM_DIGSPERLONG]; | |
3600 | scm_longdigs (xx, xdigs); | |
3601 | scm_longdigs (yy, ydigs); | |
3602 | return scm_mulbig (xdigs, SCM_DIGSPERLONG, | |
3603 | ydigs, SCM_DIGSPERLONG, | |
f872b822 MD |
3604 | sgn); |
3605 | #endif | |
f4c627b3 DH |
3606 | #else |
3607 | return scm_make_real (((double) xx) * ((double) yy)); | |
3608 | #endif | |
3609 | } else { | |
3610 | return k; | |
0f2d19dd | 3611 | } |
f4c627b3 DH |
3612 | } else if (SCM_BIGP (y)) { |
3613 | #ifndef SCM_DIGSTOOBIG | |
3614 | long z = scm_pseudolong (xx); | |
3615 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3616 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3617 | SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)); | |
0f2d19dd | 3618 | #else |
f4c627b3 DH |
3619 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
3620 | scm_longdigs (xx, zdigs); | |
3621 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3622 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3623 | SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)); | |
0f2d19dd | 3624 | #endif |
f4c627b3 DH |
3625 | } else if (SCM_REALP (y)) { |
3626 | return scm_make_real (xx * SCM_REAL_VALUE (y)); | |
3627 | } else if (SCM_COMPLEXP (y)) { | |
3628 | return scm_make_complex (xx * SCM_COMPLEX_REAL (y), | |
3629 | xx * SCM_COMPLEX_IMAG (y)); | |
3630 | } else { | |
3631 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3632 | } | |
3633 | } else if (SCM_BIGP (x)) { | |
3634 | if (SCM_INUMP (y)) { | |
3635 | SCM_SWAP (x, y); | |
3636 | goto intbig; | |
3637 | } else if (SCM_BIGP (y)) { | |
3638 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3639 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3640 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
3641 | } else if (SCM_REALP (y)) { | |
3642 | return scm_make_real (scm_big2dbl (x) * SCM_REAL_VALUE (y)); | |
3643 | } else if (SCM_COMPLEXP (y)) { | |
3644 | double z = scm_big2dbl (x); | |
3645 | return scm_make_complex (z * SCM_COMPLEX_REAL (y), | |
3646 | z * SCM_COMPLEX_IMAG (y)); | |
3647 | } else { | |
3648 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3649 | } | |
3650 | } else if (SCM_REALP (x)) { | |
3651 | if (SCM_INUMP (y)) { | |
3652 | return scm_make_real (SCM_INUM (y) * SCM_REAL_VALUE (x)); | |
3653 | } else if (SCM_BIGP (y)) { | |
3654 | return scm_make_real (scm_big2dbl (y) * SCM_REAL_VALUE (x)); | |
3655 | } else if (SCM_REALP (y)) { | |
3656 | return scm_make_real (SCM_REAL_VALUE (x) * SCM_REAL_VALUE (y)); | |
3657 | } else if (SCM_COMPLEXP (y)) { | |
3658 | return scm_make_complex (SCM_REAL_VALUE (x) * SCM_COMPLEX_REAL (y), | |
3659 | SCM_REAL_VALUE (x) * SCM_COMPLEX_IMAG (y)); | |
3660 | } else { | |
3661 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3662 | } | |
3663 | } else if (SCM_COMPLEXP (x)) { | |
3664 | if (SCM_INUMP (y)) { | |
3665 | return scm_make_complex (SCM_INUM (y) * SCM_COMPLEX_REAL (x), | |
3666 | SCM_INUM (y) * SCM_COMPLEX_IMAG (x)); | |
3667 | } else if (SCM_BIGP (y)) { | |
3668 | double z = scm_big2dbl (y); | |
3669 | return scm_make_complex (z * SCM_COMPLEX_REAL (x), | |
3670 | z * SCM_COMPLEX_IMAG (x)); | |
3671 | } else if (SCM_REALP (y)) { | |
3672 | return scm_make_complex (SCM_REAL_VALUE (y) * SCM_COMPLEX_REAL (x), | |
3673 | SCM_REAL_VALUE (y) * SCM_COMPLEX_IMAG (x)); | |
3674 | } else if (SCM_COMPLEXP (y)) { | |
3675 | return scm_make_complex (SCM_COMPLEX_REAL (x) * SCM_COMPLEX_REAL (y) | |
3676 | - SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_IMAG (y), | |
3677 | SCM_COMPLEX_REAL (x) * SCM_COMPLEX_IMAG (y) | |
3678 | + SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_REAL (y)); | |
3679 | } else { | |
3680 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3681 | } | |
3682 | } else { | |
3683 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product); | |
0f2d19dd JB |
3684 | } |
3685 | } | |
3686 | ||
3687 | ||
0f2d19dd | 3688 | double |
6e8d25a6 | 3689 | scm_num2dbl (SCM a, const char *why) |
f4c627b3 | 3690 | #define FUNC_NAME why |
0f2d19dd | 3691 | { |
f4c627b3 | 3692 | if (SCM_INUMP (a)) { |
0f2d19dd | 3693 | return (double) SCM_INUM (a); |
f4c627b3 DH |
3694 | } else if (SCM_BIGP (a)) { |
3695 | return scm_big2dbl (a); | |
3696 | } else if (SCM_REALP (a)) { | |
3697 | return (SCM_REAL_VALUE (a)); | |
3698 | } else { | |
3699 | SCM_WRONG_TYPE_ARG (SCM_ARGn, a); | |
3700 | } | |
0f2d19dd | 3701 | } |
f4c627b3 | 3702 | #undef FUNC_NAME |
0f2d19dd JB |
3703 | |
3704 | ||
9de33deb | 3705 | SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide); |
1cc91f1b | 3706 | |
0f2d19dd | 3707 | SCM |
6e8d25a6 | 3708 | scm_divide (SCM x, SCM y) |
0f2d19dd | 3709 | { |
f8de44c1 DH |
3710 | double a; |
3711 | ||
3712 | if (SCM_UNBNDP (y)) { | |
3713 | if (SCM_UNBNDP (x)) { | |
3714 | SCM_WTA_DISPATCH_0 (g_divide, x, SCM_ARG1, s_divide); | |
3715 | } else if (SCM_INUMP (x)) { | |
3716 | if (SCM_EQ_P (x, SCM_MAKINUM (1L)) || SCM_EQ_P (x, SCM_MAKINUM (-1L))) { | |
3717 | return x; | |
3718 | } else { | |
3719 | return scm_make_real (1.0 / (double) SCM_INUM (x)); | |
3720 | } | |
f8de44c1 DH |
3721 | } else if (SCM_BIGP (x)) { |
3722 | return scm_make_real (1.0 / scm_big2dbl (x)); | |
f8de44c1 DH |
3723 | } else if (SCM_REALP (x)) { |
3724 | return scm_make_real (1.0 / SCM_REAL_VALUE (x)); | |
3725 | } else if (SCM_COMPLEXP (x)) { | |
3726 | double r = SCM_COMPLEX_REAL (x); | |
3727 | double i = SCM_COMPLEX_IMAG (x); | |
3728 | double d = r * r + i * i; | |
3729 | return scm_make_complex (r / d, -i / d); | |
3730 | } else { | |
3731 | SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide); | |
3732 | } | |
3733 | } | |
3734 | ||
3735 | if (SCM_INUMP (x)) { | |
3736 | long xx = SCM_INUM (x); | |
3737 | if (SCM_INUMP (y)) { | |
3738 | long yy = SCM_INUM (y); | |
3739 | if (yy == 0) { | |
f4c627b3 | 3740 | scm_num_overflow (s_divide); |
f8de44c1 DH |
3741 | } else if (xx % yy != 0) { |
3742 | return scm_make_real ((double) xx / (double) yy); | |
3743 | } else { | |
3744 | long z = xx / yy; | |
3745 | if (SCM_FIXABLE (z)) { | |
3746 | return SCM_MAKINUM (z); | |
3747 | } else { | |
f872b822 | 3748 | #ifdef SCM_BIGDIG |
f8de44c1 | 3749 | return scm_long2big (z); |
f872b822 | 3750 | #else |
f8de44c1 | 3751 | return scm_make_real ((double) xx / (double) yy); |
f872b822 | 3752 | #endif |
f872b822 | 3753 | } |
f8de44c1 | 3754 | } |
f8de44c1 DH |
3755 | } else if (SCM_BIGP (y)) { |
3756 | return scm_make_real ((double) xx / scm_big2dbl (y)); | |
f8de44c1 DH |
3757 | } else if (SCM_REALP (y)) { |
3758 | return scm_make_real ((double) xx / SCM_REAL_VALUE (y)); | |
3759 | } else if (SCM_COMPLEXP (y)) { | |
3760 | a = xx; | |
3761 | complex_div: /* y _must_ be a complex number */ | |
3762 | { | |
3763 | double r = SCM_COMPLEX_REAL (y); | |
3764 | double i = SCM_COMPLEX_IMAG (y); | |
3765 | double d = r * r + i * i; | |
3766 | return scm_make_complex ((a * r) / d, (-a * i) / d); | |
3767 | } | |
3768 | } else { | |
3769 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
3770 | } | |
f8de44c1 DH |
3771 | } else if (SCM_BIGP (x)) { |
3772 | if (SCM_INUMP (y)) { | |
3773 | long int yy = SCM_INUM (y); | |
3774 | if (yy == 0) { | |
3775 | scm_num_overflow (s_divide); | |
3776 | } else if (yy == 1) { | |
3777 | return x; | |
3778 | } else { | |
3779 | long z = yy < 0 ? -yy : yy; | |
3780 | if (z < SCM_BIGRAD) { | |
3781 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)); | |
3782 | return scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
3783 | (SCM_BIGDIG) z) | |
3784 | ? scm_make_real (scm_big2dbl (x) / (double) yy) | |
3785 | : scm_normbig (w); | |
3786 | } else { | |
3787 | SCM w; | |
3788 | #ifndef SCM_DIGSTOOBIG | |
3789 | z = scm_pseudolong (z); | |
3790 | w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3791 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3792 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3); | |
f872b822 | 3793 | #else |
f8de44c1 DH |
3794 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3795 | scm_longdigs (z, zdigs); | |
3796 | w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3797 | zdigs, SCM_DIGSPERLONG, | |
3798 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3); | |
f872b822 | 3799 | #endif |
f4c627b3 DH |
3800 | return (!SCM_UNBNDP (w)) |
3801 | ? w | |
3802 | : scm_make_real (scm_big2dbl (x) / (double) yy); | |
f872b822 | 3803 | } |
f8de44c1 DH |
3804 | } |
3805 | } else if (SCM_BIGP (y)) { | |
3806 | SCM w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3807 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3808 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
f4c627b3 DH |
3809 | return (!SCM_UNBNDP (w)) |
3810 | ? w | |
3811 | : scm_make_real (scm_big2dbl (x) / scm_big2dbl (y)); | |
f8de44c1 DH |
3812 | } else if (SCM_REALP (y)) { |
3813 | return scm_make_real (scm_big2dbl (x) / SCM_REAL_VALUE (y)); | |
3814 | } else if (SCM_COMPLEXP (y)) { | |
3815 | a = scm_big2dbl (x); | |
3816 | goto complex_div; | |
3817 | } else { | |
3818 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
f872b822 | 3819 | } |
f8de44c1 DH |
3820 | } else if (SCM_REALP (x)) { |
3821 | double rx = SCM_REAL_VALUE (x); | |
3822 | if (SCM_INUMP (y)) { | |
3823 | return scm_make_real (rx / (double) SCM_INUM (y)); | |
f8de44c1 DH |
3824 | } else if (SCM_BIGP (y)) { |
3825 | return scm_make_real (rx / scm_big2dbl (y)); | |
f8de44c1 DH |
3826 | } else if (SCM_REALP (y)) { |
3827 | return scm_make_real (rx / SCM_REAL_VALUE (y)); | |
3828 | } else if (SCM_COMPLEXP (y)) { | |
3829 | a = rx; | |
3830 | goto complex_div; | |
3831 | } else { | |
3832 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
f872b822 | 3833 | } |
f8de44c1 DH |
3834 | } else if (SCM_COMPLEXP (x)) { |
3835 | double rx = SCM_COMPLEX_REAL (x); | |
3836 | double ix = SCM_COMPLEX_IMAG (x); | |
3837 | if (SCM_INUMP (y)) { | |
3838 | double d = SCM_INUM (y); | |
3839 | return scm_make_complex (rx / d, ix / d); | |
f8de44c1 DH |
3840 | } else if (SCM_BIGP (y)) { |
3841 | double d = scm_big2dbl (y); | |
3842 | return scm_make_complex (rx / d, ix / d); | |
f8de44c1 DH |
3843 | } else if (SCM_REALP (y)) { |
3844 | double d = SCM_REAL_VALUE (y); | |
3845 | return scm_make_complex (rx / d, ix / d); | |
3846 | } else if (SCM_COMPLEXP (y)) { | |
3847 | double ry = SCM_COMPLEX_REAL (y); | |
3848 | double iy = SCM_COMPLEX_IMAG (y); | |
3849 | double d = ry * ry + iy * iy; | |
3850 | return scm_make_complex ((rx * ry + ix * iy) / d, | |
3851 | (ix * ry - rx * iy) / d); | |
3852 | } else { | |
3853 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
3854 | } | |
3855 | } else { | |
3856 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide); | |
0f2d19dd JB |
3857 | } |
3858 | } | |
3859 | ||
3860 | ||
9de33deb | 3861 | SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh); |
1cc91f1b | 3862 | |
0f2d19dd | 3863 | double |
6e8d25a6 | 3864 | scm_asinh (double x) |
0f2d19dd | 3865 | { |
f872b822 | 3866 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
3867 | } |
3868 | ||
3869 | ||
3870 | ||
3871 | ||
9de33deb | 3872 | SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh); |
1cc91f1b | 3873 | |
0f2d19dd | 3874 | double |
6e8d25a6 | 3875 | scm_acosh (double x) |
0f2d19dd | 3876 | { |
f872b822 | 3877 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
3878 | } |
3879 | ||
3880 | ||
3881 | ||
3882 | ||
9de33deb | 3883 | SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh); |
1cc91f1b | 3884 | |
0f2d19dd | 3885 | double |
6e8d25a6 | 3886 | scm_atanh (double x) |
0f2d19dd | 3887 | { |
f872b822 | 3888 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
3889 | } |
3890 | ||
3891 | ||
3892 | ||
3893 | ||
9de33deb | 3894 | SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate); |
1cc91f1b | 3895 | |
0f2d19dd | 3896 | double |
6e8d25a6 | 3897 | scm_truncate (double x) |
0f2d19dd | 3898 | { |
f872b822 MD |
3899 | if (x < 0.0) |
3900 | return -floor (-x); | |
3901 | return floor (x); | |
0f2d19dd JB |
3902 | } |
3903 | ||
3904 | ||
3905 | ||
9de33deb | 3906 | SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round); |
1cc91f1b | 3907 | |
0f2d19dd | 3908 | double |
6e8d25a6 | 3909 | scm_round (double x) |
0f2d19dd JB |
3910 | { |
3911 | double plus_half = x + 0.5; | |
f872b822 | 3912 | double result = floor (plus_half); |
0f2d19dd | 3913 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 3914 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
3915 | ? result - 1 : result; |
3916 | } | |
3917 | ||
3918 | ||
3919 | ||
9de33deb | 3920 | SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact); |
1cc91f1b | 3921 | |
0f2d19dd | 3922 | double |
6e8d25a6 | 3923 | scm_exact_to_inexact (double z) |
0f2d19dd JB |
3924 | { |
3925 | return z; | |
3926 | } | |
3927 | ||
3928 | ||
9de33deb MD |
3929 | SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor); |
3930 | SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil); | |
3931 | SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt); | |
3932 | SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs); | |
3933 | SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp); | |
3934 | SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log); | |
3935 | SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin); | |
3936 | SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos); | |
3937 | SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan); | |
3938 | SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin); | |
3939 | SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos); | |
3940 | SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan); | |
3941 | SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh); | |
3942 | SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh); | |
3943 | SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh); | |
f872b822 MD |
3944 | |
3945 | struct dpair | |
3946 | { | |
3947 | double x, y; | |
3948 | }; | |
3949 | ||
27c37006 NJ |
3950 | static void scm_two_doubles (SCM x, |
3951 | SCM y, | |
3eeba8d4 JB |
3952 | const char *sstring, |
3953 | struct dpair * xy); | |
f872b822 MD |
3954 | |
3955 | static void | |
27c37006 NJ |
3956 | scm_two_doubles (SCM x, SCM y, const char *sstring, struct dpair *xy) |
3957 | { | |
3958 | if (SCM_INUMP (x)) { | |
3959 | xy->x = SCM_INUM (x); | |
3960 | } else if (SCM_BIGP (x)) { | |
3961 | xy->x = scm_big2dbl (x); | |
3962 | } else if (SCM_REALP (x)) { | |
3963 | xy->x = SCM_REAL_VALUE (x); | |
98cb6e75 | 3964 | } else { |
27c37006 | 3965 | scm_wrong_type_arg (sstring, SCM_ARG1, x); |
98cb6e75 DH |
3966 | } |
3967 | ||
27c37006 NJ |
3968 | if (SCM_INUMP (y)) { |
3969 | xy->y = SCM_INUM (y); | |
3970 | } else if (SCM_BIGP (y)) { | |
3971 | xy->y = scm_big2dbl (y); | |
3972 | } else if (SCM_REALP (y)) { | |
3973 | xy->y = SCM_REAL_VALUE (y); | |
98cb6e75 | 3974 | } else { |
27c37006 | 3975 | scm_wrong_type_arg (sstring, SCM_ARG2, y); |
98cb6e75 | 3976 | } |
0f2d19dd JB |
3977 | } |
3978 | ||
3979 | ||
a1ec6916 | 3980 | SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0, |
27c37006 NJ |
3981 | (SCM x, SCM y), |
3982 | "Return @var{x} raised to the power of @var{y}. This\n" | |
0137a31b | 3983 | "procedure does not accept complex arguments.") |
1bbd0b84 | 3984 | #define FUNC_NAME s_scm_sys_expt |
0f2d19dd JB |
3985 | { |
3986 | struct dpair xy; | |
27c37006 | 3987 | scm_two_doubles (x, y, FUNC_NAME, &xy); |
f8de44c1 | 3988 | return scm_make_real (pow (xy.x, xy.y)); |
0f2d19dd | 3989 | } |
1bbd0b84 | 3990 | #undef FUNC_NAME |
0f2d19dd JB |
3991 | |
3992 | ||
a1ec6916 | 3993 | SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0, |
27c37006 NJ |
3994 | (SCM x, SCM y), |
3995 | "Return the arc tangent of the two arguments @var{x} and\n" | |
3996 | "@var{y}. This is similar to calculating the arc tangent of\n" | |
3997 | "@var{x} / @var{y}, except that the signs of both arguments\n" | |
0137a31b MG |
3998 | "are used to determine the quadrant of the result. This\n" |
3999 | "procedure does not accept complex arguments.") | |
1bbd0b84 | 4000 | #define FUNC_NAME s_scm_sys_atan2 |
0f2d19dd JB |
4001 | { |
4002 | struct dpair xy; | |
27c37006 | 4003 | scm_two_doubles (x, y, FUNC_NAME, &xy); |
f8de44c1 | 4004 | return scm_make_real (atan2 (xy.x, xy.y)); |
0f2d19dd | 4005 | } |
1bbd0b84 | 4006 | #undef FUNC_NAME |
0f2d19dd JB |
4007 | |
4008 | ||
a1ec6916 | 4009 | SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0, |
bb628794 DH |
4010 | (SCM real, SCM imaginary), |
4011 | "Return a complex number constructed of the given REAL and\n" | |
4012 | "IMAGINARY parts.") | |
1bbd0b84 | 4013 | #define FUNC_NAME s_scm_make_rectangular |
0f2d19dd JB |
4014 | { |
4015 | struct dpair xy; | |
bb628794 | 4016 | scm_two_doubles (real, imaginary, FUNC_NAME, &xy); |
f8de44c1 | 4017 | return scm_make_complex (xy.x, xy.y); |
0f2d19dd | 4018 | } |
1bbd0b84 | 4019 | #undef FUNC_NAME |
0f2d19dd JB |
4020 | |
4021 | ||
4022 | ||
a1ec6916 | 4023 | SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0, |
27c37006 NJ |
4024 | (SCM x, SCM y), |
4025 | "Return the complex number X * e^(i * Y).") | |
1bbd0b84 | 4026 | #define FUNC_NAME s_scm_make_polar |
0f2d19dd JB |
4027 | { |
4028 | struct dpair xy; | |
27c37006 | 4029 | scm_two_doubles (x, y, FUNC_NAME, &xy); |
f8de44c1 | 4030 | return scm_make_complex (xy.x * cos (xy.y), xy.x * sin (xy.y)); |
0f2d19dd | 4031 | } |
1bbd0b84 | 4032 | #undef FUNC_NAME |
0f2d19dd JB |
4033 | |
4034 | ||
152f82bf | 4035 | SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part); |
1cc91f1b | 4036 | |
0f2d19dd | 4037 | SCM |
6e8d25a6 | 4038 | scm_real_part (SCM z) |
0f2d19dd | 4039 | { |
c2ff8ab0 DH |
4040 | if (SCM_INUMP (z)) { |
4041 | return z; | |
4042 | } else if (SCM_BIGP (z)) { | |
4043 | return z; | |
4044 | } else if (SCM_REALP (z)) { | |
4045 | return z; | |
4046 | } else if (SCM_COMPLEXP (z)) { | |
4047 | return scm_make_real (SCM_COMPLEX_REAL (z)); | |
4048 | } else { | |
4049 | SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part); | |
4050 | } | |
0f2d19dd JB |
4051 | } |
4052 | ||
4053 | ||
152f82bf | 4054 | SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part); |
1cc91f1b | 4055 | |
0f2d19dd | 4056 | SCM |
6e8d25a6 | 4057 | scm_imag_part (SCM z) |
0f2d19dd | 4058 | { |
c2ff8ab0 | 4059 | if (SCM_INUMP (z)) { |
f872b822 | 4060 | return SCM_INUM0; |
c2ff8ab0 | 4061 | } else if (SCM_BIGP (z)) { |
f872b822 | 4062 | return SCM_INUM0; |
c2ff8ab0 DH |
4063 | } else if (SCM_REALP (z)) { |
4064 | return scm_flo0; | |
4065 | } else if (SCM_COMPLEXP (z)) { | |
4066 | return scm_make_real (SCM_COMPLEX_IMAG (z)); | |
4067 | } else { | |
4068 | SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part); | |
4069 | } | |
0f2d19dd JB |
4070 | } |
4071 | ||
4072 | ||
9de33deb | 4073 | SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude); |
1cc91f1b | 4074 | |
0f2d19dd | 4075 | SCM |
6e8d25a6 | 4076 | scm_magnitude (SCM z) |
0f2d19dd | 4077 | { |
c2ff8ab0 | 4078 | if (SCM_INUMP (z)) { |
5986c47d DH |
4079 | long int zz = SCM_INUM (z); |
4080 | if (zz >= 0) { | |
4081 | return z; | |
4082 | } else if (SCM_POSFIXABLE (-zz)) { | |
4083 | return SCM_MAKINUM (-zz); | |
4084 | } else { | |
4085 | #ifdef SCM_BIGDIG | |
4086 | return scm_long2big (-zz); | |
4087 | #else | |
4088 | scm_num_overflow (s_magnitude); | |
4089 | #endif | |
4090 | } | |
c2ff8ab0 | 4091 | } else if (SCM_BIGP (z)) { |
5986c47d DH |
4092 | if (!SCM_BIGSIGN (z)) { |
4093 | return z; | |
4094 | } else { | |
4095 | return scm_copybig (z, 0); | |
4096 | } | |
c2ff8ab0 DH |
4097 | } else if (SCM_REALP (z)) { |
4098 | return scm_make_real (fabs (SCM_REAL_VALUE (z))); | |
4099 | } else if (SCM_COMPLEXP (z)) { | |
4100 | double r = SCM_COMPLEX_REAL (z); | |
4101 | double i = SCM_COMPLEX_IMAG (z); | |
4102 | return scm_make_real (sqrt (i * i + r * r)); | |
4103 | } else { | |
4104 | SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude); | |
4105 | } | |
0f2d19dd JB |
4106 | } |
4107 | ||
4108 | ||
9de33deb | 4109 | SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle); |
1cc91f1b | 4110 | |
0f2d19dd | 4111 | SCM |
6e8d25a6 | 4112 | scm_angle (SCM z) |
0f2d19dd | 4113 | { |
f4c627b3 DH |
4114 | if (SCM_INUMP (z)) { |
4115 | if (SCM_INUM (z) >= 0) { | |
4116 | return scm_make_real (atan2 (0.0, 1.0)); | |
4117 | } else { | |
4118 | return scm_make_real (atan2 (0.0, -1.0)); | |
f872b822 | 4119 | } |
f4c627b3 DH |
4120 | } else if (SCM_BIGP (z)) { |
4121 | if (SCM_BIGSIGN (z)) { | |
4122 | return scm_make_real (atan2 (0.0, -1.0)); | |
4123 | } else { | |
4124 | return scm_make_real (atan2 (0.0, 1.0)); | |
0f2d19dd | 4125 | } |
f4c627b3 DH |
4126 | } else if (SCM_REALP (z)) { |
4127 | return scm_make_real (atan2 (0.0, SCM_REAL_VALUE (z))); | |
4128 | } else if (SCM_COMPLEXP (z)) { | |
4129 | return scm_make_real (atan2 (SCM_COMPLEX_IMAG (z), SCM_COMPLEX_REAL (z))); | |
4130 | } else { | |
4131 | SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle); | |
4132 | } | |
0f2d19dd JB |
4133 | } |
4134 | ||
4135 | ||
a1ec6916 | 4136 | SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0, |
1bbd0b84 | 4137 | (SCM z), |
bb628794 | 4138 | "Returns an exact number that is numerically closest to Z.") |
1bbd0b84 | 4139 | #define FUNC_NAME s_scm_inexact_to_exact |
0f2d19dd | 4140 | { |
c2ff8ab0 | 4141 | if (SCM_INUMP (z)) { |
f872b822 | 4142 | return z; |
c2ff8ab0 | 4143 | } else if (SCM_BIGP (z)) { |
f872b822 | 4144 | return z; |
c2ff8ab0 DH |
4145 | } else if (SCM_REALP (z)) { |
4146 | double u = floor (SCM_REAL_VALUE (z) + 0.5); | |
4147 | long lu = (long) u; | |
4148 | if (SCM_FIXABLE (lu)) { | |
4149 | return SCM_MAKINUM (lu); | |
f872b822 | 4150 | #ifdef SCM_BIGDIG |
c2ff8ab0 DH |
4151 | } else if (isfinite (u)) { |
4152 | return scm_dbl2big (u); | |
f872b822 | 4153 | #endif |
c2ff8ab0 DH |
4154 | } else { |
4155 | scm_num_overflow (s_scm_inexact_to_exact); | |
4156 | } | |
4157 | } else { | |
4158 | SCM_WRONG_TYPE_ARG (1, z); | |
4159 | } | |
0f2d19dd | 4160 | } |
1bbd0b84 | 4161 | #undef FUNC_NAME |
0f2d19dd JB |
4162 | |
4163 | ||
0f2d19dd | 4164 | #ifdef SCM_BIGDIG |
0f2d19dd | 4165 | /* d must be integer */ |
1cc91f1b | 4166 | |
0f2d19dd | 4167 | SCM |
6e8d25a6 | 4168 | scm_dbl2big (double d) |
0f2d19dd JB |
4169 | { |
4170 | scm_sizet i = 0; | |
4171 | long c; | |
4172 | SCM_BIGDIG *digits; | |
4173 | SCM ans; | |
f872b822 MD |
4174 | double u = (d < 0) ? -d : d; |
4175 | while (0 != floor (u)) | |
4176 | { | |
4177 | u /= SCM_BIGRAD; | |
4178 | i++; | |
4179 | } | |
4180 | ans = scm_mkbig (i, d < 0); | |
4181 | digits = SCM_BDIGITS (ans); | |
4182 | while (i--) | |
4183 | { | |
4184 | u *= SCM_BIGRAD; | |
4185 | c = floor (u); | |
4186 | u -= c; | |
4187 | digits[i] = c; | |
4188 | } | |
cf7c17e9 | 4189 | #ifndef SCM_RECKLESS |
e1724d20 | 4190 | if (u != 0) |
52859adf | 4191 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4192 | #endif |
0f2d19dd JB |
4193 | return ans; |
4194 | } | |
4195 | ||
4196 | ||
4197 | ||
0f2d19dd | 4198 | double |
6e8d25a6 | 4199 | scm_big2dbl (SCM b) |
0f2d19dd JB |
4200 | { |
4201 | double ans = 0.0; | |
f872b822 MD |
4202 | scm_sizet i = SCM_NUMDIGS (b); |
4203 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4204 | while (i--) | |
4205 | ans = digits[i] + SCM_BIGRAD * ans; | |
f3ae5d60 MD |
4206 | if (SCM_BIGSIGN (b)) |
4207 | return - ans; | |
0f2d19dd JB |
4208 | return ans; |
4209 | } | |
f872b822 | 4210 | #endif |
0f2d19dd | 4211 | |
1cc91f1b | 4212 | |
0f2d19dd | 4213 | SCM |
6e8d25a6 | 4214 | scm_long2num (long sl) |
0f2d19dd | 4215 | { |
f872b822 MD |
4216 | if (!SCM_FIXABLE (sl)) |
4217 | { | |
0f2d19dd | 4218 | #ifdef SCM_BIGDIG |
f872b822 | 4219 | return scm_long2big (sl); |
0f2d19dd | 4220 | #else |
f8de44c1 | 4221 | return scm_make_real ((double) sl); |
f872b822 MD |
4222 | #endif |
4223 | } | |
4224 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4225 | } |
4226 | ||
4227 | ||
5c11cc9d | 4228 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4229 | |
0f2d19dd | 4230 | SCM |
6e8d25a6 | 4231 | scm_long_long2num (long_long sl) |
0f2d19dd | 4232 | { |
f872b822 MD |
4233 | if (!SCM_FIXABLE (sl)) |
4234 | { | |
0f2d19dd | 4235 | #ifdef SCM_BIGDIG |
f872b822 | 4236 | return scm_long_long2big (sl); |
0f2d19dd | 4237 | #else |
f8de44c1 | 4238 | return scm_make_real ((double) sl); |
f872b822 MD |
4239 | #endif |
4240 | } | |
f2961ccd DH |
4241 | else |
4242 | { | |
4243 | /* we know that sl fits into an inum */ | |
4244 | return SCM_MAKINUM ((scm_bits_t) sl); | |
4245 | } | |
0f2d19dd | 4246 | } |
0f2d19dd | 4247 | |
f69a01b2 | 4248 | #endif /* HAVE_LONG_LONGS */ |
0f2d19dd | 4249 | |
1cc91f1b | 4250 | |
0f2d19dd | 4251 | SCM |
6e8d25a6 | 4252 | scm_ulong2num (unsigned long sl) |
0f2d19dd | 4253 | { |
f872b822 MD |
4254 | if (!SCM_POSFIXABLE (sl)) |
4255 | { | |
0f2d19dd | 4256 | #ifdef SCM_BIGDIG |
f872b822 | 4257 | return scm_ulong2big (sl); |
0f2d19dd | 4258 | #else |
f8de44c1 | 4259 | return scm_make_real ((double) sl); |
f872b822 MD |
4260 | #endif |
4261 | } | |
4262 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4263 | } |
4264 | ||
1cc91f1b | 4265 | |
0f2d19dd | 4266 | long |
6e8d25a6 | 4267 | scm_num2long (SCM num, char *pos, const char *s_caller) |
0f2d19dd | 4268 | { |
98cb6e75 DH |
4269 | if (SCM_INUMP (num)) { |
4270 | return SCM_INUM (num); | |
4271 | } else if (SCM_BIGP (num)) { | |
4272 | long int res; | |
4273 | /* can't use res directly in case num is -2^31. */ | |
4274 | unsigned long int pos_res = 0; | |
4275 | unsigned long int old_res = 0; | |
4276 | scm_sizet l; | |
4277 | ||
4278 | for (l = SCM_NUMDIGS (num); l--;) { | |
4279 | pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4280 | if (pos_res >= old_res) { | |
4281 | old_res = pos_res; | |
4282 | } else { | |
4283 | /* overflow. */ | |
4284 | scm_out_of_range (s_caller, num); | |
4285 | } | |
0f2d19dd | 4286 | } |
98cb6e75 DH |
4287 | if (SCM_BIGSIGN (num)) { |
4288 | res = -pos_res; | |
4289 | if (res <= 0) { | |
4290 | return res; | |
4291 | } else { | |
4292 | scm_out_of_range (s_caller, num); | |
4293 | } | |
4294 | } else { | |
4295 | res = pos_res; | |
4296 | if (res >= 0) { | |
4297 | return res; | |
4298 | } else { | |
4299 | scm_out_of_range (s_caller, num); | |
4300 | } | |
0f2d19dd | 4301 | } |
98cb6e75 DH |
4302 | } else if (SCM_REALP (num)) { |
4303 | double u = SCM_REAL_VALUE (num); | |
4304 | long int res = u; | |
4305 | if ((double) res == u) { | |
5c11cc9d | 4306 | return res; |
98cb6e75 DH |
4307 | } else { |
4308 | scm_out_of_range (s_caller, num); | |
f872b822 | 4309 | } |
98cb6e75 DH |
4310 | } else { |
4311 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4312 | } | |
0f2d19dd JB |
4313 | } |
4314 | ||
4315 | ||
5c11cc9d | 4316 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4317 | |
0f2d19dd | 4318 | long_long |
6e8d25a6 | 4319 | scm_num2long_long (SCM num, char *pos, const char *s_caller) |
0f2d19dd | 4320 | { |
98cb6e75 DH |
4321 | if (SCM_INUMP (num)) { |
4322 | return SCM_INUM (num); | |
4323 | } else if (SCM_BIGP (num)) { | |
4324 | long long res; | |
4325 | /* can't use res directly in case num is -2^63. */ | |
4326 | unsigned long long int pos_res = 0; | |
4327 | unsigned long long int old_res = 0; | |
4328 | scm_sizet l; | |
4329 | ||
4330 | for (l = SCM_NUMDIGS (num); l--;) { | |
4331 | pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4332 | if (pos_res >= old_res) { | |
4333 | old_res = pos_res; | |
4334 | } else { | |
4335 | /* overflow. */ | |
4336 | scm_out_of_range (s_caller, num); | |
4337 | } | |
0f2d19dd | 4338 | } |
98cb6e75 DH |
4339 | if (SCM_BIGSIGN (num)) { |
4340 | res = -pos_res; | |
4341 | if (res <= 0) { | |
4342 | return res; | |
4343 | } else { | |
4344 | scm_out_of_range (s_caller, num); | |
4345 | } | |
4346 | } else { | |
4347 | res = pos_res; | |
4348 | if (res >= 0) { | |
4349 | return res; | |
4350 | } else { | |
4351 | scm_out_of_range (s_caller, num); | |
4352 | } | |
f872b822 | 4353 | } |
98cb6e75 DH |
4354 | } else if (SCM_REALP (num)) { |
4355 | double u = SCM_REAL_VALUE (num); | |
4356 | long long int res = u; | |
4357 | if ((double) res == u) { | |
f872b822 | 4358 | return res; |
98cb6e75 DH |
4359 | } else { |
4360 | scm_out_of_range (s_caller, num); | |
f872b822 | 4361 | } |
98cb6e75 DH |
4362 | } else { |
4363 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4364 | } | |
0f2d19dd | 4365 | } |
0f2d19dd | 4366 | |
f69a01b2 | 4367 | #endif /* HAVE_LONG_LONGS */ |
0f2d19dd | 4368 | |
1cc91f1b | 4369 | |
0f2d19dd | 4370 | unsigned long |
6e8d25a6 | 4371 | scm_num2ulong (SCM num, char *pos, const char *s_caller) |
0f2d19dd | 4372 | { |
98cb6e75 DH |
4373 | if (SCM_INUMP (num)) { |
4374 | long nnum = SCM_INUM (num); | |
4375 | if (nnum >= 0) { | |
4376 | return nnum; | |
4377 | } else { | |
4378 | scm_out_of_range (s_caller, num); | |
4379 | } | |
4380 | } else if (SCM_BIGP (num)) { | |
4381 | unsigned long int res = 0; | |
4382 | unsigned long int old_res = 0; | |
4383 | scm_sizet l; | |
4384 | ||
4385 | for (l = SCM_NUMDIGS (num); l--;) { | |
4386 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4387 | if (res >= old_res) { | |
4388 | old_res = res; | |
4389 | } else { | |
4390 | scm_out_of_range (s_caller, num); | |
4391 | } | |
0f2d19dd | 4392 | } |
98cb6e75 DH |
4393 | return res; |
4394 | } else if (SCM_REALP (num)) { | |
4395 | double u = SCM_REAL_VALUE (num); | |
4396 | unsigned long int res = u; | |
4397 | if ((double) res == u) { | |
f872b822 | 4398 | return res; |
98cb6e75 DH |
4399 | } else { |
4400 | scm_out_of_range (s_caller, num); | |
f872b822 | 4401 | } |
98cb6e75 DH |
4402 | } else { |
4403 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4404 | } | |
0f2d19dd JB |
4405 | } |
4406 | ||
4407 | ||
0f2d19dd JB |
4408 | void |
4409 | scm_init_numbers () | |
0f2d19dd | 4410 | { |
ac0c002c DH |
4411 | abs_most_negative_fixnum = scm_long2big (- SCM_MOST_NEGATIVE_FIXNUM); |
4412 | scm_permanent_object (abs_most_negative_fixnum); | |
4413 | ||
a261c0e9 DH |
4414 | /* It may be possible to tune the performance of some algorithms by using |
4415 | * the following constants to avoid the creation of bignums. Please, before | |
4416 | * using these values, remember the two rules of program optimization: | |
4417 | * 1st Rule: Don't do it. 2nd Rule (experts only): Don't do it yet. */ | |
4418 | scm_sysintern ("most-positive-fixnum", SCM_MAKINUM (SCM_MOST_POSITIVE_FIXNUM)); | |
4419 | scm_sysintern ("most-negative-fixnum", SCM_MAKINUM (SCM_MOST_NEGATIVE_FIXNUM)); | |
4420 | ||
f3ae5d60 MD |
4421 | scm_add_feature ("complex"); |
4422 | scm_add_feature ("inexact"); | |
5986c47d | 4423 | scm_flo0 = scm_make_real (0.0); |
f872b822 | 4424 | #ifdef DBL_DIG |
0f2d19dd | 4425 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 4426 | #else |
0f2d19dd JB |
4427 | { /* determine floating point precision */ |
4428 | double f = 0.1; | |
f872b822 | 4429 | double fsum = 1.0 + f; |
bb628794 DH |
4430 | while (fsum != 1.0) { |
4431 | if (++scm_dblprec > 20) { | |
4432 | fsum = 1.0; | |
4433 | } else { | |
f872b822 | 4434 | f /= 10.0; |
bb628794 | 4435 | fsum = f + 1.0; |
f872b822 | 4436 | } |
bb628794 | 4437 | } |
f872b822 | 4438 | scm_dblprec = scm_dblprec - 1; |
0f2d19dd | 4439 | } |
f872b822 | 4440 | #endif /* DBL_DIG */ |
8dc9439f | 4441 | #ifndef SCM_MAGIC_SNARFER |
a0599745 | 4442 | #include "libguile/numbers.x" |
8dc9439f | 4443 | #endif |
0f2d19dd | 4444 | } |
89e00824 ML |
4445 | |
4446 | /* | |
4447 | Local Variables: | |
4448 | c-file-style: "gnu" | |
4449 | End: | |
4450 | */ |