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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 | ||
f872b822 | 99 | |
a1ec6916 | 100 | SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0, |
1bbd0b84 | 101 | (SCM x), |
4219f20d | 102 | "Return #t if X is an exact number, #f otherwise.") |
1bbd0b84 | 103 | #define FUNC_NAME s_scm_exact_p |
0f2d19dd | 104 | { |
4219f20d | 105 | if (SCM_INUMP (x)) { |
f872b822 | 106 | return SCM_BOOL_T; |
4219f20d | 107 | } else if (SCM_BIGP (x)) { |
f872b822 | 108 | return SCM_BOOL_T; |
4219f20d DH |
109 | } else { |
110 | return SCM_BOOL_F; | |
111 | } | |
0f2d19dd | 112 | } |
1bbd0b84 | 113 | #undef FUNC_NAME |
0f2d19dd | 114 | |
4219f20d | 115 | |
a1ec6916 | 116 | SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0, |
1bbd0b84 | 117 | (SCM n), |
4219f20d | 118 | "Return #t if N is an odd number, #f otherwise.") |
1bbd0b84 | 119 | #define FUNC_NAME s_scm_odd_p |
0f2d19dd | 120 | { |
4219f20d DH |
121 | if (SCM_INUMP (n)) { |
122 | return SCM_BOOL ((4 & SCM_UNPACK (n)) != 0); | |
4219f20d DH |
123 | } else if (SCM_BIGP (n)) { |
124 | return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) != 0); | |
4219f20d | 125 | } else { |
a1a33b0f | 126 | SCM_WRONG_TYPE_ARG (1, n); |
4219f20d | 127 | } |
0f2d19dd | 128 | } |
1bbd0b84 | 129 | #undef FUNC_NAME |
0f2d19dd | 130 | |
4219f20d | 131 | |
a1ec6916 | 132 | SCM_DEFINE (scm_even_p, "even?", 1, 0, 0, |
1bbd0b84 | 133 | (SCM n), |
4219f20d | 134 | "Return #t if N is an even number, #f otherwise.") |
1bbd0b84 | 135 | #define FUNC_NAME s_scm_even_p |
0f2d19dd | 136 | { |
4219f20d DH |
137 | if (SCM_INUMP (n)) { |
138 | return SCM_BOOL ((4 & SCM_UNPACK (n)) == 0); | |
4219f20d DH |
139 | } else if (SCM_BIGP (n)) { |
140 | return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) == 0); | |
4219f20d | 141 | } else { |
a1a33b0f | 142 | SCM_WRONG_TYPE_ARG (1, n); |
4219f20d | 143 | } |
0f2d19dd | 144 | } |
1bbd0b84 | 145 | #undef FUNC_NAME |
0f2d19dd | 146 | |
4219f20d | 147 | |
9de33deb | 148 | SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs); |
1cc91f1b | 149 | |
0f2d19dd | 150 | SCM |
6e8d25a6 | 151 | scm_abs (SCM x) |
0f2d19dd | 152 | { |
4219f20d DH |
153 | if (SCM_INUMP (x)) { |
154 | long int xx = SCM_INUM (x); | |
155 | if (xx >= 0) { | |
156 | return x; | |
157 | } else if (SCM_POSFIXABLE (-xx)) { | |
158 | return SCM_MAKINUM (-xx); | |
159 | } else { | |
0f2d19dd | 160 | #ifdef SCM_BIGDIG |
4219f20d | 161 | return scm_long2big (-xx); |
0f2d19dd | 162 | #else |
4219f20d | 163 | scm_num_overflow (s_abs); |
0f2d19dd | 164 | #endif |
4219f20d | 165 | } |
4219f20d DH |
166 | } else if (SCM_BIGP (x)) { |
167 | if (!SCM_BIGSIGN (x)) { | |
168 | return x; | |
169 | } else { | |
170 | return scm_copybig (x, 0); | |
171 | } | |
5986c47d DH |
172 | } else if (SCM_REALP (x)) { |
173 | return scm_make_real (fabs (SCM_REAL_VALUE (x))); | |
4219f20d DH |
174 | } else { |
175 | SCM_WTA_DISPATCH_1 (g_abs, x, 1, s_abs); | |
176 | } | |
0f2d19dd JB |
177 | } |
178 | ||
4219f20d | 179 | |
9de33deb | 180 | SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient); |
1cc91f1b | 181 | |
0f2d19dd | 182 | SCM |
6e8d25a6 | 183 | scm_quotient (SCM x, SCM y) |
0f2d19dd | 184 | { |
828865c3 DH |
185 | if (SCM_INUMP (x)) { |
186 | long xx = SCM_INUM (x); | |
187 | if (SCM_INUMP (y)) { | |
188 | long yy = SCM_INUM (y); | |
189 | if (yy == 0) { | |
190 | scm_num_overflow (s_quotient); | |
191 | } else { | |
192 | long z = xx / yy; | |
4219f20d DH |
193 | if (SCM_FIXABLE (z)) { |
194 | return SCM_MAKINUM (z); | |
195 | } else { | |
828865c3 DH |
196 | #ifdef SCM_BIGDIG |
197 | return scm_long2big (z); | |
198 | #else | |
199 | scm_num_overflow (s_quotient); | |
200 | #endif | |
828865c3 DH |
201 | } |
202 | } | |
4219f20d DH |
203 | } else if (SCM_BIGP (y)) { |
204 | return SCM_INUM0; | |
4219f20d DH |
205 | } else { |
206 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); | |
828865c3 | 207 | } |
4219f20d DH |
208 | } else if (SCM_BIGP (x)) { |
209 | if (SCM_INUMP (y)) { | |
828865c3 DH |
210 | long yy = SCM_INUM (y); |
211 | if (yy == 0) { | |
212 | scm_num_overflow (s_quotient); | |
213 | } else if (yy == 1) { | |
f872b822 | 214 | return x; |
828865c3 DH |
215 | } else { |
216 | long z = yy < 0 ? -yy : yy; | |
217 | ||
218 | if (z < SCM_BIGRAD) { | |
219 | SCM sw = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)); | |
c209c88e GB |
220 | scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z); |
221 | return scm_normbig (sw); | |
828865c3 | 222 | } else { |
0f2d19dd | 223 | #ifndef SCM_DIGSTOOBIG |
828865c3 DH |
224 | long w = scm_pseudolong (z); |
225 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
226 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
227 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2); | |
0f2d19dd | 228 | #else |
828865c3 DH |
229 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
230 | scm_longdigs (z, zdigs); | |
231 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
232 | zdigs, SCM_DIGSPERLONG, | |
233 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2); | |
f872b822 | 234 | #endif |
f872b822 | 235 | } |
828865c3 | 236 | } |
4219f20d DH |
237 | } else if (SCM_BIGP (y)) { |
238 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
239 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
240 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
241 | } else { | |
242 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); | |
f872b822 | 243 | } |
4219f20d | 244 | } else { |
89a7e495 | 245 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG1, s_quotient); |
0f2d19dd | 246 | } |
0f2d19dd JB |
247 | } |
248 | ||
4219f20d | 249 | |
9de33deb | 250 | SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder); |
1cc91f1b | 251 | |
0f2d19dd | 252 | SCM |
6e8d25a6 | 253 | scm_remainder (SCM x, SCM y) |
0f2d19dd | 254 | { |
89a7e495 DH |
255 | if (SCM_INUMP (x)) { |
256 | if (SCM_INUMP (y)) { | |
257 | long yy = SCM_INUM (y); | |
258 | if (yy == 0) { | |
259 | scm_num_overflow (s_remainder); | |
260 | } else { | |
89a7e495 | 261 | long z = SCM_INUM (x) % yy; |
89a7e495 DH |
262 | return SCM_MAKINUM (z); |
263 | } | |
89a7e495 | 264 | } else if (SCM_BIGP (y)) { |
f872b822 | 265 | return x; |
89a7e495 DH |
266 | } else { |
267 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); | |
268 | } | |
89a7e495 DH |
269 | } else if (SCM_BIGP (x)) { |
270 | if (SCM_INUMP (y)) { | |
271 | long yy = SCM_INUM (y); | |
272 | if (yy == 0) { | |
273 | scm_num_overflow (s_remainder); | |
274 | } else { | |
275 | return scm_divbigint (x, yy, SCM_BIGSIGN (x), 0); | |
276 | } | |
277 | } else if (SCM_BIGP (y)) { | |
278 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
279 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
280 | SCM_BIGSIGN (x), 0); | |
281 | } else { | |
282 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); | |
f872b822 | 283 | } |
89a7e495 DH |
284 | } else { |
285 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG1, s_remainder); | |
286 | } | |
0f2d19dd JB |
287 | } |
288 | ||
89a7e495 | 289 | |
9de33deb | 290 | SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo); |
1cc91f1b | 291 | |
0f2d19dd | 292 | SCM |
6e8d25a6 | 293 | scm_modulo (SCM x, SCM y) |
0f2d19dd | 294 | { |
828865c3 DH |
295 | if (SCM_INUMP (x)) { |
296 | long xx = SCM_INUM (x); | |
297 | if (SCM_INUMP (y)) { | |
298 | long yy = SCM_INUM (y); | |
299 | if (yy == 0) { | |
300 | scm_num_overflow (s_modulo); | |
301 | } else { | |
828865c3 | 302 | long z = xx % yy; |
828865c3 DH |
303 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); |
304 | } | |
09fb7599 DH |
305 | } else if (SCM_BIGP (y)) { |
306 | return (SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)) ? scm_sum (x, y) : x; | |
09fb7599 DH |
307 | } else { |
308 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); | |
f872b822 | 309 | } |
09fb7599 DH |
310 | } else if (SCM_BIGP (x)) { |
311 | if (SCM_INUMP (y)) { | |
828865c3 DH |
312 | long yy = SCM_INUM (y); |
313 | if (yy == 0) { | |
314 | scm_num_overflow (s_modulo); | |
315 | } else { | |
316 | return scm_divbigint (x, yy, yy < 0, | |
317 | (SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)) ? 1 : 0); | |
318 | } | |
09fb7599 DH |
319 | } else if (SCM_BIGP (y)) { |
320 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
321 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
322 | SCM_BIGSIGN (y), | |
323 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
324 | } else { | |
325 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); | |
828865c3 | 326 | } |
09fb7599 DH |
327 | } else { |
328 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG1, s_modulo); | |
828865c3 | 329 | } |
0f2d19dd JB |
330 | } |
331 | ||
09fb7599 | 332 | |
9de33deb | 333 | SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd); |
1cc91f1b | 334 | |
0f2d19dd | 335 | SCM |
6e8d25a6 | 336 | scm_gcd (SCM x, SCM y) |
0f2d19dd | 337 | { |
09fb7599 DH |
338 | if (SCM_UNBNDP (y)) { |
339 | if (SCM_UNBNDP (x)) { | |
340 | return SCM_INUM0; | |
341 | } else { | |
342 | return x; | |
343 | } | |
344 | } | |
f8de44c1 | 345 | |
0f2d19dd | 346 | tailrec: |
09fb7599 DH |
347 | if (SCM_INUMP (x)) { |
348 | if (SCM_INUMP (y)) { | |
349 | long xx = SCM_INUM (x); | |
350 | long yy = SCM_INUM (y); | |
351 | long u = xx < 0 ? -xx : xx; | |
352 | long v = yy < 0 ? -yy : yy; | |
353 | long result; | |
354 | ||
355 | if (xx == 0) { | |
356 | result = v; | |
357 | } else if (yy == 0) { | |
358 | result = u; | |
359 | } else { | |
360 | int k = 1; | |
361 | long t; | |
362 | ||
363 | /* Determine a common factor 2^k */ | |
364 | while (!(1 & (u | v))) { | |
365 | k <<= 1; | |
366 | u >>= 1; | |
367 | v >>= 1; | |
f872b822 | 368 | } |
09fb7599 DH |
369 | |
370 | /* Now, any factor 2^n can be eliminated */ | |
371 | if (u & 1) { | |
372 | t = -v; | |
373 | } else { | |
374 | t = u; | |
375 | b3: | |
376 | t = SCM_SRS (t, 1); | |
377 | } | |
378 | if (!(1 & t)) | |
379 | goto b3; | |
380 | if (t > 0) | |
381 | u = t; | |
382 | else | |
383 | v = -t; | |
384 | t = u - v; | |
385 | if (t != 0) | |
386 | goto b3; | |
387 | ||
388 | result = u * k; | |
389 | } | |
390 | if (SCM_POSFIXABLE (result)) { | |
391 | return SCM_MAKINUM (result); | |
392 | } else { | |
393 | #ifdef SCM_BIGDIG | |
394 | return scm_long2big (result); | |
f872b822 | 395 | #else |
09fb7599 DH |
396 | scm_num_overflow (s_gcd); |
397 | #endif | |
398 | } | |
09fb7599 DH |
399 | } else if (SCM_BIGP (y)) { |
400 | SCM_SWAP (x, y); | |
401 | goto big_gcd; | |
09fb7599 DH |
402 | } else { |
403 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd); | |
f872b822 | 404 | } |
09fb7599 DH |
405 | } else if (SCM_BIGP (x)) { |
406 | big_gcd: | |
407 | if (SCM_BIGSIGN (x)) | |
408 | x = scm_copybig (x, 0); | |
409 | newy: | |
410 | if (SCM_INUMP (y)) { | |
411 | if (SCM_EQ_P (y, SCM_INUM0)) { | |
412 | return x; | |
413 | } else { | |
414 | goto swaprec; | |
415 | } | |
416 | } else if (SCM_BIGP (y)) { | |
417 | if (SCM_BIGSIGN (y)) | |
418 | y = scm_copybig (y, 0); | |
419 | switch (scm_bigcomp (x, y)) | |
420 | { | |
421 | case -1: /* x > y */ | |
422 | swaprec: | |
423 | { | |
424 | SCM t = scm_remainder (x, y); | |
425 | x = y; | |
426 | y = t; | |
427 | } | |
428 | goto tailrec; | |
429 | case 1: /* x < y */ | |
430 | y = scm_remainder (y, x); | |
431 | goto newy; | |
432 | default: /* x == y */ | |
433 | return x; | |
434 | } | |
435 | /* instead of the switch, we could just | |
436 | return scm_gcd (y, scm_modulo (x, y)); */ | |
437 | } else { | |
438 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd); | |
439 | } | |
09fb7599 DH |
440 | } else { |
441 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG1, s_gcd); | |
442 | } | |
0f2d19dd JB |
443 | } |
444 | ||
09fb7599 | 445 | |
9de33deb | 446 | SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm); |
1cc91f1b | 447 | |
0f2d19dd | 448 | SCM |
6e8d25a6 | 449 | scm_lcm (SCM n1, SCM n2) |
0f2d19dd | 450 | { |
09fb7599 DH |
451 | if (SCM_UNBNDP (n2)) { |
452 | if (SCM_UNBNDP (n1)) { | |
453 | return SCM_MAKINUM (1L); | |
454 | } else { | |
455 | n2 = SCM_MAKINUM (1L); | |
456 | } | |
457 | }; | |
458 | ||
02a3305a | 459 | #ifndef SCM_BIGDIG |
09fb7599 DH |
460 | SCM_GASSERT2 (SCM_INUMP (n1), g_lcm, n1, n2, SCM_ARG1, s_lcm); |
461 | SCM_GASSERT2 (SCM_INUMP (n2), g_lcm, n1, n2, SCM_ARGn, s_lcm); | |
9de33deb | 462 | #else |
09fb7599 | 463 | SCM_GASSERT2 (SCM_INUMP (n1) || SCM_BIGP (n1), |
9de33deb | 464 | g_lcm, n1, n2, SCM_ARG1, s_lcm); |
09fb7599 | 465 | SCM_GASSERT2 (SCM_INUMP (n2) || SCM_BIGP (n2), |
9de33deb MD |
466 | g_lcm, n1, n2, SCM_ARGn, s_lcm); |
467 | #endif | |
09fb7599 DH |
468 | |
469 | { | |
470 | SCM d = scm_gcd (n1, n2); | |
471 | if (SCM_EQ_P (d, SCM_INUM0)) { | |
472 | return d; | |
473 | } else { | |
474 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
f872b822 | 475 | } |
09fb7599 | 476 | } |
0f2d19dd JB |
477 | } |
478 | ||
09fb7599 | 479 | |
0f2d19dd | 480 | #ifndef scm_long2num |
c1bfcf60 GB |
481 | #define SCM_LOGOP_RETURN(x) scm_ulong2num(x) |
482 | #else | |
483 | #define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x) | |
484 | #endif | |
485 | ||
8a525303 GB |
486 | |
487 | /* Emulating 2's complement bignums with sign magnitude arithmetic: | |
488 | ||
489 | Logand: | |
490 | X Y Result Method: | |
491 | (len) | |
492 | + + + x (map digit:logand X Y) | |
493 | + - + x (map digit:logand X (lognot (+ -1 Y))) | |
494 | - + + y (map digit:logand (lognot (+ -1 X)) Y) | |
495 | - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) | |
496 | ||
497 | Logior: | |
498 | X Y Result Method: | |
499 | ||
500 | + + + (map digit:logior X Y) | |
501 | + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) | |
502 | - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) | |
503 | - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) | |
504 | ||
505 | Logxor: | |
506 | X Y Result Method: | |
507 | ||
508 | + + + (map digit:logxor X Y) | |
509 | + - - (+ 1 (map digit:logxor X (+ -1 Y))) | |
510 | - + - (+ 1 (map digit:logxor (+ -1 X) Y)) | |
511 | - - + (map digit:logxor (+ -1 X) (+ -1 Y)) | |
512 | ||
513 | Logtest: | |
514 | X Y Result | |
515 | ||
516 | + + (any digit:logand X Y) | |
517 | + - (any digit:logand X (lognot (+ -1 Y))) | |
518 | - + (any digit:logand (lognot (+ -1 X)) Y) | |
519 | - - #t | |
520 | ||
521 | */ | |
522 | ||
523 | #ifdef SCM_BIGDIG | |
524 | ||
525 | SCM scm_copy_big_dec(SCM b, int sign); | |
526 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn); | |
527 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
528 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
529 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn); | |
530 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
531 | ||
532 | SCM scm_copy_big_dec(SCM b, int sign) | |
533 | { | |
534 | long num = -1; | |
535 | scm_sizet nx = SCM_NUMDIGS(b); | |
536 | scm_sizet i = 0; | |
537 | SCM ans = scm_mkbig(nx, sign); | |
538 | SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans); | |
539 | if SCM_BIGSIGN(b) do { | |
540 | num += src[i]; | |
541 | if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;} | |
542 | else {dst[i] = SCM_BIGLO(num); num = 0;} | |
543 | } while (++i < nx); | |
544 | else | |
545 | while (nx--) dst[nx] = src[nx]; | |
546 | return ans; | |
547 | } | |
548 | ||
549 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn) | |
550 | { | |
551 | long num = -1; | |
552 | scm_sizet i = 0; | |
553 | SCM z = scm_mkbig(nx, zsgn); | |
554 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
555 | if (zsgn) do { | |
556 | num += x[i]; | |
557 | if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;} | |
558 | else {zds[i] = SCM_BIGLO(num); num = 0;} | |
559 | } while (++i < nx); | |
560 | else do zds[i] = x[i]; while (++i < nx); | |
561 | return z; | |
562 | } | |
563 | ||
564 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
565 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 566 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
567 | { |
568 | long num = -1; | |
569 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
f3ae5d60 | 570 | SCM z = scm_copy_big_dec (bigy, xsgn & SCM_BIGSIGN (bigy)); |
8a525303 GB |
571 | SCM_BIGDIG *zds = SCM_BDIGITS(z); |
572 | if (xsgn) { | |
573 | 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 | /* ========= Need to increment zds now =========== */ | |
579 | i = 0; num = 1; | |
580 | while (i < ny) { | |
581 | num += zds[i]; | |
582 | zds[i++] = SCM_BIGLO(num); | |
583 | num = SCM_BIGDN(num); | |
584 | if (!num) return z; | |
585 | } | |
586 | scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */ | |
587 | SCM_BDIGITS(z)[ny] = 1; | |
588 | return z; | |
589 | } | |
590 | else do zds[i] = zds[i] | x[i]; while (++i < nx); | |
591 | return z; | |
592 | } | |
593 | ||
594 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
595 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 596 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
597 | { |
598 | long num = -1; | |
599 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
600 | SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy)); | |
601 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
602 | if (xsgn) do { | |
603 | num += x[i]; | |
604 | if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;} | |
605 | else {zds[i] ^= SCM_BIGLO(num); num = 0;} | |
606 | } while (++i < nx); | |
607 | else do { | |
608 | zds[i] = zds[i] ^ x[i]; | |
609 | } while (++i < nx); | |
610 | ||
611 | if (xsgn ^ SCM_BIGSIGN(bigy)) { | |
612 | /* ========= Need to increment zds now =========== */ | |
613 | i = 0; num = 1; | |
614 | while (i < ny) { | |
615 | num += zds[i]; | |
616 | zds[i++] = SCM_BIGLO(num); | |
617 | num = SCM_BIGDN(num); | |
618 | if (!num) return scm_normbig(z); | |
619 | } | |
620 | } | |
621 | return scm_normbig(z); | |
622 | } | |
623 | ||
624 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn) | |
625 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 MD |
626 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
627 | /* return sign equals either 0 or SCM_BIGSIGNFLAG */ | |
8a525303 GB |
628 | { |
629 | long num = -1; | |
630 | scm_sizet i = 0; | |
631 | SCM z; | |
632 | SCM_BIGDIG *zds; | |
633 | if (xsgn==zsgn) { | |
634 | z = scm_copy_smaller(x, nx, zsgn); | |
635 | x = SCM_BDIGITS(bigy); | |
636 | xsgn = SCM_BIGSIGN(bigy); | |
637 | } | |
638 | else z = scm_copy_big_dec(bigy, zsgn); | |
639 | zds = SCM_BDIGITS(z); | |
640 | ||
641 | if (zsgn) { | |
642 | if (xsgn) do { | |
643 | num += x[i]; | |
644 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
645 | else {zds[i] &= SCM_BIGLO(num); num = 0;} | |
646 | } while (++i < nx); | |
647 | else do zds[i] = zds[i] & ~x[i]; while (++i < nx); | |
648 | /* ========= need to increment zds now =========== */ | |
649 | i = 0; num = 1; | |
650 | while (i < nx) { | |
651 | num += zds[i]; | |
652 | zds[i++] = SCM_BIGLO(num); | |
653 | num = SCM_BIGDN(num); | |
654 | if (!num) return scm_normbig(z); | |
655 | } | |
656 | } | |
657 | else if (xsgn) do { | |
658 | num += x[i]; | |
659 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
660 | else {zds[i] &= ~SCM_BIGLO(num); num = 0;} | |
661 | } while (++i < nx); | |
662 | else do zds[i] = zds[i] & x[i]; while (++i < nx); | |
663 | return scm_normbig(z); | |
664 | } | |
665 | ||
666 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
667 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 668 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
669 | { |
670 | SCM_BIGDIG *y; | |
671 | scm_sizet i = 0; | |
672 | long num = -1; | |
673 | if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T; | |
674 | if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T; | |
675 | y = SCM_BDIGITS(bigy); | |
676 | if (xsgn) | |
677 | do { | |
678 | num += x[i]; | |
679 | if (num < 0) { | |
680 | if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
681 | num = -1; | |
682 | } | |
683 | else { | |
684 | if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
685 | num = 0; | |
686 | } | |
687 | } while (++i < nx); | |
688 | else if SCM_BIGSIGN(bigy) | |
689 | do { | |
690 | num += y[i]; | |
691 | if (num < 0) { | |
692 | if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
693 | num = -1; | |
694 | } | |
695 | else { | |
696 | if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
697 | num = 0; | |
698 | } | |
699 | } while (++i < nx); | |
700 | else | |
701 | do if (x[i] & y[i]) return SCM_BOOL_T; | |
702 | while (++i < nx); | |
703 | return SCM_BOOL_F; | |
704 | } | |
705 | ||
706 | #endif | |
707 | ||
09fb7599 | 708 | |
c3ee7520 | 709 | SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr, |
1bbd0b84 | 710 | (SCM n1, SCM n2), |
b380b885 MD |
711 | "Returns the integer which is the bit-wise AND of the two integer\n" |
712 | "arguments.\n\n" | |
713 | "Example:\n" | |
714 | "@lisp\n" | |
715 | "(number->string (logand #b1100 #b1010) 2)\n" | |
f0a7af1a NJ |
716 | " @result{} \"1000\"\n" |
717 | "@end lisp") | |
1bbd0b84 | 718 | #define FUNC_NAME s_scm_logand |
0f2d19dd | 719 | { |
9a00c9fc DH |
720 | long int nn1; |
721 | ||
09fb7599 DH |
722 | if (SCM_UNBNDP (n2)) { |
723 | if (SCM_UNBNDP (n1)) { | |
724 | return SCM_MAKINUM (-1); | |
725 | } else if (!SCM_NUMBERP (n1)) { | |
726 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
8a525303 | 727 | #ifndef SCM_RECKLESS |
09fb7599 | 728 | } else if (SCM_NUMBERP (n1)) { |
d28da049 | 729 | return n1; |
09fb7599 DH |
730 | } else { |
731 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
732 | #else | |
733 | } else { | |
734 | return n1; | |
735 | #endif | |
d28da049 | 736 | } |
8a525303 | 737 | } |
09fb7599 DH |
738 | |
739 | if (SCM_INUMP (n1)) { | |
9a00c9fc | 740 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
741 | if (SCM_INUMP (n2)) { |
742 | long nn2 = SCM_INUM (n2); | |
743 | return SCM_MAKINUM (nn1 & nn2); | |
09fb7599 DH |
744 | } else if SCM_BIGP (n2) { |
745 | intbig: | |
746 | { | |
8a525303 | 747 | # ifndef SCM_DIGSTOOBIG |
09fb7599 DH |
748 | long z = scm_pseudolong (nn1); |
749 | if ((nn1 < 0) && SCM_BIGSIGN (n2)) { | |
750 | return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
751 | SCM_BIGSIGNFLAG, n2); | |
752 | } else { | |
753 | return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
754 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
755 | } | |
8a525303 | 756 | # else |
09fb7599 DH |
757 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
758 | scm_longdigs (nn1, zdigs); | |
759 | if ((nn1 < 0) && SCM_BIGSIGN (n2)) { | |
760 | return scm_big_ior (zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); | |
761 | } else { | |
762 | return scm_big_and (zdigs, SCM_DIGSPERLONG, | |
763 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
764 | } | |
8a525303 | 765 | # endif |
09fb7599 | 766 | } |
09fb7599 DH |
767 | } else { |
768 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
769 | } | |
09fb7599 DH |
770 | } else if (SCM_BIGP (n1)) { |
771 | if (SCM_INUMP (n2)) { | |
772 | SCM_SWAP (n1, n2); | |
9a00c9fc | 773 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
774 | goto intbig; |
775 | } else if (SCM_BIGP (n2)) { | |
776 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
777 | SCM_SWAP (n1, n2); | |
778 | }; | |
779 | if ((SCM_BIGSIGN (n1)) && SCM_BIGSIGN (n2)) { | |
780 | return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
781 | SCM_BIGSIGNFLAG, n2); | |
782 | } else { | |
783 | return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
784 | SCM_BIGSIGN (n1), n2, 0); | |
785 | } | |
786 | } else { | |
787 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
788 | } | |
09fb7599 DH |
789 | } else { |
790 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
791 | } | |
0f2d19dd | 792 | } |
1bbd0b84 | 793 | #undef FUNC_NAME |
0f2d19dd | 794 | |
09fb7599 | 795 | |
c3ee7520 | 796 | SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr, |
1bbd0b84 | 797 | (SCM n1, SCM n2), |
b380b885 MD |
798 | "Returns the integer which is the bit-wise OR of the two integer\n" |
799 | "arguments.\n\n" | |
800 | "Example:\n" | |
801 | "@lisp\n" | |
802 | "(number->string (logior #b1100 #b1010) 2)\n" | |
803 | " @result{} \"1110\"\n" | |
804 | "@end lisp") | |
1bbd0b84 | 805 | #define FUNC_NAME s_scm_logior |
0f2d19dd | 806 | { |
9a00c9fc DH |
807 | long int nn1; |
808 | ||
09fb7599 DH |
809 | if (SCM_UNBNDP (n2)) { |
810 | if (SCM_UNBNDP (n1)) { | |
811 | return SCM_INUM0; | |
8a525303 | 812 | #ifndef SCM_RECKLESS |
09fb7599 | 813 | } else if (SCM_NUMBERP (n1)) { |
d28da049 | 814 | return n1; |
09fb7599 DH |
815 | } else { |
816 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
817 | #else | |
818 | } else { | |
819 | return n1; | |
820 | #endif | |
d28da049 | 821 | } |
8a525303 | 822 | } |
09fb7599 DH |
823 | |
824 | if (SCM_INUMP (n1)) { | |
9a00c9fc | 825 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
826 | if (SCM_INUMP (n2)) { |
827 | long nn2 = SCM_INUM (n2); | |
828 | return SCM_MAKINUM (nn1 | nn2); | |
09fb7599 DH |
829 | } else if (SCM_BIGP (n2)) { |
830 | intbig: | |
831 | { | |
8a525303 | 832 | # ifndef SCM_DIGSTOOBIG |
09fb7599 DH |
833 | long z = scm_pseudolong (nn1); |
834 | if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) { | |
835 | return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
836 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
837 | } else { | |
838 | return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
839 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
840 | } | |
8a525303 | 841 | # else |
09fb7599 DH |
842 | BIGDIG zdigs [DIGSPERLONG]; |
843 | scm_longdigs (nn1, zdigs); | |
844 | if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) { | |
845 | return scm_big_ior (zdigs, SCM_DIGSPERLONG, | |
846 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
847 | } else { | |
848 | return scm_big_and (zdigs, SCM_DIGSPERLONG, | |
849 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
850 | } | |
8a525303 | 851 | # endif |
09fb7599 | 852 | } |
09fb7599 DH |
853 | } else { |
854 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
855 | } | |
09fb7599 DH |
856 | } else if (SCM_BIGP (n1)) { |
857 | if (SCM_INUMP (n2)) { | |
858 | SCM_SWAP (n1, n2); | |
9a00c9fc | 859 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
860 | goto intbig; |
861 | } else if (SCM_BIGP (n2)) { | |
862 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
863 | SCM_SWAP (n1, n2); | |
864 | }; | |
865 | if ((!SCM_BIGSIGN (n1)) && !SCM_BIGSIGN (n2)) { | |
866 | return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
867 | SCM_BIGSIGN (n1), n2); | |
868 | } else { | |
869 | return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
870 | SCM_BIGSIGN (n1), n2, SCM_BIGSIGNFLAG); | |
871 | } | |
872 | } else { | |
873 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
874 | } | |
09fb7599 DH |
875 | } else { |
876 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
877 | } | |
0f2d19dd | 878 | } |
1bbd0b84 | 879 | #undef FUNC_NAME |
0f2d19dd | 880 | |
09fb7599 | 881 | |
c3ee7520 | 882 | SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr, |
1bbd0b84 | 883 | (SCM n1, SCM n2), |
b380b885 MD |
884 | "Returns the integer which is the bit-wise XOR of the two integer\n" |
885 | "arguments.\n\n" | |
886 | "Example:\n" | |
887 | "@lisp\n" | |
888 | "(number->string (logxor #b1100 #b1010) 2)\n" | |
889 | " @result{} \"110\"\n" | |
890 | "@end lisp") | |
1bbd0b84 | 891 | #define FUNC_NAME s_scm_logxor |
0f2d19dd | 892 | { |
9a00c9fc DH |
893 | long int nn1; |
894 | ||
09fb7599 DH |
895 | if (SCM_UNBNDP (n2)) { |
896 | if (SCM_UNBNDP (n1)) { | |
897 | return SCM_INUM0; | |
8a525303 | 898 | #ifndef SCM_RECKLESS |
09fb7599 DH |
899 | } else if (SCM_NUMBERP (n1)) { |
900 | return n1; | |
901 | } else { | |
902 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
903 | #else | |
904 | } else { | |
d28da049 | 905 | return n1; |
09fb7599 | 906 | #endif |
d28da049 | 907 | } |
8a525303 | 908 | } |
09fb7599 DH |
909 | |
910 | if (SCM_INUMP (n1)) { | |
9a00c9fc | 911 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
912 | if (SCM_INUMP (n2)) { |
913 | long nn2 = SCM_INUM (n2); | |
914 | return SCM_MAKINUM (nn1 ^ nn2); | |
09fb7599 DH |
915 | } else if (SCM_BIGP (n2)) { |
916 | intbig: | |
8a525303 GB |
917 | { |
918 | # ifndef SCM_DIGSTOOBIG | |
09fb7599 DH |
919 | long z = scm_pseudolong (nn1); |
920 | return scm_big_xor ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
921 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 922 | # else |
09fb7599 DH |
923 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
924 | scm_longdigs (nn1, zdigs); | |
925 | return scm_big_xor (zdigs, SCM_DIGSPERLONG, | |
926 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 GB |
927 | # endif |
928 | } | |
09fb7599 DH |
929 | } else { |
930 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
931 | } | |
09fb7599 DH |
932 | } else if (SCM_BIGP (n1)) { |
933 | if (SCM_INUMP (n2)) { | |
934 | SCM_SWAP (n1, n2); | |
9a00c9fc | 935 | nn1 = SCM_INUM (n1); |
09fb7599 DH |
936 | goto intbig; |
937 | } else if (SCM_BIGP (n2)) { | |
938 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) { | |
939 | SCM_SWAP (n1, n2); | |
940 | } | |
941 | return scm_big_xor (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
942 | SCM_BIGSIGN (n1), n2); | |
943 | } else { | |
944 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
945 | } | |
09fb7599 DH |
946 | } else { |
947 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
948 | } | |
0f2d19dd | 949 | } |
1bbd0b84 | 950 | #undef FUNC_NAME |
0f2d19dd | 951 | |
09fb7599 | 952 | |
a1ec6916 | 953 | SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0, |
1bbd0b84 | 954 | (SCM n1, SCM n2), |
b380b885 MD |
955 | "@example\n" |
956 | "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n" | |
957 | "(logtest #b0100 #b1011) @result{} #f\n" | |
958 | "(logtest #b0100 #b0111) @result{} #t\n" | |
959 | "@end example") | |
1bbd0b84 | 960 | #define FUNC_NAME s_scm_logtest |
0f2d19dd | 961 | { |
9a00c9fc DH |
962 | long int nn1; |
963 | ||
f8de44c1 | 964 | if (SCM_INUMP (n1)) { |
9a00c9fc | 965 | nn1 = SCM_INUM (n1); |
f8de44c1 DH |
966 | if (SCM_INUMP (n2)) { |
967 | long nn2 = SCM_INUM (n2); | |
968 | return SCM_BOOL (nn1 & nn2); | |
f8de44c1 DH |
969 | } else if (SCM_BIGP (n2)) { |
970 | intbig: | |
971 | { | |
8a525303 | 972 | # ifndef SCM_DIGSTOOBIG |
f8de44c1 DH |
973 | long z = scm_pseudolong (nn1); |
974 | return scm_big_test ((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, | |
975 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 976 | # else |
f8de44c1 DH |
977 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
978 | scm_longdigs (nn1, zdigs); | |
979 | return scm_big_test (zdigs, SCM_DIGSPERLONG, | |
980 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 981 | # endif |
f8de44c1 | 982 | } |
f8de44c1 DH |
983 | } else { |
984 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
985 | } | |
f8de44c1 DH |
986 | } else if (SCM_BIGP (n1)) { |
987 | if (SCM_INUMP (n2)) { | |
988 | SCM_SWAP (n1, n2); | |
9a00c9fc | 989 | nn1 = SCM_INUM (n1); |
f8de44c1 DH |
990 | goto intbig; |
991 | } else if (SCM_BIGP (n2)) { | |
992 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
993 | SCM_SWAP (n1, n2); | |
994 | } | |
995 | return scm_big_test (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
996 | SCM_BIGSIGN (n1), n2); | |
997 | } else { | |
998 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
999 | } | |
f8de44c1 DH |
1000 | } else { |
1001 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
1002 | } | |
0f2d19dd | 1003 | } |
1bbd0b84 | 1004 | #undef FUNC_NAME |
0f2d19dd | 1005 | |
c1bfcf60 | 1006 | |
a1ec6916 | 1007 | SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0, |
2cd04b42 | 1008 | (SCM index, SCM j), |
b380b885 MD |
1009 | "@example\n" |
1010 | "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n" | |
1011 | "(logbit? 0 #b1101) @result{} #t\n" | |
1012 | "(logbit? 1 #b1101) @result{} #f\n" | |
1013 | "(logbit? 2 #b1101) @result{} #t\n" | |
1014 | "(logbit? 3 #b1101) @result{} #t\n" | |
1015 | "(logbit? 4 #b1101) @result{} #f\n" | |
1016 | "@end example") | |
1bbd0b84 | 1017 | #define FUNC_NAME s_scm_logbit_p |
0f2d19dd | 1018 | { |
78166ad5 DH |
1019 | unsigned long int iindex; |
1020 | ||
1021 | SCM_VALIDATE_INUM_MIN (SCM_ARG1, index, 0); | |
1022 | iindex = (unsigned long int) SCM_INUM (index); | |
1023 | ||
1024 | if (SCM_INUMP (j)) { | |
1025 | return SCM_BOOL ((1L << iindex) & SCM_INUM (j)); | |
1026 | } else if (SCM_BIGP (j)) { | |
1027 | if (SCM_NUMDIGS (j) * SCM_BITSPERDIG < iindex) { | |
1028 | return SCM_BOOL_F; | |
1029 | } else if (SCM_BIGSIGN (j)) { | |
8a525303 GB |
1030 | long num = -1; |
1031 | scm_sizet i = 0; | |
78166ad5 DH |
1032 | SCM_BIGDIG * x = SCM_BDIGITS (j); |
1033 | scm_sizet nx = iindex / SCM_BITSPERDIG; | |
1034 | while (1) { | |
8a525303 | 1035 | num += x[i]; |
78166ad5 DH |
1036 | if (nx == i++) { |
1037 | return SCM_BOOL (((1L << (iindex % SCM_BITSPERDIG)) & num) == 0); | |
1038 | } else if (num < 0) { | |
1039 | num = -1; | |
1040 | } else { | |
1041 | num = 0; | |
1042 | } | |
8a525303 | 1043 | } |
78166ad5 DH |
1044 | } else { |
1045 | return SCM_BOOL (SCM_BDIGITS (j) [iindex / SCM_BITSPERDIG] | |
1046 | & (1L << (iindex % SCM_BITSPERDIG))); | |
8a525303 | 1047 | } |
78166ad5 DH |
1048 | } else { |
1049 | SCM_WRONG_TYPE_ARG (SCM_ARG2, j); | |
8a525303 | 1050 | } |
0f2d19dd | 1051 | } |
1bbd0b84 | 1052 | #undef FUNC_NAME |
0f2d19dd | 1053 | |
78166ad5 | 1054 | |
a1ec6916 | 1055 | SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0, |
1bbd0b84 | 1056 | (SCM n), |
b380b885 MD |
1057 | "Returns the integer which is the 2s-complement of the integer argument.\n\n" |
1058 | "Example:\n" | |
1059 | "@lisp\n" | |
1060 | "(number->string (lognot #b10000000) 2)\n" | |
1061 | " @result{} \"-10000001\"\n" | |
1062 | "(number->string (lognot #b0) 2)\n" | |
1063 | " @result{} \"-1\"\n" | |
1064 | "@end lisp\n" | |
1065 | "") | |
1bbd0b84 | 1066 | #define FUNC_NAME s_scm_lognot |
0f2d19dd | 1067 | { |
f872b822 | 1068 | return scm_difference (SCM_MAKINUM (-1L), n); |
0f2d19dd | 1069 | } |
1bbd0b84 | 1070 | #undef FUNC_NAME |
0f2d19dd | 1071 | |
a1ec6916 | 1072 | SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0, |
2cd04b42 | 1073 | (SCM n, SCM k), |
b380b885 MD |
1074 | "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n" |
1075 | "Example:\n" | |
1076 | "@lisp\n" | |
1077 | "(integer-expt 2 5)\n" | |
1078 | " @result{} 32\n" | |
1079 | "(integer-expt -3 3)\n" | |
1080 | " @result{} -27\n" | |
1081 | "@end lisp") | |
1bbd0b84 | 1082 | #define FUNC_NAME s_scm_integer_expt |
0f2d19dd | 1083 | { |
f872b822 | 1084 | SCM acc = SCM_MAKINUM (1L); |
1bbd0b84 | 1085 | int i2; |
0f2d19dd | 1086 | #ifdef SCM_BIGDIG |
4260a7fc | 1087 | if (SCM_EQ_P (n, SCM_INUM0) || SCM_EQ_P (n, acc)) |
2cd04b42 | 1088 | return n; |
4260a7fc DH |
1089 | else if (SCM_EQ_P (n, SCM_MAKINUM (-1L))) |
1090 | return SCM_FALSEP (scm_even_p (k)) ? n : acc; | |
0f2d19dd | 1091 | #endif |
2cd04b42 | 1092 | SCM_VALIDATE_ULONG_COPY (2,k,i2); |
1bbd0b84 | 1093 | if (i2 < 0) |
f872b822 | 1094 | { |
1bbd0b84 | 1095 | i2 = -i2; |
2cd04b42 | 1096 | n = scm_divide (n, SCM_UNDEFINED); |
f872b822 MD |
1097 | } |
1098 | while (1) | |
1099 | { | |
1bbd0b84 | 1100 | if (0 == i2) |
f872b822 | 1101 | return acc; |
1bbd0b84 | 1102 | if (1 == i2) |
2cd04b42 | 1103 | return scm_product (acc, n); |
1bbd0b84 | 1104 | if (i2 & 1) |
2cd04b42 GB |
1105 | acc = scm_product (acc, n); |
1106 | n = scm_product (n, n); | |
1bbd0b84 | 1107 | i2 >>= 1; |
f872b822 | 1108 | } |
0f2d19dd | 1109 | } |
1bbd0b84 | 1110 | #undef FUNC_NAME |
0f2d19dd | 1111 | |
a1ec6916 | 1112 | SCM_DEFINE (scm_ash, "ash", 2, 0, 0, |
1bbd0b84 | 1113 | (SCM n, SCM cnt), |
3ab9f56e DH |
1114 | "The function ash performs an arithmetic shift left by CNT bits\n" |
1115 | "(or shift right, if CNT is negative). 'Arithmetic' means, that\n" | |
2a2a730b NJ |
1116 | "the function does not guarantee to keep the bit structure of N,\n" |
1117 | "but rather guarantees that the result will always be rounded\n" | |
3ab9f56e DH |
1118 | "towards minus infinity. Therefore, the results of ash and a\n" |
1119 | "corresponding bitwise shift will differ if N is negative.\n\n" | |
1120 | "Formally, the function returns an integer equivalent to\n" | |
1121 | "@code{(inexact->exact (floor (* N (expt 2 CNT))))}.@refill\n\n" | |
b380b885 MD |
1122 | "Example:\n" |
1123 | "@lisp\n" | |
1124 | "(number->string (ash #b1 3) 2)\n" | |
2a2a730b NJ |
1125 | " @result{} \"1000\"\n" |
1126 | "(number->string (ash #b1010 -1) 2)\n" | |
1127 | " @result{} \"101\"\n" | |
a3c8b9fc | 1128 | "@end lisp") |
1bbd0b84 | 1129 | #define FUNC_NAME s_scm_ash |
0f2d19dd | 1130 | { |
3ab9f56e DH |
1131 | long bits_to_shift; |
1132 | ||
1133 | #ifndef SCM_BIGDIG | |
1134 | SCM_VALIDATE_INUM (1, n) | |
1135 | #endif | |
1136 | SCM_VALIDATE_INUM (2, cnt); | |
1137 | ||
1138 | bits_to_shift = SCM_INUM (cnt); | |
0f2d19dd | 1139 | #ifdef SCM_BIGDIG |
3ab9f56e DH |
1140 | if (bits_to_shift < 0) { |
1141 | /* Shift right by abs(cnt) bits. This is realized as a division by | |
1142 | div:=2^abs(cnt). However, to guarantee the floor rounding, negative | |
1143 | values require some special treatment. | |
1144 | */ | |
1145 | SCM div = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-bits_to_shift)); | |
1146 | if (SCM_FALSEP (scm_negative_p (n))) | |
1147 | return scm_quotient (n, div); | |
1148 | else | |
1149 | return scm_sum (SCM_MAKINUM (-1L), | |
1150 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), div)); | |
1151 | } else | |
1152 | /* Shift left is done by multiplication with 2^CNT */ | |
f872b822 | 1153 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); |
0f2d19dd | 1154 | #else |
3ab9f56e DH |
1155 | if (bits_to_shift < 0) |
1156 | /* Signed right shift (SCM_SRS does it right) by abs(cnt) bits. */ | |
1157 | return SCM_MAKINUM (SCM_SRS (SCM_INUM (n), -bits_to_shift)); | |
1158 | else { | |
1159 | /* Shift left, but make sure not to leave the range of inums */ | |
1160 | SCM res = SCM_MAKINUM (SCM_INUM (n) << cnt); | |
1161 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
1162 | scm_num_overflow (FUNC_NAME); | |
1163 | return res; | |
1164 | } | |
0f2d19dd JB |
1165 | #endif |
1166 | } | |
1bbd0b84 | 1167 | #undef FUNC_NAME |
0f2d19dd | 1168 | |
3c9f20f8 | 1169 | |
a1ec6916 | 1170 | SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0, |
1bbd0b84 | 1171 | (SCM n, SCM start, SCM end), |
b380b885 MD |
1172 | "Returns the integer composed of the @var{start} (inclusive) through\n" |
1173 | "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n" | |
1174 | "the 0-th bit in the result.@refill\n\n" | |
1175 | "Example:\n" | |
1176 | "@lisp\n" | |
1177 | "(number->string (bit-extract #b1101101010 0 4) 2)\n" | |
1178 | " @result{} \"1010\"\n" | |
1179 | "(number->string (bit-extract #b1101101010 4 9) 2)\n" | |
1180 | " @result{} \"10110\"\n" | |
1181 | "@end lisp") | |
1bbd0b84 | 1182 | #define FUNC_NAME s_scm_bit_extract |
0f2d19dd | 1183 | { |
c1bfcf60 | 1184 | int istart, iend; |
c1bfcf60 GB |
1185 | SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart); |
1186 | SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend); | |
1187 | SCM_ASSERT_RANGE (3, end, (iend >= istart)); | |
78166ad5 DH |
1188 | |
1189 | if (SCM_INUMP (n)) { | |
1190 | return SCM_MAKINUM ((SCM_INUM (n) >> istart) & ((1L << (iend - istart)) - 1)); | |
1191 | } else if (SCM_BIGP (n)) { | |
1192 | SCM num1 = SCM_MAKINUM (1L); | |
1193 | SCM num2 = SCM_MAKINUM (2L); | |
1194 | SCM bits = SCM_MAKINUM (iend - istart); | |
1195 | SCM mask = scm_difference (scm_integer_expt (num2, bits), num1); | |
1196 | return scm_logand (mask, scm_ash (n, SCM_MAKINUM (-istart))); | |
1197 | } else { | |
1198 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n); | |
1199 | } | |
0f2d19dd | 1200 | } |
1bbd0b84 | 1201 | #undef FUNC_NAME |
0f2d19dd | 1202 | |
3c9f20f8 | 1203 | |
e4755e5c JB |
1204 | static const char scm_logtab[] = { |
1205 | 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 | |
1206 | }; | |
1cc91f1b | 1207 | |
a1ec6916 | 1208 | SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0, |
1bbd0b84 | 1209 | (SCM n), |
b380b885 MD |
1210 | "Returns the number of bits in integer @var{n}. If integer is positive,\n" |
1211 | "the 1-bits in its binary representation are counted. If negative, the\n" | |
1212 | "0-bits in its two's-complement binary representation are counted. If 0,\n" | |
1213 | "0 is returned.\n\n" | |
1214 | "Example:\n" | |
1215 | "@lisp\n" | |
1216 | "(logcount #b10101010)\n" | |
1217 | " @result{} 4\n" | |
1218 | "(logcount 0)\n" | |
1219 | " @result{} 0\n" | |
1220 | "(logcount -2)\n" | |
1221 | " @result{} 1\n" | |
1222 | "@end lisp") | |
1bbd0b84 | 1223 | #define FUNC_NAME s_scm_logcount |
0f2d19dd | 1224 | { |
3c9f20f8 DH |
1225 | if (SCM_INUMP (n)) { |
1226 | unsigned long int c = 0; | |
1227 | long int nn = SCM_INUM (n); | |
1228 | if (nn < 0) { | |
1229 | nn = -1 - nn; | |
1230 | }; | |
1231 | while (nn) { | |
1232 | c += scm_logtab[15 & nn]; | |
1233 | nn >>= 4; | |
1234 | }; | |
1235 | return SCM_MAKINUM (c); | |
1236 | } else if (SCM_BIGP (n)) { | |
1237 | if (SCM_BIGSIGN (n)) { | |
1238 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
1239 | } else { | |
1240 | unsigned long int c = 0; | |
1241 | scm_sizet i = SCM_NUMDIGS (n); | |
1242 | SCM_BIGDIG * ds = SCM_BDIGITS (n); | |
1243 | while (i--) { | |
1244 | SCM_BIGDIG d; | |
1245 | for (d = ds[i]; d; d >>= 4) { | |
f872b822 | 1246 | c += scm_logtab[15 & d]; |
3c9f20f8 DH |
1247 | } |
1248 | } | |
f872b822 MD |
1249 | return SCM_MAKINUM (c); |
1250 | } | |
3c9f20f8 DH |
1251 | } else { |
1252 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n); | |
1253 | } | |
0f2d19dd | 1254 | } |
1bbd0b84 GB |
1255 | #undef FUNC_NAME |
1256 | ||
0f2d19dd | 1257 | |
e4755e5c JB |
1258 | static const char scm_ilentab[] = { |
1259 | 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 | |
1260 | }; | |
1cc91f1b | 1261 | |
a1ec6916 | 1262 | SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0, |
1bbd0b84 | 1263 | (SCM n), |
b380b885 MD |
1264 | "Returns the number of bits neccessary to represent @var{n}.\n\n" |
1265 | "Example:\n" | |
1266 | "@lisp\n" | |
1267 | "(integer-length #b10101010)\n" | |
1268 | " @result{} 8\n" | |
1269 | "(integer-length 0)\n" | |
1270 | " @result{} 0\n" | |
1271 | "(integer-length #b1111)\n" | |
1272 | " @result{} 4\n" | |
1273 | "@end lisp") | |
1bbd0b84 | 1274 | #define FUNC_NAME s_scm_integer_length |
0f2d19dd | 1275 | { |
3c9f20f8 DH |
1276 | if (SCM_INUMP (n)) { |
1277 | unsigned long int c = 0; | |
1278 | unsigned int l = 4; | |
1279 | long int nn = SCM_INUM (n); | |
1280 | if (nn < 0) { | |
1281 | nn = -1 - nn; | |
1282 | }; | |
1283 | while (nn) { | |
f872b822 | 1284 | c += 4; |
3c9f20f8 DH |
1285 | l = scm_ilentab [15 & nn]; |
1286 | nn >>= 4; | |
1287 | }; | |
1288 | return SCM_MAKINUM (c - 4 + l); | |
1289 | } else if (SCM_BIGP (n)) { | |
1290 | if (SCM_BIGSIGN (n)) { | |
1291 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
1292 | } else { | |
1293 | unsigned long int digs = SCM_NUMDIGS (n) - 1; | |
1294 | unsigned long int c = digs * SCM_BITSPERDIG; | |
1295 | unsigned int l = 4; | |
1296 | SCM_BIGDIG * ds = SCM_BDIGITS (n); | |
1297 | SCM_BIGDIG d = ds [digs]; | |
1298 | while (d) { | |
1299 | c += 4; | |
1300 | l = scm_ilentab [15 & d]; | |
1301 | d >>= 4; | |
1302 | }; | |
1303 | return SCM_MAKINUM (c - 4 + l); | |
f872b822 | 1304 | } |
3c9f20f8 DH |
1305 | } else { |
1306 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n); | |
1307 | } | |
0f2d19dd | 1308 | } |
1bbd0b84 | 1309 | #undef FUNC_NAME |
0f2d19dd JB |
1310 | |
1311 | ||
1312 | #ifdef SCM_BIGDIG | |
e4755e5c | 1313 | static const char s_bignum[] = "bignum"; |
1cc91f1b | 1314 | |
0f2d19dd | 1315 | SCM |
1bbd0b84 | 1316 | scm_mkbig (scm_sizet nlen, int sign) |
0f2d19dd | 1317 | { |
c209c88e GB |
1318 | SCM v; |
1319 | /* Cast to long int to avoid signed/unsigned comparison warnings. */ | |
f3ae5d60 MD |
1320 | if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) |
1321 | != (long int) nlen) | |
2500356c | 1322 | scm_memory_error (s_bignum); |
c209c88e | 1323 | |
f872b822 | 1324 | SCM_NEWCELL (v); |
0f2d19dd | 1325 | SCM_DEFER_INTS; |
6a0476fd | 1326 | SCM_SET_BIGNUM_BASE (v, scm_must_malloc (nlen * sizeof (SCM_BIGDIG), s_bignum)); |
f3ae5d60 | 1327 | SCM_SETNUMDIGS (v, nlen, sign); |
0f2d19dd JB |
1328 | SCM_ALLOW_INTS; |
1329 | return v; | |
1330 | } | |
1331 | ||
1cc91f1b | 1332 | |
0f2d19dd | 1333 | SCM |
1bbd0b84 | 1334 | scm_big2inum (SCM b, scm_sizet l) |
0f2d19dd JB |
1335 | { |
1336 | unsigned long num = 0; | |
f872b822 MD |
1337 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
1338 | while (l--) | |
1339 | num = SCM_BIGUP (num) + tmp[l]; | |
f3ae5d60 | 1340 | if (!SCM_BIGSIGN (b)) |
f872b822 MD |
1341 | { |
1342 | if (SCM_POSFIXABLE (num)) | |
1343 | return SCM_MAKINUM (num); | |
1344 | } | |
894a712b | 1345 | else if (num <= -SCM_MOST_NEGATIVE_FIXNUM) |
f872b822 | 1346 | return SCM_MAKINUM (-num); |
0f2d19dd JB |
1347 | return b; |
1348 | } | |
1349 | ||
1350 | ||
e4755e5c | 1351 | static const char s_adjbig[] = "scm_adjbig"; |
1cc91f1b | 1352 | |
0f2d19dd | 1353 | SCM |
1bbd0b84 | 1354 | scm_adjbig (SCM b, scm_sizet nlen) |
0f2d19dd | 1355 | { |
2bf746cc | 1356 | scm_sizet nsiz = nlen; |
f3ae5d60 | 1357 | if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen) |
2500356c | 1358 | scm_memory_error (s_adjbig); |
2bf746cc | 1359 | |
0f2d19dd | 1360 | SCM_DEFER_INTS; |
2bf746cc JB |
1361 | { |
1362 | SCM_BIGDIG *digits | |
1363 | = ((SCM_BIGDIG *) | |
9eb364fc | 1364 | scm_must_realloc ((char *) SCM_BDIGITS (b), |
f872b822 | 1365 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), |
495ffc6e | 1366 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_bignum)); |
2bf746cc | 1367 | |
6a0476fd | 1368 | SCM_SET_BIGNUM_BASE (b, digits); |
f3ae5d60 | 1369 | SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b)); |
2bf746cc | 1370 | } |
0f2d19dd JB |
1371 | SCM_ALLOW_INTS; |
1372 | return b; | |
1373 | } | |
1374 | ||
1375 | ||
1cc91f1b | 1376 | |
0f2d19dd | 1377 | SCM |
1bbd0b84 | 1378 | scm_normbig (SCM b) |
0f2d19dd | 1379 | { |
f872b822 MD |
1380 | #ifndef _UNICOS |
1381 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 1382 | #else |
f872b822 | 1383 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 1384 | #endif |
f872b822 MD |
1385 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
1386 | while (nlen-- && !zds[nlen]); | |
1387 | nlen++; | |
1388 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
1389 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
1390 | return b; | |
1391 | if (SCM_NUMDIGS (b) == nlen) | |
1392 | return b; | |
1393 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
1394 | } |
1395 | ||
1396 | ||
1cc91f1b | 1397 | |
0f2d19dd | 1398 | SCM |
1bbd0b84 | 1399 | scm_copybig (SCM b, int sign) |
0f2d19dd | 1400 | { |
f872b822 MD |
1401 | scm_sizet i = SCM_NUMDIGS (b); |
1402 | SCM ans = scm_mkbig (i, sign); | |
1403 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
1404 | while (i--) | |
1405 | dst[i] = src[i]; | |
0f2d19dd JB |
1406 | return ans; |
1407 | } | |
1408 | ||
1409 | ||
1cc91f1b | 1410 | |
0f2d19dd | 1411 | SCM |
1bbd0b84 | 1412 | scm_long2big (long n) |
0f2d19dd JB |
1413 | { |
1414 | scm_sizet i = 0; | |
1415 | SCM_BIGDIG *digits; | |
f872b822 MD |
1416 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
1417 | digits = SCM_BDIGITS (ans); | |
1418 | if (n < 0) | |
1419 | n = -n; | |
1420 | while (i < SCM_DIGSPERLONG) | |
1421 | { | |
1422 | digits[i++] = SCM_BIGLO (n); | |
1423 | n = SCM_BIGDN ((unsigned long) n); | |
1424 | } | |
0f2d19dd JB |
1425 | return ans; |
1426 | } | |
1427 | ||
5c11cc9d | 1428 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 1429 | |
0f2d19dd | 1430 | SCM |
1bbd0b84 | 1431 | scm_long_long2big (long_long n) |
0f2d19dd JB |
1432 | { |
1433 | scm_sizet i; | |
1434 | SCM_BIGDIG *digits; | |
1435 | SCM ans; | |
1436 | int n_digits; | |
1437 | ||
1438 | { | |
1439 | long tn; | |
1440 | tn = (long) n; | |
f872b822 | 1441 | if ((long long) tn == n) |
0f2d19dd JB |
1442 | return scm_long2big (tn); |
1443 | } | |
1444 | ||
1445 | { | |
1446 | long_long tn; | |
1447 | ||
1448 | for (tn = n, n_digits = 0; | |
1449 | tn; | |
f872b822 | 1450 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
1451 | ; |
1452 | } | |
1453 | ||
1454 | i = 0; | |
f872b822 MD |
1455 | ans = scm_mkbig (n_digits, n < 0); |
1456 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1457 | if (n < 0) |
1458 | n = -n; | |
f872b822 MD |
1459 | while (i < n_digits) |
1460 | { | |
1461 | digits[i++] = SCM_BIGLO (n); | |
1462 | n = SCM_BIGDN ((ulong_long) n); | |
1463 | } | |
0f2d19dd JB |
1464 | return ans; |
1465 | } | |
f69a01b2 | 1466 | #endif /* HAVE_LONG_LONGS */ |
0f2d19dd | 1467 | |
1cc91f1b | 1468 | |
0f2d19dd | 1469 | SCM |
1bbd0b84 | 1470 | scm_2ulong2big (unsigned long *np) |
0f2d19dd JB |
1471 | { |
1472 | unsigned long n; | |
1473 | scm_sizet i; | |
1474 | SCM_BIGDIG *digits; | |
1475 | SCM ans; | |
1476 | ||
f872b822 MD |
1477 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1478 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1479 | |
1480 | n = np[0]; | |
1481 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1482 | { | |
f872b822 MD |
1483 | digits[i] = SCM_BIGLO (n); |
1484 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1485 | } |
1486 | n = np[1]; | |
1487 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1488 | { | |
f872b822 MD |
1489 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1490 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1491 | } |
1492 | return ans; | |
1493 | } | |
1494 | ||
1495 | ||
1cc91f1b | 1496 | |
0f2d19dd | 1497 | SCM |
1bbd0b84 | 1498 | scm_ulong2big (unsigned long n) |
0f2d19dd JB |
1499 | { |
1500 | scm_sizet i = 0; | |
1501 | SCM_BIGDIG *digits; | |
f872b822 MD |
1502 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1503 | digits = SCM_BDIGITS (ans); | |
1504 | while (i < SCM_DIGSPERLONG) | |
1505 | { | |
1506 | digits[i++] = SCM_BIGLO (n); | |
1507 | n = SCM_BIGDN (n); | |
1508 | } | |
0f2d19dd JB |
1509 | return ans; |
1510 | } | |
1511 | ||
1512 | ||
1cc91f1b | 1513 | |
0f2d19dd | 1514 | int |
1bbd0b84 | 1515 | scm_bigcomp (SCM x, SCM y) |
0f2d19dd | 1516 | { |
f872b822 MD |
1517 | int xsign = SCM_BIGSIGN (x); |
1518 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1519 | scm_sizet xlen, ylen; |
2bf746cc JB |
1520 | |
1521 | /* Look at the signs, first. */ | |
f872b822 MD |
1522 | if (ysign < xsign) |
1523 | return 1; | |
1524 | if (ysign > xsign) | |
1525 | return -1; | |
2bf746cc JB |
1526 | |
1527 | /* They're the same sign, so see which one has more digits. Note | |
1528 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1529 | ylen = SCM_NUMDIGS (y); |
1530 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1531 | if (ylen > xlen) |
1532 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1533 | if (ylen < xlen) |
1534 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1535 | |
1536 | /* They have the same number of digits, so find the most significant | |
1537 | digit where they differ. */ | |
1538 | while (xlen) | |
1539 | { | |
1540 | --xlen; | |
1541 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1542 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1543 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1544 | ? (xsign ? -1 : 1) | |
1545 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1546 | } |
1547 | ||
1548 | /* The numbers are identical. */ | |
1549 | return 0; | |
0f2d19dd JB |
1550 | } |
1551 | ||
1552 | #ifndef SCM_DIGSTOOBIG | |
1553 | ||
1cc91f1b | 1554 | |
0f2d19dd | 1555 | long |
1bbd0b84 | 1556 | scm_pseudolong (long x) |
0f2d19dd | 1557 | { |
f872b822 MD |
1558 | union |
1559 | { | |
0f2d19dd JB |
1560 | long l; |
1561 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1562 | } |
1563 | p; | |
0f2d19dd | 1564 | scm_sizet i = 0; |
f872b822 MD |
1565 | if (x < 0) |
1566 | x = -x; | |
1567 | while (i < SCM_DIGSPERLONG) | |
1568 | { | |
1569 | p.bd[i++] = SCM_BIGLO (x); | |
1570 | x = SCM_BIGDN (x); | |
1571 | } | |
0f2d19dd JB |
1572 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1573 | return p.l; | |
1574 | } | |
1575 | ||
1576 | #else | |
1577 | ||
1cc91f1b | 1578 | |
0f2d19dd | 1579 | void |
1bbd0b84 | 1580 | scm_longdigs (long x, SCM_BIGDIG digs[]) |
0f2d19dd JB |
1581 | { |
1582 | scm_sizet i = 0; | |
f872b822 MD |
1583 | if (x < 0) |
1584 | x = -x; | |
1585 | while (i < SCM_DIGSPERLONG) | |
1586 | { | |
1587 | digs[i++] = SCM_BIGLO (x); | |
1588 | x = SCM_BIGDN (x); | |
1589 | } | |
0f2d19dd JB |
1590 | } |
1591 | #endif | |
1592 | ||
1593 | ||
1cc91f1b | 1594 | |
0f2d19dd | 1595 | SCM |
1bbd0b84 | 1596 | scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) |
0f2d19dd JB |
1597 | { |
1598 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 1599 | /* Assumes xsgn and sgny scm_equal either 0 or SCM_BIGSIGNFLAG */ |
0f2d19dd | 1600 | long num = 0; |
f872b822 MD |
1601 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1602 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1603 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1604 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1605 | { | |
1606 | do | |
1607 | { | |
1608 | num += (long) zds[i] - x[i]; | |
1609 | if (num < 0) | |
1610 | { | |
1611 | zds[i] = num + SCM_BIGRAD; | |
1612 | num = -1; | |
1613 | } | |
1614 | else | |
1615 | { | |
1616 | zds[i] = SCM_BIGLO (num); | |
1617 | num = 0; | |
1618 | } | |
1619 | } | |
1620 | while (++i < nx); | |
1621 | if (num && nx == ny) | |
1622 | { | |
1623 | num = 1; | |
1624 | i = 0; | |
4260a7fc | 1625 | SCM_SET_CELL_WORD_0 (z, SCM_CELL_WORD_0 (z) ^ SCM_BIGSIGNFLAG); |
f872b822 MD |
1626 | do |
1627 | { | |
1628 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1629 | zds[i++] = SCM_BIGLO (num); | |
1630 | num = SCM_BIGDN (num); | |
1631 | } | |
1632 | while (i < ny); | |
1633 | } | |
1634 | else | |
1635 | while (i < ny) | |
1636 | { | |
1637 | num += zds[i]; | |
1638 | if (num < 0) | |
1639 | { | |
1640 | zds[i++] = num + SCM_BIGRAD; | |
1641 | num = -1; | |
1642 | } | |
1643 | else | |
1644 | { | |
1645 | zds[i++] = SCM_BIGLO (num); | |
1646 | num = 0; | |
1647 | } | |
1648 | } | |
1649 | } | |
1650 | else | |
1651 | { | |
1652 | do | |
1653 | { | |
1654 | num += (long) zds[i] + x[i]; | |
1655 | zds[i++] = SCM_BIGLO (num); | |
1656 | num = SCM_BIGDN (num); | |
1657 | } | |
1658 | while (i < nx); | |
1659 | if (!num) | |
1660 | return z; | |
1661 | while (i < ny) | |
1662 | { | |
1663 | num += zds[i]; | |
1664 | zds[i++] = SCM_BIGLO (num); | |
1665 | num = SCM_BIGDN (num); | |
1666 | if (!num) | |
1667 | return z; | |
1668 | } | |
1669 | if (num) | |
1670 | { | |
1671 | z = scm_adjbig (z, ny + 1); | |
1672 | SCM_BDIGITS (z)[ny] = num; | |
1673 | return z; | |
1674 | } | |
1675 | } | |
1676 | return scm_normbig (z); | |
0f2d19dd JB |
1677 | } |
1678 | ||
1cc91f1b | 1679 | |
0f2d19dd | 1680 | SCM |
1bbd0b84 | 1681 | scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) |
0f2d19dd JB |
1682 | { |
1683 | scm_sizet i = 0, j = nx + ny; | |
1684 | unsigned long n = 0; | |
f872b822 MD |
1685 | SCM z = scm_mkbig (j, sgn); |
1686 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1687 | while (j--) | |
1688 | zds[j] = 0; | |
1689 | do | |
1690 | { | |
1691 | j = 0; | |
1692 | if (x[i]) | |
1693 | { | |
1694 | do | |
1695 | { | |
1696 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1697 | zds[i + j++] = SCM_BIGLO (n); | |
1698 | n = SCM_BIGDN (n); | |
1699 | } | |
1700 | while (j < ny); | |
1701 | if (n) | |
1702 | { | |
1703 | zds[i + j] = n; | |
1704 | n = 0; | |
1705 | } | |
1706 | } | |
0f2d19dd | 1707 | } |
f872b822 MD |
1708 | while (++i < nx); |
1709 | return scm_normbig (z); | |
0f2d19dd JB |
1710 | } |
1711 | ||
1cc91f1b | 1712 | |
0f2d19dd | 1713 | unsigned int |
bb628794 | 1714 | scm_divbigdig (SCM_BIGDIG * ds, scm_sizet h, SCM_BIGDIG div) |
0f2d19dd JB |
1715 | { |
1716 | register unsigned long t2 = 0; | |
f872b822 MD |
1717 | while (h--) |
1718 | { | |
1719 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1720 | ds[h] = t2 / div; | |
1721 | t2 %= div; | |
1722 | } | |
0f2d19dd JB |
1723 | return t2; |
1724 | } | |
1725 | ||
1726 | ||
1cc91f1b | 1727 | |
f4c627b3 | 1728 | static SCM |
1bbd0b84 | 1729 | scm_divbigint (SCM x, long z, int sgn, int mode) |
0f2d19dd | 1730 | { |
f872b822 MD |
1731 | if (z < 0) |
1732 | z = -z; | |
1733 | if (z < SCM_BIGRAD) | |
1734 | { | |
1735 | register unsigned long t2 = 0; | |
1736 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1737 | scm_sizet nd = SCM_NUMDIGS (x); | |
1738 | while (nd--) | |
1739 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1740 | if (mode && t2) | |
1741 | t2 = z - t2; | |
1742 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1743 | } | |
0f2d19dd JB |
1744 | { |
1745 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1746 | unsigned long t2 = scm_pseudolong (z); |
1747 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1748 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1749 | sgn, mode); | |
0f2d19dd JB |
1750 | #else |
1751 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1752 | scm_longdigs (z, t2); |
1753 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1754 | t2, SCM_DIGSPERLONG, | |
1755 | sgn, mode); | |
0f2d19dd JB |
1756 | #endif |
1757 | } | |
1758 | } | |
1759 | ||
1cc91f1b | 1760 | |
f4c627b3 | 1761 | static SCM |
1bbd0b84 | 1762 | scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) |
0f2d19dd JB |
1763 | { |
1764 | /* modes description | |
f872b822 MD |
1765 | 0 remainder |
1766 | 1 scm_modulo | |
1767 | 2 quotient | |
f4c627b3 | 1768 | 3 quotient but returns SCM_UNDEFINED if division is not exact. */ |
0f2d19dd JB |
1769 | scm_sizet i = 0, j = 0; |
1770 | long num = 0; | |
1771 | unsigned long t2 = 0; | |
1772 | SCM z, newy; | |
f872b822 | 1773 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1774 | /* algorithm requires nx >= ny */ |
1775 | if (nx < ny) | |
f872b822 MD |
1776 | switch (modes) |
1777 | { | |
1778 | case 0: /* remainder -- just return x */ | |
1779 | z = scm_mkbig (nx, sgn); | |
1780 | zds = SCM_BDIGITS (z); | |
1781 | do | |
1782 | { | |
1783 | zds[i] = x[i]; | |
1784 | } | |
1785 | while (++i < nx); | |
1786 | return z; | |
1787 | case 1: /* scm_modulo -- return y-x */ | |
1788 | z = scm_mkbig (ny, sgn); | |
1789 | zds = SCM_BDIGITS (z); | |
1790 | do | |
1791 | { | |
1792 | num += (long) y[i] - x[i]; | |
1793 | if (num < 0) | |
1794 | { | |
1795 | zds[i] = num + SCM_BIGRAD; | |
1796 | num = -1; | |
1797 | } | |
1798 | else | |
1799 | { | |
1800 | zds[i] = num; | |
1801 | num = 0; | |
1802 | } | |
1803 | } | |
1804 | while (++i < nx); | |
1805 | while (i < ny) | |
1806 | { | |
1807 | num += y[i]; | |
1808 | if (num < 0) | |
1809 | { | |
1810 | zds[i++] = num + SCM_BIGRAD; | |
1811 | num = -1; | |
1812 | } | |
1813 | else | |
1814 | { | |
1815 | zds[i++] = num; | |
1816 | num = 0; | |
1817 | } | |
1818 | } | |
1819 | goto doadj; | |
1820 | case 2: | |
1821 | return SCM_INUM0; /* quotient is zero */ | |
1822 | case 3: | |
f4c627b3 | 1823 | return SCM_UNDEFINED; /* the division is not exact */ |
0f2d19dd | 1824 | } |
f872b822 MD |
1825 | |
1826 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1827 | zds = SCM_BDIGITS (z); | |
1828 | if (nx == ny) | |
1829 | zds[nx + 1] = 0; | |
1830 | while (!y[ny - 1]) | |
1831 | ny--; /* in case y came in as a psuedolong */ | |
1832 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1833 | { /* normalize operands */ | |
1834 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1835 | newy = scm_mkbig (ny, 0); | |
1836 | yds = SCM_BDIGITS (newy); | |
1837 | while (j < ny) | |
1838 | { | |
1839 | t2 += (unsigned long) y[j] * d; | |
1840 | yds[j++] = SCM_BIGLO (t2); | |
1841 | t2 = SCM_BIGDN (t2); | |
1842 | } | |
1843 | y = yds; | |
1844 | j = 0; | |
1845 | t2 = 0; | |
1846 | while (j < nx) | |
1847 | { | |
1848 | t2 += (unsigned long) x[j] * d; | |
1849 | zds[j++] = SCM_BIGLO (t2); | |
1850 | t2 = SCM_BIGDN (t2); | |
1851 | } | |
1852 | zds[j] = t2; | |
1853 | } | |
1854 | else | |
1855 | { | |
1856 | zds[j = nx] = 0; | |
1857 | while (j--) | |
1858 | zds[j] = x[j]; | |
1859 | } | |
1860 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1861 | do | |
1862 | { /* loop over digits of quotient */ | |
1863 | if (zds[j] == y[ny - 1]) | |
1864 | qhat = SCM_BIGRAD - 1; | |
1865 | else | |
1866 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1867 | if (!qhat) | |
1868 | continue; | |
1869 | i = 0; | |
1870 | num = 0; | |
1871 | t2 = 0; | |
1872 | do | |
1873 | { /* multiply and subtract */ | |
1874 | t2 += (unsigned long) y[i] * qhat; | |
1875 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1876 | if (num < 0) | |
1877 | { | |
1878 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1879 | num = -1; | |
1880 | } | |
1881 | else | |
1882 | { | |
1883 | zds[j - ny + i] = num; | |
1884 | num = 0; | |
1885 | } | |
1886 | t2 = SCM_BIGDN (t2); | |
1887 | } | |
1888 | while (++i < ny); | |
1889 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1890 | while (num) | |
1891 | { /* "add back" required */ | |
1892 | i = 0; | |
1893 | num = 0; | |
1894 | qhat--; | |
1895 | do | |
1896 | { | |
1897 | num += (long) zds[j - ny + i] + y[i]; | |
1898 | zds[j - ny + i] = SCM_BIGLO (num); | |
1899 | num = SCM_BIGDN (num); | |
1900 | } | |
1901 | while (++i < ny); | |
1902 | num--; | |
1903 | } | |
1904 | if (modes & 2) | |
1905 | zds[j] = qhat; | |
1906 | } | |
1907 | while (--j >= ny); | |
1908 | switch (modes) | |
1909 | { | |
1910 | case 3: /* check that remainder==0 */ | |
1911 | for (j = ny; j && !zds[j - 1]; --j); | |
1912 | if (j) | |
f4c627b3 | 1913 | return SCM_UNDEFINED; |
f872b822 MD |
1914 | case 2: /* move quotient down in z */ |
1915 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1916 | for (i = 0; i < j; i++) | |
1917 | zds[i] = zds[i + ny]; | |
1918 | ny = i; | |
1919 | break; | |
1920 | case 1: /* subtract for scm_modulo */ | |
1921 | i = 0; | |
1922 | num = 0; | |
1923 | j = 0; | |
1924 | do | |
1925 | { | |
1926 | num += y[i] - zds[i]; | |
1927 | j = j | zds[i]; | |
1928 | if (num < 0) | |
1929 | { | |
1930 | zds[i] = num + SCM_BIGRAD; | |
1931 | num = -1; | |
1932 | } | |
1933 | else | |
1934 | { | |
1935 | zds[i] = num; | |
1936 | num = 0; | |
1937 | } | |
1938 | } | |
1939 | while (++i < ny); | |
1940 | if (!j) | |
1941 | return SCM_INUM0; | |
1942 | case 0: /* just normalize remainder */ | |
1943 | if (d) | |
1944 | scm_divbigdig (zds, ny, d); | |
1945 | } | |
0f2d19dd | 1946 | doadj: |
f872b822 MD |
1947 | for (j = ny; j && !zds[j - 1]; --j); |
1948 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1949 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
1950 | return z; | |
1951 | return scm_adjbig (z, j); | |
0f2d19dd JB |
1952 | } |
1953 | #endif | |
f872b822 | 1954 | \f |
0f2d19dd JB |
1955 | |
1956 | ||
1957 | ||
0f2d19dd JB |
1958 | |
1959 | /*** NUMBERS -> STRINGS ***/ | |
0f2d19dd | 1960 | int scm_dblprec; |
e4755e5c | 1961 | static const double fx[] = |
f872b822 MD |
1962 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, |
1963 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
1964 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
1965 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
1966 | |
1967 | ||
1968 | ||
1cc91f1b | 1969 | |
0f2d19dd | 1970 | static scm_sizet |
1bbd0b84 | 1971 | idbl2str (double f, char *a) |
0f2d19dd JB |
1972 | { |
1973 | int efmt, dpt, d, i, wp = scm_dblprec; | |
1974 | scm_sizet ch = 0; | |
1975 | int exp = 0; | |
1976 | ||
f872b822 MD |
1977 | if (f == 0.0) |
1978 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
1979 | if (f < 0.0) | |
1980 | { | |
1981 | f = -f; | |
1982 | a[ch++] = '-'; | |
1983 | } | |
1984 | else if (f > 0.0); | |
1985 | else | |
1986 | goto funny; | |
1987 | if (IS_INF (f)) | |
1988 | { | |
1989 | if (ch == 0) | |
1990 | a[ch++] = '+'; | |
1991 | funny: | |
1992 | a[ch++] = '#'; | |
1993 | a[ch++] = '.'; | |
1994 | a[ch++] = '#'; | |
1995 | return ch; | |
1996 | } | |
1997 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
1998 | make-uniform-vector, from causing infinite loops. */ | |
1999 | while (f < 1.0) | |
2000 | { | |
2001 | f *= 10.0; | |
2002 | if (exp-- < DBL_MIN_10_EXP) | |
2003 | goto funny; | |
2004 | } | |
2005 | while (f > 10.0) | |
2006 | { | |
2007 | f *= 0.10; | |
2008 | if (exp++ > DBL_MAX_10_EXP) | |
2009 | goto funny; | |
2010 | } | |
2011 | #else | |
2012 | while (f < 1.0) | |
2013 | { | |
2014 | f *= 10.0; | |
2015 | exp--; | |
2016 | } | |
2017 | while (f > 10.0) | |
2018 | { | |
2019 | f /= 10.0; | |
2020 | exp++; | |
2021 | } | |
2022 | #endif | |
2023 | if (f + fx[wp] >= 10.0) | |
2024 | { | |
2025 | f = 1.0; | |
2026 | exp++; | |
2027 | } | |
0f2d19dd | 2028 | zero: |
f872b822 MD |
2029 | #ifdef ENGNOT |
2030 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
2031 | exp -= dpt++; |
2032 | efmt = 1; | |
f872b822 MD |
2033 | #else |
2034 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 2035 | if (!efmt) |
cda139a7 MD |
2036 | { |
2037 | if (exp < 0) | |
2038 | { | |
2039 | a[ch++] = '0'; | |
2040 | a[ch++] = '.'; | |
2041 | dpt = exp; | |
f872b822 MD |
2042 | while (++dpt) |
2043 | a[ch++] = '0'; | |
cda139a7 MD |
2044 | } |
2045 | else | |
f872b822 | 2046 | dpt = exp + 1; |
cda139a7 | 2047 | } |
0f2d19dd JB |
2048 | else |
2049 | dpt = 1; | |
f872b822 MD |
2050 | #endif |
2051 | ||
2052 | do | |
2053 | { | |
2054 | d = f; | |
2055 | f -= d; | |
2056 | a[ch++] = d + '0'; | |
2057 | if (f < fx[wp]) | |
2058 | break; | |
2059 | if (f + fx[wp] >= 1.0) | |
2060 | { | |
2061 | a[ch - 1]++; | |
2062 | break; | |
2063 | } | |
2064 | f *= 10.0; | |
2065 | if (!(--dpt)) | |
2066 | a[ch++] = '.'; | |
0f2d19dd | 2067 | } |
f872b822 | 2068 | while (wp--); |
0f2d19dd JB |
2069 | |
2070 | if (dpt > 0) | |
cda139a7 | 2071 | { |
f872b822 | 2072 | #ifndef ENGNOT |
cda139a7 MD |
2073 | if ((dpt > 4) && (exp > 6)) |
2074 | { | |
f872b822 | 2075 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 2076 | for (i = ch++; i > d; i--) |
f872b822 | 2077 | a[i] = a[i - 1]; |
cda139a7 MD |
2078 | a[d] = '.'; |
2079 | efmt = 1; | |
2080 | } | |
2081 | else | |
f872b822 | 2082 | #endif |
cda139a7 | 2083 | { |
f872b822 MD |
2084 | while (--dpt) |
2085 | a[ch++] = '0'; | |
cda139a7 MD |
2086 | a[ch++] = '.'; |
2087 | } | |
2088 | } | |
f872b822 MD |
2089 | if (a[ch - 1] == '.') |
2090 | a[ch++] = '0'; /* trailing zero */ | |
2091 | if (efmt && exp) | |
2092 | { | |
2093 | a[ch++] = 'e'; | |
2094 | if (exp < 0) | |
2095 | { | |
2096 | exp = -exp; | |
2097 | a[ch++] = '-'; | |
2098 | } | |
2099 | for (i = 10; i <= exp; i *= 10); | |
2100 | for (i /= 10; i; i /= 10) | |
2101 | { | |
2102 | a[ch++] = exp / i + '0'; | |
2103 | exp %= i; | |
2104 | } | |
0f2d19dd | 2105 | } |
0f2d19dd JB |
2106 | return ch; |
2107 | } | |
2108 | ||
1cc91f1b | 2109 | |
0f2d19dd | 2110 | static scm_sizet |
1bbd0b84 | 2111 | iflo2str (SCM flt, char *str) |
0f2d19dd JB |
2112 | { |
2113 | scm_sizet i; | |
f3ae5d60 MD |
2114 | if (SCM_SLOPPY_REALP (flt)) |
2115 | i = idbl2str (SCM_REAL_VALUE (flt), str); | |
0f2d19dd | 2116 | else |
f872b822 | 2117 | { |
f3ae5d60 MD |
2118 | i = idbl2str (SCM_COMPLEX_REAL (flt), str); |
2119 | if (SCM_COMPLEX_IMAG (flt) != 0.0) | |
2120 | { | |
2121 | if (0 <= SCM_COMPLEX_IMAG (flt)) | |
2122 | str[i++] = '+'; | |
2123 | i += idbl2str (SCM_COMPLEX_IMAG (flt), &str[i]); | |
2124 | str[i++] = 'i'; | |
2125 | } | |
f872b822 | 2126 | } |
0f2d19dd JB |
2127 | return i; |
2128 | } | |
0f2d19dd | 2129 | |
5c11cc9d | 2130 | /* convert a long to a string (unterminated). returns the number of |
1bbd0b84 GB |
2131 | characters in the result. |
2132 | rad is output base | |
2133 | p is destination: worst case (base 2) is SCM_INTBUFLEN */ | |
0f2d19dd | 2134 | scm_sizet |
1bbd0b84 | 2135 | scm_iint2str (long num, int rad, char *p) |
0f2d19dd | 2136 | { |
5c11cc9d GH |
2137 | scm_sizet j = 1; |
2138 | scm_sizet i; | |
2139 | unsigned long n = (num < 0) ? -num : num; | |
2140 | ||
f872b822 | 2141 | for (n /= rad; n > 0; n /= rad) |
5c11cc9d GH |
2142 | j++; |
2143 | ||
2144 | i = j; | |
2145 | if (num < 0) | |
f872b822 | 2146 | { |
f872b822 | 2147 | *p++ = '-'; |
5c11cc9d GH |
2148 | j++; |
2149 | n = -num; | |
f872b822 | 2150 | } |
5c11cc9d GH |
2151 | else |
2152 | n = num; | |
f872b822 MD |
2153 | while (i--) |
2154 | { | |
5c11cc9d GH |
2155 | int d = n % rad; |
2156 | ||
f872b822 MD |
2157 | n /= rad; |
2158 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
2159 | } | |
0f2d19dd JB |
2160 | return j; |
2161 | } | |
2162 | ||
2163 | ||
2164 | #ifdef SCM_BIGDIG | |
1cc91f1b | 2165 | |
0f2d19dd | 2166 | static SCM |
1bbd0b84 | 2167 | big2str (SCM b, unsigned int radix) |
0f2d19dd | 2168 | { |
f872b822 MD |
2169 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
2170 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
2171 | scm_sizet i = SCM_NUMDIGS (t); | |
2172 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
2173 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
2174 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
2175 | scm_sizet k = 0; |
2176 | scm_sizet radct = 0; | |
0f2d19dd | 2177 | SCM_BIGDIG radpow = 1, radmod = 0; |
f872b822 | 2178 | SCM ss = scm_makstr ((long) j, 0); |
9eb364fc | 2179 | char *s = SCM_STRING_CHARS (ss), c; |
f872b822 MD |
2180 | while ((long) radpow * radix < SCM_BIGRAD) |
2181 | { | |
2182 | radpow *= radix; | |
2183 | radct++; | |
2184 | } | |
f872b822 MD |
2185 | while ((i || radmod) && j) |
2186 | { | |
2187 | if (k == 0) | |
2188 | { | |
2189 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
2190 | k = radct; | |
2191 | if (!ds[i - 1]) | |
2192 | i--; | |
2193 | } | |
2194 | c = radmod % radix; | |
2195 | radmod /= radix; | |
2196 | k--; | |
2197 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
2198 | } | |
aa3188a7 DH |
2199 | |
2200 | if (SCM_BIGSIGN (b)) | |
2201 | s[--j] = '-'; | |
2202 | ||
2203 | if (j > 0) | |
2204 | { | |
2205 | /* The pre-reserved string length was too large. */ | |
2206 | unsigned long int length = SCM_STRING_LENGTH (ss); | |
2207 | ss = scm_substring (ss, SCM_MAKINUM (j), SCM_MAKINUM (length)); | |
f872b822 | 2208 | } |
b098016b JB |
2209 | |
2210 | return scm_return_first (ss, t); | |
0f2d19dd JB |
2211 | } |
2212 | #endif | |
2213 | ||
2214 | ||
a1ec6916 | 2215 | SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0, |
bb628794 DH |
2216 | (SCM n, SCM radix), |
2217 | "Return a string holding the external representation of the\n" | |
2218 | "number N in the given RADIX. If N is inexact, a radix of 10\n" | |
2219 | "will be used.") | |
1bbd0b84 | 2220 | #define FUNC_NAME s_scm_number_to_string |
0f2d19dd | 2221 | { |
1bbd0b84 | 2222 | int base; |
98cb6e75 DH |
2223 | |
2224 | if (SCM_UNBNDP (radix)) { | |
2225 | base = 10; | |
2226 | } else { | |
2227 | SCM_VALIDATE_INUM (2, radix); | |
2228 | base = SCM_INUM (radix); | |
2229 | SCM_ASSERT_RANGE (2, radix, base >= 2); | |
2230 | } | |
2231 | ||
bb628794 | 2232 | if (SCM_INUMP (n)) { |
98cb6e75 | 2233 | char num_buf [SCM_INTBUFLEN]; |
bb628794 | 2234 | scm_sizet length = scm_iint2str (SCM_INUM (n), base, num_buf); |
98cb6e75 | 2235 | return scm_makfromstr (num_buf, length, 0); |
bb628794 DH |
2236 | } else if (SCM_BIGP (n)) { |
2237 | return big2str (n, (unsigned int) base); | |
2238 | } else if (SCM_INEXACTP (n)) { | |
98cb6e75 | 2239 | char num_buf [SCM_FLOBUFLEN]; |
bb628794 | 2240 | return scm_makfromstr (num_buf, iflo2str (n, num_buf), 0); |
98cb6e75 | 2241 | } else { |
bb628794 | 2242 | SCM_WRONG_TYPE_ARG (1, n); |
0f2d19dd JB |
2243 | } |
2244 | } | |
1bbd0b84 | 2245 | #undef FUNC_NAME |
0f2d19dd JB |
2246 | |
2247 | ||
2248 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
f3ae5d60 | 2249 | SCM_BIGDIG conditionals */ |
1cc91f1b | 2250 | |
0f2d19dd | 2251 | int |
f3ae5d60 | 2252 | scm_print_real (SCM sexp, SCM port, scm_print_state *pstate) |
0f2d19dd | 2253 | { |
0f2d19dd | 2254 | char num_buf[SCM_FLOBUFLEN]; |
f872b822 | 2255 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd JB |
2256 | return !0; |
2257 | } | |
2258 | ||
f3ae5d60 MD |
2259 | int |
2260 | scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate) | |
2261 | { | |
2262 | char num_buf[SCM_FLOBUFLEN]; | |
2263 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); | |
2264 | return !0; | |
2265 | } | |
1cc91f1b | 2266 | |
0f2d19dd | 2267 | int |
1bbd0b84 | 2268 | scm_bigprint (SCM exp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2269 | { |
2270 | #ifdef SCM_BIGDIG | |
f872b822 | 2271 | exp = big2str (exp, (unsigned int) 10); |
aa3188a7 | 2272 | scm_lfwrite (SCM_STRING_CHARS (exp), (scm_sizet) SCM_STRING_LENGTH (exp), port); |
0f2d19dd | 2273 | #else |
f872b822 | 2274 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
2275 | #endif |
2276 | return !0; | |
2277 | } | |
2278 | /*** END nums->strs ***/ | |
2279 | ||
2280 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee JB |
2281 | |
2282 | static SCM | |
1bbd0b84 | 2283 | scm_small_istr2int (char *str, long len, long radix) |
2a8fecee JB |
2284 | { |
2285 | register long n = 0, ln; | |
2286 | register int c; | |
2287 | register int i = 0; | |
2288 | int lead_neg = 0; | |
f872b822 MD |
2289 | if (0 >= len) |
2290 | return SCM_BOOL_F; /* zero scm_length */ | |
2291 | switch (*str) | |
2292 | { /* leading sign */ | |
2293 | case '-': | |
2294 | lead_neg = 1; | |
2295 | case '+': | |
2296 | if (++i == len) | |
2297 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2298 | } | |
2a8fecee | 2299 | |
f872b822 MD |
2300 | do |
2301 | { | |
2302 | switch (c = str[i++]) | |
2303 | { | |
2304 | case DIGITS: | |
2305 | c = c - '0'; | |
2306 | goto accumulate; | |
2307 | case 'A': | |
2308 | case 'B': | |
2309 | case 'C': | |
2310 | case 'D': | |
2311 | case 'E': | |
2312 | case 'F': | |
2313 | c = c - 'A' + 10; | |
2314 | goto accumulate; | |
2315 | case 'a': | |
2316 | case 'b': | |
2317 | case 'c': | |
2318 | case 'd': | |
2319 | case 'e': | |
2320 | case 'f': | |
2321 | c = c - 'a' + 10; | |
2322 | accumulate: | |
2323 | if (c >= radix) | |
2324 | return SCM_BOOL_F; /* bad digit for radix */ | |
2325 | ln = n; | |
2326 | n = n * radix - c; | |
2327 | /* Negation is a workaround for HP700 cc bug */ | |
2328 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
2329 | goto ovfl; | |
2330 | break; | |
2331 | default: | |
2332 | return SCM_BOOL_F; /* not a digit */ | |
2333 | } | |
2a8fecee | 2334 | } |
f872b822 MD |
2335 | while (i < len); |
2336 | if (!lead_neg) | |
2337 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
2338 | goto ovfl; | |
2339 | return SCM_MAKINUM (n); | |
2a8fecee JB |
2340 | ovfl: /* overflow scheme integer */ |
2341 | return SCM_BOOL_F; | |
2342 | } | |
2343 | ||
2344 | ||
1cc91f1b | 2345 | |
0f2d19dd | 2346 | SCM |
1bbd0b84 | 2347 | scm_istr2int (char *str, long len, long radix) |
0f2d19dd JB |
2348 | { |
2349 | scm_sizet j; | |
2350 | register scm_sizet k, blen = 1; | |
2351 | scm_sizet i = 0; | |
2352 | int c; | |
2353 | SCM res; | |
2354 | register SCM_BIGDIG *ds; | |
2355 | register unsigned long t2; | |
2356 | ||
f872b822 MD |
2357 | if (0 >= len) |
2358 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
2359 | |
2360 | /* Short numbers we parse directly into an int, to avoid the overhead | |
2361 | of creating a bignum. */ | |
2362 | if (len < 6) | |
2363 | return scm_small_istr2int (str, len, radix); | |
2364 | ||
f872b822 MD |
2365 | if (16 == radix) |
2366 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 2367 | else if (10 <= radix) |
f872b822 MD |
2368 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
2369 | else | |
2370 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
2371 | switch (str[0]) | |
2372 | { /* leading sign */ | |
2373 | case '-': | |
2374 | case '+': | |
2375 | if (++i == (unsigned) len) | |
2376 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2377 | } | |
2378 | res = scm_mkbig (j, '-' == str[0]); | |
2379 | ds = SCM_BDIGITS (res); | |
2380 | for (k = j; k--;) | |
2381 | ds[k] = 0; | |
2382 | do | |
2383 | { | |
2384 | switch (c = str[i++]) | |
2385 | { | |
2386 | case DIGITS: | |
2387 | c = c - '0'; | |
2388 | goto accumulate; | |
2389 | case 'A': | |
2390 | case 'B': | |
2391 | case 'C': | |
2392 | case 'D': | |
2393 | case 'E': | |
2394 | case 'F': | |
2395 | c = c - 'A' + 10; | |
2396 | goto accumulate; | |
2397 | case 'a': | |
2398 | case 'b': | |
2399 | case 'c': | |
2400 | case 'd': | |
2401 | case 'e': | |
2402 | case 'f': | |
2403 | c = c - 'a' + 10; | |
2404 | accumulate: | |
2405 | if (c >= radix) | |
2406 | return SCM_BOOL_F; /* bad digit for radix */ | |
2407 | k = 0; | |
2408 | t2 = c; | |
2409 | moretodo: | |
2410 | while (k < blen) | |
2411 | { | |
2412 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2413 | t2 += ds[k] * radix; | |
2414 | ds[k++] = SCM_BIGLO (t2); | |
2415 | t2 = SCM_BIGDN (t2); | |
2416 | } | |
2417 | if (blen > j) | |
2418 | scm_num_overflow ("bignum"); | |
2419 | if (t2) | |
2420 | { | |
2421 | blen++; | |
2422 | goto moretodo; | |
2423 | } | |
2424 | break; | |
2425 | default: | |
2426 | return SCM_BOOL_F; /* not a digit */ | |
2427 | } | |
0f2d19dd | 2428 | } |
f872b822 MD |
2429 | while (i < (unsigned) len); |
2430 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2431 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2432 | return res; | |
2433 | if (j == blen) | |
2434 | return res; | |
2435 | return scm_adjbig (res, blen); | |
0f2d19dd | 2436 | } |
0f2d19dd | 2437 | |
0f2d19dd | 2438 | SCM |
1bbd0b84 | 2439 | scm_istr2flo (char *str, long len, long radix) |
0f2d19dd JB |
2440 | { |
2441 | register int c, i = 0; | |
2442 | double lead_sgn; | |
2443 | double res = 0.0, tmp = 0.0; | |
2444 | int flg = 0; | |
2445 | int point = 0; | |
2446 | SCM second; | |
2447 | ||
f872b822 MD |
2448 | if (i >= len) |
2449 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2450 | |
f872b822 MD |
2451 | switch (*str) |
2452 | { /* leading sign */ | |
2453 | case '-': | |
2454 | lead_sgn = -1.0; | |
2455 | i++; | |
2456 | break; | |
2457 | case '+': | |
2458 | lead_sgn = 1.0; | |
2459 | i++; | |
0f2d19dd JB |
2460 | break; |
2461 | default: | |
f872b822 | 2462 | lead_sgn = 0.0; |
0f2d19dd | 2463 | } |
f872b822 MD |
2464 | if (i == len) |
2465 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2466 | ||
2467 | if (str[i] == 'i' || str[i] == 'I') | |
2468 | { /* handle `+i' and `-i' */ | |
2469 | if (lead_sgn == 0.0) | |
2470 | return SCM_BOOL_F; /* must have leading sign */ | |
2471 | if (++i < len) | |
2472 | return SCM_BOOL_F; /* `i' not last character */ | |
f8de44c1 | 2473 | return scm_make_complex (0.0, lead_sgn); |
f872b822 MD |
2474 | } |
2475 | do | |
2476 | { /* check initial digits */ | |
2477 | switch (c = str[i]) | |
2478 | { | |
2479 | case DIGITS: | |
2480 | c = c - '0'; | |
2481 | goto accum1; | |
2482 | case 'D': | |
2483 | case 'E': | |
2484 | case 'F': | |
2485 | if (radix == 10) | |
2486 | goto out1; /* must be exponent */ | |
2487 | case 'A': | |
2488 | case 'B': | |
2489 | case 'C': | |
2490 | c = c - 'A' + 10; | |
2491 | goto accum1; | |
2492 | case 'd': | |
2493 | case 'e': | |
2494 | case 'f': | |
2495 | if (radix == 10) | |
2496 | goto out1; | |
2497 | case 'a': | |
2498 | case 'b': | |
2499 | case 'c': | |
2500 | c = c - 'a' + 10; | |
2501 | accum1: | |
2502 | if (c >= radix) | |
2503 | return SCM_BOOL_F; /* bad digit for radix */ | |
2504 | res = res * radix + c; | |
2505 | flg = 1; /* res is valid */ | |
2506 | break; | |
2507 | default: | |
2508 | goto out1; | |
2509 | } | |
2510 | } | |
2511 | while (++i < len); | |
0f2d19dd JB |
2512 | out1: |
2513 | ||
2514 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2515 | if (i == len) |
2516 | goto done; | |
0f2d19dd JB |
2517 | |
2518 | /* By here, must have seen a digit, | |
2519 | or must have next char be a `.' with radix==10 */ | |
2520 | if (!flg) | |
f872b822 | 2521 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2522 | return SCM_BOOL_F; |
2523 | ||
f872b822 MD |
2524 | while (str[i] == '#') |
2525 | { /* optional sharps */ | |
2526 | res *= radix; | |
2527 | if (++i == len) | |
2528 | goto done; | |
0f2d19dd | 2529 | } |
0f2d19dd | 2530 | |
f872b822 MD |
2531 | if (str[i] == '/') |
2532 | { | |
2533 | while (++i < len) | |
2534 | { | |
2535 | switch (c = str[i]) | |
2536 | { | |
2537 | case DIGITS: | |
2538 | c = c - '0'; | |
2539 | goto accum2; | |
2540 | case 'A': | |
2541 | case 'B': | |
2542 | case 'C': | |
2543 | case 'D': | |
2544 | case 'E': | |
2545 | case 'F': | |
2546 | c = c - 'A' + 10; | |
2547 | goto accum2; | |
2548 | case 'a': | |
2549 | case 'b': | |
2550 | case 'c': | |
2551 | case 'd': | |
2552 | case 'e': | |
2553 | case 'f': | |
2554 | c = c - 'a' + 10; | |
2555 | accum2: | |
2556 | if (c >= radix) | |
2557 | return SCM_BOOL_F; | |
2558 | tmp = tmp * radix + c; | |
2559 | break; | |
2560 | default: | |
2561 | goto out2; | |
2562 | } | |
2563 | } | |
2564 | out2: | |
2565 | if (tmp == 0.0) | |
2566 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2567 | if (i < len) | |
2568 | while (str[i] == '#') | |
2569 | { /* optional sharps */ | |
2570 | tmp *= radix; | |
2571 | if (++i == len) | |
2572 | break; | |
2573 | } | |
2574 | res /= tmp; | |
2575 | goto done; | |
0f2d19dd | 2576 | } |
f872b822 MD |
2577 | |
2578 | if (str[i] == '.') | |
2579 | { /* decimal point notation */ | |
2580 | if (radix != 10) | |
2581 | return SCM_BOOL_F; /* must be radix 10 */ | |
2582 | while (++i < len) | |
2583 | { | |
2584 | switch (c = str[i]) | |
2585 | { | |
2586 | case DIGITS: | |
2587 | point--; | |
2588 | res = res * 10.0 + c - '0'; | |
2589 | flg = 1; | |
2590 | break; | |
2591 | default: | |
2592 | goto out3; | |
2593 | } | |
2594 | } | |
2595 | out3: | |
2596 | if (!flg) | |
2597 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2598 | if (i == len) | |
2599 | goto adjust; | |
2600 | while (str[i] == '#') | |
2601 | { /* ignore remaining sharps */ | |
2602 | if (++i == len) | |
2603 | goto adjust; | |
2604 | } | |
0f2d19dd | 2605 | } |
0f2d19dd | 2606 | |
f872b822 MD |
2607 | switch (str[i]) |
2608 | { /* exponent */ | |
2609 | case 'd': | |
2610 | case 'D': | |
2611 | case 'e': | |
2612 | case 'E': | |
2613 | case 'f': | |
2614 | case 'F': | |
2615 | case 'l': | |
2616 | case 'L': | |
2617 | case 's': | |
2618 | case 'S': | |
2619 | { | |
2620 | int expsgn = 1, expon = 0; | |
2621 | if (radix != 10) | |
2622 | return SCM_BOOL_F; /* only in radix 10 */ | |
2623 | if (++i == len) | |
2624 | return SCM_BOOL_F; /* bad exponent */ | |
2625 | switch (str[i]) | |
2626 | { | |
2627 | case '-': | |
2628 | expsgn = (-1); | |
2629 | case '+': | |
2630 | if (++i == len) | |
2631 | return SCM_BOOL_F; /* bad exponent */ | |
2632 | } | |
2633 | if (str[i] < '0' || str[i] > '9') | |
2634 | return SCM_BOOL_F; /* bad exponent */ | |
2635 | do | |
2636 | { | |
2637 | switch (c = str[i]) | |
2638 | { | |
2639 | case DIGITS: | |
2640 | expon = expon * 10 + c - '0'; | |
f3ae5d60 | 2641 | if (expon > SCM_MAXEXP) |
dd47565a | 2642 | scm_out_of_range ("string->number", SCM_MAKINUM (expon)); |
f872b822 MD |
2643 | break; |
2644 | default: | |
2645 | goto out4; | |
2646 | } | |
2647 | } | |
2648 | while (++i < len); | |
2649 | out4: | |
2650 | point += expsgn * expon; | |
0f2d19dd | 2651 | } |
f872b822 | 2652 | } |
0f2d19dd JB |
2653 | |
2654 | adjust: | |
2655 | if (point >= 0) | |
f872b822 MD |
2656 | while (point--) |
2657 | res *= 10.0; | |
0f2d19dd | 2658 | else |
f872b822 MD |
2659 | #ifdef _UNICOS |
2660 | while (point++) | |
2661 | res *= 0.1; | |
2662 | #else | |
2663 | while (point++) | |
2664 | res /= 10.0; | |
2665 | #endif | |
0f2d19dd JB |
2666 | |
2667 | done: | |
2668 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2669 | if (lead_sgn == -1.0) |
2670 | res = -res; | |
2671 | if (i == len) | |
f8de44c1 | 2672 | return scm_make_real (res); |
f872b822 MD |
2673 | |
2674 | if (str[i] == 'i' || str[i] == 'I') | |
2675 | { /* pure imaginary number */ | |
2676 | if (lead_sgn == 0.0) | |
2677 | return SCM_BOOL_F; /* must have leading sign */ | |
2678 | if (++i < len) | |
2679 | return SCM_BOOL_F; /* `i' not last character */ | |
f8de44c1 | 2680 | return scm_make_complex (0.0, res); |
f872b822 | 2681 | } |
0f2d19dd | 2682 | |
f872b822 MD |
2683 | switch (str[i++]) |
2684 | { | |
2685 | case '-': | |
2686 | lead_sgn = -1.0; | |
2687 | break; | |
2688 | case '+': | |
2689 | lead_sgn = 1.0; | |
2690 | break; | |
2691 | case '@': | |
2692 | { /* polar input for complex number */ | |
2693 | /* get a `real' for scm_angle */ | |
2694 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
f3ae5d60 | 2695 | if (!SCM_SLOPPY_INEXACTP (second)) |
f872b822 | 2696 | return SCM_BOOL_F; /* not `real' */ |
f3ae5d60 | 2697 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 | 2698 | return SCM_BOOL_F; /* not `real' */ |
5986c47d | 2699 | tmp = SCM_REAL_VALUE (second); |
f8de44c1 | 2700 | return scm_make_complex (res * cos (tmp), res * sin (tmp)); |
f872b822 MD |
2701 | } |
2702 | default: | |
2703 | return SCM_BOOL_F; | |
2704 | } | |
0f2d19dd JB |
2705 | |
2706 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2707 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2708 | return SCM_BOOL_F; | |
0f2d19dd | 2709 | /* handles `x+i' and `x-i' */ |
f872b822 | 2710 | if (i == (len - 1)) |
f8de44c1 | 2711 | return scm_make_complex (res, lead_sgn); |
0f2d19dd | 2712 | /* get a `ureal' for complex part */ |
f872b822 | 2713 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
f3ae5d60 | 2714 | if (!SCM_INEXACTP (second)) |
f872b822 | 2715 | return SCM_BOOL_F; /* not `ureal' */ |
f3ae5d60 | 2716 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 | 2717 | return SCM_BOOL_F; /* not `ureal' */ |
5986c47d | 2718 | tmp = SCM_REAL_VALUE (second); |
f872b822 MD |
2719 | if (tmp < 0.0) |
2720 | return SCM_BOOL_F; /* not `ureal' */ | |
f8de44c1 | 2721 | return scm_make_complex (res, (lead_sgn * tmp)); |
0f2d19dd | 2722 | } |
0f2d19dd JB |
2723 | |
2724 | ||
1cc91f1b | 2725 | |
0f2d19dd | 2726 | SCM |
1bbd0b84 | 2727 | scm_istring2number (char *str, long len, long radix) |
0f2d19dd JB |
2728 | { |
2729 | int i = 0; | |
2730 | char ex = 0; | |
2731 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2732 | SCM res; | |
f872b822 MD |
2733 | if (len == 1) |
2734 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2735 | return SCM_BOOL_F; |
2736 | ||
f872b822 MD |
2737 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2738 | switch (str[i++]) | |
2739 | { | |
2740 | case 'b': | |
2741 | case 'B': | |
2742 | if (rx_p++) | |
2743 | return SCM_BOOL_F; | |
2744 | radix = 2; | |
2745 | break; | |
2746 | case 'o': | |
2747 | case 'O': | |
2748 | if (rx_p++) | |
2749 | return SCM_BOOL_F; | |
2750 | radix = 8; | |
2751 | break; | |
2752 | case 'd': | |
2753 | case 'D': | |
2754 | if (rx_p++) | |
2755 | return SCM_BOOL_F; | |
2756 | radix = 10; | |
2757 | break; | |
2758 | case 'x': | |
2759 | case 'X': | |
2760 | if (rx_p++) | |
2761 | return SCM_BOOL_F; | |
2762 | radix = 16; | |
2763 | break; | |
2764 | case 'i': | |
2765 | case 'I': | |
2766 | if (ex_p++) | |
2767 | return SCM_BOOL_F; | |
2768 | ex = 2; | |
2769 | break; | |
2770 | case 'e': | |
2771 | case 'E': | |
2772 | if (ex_p++) | |
2773 | return SCM_BOOL_F; | |
2774 | ex = 1; | |
2775 | break; | |
2776 | default: | |
2777 | return SCM_BOOL_F; | |
2778 | } | |
2779 | ||
2780 | switch (ex) | |
2781 | { | |
2782 | case 1: | |
2783 | return scm_istr2int (&str[i], len - i, radix); | |
2784 | case 0: | |
2785 | res = scm_istr2int (&str[i], len - i, radix); | |
2786 | if (SCM_NFALSEP (res)) | |
2787 | return res; | |
f872b822 MD |
2788 | case 2: |
2789 | return scm_istr2flo (&str[i], len - i, radix); | |
f872b822 | 2790 | } |
0f2d19dd JB |
2791 | return SCM_BOOL_F; |
2792 | } | |
2793 | ||
2794 | ||
a1ec6916 | 2795 | SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0, |
bb628794 DH |
2796 | (SCM string, SCM radix), |
2797 | "Returns a number of the maximally precise representation\n" | |
2798 | "expressed by the given STRING. RADIX must be an exact integer,\n" | |
2799 | "either 2, 8, 10, or 16. If supplied, RADIX is a default radix\n" | |
2800 | "that may be overridden by an explicit radix prefix in STRING\n" | |
2801 | "(e.g. \"#o177\"). If RADIX is not supplied, then the default\n" | |
2802 | "radix is 10. If string is not a syntactically valid notation\n" | |
2803 | "for a number, then `string->number' returns #f. (r5rs)") | |
1bbd0b84 | 2804 | #define FUNC_NAME s_scm_string_to_number |
0f2d19dd JB |
2805 | { |
2806 | SCM answer; | |
1bbd0b84 | 2807 | int base; |
a6d9e5ab | 2808 | SCM_VALIDATE_STRING (1, string); |
3b3b36dd | 2809 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); |
34f0f2b8 | 2810 | answer = scm_istring2number (SCM_STRING_CHARS (string), |
a6d9e5ab | 2811 | SCM_STRING_LENGTH (string), |
1bbd0b84 | 2812 | base); |
bb628794 | 2813 | return scm_return_first (answer, string); |
0f2d19dd | 2814 | } |
1bbd0b84 | 2815 | #undef FUNC_NAME |
0f2d19dd JB |
2816 | /*** END strs->nums ***/ |
2817 | ||
5986c47d | 2818 | |
0f2d19dd | 2819 | SCM |
f3ae5d60 | 2820 | scm_make_real (double x) |
0f2d19dd JB |
2821 | { |
2822 | SCM z; | |
3a9809df DH |
2823 | SCM_NEWCELL2 (z); |
2824 | SCM_SET_CELL_TYPE (z, scm_tc16_real); | |
2825 | SCM_REAL_VALUE (z) = x; | |
0f2d19dd JB |
2826 | return z; |
2827 | } | |
0f2d19dd | 2828 | |
5986c47d | 2829 | |
f3ae5d60 MD |
2830 | SCM |
2831 | scm_make_complex (double x, double y) | |
2832 | { | |
3a9809df DH |
2833 | if (y == 0.0) { |
2834 | return scm_make_real (x); | |
2835 | } else { | |
2836 | SCM z; | |
2837 | SCM_NEWSMOB (z, scm_tc16_complex, scm_must_malloc (2L * sizeof (double), "complex")); | |
2838 | SCM_COMPLEX_REAL (z) = x; | |
2839 | SCM_COMPLEX_IMAG (z) = y; | |
2840 | return z; | |
2841 | } | |
f3ae5d60 | 2842 | } |
1cc91f1b | 2843 | |
5986c47d | 2844 | |
0f2d19dd | 2845 | SCM |
1bbd0b84 | 2846 | scm_bigequal (SCM x, SCM y) |
0f2d19dd JB |
2847 | { |
2848 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2849 | if (0 == scm_bigcomp (x, y)) |
2850 | return SCM_BOOL_T; | |
0f2d19dd JB |
2851 | #endif |
2852 | return SCM_BOOL_F; | |
2853 | } | |
2854 | ||
0f2d19dd | 2855 | SCM |
f3ae5d60 | 2856 | scm_real_equalp (SCM x, SCM y) |
0f2d19dd | 2857 | { |
f3ae5d60 | 2858 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); |
0f2d19dd JB |
2859 | } |
2860 | ||
f3ae5d60 MD |
2861 | SCM |
2862 | scm_complex_equalp (SCM x, SCM y) | |
2863 | { | |
2864 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2865 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2866 | } | |
0f2d19dd JB |
2867 | |
2868 | ||
2869 | ||
1bbd0b84 | 2870 | SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
1cc91f1b | 2871 | |
a1ec6916 | 2872 | SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0, |
1bbd0b84 | 2873 | (SCM x), |
bb628794 DH |
2874 | "Return #t if X is a complex number, #f else. Note that the\n" |
2875 | "sets of real, rational and integer values form subsets of the\n" | |
2876 | "set of complex numbers, i. e. the predicate will also be\n" | |
2877 | "fulfilled if X is a real, rational or integer number.") | |
1bbd0b84 | 2878 | #define FUNC_NAME s_scm_number_p |
0f2d19dd | 2879 | { |
bb628794 | 2880 | return SCM_BOOL (SCM_NUMBERP (x)); |
0f2d19dd | 2881 | } |
1bbd0b84 | 2882 | #undef FUNC_NAME |
0f2d19dd JB |
2883 | |
2884 | ||
1bbd0b84 | 2885 | SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
1cc91f1b | 2886 | |
a1ec6916 | 2887 | SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0, |
1bbd0b84 | 2888 | (SCM x), |
bb628794 DH |
2889 | "Return #t if X is a rational number, #f else. Note that the\n" |
2890 | "set of integer values forms a subset of the set of rational\n" | |
2891 | "numbers, i. e. the predicate will also be fulfilled if X is an\n" | |
2892 | "integer number.") | |
1bbd0b84 | 2893 | #define FUNC_NAME s_scm_real_p |
0f2d19dd | 2894 | { |
bb628794 | 2895 | if (SCM_INUMP (x)) { |
0f2d19dd | 2896 | return SCM_BOOL_T; |
bb628794 | 2897 | } else if (SCM_IMP (x)) { |
0f2d19dd | 2898 | return SCM_BOOL_F; |
bb628794 | 2899 | } else if (SCM_SLOPPY_REALP (x)) { |
0f2d19dd | 2900 | return SCM_BOOL_T; |
bb628794 | 2901 | } else if (SCM_BIGP (x)) { |
0f2d19dd | 2902 | return SCM_BOOL_T; |
bb628794 DH |
2903 | } else { |
2904 | return SCM_BOOL_F; | |
2905 | } | |
0f2d19dd | 2906 | } |
1bbd0b84 | 2907 | #undef FUNC_NAME |
0f2d19dd JB |
2908 | |
2909 | ||
a1ec6916 | 2910 | SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0, |
1bbd0b84 | 2911 | (SCM x), |
bb628794 | 2912 | "Return #t if X is an integer number, #f else.") |
1bbd0b84 | 2913 | #define FUNC_NAME s_scm_integer_p |
0f2d19dd JB |
2914 | { |
2915 | double r; | |
f872b822 MD |
2916 | if (SCM_INUMP (x)) |
2917 | return SCM_BOOL_T; | |
2918 | if (SCM_IMP (x)) | |
2919 | return SCM_BOOL_F; | |
f872b822 MD |
2920 | if (SCM_BIGP (x)) |
2921 | return SCM_BOOL_T; | |
f3ae5d60 | 2922 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 | 2923 | return SCM_BOOL_F; |
f3ae5d60 | 2924 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 | 2925 | return SCM_BOOL_F; |
5986c47d | 2926 | r = SCM_REAL_VALUE (x); |
f872b822 MD |
2927 | if (r == floor (r)) |
2928 | return SCM_BOOL_T; | |
0f2d19dd JB |
2929 | return SCM_BOOL_F; |
2930 | } | |
1bbd0b84 | 2931 | #undef FUNC_NAME |
0f2d19dd JB |
2932 | |
2933 | ||
a1ec6916 | 2934 | SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0, |
1bbd0b84 | 2935 | (SCM x), |
bb628794 | 2936 | "Return #t if X is an inexact number, #f else.") |
1bbd0b84 | 2937 | #define FUNC_NAME s_scm_inexact_p |
0f2d19dd | 2938 | { |
f4c627b3 | 2939 | return SCM_BOOL (SCM_INEXACTP (x)); |
0f2d19dd | 2940 | } |
1bbd0b84 | 2941 | #undef FUNC_NAME |
0f2d19dd JB |
2942 | |
2943 | ||
152f82bf | 2944 | SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p); |
1cc91f1b | 2945 | |
0f2d19dd | 2946 | SCM |
6e8d25a6 | 2947 | scm_num_eq_p (SCM x, SCM y) |
0f2d19dd | 2948 | { |
f4c627b3 DH |
2949 | if (SCM_INUMP (x)) { |
2950 | long xx = SCM_INUM (x); | |
2951 | if (SCM_INUMP (y)) { | |
2952 | long yy = SCM_INUM (y); | |
2953 | return SCM_BOOL (xx == yy); | |
2954 | } else if (SCM_BIGP (y)) { | |
2955 | return SCM_BOOL_F; | |
2956 | } else if (SCM_REALP (y)) { | |
2957 | return SCM_BOOL ((double) xx == SCM_REAL_VALUE (y)); | |
2958 | } else if (SCM_COMPLEXP (y)) { | |
2959 | return SCM_BOOL (((double) xx == SCM_COMPLEX_REAL (y)) | |
2960 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
2961 | } else { | |
2962 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
f872b822 | 2963 | } |
f4c627b3 DH |
2964 | } else if (SCM_BIGP (x)) { |
2965 | if (SCM_INUMP (y)) { | |
2966 | return SCM_BOOL_F; | |
2967 | } else if (SCM_BIGP (y)) { | |
2968 | return SCM_BOOL (0 == scm_bigcomp (x, y)); | |
2969 | } else if (SCM_REALP (y)) { | |
2970 | return SCM_BOOL (scm_big2dbl (x) == SCM_REAL_VALUE (y)); | |
2971 | } else if (SCM_COMPLEXP (y)) { | |
2972 | return SCM_BOOL ((scm_big2dbl (x) == SCM_COMPLEX_REAL (y)) | |
2973 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
2974 | } else { | |
2975 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
2976 | } | |
2977 | } else if (SCM_REALP (x)) { | |
2978 | if (SCM_INUMP (y)) { | |
2979 | return SCM_BOOL (SCM_REAL_VALUE (x) == (double) SCM_INUM (y)); | |
2980 | } else if (SCM_BIGP (y)) { | |
2981 | return SCM_BOOL (SCM_REAL_VALUE (x) == scm_big2dbl (y)); | |
2982 | } else if (SCM_REALP (y)) { | |
2983 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); | |
2984 | } else if (SCM_COMPLEXP (y)) { | |
2985 | return SCM_BOOL ((SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y)) | |
2986 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
2987 | } else { | |
2988 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
f872b822 | 2989 | } |
f4c627b3 DH |
2990 | } else if (SCM_COMPLEXP (x)) { |
2991 | if (SCM_INUMP (y)) { | |
2992 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == (double) SCM_INUM (y)) | |
2993 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
2994 | } else if (SCM_BIGP (y)) { | |
2995 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == scm_big2dbl (y)) | |
2996 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
2997 | } else if (SCM_REALP (y)) { | |
2998 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y)) | |
2999 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
3000 | } else if (SCM_COMPLEXP (y)) { | |
3001 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y)) | |
3002 | && (SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y))); | |
3003 | } else { | |
3004 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
3005 | } | |
3006 | } else { | |
3007 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p); | |
3008 | } | |
0f2d19dd JB |
3009 | } |
3010 | ||
3011 | ||
152f82bf | 3012 | SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p); |
1cc91f1b | 3013 | |
0f2d19dd | 3014 | SCM |
6e8d25a6 | 3015 | scm_less_p (SCM x, SCM y) |
0f2d19dd | 3016 | { |
f4c627b3 DH |
3017 | if (SCM_INUMP (x)) { |
3018 | long xx = SCM_INUM (x); | |
3019 | if (SCM_INUMP (y)) { | |
3020 | long yy = SCM_INUM (y); | |
3021 | return SCM_BOOL (xx < yy); | |
3022 | } else if (SCM_BIGP (y)) { | |
3023 | return SCM_BOOL (!SCM_BIGSIGN (y)); | |
3024 | } else if (SCM_REALP (y)) { | |
3025 | return SCM_BOOL ((double) xx < SCM_REAL_VALUE (y)); | |
3026 | } else { | |
3027 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
f872b822 | 3028 | } |
f4c627b3 DH |
3029 | } else if (SCM_BIGP (x)) { |
3030 | if (SCM_INUMP (y)) { | |
3031 | return SCM_BOOL (SCM_BIGSIGN (x)); | |
3032 | } else if (SCM_BIGP (y)) { | |
3033 | return SCM_BOOL (1 == scm_bigcomp (x, y)); | |
3034 | } else if (SCM_REALP (y)) { | |
3035 | return SCM_BOOL (scm_big2dbl (x) < SCM_REAL_VALUE (y)); | |
3036 | } else { | |
3037 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
3038 | } | |
3039 | } else if (SCM_REALP (x)) { | |
3040 | if (SCM_INUMP (y)) { | |
3041 | return SCM_BOOL (SCM_REAL_VALUE (x) < (double) SCM_INUM (y)); | |
3042 | } else if (SCM_BIGP (y)) { | |
3043 | return SCM_BOOL (SCM_REAL_VALUE (x) < scm_big2dbl (y)); | |
3044 | } else if (SCM_REALP (y)) { | |
3045 | return SCM_BOOL (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)); | |
3046 | } else { | |
3047 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
f872b822 | 3048 | } |
f4c627b3 DH |
3049 | } else { |
3050 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p); | |
3051 | } | |
0f2d19dd JB |
3052 | } |
3053 | ||
3054 | ||
c76b1eaf MD |
3055 | SCM_GPROC1 (s_scm_gr_p, ">", scm_tc7_rpsubr, scm_gr_p, g_gr_p); |
3056 | /* "Return #t if the list of parameters is monotonically\n" | |
3057 | * "increasing." | |
3058 | */ | |
1bbd0b84 | 3059 | #define FUNC_NAME s_scm_gr_p |
c76b1eaf MD |
3060 | SCM |
3061 | scm_gr_p (SCM x, SCM y) | |
0f2d19dd | 3062 | { |
c76b1eaf MD |
3063 | if (!SCM_NUMBERP (x)) |
3064 | SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG1, FUNC_NAME); | |
3065 | else if (!SCM_NUMBERP (y)) | |
3066 | SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG2, FUNC_NAME); | |
3067 | else | |
3068 | return scm_less_p (y, x); | |
0f2d19dd | 3069 | } |
1bbd0b84 | 3070 | #undef FUNC_NAME |
0f2d19dd JB |
3071 | |
3072 | ||
c76b1eaf MD |
3073 | SCM_GPROC1 (s_scm_leq_p, "<=", scm_tc7_rpsubr, scm_leq_p, g_leq_p); |
3074 | /* "Return #t if the list of parameters is monotonically\n" | |
3075 | * "non-decreasing." | |
3076 | */ | |
1bbd0b84 | 3077 | #define FUNC_NAME s_scm_leq_p |
c76b1eaf MD |
3078 | SCM |
3079 | scm_leq_p (SCM x, SCM y) | |
0f2d19dd | 3080 | { |
c76b1eaf MD |
3081 | if (!SCM_NUMBERP (x)) |
3082 | SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG1, FUNC_NAME); | |
3083 | else if (!SCM_NUMBERP (y)) | |
3084 | SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG2, FUNC_NAME); | |
3085 | else | |
3086 | return SCM_BOOL_NOT (scm_less_p (y, x)); | |
0f2d19dd | 3087 | } |
1bbd0b84 | 3088 | #undef FUNC_NAME |
0f2d19dd JB |
3089 | |
3090 | ||
c76b1eaf MD |
3091 | SCM_GPROC1 (s_scm_geq_p, ">=", scm_tc7_rpsubr, scm_geq_p, g_geq_p); |
3092 | /* "Return #t if the list of parameters is monotonically\n" | |
3093 | * "non-increasing." | |
3094 | */ | |
1bbd0b84 | 3095 | #define FUNC_NAME s_scm_geq_p |
c76b1eaf MD |
3096 | SCM |
3097 | scm_geq_p (SCM x, SCM y) | |
0f2d19dd | 3098 | { |
c76b1eaf MD |
3099 | if (!SCM_NUMBERP (x)) |
3100 | SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG1, FUNC_NAME); | |
3101 | else if (!SCM_NUMBERP (y)) | |
3102 | SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG2, FUNC_NAME); | |
3103 | else | |
f872b822 | 3104 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd | 3105 | } |
1bbd0b84 | 3106 | #undef FUNC_NAME |
0f2d19dd JB |
3107 | |
3108 | ||
152f82bf | 3109 | SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p); |
1cc91f1b | 3110 | |
0f2d19dd | 3111 | SCM |
6e8d25a6 | 3112 | scm_zero_p (SCM z) |
0f2d19dd | 3113 | { |
c2ff8ab0 DH |
3114 | if (SCM_INUMP (z)) { |
3115 | return SCM_BOOL (SCM_EQ_P (z, SCM_INUM0)); | |
3116 | } else if (SCM_BIGP (z)) { | |
3117 | return SCM_BOOL_F; | |
3118 | } else if (SCM_REALP (z)) { | |
3119 | return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0); | |
3120 | } else if (SCM_COMPLEXP (z)) { | |
3121 | return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0 | |
3122 | && SCM_COMPLEX_IMAG (z) == 0.0); | |
3123 | } else { | |
3124 | SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p); | |
3125 | } | |
0f2d19dd JB |
3126 | } |
3127 | ||
3128 | ||
152f82bf | 3129 | SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p); |
1cc91f1b | 3130 | |
0f2d19dd | 3131 | SCM |
6e8d25a6 | 3132 | scm_positive_p (SCM x) |
0f2d19dd | 3133 | { |
c2ff8ab0 DH |
3134 | if (SCM_INUMP (x)) { |
3135 | return SCM_BOOL (SCM_INUM (x) > 0); | |
3136 | } else if (SCM_BIGP (x)) { | |
3137 | return SCM_BOOL (!SCM_BIGSIGN (x)); | |
3138 | } else if (SCM_REALP (x)) { | |
3139 | return SCM_BOOL(SCM_REAL_VALUE (x) > 0.0); | |
3140 | } else { | |
3141 | SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p); | |
3142 | } | |
0f2d19dd JB |
3143 | } |
3144 | ||
3145 | ||
152f82bf | 3146 | SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p); |
1cc91f1b | 3147 | |
0f2d19dd | 3148 | SCM |
6e8d25a6 | 3149 | scm_negative_p (SCM x) |
0f2d19dd | 3150 | { |
c2ff8ab0 DH |
3151 | if (SCM_INUMP (x)) { |
3152 | return SCM_BOOL (SCM_INUM (x) < 0); | |
3153 | } else if (SCM_BIGP (x)) { | |
3154 | return SCM_BOOL (SCM_BIGSIGN (x)); | |
3155 | } else if (SCM_REALP (x)) { | |
3156 | return SCM_BOOL(SCM_REAL_VALUE (x) < 0.0); | |
3157 | } else { | |
3158 | SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p); | |
3159 | } | |
0f2d19dd JB |
3160 | } |
3161 | ||
3162 | ||
9de33deb | 3163 | SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max); |
1cc91f1b | 3164 | |
0f2d19dd | 3165 | SCM |
6e8d25a6 | 3166 | scm_max (SCM x, SCM y) |
0f2d19dd | 3167 | { |
f4c627b3 DH |
3168 | if (SCM_UNBNDP (y)) { |
3169 | if (SCM_UNBNDP (x)) { | |
3170 | SCM_WTA_DISPATCH_0 (g_max, x, SCM_ARG1, s_max); | |
3171 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3172 | return x; |
f4c627b3 DH |
3173 | } else { |
3174 | SCM_WTA_DISPATCH_1 (g_max, x, SCM_ARG1, s_max); | |
f872b822 | 3175 | } |
f4c627b3 DH |
3176 | } |
3177 | ||
3178 | if (SCM_INUMP (x)) { | |
3179 | long xx = SCM_INUM (x); | |
3180 | if (SCM_INUMP (y)) { | |
3181 | long yy = SCM_INUM (y); | |
3182 | return (xx < yy) ? y : x; | |
3183 | } else if (SCM_BIGP (y)) { | |
3184 | return SCM_BIGSIGN (y) ? x : y; | |
3185 | } else if (SCM_REALP (y)) { | |
3186 | double z = xx; | |
3187 | return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z); | |
3188 | } else { | |
3189 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
f872b822 | 3190 | } |
f4c627b3 DH |
3191 | } else if (SCM_BIGP (x)) { |
3192 | if (SCM_INUMP (y)) { | |
3193 | return SCM_BIGSIGN (x) ? y : x; | |
3194 | } else if (SCM_BIGP (y)) { | |
3195 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
3196 | } else if (SCM_REALP (y)) { | |
3197 | double z = scm_big2dbl (x); | |
3198 | return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z); | |
3199 | } else { | |
3200 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
3201 | } | |
3202 | } else if (SCM_REALP (x)) { | |
3203 | if (SCM_INUMP (y)) { | |
3204 | double z = SCM_INUM (y); | |
3205 | return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x; | |
3206 | } else if (SCM_BIGP (y)) { | |
3207 | double z = scm_big2dbl (y); | |
3208 | return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x; | |
3209 | } else if (SCM_REALP (y)) { | |
3210 | return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? y : x; | |
3211 | } else { | |
3212 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
f872b822 | 3213 | } |
f4c627b3 DH |
3214 | } else { |
3215 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max); | |
3216 | } | |
0f2d19dd JB |
3217 | } |
3218 | ||
3219 | ||
9de33deb | 3220 | SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min); |
1cc91f1b | 3221 | |
0f2d19dd | 3222 | SCM |
6e8d25a6 | 3223 | scm_min (SCM x, SCM y) |
0f2d19dd | 3224 | { |
f4c627b3 DH |
3225 | if (SCM_UNBNDP (y)) { |
3226 | if (SCM_UNBNDP (x)) { | |
3227 | SCM_WTA_DISPATCH_0 (g_min, x, SCM_ARG1, s_min); | |
3228 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3229 | return x; |
f4c627b3 DH |
3230 | } else { |
3231 | SCM_WTA_DISPATCH_1 (g_min, x, SCM_ARG1, s_min); | |
f872b822 | 3232 | } |
f4c627b3 DH |
3233 | } |
3234 | ||
3235 | if (SCM_INUMP (x)) { | |
3236 | long xx = SCM_INUM (x); | |
3237 | if (SCM_INUMP (y)) { | |
3238 | long yy = SCM_INUM (y); | |
3239 | return (xx < yy) ? x : y; | |
3240 | } else if (SCM_BIGP (y)) { | |
3241 | return SCM_BIGSIGN (y) ? y : x; | |
3242 | } else if (SCM_REALP (y)) { | |
3243 | double z = xx; | |
3244 | return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y; | |
3245 | } else { | |
3246 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
f872b822 | 3247 | } |
f4c627b3 DH |
3248 | } else if (SCM_BIGP (x)) { |
3249 | if (SCM_INUMP (y)) { | |
3250 | return SCM_BIGSIGN (x) ? x : y; | |
3251 | } else if (SCM_BIGP (y)) { | |
3252 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
3253 | } else if (SCM_REALP (y)) { | |
3254 | double z = scm_big2dbl (x); | |
3255 | return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y; | |
3256 | } else { | |
3257 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
3258 | } | |
3259 | } else if (SCM_REALP (x)) { | |
3260 | if (SCM_INUMP (y)) { | |
3261 | double z = SCM_INUM (y); | |
3262 | return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z); | |
3263 | } else if (SCM_BIGP (y)) { | |
3264 | double z = scm_big2dbl (y); | |
3265 | return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z); | |
3266 | } else if (SCM_REALP (y)) { | |
3267 | return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? x : y; | |
3268 | } else { | |
3269 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
f872b822 | 3270 | } |
f4c627b3 DH |
3271 | } else { |
3272 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min); | |
3273 | } | |
0f2d19dd JB |
3274 | } |
3275 | ||
3276 | ||
9de33deb | 3277 | SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum); |
1cc91f1b | 3278 | |
0f2d19dd | 3279 | SCM |
6e8d25a6 | 3280 | scm_sum (SCM x, SCM y) |
0f2d19dd | 3281 | { |
98cb6e75 DH |
3282 | if (SCM_UNBNDP (y)) { |
3283 | if (SCM_UNBNDP (x)) { | |
3284 | return SCM_INUM0; | |
3285 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3286 | return x; |
98cb6e75 DH |
3287 | } else { |
3288 | SCM_WTA_DISPATCH_1 (g_sum, x, SCM_ARG1, s_sum); | |
f872b822 | 3289 | } |
98cb6e75 | 3290 | } |
c209c88e | 3291 | |
98cb6e75 DH |
3292 | if (SCM_INUMP (x)) { |
3293 | long int xx = SCM_INUM (x); | |
3294 | if (SCM_INUMP (y)) { | |
3295 | long int yy = SCM_INUM (y); | |
3296 | long int z = xx + yy; | |
3297 | if (SCM_FIXABLE (z)) { | |
3298 | return SCM_MAKINUM (z); | |
3299 | } else { | |
3300 | #ifdef SCM_BIGDIG | |
3301 | return scm_long2big (z); | |
3302 | #else /* SCM_BIGDIG */ | |
3303 | return scm_make_real ((double) z); | |
3304 | #endif /* SCM_BIGDIG */ | |
3305 | } | |
3306 | } else if (SCM_BIGP (y)) { | |
3307 | intbig: | |
f872b822 | 3308 | { |
98cb6e75 DH |
3309 | long int xx = SCM_INUM (x); |
3310 | #ifndef SCM_DIGSTOOBIG | |
3311 | long z = scm_pseudolong (xx); | |
3312 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3313 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0); | |
3314 | #else /* SCM_DIGSTOOBIG */ | |
3315 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; | |
3316 | scm_longdigs (xx, zdigs); | |
3317 | return scm_addbig (zdigs, SCM_DIGSPERLONG, | |
3318 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0); | |
3319 | #endif /* SCM_DIGSTOOBIG */ | |
0f2d19dd | 3320 | } |
98cb6e75 DH |
3321 | } else if (SCM_REALP (y)) { |
3322 | return scm_make_real (xx + SCM_REAL_VALUE (y)); | |
3323 | } else if (SCM_COMPLEXP (y)) { | |
3324 | return scm_make_complex (xx + SCM_COMPLEX_REAL (y), | |
3325 | SCM_COMPLEX_IMAG (y)); | |
3326 | } else { | |
3327 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
f872b822 | 3328 | } |
98cb6e75 DH |
3329 | } else if (SCM_BIGP (x)) { |
3330 | if (SCM_INUMP (y)) { | |
3331 | SCM_SWAP (x, y); | |
3332 | goto intbig; | |
3333 | } else if (SCM_BIGP (y)) { | |
3334 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) { | |
3335 | SCM_SWAP (x, y); | |
3336 | } | |
3337 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3338 | SCM_BIGSIGN (x), y, 0); | |
3339 | } else if (SCM_REALP (y)) { | |
3340 | return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y)); | |
3341 | } else if (SCM_COMPLEXP (y)) { | |
3342 | return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y), | |
3343 | SCM_COMPLEX_IMAG (y)); | |
3344 | } else { | |
3345 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
f872b822 | 3346 | } |
98cb6e75 DH |
3347 | } else if (SCM_REALP (x)) { |
3348 | if (SCM_INUMP (y)) { | |
3349 | return scm_make_real (SCM_REAL_VALUE (x) + SCM_INUM (y)); | |
3350 | } else if (SCM_BIGP (y)) { | |
3351 | return scm_make_real (SCM_REAL_VALUE (x) + scm_big2dbl (y)); | |
3352 | } else if (SCM_REALP (y)) { | |
3353 | return scm_make_real (SCM_REAL_VALUE (x) + SCM_REAL_VALUE (y)); | |
3354 | } else if (SCM_COMPLEXP (y)) { | |
3355 | return scm_make_complex (SCM_REAL_VALUE (x) + SCM_COMPLEX_REAL (y), | |
3356 | SCM_COMPLEX_IMAG (y)); | |
3357 | } else { | |
3358 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
3359 | } | |
3360 | } else if (SCM_COMPLEXP (x)) { | |
3361 | if (SCM_INUMP (y)) { | |
3362 | return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_INUM (y), | |
3363 | SCM_COMPLEX_IMAG (x)); | |
3364 | } else if (SCM_BIGP (y)) { | |
3365 | return scm_make_complex (SCM_COMPLEX_REAL (x) + scm_big2dbl (y), | |
3366 | SCM_COMPLEX_IMAG (x)); | |
3367 | } else if (SCM_REALP (y)) { | |
3368 | return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_REAL_VALUE (y), | |
3369 | SCM_COMPLEX_IMAG (x)); | |
3370 | } else if (SCM_COMPLEXP (y)) { | |
3371 | return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_COMPLEX_REAL (y), | |
3372 | SCM_COMPLEX_IMAG (x) + SCM_COMPLEX_IMAG (y)); | |
3373 | } else { | |
3374 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); | |
3375 | } | |
3376 | } else { | |
3377 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum); | |
3378 | } | |
0f2d19dd JB |
3379 | } |
3380 | ||
3381 | ||
9de33deb | 3382 | SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference); |
1cc91f1b | 3383 | |
0f2d19dd | 3384 | SCM |
6e8d25a6 | 3385 | scm_difference (SCM x, SCM y) |
0f2d19dd | 3386 | { |
98cb6e75 DH |
3387 | if (SCM_UNBNDP (y)) { |
3388 | if (SCM_INUMP (x)) { | |
3389 | long xx = -SCM_INUM (x); | |
3390 | if (SCM_FIXABLE (xx)) { | |
3391 | return SCM_MAKINUM (xx); | |
3392 | } else { | |
f872b822 | 3393 | #ifdef SCM_BIGDIG |
98cb6e75 | 3394 | return scm_long2big (xx); |
f3ae5d60 | 3395 | #else |
98cb6e75 | 3396 | return scm_make_real ((double) xx); |
f3ae5d60 | 3397 | #endif |
f3ae5d60 | 3398 | } |
98cb6e75 DH |
3399 | } else if (SCM_BIGP (x)) { |
3400 | SCM z = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3401 | unsigned int digs = SCM_NUMDIGS (z); | |
3402 | unsigned int size = digs * SCM_BITSPERDIG / SCM_CHAR_BIT; | |
3403 | return size <= sizeof (SCM) ? scm_big2inum (z, digs) : z; | |
3404 | } else if (SCM_REALP (x)) { | |
3405 | return scm_make_real (-SCM_REAL_VALUE (x)); | |
3406 | } else if (SCM_COMPLEXP (x)) { | |
3407 | return scm_make_complex (-SCM_COMPLEX_REAL (x), -SCM_COMPLEX_IMAG (x)); | |
3408 | } else { | |
3409 | SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference); | |
f872b822 | 3410 | } |
98cb6e75 DH |
3411 | } |
3412 | ||
3413 | if (SCM_INUMP (x)) { | |
3414 | long int xx = SCM_INUM (x); | |
3415 | if (SCM_INUMP (y)) { | |
3416 | long int yy = SCM_INUM (y); | |
3417 | long int z = xx - yy; | |
3418 | if (SCM_FIXABLE (z)) { | |
3419 | return SCM_MAKINUM (z); | |
3420 | } else { | |
f872b822 | 3421 | #ifdef SCM_BIGDIG |
98cb6e75 | 3422 | return scm_long2big (z); |
f872b822 | 3423 | #else |
98cb6e75 | 3424 | return scm_make_real ((double) z); |
f872b822 | 3425 | #endif |
98cb6e75 DH |
3426 | } |
3427 | } else if (SCM_BIGP (y)) { | |
3428 | #ifndef SCM_DIGSTOOBIG | |
3429 | long z = scm_pseudolong (xx); | |
3430 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3431 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG); | |
f872b822 | 3432 | #else |
98cb6e75 DH |
3433 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
3434 | scm_longdigs (xx, zdigs); | |
3435 | return scm_addbig (zdigs, SCM_DIGSPERLONG, | |
3436 | (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG); | |
f872b822 | 3437 | #endif |
98cb6e75 DH |
3438 | } else if (SCM_REALP (y)) { |
3439 | return scm_make_real (xx - SCM_REAL_VALUE (y)); | |
3440 | } else if (SCM_COMPLEXP (y)) { | |
3441 | return scm_make_complex (xx - SCM_COMPLEX_REAL (y), | |
3442 | -SCM_COMPLEX_IMAG (y)); | |
3443 | } else { | |
3444 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
f872b822 | 3445 | } |
98cb6e75 DH |
3446 | } else if (SCM_BIGP (x)) { |
3447 | if (SCM_INUMP (y)) { | |
3448 | long int yy = SCM_INUM (y); | |
3449 | #ifndef SCM_DIGSTOOBIG | |
3450 | long z = scm_pseudolong (yy); | |
3451 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3452 | (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0); | |
f872b822 | 3453 | #else |
98cb6e75 DH |
3454 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
3455 | scm_longdigs (yy, zdigs); | |
3456 | return scm_addbig (zdigs, SCM_DIGSPERLONG, | |
3457 | (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0); | |
0f2d19dd | 3458 | #endif |
98cb6e75 DH |
3459 | } else if (SCM_BIGP (y)) { |
3460 | return (SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3461 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3462 | SCM_BIGSIGN (x), y, SCM_BIGSIGNFLAG) | |
3463 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3464 | SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, x, 0); | |
3465 | } else if (SCM_REALP (y)) { | |
3466 | return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y)); | |
3467 | } else if (SCM_COMPLEXP (y)) { | |
3468 | return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y), | |
3469 | - SCM_COMPLEX_IMAG (y)); | |
3470 | } else { | |
3471 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
3472 | } | |
3473 | } else if (SCM_REALP (x)) { | |
3474 | if (SCM_INUMP (y)) { | |
3475 | return scm_make_real (SCM_REAL_VALUE (x) - SCM_INUM (y)); | |
3476 | } else if (SCM_BIGP (y)) { | |
3477 | return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y)); | |
3478 | } else if (SCM_REALP (y)) { | |
3479 | return scm_make_real (SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y)); | |
3480 | } else if (SCM_COMPLEXP (y)) { | |
3481 | return scm_make_complex (SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y), | |
3482 | -SCM_COMPLEX_IMAG (y)); | |
3483 | } else { | |
3484 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
3485 | } | |
3486 | } else if (SCM_COMPLEXP (x)) { | |
3487 | if (SCM_INUMP (y)) { | |
3488 | return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_INUM (y), | |
3489 | SCM_COMPLEX_IMAG (x)); | |
3490 | } else if (SCM_BIGP (y)) { | |
3491 | return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y), | |
3492 | SCM_COMPLEX_IMAG (x)); | |
3493 | } else if (SCM_REALP (y)) { | |
3494 | return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y), | |
3495 | SCM_COMPLEX_IMAG (x)); | |
3496 | } else if (SCM_COMPLEXP (y)) { | |
3497 | return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y), | |
3498 | SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y)); | |
3499 | } else { | |
3500 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); | |
3501 | } | |
3502 | } else { | |
3503 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference); | |
3504 | } | |
0f2d19dd JB |
3505 | } |
3506 | ||
3507 | ||
9de33deb | 3508 | SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product); |
1cc91f1b | 3509 | |
0f2d19dd | 3510 | SCM |
6e8d25a6 | 3511 | scm_product (SCM x, SCM y) |
0f2d19dd | 3512 | { |
f4c627b3 DH |
3513 | if (SCM_UNBNDP (y)) { |
3514 | if (SCM_UNBNDP (x)) { | |
3515 | return SCM_MAKINUM (1L); | |
3516 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3517 | return x; |
f4c627b3 DH |
3518 | } else { |
3519 | SCM_WTA_DISPATCH_1 (g_product, x, SCM_ARG1, s_product); | |
f872b822 | 3520 | } |
f4c627b3 DH |
3521 | } |
3522 | ||
3523 | if (SCM_INUMP (x)) { | |
3524 | long xx; | |
3525 | ||
3526 | intbig: | |
3527 | xx = SCM_INUM (x); | |
3528 | ||
3529 | if (xx == 0) { | |
f872b822 | 3530 | return x; |
f4c627b3 DH |
3531 | } else if (xx == 1) { |
3532 | return y; | |
3533 | } | |
3534 | ||
3535 | if (SCM_INUMP (y)) { | |
3536 | long yy = SCM_INUM (y); | |
3537 | long kk = xx * yy; | |
3538 | SCM k = SCM_MAKINUM (kk); | |
3539 | if (kk != SCM_INUM (k) || kk / xx != yy) { | |
f872b822 | 3540 | #ifdef SCM_BIGDIG |
f4c627b3 | 3541 | int sgn = (xx < 0) ^ (yy < 0); |
f872b822 | 3542 | #ifndef SCM_DIGSTOOBIG |
f4c627b3 DH |
3543 | long i = scm_pseudolong (xx); |
3544 | long j = scm_pseudolong (yy); | |
f872b822 MD |
3545 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, |
3546 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
3547 | #else /* SCM_DIGSTOOBIG */ | |
f4c627b3 DH |
3548 | SCM_BIGDIG xdigs [SCM_DIGSPERLONG]; |
3549 | SCM_BIGDIG ydigs [SCM_DIGSPERLONG]; | |
3550 | scm_longdigs (xx, xdigs); | |
3551 | scm_longdigs (yy, ydigs); | |
3552 | return scm_mulbig (xdigs, SCM_DIGSPERLONG, | |
3553 | ydigs, SCM_DIGSPERLONG, | |
f872b822 MD |
3554 | sgn); |
3555 | #endif | |
f4c627b3 DH |
3556 | #else |
3557 | return scm_make_real (((double) xx) * ((double) yy)); | |
3558 | #endif | |
3559 | } else { | |
3560 | return k; | |
0f2d19dd | 3561 | } |
f4c627b3 DH |
3562 | } else if (SCM_BIGP (y)) { |
3563 | #ifndef SCM_DIGSTOOBIG | |
3564 | long z = scm_pseudolong (xx); | |
3565 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3566 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3567 | SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)); | |
0f2d19dd | 3568 | #else |
f4c627b3 DH |
3569 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
3570 | scm_longdigs (xx, zdigs); | |
3571 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3572 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3573 | SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)); | |
0f2d19dd | 3574 | #endif |
f4c627b3 DH |
3575 | } else if (SCM_REALP (y)) { |
3576 | return scm_make_real (xx * SCM_REAL_VALUE (y)); | |
3577 | } else if (SCM_COMPLEXP (y)) { | |
3578 | return scm_make_complex (xx * SCM_COMPLEX_REAL (y), | |
3579 | xx * SCM_COMPLEX_IMAG (y)); | |
3580 | } else { | |
3581 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3582 | } | |
3583 | } else if (SCM_BIGP (x)) { | |
3584 | if (SCM_INUMP (y)) { | |
3585 | SCM_SWAP (x, y); | |
3586 | goto intbig; | |
3587 | } else if (SCM_BIGP (y)) { | |
3588 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3589 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3590 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
3591 | } else if (SCM_REALP (y)) { | |
3592 | return scm_make_real (scm_big2dbl (x) * SCM_REAL_VALUE (y)); | |
3593 | } else if (SCM_COMPLEXP (y)) { | |
3594 | double z = scm_big2dbl (x); | |
3595 | return scm_make_complex (z * SCM_COMPLEX_REAL (y), | |
3596 | z * SCM_COMPLEX_IMAG (y)); | |
3597 | } else { | |
3598 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3599 | } | |
3600 | } else if (SCM_REALP (x)) { | |
3601 | if (SCM_INUMP (y)) { | |
3602 | return scm_make_real (SCM_INUM (y) * SCM_REAL_VALUE (x)); | |
3603 | } else if (SCM_BIGP (y)) { | |
3604 | return scm_make_real (scm_big2dbl (y) * SCM_REAL_VALUE (x)); | |
3605 | } else if (SCM_REALP (y)) { | |
3606 | return scm_make_real (SCM_REAL_VALUE (x) * SCM_REAL_VALUE (y)); | |
3607 | } else if (SCM_COMPLEXP (y)) { | |
3608 | return scm_make_complex (SCM_REAL_VALUE (x) * SCM_COMPLEX_REAL (y), | |
3609 | SCM_REAL_VALUE (x) * SCM_COMPLEX_IMAG (y)); | |
3610 | } else { | |
3611 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3612 | } | |
3613 | } else if (SCM_COMPLEXP (x)) { | |
3614 | if (SCM_INUMP (y)) { | |
3615 | return scm_make_complex (SCM_INUM (y) * SCM_COMPLEX_REAL (x), | |
3616 | SCM_INUM (y) * SCM_COMPLEX_IMAG (x)); | |
3617 | } else if (SCM_BIGP (y)) { | |
3618 | double z = scm_big2dbl (y); | |
3619 | return scm_make_complex (z * SCM_COMPLEX_REAL (x), | |
3620 | z * SCM_COMPLEX_IMAG (x)); | |
3621 | } else if (SCM_REALP (y)) { | |
3622 | return scm_make_complex (SCM_REAL_VALUE (y) * SCM_COMPLEX_REAL (x), | |
3623 | SCM_REAL_VALUE (y) * SCM_COMPLEX_IMAG (x)); | |
3624 | } else if (SCM_COMPLEXP (y)) { | |
3625 | return scm_make_complex (SCM_COMPLEX_REAL (x) * SCM_COMPLEX_REAL (y) | |
3626 | - SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_IMAG (y), | |
3627 | SCM_COMPLEX_REAL (x) * SCM_COMPLEX_IMAG (y) | |
3628 | + SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_REAL (y)); | |
3629 | } else { | |
3630 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3631 | } | |
3632 | } else { | |
3633 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product); | |
0f2d19dd JB |
3634 | } |
3635 | } | |
3636 | ||
3637 | ||
0f2d19dd | 3638 | double |
6e8d25a6 | 3639 | scm_num2dbl (SCM a, const char *why) |
f4c627b3 | 3640 | #define FUNC_NAME why |
0f2d19dd | 3641 | { |
f4c627b3 | 3642 | if (SCM_INUMP (a)) { |
0f2d19dd | 3643 | return (double) SCM_INUM (a); |
f4c627b3 DH |
3644 | } else if (SCM_BIGP (a)) { |
3645 | return scm_big2dbl (a); | |
3646 | } else if (SCM_REALP (a)) { | |
3647 | return (SCM_REAL_VALUE (a)); | |
3648 | } else { | |
3649 | SCM_WRONG_TYPE_ARG (SCM_ARGn, a); | |
3650 | } | |
0f2d19dd | 3651 | } |
f4c627b3 | 3652 | #undef FUNC_NAME |
0f2d19dd JB |
3653 | |
3654 | ||
9de33deb | 3655 | SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide); |
1cc91f1b | 3656 | |
0f2d19dd | 3657 | SCM |
6e8d25a6 | 3658 | scm_divide (SCM x, SCM y) |
0f2d19dd | 3659 | { |
f8de44c1 DH |
3660 | double a; |
3661 | ||
3662 | if (SCM_UNBNDP (y)) { | |
3663 | if (SCM_UNBNDP (x)) { | |
3664 | SCM_WTA_DISPATCH_0 (g_divide, x, SCM_ARG1, s_divide); | |
3665 | } else if (SCM_INUMP (x)) { | |
3666 | if (SCM_EQ_P (x, SCM_MAKINUM (1L)) || SCM_EQ_P (x, SCM_MAKINUM (-1L))) { | |
3667 | return x; | |
3668 | } else { | |
3669 | return scm_make_real (1.0 / (double) SCM_INUM (x)); | |
3670 | } | |
f8de44c1 DH |
3671 | } else if (SCM_BIGP (x)) { |
3672 | return scm_make_real (1.0 / scm_big2dbl (x)); | |
f8de44c1 DH |
3673 | } else if (SCM_REALP (x)) { |
3674 | return scm_make_real (1.0 / SCM_REAL_VALUE (x)); | |
3675 | } else if (SCM_COMPLEXP (x)) { | |
3676 | double r = SCM_COMPLEX_REAL (x); | |
3677 | double i = SCM_COMPLEX_IMAG (x); | |
3678 | double d = r * r + i * i; | |
3679 | return scm_make_complex (r / d, -i / d); | |
3680 | } else { | |
3681 | SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide); | |
3682 | } | |
3683 | } | |
3684 | ||
3685 | if (SCM_INUMP (x)) { | |
3686 | long xx = SCM_INUM (x); | |
3687 | if (SCM_INUMP (y)) { | |
3688 | long yy = SCM_INUM (y); | |
3689 | if (yy == 0) { | |
f4c627b3 | 3690 | scm_num_overflow (s_divide); |
f8de44c1 DH |
3691 | } else if (xx % yy != 0) { |
3692 | return scm_make_real ((double) xx / (double) yy); | |
3693 | } else { | |
3694 | long z = xx / yy; | |
3695 | if (SCM_FIXABLE (z)) { | |
3696 | return SCM_MAKINUM (z); | |
3697 | } else { | |
f872b822 | 3698 | #ifdef SCM_BIGDIG |
f8de44c1 | 3699 | return scm_long2big (z); |
f872b822 | 3700 | #else |
f8de44c1 | 3701 | return scm_make_real ((double) xx / (double) yy); |
f872b822 | 3702 | #endif |
f872b822 | 3703 | } |
f8de44c1 | 3704 | } |
f8de44c1 DH |
3705 | } else if (SCM_BIGP (y)) { |
3706 | return scm_make_real ((double) xx / scm_big2dbl (y)); | |
f8de44c1 DH |
3707 | } else if (SCM_REALP (y)) { |
3708 | return scm_make_real ((double) xx / SCM_REAL_VALUE (y)); | |
3709 | } else if (SCM_COMPLEXP (y)) { | |
3710 | a = xx; | |
3711 | complex_div: /* y _must_ be a complex number */ | |
3712 | { | |
3713 | double r = SCM_COMPLEX_REAL (y); | |
3714 | double i = SCM_COMPLEX_IMAG (y); | |
3715 | double d = r * r + i * i; | |
3716 | return scm_make_complex ((a * r) / d, (-a * i) / d); | |
3717 | } | |
3718 | } else { | |
3719 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
3720 | } | |
f8de44c1 DH |
3721 | } else if (SCM_BIGP (x)) { |
3722 | if (SCM_INUMP (y)) { | |
3723 | long int yy = SCM_INUM (y); | |
3724 | if (yy == 0) { | |
3725 | scm_num_overflow (s_divide); | |
3726 | } else if (yy == 1) { | |
3727 | return x; | |
3728 | } else { | |
3729 | long z = yy < 0 ? -yy : yy; | |
3730 | if (z < SCM_BIGRAD) { | |
3731 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)); | |
3732 | return scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
3733 | (SCM_BIGDIG) z) | |
3734 | ? scm_make_real (scm_big2dbl (x) / (double) yy) | |
3735 | : scm_normbig (w); | |
3736 | } else { | |
3737 | SCM w; | |
3738 | #ifndef SCM_DIGSTOOBIG | |
3739 | z = scm_pseudolong (z); | |
3740 | w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3741 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3742 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3); | |
f872b822 | 3743 | #else |
f8de44c1 DH |
3744 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3745 | scm_longdigs (z, zdigs); | |
3746 | w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3747 | zdigs, SCM_DIGSPERLONG, | |
3748 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3); | |
f872b822 | 3749 | #endif |
f4c627b3 DH |
3750 | return (!SCM_UNBNDP (w)) |
3751 | ? w | |
3752 | : scm_make_real (scm_big2dbl (x) / (double) yy); | |
f872b822 | 3753 | } |
f8de44c1 DH |
3754 | } |
3755 | } else if (SCM_BIGP (y)) { | |
3756 | SCM w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3757 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3758 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
f4c627b3 DH |
3759 | return (!SCM_UNBNDP (w)) |
3760 | ? w | |
3761 | : scm_make_real (scm_big2dbl (x) / scm_big2dbl (y)); | |
f8de44c1 DH |
3762 | } else if (SCM_REALP (y)) { |
3763 | return scm_make_real (scm_big2dbl (x) / SCM_REAL_VALUE (y)); | |
3764 | } else if (SCM_COMPLEXP (y)) { | |
3765 | a = scm_big2dbl (x); | |
3766 | goto complex_div; | |
3767 | } else { | |
3768 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
f872b822 | 3769 | } |
f8de44c1 DH |
3770 | } else if (SCM_REALP (x)) { |
3771 | double rx = SCM_REAL_VALUE (x); | |
3772 | if (SCM_INUMP (y)) { | |
3773 | return scm_make_real (rx / (double) SCM_INUM (y)); | |
f8de44c1 DH |
3774 | } else if (SCM_BIGP (y)) { |
3775 | return scm_make_real (rx / scm_big2dbl (y)); | |
f8de44c1 DH |
3776 | } else if (SCM_REALP (y)) { |
3777 | return scm_make_real (rx / SCM_REAL_VALUE (y)); | |
3778 | } else if (SCM_COMPLEXP (y)) { | |
3779 | a = rx; | |
3780 | goto complex_div; | |
3781 | } else { | |
3782 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
f872b822 | 3783 | } |
f8de44c1 DH |
3784 | } else if (SCM_COMPLEXP (x)) { |
3785 | double rx = SCM_COMPLEX_REAL (x); | |
3786 | double ix = SCM_COMPLEX_IMAG (x); | |
3787 | if (SCM_INUMP (y)) { | |
3788 | double d = SCM_INUM (y); | |
3789 | return scm_make_complex (rx / d, ix / d); | |
f8de44c1 DH |
3790 | } else if (SCM_BIGP (y)) { |
3791 | double d = scm_big2dbl (y); | |
3792 | return scm_make_complex (rx / d, ix / d); | |
f8de44c1 DH |
3793 | } else if (SCM_REALP (y)) { |
3794 | double d = SCM_REAL_VALUE (y); | |
3795 | return scm_make_complex (rx / d, ix / d); | |
3796 | } else if (SCM_COMPLEXP (y)) { | |
3797 | double ry = SCM_COMPLEX_REAL (y); | |
3798 | double iy = SCM_COMPLEX_IMAG (y); | |
3799 | double d = ry * ry + iy * iy; | |
3800 | return scm_make_complex ((rx * ry + ix * iy) / d, | |
3801 | (ix * ry - rx * iy) / d); | |
3802 | } else { | |
3803 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
3804 | } | |
3805 | } else { | |
3806 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide); | |
0f2d19dd JB |
3807 | } |
3808 | } | |
3809 | ||
3810 | ||
9de33deb | 3811 | SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh); |
1cc91f1b | 3812 | |
0f2d19dd | 3813 | double |
6e8d25a6 | 3814 | scm_asinh (double x) |
0f2d19dd | 3815 | { |
f872b822 | 3816 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
3817 | } |
3818 | ||
3819 | ||
3820 | ||
3821 | ||
9de33deb | 3822 | SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh); |
1cc91f1b | 3823 | |
0f2d19dd | 3824 | double |
6e8d25a6 | 3825 | scm_acosh (double x) |
0f2d19dd | 3826 | { |
f872b822 | 3827 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
3828 | } |
3829 | ||
3830 | ||
3831 | ||
3832 | ||
9de33deb | 3833 | SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh); |
1cc91f1b | 3834 | |
0f2d19dd | 3835 | double |
6e8d25a6 | 3836 | scm_atanh (double x) |
0f2d19dd | 3837 | { |
f872b822 | 3838 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
3839 | } |
3840 | ||
3841 | ||
3842 | ||
3843 | ||
9de33deb | 3844 | SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate); |
1cc91f1b | 3845 | |
0f2d19dd | 3846 | double |
6e8d25a6 | 3847 | scm_truncate (double x) |
0f2d19dd | 3848 | { |
f872b822 MD |
3849 | if (x < 0.0) |
3850 | return -floor (-x); | |
3851 | return floor (x); | |
0f2d19dd JB |
3852 | } |
3853 | ||
3854 | ||
3855 | ||
9de33deb | 3856 | SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round); |
1cc91f1b | 3857 | |
0f2d19dd | 3858 | double |
6e8d25a6 | 3859 | scm_round (double x) |
0f2d19dd JB |
3860 | { |
3861 | double plus_half = x + 0.5; | |
f872b822 | 3862 | double result = floor (plus_half); |
0f2d19dd | 3863 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 3864 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
3865 | ? result - 1 : result; |
3866 | } | |
3867 | ||
3868 | ||
3869 | ||
9de33deb | 3870 | SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact); |
1cc91f1b | 3871 | |
0f2d19dd | 3872 | double |
6e8d25a6 | 3873 | scm_exact_to_inexact (double z) |
0f2d19dd JB |
3874 | { |
3875 | return z; | |
3876 | } | |
3877 | ||
3878 | ||
9de33deb MD |
3879 | SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor); |
3880 | SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil); | |
3881 | SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt); | |
3882 | SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs); | |
3883 | SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp); | |
3884 | SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log); | |
3885 | SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin); | |
3886 | SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos); | |
3887 | SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan); | |
3888 | SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin); | |
3889 | SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos); | |
3890 | SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan); | |
3891 | SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh); | |
3892 | SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh); | |
3893 | SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh); | |
f872b822 MD |
3894 | |
3895 | struct dpair | |
3896 | { | |
3897 | double x, y; | |
3898 | }; | |
3899 | ||
3eeba8d4 JB |
3900 | static void scm_two_doubles (SCM z1, |
3901 | SCM z2, | |
3902 | const char *sstring, | |
3903 | struct dpair * xy); | |
f872b822 MD |
3904 | |
3905 | static void | |
6e8d25a6 | 3906 | scm_two_doubles (SCM z1, SCM z2, const char *sstring, struct dpair *xy) |
0f2d19dd | 3907 | { |
98cb6e75 | 3908 | if (SCM_INUMP (z1)) { |
f872b822 | 3909 | xy->x = SCM_INUM (z1); |
98cb6e75 DH |
3910 | } else if (SCM_BIGP (z1)) { |
3911 | xy->x = scm_big2dbl (z1); | |
3912 | } else if (SCM_REALP (z1)) { | |
3913 | xy->x = SCM_REAL_VALUE (z1); | |
3914 | } else { | |
3915 | scm_wrong_type_arg (sstring, SCM_ARG1, z1); | |
3916 | } | |
3917 | ||
3918 | if (SCM_INUMP (z2)) { | |
f872b822 | 3919 | xy->y = SCM_INUM (z2); |
98cb6e75 DH |
3920 | } else if (SCM_BIGP (z2)) { |
3921 | xy->y = scm_big2dbl (z2); | |
3922 | } else if (SCM_REALP (z2)) { | |
3923 | xy->y = SCM_REAL_VALUE (z2); | |
3924 | } else { | |
3925 | scm_wrong_type_arg (sstring, SCM_ARG2, z2); | |
3926 | } | |
0f2d19dd JB |
3927 | } |
3928 | ||
3929 | ||
a1ec6916 | 3930 | SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0, |
1bbd0b84 | 3931 | (SCM z1, SCM z2), |
bb628794 | 3932 | "") |
1bbd0b84 | 3933 | #define FUNC_NAME s_scm_sys_expt |
0f2d19dd JB |
3934 | { |
3935 | struct dpair xy; | |
1bbd0b84 | 3936 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f8de44c1 | 3937 | return scm_make_real (pow (xy.x, xy.y)); |
0f2d19dd | 3938 | } |
1bbd0b84 | 3939 | #undef FUNC_NAME |
0f2d19dd JB |
3940 | |
3941 | ||
a1ec6916 | 3942 | SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0, |
1bbd0b84 | 3943 | (SCM z1, SCM z2), |
b380b885 | 3944 | "") |
1bbd0b84 | 3945 | #define FUNC_NAME s_scm_sys_atan2 |
0f2d19dd JB |
3946 | { |
3947 | struct dpair xy; | |
1bbd0b84 | 3948 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f8de44c1 | 3949 | return scm_make_real (atan2 (xy.x, xy.y)); |
0f2d19dd | 3950 | } |
1bbd0b84 | 3951 | #undef FUNC_NAME |
0f2d19dd JB |
3952 | |
3953 | ||
a1ec6916 | 3954 | SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0, |
bb628794 DH |
3955 | (SCM real, SCM imaginary), |
3956 | "Return a complex number constructed of the given REAL and\n" | |
3957 | "IMAGINARY parts.") | |
1bbd0b84 | 3958 | #define FUNC_NAME s_scm_make_rectangular |
0f2d19dd JB |
3959 | { |
3960 | struct dpair xy; | |
bb628794 | 3961 | scm_two_doubles (real, imaginary, FUNC_NAME, &xy); |
f8de44c1 | 3962 | return scm_make_complex (xy.x, xy.y); |
0f2d19dd | 3963 | } |
1bbd0b84 | 3964 | #undef FUNC_NAME |
0f2d19dd JB |
3965 | |
3966 | ||
3967 | ||
a1ec6916 | 3968 | SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0, |
1bbd0b84 | 3969 | (SCM z1, SCM z2), |
bb628794 | 3970 | "Return the complex number Z1 * e^(i * Z2).") |
1bbd0b84 | 3971 | #define FUNC_NAME s_scm_make_polar |
0f2d19dd JB |
3972 | { |
3973 | struct dpair xy; | |
1bbd0b84 | 3974 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f8de44c1 | 3975 | return scm_make_complex (xy.x * cos (xy.y), xy.x * sin (xy.y)); |
0f2d19dd | 3976 | } |
1bbd0b84 | 3977 | #undef FUNC_NAME |
0f2d19dd JB |
3978 | |
3979 | ||
152f82bf | 3980 | SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part); |
1cc91f1b | 3981 | |
0f2d19dd | 3982 | SCM |
6e8d25a6 | 3983 | scm_real_part (SCM z) |
0f2d19dd | 3984 | { |
c2ff8ab0 DH |
3985 | if (SCM_INUMP (z)) { |
3986 | return z; | |
3987 | } else if (SCM_BIGP (z)) { | |
3988 | return z; | |
3989 | } else if (SCM_REALP (z)) { | |
3990 | return z; | |
3991 | } else if (SCM_COMPLEXP (z)) { | |
3992 | return scm_make_real (SCM_COMPLEX_REAL (z)); | |
3993 | } else { | |
3994 | SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part); | |
3995 | } | |
0f2d19dd JB |
3996 | } |
3997 | ||
3998 | ||
152f82bf | 3999 | SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part); |
1cc91f1b | 4000 | |
0f2d19dd | 4001 | SCM |
6e8d25a6 | 4002 | scm_imag_part (SCM z) |
0f2d19dd | 4003 | { |
c2ff8ab0 | 4004 | if (SCM_INUMP (z)) { |
f872b822 | 4005 | return SCM_INUM0; |
c2ff8ab0 | 4006 | } else if (SCM_BIGP (z)) { |
f872b822 | 4007 | return SCM_INUM0; |
c2ff8ab0 DH |
4008 | } else if (SCM_REALP (z)) { |
4009 | return scm_flo0; | |
4010 | } else if (SCM_COMPLEXP (z)) { | |
4011 | return scm_make_real (SCM_COMPLEX_IMAG (z)); | |
4012 | } else { | |
4013 | SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part); | |
4014 | } | |
0f2d19dd JB |
4015 | } |
4016 | ||
4017 | ||
9de33deb | 4018 | SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude); |
1cc91f1b | 4019 | |
0f2d19dd | 4020 | SCM |
6e8d25a6 | 4021 | scm_magnitude (SCM z) |
0f2d19dd | 4022 | { |
c2ff8ab0 | 4023 | if (SCM_INUMP (z)) { |
5986c47d DH |
4024 | long int zz = SCM_INUM (z); |
4025 | if (zz >= 0) { | |
4026 | return z; | |
4027 | } else if (SCM_POSFIXABLE (-zz)) { | |
4028 | return SCM_MAKINUM (-zz); | |
4029 | } else { | |
4030 | #ifdef SCM_BIGDIG | |
4031 | return scm_long2big (-zz); | |
4032 | #else | |
4033 | scm_num_overflow (s_magnitude); | |
4034 | #endif | |
4035 | } | |
c2ff8ab0 | 4036 | } else if (SCM_BIGP (z)) { |
5986c47d DH |
4037 | if (!SCM_BIGSIGN (z)) { |
4038 | return z; | |
4039 | } else { | |
4040 | return scm_copybig (z, 0); | |
4041 | } | |
c2ff8ab0 DH |
4042 | } else if (SCM_REALP (z)) { |
4043 | return scm_make_real (fabs (SCM_REAL_VALUE (z))); | |
4044 | } else if (SCM_COMPLEXP (z)) { | |
4045 | double r = SCM_COMPLEX_REAL (z); | |
4046 | double i = SCM_COMPLEX_IMAG (z); | |
4047 | return scm_make_real (sqrt (i * i + r * r)); | |
4048 | } else { | |
4049 | SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude); | |
4050 | } | |
0f2d19dd JB |
4051 | } |
4052 | ||
4053 | ||
9de33deb | 4054 | SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle); |
1cc91f1b | 4055 | |
0f2d19dd | 4056 | SCM |
6e8d25a6 | 4057 | scm_angle (SCM z) |
0f2d19dd | 4058 | { |
f4c627b3 DH |
4059 | if (SCM_INUMP (z)) { |
4060 | if (SCM_INUM (z) >= 0) { | |
4061 | return scm_make_real (atan2 (0.0, 1.0)); | |
4062 | } else { | |
4063 | return scm_make_real (atan2 (0.0, -1.0)); | |
f872b822 | 4064 | } |
f4c627b3 DH |
4065 | } else if (SCM_BIGP (z)) { |
4066 | if (SCM_BIGSIGN (z)) { | |
4067 | return scm_make_real (atan2 (0.0, -1.0)); | |
4068 | } else { | |
4069 | return scm_make_real (atan2 (0.0, 1.0)); | |
0f2d19dd | 4070 | } |
f4c627b3 DH |
4071 | } else if (SCM_REALP (z)) { |
4072 | return scm_make_real (atan2 (0.0, SCM_REAL_VALUE (z))); | |
4073 | } else if (SCM_COMPLEXP (z)) { | |
4074 | return scm_make_real (atan2 (SCM_COMPLEX_IMAG (z), SCM_COMPLEX_REAL (z))); | |
4075 | } else { | |
4076 | SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle); | |
4077 | } | |
0f2d19dd JB |
4078 | } |
4079 | ||
4080 | ||
a1ec6916 | 4081 | SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0, |
1bbd0b84 | 4082 | (SCM z), |
bb628794 | 4083 | "Returns an exact number that is numerically closest to Z.") |
1bbd0b84 | 4084 | #define FUNC_NAME s_scm_inexact_to_exact |
0f2d19dd | 4085 | { |
c2ff8ab0 | 4086 | if (SCM_INUMP (z)) { |
f872b822 | 4087 | return z; |
c2ff8ab0 | 4088 | } else if (SCM_BIGP (z)) { |
f872b822 | 4089 | return z; |
c2ff8ab0 DH |
4090 | } else if (SCM_REALP (z)) { |
4091 | double u = floor (SCM_REAL_VALUE (z) + 0.5); | |
4092 | long lu = (long) u; | |
4093 | if (SCM_FIXABLE (lu)) { | |
4094 | return SCM_MAKINUM (lu); | |
f872b822 | 4095 | #ifdef SCM_BIGDIG |
c2ff8ab0 DH |
4096 | } else if (isfinite (u)) { |
4097 | return scm_dbl2big (u); | |
f872b822 | 4098 | #endif |
c2ff8ab0 DH |
4099 | } else { |
4100 | scm_num_overflow (s_scm_inexact_to_exact); | |
4101 | } | |
4102 | } else { | |
4103 | SCM_WRONG_TYPE_ARG (1, z); | |
4104 | } | |
0f2d19dd | 4105 | } |
1bbd0b84 | 4106 | #undef FUNC_NAME |
0f2d19dd JB |
4107 | |
4108 | ||
0f2d19dd | 4109 | #ifdef SCM_BIGDIG |
0f2d19dd | 4110 | /* d must be integer */ |
1cc91f1b | 4111 | |
0f2d19dd | 4112 | SCM |
6e8d25a6 | 4113 | scm_dbl2big (double d) |
0f2d19dd JB |
4114 | { |
4115 | scm_sizet i = 0; | |
4116 | long c; | |
4117 | SCM_BIGDIG *digits; | |
4118 | SCM ans; | |
f872b822 MD |
4119 | double u = (d < 0) ? -d : d; |
4120 | while (0 != floor (u)) | |
4121 | { | |
4122 | u /= SCM_BIGRAD; | |
4123 | i++; | |
4124 | } | |
4125 | ans = scm_mkbig (i, d < 0); | |
4126 | digits = SCM_BDIGITS (ans); | |
4127 | while (i--) | |
4128 | { | |
4129 | u *= SCM_BIGRAD; | |
4130 | c = floor (u); | |
4131 | u -= c; | |
4132 | digits[i] = c; | |
4133 | } | |
cf7c17e9 | 4134 | #ifndef SCM_RECKLESS |
e1724d20 | 4135 | if (u != 0) |
52859adf | 4136 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4137 | #endif |
0f2d19dd JB |
4138 | return ans; |
4139 | } | |
4140 | ||
4141 | ||
4142 | ||
0f2d19dd | 4143 | double |
6e8d25a6 | 4144 | scm_big2dbl (SCM b) |
0f2d19dd JB |
4145 | { |
4146 | double ans = 0.0; | |
f872b822 MD |
4147 | scm_sizet i = SCM_NUMDIGS (b); |
4148 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4149 | while (i--) | |
4150 | ans = digits[i] + SCM_BIGRAD * ans; | |
f3ae5d60 MD |
4151 | if (SCM_BIGSIGN (b)) |
4152 | return - ans; | |
0f2d19dd JB |
4153 | return ans; |
4154 | } | |
f872b822 | 4155 | #endif |
0f2d19dd | 4156 | |
1cc91f1b | 4157 | |
0f2d19dd | 4158 | SCM |
6e8d25a6 | 4159 | scm_long2num (long sl) |
0f2d19dd | 4160 | { |
f872b822 MD |
4161 | if (!SCM_FIXABLE (sl)) |
4162 | { | |
0f2d19dd | 4163 | #ifdef SCM_BIGDIG |
f872b822 | 4164 | return scm_long2big (sl); |
0f2d19dd | 4165 | #else |
f8de44c1 | 4166 | return scm_make_real ((double) sl); |
f872b822 MD |
4167 | #endif |
4168 | } | |
4169 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4170 | } |
4171 | ||
4172 | ||
5c11cc9d | 4173 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4174 | |
0f2d19dd | 4175 | SCM |
6e8d25a6 | 4176 | scm_long_long2num (long_long sl) |
0f2d19dd | 4177 | { |
f872b822 MD |
4178 | if (!SCM_FIXABLE (sl)) |
4179 | { | |
0f2d19dd | 4180 | #ifdef SCM_BIGDIG |
f872b822 | 4181 | return scm_long_long2big (sl); |
0f2d19dd | 4182 | #else |
f8de44c1 | 4183 | return scm_make_real ((double) sl); |
f872b822 MD |
4184 | #endif |
4185 | } | |
f2961ccd DH |
4186 | else |
4187 | { | |
4188 | /* we know that sl fits into an inum */ | |
4189 | return SCM_MAKINUM ((scm_bits_t) sl); | |
4190 | } | |
0f2d19dd | 4191 | } |
0f2d19dd | 4192 | |
f69a01b2 | 4193 | #endif /* HAVE_LONG_LONGS */ |
0f2d19dd | 4194 | |
1cc91f1b | 4195 | |
0f2d19dd | 4196 | SCM |
6e8d25a6 | 4197 | scm_ulong2num (unsigned long sl) |
0f2d19dd | 4198 | { |
f872b822 MD |
4199 | if (!SCM_POSFIXABLE (sl)) |
4200 | { | |
0f2d19dd | 4201 | #ifdef SCM_BIGDIG |
f872b822 | 4202 | return scm_ulong2big (sl); |
0f2d19dd | 4203 | #else |
f8de44c1 | 4204 | return scm_make_real ((double) sl); |
f872b822 MD |
4205 | #endif |
4206 | } | |
4207 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4208 | } |
4209 | ||
1cc91f1b | 4210 | |
0f2d19dd | 4211 | long |
6e8d25a6 | 4212 | scm_num2long (SCM num, char *pos, const char *s_caller) |
0f2d19dd | 4213 | { |
98cb6e75 DH |
4214 | if (SCM_INUMP (num)) { |
4215 | return SCM_INUM (num); | |
4216 | } else if (SCM_BIGP (num)) { | |
4217 | long int res; | |
4218 | /* can't use res directly in case num is -2^31. */ | |
4219 | unsigned long int pos_res = 0; | |
4220 | unsigned long int old_res = 0; | |
4221 | scm_sizet l; | |
4222 | ||
4223 | for (l = SCM_NUMDIGS (num); l--;) { | |
4224 | pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4225 | if (pos_res >= old_res) { | |
4226 | old_res = pos_res; | |
4227 | } else { | |
4228 | /* overflow. */ | |
4229 | scm_out_of_range (s_caller, num); | |
4230 | } | |
0f2d19dd | 4231 | } |
98cb6e75 DH |
4232 | if (SCM_BIGSIGN (num)) { |
4233 | res = -pos_res; | |
4234 | if (res <= 0) { | |
4235 | return res; | |
4236 | } else { | |
4237 | scm_out_of_range (s_caller, num); | |
4238 | } | |
4239 | } else { | |
4240 | res = pos_res; | |
4241 | if (res >= 0) { | |
4242 | return res; | |
4243 | } else { | |
4244 | scm_out_of_range (s_caller, num); | |
4245 | } | |
0f2d19dd | 4246 | } |
98cb6e75 DH |
4247 | } else if (SCM_REALP (num)) { |
4248 | double u = SCM_REAL_VALUE (num); | |
4249 | long int res = u; | |
4250 | if ((double) res == u) { | |
5c11cc9d | 4251 | return res; |
98cb6e75 DH |
4252 | } else { |
4253 | scm_out_of_range (s_caller, num); | |
f872b822 | 4254 | } |
98cb6e75 DH |
4255 | } else { |
4256 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4257 | } | |
0f2d19dd JB |
4258 | } |
4259 | ||
4260 | ||
5c11cc9d | 4261 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4262 | |
0f2d19dd | 4263 | long_long |
6e8d25a6 | 4264 | scm_num2long_long (SCM num, char *pos, const char *s_caller) |
0f2d19dd | 4265 | { |
98cb6e75 DH |
4266 | if (SCM_INUMP (num)) { |
4267 | return SCM_INUM (num); | |
4268 | } else if (SCM_BIGP (num)) { | |
4269 | long long res; | |
4270 | /* can't use res directly in case num is -2^63. */ | |
4271 | unsigned long long int pos_res = 0; | |
4272 | unsigned long long int old_res = 0; | |
4273 | scm_sizet l; | |
4274 | ||
4275 | for (l = SCM_NUMDIGS (num); l--;) { | |
4276 | pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4277 | if (pos_res >= old_res) { | |
4278 | old_res = pos_res; | |
4279 | } else { | |
4280 | /* overflow. */ | |
4281 | scm_out_of_range (s_caller, num); | |
4282 | } | |
0f2d19dd | 4283 | } |
98cb6e75 DH |
4284 | if (SCM_BIGSIGN (num)) { |
4285 | res = -pos_res; | |
4286 | if (res <= 0) { | |
4287 | return res; | |
4288 | } else { | |
4289 | scm_out_of_range (s_caller, num); | |
4290 | } | |
4291 | } else { | |
4292 | res = pos_res; | |
4293 | if (res >= 0) { | |
4294 | return res; | |
4295 | } else { | |
4296 | scm_out_of_range (s_caller, num); | |
4297 | } | |
f872b822 | 4298 | } |
98cb6e75 DH |
4299 | } else if (SCM_REALP (num)) { |
4300 | double u = SCM_REAL_VALUE (num); | |
4301 | long long int res = u; | |
4302 | if ((double) res == u) { | |
f872b822 | 4303 | return res; |
98cb6e75 DH |
4304 | } else { |
4305 | scm_out_of_range (s_caller, num); | |
f872b822 | 4306 | } |
98cb6e75 DH |
4307 | } else { |
4308 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4309 | } | |
0f2d19dd | 4310 | } |
0f2d19dd | 4311 | |
f69a01b2 | 4312 | #endif /* HAVE_LONG_LONGS */ |
0f2d19dd | 4313 | |
1cc91f1b | 4314 | |
0f2d19dd | 4315 | unsigned long |
6e8d25a6 | 4316 | scm_num2ulong (SCM num, char *pos, const char *s_caller) |
0f2d19dd | 4317 | { |
98cb6e75 DH |
4318 | if (SCM_INUMP (num)) { |
4319 | long nnum = SCM_INUM (num); | |
4320 | if (nnum >= 0) { | |
4321 | return nnum; | |
4322 | } else { | |
4323 | scm_out_of_range (s_caller, num); | |
4324 | } | |
4325 | } else if (SCM_BIGP (num)) { | |
4326 | unsigned long int res = 0; | |
4327 | unsigned long int old_res = 0; | |
4328 | scm_sizet l; | |
4329 | ||
4330 | for (l = SCM_NUMDIGS (num); l--;) { | |
4331 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4332 | if (res >= old_res) { | |
4333 | old_res = res; | |
4334 | } else { | |
4335 | scm_out_of_range (s_caller, num); | |
4336 | } | |
0f2d19dd | 4337 | } |
98cb6e75 DH |
4338 | return res; |
4339 | } else if (SCM_REALP (num)) { | |
4340 | double u = SCM_REAL_VALUE (num); | |
4341 | unsigned long int res = u; | |
4342 | if ((double) res == u) { | |
f872b822 | 4343 | return res; |
98cb6e75 DH |
4344 | } else { |
4345 | scm_out_of_range (s_caller, num); | |
f872b822 | 4346 | } |
98cb6e75 DH |
4347 | } else { |
4348 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4349 | } | |
0f2d19dd JB |
4350 | } |
4351 | ||
4352 | ||
0f2d19dd JB |
4353 | void |
4354 | scm_init_numbers () | |
0f2d19dd | 4355 | { |
f3ae5d60 MD |
4356 | scm_add_feature ("complex"); |
4357 | scm_add_feature ("inexact"); | |
5986c47d | 4358 | scm_flo0 = scm_make_real (0.0); |
f872b822 | 4359 | #ifdef DBL_DIG |
0f2d19dd | 4360 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 4361 | #else |
0f2d19dd JB |
4362 | { /* determine floating point precision */ |
4363 | double f = 0.1; | |
f872b822 | 4364 | double fsum = 1.0 + f; |
bb628794 DH |
4365 | while (fsum != 1.0) { |
4366 | if (++scm_dblprec > 20) { | |
4367 | fsum = 1.0; | |
4368 | } else { | |
f872b822 | 4369 | f /= 10.0; |
bb628794 | 4370 | fsum = f + 1.0; |
f872b822 | 4371 | } |
bb628794 | 4372 | } |
f872b822 | 4373 | scm_dblprec = scm_dblprec - 1; |
0f2d19dd | 4374 | } |
f872b822 | 4375 | #endif /* DBL_DIG */ |
8dc9439f | 4376 | #ifndef SCM_MAGIC_SNARFER |
a0599745 | 4377 | #include "libguile/numbers.x" |
8dc9439f | 4378 | #endif |
0f2d19dd | 4379 | } |
89e00824 ML |
4380 | |
4381 | /* | |
4382 | Local Variables: | |
4383 | c-file-style: "gnu" | |
4384 | End: | |
4385 | */ |