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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 MD |
49 | #include "libguile/_scm.h" |
50 | #include "libguile/unif.h" | |
51 | #include "libguile/feature.h" | |
52 | #include "libguile/ports.h" | |
53 | #include "libguile/root.h" | |
54 | #include "libguile/smob.h" | |
55 | #include "libguile/strings.h" | |
56 | #include "libguile/vectors.h" | |
57 | ||
58 | #include "libguile/validate.h" | |
59 | #include "libguile/numbers.h" | |
f4c627b3 | 60 | |
0f2d19dd | 61 | \f |
f4c627b3 DH |
62 | |
63 | static SCM scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes); | |
64 | static SCM scm_divbigint (SCM x, long z, int sgn, int mode); | |
65 | ||
66 | ||
0f2d19dd JB |
67 | #define DIGITS '0':case '1':case '2':case '3':case '4':\ |
68 | case '5':case '6':case '7':case '8':case '9' | |
69 | ||
70 | ||
09fb7599 DH |
71 | #define SCM_SWAP(x,y) do { SCM __t = x; x = y; y = __t; } while (0) |
72 | ||
73 | ||
0f2d19dd JB |
74 | /* IS_INF tests its floating point number for infiniteness |
75 | */ | |
76 | #ifndef IS_INF | |
f872b822 | 77 | #define IS_INF(x) ((x) == (x) / 2) |
0f2d19dd JB |
78 | #endif |
79 | ||
e6f3ef58 MD |
80 | /* Return true if X is not infinite and is not a NaN |
81 | */ | |
82 | #ifndef isfinite | |
83 | #define isfinite(x) (!IS_INF (x) && (x) == (x)) | |
84 | #endif | |
85 | ||
0f2d19dd JB |
86 | \f |
87 | ||
f872b822 | 88 | |
a1ec6916 | 89 | SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0, |
1bbd0b84 | 90 | (SCM x), |
4219f20d | 91 | "Return #t if X is an exact number, #f otherwise.") |
1bbd0b84 | 92 | #define FUNC_NAME s_scm_exact_p |
0f2d19dd | 93 | { |
4219f20d | 94 | if (SCM_INUMP (x)) { |
f872b822 | 95 | return SCM_BOOL_T; |
4219f20d | 96 | } else if (SCM_BIGP (x)) { |
f872b822 | 97 | return SCM_BOOL_T; |
4219f20d DH |
98 | } else { |
99 | return SCM_BOOL_F; | |
100 | } | |
0f2d19dd | 101 | } |
1bbd0b84 | 102 | #undef FUNC_NAME |
0f2d19dd | 103 | |
4219f20d | 104 | |
a1ec6916 | 105 | SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0, |
1bbd0b84 | 106 | (SCM n), |
4219f20d | 107 | "Return #t if N is an odd number, #f otherwise.") |
1bbd0b84 | 108 | #define FUNC_NAME s_scm_odd_p |
0f2d19dd | 109 | { |
4219f20d DH |
110 | if (SCM_INUMP (n)) { |
111 | return SCM_BOOL ((4 & SCM_UNPACK (n)) != 0); | |
4219f20d DH |
112 | } else if (SCM_BIGP (n)) { |
113 | return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) != 0); | |
4219f20d | 114 | } else { |
a1a33b0f | 115 | SCM_WRONG_TYPE_ARG (1, n); |
4219f20d | 116 | } |
0f2d19dd | 117 | } |
1bbd0b84 | 118 | #undef FUNC_NAME |
0f2d19dd | 119 | |
4219f20d | 120 | |
a1ec6916 | 121 | SCM_DEFINE (scm_even_p, "even?", 1, 0, 0, |
1bbd0b84 | 122 | (SCM n), |
4219f20d | 123 | "Return #t if N is an even number, #f otherwise.") |
1bbd0b84 | 124 | #define FUNC_NAME s_scm_even_p |
0f2d19dd | 125 | { |
4219f20d DH |
126 | if (SCM_INUMP (n)) { |
127 | return SCM_BOOL ((4 & SCM_UNPACK (n)) == 0); | |
4219f20d DH |
128 | } else if (SCM_BIGP (n)) { |
129 | return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) == 0); | |
4219f20d | 130 | } else { |
a1a33b0f | 131 | SCM_WRONG_TYPE_ARG (1, n); |
4219f20d | 132 | } |
0f2d19dd | 133 | } |
1bbd0b84 | 134 | #undef FUNC_NAME |
0f2d19dd | 135 | |
4219f20d | 136 | |
9de33deb | 137 | SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs); |
1cc91f1b | 138 | |
0f2d19dd | 139 | SCM |
6e8d25a6 | 140 | scm_abs (SCM x) |
0f2d19dd | 141 | { |
4219f20d DH |
142 | if (SCM_INUMP (x)) { |
143 | long int xx = SCM_INUM (x); | |
144 | if (xx >= 0) { | |
145 | return x; | |
146 | } else if (SCM_POSFIXABLE (-xx)) { | |
147 | return SCM_MAKINUM (-xx); | |
148 | } else { | |
0f2d19dd | 149 | #ifdef SCM_BIGDIG |
4219f20d | 150 | return scm_long2big (-xx); |
0f2d19dd | 151 | #else |
4219f20d | 152 | scm_num_overflow (s_abs); |
0f2d19dd | 153 | #endif |
4219f20d | 154 | } |
4219f20d DH |
155 | } else if (SCM_BIGP (x)) { |
156 | if (!SCM_BIGSIGN (x)) { | |
157 | return x; | |
158 | } else { | |
159 | return scm_copybig (x, 0); | |
160 | } | |
4219f20d DH |
161 | } else { |
162 | SCM_WTA_DISPATCH_1 (g_abs, x, 1, s_abs); | |
163 | } | |
0f2d19dd JB |
164 | } |
165 | ||
4219f20d | 166 | |
9de33deb | 167 | SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient); |
1cc91f1b | 168 | |
0f2d19dd | 169 | SCM |
6e8d25a6 | 170 | scm_quotient (SCM x, SCM y) |
0f2d19dd | 171 | { |
828865c3 DH |
172 | if (SCM_INUMP (x)) { |
173 | long xx = SCM_INUM (x); | |
174 | if (SCM_INUMP (y)) { | |
175 | long yy = SCM_INUM (y); | |
176 | if (yy == 0) { | |
177 | scm_num_overflow (s_quotient); | |
178 | } else { | |
179 | long z = xx / yy; | |
4219f20d DH |
180 | if (SCM_FIXABLE (z)) { |
181 | return SCM_MAKINUM (z); | |
182 | } else { | |
828865c3 DH |
183 | #ifdef SCM_BIGDIG |
184 | return scm_long2big (z); | |
185 | #else | |
186 | scm_num_overflow (s_quotient); | |
187 | #endif | |
828865c3 DH |
188 | } |
189 | } | |
4219f20d DH |
190 | } else if (SCM_BIGP (y)) { |
191 | return SCM_INUM0; | |
4219f20d DH |
192 | } else { |
193 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); | |
828865c3 | 194 | } |
4219f20d DH |
195 | } else if (SCM_BIGP (x)) { |
196 | if (SCM_INUMP (y)) { | |
828865c3 DH |
197 | long yy = SCM_INUM (y); |
198 | if (yy == 0) { | |
199 | scm_num_overflow (s_quotient); | |
200 | } else if (yy == 1) { | |
f872b822 | 201 | return x; |
828865c3 DH |
202 | } else { |
203 | long z = yy < 0 ? -yy : yy; | |
204 | ||
205 | if (z < SCM_BIGRAD) { | |
206 | SCM sw = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)); | |
c209c88e GB |
207 | scm_divbigdig (SCM_BDIGITS (sw), SCM_NUMDIGS (sw), (SCM_BIGDIG) z); |
208 | return scm_normbig (sw); | |
828865c3 | 209 | } else { |
0f2d19dd | 210 | #ifndef SCM_DIGSTOOBIG |
828865c3 DH |
211 | long w = scm_pseudolong (z); |
212 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
213 | (SCM_BIGDIG *) & w, SCM_DIGSPERLONG, | |
214 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2); | |
0f2d19dd | 215 | #else |
828865c3 DH |
216 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
217 | scm_longdigs (z, zdigs); | |
218 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
219 | zdigs, SCM_DIGSPERLONG, | |
220 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 2); | |
f872b822 | 221 | #endif |
f872b822 | 222 | } |
828865c3 | 223 | } |
4219f20d DH |
224 | } else if (SCM_BIGP (y)) { |
225 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
226 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
227 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2); | |
228 | } else { | |
229 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient); | |
f872b822 | 230 | } |
4219f20d | 231 | } else { |
89a7e495 | 232 | SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG1, s_quotient); |
0f2d19dd | 233 | } |
0f2d19dd JB |
234 | } |
235 | ||
4219f20d | 236 | |
9de33deb | 237 | SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder); |
1cc91f1b | 238 | |
0f2d19dd | 239 | SCM |
6e8d25a6 | 240 | scm_remainder (SCM x, SCM y) |
0f2d19dd | 241 | { |
89a7e495 DH |
242 | if (SCM_INUMP (x)) { |
243 | if (SCM_INUMP (y)) { | |
244 | long yy = SCM_INUM (y); | |
245 | if (yy == 0) { | |
246 | scm_num_overflow (s_remainder); | |
247 | } else { | |
248 | #if (__TURBOC__ == 1) | |
249 | long z = SCM_INUM (x) % (yy < 0 ? -yy : yy); | |
250 | #else | |
251 | long z = SCM_INUM (x) % yy; | |
252 | #endif | |
253 | return SCM_MAKINUM (z); | |
254 | } | |
89a7e495 | 255 | } else if (SCM_BIGP (y)) { |
f872b822 | 256 | return x; |
89a7e495 DH |
257 | } else { |
258 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); | |
259 | } | |
89a7e495 DH |
260 | } else if (SCM_BIGP (x)) { |
261 | if (SCM_INUMP (y)) { | |
262 | long yy = SCM_INUM (y); | |
263 | if (yy == 0) { | |
264 | scm_num_overflow (s_remainder); | |
265 | } else { | |
266 | return scm_divbigint (x, yy, SCM_BIGSIGN (x), 0); | |
267 | } | |
268 | } else if (SCM_BIGP (y)) { | |
269 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
270 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
271 | SCM_BIGSIGN (x), 0); | |
272 | } else { | |
273 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder); | |
f872b822 | 274 | } |
89a7e495 DH |
275 | } else { |
276 | SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG1, s_remainder); | |
277 | } | |
0f2d19dd JB |
278 | } |
279 | ||
89a7e495 | 280 | |
9de33deb | 281 | SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo); |
1cc91f1b | 282 | |
0f2d19dd | 283 | SCM |
6e8d25a6 | 284 | scm_modulo (SCM x, SCM y) |
0f2d19dd | 285 | { |
828865c3 DH |
286 | if (SCM_INUMP (x)) { |
287 | long xx = SCM_INUM (x); | |
288 | if (SCM_INUMP (y)) { | |
289 | long yy = SCM_INUM (y); | |
290 | if (yy == 0) { | |
291 | scm_num_overflow (s_modulo); | |
292 | } else { | |
293 | #if (__TURBOC__ == 1) | |
294 | long z = ((yy < 0) ? -xx : xx) % yy; | |
295 | #else | |
296 | long z = xx % yy; | |
297 | #endif | |
298 | return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z); | |
299 | } | |
09fb7599 DH |
300 | } else if (SCM_BIGP (y)) { |
301 | return (SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)) ? scm_sum (x, y) : x; | |
09fb7599 DH |
302 | } else { |
303 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); | |
f872b822 | 304 | } |
09fb7599 DH |
305 | } else if (SCM_BIGP (x)) { |
306 | if (SCM_INUMP (y)) { | |
828865c3 DH |
307 | long yy = SCM_INUM (y); |
308 | if (yy == 0) { | |
309 | scm_num_overflow (s_modulo); | |
310 | } else { | |
311 | return scm_divbigint (x, yy, yy < 0, | |
312 | (SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)) ? 1 : 0); | |
313 | } | |
09fb7599 DH |
314 | } else if (SCM_BIGP (y)) { |
315 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
316 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
317 | SCM_BIGSIGN (y), | |
318 | (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0); | |
319 | } else { | |
320 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo); | |
828865c3 | 321 | } |
09fb7599 DH |
322 | } else { |
323 | SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG1, s_modulo); | |
828865c3 | 324 | } |
0f2d19dd JB |
325 | } |
326 | ||
09fb7599 | 327 | |
9de33deb | 328 | SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd); |
1cc91f1b | 329 | |
0f2d19dd | 330 | SCM |
6e8d25a6 | 331 | scm_gcd (SCM x, SCM y) |
0f2d19dd | 332 | { |
09fb7599 DH |
333 | if (SCM_UNBNDP (y)) { |
334 | if (SCM_UNBNDP (x)) { | |
335 | return SCM_INUM0; | |
336 | } else { | |
337 | return x; | |
338 | } | |
339 | } | |
f8de44c1 | 340 | |
0f2d19dd | 341 | tailrec: |
09fb7599 DH |
342 | if (SCM_INUMP (x)) { |
343 | if (SCM_INUMP (y)) { | |
344 | long xx = SCM_INUM (x); | |
345 | long yy = SCM_INUM (y); | |
346 | long u = xx < 0 ? -xx : xx; | |
347 | long v = yy < 0 ? -yy : yy; | |
348 | long result; | |
349 | ||
350 | if (xx == 0) { | |
351 | result = v; | |
352 | } else if (yy == 0) { | |
353 | result = u; | |
354 | } else { | |
355 | int k = 1; | |
356 | long t; | |
357 | ||
358 | /* Determine a common factor 2^k */ | |
359 | while (!(1 & (u | v))) { | |
360 | k <<= 1; | |
361 | u >>= 1; | |
362 | v >>= 1; | |
f872b822 | 363 | } |
09fb7599 DH |
364 | |
365 | /* Now, any factor 2^n can be eliminated */ | |
366 | if (u & 1) { | |
367 | t = -v; | |
368 | } else { | |
369 | t = u; | |
370 | b3: | |
371 | t = SCM_SRS (t, 1); | |
372 | } | |
373 | if (!(1 & t)) | |
374 | goto b3; | |
375 | if (t > 0) | |
376 | u = t; | |
377 | else | |
378 | v = -t; | |
379 | t = u - v; | |
380 | if (t != 0) | |
381 | goto b3; | |
382 | ||
383 | result = u * k; | |
384 | } | |
385 | if (SCM_POSFIXABLE (result)) { | |
386 | return SCM_MAKINUM (result); | |
387 | } else { | |
388 | #ifdef SCM_BIGDIG | |
389 | return scm_long2big (result); | |
f872b822 | 390 | #else |
09fb7599 DH |
391 | scm_num_overflow (s_gcd); |
392 | #endif | |
393 | } | |
09fb7599 DH |
394 | } else if (SCM_BIGP (y)) { |
395 | SCM_SWAP (x, y); | |
396 | goto big_gcd; | |
09fb7599 DH |
397 | } else { |
398 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd); | |
f872b822 | 399 | } |
09fb7599 DH |
400 | } else if (SCM_BIGP (x)) { |
401 | big_gcd: | |
402 | if (SCM_BIGSIGN (x)) | |
403 | x = scm_copybig (x, 0); | |
404 | newy: | |
405 | if (SCM_INUMP (y)) { | |
406 | if (SCM_EQ_P (y, SCM_INUM0)) { | |
407 | return x; | |
408 | } else { | |
409 | goto swaprec; | |
410 | } | |
411 | } else if (SCM_BIGP (y)) { | |
412 | if (SCM_BIGSIGN (y)) | |
413 | y = scm_copybig (y, 0); | |
414 | switch (scm_bigcomp (x, y)) | |
415 | { | |
416 | case -1: /* x > y */ | |
417 | swaprec: | |
418 | { | |
419 | SCM t = scm_remainder (x, y); | |
420 | x = y; | |
421 | y = t; | |
422 | } | |
423 | goto tailrec; | |
424 | case 1: /* x < y */ | |
425 | y = scm_remainder (y, x); | |
426 | goto newy; | |
427 | default: /* x == y */ | |
428 | return x; | |
429 | } | |
430 | /* instead of the switch, we could just | |
431 | return scm_gcd (y, scm_modulo (x, y)); */ | |
432 | } else { | |
433 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd); | |
434 | } | |
09fb7599 DH |
435 | } else { |
436 | SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG1, s_gcd); | |
437 | } | |
0f2d19dd JB |
438 | } |
439 | ||
09fb7599 | 440 | |
9de33deb | 441 | SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm); |
1cc91f1b | 442 | |
0f2d19dd | 443 | SCM |
6e8d25a6 | 444 | scm_lcm (SCM n1, SCM n2) |
0f2d19dd | 445 | { |
09fb7599 DH |
446 | if (SCM_UNBNDP (n2)) { |
447 | if (SCM_UNBNDP (n1)) { | |
448 | return SCM_MAKINUM (1L); | |
449 | } else { | |
450 | n2 = SCM_MAKINUM (1L); | |
451 | } | |
452 | }; | |
453 | ||
02a3305a | 454 | #ifndef SCM_BIGDIG |
09fb7599 DH |
455 | SCM_GASSERT2 (SCM_INUMP (n1), g_lcm, n1, n2, SCM_ARG1, s_lcm); |
456 | SCM_GASSERT2 (SCM_INUMP (n2), g_lcm, n1, n2, SCM_ARGn, s_lcm); | |
9de33deb | 457 | #else |
09fb7599 | 458 | SCM_GASSERT2 (SCM_INUMP (n1) || SCM_BIGP (n1), |
9de33deb | 459 | g_lcm, n1, n2, SCM_ARG1, s_lcm); |
09fb7599 | 460 | SCM_GASSERT2 (SCM_INUMP (n2) || SCM_BIGP (n2), |
9de33deb MD |
461 | g_lcm, n1, n2, SCM_ARGn, s_lcm); |
462 | #endif | |
09fb7599 DH |
463 | |
464 | { | |
465 | SCM d = scm_gcd (n1, n2); | |
466 | if (SCM_EQ_P (d, SCM_INUM0)) { | |
467 | return d; | |
468 | } else { | |
469 | return scm_abs (scm_product (n1, scm_quotient (n2, d))); | |
f872b822 | 470 | } |
09fb7599 | 471 | } |
0f2d19dd JB |
472 | } |
473 | ||
09fb7599 | 474 | |
0f2d19dd | 475 | #ifndef scm_long2num |
c1bfcf60 GB |
476 | #define SCM_LOGOP_RETURN(x) scm_ulong2num(x) |
477 | #else | |
478 | #define SCM_LOGOP_RETURN(x) SCM_MAKINUM(x) | |
479 | #endif | |
480 | ||
8a525303 GB |
481 | |
482 | /* Emulating 2's complement bignums with sign magnitude arithmetic: | |
483 | ||
484 | Logand: | |
485 | X Y Result Method: | |
486 | (len) | |
487 | + + + x (map digit:logand X Y) | |
488 | + - + x (map digit:logand X (lognot (+ -1 Y))) | |
489 | - + + y (map digit:logand (lognot (+ -1 X)) Y) | |
490 | - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) | |
491 | ||
492 | Logior: | |
493 | X Y Result Method: | |
494 | ||
495 | + + + (map digit:logior X Y) | |
496 | + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) | |
497 | - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) | |
498 | - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) | |
499 | ||
500 | Logxor: | |
501 | X Y Result Method: | |
502 | ||
503 | + + + (map digit:logxor X Y) | |
504 | + - - (+ 1 (map digit:logxor X (+ -1 Y))) | |
505 | - + - (+ 1 (map digit:logxor (+ -1 X) Y)) | |
506 | - - + (map digit:logxor (+ -1 X) (+ -1 Y)) | |
507 | ||
508 | Logtest: | |
509 | X Y Result | |
510 | ||
511 | + + (any digit:logand X Y) | |
512 | + - (any digit:logand X (lognot (+ -1 Y))) | |
513 | - + (any digit:logand (lognot (+ -1 X)) Y) | |
514 | - - #t | |
515 | ||
516 | */ | |
517 | ||
518 | #ifdef SCM_BIGDIG | |
519 | ||
520 | SCM scm_copy_big_dec(SCM b, int sign); | |
521 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn); | |
522 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
523 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
524 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn); | |
525 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy); | |
526 | ||
527 | SCM scm_copy_big_dec(SCM b, int sign) | |
528 | { | |
529 | long num = -1; | |
530 | scm_sizet nx = SCM_NUMDIGS(b); | |
531 | scm_sizet i = 0; | |
532 | SCM ans = scm_mkbig(nx, sign); | |
533 | SCM_BIGDIG *src = SCM_BDIGITS(b), *dst = SCM_BDIGITS(ans); | |
534 | if SCM_BIGSIGN(b) do { | |
535 | num += src[i]; | |
536 | if (num < 0) {dst[i] = num + SCM_BIGRAD; num = -1;} | |
537 | else {dst[i] = SCM_BIGLO(num); num = 0;} | |
538 | } while (++i < nx); | |
539 | else | |
540 | while (nx--) dst[nx] = src[nx]; | |
541 | return ans; | |
542 | } | |
543 | ||
544 | SCM scm_copy_smaller(SCM_BIGDIG *x, scm_sizet nx, int zsgn) | |
545 | { | |
546 | long num = -1; | |
547 | scm_sizet i = 0; | |
548 | SCM z = scm_mkbig(nx, zsgn); | |
549 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
550 | if (zsgn) do { | |
551 | num += x[i]; | |
552 | if (num < 0) {zds[i] = num + SCM_BIGRAD; num = -1;} | |
553 | else {zds[i] = SCM_BIGLO(num); num = 0;} | |
554 | } while (++i < nx); | |
555 | else do zds[i] = x[i]; while (++i < nx); | |
556 | return z; | |
557 | } | |
558 | ||
559 | SCM scm_big_ior(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
560 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 561 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
562 | { |
563 | long num = -1; | |
564 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
f3ae5d60 | 565 | SCM z = scm_copy_big_dec (bigy, xsgn & SCM_BIGSIGN (bigy)); |
8a525303 GB |
566 | SCM_BIGDIG *zds = SCM_BDIGITS(z); |
567 | if (xsgn) { | |
568 | do { | |
569 | num += x[i]; | |
570 | if (num < 0) {zds[i] |= num + SCM_BIGRAD; num = -1;} | |
571 | else {zds[i] |= SCM_BIGLO(num); num = 0;} | |
572 | } while (++i < nx); | |
573 | /* ========= Need to increment zds now =========== */ | |
574 | i = 0; num = 1; | |
575 | while (i < ny) { | |
576 | num += zds[i]; | |
577 | zds[i++] = SCM_BIGLO(num); | |
578 | num = SCM_BIGDN(num); | |
579 | if (!num) return z; | |
580 | } | |
581 | scm_adjbig(z, 1 + ny); /* OOPS, overflowed into next digit. */ | |
582 | SCM_BDIGITS(z)[ny] = 1; | |
583 | return z; | |
584 | } | |
585 | else do zds[i] = zds[i] | x[i]; while (++i < nx); | |
586 | return z; | |
587 | } | |
588 | ||
589 | SCM scm_big_xor(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
590 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 591 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
592 | { |
593 | long num = -1; | |
594 | scm_sizet i = 0, ny = SCM_NUMDIGS(bigy); | |
595 | SCM z = scm_copy_big_dec(bigy, xsgn ^ SCM_BIGSIGN(bigy)); | |
596 | SCM_BIGDIG *zds = SCM_BDIGITS(z); | |
597 | if (xsgn) do { | |
598 | num += x[i]; | |
599 | if (num < 0) {zds[i] ^= num + SCM_BIGRAD; num = -1;} | |
600 | else {zds[i] ^= SCM_BIGLO(num); num = 0;} | |
601 | } while (++i < nx); | |
602 | else do { | |
603 | zds[i] = zds[i] ^ x[i]; | |
604 | } while (++i < nx); | |
605 | ||
606 | if (xsgn ^ SCM_BIGSIGN(bigy)) { | |
607 | /* ========= Need to increment zds now =========== */ | |
608 | i = 0; num = 1; | |
609 | while (i < ny) { | |
610 | num += zds[i]; | |
611 | zds[i++] = SCM_BIGLO(num); | |
612 | num = SCM_BIGDN(num); | |
613 | if (!num) return scm_normbig(z); | |
614 | } | |
615 | } | |
616 | return scm_normbig(z); | |
617 | } | |
618 | ||
619 | SCM scm_big_and(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int zsgn) | |
620 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 MD |
621 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
622 | /* return sign equals either 0 or SCM_BIGSIGNFLAG */ | |
8a525303 GB |
623 | { |
624 | long num = -1; | |
625 | scm_sizet i = 0; | |
626 | SCM z; | |
627 | SCM_BIGDIG *zds; | |
628 | if (xsgn==zsgn) { | |
629 | z = scm_copy_smaller(x, nx, zsgn); | |
630 | x = SCM_BDIGITS(bigy); | |
631 | xsgn = SCM_BIGSIGN(bigy); | |
632 | } | |
633 | else z = scm_copy_big_dec(bigy, zsgn); | |
634 | zds = SCM_BDIGITS(z); | |
635 | ||
636 | if (zsgn) { | |
637 | if (xsgn) do { | |
638 | num += x[i]; | |
639 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
640 | else {zds[i] &= SCM_BIGLO(num); num = 0;} | |
641 | } while (++i < nx); | |
642 | else do zds[i] = zds[i] & ~x[i]; while (++i < nx); | |
643 | /* ========= need to increment zds now =========== */ | |
644 | i = 0; num = 1; | |
645 | while (i < nx) { | |
646 | num += zds[i]; | |
647 | zds[i++] = SCM_BIGLO(num); | |
648 | num = SCM_BIGDN(num); | |
649 | if (!num) return scm_normbig(z); | |
650 | } | |
651 | } | |
652 | else if (xsgn) do { | |
653 | num += x[i]; | |
654 | if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;} | |
655 | else {zds[i] &= ~SCM_BIGLO(num); num = 0;} | |
656 | } while (++i < nx); | |
657 | else do zds[i] = zds[i] & x[i]; while (++i < nx); | |
658 | return scm_normbig(z); | |
659 | } | |
660 | ||
661 | SCM scm_big_test(SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy) | |
662 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 663 | /* Assumes xsgn equals either 0 or SCM_BIGSIGNFLAG */ |
8a525303 GB |
664 | { |
665 | SCM_BIGDIG *y; | |
666 | scm_sizet i = 0; | |
667 | long num = -1; | |
668 | if (SCM_BIGSIGN(bigy) & xsgn) return SCM_BOOL_T; | |
669 | if (SCM_NUMDIGS(bigy) != nx && xsgn) return SCM_BOOL_T; | |
670 | y = SCM_BDIGITS(bigy); | |
671 | if (xsgn) | |
672 | do { | |
673 | num += x[i]; | |
674 | if (num < 0) { | |
675 | if (y[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
676 | num = -1; | |
677 | } | |
678 | else { | |
679 | if (y[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
680 | num = 0; | |
681 | } | |
682 | } while (++i < nx); | |
683 | else if SCM_BIGSIGN(bigy) | |
684 | do { | |
685 | num += y[i]; | |
686 | if (num < 0) { | |
687 | if (x[i] & ~(num + SCM_BIGRAD)) return SCM_BOOL_T; | |
688 | num = -1; | |
689 | } | |
690 | else { | |
691 | if (x[i] & ~SCM_BIGLO(num)) return SCM_BOOL_T; | |
692 | num = 0; | |
693 | } | |
694 | } while (++i < nx); | |
695 | else | |
696 | do if (x[i] & y[i]) return SCM_BOOL_T; | |
697 | while (++i < nx); | |
698 | return SCM_BOOL_F; | |
699 | } | |
700 | ||
701 | #endif | |
702 | ||
09fb7599 | 703 | |
c3ee7520 | 704 | SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr, |
1bbd0b84 | 705 | (SCM n1, SCM n2), |
b380b885 MD |
706 | "Returns the integer which is the bit-wise AND of the two integer\n" |
707 | "arguments.\n\n" | |
708 | "Example:\n" | |
709 | "@lisp\n" | |
710 | "(number->string (logand #b1100 #b1010) 2)\n" | |
711 | " @result{} \"1000\"") | |
1bbd0b84 | 712 | #define FUNC_NAME s_scm_logand |
0f2d19dd | 713 | { |
09fb7599 DH |
714 | if (SCM_UNBNDP (n2)) { |
715 | if (SCM_UNBNDP (n1)) { | |
716 | return SCM_MAKINUM (-1); | |
717 | } else if (!SCM_NUMBERP (n1)) { | |
718 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
8a525303 | 719 | #ifndef SCM_RECKLESS |
09fb7599 | 720 | } else if (SCM_NUMBERP (n1)) { |
d28da049 | 721 | return n1; |
09fb7599 DH |
722 | } else { |
723 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
724 | #else | |
725 | } else { | |
726 | return n1; | |
727 | #endif | |
d28da049 | 728 | } |
8a525303 | 729 | } |
09fb7599 DH |
730 | |
731 | if (SCM_INUMP (n1)) { | |
732 | long nn1 = SCM_INUM (n1); | |
733 | if (SCM_INUMP (n2)) { | |
734 | long nn2 = SCM_INUM (n2); | |
735 | return SCM_MAKINUM (nn1 & nn2); | |
09fb7599 DH |
736 | } else if SCM_BIGP (n2) { |
737 | intbig: | |
738 | { | |
8a525303 | 739 | # ifndef SCM_DIGSTOOBIG |
09fb7599 DH |
740 | long z = scm_pseudolong (nn1); |
741 | if ((nn1 < 0) && SCM_BIGSIGN (n2)) { | |
742 | return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
743 | SCM_BIGSIGNFLAG, n2); | |
744 | } else { | |
745 | return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
746 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
747 | } | |
8a525303 | 748 | # else |
09fb7599 DH |
749 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
750 | scm_longdigs (nn1, zdigs); | |
751 | if ((nn1 < 0) && SCM_BIGSIGN (n2)) { | |
752 | return scm_big_ior (zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2); | |
753 | } else { | |
754 | return scm_big_and (zdigs, SCM_DIGSPERLONG, | |
755 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0); | |
756 | } | |
8a525303 | 757 | # endif |
09fb7599 | 758 | } |
09fb7599 DH |
759 | } else { |
760 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
761 | } | |
09fb7599 DH |
762 | } else if (SCM_BIGP (n1)) { |
763 | if (SCM_INUMP (n2)) { | |
764 | SCM_SWAP (n1, n2); | |
765 | goto intbig; | |
766 | } else if (SCM_BIGP (n2)) { | |
767 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
768 | SCM_SWAP (n1, n2); | |
769 | }; | |
770 | if ((SCM_BIGSIGN (n1)) && SCM_BIGSIGN (n2)) { | |
771 | return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
772 | SCM_BIGSIGNFLAG, n2); | |
773 | } else { | |
774 | return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
775 | SCM_BIGSIGN (n1), n2, 0); | |
776 | } | |
777 | } else { | |
778 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
779 | } | |
09fb7599 DH |
780 | } else { |
781 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
782 | } | |
0f2d19dd | 783 | } |
1bbd0b84 | 784 | #undef FUNC_NAME |
0f2d19dd | 785 | |
09fb7599 | 786 | |
c3ee7520 | 787 | SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr, |
1bbd0b84 | 788 | (SCM n1, SCM n2), |
b380b885 MD |
789 | "Returns the integer which is the bit-wise OR of the two integer\n" |
790 | "arguments.\n\n" | |
791 | "Example:\n" | |
792 | "@lisp\n" | |
793 | "(number->string (logior #b1100 #b1010) 2)\n" | |
794 | " @result{} \"1110\"\n" | |
795 | "@end lisp") | |
1bbd0b84 | 796 | #define FUNC_NAME s_scm_logior |
0f2d19dd | 797 | { |
09fb7599 DH |
798 | if (SCM_UNBNDP (n2)) { |
799 | if (SCM_UNBNDP (n1)) { | |
800 | return SCM_INUM0; | |
8a525303 | 801 | #ifndef SCM_RECKLESS |
09fb7599 | 802 | } else if (SCM_NUMBERP (n1)) { |
d28da049 | 803 | return n1; |
09fb7599 DH |
804 | } else { |
805 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
806 | #else | |
807 | } else { | |
808 | return n1; | |
809 | #endif | |
d28da049 | 810 | } |
8a525303 | 811 | } |
09fb7599 DH |
812 | |
813 | if (SCM_INUMP (n1)) { | |
814 | long nn1 = SCM_INUM (n1); | |
815 | if (SCM_INUMP (n2)) { | |
816 | long nn2 = SCM_INUM (n2); | |
817 | return SCM_MAKINUM (nn1 | nn2); | |
09fb7599 DH |
818 | } else if (SCM_BIGP (n2)) { |
819 | intbig: | |
820 | { | |
8a525303 | 821 | # ifndef SCM_DIGSTOOBIG |
09fb7599 DH |
822 | long z = scm_pseudolong (nn1); |
823 | if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) { | |
824 | return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
825 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
826 | } else { | |
827 | return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
828 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
829 | } | |
8a525303 | 830 | # else |
09fb7599 DH |
831 | BIGDIG zdigs [DIGSPERLONG]; |
832 | scm_longdigs (nn1, zdigs); | |
833 | if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) { | |
834 | return scm_big_ior (zdigs, SCM_DIGSPERLONG, | |
835 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
836 | } else { | |
837 | return scm_big_and (zdigs, SCM_DIGSPERLONG, | |
838 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG); | |
839 | } | |
8a525303 | 840 | # endif |
09fb7599 | 841 | } |
09fb7599 DH |
842 | } else { |
843 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
844 | } | |
09fb7599 DH |
845 | } else if (SCM_BIGP (n1)) { |
846 | if (SCM_INUMP (n2)) { | |
847 | SCM_SWAP (n1, n2); | |
848 | goto intbig; | |
849 | } else if (SCM_BIGP (n2)) { | |
850 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
851 | SCM_SWAP (n1, n2); | |
852 | }; | |
853 | if ((!SCM_BIGSIGN (n1)) && !SCM_BIGSIGN (n2)) { | |
854 | return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
855 | SCM_BIGSIGN (n1), n2); | |
856 | } else { | |
857 | return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
858 | SCM_BIGSIGN (n1), n2, SCM_BIGSIGNFLAG); | |
859 | } | |
860 | } else { | |
861 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
862 | } | |
09fb7599 DH |
863 | } else { |
864 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
865 | } | |
0f2d19dd | 866 | } |
1bbd0b84 | 867 | #undef FUNC_NAME |
0f2d19dd | 868 | |
09fb7599 | 869 | |
c3ee7520 | 870 | SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr, |
1bbd0b84 | 871 | (SCM n1, SCM n2), |
b380b885 MD |
872 | "Returns the integer which is the bit-wise XOR of the two integer\n" |
873 | "arguments.\n\n" | |
874 | "Example:\n" | |
875 | "@lisp\n" | |
876 | "(number->string (logxor #b1100 #b1010) 2)\n" | |
877 | " @result{} \"110\"\n" | |
878 | "@end lisp") | |
1bbd0b84 | 879 | #define FUNC_NAME s_scm_logxor |
0f2d19dd | 880 | { |
09fb7599 DH |
881 | if (SCM_UNBNDP (n2)) { |
882 | if (SCM_UNBNDP (n1)) { | |
883 | return SCM_INUM0; | |
8a525303 | 884 | #ifndef SCM_RECKLESS |
09fb7599 DH |
885 | } else if (SCM_NUMBERP (n1)) { |
886 | return n1; | |
887 | } else { | |
888 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
889 | #else | |
890 | } else { | |
d28da049 | 891 | return n1; |
09fb7599 | 892 | #endif |
d28da049 | 893 | } |
8a525303 | 894 | } |
09fb7599 DH |
895 | |
896 | if (SCM_INUMP (n1)) { | |
897 | long nn1 = SCM_INUM (n1); | |
898 | if (SCM_INUMP (n2)) { | |
899 | long nn2 = SCM_INUM (n2); | |
900 | return SCM_MAKINUM (nn1 ^ nn2); | |
09fb7599 DH |
901 | } else if (SCM_BIGP (n2)) { |
902 | intbig: | |
8a525303 GB |
903 | { |
904 | # ifndef SCM_DIGSTOOBIG | |
09fb7599 DH |
905 | long z = scm_pseudolong (nn1); |
906 | return scm_big_xor ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
907 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 908 | # else |
09fb7599 DH |
909 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
910 | scm_longdigs (nn1, zdigs); | |
911 | return scm_big_xor (zdigs, SCM_DIGSPERLONG, | |
912 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 GB |
913 | # endif |
914 | } | |
09fb7599 DH |
915 | } else { |
916 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
917 | } | |
09fb7599 DH |
918 | } else if (SCM_BIGP (n1)) { |
919 | if (SCM_INUMP (n2)) { | |
920 | SCM_SWAP (n1, n2); | |
921 | goto intbig; | |
922 | } else if (SCM_BIGP (n2)) { | |
923 | if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) { | |
924 | SCM_SWAP (n1, n2); | |
925 | } | |
926 | return scm_big_xor (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
927 | SCM_BIGSIGN (n1), n2); | |
928 | } else { | |
929 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
930 | } | |
09fb7599 DH |
931 | } else { |
932 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
933 | } | |
0f2d19dd | 934 | } |
1bbd0b84 | 935 | #undef FUNC_NAME |
0f2d19dd | 936 | |
09fb7599 | 937 | |
a1ec6916 | 938 | SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0, |
1bbd0b84 | 939 | (SCM n1, SCM n2), |
b380b885 MD |
940 | "@example\n" |
941 | "(logtest j k) @equiv{} (not (zero? (logand j k)))\n\n" | |
942 | "(logtest #b0100 #b1011) @result{} #f\n" | |
943 | "(logtest #b0100 #b0111) @result{} #t\n" | |
944 | "@end example") | |
1bbd0b84 | 945 | #define FUNC_NAME s_scm_logtest |
0f2d19dd | 946 | { |
f8de44c1 DH |
947 | if (SCM_INUMP (n1)) { |
948 | long nn1 = SCM_INUM (n1); | |
949 | if (SCM_INUMP (n2)) { | |
950 | long nn2 = SCM_INUM (n2); | |
951 | return SCM_BOOL (nn1 & nn2); | |
f8de44c1 DH |
952 | } else if (SCM_BIGP (n2)) { |
953 | intbig: | |
954 | { | |
8a525303 | 955 | # ifndef SCM_DIGSTOOBIG |
f8de44c1 DH |
956 | long z = scm_pseudolong (nn1); |
957 | return scm_big_test ((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, | |
958 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 959 | # else |
f8de44c1 DH |
960 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
961 | scm_longdigs (nn1, zdigs); | |
962 | return scm_big_test (zdigs, SCM_DIGSPERLONG, | |
963 | (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2); | |
8a525303 | 964 | # endif |
f8de44c1 | 965 | } |
f8de44c1 DH |
966 | } else { |
967 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
968 | } | |
f8de44c1 DH |
969 | } else if (SCM_BIGP (n1)) { |
970 | if (SCM_INUMP (n2)) { | |
971 | SCM_SWAP (n1, n2); | |
972 | goto intbig; | |
973 | } else if (SCM_BIGP (n2)) { | |
974 | if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) { | |
975 | SCM_SWAP (n1, n2); | |
976 | } | |
977 | return scm_big_test (SCM_BDIGITS (n1), SCM_NUMDIGS (n1), | |
978 | SCM_BIGSIGN (n1), n2); | |
979 | } else { | |
980 | SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); | |
981 | } | |
f8de44c1 DH |
982 | } else { |
983 | SCM_WRONG_TYPE_ARG (SCM_ARG1, n1); | |
984 | } | |
0f2d19dd | 985 | } |
1bbd0b84 | 986 | #undef FUNC_NAME |
0f2d19dd | 987 | |
c1bfcf60 | 988 | |
a1ec6916 | 989 | SCM_DEFINE (scm_logbit_p, "logbit?", 2, 0, 0, |
2cd04b42 | 990 | (SCM index, SCM j), |
b380b885 MD |
991 | "@example\n" |
992 | "(logbit? index j) @equiv{} (logtest (integer-expt 2 index) j)\n\n" | |
993 | "(logbit? 0 #b1101) @result{} #t\n" | |
994 | "(logbit? 1 #b1101) @result{} #f\n" | |
995 | "(logbit? 2 #b1101) @result{} #t\n" | |
996 | "(logbit? 3 #b1101) @result{} #t\n" | |
997 | "(logbit? 4 #b1101) @result{} #f\n" | |
998 | "@end example") | |
1bbd0b84 | 999 | #define FUNC_NAME s_scm_logbit_p |
0f2d19dd | 1000 | { |
8a525303 GB |
1001 | SCM_ASSERT(SCM_INUMP(index) && SCM_INUM(index) >= 0, index, SCM_ARG1, FUNC_NAME); |
1002 | #ifdef SCM_BIGDIG | |
1003 | if SCM_NINUMP(j) { | |
09fb7599 | 1004 | SCM_ASSERT(SCM_BIGP (j), j, SCM_ARG2, FUNC_NAME); |
8a525303 GB |
1005 | if (SCM_NUMDIGS(j) * SCM_BITSPERDIG < SCM_INUM(index)) return SCM_BOOL_F; |
1006 | else if SCM_BIGSIGN(j) { | |
1007 | long num = -1; | |
1008 | scm_sizet i = 0; | |
1009 | SCM_BIGDIG *x = SCM_BDIGITS(j); | |
1010 | scm_sizet nx = SCM_INUM(index)/SCM_BITSPERDIG; | |
1011 | while (!0) { | |
1012 | num += x[i]; | |
1013 | if (nx==i++) | |
1014 | return ((1L << (SCM_INUM(index)%SCM_BITSPERDIG)) & num) ? SCM_BOOL_F : SCM_BOOL_T; | |
1015 | if (num < 0) num = -1; | |
1016 | else num = 0; | |
1017 | } | |
1018 | } | |
1019 | else return (SCM_BDIGITS(j)[SCM_INUM(index)/SCM_BITSPERDIG] & | |
1020 | (1L << (SCM_INUM(index)%SCM_BITSPERDIG))) ? SCM_BOOL_T : SCM_BOOL_F; | |
1021 | } | |
1022 | #else | |
1023 | SCM_ASSERT(SCM_INUMP(j), j, SCM_ARG2, FUNC_NAME); | |
1024 | #endif | |
1025 | return ((1L << SCM_INUM(index)) & SCM_INUM(j)) ? SCM_BOOL_T : SCM_BOOL_F; | |
0f2d19dd | 1026 | } |
1bbd0b84 | 1027 | #undef FUNC_NAME |
0f2d19dd | 1028 | |
a1ec6916 | 1029 | SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0, |
1bbd0b84 | 1030 | (SCM n), |
b380b885 MD |
1031 | "Returns the integer which is the 2s-complement of the integer argument.\n\n" |
1032 | "Example:\n" | |
1033 | "@lisp\n" | |
1034 | "(number->string (lognot #b10000000) 2)\n" | |
1035 | " @result{} \"-10000001\"\n" | |
1036 | "(number->string (lognot #b0) 2)\n" | |
1037 | " @result{} \"-1\"\n" | |
1038 | "@end lisp\n" | |
1039 | "") | |
1bbd0b84 | 1040 | #define FUNC_NAME s_scm_lognot |
0f2d19dd | 1041 | { |
f872b822 | 1042 | return scm_difference (SCM_MAKINUM (-1L), n); |
0f2d19dd | 1043 | } |
1bbd0b84 | 1044 | #undef FUNC_NAME |
0f2d19dd | 1045 | |
a1ec6916 | 1046 | SCM_DEFINE (scm_integer_expt, "integer-expt", 2, 0, 0, |
2cd04b42 | 1047 | (SCM n, SCM k), |
b380b885 MD |
1048 | "Returns @var{n} raised to the non-negative integer exponent @var{k}.\n\n" |
1049 | "Example:\n" | |
1050 | "@lisp\n" | |
1051 | "(integer-expt 2 5)\n" | |
1052 | " @result{} 32\n" | |
1053 | "(integer-expt -3 3)\n" | |
1054 | " @result{} -27\n" | |
1055 | "@end lisp") | |
1bbd0b84 | 1056 | #define FUNC_NAME s_scm_integer_expt |
0f2d19dd | 1057 | { |
f872b822 | 1058 | SCM acc = SCM_MAKINUM (1L); |
1bbd0b84 | 1059 | int i2; |
0f2d19dd | 1060 | #ifdef SCM_BIGDIG |
4260a7fc | 1061 | if (SCM_EQ_P (n, SCM_INUM0) || SCM_EQ_P (n, acc)) |
2cd04b42 | 1062 | return n; |
4260a7fc DH |
1063 | else if (SCM_EQ_P (n, SCM_MAKINUM (-1L))) |
1064 | return SCM_FALSEP (scm_even_p (k)) ? n : acc; | |
0f2d19dd | 1065 | #endif |
2cd04b42 | 1066 | SCM_VALIDATE_ULONG_COPY (2,k,i2); |
1bbd0b84 | 1067 | if (i2 < 0) |
f872b822 | 1068 | { |
1bbd0b84 | 1069 | i2 = -i2; |
2cd04b42 | 1070 | n = scm_divide (n, SCM_UNDEFINED); |
f872b822 MD |
1071 | } |
1072 | while (1) | |
1073 | { | |
1bbd0b84 | 1074 | if (0 == i2) |
f872b822 | 1075 | return acc; |
1bbd0b84 | 1076 | if (1 == i2) |
2cd04b42 | 1077 | return scm_product (acc, n); |
1bbd0b84 | 1078 | if (i2 & 1) |
2cd04b42 GB |
1079 | acc = scm_product (acc, n); |
1080 | n = scm_product (n, n); | |
1bbd0b84 | 1081 | i2 >>= 1; |
f872b822 | 1082 | } |
0f2d19dd | 1083 | } |
1bbd0b84 | 1084 | #undef FUNC_NAME |
0f2d19dd | 1085 | |
a1ec6916 | 1086 | SCM_DEFINE (scm_ash, "ash", 2, 0, 0, |
1bbd0b84 | 1087 | (SCM n, SCM cnt), |
3ab9f56e DH |
1088 | "The function ash performs an arithmetic shift left by CNT bits\n" |
1089 | "(or shift right, if CNT is negative). 'Arithmetic' means, that\n" | |
1090 | "the function does not guarantee to keep the bit structure of N,\n" | |
1091 | "but rather guarantees that the result will always be rounded\n" | |
1092 | "towards minus infinity. Therefore, the results of ash and a\n" | |
1093 | "corresponding bitwise shift will differ if N is negative.\n\n" | |
1094 | "Formally, the function returns an integer equivalent to\n" | |
1095 | "@code{(inexact->exact (floor (* N (expt 2 CNT))))}.@refill\n\n" | |
b380b885 MD |
1096 | "Example:\n" |
1097 | "@lisp\n" | |
1098 | "(number->string (ash #b1 3) 2)\n" | |
a3c8b9fc MD |
1099 | " @result{} \"1000\"" |
1100 | "(number->string (ash #b1010 -1) 2)" | |
1101 | " @result{} \"101\"" | |
1102 | "@end lisp") | |
1bbd0b84 | 1103 | #define FUNC_NAME s_scm_ash |
0f2d19dd | 1104 | { |
3ab9f56e DH |
1105 | long bits_to_shift; |
1106 | ||
1107 | #ifndef SCM_BIGDIG | |
1108 | SCM_VALIDATE_INUM (1, n) | |
1109 | #endif | |
1110 | SCM_VALIDATE_INUM (2, cnt); | |
1111 | ||
1112 | bits_to_shift = SCM_INUM (cnt); | |
0f2d19dd | 1113 | #ifdef SCM_BIGDIG |
3ab9f56e DH |
1114 | if (bits_to_shift < 0) { |
1115 | /* Shift right by abs(cnt) bits. This is realized as a division by | |
1116 | div:=2^abs(cnt). However, to guarantee the floor rounding, negative | |
1117 | values require some special treatment. | |
1118 | */ | |
1119 | SCM div = scm_integer_expt (SCM_MAKINUM (2), SCM_MAKINUM (-bits_to_shift)); | |
1120 | if (SCM_FALSEP (scm_negative_p (n))) | |
1121 | return scm_quotient (n, div); | |
1122 | else | |
1123 | return scm_sum (SCM_MAKINUM (-1L), | |
1124 | scm_quotient (scm_sum (SCM_MAKINUM (1L), n), div)); | |
1125 | } else | |
1126 | /* Shift left is done by multiplication with 2^CNT */ | |
f872b822 | 1127 | return scm_product (n, scm_integer_expt (SCM_MAKINUM (2), cnt)); |
0f2d19dd | 1128 | #else |
3ab9f56e DH |
1129 | if (bits_to_shift < 0) |
1130 | /* Signed right shift (SCM_SRS does it right) by abs(cnt) bits. */ | |
1131 | return SCM_MAKINUM (SCM_SRS (SCM_INUM (n), -bits_to_shift)); | |
1132 | else { | |
1133 | /* Shift left, but make sure not to leave the range of inums */ | |
1134 | SCM res = SCM_MAKINUM (SCM_INUM (n) << cnt); | |
1135 | if (SCM_INUM (res) >> cnt != SCM_INUM (n)) | |
1136 | scm_num_overflow (FUNC_NAME); | |
1137 | return res; | |
1138 | } | |
0f2d19dd JB |
1139 | #endif |
1140 | } | |
1bbd0b84 | 1141 | #undef FUNC_NAME |
0f2d19dd | 1142 | |
1bbd0b84 | 1143 | /* GJB:FIXME: do not use SCMs as integers! */ |
a1ec6916 | 1144 | SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0, |
1bbd0b84 | 1145 | (SCM n, SCM start, SCM end), |
b380b885 MD |
1146 | "Returns the integer composed of the @var{start} (inclusive) through\n" |
1147 | "@var{end} (exclusive) bits of @var{n}. The @var{start}th bit becomes\n" | |
1148 | "the 0-th bit in the result.@refill\n\n" | |
1149 | "Example:\n" | |
1150 | "@lisp\n" | |
1151 | "(number->string (bit-extract #b1101101010 0 4) 2)\n" | |
1152 | " @result{} \"1010\"\n" | |
1153 | "(number->string (bit-extract #b1101101010 4 9) 2)\n" | |
1154 | " @result{} \"10110\"\n" | |
1155 | "@end lisp") | |
1bbd0b84 | 1156 | #define FUNC_NAME s_scm_bit_extract |
0f2d19dd | 1157 | { |
c1bfcf60 | 1158 | int istart, iend; |
3b3b36dd | 1159 | SCM_VALIDATE_INUM (1,n); |
c1bfcf60 GB |
1160 | SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart); |
1161 | SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend); | |
1162 | SCM_ASSERT_RANGE (3, end, (iend >= istart)); | |
0f2d19dd | 1163 | #ifdef SCM_BIGDIG |
f872b822 | 1164 | if (SCM_NINUMP (n)) |
0f2d19dd | 1165 | return |
f872b822 | 1166 | scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2), |
c1bfcf60 | 1167 | SCM_MAKINUM (iend - istart)), |
f872b822 | 1168 | SCM_MAKINUM (1L)), |
c1bfcf60 | 1169 | scm_ash (n, SCM_MAKINUM (-istart))); |
0f2d19dd | 1170 | #else |
3b3b36dd | 1171 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1172 | #endif |
c1bfcf60 | 1173 | return SCM_MAKINUM ((SCM_INUM (n) >> istart) & ((1L << (iend - istart)) - 1)); |
0f2d19dd | 1174 | } |
1bbd0b84 | 1175 | #undef FUNC_NAME |
0f2d19dd | 1176 | |
e4755e5c JB |
1177 | static const char scm_logtab[] = { |
1178 | 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4 | |
1179 | }; | |
1cc91f1b | 1180 | |
a1ec6916 | 1181 | SCM_DEFINE (scm_logcount, "logcount", 1, 0, 0, |
1bbd0b84 | 1182 | (SCM n), |
b380b885 MD |
1183 | "Returns the number of bits in integer @var{n}. If integer is positive,\n" |
1184 | "the 1-bits in its binary representation are counted. If negative, the\n" | |
1185 | "0-bits in its two's-complement binary representation are counted. If 0,\n" | |
1186 | "0 is returned.\n\n" | |
1187 | "Example:\n" | |
1188 | "@lisp\n" | |
1189 | "(logcount #b10101010)\n" | |
1190 | " @result{} 4\n" | |
1191 | "(logcount 0)\n" | |
1192 | " @result{} 0\n" | |
1193 | "(logcount -2)\n" | |
1194 | " @result{} 1\n" | |
1195 | "@end lisp") | |
1bbd0b84 | 1196 | #define FUNC_NAME s_scm_logcount |
0f2d19dd JB |
1197 | { |
1198 | register unsigned long c = 0; | |
1199 | register long nn; | |
1200 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1201 | if (SCM_NINUMP (n)) |
1202 | { | |
1203 | scm_sizet i; | |
1204 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1205 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1206 | if (SCM_BIGSIGN (n)) |
1207 | return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n)); | |
1208 | ds = SCM_BDIGITS (n); | |
1209 | for (i = SCM_NUMDIGS (n); i--;) | |
1210 | for (d = ds[i]; d; d >>= 4) | |
1211 | c += scm_logtab[15 & d]; | |
1212 | return SCM_MAKINUM (c); | |
1213 | } | |
0f2d19dd | 1214 | #else |
3b3b36dd | 1215 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1216 | #endif |
f872b822 MD |
1217 | if ((nn = SCM_INUM (n)) < 0) |
1218 | nn = -1 - nn; | |
1219 | for (; nn; nn >>= 4) | |
1220 | c += scm_logtab[15 & nn]; | |
1221 | return SCM_MAKINUM (c); | |
0f2d19dd | 1222 | } |
1bbd0b84 GB |
1223 | #undef FUNC_NAME |
1224 | ||
0f2d19dd | 1225 | |
e4755e5c JB |
1226 | static const char scm_ilentab[] = { |
1227 | 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 | |
1228 | }; | |
1cc91f1b | 1229 | |
a1ec6916 | 1230 | SCM_DEFINE (scm_integer_length, "integer-length", 1, 0, 0, |
1bbd0b84 | 1231 | (SCM n), |
b380b885 MD |
1232 | "Returns the number of bits neccessary to represent @var{n}.\n\n" |
1233 | "Example:\n" | |
1234 | "@lisp\n" | |
1235 | "(integer-length #b10101010)\n" | |
1236 | " @result{} 8\n" | |
1237 | "(integer-length 0)\n" | |
1238 | " @result{} 0\n" | |
1239 | "(integer-length #b1111)\n" | |
1240 | " @result{} 4\n" | |
1241 | "@end lisp") | |
1bbd0b84 | 1242 | #define FUNC_NAME s_scm_integer_length |
0f2d19dd JB |
1243 | { |
1244 | register unsigned long c = 0; | |
1245 | register long nn; | |
1246 | unsigned int l = 4; | |
1247 | #ifdef SCM_BIGDIG | |
f872b822 MD |
1248 | if (SCM_NINUMP (n)) |
1249 | { | |
1250 | SCM_BIGDIG *ds, d; | |
3b3b36dd | 1251 | SCM_VALIDATE_BIGINT (1,n); |
f872b822 MD |
1252 | if (SCM_BIGSIGN (n)) |
1253 | return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n)); | |
1254 | ds = SCM_BDIGITS (n); | |
1255 | d = ds[c = SCM_NUMDIGS (n) - 1]; | |
1256 | for (c *= SCM_BITSPERDIG; d; d >>= 4) | |
1257 | { | |
1258 | c += 4; | |
1259 | l = scm_ilentab[15 & d]; | |
1260 | } | |
1261 | return SCM_MAKINUM (c - 4 + l); | |
1262 | } | |
0f2d19dd | 1263 | #else |
3b3b36dd | 1264 | SCM_VALIDATE_INUM (1,n); |
0f2d19dd | 1265 | #endif |
f872b822 MD |
1266 | if ((nn = SCM_INUM (n)) < 0) |
1267 | nn = -1 - nn; | |
1268 | for (; nn; nn >>= 4) | |
1269 | { | |
1270 | c += 4; | |
1271 | l = scm_ilentab[15 & nn]; | |
1272 | } | |
1273 | return SCM_MAKINUM (c - 4 + l); | |
0f2d19dd | 1274 | } |
1bbd0b84 | 1275 | #undef FUNC_NAME |
0f2d19dd JB |
1276 | |
1277 | ||
1278 | #ifdef SCM_BIGDIG | |
e4755e5c | 1279 | static const char s_bignum[] = "bignum"; |
1cc91f1b | 1280 | |
0f2d19dd | 1281 | SCM |
1bbd0b84 | 1282 | scm_mkbig (scm_sizet nlen, int sign) |
0f2d19dd | 1283 | { |
c209c88e GB |
1284 | SCM v; |
1285 | /* Cast to long int to avoid signed/unsigned comparison warnings. */ | |
f3ae5d60 MD |
1286 | if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) |
1287 | != (long int) nlen) | |
e4755e5c | 1288 | scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, s_bignum); |
c209c88e | 1289 | |
f872b822 | 1290 | SCM_NEWCELL (v); |
0f2d19dd | 1291 | SCM_DEFER_INTS; |
f872b822 | 1292 | SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)), |
e4755e5c | 1293 | s_bignum)); |
f3ae5d60 | 1294 | SCM_SETNUMDIGS (v, nlen, sign); |
0f2d19dd JB |
1295 | SCM_ALLOW_INTS; |
1296 | return v; | |
1297 | } | |
1298 | ||
1cc91f1b | 1299 | |
0f2d19dd | 1300 | SCM |
1bbd0b84 | 1301 | scm_big2inum (SCM b, scm_sizet l) |
0f2d19dd JB |
1302 | { |
1303 | unsigned long num = 0; | |
f872b822 MD |
1304 | SCM_BIGDIG *tmp = SCM_BDIGITS (b); |
1305 | while (l--) | |
1306 | num = SCM_BIGUP (num) + tmp[l]; | |
f3ae5d60 | 1307 | if (!SCM_BIGSIGN (b)) |
f872b822 MD |
1308 | { |
1309 | if (SCM_POSFIXABLE (num)) | |
1310 | return SCM_MAKINUM (num); | |
1311 | } | |
1312 | else if (SCM_UNEGFIXABLE (num)) | |
1313 | return SCM_MAKINUM (-num); | |
0f2d19dd JB |
1314 | return b; |
1315 | } | |
1316 | ||
1317 | ||
e4755e5c | 1318 | static const char s_adjbig[] = "scm_adjbig"; |
1cc91f1b | 1319 | |
0f2d19dd | 1320 | SCM |
1bbd0b84 | 1321 | scm_adjbig (SCM b, scm_sizet nlen) |
0f2d19dd | 1322 | { |
2bf746cc | 1323 | scm_sizet nsiz = nlen; |
f3ae5d60 | 1324 | if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen) |
f872b822 | 1325 | scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig); |
2bf746cc | 1326 | |
0f2d19dd | 1327 | SCM_DEFER_INTS; |
2bf746cc JB |
1328 | { |
1329 | SCM_BIGDIG *digits | |
1330 | = ((SCM_BIGDIG *) | |
f872b822 MD |
1331 | scm_must_realloc ((char *) SCM_CHARS (b), |
1332 | (long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)), | |
495ffc6e | 1333 | (long) (nsiz * sizeof (SCM_BIGDIG)), s_bignum)); |
2bf746cc JB |
1334 | |
1335 | SCM_SETCHARS (b, digits); | |
f3ae5d60 | 1336 | SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b)); |
2bf746cc | 1337 | } |
0f2d19dd JB |
1338 | SCM_ALLOW_INTS; |
1339 | return b; | |
1340 | } | |
1341 | ||
1342 | ||
1cc91f1b | 1343 | |
0f2d19dd | 1344 | SCM |
1bbd0b84 | 1345 | scm_normbig (SCM b) |
0f2d19dd | 1346 | { |
f872b822 MD |
1347 | #ifndef _UNICOS |
1348 | scm_sizet nlen = SCM_NUMDIGS (b); | |
0f2d19dd | 1349 | #else |
f872b822 | 1350 | int nlen = SCM_NUMDIGS (b); /* unsigned nlen breaks on Cray when nlen => 0 */ |
0f2d19dd | 1351 | #endif |
f872b822 MD |
1352 | SCM_BIGDIG *zds = SCM_BDIGITS (b); |
1353 | while (nlen-- && !zds[nlen]); | |
1354 | nlen++; | |
1355 | if (nlen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
1356 | if (SCM_INUMP (b = scm_big2inum (b, (scm_sizet) nlen))) | |
1357 | return b; | |
1358 | if (SCM_NUMDIGS (b) == nlen) | |
1359 | return b; | |
1360 | return scm_adjbig (b, (scm_sizet) nlen); | |
0f2d19dd JB |
1361 | } |
1362 | ||
1363 | ||
1cc91f1b | 1364 | |
0f2d19dd | 1365 | SCM |
1bbd0b84 | 1366 | scm_copybig (SCM b, int sign) |
0f2d19dd | 1367 | { |
f872b822 MD |
1368 | scm_sizet i = SCM_NUMDIGS (b); |
1369 | SCM ans = scm_mkbig (i, sign); | |
1370 | SCM_BIGDIG *src = SCM_BDIGITS (b), *dst = SCM_BDIGITS (ans); | |
1371 | while (i--) | |
1372 | dst[i] = src[i]; | |
0f2d19dd JB |
1373 | return ans; |
1374 | } | |
1375 | ||
1376 | ||
1cc91f1b | 1377 | |
0f2d19dd | 1378 | SCM |
1bbd0b84 | 1379 | scm_long2big (long n) |
0f2d19dd JB |
1380 | { |
1381 | scm_sizet i = 0; | |
1382 | SCM_BIGDIG *digits; | |
f872b822 MD |
1383 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, n < 0); |
1384 | digits = SCM_BDIGITS (ans); | |
1385 | if (n < 0) | |
1386 | n = -n; | |
1387 | while (i < SCM_DIGSPERLONG) | |
1388 | { | |
1389 | digits[i++] = SCM_BIGLO (n); | |
1390 | n = SCM_BIGDN ((unsigned long) n); | |
1391 | } | |
0f2d19dd JB |
1392 | return ans; |
1393 | } | |
1394 | ||
5c11cc9d | 1395 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 1396 | |
0f2d19dd | 1397 | SCM |
1bbd0b84 | 1398 | scm_long_long2big (long_long n) |
0f2d19dd JB |
1399 | { |
1400 | scm_sizet i; | |
1401 | SCM_BIGDIG *digits; | |
1402 | SCM ans; | |
1403 | int n_digits; | |
1404 | ||
1405 | { | |
1406 | long tn; | |
1407 | tn = (long) n; | |
f872b822 | 1408 | if ((long long) tn == n) |
0f2d19dd JB |
1409 | return scm_long2big (tn); |
1410 | } | |
1411 | ||
1412 | { | |
1413 | long_long tn; | |
1414 | ||
1415 | for (tn = n, n_digits = 0; | |
1416 | tn; | |
f872b822 | 1417 | ++n_digits, tn = SCM_BIGDN ((ulong_long) tn)) |
0f2d19dd JB |
1418 | ; |
1419 | } | |
1420 | ||
1421 | i = 0; | |
f872b822 MD |
1422 | ans = scm_mkbig (n_digits, n < 0); |
1423 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1424 | if (n < 0) |
1425 | n = -n; | |
f872b822 MD |
1426 | while (i < n_digits) |
1427 | { | |
1428 | digits[i++] = SCM_BIGLO (n); | |
1429 | n = SCM_BIGDN ((ulong_long) n); | |
1430 | } | |
0f2d19dd JB |
1431 | return ans; |
1432 | } | |
1433 | #endif | |
1434 | ||
1cc91f1b | 1435 | |
0f2d19dd | 1436 | SCM |
1bbd0b84 | 1437 | scm_2ulong2big (unsigned long *np) |
0f2d19dd JB |
1438 | { |
1439 | unsigned long n; | |
1440 | scm_sizet i; | |
1441 | SCM_BIGDIG *digits; | |
1442 | SCM ans; | |
1443 | ||
f872b822 MD |
1444 | ans = scm_mkbig (2 * SCM_DIGSPERLONG, 0); |
1445 | digits = SCM_BDIGITS (ans); | |
0f2d19dd JB |
1446 | |
1447 | n = np[0]; | |
1448 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1449 | { | |
f872b822 MD |
1450 | digits[i] = SCM_BIGLO (n); |
1451 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1452 | } |
1453 | n = np[1]; | |
1454 | for (i = 0; i < SCM_DIGSPERLONG; ++i) | |
1455 | { | |
f872b822 MD |
1456 | digits[i + SCM_DIGSPERLONG] = SCM_BIGLO (n); |
1457 | n = SCM_BIGDN ((unsigned long) n); | |
0f2d19dd JB |
1458 | } |
1459 | return ans; | |
1460 | } | |
1461 | ||
1462 | ||
1cc91f1b | 1463 | |
0f2d19dd | 1464 | SCM |
1bbd0b84 | 1465 | scm_ulong2big (unsigned long n) |
0f2d19dd JB |
1466 | { |
1467 | scm_sizet i = 0; | |
1468 | SCM_BIGDIG *digits; | |
f872b822 MD |
1469 | SCM ans = scm_mkbig (SCM_DIGSPERLONG, 0); |
1470 | digits = SCM_BDIGITS (ans); | |
1471 | while (i < SCM_DIGSPERLONG) | |
1472 | { | |
1473 | digits[i++] = SCM_BIGLO (n); | |
1474 | n = SCM_BIGDN (n); | |
1475 | } | |
0f2d19dd JB |
1476 | return ans; |
1477 | } | |
1478 | ||
1479 | ||
1cc91f1b | 1480 | |
0f2d19dd | 1481 | int |
1bbd0b84 | 1482 | scm_bigcomp (SCM x, SCM y) |
0f2d19dd | 1483 | { |
f872b822 MD |
1484 | int xsign = SCM_BIGSIGN (x); |
1485 | int ysign = SCM_BIGSIGN (y); | |
0f2d19dd | 1486 | scm_sizet xlen, ylen; |
2bf746cc JB |
1487 | |
1488 | /* Look at the signs, first. */ | |
f872b822 MD |
1489 | if (ysign < xsign) |
1490 | return 1; | |
1491 | if (ysign > xsign) | |
1492 | return -1; | |
2bf746cc JB |
1493 | |
1494 | /* They're the same sign, so see which one has more digits. Note | |
1495 | that, if they are negative, the longer number is the lesser. */ | |
f872b822 MD |
1496 | ylen = SCM_NUMDIGS (y); |
1497 | xlen = SCM_NUMDIGS (x); | |
2bf746cc JB |
1498 | if (ylen > xlen) |
1499 | return (xsign) ? -1 : 1; | |
f872b822 MD |
1500 | if (ylen < xlen) |
1501 | return (xsign) ? 1 : -1; | |
2bf746cc JB |
1502 | |
1503 | /* They have the same number of digits, so find the most significant | |
1504 | digit where they differ. */ | |
1505 | while (xlen) | |
1506 | { | |
1507 | --xlen; | |
1508 | if (SCM_BDIGITS (y)[xlen] != SCM_BDIGITS (x)[xlen]) | |
1509 | /* Make the discrimination based on the digit that differs. */ | |
f872b822 MD |
1510 | return ((SCM_BDIGITS (y)[xlen] > SCM_BDIGITS (x)[xlen]) |
1511 | ? (xsign ? -1 : 1) | |
1512 | : (xsign ? 1 : -1)); | |
2bf746cc JB |
1513 | } |
1514 | ||
1515 | /* The numbers are identical. */ | |
1516 | return 0; | |
0f2d19dd JB |
1517 | } |
1518 | ||
1519 | #ifndef SCM_DIGSTOOBIG | |
1520 | ||
1cc91f1b | 1521 | |
0f2d19dd | 1522 | long |
1bbd0b84 | 1523 | scm_pseudolong (long x) |
0f2d19dd | 1524 | { |
f872b822 MD |
1525 | union |
1526 | { | |
0f2d19dd JB |
1527 | long l; |
1528 | SCM_BIGDIG bd[SCM_DIGSPERLONG]; | |
f872b822 MD |
1529 | } |
1530 | p; | |
0f2d19dd | 1531 | scm_sizet i = 0; |
f872b822 MD |
1532 | if (x < 0) |
1533 | x = -x; | |
1534 | while (i < SCM_DIGSPERLONG) | |
1535 | { | |
1536 | p.bd[i++] = SCM_BIGLO (x); | |
1537 | x = SCM_BIGDN (x); | |
1538 | } | |
0f2d19dd JB |
1539 | /* p.bd[0] = SCM_BIGLO(x); p.bd[1] = SCM_BIGDN(x); */ |
1540 | return p.l; | |
1541 | } | |
1542 | ||
1543 | #else | |
1544 | ||
1cc91f1b | 1545 | |
0f2d19dd | 1546 | void |
1bbd0b84 | 1547 | scm_longdigs (long x, SCM_BIGDIG digs[]) |
0f2d19dd JB |
1548 | { |
1549 | scm_sizet i = 0; | |
f872b822 MD |
1550 | if (x < 0) |
1551 | x = -x; | |
1552 | while (i < SCM_DIGSPERLONG) | |
1553 | { | |
1554 | digs[i++] = SCM_BIGLO (x); | |
1555 | x = SCM_BIGDN (x); | |
1556 | } | |
0f2d19dd JB |
1557 | } |
1558 | #endif | |
1559 | ||
1560 | ||
1cc91f1b | 1561 | |
0f2d19dd | 1562 | SCM |
1bbd0b84 | 1563 | scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny) |
0f2d19dd JB |
1564 | { |
1565 | /* Assumes nx <= SCM_NUMDIGS(bigy) */ | |
f3ae5d60 | 1566 | /* Assumes xsgn and sgny scm_equal either 0 or SCM_BIGSIGNFLAG */ |
0f2d19dd | 1567 | long num = 0; |
f872b822 MD |
1568 | scm_sizet i = 0, ny = SCM_NUMDIGS (bigy); |
1569 | SCM z = scm_copybig (bigy, SCM_BIGSIGN (bigy) ^ sgny); | |
1570 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1571 | if (xsgn ^ SCM_BIGSIGN (z)) | |
1572 | { | |
1573 | do | |
1574 | { | |
1575 | num += (long) zds[i] - x[i]; | |
1576 | if (num < 0) | |
1577 | { | |
1578 | zds[i] = num + SCM_BIGRAD; | |
1579 | num = -1; | |
1580 | } | |
1581 | else | |
1582 | { | |
1583 | zds[i] = SCM_BIGLO (num); | |
1584 | num = 0; | |
1585 | } | |
1586 | } | |
1587 | while (++i < nx); | |
1588 | if (num && nx == ny) | |
1589 | { | |
1590 | num = 1; | |
1591 | i = 0; | |
4260a7fc | 1592 | SCM_SET_CELL_WORD_0 (z, SCM_CELL_WORD_0 (z) ^ SCM_BIGSIGNFLAG); |
f872b822 MD |
1593 | do |
1594 | { | |
1595 | num += (SCM_BIGRAD - 1) - zds[i]; | |
1596 | zds[i++] = SCM_BIGLO (num); | |
1597 | num = SCM_BIGDN (num); | |
1598 | } | |
1599 | while (i < ny); | |
1600 | } | |
1601 | else | |
1602 | while (i < ny) | |
1603 | { | |
1604 | num += zds[i]; | |
1605 | if (num < 0) | |
1606 | { | |
1607 | zds[i++] = num + SCM_BIGRAD; | |
1608 | num = -1; | |
1609 | } | |
1610 | else | |
1611 | { | |
1612 | zds[i++] = SCM_BIGLO (num); | |
1613 | num = 0; | |
1614 | } | |
1615 | } | |
1616 | } | |
1617 | else | |
1618 | { | |
1619 | do | |
1620 | { | |
1621 | num += (long) zds[i] + x[i]; | |
1622 | zds[i++] = SCM_BIGLO (num); | |
1623 | num = SCM_BIGDN (num); | |
1624 | } | |
1625 | while (i < nx); | |
1626 | if (!num) | |
1627 | return z; | |
1628 | while (i < ny) | |
1629 | { | |
1630 | num += zds[i]; | |
1631 | zds[i++] = SCM_BIGLO (num); | |
1632 | num = SCM_BIGDN (num); | |
1633 | if (!num) | |
1634 | return z; | |
1635 | } | |
1636 | if (num) | |
1637 | { | |
1638 | z = scm_adjbig (z, ny + 1); | |
1639 | SCM_BDIGITS (z)[ny] = num; | |
1640 | return z; | |
1641 | } | |
1642 | } | |
1643 | return scm_normbig (z); | |
0f2d19dd JB |
1644 | } |
1645 | ||
1cc91f1b | 1646 | |
0f2d19dd | 1647 | SCM |
1bbd0b84 | 1648 | scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn) |
0f2d19dd JB |
1649 | { |
1650 | scm_sizet i = 0, j = nx + ny; | |
1651 | unsigned long n = 0; | |
f872b822 MD |
1652 | SCM z = scm_mkbig (j, sgn); |
1653 | SCM_BIGDIG *zds = SCM_BDIGITS (z); | |
1654 | while (j--) | |
1655 | zds[j] = 0; | |
1656 | do | |
1657 | { | |
1658 | j = 0; | |
1659 | if (x[i]) | |
1660 | { | |
1661 | do | |
1662 | { | |
1663 | n += zds[i + j] + ((unsigned long) x[i] * y[j]); | |
1664 | zds[i + j++] = SCM_BIGLO (n); | |
1665 | n = SCM_BIGDN (n); | |
1666 | } | |
1667 | while (j < ny); | |
1668 | if (n) | |
1669 | { | |
1670 | zds[i + j] = n; | |
1671 | n = 0; | |
1672 | } | |
1673 | } | |
0f2d19dd | 1674 | } |
f872b822 MD |
1675 | while (++i < nx); |
1676 | return scm_normbig (z); | |
0f2d19dd JB |
1677 | } |
1678 | ||
1cc91f1b | 1679 | |
805df3e8 JB |
1680 | /* Sun's compiler complains about the fact that this function has an |
1681 | ANSI prototype in numbers.h, but a K&R declaration here, and the | |
1682 | two specify different promotions for the third argument. I'm going | |
1683 | to turn this into an ANSI declaration, and see if anyone complains | |
1684 | about it not being K&R. */ | |
1685 | ||
0f2d19dd | 1686 | unsigned int |
f872b822 MD |
1687 | scm_divbigdig (SCM_BIGDIG * ds, |
1688 | scm_sizet h, | |
1689 | SCM_BIGDIG div) | |
0f2d19dd JB |
1690 | { |
1691 | register unsigned long t2 = 0; | |
f872b822 MD |
1692 | while (h--) |
1693 | { | |
1694 | t2 = SCM_BIGUP (t2) + ds[h]; | |
1695 | ds[h] = t2 / div; | |
1696 | t2 %= div; | |
1697 | } | |
0f2d19dd JB |
1698 | return t2; |
1699 | } | |
1700 | ||
1701 | ||
1cc91f1b | 1702 | |
f4c627b3 | 1703 | static SCM |
1bbd0b84 | 1704 | scm_divbigint (SCM x, long z, int sgn, int mode) |
0f2d19dd | 1705 | { |
f872b822 MD |
1706 | if (z < 0) |
1707 | z = -z; | |
1708 | if (z < SCM_BIGRAD) | |
1709 | { | |
1710 | register unsigned long t2 = 0; | |
1711 | register SCM_BIGDIG *ds = SCM_BDIGITS (x); | |
1712 | scm_sizet nd = SCM_NUMDIGS (x); | |
1713 | while (nd--) | |
1714 | t2 = (SCM_BIGUP (t2) + ds[nd]) % z; | |
1715 | if (mode && t2) | |
1716 | t2 = z - t2; | |
1717 | return SCM_MAKINUM (sgn ? -t2 : t2); | |
1718 | } | |
0f2d19dd JB |
1719 | { |
1720 | #ifndef SCM_DIGSTOOBIG | |
f872b822 MD |
1721 | unsigned long t2 = scm_pseudolong (z); |
1722 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1723 | (SCM_BIGDIG *) & t2, SCM_DIGSPERLONG, | |
1724 | sgn, mode); | |
0f2d19dd JB |
1725 | #else |
1726 | SCM_BIGDIG t2[SCM_DIGSPERLONG]; | |
f872b822 MD |
1727 | scm_longdigs (z, t2); |
1728 | return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
1729 | t2, SCM_DIGSPERLONG, | |
1730 | sgn, mode); | |
0f2d19dd JB |
1731 | #endif |
1732 | } | |
1733 | } | |
1734 | ||
1cc91f1b | 1735 | |
f4c627b3 | 1736 | static SCM |
1bbd0b84 | 1737 | scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes) |
0f2d19dd JB |
1738 | { |
1739 | /* modes description | |
f872b822 MD |
1740 | 0 remainder |
1741 | 1 scm_modulo | |
1742 | 2 quotient | |
f4c627b3 | 1743 | 3 quotient but returns SCM_UNDEFINED if division is not exact. */ |
0f2d19dd JB |
1744 | scm_sizet i = 0, j = 0; |
1745 | long num = 0; | |
1746 | unsigned long t2 = 0; | |
1747 | SCM z, newy; | |
f872b822 | 1748 | SCM_BIGDIG d = 0, qhat, *zds, *yds; |
0f2d19dd JB |
1749 | /* algorithm requires nx >= ny */ |
1750 | if (nx < ny) | |
f872b822 MD |
1751 | switch (modes) |
1752 | { | |
1753 | case 0: /* remainder -- just return x */ | |
1754 | z = scm_mkbig (nx, sgn); | |
1755 | zds = SCM_BDIGITS (z); | |
1756 | do | |
1757 | { | |
1758 | zds[i] = x[i]; | |
1759 | } | |
1760 | while (++i < nx); | |
1761 | return z; | |
1762 | case 1: /* scm_modulo -- return y-x */ | |
1763 | z = scm_mkbig (ny, sgn); | |
1764 | zds = SCM_BDIGITS (z); | |
1765 | do | |
1766 | { | |
1767 | num += (long) y[i] - x[i]; | |
1768 | if (num < 0) | |
1769 | { | |
1770 | zds[i] = num + SCM_BIGRAD; | |
1771 | num = -1; | |
1772 | } | |
1773 | else | |
1774 | { | |
1775 | zds[i] = num; | |
1776 | num = 0; | |
1777 | } | |
1778 | } | |
1779 | while (++i < nx); | |
1780 | while (i < ny) | |
1781 | { | |
1782 | num += y[i]; | |
1783 | if (num < 0) | |
1784 | { | |
1785 | zds[i++] = num + SCM_BIGRAD; | |
1786 | num = -1; | |
1787 | } | |
1788 | else | |
1789 | { | |
1790 | zds[i++] = num; | |
1791 | num = 0; | |
1792 | } | |
1793 | } | |
1794 | goto doadj; | |
1795 | case 2: | |
1796 | return SCM_INUM0; /* quotient is zero */ | |
1797 | case 3: | |
f4c627b3 | 1798 | return SCM_UNDEFINED; /* the division is not exact */ |
0f2d19dd | 1799 | } |
f872b822 MD |
1800 | |
1801 | z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn); | |
1802 | zds = SCM_BDIGITS (z); | |
1803 | if (nx == ny) | |
1804 | zds[nx + 1] = 0; | |
1805 | while (!y[ny - 1]) | |
1806 | ny--; /* in case y came in as a psuedolong */ | |
1807 | if (y[ny - 1] < (SCM_BIGRAD >> 1)) | |
1808 | { /* normalize operands */ | |
1809 | d = SCM_BIGRAD / (y[ny - 1] + 1); | |
1810 | newy = scm_mkbig (ny, 0); | |
1811 | yds = SCM_BDIGITS (newy); | |
1812 | while (j < ny) | |
1813 | { | |
1814 | t2 += (unsigned long) y[j] * d; | |
1815 | yds[j++] = SCM_BIGLO (t2); | |
1816 | t2 = SCM_BIGDN (t2); | |
1817 | } | |
1818 | y = yds; | |
1819 | j = 0; | |
1820 | t2 = 0; | |
1821 | while (j < nx) | |
1822 | { | |
1823 | t2 += (unsigned long) x[j] * d; | |
1824 | zds[j++] = SCM_BIGLO (t2); | |
1825 | t2 = SCM_BIGDN (t2); | |
1826 | } | |
1827 | zds[j] = t2; | |
1828 | } | |
1829 | else | |
1830 | { | |
1831 | zds[j = nx] = 0; | |
1832 | while (j--) | |
1833 | zds[j] = x[j]; | |
1834 | } | |
1835 | j = nx == ny ? nx + 1 : nx; /* dividend needs more digits than divisor */ | |
1836 | do | |
1837 | { /* loop over digits of quotient */ | |
1838 | if (zds[j] == y[ny - 1]) | |
1839 | qhat = SCM_BIGRAD - 1; | |
1840 | else | |
1841 | qhat = (SCM_BIGUP (zds[j]) + zds[j - 1]) / y[ny - 1]; | |
1842 | if (!qhat) | |
1843 | continue; | |
1844 | i = 0; | |
1845 | num = 0; | |
1846 | t2 = 0; | |
1847 | do | |
1848 | { /* multiply and subtract */ | |
1849 | t2 += (unsigned long) y[i] * qhat; | |
1850 | num += zds[j - ny + i] - SCM_BIGLO (t2); | |
1851 | if (num < 0) | |
1852 | { | |
1853 | zds[j - ny + i] = num + SCM_BIGRAD; | |
1854 | num = -1; | |
1855 | } | |
1856 | else | |
1857 | { | |
1858 | zds[j - ny + i] = num; | |
1859 | num = 0; | |
1860 | } | |
1861 | t2 = SCM_BIGDN (t2); | |
1862 | } | |
1863 | while (++i < ny); | |
1864 | num += zds[j - ny + i] - t2; /* borrow from high digit; don't update */ | |
1865 | while (num) | |
1866 | { /* "add back" required */ | |
1867 | i = 0; | |
1868 | num = 0; | |
1869 | qhat--; | |
1870 | do | |
1871 | { | |
1872 | num += (long) zds[j - ny + i] + y[i]; | |
1873 | zds[j - ny + i] = SCM_BIGLO (num); | |
1874 | num = SCM_BIGDN (num); | |
1875 | } | |
1876 | while (++i < ny); | |
1877 | num--; | |
1878 | } | |
1879 | if (modes & 2) | |
1880 | zds[j] = qhat; | |
1881 | } | |
1882 | while (--j >= ny); | |
1883 | switch (modes) | |
1884 | { | |
1885 | case 3: /* check that remainder==0 */ | |
1886 | for (j = ny; j && !zds[j - 1]; --j); | |
1887 | if (j) | |
f4c627b3 | 1888 | return SCM_UNDEFINED; |
f872b822 MD |
1889 | case 2: /* move quotient down in z */ |
1890 | j = (nx == ny ? nx + 2 : nx + 1) - ny; | |
1891 | for (i = 0; i < j; i++) | |
1892 | zds[i] = zds[i + ny]; | |
1893 | ny = i; | |
1894 | break; | |
1895 | case 1: /* subtract for scm_modulo */ | |
1896 | i = 0; | |
1897 | num = 0; | |
1898 | j = 0; | |
1899 | do | |
1900 | { | |
1901 | num += y[i] - zds[i]; | |
1902 | j = j | zds[i]; | |
1903 | if (num < 0) | |
1904 | { | |
1905 | zds[i] = num + SCM_BIGRAD; | |
1906 | num = -1; | |
1907 | } | |
1908 | else | |
1909 | { | |
1910 | zds[i] = num; | |
1911 | num = 0; | |
1912 | } | |
1913 | } | |
1914 | while (++i < ny); | |
1915 | if (!j) | |
1916 | return SCM_INUM0; | |
1917 | case 0: /* just normalize remainder */ | |
1918 | if (d) | |
1919 | scm_divbigdig (zds, ny, d); | |
1920 | } | |
0f2d19dd | 1921 | doadj: |
f872b822 MD |
1922 | for (j = ny; j && !zds[j - 1]; --j); |
1923 | if (j * SCM_BITSPERDIG <= sizeof (SCM) * SCM_CHAR_BIT) | |
1924 | if (SCM_INUMP (z = scm_big2inum (z, j))) | |
1925 | return z; | |
1926 | return scm_adjbig (z, j); | |
0f2d19dd JB |
1927 | } |
1928 | #endif | |
f872b822 | 1929 | \f |
0f2d19dd JB |
1930 | |
1931 | ||
1932 | ||
0f2d19dd JB |
1933 | |
1934 | /*** NUMBERS -> STRINGS ***/ | |
0f2d19dd | 1935 | int scm_dblprec; |
e4755e5c | 1936 | static const double fx[] = |
f872b822 MD |
1937 | { 0.0, 5e-1, 5e-2, 5e-3, 5e-4, 5e-5, |
1938 | 5e-6, 5e-7, 5e-8, 5e-9, 5e-10, | |
1939 | 5e-11, 5e-12, 5e-13, 5e-14, 5e-15, | |
1940 | 5e-16, 5e-17, 5e-18, 5e-19, 5e-20}; | |
0f2d19dd JB |
1941 | |
1942 | ||
1943 | ||
1cc91f1b | 1944 | |
0f2d19dd | 1945 | static scm_sizet |
1bbd0b84 | 1946 | idbl2str (double f, char *a) |
0f2d19dd JB |
1947 | { |
1948 | int efmt, dpt, d, i, wp = scm_dblprec; | |
1949 | scm_sizet ch = 0; | |
1950 | int exp = 0; | |
1951 | ||
f872b822 MD |
1952 | if (f == 0.0) |
1953 | goto zero; /*{a[0]='0'; a[1]='.'; a[2]='0'; return 3;} */ | |
1954 | if (f < 0.0) | |
1955 | { | |
1956 | f = -f; | |
1957 | a[ch++] = '-'; | |
1958 | } | |
1959 | else if (f > 0.0); | |
1960 | else | |
1961 | goto funny; | |
1962 | if (IS_INF (f)) | |
1963 | { | |
1964 | if (ch == 0) | |
1965 | a[ch++] = '+'; | |
1966 | funny: | |
1967 | a[ch++] = '#'; | |
1968 | a[ch++] = '.'; | |
1969 | a[ch++] = '#'; | |
1970 | return ch; | |
1971 | } | |
1972 | #ifdef DBL_MIN_10_EXP /* Prevent unnormalized values, as from | |
1973 | make-uniform-vector, from causing infinite loops. */ | |
1974 | while (f < 1.0) | |
1975 | { | |
1976 | f *= 10.0; | |
1977 | if (exp-- < DBL_MIN_10_EXP) | |
1978 | goto funny; | |
1979 | } | |
1980 | while (f > 10.0) | |
1981 | { | |
1982 | f *= 0.10; | |
1983 | if (exp++ > DBL_MAX_10_EXP) | |
1984 | goto funny; | |
1985 | } | |
1986 | #else | |
1987 | while (f < 1.0) | |
1988 | { | |
1989 | f *= 10.0; | |
1990 | exp--; | |
1991 | } | |
1992 | while (f > 10.0) | |
1993 | { | |
1994 | f /= 10.0; | |
1995 | exp++; | |
1996 | } | |
1997 | #endif | |
1998 | if (f + fx[wp] >= 10.0) | |
1999 | { | |
2000 | f = 1.0; | |
2001 | exp++; | |
2002 | } | |
0f2d19dd | 2003 | zero: |
f872b822 MD |
2004 | #ifdef ENGNOT |
2005 | dpt = (exp + 9999) % 3; | |
0f2d19dd JB |
2006 | exp -= dpt++; |
2007 | efmt = 1; | |
f872b822 MD |
2008 | #else |
2009 | efmt = (exp < -3) || (exp > wp + 2); | |
0f2d19dd | 2010 | if (!efmt) |
cda139a7 MD |
2011 | { |
2012 | if (exp < 0) | |
2013 | { | |
2014 | a[ch++] = '0'; | |
2015 | a[ch++] = '.'; | |
2016 | dpt = exp; | |
f872b822 MD |
2017 | while (++dpt) |
2018 | a[ch++] = '0'; | |
cda139a7 MD |
2019 | } |
2020 | else | |
f872b822 | 2021 | dpt = exp + 1; |
cda139a7 | 2022 | } |
0f2d19dd JB |
2023 | else |
2024 | dpt = 1; | |
f872b822 MD |
2025 | #endif |
2026 | ||
2027 | do | |
2028 | { | |
2029 | d = f; | |
2030 | f -= d; | |
2031 | a[ch++] = d + '0'; | |
2032 | if (f < fx[wp]) | |
2033 | break; | |
2034 | if (f + fx[wp] >= 1.0) | |
2035 | { | |
2036 | a[ch - 1]++; | |
2037 | break; | |
2038 | } | |
2039 | f *= 10.0; | |
2040 | if (!(--dpt)) | |
2041 | a[ch++] = '.'; | |
0f2d19dd | 2042 | } |
f872b822 | 2043 | while (wp--); |
0f2d19dd JB |
2044 | |
2045 | if (dpt > 0) | |
cda139a7 | 2046 | { |
f872b822 | 2047 | #ifndef ENGNOT |
cda139a7 MD |
2048 | if ((dpt > 4) && (exp > 6)) |
2049 | { | |
f872b822 | 2050 | d = (a[0] == '-' ? 2 : 1); |
cda139a7 | 2051 | for (i = ch++; i > d; i--) |
f872b822 | 2052 | a[i] = a[i - 1]; |
cda139a7 MD |
2053 | a[d] = '.'; |
2054 | efmt = 1; | |
2055 | } | |
2056 | else | |
f872b822 | 2057 | #endif |
cda139a7 | 2058 | { |
f872b822 MD |
2059 | while (--dpt) |
2060 | a[ch++] = '0'; | |
cda139a7 MD |
2061 | a[ch++] = '.'; |
2062 | } | |
2063 | } | |
f872b822 MD |
2064 | if (a[ch - 1] == '.') |
2065 | a[ch++] = '0'; /* trailing zero */ | |
2066 | if (efmt && exp) | |
2067 | { | |
2068 | a[ch++] = 'e'; | |
2069 | if (exp < 0) | |
2070 | { | |
2071 | exp = -exp; | |
2072 | a[ch++] = '-'; | |
2073 | } | |
2074 | for (i = 10; i <= exp; i *= 10); | |
2075 | for (i /= 10; i; i /= 10) | |
2076 | { | |
2077 | a[ch++] = exp / i + '0'; | |
2078 | exp %= i; | |
2079 | } | |
0f2d19dd | 2080 | } |
0f2d19dd JB |
2081 | return ch; |
2082 | } | |
2083 | ||
1cc91f1b | 2084 | |
0f2d19dd | 2085 | static scm_sizet |
1bbd0b84 | 2086 | iflo2str (SCM flt, char *str) |
0f2d19dd JB |
2087 | { |
2088 | scm_sizet i; | |
f3ae5d60 MD |
2089 | if (SCM_SLOPPY_REALP (flt)) |
2090 | i = idbl2str (SCM_REAL_VALUE (flt), str); | |
0f2d19dd | 2091 | else |
f872b822 | 2092 | { |
f3ae5d60 MD |
2093 | i = idbl2str (SCM_COMPLEX_REAL (flt), str); |
2094 | if (SCM_COMPLEX_IMAG (flt) != 0.0) | |
2095 | { | |
2096 | if (0 <= SCM_COMPLEX_IMAG (flt)) | |
2097 | str[i++] = '+'; | |
2098 | i += idbl2str (SCM_COMPLEX_IMAG (flt), &str[i]); | |
2099 | str[i++] = 'i'; | |
2100 | } | |
f872b822 | 2101 | } |
0f2d19dd JB |
2102 | return i; |
2103 | } | |
0f2d19dd | 2104 | |
5c11cc9d | 2105 | /* convert a long to a string (unterminated). returns the number of |
1bbd0b84 GB |
2106 | characters in the result. |
2107 | rad is output base | |
2108 | p is destination: worst case (base 2) is SCM_INTBUFLEN */ | |
0f2d19dd | 2109 | scm_sizet |
1bbd0b84 | 2110 | scm_iint2str (long num, int rad, char *p) |
0f2d19dd | 2111 | { |
5c11cc9d GH |
2112 | scm_sizet j = 1; |
2113 | scm_sizet i; | |
2114 | unsigned long n = (num < 0) ? -num : num; | |
2115 | ||
f872b822 | 2116 | for (n /= rad; n > 0; n /= rad) |
5c11cc9d GH |
2117 | j++; |
2118 | ||
2119 | i = j; | |
2120 | if (num < 0) | |
f872b822 | 2121 | { |
f872b822 | 2122 | *p++ = '-'; |
5c11cc9d GH |
2123 | j++; |
2124 | n = -num; | |
f872b822 | 2125 | } |
5c11cc9d GH |
2126 | else |
2127 | n = num; | |
f872b822 MD |
2128 | while (i--) |
2129 | { | |
5c11cc9d GH |
2130 | int d = n % rad; |
2131 | ||
f872b822 MD |
2132 | n /= rad; |
2133 | p[i] = d + ((d < 10) ? '0' : 'a' - 10); | |
2134 | } | |
0f2d19dd JB |
2135 | return j; |
2136 | } | |
2137 | ||
2138 | ||
2139 | #ifdef SCM_BIGDIG | |
1cc91f1b | 2140 | |
0f2d19dd | 2141 | static SCM |
1bbd0b84 | 2142 | big2str (SCM b, unsigned int radix) |
0f2d19dd | 2143 | { |
f872b822 MD |
2144 | SCM t = scm_copybig (b, 0); /* sign of temp doesn't matter */ |
2145 | register SCM_BIGDIG *ds = SCM_BDIGITS (t); | |
2146 | scm_sizet i = SCM_NUMDIGS (t); | |
2147 | scm_sizet j = radix == 16 ? (SCM_BITSPERDIG * i) / 4 + 2 | |
2148 | : radix >= 10 ? (SCM_BITSPERDIG * i * 241L) / 800 + 2 | |
2149 | : (SCM_BITSPERDIG * i) + 2; | |
0f2d19dd JB |
2150 | scm_sizet k = 0; |
2151 | scm_sizet radct = 0; | |
2152 | scm_sizet ch; /* jeh */ | |
2153 | SCM_BIGDIG radpow = 1, radmod = 0; | |
f872b822 MD |
2154 | SCM ss = scm_makstr ((long) j, 0); |
2155 | char *s = SCM_CHARS (ss), c; | |
2156 | while ((long) radpow * radix < SCM_BIGRAD) | |
2157 | { | |
2158 | radpow *= radix; | |
2159 | radct++; | |
2160 | } | |
f3ae5d60 | 2161 | s[0] = SCM_BIGSIGN (b) ? '-' : '+'; |
f872b822 MD |
2162 | while ((i || radmod) && j) |
2163 | { | |
2164 | if (k == 0) | |
2165 | { | |
2166 | radmod = (SCM_BIGDIG) scm_divbigdig (ds, i, radpow); | |
2167 | k = radct; | |
2168 | if (!ds[i - 1]) | |
2169 | i--; | |
2170 | } | |
2171 | c = radmod % radix; | |
2172 | radmod /= radix; | |
2173 | k--; | |
2174 | s[--j] = c < 10 ? c + '0' : c + 'a' - 10; | |
2175 | } | |
0f2d19dd | 2176 | ch = s[0] == '-' ? 1 : 0; /* jeh */ |
f872b822 MD |
2177 | if (ch < j) |
2178 | { /* jeh */ | |
2179 | for (i = j; j < SCM_LENGTH (ss); j++) | |
2180 | s[ch + j - i] = s[j]; /* jeh */ | |
2181 | scm_vector_set_length_x (ss, /* jeh */ | |
4260a7fc | 2182 | SCM_MAKINUM (ch + SCM_LENGTH (ss) - i)); |
f872b822 | 2183 | } |
b098016b JB |
2184 | |
2185 | return scm_return_first (ss, t); | |
0f2d19dd JB |
2186 | } |
2187 | #endif | |
2188 | ||
2189 | ||
a1ec6916 | 2190 | SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0, |
1bbd0b84 | 2191 | (SCM x, SCM radix), |
b380b885 | 2192 | "") |
1bbd0b84 | 2193 | #define FUNC_NAME s_scm_number_to_string |
0f2d19dd | 2194 | { |
1bbd0b84 | 2195 | int base; |
3b3b36dd | 2196 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); |
f872b822 MD |
2197 | if (SCM_NINUMP (x)) |
2198 | { | |
2199 | char num_buf[SCM_FLOBUFLEN]; | |
2200 | #ifdef SCM_BIGDIG | |
2201 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
2202 | if (SCM_BIGP (x)) | |
1bbd0b84 | 2203 | return big2str (x, (unsigned int) base); |
f872b822 | 2204 | #ifndef SCM_RECKLESS |
f3ae5d60 | 2205 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 MD |
2206 | { |
2207 | badx: | |
4638e087 | 2208 | SCM_WTA (1, x); |
f872b822 MD |
2209 | } |
2210 | #endif | |
0f2d19dd | 2211 | #else |
f3ae5d60 | 2212 | SCM_ASSERT (SCM_SLOPPY_INEXACTP (x), |
f872b822 | 2213 | x, SCM_ARG1, s_number_to_string); |
0f2d19dd | 2214 | #endif |
f872b822 MD |
2215 | return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0); |
2216 | } | |
f872b822 MD |
2217 | { |
2218 | char num_buf[SCM_INTBUFLEN]; | |
2219 | return scm_makfromstr (num_buf, | |
2220 | scm_iint2str (SCM_INUM (x), | |
1bbd0b84 | 2221 | base, |
f872b822 MD |
2222 | num_buf), |
2223 | 0); | |
0f2d19dd JB |
2224 | } |
2225 | } | |
1bbd0b84 | 2226 | #undef FUNC_NAME |
0f2d19dd JB |
2227 | |
2228 | ||
2229 | /* These print routines are stubbed here so that scm_repl.c doesn't need | |
f3ae5d60 | 2230 | SCM_BIGDIG conditionals */ |
1cc91f1b | 2231 | |
0f2d19dd | 2232 | int |
f3ae5d60 | 2233 | scm_print_real (SCM sexp, SCM port, scm_print_state *pstate) |
0f2d19dd | 2234 | { |
0f2d19dd | 2235 | char num_buf[SCM_FLOBUFLEN]; |
f872b822 | 2236 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); |
0f2d19dd JB |
2237 | return !0; |
2238 | } | |
2239 | ||
f3ae5d60 MD |
2240 | int |
2241 | scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate) | |
2242 | { | |
2243 | char num_buf[SCM_FLOBUFLEN]; | |
2244 | scm_lfwrite (num_buf, iflo2str (sexp, num_buf), port); | |
2245 | return !0; | |
2246 | } | |
1cc91f1b | 2247 | |
0f2d19dd | 2248 | int |
1bbd0b84 | 2249 | scm_bigprint (SCM exp, SCM port, scm_print_state *pstate) |
0f2d19dd JB |
2250 | { |
2251 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2252 | exp = big2str (exp, (unsigned int) 10); |
2253 | scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port); | |
0f2d19dd | 2254 | #else |
f872b822 | 2255 | scm_ipruk ("bignum", exp, port); |
0f2d19dd JB |
2256 | #endif |
2257 | return !0; | |
2258 | } | |
2259 | /*** END nums->strs ***/ | |
2260 | ||
2261 | /*** STRINGS -> NUMBERS ***/ | |
2a8fecee JB |
2262 | |
2263 | static SCM | |
1bbd0b84 | 2264 | scm_small_istr2int (char *str, long len, long radix) |
2a8fecee JB |
2265 | { |
2266 | register long n = 0, ln; | |
2267 | register int c; | |
2268 | register int i = 0; | |
2269 | int lead_neg = 0; | |
f872b822 MD |
2270 | if (0 >= len) |
2271 | return SCM_BOOL_F; /* zero scm_length */ | |
2272 | switch (*str) | |
2273 | { /* leading sign */ | |
2274 | case '-': | |
2275 | lead_neg = 1; | |
2276 | case '+': | |
2277 | if (++i == len) | |
2278 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2279 | } | |
2a8fecee | 2280 | |
f872b822 MD |
2281 | do |
2282 | { | |
2283 | switch (c = str[i++]) | |
2284 | { | |
2285 | case DIGITS: | |
2286 | c = c - '0'; | |
2287 | goto accumulate; | |
2288 | case 'A': | |
2289 | case 'B': | |
2290 | case 'C': | |
2291 | case 'D': | |
2292 | case 'E': | |
2293 | case 'F': | |
2294 | c = c - 'A' + 10; | |
2295 | goto accumulate; | |
2296 | case 'a': | |
2297 | case 'b': | |
2298 | case 'c': | |
2299 | case 'd': | |
2300 | case 'e': | |
2301 | case 'f': | |
2302 | c = c - 'a' + 10; | |
2303 | accumulate: | |
2304 | if (c >= radix) | |
2305 | return SCM_BOOL_F; /* bad digit for radix */ | |
2306 | ln = n; | |
2307 | n = n * radix - c; | |
2308 | /* Negation is a workaround for HP700 cc bug */ | |
2309 | if (n > ln || (-n > -SCM_MOST_NEGATIVE_FIXNUM)) | |
2310 | goto ovfl; | |
2311 | break; | |
2312 | default: | |
2313 | return SCM_BOOL_F; /* not a digit */ | |
2314 | } | |
2a8fecee | 2315 | } |
f872b822 MD |
2316 | while (i < len); |
2317 | if (!lead_neg) | |
2318 | if ((n = -n) > SCM_MOST_POSITIVE_FIXNUM) | |
2319 | goto ovfl; | |
2320 | return SCM_MAKINUM (n); | |
2a8fecee JB |
2321 | ovfl: /* overflow scheme integer */ |
2322 | return SCM_BOOL_F; | |
2323 | } | |
2324 | ||
2325 | ||
1cc91f1b | 2326 | |
0f2d19dd | 2327 | SCM |
1bbd0b84 | 2328 | scm_istr2int (char *str, long len, long radix) |
0f2d19dd JB |
2329 | { |
2330 | scm_sizet j; | |
2331 | register scm_sizet k, blen = 1; | |
2332 | scm_sizet i = 0; | |
2333 | int c; | |
2334 | SCM res; | |
2335 | register SCM_BIGDIG *ds; | |
2336 | register unsigned long t2; | |
2337 | ||
f872b822 MD |
2338 | if (0 >= len) |
2339 | return SCM_BOOL_F; /* zero scm_length */ | |
2a8fecee JB |
2340 | |
2341 | /* Short numbers we parse directly into an int, to avoid the overhead | |
2342 | of creating a bignum. */ | |
2343 | if (len < 6) | |
2344 | return scm_small_istr2int (str, len, radix); | |
2345 | ||
f872b822 MD |
2346 | if (16 == radix) |
2347 | j = 1 + (4 * len * sizeof (char)) / (SCM_BITSPERDIG); | |
0f2d19dd | 2348 | else if (10 <= radix) |
f872b822 MD |
2349 | j = 1 + (84 * len * sizeof (char)) / (SCM_BITSPERDIG * 25); |
2350 | else | |
2351 | j = 1 + (len * sizeof (char)) / (SCM_BITSPERDIG); | |
2352 | switch (str[0]) | |
2353 | { /* leading sign */ | |
2354 | case '-': | |
2355 | case '+': | |
2356 | if (++i == (unsigned) len) | |
2357 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2358 | } | |
2359 | res = scm_mkbig (j, '-' == str[0]); | |
2360 | ds = SCM_BDIGITS (res); | |
2361 | for (k = j; k--;) | |
2362 | ds[k] = 0; | |
2363 | do | |
2364 | { | |
2365 | switch (c = str[i++]) | |
2366 | { | |
2367 | case DIGITS: | |
2368 | c = c - '0'; | |
2369 | goto accumulate; | |
2370 | case 'A': | |
2371 | case 'B': | |
2372 | case 'C': | |
2373 | case 'D': | |
2374 | case 'E': | |
2375 | case 'F': | |
2376 | c = c - 'A' + 10; | |
2377 | goto accumulate; | |
2378 | case 'a': | |
2379 | case 'b': | |
2380 | case 'c': | |
2381 | case 'd': | |
2382 | case 'e': | |
2383 | case 'f': | |
2384 | c = c - 'a' + 10; | |
2385 | accumulate: | |
2386 | if (c >= radix) | |
2387 | return SCM_BOOL_F; /* bad digit for radix */ | |
2388 | k = 0; | |
2389 | t2 = c; | |
2390 | moretodo: | |
2391 | while (k < blen) | |
2392 | { | |
2393 | /* printf ("k = %d, blen = %d, t2 = %ld, ds[k] = %d\n", k, blen, t2, ds[k]); */ | |
2394 | t2 += ds[k] * radix; | |
2395 | ds[k++] = SCM_BIGLO (t2); | |
2396 | t2 = SCM_BIGDN (t2); | |
2397 | } | |
2398 | if (blen > j) | |
2399 | scm_num_overflow ("bignum"); | |
2400 | if (t2) | |
2401 | { | |
2402 | blen++; | |
2403 | goto moretodo; | |
2404 | } | |
2405 | break; | |
2406 | default: | |
2407 | return SCM_BOOL_F; /* not a digit */ | |
2408 | } | |
0f2d19dd | 2409 | } |
f872b822 MD |
2410 | while (i < (unsigned) len); |
2411 | if (blen * SCM_BITSPERDIG / SCM_CHAR_BIT <= sizeof (SCM)) | |
2412 | if (SCM_INUMP (res = scm_big2inum (res, blen))) | |
2413 | return res; | |
2414 | if (j == blen) | |
2415 | return res; | |
2416 | return scm_adjbig (res, blen); | |
0f2d19dd | 2417 | } |
0f2d19dd | 2418 | |
0f2d19dd | 2419 | SCM |
1bbd0b84 | 2420 | scm_istr2flo (char *str, long len, long radix) |
0f2d19dd JB |
2421 | { |
2422 | register int c, i = 0; | |
2423 | double lead_sgn; | |
2424 | double res = 0.0, tmp = 0.0; | |
2425 | int flg = 0; | |
2426 | int point = 0; | |
2427 | SCM second; | |
2428 | ||
f872b822 MD |
2429 | if (i >= len) |
2430 | return SCM_BOOL_F; /* zero scm_length */ | |
0f2d19dd | 2431 | |
f872b822 MD |
2432 | switch (*str) |
2433 | { /* leading sign */ | |
2434 | case '-': | |
2435 | lead_sgn = -1.0; | |
2436 | i++; | |
2437 | break; | |
2438 | case '+': | |
2439 | lead_sgn = 1.0; | |
2440 | i++; | |
0f2d19dd JB |
2441 | break; |
2442 | default: | |
f872b822 | 2443 | lead_sgn = 0.0; |
0f2d19dd | 2444 | } |
f872b822 MD |
2445 | if (i == len) |
2446 | return SCM_BOOL_F; /* bad if lone `+' or `-' */ | |
2447 | ||
2448 | if (str[i] == 'i' || str[i] == 'I') | |
2449 | { /* handle `+i' and `-i' */ | |
2450 | if (lead_sgn == 0.0) | |
2451 | return SCM_BOOL_F; /* must have leading sign */ | |
2452 | if (++i < len) | |
2453 | return SCM_BOOL_F; /* `i' not last character */ | |
f8de44c1 | 2454 | return scm_make_complex (0.0, lead_sgn); |
f872b822 MD |
2455 | } |
2456 | do | |
2457 | { /* check initial digits */ | |
2458 | switch (c = str[i]) | |
2459 | { | |
2460 | case DIGITS: | |
2461 | c = c - '0'; | |
2462 | goto accum1; | |
2463 | case 'D': | |
2464 | case 'E': | |
2465 | case 'F': | |
2466 | if (radix == 10) | |
2467 | goto out1; /* must be exponent */ | |
2468 | case 'A': | |
2469 | case 'B': | |
2470 | case 'C': | |
2471 | c = c - 'A' + 10; | |
2472 | goto accum1; | |
2473 | case 'd': | |
2474 | case 'e': | |
2475 | case 'f': | |
2476 | if (radix == 10) | |
2477 | goto out1; | |
2478 | case 'a': | |
2479 | case 'b': | |
2480 | case 'c': | |
2481 | c = c - 'a' + 10; | |
2482 | accum1: | |
2483 | if (c >= radix) | |
2484 | return SCM_BOOL_F; /* bad digit for radix */ | |
2485 | res = res * radix + c; | |
2486 | flg = 1; /* res is valid */ | |
2487 | break; | |
2488 | default: | |
2489 | goto out1; | |
2490 | } | |
2491 | } | |
2492 | while (++i < len); | |
0f2d19dd JB |
2493 | out1: |
2494 | ||
2495 | /* if true, then we did see a digit above, and res is valid */ | |
f872b822 MD |
2496 | if (i == len) |
2497 | goto done; | |
0f2d19dd JB |
2498 | |
2499 | /* By here, must have seen a digit, | |
2500 | or must have next char be a `.' with radix==10 */ | |
2501 | if (!flg) | |
f872b822 | 2502 | if (!(str[i] == '.' && radix == 10)) |
0f2d19dd JB |
2503 | return SCM_BOOL_F; |
2504 | ||
f872b822 MD |
2505 | while (str[i] == '#') |
2506 | { /* optional sharps */ | |
2507 | res *= radix; | |
2508 | if (++i == len) | |
2509 | goto done; | |
0f2d19dd | 2510 | } |
0f2d19dd | 2511 | |
f872b822 MD |
2512 | if (str[i] == '/') |
2513 | { | |
2514 | while (++i < len) | |
2515 | { | |
2516 | switch (c = str[i]) | |
2517 | { | |
2518 | case DIGITS: | |
2519 | c = c - '0'; | |
2520 | goto accum2; | |
2521 | case 'A': | |
2522 | case 'B': | |
2523 | case 'C': | |
2524 | case 'D': | |
2525 | case 'E': | |
2526 | case 'F': | |
2527 | c = c - 'A' + 10; | |
2528 | goto accum2; | |
2529 | case 'a': | |
2530 | case 'b': | |
2531 | case 'c': | |
2532 | case 'd': | |
2533 | case 'e': | |
2534 | case 'f': | |
2535 | c = c - 'a' + 10; | |
2536 | accum2: | |
2537 | if (c >= radix) | |
2538 | return SCM_BOOL_F; | |
2539 | tmp = tmp * radix + c; | |
2540 | break; | |
2541 | default: | |
2542 | goto out2; | |
2543 | } | |
2544 | } | |
2545 | out2: | |
2546 | if (tmp == 0.0) | |
2547 | return SCM_BOOL_F; /* `slash zero' not allowed */ | |
2548 | if (i < len) | |
2549 | while (str[i] == '#') | |
2550 | { /* optional sharps */ | |
2551 | tmp *= radix; | |
2552 | if (++i == len) | |
2553 | break; | |
2554 | } | |
2555 | res /= tmp; | |
2556 | goto done; | |
0f2d19dd | 2557 | } |
f872b822 MD |
2558 | |
2559 | if (str[i] == '.') | |
2560 | { /* decimal point notation */ | |
2561 | if (radix != 10) | |
2562 | return SCM_BOOL_F; /* must be radix 10 */ | |
2563 | while (++i < len) | |
2564 | { | |
2565 | switch (c = str[i]) | |
2566 | { | |
2567 | case DIGITS: | |
2568 | point--; | |
2569 | res = res * 10.0 + c - '0'; | |
2570 | flg = 1; | |
2571 | break; | |
2572 | default: | |
2573 | goto out3; | |
2574 | } | |
2575 | } | |
2576 | out3: | |
2577 | if (!flg) | |
2578 | return SCM_BOOL_F; /* no digits before or after decimal point */ | |
2579 | if (i == len) | |
2580 | goto adjust; | |
2581 | while (str[i] == '#') | |
2582 | { /* ignore remaining sharps */ | |
2583 | if (++i == len) | |
2584 | goto adjust; | |
2585 | } | |
0f2d19dd | 2586 | } |
0f2d19dd | 2587 | |
f872b822 MD |
2588 | switch (str[i]) |
2589 | { /* exponent */ | |
2590 | case 'd': | |
2591 | case 'D': | |
2592 | case 'e': | |
2593 | case 'E': | |
2594 | case 'f': | |
2595 | case 'F': | |
2596 | case 'l': | |
2597 | case 'L': | |
2598 | case 's': | |
2599 | case 'S': | |
2600 | { | |
2601 | int expsgn = 1, expon = 0; | |
2602 | if (radix != 10) | |
2603 | return SCM_BOOL_F; /* only in radix 10 */ | |
2604 | if (++i == len) | |
2605 | return SCM_BOOL_F; /* bad exponent */ | |
2606 | switch (str[i]) | |
2607 | { | |
2608 | case '-': | |
2609 | expsgn = (-1); | |
2610 | case '+': | |
2611 | if (++i == len) | |
2612 | return SCM_BOOL_F; /* bad exponent */ | |
2613 | } | |
2614 | if (str[i] < '0' || str[i] > '9') | |
2615 | return SCM_BOOL_F; /* bad exponent */ | |
2616 | do | |
2617 | { | |
2618 | switch (c = str[i]) | |
2619 | { | |
2620 | case DIGITS: | |
2621 | expon = expon * 10 + c - '0'; | |
f3ae5d60 | 2622 | if (expon > SCM_MAXEXP) |
f872b822 MD |
2623 | return SCM_BOOL_F; /* exponent too large */ |
2624 | break; | |
2625 | default: | |
2626 | goto out4; | |
2627 | } | |
2628 | } | |
2629 | while (++i < len); | |
2630 | out4: | |
2631 | point += expsgn * expon; | |
0f2d19dd | 2632 | } |
f872b822 | 2633 | } |
0f2d19dd JB |
2634 | |
2635 | adjust: | |
2636 | if (point >= 0) | |
f872b822 MD |
2637 | while (point--) |
2638 | res *= 10.0; | |
0f2d19dd | 2639 | else |
f872b822 MD |
2640 | #ifdef _UNICOS |
2641 | while (point++) | |
2642 | res *= 0.1; | |
2643 | #else | |
2644 | while (point++) | |
2645 | res /= 10.0; | |
2646 | #endif | |
0f2d19dd JB |
2647 | |
2648 | done: | |
2649 | /* at this point, we have a legitimate floating point result */ | |
f872b822 MD |
2650 | if (lead_sgn == -1.0) |
2651 | res = -res; | |
2652 | if (i == len) | |
f8de44c1 | 2653 | return scm_make_real (res); |
f872b822 MD |
2654 | |
2655 | if (str[i] == 'i' || str[i] == 'I') | |
2656 | { /* pure imaginary number */ | |
2657 | if (lead_sgn == 0.0) | |
2658 | return SCM_BOOL_F; /* must have leading sign */ | |
2659 | if (++i < len) | |
2660 | return SCM_BOOL_F; /* `i' not last character */ | |
f8de44c1 | 2661 | return scm_make_complex (0.0, res); |
f872b822 | 2662 | } |
0f2d19dd | 2663 | |
f872b822 MD |
2664 | switch (str[i++]) |
2665 | { | |
2666 | case '-': | |
2667 | lead_sgn = -1.0; | |
2668 | break; | |
2669 | case '+': | |
2670 | lead_sgn = 1.0; | |
2671 | break; | |
2672 | case '@': | |
2673 | { /* polar input for complex number */ | |
2674 | /* get a `real' for scm_angle */ | |
2675 | second = scm_istr2flo (&str[i], (long) (len - i), radix); | |
f3ae5d60 | 2676 | if (!SCM_SLOPPY_INEXACTP (second)) |
f872b822 | 2677 | return SCM_BOOL_F; /* not `real' */ |
f3ae5d60 | 2678 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2679 | return SCM_BOOL_F; /* not `real' */ |
2680 | tmp = SCM_REALPART (second); | |
f8de44c1 | 2681 | return scm_make_complex (res * cos (tmp), res * sin (tmp)); |
f872b822 MD |
2682 | } |
2683 | default: | |
2684 | return SCM_BOOL_F; | |
2685 | } | |
0f2d19dd JB |
2686 | |
2687 | /* at this point, last char must be `i' */ | |
f872b822 MD |
2688 | if (str[len - 1] != 'i' && str[len - 1] != 'I') |
2689 | return SCM_BOOL_F; | |
0f2d19dd | 2690 | /* handles `x+i' and `x-i' */ |
f872b822 | 2691 | if (i == (len - 1)) |
f8de44c1 | 2692 | return scm_make_complex (res, lead_sgn); |
0f2d19dd | 2693 | /* get a `ureal' for complex part */ |
f872b822 | 2694 | second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix); |
f3ae5d60 | 2695 | if (!SCM_INEXACTP (second)) |
f872b822 | 2696 | return SCM_BOOL_F; /* not `ureal' */ |
f3ae5d60 | 2697 | if (SCM_SLOPPY_COMPLEXP (second)) |
f872b822 MD |
2698 | return SCM_BOOL_F; /* not `ureal' */ |
2699 | tmp = SCM_REALPART (second); | |
2700 | if (tmp < 0.0) | |
2701 | return SCM_BOOL_F; /* not `ureal' */ | |
f8de44c1 | 2702 | return scm_make_complex (res, (lead_sgn * tmp)); |
0f2d19dd | 2703 | } |
0f2d19dd JB |
2704 | |
2705 | ||
1cc91f1b | 2706 | |
0f2d19dd | 2707 | SCM |
1bbd0b84 | 2708 | scm_istring2number (char *str, long len, long radix) |
0f2d19dd JB |
2709 | { |
2710 | int i = 0; | |
2711 | char ex = 0; | |
2712 | char ex_p = 0, rx_p = 0; /* Only allow 1 exactness and 1 radix prefix */ | |
2713 | SCM res; | |
f872b822 MD |
2714 | if (len == 1) |
2715 | if (*str == '+' || *str == '-') /* Catches lone `+' and `-' for speed */ | |
0f2d19dd JB |
2716 | return SCM_BOOL_F; |
2717 | ||
f872b822 MD |
2718 | while ((len - i) >= 2 && str[i] == '#' && ++i) |
2719 | switch (str[i++]) | |
2720 | { | |
2721 | case 'b': | |
2722 | case 'B': | |
2723 | if (rx_p++) | |
2724 | return SCM_BOOL_F; | |
2725 | radix = 2; | |
2726 | break; | |
2727 | case 'o': | |
2728 | case 'O': | |
2729 | if (rx_p++) | |
2730 | return SCM_BOOL_F; | |
2731 | radix = 8; | |
2732 | break; | |
2733 | case 'd': | |
2734 | case 'D': | |
2735 | if (rx_p++) | |
2736 | return SCM_BOOL_F; | |
2737 | radix = 10; | |
2738 | break; | |
2739 | case 'x': | |
2740 | case 'X': | |
2741 | if (rx_p++) | |
2742 | return SCM_BOOL_F; | |
2743 | radix = 16; | |
2744 | break; | |
2745 | case 'i': | |
2746 | case 'I': | |
2747 | if (ex_p++) | |
2748 | return SCM_BOOL_F; | |
2749 | ex = 2; | |
2750 | break; | |
2751 | case 'e': | |
2752 | case 'E': | |
2753 | if (ex_p++) | |
2754 | return SCM_BOOL_F; | |
2755 | ex = 1; | |
2756 | break; | |
2757 | default: | |
2758 | return SCM_BOOL_F; | |
2759 | } | |
2760 | ||
2761 | switch (ex) | |
2762 | { | |
2763 | case 1: | |
2764 | return scm_istr2int (&str[i], len - i, radix); | |
2765 | case 0: | |
2766 | res = scm_istr2int (&str[i], len - i, radix); | |
2767 | if (SCM_NFALSEP (res)) | |
2768 | return res; | |
f872b822 MD |
2769 | case 2: |
2770 | return scm_istr2flo (&str[i], len - i, radix); | |
f872b822 | 2771 | } |
0f2d19dd JB |
2772 | return SCM_BOOL_F; |
2773 | } | |
2774 | ||
2775 | ||
a1ec6916 | 2776 | SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0, |
1bbd0b84 | 2777 | (SCM str, SCM radix), |
b380b885 | 2778 | "") |
1bbd0b84 | 2779 | #define FUNC_NAME s_scm_string_to_number |
0f2d19dd JB |
2780 | { |
2781 | SCM answer; | |
1bbd0b84 | 2782 | int base; |
3b3b36dd GB |
2783 | SCM_VALIDATE_ROSTRING (1,str); |
2784 | SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base); | |
f872b822 MD |
2785 | answer = scm_istring2number (SCM_ROCHARS (str), |
2786 | SCM_ROLENGTH (str), | |
1bbd0b84 | 2787 | base); |
0f2d19dd JB |
2788 | return scm_return_first (answer, str); |
2789 | } | |
1bbd0b84 | 2790 | #undef FUNC_NAME |
0f2d19dd JB |
2791 | /*** END strs->nums ***/ |
2792 | ||
0f2d19dd | 2793 | SCM |
f3ae5d60 | 2794 | scm_make_real (double x) |
0f2d19dd JB |
2795 | { |
2796 | SCM z; | |
f3ae5d60 | 2797 | SCM_NEWREAL (z, x); |
0f2d19dd JB |
2798 | return z; |
2799 | } | |
0f2d19dd | 2800 | |
f3ae5d60 MD |
2801 | SCM |
2802 | scm_make_complex (double x, double y) | |
2803 | { | |
2804 | SCM z; | |
2805 | SCM_NEWCOMPLEX (z, x, y); | |
2806 | return z; | |
2807 | } | |
1cc91f1b | 2808 | |
0f2d19dd | 2809 | SCM |
1bbd0b84 | 2810 | scm_bigequal (SCM x, SCM y) |
0f2d19dd JB |
2811 | { |
2812 | #ifdef SCM_BIGDIG | |
f872b822 MD |
2813 | if (0 == scm_bigcomp (x, y)) |
2814 | return SCM_BOOL_T; | |
0f2d19dd JB |
2815 | #endif |
2816 | return SCM_BOOL_F; | |
2817 | } | |
2818 | ||
0f2d19dd | 2819 | SCM |
f3ae5d60 | 2820 | scm_real_equalp (SCM x, SCM y) |
0f2d19dd | 2821 | { |
f3ae5d60 | 2822 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); |
0f2d19dd JB |
2823 | } |
2824 | ||
f3ae5d60 MD |
2825 | SCM |
2826 | scm_complex_equalp (SCM x, SCM y) | |
2827 | { | |
2828 | return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y) | |
2829 | && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)); | |
2830 | } | |
0f2d19dd JB |
2831 | |
2832 | ||
2833 | ||
1bbd0b84 | 2834 | SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p); |
1cc91f1b | 2835 | |
a1ec6916 | 2836 | SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0, |
1bbd0b84 | 2837 | (SCM x), |
b380b885 | 2838 | "") |
1bbd0b84 | 2839 | #define FUNC_NAME s_scm_number_p |
0f2d19dd | 2840 | { |
f872b822 MD |
2841 | if (SCM_INUMP (x)) |
2842 | return SCM_BOOL_T; | |
0c95b57d | 2843 | if (SCM_NUMP (x)) |
f872b822 | 2844 | return SCM_BOOL_T; |
0f2d19dd JB |
2845 | return SCM_BOOL_F; |
2846 | } | |
1bbd0b84 | 2847 | #undef FUNC_NAME |
0f2d19dd JB |
2848 | |
2849 | ||
2850 | ||
1bbd0b84 | 2851 | SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p); |
1cc91f1b | 2852 | |
1bbd0b84 | 2853 | |
a1ec6916 | 2854 | SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0, |
1bbd0b84 | 2855 | (SCM x), |
b380b885 | 2856 | "") |
1bbd0b84 | 2857 | #define FUNC_NAME s_scm_real_p |
0f2d19dd | 2858 | { |
f872b822 | 2859 | if (SCM_INUMP (x)) |
0f2d19dd | 2860 | return SCM_BOOL_T; |
f872b822 | 2861 | if (SCM_IMP (x)) |
0f2d19dd | 2862 | return SCM_BOOL_F; |
f3ae5d60 | 2863 | if (SCM_SLOPPY_REALP (x)) |
0f2d19dd | 2864 | return SCM_BOOL_T; |
f872b822 MD |
2865 | #ifdef SCM_BIGDIG |
2866 | if (SCM_BIGP (x)) | |
0f2d19dd | 2867 | return SCM_BOOL_T; |
f872b822 | 2868 | #endif |
0f2d19dd JB |
2869 | return SCM_BOOL_F; |
2870 | } | |
1bbd0b84 | 2871 | #undef FUNC_NAME |
0f2d19dd JB |
2872 | |
2873 | ||
2874 | ||
a1ec6916 | 2875 | SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0, |
1bbd0b84 | 2876 | (SCM x), |
b380b885 | 2877 | "") |
1bbd0b84 | 2878 | #define FUNC_NAME s_scm_integer_p |
0f2d19dd JB |
2879 | { |
2880 | double r; | |
f872b822 MD |
2881 | if (SCM_INUMP (x)) |
2882 | return SCM_BOOL_T; | |
2883 | if (SCM_IMP (x)) | |
2884 | return SCM_BOOL_F; | |
2885 | #ifdef SCM_BIGDIG | |
2886 | if (SCM_BIGP (x)) | |
2887 | return SCM_BOOL_T; | |
2888 | #endif | |
f3ae5d60 | 2889 | if (!SCM_SLOPPY_INEXACTP (x)) |
f872b822 | 2890 | return SCM_BOOL_F; |
f3ae5d60 | 2891 | if (SCM_SLOPPY_COMPLEXP (x)) |
f872b822 MD |
2892 | return SCM_BOOL_F; |
2893 | r = SCM_REALPART (x); | |
2894 | if (r == floor (r)) | |
2895 | return SCM_BOOL_T; | |
0f2d19dd JB |
2896 | return SCM_BOOL_F; |
2897 | } | |
1bbd0b84 | 2898 | #undef FUNC_NAME |
0f2d19dd JB |
2899 | |
2900 | ||
2901 | ||
a1ec6916 | 2902 | SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0, |
1bbd0b84 | 2903 | (SCM x), |
b380b885 | 2904 | "") |
1bbd0b84 | 2905 | #define FUNC_NAME s_scm_inexact_p |
0f2d19dd | 2906 | { |
f4c627b3 | 2907 | return SCM_BOOL (SCM_INEXACTP (x)); |
0f2d19dd | 2908 | } |
1bbd0b84 | 2909 | #undef FUNC_NAME |
0f2d19dd JB |
2910 | |
2911 | ||
152f82bf | 2912 | SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p); |
1cc91f1b | 2913 | |
0f2d19dd | 2914 | SCM |
6e8d25a6 | 2915 | scm_num_eq_p (SCM x, SCM y) |
0f2d19dd | 2916 | { |
f4c627b3 DH |
2917 | if (SCM_INUMP (x)) { |
2918 | long xx = SCM_INUM (x); | |
2919 | if (SCM_INUMP (y)) { | |
2920 | long yy = SCM_INUM (y); | |
2921 | return SCM_BOOL (xx == yy); | |
2922 | } else if (SCM_BIGP (y)) { | |
2923 | return SCM_BOOL_F; | |
2924 | } else if (SCM_REALP (y)) { | |
2925 | return SCM_BOOL ((double) xx == SCM_REAL_VALUE (y)); | |
2926 | } else if (SCM_COMPLEXP (y)) { | |
2927 | return SCM_BOOL (((double) xx == SCM_COMPLEX_REAL (y)) | |
2928 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
2929 | } else { | |
2930 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
f872b822 | 2931 | } |
f4c627b3 DH |
2932 | } else if (SCM_BIGP (x)) { |
2933 | if (SCM_INUMP (y)) { | |
2934 | return SCM_BOOL_F; | |
2935 | } else if (SCM_BIGP (y)) { | |
2936 | return SCM_BOOL (0 == scm_bigcomp (x, y)); | |
2937 | } else if (SCM_REALP (y)) { | |
2938 | return SCM_BOOL (scm_big2dbl (x) == SCM_REAL_VALUE (y)); | |
2939 | } else if (SCM_COMPLEXP (y)) { | |
2940 | return SCM_BOOL ((scm_big2dbl (x) == SCM_COMPLEX_REAL (y)) | |
2941 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
2942 | } else { | |
2943 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
2944 | } | |
2945 | } else if (SCM_REALP (x)) { | |
2946 | if (SCM_INUMP (y)) { | |
2947 | return SCM_BOOL (SCM_REAL_VALUE (x) == (double) SCM_INUM (y)); | |
2948 | } else if (SCM_BIGP (y)) { | |
2949 | return SCM_BOOL (SCM_REAL_VALUE (x) == scm_big2dbl (y)); | |
2950 | } else if (SCM_REALP (y)) { | |
2951 | return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y)); | |
2952 | } else if (SCM_COMPLEXP (y)) { | |
2953 | return SCM_BOOL ((SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y)) | |
2954 | && (0.0 == SCM_COMPLEX_IMAG (y))); | |
2955 | } else { | |
2956 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
f872b822 | 2957 | } |
f4c627b3 DH |
2958 | } else if (SCM_COMPLEXP (x)) { |
2959 | if (SCM_INUMP (y)) { | |
2960 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == (double) SCM_INUM (y)) | |
2961 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
2962 | } else if (SCM_BIGP (y)) { | |
2963 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == scm_big2dbl (y)) | |
2964 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
2965 | } else if (SCM_REALP (y)) { | |
2966 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y)) | |
2967 | && (SCM_COMPLEX_IMAG (x) == 0.0)); | |
2968 | } else if (SCM_COMPLEXP (y)) { | |
2969 | return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y)) | |
2970 | && (SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y))); | |
2971 | } else { | |
2972 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p); | |
2973 | } | |
2974 | } else { | |
2975 | SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p); | |
2976 | } | |
0f2d19dd JB |
2977 | } |
2978 | ||
2979 | ||
152f82bf | 2980 | SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p); |
1cc91f1b | 2981 | |
0f2d19dd | 2982 | SCM |
6e8d25a6 | 2983 | scm_less_p (SCM x, SCM y) |
0f2d19dd | 2984 | { |
f4c627b3 DH |
2985 | if (SCM_INUMP (x)) { |
2986 | long xx = SCM_INUM (x); | |
2987 | if (SCM_INUMP (y)) { | |
2988 | long yy = SCM_INUM (y); | |
2989 | return SCM_BOOL (xx < yy); | |
2990 | } else if (SCM_BIGP (y)) { | |
2991 | return SCM_BOOL (!SCM_BIGSIGN (y)); | |
2992 | } else if (SCM_REALP (y)) { | |
2993 | return SCM_BOOL ((double) xx < SCM_REAL_VALUE (y)); | |
2994 | } else { | |
2995 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
f872b822 | 2996 | } |
f4c627b3 DH |
2997 | } else if (SCM_BIGP (x)) { |
2998 | if (SCM_INUMP (y)) { | |
2999 | return SCM_BOOL (SCM_BIGSIGN (x)); | |
3000 | } else if (SCM_BIGP (y)) { | |
3001 | return SCM_BOOL (1 == scm_bigcomp (x, y)); | |
3002 | } else if (SCM_REALP (y)) { | |
3003 | return SCM_BOOL (scm_big2dbl (x) < SCM_REAL_VALUE (y)); | |
3004 | } else { | |
3005 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
3006 | } | |
3007 | } else if (SCM_REALP (x)) { | |
3008 | if (SCM_INUMP (y)) { | |
3009 | return SCM_BOOL (SCM_REAL_VALUE (x) < (double) SCM_INUM (y)); | |
3010 | } else if (SCM_BIGP (y)) { | |
3011 | return SCM_BOOL (SCM_REAL_VALUE (x) < scm_big2dbl (y)); | |
3012 | } else if (SCM_REALP (y)) { | |
3013 | return SCM_BOOL (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)); | |
3014 | } else { | |
3015 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p); | |
f872b822 | 3016 | } |
f4c627b3 DH |
3017 | } else { |
3018 | SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p); | |
3019 | } | |
0f2d19dd JB |
3020 | } |
3021 | ||
3022 | ||
c3ee7520 | 3023 | SCM_DEFINE1 (scm_gr_p, ">", scm_tc7_rpsubr, |
1bbd0b84 | 3024 | (SCM x, SCM y), |
b380b885 | 3025 | "") |
1bbd0b84 | 3026 | #define FUNC_NAME s_scm_gr_p |
0f2d19dd | 3027 | { |
f872b822 | 3028 | return scm_less_p (y, x); |
0f2d19dd | 3029 | } |
1bbd0b84 | 3030 | #undef FUNC_NAME |
0f2d19dd JB |
3031 | |
3032 | ||
c3ee7520 | 3033 | SCM_DEFINE1 (scm_leq_p, "<=", scm_tc7_rpsubr, |
1bbd0b84 | 3034 | (SCM x, SCM y), |
b380b885 | 3035 | "") |
1bbd0b84 | 3036 | #define FUNC_NAME s_scm_leq_p |
0f2d19dd | 3037 | { |
f872b822 | 3038 | return SCM_BOOL_NOT (scm_less_p (y, x)); |
0f2d19dd | 3039 | } |
1bbd0b84 | 3040 | #undef FUNC_NAME |
0f2d19dd JB |
3041 | |
3042 | ||
c3ee7520 | 3043 | SCM_DEFINE1 (scm_geq_p, ">=", scm_tc7_rpsubr, |
1bbd0b84 | 3044 | (SCM x, SCM y), |
b380b885 | 3045 | "") |
1bbd0b84 | 3046 | #define FUNC_NAME s_scm_geq_p |
0f2d19dd | 3047 | { |
f872b822 | 3048 | return SCM_BOOL_NOT (scm_less_p (x, y)); |
0f2d19dd | 3049 | } |
1bbd0b84 | 3050 | #undef FUNC_NAME |
0f2d19dd JB |
3051 | |
3052 | ||
152f82bf | 3053 | SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p); |
1cc91f1b | 3054 | |
0f2d19dd | 3055 | SCM |
6e8d25a6 | 3056 | scm_zero_p (SCM z) |
0f2d19dd | 3057 | { |
f872b822 MD |
3058 | if (SCM_NINUMP (z)) |
3059 | { | |
3060 | #ifdef SCM_BIGDIG | |
3061 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
3062 | if (SCM_BIGP (z)) | |
3063 | return SCM_BOOL_F; | |
f3ae5d60 | 3064 | if (!SCM_SLOPPY_INEXACTP (z)) |
f872b822 MD |
3065 | { |
3066 | badz: | |
152f82bf | 3067 | SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3068 | } |
0f2d19dd | 3069 | #else |
f3ae5d60 | 3070 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 3071 | g_zero_p, z, SCM_ARG1, s_zero_p); |
f872b822 | 3072 | #endif |
f3ae5d60 MD |
3073 | if (SCM_SLOPPY_REALP (z)) |
3074 | return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0); | |
3075 | else | |
3076 | return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0 | |
3077 | && SCM_COMPLEX_IMAG (z) == 0.0); | |
f872b822 | 3078 | } |
4260a7fc | 3079 | return SCM_BOOL (SCM_EQ_P (z, SCM_INUM0)); |
0f2d19dd JB |
3080 | } |
3081 | ||
3082 | ||
3083 | ||
152f82bf | 3084 | SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p); |
1cc91f1b | 3085 | |
0f2d19dd | 3086 | SCM |
6e8d25a6 | 3087 | scm_positive_p (SCM x) |
0f2d19dd | 3088 | { |
f872b822 MD |
3089 | if (SCM_NINUMP (x)) |
3090 | { | |
3091 | #ifdef SCM_BIGDIG | |
3092 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3093 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3094 | return SCM_BOOL (!SCM_BIGSIGN (x)); |
3095 | if (!SCM_SLOPPY_REALP (x)) | |
f872b822 MD |
3096 | { |
3097 | badx: | |
152f82bf | 3098 | SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3099 | } |
0f2d19dd | 3100 | #else |
f3ae5d60 | 3101 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3102 | g_positive_p, x, SCM_ARG1, s_positive_p); |
f872b822 | 3103 | #endif |
156dcb09 | 3104 | return SCM_BOOL(SCM_REALPART (x) > 0.0); |
f872b822 | 3105 | } |
c209c88e | 3106 | return SCM_BOOL(SCM_INUM(x) > 0); |
0f2d19dd JB |
3107 | } |
3108 | ||
3109 | ||
3110 | ||
152f82bf | 3111 | SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p); |
1cc91f1b | 3112 | |
0f2d19dd | 3113 | SCM |
6e8d25a6 | 3114 | scm_negative_p (SCM x) |
0f2d19dd | 3115 | { |
f872b822 MD |
3116 | if (SCM_NINUMP (x)) |
3117 | { | |
3118 | #ifdef SCM_BIGDIG | |
3119 | SCM_ASRTGO (SCM_NIMP (x), badx); | |
3120 | if (SCM_BIGP (x)) | |
f3ae5d60 MD |
3121 | return SCM_BOOL (SCM_BIGSIGN (x)); |
3122 | if (!(SCM_SLOPPY_REALP (x))) | |
f872b822 MD |
3123 | { |
3124 | badx: | |
152f82bf | 3125 | SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p); |
f872b822 | 3126 | } |
0f2d19dd | 3127 | #else |
f3ae5d60 | 3128 | SCM_GASSERT1 (SCM_SLOPPY_REALP (x), |
152f82bf | 3129 | g_negative_p, x, SCM_ARG1, s_negative_p); |
0f2d19dd | 3130 | #endif |
156dcb09 | 3131 | return SCM_BOOL(SCM_REALPART (x) < 0.0); |
f872b822 | 3132 | } |
c209c88e | 3133 | return SCM_BOOL(SCM_INUM(x) < 0); |
0f2d19dd JB |
3134 | } |
3135 | ||
3136 | ||
9de33deb | 3137 | SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max); |
1cc91f1b | 3138 | |
0f2d19dd | 3139 | SCM |
6e8d25a6 | 3140 | scm_max (SCM x, SCM y) |
0f2d19dd | 3141 | { |
f4c627b3 DH |
3142 | if (SCM_UNBNDP (y)) { |
3143 | if (SCM_UNBNDP (x)) { | |
3144 | SCM_WTA_DISPATCH_0 (g_max, x, SCM_ARG1, s_max); | |
3145 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3146 | return x; |
f4c627b3 DH |
3147 | } else { |
3148 | SCM_WTA_DISPATCH_1 (g_max, x, SCM_ARG1, s_max); | |
f872b822 | 3149 | } |
f4c627b3 DH |
3150 | } |
3151 | ||
3152 | if (SCM_INUMP (x)) { | |
3153 | long xx = SCM_INUM (x); | |
3154 | if (SCM_INUMP (y)) { | |
3155 | long yy = SCM_INUM (y); | |
3156 | return (xx < yy) ? y : x; | |
3157 | } else if (SCM_BIGP (y)) { | |
3158 | return SCM_BIGSIGN (y) ? x : y; | |
3159 | } else if (SCM_REALP (y)) { | |
3160 | double z = xx; | |
3161 | return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z); | |
3162 | } else { | |
3163 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
f872b822 | 3164 | } |
f4c627b3 DH |
3165 | } else if (SCM_BIGP (x)) { |
3166 | if (SCM_INUMP (y)) { | |
3167 | return SCM_BIGSIGN (x) ? y : x; | |
3168 | } else if (SCM_BIGP (y)) { | |
3169 | return (1 == scm_bigcomp (x, y)) ? y : x; | |
3170 | } else if (SCM_REALP (y)) { | |
3171 | double z = scm_big2dbl (x); | |
3172 | return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z); | |
3173 | } else { | |
3174 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
3175 | } | |
3176 | } else if (SCM_REALP (x)) { | |
3177 | if (SCM_INUMP (y)) { | |
3178 | double z = SCM_INUM (y); | |
3179 | return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x; | |
3180 | } else if (SCM_BIGP (y)) { | |
3181 | double z = scm_big2dbl (y); | |
3182 | return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x; | |
3183 | } else if (SCM_REALP (y)) { | |
3184 | return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? y : x; | |
3185 | } else { | |
3186 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max); | |
f872b822 | 3187 | } |
f4c627b3 DH |
3188 | } else { |
3189 | SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max); | |
3190 | } | |
0f2d19dd JB |
3191 | } |
3192 | ||
3193 | ||
9de33deb | 3194 | SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min); |
1cc91f1b | 3195 | |
0f2d19dd | 3196 | SCM |
6e8d25a6 | 3197 | scm_min (SCM x, SCM y) |
0f2d19dd | 3198 | { |
f4c627b3 DH |
3199 | if (SCM_UNBNDP (y)) { |
3200 | if (SCM_UNBNDP (x)) { | |
3201 | SCM_WTA_DISPATCH_0 (g_min, x, SCM_ARG1, s_min); | |
3202 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3203 | return x; |
f4c627b3 DH |
3204 | } else { |
3205 | SCM_WTA_DISPATCH_1 (g_min, x, SCM_ARG1, s_min); | |
f872b822 | 3206 | } |
f4c627b3 DH |
3207 | } |
3208 | ||
3209 | if (SCM_INUMP (x)) { | |
3210 | long xx = SCM_INUM (x); | |
3211 | if (SCM_INUMP (y)) { | |
3212 | long yy = SCM_INUM (y); | |
3213 | return (xx < yy) ? x : y; | |
3214 | } else if (SCM_BIGP (y)) { | |
3215 | return SCM_BIGSIGN (y) ? y : x; | |
3216 | } else if (SCM_REALP (y)) { | |
3217 | double z = xx; | |
3218 | return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y; | |
3219 | } else { | |
3220 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
f872b822 | 3221 | } |
f4c627b3 DH |
3222 | } else if (SCM_BIGP (x)) { |
3223 | if (SCM_INUMP (y)) { | |
3224 | return SCM_BIGSIGN (x) ? x : y; | |
3225 | } else if (SCM_BIGP (y)) { | |
3226 | return (-1 == scm_bigcomp (x, y)) ? y : x; | |
3227 | } else if (SCM_REALP (y)) { | |
3228 | double z = scm_big2dbl (x); | |
3229 | return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y; | |
3230 | } else { | |
3231 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
3232 | } | |
3233 | } else if (SCM_REALP (x)) { | |
3234 | if (SCM_INUMP (y)) { | |
3235 | double z = SCM_INUM (y); | |
3236 | return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z); | |
3237 | } else if (SCM_BIGP (y)) { | |
3238 | double z = scm_big2dbl (y); | |
3239 | return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z); | |
3240 | } else if (SCM_REALP (y)) { | |
3241 | return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? x : y; | |
3242 | } else { | |
3243 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min); | |
f872b822 | 3244 | } |
f4c627b3 DH |
3245 | } else { |
3246 | SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min); | |
3247 | } | |
0f2d19dd JB |
3248 | } |
3249 | ||
3250 | ||
9de33deb | 3251 | SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum); |
1cc91f1b | 3252 | |
c209c88e GB |
3253 | /* |
3254 | This is sick, sick, sick code. | |
3255 | ||
3256 | */ | |
0f2d19dd | 3257 | SCM |
6e8d25a6 | 3258 | scm_sum (SCM x, SCM y) |
0f2d19dd | 3259 | { |
f872b822 MD |
3260 | if (SCM_UNBNDP (y)) |
3261 | { | |
3262 | if (SCM_UNBNDP (x)) | |
3263 | return SCM_INUM0; | |
0e3aa89f | 3264 | SCM_GASSERT1 (SCM_NUMBERP (x), g_sum, x, SCM_ARG1, s_sum); |
f872b822 MD |
3265 | return x; |
3266 | } | |
f872b822 MD |
3267 | if (SCM_NINUMP (x)) |
3268 | { | |
c209c88e | 3269 | # ifdef SCM_BIGDIG |
0e3aa89f MD |
3270 | if (!SCM_NIMP (x)) |
3271 | { | |
3272 | badx2: | |
3273 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum); | |
3274 | } | |
f872b822 MD |
3275 | if (SCM_BIGP (x)) |
3276 | { | |
3277 | if (SCM_INUMP (y)) | |
3278 | { | |
c209c88e | 3279 | SCM_SWAP(x,y); |
f872b822 MD |
3280 | goto intbig; |
3281 | } | |
3282 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3283 | if (SCM_BIGP (y)) | |
3284 | { | |
3285 | if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) | |
3286 | { | |
c209c88e | 3287 | SCM_SWAP(x,y); |
f872b822 MD |
3288 | } |
3289 | return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3290 | SCM_BIGSIGN (x), | |
3291 | y, 0); | |
3292 | } | |
f3ae5d60 | 3293 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3294 | bigreal: |
f3ae5d60 MD |
3295 | if (SCM_SLOPPY_REALP (y)) |
3296 | return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y)); | |
3297 | else | |
3298 | return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y), | |
3299 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3300 | } |
c209c88e | 3301 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3302 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
c209c88e | 3303 | |
f872b822 MD |
3304 | if (SCM_INUMP (y)) |
3305 | { | |
c209c88e | 3306 | SCM_SWAP(x,y); |
f872b822 MD |
3307 | goto intreal; |
3308 | } | |
c209c88e | 3309 | # ifdef SCM_BIGDIG |
f872b822 MD |
3310 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3311 | if (SCM_BIGP (y)) | |
3312 | { | |
c209c88e | 3313 | SCM_SWAP(x,y); |
f872b822 MD |
3314 | goto bigreal; |
3315 | } | |
f3ae5d60 | 3316 | else if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3317 | { |
3318 | bady: | |
9de33deb | 3319 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3320 | } |
c209c88e | 3321 | # else /* SCM_BIGDIG */ |
f3ae5d60 | 3322 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3323 | { |
3324 | bady: | |
9de33deb | 3325 | SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum); |
f872b822 | 3326 | } |
c209c88e | 3327 | # endif /* SCM_BIGDIG */ |
f872b822 MD |
3328 | { |
3329 | double i = 0.0; | |
f3ae5d60 MD |
3330 | if (SCM_SLOPPY_COMPLEXP (x)) |
3331 | i = SCM_COMPLEX_IMAG (x); | |
3332 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3333 | i += SCM_COMPLEX_IMAG (y); | |
f8de44c1 | 3334 | return scm_make_complex (SCM_REALPART (x) + SCM_REALPART (y), i); |
0f2d19dd | 3335 | } |
f872b822 MD |
3336 | } |
3337 | if (SCM_NINUMP (y)) | |
3338 | { | |
c209c88e | 3339 | # ifdef SCM_BIGDIG |
f872b822 MD |
3340 | SCM_ASRTGO (SCM_NIMP (y), bady); |
3341 | if (SCM_BIGP (y)) | |
3342 | { | |
3343 | intbig: | |
3344 | { | |
f81e080b | 3345 | long i = SCM_INUM (x); |
c209c88e | 3346 | # ifndef SCM_DIGSTOOBIG |
f81e080b | 3347 | long z = scm_pseudolong (i); |
f872b822 MD |
3348 | return scm_addbig ((SCM_BIGDIG *) & z, |
3349 | SCM_DIGSPERLONG, | |
f81e080b | 3350 | (i < 0) ? SCM_BIGSIGNFLAG : 0, |
f872b822 | 3351 | y, 0); |
c209c88e | 3352 | # else /* SCM_DIGSTOOBIG */ |
f872b822 | 3353 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
f81e080b DH |
3354 | scm_longdigs (i, zdigs); |
3355 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (i < 0) ? SCM_BIGSIGNFLAG : 0, | |
f872b822 | 3356 | y, 0); |
c209c88e | 3357 | # endif /* SCM_DIGSTOOBIG */ |
f872b822 MD |
3358 | } |
3359 | } | |
c209c88e | 3360 | # endif /* SCM_BIGDIG */ |
f3ae5d60 | 3361 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
f872b822 | 3362 | intreal: |
f3ae5d60 MD |
3363 | if (SCM_REALP (y)) |
3364 | return scm_make_real (SCM_INUM (x) + SCM_REAL_VALUE (y)); | |
3365 | else | |
3366 | return scm_make_complex (SCM_INUM (x) + SCM_COMPLEX_REAL (y), | |
3367 | SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3368 | } |
c209c88e GB |
3369 | { /* scope */ |
3370 | long int i = SCM_INUM (x) + SCM_INUM (y); | |
3371 | if (SCM_FIXABLE (i)) | |
3372 | return SCM_MAKINUM (i); | |
0f2d19dd | 3373 | #ifdef SCM_BIGDIG |
c209c88e GB |
3374 | return scm_long2big (i); |
3375 | #else /* SCM_BIGDIG */ | |
f8de44c1 | 3376 | return scm_make_real ((double) i); |
c209c88e GB |
3377 | #endif /* SCM_BIGDIG */ |
3378 | } /* end scope */ | |
0f2d19dd JB |
3379 | } |
3380 | ||
3381 | ||
3382 | ||
3383 | ||
9de33deb | 3384 | SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference); |
1cc91f1b | 3385 | |
c209c88e GB |
3386 | /* |
3387 | HWN:FIXME:: This is sick,sick, sick code. Rewrite me. | |
3388 | */ | |
0f2d19dd | 3389 | SCM |
6e8d25a6 | 3390 | scm_difference (SCM x, SCM y) |
0f2d19dd | 3391 | { |
c209c88e | 3392 | long int cx = 0; |
f872b822 MD |
3393 | if (SCM_NINUMP (x)) |
3394 | { | |
c209c88e | 3395 | if (!SCM_NIMP (x)) |
f872b822 | 3396 | { |
0e3aa89f MD |
3397 | if (SCM_UNBNDP (y)) |
3398 | { | |
73ef98d6 MD |
3399 | SCM_GASSERT0 (!SCM_UNBNDP (x), g_difference, |
3400 | scm_makfrom0str (s_difference), SCM_WNA, 0); | |
0e3aa89f MD |
3401 | badx: |
3402 | SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference); | |
3403 | } | |
3404 | else | |
3405 | { | |
3406 | badx2: | |
3407 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference); | |
3408 | } | |
f872b822 | 3409 | } |
f872b822 MD |
3410 | if (SCM_UNBNDP (y)) |
3411 | { | |
3412 | #ifdef SCM_BIGDIG | |
3413 | if (SCM_BIGP (x)) | |
3414 | { | |
3415 | x = scm_copybig (x, !SCM_BIGSIGN (x)); | |
3416 | return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT | |
3417 | <= sizeof (SCM) | |
3418 | ? scm_big2inum (x, SCM_NUMDIGS (x)) | |
3419 | : x); | |
3420 | } | |
3421 | #endif | |
f3ae5d60 MD |
3422 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx); |
3423 | if (SCM_SLOPPY_REALP (x)) | |
3424 | return scm_make_real (- SCM_REAL_VALUE (x)); | |
3425 | else | |
3426 | return scm_make_complex (- SCM_COMPLEX_REAL (x), | |
3427 | - SCM_COMPLEX_IMAG (x)); | |
f872b822 MD |
3428 | } |
3429 | if (SCM_INUMP (y)) | |
3430 | return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y))); | |
3431 | #ifdef SCM_BIGDIG | |
3432 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3433 | if (SCM_BIGP (x)) | |
3434 | { | |
3435 | if (SCM_BIGP (y)) | |
3436 | return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y)) | |
3437 | ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3438 | SCM_BIGSIGN (x), | |
f3ae5d60 | 3439 | y, SCM_BIGSIGNFLAG) |
f872b822 | 3440 | : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y), |
f3ae5d60 | 3441 | SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, |
f872b822 | 3442 | x, 0)); |
f3ae5d60 MD |
3443 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3444 | if (SCM_REALP (y)) | |
3445 | return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y)); | |
3446 | else | |
3447 | return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y), | |
3448 | - SCM_COMPLEX_IMAG (y)); | |
f872b822 | 3449 | } |
f3ae5d60 | 3450 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); |
f872b822 | 3451 | if (SCM_BIGP (y)) |
f872b822 | 3452 | { |
f3ae5d60 MD |
3453 | if (SCM_REALP (x)) |
3454 | return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y)); | |
f872b822 | 3455 | else |
f3ae5d60 MD |
3456 | return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y), |
3457 | SCM_COMPLEX_IMAG (x)); | |
f872b822 | 3458 | } |
f3ae5d60 MD |
3459 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); |
3460 | #else | |
3461 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2); | |
3462 | SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady); | |
3463 | #endif | |
3464 | { | |
3465 | SCM z; | |
3466 | if (SCM_SLOPPY_COMPLEXP (x)) | |
3467 | { | |
3468 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3469 | SCM_NEWCOMPLEX (z, | |
3470 | SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y), | |
3471 | SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y)); | |
3472 | else | |
3473 | SCM_NEWCOMPLEX (z, | |
3474 | SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y), | |
3475 | SCM_COMPLEX_IMAG (x)); | |
3476 | } | |
3477 | else | |
3478 | { | |
3479 | if (SCM_SLOPPY_COMPLEXP (y)) | |
3480 | SCM_NEWCOMPLEX (z, | |
3481 | SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y), | |
3482 | - SCM_COMPLEX_IMAG (y)); | |
3483 | else | |
3484 | SCM_NEWREAL (z, SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y)); | |
3485 | } | |
3486 | return z; | |
3487 | } | |
f872b822 MD |
3488 | } |
3489 | if (SCM_UNBNDP (y)) | |
3490 | { | |
c209c88e | 3491 | cx = -SCM_INUM (x); |
f872b822 MD |
3492 | goto checkx; |
3493 | } | |
3494 | if (SCM_NINUMP (y)) | |
3495 | { | |
3496 | #ifdef SCM_BIGDIG | |
3497 | SCM_ASRTGO (SCM_NIMP (y), bady); | |
3498 | if (SCM_BIGP (y)) | |
3499 | { | |
f81e080b | 3500 | long i = SCM_INUM (x); |
f872b822 | 3501 | #ifndef SCM_DIGSTOOBIG |
f81e080b | 3502 | long z = scm_pseudolong (i); |
f872b822 | 3503 | return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, |
f81e080b | 3504 | (i < 0) ? SCM_BIGSIGNFLAG : 0, |
f3ae5d60 | 3505 | y, SCM_BIGSIGNFLAG); |
f872b822 MD |
3506 | #else |
3507 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; | |
f81e080b DH |
3508 | scm_longdigs (i, zdigs); |
3509 | return scm_addbig (zdigs, SCM_DIGSPERLONG, (i < 0) ? SCM_BIGSIGNFLAG : 0, | |
f3ae5d60 | 3510 | y, SCM_BIGSIGNFLAG); |
f872b822 MD |
3511 | #endif |
3512 | } | |
f3ae5d60 | 3513 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3514 | { |
3515 | bady: | |
9de33deb | 3516 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3517 | } |
f872b822 | 3518 | #else |
f3ae5d60 | 3519 | if (!SCM_SLOPPY_INEXACTP (y)) |
f872b822 MD |
3520 | { |
3521 | bady: | |
9de33deb | 3522 | SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference); |
f872b822 | 3523 | } |
f872b822 | 3524 | #endif |
f8de44c1 DH |
3525 | if (SCM_SLOPPY_COMPLEXP (y)) { |
3526 | return scm_make_complex (SCM_INUM (x) - SCM_COMPLEX_REAL (y), | |
3527 | -SCM_COMPLEX_IMAG (y)); | |
3528 | } else { | |
3529 | return scm_make_real (SCM_INUM (x) - SCM_REAL_VALUE (y)); | |
3530 | } | |
f872b822 | 3531 | } |
c209c88e | 3532 | cx = SCM_INUM (x) - SCM_INUM (y); |
0f2d19dd | 3533 | checkx: |
c209c88e GB |
3534 | if (SCM_FIXABLE (cx)) |
3535 | return SCM_MAKINUM (cx); | |
0f2d19dd | 3536 | #ifdef SCM_BIGDIG |
c209c88e | 3537 | return scm_long2big (cx); |
f872b822 | 3538 | #else |
f8de44c1 | 3539 | return scm_make_real ((double) cx); |
0f2d19dd JB |
3540 | #endif |
3541 | } | |
3542 | ||
3543 | ||
9de33deb | 3544 | SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product); |
1cc91f1b | 3545 | |
0f2d19dd | 3546 | SCM |
6e8d25a6 | 3547 | scm_product (SCM x, SCM y) |
0f2d19dd | 3548 | { |
f4c627b3 DH |
3549 | if (SCM_UNBNDP (y)) { |
3550 | if (SCM_UNBNDP (x)) { | |
3551 | return SCM_MAKINUM (1L); | |
3552 | } else if (SCM_NUMBERP (x)) { | |
f872b822 | 3553 | return x; |
f4c627b3 DH |
3554 | } else { |
3555 | SCM_WTA_DISPATCH_1 (g_product, x, SCM_ARG1, s_product); | |
f872b822 | 3556 | } |
f4c627b3 DH |
3557 | } |
3558 | ||
3559 | if (SCM_INUMP (x)) { | |
3560 | long xx; | |
3561 | ||
3562 | intbig: | |
3563 | xx = SCM_INUM (x); | |
3564 | ||
3565 | if (xx == 0) { | |
f872b822 | 3566 | return x; |
f4c627b3 DH |
3567 | } else if (xx == 1) { |
3568 | return y; | |
3569 | } | |
3570 | ||
3571 | if (SCM_INUMP (y)) { | |
3572 | long yy = SCM_INUM (y); | |
3573 | long kk = xx * yy; | |
3574 | SCM k = SCM_MAKINUM (kk); | |
3575 | if (kk != SCM_INUM (k) || kk / xx != yy) { | |
f872b822 | 3576 | #ifdef SCM_BIGDIG |
f4c627b3 | 3577 | int sgn = (xx < 0) ^ (yy < 0); |
f872b822 | 3578 | #ifndef SCM_DIGSTOOBIG |
f4c627b3 DH |
3579 | long i = scm_pseudolong (xx); |
3580 | long j = scm_pseudolong (yy); | |
f872b822 MD |
3581 | return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG, |
3582 | (SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn); | |
3583 | #else /* SCM_DIGSTOOBIG */ | |
f4c627b3 DH |
3584 | SCM_BIGDIG xdigs [SCM_DIGSPERLONG]; |
3585 | SCM_BIGDIG ydigs [SCM_DIGSPERLONG]; | |
3586 | scm_longdigs (xx, xdigs); | |
3587 | scm_longdigs (yy, ydigs); | |
3588 | return scm_mulbig (xdigs, SCM_DIGSPERLONG, | |
3589 | ydigs, SCM_DIGSPERLONG, | |
f872b822 MD |
3590 | sgn); |
3591 | #endif | |
f4c627b3 DH |
3592 | #else |
3593 | return scm_make_real (((double) xx) * ((double) yy)); | |
3594 | #endif | |
3595 | } else { | |
3596 | return k; | |
0f2d19dd | 3597 | } |
f4c627b3 DH |
3598 | } else if (SCM_BIGP (y)) { |
3599 | #ifndef SCM_DIGSTOOBIG | |
3600 | long z = scm_pseudolong (xx); | |
3601 | return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3602 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3603 | SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)); | |
0f2d19dd | 3604 | #else |
f4c627b3 DH |
3605 | SCM_BIGDIG zdigs [SCM_DIGSPERLONG]; |
3606 | scm_longdigs (xx, zdigs); | |
3607 | return scm_mulbig (zdigs, SCM_DIGSPERLONG, | |
3608 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3609 | SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)); | |
0f2d19dd | 3610 | #endif |
f4c627b3 DH |
3611 | } else if (SCM_REALP (y)) { |
3612 | return scm_make_real (xx * SCM_REAL_VALUE (y)); | |
3613 | } else if (SCM_COMPLEXP (y)) { | |
3614 | return scm_make_complex (xx * SCM_COMPLEX_REAL (y), | |
3615 | xx * SCM_COMPLEX_IMAG (y)); | |
3616 | } else { | |
3617 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3618 | } | |
3619 | } else if (SCM_BIGP (x)) { | |
3620 | if (SCM_INUMP (y)) { | |
3621 | SCM_SWAP (x, y); | |
3622 | goto intbig; | |
3623 | } else if (SCM_BIGP (y)) { | |
3624 | return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3625 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3626 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)); | |
3627 | } else if (SCM_REALP (y)) { | |
3628 | return scm_make_real (scm_big2dbl (x) * SCM_REAL_VALUE (y)); | |
3629 | } else if (SCM_COMPLEXP (y)) { | |
3630 | double z = scm_big2dbl (x); | |
3631 | return scm_make_complex (z * SCM_COMPLEX_REAL (y), | |
3632 | z * SCM_COMPLEX_IMAG (y)); | |
3633 | } else { | |
3634 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3635 | } | |
3636 | } else if (SCM_REALP (x)) { | |
3637 | if (SCM_INUMP (y)) { | |
3638 | return scm_make_real (SCM_INUM (y) * SCM_REAL_VALUE (x)); | |
3639 | } else if (SCM_BIGP (y)) { | |
3640 | return scm_make_real (scm_big2dbl (y) * SCM_REAL_VALUE (x)); | |
3641 | } else if (SCM_REALP (y)) { | |
3642 | return scm_make_real (SCM_REAL_VALUE (x) * SCM_REAL_VALUE (y)); | |
3643 | } else if (SCM_COMPLEXP (y)) { | |
3644 | return scm_make_complex (SCM_REAL_VALUE (x) * SCM_COMPLEX_REAL (y), | |
3645 | SCM_REAL_VALUE (x) * SCM_COMPLEX_IMAG (y)); | |
3646 | } else { | |
3647 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3648 | } | |
3649 | } else if (SCM_COMPLEXP (x)) { | |
3650 | if (SCM_INUMP (y)) { | |
3651 | return scm_make_complex (SCM_INUM (y) * SCM_COMPLEX_REAL (x), | |
3652 | SCM_INUM (y) * SCM_COMPLEX_IMAG (x)); | |
3653 | } else if (SCM_BIGP (y)) { | |
3654 | double z = scm_big2dbl (y); | |
3655 | return scm_make_complex (z * SCM_COMPLEX_REAL (x), | |
3656 | z * SCM_COMPLEX_IMAG (x)); | |
3657 | } else if (SCM_REALP (y)) { | |
3658 | return scm_make_complex (SCM_REAL_VALUE (y) * SCM_COMPLEX_REAL (x), | |
3659 | SCM_REAL_VALUE (y) * SCM_COMPLEX_IMAG (x)); | |
3660 | } else if (SCM_COMPLEXP (y)) { | |
3661 | return scm_make_complex (SCM_COMPLEX_REAL (x) * SCM_COMPLEX_REAL (y) | |
3662 | - SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_IMAG (y), | |
3663 | SCM_COMPLEX_REAL (x) * SCM_COMPLEX_IMAG (y) | |
3664 | + SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_REAL (y)); | |
3665 | } else { | |
3666 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product); | |
3667 | } | |
3668 | } else { | |
3669 | SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product); | |
0f2d19dd JB |
3670 | } |
3671 | } | |
3672 | ||
3673 | ||
0f2d19dd | 3674 | double |
6e8d25a6 | 3675 | scm_num2dbl (SCM a, const char *why) |
f4c627b3 | 3676 | #define FUNC_NAME why |
0f2d19dd | 3677 | { |
f4c627b3 | 3678 | if (SCM_INUMP (a)) { |
0f2d19dd | 3679 | return (double) SCM_INUM (a); |
f4c627b3 DH |
3680 | } else if (SCM_BIGP (a)) { |
3681 | return scm_big2dbl (a); | |
3682 | } else if (SCM_REALP (a)) { | |
3683 | return (SCM_REAL_VALUE (a)); | |
3684 | } else { | |
3685 | SCM_WRONG_TYPE_ARG (SCM_ARGn, a); | |
3686 | } | |
0f2d19dd | 3687 | } |
f4c627b3 | 3688 | #undef FUNC_NAME |
0f2d19dd JB |
3689 | |
3690 | ||
9de33deb | 3691 | SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide); |
1cc91f1b | 3692 | |
0f2d19dd | 3693 | SCM |
6e8d25a6 | 3694 | scm_divide (SCM x, SCM y) |
0f2d19dd | 3695 | { |
f8de44c1 DH |
3696 | double a; |
3697 | ||
3698 | if (SCM_UNBNDP (y)) { | |
3699 | if (SCM_UNBNDP (x)) { | |
3700 | SCM_WTA_DISPATCH_0 (g_divide, x, SCM_ARG1, s_divide); | |
3701 | } else if (SCM_INUMP (x)) { | |
3702 | if (SCM_EQ_P (x, SCM_MAKINUM (1L)) || SCM_EQ_P (x, SCM_MAKINUM (-1L))) { | |
3703 | return x; | |
3704 | } else { | |
3705 | return scm_make_real (1.0 / (double) SCM_INUM (x)); | |
3706 | } | |
f8de44c1 DH |
3707 | } else if (SCM_BIGP (x)) { |
3708 | return scm_make_real (1.0 / scm_big2dbl (x)); | |
f8de44c1 DH |
3709 | } else if (SCM_REALP (x)) { |
3710 | return scm_make_real (1.0 / SCM_REAL_VALUE (x)); | |
3711 | } else if (SCM_COMPLEXP (x)) { | |
3712 | double r = SCM_COMPLEX_REAL (x); | |
3713 | double i = SCM_COMPLEX_IMAG (x); | |
3714 | double d = r * r + i * i; | |
3715 | return scm_make_complex (r / d, -i / d); | |
3716 | } else { | |
3717 | SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide); | |
3718 | } | |
3719 | } | |
3720 | ||
3721 | if (SCM_INUMP (x)) { | |
3722 | long xx = SCM_INUM (x); | |
3723 | if (SCM_INUMP (y)) { | |
3724 | long yy = SCM_INUM (y); | |
3725 | if (yy == 0) { | |
f4c627b3 | 3726 | scm_num_overflow (s_divide); |
f8de44c1 DH |
3727 | } else if (xx % yy != 0) { |
3728 | return scm_make_real ((double) xx / (double) yy); | |
3729 | } else { | |
3730 | long z = xx / yy; | |
3731 | if (SCM_FIXABLE (z)) { | |
3732 | return SCM_MAKINUM (z); | |
3733 | } else { | |
f872b822 | 3734 | #ifdef SCM_BIGDIG |
f8de44c1 | 3735 | return scm_long2big (z); |
f872b822 | 3736 | #else |
f8de44c1 | 3737 | return scm_make_real ((double) xx / (double) yy); |
f872b822 | 3738 | #endif |
f872b822 | 3739 | } |
f8de44c1 | 3740 | } |
f8de44c1 DH |
3741 | } else if (SCM_BIGP (y)) { |
3742 | return scm_make_real ((double) xx / scm_big2dbl (y)); | |
f8de44c1 DH |
3743 | } else if (SCM_REALP (y)) { |
3744 | return scm_make_real ((double) xx / SCM_REAL_VALUE (y)); | |
3745 | } else if (SCM_COMPLEXP (y)) { | |
3746 | a = xx; | |
3747 | complex_div: /* y _must_ be a complex number */ | |
3748 | { | |
3749 | double r = SCM_COMPLEX_REAL (y); | |
3750 | double i = SCM_COMPLEX_IMAG (y); | |
3751 | double d = r * r + i * i; | |
3752 | return scm_make_complex ((a * r) / d, (-a * i) / d); | |
3753 | } | |
3754 | } else { | |
3755 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
3756 | } | |
f8de44c1 DH |
3757 | } else if (SCM_BIGP (x)) { |
3758 | if (SCM_INUMP (y)) { | |
3759 | long int yy = SCM_INUM (y); | |
3760 | if (yy == 0) { | |
3761 | scm_num_overflow (s_divide); | |
3762 | } else if (yy == 1) { | |
3763 | return x; | |
3764 | } else { | |
3765 | long z = yy < 0 ? -yy : yy; | |
3766 | if (z < SCM_BIGRAD) { | |
3767 | SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)); | |
3768 | return scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w), | |
3769 | (SCM_BIGDIG) z) | |
3770 | ? scm_make_real (scm_big2dbl (x) / (double) yy) | |
3771 | : scm_normbig (w); | |
3772 | } else { | |
3773 | SCM w; | |
3774 | #ifndef SCM_DIGSTOOBIG | |
3775 | z = scm_pseudolong (z); | |
3776 | w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3777 | (SCM_BIGDIG *) & z, SCM_DIGSPERLONG, | |
3778 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3); | |
f872b822 | 3779 | #else |
f8de44c1 DH |
3780 | SCM_BIGDIG zdigs[SCM_DIGSPERLONG]; |
3781 | scm_longdigs (z, zdigs); | |
3782 | w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3783 | zdigs, SCM_DIGSPERLONG, | |
3784 | SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3); | |
f872b822 | 3785 | #endif |
f4c627b3 DH |
3786 | return (!SCM_UNBNDP (w)) |
3787 | ? w | |
3788 | : scm_make_real (scm_big2dbl (x) / (double) yy); | |
f872b822 | 3789 | } |
f8de44c1 DH |
3790 | } |
3791 | } else if (SCM_BIGP (y)) { | |
3792 | SCM w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x), | |
3793 | SCM_BDIGITS (y), SCM_NUMDIGS (y), | |
3794 | SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3); | |
f4c627b3 DH |
3795 | return (!SCM_UNBNDP (w)) |
3796 | ? w | |
3797 | : scm_make_real (scm_big2dbl (x) / scm_big2dbl (y)); | |
f8de44c1 DH |
3798 | } else if (SCM_REALP (y)) { |
3799 | return scm_make_real (scm_big2dbl (x) / SCM_REAL_VALUE (y)); | |
3800 | } else if (SCM_COMPLEXP (y)) { | |
3801 | a = scm_big2dbl (x); | |
3802 | goto complex_div; | |
3803 | } else { | |
3804 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
f872b822 | 3805 | } |
f8de44c1 DH |
3806 | } else if (SCM_REALP (x)) { |
3807 | double rx = SCM_REAL_VALUE (x); | |
3808 | if (SCM_INUMP (y)) { | |
3809 | return scm_make_real (rx / (double) SCM_INUM (y)); | |
f8de44c1 DH |
3810 | } else if (SCM_BIGP (y)) { |
3811 | return scm_make_real (rx / scm_big2dbl (y)); | |
f8de44c1 DH |
3812 | } else if (SCM_REALP (y)) { |
3813 | return scm_make_real (rx / SCM_REAL_VALUE (y)); | |
3814 | } else if (SCM_COMPLEXP (y)) { | |
3815 | a = rx; | |
3816 | goto complex_div; | |
3817 | } else { | |
3818 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
f872b822 | 3819 | } |
f8de44c1 DH |
3820 | } else if (SCM_COMPLEXP (x)) { |
3821 | double rx = SCM_COMPLEX_REAL (x); | |
3822 | double ix = SCM_COMPLEX_IMAG (x); | |
3823 | if (SCM_INUMP (y)) { | |
3824 | double d = SCM_INUM (y); | |
3825 | return scm_make_complex (rx / d, ix / d); | |
f8de44c1 DH |
3826 | } else if (SCM_BIGP (y)) { |
3827 | double d = scm_big2dbl (y); | |
3828 | return scm_make_complex (rx / d, ix / d); | |
f8de44c1 DH |
3829 | } else if (SCM_REALP (y)) { |
3830 | double d = SCM_REAL_VALUE (y); | |
3831 | return scm_make_complex (rx / d, ix / d); | |
3832 | } else if (SCM_COMPLEXP (y)) { | |
3833 | double ry = SCM_COMPLEX_REAL (y); | |
3834 | double iy = SCM_COMPLEX_IMAG (y); | |
3835 | double d = ry * ry + iy * iy; | |
3836 | return scm_make_complex ((rx * ry + ix * iy) / d, | |
3837 | (ix * ry - rx * iy) / d); | |
3838 | } else { | |
3839 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide); | |
3840 | } | |
3841 | } else { | |
3842 | SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide); | |
0f2d19dd JB |
3843 | } |
3844 | } | |
3845 | ||
3846 | ||
9de33deb | 3847 | SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh); |
1cc91f1b | 3848 | |
0f2d19dd | 3849 | double |
6e8d25a6 | 3850 | scm_asinh (double x) |
0f2d19dd | 3851 | { |
f872b822 | 3852 | return log (x + sqrt (x * x + 1)); |
0f2d19dd JB |
3853 | } |
3854 | ||
3855 | ||
3856 | ||
3857 | ||
9de33deb | 3858 | SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh); |
1cc91f1b | 3859 | |
0f2d19dd | 3860 | double |
6e8d25a6 | 3861 | scm_acosh (double x) |
0f2d19dd | 3862 | { |
f872b822 | 3863 | return log (x + sqrt (x * x - 1)); |
0f2d19dd JB |
3864 | } |
3865 | ||
3866 | ||
3867 | ||
3868 | ||
9de33deb | 3869 | SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh); |
1cc91f1b | 3870 | |
0f2d19dd | 3871 | double |
6e8d25a6 | 3872 | scm_atanh (double x) |
0f2d19dd | 3873 | { |
f872b822 | 3874 | return 0.5 * log ((1 + x) / (1 - x)); |
0f2d19dd JB |
3875 | } |
3876 | ||
3877 | ||
3878 | ||
3879 | ||
9de33deb | 3880 | SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate); |
1cc91f1b | 3881 | |
0f2d19dd | 3882 | double |
6e8d25a6 | 3883 | scm_truncate (double x) |
0f2d19dd | 3884 | { |
f872b822 MD |
3885 | if (x < 0.0) |
3886 | return -floor (-x); | |
3887 | return floor (x); | |
0f2d19dd JB |
3888 | } |
3889 | ||
3890 | ||
3891 | ||
9de33deb | 3892 | SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round); |
1cc91f1b | 3893 | |
0f2d19dd | 3894 | double |
6e8d25a6 | 3895 | scm_round (double x) |
0f2d19dd JB |
3896 | { |
3897 | double plus_half = x + 0.5; | |
f872b822 | 3898 | double result = floor (plus_half); |
0f2d19dd | 3899 | /* Adjust so that the scm_round is towards even. */ |
f872b822 | 3900 | return (plus_half == result && plus_half / 2 != floor (plus_half / 2)) |
0f2d19dd JB |
3901 | ? result - 1 : result; |
3902 | } | |
3903 | ||
3904 | ||
3905 | ||
9de33deb | 3906 | SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact); |
1cc91f1b | 3907 | |
0f2d19dd | 3908 | double |
6e8d25a6 | 3909 | scm_exact_to_inexact (double z) |
0f2d19dd JB |
3910 | { |
3911 | return z; | |
3912 | } | |
3913 | ||
3914 | ||
9de33deb MD |
3915 | SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor); |
3916 | SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil); | |
3917 | SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt); | |
3918 | SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs); | |
3919 | SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp); | |
3920 | SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log); | |
3921 | SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin); | |
3922 | SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos); | |
3923 | SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan); | |
3924 | SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin); | |
3925 | SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos); | |
3926 | SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan); | |
3927 | SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh); | |
3928 | SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh); | |
3929 | SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh); | |
f872b822 MD |
3930 | |
3931 | struct dpair | |
3932 | { | |
3933 | double x, y; | |
3934 | }; | |
3935 | ||
3eeba8d4 JB |
3936 | static void scm_two_doubles (SCM z1, |
3937 | SCM z2, | |
3938 | const char *sstring, | |
3939 | struct dpair * xy); | |
f872b822 MD |
3940 | |
3941 | static void | |
6e8d25a6 | 3942 | scm_two_doubles (SCM z1, SCM z2, const char *sstring, struct dpair *xy) |
0f2d19dd | 3943 | { |
f872b822 MD |
3944 | if (SCM_INUMP (z1)) |
3945 | xy->x = SCM_INUM (z1); | |
3946 | else | |
3947 | { | |
3948 | #ifdef SCM_BIGDIG | |
3949 | SCM_ASRTGO (SCM_NIMP (z1), badz1); | |
3950 | if (SCM_BIGP (z1)) | |
3951 | xy->x = scm_big2dbl (z1); | |
3952 | else | |
3953 | { | |
3954 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 3955 | if (!SCM_SLOPPY_REALP (z1)) |
f872b822 MD |
3956 | badz1:scm_wta (z1, (char *) SCM_ARG1, sstring); |
3957 | #endif | |
3958 | xy->x = SCM_REALPART (z1); | |
3959 | } | |
3960 | #else | |
3961 | { | |
f3ae5d60 | 3962 | SCM_ASSERT (SCM_SLOPPY_REALP (z1), z1, SCM_ARG1, sstring); |
f872b822 MD |
3963 | xy->x = SCM_REALPART (z1); |
3964 | } | |
3965 | #endif | |
3966 | } | |
3967 | if (SCM_INUMP (z2)) | |
3968 | xy->y = SCM_INUM (z2); | |
3969 | else | |
3970 | { | |
3971 | #ifdef SCM_BIGDIG | |
3972 | SCM_ASRTGO (SCM_NIMP (z2), badz2); | |
3973 | if (SCM_BIGP (z2)) | |
3974 | xy->y = scm_big2dbl (z2); | |
3975 | else | |
3976 | { | |
3977 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 3978 | if (!(SCM_SLOPPY_REALP (z2))) |
f872b822 MD |
3979 | badz2:scm_wta (z2, (char *) SCM_ARG2, sstring); |
3980 | #endif | |
3981 | xy->y = SCM_REALPART (z2); | |
3982 | } | |
3983 | #else | |
3984 | { | |
f3ae5d60 | 3985 | SCM_ASSERT (SCM_SLOPPY_REALP (z2), z2, SCM_ARG2, sstring); |
f872b822 MD |
3986 | xy->y = SCM_REALPART (z2); |
3987 | } | |
3988 | #endif | |
3989 | } | |
0f2d19dd JB |
3990 | } |
3991 | ||
3992 | ||
3993 | ||
3994 | ||
a1ec6916 | 3995 | SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0, |
1bbd0b84 | 3996 | (SCM z1, SCM z2), |
b380b885 | 3997 | "") |
1bbd0b84 | 3998 | #define FUNC_NAME s_scm_sys_expt |
0f2d19dd JB |
3999 | { |
4000 | struct dpair xy; | |
1bbd0b84 | 4001 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f8de44c1 | 4002 | return scm_make_real (pow (xy.x, xy.y)); |
0f2d19dd | 4003 | } |
1bbd0b84 | 4004 | #undef FUNC_NAME |
0f2d19dd JB |
4005 | |
4006 | ||
4007 | ||
a1ec6916 | 4008 | SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0, |
1bbd0b84 | 4009 | (SCM z1, SCM z2), |
b380b885 | 4010 | "") |
1bbd0b84 | 4011 | #define FUNC_NAME s_scm_sys_atan2 |
0f2d19dd JB |
4012 | { |
4013 | struct dpair xy; | |
1bbd0b84 | 4014 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f8de44c1 | 4015 | return scm_make_real (atan2 (xy.x, xy.y)); |
0f2d19dd | 4016 | } |
1bbd0b84 | 4017 | #undef FUNC_NAME |
0f2d19dd JB |
4018 | |
4019 | ||
4020 | ||
a1ec6916 | 4021 | SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0, |
1bbd0b84 | 4022 | (SCM z1, SCM z2), |
b380b885 | 4023 | "") |
1bbd0b84 | 4024 | #define FUNC_NAME s_scm_make_rectangular |
0f2d19dd JB |
4025 | { |
4026 | struct dpair xy; | |
1bbd0b84 | 4027 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f8de44c1 | 4028 | return scm_make_complex (xy.x, xy.y); |
0f2d19dd | 4029 | } |
1bbd0b84 | 4030 | #undef FUNC_NAME |
0f2d19dd JB |
4031 | |
4032 | ||
4033 | ||
a1ec6916 | 4034 | SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0, |
1bbd0b84 | 4035 | (SCM z1, SCM z2), |
b380b885 | 4036 | "") |
1bbd0b84 | 4037 | #define FUNC_NAME s_scm_make_polar |
0f2d19dd JB |
4038 | { |
4039 | struct dpair xy; | |
1bbd0b84 | 4040 | scm_two_doubles (z1, z2, FUNC_NAME, &xy); |
f8de44c1 | 4041 | return scm_make_complex (xy.x * cos (xy.y), xy.x * sin (xy.y)); |
0f2d19dd | 4042 | } |
1bbd0b84 | 4043 | #undef FUNC_NAME |
0f2d19dd JB |
4044 | |
4045 | ||
4046 | ||
4047 | ||
152f82bf | 4048 | SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part); |
1cc91f1b | 4049 | |
0f2d19dd | 4050 | SCM |
6e8d25a6 | 4051 | scm_real_part (SCM z) |
0f2d19dd | 4052 | { |
f872b822 MD |
4053 | if (SCM_NINUMP (z)) |
4054 | { | |
4055 | #ifdef SCM_BIGDIG | |
4056 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4057 | if (SCM_BIGP (z)) | |
4058 | return z; | |
f3ae5d60 | 4059 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4060 | { |
4061 | badz: | |
152f82bf | 4062 | SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4063 | } |
f872b822 | 4064 | #else |
f3ae5d60 | 4065 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4066 | g_real_part, z, SCM_ARG1, s_real_part); |
f872b822 | 4067 | #endif |
f3ae5d60 | 4068 | if (SCM_SLOPPY_COMPLEXP (z)) |
f8de44c1 | 4069 | return scm_make_real (SCM_REAL (z)); |
f872b822 | 4070 | } |
0f2d19dd JB |
4071 | return z; |
4072 | } | |
4073 | ||
4074 | ||
4075 | ||
152f82bf | 4076 | SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part); |
1cc91f1b | 4077 | |
0f2d19dd | 4078 | SCM |
6e8d25a6 | 4079 | scm_imag_part (SCM z) |
0f2d19dd | 4080 | { |
f872b822 MD |
4081 | if (SCM_INUMP (z)) |
4082 | return SCM_INUM0; | |
4083 | #ifdef SCM_BIGDIG | |
4084 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4085 | if (SCM_BIGP (z)) | |
4086 | return SCM_INUM0; | |
f3ae5d60 | 4087 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4088 | { |
4089 | badz: | |
152f82bf | 4090 | SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4091 | } |
f872b822 | 4092 | #else |
f3ae5d60 | 4093 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
152f82bf | 4094 | g_imag_part, z, SCM_ARG1, s_imag_part); |
f872b822 | 4095 | #endif |
f3ae5d60 | 4096 | if (SCM_SLOPPY_COMPLEXP (z)) |
f8de44c1 | 4097 | return scm_make_real (SCM_IMAG (z)); |
0f2d19dd JB |
4098 | return scm_flo0; |
4099 | } | |
4100 | ||
4101 | ||
4102 | ||
9de33deb | 4103 | SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude); |
1cc91f1b | 4104 | |
0f2d19dd | 4105 | SCM |
6e8d25a6 | 4106 | scm_magnitude (SCM z) |
0f2d19dd | 4107 | { |
f872b822 MD |
4108 | if (SCM_INUMP (z)) |
4109 | return scm_abs (z); | |
4110 | #ifdef SCM_BIGDIG | |
4111 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4112 | if (SCM_BIGP (z)) | |
4113 | return scm_abs (z); | |
f3ae5d60 | 4114 | if (!(SCM_SLOPPY_INEXACTP (z))) |
f872b822 MD |
4115 | { |
4116 | badz: | |
9de33deb | 4117 | SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4118 | } |
f872b822 | 4119 | #else |
f3ae5d60 | 4120 | SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), |
9de33deb | 4121 | g_magnitude, z, SCM_ARG1, s_magnitude); |
f872b822 | 4122 | #endif |
f3ae5d60 | 4123 | if (SCM_SLOPPY_COMPLEXP (z)) |
0f2d19dd | 4124 | { |
f872b822 | 4125 | double i = SCM_IMAG (z), r = SCM_REAL (z); |
f8de44c1 | 4126 | return scm_make_real (sqrt (i * i + r * r)); |
0f2d19dd | 4127 | } |
f8de44c1 | 4128 | return scm_make_real (fabs (SCM_REALPART (z))); |
0f2d19dd JB |
4129 | } |
4130 | ||
4131 | ||
4132 | ||
4133 | ||
9de33deb | 4134 | SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle); |
1cc91f1b | 4135 | |
0f2d19dd | 4136 | SCM |
6e8d25a6 | 4137 | scm_angle (SCM z) |
0f2d19dd | 4138 | { |
f4c627b3 DH |
4139 | if (SCM_INUMP (z)) { |
4140 | if (SCM_INUM (z) >= 0) { | |
4141 | return scm_make_real (atan2 (0.0, 1.0)); | |
4142 | } else { | |
4143 | return scm_make_real (atan2 (0.0, -1.0)); | |
f872b822 | 4144 | } |
f4c627b3 DH |
4145 | } else if (SCM_BIGP (z)) { |
4146 | if (SCM_BIGSIGN (z)) { | |
4147 | return scm_make_real (atan2 (0.0, -1.0)); | |
4148 | } else { | |
4149 | return scm_make_real (atan2 (0.0, 1.0)); | |
0f2d19dd | 4150 | } |
f4c627b3 DH |
4151 | } else if (SCM_REALP (z)) { |
4152 | return scm_make_real (atan2 (0.0, SCM_REAL_VALUE (z))); | |
4153 | } else if (SCM_COMPLEXP (z)) { | |
4154 | return scm_make_real (atan2 (SCM_COMPLEX_IMAG (z), SCM_COMPLEX_REAL (z))); | |
4155 | } else { | |
4156 | SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle); | |
4157 | } | |
0f2d19dd JB |
4158 | } |
4159 | ||
4160 | ||
a1ec6916 | 4161 | SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0, |
1bbd0b84 | 4162 | (SCM z), |
b380b885 | 4163 | "") |
1bbd0b84 | 4164 | #define FUNC_NAME s_scm_inexact_to_exact |
0f2d19dd | 4165 | { |
f872b822 MD |
4166 | if (SCM_INUMP (z)) |
4167 | return z; | |
4168 | #ifdef SCM_BIGDIG | |
4169 | SCM_ASRTGO (SCM_NIMP (z), badz); | |
4170 | if (SCM_BIGP (z)) | |
4171 | return z; | |
4172 | #ifndef SCM_RECKLESS | |
f3ae5d60 | 4173 | if (!(SCM_SLOPPY_REALP (z))) |
f872b822 MD |
4174 | { |
4175 | badz: | |
4638e087 | 4176 | SCM_WTA (1, z); |
f872b822 MD |
4177 | } |
4178 | #endif | |
4179 | #else | |
3b3b36dd | 4180 | SCM_VALIDATE_REAL (1,z); |
f872b822 MD |
4181 | #endif |
4182 | #ifdef SCM_BIGDIG | |
0f2d19dd | 4183 | { |
f872b822 MD |
4184 | double u = floor (SCM_REALPART (z) + 0.5); |
4185 | if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM)) | |
4186 | { | |
4187 | /* Negation is a workaround for HP700 cc bug */ | |
4188 | SCM ans = SCM_MAKINUM ((long) u); | |
4189 | if (SCM_INUM (ans) == (long) u) | |
4190 | return ans; | |
4191 | } | |
e6f3ef58 | 4192 | SCM_ASRTGO (isfinite (u), badz); /* problem? */ |
f872b822 | 4193 | return scm_dbl2big (u); |
0f2d19dd | 4194 | } |
f872b822 MD |
4195 | #else |
4196 | return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5)); | |
4197 | #endif | |
0f2d19dd | 4198 | } |
1bbd0b84 | 4199 | #undef FUNC_NAME |
0f2d19dd JB |
4200 | |
4201 | ||
4202 | ||
0f2d19dd | 4203 | #ifdef SCM_BIGDIG |
0f2d19dd | 4204 | /* d must be integer */ |
1cc91f1b | 4205 | |
0f2d19dd | 4206 | SCM |
6e8d25a6 | 4207 | scm_dbl2big (double d) |
0f2d19dd JB |
4208 | { |
4209 | scm_sizet i = 0; | |
4210 | long c; | |
4211 | SCM_BIGDIG *digits; | |
4212 | SCM ans; | |
f872b822 MD |
4213 | double u = (d < 0) ? -d : d; |
4214 | while (0 != floor (u)) | |
4215 | { | |
4216 | u /= SCM_BIGRAD; | |
4217 | i++; | |
4218 | } | |
4219 | ans = scm_mkbig (i, d < 0); | |
4220 | digits = SCM_BDIGITS (ans); | |
4221 | while (i--) | |
4222 | { | |
4223 | u *= SCM_BIGRAD; | |
4224 | c = floor (u); | |
4225 | u -= c; | |
4226 | digits[i] = c; | |
4227 | } | |
cf7c17e9 | 4228 | #ifndef SCM_RECKLESS |
e1724d20 | 4229 | if (u != 0) |
52859adf | 4230 | scm_num_overflow ("dbl2big"); |
e1724d20 | 4231 | #endif |
0f2d19dd JB |
4232 | return ans; |
4233 | } | |
4234 | ||
4235 | ||
4236 | ||
0f2d19dd | 4237 | double |
6e8d25a6 | 4238 | scm_big2dbl (SCM b) |
0f2d19dd JB |
4239 | { |
4240 | double ans = 0.0; | |
f872b822 MD |
4241 | scm_sizet i = SCM_NUMDIGS (b); |
4242 | SCM_BIGDIG *digits = SCM_BDIGITS (b); | |
4243 | while (i--) | |
4244 | ans = digits[i] + SCM_BIGRAD * ans; | |
f3ae5d60 MD |
4245 | if (SCM_BIGSIGN (b)) |
4246 | return - ans; | |
0f2d19dd JB |
4247 | return ans; |
4248 | } | |
f872b822 | 4249 | #endif |
0f2d19dd | 4250 | |
1cc91f1b | 4251 | |
0f2d19dd | 4252 | SCM |
6e8d25a6 | 4253 | scm_long2num (long sl) |
0f2d19dd | 4254 | { |
f872b822 MD |
4255 | if (!SCM_FIXABLE (sl)) |
4256 | { | |
0f2d19dd | 4257 | #ifdef SCM_BIGDIG |
f872b822 | 4258 | return scm_long2big (sl); |
0f2d19dd | 4259 | #else |
f8de44c1 | 4260 | return scm_make_real ((double) sl); |
f872b822 MD |
4261 | #endif |
4262 | } | |
4263 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4264 | } |
4265 | ||
4266 | ||
5c11cc9d | 4267 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4268 | |
0f2d19dd | 4269 | SCM |
6e8d25a6 | 4270 | scm_long_long2num (long_long sl) |
0f2d19dd | 4271 | { |
f872b822 MD |
4272 | if (!SCM_FIXABLE (sl)) |
4273 | { | |
0f2d19dd | 4274 | #ifdef SCM_BIGDIG |
f872b822 | 4275 | return scm_long_long2big (sl); |
0f2d19dd | 4276 | #else |
f8de44c1 | 4277 | return scm_make_real ((double) sl); |
f872b822 MD |
4278 | #endif |
4279 | } | |
f2961ccd DH |
4280 | else |
4281 | { | |
4282 | /* we know that sl fits into an inum */ | |
4283 | return SCM_MAKINUM ((scm_bits_t) sl); | |
4284 | } | |
0f2d19dd JB |
4285 | } |
4286 | #endif | |
4287 | ||
4288 | ||
1cc91f1b | 4289 | |
0f2d19dd | 4290 | SCM |
6e8d25a6 | 4291 | scm_ulong2num (unsigned long sl) |
0f2d19dd | 4292 | { |
f872b822 MD |
4293 | if (!SCM_POSFIXABLE (sl)) |
4294 | { | |
0f2d19dd | 4295 | #ifdef SCM_BIGDIG |
f872b822 | 4296 | return scm_ulong2big (sl); |
0f2d19dd | 4297 | #else |
f8de44c1 | 4298 | return scm_make_real ((double) sl); |
f872b822 MD |
4299 | #endif |
4300 | } | |
4301 | return SCM_MAKINUM (sl); | |
0f2d19dd JB |
4302 | } |
4303 | ||
1cc91f1b | 4304 | |
0f2d19dd | 4305 | long |
6e8d25a6 | 4306 | scm_num2long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4307 | { |
4308 | long res; | |
5c11cc9d | 4309 | |
f872b822 | 4310 | if (SCM_INUMP (num)) |
0f2d19dd | 4311 | { |
f872b822 | 4312 | res = SCM_INUM (num); |
0f2d19dd JB |
4313 | return res; |
4314 | } | |
5c11cc9d | 4315 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4316 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4317 | { |
5c11cc9d GH |
4318 | volatile double u = SCM_REALPART (num); |
4319 | ||
0f2d19dd | 4320 | res = u; |
5c11cc9d GH |
4321 | if (res != u) |
4322 | goto out_of_range; | |
4323 | return res; | |
0f2d19dd | 4324 | } |
0f2d19dd | 4325 | #ifdef SCM_BIGDIG |
f872b822 MD |
4326 | if (SCM_BIGP (num)) |
4327 | { | |
5c11cc9d | 4328 | unsigned long oldres = 0; |
f872b822 | 4329 | scm_sizet l; |
5c11cc9d GH |
4330 | /* can't use res directly in case num is -2^31. */ |
4331 | unsigned long pos_res = 0; | |
4332 | ||
f872b822 MD |
4333 | for (l = SCM_NUMDIGS (num); l--;) |
4334 | { | |
5c11cc9d GH |
4335 | pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l]; |
4336 | /* check for overflow. */ | |
4337 | if (pos_res < oldres) | |
4338 | goto out_of_range; | |
4339 | oldres = pos_res; | |
f872b822 | 4340 | } |
f3ae5d60 | 4341 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4342 | { |
f3ae5d60 MD |
4343 | res = - pos_res; |
4344 | if (res > 0) | |
5c11cc9d GH |
4345 | goto out_of_range; |
4346 | } | |
f872b822 | 4347 | else |
5c11cc9d | 4348 | { |
f3ae5d60 MD |
4349 | res = pos_res; |
4350 | if (res < 0) | |
5c11cc9d GH |
4351 | goto out_of_range; |
4352 | } | |
4353 | return res; | |
f872b822 | 4354 | } |
0f2d19dd | 4355 | #endif |
5c11cc9d GH |
4356 | wrong_type_arg: |
4357 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4358 | out_of_range: | |
4359 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4360 | } |
4361 | ||
4362 | ||
4363 | ||
5c11cc9d | 4364 | #ifdef HAVE_LONG_LONGS |
1cc91f1b | 4365 | |
0f2d19dd | 4366 | long_long |
6e8d25a6 | 4367 | scm_num2long_long (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4368 | { |
4369 | long_long res; | |
5c11cc9d | 4370 | |
f872b822 MD |
4371 | if (SCM_INUMP (num)) |
4372 | { | |
5c11cc9d | 4373 | res = SCM_INUM (num); |
0f2d19dd JB |
4374 | return res; |
4375 | } | |
5c11cc9d | 4376 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4377 | if (SCM_SLOPPY_REALP (num)) |
f872b822 MD |
4378 | { |
4379 | double u = SCM_REALPART (num); | |
5c11cc9d GH |
4380 | |
4381 | res = u; | |
4382 | if ((res < 0 && u > 0) || (res > 0 && u < 0)) /* check for overflow. */ | |
4383 | goto out_of_range; | |
4384 | ||
4385 | return res; | |
f872b822 | 4386 | } |
0f2d19dd | 4387 | #ifdef SCM_BIGDIG |
f872b822 MD |
4388 | if (SCM_BIGP (num)) |
4389 | { | |
5c11cc9d GH |
4390 | unsigned long long oldres = 0; |
4391 | scm_sizet l; | |
4392 | /* can't use res directly in case num is -2^63. */ | |
4393 | unsigned long long pos_res = 0; | |
4394 | ||
4395 | for (l = SCM_NUMDIGS (num); l--;) | |
4396 | { | |
4397 | pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l]; | |
4398 | /* check for overflow. */ | |
4399 | if (pos_res < oldres) | |
4400 | goto out_of_range; | |
4401 | oldres = pos_res; | |
4402 | } | |
f3ae5d60 | 4403 | if (SCM_BIGSIGN (num)) |
5c11cc9d | 4404 | { |
f3ae5d60 MD |
4405 | res = - pos_res; |
4406 | if (res > 0) | |
5c11cc9d GH |
4407 | goto out_of_range; |
4408 | } | |
4409 | else | |
4410 | { | |
f3ae5d60 MD |
4411 | res = pos_res; |
4412 | if (res < 0) | |
5c11cc9d GH |
4413 | goto out_of_range; |
4414 | } | |
f872b822 MD |
4415 | return res; |
4416 | } | |
0f2d19dd | 4417 | #endif |
5c11cc9d GH |
4418 | wrong_type_arg: |
4419 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4420 | out_of_range: | |
4421 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4422 | } |
4423 | #endif | |
4424 | ||
4425 | ||
1cc91f1b | 4426 | |
0f2d19dd | 4427 | unsigned long |
6e8d25a6 | 4428 | scm_num2ulong (SCM num, char *pos, const char *s_caller) |
0f2d19dd JB |
4429 | { |
4430 | unsigned long res; | |
5c11cc9d | 4431 | |
f872b822 | 4432 | if (SCM_INUMP (num)) |
0f2d19dd | 4433 | { |
5c11cc9d GH |
4434 | if (SCM_INUM (num) < 0) |
4435 | goto out_of_range; | |
4436 | res = SCM_INUM (num); | |
0f2d19dd JB |
4437 | return res; |
4438 | } | |
5c11cc9d | 4439 | SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg); |
f3ae5d60 | 4440 | if (SCM_SLOPPY_REALP (num)) |
0f2d19dd | 4441 | { |
f872b822 | 4442 | double u = SCM_REALPART (num); |
5c11cc9d GH |
4443 | |
4444 | res = u; | |
4445 | if (res != u) | |
4446 | goto out_of_range; | |
4447 | return res; | |
0f2d19dd | 4448 | } |
0f2d19dd | 4449 | #ifdef SCM_BIGDIG |
f872b822 MD |
4450 | if (SCM_BIGP (num)) |
4451 | { | |
5c11cc9d | 4452 | unsigned long oldres = 0; |
f872b822 | 4453 | scm_sizet l; |
5c11cc9d | 4454 | |
f872b822 | 4455 | res = 0; |
f872b822 MD |
4456 | for (l = SCM_NUMDIGS (num); l--;) |
4457 | { | |
4458 | res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l]; | |
4459 | if (res < oldres) | |
5c11cc9d | 4460 | goto out_of_range; |
f872b822 MD |
4461 | oldres = res; |
4462 | } | |
4463 | return res; | |
4464 | } | |
0f2d19dd | 4465 | #endif |
5c11cc9d GH |
4466 | wrong_type_arg: |
4467 | scm_wrong_type_arg (s_caller, (int) pos, num); | |
4468 | out_of_range: | |
4469 | scm_out_of_range (s_caller, num); | |
0f2d19dd JB |
4470 | } |
4471 | ||
4472 | ||
f872b822 | 4473 | #ifndef DBL_DIG |
f872b822 | 4474 | static void |
6e8d25a6 | 4475 | add1 (double f, double *fsum) |
0f2d19dd JB |
4476 | { |
4477 | *fsum = f + 1.0; | |
4478 | } | |
f872b822 | 4479 | #endif |
0f2d19dd JB |
4480 | |
4481 | ||
1cc91f1b | 4482 | |
0f2d19dd JB |
4483 | void |
4484 | scm_init_numbers () | |
0f2d19dd | 4485 | { |
f3ae5d60 MD |
4486 | scm_add_feature ("complex"); |
4487 | scm_add_feature ("inexact"); | |
4488 | SCM_NEWREAL (scm_flo0, 0.0); | |
f872b822 | 4489 | #ifdef DBL_DIG |
0f2d19dd | 4490 | scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG; |
f872b822 | 4491 | #else |
0f2d19dd JB |
4492 | { /* determine floating point precision */ |
4493 | double f = 0.1; | |
f872b822 MD |
4494 | double fsum = 1.0 + f; |
4495 | while (fsum != 1.0) | |
4496 | { | |
4497 | f /= 10.0; | |
4498 | if (++scm_dblprec > 20) | |
4499 | break; | |
4500 | add1 (f, &fsum); | |
4501 | } | |
4502 | scm_dblprec = scm_dblprec - 1; | |
0f2d19dd | 4503 | } |
f872b822 | 4504 | #endif /* DBL_DIG */ |
a0599745 | 4505 | #include "libguile/numbers.x" |
0f2d19dd | 4506 | } |
89e00824 ML |
4507 | |
4508 | /* | |
4509 | Local Variables: | |
4510 | c-file-style: "gnu" | |
4511 | End: | |
4512 | */ |