Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 1 | /*********************************************************** |
Guido van Rossum | 6610ad9 | 1995-01-04 19:07:38 +0000 | [diff] [blame] | 2 | Copyright 1991-1995 by Stichting Mathematisch Centrum, Amsterdam, |
| 3 | The Netherlands. |
Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 4 | |
| 5 | All Rights Reserved |
| 6 | |
Guido van Rossum | d266eb4 | 1996-10-25 14:44:06 +0000 | [diff] [blame] | 7 | Permission to use, copy, modify, and distribute this software and its |
| 8 | documentation for any purpose and without fee is hereby granted, |
Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 9 | provided that the above copyright notice appear in all copies and that |
Guido van Rossum | d266eb4 | 1996-10-25 14:44:06 +0000 | [diff] [blame] | 10 | both that copyright notice and this permission notice appear in |
Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 11 | supporting documentation, and that the names of Stichting Mathematisch |
Guido van Rossum | d266eb4 | 1996-10-25 14:44:06 +0000 | [diff] [blame] | 12 | Centrum or CWI or Corporation for National Research Initiatives or |
| 13 | CNRI not be used in advertising or publicity pertaining to |
| 14 | distribution of the software without specific, written prior |
| 15 | permission. |
Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 16 | |
Guido van Rossum | d266eb4 | 1996-10-25 14:44:06 +0000 | [diff] [blame] | 17 | While CWI is the initial source for this software, a modified version |
| 18 | is made available by the Corporation for National Research Initiatives |
| 19 | (CNRI) at the Internet address ftp://ftp.python.org. |
| 20 | |
| 21 | STICHTING MATHEMATISCH CENTRUM AND CNRI DISCLAIM ALL WARRANTIES WITH |
| 22 | REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF |
| 23 | MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH |
| 24 | CENTRUM OR CNRI BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL |
| 25 | DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR |
| 26 | PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER |
| 27 | TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR |
| 28 | PERFORMANCE OF THIS SOFTWARE. |
Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 29 | |
| 30 | ******************************************************************/ |
| 31 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 32 | /* Float object implementation */ |
| 33 | |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 34 | /* XXX There should be overflow checks here, but it's hard to check |
| 35 | for any kind of float exception without losing portability. */ |
| 36 | |
Guido van Rossum | 3f5da24 | 1990-12-20 15:06:42 +0000 | [diff] [blame] | 37 | #include "allobjects.h" |
Guido van Rossum | e537240 | 1993-03-16 12:15:04 +0000 | [diff] [blame] | 38 | #include "modsupport.h" |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 39 | |
Guido van Rossum | c211ee4 | 1990-12-20 23:06:26 +0000 | [diff] [blame] | 40 | #include <errno.h> |
Guido van Rossum | 3f5da24 | 1990-12-20 15:06:42 +0000 | [diff] [blame] | 41 | #include <ctype.h> |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 42 | #include "mymath.h" |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 43 | |
Guido van Rossum | 9575a44 | 1993-04-07 14:06:14 +0000 | [diff] [blame] | 44 | #ifdef i860 |
| 45 | /* Cray APP has bogus definition of HUGE_VAL in <math.h> */ |
| 46 | #undef HUGE_VAL |
| 47 | #endif |
| 48 | |
Guido van Rossum | 9d81b55 | 1996-06-26 18:27:19 +0000 | [diff] [blame] | 49 | #if defined(HUGE_VAL) && !defined(CHECK) |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 50 | #define CHECK(x) if (errno != 0) ; \ |
| 51 | else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ |
| 52 | else errno = ERANGE |
Guido van Rossum | 9d81b55 | 1996-06-26 18:27:19 +0000 | [diff] [blame] | 53 | #endif |
| 54 | |
| 55 | #ifndef CHECK |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 56 | #define CHECK(x) /* Don't know how to check */ |
| 57 | #endif |
| 58 | |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 59 | #ifdef HAVE_LIMITS_H |
| 60 | #include <limits.h> |
| 61 | #endif |
| 62 | |
| 63 | #ifndef LONG_MAX |
| 64 | #define LONG_MAX 0X7FFFFFFFL |
| 65 | #endif |
| 66 | |
| 67 | #ifndef LONG_MIN |
| 68 | #define LONG_MIN (-LONG_MAX-1) |
| 69 | #endif |
| 70 | |
Guido van Rossum | 67ca701 | 1995-02-13 16:38:41 +0000 | [diff] [blame] | 71 | #ifdef __NeXT__ |
| 72 | #ifdef __sparc__ |
| 73 | /* |
| 74 | * This works around a bug in the NS/Sparc 3.3 pre-release |
| 75 | * limits.h header file. |
| 76 | * 10-Feb-1995 bwarsaw@cnri.reston.va.us |
| 77 | */ |
| 78 | #undef LONG_MIN |
| 79 | #define LONG_MIN (-LONG_MAX-1) |
| 80 | #endif |
| 81 | #endif |
| 82 | |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 83 | #if !defined(__STDC__) && !defined(macintosh) |
Guido van Rossum | 6923e13 | 1990-11-02 17:50:43 +0000 | [diff] [blame] | 84 | extern double fmod PROTO((double, double)); |
| 85 | extern double pow PROTO((double, double)); |
| 86 | #endif |
| 87 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 88 | object * |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 89 | #ifdef __SC__ |
| 90 | newfloatobject(double fval) |
| 91 | #else |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 92 | newfloatobject(fval) |
| 93 | double fval; |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 94 | #endif |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 95 | { |
| 96 | /* For efficiency, this code is copied from newobject() */ |
| 97 | register floatobject *op = (floatobject *) malloc(sizeof(floatobject)); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 98 | if (op == NULL) |
| 99 | return err_nomem(); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 100 | op->ob_type = &Floattype; |
| 101 | op->ob_fval = fval; |
Sjoerd Mullender | a9c3c22 | 1993-10-11 12:54:31 +0000 | [diff] [blame] | 102 | NEWREF(op); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 103 | return (object *) op; |
| 104 | } |
| 105 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 106 | static void |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 107 | float_dealloc(op) |
| 108 | object *op; |
| 109 | { |
| 110 | DEL(op); |
| 111 | } |
| 112 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 113 | double |
| 114 | getfloatvalue(op) |
| 115 | object *op; |
| 116 | { |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 117 | number_methods *nb; |
| 118 | floatobject *fo; |
| 119 | double val; |
| 120 | |
| 121 | if (op && is_floatobject(op)) |
| 122 | return GETFLOATVALUE((floatobject*) op); |
| 123 | |
| 124 | if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || |
| 125 | nb->nb_float == NULL) { |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 126 | err_badarg(); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 127 | return -1; |
| 128 | } |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 129 | |
| 130 | fo = (floatobject*) (*nb->nb_float) (op); |
| 131 | if (fo == NULL) |
| 132 | return -1; |
| 133 | if (!is_floatobject(fo)) { |
| 134 | err_setstr(TypeError, "nb_float should return float object"); |
| 135 | return -1; |
| 136 | } |
| 137 | |
| 138 | val = GETFLOATVALUE(fo); |
| 139 | DECREF(fo); |
| 140 | |
| 141 | return val; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 142 | } |
| 143 | |
| 144 | /* Methods */ |
| 145 | |
Guido van Rossum | 27dec7e | 1991-06-04 19:42:53 +0000 | [diff] [blame] | 146 | void |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 147 | float_buf_repr(buf, v) |
| 148 | char *buf; |
| 149 | floatobject *v; |
| 150 | { |
| 151 | register char *cp; |
| 152 | /* Subroutine for float_repr and float_print. |
| 153 | We want float numbers to be recognizable as such, |
| 154 | i.e., they should contain a decimal point or an exponent. |
| 155 | However, %g may print the number as an integer; |
| 156 | in such cases, we append ".0" to the string. */ |
| 157 | sprintf(buf, "%.12g", v->ob_fval); |
| 158 | cp = buf; |
| 159 | if (*cp == '-') |
| 160 | cp++; |
| 161 | for (; *cp != '\0'; cp++) { |
| 162 | /* Any non-digit means it's not an integer; |
| 163 | this takes care of NAN and INF as well. */ |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 164 | if (!isdigit(Py_CHARMASK(*cp))) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 165 | break; |
| 166 | } |
| 167 | if (*cp == '\0') { |
| 168 | *cp++ = '.'; |
| 169 | *cp++ = '0'; |
| 170 | *cp++ = '\0'; |
| 171 | } |
| 172 | } |
| 173 | |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 174 | /* ARGSUSED */ |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 175 | static int |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 176 | float_print(v, fp, flags) |
| 177 | floatobject *v; |
| 178 | FILE *fp; |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 179 | int flags; /* Not used but required by interface */ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 180 | { |
| 181 | char buf[100]; |
| 182 | float_buf_repr(buf, v); |
| 183 | fputs(buf, fp); |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 184 | return 0; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 185 | } |
| 186 | |
| 187 | static object * |
| 188 | float_repr(v) |
| 189 | floatobject *v; |
| 190 | { |
| 191 | char buf[100]; |
| 192 | float_buf_repr(buf, v); |
| 193 | return newstringobject(buf); |
| 194 | } |
| 195 | |
| 196 | static int |
| 197 | float_compare(v, w) |
| 198 | floatobject *v, *w; |
| 199 | { |
| 200 | double i = v->ob_fval; |
| 201 | double j = w->ob_fval; |
| 202 | return (i < j) ? -1 : (i > j) ? 1 : 0; |
| 203 | } |
| 204 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 205 | static long |
| 206 | float_hash(v) |
| 207 | floatobject *v; |
| 208 | { |
| 209 | double intpart, fractpart; |
| 210 | int expo; |
| 211 | long x; |
| 212 | /* This is designed so that Python numbers with the same |
| 213 | value hash to the same value, otherwise comparisons |
| 214 | of mapping keys will turn out weird */ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 215 | |
| 216 | #ifdef MPW /* MPW C modf expects pointer to extended as second argument */ |
| 217 | { |
| 218 | extended e; |
| 219 | fractpart = modf(v->ob_fval, &e); |
| 220 | intpart = e; |
| 221 | } |
| 222 | #else |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 223 | fractpart = modf(v->ob_fval, &intpart); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 224 | #endif |
| 225 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 226 | if (fractpart == 0.0) { |
| 227 | if (intpart > 0x7fffffffL || -intpart > 0x7fffffffL) { |
| 228 | /* Convert to long int and use its hash... */ |
| 229 | object *w = dnewlongobject(v->ob_fval); |
| 230 | if (w == NULL) |
| 231 | return -1; |
| 232 | x = hashobject(w); |
| 233 | DECREF(w); |
| 234 | return x; |
| 235 | } |
| 236 | x = (long)intpart; |
| 237 | } |
| 238 | else { |
Guido van Rossum | 919cf1a | 1997-01-11 19:26:21 +0000 | [diff] [blame] | 239 | /* Note -- if you change this code, also change the copy |
| 240 | in complexobject.c */ |
| 241 | long hipart; |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 242 | fractpart = frexp(fractpart, &expo); |
Guido van Rossum | 919cf1a | 1997-01-11 19:26:21 +0000 | [diff] [blame] | 243 | fractpart = fractpart * 2147483648.0; /* 2**31 */ |
| 244 | hipart = (long)fractpart; /* Take the top 32 bits */ |
| 245 | fractpart = (fractpart - (double)hipart) * 2147483648.0; |
| 246 | /* Get the next 32 bits */ |
| 247 | x = hipart + (long)fractpart + (long)intpart + (expo << 15); |
| 248 | /* Combine everything */ |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 249 | } |
| 250 | if (x == -1) |
| 251 | x = -2; |
| 252 | return x; |
| 253 | } |
| 254 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 255 | static object * |
| 256 | float_add(v, w) |
| 257 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 258 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 259 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 260 | double result; |
| 261 | PyFPE_START_PROTECT("add", return 0) |
| 262 | result = v->ob_fval + w->ob_fval; |
| 263 | PyFPE_END_PROTECT |
| 264 | return newfloatobject(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 265 | } |
| 266 | |
| 267 | static object * |
| 268 | float_sub(v, w) |
| 269 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 270 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 271 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 272 | double result; |
| 273 | PyFPE_START_PROTECT("subtract", return 0) |
| 274 | result = v->ob_fval - w->ob_fval; |
| 275 | PyFPE_END_PROTECT |
| 276 | return newfloatobject(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 277 | } |
| 278 | |
| 279 | static object * |
| 280 | float_mul(v, w) |
| 281 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 282 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 283 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 284 | double result; |
| 285 | |
| 286 | PyFPE_START_PROTECT("multiply", return 0) |
| 287 | result = v->ob_fval * w->ob_fval; |
| 288 | PyFPE_END_PROTECT |
| 289 | return newfloatobject(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 290 | } |
| 291 | |
| 292 | static object * |
| 293 | float_div(v, w) |
| 294 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 295 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 296 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 297 | double result; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 298 | if (w->ob_fval == 0) { |
Guido van Rossum | 9a9fadd | 1991-12-10 13:56:55 +0000 | [diff] [blame] | 299 | err_setstr(ZeroDivisionError, "float division"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 300 | return NULL; |
| 301 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 302 | PyFPE_START_PROTECT("divide", return 0) |
| 303 | result = v->ob_fval / w->ob_fval; |
| 304 | PyFPE_END_PROTECT |
| 305 | return newfloatobject(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 306 | } |
| 307 | |
| 308 | static object * |
| 309 | float_rem(v, w) |
| 310 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 311 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 312 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 313 | double vx, wx; |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 314 | double /* div, */ mod; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 315 | wx = w->ob_fval; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 316 | if (wx == 0.0) { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 317 | err_setstr(ZeroDivisionError, "float modulo"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 318 | return NULL; |
| 319 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 320 | PyFPE_START_PROTECT("modulo", return 0) |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 321 | vx = v->ob_fval; |
| 322 | mod = fmod(vx, wx); |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 323 | /* div = (vx - mod) / wx; */ |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 324 | if (wx*mod < 0) { |
| 325 | mod += wx; |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 326 | /* div -= 1.0; */ |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 327 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 328 | PyFPE_END_PROTECT |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 329 | return newfloatobject(mod); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 330 | } |
| 331 | |
| 332 | static object * |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 333 | float_divmod(v, w) |
| 334 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 335 | floatobject *w; |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 336 | { |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 337 | double vx, wx; |
| 338 | double div, mod; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 339 | wx = w->ob_fval; |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 340 | if (wx == 0.0) { |
Guido van Rossum | 9a9fadd | 1991-12-10 13:56:55 +0000 | [diff] [blame] | 341 | err_setstr(ZeroDivisionError, "float divmod()"); |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 342 | return NULL; |
| 343 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 344 | PyFPE_START_PROTECT("divmod", return 0) |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 345 | vx = v->ob_fval; |
| 346 | mod = fmod(vx, wx); |
| 347 | div = (vx - mod) / wx; |
| 348 | if (wx*mod < 0) { |
| 349 | mod += wx; |
| 350 | div -= 1.0; |
| 351 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 352 | PyFPE_END_PROTECT |
Guido van Rossum | e537240 | 1993-03-16 12:15:04 +0000 | [diff] [blame] | 353 | return mkvalue("(dd)", div, mod); |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 354 | } |
| 355 | |
Guido van Rossum | 363078a | 1996-05-24 20:45:01 +0000 | [diff] [blame] | 356 | static double powu(x, n) |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 357 | double x; |
| 358 | long n; |
| 359 | { |
| 360 | double r = 1.; |
| 361 | double p = x; |
| 362 | long mask = 1; |
| 363 | while (mask > 0 && n >= mask) { |
| 364 | if (n & mask) |
| 365 | r *= p; |
| 366 | mask <<= 1; |
| 367 | p *= p; |
| 368 | } |
| 369 | return r; |
| 370 | } |
| 371 | |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 372 | static object * |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 373 | float_pow(v, w, z) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 374 | floatobject *v; |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 375 | object *w; |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 376 | floatobject *z; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 377 | { |
| 378 | double iv, iw, ix; |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 379 | long intw; |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 380 | /* XXX Doesn't handle overflows if z!=None yet; it may never do so :( |
| 381 | * The z parameter is really only going to be useful for integers and |
| 382 | * long integers. Maybe something clever with logarithms could be done. |
| 383 | * [AMK] |
| 384 | */ |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 385 | iv = v->ob_fval; |
| 386 | iw = ((floatobject *)w)->ob_fval; |
| 387 | intw = (long)iw; |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 388 | if (iw == intw && -10000 < intw && intw < 10000) { |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 389 | /* Sort out special cases here instead of relying on pow() */ |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 390 | if (intw == 0) { /* x**0 is 1, even 0**0 */ |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 391 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 392 | if ((object *)z!=None) { |
| 393 | ix=fmod(1.0, z->ob_fval); |
| 394 | if (ix!=0 && z->ob_fval<0) ix+=z->ob_fval; |
| 395 | } |
| 396 | else ix=1.0; |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 397 | PyFPE_END_PROTECT |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 398 | return newfloatobject(ix); |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 399 | } |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 400 | errno = 0; |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 401 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 402 | if (intw > 0) |
| 403 | ix = powu(iv, intw); |
| 404 | else |
| 405 | ix = 1./powu(iv, -intw); |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 406 | PyFPE_END_PROTECT |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 407 | } |
| 408 | else { |
| 409 | /* Sort out special cases here instead of relying on pow() */ |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 410 | if (iv == 0.0) { |
| 411 | if (iw < 0.0) { |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 412 | err_setstr(ValueError, |
| 413 | "0.0 to a negative power"); |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 414 | return NULL; |
| 415 | } |
| 416 | return newfloatobject(0.0); |
| 417 | } |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 418 | if (iv < 0.0) { |
| 419 | err_setstr(ValueError, |
| 420 | "negative number to a float power"); |
| 421 | return NULL; |
| 422 | } |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 423 | errno = 0; |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 424 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 425 | ix = pow(iv, iw); |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 426 | PyFPE_END_PROTECT |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 427 | } |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 428 | CHECK(ix); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 429 | if (errno != 0) { |
| 430 | /* XXX could it be another type of error? */ |
| 431 | err_errno(OverflowError); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 432 | return NULL; |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 433 | } |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 434 | if ((object *)z!=None) { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 435 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 436 | ix=fmod(ix, z->ob_fval); /* XXX To Be Rewritten */ |
| 437 | if ( ix!=0 && |
| 438 | ((iv<0 && z->ob_fval>0) || (iv>0 && z->ob_fval<0) )) { |
| 439 | ix+=z->ob_fval; |
| 440 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 441 | PyFPE_END_PROTECT |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 442 | } |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 443 | return newfloatobject(ix); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 444 | } |
| 445 | |
| 446 | static object * |
| 447 | float_neg(v) |
| 448 | floatobject *v; |
| 449 | { |
| 450 | return newfloatobject(-v->ob_fval); |
| 451 | } |
| 452 | |
| 453 | static object * |
| 454 | float_pos(v) |
| 455 | floatobject *v; |
| 456 | { |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 457 | INCREF(v); |
| 458 | return (object *)v; |
| 459 | } |
| 460 | |
| 461 | static object * |
| 462 | float_abs(v) |
| 463 | floatobject *v; |
| 464 | { |
| 465 | if (v->ob_fval < 0) |
| 466 | return float_neg(v); |
| 467 | else |
| 468 | return float_pos(v); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 469 | } |
| 470 | |
Guido van Rossum | 50b4ef6 | 1991-05-14 11:57:01 +0000 | [diff] [blame] | 471 | static int |
| 472 | float_nonzero(v) |
| 473 | floatobject *v; |
| 474 | { |
| 475 | return v->ob_fval != 0.0; |
| 476 | } |
| 477 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 478 | static int |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 479 | float_coerce(pv, pw) |
| 480 | object **pv; |
| 481 | object **pw; |
| 482 | { |
| 483 | if (is_intobject(*pw)) { |
| 484 | long x = getintvalue(*pw); |
| 485 | *pw = newfloatobject((double)x); |
| 486 | INCREF(*pv); |
| 487 | return 0; |
| 488 | } |
| 489 | else if (is_longobject(*pw)) { |
| 490 | *pw = newfloatobject(dgetlongvalue(*pw)); |
| 491 | INCREF(*pv); |
| 492 | return 0; |
| 493 | } |
| 494 | return 1; /* Can't do it */ |
| 495 | } |
| 496 | |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 497 | static object * |
| 498 | float_int(v) |
| 499 | object *v; |
| 500 | { |
| 501 | double x = getfloatvalue(v); |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 502 | if (x < 0 ? (x = ceil(x)) < (double)LONG_MIN |
| 503 | : (x = floor(x)) > (double)LONG_MAX) { |
Guido van Rossum | 67ca701 | 1995-02-13 16:38:41 +0000 | [diff] [blame] | 504 | err_setstr(OverflowError, "float too large to convert"); |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 505 | return NULL; |
| 506 | } |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 507 | return newintobject((long)x); |
| 508 | } |
| 509 | |
| 510 | static object * |
| 511 | float_long(v) |
| 512 | object *v; |
| 513 | { |
| 514 | double x = getfloatvalue(v); |
| 515 | return dnewlongobject(x); |
| 516 | } |
| 517 | |
| 518 | static object * |
| 519 | float_float(v) |
| 520 | object *v; |
| 521 | { |
| 522 | INCREF(v); |
| 523 | return v; |
| 524 | } |
| 525 | |
| 526 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 527 | static number_methods float_as_number = { |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 528 | (binaryfunc)float_add, /*nb_add*/ |
| 529 | (binaryfunc)float_sub, /*nb_subtract*/ |
| 530 | (binaryfunc)float_mul, /*nb_multiply*/ |
| 531 | (binaryfunc)float_div, /*nb_divide*/ |
| 532 | (binaryfunc)float_rem, /*nb_remainder*/ |
| 533 | (binaryfunc)float_divmod, /*nb_divmod*/ |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 534 | (ternaryfunc)float_pow, /*nb_power*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 535 | (unaryfunc)float_neg, /*nb_negative*/ |
| 536 | (unaryfunc)float_pos, /*nb_positive*/ |
| 537 | (unaryfunc)float_abs, /*nb_absolute*/ |
| 538 | (inquiry)float_nonzero, /*nb_nonzero*/ |
Guido van Rossum | 27acb33 | 1991-10-24 14:55:28 +0000 | [diff] [blame] | 539 | 0, /*nb_invert*/ |
| 540 | 0, /*nb_lshift*/ |
| 541 | 0, /*nb_rshift*/ |
| 542 | 0, /*nb_and*/ |
| 543 | 0, /*nb_xor*/ |
| 544 | 0, /*nb_or*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 545 | (coercion)float_coerce, /*nb_coerce*/ |
| 546 | (unaryfunc)float_int, /*nb_int*/ |
| 547 | (unaryfunc)float_long, /*nb_long*/ |
| 548 | (unaryfunc)float_float, /*nb_float*/ |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 549 | 0, /*nb_oct*/ |
| 550 | 0, /*nb_hex*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 551 | }; |
| 552 | |
| 553 | typeobject Floattype = { |
| 554 | OB_HEAD_INIT(&Typetype) |
| 555 | 0, |
| 556 | "float", |
| 557 | sizeof(floatobject), |
| 558 | 0, |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 559 | (destructor)float_dealloc, /*tp_dealloc*/ |
| 560 | (printfunc)float_print, /*tp_print*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 561 | 0, /*tp_getattr*/ |
| 562 | 0, /*tp_setattr*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 563 | (cmpfunc)float_compare, /*tp_compare*/ |
| 564 | (reprfunc)float_repr, /*tp_repr*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 565 | &float_as_number, /*tp_as_number*/ |
| 566 | 0, /*tp_as_sequence*/ |
| 567 | 0, /*tp_as_mapping*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 568 | (hashfunc)float_hash, /*tp_hash*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 569 | }; |