Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 1 | /*********************************************************** |
| 2 | Copyright 1991 by Stichting Mathematisch Centrum, Amsterdam, The |
| 3 | Netherlands. |
| 4 | |
| 5 | All Rights Reserved |
| 6 | |
| 7 | Permission to use, copy, modify, and distribute this software and its |
| 8 | documentation for any purpose and without fee is hereby granted, |
| 9 | provided that the above copyright notice appear in all copies and that |
| 10 | both that copyright notice and this permission notice appear in |
| 11 | supporting documentation, and that the names of Stichting Mathematisch |
| 12 | Centrum or CWI not be used in advertising or publicity pertaining to |
| 13 | distribution of the software without specific, written prior permission. |
| 14 | |
| 15 | STICHTING MATHEMATISCH CENTRUM DISCLAIMS ALL WARRANTIES WITH REGARD TO |
| 16 | THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND |
| 17 | FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH CENTRUM BE LIABLE |
| 18 | FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
| 19 | WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN |
| 20 | ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT |
| 21 | OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. |
| 22 | |
| 23 | ******************************************************************/ |
| 24 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 25 | /* Float object implementation */ |
| 26 | |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 27 | /* XXX There should be overflow checks here, but it's hard to check |
| 28 | for any kind of float exception without losing portability. */ |
| 29 | |
Guido van Rossum | 3f5da24 | 1990-12-20 15:06:42 +0000 | [diff] [blame] | 30 | #include "allobjects.h" |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 31 | |
Guido van Rossum | c211ee4 | 1990-12-20 23:06:26 +0000 | [diff] [blame] | 32 | #include <errno.h> |
| 33 | #ifndef errno |
| 34 | extern int errno; |
| 35 | #endif |
| 36 | |
Guido van Rossum | 3f5da24 | 1990-12-20 15:06:42 +0000 | [diff] [blame] | 37 | #include <ctype.h> |
| 38 | #include <math.h> |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 39 | |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 40 | #ifdef HUGE_VAL |
| 41 | #define CHECK(x) if (errno != 0) ; \ |
| 42 | else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ |
| 43 | else errno = ERANGE |
| 44 | #else |
| 45 | #define CHECK(x) /* Don't know how to check */ |
| 46 | #endif |
| 47 | |
Guido van Rossum | 6923e13 | 1990-11-02 17:50:43 +0000 | [diff] [blame] | 48 | #ifndef THINK_C |
| 49 | extern double fmod PROTO((double, double)); |
| 50 | extern double pow PROTO((double, double)); |
| 51 | #endif |
| 52 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 53 | object * |
| 54 | newfloatobject(fval) |
| 55 | double fval; |
| 56 | { |
| 57 | /* For efficiency, this code is copied from newobject() */ |
| 58 | register floatobject *op = (floatobject *) malloc(sizeof(floatobject)); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 59 | if (op == NULL) |
| 60 | return err_nomem(); |
| 61 | NEWREF(op); |
| 62 | op->ob_type = &Floattype; |
| 63 | op->ob_fval = fval; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 64 | return (object *) op; |
| 65 | } |
| 66 | |
| 67 | double |
| 68 | getfloatvalue(op) |
| 69 | object *op; |
| 70 | { |
| 71 | if (!is_floatobject(op)) { |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 72 | err_badarg(); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 73 | return -1; |
| 74 | } |
| 75 | else |
| 76 | return ((floatobject *)op) -> ob_fval; |
| 77 | } |
| 78 | |
| 79 | /* Methods */ |
| 80 | |
Guido van Rossum | 27dec7e | 1991-06-04 19:42:53 +0000 | [diff] [blame] | 81 | void |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 82 | float_buf_repr(buf, v) |
| 83 | char *buf; |
| 84 | floatobject *v; |
| 85 | { |
| 86 | register char *cp; |
| 87 | /* Subroutine for float_repr and float_print. |
| 88 | We want float numbers to be recognizable as such, |
| 89 | i.e., they should contain a decimal point or an exponent. |
| 90 | However, %g may print the number as an integer; |
| 91 | in such cases, we append ".0" to the string. */ |
| 92 | sprintf(buf, "%.12g", v->ob_fval); |
| 93 | cp = buf; |
| 94 | if (*cp == '-') |
| 95 | cp++; |
| 96 | for (; *cp != '\0'; cp++) { |
| 97 | /* Any non-digit means it's not an integer; |
| 98 | this takes care of NAN and INF as well. */ |
| 99 | if (!isdigit(*cp)) |
| 100 | break; |
| 101 | } |
| 102 | if (*cp == '\0') { |
| 103 | *cp++ = '.'; |
| 104 | *cp++ = '0'; |
| 105 | *cp++ = '\0'; |
| 106 | } |
| 107 | } |
| 108 | |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 109 | static int |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 110 | float_print(v, fp, flags) |
| 111 | floatobject *v; |
| 112 | FILE *fp; |
| 113 | int flags; |
| 114 | { |
| 115 | char buf[100]; |
| 116 | float_buf_repr(buf, v); |
| 117 | fputs(buf, fp); |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 118 | return 0; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 119 | } |
| 120 | |
| 121 | static object * |
| 122 | float_repr(v) |
| 123 | floatobject *v; |
| 124 | { |
| 125 | char buf[100]; |
| 126 | float_buf_repr(buf, v); |
| 127 | return newstringobject(buf); |
| 128 | } |
| 129 | |
| 130 | static int |
| 131 | float_compare(v, w) |
| 132 | floatobject *v, *w; |
| 133 | { |
| 134 | double i = v->ob_fval; |
| 135 | double j = w->ob_fval; |
| 136 | return (i < j) ? -1 : (i > j) ? 1 : 0; |
| 137 | } |
| 138 | |
| 139 | static object * |
| 140 | float_add(v, w) |
| 141 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 142 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 143 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 144 | return newfloatobject(v->ob_fval + w->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 145 | } |
| 146 | |
| 147 | static object * |
| 148 | float_sub(v, w) |
| 149 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 150 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 151 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 152 | return newfloatobject(v->ob_fval - w->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 153 | } |
| 154 | |
| 155 | static object * |
| 156 | float_mul(v, w) |
| 157 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 158 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 159 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 160 | return newfloatobject(v->ob_fval * w->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 161 | } |
| 162 | |
| 163 | static object * |
| 164 | float_div(v, w) |
| 165 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 166 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 167 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 168 | if (w->ob_fval == 0) { |
Guido van Rossum | 9a9fadd | 1991-12-10 13:56:55 +0000 | [diff] [blame] | 169 | err_setstr(ZeroDivisionError, "float division"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 170 | return NULL; |
| 171 | } |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 172 | return newfloatobject(v->ob_fval / w->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 173 | } |
| 174 | |
| 175 | static object * |
| 176 | float_rem(v, w) |
| 177 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 178 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 179 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 180 | double vx, wx; |
| 181 | double div, mod; |
| 182 | wx = w->ob_fval; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 183 | if (wx == 0.0) { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 184 | err_setstr(ZeroDivisionError, "float modulo"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 185 | return NULL; |
| 186 | } |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 187 | vx = v->ob_fval; |
| 188 | mod = fmod(vx, wx); |
| 189 | div = (vx - mod) / wx; |
| 190 | if (wx*mod < 0) { |
| 191 | mod += wx; |
| 192 | div -= 1.0; |
| 193 | } |
| 194 | return newfloatobject(mod); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 195 | } |
| 196 | |
| 197 | static object * |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 198 | float_divmod(v, w) |
| 199 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 200 | floatobject *w; |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 201 | { |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 202 | double vx, wx; |
| 203 | double div, mod; |
| 204 | object *t; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 205 | wx = w->ob_fval; |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 206 | if (wx == 0.0) { |
Guido van Rossum | 9a9fadd | 1991-12-10 13:56:55 +0000 | [diff] [blame] | 207 | err_setstr(ZeroDivisionError, "float divmod()"); |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 208 | return NULL; |
| 209 | } |
| 210 | vx = v->ob_fval; |
| 211 | mod = fmod(vx, wx); |
| 212 | div = (vx - mod) / wx; |
| 213 | if (wx*mod < 0) { |
| 214 | mod += wx; |
| 215 | div -= 1.0; |
| 216 | } |
| 217 | t = newtupleobject(2); |
| 218 | if (t != NULL) { |
| 219 | settupleitem(t, 0, newfloatobject(div)); |
| 220 | settupleitem(t, 1, newfloatobject(mod)); |
| 221 | if (err_occurred()) { |
| 222 | DECREF(t); |
| 223 | t = NULL; |
| 224 | } |
| 225 | } |
| 226 | return t; |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 227 | } |
| 228 | |
| 229 | static object * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 230 | float_pow(v, w) |
| 231 | floatobject *v; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 232 | floatobject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 233 | { |
| 234 | double iv, iw, ix; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 235 | iv = v->ob_fval; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame^] | 236 | iw = w->ob_fval; |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 237 | /* Sort out special cases here instead of relying on pow() */ |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 238 | if (iw == 0.0) |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 239 | return newfloatobject(1.0); /* x**0 is 1, even 0**0 */ |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 240 | if (iv == 0.0) { |
| 241 | if (iw < 0.0) { |
Guido van Rossum | 9a9fadd | 1991-12-10 13:56:55 +0000 | [diff] [blame] | 242 | err_setstr(ValueError, "0.0 to the negative power"); |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 243 | return NULL; |
| 244 | } |
| 245 | return newfloatobject(0.0); |
| 246 | } |
| 247 | if (iv < 0.0) { |
Guido van Rossum | 9a9fadd | 1991-12-10 13:56:55 +0000 | [diff] [blame] | 248 | err_setstr(ValueError, "negative float to float power"); |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 249 | return NULL; |
| 250 | } |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 251 | errno = 0; |
| 252 | ix = pow(iv, iw); |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 253 | CHECK(ix); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 254 | if (errno != 0) { |
| 255 | /* XXX could it be another type of error? */ |
| 256 | err_errno(OverflowError); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 257 | return NULL; |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 258 | } |
| 259 | return newfloatobject(ix); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 260 | } |
| 261 | |
| 262 | static object * |
| 263 | float_neg(v) |
| 264 | floatobject *v; |
| 265 | { |
| 266 | return newfloatobject(-v->ob_fval); |
| 267 | } |
| 268 | |
| 269 | static object * |
| 270 | float_pos(v) |
| 271 | floatobject *v; |
| 272 | { |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 273 | INCREF(v); |
| 274 | return (object *)v; |
| 275 | } |
| 276 | |
| 277 | static object * |
| 278 | float_abs(v) |
| 279 | floatobject *v; |
| 280 | { |
| 281 | if (v->ob_fval < 0) |
| 282 | return float_neg(v); |
| 283 | else |
| 284 | return float_pos(v); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 285 | } |
| 286 | |
Guido van Rossum | 50b4ef6 | 1991-05-14 11:57:01 +0000 | [diff] [blame] | 287 | static int |
| 288 | float_nonzero(v) |
| 289 | floatobject *v; |
| 290 | { |
| 291 | return v->ob_fval != 0.0; |
| 292 | } |
| 293 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 294 | static number_methods float_as_number = { |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 295 | float_add, /*nb_add*/ |
| 296 | float_sub, /*nb_subtract*/ |
| 297 | float_mul, /*nb_multiply*/ |
| 298 | float_div, /*nb_divide*/ |
| 299 | float_rem, /*nb_remainder*/ |
| 300 | float_divmod, /*nb_divmod*/ |
| 301 | float_pow, /*nb_power*/ |
| 302 | float_neg, /*nb_negative*/ |
| 303 | float_pos, /*nb_positive*/ |
| 304 | float_abs, /*nb_absolute*/ |
Guido van Rossum | 50b4ef6 | 1991-05-14 11:57:01 +0000 | [diff] [blame] | 305 | float_nonzero, /*nb_nonzero*/ |
Guido van Rossum | 27acb33 | 1991-10-24 14:55:28 +0000 | [diff] [blame] | 306 | 0, /*nb_invert*/ |
| 307 | 0, /*nb_lshift*/ |
| 308 | 0, /*nb_rshift*/ |
| 309 | 0, /*nb_and*/ |
| 310 | 0, /*nb_xor*/ |
| 311 | 0, /*nb_or*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 312 | }; |
| 313 | |
| 314 | typeobject Floattype = { |
| 315 | OB_HEAD_INIT(&Typetype) |
| 316 | 0, |
| 317 | "float", |
| 318 | sizeof(floatobject), |
| 319 | 0, |
| 320 | free, /*tp_dealloc*/ |
| 321 | float_print, /*tp_print*/ |
| 322 | 0, /*tp_getattr*/ |
| 323 | 0, /*tp_setattr*/ |
| 324 | float_compare, /*tp_compare*/ |
| 325 | float_repr, /*tp_repr*/ |
| 326 | &float_as_number, /*tp_as_number*/ |
| 327 | 0, /*tp_as_sequence*/ |
| 328 | 0, /*tp_as_mapping*/ |
| 329 | }; |