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 | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 37 | #include "Python.h" |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 38 | |
Guido van Rossum | 3f5da24 | 1990-12-20 15:06:42 +0000 | [diff] [blame] | 39 | #include <ctype.h> |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 40 | #include "mymath.h" |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 41 | |
Guido van Rossum | 9575a44 | 1993-04-07 14:06:14 +0000 | [diff] [blame] | 42 | #ifdef i860 |
| 43 | /* Cray APP has bogus definition of HUGE_VAL in <math.h> */ |
| 44 | #undef HUGE_VAL |
| 45 | #endif |
| 46 | |
Guido van Rossum | 9d81b55 | 1996-06-26 18:27:19 +0000 | [diff] [blame] | 47 | #if defined(HUGE_VAL) && !defined(CHECK) |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 48 | #define CHECK(x) if (errno != 0) ; \ |
| 49 | else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ |
| 50 | else errno = ERANGE |
Guido van Rossum | 9d81b55 | 1996-06-26 18:27:19 +0000 | [diff] [blame] | 51 | #endif |
| 52 | |
| 53 | #ifndef CHECK |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 54 | #define CHECK(x) /* Don't know how to check */ |
| 55 | #endif |
| 56 | |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 57 | #ifdef HAVE_LIMITS_H |
| 58 | #include <limits.h> |
| 59 | #endif |
| 60 | |
| 61 | #ifndef LONG_MAX |
| 62 | #define LONG_MAX 0X7FFFFFFFL |
| 63 | #endif |
| 64 | |
| 65 | #ifndef LONG_MIN |
| 66 | #define LONG_MIN (-LONG_MAX-1) |
| 67 | #endif |
| 68 | |
Guido van Rossum | 67ca701 | 1995-02-13 16:38:41 +0000 | [diff] [blame] | 69 | #ifdef __NeXT__ |
| 70 | #ifdef __sparc__ |
| 71 | /* |
| 72 | * This works around a bug in the NS/Sparc 3.3 pre-release |
| 73 | * limits.h header file. |
| 74 | * 10-Feb-1995 bwarsaw@cnri.reston.va.us |
| 75 | */ |
| 76 | #undef LONG_MIN |
| 77 | #define LONG_MIN (-LONG_MAX-1) |
| 78 | #endif |
| 79 | #endif |
| 80 | |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 81 | #if !defined(__STDC__) && !defined(macintosh) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 82 | extern double fmod Py_PROTO((double, double)); |
| 83 | extern double pow Py_PROTO((double, double)); |
Guido van Rossum | 6923e13 | 1990-11-02 17:50:43 +0000 | [diff] [blame] | 84 | #endif |
| 85 | |
Guido van Rossum | 3c03fa8 | 1997-10-31 17:00:30 +0000 | [diff] [blame] | 86 | #ifdef sun |
| 87 | /* On SunOS4.1 only libm.a exists. Make sure that references to all |
| 88 | needed math functions exist in the executable, so that dynamic |
| 89 | loading of mathmodule does not fail. */ |
| 90 | double (*_Py_math_funcs_hack[])() = { |
| 91 | acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, |
| 92 | fmod, log, log10, pow, sin, sinh, sqrt, tan, tanh |
| 93 | }; |
| 94 | #endif |
| 95 | |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 96 | /* Special free list -- see comments for same code in intobject.c. */ |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 97 | #define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */ |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 98 | #define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */ |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 99 | #define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject)) |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 100 | |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 101 | struct _floatblock { |
| 102 | struct _floatblock *next; |
| 103 | PyFloatObject objects[N_FLOATOBJECTS]; |
| 104 | }; |
| 105 | |
| 106 | typedef struct _floatblock PyFloatBlock; |
| 107 | |
| 108 | static PyFloatBlock *block_list = NULL; |
| 109 | static PyFloatObject *free_list = NULL; |
| 110 | |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 111 | static PyFloatObject * |
| 112 | fill_free_list() |
| 113 | { |
| 114 | PyFloatObject *p, *q; |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 115 | /* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */ |
| 116 | p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock)); |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 117 | if (p == NULL) |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 118 | return (PyFloatObject *) PyErr_NoMemory(); |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 119 | ((PyFloatBlock *)p)->next = block_list; |
| 120 | block_list = (PyFloatBlock *)p; |
| 121 | p = &((PyFloatBlock *)p)->objects[0]; |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 122 | q = p + N_FLOATOBJECTS; |
| 123 | while (--q > p) |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 124 | q->ob_type = (struct _typeobject *)(q-1); |
| 125 | q->ob_type = NULL; |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 126 | return p + N_FLOATOBJECTS - 1; |
| 127 | } |
| 128 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 129 | PyObject * |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 130 | #ifdef __SC__ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 131 | PyFloat_FromDouble(double fval) |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 132 | #else |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 133 | PyFloat_FromDouble(fval) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 134 | double fval; |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 135 | #endif |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 136 | { |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 137 | register PyFloatObject *op; |
| 138 | if (free_list == NULL) { |
| 139 | if ((free_list = fill_free_list()) == NULL) |
| 140 | return NULL; |
| 141 | } |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 142 | /* PyObject_New is inlined */ |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 143 | op = free_list; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 144 | free_list = (PyFloatObject *)op->ob_type; |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 145 | PyObject_INIT(op, &PyFloat_Type); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 146 | op->ob_fval = fval; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 147 | return (PyObject *) op; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 148 | } |
| 149 | |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 150 | PyObject * |
| 151 | PyFloat_FromString(v, pend) |
| 152 | PyObject *v; |
| 153 | char **pend; |
| 154 | { |
| 155 | extern double strtod Py_PROTO((const char *, char **)); |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 156 | const char *s, *last, *end; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 157 | double x; |
| 158 | char buffer[256]; /* For errors */ |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 159 | int len; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 160 | |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 161 | if (PyString_Check(v)) { |
| 162 | s = PyString_AS_STRING(v); |
| 163 | len = PyString_GET_SIZE(v); |
| 164 | } |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 165 | else if (PyUnicode_Check(v)) { |
| 166 | char s_buffer[256]; |
| 167 | |
| 168 | if (PyUnicode_GET_SIZE(v) >= sizeof(s_buffer)) { |
| 169 | PyErr_SetString(PyExc_ValueError, |
| 170 | "float() literal too large to convert"); |
| 171 | return NULL; |
| 172 | } |
| 173 | if (PyUnicode_EncodeDecimal(PyUnicode_AS_UNICODE(v), |
| 174 | PyUnicode_GET_SIZE(v), |
| 175 | s_buffer, |
| 176 | NULL)) |
| 177 | return NULL; |
| 178 | s = s_buffer; |
| 179 | len = strlen(s); |
| 180 | } |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 181 | else if (PyObject_AsCharBuffer(v, &s, &len)) { |
| 182 | PyErr_SetString(PyExc_TypeError, |
| 183 | "float() needs a string argument"); |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 184 | return NULL; |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 185 | } |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 186 | |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 187 | last = s + len; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 188 | while (*s && isspace(Py_CHARMASK(*s))) |
| 189 | s++; |
| 190 | if (s[0] == '\0') { |
| 191 | PyErr_SetString(PyExc_ValueError, "empty string for float()"); |
| 192 | return NULL; |
| 193 | } |
| 194 | errno = 0; |
| 195 | PyFPE_START_PROTECT("PyFloat_FromString", return 0) |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 196 | x = strtod((char *)s, (char **)&end); |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 197 | PyFPE_END_PROTECT(x) |
| 198 | /* Believe it or not, Solaris 2.6 can move end *beyond* the null |
| 199 | byte at the end of the string, when the input is inf(inity) */ |
| 200 | if (end > last) |
| 201 | end = last; |
| 202 | while (*end && isspace(Py_CHARMASK(*end))) |
| 203 | end++; |
| 204 | if (*end != '\0') { |
| 205 | sprintf(buffer, "invalid literal for float(): %.200s", s); |
| 206 | PyErr_SetString(PyExc_ValueError, buffer); |
| 207 | return NULL; |
| 208 | } |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 209 | else if (end != last) { |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 210 | PyErr_SetString(PyExc_ValueError, |
| 211 | "null byte in argument for float()"); |
| 212 | return NULL; |
| 213 | } |
| 214 | else if (errno != 0) { |
| 215 | sprintf(buffer, "float() literal too large: %.200s", s); |
| 216 | PyErr_SetString(PyExc_ValueError, buffer); |
| 217 | return NULL; |
| 218 | } |
| 219 | if (pend) |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 220 | *pend = (char *)end; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 221 | return PyFloat_FromDouble(x); |
| 222 | } |
| 223 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 224 | static void |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 225 | float_dealloc(op) |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 226 | PyFloatObject *op; |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 227 | { |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 228 | op->ob_type = (struct _typeobject *)free_list; |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 229 | free_list = op; |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 230 | } |
| 231 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 232 | double |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 233 | PyFloat_AsDouble(op) |
| 234 | PyObject *op; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 235 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 236 | PyNumberMethods *nb; |
| 237 | PyFloatObject *fo; |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 238 | double val; |
| 239 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 240 | if (op && PyFloat_Check(op)) |
| 241 | return PyFloat_AS_DOUBLE((PyFloatObject*) op); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 242 | |
| 243 | if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || |
| 244 | nb->nb_float == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 245 | PyErr_BadArgument(); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 246 | return -1; |
| 247 | } |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 248 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 249 | fo = (PyFloatObject*) (*nb->nb_float) (op); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 250 | if (fo == NULL) |
| 251 | return -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 252 | if (!PyFloat_Check(fo)) { |
| 253 | PyErr_SetString(PyExc_TypeError, |
| 254 | "nb_float should return float object"); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 255 | return -1; |
| 256 | } |
| 257 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 258 | val = PyFloat_AS_DOUBLE(fo); |
| 259 | Py_DECREF(fo); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 260 | |
| 261 | return val; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 262 | } |
| 263 | |
| 264 | /* Methods */ |
| 265 | |
Guido van Rossum | 27dec7e | 1991-06-04 19:42:53 +0000 | [diff] [blame] | 266 | void |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 267 | PyFloat_AsStringEx(buf, v, precision) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 268 | char *buf; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 269 | PyFloatObject *v; |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 270 | int precision; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 271 | { |
| 272 | register char *cp; |
| 273 | /* Subroutine for float_repr and float_print. |
| 274 | We want float numbers to be recognizable as such, |
| 275 | i.e., they should contain a decimal point or an exponent. |
| 276 | However, %g may print the number as an integer; |
| 277 | in such cases, we append ".0" to the string. */ |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 278 | sprintf(buf, "%.*g", precision, v->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 279 | cp = buf; |
| 280 | if (*cp == '-') |
| 281 | cp++; |
| 282 | for (; *cp != '\0'; cp++) { |
| 283 | /* Any non-digit means it's not an integer; |
| 284 | this takes care of NAN and INF as well. */ |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 285 | if (!isdigit(Py_CHARMASK(*cp))) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 286 | break; |
| 287 | } |
| 288 | if (*cp == '\0') { |
| 289 | *cp++ = '.'; |
| 290 | *cp++ = '0'; |
| 291 | *cp++ = '\0'; |
| 292 | } |
| 293 | } |
| 294 | |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 295 | /* Precisions used by repr() and str(), respectively. |
| 296 | |
| 297 | The repr() precision (17 significant decimal digits) is the minimal number |
| 298 | that is guaranteed to have enough precision so that if the number is read |
| 299 | back in the exact same binary value is recreated. This is true for IEEE |
| 300 | floating point by design, and also happens to work for all other modern |
| 301 | hardware. |
| 302 | |
| 303 | The str() precision is chosen so that in most cases, the rounding noise |
| 304 | created by various operations is suppressed, while giving plenty of |
| 305 | precision for practical use. |
| 306 | |
| 307 | */ |
| 308 | |
| 309 | #define PREC_REPR 17 |
| 310 | #define PREC_STR 12 |
| 311 | |
| 312 | void |
| 313 | PyFloat_AsString(buf, v) |
| 314 | char *buf; |
| 315 | PyFloatObject *v; |
| 316 | { |
| 317 | PyFloat_AsStringEx(buf, v, PREC_STR); |
| 318 | } |
| 319 | |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 320 | /* ARGSUSED */ |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 321 | static int |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 322 | float_print(v, fp, flags) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 323 | PyFloatObject *v; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 324 | FILE *fp; |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 325 | int flags; /* Not used but required by interface */ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 326 | { |
| 327 | char buf[100]; |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 328 | PyFloat_AsStringEx(buf, v, flags&Py_PRINT_RAW ? PREC_STR : PREC_REPR); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 329 | fputs(buf, fp); |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 330 | return 0; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 331 | } |
| 332 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 333 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 334 | float_repr(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 335 | PyFloatObject *v; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 336 | { |
| 337 | char buf[100]; |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 338 | PyFloat_AsStringEx(buf, v, PREC_REPR); |
| 339 | return PyString_FromString(buf); |
| 340 | } |
| 341 | |
| 342 | static PyObject * |
| 343 | float_str(v) |
| 344 | PyFloatObject *v; |
| 345 | { |
| 346 | char buf[100]; |
| 347 | PyFloat_AsStringEx(buf, v, PREC_STR); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 348 | return PyString_FromString(buf); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 349 | } |
| 350 | |
| 351 | static int |
| 352 | float_compare(v, w) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 353 | PyFloatObject *v, *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 354 | { |
| 355 | double i = v->ob_fval; |
| 356 | double j = w->ob_fval; |
| 357 | return (i < j) ? -1 : (i > j) ? 1 : 0; |
| 358 | } |
| 359 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 360 | static long |
| 361 | float_hash(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 362 | PyFloatObject *v; |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 363 | { |
| 364 | double intpart, fractpart; |
| 365 | int expo; |
| 366 | long x; |
| 367 | /* This is designed so that Python numbers with the same |
| 368 | value hash to the same value, otherwise comparisons |
| 369 | of mapping keys will turn out weird */ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 370 | |
| 371 | #ifdef MPW /* MPW C modf expects pointer to extended as second argument */ |
| 372 | { |
| 373 | extended e; |
| 374 | fractpart = modf(v->ob_fval, &e); |
| 375 | intpart = e; |
| 376 | } |
| 377 | #else |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 378 | fractpart = modf(v->ob_fval, &intpart); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 379 | #endif |
| 380 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 381 | if (fractpart == 0.0) { |
| 382 | if (intpart > 0x7fffffffL || -intpart > 0x7fffffffL) { |
| 383 | /* Convert to long int and use its hash... */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 384 | PyObject *w = PyLong_FromDouble(v->ob_fval); |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 385 | if (w == NULL) |
| 386 | return -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 387 | x = PyObject_Hash(w); |
| 388 | Py_DECREF(w); |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 389 | return x; |
| 390 | } |
| 391 | x = (long)intpart; |
| 392 | } |
| 393 | else { |
Guido van Rossum | 919cf1a | 1997-01-11 19:26:21 +0000 | [diff] [blame] | 394 | /* Note -- if you change this code, also change the copy |
| 395 | in complexobject.c */ |
| 396 | long hipart; |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 397 | fractpart = frexp(fractpart, &expo); |
Guido van Rossum | 919cf1a | 1997-01-11 19:26:21 +0000 | [diff] [blame] | 398 | fractpart = fractpart * 2147483648.0; /* 2**31 */ |
| 399 | hipart = (long)fractpart; /* Take the top 32 bits */ |
| 400 | fractpart = (fractpart - (double)hipart) * 2147483648.0; |
| 401 | /* Get the next 32 bits */ |
| 402 | x = hipart + (long)fractpart + (long)intpart + (expo << 15); |
| 403 | /* Combine everything */ |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 404 | } |
| 405 | if (x == -1) |
| 406 | x = -2; |
| 407 | return x; |
| 408 | } |
| 409 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 410 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 411 | float_add(v, w) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 412 | PyFloatObject *v; |
| 413 | PyFloatObject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 414 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 415 | double result; |
| 416 | PyFPE_START_PROTECT("add", return 0) |
| 417 | result = v->ob_fval + w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 418 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 419 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 420 | } |
| 421 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 422 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 423 | float_sub(v, w) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 424 | PyFloatObject *v; |
| 425 | PyFloatObject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 426 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 427 | double result; |
| 428 | PyFPE_START_PROTECT("subtract", return 0) |
| 429 | result = v->ob_fval - w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 430 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 431 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 432 | } |
| 433 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 434 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 435 | float_mul(v, w) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 436 | PyFloatObject *v; |
| 437 | PyFloatObject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 438 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 439 | double result; |
| 440 | |
| 441 | PyFPE_START_PROTECT("multiply", return 0) |
| 442 | result = v->ob_fval * w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 443 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 444 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 445 | } |
| 446 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 447 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 448 | float_div(v, w) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 449 | PyFloatObject *v; |
| 450 | PyFloatObject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 451 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 452 | double result; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 453 | if (w->ob_fval == 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 454 | PyErr_SetString(PyExc_ZeroDivisionError, "float division"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 455 | return NULL; |
| 456 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 457 | PyFPE_START_PROTECT("divide", return 0) |
| 458 | result = v->ob_fval / w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 459 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 460 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 461 | } |
| 462 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 463 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 464 | float_rem(v, w) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 465 | PyFloatObject *v; |
| 466 | PyFloatObject *w; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 467 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 468 | double vx, wx; |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 469 | double mod; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 470 | wx = w->ob_fval; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 471 | if (wx == 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 472 | PyErr_SetString(PyExc_ZeroDivisionError, "float modulo"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 473 | return NULL; |
| 474 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 475 | PyFPE_START_PROTECT("modulo", return 0) |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 476 | vx = v->ob_fval; |
| 477 | mod = fmod(vx, wx); |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 478 | /* note: checking mod*wx < 0 is incorrect -- underflows to |
| 479 | 0 if wx < sqrt(smallest nonzero double) */ |
| 480 | if (mod && ((wx < 0) != (mod < 0))) { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 481 | mod += wx; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 482 | } |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 483 | PyFPE_END_PROTECT(mod) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 484 | return PyFloat_FromDouble(mod); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 485 | } |
| 486 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 487 | static PyObject * |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 488 | float_divmod(v, w) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 489 | PyFloatObject *v; |
| 490 | PyFloatObject *w; |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 491 | { |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 492 | double vx, wx; |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 493 | double div, mod, floordiv; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 494 | wx = w->ob_fval; |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 495 | if (wx == 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 496 | PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()"); |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 497 | return NULL; |
| 498 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 499 | PyFPE_START_PROTECT("divmod", return 0) |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 500 | vx = v->ob_fval; |
| 501 | mod = fmod(vx, wx); |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 502 | /* fmod is typically exact, so vx-mod is *mathemtically* an |
| 503 | exact multiple of wx. But this is fp arithmetic, and fp |
| 504 | vx - mod is an approximation; the result is that div may |
| 505 | not be an exact integral value after the division, although |
| 506 | it will always be very close to one. |
| 507 | */ |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 508 | div = (vx - mod) / wx; |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 509 | /* note: checking mod*wx < 0 is incorrect -- underflows to |
| 510 | 0 if wx < sqrt(smallest nonzero double) */ |
| 511 | if (mod && ((wx < 0) != (mod < 0))) { |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 512 | mod += wx; |
| 513 | div -= 1.0; |
| 514 | } |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 515 | /* snap quotient to nearest integral value */ |
| 516 | floordiv = floor(div); |
| 517 | if (div - floordiv > 0.5) |
| 518 | floordiv += 1.0; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 519 | PyFPE_END_PROTECT(div) |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 520 | return Py_BuildValue("(dd)", floordiv, mod); |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 521 | } |
| 522 | |
Guido van Rossum | 363078a | 1996-05-24 20:45:01 +0000 | [diff] [blame] | 523 | static double powu(x, n) |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 524 | double x; |
| 525 | long n; |
| 526 | { |
| 527 | double r = 1.; |
| 528 | double p = x; |
| 529 | long mask = 1; |
| 530 | while (mask > 0 && n >= mask) { |
| 531 | if (n & mask) |
| 532 | r *= p; |
| 533 | mask <<= 1; |
| 534 | p *= p; |
| 535 | } |
| 536 | return r; |
| 537 | } |
| 538 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 539 | static PyObject * |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 540 | float_pow(v, w, z) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 541 | PyFloatObject *v; |
| 542 | PyObject *w; |
| 543 | PyFloatObject *z; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 544 | { |
| 545 | double iv, iw, ix; |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 546 | long intw; |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 547 | /* XXX Doesn't handle overflows if z!=None yet; it may never do so :( |
| 548 | * The z parameter is really only going to be useful for integers and |
| 549 | * long integers. Maybe something clever with logarithms could be done. |
| 550 | * [AMK] |
| 551 | */ |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 552 | iv = v->ob_fval; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 553 | iw = ((PyFloatObject *)w)->ob_fval; |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 554 | intw = (long)iw; |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 555 | if (iw == intw && -10000 < intw && intw < 10000) { |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 556 | /* Sort out special cases here instead of relying on pow() */ |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 557 | if (intw == 0) { /* x**0 is 1, even 0**0 */ |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 558 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 559 | if ((PyObject *)z!=Py_None) { |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 560 | ix=fmod(1.0, z->ob_fval); |
| 561 | if (ix!=0 && z->ob_fval<0) ix+=z->ob_fval; |
| 562 | } |
| 563 | else ix=1.0; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 564 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 565 | return PyFloat_FromDouble(ix); |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 566 | } |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 567 | errno = 0; |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 568 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 569 | if (intw > 0) |
| 570 | ix = powu(iv, intw); |
| 571 | else |
| 572 | ix = 1./powu(iv, -intw); |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 573 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 574 | } |
| 575 | else { |
| 576 | /* Sort out special cases here instead of relying on pow() */ |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 577 | if (iv == 0.0) { |
| 578 | if (iw < 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 579 | PyErr_SetString(PyExc_ValueError, |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 580 | "0.0 to a negative power"); |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 581 | return NULL; |
| 582 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 583 | return PyFloat_FromDouble(0.0); |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 584 | } |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 585 | if (iv < 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 586 | PyErr_SetString(PyExc_ValueError, |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 587 | "negative number to a float power"); |
| 588 | return NULL; |
| 589 | } |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 590 | errno = 0; |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 591 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 592 | ix = pow(iv, iw); |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 593 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 594 | } |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 595 | CHECK(ix); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 596 | if (errno != 0) { |
| 597 | /* XXX could it be another type of error? */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 598 | PyErr_SetFromErrno(PyExc_OverflowError); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 599 | return NULL; |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 600 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 601 | if ((PyObject *)z!=Py_None) { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 602 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 603 | ix=fmod(ix, z->ob_fval); /* XXX To Be Rewritten */ |
| 604 | if ( ix!=0 && |
| 605 | ((iv<0 && z->ob_fval>0) || (iv>0 && z->ob_fval<0) )) { |
| 606 | ix+=z->ob_fval; |
| 607 | } |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 608 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 609 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 610 | return PyFloat_FromDouble(ix); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 611 | } |
| 612 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 613 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 614 | float_neg(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 615 | PyFloatObject *v; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 616 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 617 | return PyFloat_FromDouble(-v->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 618 | } |
| 619 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 620 | static PyObject * |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 621 | float_pos(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 622 | PyFloatObject *v; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 623 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 624 | Py_INCREF(v); |
| 625 | return (PyObject *)v; |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 626 | } |
| 627 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 628 | static PyObject * |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 629 | float_abs(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 630 | PyFloatObject *v; |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 631 | { |
| 632 | if (v->ob_fval < 0) |
| 633 | return float_neg(v); |
| 634 | else |
| 635 | return float_pos(v); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 636 | } |
| 637 | |
Guido van Rossum | 50b4ef6 | 1991-05-14 11:57:01 +0000 | [diff] [blame] | 638 | static int |
| 639 | float_nonzero(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 640 | PyFloatObject *v; |
Guido van Rossum | 50b4ef6 | 1991-05-14 11:57:01 +0000 | [diff] [blame] | 641 | { |
| 642 | return v->ob_fval != 0.0; |
| 643 | } |
| 644 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 645 | static int |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 646 | float_coerce(pv, pw) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 647 | PyObject **pv; |
| 648 | PyObject **pw; |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 649 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 650 | if (PyInt_Check(*pw)) { |
| 651 | long x = PyInt_AsLong(*pw); |
| 652 | *pw = PyFloat_FromDouble((double)x); |
| 653 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 654 | return 0; |
| 655 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 656 | else if (PyLong_Check(*pw)) { |
| 657 | *pw = PyFloat_FromDouble(PyLong_AsDouble(*pw)); |
| 658 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 659 | return 0; |
| 660 | } |
| 661 | return 1; /* Can't do it */ |
| 662 | } |
| 663 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 664 | static PyObject * |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 665 | float_int(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 666 | PyObject *v; |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 667 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 668 | double x = PyFloat_AsDouble(v); |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 669 | if (x < 0 ? (x = ceil(x)) < (double)LONG_MIN |
| 670 | : (x = floor(x)) > (double)LONG_MAX) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 671 | PyErr_SetString(PyExc_OverflowError, |
| 672 | "float too large to convert"); |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 673 | return NULL; |
| 674 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 675 | return PyInt_FromLong((long)x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 676 | } |
| 677 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 678 | static PyObject * |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 679 | float_long(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 680 | PyObject *v; |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 681 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 682 | double x = PyFloat_AsDouble(v); |
| 683 | return PyLong_FromDouble(x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 684 | } |
| 685 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 686 | static PyObject * |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 687 | float_float(v) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 688 | PyObject *v; |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 689 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 690 | Py_INCREF(v); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 691 | return v; |
| 692 | } |
| 693 | |
| 694 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 695 | static PyNumberMethods float_as_number = { |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 696 | (binaryfunc)float_add, /*nb_add*/ |
| 697 | (binaryfunc)float_sub, /*nb_subtract*/ |
| 698 | (binaryfunc)float_mul, /*nb_multiply*/ |
| 699 | (binaryfunc)float_div, /*nb_divide*/ |
| 700 | (binaryfunc)float_rem, /*nb_remainder*/ |
| 701 | (binaryfunc)float_divmod, /*nb_divmod*/ |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 702 | (ternaryfunc)float_pow, /*nb_power*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 703 | (unaryfunc)float_neg, /*nb_negative*/ |
| 704 | (unaryfunc)float_pos, /*nb_positive*/ |
| 705 | (unaryfunc)float_abs, /*nb_absolute*/ |
| 706 | (inquiry)float_nonzero, /*nb_nonzero*/ |
Guido van Rossum | 27acb33 | 1991-10-24 14:55:28 +0000 | [diff] [blame] | 707 | 0, /*nb_invert*/ |
| 708 | 0, /*nb_lshift*/ |
| 709 | 0, /*nb_rshift*/ |
| 710 | 0, /*nb_and*/ |
| 711 | 0, /*nb_xor*/ |
| 712 | 0, /*nb_or*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 713 | (coercion)float_coerce, /*nb_coerce*/ |
| 714 | (unaryfunc)float_int, /*nb_int*/ |
| 715 | (unaryfunc)float_long, /*nb_long*/ |
| 716 | (unaryfunc)float_float, /*nb_float*/ |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 717 | 0, /*nb_oct*/ |
| 718 | 0, /*nb_hex*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 719 | }; |
| 720 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 721 | PyTypeObject PyFloat_Type = { |
| 722 | PyObject_HEAD_INIT(&PyType_Type) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 723 | 0, |
| 724 | "float", |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 725 | sizeof(PyFloatObject), |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 726 | 0, |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 727 | (destructor)float_dealloc, /*tp_dealloc*/ |
| 728 | (printfunc)float_print, /*tp_print*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 729 | 0, /*tp_getattr*/ |
| 730 | 0, /*tp_setattr*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 731 | (cmpfunc)float_compare, /*tp_compare*/ |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 732 | (reprfunc)float_repr, /*tp_repr*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 733 | &float_as_number, /*tp_as_number*/ |
| 734 | 0, /*tp_as_sequence*/ |
| 735 | 0, /*tp_as_mapping*/ |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 736 | (hashfunc)float_hash, /*tp_hash*/ |
| 737 | 0, /*tp_call*/ |
| 738 | (reprfunc)float_str, /*tp_str*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 739 | }; |
Guido van Rossum | fbbd57e | 1997-08-05 02:16:08 +0000 | [diff] [blame] | 740 | |
| 741 | void |
| 742 | PyFloat_Fini() |
| 743 | { |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 744 | PyFloatObject *p; |
| 745 | PyFloatBlock *list, *next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 746 | int i; |
| 747 | int bc, bf; /* block count, number of freed blocks */ |
| 748 | int frem, fsum; /* remaining unfreed floats per block, total */ |
| 749 | |
| 750 | bc = 0; |
| 751 | bf = 0; |
| 752 | fsum = 0; |
| 753 | list = block_list; |
| 754 | block_list = NULL; |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 755 | free_list = NULL; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 756 | while (list != NULL) { |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 757 | bc++; |
| 758 | frem = 0; |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 759 | for (i = 0, p = &list->objects[0]; |
| 760 | i < N_FLOATOBJECTS; |
| 761 | i++, p++) { |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 762 | if (PyFloat_Check(p) && p->ob_refcnt != 0) |
| 763 | frem++; |
| 764 | } |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 765 | next = list->next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 766 | if (frem) { |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 767 | list->next = block_list; |
| 768 | block_list = list; |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 769 | for (i = 0, p = &list->objects[0]; |
| 770 | i < N_FLOATOBJECTS; |
| 771 | i++, p++) { |
| 772 | if (!PyFloat_Check(p) || p->ob_refcnt == 0) { |
| 773 | p->ob_type = (struct _typeobject *) |
| 774 | free_list; |
| 775 | free_list = p; |
| 776 | } |
| 777 | } |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 778 | } |
| 779 | else { |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 780 | PyMem_FREE(list); /* XXX PyObject_FREE ??? */ |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 781 | bf++; |
| 782 | } |
| 783 | fsum += frem; |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 784 | list = next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 785 | } |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 786 | if (!Py_VerboseFlag) |
| 787 | return; |
| 788 | fprintf(stderr, "# cleanup floats"); |
| 789 | if (!fsum) { |
| 790 | fprintf(stderr, "\n"); |
| 791 | } |
| 792 | else { |
| 793 | fprintf(stderr, |
| 794 | ": %d unfreed float%s in %d out of %d block%s\n", |
| 795 | fsum, fsum == 1 ? "" : "s", |
| 796 | bc - bf, bc, bc == 1 ? "" : "s"); |
| 797 | } |
| 798 | if (Py_VerboseFlag > 1) { |
| 799 | list = block_list; |
| 800 | while (list != NULL) { |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 801 | for (i = 0, p = &list->objects[0]; |
| 802 | i < N_FLOATOBJECTS; |
| 803 | i++, p++) { |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 804 | if (PyFloat_Check(p) && p->ob_refcnt != 0) { |
| 805 | char buf[100]; |
| 806 | PyFloat_AsString(buf, p); |
| 807 | fprintf(stderr, |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 808 | "# <float at %lx, refcnt=%d, val=%s>\n", |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 809 | (long)p, p->ob_refcnt, buf); |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 810 | } |
| 811 | } |
| 812 | list = list->next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 813 | } |
| 814 | } |
Guido van Rossum | fbbd57e | 1997-08-05 02:16:08 +0000 | [diff] [blame] | 815 | } |