Guido van Rossum | f70e43a | 1991-02-19 12:39:46 +0000 | [diff] [blame] | 1 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 2 | /* Float object implementation */ |
| 3 | |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 4 | /* XXX There should be overflow checks here, but it's hard to check |
| 5 | for any kind of float exception without losing portability. */ |
| 6 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 7 | #include "Python.h" |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 8 | |
Guido van Rossum | 3f5da24 | 1990-12-20 15:06:42 +0000 | [diff] [blame] | 9 | #include <ctype.h> |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 10 | |
Guido van Rossum | 9575a44 | 1993-04-07 14:06:14 +0000 | [diff] [blame] | 11 | #ifdef i860 |
| 12 | /* Cray APP has bogus definition of HUGE_VAL in <math.h> */ |
| 13 | #undef HUGE_VAL |
| 14 | #endif |
| 15 | |
Guido van Rossum | 9d81b55 | 1996-06-26 18:27:19 +0000 | [diff] [blame] | 16 | #if defined(HUGE_VAL) && !defined(CHECK) |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 17 | #define CHECK(x) if (errno != 0) ; \ |
| 18 | else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ |
| 19 | else errno = ERANGE |
Guido van Rossum | 9d81b55 | 1996-06-26 18:27:19 +0000 | [diff] [blame] | 20 | #endif |
| 21 | |
| 22 | #ifndef CHECK |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 23 | #define CHECK(x) /* Don't know how to check */ |
| 24 | #endif |
| 25 | |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 26 | #ifdef HAVE_LIMITS_H |
| 27 | #include <limits.h> |
| 28 | #endif |
| 29 | |
| 30 | #ifndef LONG_MAX |
Fred Drake | 13634cf | 2000-06-29 19:17:04 +0000 | [diff] [blame] | 31 | #if SIZEOF_LONG == 4 |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 32 | #define LONG_MAX 0X7FFFFFFFL |
Fred Drake | 13634cf | 2000-06-29 19:17:04 +0000 | [diff] [blame] | 33 | #elif SIZEOF_LONG == 8 |
| 34 | #define LONG_MAX 0X7FFFFFFFFFFFFFFFL |
| 35 | #else |
| 36 | #error "could not set LONG_MAX" |
| 37 | #endif |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 38 | #endif |
| 39 | |
| 40 | #ifndef LONG_MIN |
| 41 | #define LONG_MIN (-LONG_MAX-1) |
| 42 | #endif |
| 43 | |
Guido van Rossum | 67ca701 | 1995-02-13 16:38:41 +0000 | [diff] [blame] | 44 | #ifdef __NeXT__ |
| 45 | #ifdef __sparc__ |
| 46 | /* |
| 47 | * This works around a bug in the NS/Sparc 3.3 pre-release |
| 48 | * limits.h header file. |
| 49 | * 10-Feb-1995 bwarsaw@cnri.reston.va.us |
| 50 | */ |
| 51 | #undef LONG_MIN |
| 52 | #define LONG_MIN (-LONG_MAX-1) |
| 53 | #endif |
| 54 | #endif |
| 55 | |
Guido van Rossum | 07e3a7e | 1995-02-27 10:13:37 +0000 | [diff] [blame] | 56 | #if !defined(__STDC__) && !defined(macintosh) |
Tim Peters | dbd9ba6 | 2000-07-09 03:09:57 +0000 | [diff] [blame] | 57 | extern double fmod(double, double); |
| 58 | extern double pow(double, double); |
Guido van Rossum | 6923e13 | 1990-11-02 17:50:43 +0000 | [diff] [blame] | 59 | #endif |
| 60 | |
Guido van Rossum | 3c03fa8 | 1997-10-31 17:00:30 +0000 | [diff] [blame] | 61 | #ifdef sun |
| 62 | /* On SunOS4.1 only libm.a exists. Make sure that references to all |
| 63 | needed math functions exist in the executable, so that dynamic |
| 64 | loading of mathmodule does not fail. */ |
| 65 | double (*_Py_math_funcs_hack[])() = { |
| 66 | acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, |
| 67 | fmod, log, log10, pow, sin, sinh, sqrt, tan, tanh |
| 68 | }; |
| 69 | #endif |
| 70 | |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 71 | /* Special free list -- see comments for same code in intobject.c. */ |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 72 | #define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */ |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 73 | #define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */ |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 74 | #define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject)) |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 75 | |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 76 | struct _floatblock { |
| 77 | struct _floatblock *next; |
| 78 | PyFloatObject objects[N_FLOATOBJECTS]; |
| 79 | }; |
| 80 | |
| 81 | typedef struct _floatblock PyFloatBlock; |
| 82 | |
| 83 | static PyFloatBlock *block_list = NULL; |
| 84 | static PyFloatObject *free_list = NULL; |
| 85 | |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 86 | static PyFloatObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 87 | fill_free_list(void) |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 88 | { |
| 89 | PyFloatObject *p, *q; |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 90 | /* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */ |
| 91 | p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock)); |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 92 | if (p == NULL) |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 93 | return (PyFloatObject *) PyErr_NoMemory(); |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 94 | ((PyFloatBlock *)p)->next = block_list; |
| 95 | block_list = (PyFloatBlock *)p; |
| 96 | p = &((PyFloatBlock *)p)->objects[0]; |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 97 | q = p + N_FLOATOBJECTS; |
| 98 | while (--q > p) |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 99 | q->ob_type = (struct _typeobject *)(q-1); |
| 100 | q->ob_type = NULL; |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 101 | return p + N_FLOATOBJECTS - 1; |
| 102 | } |
| 103 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 104 | PyObject * |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 105 | PyFloat_FromDouble(double fval) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 106 | { |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 107 | register PyFloatObject *op; |
| 108 | if (free_list == NULL) { |
| 109 | if ((free_list = fill_free_list()) == NULL) |
| 110 | return NULL; |
| 111 | } |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 112 | /* PyObject_New is inlined */ |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 113 | op = free_list; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 114 | free_list = (PyFloatObject *)op->ob_type; |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 115 | PyObject_INIT(op, &PyFloat_Type); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 116 | op->ob_fval = fval; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 117 | return (PyObject *) op; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 118 | } |
| 119 | |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 120 | /************************************************************************** |
| 121 | RED_FLAG 22-Sep-2000 tim |
| 122 | PyFloat_FromString's pend argument is braindead. Prior to this RED_FLAG, |
| 123 | |
| 124 | 1. If v was a regular string, *pend was set to point to its terminating |
| 125 | null byte. That's useless (the caller can find that without any |
| 126 | help from this function!). |
| 127 | |
| 128 | 2. If v was a Unicode string, or an object convertible to a character |
| 129 | buffer, *pend was set to point into stack trash (the auto temp |
| 130 | vector holding the character buffer). That was downright dangerous. |
| 131 | |
| 132 | Since we can't change the interface of a public API function, pend is |
| 133 | still supported but now *officially* useless: if pend is not NULL, |
| 134 | *pend is set to NULL. |
| 135 | **************************************************************************/ |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 136 | PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 137 | PyFloat_FromString(PyObject *v, char **pend) |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 138 | { |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 139 | const char *s, *last, *end; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 140 | double x; |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 141 | char buffer[256]; /* for errors */ |
| 142 | char s_buffer[256]; /* for objects convertible to a char buffer */ |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 143 | int len; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 144 | |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 145 | if (pend) |
| 146 | *pend = NULL; |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 147 | if (PyString_Check(v)) { |
| 148 | s = PyString_AS_STRING(v); |
| 149 | len = PyString_GET_SIZE(v); |
| 150 | } |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 151 | else if (PyUnicode_Check(v)) { |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 152 | if (PyUnicode_GET_SIZE(v) >= sizeof(s_buffer)) { |
| 153 | PyErr_SetString(PyExc_ValueError, |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 154 | "Unicode float() literal too long to convert"); |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 155 | return NULL; |
| 156 | } |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 157 | if (PyUnicode_EncodeDecimal(PyUnicode_AS_UNICODE(v), |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 158 | PyUnicode_GET_SIZE(v), |
| 159 | s_buffer, |
| 160 | NULL)) |
| 161 | return NULL; |
| 162 | s = s_buffer; |
Trent Mick | a248fb6 | 2000-08-12 21:37:39 +0000 | [diff] [blame] | 163 | len = (int)strlen(s); |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 164 | } |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 165 | else if (PyObject_AsCharBuffer(v, &s, &len)) { |
| 166 | PyErr_SetString(PyExc_TypeError, |
| 167 | "float() needs a string argument"); |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 168 | return NULL; |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 169 | } |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 170 | |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 171 | last = s + len; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 172 | while (*s && isspace(Py_CHARMASK(*s))) |
| 173 | s++; |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 174 | if (*s == '\0') { |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 175 | PyErr_SetString(PyExc_ValueError, "empty string for float()"); |
| 176 | return NULL; |
| 177 | } |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 178 | /* We don't care about overflow or underflow. If the platform supports |
| 179 | * them, infinities and signed zeroes (on underflow) are fine. |
| 180 | * However, strtod can return 0 for denormalized numbers, where atof |
| 181 | * does not. So (alas!) we special-case a zero result. Note that |
| 182 | * whether strtod sets errno on underflow is not defined, so we can't |
| 183 | * key off errno. |
| 184 | */ |
Tim Peters | 858346e | 2000-09-25 21:01:28 +0000 | [diff] [blame^] | 185 | PyFPE_START_PROTECT("strtod", return NULL) |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 186 | x = strtod(s, (char **)&end); |
Tim Peters | 858346e | 2000-09-25 21:01:28 +0000 | [diff] [blame^] | 187 | PyFPE_END_PROTECT(x) |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 188 | errno = 0; |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 189 | /* Believe it or not, Solaris 2.6 can move end *beyond* the null |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 190 | byte at the end of the string, when the input is inf(inity). */ |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 191 | if (end > last) |
| 192 | end = last; |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 193 | if (end == s) { |
| 194 | sprintf(buffer, "invalid literal for float(): %.200s", s); |
| 195 | PyErr_SetString(PyExc_ValueError, buffer); |
| 196 | return NULL; |
| 197 | } |
| 198 | /* Since end != s, the platform made *some* kind of sense out |
| 199 | of the input. Trust it. */ |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 200 | while (*end && isspace(Py_CHARMASK(*end))) |
| 201 | end++; |
| 202 | if (*end != '\0') { |
| 203 | sprintf(buffer, "invalid literal for float(): %.200s", s); |
| 204 | PyErr_SetString(PyExc_ValueError, buffer); |
| 205 | return NULL; |
| 206 | } |
Guido van Rossum | 4c08d55 | 2000-03-10 22:55:18 +0000 | [diff] [blame] | 207 | else if (end != last) { |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 208 | PyErr_SetString(PyExc_ValueError, |
| 209 | "null byte in argument for float()"); |
| 210 | return NULL; |
| 211 | } |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 212 | if (x == 0.0) { |
| 213 | /* See above -- may have been strtod being anal |
| 214 | about denorms. */ |
Tim Peters | 858346e | 2000-09-25 21:01:28 +0000 | [diff] [blame^] | 215 | PyFPE_START_PROTECT("atof", return NULL) |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 216 | x = atof(s); |
Tim Peters | 858346e | 2000-09-25 21:01:28 +0000 | [diff] [blame^] | 217 | PyFPE_END_PROTECT(x) |
Tim Peters | ef14d73 | 2000-09-23 03:39:17 +0000 | [diff] [blame] | 218 | errno = 0; /* whether atof ever set errno is undefined */ |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 219 | } |
Barry Warsaw | 226ae6c | 1999-10-12 19:54:53 +0000 | [diff] [blame] | 220 | return PyFloat_FromDouble(x); |
| 221 | } |
| 222 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 223 | static void |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 224 | float_dealloc(PyFloatObject *op) |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 225 | { |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 226 | op->ob_type = (struct _typeobject *)free_list; |
Guido van Rossum | 93ad0df | 1997-05-13 21:00:42 +0000 | [diff] [blame] | 227 | free_list = op; |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 228 | } |
| 229 | |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 230 | double |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 231 | PyFloat_AsDouble(PyObject *op) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 232 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 233 | PyNumberMethods *nb; |
| 234 | PyFloatObject *fo; |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 235 | double val; |
| 236 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 237 | if (op && PyFloat_Check(op)) |
| 238 | return PyFloat_AS_DOUBLE((PyFloatObject*) op); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 239 | |
| 240 | if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || |
| 241 | nb->nb_float == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 242 | PyErr_BadArgument(); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 243 | return -1; |
| 244 | } |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 245 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 246 | fo = (PyFloatObject*) (*nb->nb_float) (op); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 247 | if (fo == NULL) |
| 248 | return -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 249 | if (!PyFloat_Check(fo)) { |
| 250 | PyErr_SetString(PyExc_TypeError, |
| 251 | "nb_float should return float object"); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 252 | return -1; |
| 253 | } |
| 254 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 255 | val = PyFloat_AS_DOUBLE(fo); |
| 256 | Py_DECREF(fo); |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 257 | |
| 258 | return val; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 259 | } |
| 260 | |
| 261 | /* Methods */ |
| 262 | |
Guido van Rossum | 27dec7e | 1991-06-04 19:42:53 +0000 | [diff] [blame] | 263 | void |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 264 | PyFloat_AsStringEx(char *buf, PyFloatObject *v, int precision) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 265 | { |
| 266 | register char *cp; |
| 267 | /* Subroutine for float_repr and float_print. |
| 268 | We want float numbers to be recognizable as such, |
| 269 | i.e., they should contain a decimal point or an exponent. |
| 270 | However, %g may print the number as an integer; |
| 271 | in such cases, we append ".0" to the string. */ |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 272 | sprintf(buf, "%.*g", precision, v->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 273 | cp = buf; |
| 274 | if (*cp == '-') |
| 275 | cp++; |
| 276 | for (; *cp != '\0'; cp++) { |
| 277 | /* Any non-digit means it's not an integer; |
| 278 | this takes care of NAN and INF as well. */ |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 279 | if (!isdigit(Py_CHARMASK(*cp))) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 280 | break; |
| 281 | } |
| 282 | if (*cp == '\0') { |
| 283 | *cp++ = '.'; |
| 284 | *cp++ = '0'; |
| 285 | *cp++ = '\0'; |
| 286 | } |
| 287 | } |
| 288 | |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 289 | /* Precisions used by repr() and str(), respectively. |
| 290 | |
| 291 | The repr() precision (17 significant decimal digits) is the minimal number |
| 292 | that is guaranteed to have enough precision so that if the number is read |
| 293 | back in the exact same binary value is recreated. This is true for IEEE |
| 294 | floating point by design, and also happens to work for all other modern |
| 295 | hardware. |
| 296 | |
| 297 | The str() precision is chosen so that in most cases, the rounding noise |
| 298 | created by various operations is suppressed, while giving plenty of |
| 299 | precision for practical use. |
| 300 | |
| 301 | */ |
| 302 | |
| 303 | #define PREC_REPR 17 |
| 304 | #define PREC_STR 12 |
| 305 | |
| 306 | void |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 307 | PyFloat_AsString(char *buf, PyFloatObject *v) |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 308 | { |
| 309 | PyFloat_AsStringEx(buf, v, PREC_STR); |
| 310 | } |
| 311 | |
Guido van Rossum | 3132a5a | 1992-03-27 17:28:44 +0000 | [diff] [blame] | 312 | /* ARGSUSED */ |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 313 | static int |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 314 | float_print(PyFloatObject *v, FILE *fp, int flags) |
| 315 | /* flags -- not used but required by interface */ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 316 | { |
| 317 | char buf[100]; |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 318 | 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] | 319 | fputs(buf, fp); |
Guido van Rossum | 9093361 | 1991-06-07 16:10:43 +0000 | [diff] [blame] | 320 | return 0; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 321 | } |
| 322 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 323 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 324 | float_repr(PyFloatObject *v) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 325 | { |
| 326 | char buf[100]; |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 327 | PyFloat_AsStringEx(buf, v, PREC_REPR); |
| 328 | return PyString_FromString(buf); |
| 329 | } |
| 330 | |
| 331 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 332 | float_str(PyFloatObject *v) |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 333 | { |
| 334 | char buf[100]; |
| 335 | PyFloat_AsStringEx(buf, v, PREC_STR); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 336 | return PyString_FromString(buf); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 337 | } |
| 338 | |
| 339 | static int |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 340 | float_compare(PyFloatObject *v, PyFloatObject *w) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 341 | { |
| 342 | double i = v->ob_fval; |
| 343 | double j = w->ob_fval; |
| 344 | return (i < j) ? -1 : (i > j) ? 1 : 0; |
| 345 | } |
| 346 | |
Fred Drake | 13634cf | 2000-06-29 19:17:04 +0000 | [diff] [blame] | 347 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 348 | static long |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 349 | float_hash(PyFloatObject *v) |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 350 | { |
Tim Peters | 39dce29 | 2000-08-15 03:34:48 +0000 | [diff] [blame] | 351 | return _Py_HashDouble(v->ob_fval); |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 352 | } |
| 353 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 354 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 355 | float_add(PyFloatObject *v, PyFloatObject *w) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 356 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 357 | double result; |
| 358 | PyFPE_START_PROTECT("add", return 0) |
| 359 | result = v->ob_fval + w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 360 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 361 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 362 | } |
| 363 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 364 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 365 | float_sub(PyFloatObject *v, PyFloatObject *w) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 366 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 367 | double result; |
| 368 | PyFPE_START_PROTECT("subtract", return 0) |
| 369 | result = v->ob_fval - w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 370 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 371 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 372 | } |
| 373 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 374 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 375 | float_mul(PyFloatObject *v, PyFloatObject *w) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 376 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 377 | double result; |
| 378 | |
| 379 | PyFPE_START_PROTECT("multiply", return 0) |
| 380 | result = v->ob_fval * w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 381 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 382 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 383 | } |
| 384 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 385 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 386 | float_div(PyFloatObject *v, PyFloatObject *w) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 387 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 388 | double result; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 389 | if (w->ob_fval == 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 390 | PyErr_SetString(PyExc_ZeroDivisionError, "float division"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 391 | return NULL; |
| 392 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 393 | PyFPE_START_PROTECT("divide", return 0) |
| 394 | result = v->ob_fval / w->ob_fval; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 395 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 396 | return PyFloat_FromDouble(result); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 397 | } |
| 398 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 399 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 400 | float_rem(PyFloatObject *v, PyFloatObject *w) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 401 | { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 402 | double vx, wx; |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 403 | double mod; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 404 | wx = w->ob_fval; |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 405 | if (wx == 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 406 | PyErr_SetString(PyExc_ZeroDivisionError, "float modulo"); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 407 | return NULL; |
| 408 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 409 | PyFPE_START_PROTECT("modulo", return 0) |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 410 | vx = v->ob_fval; |
| 411 | mod = fmod(vx, wx); |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 412 | /* note: checking mod*wx < 0 is incorrect -- underflows to |
| 413 | 0 if wx < sqrt(smallest nonzero double) */ |
| 414 | if (mod && ((wx < 0) != (mod < 0))) { |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 415 | mod += wx; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 416 | } |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 417 | PyFPE_END_PROTECT(mod) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 418 | return PyFloat_FromDouble(mod); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 419 | } |
| 420 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 421 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 422 | float_divmod(PyFloatObject *v, PyFloatObject *w) |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 423 | { |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 424 | double vx, wx; |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 425 | double div, mod, floordiv; |
Guido van Rossum | 56cd67a | 1992-01-26 18:16:35 +0000 | [diff] [blame] | 426 | wx = w->ob_fval; |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 427 | if (wx == 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 428 | PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()"); |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 429 | return NULL; |
| 430 | } |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 431 | PyFPE_START_PROTECT("divmod", return 0) |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 432 | vx = v->ob_fval; |
| 433 | mod = fmod(vx, wx); |
Tim Peters | 78fc0b5 | 2000-09-16 03:54:24 +0000 | [diff] [blame] | 434 | /* fmod is typically exact, so vx-mod is *mathematically* an |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 435 | exact multiple of wx. But this is fp arithmetic, and fp |
| 436 | vx - mod is an approximation; the result is that div may |
| 437 | not be an exact integral value after the division, although |
| 438 | it will always be very close to one. |
| 439 | */ |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 440 | div = (vx - mod) / wx; |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 441 | /* note: checking mod*wx < 0 is incorrect -- underflows to |
| 442 | 0 if wx < sqrt(smallest nonzero double) */ |
| 443 | if (mod && ((wx < 0) != (mod < 0))) { |
Guido van Rossum | 15ecff4 | 1991-10-20 20:16:45 +0000 | [diff] [blame] | 444 | mod += wx; |
| 445 | div -= 1.0; |
| 446 | } |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 447 | /* snap quotient to nearest integral value */ |
| 448 | floordiv = floor(div); |
| 449 | if (div - floordiv > 0.5) |
| 450 | floordiv += 1.0; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 451 | PyFPE_END_PROTECT(div) |
Guido van Rossum | 9263e78 | 1999-05-06 14:26:34 +0000 | [diff] [blame] | 452 | return Py_BuildValue("(dd)", floordiv, mod); |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 453 | } |
| 454 | |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 455 | static double powu(double x, long n) |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 456 | { |
| 457 | double r = 1.; |
| 458 | double p = x; |
| 459 | long mask = 1; |
| 460 | while (mask > 0 && n >= mask) { |
| 461 | if (n & mask) |
| 462 | r *= p; |
| 463 | mask <<= 1; |
| 464 | p *= p; |
| 465 | } |
| 466 | return r; |
| 467 | } |
| 468 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 469 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 470 | float_pow(PyFloatObject *v, PyObject *w, PyFloatObject *z) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 471 | { |
| 472 | double iv, iw, ix; |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 473 | long intw; |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 474 | /* XXX Doesn't handle overflows if z!=None yet; it may never do so :( |
| 475 | * The z parameter is really only going to be useful for integers and |
| 476 | * long integers. Maybe something clever with logarithms could be done. |
| 477 | * [AMK] |
| 478 | */ |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 479 | iv = v->ob_fval; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 480 | iw = ((PyFloatObject *)w)->ob_fval; |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 481 | intw = (long)iw; |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 482 | if (iw == intw && -10000 < intw && intw < 10000) { |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 483 | /* Sort out special cases here instead of relying on pow() */ |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 484 | if (intw == 0) { /* x**0 is 1, even 0**0 */ |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 485 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 486 | if ((PyObject *)z!=Py_None) { |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 487 | ix=fmod(1.0, z->ob_fval); |
| 488 | if (ix!=0 && z->ob_fval<0) ix+=z->ob_fval; |
| 489 | } |
| 490 | else ix=1.0; |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 491 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 492 | return PyFloat_FromDouble(ix); |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 493 | } |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 494 | errno = 0; |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 495 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 496 | if (intw > 0) |
| 497 | ix = powu(iv, intw); |
| 498 | else |
| 499 | ix = 1./powu(iv, -intw); |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 500 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | 86c04c2 | 1996-08-09 20:50:14 +0000 | [diff] [blame] | 501 | } |
| 502 | else { |
| 503 | /* Sort out special cases here instead of relying on pow() */ |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 504 | if (iv == 0.0) { |
| 505 | if (iw < 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 506 | PyErr_SetString(PyExc_ValueError, |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 507 | "0.0 to a negative power"); |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 508 | return NULL; |
| 509 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 510 | return PyFloat_FromDouble(0.0); |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 511 | } |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 512 | if (iv < 0.0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 513 | PyErr_SetString(PyExc_ValueError, |
Guido van Rossum | c13bcca | 1996-08-16 20:42:57 +0000 | [diff] [blame] | 514 | "negative number to a float power"); |
| 515 | return NULL; |
| 516 | } |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 517 | errno = 0; |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 518 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | 39739ea | 1996-01-12 01:22:56 +0000 | [diff] [blame] | 519 | ix = pow(iv, iw); |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 520 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | 70d9346 | 1991-05-28 21:57:39 +0000 | [diff] [blame] | 521 | } |
Guido van Rossum | 7fa52f8 | 1991-12-16 15:43:14 +0000 | [diff] [blame] | 522 | CHECK(ix); |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 523 | if (errno != 0) { |
| 524 | /* XXX could it be another type of error? */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 525 | PyErr_SetFromErrno(PyExc_OverflowError); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 526 | return NULL; |
Guido van Rossum | 2a9096b | 1990-10-21 22:15:08 +0000 | [diff] [blame] | 527 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 528 | if ((PyObject *)z!=Py_None) { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 529 | PyFPE_START_PROTECT("pow", return 0) |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 530 | ix=fmod(ix, z->ob_fval); /* XXX To Be Rewritten */ |
| 531 | if ( ix!=0 && |
| 532 | ((iv<0 && z->ob_fval>0) || (iv>0 && z->ob_fval<0) )) { |
| 533 | ix+=z->ob_fval; |
| 534 | } |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 535 | PyFPE_END_PROTECT(ix) |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 536 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 537 | return PyFloat_FromDouble(ix); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 538 | } |
| 539 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 540 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 541 | float_neg(PyFloatObject *v) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 542 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 543 | return PyFloat_FromDouble(-v->ob_fval); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 544 | } |
| 545 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 546 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 547 | float_pos(PyFloatObject *v) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 548 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 549 | Py_INCREF(v); |
| 550 | return (PyObject *)v; |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 551 | } |
| 552 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 553 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 554 | float_abs(PyFloatObject *v) |
Guido van Rossum | eba1b5e | 1991-05-05 20:07:00 +0000 | [diff] [blame] | 555 | { |
| 556 | if (v->ob_fval < 0) |
| 557 | return float_neg(v); |
| 558 | else |
| 559 | return float_pos(v); |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 560 | } |
| 561 | |
Guido van Rossum | 50b4ef6 | 1991-05-14 11:57:01 +0000 | [diff] [blame] | 562 | static int |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 563 | float_nonzero(PyFloatObject *v) |
Guido van Rossum | 50b4ef6 | 1991-05-14 11:57:01 +0000 | [diff] [blame] | 564 | { |
| 565 | return v->ob_fval != 0.0; |
| 566 | } |
| 567 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 568 | static int |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 569 | float_coerce(PyObject **pv, PyObject **pw) |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 570 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 571 | if (PyInt_Check(*pw)) { |
| 572 | long x = PyInt_AsLong(*pw); |
| 573 | *pw = PyFloat_FromDouble((double)x); |
| 574 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 575 | return 0; |
| 576 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 577 | else if (PyLong_Check(*pw)) { |
| 578 | *pw = PyFloat_FromDouble(PyLong_AsDouble(*pw)); |
| 579 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 580 | return 0; |
| 581 | } |
| 582 | return 1; /* Can't do it */ |
| 583 | } |
| 584 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 585 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 586 | float_int(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 587 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 588 | double x = PyFloat_AsDouble(v); |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 589 | if (x < 0 ? (x = ceil(x)) < (double)LONG_MIN |
| 590 | : (x = floor(x)) > (double)LONG_MAX) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 591 | PyErr_SetString(PyExc_OverflowError, |
| 592 | "float too large to convert"); |
Guido van Rossum | 03093a2 | 1994-09-28 15:51:32 +0000 | [diff] [blame] | 593 | return NULL; |
| 594 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 595 | return PyInt_FromLong((long)x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 596 | } |
| 597 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 598 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 599 | float_long(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 600 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 601 | double x = PyFloat_AsDouble(v); |
| 602 | return PyLong_FromDouble(x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 603 | } |
| 604 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 605 | static PyObject * |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 606 | float_float(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 607 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 608 | Py_INCREF(v); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 609 | return v; |
| 610 | } |
| 611 | |
| 612 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 613 | static PyNumberMethods float_as_number = { |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 614 | (binaryfunc)float_add, /*nb_add*/ |
| 615 | (binaryfunc)float_sub, /*nb_subtract*/ |
| 616 | (binaryfunc)float_mul, /*nb_multiply*/ |
| 617 | (binaryfunc)float_div, /*nb_divide*/ |
| 618 | (binaryfunc)float_rem, /*nb_remainder*/ |
| 619 | (binaryfunc)float_divmod, /*nb_divmod*/ |
Guido van Rossum | 0b7d02a | 1994-08-12 12:52:35 +0000 | [diff] [blame] | 620 | (ternaryfunc)float_pow, /*nb_power*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 621 | (unaryfunc)float_neg, /*nb_negative*/ |
| 622 | (unaryfunc)float_pos, /*nb_positive*/ |
| 623 | (unaryfunc)float_abs, /*nb_absolute*/ |
| 624 | (inquiry)float_nonzero, /*nb_nonzero*/ |
Guido van Rossum | 27acb33 | 1991-10-24 14:55:28 +0000 | [diff] [blame] | 625 | 0, /*nb_invert*/ |
| 626 | 0, /*nb_lshift*/ |
| 627 | 0, /*nb_rshift*/ |
| 628 | 0, /*nb_and*/ |
| 629 | 0, /*nb_xor*/ |
| 630 | 0, /*nb_or*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 631 | (coercion)float_coerce, /*nb_coerce*/ |
| 632 | (unaryfunc)float_int, /*nb_int*/ |
| 633 | (unaryfunc)float_long, /*nb_long*/ |
| 634 | (unaryfunc)float_float, /*nb_float*/ |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 635 | 0, /*nb_oct*/ |
| 636 | 0, /*nb_hex*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 637 | }; |
| 638 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 639 | PyTypeObject PyFloat_Type = { |
| 640 | PyObject_HEAD_INIT(&PyType_Type) |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 641 | 0, |
| 642 | "float", |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 643 | sizeof(PyFloatObject), |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 644 | 0, |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 645 | (destructor)float_dealloc, /*tp_dealloc*/ |
| 646 | (printfunc)float_print, /*tp_print*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 647 | 0, /*tp_getattr*/ |
| 648 | 0, /*tp_setattr*/ |
Guido van Rossum | b6775db | 1994-08-01 11:34:53 +0000 | [diff] [blame] | 649 | (cmpfunc)float_compare, /*tp_compare*/ |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 650 | (reprfunc)float_repr, /*tp_repr*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 651 | &float_as_number, /*tp_as_number*/ |
| 652 | 0, /*tp_as_sequence*/ |
| 653 | 0, /*tp_as_mapping*/ |
Guido van Rossum | 57072eb | 1999-12-23 19:00:28 +0000 | [diff] [blame] | 654 | (hashfunc)float_hash, /*tp_hash*/ |
| 655 | 0, /*tp_call*/ |
| 656 | (reprfunc)float_str, /*tp_str*/ |
Guido van Rossum | 85a5fbb | 1990-10-14 12:07:46 +0000 | [diff] [blame] | 657 | }; |
Guido van Rossum | fbbd57e | 1997-08-05 02:16:08 +0000 | [diff] [blame] | 658 | |
| 659 | void |
Fred Drake | fd99de6 | 2000-07-09 05:02:18 +0000 | [diff] [blame] | 660 | PyFloat_Fini(void) |
Guido van Rossum | fbbd57e | 1997-08-05 02:16:08 +0000 | [diff] [blame] | 661 | { |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 662 | PyFloatObject *p; |
| 663 | PyFloatBlock *list, *next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 664 | int i; |
| 665 | int bc, bf; /* block count, number of freed blocks */ |
| 666 | int frem, fsum; /* remaining unfreed floats per block, total */ |
| 667 | |
| 668 | bc = 0; |
| 669 | bf = 0; |
| 670 | fsum = 0; |
| 671 | list = block_list; |
| 672 | block_list = NULL; |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 673 | free_list = NULL; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 674 | while (list != NULL) { |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 675 | bc++; |
| 676 | frem = 0; |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 677 | for (i = 0, p = &list->objects[0]; |
| 678 | i < N_FLOATOBJECTS; |
| 679 | i++, p++) { |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 680 | if (PyFloat_Check(p) && p->ob_refcnt != 0) |
| 681 | frem++; |
| 682 | } |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 683 | next = list->next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 684 | if (frem) { |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 685 | list->next = block_list; |
| 686 | block_list = list; |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 687 | for (i = 0, p = &list->objects[0]; |
| 688 | i < N_FLOATOBJECTS; |
| 689 | i++, p++) { |
| 690 | if (!PyFloat_Check(p) || p->ob_refcnt == 0) { |
| 691 | p->ob_type = (struct _typeobject *) |
| 692 | free_list; |
| 693 | free_list = p; |
| 694 | } |
| 695 | } |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 696 | } |
| 697 | else { |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 698 | PyMem_FREE(list); /* XXX PyObject_FREE ??? */ |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 699 | bf++; |
| 700 | } |
| 701 | fsum += frem; |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 702 | list = next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 703 | } |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 704 | if (!Py_VerboseFlag) |
| 705 | return; |
| 706 | fprintf(stderr, "# cleanup floats"); |
| 707 | if (!fsum) { |
| 708 | fprintf(stderr, "\n"); |
| 709 | } |
| 710 | else { |
| 711 | fprintf(stderr, |
| 712 | ": %d unfreed float%s in %d out of %d block%s\n", |
| 713 | fsum, fsum == 1 ? "" : "s", |
| 714 | bc - bf, bc, bc == 1 ? "" : "s"); |
| 715 | } |
| 716 | if (Py_VerboseFlag > 1) { |
| 717 | list = block_list; |
| 718 | while (list != NULL) { |
Guido van Rossum | d7b5fb8 | 1999-03-19 20:59:40 +0000 | [diff] [blame] | 719 | for (i = 0, p = &list->objects[0]; |
| 720 | i < N_FLOATOBJECTS; |
| 721 | i++, p++) { |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 722 | if (PyFloat_Check(p) && p->ob_refcnt != 0) { |
| 723 | char buf[100]; |
| 724 | PyFloat_AsString(buf, p); |
| 725 | fprintf(stderr, |
Fred Drake | a44d353 | 2000-06-30 15:01:00 +0000 | [diff] [blame] | 726 | "# <float at %p, refcnt=%d, val=%s>\n", |
| 727 | p, p->ob_refcnt, buf); |
Guido van Rossum | 3fce883 | 1999-03-12 19:43:17 +0000 | [diff] [blame] | 728 | } |
| 729 | } |
| 730 | list = list->next; |
Guido van Rossum | f61bbc8 | 1999-03-12 00:12:21 +0000 | [diff] [blame] | 731 | } |
| 732 | } |
Guido van Rossum | fbbd57e | 1997-08-05 02:16:08 +0000 | [diff] [blame] | 733 | } |