📄 floatobject.c
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PyFPE_START_PROTECT("divide", return 0)
a = a / b;
PyFPE_END_PROTECT(a)
return PyFloat_FromDouble(a);
}
static PyObject *
float_rem(PyObject *v, PyObject *w)
{
double vx, wx;
double mod;
CONVERT_TO_DOUBLE(v, vx);
CONVERT_TO_DOUBLE(w, wx);
if (wx == 0.0) {
PyErr_SetString(PyExc_ZeroDivisionError, "float modulo");
return NULL;
}
PyFPE_START_PROTECT("modulo", return 0)
mod = fmod(vx, wx);
/* note: checking mod*wx < 0 is incorrect -- underflows to
0 if wx < sqrt(smallest nonzero double) */
if (mod && ((wx < 0) != (mod < 0))) {
mod += wx;
}
PyFPE_END_PROTECT(mod)
return PyFloat_FromDouble(mod);
}
static PyObject *
float_divmod(PyObject *v, PyObject *w)
{
double vx, wx;
double div, mod, floordiv;
CONVERT_TO_DOUBLE(v, vx);
CONVERT_TO_DOUBLE(w, wx);
if (wx == 0.0) {
PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()");
return NULL;
}
PyFPE_START_PROTECT("divmod", return 0)
mod = fmod(vx, wx);
/* fmod is typically exact, so vx-mod is *mathematically* an
exact multiple of wx. But this is fp arithmetic, and fp
vx - mod is an approximation; the result is that div may
not be an exact integral value after the division, although
it will always be very close to one.
*/
div = (vx - mod) / wx;
if (mod) {
/* ensure the remainder has the same sign as the denominator */
if ((wx < 0) != (mod < 0)) {
mod += wx;
div -= 1.0;
}
}
else {
/* the remainder is zero, and in the presence of signed zeroes
fmod returns different results across platforms; ensure
it has the same sign as the denominator; we'd like to do
"mod = wx * 0.0", but that may get optimized away */
mod *= mod; /* hide "mod = +0" from optimizer */
if (wx < 0.0)
mod = -mod;
}
/* snap quotient to nearest integral value */
if (div) {
floordiv = floor(div);
if (div - floordiv > 0.5)
floordiv += 1.0;
}
else {
/* div is zero - get the same sign as the true quotient */
div *= div; /* hide "div = +0" from optimizers */
floordiv = div * vx / wx; /* zero w/ sign of vx/wx */
}
PyFPE_END_PROTECT(floordiv)
return Py_BuildValue("(dd)", floordiv, mod);
}
static PyObject *
float_floor_div(PyObject *v, PyObject *w)
{
PyObject *t, *r;
t = float_divmod(v, w);
if (t == NULL || t == Py_NotImplemented)
return t;
assert(PyTuple_CheckExact(t));
r = PyTuple_GET_ITEM(t, 0);
Py_INCREF(r);
Py_DECREF(t);
return r;
}
static PyObject *
float_pow(PyObject *v, PyObject *w, PyObject *z)
{
double iv, iw, ix;
if ((PyObject *)z != Py_None) {
PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not "
"allowed unless all arguments are integers");
return NULL;
}
CONVERT_TO_DOUBLE(v, iv);
CONVERT_TO_DOUBLE(w, iw);
/* Sort out special cases here instead of relying on pow() */
if (iw == 0) { /* v**0 is 1, even 0**0 */
PyFPE_START_PROTECT("pow", return NULL)
if ((PyObject *)z != Py_None) {
double iz;
CONVERT_TO_DOUBLE(z, iz);
ix = fmod(1.0, iz);
if (ix != 0 && iz < 0)
ix += iz;
}
else
ix = 1.0;
PyFPE_END_PROTECT(ix)
return PyFloat_FromDouble(ix);
}
if (iv == 0.0) { /* 0**w is error if w<0, else 1 */
if (iw < 0.0) {
PyErr_SetString(PyExc_ZeroDivisionError,
"0.0 cannot be raised to a negative power");
return NULL;
}
return PyFloat_FromDouble(0.0);
}
if (iv < 0.0 && iw != floor(iw)) {
PyErr_SetString(PyExc_ValueError,
"negative number cannot be raised to a fractional power");
return NULL;
}
errno = 0;
PyFPE_START_PROTECT("pow", return NULL)
ix = pow(iv, iw);
PyFPE_END_PROTECT(ix)
Py_ADJUST_ERANGE1(ix);
if (errno != 0) {
assert(errno == ERANGE);
PyErr_SetFromErrno(PyExc_OverflowError);
return NULL;
}
return PyFloat_FromDouble(ix);
}
static PyObject *
float_neg(PyFloatObject *v)
{
return PyFloat_FromDouble(-v->ob_fval);
}
static PyObject *
float_pos(PyFloatObject *v)
{
if (PyFloat_CheckExact(v)) {
Py_INCREF(v);
return (PyObject *)v;
}
else
return PyFloat_FromDouble(v->ob_fval);
}
static PyObject *
float_abs(PyFloatObject *v)
{
return PyFloat_FromDouble(fabs(v->ob_fval));
}
static int
float_nonzero(PyFloatObject *v)
{
return v->ob_fval != 0.0;
}
static int
float_coerce(PyObject **pv, PyObject **pw)
{
if (PyInt_Check(*pw)) {
long x = PyInt_AsLong(*pw);
*pw = PyFloat_FromDouble((double)x);
Py_INCREF(*pv);
return 0;
}
else if (PyLong_Check(*pw)) {
*pw = PyFloat_FromDouble(PyLong_AsDouble(*pw));
Py_INCREF(*pv);
return 0;
}
else if (PyFloat_Check(*pw)) {
Py_INCREF(*pv);
Py_INCREF(*pw);
return 0;
}
return 1; /* Can't do it */
}
static PyObject *
float_int(PyObject *v)
{
double x = PyFloat_AsDouble(v);
double wholepart; /* integral portion of x, rounded toward 0 */
long aslong; /* (long)wholepart */
(void)modf(x, &wholepart);
#ifdef RISCOS
/* conversion from floating to integral type would raise exception */
if (wholepart>LONG_MAX || wholepart<LONG_MIN) {
PyErr_SetString(PyExc_OverflowError, "float too large to convert");
return NULL;
}
#endif
/* doubles may have more bits than longs, or vice versa; and casting
to long may yield gibberish in either case. What really matters
is whether converting back to double again reproduces what we
started with. */
aslong = (long)wholepart;
if ((double)aslong == wholepart)
return PyInt_FromLong(aslong);
PyErr_SetString(PyExc_OverflowError, "float too large to convert");
return NULL;
}
static PyObject *
float_long(PyObject *v)
{
double x = PyFloat_AsDouble(v);
return PyLong_FromDouble(x);
}
static PyObject *
float_float(PyObject *v)
{
Py_INCREF(v);
return v;
}
staticforward PyObject *
float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds);
static PyObject *
float_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
PyObject *x = Py_False; /* Integer zero */
static const char *const kwlist[] = {"x", 0};
if (type != &PyFloat_Type)
return float_subtype_new(type, args, kwds); /* Wimp out */
if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x))
return NULL;
if (PyString_Check(x))
return PyFloat_FromString(x, NULL);
return PyNumber_Float(x);
}
/* Wimpy, slow approach to tp_new calls for subtypes of float:
first create a regular float from whatever arguments we got,
then allocate a subtype instance and initialize its ob_fval
from the regular float. The regular float is then thrown away.
*/
static PyObject *
float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
PyObject *tmp, *new;
assert(PyType_IsSubtype(type, &PyFloat_Type));
tmp = float_new(&PyFloat_Type, args, kwds);
if (tmp == NULL)
return NULL;
assert(PyFloat_CheckExact(tmp));
new = type->tp_alloc(type, 0);
if (new == NULL)
return NULL;
((PyFloatObject *)new)->ob_fval = ((PyFloatObject *)tmp)->ob_fval;
Py_DECREF(tmp);
return new;
}
const static char float_doc[] =
#ifdef SYMBIAN
"";
#else
"float(x) -> floating point number\n\
\n\
Convert a string or number to a floating point number, if possible.";
#endif
const static PyNumberMethods float_as_number = {
(binaryfunc)float_add, /*nb_add*/
(binaryfunc)float_sub, /*nb_subtract*/
(binaryfunc)float_mul, /*nb_multiply*/
(binaryfunc)float_classic_div, /*nb_divide*/
(binaryfunc)float_rem, /*nb_remainder*/
(binaryfunc)float_divmod, /*nb_divmod*/
(ternaryfunc)float_pow, /*nb_power*/
(unaryfunc)float_neg, /*nb_negative*/
(unaryfunc)float_pos, /*nb_positive*/
(unaryfunc)float_abs, /*nb_absolute*/
(inquiry)float_nonzero, /*nb_nonzero*/
0, /*nb_invert*/
0, /*nb_lshift*/
0, /*nb_rshift*/
0, /*nb_and*/
0, /*nb_xor*/
0, /*nb_or*/
(coercion)float_coerce, /*nb_coerce*/
(unaryfunc)float_int, /*nb_int*/
(unaryfunc)float_long, /*nb_long*/
(unaryfunc)float_float, /*nb_float*/
0, /* nb_oct */
0, /* nb_hex */
0, /* nb_inplace_add */
0, /* nb_inplace_subtract */
0, /* nb_inplace_multiply */
0, /* nb_inplace_divide */
0, /* nb_inplace_remainder */
0, /* nb_inplace_power */
0, /* nb_inplace_lshift */
0, /* nb_inplace_rshift */
0, /* nb_inplace_and */
0, /* nb_inplace_xor */
0, /* nb_inplace_or */
float_floor_div, /* nb_floor_divide */
float_div, /* nb_true_divide */
0, /* nb_inplace_floor_divide */
0, /* nb_inplace_true_divide */
};
#ifndef SYMBIAN
PyTypeObject PyFloat_Type = {
PyObject_HEAD_INIT(&PyType_Type)
#else
const PyTypeObject c_PyFloat_Type = {
PyObject_HEAD_INIT(NULL)
#endif
0,
"float",
sizeof(PyFloatObject),
0,
(destructor)float_dealloc, /* tp_dealloc */
(printfunc)float_print, /* tp_print */
0, /* tp_getattr */
0, /* tp_setattr */
(cmpfunc)float_compare, /* tp_compare */
(reprfunc)float_repr, /* tp_repr */
&float_as_number, /* tp_as_number */
0, /* tp_as_sequence */
0, /* tp_as_mapping */
(hashfunc)float_hash, /* tp_hash */
0, /* tp_call */
(reprfunc)float_str, /* tp_str */
PyObject_GenericGetAttr, /* tp_getattro */
0, /* tp_setattro */
0, /* tp_as_buffer */
Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES |
Py_TPFLAGS_BASETYPE, /* tp_flags */
float_doc, /* tp_doc */
0, /* tp_traverse */
0, /* tp_clear */
0, /* tp_richcompare */
0, /* tp_weaklistoffset */
0, /* tp_iter */
0, /* tp_iternext */
0, /* tp_methods */
0, /* tp_members */
0, /* tp_getset */
0, /* tp_base */
0, /* tp_dict */
0, /* tp_descr_get */
0, /* tp_descr_set */
0, /* tp_dictoffset */
0, /* tp_init */
0, /* tp_alloc */
float_new, /* tp_new */
};
DL_EXPORT(void)
PyFloat_Fini(void)
{
PyFloatObject *p;
PyFloatBlock *list, *next;
int i;
int bc, bf; /* block count, number of freed blocks */
int frem, fsum; /* remaining unfreed floats per block, total */
#ifdef SYMBIAN
SPy_Python_globals* pyglobals = PYTHON_GLOBALS; // avoid TLS reads
#endif
bc = 0;
bf = 0;
fsum = 0;
list = block_list;
block_list = NULL;
free_list = NULL;
while (list != NULL) {
bc++;
frem = 0;
for (i = 0, p = &list->objects[0];
i < N_FLOATOBJECTS;
i++, p++) {
if (PyFloat_CheckExact(p) && p->ob_refcnt != 0)
frem++;
}
next = list->next;
if (frem) {
list->next = block_list;
block_list = list;
for (i = 0, p = &list->objects[0];
i < N_FLOATOBJECTS;
i++, p++) {
if (!PyFloat_CheckExact(p) ||
p->ob_refcnt == 0) {
p->ob_type = (struct _typeobject *)
free_list;
free_list = p;
}
}
}
else {
PyMem_FREE(list); /* XXX PyObject_FREE ??? */
bf++;
}
fsum += frem;
list = next;
}
if (!Py_VerboseFlag)
return;
fprintf(stderr, "# cleanup floats");
if (!fsum) {
fprintf(stderr, "\n");
}
else {
fprintf(stderr,
": %d unfreed float%s in %d out of %d block%s\n",
fsum, fsum == 1 ? "" : "s",
bc - bf, bc, bc == 1 ? "" : "s");
}
if (Py_VerboseFlag > 1) {
list = block_list;
while (list != NULL) {
for (i = 0, p = &list->objects[0];
i < N_FLOATOBJECTS;
i++, p++) {
if (PyFloat_CheckExact(p) &&
p->ob_refcnt != 0) {
char buf[100];
PyFloat_AsString(buf, p);
fprintf(stderr,
"# <float at %p, refcnt=%d, val=%s>\n",
p, p->ob_refcnt, buf);
}
}
list = list->next;
}
}
}
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