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complexobject.c
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1110 lines (994 loc) · 31.4 KB
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/* Complex object implementation */
/* Borrows heavily from floatobject.c */
/* Submitted by Jim Hugunin */
#include "Python.h"
#include "pycore_call.h" // _PyObject_CallNoArgs()
#include "pycore_long.h" // _PyLong_GetZero()
#include "pycore_object.h" // _PyObject_Init()
#include "pycore_pymath.h" // _Py_ADJUST_ERANGE2()
#include "structmember.h" // PyMemberDef
/*[clinic input]
class complex "PyComplexObject *" "&PyComplex_Type"
[clinic start generated code]*/
/*[clinic end generated code: output=da39a3ee5e6b4b0d input=819e057d2d10f5ec]*/
#include "clinic/complexobject.c.h"
/* elementary operations on complex numbers */
static Py_complex c_1 = {1., 0.};
Py_complex
_Py_c_sum(Py_complex a, Py_complex b)
{
Py_complex r;
r.real = a.real + b.real;
r.imag = a.imag + b.imag;
return r;
}
Py_complex
_Py_c_diff(Py_complex a, Py_complex b)
{
Py_complex r;
r.real = a.real - b.real;
r.imag = a.imag - b.imag;
return r;
}
Py_complex
_Py_c_neg(Py_complex a)
{
Py_complex r;
r.real = -a.real;
r.imag = -a.imag;
return r;
}
Py_complex
_Py_c_prod(Py_complex a, Py_complex b)
{
Py_complex r;
r.real = a.real*b.real - a.imag*b.imag;
r.imag = a.real*b.imag + a.imag*b.real;
return r;
}
/* Avoid bad optimization on Windows ARM64 until the compiler is fixed */
#ifdef _M_ARM64
#pragma optimize("", off)
#endif
Py_complex
_Py_c_quot(Py_complex a, Py_complex b)
{
/******************************************************************
This was the original algorithm. It's grossly prone to spurious
overflow and underflow errors. It also merrily divides by 0 despite
checking for that(!). The code still serves a doc purpose here, as
the algorithm following is a simple by-cases transformation of this
one:
Py_complex r;
double d = b.real*b.real + b.imag*b.imag;
if (d == 0.)
errno = EDOM;
r.real = (a.real*b.real + a.imag*b.imag)/d;
r.imag = (a.imag*b.real - a.real*b.imag)/d;
return r;
******************************************************************/
/* This algorithm is better, and is pretty obvious: first divide the
* numerators and denominator by whichever of {b.real, b.imag} has
* larger magnitude. The earliest reference I found was to CACM
* Algorithm 116 (Complex Division, Robert L. Smith, Stanford
* University). As usual, though, we're still ignoring all IEEE
* endcases.
*/
Py_complex r; /* the result */
const double abs_breal = b.real < 0 ? -b.real : b.real;
const double abs_bimag = b.imag < 0 ? -b.imag : b.imag;
if (abs_breal >= abs_bimag) {
/* divide tops and bottom by b.real */
if (abs_breal == 0.0) {
errno = EDOM;
r.real = r.imag = 0.0;
}
else {
const double ratio = b.imag / b.real;
const double denom = b.real + b.imag * ratio;
r.real = (a.real + a.imag * ratio) / denom;
r.imag = (a.imag - a.real * ratio) / denom;
}
}
else if (abs_bimag >= abs_breal) {
/* divide tops and bottom by b.imag */
const double ratio = b.real / b.imag;
const double denom = b.real * ratio + b.imag;
assert(b.imag != 0.0);
r.real = (a.real * ratio + a.imag) / denom;
r.imag = (a.imag * ratio - a.real) / denom;
}
else {
/* At least one of b.real or b.imag is a NaN */
r.real = r.imag = Py_NAN;
}
return r;
}
#ifdef _M_ARM64
#pragma optimize("", on)
#endif
Py_complex
_Py_c_pow(Py_complex a, Py_complex b)
{
Py_complex r;
double vabs,len,at,phase;
if (b.real == 0. && b.imag == 0.) {
r.real = 1.;
r.imag = 0.;
}
else if (a.real == 0. && a.imag == 0.) {
if (b.imag != 0. || b.real < 0.)
errno = EDOM;
r.real = 0.;
r.imag = 0.;
}
else {
vabs = hypot(a.real,a.imag);
len = pow(vabs,b.real);
at = atan2(a.imag, a.real);
phase = at*b.real;
if (b.imag != 0.0) {
len /= exp(at*b.imag);
phase += b.imag*log(vabs);
}
r.real = len*cos(phase);
r.imag = len*sin(phase);
}
return r;
}
static Py_complex
c_powu(Py_complex x, long n)
{
Py_complex r, p;
long mask = 1;
r = c_1;
p = x;
while (mask > 0 && n >= mask) {
if (n & mask)
r = _Py_c_prod(r,p);
mask <<= 1;
p = _Py_c_prod(p,p);
}
return r;
}
static Py_complex
c_powi(Py_complex x, long n)
{
if (n > 0)
return c_powu(x,n);
else
return _Py_c_quot(c_1, c_powu(x,-n));
}
double
_Py_c_abs(Py_complex z)
{
/* sets errno = ERANGE on overflow; otherwise errno = 0 */
double result;
if (!Py_IS_FINITE(z.real) || !Py_IS_FINITE(z.imag)) {
/* C99 rules: if either the real or the imaginary part is an
infinity, return infinity, even if the other part is a
NaN. */
if (Py_IS_INFINITY(z.real)) {
result = fabs(z.real);
errno = 0;
return result;
}
if (Py_IS_INFINITY(z.imag)) {
result = fabs(z.imag);
errno = 0;
return result;
}
/* either the real or imaginary part is a NaN,
and neither is infinite. Result should be NaN. */
return Py_NAN;
}
result = hypot(z.real, z.imag);
if (!Py_IS_FINITE(result))
errno = ERANGE;
else
errno = 0;
return result;
}
static PyObject *
complex_subtype_from_c_complex(PyTypeObject *type, Py_complex cval)
{
PyObject *op;
op = type->tp_alloc(type, 0);
if (op != NULL)
((PyComplexObject *)op)->cval = cval;
return op;
}
PyObject *
PyComplex_FromCComplex(Py_complex cval)
{
/* Inline PyObject_New */
PyComplexObject *op = PyObject_Malloc(sizeof(PyComplexObject));
if (op == NULL) {
return PyErr_NoMemory();
}
_PyObject_Init((PyObject*)op, &PyComplex_Type);
op->cval = cval;
return (PyObject *) op;
}
static PyObject *
complex_subtype_from_doubles(PyTypeObject *type, double real, double imag)
{
Py_complex c;
c.real = real;
c.imag = imag;
return complex_subtype_from_c_complex(type, c);
}
PyObject *
PyComplex_FromDoubles(double real, double imag)
{
Py_complex c;
c.real = real;
c.imag = imag;
return PyComplex_FromCComplex(c);
}
double
PyComplex_RealAsDouble(PyObject *op)
{
if (PyComplex_Check(op)) {
return ((PyComplexObject *)op)->cval.real;
}
else {
return PyFloat_AsDouble(op);
}
}
double
PyComplex_ImagAsDouble(PyObject *op)
{
if (PyComplex_Check(op)) {
return ((PyComplexObject *)op)->cval.imag;
}
else {
return 0.0;
}
}
static PyObject *
try_complex_special_method(PyObject *op)
{
PyObject *f;
f = _PyObject_LookupSpecial(op, &_Py_ID(__complex__));
if (f) {
PyObject *res = _PyObject_CallNoArgs(f);
Py_DECREF(f);
if (!res || PyComplex_CheckExact(res)) {
return res;
}
if (!PyComplex_Check(res)) {
PyErr_Format(PyExc_TypeError,
"__complex__ returned non-complex (type %.200s)",
Py_TYPE(res)->tp_name);
Py_DECREF(res);
return NULL;
}
/* Issue #29894: warn if 'res' not of exact type complex. */
if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
"__complex__ returned non-complex (type %.200s). "
"The ability to return an instance of a strict subclass of complex "
"is deprecated, and may be removed in a future version of Python.",
Py_TYPE(res)->tp_name)) {
Py_DECREF(res);
return NULL;
}
return res;
}
return NULL;
}
Py_complex
PyComplex_AsCComplex(PyObject *op)
{
Py_complex cv;
PyObject *newop = NULL;
assert(op);
/* If op is already of type PyComplex_Type, return its value */
if (PyComplex_Check(op)) {
return ((PyComplexObject *)op)->cval;
}
/* If not, use op's __complex__ method, if it exists */
/* return -1 on failure */
cv.real = -1.;
cv.imag = 0.;
newop = try_complex_special_method(op);
if (newop) {
cv = ((PyComplexObject *)newop)->cval;
Py_DECREF(newop);
return cv;
}
else if (PyErr_Occurred()) {
return cv;
}
/* If neither of the above works, interpret op as a float giving the
real part of the result, and fill in the imaginary part as 0. */
else {
/* PyFloat_AsDouble will return -1 on failure */
cv.real = PyFloat_AsDouble(op);
return cv;
}
}
static PyObject *
complex_repr(PyComplexObject *v)
{
int precision = 0;
char format_code = 'r';
PyObject *result = NULL;
/* If these are non-NULL, they'll need to be freed. */
char *pre = NULL;
char *im = NULL;
/* These do not need to be freed. re is either an alias
for pre or a pointer to a constant. lead and tail
are pointers to constants. */
const char *re = NULL;
const char *lead = "";
const char *tail = "";
if (v->cval.real == 0. && copysign(1.0, v->cval.real)==1.0) {
/* Real part is +0: just output the imaginary part and do not
include parens. */
re = "";
im = PyOS_double_to_string(v->cval.imag, format_code,
precision, 0, NULL);
if (!im) {
PyErr_NoMemory();
goto done;
}
} else {
/* Format imaginary part with sign, real part without. Include
parens in the result. */
pre = PyOS_double_to_string(v->cval.real, format_code,
precision, 0, NULL);
if (!pre) {
PyErr_NoMemory();
goto done;
}
re = pre;
im = PyOS_double_to_string(v->cval.imag, format_code,
precision, Py_DTSF_SIGN, NULL);
if (!im) {
PyErr_NoMemory();
goto done;
}
lead = "(";
tail = ")";
}
result = PyUnicode_FromFormat("%s%s%sj%s", lead, re, im, tail);
done:
PyMem_Free(im);
PyMem_Free(pre);
return result;
}
static Py_hash_t
complex_hash(PyComplexObject *v)
{
Py_uhash_t hashreal, hashimag, combined;
hashreal = (Py_uhash_t)_Py_HashDouble((PyObject *) v, v->cval.real);
if (hashreal == (Py_uhash_t)-1)
return -1;
hashimag = (Py_uhash_t)_Py_HashDouble((PyObject *)v, v->cval.imag);
if (hashimag == (Py_uhash_t)-1)
return -1;
/* Note: if the imaginary part is 0, hashimag is 0 now,
* so the following returns hashreal unchanged. This is
* important because numbers of different types that
* compare equal must have the same hash value, so that
* hash(x + 0*j) must equal hash(x).
*/
combined = hashreal + _PyHASH_IMAG * hashimag;
if (combined == (Py_uhash_t)-1)
combined = (Py_uhash_t)-2;
return (Py_hash_t)combined;
}
/* This macro may return! */
#define TO_COMPLEX(obj, c) \
if (PyComplex_Check(obj)) \
c = ((PyComplexObject *)(obj))->cval; \
else if (to_complex(&(obj), &(c)) < 0) \
return (obj)
static int
to_complex(PyObject **pobj, Py_complex *pc)
{
PyObject *obj = *pobj;
pc->real = pc->imag = 0.0;
if (PyLong_Check(obj)) {
pc->real = PyLong_AsDouble(obj);
if (pc->real == -1.0 && PyErr_Occurred()) {
*pobj = NULL;
return -1;
}
return 0;
}
if (PyFloat_Check(obj)) {
pc->real = PyFloat_AsDouble(obj);
return 0;
}
*pobj = Py_NewRef(Py_NotImplemented);
return -1;
}
static PyObject *
complex_add(PyObject *v, PyObject *w)
{
Py_complex result;
Py_complex a, b;
TO_COMPLEX(v, a);
TO_COMPLEX(w, b);
result = _Py_c_sum(a, b);
return PyComplex_FromCComplex(result);
}
static PyObject *
complex_sub(PyObject *v, PyObject *w)
{
Py_complex result;
Py_complex a, b;
TO_COMPLEX(v, a);
TO_COMPLEX(w, b);
result = _Py_c_diff(a, b);
return PyComplex_FromCComplex(result);
}
static PyObject *
complex_mul(PyObject *v, PyObject *w)
{
Py_complex result;
Py_complex a, b;
TO_COMPLEX(v, a);
TO_COMPLEX(w, b);
result = _Py_c_prod(a, b);
return PyComplex_FromCComplex(result);
}
static PyObject *
complex_div(PyObject *v, PyObject *w)
{
Py_complex quot;
Py_complex a, b;
TO_COMPLEX(v, a);
TO_COMPLEX(w, b);
errno = 0;
quot = _Py_c_quot(a, b);
if (errno == EDOM) {
PyErr_SetString(PyExc_ZeroDivisionError, "complex division by zero");
return NULL;
}
return PyComplex_FromCComplex(quot);
}
static PyObject *
complex_pow(PyObject *v, PyObject *w, PyObject *z)
{
Py_complex p;
Py_complex a, b;
TO_COMPLEX(v, a);
TO_COMPLEX(w, b);
if (z != Py_None) {
PyErr_SetString(PyExc_ValueError, "complex modulo");
return NULL;
}
errno = 0;
// Check whether the exponent has a small integer value, and if so use
// a faster and more accurate algorithm.
if (b.imag == 0.0 && b.real == floor(b.real) && fabs(b.real) <= 100.0) {
p = c_powi(a, (long)b.real);
}
else {
p = _Py_c_pow(a, b);
}
_Py_ADJUST_ERANGE2(p.real, p.imag);
if (errno == EDOM) {
PyErr_SetString(PyExc_ZeroDivisionError,
"0.0 to a negative or complex power");
return NULL;
}
else if (errno == ERANGE) {
PyErr_SetString(PyExc_OverflowError,
"complex exponentiation");
return NULL;
}
return PyComplex_FromCComplex(p);
}
static PyObject *
complex_neg(PyComplexObject *v)
{
Py_complex neg;
neg.real = -v->cval.real;
neg.imag = -v->cval.imag;
return PyComplex_FromCComplex(neg);
}
static PyObject *
complex_pos(PyComplexObject *v)
{
if (PyComplex_CheckExact(v)) {
return Py_NewRef(v);
}
else
return PyComplex_FromCComplex(v->cval);
}
static PyObject *
complex_abs(PyComplexObject *v)
{
double result;
result = _Py_c_abs(v->cval);
if (errno == ERANGE) {
PyErr_SetString(PyExc_OverflowError,
"absolute value too large");
return NULL;
}
return PyFloat_FromDouble(result);
}
static int
complex_bool(PyComplexObject *v)
{
return v->cval.real != 0.0 || v->cval.imag != 0.0;
}
static PyObject *
complex_richcompare(PyObject *v, PyObject *w, int op)
{
PyObject *res;
Py_complex i;
int equal;
if (op != Py_EQ && op != Py_NE) {
goto Unimplemented;
}
assert(PyComplex_Check(v));
TO_COMPLEX(v, i);
if (PyLong_Check(w)) {
/* Check for 0.0 imaginary part first to avoid the rich
* comparison when possible.
*/
if (i.imag == 0.0) {
PyObject *j, *sub_res;
j = PyFloat_FromDouble(i.real);
if (j == NULL)
return NULL;
sub_res = PyObject_RichCompare(j, w, op);
Py_DECREF(j);
return sub_res;
}
else {
equal = 0;
}
}
else if (PyFloat_Check(w)) {
equal = (i.real == PyFloat_AsDouble(w) && i.imag == 0.0);
}
else if (PyComplex_Check(w)) {
Py_complex j;
TO_COMPLEX(w, j);
equal = (i.real == j.real && i.imag == j.imag);
}
else {
goto Unimplemented;
}
if (equal == (op == Py_EQ))
res = Py_True;
else
res = Py_False;
return Py_NewRef(res);
Unimplemented:
Py_RETURN_NOTIMPLEMENTED;
}
/*[clinic input]
complex.conjugate
Return the complex conjugate of its argument. (3-4j).conjugate() == 3+4j.
[clinic start generated code]*/
static PyObject *
complex_conjugate_impl(PyComplexObject *self)
/*[clinic end generated code: output=5059ef162edfc68e input=5fea33e9747ec2c4]*/
{
Py_complex c = self->cval;
c.imag = -c.imag;
return PyComplex_FromCComplex(c);
}
/*[clinic input]
complex.__getnewargs__
[clinic start generated code]*/
static PyObject *
complex___getnewargs___impl(PyComplexObject *self)
/*[clinic end generated code: output=689b8206e8728934 input=539543e0a50533d7]*/
{
Py_complex c = self->cval;
return Py_BuildValue("(dd)", c.real, c.imag);
}
/*[clinic input]
complex.__format__
format_spec: unicode
/
Convert to a string according to format_spec.
[clinic start generated code]*/
static PyObject *
complex___format___impl(PyComplexObject *self, PyObject *format_spec)
/*[clinic end generated code: output=bfcb60df24cafea0 input=014ef5488acbe1d5]*/
{
_PyUnicodeWriter writer;
int ret;
_PyUnicodeWriter_Init(&writer);
ret = _PyComplex_FormatAdvancedWriter(
&writer,
(PyObject *)self,
format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
if (ret == -1) {
_PyUnicodeWriter_Dealloc(&writer);
return NULL;
}
return _PyUnicodeWriter_Finish(&writer);
}
/*[clinic input]
complex.__complex__
Convert this value to exact type complex.
[clinic start generated code]*/
static PyObject *
complex___complex___impl(PyComplexObject *self)
/*[clinic end generated code: output=e6b35ba3d275dc9c input=3589ada9d27db854]*/
{
if (PyComplex_CheckExact(self)) {
return Py_NewRef(self);
}
else {
return PyComplex_FromCComplex(self->cval);
}
}
static PyMethodDef complex_methods[] = {
COMPLEX_CONJUGATE_METHODDEF
COMPLEX___COMPLEX___METHODDEF
COMPLEX___GETNEWARGS___METHODDEF
COMPLEX___FORMAT___METHODDEF
{NULL, NULL} /* sentinel */
};
static PyMemberDef complex_members[] = {
{"real", T_DOUBLE, offsetof(PyComplexObject, cval.real), READONLY,
"the real part of a complex number"},
{"imag", T_DOUBLE, offsetof(PyComplexObject, cval.imag), READONLY,
"the imaginary part of a complex number"},
{0},
};
static PyObject *
complex_from_string_inner(const char *s, Py_ssize_t len, void *type)
{
double x=0.0, y=0.0, z;
int got_bracket=0;
const char *start;
char *end;
/* position on first nonblank */
start = s;
while (Py_ISSPACE(*s))
s++;
if (*s == '(') {
/* Skip over possible bracket from repr(). */
got_bracket = 1;
s++;
while (Py_ISSPACE(*s))
s++;
}
/* a valid complex string usually takes one of the three forms:
<float> - real part only
<float>j - imaginary part only
<float><signed-float>j - real and imaginary parts
where <float> represents any numeric string that's accepted by the
float constructor (including 'nan', 'inf', 'infinity', etc.), and
<signed-float> is any string of the form <float> whose first
character is '+' or '-'.
For backwards compatibility, the extra forms
<float><sign>j
<sign>j
j
are also accepted, though support for these forms may be removed from
a future version of Python.
*/
/* first look for forms starting with <float> */
z = PyOS_string_to_double(s, &end, NULL);
if (z == -1.0 && PyErr_Occurred()) {
if (PyErr_ExceptionMatches(PyExc_ValueError))
PyErr_Clear();
else
return NULL;
}
if (end != s) {
/* all 4 forms starting with <float> land here */
s = end;
if (*s == '+' || *s == '-') {
/* <float><signed-float>j | <float><sign>j */
x = z;
y = PyOS_string_to_double(s, &end, NULL);
if (y == -1.0 && PyErr_Occurred()) {
if (PyErr_ExceptionMatches(PyExc_ValueError))
PyErr_Clear();
else
return NULL;
}
if (end != s)
/* <float><signed-float>j */
s = end;
else {
/* <float><sign>j */
y = *s == '+' ? 1.0 : -1.0;
s++;
}
if (!(*s == 'j' || *s == 'J'))
goto parse_error;
s++;
}
else if (*s == 'j' || *s == 'J') {
/* <float>j */
s++;
y = z;
}
else
/* <float> */
x = z;
}
else {
/* not starting with <float>; must be <sign>j or j */
if (*s == '+' || *s == '-') {
/* <sign>j */
y = *s == '+' ? 1.0 : -1.0;
s++;
}
else
/* j */
y = 1.0;
if (!(*s == 'j' || *s == 'J'))
goto parse_error;
s++;
}
/* trailing whitespace and closing bracket */
while (Py_ISSPACE(*s))
s++;
if (got_bracket) {
/* if there was an opening parenthesis, then the corresponding
closing parenthesis should be right here */
if (*s != ')')
goto parse_error;
s++;
while (Py_ISSPACE(*s))
s++;
}
/* we should now be at the end of the string */
if (s-start != len)
goto parse_error;
return complex_subtype_from_doubles(_PyType_CAST(type), x, y);
parse_error:
PyErr_SetString(PyExc_ValueError,
"complex() arg is a malformed string");
return NULL;
}
static PyObject *
complex_subtype_from_string(PyTypeObject *type, PyObject *v)
{
const char *s;
PyObject *s_buffer = NULL, *result = NULL;
Py_ssize_t len;
if (PyUnicode_Check(v)) {
s_buffer = _PyUnicode_TransformDecimalAndSpaceToASCII(v);
if (s_buffer == NULL) {
return NULL;
}
assert(PyUnicode_IS_ASCII(s_buffer));
/* Simply get a pointer to existing ASCII characters. */
s = PyUnicode_AsUTF8AndSize(s_buffer, &len);
assert(s != NULL);
}
else {
PyErr_Format(PyExc_TypeError,
"complex() argument must be a string or a number, not '%.200s'",
Py_TYPE(v)->tp_name);
return NULL;
}
result = _Py_string_to_number_with_underscores(s, len, "complex", v, type,
complex_from_string_inner);
Py_DECREF(s_buffer);
return result;
}
/*[clinic input]
@classmethod
complex.__new__ as complex_new
real as r: object(c_default="NULL") = 0
imag as i: object(c_default="NULL") = 0
Create a complex number from a real part and an optional imaginary part.
This is equivalent to (real + imag*1j) where imag defaults to 0.
[clinic start generated code]*/
static PyObject *
complex_new_impl(PyTypeObject *type, PyObject *r, PyObject *i)
/*[clinic end generated code: output=b6c7dd577b537dc1 input=f4c667f2596d4fd1]*/
{
PyObject *tmp;
PyNumberMethods *nbr, *nbi = NULL;
Py_complex cr, ci;
int own_r = 0;
int cr_is_complex = 0;
int ci_is_complex = 0;
if (r == NULL) {
r = _PyLong_GetZero();
}
/* Special-case for a single argument when type(arg) is complex. */
if (PyComplex_CheckExact(r) && i == NULL &&
type == &PyComplex_Type) {
/* Note that we can't know whether it's safe to return
a complex *subclass* instance as-is, hence the restriction
to exact complexes here. If either the input or the
output is a complex subclass, it will be handled below
as a non-orthogonal vector. */
return Py_NewRef(r);
}
if (PyUnicode_Check(r)) {
if (i != NULL) {
PyErr_SetString(PyExc_TypeError,
"complex() can't take second arg"
" if first is a string");
return NULL;
}
return complex_subtype_from_string(type, r);
}
if (i != NULL && PyUnicode_Check(i)) {
PyErr_SetString(PyExc_TypeError,
"complex() second arg can't be a string");
return NULL;
}
tmp = try_complex_special_method(r);
if (tmp) {
r = tmp;
own_r = 1;
}
else if (PyErr_Occurred()) {
return NULL;
}
nbr = Py_TYPE(r)->tp_as_number;
if (nbr == NULL ||
(nbr->nb_float == NULL && nbr->nb_index == NULL && !PyComplex_Check(r)))
{
PyErr_Format(PyExc_TypeError,
"complex() first argument must be a string or a number, "
"not '%.200s'",
Py_TYPE(r)->tp_name);
if (own_r) {
Py_DECREF(r);
}
return NULL;
}
if (i != NULL) {
nbi = Py_TYPE(i)->tp_as_number;
if (nbi == NULL ||
(nbi->nb_float == NULL && nbi->nb_index == NULL && !PyComplex_Check(i)))
{
PyErr_Format(PyExc_TypeError,
"complex() second argument must be a number, "
"not '%.200s'",
Py_TYPE(i)->tp_name);
if (own_r) {
Py_DECREF(r);
}
return NULL;
}
}
/* If we get this far, then the "real" and "imag" parts should
both be treated as numbers, and the constructor should return a
complex number equal to (real + imag*1j).
Note that we do NOT assume the input to already be in canonical
form; the "real" and "imag" parts might themselves be complex
numbers, which slightly complicates the code below. */
if (PyComplex_Check(r)) {
/* Note that if r is of a complex subtype, we're only
retaining its real & imag parts here, and the return
value is (properly) of the builtin complex type. */
cr = ((PyComplexObject*)r)->cval;
cr_is_complex = 1;
if (own_r) {
Py_DECREF(r);
}
}
else {
/* The "real" part really is entirely real, and contributes
nothing in the imaginary direction.
Just treat it as a double. */
tmp = PyNumber_Float(r);
if (own_r) {
/* r was a newly created complex number, rather
than the original "real" argument. */
Py_DECREF(r);
}
if (tmp == NULL)
return NULL;
assert(PyFloat_Check(tmp));