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/* Complex object implementation */
/* Borrows heavily from floatobject.c */
/* Submitted by Jim Hugunin */
#include
"Python.h"
#include
"structmember.h"
#ifdef
HAVE_IEEEFP_H
#include
<ieeefp.h>
#endif
#ifndef
WITHOUT_COMPLEX
/* Precisions used by repr() and str(), respectively.
The repr() precision (17 significant decimal digits) is the minimal number
that is guaranteed to have enough precision so that if the number is read
back in the exact same binary value is recreated. This is true for IEEE
floating point by design, and also happens to work for all other modern
hardware.
The str() precision is chosen so that in most cases, the rounding noise
created by various operations is suppressed, while giving plenty of
precision for practical use.
*/
#define
PREC_REPR
17
#define
PREC_STR
12
/* elementary operations on complex numbers */
static
Py_complex
c_1
=
{
1.
,
0.
};
Py_complex
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
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
c_neg
(
Py_complex
a
)
{
Py_complex
r
;
r
.
real
=
-
a
.
real
;
r
.
imag
=
-
a
.
imag
;
return
r
;
}
Py_complex
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
;
}
Py_complex
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
{
/* 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
;
}
return
r
;
}
Py_complex
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
=
c_prod
(
r
,
p
);
mask
<<=
1
;
p
=
c_prod
(
p
,
p
);
}
return
r
;
}
static
Py_complex
c_powi
(
Py_complex
x
,
long
n
)
{
Py_complex
cn
;
if
(
n
>
100
||
n
<
-100
) {
cn
.
real
=
(
double
)
n
;
cn
.
imag
=
0.
;
return
c_pow
(
x
,
cn
);
}
else
if
(
n
>
0
)
return
c_powu
(
x
,
n
);
else
return
c_quot
(
c_1
,
c_powu
(
x
,
-
n
));
}
double
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
)
{
register
PyComplexObject
*
op
;
/* Inline PyObject_New */
op
=
(
PyComplexObject
*
)
PyObject_MALLOC
(
sizeof
(
PyComplexObject
));
if
(
op
==
NULL
)
return
PyErr_NoMemory
();
PyObject_INIT
(
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
;
}
}
Py_complex
PyComplex_AsCComplex
(
PyObject
*
op
)
{
Py_complex
cv
;
PyObject
*
newop
=
NULL
;
static
PyObject
*
complex_str
=
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.
;
if
(
complex_str
==
NULL
) {
if
(!(
complex_str
=
PyString_InternFromString
(
"__complex__"
)))
return
cv
;
}
if
(
PyInstance_Check
(
op
)) {
/* this can go away in python 3000 */
if
(
PyObject_HasAttr
(
op
,
complex_str
)) {
newop
=
PyObject_CallMethod
(
op
,
"__complex__"
,
NULL
);
if
(!
newop
)
return
cv
;
}
/* else try __float__ */
}
else
{
PyObject
*
complexfunc
;
complexfunc
=
_PyType_Lookup
(
op
->
ob_type
,
complex_str
);
/* complexfunc is a borrowed reference */
if
(
complexfunc
) {
newop
=
PyObject_CallFunctionObjArgs
(
complexfunc
,
op
,
NULL
);
if
(!
newop
)
return
cv
;
}
}
if
(
newop
) {
if
(!
PyComplex_Check
(
newop
)) {
PyErr_SetString
(
PyExc_TypeError
,
"__complex__ should return a complex object"
);
Py_DECREF
(
newop
);
return
cv
;
}
cv
=
((
PyComplexObject
*
)
newop
)
->
cval
;
Py_DECREF
(
newop
);
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
void
complex_dealloc
(
PyObject
*
op
)
{
op
->
ob_type
->
tp_free
(
op
);
}
static
void
complex_to_buf
(
char
*
buf
,
int
bufsz
,
PyComplexObject
*
v
,
int
precision
)
{
char
format
[
32
];
if
(
v
->
cval
.
real
==
0.
) {
if
(!
Py_IS_FINITE
(
v
->
cval
.
imag
)) {
if
(
Py_IS_NAN
(
v
->
cval
.
imag
))
strncpy
(
buf
,
"nan*j"
,
6
);
else
if
(
copysign
(
1
,
v
->
cval
.
imag
)
==
1
)
strncpy
(
buf
,
"inf*j"
,
6
);
else
strncpy
(
buf
,
"-inf*j"
,
7
);
}
else
{
PyOS_snprintf
(
format
,
sizeof
(
format
),
"%%.%ig"
,
precision
);
PyOS_ascii_formatd
(
buf
,
bufsz
-
1
,
format
,
v
->
cval
.
imag
);
strncat
(
buf
,
"j"
,
1
);
}
}
else
{
char
re
[
64
],
im
[
64
];
/* Format imaginary part with sign, real part without */
if
(!
Py_IS_FINITE
(
v
->
cval
.
real
)) {
if
(
Py_IS_NAN
(
v
->
cval
.
real
))
strncpy
(
re
,
"nan"
,
4
);
/* else if (copysign(1, v->cval.real) == 1) */
else
if
(
v
->
cval
.
real
>
0
)
strncpy
(
re
,
"inf"
,
4
);
else
strncpy
(
re
,
"-inf"
,
5
);
}
else
{
PyOS_snprintf
(
format
,
sizeof
(
format
),
"%%.%ig"
,
precision
);
PyOS_ascii_formatd
(
re
,
sizeof
(
re
),
format
,
v
->
cval
.
real
);
}
if
(!
Py_IS_FINITE
(
v
->
cval
.
imag
)) {
if
(
Py_IS_NAN
(
v
->
cval
.
imag
))
strncpy
(
im
,
"+nan*"
,
6
);
/* else if (copysign(1, v->cval.imag) == 1) */
else
if
(
v
->
cval
.
imag
>
0
)
strncpy
(
im
,
"+inf*"
,
6
);
else
strncpy
(
im
,
"-inf*"
,
6
);
}
else
{
PyOS_snprintf
(
format
,
sizeof
(
format
),
"%%+.%ig"
,
precision
);
PyOS_ascii_formatd
(
im
,
sizeof
(
im
),
format
,
v
->
cval
.
imag
);
}
PyOS_snprintf
(
buf
,
bufsz
,
"(%s%sj)"
,
re
,
im
);
}
}
static
int
complex_print
(
PyComplexObject
*
v
,
FILE
*
fp
,
int
flags
)
{
char
buf
[
100
];
complex_to_buf
(
buf
,
sizeof
(
buf
),
v
,
(
flags
&
Py_PRINT_RAW
) ?
PREC_STR
:
PREC_REPR
);
Py_BEGIN_ALLOW_THREADS
fputs
(
buf
,
fp
);
Py_END_ALLOW_THREADS
return
0
;
}
static
PyObject
*
complex_repr
(
PyComplexObject
*
v
)
{
char
buf
[
100
];
complex_to_buf
(
buf
,
sizeof
(
buf
),
v
,
PREC_REPR
);
return
PyString_FromString
(
buf
);
}
static
PyObject
*
complex_str
(
PyComplexObject
*
v
)
{
char
buf
[
100
];
complex_to_buf
(
buf
,
sizeof
(
buf
),
v
,
PREC_STR
);
return
PyString_FromString
(
buf
);
}
static
long
complex_hash
(
PyComplexObject
*
v
)
{
long
hashreal
,
hashimag
,
combined
;
hashreal
=
_Py_HashDouble
(
v
->
cval
.
real
);
if
(
hashreal
==
-1
)
return
-1
;
hashimag
=
_Py_HashDouble
(
v
->
cval
.
imag
);
if
(
hashimag
==
-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
+
1000003
*
hashimag
;
if
(
combined
==
-1
)
combined
=
-2
;
return
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
(
PyInt_Check
(
obj
)) {
pc
->
real
=
PyInt_AS_LONG
(
obj
);
return
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
;
}
Py_INCREF
(
Py_NotImplemented
);
*
pobj
=
Py_NotImplemented
;
return
-1
;
}
static
PyObject
*
complex_add
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
Py_complex
result
;
PyFPE_START_PROTECT
(
"complex_add"
,
return
0
)
result
=
c_sum
(
v
->
cval
,
w
->
cval
);
PyFPE_END_PROTECT
(
result
)
return
PyComplex_FromCComplex
(
result
);
}
static
PyObject
*
complex_sub
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
Py_complex
result
;
PyFPE_START_PROTECT
(
"complex_sub"
,
return
0
)
result
=
c_diff
(
v
->
cval
,
w
->
cval
);
PyFPE_END_PROTECT
(
result
)
return
PyComplex_FromCComplex
(
result
);
}
static
PyObject
*
complex_mul
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
Py_complex
result
;
PyFPE_START_PROTECT
(
"complex_mul"
,
return
0
)
result
=
c_prod
(
v
->
cval
,
w
->
cval
);
PyFPE_END_PROTECT
(
result
)
return
PyComplex_FromCComplex
(
result
);
}
static
PyObject
*
complex_div
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
Py_complex
quot
;
PyFPE_START_PROTECT
(
"complex_div"
,
return
0
)
errno
=
0
;
quot
=
c_quot
(
v
->
cval
,
w
->
cval
);
PyFPE_END_PROTECT
(
quot
)
if
(
errno
==
EDOM
) {
PyErr_SetString
(
PyExc_ZeroDivisionError
,
"complex division"
);
return
NULL
;
}
return
PyComplex_FromCComplex
(
quot
);
}
static
PyObject
*
complex_classic_div
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
Py_complex
quot
;
if
(
Py_DivisionWarningFlag
>=
2
&&
PyErr_Warn
(
PyExc_DeprecationWarning
,
"classic complex division"
)
<
0
)
return
NULL
;
PyFPE_START_PROTECT
(
"complex_classic_div"
,
return
0
)
errno
=
0
;
quot
=
c_quot
(
v
->
cval
,
w
->
cval
);
PyFPE_END_PROTECT
(
quot
)
if
(
errno
==
EDOM
) {
PyErr_SetString
(
PyExc_ZeroDivisionError
,
"complex division"
);
return
NULL
;
}
return
PyComplex_FromCComplex
(
quot
);
}
static
PyObject
*
complex_remainder
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
Py_complex
div
,
mod
;
if
(
PyErr_Warn
(
PyExc_DeprecationWarning
,
"complex divmod(), // and % are deprecated"
)
<
0
)
return
NULL
;
errno
=
0
;
div
=
c_quot
(
v
->
cval
,
w
->
cval
);
/* The raw divisor value. */
if
(
errno
==
EDOM
) {
PyErr_SetString
(
PyExc_ZeroDivisionError
,
"complex remainder"
);
return
NULL
;
}
div
.
real
=
floor
(
div
.
real
);
/* Use the floor of the real part. */
div
.
imag
=
0.0
;
mod
=
c_diff
(
v
->
cval
,
c_prod
(
w
->
cval
,
div
));
return
PyComplex_FromCComplex
(
mod
);
}
static
PyObject
*
complex_divmod
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
Py_complex
div
,
mod
;
PyObject
*
d
,
*
m
,
*
z
;
if
(
PyErr_Warn
(
PyExc_DeprecationWarning
,
"complex divmod(), // and % are deprecated"
)
<
0
)
return
NULL
;
errno
=
0
;
div
=
c_quot
(
v
->
cval
,
w
->
cval
);
/* The raw divisor value. */
if
(
errno
==
EDOM
) {
PyErr_SetString
(
PyExc_ZeroDivisionError
,
"complex divmod()"
);
return
NULL
;
}
div
.
real
=
floor
(
div
.
real
);
/* Use the floor of the real part. */
div
.
imag
=
0.0
;
mod
=
c_diff
(
v
->
cval
,
c_prod
(
w
->
cval
,
div
));
d
=
PyComplex_FromCComplex
(
div
);
m
=
PyComplex_FromCComplex
(
mod
);
z
=
PyTuple_Pack
(
2
,
d
,
m
);
Py_XDECREF
(
d
);
Py_XDECREF
(
m
);
return
z
;
}
static
PyObject
*
complex_pow
(
PyObject
*
v
,
PyObject
*
w
,
PyObject
*
z
)
{
Py_complex
p
;
Py_complex
exponent
;
long
int_exponent
;
Py_complex
a
,
b
;
TO_COMPLEX
(
v
,
a
);
TO_COMPLEX
(
w
,
b
);
if
(
z
!=
Py_None
) {
PyErr_SetString
(
PyExc_ValueError
,
"complex modulo"
);
return
NULL
;
}
PyFPE_START_PROTECT
(
"complex_pow"
,
return
0
)
errno
=
0
;
exponent
=
b
;
int_exponent
=
(
long
)
exponent
.
real
;
if
(
exponent
.
imag
==
0.
&&
exponent
.
real
==
int_exponent
)
p
=
c_powi
(
a
,
int_exponent
);
else
p
=
c_pow
(
a
,
exponent
);
PyFPE_END_PROTECT
(
p
)
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_int_div
(
PyComplexObject
*
v
,
PyComplexObject
*
w
)
{
PyObject
*
t
,
*
r
;
if
(
PyErr_Warn
(
PyExc_DeprecationWarning
,
"complex divmod(), // and % are deprecated"
)
<
0
)
return
NULL
;
t
=
complex_divmod
(
v
,
w
);
if
(
t
!=
NULL
) {
r
=
PyTuple_GET_ITEM
(
t
,
0
);
Py_INCREF
(
r
);
Py_DECREF
(
t
);
return
r
;
}
return
NULL
;
}
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
)) {
Py_INCREF
(
v
);
return
(
PyObject
*
)
v
;
}
else
return
PyComplex_FromCComplex
(
v
->
cval
);
}
static
PyObject
*
complex_abs
(
PyComplexObject
*
v
)
{
double
result
;
PyFPE_START_PROTECT
(
"complex_abs"
,
return
0
)
result
=
c_abs
(
v
->
cval
);
PyFPE_END_PROTECT
(
result
)
if
(
errno
==
ERANGE
) {
PyErr_SetString
(
PyExc_OverflowError
,
"absolute value too large"
);
return
NULL
;
}
return
PyFloat_FromDouble
(
result
);
}
static
int
complex_nonzero
(
PyComplexObject
*
v
)
{
return
v
->
cval
.
real
!=
0.0
||
v
->
cval
.
imag
!=
0.0
;
}
static
int
complex_coerce
(
PyObject
*
*
pv
,
PyObject
*
*
pw
)
{
Py_complex
cval
;
cval
.
imag
=
0.
;
if
(
PyInt_Check
(
*
pw
)) {
cval
.
real
=
(
double
)
PyInt_AsLong
(
*
pw
);
*
pw
=
PyComplex_FromCComplex
(
cval
);
Py_INCREF
(
*
pv
);
return
0
;
}
else
if
(
PyLong_Check
(
*
pw
)) {
cval
.
real
=
PyLong_AsDouble
(
*
pw
);
if
(
cval
.
real
==
-1.0
&&
PyErr_Occurred
())
return
-1
;
*
pw
=
PyComplex_FromCComplex
(
cval
);
Py_INCREF
(
*
pv
);
return
0
;
}
else
if
(
PyFloat_Check
(
*
pw
)) {
cval
.
real
=
PyFloat_AsDouble
(
*
pw
);
*
pw
=
PyComplex_FromCComplex
(
cval
);
Py_INCREF
(
*
pv
);
return
0
;
}
else
if
(
PyComplex_Check
(
*
pw
)) {
Py_INCREF
(
*
pv
);
Py_INCREF
(
*
pw
);
return
0
;
}
return
1
;
/* Can't do it */
}
static
PyObject
*
complex_richcompare
(
PyObject
*
v
,
PyObject
*
w
,
int
op
)
{
int
c
;
Py_complex
i
,
j
;
PyObject
*
res
;
c
=
PyNumber_CoerceEx
(
&
v
,
&
w
);
if
(
c
<
0
)
return
NULL
;
if
(
c
>
0
) {
Py_INCREF
(
Py_NotImplemented
);
return
Py_NotImplemented
;
}
/* Make sure both arguments are complex. */
if
(!(
PyComplex_Check
(
v
)
&&
PyComplex_Check
(
w
))) {
Py_DECREF
(
v
);
Py_DECREF
(
w
);
Py_INCREF
(
Py_NotImplemented
);
return
Py_NotImplemented
;
}
i
=
((
PyComplexObject
*
)
v
)
->
cval
;
j
=
((
PyComplexObject
*
)
w
)
->
cval
;
Py_DECREF
(
v
);
Py_DECREF
(
w
);
if
(
op
!=
Py_EQ
&&
op
!=
Py_NE
) {
PyErr_SetString
(
PyExc_TypeError
,
"no ordering relation is defined for complex numbers"
);
return
NULL
;
}
if
((
i
.
real
==
j
.
real
&&
i
.
imag
==
j
.
imag
)
==
(
op
==
Py_EQ
))
res
=
Py_True
;
else
res
=
Py_False
;
Py_INCREF
(
res
);
return
res
;
}
static
PyObject
*
complex_int
(
PyObject
*
v
)
{
PyErr_SetString
(
PyExc_TypeError
,
"can't convert complex to int; use int(abs(z))"
);
return
NULL
;
}
static
PyObject
*
complex_long
(
PyObject
*
v
)
{
PyErr_SetString
(
PyExc_TypeError
,
"can't convert complex to long; use long(abs(z))"
);
return
NULL
;
}
static
PyObject
*
complex_float
(
PyObject
*
v
)
{
PyErr_SetString
(
PyExc_TypeError
,
"can't convert complex to float; use abs(z)"
);
return
NULL
;
}
static
PyObject
*
complex_conjugate
(
PyObject
*
self
)
{
Py_complex
c
;
c
=
((
PyComplexObject
*
)
self
)
->
cval
;
c
.
imag
=
-
c
.
imag
;
return
PyComplex_FromCComplex
(
c
);
}
PyDoc_STRVAR
(
complex_conjugate_doc
,
"complex.conjugate() -> complex\n"
"\n"
"Returns the complex conjugate of its argument. (3-4j).conjugate() == 3+4j."
);
static
PyObject
*
complex_getnewargs
(
PyComplexObject
*
v
)
{
Py_complex
c
=
v
->
cval
;
return
Py_BuildValue
(
"(dd)"
,
c
.
real
,
c
.
imag
);
}
#if
0
static
PyObject
*
complex_is_finite
(
PyObject
*
self
)
{
Py_complex
c
;
c
=
((
PyComplexObject
*
)
self
)
->
cval
;
return
PyBool_FromLong
((
long
)(
Py_IS_FINITE
(
c
.
real
)
&&
Py_IS_FINITE
(
c
.
imag
)));
}
PyDoc_STRVAR
(
complex_is_finite_doc
,
"complex.is_finite() -> bool\n"
"\n"
"Returns True if the real and the imaginary part is finite."
);
#endif
static
PyMethodDef
complex_methods
[]
=
{
{
"conjugate"
, (
PyCFunction
)
complex_conjugate
,
METH_NOARGS
,
complex_conjugate_doc
},
#if
0
{
"is_finite"
, (
PyCFunction
)
complex_is_finite
,
METH_NOARGS
,
complex_is_finite_doc
},
#endif
{
"__getnewargs__"
, (
PyCFunction
)
complex_getnewargs
,
METH_NOARGS
},
{
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_subtype_from_string
(
PyTypeObject
*
type
,
PyObject
*
v
)
{
const
char
*
s
,
*
start
;
char
*
end
;
double
x
=
0.0
,
y
=
0.0
,
z
;
int
got_re
=
0
,
got_im
=
0
,
got_bracket
=
0
,
done
=
0
;
int
digit_or_dot
;
int
sw_error
=
0
;
int
sign
;
char
buffer
[
256
];
/* For errors */
#ifdef
Py_USING_UNICODE
char
s_buffer
[
256
];
#endif
Py_ssize_t
len
;
if
(
PyString_Check
(
v
)) {
s
=
PyString_AS_STRING
(
v
);
len
=
PyString_GET_SIZE
(
v
);
}
#ifdef
Py_USING_UNICODE
else
if
(
PyUnicode_Check
(
v
)) {
if
(
PyUnicode_GET_SIZE
(
v
) >= (
Py_ssize_t
)
sizeof
(
s_buffer
)) {
PyErr_SetString
(
PyExc_ValueError
,
"complex() literal too large to convert"
);
return
NULL
;
}
if
(
PyUnicode_EncodeDecimal
(
PyUnicode_AS_UNICODE
(
v
),
PyUnicode_GET_SIZE
(
v
),
s_buffer
,
NULL
))
return
NULL
;
s
=
s_buffer
;
len
=
strlen
(
s
);
}
#endif
else
if
(
PyObject_AsCharBuffer
(
v
,
&
s
,
&
len
)) {
PyErr_SetString
(
PyExc_TypeError
,
"complex() arg is not a string"
);
return
NULL
;
}
/* position on first nonblank */
start
=
s
;
while
(
*
s
&&
isspace
(
Py_CHARMASK
(
*
s
)))
s
++
;
if
(
s
[
0
]
==
'\0'
) {
PyErr_SetString
(
PyExc_ValueError
,
"complex() arg is an empty string"
);
return
NULL
;
}
if
(
s
[
0
]
==
'('
) {
/* Skip over possible bracket from repr(). */
got_bracket
=
1
;
s
++
;
while
(
*
s
&&
isspace
(
Py_CHARMASK
(
*
s
)))
s
++
;
}
z
=
-1.0
;
sign
=
1
;
do
{
switch
(
*
s
) {
case
'\0'
:
if
(
s
-
start
!=
len
) {
PyErr_SetString
(
PyExc_ValueError
,
"complex() arg contains a null byte"
);
return
NULL
;
}
if
(!
done
)
sw_error
=
1
;
break
;
case
')'
:
if
(!
got_bracket
||
!(
got_re
||
got_im
)) {
sw_error
=
1
;
break
;
}
got_bracket
=
0
;
done
=
1
;
s
++
;
while
(
*
s
&&
isspace
(
Py_CHARMASK
(
*
s
)))
s
++
;
if
(
*
s
)
sw_error
=
1
;
break
;
case
'-'
:
sign
=
-1
;
/* Fallthrough */
case
'+'
:
if
(
done
)
sw_error
=
1
;
s
++
;
if
(
*
s
==
'\0'
||
*
s
==
'+'
||
*
s
==
'-'
||
*
s
==
')'
||
isspace
(
Py_CHARMASK
(
*
s
)) )
sw_error
=
1
;
break
;
case
'J'
:
case
'j'
:
if
(
got_im
||
done
) {
sw_error
=
1
;
break
;
}
if
(
z
<
0.0
) {
y
=
sign
;
}
else
{
y
=
sign
*
z
;
}
got_im
=
1
;
s
++
;
if
(
*
s
!=
'+'
&&
*
s
!=
'-'
)
done
=
1
;
break
;
default
:
if
(
isspace
(
Py_CHARMASK
(
*
s
))) {
while
(
*
s
&&
isspace
(
Py_CHARMASK
(
*
s
)))
s
++
;
if
(
*
s
&&
*
s
!=
')'
)
sw_error
=
1
;
else
done
=
1
;
break
;
}
digit_or_dot
=
(
*
s
==
'.'
||
isdigit
(
Py_CHARMASK
(
*
s
)));
if
(
done
||
!
digit_or_dot
) {
sw_error
=
1
;
break
;
}
errno
=
0
;
PyFPE_START_PROTECT
(
"strtod"
,
return
0
)
z
=
PyOS_ascii_strtod
(
s
,
&
end
) ;
PyFPE_END_PROTECT
(
z
)
if
(
errno
!=
0
) {
View remainder of file in raw view
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