Linux cpanel.rrshost.in 5.15.0-25-generic #25-Ubuntu SMP Wed Mar 30 15:54:22 UTC 2022 x86_64
Apache
: 109.123.238.221 | : 172.69.7.25
128 Domain
8.2.28
aev999
Terminal
AUTO ROOT
Adminer
Backdoor Destroyer
Linux Exploit
Lock Shell
Lock File
Create User
CREATE RDP
PHP Mailer
BACKCONNECT
HASH IDENTIFIER
README
+ Create Folder
+ Create File
/
usr /
share /
doc /
python2.7 /
html /
_sources /
library /
[ HOME SHELL ]
Name
Size
Permission
Action
2to3.rst.txt
14.3
KB
-rw-r--r--
__builtin__.rst.txt
1.46
KB
-rw-r--r--
__future__.rst.txt
4.84
KB
-rw-r--r--
__main__.rst.txt
535
B
-rw-r--r--
_winreg.rst.txt
22.77
KB
-rw-r--r--
abc.rst.txt
7.05
KB
-rw-r--r--
aepack.rst.txt
4.16
KB
-rw-r--r--
aetools.rst.txt
3.45
KB
-rw-r--r--
aetypes.rst.txt
4.16
KB
-rw-r--r--
aifc.rst.txt
6.92
KB
-rw-r--r--
al.rst.txt
5.18
KB
-rw-r--r--
allos.rst.txt
695
B
-rw-r--r--
anydbm.rst.txt
4.01
KB
-rw-r--r--
archiving.rst.txt
424
B
-rw-r--r--
argparse.rst.txt
72.93
KB
-rw-r--r--
array.rst.txt
10.28
KB
-rw-r--r--
ast.rst.txt
10.23
KB
-rw-r--r--
asynchat.rst.txt
8.99
KB
-rw-r--r--
asyncore.rst.txt
12.63
KB
-rw-r--r--
atexit.rst.txt
3.82
KB
-rw-r--r--
audioop.rst.txt
10.15
KB
-rw-r--r--
autogil.rst.txt
1015
B
-rw-r--r--
base64.rst.txt
6.11
KB
-rw-r--r--
basehttpserver.rst.txt
10.16
KB
-rw-r--r--
bastion.rst.txt
2.55
KB
-rw-r--r--
bdb.rst.txt
12.16
KB
-rw-r--r--
binascii.rst.txt
6.36
KB
-rw-r--r--
binhex.rst.txt
1.87
KB
-rw-r--r--
bisect.rst.txt
5.29
KB
-rw-r--r--
bsddb.rst.txt
7.4
KB
-rw-r--r--
bz2.rst.txt
7.88
KB
-rw-r--r--
calendar.rst.txt
11.02
KB
-rw-r--r--
carbon.rst.txt
15.58
KB
-rw-r--r--
cd.rst.txt
11.69
KB
-rw-r--r--
cgi.rst.txt
22.32
KB
-rw-r--r--
cgihttpserver.rst.txt
2.72
KB
-rw-r--r--
cgitb.rst.txt
2.81
KB
-rw-r--r--
chunk.rst.txt
4.84
KB
-rw-r--r--
cmath.rst.txt
7.47
KB
-rw-r--r--
cmd.rst.txt
8.36
KB
-rw-r--r--
code.rst.txt
6.95
KB
-rw-r--r--
codecs.rst.txt
65.4
KB
-rw-r--r--
codeop.rst.txt
3.69
KB
-rw-r--r--
collections.rst.txt
40.48
KB
-rw-r--r--
colorpicker.rst.txt
913
B
-rw-r--r--
colorsys.rst.txt
1.78
KB
-rw-r--r--
commands.rst.txt
2.53
KB
-rw-r--r--
compileall.rst.txt
4.57
KB
-rw-r--r--
compiler.rst.txt
36.59
KB
-rw-r--r--
configparser.rst.txt
19.15
KB
-rw-r--r--
constants.rst.txt
2.27
KB
-rw-r--r--
contextlib.rst.txt
5.87
KB
-rw-r--r--
cookie.rst.txt
9.32
KB
-rw-r--r--
cookielib.rst.txt
27.22
KB
-rw-r--r--
copy.rst.txt
3.27
KB
-rw-r--r--
copy_reg.rst.txt
2.27
KB
-rw-r--r--
crypt.rst.txt
2.24
KB
-rw-r--r--
crypto.rst.txt
355
B
-rw-r--r--
csv.rst.txt
22.22
KB
-rw-r--r--
ctypes.rst.txt
88.39
KB
-rw-r--r--
curses.ascii.rst.txt
8.83
KB
-rw-r--r--
curses.panel.rst.txt
2.68
KB
-rw-r--r--
curses.rst.txt
73.12
KB
-rw-r--r--
custominterp.rst.txt
570
B
-rw-r--r--
datatypes.rst.txt
864
B
-rw-r--r--
datetime.rst.txt
72.93
KB
-rw-r--r--
dbhash.rst.txt
3.77
KB
-rw-r--r--
dbm.rst.txt
3.04
KB
-rw-r--r--
debug.rst.txt
446
B
-rw-r--r--
decimal.rst.txt
69.26
KB
-rw-r--r--
development.rst.txt
640
B
-rw-r--r--
difflib.rst.txt
30
KB
-rw-r--r--
dircache.rst.txt
1.77
KB
-rw-r--r--
dis.rst.txt
22.7
KB
-rw-r--r--
distribution.rst.txt
426
B
-rw-r--r--
distutils.rst.txt
1.91
KB
-rw-r--r--
dl.rst.txt
3.31
KB
-rw-r--r--
doctest.rst.txt
72.25
KB
-rw-r--r--
docxmlrpcserver.rst.txt
3.71
KB
-rw-r--r--
dumbdbm.rst.txt
2.77
KB
-rw-r--r--
dummy_thread.rst.txt
1.03
KB
-rw-r--r--
dummy_threading.rst.txt
799
B
-rw-r--r--
easydialogs.rst.txt
10.1
KB
-rw-r--r--
email-examples.rst.txt
1.24
KB
-rw-r--r--
email.charset.rst.txt
9.43
KB
-rw-r--r--
email.encoders.rst.txt
2.32
KB
-rw-r--r--
email.errors.rst.txt
3.91
KB
-rw-r--r--
email.generator.rst.txt
5.99
KB
-rw-r--r--
email.header.rst.txt
7.35
KB
-rw-r--r--
email.iterators.rst.txt
2.36
KB
-rw-r--r--
email.message.rst.txt
24.63
KB
-rw-r--r--
email.mime.rst.txt
9.68
KB
-rw-r--r--
email.parser.rst.txt
10.08
KB
-rw-r--r--
email.rst.txt
15.73
KB
-rw-r--r--
email.utils.rst.txt
6.32
KB
-rw-r--r--
ensurepip.rst.txt
4.9
KB
-rw-r--r--
errno.rst.txt
6.55
KB
-rw-r--r--
exceptions.rst.txt
18.03
KB
-rw-r--r--
fcntl.rst.txt
7.19
KB
-rw-r--r--
filecmp.rst.txt
5.22
KB
-rw-r--r--
fileformats.rst.txt
302
B
-rw-r--r--
fileinput.rst.txt
7.24
KB
-rw-r--r--
filesys.rst.txt
806
B
-rw-r--r--
fl.rst.txt
17.23
KB
-rw-r--r--
fm.rst.txt
2.64
KB
-rw-r--r--
fnmatch.rst.txt
3.03
KB
-rw-r--r--
formatter.rst.txt
12.93
KB
-rw-r--r--
fpectl.rst.txt
4.07
KB
-rw-r--r--
fpformat.rst.txt
1.71
KB
-rw-r--r--
fractions.rst.txt
5.17
KB
-rw-r--r--
framework.rst.txt
11.18
KB
-rw-r--r--
frameworks.rst.txt
378
B
-rw-r--r--
ftplib.rst.txt
15.35
KB
-rw-r--r--
functions.rst.txt
73.75
KB
-rw-r--r--
functools.rst.txt
7.27
KB
-rw-r--r--
future_builtins.rst.txt
1.96
KB
-rw-r--r--
gc.rst.txt
8.8
KB
-rw-r--r--
gdbm.rst.txt
4.77
KB
-rw-r--r--
gensuitemodule.rst.txt
3.04
KB
-rw-r--r--
getopt.rst.txt
6.51
KB
-rw-r--r--
getpass.rst.txt
1.83
KB
-rw-r--r--
gettext.rst.txt
28.36
KB
-rw-r--r--
gl.rst.txt
5.87
KB
-rw-r--r--
glob.rst.txt
2.36
KB
-rw-r--r--
grp.rst.txt
2.2
KB
-rw-r--r--
gzip.rst.txt
4.71
KB
-rw-r--r--
hashlib.rst.txt
7.21
KB
-rw-r--r--
heapq.rst.txt
12.88
KB
-rw-r--r--
hmac.rst.txt
3
KB
-rw-r--r--
hotshot.rst.txt
4.19
KB
-rw-r--r--
htmllib.rst.txt
7.21
KB
-rw-r--r--
htmlparser.rst.txt
11.37
KB
-rw-r--r--
httplib.rst.txt
36.58
KB
-rw-r--r--
i18n.rst.txt
409
B
-rw-r--r--
ic.rst.txt
4.89
KB
-rw-r--r--
idle.rst.txt
21.66
KB
-rw-r--r--
imageop.rst.txt
3.91
KB
-rw-r--r--
imaplib.rst.txt
16.82
KB
-rw-r--r--
imgfile.rst.txt
2.7
KB
-rw-r--r--
imghdr.rst.txt
2.57
KB
-rw-r--r--
imp.rst.txt
12.3
KB
-rw-r--r--
importlib.rst.txt
1.1
KB
-rw-r--r--
imputil.rst.txt
6.86
KB
-rw-r--r--
index.rst.txt
2.23
KB
-rw-r--r--
inspect.rst.txt
27.49
KB
-rw-r--r--
internet.rst.txt
950
B
-rw-r--r--
intro.rst.txt
2.74
KB
-rw-r--r--
io.rst.txt
38.11
KB
-rw-r--r--
ipc.rst.txt
630
B
-rw-r--r--
itertools.rst.txt
35.67
KB
-rw-r--r--
jpeg.rst.txt
3.77
KB
-rw-r--r--
json.rst.txt
24.95
KB
-rw-r--r--
keyword.rst.txt
617
B
-rw-r--r--
language.rst.txt
523
B
-rw-r--r--
linecache.rst.txt
1.84
KB
-rw-r--r--
locale.rst.txt
24.39
KB
-rw-r--r--
logging.config.rst.txt
30.82
KB
-rw-r--r--
logging.handlers.rst.txt
27.49
KB
-rw-r--r--
logging.rst.txt
45.78
KB
-rw-r--r--
mac.rst.txt
791
B
-rw-r--r--
macos.rst.txt
3.73
KB
-rw-r--r--
macosa.rst.txt
3.87
KB
-rw-r--r--
macostools.rst.txt
3.92
KB
-rw-r--r--
macpath.rst.txt
650
B
-rw-r--r--
mailbox.rst.txt
66.53
KB
-rw-r--r--
mailcap.rst.txt
3.59
KB
-rw-r--r--
markup.rst.txt
1.22
KB
-rw-r--r--
marshal.rst.txt
5.56
KB
-rw-r--r--
math.rst.txt
10.66
KB
-rw-r--r--
md5.rst.txt
2.75
KB
-rw-r--r--
mhlib.rst.txt
3.87
KB
-rw-r--r--
mimetools.rst.txt
4.4
KB
-rw-r--r--
mimetypes.rst.txt
9.61
KB
-rw-r--r--
mimewriter.rst.txt
3.28
KB
-rw-r--r--
mimify.rst.txt
3.44
KB
-rw-r--r--
miniaeframe.rst.txt
2.5
KB
-rw-r--r--
misc.rst.txt
248
B
-rw-r--r--
mm.rst.txt
447
B
-rw-r--r--
mmap.rst.txt
10.24
KB
-rw-r--r--
modulefinder.rst.txt
3.3
KB
-rw-r--r--
modules.rst.txt
382
B
-rw-r--r--
msilib.rst.txt
18.62
KB
-rw-r--r--
msvcrt.rst.txt
4.24
KB
-rw-r--r--
multifile.rst.txt
6.46
KB
-rw-r--r--
multiprocessing.rst.txt
90.45
KB
-rw-r--r--
mutex.rst.txt
1.89
KB
-rw-r--r--
netdata.rst.txt
432
B
-rw-r--r--
netrc.rst.txt
3.05
KB
-rw-r--r--
new.rst.txt
2.59
KB
-rw-r--r--
nis.rst.txt
2.06
KB
-rw-r--r--
nntplib.rst.txt
14.19
KB
-rw-r--r--
numbers.rst.txt
7.82
KB
-rw-r--r--
numeric.rst.txt
751
B
-rw-r--r--
operator.rst.txt
21.57
KB
-rw-r--r--
optparse.rst.txt
75.29
KB
-rw-r--r--
os.path.rst.txt
12.79
KB
-rw-r--r--
os.rst.txt
80.64
KB
-rw-r--r--
ossaudiodev.rst.txt
16.9
KB
-rw-r--r--
othergui.rst.txt
2.66
KB
-rw-r--r--
parser.rst.txt
15.02
KB
-rw-r--r--
pdb.rst.txt
15.67
KB
-rw-r--r--
persistence.rst.txt
826
B
-rw-r--r--
pickle.rst.txt
36.39
KB
-rw-r--r--
pickletools.rst.txt
1.95
KB
-rw-r--r--
pipes.rst.txt
3.7
KB
-rw-r--r--
pkgutil.rst.txt
7.53
KB
-rw-r--r--
platform.rst.txt
9.33
KB
-rw-r--r--
plistlib.rst.txt
4.04
KB
-rw-r--r--
popen2.rst.txt
6.86
KB
-rw-r--r--
poplib.rst.txt
6.07
KB
-rw-r--r--
posix.rst.txt
3.54
KB
-rw-r--r--
posixfile.rst.txt
7.03
KB
-rw-r--r--
pprint.rst.txt
8.86
KB
-rw-r--r--
profile.rst.txt
27.99
KB
-rw-r--r--
pty.rst.txt
1.72
KB
-rw-r--r--
pwd.rst.txt
2.66
KB
-rw-r--r--
py_compile.rst.txt
2.42
KB
-rw-r--r--
pyclbr.rst.txt
3.22
KB
-rw-r--r--
pydoc.rst.txt
3.99
KB
-rw-r--r--
pyexpat.rst.txt
28.21
KB
-rw-r--r--
python.rst.txt
514
B
-rw-r--r--
queue.rst.txt
6.87
KB
-rw-r--r--
quopri.rst.txt
2.61
KB
-rw-r--r--
random.rst.txt
13.01
KB
-rw-r--r--
re.rst.txt
53.81
KB
-rw-r--r--
readline.rst.txt
10.27
KB
-rw-r--r--
repr.rst.txt
4.61
KB
-rw-r--r--
resource.rst.txt
9.37
KB
-rw-r--r--
restricted.rst.txt
3.25
KB
-rw-r--r--
rexec.rst.txt
11.47
KB
-rw-r--r--
rfc822.rst.txt
13.71
KB
-rw-r--r--
rlcompleter.rst.txt
2.44
KB
-rw-r--r--
robotparser.rst.txt
2.14
KB
-rw-r--r--
runpy.rst.txt
6.78
KB
-rw-r--r--
sched.rst.txt
4.54
KB
-rw-r--r--
scrolledtext.rst.txt
1.35
KB
-rw-r--r--
select.rst.txt
20.26
KB
-rw-r--r--
sets.rst.txt
14.62
KB
-rw-r--r--
sgi.rst.txt
322
B
-rw-r--r--
sgmllib.rst.txt
10.41
KB
-rw-r--r--
sha.rst.txt
2.74
KB
-rw-r--r--
shelve.rst.txt
8.12
KB
-rw-r--r--
shlex.rst.txt
11.05
KB
-rw-r--r--
shutil.rst.txt
13.17
KB
-rw-r--r--
signal.rst.txt
10.47
KB
-rw-r--r--
simplehttpserver.rst.txt
4.45
KB
-rw-r--r--
simplexmlrpcserver.rst.txt
10.63
KB
-rw-r--r--
site.rst.txt
7.7
KB
-rw-r--r--
smtpd.rst.txt
2.41
KB
-rw-r--r--
smtplib.rst.txt
14.56
KB
-rw-r--r--
sndhdr.rst.txt
1.72
KB
-rw-r--r--
socket.rst.txt
39.81
KB
-rw-r--r--
socketserver.rst.txt
21.98
KB
-rw-r--r--
someos.rst.txt
599
B
-rw-r--r--
spwd.rst.txt
2.76
KB
-rw-r--r--
sqlite3.rst.txt
34.62
KB
-rw-r--r--
ssl.rst.txt
74.91
KB
-rw-r--r--
stat.rst.txt
7.6
KB
-rw-r--r--
statvfs.rst.txt
1.27
KB
-rw-r--r--
stdtypes.rst.txt
119.78
KB
-rw-r--r--
string.rst.txt
43.05
KB
-rw-r--r--
stringio.rst.txt
4.07
KB
-rw-r--r--
stringprep.rst.txt
4.14
KB
-rw-r--r--
strings.rst.txt
746
B
-rw-r--r--
struct.rst.txt
16.7
KB
-rw-r--r--
subprocess.rst.txt
32.86
KB
-rw-r--r--
sun.rst.txt
249
B
-rw-r--r--
sunau.rst.txt
6.96
KB
-rw-r--r--
sunaudio.rst.txt
5.71
KB
-rw-r--r--
symbol.rst.txt
975
B
-rw-r--r--
symtable.rst.txt
4.95
KB
-rw-r--r--
sys.rst.txt
46.4
KB
-rw-r--r--
sysconfig.rst.txt
7.46
KB
-rw-r--r--
syslog.rst.txt
3.84
KB
-rw-r--r--
tabnanny.rst.txt
1.95
KB
-rw-r--r--
tarfile.rst.txt
27.55
KB
-rw-r--r--
telnetlib.rst.txt
7.31
KB
-rw-r--r--
tempfile.rst.txt
10.26
KB
-rw-r--r--
termios.rst.txt
3.65
KB
-rw-r--r--
test.rst.txt
17.34
KB
-rw-r--r--
textwrap.rst.txt
8.47
KB
-rw-r--r--
thread.rst.txt
6.43
KB
-rw-r--r--
threading.rst.txt
31.77
KB
-rw-r--r--
time.rst.txt
25.41
KB
-rw-r--r--
timeit.rst.txt
11.33
KB
-rw-r--r--
tix.rst.txt
22.16
KB
-rw-r--r--
tk.rst.txt
1.57
KB
-rw-r--r--
tkinter.rst.txt
32.72
KB
-rw-r--r--
token.rst.txt
2.39
KB
-rw-r--r--
tokenize.rst.txt
5.44
KB
-rw-r--r--
trace.rst.txt
6.57
KB
-rw-r--r--
traceback.rst.txt
10.46
KB
-rw-r--r--
ttk.rst.txt
56.07
KB
-rw-r--r--
tty.rst.txt
1011
B
-rw-r--r--
turtle.rst.txt
62.59
KB
-rw-r--r--
types.rst.txt
6.05
KB
-rw-r--r--
undoc.rst.txt
6.4
KB
-rw-r--r--
unicodedata.rst.txt
5.59
KB
-rw-r--r--
unittest.rst.txt
81.01
KB
-rw-r--r--
unix.rst.txt
490
B
-rw-r--r--
urllib.rst.txt
24.38
KB
-rw-r--r--
urllib2.rst.txt
34.39
KB
-rw-r--r--
urlparse.rst.txt
16.56
KB
-rw-r--r--
user.rst.txt
2.68
KB
-rw-r--r--
userdict.rst.txt
9.07
KB
-rw-r--r--
uu.rst.txt
2.31
KB
-rw-r--r--
uuid.rst.txt
8.18
KB
-rw-r--r--
warnings.rst.txt
19.6
KB
-rw-r--r--
wave.rst.txt
4.93
KB
-rw-r--r--
weakref.rst.txt
12.62
KB
-rw-r--r--
webbrowser.rst.txt
9.63
KB
-rw-r--r--
whichdb.rst.txt
931
B
-rw-r--r--
windows.rst.txt
273
B
-rw-r--r--
winsound.rst.txt
4.95
KB
-rw-r--r--
wsgiref.rst.txt
29.85
KB
-rw-r--r--
xdrlib.rst.txt
7.89
KB
-rw-r--r--
xml.dom.minidom.rst.txt
10.95
KB
-rw-r--r--
xml.dom.pulldom.rst.txt
1.53
KB
-rw-r--r--
xml.dom.rst.txt
39.24
KB
-rw-r--r--
xml.etree.elementtree.rst.txt
34.87
KB
-rw-r--r--
xml.rst.txt
5.95
KB
-rw-r--r--
xml.sax.handler.rst.txt
15.01
KB
-rw-r--r--
xml.sax.reader.rst.txt
11.97
KB
-rw-r--r--
xml.sax.rst.txt
6.31
KB
-rw-r--r--
xml.sax.utils.rst.txt
3.48
KB
-rw-r--r--
xmlrpclib.rst.txt
22.03
KB
-rw-r--r--
zipfile.rst.txt
18.43
KB
-rw-r--r--
zipimport.rst.txt
5.82
KB
-rw-r--r--
zlib.rst.txt
12.47
KB
-rw-r--r--
Delete
Unzip
Zip
${this.title}
Close
Code Editor : cmath.rst.txt
:mod:`cmath` --- Mathematical functions for complex numbers =========================================================== .. module:: cmath :synopsis: Mathematical functions for complex numbers. This module is always available. It provides access to mathematical functions for complex numbers. The functions in this module accept integers, floating-point numbers or complex numbers as arguments. They will also accept any Python object that has either a :meth:`__complex__` or a :meth:`__float__` method: these methods are used to convert the object to a complex or floating-point number, respectively, and the function is then applied to the result of the conversion. .. note:: On platforms with hardware and system-level support for signed zeros, functions involving branch cuts are continuous on *both* sides of the branch cut: the sign of the zero distinguishes one side of the branch cut from the other. On platforms that do not support signed zeros the continuity is as specified below. Conversions to and from polar coordinates ----------------------------------------- A Python complex number ``z`` is stored internally using *rectangular* or *Cartesian* coordinates. It is completely determined by its *real part* ``z.real`` and its *imaginary part* ``z.imag``. In other words:: z == z.real + z.imag*1j *Polar coordinates* give an alternative way to represent a complex number. In polar coordinates, a complex number *z* is defined by the modulus *r* and the phase angle *phi*. The modulus *r* is the distance from *z* to the origin, while the phase *phi* is the counterclockwise angle, measured in radians, from the positive x-axis to the line segment that joins the origin to *z*. The following functions can be used to convert from the native rectangular coordinates to polar coordinates and back. .. function:: phase(x) Return the phase of *x* (also known as the *argument* of *x*), as a float. ``phase(x)`` is equivalent to ``math.atan2(x.imag, x.real)``. The result lies in the range [-π, π], and the branch cut for this operation lies along the negative real axis, continuous from above. On systems with support for signed zeros (which includes most systems in current use), this means that the sign of the result is the same as the sign of ``x.imag``, even when ``x.imag`` is zero:: >>> phase(complex(-1.0, 0.0)) 3.1415926535897931 >>> phase(complex(-1.0, -0.0)) -3.1415926535897931 .. versionadded:: 2.6 .. note:: The modulus (absolute value) of a complex number *x* can be computed using the built-in :func:`abs` function. There is no separate :mod:`cmath` module function for this operation. .. function:: polar(x) Return the representation of *x* in polar coordinates. Returns a pair ``(r, phi)`` where *r* is the modulus of *x* and phi is the phase of *x*. ``polar(x)`` is equivalent to ``(abs(x), phase(x))``. .. versionadded:: 2.6 .. function:: rect(r, phi) Return the complex number *x* with polar coordinates *r* and *phi*. Equivalent to ``r * (math.cos(phi) + math.sin(phi)*1j)``. .. versionadded:: 2.6 Power and logarithmic functions ------------------------------- .. function:: exp(x) Return the exponential value ``e**x``. .. function:: log(x[, base]) Returns the logarithm of *x* to the given *base*. If the *base* is not specified, returns the natural logarithm of *x*. There is one branch cut, from 0 along the negative real axis to -∞, continuous from above. .. versionchanged:: 2.4 *base* argument added. .. function:: log10(x) Return the base-10 logarithm of *x*. This has the same branch cut as :func:`log`. .. function:: sqrt(x) Return the square root of *x*. This has the same branch cut as :func:`log`. Trigonometric functions ----------------------- .. function:: acos(x) Return the arc cosine of *x*. There are two branch cuts: One extends right from 1 along the real axis to ∞, continuous from below. The other extends left from -1 along the real axis to -∞, continuous from above. .. function:: asin(x) Return the arc sine of *x*. This has the same branch cuts as :func:`acos`. .. function:: atan(x) Return the arc tangent of *x*. There are two branch cuts: One extends from ``1j`` along the imaginary axis to ``∞j``, continuous from the right. The other extends from ``-1j`` along the imaginary axis to ``-∞j``, continuous from the left. .. versionchanged:: 2.6 direction of continuity of upper cut reversed .. function:: cos(x) Return the cosine of *x*. .. function:: sin(x) Return the sine of *x*. .. function:: tan(x) Return the tangent of *x*. Hyperbolic functions -------------------- .. function:: acosh(x) Return the inverse hyperbolic cosine of *x*. There is one branch cut, extending left from 1 along the real axis to -∞, continuous from above. .. function:: asinh(x) Return the inverse hyperbolic sine of *x*. There are two branch cuts: One extends from ``1j`` along the imaginary axis to ``∞j``, continuous from the right. The other extends from ``-1j`` along the imaginary axis to ``-∞j``, continuous from the left. .. versionchanged:: 2.6 branch cuts moved to match those recommended by the C99 standard .. function:: atanh(x) Return the inverse hyperbolic tangent of *x*. There are two branch cuts: One extends from ``1`` along the real axis to ``∞``, continuous from below. The other extends from ``-1`` along the real axis to ``-∞``, continuous from above. .. versionchanged:: 2.6 direction of continuity of right cut reversed .. function:: cosh(x) Return the hyperbolic cosine of *x*. .. function:: sinh(x) Return the hyperbolic sine of *x*. .. function:: tanh(x) Return the hyperbolic tangent of *x*. Classification functions ------------------------ .. function:: isinf(x) Return ``True`` if the real or the imaginary part of x is positive or negative infinity. .. versionadded:: 2.6 .. function:: isnan(x) Return ``True`` if the real or imaginary part of x is not a number (NaN). .. versionadded:: 2.6 Constants --------- .. data:: pi The mathematical constant *π*, as a float. .. data:: e The mathematical constant *e*, as a float. .. index:: module: math Note that the selection of functions is similar, but not identical, to that in module :mod:`math`. The reason for having two modules is that some users aren't interested in complex numbers, and perhaps don't even know what they are. They would rather have ``math.sqrt(-1)`` raise an exception than return a complex number. Also note that the functions defined in :mod:`cmath` always return a complex number, even if the answer can be expressed as a real number (in which case the complex number has an imaginary part of zero). A note on branch cuts: They are curves along which the given function fails to be continuous. They are a necessary feature of many complex functions. It is assumed that if you need to compute with complex functions, you will understand about branch cuts. Consult almost any (not too elementary) book on complex variables for enlightenment. For information of the proper choice of branch cuts for numerical purposes, a good reference should be the following: .. seealso:: Kahan, W: Branch cuts for complex elementary functions; or, Much ado about nothing's sign bit. In Iserles, A., and Powell, M. (eds.), The state of the art in numerical analysis. Clarendon Press (1987) pp165--211.
Close
