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 | : 172.69.17.153
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 : math.rst.txt
:mod:`math` --- Mathematical functions ====================================== .. module:: math :synopsis: Mathematical functions (sin() etc.). .. testsetup:: from math import fsum This module is always available. It provides access to the mathematical functions defined by the C standard. These functions cannot be used with complex numbers; use the functions of the same name from the :mod:`cmath` module if you require support for complex numbers. The distinction between functions which support complex numbers and those which don't is made since most users do not want to learn quite as much mathematics as required to understand complex numbers. Receiving an exception instead of a complex result allows earlier detection of the unexpected complex number used as a parameter, so that the programmer can determine how and why it was generated in the first place. The following functions are provided by this module. Except when explicitly noted otherwise, all return values are floats. Number-theoretic and representation functions --------------------------------------------- .. function:: ceil(x) Return the ceiling of *x* as a float, the smallest integer value greater than or equal to *x*. .. function:: copysign(x, y) Return *x* with the sign of *y*. On a platform that supports signed zeros, ``copysign(1.0, -0.0)`` returns *-1.0*. .. versionadded:: 2.6 .. function:: fabs(x) Return the absolute value of *x*. .. function:: factorial(x) Return *x* factorial. Raises :exc:`ValueError` if *x* is not integral or is negative. .. versionadded:: 2.6 .. function:: floor(x) Return the floor of *x* as a float, the largest integer value less than or equal to *x*. .. function:: fmod(x, y) Return ``fmod(x, y)``, as defined by the platform C library. Note that the Python expression ``x % y`` may not return the same result. The intent of the C standard is that ``fmod(x, y)`` be exactly (mathematically; to infinite precision) equal to ``x - n*y`` for some integer *n* such that the result has the same sign as *x* and magnitude less than ``abs(y)``. Python's ``x % y`` returns a result with the sign of *y* instead, and may not be exactly computable for float arguments. For example, ``fmod(-1e-100, 1e100)`` is ``-1e-100``, but the result of Python's ``-1e-100 % 1e100`` is ``1e100-1e-100``, which cannot be represented exactly as a float, and rounds to the surprising ``1e100``. For this reason, function :func:`fmod` is generally preferred when working with floats, while Python's ``x % y`` is preferred when working with integers. .. function:: frexp(x) Return the mantissa and exponent of *x* as the pair ``(m, e)``. *m* is a float and *e* is an integer such that ``x == m * 2**e`` exactly. If *x* is zero, returns ``(0.0, 0)``, otherwise ``0.5 <= abs(m) < 1``. This is used to "pick apart" the internal representation of a float in a portable way. .. function:: fsum(iterable) Return an accurate floating point sum of values in the iterable. Avoids loss of precision by tracking multiple intermediate partial sums:: >>> sum([.1, .1, .1, .1, .1, .1, .1, .1, .1, .1]) 0.9999999999999999 >>> fsum([.1, .1, .1, .1, .1, .1, .1, .1, .1, .1]) 1.0 The algorithm's accuracy depends on IEEE-754 arithmetic guarantees and the typical case where the rounding mode is half-even. On some non-Windows builds, the underlying C library uses extended precision addition and may occasionally double-round an intermediate sum causing it to be off in its least significant bit. For further discussion and two alternative approaches, see the `ASPN cookbook recipes for accurate floating point summation <https://code.activestate.com/recipes/393090/>`_\. .. versionadded:: 2.6 .. function:: isinf(x) Check if the float *x* is positive or negative infinity. .. versionadded:: 2.6 .. function:: isnan(x) Check if the float *x* is a NaN (not a number). For more information on NaNs, see the IEEE 754 standards. .. versionadded:: 2.6 .. function:: ldexp(x, i) Return ``x * (2**i)``. This is essentially the inverse of function :func:`frexp`. .. function:: modf(x) Return the fractional and integer parts of *x*. Both results carry the sign of *x* and are floats. .. function:: trunc(x) Return the :class:`~numbers.Real` value *x* truncated to an :class:`~numbers.Integral` (usually a long integer). Uses the ``__trunc__`` method. .. versionadded:: 2.6 Note that :func:`frexp` and :func:`modf` have a different call/return pattern than their C equivalents: they take a single argument and return a pair of values, rather than returning their second return value through an 'output parameter' (there is no such thing in Python). For the :func:`ceil`, :func:`floor`, and :func:`modf` functions, note that *all* floating-point numbers of sufficiently large magnitude are exact integers. Python floats typically carry no more than 53 bits of precision (the same as the platform C double type), in which case any float *x* with ``abs(x) >= 2**52`` necessarily has no fractional bits. Power and logarithmic functions ------------------------------- .. function:: exp(x) Return ``e**x``. .. function:: expm1(x) Return ``e**x - 1``. For small floats *x*, the subtraction in ``exp(x) - 1`` can result in a significant loss of precision; the :func:`expm1` function provides a way to compute this quantity to full precision:: >>> from math import exp, expm1 >>> exp(1e-5) - 1 # gives result accurate to 11 places 1.0000050000069649e-05 >>> expm1(1e-5) # result accurate to full precision 1.0000050000166668e-05 .. versionadded:: 2.7 .. function:: log(x[, base]) With one argument, return the natural logarithm of *x* (to base *e*). With two arguments, return the logarithm of *x* to the given *base*, calculated as ``log(x)/log(base)``. .. versionchanged:: 2.3 *base* argument added. .. function:: log1p(x) Return the natural logarithm of *1+x* (base *e*). The result is calculated in a way which is accurate for *x* near zero. .. versionadded:: 2.6 .. function:: log10(x) Return the base-10 logarithm of *x*. This is usually more accurate than ``log(x, 10)``. .. function:: pow(x, y) Return ``x`` raised to the power ``y``. Exceptional cases follow Annex 'F' of the C99 standard as far as possible. In particular, ``pow(1.0, x)`` and ``pow(x, 0.0)`` always return ``1.0``, even when ``x`` is a zero or a NaN. If both ``x`` and ``y`` are finite, ``x`` is negative, and ``y`` is not an integer then ``pow(x, y)`` is undefined, and raises :exc:`ValueError`. Unlike the built-in ``**`` operator, :func:`math.pow` converts both its arguments to type :class:`float`. Use ``**`` or the built-in :func:`pow` function for computing exact integer powers. .. versionchanged:: 2.6 The outcome of ``1**nan`` and ``nan**0`` was undefined. .. function:: sqrt(x) Return the square root of *x*. Trigonometric functions ----------------------- .. function:: acos(x) Return the arc cosine of *x*, in radians. .. function:: asin(x) Return the arc sine of *x*, in radians. .. function:: atan(x) Return the arc tangent of *x*, in radians. .. function:: atan2(y, x) Return ``atan(y / x)``, in radians. The result is between ``-pi`` and ``pi``. The vector in the plane from the origin to point ``(x, y)`` makes this angle with the positive X axis. The point of :func:`atan2` is that the signs of both inputs are known to it, so it can compute the correct quadrant for the angle. For example, ``atan(1)`` and ``atan2(1, 1)`` are both ``pi/4``, but ``atan2(-1, -1)`` is ``-3*pi/4``. .. function:: cos(x) Return the cosine of *x* radians. .. function:: hypot(x, y) Return the Euclidean norm, ``sqrt(x*x + y*y)``. This is the length of the vector from the origin to point ``(x, y)``. .. function:: sin(x) Return the sine of *x* radians. .. function:: tan(x) Return the tangent of *x* radians. Angular conversion ------------------ .. function:: degrees(x) Convert angle *x* from radians to degrees. .. function:: radians(x) Convert angle *x* from degrees to radians. Hyperbolic functions -------------------- .. function:: acosh(x) Return the inverse hyperbolic cosine of *x*. .. versionadded:: 2.6 .. function:: asinh(x) Return the inverse hyperbolic sine of *x*. .. versionadded:: 2.6 .. function:: atanh(x) Return the inverse hyperbolic tangent of *x*. .. versionadded:: 2.6 .. 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*. Special functions ----------------- .. function:: erf(x) Return the error function at *x*. .. versionadded:: 2.7 .. function:: erfc(x) Return the complementary error function at *x*. .. versionadded:: 2.7 .. function:: gamma(x) Return the Gamma function at *x*. .. versionadded:: 2.7 .. function:: lgamma(x) Return the natural logarithm of the absolute value of the Gamma function at *x*. .. versionadded:: 2.7 Constants --------- .. data:: pi The mathematical constant π = 3.141592..., to available precision. .. data:: e The mathematical constant e = 2.718281..., to available precision. .. impl-detail:: The :mod:`math` module consists mostly of thin wrappers around the platform C math library functions. Behavior in exceptional cases follows Annex F of the C99 standard where appropriate. The current implementation will raise :exc:`ValueError` for invalid operations like ``sqrt(-1.0)`` or ``log(0.0)`` (where C99 Annex F recommends signaling invalid operation or divide-by-zero), and :exc:`OverflowError` for results that overflow (for example, ``exp(1000.0)``). A NaN will not be returned from any of the functions above unless one or more of the input arguments was a NaN; in that case, most functions will return a NaN, but (again following C99 Annex F) there are some exceptions to this rule, for example ``pow(float('nan'), 0.0)`` or ``hypot(float('nan'), float('inf'))``. Note that Python makes no effort to distinguish signaling NaNs from quiet NaNs, and behavior for signaling NaNs remains unspecified. Typical behavior is to treat all NaNs as though they were quiet. .. versionchanged:: 2.6 Behavior in special cases now aims to follow C99 Annex F. In earlier versions of Python the behavior in special cases was loosely specified. .. seealso:: Module :mod:`cmath` Complex number versions of many of these functions.
Close
