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Name	Size	Permission
audiodata	[ DIR ]	drwxr-xr-x
certdata	[ DIR ]	drwxr-xr-x
cjkencodings	[ DIR ]	drwxr-xr-x
configdata	[ DIR ]	drwxr-xr-x
crashers	[ DIR ]	drwxr-xr-x
data	[ DIR ]	drwxr-xr-x
decimaltestdata	[ DIR ]	drwxr-xr-x
dtracedata	[ DIR ]	drwxr-xr-x
encoded_modules	[ DIR ]	drwxr-xr-x
imghdrdata	[ DIR ]	drwxr-xr-x
leakers	[ DIR ]	drwxr-xr-x
libregrtest	[ DIR ]	drwxr-xr-x
regrtestdata	[ DIR ]	drwxr-xr-x
sndhdrdata	[ DIR ]	drwxr-xr-x
subprocessdata	[ DIR ]	drwxr-xr-x
support	[ DIR ]	drwxr-xr-x
test_asyncio	[ DIR ]	drwxr-xr-x
test_capi	[ DIR ]	drwxr-xr-x
test_concurrent_futures	[ DIR ]	drwxr-xr-x
test_cppext	[ DIR ]	drwxr-xr-x
test_ctypes	[ DIR ]	drwxr-xr-x
test_dataclasses	[ DIR ]	drwxr-xr-x
test_doctest	[ DIR ]	drwxr-xr-x
test_email	[ DIR ]	drwxr-xr-x
test_future_stmt	[ DIR ]	drwxr-xr-x
test_gdb	[ DIR ]	drwxr-xr-x
test_import	[ DIR ]	drwxr-xr-x
test_importlib	[ DIR ]	drwxr-xr-x
test_inspect	[ DIR ]	drwxr-xr-x
test_json	[ DIR ]	drwxr-xr-x
test_lib2to3	[ DIR ]	drwxr-xr-x
test_module	[ DIR ]	drwxr-xr-x
test_multiprocessing_fork	[ DIR ]	drwxr-xr-x
test_multiprocessing_forkserve...	[ DIR ]	drwxr-xr-x
test_multiprocessing_spawn	[ DIR ]	drwxr-xr-x
test_peg_generator	[ DIR ]	drwxr-xr-x
test_pydoc	[ DIR ]	drwxr-xr-x
test_sqlite3	[ DIR ]	drwxr-xr-x
test_tkinter	[ DIR ]	drwxr-xr-x
test_tomllib	[ DIR ]	drwxr-xr-x
test_tools	[ DIR ]	drwxr-xr-x
test_ttk	[ DIR ]	drwxr-xr-x
test_unittest	[ DIR ]	drwxr-xr-x
test_warnings	[ DIR ]	drwxr-xr-x
test_zipfile	[ DIR ]	drwxr-xr-x
test_zoneinfo	[ DIR ]	drwxr-xr-x
tokenizedata	[ DIR ]	drwxr-xr-x
tracedmodules	[ DIR ]	drwxr-xr-x
typinganndata	[ DIR ]	drwxr-xr-x
wheeldata	[ DIR ]	drwxr-xr-x
xmltestdata	[ DIR ]	drwxr-xr-x
ziptestdata	[ DIR ]	drwxr-xr-x
Sine-1000Hz-300ms.aif	60.25 KB	-rw-r--r--
__init__.py	47 B	-rw-r--r--
__main__.py	67 B	-rw-r--r--
_test_atexit.py	3.61 KB	-rw-r--r--
_test_eintr.py	17.75 KB	-rw-r--r--
_test_embed_set_config.py	8.64 KB	-rw-r--r--
_test_embed_structseq.py	1.99 KB	-rw-r--r--
_test_multiprocessing.py	206.66 KB	-rw-r--r--
_test_venv_multiprocessing.py	796 B	-rw-r--r--
archiver_tests.py	6.1 KB	-rw-r--r--
audiotest.au	27.48 KB	-rw-r--r--
audiotests.py	12.13 KB	-rw-r--r--
audit-tests.py	13.19 KB	-rw-r--r--
autotest.py	214 B	-rw-r--r--
badsyntax_pep3120.py	14 B	-rw-r--r--
bisect_cmd.py	5.34 KB	-rwxr-xr-x
clinic.test.c	138.59 KB	-rw-r--r--
cmath_testcases.txt	141.2 KB	-rw-r--r--
curses_tests.py	1.21 KB	-rwxr-xr-x
datetimetester.py	260.28 KB	-rw-r--r--
dis_module.py	76 B	-rw-r--r--
empty.vbs	70 B	-rw-r--r--
exception_hierarchy.txt	2.33 KB	-rw-r--r--
floating_points.txt	15.92 KB	-rw-r--r--
fork_wait.py	2.29 KB	-rw-r--r--
formatfloat_testcases.txt	7.45 KB	-rw-r--r--
ieee754.txt	3.15 KB	-rw-r--r--
levenshtein_examples.json	406.44 KB	-rw-r--r--
list_tests.py	16.64 KB	-rw-r--r--
lock_tests.py	35.48 KB	-rw-r--r--
mailcap.txt	1.24 KB	-rw-r--r--
mapping_tests.py	21.87 KB	-rw-r--r--
math_testcases.txt	23.19 KB	-rw-r--r--
memory_watchdog.py	711 B	-rw-r--r--
mime.types	47.37 KB	-rw-r--r--
mock_socket.py	3.69 KB	-rw-r--r--
mp_fork_bomb.py	448 B	-rw-r--r--
mp_preload.py	351 B	-rw-r--r--
multibytecodec_support.py	14.19 KB	-rw-r--r--
pickletester.py	143.84 KB	-rw-r--r--
profilee.py	2.97 KB	-rw-r--r--
pstats.pck	65.05 KB	-rw-r--r--
pyclbr_input.py	648 B	-rw-r--r--
pythoninfo.py	28.32 KB	-rw-r--r--
randv2_32.pck	7.34 KB	-rw-r--r--
randv2_64.pck	7.19 KB	-rw-r--r--
randv3.pck	7.82 KB	-rw-r--r--
re_tests.py	25.93 KB	-rwxr-xr-x
recursion.tar	516 B	-rw-r--r--
regrtest.py	1.27 KB	-rwxr-xr-x
relimport.py	27 B	-rw-r--r--
reperf.py	538 B	-rw-r--r--
seq_tests.py	14.96 KB	-rw-r--r--
signalinterproctester.py	3.12 KB	-rw-r--r--
ssl_servers.py	7.12 KB	-rw-r--r--
ssltests.py	1.03 KB	-rw-r--r--
string_tests.py	71.24 KB	-rw-r--r--
test___all__.py	5.04 KB	-rw-r--r--
test__locale.py	8.09 KB	-rw-r--r--
test__opcode.py	4.14 KB	-rw-r--r--
test__osx_support.py	13.62 KB	-rw-r--r--
test__xxinterpchannels.py	52.19 KB	-rw-r--r--
test__xxsubinterpreters.py	27.5 KB	-rw-r--r--
test_abc.py	23.81 KB	-rw-r--r--
test_abstract_numbers.py	5.81 KB	-rw-r--r--
test_aifc.py	17.84 KB	-rw-r--r--
test_argparse.py	189 KB	-rw-r--r--
test_array.py	55.27 KB	-rwxr-xr-x
test_asdl_parser.py	4.44 KB	-rw-r--r--
test_ast.py	140.71 KB	-rw-r--r--
test_asyncgen.py	47.39 KB	-rw-r--r--
test_atexit.py	3.2 KB	-rw-r--r--
test_audioop.py	28.32 KB	-rw-r--r--
test_audit.py	8.6 KB	-rw-r--r--
test_augassign.py	7.68 KB	-rw-r--r--
test_base64.py	35.05 KB	-rw-r--r--
test_baseexception.py	7.77 KB	-rw-r--r--
test_bdb.py	43.75 KB	-rw-r--r--
test_bigaddrspace.py	2.83 KB	-rw-r--r--
test_bigmem.py	45.01 KB	-rw-r--r--
test_binascii.py	19.35 KB	-rw-r--r--
test_binop.py	14.14 KB	-rw-r--r--
test_bisect.py	16.63 KB	-rw-r--r--
test_bool.py	14.25 KB	-rw-r--r--
test_buffer.py	171.31 KB	-rw-r--r--
test_bufio.py	2.56 KB	-rw-r--r--
test_builtin.py	95.14 KB	-rw-r--r--
test_bytes.py	80.57 KB	-rw-r--r--
test_bz2.py	42.61 KB	-rw-r--r--
test_c_locale_coercion.py	20.99 KB	-rw-r--r--
test_calendar.py	51.25 KB	-rw-r--r--
test_call.py	35.21 KB	-rw-r--r--
test_cgi.py	22.27 KB	-rw-r--r--
test_cgitb.py	2.62 KB	-rw-r--r--
test_charmapcodec.py	1.77 KB	-rw-r--r--
test_class.py	19.77 KB	-rw-r--r--
test_clinic.py	83.96 KB	-rw-r--r--
test_cmath.py	23.55 KB	-rw-r--r--
test_cmd.py	6.49 KB	-rw-r--r--
test_cmd_line.py	39.51 KB	-rw-r--r--
test_cmd_line_script.py	34.93 KB	-rw-r--r--
test_code.py	25.7 KB	-rw-r--r--
test_code_module.py	5.53 KB	-rw-r--r--
test_codeccallbacks.py	47.43 KB	-rw-r--r--
test_codecencodings_cn.py	3.86 KB	-rw-r--r--
test_codecencodings_hk.py	701 B	-rw-r--r--
test_codecencodings_iso2022.py	3.65 KB	-rw-r--r--
test_codecencodings_jp.py	4.79 KB	-rw-r--r--
test_codecencodings_kr.py	2.96 KB	-rw-r--r--
test_codecencodings_tw.py	681 B	-rw-r--r--
test_codecmaps_cn.py	746 B	-rw-r--r--
test_codecmaps_hk.py	386 B	-rw-r--r--
test_codecmaps_jp.py	1.7 KB	-rw-r--r--
test_codecmaps_kr.py	1.16 KB	-rw-r--r--
test_codecmaps_tw.py	705 B	-rw-r--r--
test_codecs.py	136.12 KB	-rw-r--r--
test_codeop.py	8.68 KB	-rw-r--r--
test_collections.py	93.47 KB	-rw-r--r--
test_colorsys.py	4.27 KB	-rw-r--r--
test_compare.py	17.46 KB	-rw-r--r--
test_compile.py	78.68 KB	-rw-r--r--
test_compileall.py	48.27 KB	-rw-r--r--
test_compiler_assemble.py	2.46 KB	-rw-r--r--
test_compiler_codegen.py	1.69 KB	-rw-r--r--
test_complex.py	35.37 KB	-rw-r--r--
test_configparser.py	85.34 KB	-rw-r--r--
test_contains.py	3.35 KB	-rw-r--r--
test_context.py	30.78 KB	-rw-r--r--
test_contextlib.py	43.12 KB	-rw-r--r--
test_contextlib_async.py	23.99 KB	-rw-r--r--
test_copy.py	26.52 KB	-rw-r--r--
test_copyreg.py	4.36 KB	-rw-r--r--
test_coroutines.py	67.47 KB	-rw-r--r--
test_cprofile.py	7.36 KB	-rw-r--r--
test_crashers.py	1.17 KB	-rw-r--r--
test_crypt.py	4.19 KB	-rw-r--r--
test_csv.py	61.27 KB	-rw-r--r--
test_curses.py	49.54 KB	-rw-r--r--
test_datetime.py	2.53 KB	-rw-r--r--
test_dbm.py	6.83 KB	-rw-r--r--
test_dbm_dumb.py	11.08 KB	-rw-r--r--
test_dbm_gnu.py	7.24 KB	-rw-r--r--
test_dbm_ndbm.py	5.91 KB	-rw-r--r--
test_decimal.py	216.13 KB	-rw-r--r--
test_decorators.py	14.63 KB	-rw-r--r--
test_defaultdict.py	6.1 KB	-rw-r--r--
test_deque.py	33.16 KB	-rw-r--r--
test_descr.py	196.13 KB	-rw-r--r--
test_descrtut.py	10.98 KB	-rw-r--r--
test_devpoll.py	4.44 KB	-rw-r--r--
test_dict.py	50.92 KB	-rw-r--r--
test_dict_version.py	6.1 KB	-rw-r--r--
test_dictcomps.py	5.15 KB	-rw-r--r--
test_dictviews.py	14.82 KB	-rw-r--r--
test_difflib.py	21.47 KB	-rw-r--r--
test_difflib_expect.html	100.85 KB	-rw-r--r--
test_dis.py	83 KB	-rw-r--r--
test_docxmlrpc.py	9.1 KB	-rw-r--r--
test_dtrace.py	7.98 KB	-rw-r--r--
test_dynamic.py	6 KB	-rw-r--r--
test_dynamicclassattribute.py	9.57 KB	-rw-r--r--
test_eintr.py	627 B	-rw-r--r--
test_embed.py	69.41 KB	-rw-r--r--
test_ensurepip.py	11.49 KB	-rw-r--r--
test_enum.py	186.78 KB	-rw-r--r--
test_enumerate.py	9.14 KB	-rw-r--r--
test_eof.py	3.1 KB	-rw-r--r--
test_epoll.py	9.4 KB	-rw-r--r--
test_errno.py	1.04 KB	-rw-r--r--
test_except_star.py	38.25 KB	-rw-r--r--
test_exception_group.py	34.03 KB	-rw-r--r--
test_exception_hierarchy.py	7.54 KB	-rw-r--r--
test_exception_variations.py	13.74 KB	-rw-r--r--
test_exceptions.py	76.46 KB	-rw-r--r--
test_extcall.py	14.69 KB	-rw-r--r--
test_faulthandler.py	30.31 KB	-rw-r--r--
test_fcntl.py	7.76 KB	-rw-r--r--
test_file.py	11.78 KB	-rw-r--r--
test_file_eintr.py	10.74 KB	-rw-r--r--
test_filecmp.py	10.33 KB	-rw-r--r--
test_fileinput.py	37.85 KB	-rw-r--r--
test_fileio.py	19.98 KB	-rw-r--r--
test_fileutils.py	951 B	-rw-r--r--
test_finalization.py	14.66 KB	-rw-r--r--
test_float.py	64.76 KB	-rw-r--r--
test_flufl.py	1.53 KB	-rw-r--r--
test_fnmatch.py	10.68 KB	-rw-r--r--
test_fork1.py	3.3 KB	-rw-r--r--
test_format.py	28.44 KB	-rw-r--r--
test_fractions.py	52.53 KB	-rw-r--r--
test_frame.py	14.04 KB	-rw-r--r--
test_frozen.py	2.2 KB	-rw-r--r--
test_fstring.py	64.71 KB	-rw-r--r--
test_ftplib.py	41.94 KB	-rw-r--r--
test_funcattrs.py	15.57 KB	-rw-r--r--
test_functools.py	109.31 KB	-rw-r--r--
test_gc.py	47.71 KB	-rw-r--r--
test_generator_stop.py	943 B	-rw-r--r--
test_generators.py	66.13 KB	-rw-r--r--
test_genericalias.py	17.78 KB	-rw-r--r--
test_genericclass.py	9.44 KB	-rw-r--r--
test_genericpath.py	22.29 KB	-rw-r--r--
test_genexps.py	7.3 KB	-rw-r--r--
test_getopt.py	6.6 KB	-rw-r--r--
test_getpass.py	6.37 KB	-rw-r--r--
test_getpath.py	44.36 KB	-rw-r--r--
test_gettext.py	35.67 KB	-rw-r--r--
test_glob.py	17.19 KB	-rw-r--r--
test_global.py	1.2 KB	-rw-r--r--
test_grammar.py	65.97 KB	-rw-r--r--
test_graphlib.py	8.31 KB	-rw-r--r--
test_grp.py	3.67 KB	-rw-r--r--
test_gzip.py	40.94 KB	-rw-r--r--
test_hash.py	12.11 KB	-rw-r--r--
test_hashlib.py	46.71 KB	-rw-r--r--
test_heapq.py	16.42 KB	-rw-r--r--
test_hmac.py	26.06 KB	-rw-r--r--
test_html.py	4.23 KB	-rw-r--r--
test_htmlparser.py	33.37 KB	-rw-r--r--
test_http_cookiejar.py	81.57 KB	-rw-r--r--
test_http_cookies.py	18.7 KB	-rw-r--r--
test_httplib.py	96.14 KB	-rw-r--r--
test_httpservers.py	56.43 KB	-rw-r--r--
test_idle.py	831 B	-rw-r--r--
test_imaplib.py	41.69 KB	-rw-r--r--
test_imghdr.py	4.81 KB	-rw-r--r--
test_index.py	8.37 KB	-rw-r--r--
test_int.py	33.34 KB	-rw-r--r--
test_int_literal.py	6.89 KB	-rw-r--r--
test_interpreters.py	32.11 KB	-rw-r--r--
test_io.py	182.76 KB	-rw-r--r--
test_ioctl.py	3.24 KB	-rw-r--r--
test_ipaddress.py	119.17 KB	-rw-r--r--
test_isinstance.py	12.95 KB	-rw-r--r--
test_iter.py	36.77 KB	-rw-r--r--
test_iterlen.py	7.1 KB	-rw-r--r--
test_itertools.py	106.61 KB	-rw-r--r--
test_keyword.py	2 KB	-rw-r--r--
test_keywordonlyarg.py	6.89 KB	-rw-r--r--
test_kqueue.py	9.36 KB	-rw-r--r--
test_largefile.py	10.17 KB	-rw-r--r--
test_launcher.py	27.23 KB	-rw-r--r--
test_linecache.py	11.04 KB	-rw-r--r--
test_list.py	8.93 KB	-rw-r--r--
test_listcomps.py	20.71 KB	-rw-r--r--
test_lltrace.py	3.71 KB	-rw-r--r--
test_locale.py	24.43 KB	-rw-r--r--
test_logging.py	241.62 KB	-rw-r--r--
test_long.py	63.33 KB	-rw-r--r--
test_longexp.py	233 B	-rw-r--r--
test_lzma.py	92.65 KB	-rw-r--r--
test_mailbox.py	93.91 KB	-rw-r--r--
test_mailcap.py	11.48 KB	-rw-r--r--
test_marshal.py	23.15 KB	-rw-r--r--
test_math.py	107.6 KB	-rw-r--r--
test_math_property.py	1.15 KB	-rw-r--r--
test_memoryio.py	32.65 KB	-rw-r--r--
test_memoryview.py	21.76 KB	-rw-r--r--
test_metaclass.py	6.19 KB	-rw-r--r--
test_mimetypes.py	15.28 KB	-rw-r--r--
test_minidom.py	68.42 KB	-rw-r--r--
test_mmap.py	38.56 KB	-rw-r--r--
test_modulefinder.py	12.21 KB	-rw-r--r--
test_monitoring.py	55.76 KB	-rw-r--r--
test_msilib.py	5.52 KB	-rw-r--r--
test_multibytecodec.py	15.79 KB	-rw-r--r--
test_multiprocessing_main_hand...	11.48 KB	-rw-r--r--
test_named_expressions.py	29.62 KB	-rw-r--r--
test_netrc.py	11.86 KB	-rw-r--r--
test_nis.py	1.25 KB	-rw-r--r--
test_nntplib.py	62.7 KB	-rw-r--r--
test_ntpath.py	52.48 KB	-rw-r--r--
test_numeric_tower.py	8 KB	-rw-r--r--
test_opcache.py	10.89 KB	-rw-r--r--
test_opcodes.py	3.62 KB	-rw-r--r--
test_openpty.py	600 B	-rw-r--r--
test_operator.py	26.72 KB	-rw-r--r--
test_optparse.py	61.02 KB	-rw-r--r--
test_ordered_dict.py	35.62 KB	-rw-r--r--
test_os.py	179.95 KB	-rw-r--r--
test_ossaudiodev.py	7.27 KB	-rw-r--r--
test_osx_env.py	1.31 KB	-rw-r--r--
test_pathlib.py	137.81 KB	-rw-r--r--
test_patma.py	86.03 KB	-rw-r--r--
test_pdb.py	86.53 KB	-rw-r--r--
test_peepholer.py	40.6 KB	-rw-r--r--
test_pep646_syntax.py	7.79 KB	-rw-r--r--
test_perf_profiler.py	11.27 KB	-rw-r--r--
test_perfmaps.py	685 B	-rw-r--r--
test_pickle.py	20.75 KB	-rw-r--r--
test_picklebuffer.py	4.99 KB	-rw-r--r--
test_pickletools.py	4.13 KB	-rw-r--r--
test_pipes.py	6.79 KB	-rw-r--r--
test_pkg.py	9.59 KB	-rw-r--r--
test_pkgutil.py	22.36 KB	-rw-r--r--
test_platform.py	21.59 KB	-rw-r--r--
test_plistlib.py	41.25 KB	-rw-r--r--
test_poll.py	7.39 KB	-rw-r--r--
test_popen.py	2.11 KB	-rw-r--r--
test_poplib.py	17.05 KB	-rw-r--r--
test_positional_only_arg.py	18.44 KB	-rw-r--r--
test_posix.py	95.07 KB	-rw-r--r--
test_posixpath.py	33.75 KB	-rw-r--r--
test_pow.py	6.38 KB	-rw-r--r--
test_pprint.py	50.59 KB	-rw-r--r--
test_print.py	7.72 KB	-rw-r--r--
test_profile.py	8.69 KB	-rw-r--r--
test_property.py	18.03 KB	-rw-r--r--
test_pstats.py	4.31 KB	-rw-r--r--
test_pty.py	16.18 KB	-rw-r--r--
test_pulldom.py	12.33 KB	-rw-r--r--
test_pwd.py	4.32 KB	-rw-r--r--
test_py_compile.py	11.93 KB	-rw-r--r--
test_pyclbr.py	10.15 KB	-rw-r--r--
test_pyexpat.py	29.35 KB	-rw-r--r--
test_queue.py	20.61 KB	-rw-r--r--
test_quopri.py	7.87 KB	-rw-r--r--
test_raise.py	13.44 KB	-rw-r--r--
test_random.py	56.69 KB	-rw-r--r--
test_range.py	26.53 KB	-rw-r--r--
test_re.py	131.37 KB	-rw-r--r--
test_readline.py	12.76 KB	-rw-r--r--
test_regrtest.py	90.02 KB	-rw-r--r--
test_repl.py	4.99 KB	-rw-r--r--
test_reprlib.py	27.77 KB	-rw-r--r--
test_resource.py	7.12 KB	-rw-r--r--
test_richcmp.py	11.95 KB	-rw-r--r--
test_rlcompleter.py	7.4 KB	-rw-r--r--
test_robotparser.py	11.02 KB	-rw-r--r--
test_runpy.py	33.95 KB	-rw-r--r--
test_sax.py	54.63 KB	-rw-r--r--
test_sched.py	7.38 KB	-rw-r--r--
test_scope.py	21.21 KB	-rw-r--r--
test_script_helper.py	5.82 KB	-rw-r--r--
test_secrets.py	4.28 KB	-rw-r--r--
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Code Editor : test_float.py

import fractions
import operator
import os
import random
import sys
import struct
import time
import unittest

from test import support
from test.test_grammar import (VALID_UNDERSCORE_LITERALS,
                               INVALID_UNDERSCORE_LITERALS)
from math import isinf, isnan, copysign, ldexp
import math

try:
    import _testcapi
except ImportError:
    _testcapi = None

INF = float("inf")
NAN = float("nan")

#locate file with float format test values
test_dir = os.path.dirname(__file__) or os.curdir
format_testfile = os.path.join(test_dir, 'formatfloat_testcases.txt')

class FloatSubclass(float):
    pass

class OtherFloatSubclass(float):
    pass

class GeneralFloatCases(unittest.TestCase):

def test_float(self):
        self.assertEqual(float(3.14), 3.14)
        self.assertEqual(float(314), 314.0)
        self.assertEqual(float("  3.14  "), 3.14)
        self.assertRaises(ValueError, float, "  0x3.1  ")
        self.assertRaises(ValueError, float, "  -0x3.p-1  ")
        self.assertRaises(ValueError, float, "  +0x3.p-1  ")
        self.assertRaises(ValueError, float, "++3.14")
        self.assertRaises(ValueError, float, "+-3.14")
        self.assertRaises(ValueError, float, "-+3.14")
        self.assertRaises(ValueError, float, "--3.14")
        self.assertRaises(ValueError, float, ".nan")
        self.assertRaises(ValueError, float, "+.inf")
        self.assertRaises(ValueError, float, ".")
        self.assertRaises(ValueError, float, "-.")
        self.assertRaises(TypeError, float, {})
        self.assertRaisesRegex(TypeError, "not 'dict'", float, {})
        # Lone surrogate
        self.assertRaises(ValueError, float, '\uD8F0')
        # check that we don't accept alternate exponent markers
        self.assertRaises(ValueError, float, "-1.7d29")
        self.assertRaises(ValueError, float, "3D-14")
        self.assertEqual(float("  \u0663.\u0661\u0664  "), 3.14)
        self.assertEqual(float("\N{EM SPACE}3.14\N{EN SPACE}"), 3.14)
        # extra long strings should not be a problem
        float(b'.' + b'1'*1000)
        float('.' + '1'*1000)
        # Invalid unicode string
        # See bpo-34087
        self.assertRaises(ValueError, float, '\u3053\u3093\u306b\u3061\u306f')

def test_noargs(self):
        self.assertEqual(float(), 0.0)

def test_underscores(self):
        for lit in VALID_UNDERSCORE_LITERALS:
            if not any(ch in lit for ch in 'jJxXoObB'):
                self.assertEqual(float(lit), eval(lit))
                self.assertEqual(float(lit), float(lit.replace('_', '')))
        for lit in INVALID_UNDERSCORE_LITERALS:
            if lit in ('0_7', '09_99'):  # octals are not recognized here
                continue
            if not any(ch in lit for ch in 'jJxXoObB'):
                self.assertRaises(ValueError, float, lit)
        # Additional test cases; nan and inf are never valid as literals,
        # only in the float() constructor, but we don't allow underscores
        # in or around them.
        self.assertRaises(ValueError, float, '_NaN')
        self.assertRaises(ValueError, float, 'Na_N')
        self.assertRaises(ValueError, float, 'IN_F')
        self.assertRaises(ValueError, float, '-_INF')
        self.assertRaises(ValueError, float, '-INF_')
        # Check that we handle bytes values correctly.
        self.assertRaises(ValueError, float, b'0_.\xff9')

def test_non_numeric_input_types(self):
        # Test possible non-numeric types for the argument x, including
        # subclasses of the explicitly documented accepted types.
        class CustomStr(str): pass
        class CustomBytes(bytes): pass
        class CustomByteArray(bytearray): pass

factories = [
            bytes,
            bytearray,
            lambda b: CustomStr(b.decode()),
            CustomBytes,
            CustomByteArray,
            memoryview,
        ]
        try:
            from array import array
        except ImportError:
            pass
        else:
            factories.append(lambda b: array('B', b))

for f in factories:
            x = f(b" 3.14  ")
            with self.subTest(type(x)):
                self.assertEqual(float(x), 3.14)
                with self.assertRaisesRegex(ValueError, "could not convert"):
                    float(f(b'A' * 0x10))

def test_float_memoryview(self):
        self.assertEqual(float(memoryview(b'12.3')[1:4]), 2.3)
        self.assertEqual(float(memoryview(b'12.3\x00')[1:4]), 2.3)
        self.assertEqual(float(memoryview(b'12.3 ')[1:4]), 2.3)
        self.assertEqual(float(memoryview(b'12.3A')[1:4]), 2.3)
        self.assertEqual(float(memoryview(b'12.34')[1:4]), 2.3)

def test_error_message(self):
        def check(s):
            with self.assertRaises(ValueError, msg='float(%r)' % (s,)) as cm:
                float(s)
            self.assertEqual(str(cm.exception),
                'could not convert string to float: %r' % (s,))

check('\xbd')
        check('123\xbd')
        check('  123 456  ')
        check(b'  123 456  ')
        # all whitespace (cf. https://github.com/python/cpython/issues/95605)
        check('')
        check(' ')
        check('\t \n')

# non-ascii digits (error came from non-digit '!')
        check('\u0663\u0661\u0664!')
        # embedded NUL
        check('123\x00')
        check('123\x00 245')
        check('123\x00245')
        # byte string with embedded NUL
        check(b'123\x00')
        # non-UTF-8 byte string
        check(b'123\xa0')

@support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE')
    def test_float_with_comma(self):
        # set locale to something that doesn't use '.' for the decimal point
        # float must not accept the locale specific decimal point but
        # it still has to accept the normal python syntax
        import locale
        if not locale.localeconv()['decimal_point'] == ',':
            self.skipTest('decimal_point is not ","')

self.assertEqual(float("  3.14  "), 3.14)
        self.assertEqual(float("+3.14  "), 3.14)
        self.assertEqual(float("-3.14  "), -3.14)
        self.assertEqual(float(".14  "), .14)
        self.assertEqual(float("3.  "), 3.0)
        self.assertEqual(float("3.e3  "), 3000.0)
        self.assertEqual(float("3.2e3  "), 3200.0)
        self.assertEqual(float("2.5e-1  "), 0.25)
        self.assertEqual(float("5e-1"), 0.5)
        self.assertRaises(ValueError, float, "  3,14  ")
        self.assertRaises(ValueError, float, "  +3,14  ")
        self.assertRaises(ValueError, float, "  -3,14  ")
        self.assertRaises(ValueError, float, "  0x3.1  ")
        self.assertRaises(ValueError, float, "  -0x3.p-1  ")
        self.assertRaises(ValueError, float, "  +0x3.p-1  ")
        self.assertEqual(float("  25.e-1  "), 2.5)
        self.assertAlmostEqual(float("  .25e-1  "), .025)

def test_floatconversion(self):
        # Make sure that calls to __float__() work properly
        class Foo1(object):
            def __float__(self):
                return 42.

class Foo2(float):
            def __float__(self):
                return 42.

class Foo3(float):
            def __new__(cls, value=0.):
                return float.__new__(cls, 2*value)

def __float__(self):
                return self

class Foo4(float):
            def __float__(self):
                return 42

# Issue 5759: __float__ not called on str subclasses (though it is on
        # unicode subclasses).
        class FooStr(str):
            def __float__(self):
                return float(str(self)) + 1

self.assertEqual(float(Foo1()), 42.)
        self.assertEqual(float(Foo2()), 42.)
        with self.assertWarns(DeprecationWarning):
            self.assertEqual(float(Foo3(21)), 42.)
        self.assertRaises(TypeError, float, Foo4(42))
        self.assertEqual(float(FooStr('8')), 9.)

class Foo5:
            def __float__(self):
                return ""
        self.assertRaises(TypeError, time.sleep, Foo5())

# Issue #24731
        class F:
            def __float__(self):
                return OtherFloatSubclass(42.)
        with self.assertWarns(DeprecationWarning):
            self.assertEqual(float(F()), 42.)
        with self.assertWarns(DeprecationWarning):
            self.assertIs(type(float(F())), float)
        with self.assertWarns(DeprecationWarning):
            self.assertEqual(FloatSubclass(F()), 42.)
        with self.assertWarns(DeprecationWarning):
            self.assertIs(type(FloatSubclass(F())), FloatSubclass)

class MyIndex:
            def __init__(self, value):
                self.value = value
            def __index__(self):
                return self.value

self.assertEqual(float(MyIndex(42)), 42.0)
        self.assertRaises(OverflowError, float, MyIndex(2**2000))

class MyInt:
            def __int__(self):
                return 42

self.assertRaises(TypeError, float, MyInt())

def test_keyword_args(self):
        with self.assertRaisesRegex(TypeError, 'keyword argument'):
            float(x='3.14')

def test_keywords_in_subclass(self):
        class subclass(float):
            pass
        u = subclass(2.5)
        self.assertIs(type(u), subclass)
        self.assertEqual(float(u), 2.5)
        with self.assertRaises(TypeError):
            subclass(x=0)

class subclass_with_init(float):
            def __init__(self, arg, newarg=None):
                self.newarg = newarg
        u = subclass_with_init(2.5, newarg=3)
        self.assertIs(type(u), subclass_with_init)
        self.assertEqual(float(u), 2.5)
        self.assertEqual(u.newarg, 3)

class subclass_with_new(float):
            def __new__(cls, arg, newarg=None):
                self = super().__new__(cls, arg)
                self.newarg = newarg
                return self
        u = subclass_with_new(2.5, newarg=3)
        self.assertIs(type(u), subclass_with_new)
        self.assertEqual(float(u), 2.5)
        self.assertEqual(u.newarg, 3)

def test_is_integer(self):
        self.assertFalse((1.1).is_integer())
        self.assertTrue((1.).is_integer())
        self.assertFalse(float("nan").is_integer())
        self.assertFalse(float("inf").is_integer())

def test_floatasratio(self):
        for f, ratio in [
                (0.875, (7, 8)),
                (-0.875, (-7, 8)),
                (0.0, (0, 1)),
                (11.5, (23, 2)),
            ]:
            self.assertEqual(f.as_integer_ratio(), ratio)

for i in range(10000):
            f = random.random()
            f *= 10 ** random.randint(-100, 100)
            n, d = f.as_integer_ratio()
            self.assertEqual(float(n).__truediv__(d), f)

R = fractions.Fraction
        self.assertEqual(R(0, 1),
                         R(*float(0.0).as_integer_ratio()))
        self.assertEqual(R(5, 2),
                         R(*float(2.5).as_integer_ratio()))
        self.assertEqual(R(1, 2),
                         R(*float(0.5).as_integer_ratio()))
        self.assertEqual(R(4728779608739021, 2251799813685248),
                         R(*float(2.1).as_integer_ratio()))
        self.assertEqual(R(-4728779608739021, 2251799813685248),
                         R(*float(-2.1).as_integer_ratio()))
        self.assertEqual(R(-2100, 1),
                         R(*float(-2100.0).as_integer_ratio()))

self.assertRaises(OverflowError, float('inf').as_integer_ratio)
        self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
        self.assertRaises(ValueError, float('nan').as_integer_ratio)

def test_float_containment(self):
        floats = (INF, -INF, 0.0, 1.0, NAN)
        for f in floats:
            self.assertIn(f, [f])
            self.assertIn(f, (f,))
            self.assertIn(f, {f})
            self.assertIn(f, {f: None})
            self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f)
            self.assertIn(f, floats)

for f in floats:
            # nonidentical containers, same type, same contents
            self.assertTrue([f] == [f], "[%r] != [%r]" % (f, f))
            self.assertTrue((f,) == (f,), "(%r,) != (%r,)" % (f, f))
            self.assertTrue({f} == {f}, "{%r} != {%r}" % (f, f))
            self.assertTrue({f : None} == {f: None}, "{%r : None} != "
                                                   "{%r : None}" % (f, f))

# identical containers
            l, t, s, d = [f], (f,), {f}, {f: None}
            self.assertTrue(l == l, "[%r] not equal to itself" % f)
            self.assertTrue(t == t, "(%r,) not equal to itself" % f)
            self.assertTrue(s == s, "{%r} not equal to itself" % f)
            self.assertTrue(d == d, "{%r : None} not equal to itself" % f)

def assertEqualAndEqualSign(self, a, b):
        # fail unless a == b and a and b have the same sign bit;
        # the only difference from assertEqual is that this test
        # distinguishes -0.0 and 0.0.
        self.assertEqual((a, copysign(1.0, a)), (b, copysign(1.0, b)))

def test_float_floor(self):
        self.assertIsInstance(float(0.5).__floor__(), int)
        self.assertEqual(float(0.5).__floor__(), 0)
        self.assertEqual(float(1.0).__floor__(), 1)
        self.assertEqual(float(1.5).__floor__(), 1)
        self.assertEqual(float(-0.5).__floor__(), -1)
        self.assertEqual(float(-1.0).__floor__(), -1)
        self.assertEqual(float(-1.5).__floor__(), -2)
        self.assertEqual(float(1.23e167).__floor__(), 1.23e167)
        self.assertEqual(float(-1.23e167).__floor__(), -1.23e167)
        self.assertRaises(ValueError, float("nan").__floor__)
        self.assertRaises(OverflowError, float("inf").__floor__)
        self.assertRaises(OverflowError, float("-inf").__floor__)

def test_float_ceil(self):
        self.assertIsInstance(float(0.5).__ceil__(), int)
        self.assertEqual(float(0.5).__ceil__(), 1)
        self.assertEqual(float(1.0).__ceil__(), 1)
        self.assertEqual(float(1.5).__ceil__(), 2)
        self.assertEqual(float(-0.5).__ceil__(), 0)
        self.assertEqual(float(-1.0).__ceil__(), -1)
        self.assertEqual(float(-1.5).__ceil__(), -1)
        self.assertEqual(float(1.23e167).__ceil__(), 1.23e167)
        self.assertEqual(float(-1.23e167).__ceil__(), -1.23e167)
        self.assertRaises(ValueError, float("nan").__ceil__)
        self.assertRaises(OverflowError, float("inf").__ceil__)
        self.assertRaises(OverflowError, float("-inf").__ceil__)

@support.requires_IEEE_754
    def test_float_mod(self):
        # Check behaviour of % operator for IEEE 754 special cases.
        # In particular, check signs of zeros.
        mod = operator.mod

self.assertEqualAndEqualSign(mod(-1.0, 1.0), 0.0)
        self.assertEqualAndEqualSign(mod(-1e-100, 1.0), 1.0)
        self.assertEqualAndEqualSign(mod(-0.0, 1.0), 0.0)
        self.assertEqualAndEqualSign(mod(0.0, 1.0), 0.0)
        self.assertEqualAndEqualSign(mod(1e-100, 1.0), 1e-100)
        self.assertEqualAndEqualSign(mod(1.0, 1.0), 0.0)

self.assertEqualAndEqualSign(mod(-1.0, -1.0), -0.0)
        self.assertEqualAndEqualSign(mod(-1e-100, -1.0), -1e-100)
        self.assertEqualAndEqualSign(mod(-0.0, -1.0), -0.0)
        self.assertEqualAndEqualSign(mod(0.0, -1.0), -0.0)
        self.assertEqualAndEqualSign(mod(1e-100, -1.0), -1.0)
        self.assertEqualAndEqualSign(mod(1.0, -1.0), -0.0)

@support.requires_IEEE_754
    def test_float_pow(self):
        # test builtin pow and ** operator for IEEE 754 special cases.
        # Special cases taken from section F.9.4.4 of the C99 specification

for pow_op in pow, operator.pow:
            # x**NAN is NAN for any x except 1
            self.assertTrue(isnan(pow_op(-INF, NAN)))
            self.assertTrue(isnan(pow_op(-2.0, NAN)))
            self.assertTrue(isnan(pow_op(-1.0, NAN)))
            self.assertTrue(isnan(pow_op(-0.5, NAN)))
            self.assertTrue(isnan(pow_op(-0.0, NAN)))
            self.assertTrue(isnan(pow_op(0.0, NAN)))
            self.assertTrue(isnan(pow_op(0.5, NAN)))
            self.assertTrue(isnan(pow_op(2.0, NAN)))
            self.assertTrue(isnan(pow_op(INF, NAN)))
            self.assertTrue(isnan(pow_op(NAN, NAN)))

# NAN**y is NAN for any y except +-0
            self.assertTrue(isnan(pow_op(NAN, -INF)))
            self.assertTrue(isnan(pow_op(NAN, -2.0)))
            self.assertTrue(isnan(pow_op(NAN, -1.0)))
            self.assertTrue(isnan(pow_op(NAN, -0.5)))
            self.assertTrue(isnan(pow_op(NAN, 0.5)))
            self.assertTrue(isnan(pow_op(NAN, 1.0)))
            self.assertTrue(isnan(pow_op(NAN, 2.0)))
            self.assertTrue(isnan(pow_op(NAN, INF)))

# (+-0)**y raises ZeroDivisionError for y a negative odd integer
            self.assertRaises(ZeroDivisionError, pow_op, -0.0, -1.0)
            self.assertRaises(ZeroDivisionError, pow_op, 0.0, -1.0)

# (+-0)**y raises ZeroDivisionError for y finite and negative
            # but not an odd integer
            self.assertRaises(ZeroDivisionError, pow_op, -0.0, -2.0)
            self.assertRaises(ZeroDivisionError, pow_op, -0.0, -0.5)
            self.assertRaises(ZeroDivisionError, pow_op, 0.0, -2.0)
            self.assertRaises(ZeroDivisionError, pow_op, 0.0, -0.5)

# (+-0)**y is +-0 for y a positive odd integer
            self.assertEqualAndEqualSign(pow_op(-0.0, 1.0), -0.0)
            self.assertEqualAndEqualSign(pow_op(0.0, 1.0), 0.0)

# (+-0)**y is 0 for y finite and positive but not an odd integer
            self.assertEqualAndEqualSign(pow_op(-0.0, 0.5), 0.0)
            self.assertEqualAndEqualSign(pow_op(-0.0, 2.0), 0.0)
            self.assertEqualAndEqualSign(pow_op(0.0, 0.5), 0.0)
            self.assertEqualAndEqualSign(pow_op(0.0, 2.0), 0.0)

# (-1)**+-inf is 1
            self.assertEqualAndEqualSign(pow_op(-1.0, -INF), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, INF), 1.0)

# 1**y is 1 for any y, even if y is an infinity or nan
            self.assertEqualAndEqualSign(pow_op(1.0, -INF), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, -2.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, -1.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, -0.5), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, 0.5), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, 1.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, 2.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, INF), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, NAN), 1.0)

# x**+-0 is 1 for any x, even if x is a zero, infinity, or nan
            self.assertEqualAndEqualSign(pow_op(-INF, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-0.5, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-0.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(0.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(0.5, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(INF, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(NAN, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-INF, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-0.5, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-0.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(0.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(0.5, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(INF, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(NAN, -0.0), 1.0)

# x**y defers to complex pow for finite negative x and
            # non-integral y.
            self.assertEqual(type(pow_op(-2.0, -0.5)), complex)
            self.assertEqual(type(pow_op(-2.0, 0.5)), complex)
            self.assertEqual(type(pow_op(-1.0, -0.5)), complex)
            self.assertEqual(type(pow_op(-1.0, 0.5)), complex)
            self.assertEqual(type(pow_op(-0.5, -0.5)), complex)
            self.assertEqual(type(pow_op(-0.5, 0.5)), complex)

# x**-INF is INF for abs(x) < 1
            self.assertEqualAndEqualSign(pow_op(-0.5, -INF), INF)
            self.assertEqualAndEqualSign(pow_op(-0.0, -INF), INF)
            self.assertEqualAndEqualSign(pow_op(0.0, -INF), INF)
            self.assertEqualAndEqualSign(pow_op(0.5, -INF), INF)

# x**-INF is 0 for abs(x) > 1
            self.assertEqualAndEqualSign(pow_op(-INF, -INF), 0.0)
            self.assertEqualAndEqualSign(pow_op(-2.0, -INF), 0.0)
            self.assertEqualAndEqualSign(pow_op(2.0, -INF), 0.0)
            self.assertEqualAndEqualSign(pow_op(INF, -INF), 0.0)

# x**INF is 0 for abs(x) < 1
            self.assertEqualAndEqualSign(pow_op(-0.5, INF), 0.0)
            self.assertEqualAndEqualSign(pow_op(-0.0, INF), 0.0)
            self.assertEqualAndEqualSign(pow_op(0.0, INF), 0.0)
            self.assertEqualAndEqualSign(pow_op(0.5, INF), 0.0)

# x**INF is INF for abs(x) > 1
            self.assertEqualAndEqualSign(pow_op(-INF, INF), INF)
            self.assertEqualAndEqualSign(pow_op(-2.0, INF), INF)
            self.assertEqualAndEqualSign(pow_op(2.0, INF), INF)
            self.assertEqualAndEqualSign(pow_op(INF, INF), INF)

# (-INF)**y is -0.0 for y a negative odd integer
            self.assertEqualAndEqualSign(pow_op(-INF, -1.0), -0.0)

# (-INF)**y is 0.0 for y negative but not an odd integer
            self.assertEqualAndEqualSign(pow_op(-INF, -0.5), 0.0)
            self.assertEqualAndEqualSign(pow_op(-INF, -2.0), 0.0)

# (-INF)**y is -INF for y a positive odd integer
            self.assertEqualAndEqualSign(pow_op(-INF, 1.0), -INF)

# (-INF)**y is INF for y positive but not an odd integer
            self.assertEqualAndEqualSign(pow_op(-INF, 0.5), INF)
            self.assertEqualAndEqualSign(pow_op(-INF, 2.0), INF)

# INF**y is INF for y positive
            self.assertEqualAndEqualSign(pow_op(INF, 0.5), INF)
            self.assertEqualAndEqualSign(pow_op(INF, 1.0), INF)
            self.assertEqualAndEqualSign(pow_op(INF, 2.0), INF)

# INF**y is 0.0 for y negative
            self.assertEqualAndEqualSign(pow_op(INF, -2.0), 0.0)
            self.assertEqualAndEqualSign(pow_op(INF, -1.0), 0.0)
            self.assertEqualAndEqualSign(pow_op(INF, -0.5), 0.0)

# basic checks not covered by the special cases above
            self.assertEqualAndEqualSign(pow_op(-2.0, -2.0), 0.25)
            self.assertEqualAndEqualSign(pow_op(-2.0, -1.0), -0.5)
            self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-2.0, 1.0), -2.0)
            self.assertEqualAndEqualSign(pow_op(-2.0, 2.0), 4.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, -2.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, -1.0), -1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, 1.0), -1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, 2.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(2.0, -2.0), 0.25)
            self.assertEqualAndEqualSign(pow_op(2.0, -1.0), 0.5)
            self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
            self.assertEqualAndEqualSign(pow_op(2.0, 1.0), 2.0)
            self.assertEqualAndEqualSign(pow_op(2.0, 2.0), 4.0)

# 1 ** large and -1 ** large; some libms apparently
            # have problems with these
            self.assertEqualAndEqualSign(pow_op(1.0, -1e100), 1.0)
            self.assertEqualAndEqualSign(pow_op(1.0, 1e100), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, -1e100), 1.0)
            self.assertEqualAndEqualSign(pow_op(-1.0, 1e100), 1.0)

# check sign for results that underflow to 0
            self.assertEqualAndEqualSign(pow_op(-2.0, -2000.0), 0.0)
            self.assertEqual(type(pow_op(-2.0, -2000.5)), complex)
            self.assertEqualAndEqualSign(pow_op(-2.0, -2001.0), -0.0)
            self.assertEqualAndEqualSign(pow_op(2.0, -2000.0), 0.0)
            self.assertEqualAndEqualSign(pow_op(2.0, -2000.5), 0.0)
            self.assertEqualAndEqualSign(pow_op(2.0, -2001.0), 0.0)
            self.assertEqualAndEqualSign(pow_op(-0.5, 2000.0), 0.0)
            self.assertEqual(type(pow_op(-0.5, 2000.5)), complex)
            self.assertEqualAndEqualSign(pow_op(-0.5, 2001.0), -0.0)
            self.assertEqualAndEqualSign(pow_op(0.5, 2000.0), 0.0)
            self.assertEqualAndEqualSign(pow_op(0.5, 2000.5), 0.0)
            self.assertEqualAndEqualSign(pow_op(0.5, 2001.0), 0.0)

# check we don't raise an exception for subnormal results,
            # and validate signs.  Tests currently disabled, since
            # they fail on systems where a subnormal result from pow
            # is flushed to zero (e.g. Debian/ia64.)
            #self.assertTrue(0.0 < pow_op(0.5, 1048) < 1e-315)
            #self.assertTrue(0.0 < pow_op(-0.5, 1048) < 1e-315)
            #self.assertTrue(0.0 < pow_op(0.5, 1047) < 1e-315)
            #self.assertTrue(0.0 > pow_op(-0.5, 1047) > -1e-315)
            #self.assertTrue(0.0 < pow_op(2.0, -1048) < 1e-315)
            #self.assertTrue(0.0 < pow_op(-2.0, -1048) < 1e-315)
            #self.assertTrue(0.0 < pow_op(2.0, -1047) < 1e-315)
            #self.assertTrue(0.0 > pow_op(-2.0, -1047) > -1e-315)

def test_hash(self):
        for x in range(-30, 30):
            self.assertEqual(hash(float(x)), hash(x))
        self.assertEqual(hash(float(sys.float_info.max)),
                         hash(int(sys.float_info.max)))
        self.assertEqual(hash(float('inf')), sys.hash_info.inf)
        self.assertEqual(hash(float('-inf')), -sys.hash_info.inf)

def test_hash_nan(self):
        value = float('nan')
        self.assertEqual(hash(value), object.__hash__(value))
        class H:
            def __hash__(self):
                return 42
        class F(float, H):
            pass
        value = F('nan')
        self.assertEqual(hash(value), object.__hash__(value))

@unittest.skipUnless(hasattr(float, "__getformat__"), "requires __getformat__")
class FormatFunctionsTestCase(unittest.TestCase):
    def test_getformat(self):
        self.assertIn(float.__getformat__('double'),
                      ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
        self.assertIn(float.__getformat__('float'),
                      ['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
        self.assertRaises(ValueError, float.__getformat__, 'chicken')
        self.assertRaises(TypeError, float.__getformat__, 1)

BE_DOUBLE_INF = b'\x7f\xf0\x00\x00\x00\x00\x00\x00'
LE_DOUBLE_INF = bytes(reversed(BE_DOUBLE_INF))
BE_DOUBLE_NAN = b'\x7f\xf8\x00\x00\x00\x00\x00\x00'
LE_DOUBLE_NAN = bytes(reversed(BE_DOUBLE_NAN))

BE_FLOAT_INF = b'\x7f\x80\x00\x00'
LE_FLOAT_INF = bytes(reversed(BE_FLOAT_INF))
BE_FLOAT_NAN = b'\x7f\xc0\x00\x00'
LE_FLOAT_NAN = bytes(reversed(BE_FLOAT_NAN))

# on an IEEE platform, all we guarantee is that bit patterns
# representing infinities or NaNs do not raise an exception; all else
# is accident (today).
# let's also try to guarantee that -0.0 and 0.0 don't get confused.

class IEEEFormatTestCase(unittest.TestCase):

@support.requires_IEEE_754
    def test_double_specials_do_unpack(self):
        for fmt, data in [('>d', BE_DOUBLE_INF),
                          ('>d', BE_DOUBLE_NAN),
                          ('<d', LE_DOUBLE_INF),
                          ('<d', LE_DOUBLE_NAN)]:
            struct.unpack(fmt, data)

@support.requires_IEEE_754
    def test_float_specials_do_unpack(self):
        for fmt, data in [('>f', BE_FLOAT_INF),
                          ('>f', BE_FLOAT_NAN),
                          ('<f', LE_FLOAT_INF),
                          ('<f', LE_FLOAT_NAN)]:
            struct.unpack(fmt, data)

@support.requires_IEEE_754
    @unittest.skipIf(_testcapi is None, 'needs _testcapi')
    def test_serialized_float_rounding(self):
        FLT_MAX = _testcapi.FLT_MAX
        self.assertEqual(struct.pack("<f", 3.40282356e38), struct.pack("<f", FLT_MAX))
        self.assertEqual(struct.pack("<f", -3.40282356e38), struct.pack("<f", -FLT_MAX))

class FormatTestCase(unittest.TestCase):

def test_format(self):
        # these should be rewritten to use both format(x, spec) and
        # x.__format__(spec)

self.assertEqual(format(0.0, 'f'), '0.000000')

# the default is 'g', except for empty format spec
        self.assertEqual(format(0.0, ''), '0.0')
        self.assertEqual(format(0.01, ''), '0.01')
        self.assertEqual(format(0.01, 'g'), '0.01')

# empty presentation type should format in the same way as str
        # (issue 5920)
        x = 100/7.
        self.assertEqual(format(x, ''), str(x))
        self.assertEqual(format(x, '-'), str(x))
        self.assertEqual(format(x, '>'), str(x))
        self.assertEqual(format(x, '2'), str(x))

self.assertEqual(format(1.0, 'f'), '1.000000')

self.assertEqual(format(-1.0, 'f'), '-1.000000')

self.assertEqual(format( 1.0, ' f'), ' 1.000000')
        self.assertEqual(format(-1.0, ' f'), '-1.000000')
        self.assertEqual(format( 1.0, '+f'), '+1.000000')
        self.assertEqual(format(-1.0, '+f'), '-1.000000')

# % formatting
        self.assertEqual(format(-1.0, '%'), '-100.000000%')

# conversion to string should fail
        self.assertRaises(ValueError, format, 3.0, "s")

# confirm format options expected to fail on floats, such as integer
        # presentation types
        for format_spec in 'sbcdoxX':
            self.assertRaises(ValueError, format, 0.0, format_spec)
            self.assertRaises(ValueError, format, 1.0, format_spec)
            self.assertRaises(ValueError, format, -1.0, format_spec)
            self.assertRaises(ValueError, format, 1e100, format_spec)
            self.assertRaises(ValueError, format, -1e100, format_spec)
            self.assertRaises(ValueError, format, 1e-100, format_spec)
            self.assertRaises(ValueError, format, -1e-100, format_spec)

# issue 3382
        self.assertEqual(format(NAN, 'f'), 'nan')
        self.assertEqual(format(NAN, 'F'), 'NAN')
        self.assertEqual(format(INF, 'f'), 'inf')
        self.assertEqual(format(INF, 'F'), 'INF')

@support.requires_IEEE_754
    def test_format_testfile(self):
        with open(format_testfile, encoding="utf-8") as testfile:
            for line in testfile:
                if line.startswith('--'):
                    continue
                line = line.strip()
                if not line:
                    continue

lhs, rhs = map(str.strip, line.split('->'))
                fmt, arg = lhs.split()
                f = float(arg)
                self.assertEqual(fmt % f, rhs)
                self.assertEqual(fmt % -f, '-' + rhs)
                if fmt != '%r':
                    fmt2 = fmt[1:]
                    self.assertEqual(format(f, fmt2), rhs)
                    self.assertEqual(format(-f, fmt2), '-' + rhs)

def test_issue5864(self):
        self.assertEqual(format(123.456, '.4'), '123.5')
        self.assertEqual(format(1234.56, '.4'), '1.235e+03')
        self.assertEqual(format(12345.6, '.4'), '1.235e+04')

def test_issue35560(self):
        self.assertEqual(format(123.0, '00'), '123.0')
        self.assertEqual(format(123.34, '00f'), '123.340000')
        self.assertEqual(format(123.34, '00e'), '1.233400e+02')
        self.assertEqual(format(123.34, '00g'), '123.34')
        self.assertEqual(format(123.34, '00.10f'), '123.3400000000')
        self.assertEqual(format(123.34, '00.10e'), '1.2334000000e+02')
        self.assertEqual(format(123.34, '00.10g'), '123.34')
        self.assertEqual(format(123.34, '01f'), '123.340000')

self.assertEqual(format(-123.0, '00'), '-123.0')
        self.assertEqual(format(-123.34, '00f'), '-123.340000')
        self.assertEqual(format(-123.34, '00e'), '-1.233400e+02')
        self.assertEqual(format(-123.34, '00g'), '-123.34')
        self.assertEqual(format(-123.34, '00.10f'), '-123.3400000000')
        self.assertEqual(format(-123.34, '00.10f'), '-123.3400000000')
        self.assertEqual(format(-123.34, '00.10e'), '-1.2334000000e+02')
        self.assertEqual(format(-123.34, '00.10g'), '-123.34')

class ReprTestCase(unittest.TestCase):
    def test_repr(self):
        with open(os.path.join(os.path.split(__file__)[0],
                  'floating_points.txt'), encoding="utf-8") as floats_file:
            for line in floats_file:
                line = line.strip()
                if not line or line.startswith('#'):
                    continue
                v = eval(line)
                self.assertEqual(v, eval(repr(v)))

@unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
                         "applies only when using short float repr style")
    def test_short_repr(self):
        # test short float repr introduced in Python 3.1.  One aspect
        # of this repr is that we get some degree of str -> float ->
        # str roundtripping.  In particular, for any numeric string
        # containing 15 or fewer significant digits, those exact same
        # digits (modulo trailing zeros) should appear in the output.
        # No more repr(0.03) -> "0.029999999999999999"!

test_strings = [
            # output always includes *either* a decimal point and at
            # least one digit after that point, or an exponent.
            '0.0',
            '1.0',
            '0.01',
            '0.02',
            '0.03',
            '0.04',
            '0.05',
            '1.23456789',
            '10.0',
            '100.0',
            # values >= 1e16 get an exponent...
            '1000000000000000.0',
            '9999999999999990.0',
            '1e+16',
            '1e+17',
            # ... and so do values < 1e-4
            '0.001',
            '0.001001',
            '0.00010000000000001',
            '0.0001',
            '9.999999999999e-05',
            '1e-05',
            # values designed to provoke failure if the FPU rounding
            # precision isn't set correctly
            '8.72293771110361e+25',
            '7.47005307342313e+26',
            '2.86438000439698e+28',
            '8.89142905246179e+28',
            '3.08578087079232e+35',
            ]

for s in test_strings:
            negs = '-'+s
            self.assertEqual(s, repr(float(s)))
            self.assertEqual(negs, repr(float(negs)))
            # Since Python 3.2, repr and str are identical
            self.assertEqual(repr(float(s)), str(float(s)))
            self.assertEqual(repr(float(negs)), str(float(negs)))

@support.requires_IEEE_754
class RoundTestCase(unittest.TestCase):

def test_inf_nan(self):
        self.assertRaises(OverflowError, round, INF)
        self.assertRaises(OverflowError, round, -INF)
        self.assertRaises(ValueError, round, NAN)
        self.assertRaises(TypeError, round, INF, 0.0)
        self.assertRaises(TypeError, round, -INF, 1.0)
        self.assertRaises(TypeError, round, NAN, "ceci n'est pas un integer")
        self.assertRaises(TypeError, round, -0.0, 1j)

def test_inf_nan_ndigits(self):
        self.assertEqual(round(INF, 0), INF)
        self.assertEqual(round(-INF, 0), -INF)
        self.assertTrue(math.isnan(round(NAN, 0)))

def test_large_n(self):
        for n in [324, 325, 400, 2**31-1, 2**31, 2**32, 2**100]:
            self.assertEqual(round(123.456, n), 123.456)
            self.assertEqual(round(-123.456, n), -123.456)
            self.assertEqual(round(1e300, n), 1e300)
            self.assertEqual(round(1e-320, n), 1e-320)
        self.assertEqual(round(1e150, 300), 1e150)
        self.assertEqual(round(1e300, 307), 1e300)
        self.assertEqual(round(-3.1415, 308), -3.1415)
        self.assertEqual(round(1e150, 309), 1e150)
        self.assertEqual(round(1.4e-315, 315), 1e-315)

def test_small_n(self):
        for n in [-308, -309, -400, 1-2**31, -2**31, -2**31-1, -2**100]:
            self.assertEqual(round(123.456, n), 0.0)
            self.assertEqual(round(-123.456, n), -0.0)
            self.assertEqual(round(1e300, n), 0.0)
            self.assertEqual(round(1e-320, n), 0.0)

def test_overflow(self):
        self.assertRaises(OverflowError, round, 1.6e308, -308)
        self.assertRaises(OverflowError, round, -1.7e308, -308)

@unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
                         "applies only when using short float repr style")
    def test_previous_round_bugs(self):
        # particular cases that have occurred in bug reports
        self.assertEqual(round(562949953421312.5, 1),
                          562949953421312.5)
        self.assertEqual(round(56294995342131.5, 3),
                         56294995342131.5)
        # round-half-even
        self.assertEqual(round(25.0, -1), 20.0)
        self.assertEqual(round(35.0, -1), 40.0)
        self.assertEqual(round(45.0, -1), 40.0)
        self.assertEqual(round(55.0, -1), 60.0)
        self.assertEqual(round(65.0, -1), 60.0)
        self.assertEqual(round(75.0, -1), 80.0)
        self.assertEqual(round(85.0, -1), 80.0)
        self.assertEqual(round(95.0, -1), 100.0)

@unittest.skipUnless(getattr(sys, 'float_repr_style', '') == 'short',
                         "applies only when using short float repr style")
    def test_matches_float_format(self):
        # round should give the same results as float formatting
        for i in range(500):
            x = i/1000.
            self.assertEqual(float(format(x, '.0f')), round(x, 0))
            self.assertEqual(float(format(x, '.1f')), round(x, 1))
            self.assertEqual(float(format(x, '.2f')), round(x, 2))
            self.assertEqual(float(format(x, '.3f')), round(x, 3))

for i in range(5, 5000, 10):
            x = i/1000.
            self.assertEqual(float(format(x, '.0f')), round(x, 0))
            self.assertEqual(float(format(x, '.1f')), round(x, 1))
            self.assertEqual(float(format(x, '.2f')), round(x, 2))
            self.assertEqual(float(format(x, '.3f')), round(x, 3))

for i in range(500):
            x = random.random()
            self.assertEqual(float(format(x, '.0f')), round(x, 0))
            self.assertEqual(float(format(x, '.1f')), round(x, 1))
            self.assertEqual(float(format(x, '.2f')), round(x, 2))
            self.assertEqual(float(format(x, '.3f')), round(x, 3))

def test_format_specials(self):
        # Test formatting of nans and infs.

def test(fmt, value, expected):
            # Test with both % and format().
            self.assertEqual(fmt % value, expected, fmt)
            fmt = fmt[1:] # strip off the %
            self.assertEqual(format(value, fmt), expected, fmt)

for fmt in ['%e', '%f', '%g', '%.0e', '%.6f', '%.20g',
                    '%#e', '%#f', '%#g', '%#.20e', '%#.15f', '%#.3g']:
            pfmt = '%+' + fmt[1:]
            sfmt = '% ' + fmt[1:]
            test(fmt, INF, 'inf')
            test(fmt, -INF, '-inf')
            test(fmt, NAN, 'nan')
            test(fmt, -NAN, 'nan')
            # When asking for a sign, it's always provided. nans are
            #  always positive.
            test(pfmt, INF, '+inf')
            test(pfmt, -INF, '-inf')
            test(pfmt, NAN, '+nan')
            test(pfmt, -NAN, '+nan')
            # When using ' ' for a sign code, only infs can be negative.
            #  Others have a space.
            test(sfmt, INF, ' inf')
            test(sfmt, -INF, '-inf')
            test(sfmt, NAN, ' nan')
            test(sfmt, -NAN, ' nan')

def test_None_ndigits(self):
        for x in round(1.23), round(1.23, None), round(1.23, ndigits=None):
            self.assertEqual(x, 1)
            self.assertIsInstance(x, int)
        for x in round(1.78), round(1.78, None), round(1.78, ndigits=None):
            self.assertEqual(x, 2)
            self.assertIsInstance(x, int)

# Beginning with Python 2.6 float has cross platform compatible
# ways to create and represent inf and nan
class InfNanTest(unittest.TestCase):
    def test_inf_from_str(self):
        self.assertTrue(isinf(float("inf")))
        self.assertTrue(isinf(float("+inf")))
        self.assertTrue(isinf(float("-inf")))
        self.assertTrue(isinf(float("infinity")))
        self.assertTrue(isinf(float("+infinity")))
        self.assertTrue(isinf(float("-infinity")))

self.assertEqual(repr(float("inf")), "inf")
        self.assertEqual(repr(float("+inf")), "inf")
        self.assertEqual(repr(float("-inf")), "-inf")
        self.assertEqual(repr(float("infinity")), "inf")
        self.assertEqual(repr(float("+infinity")), "inf")
        self.assertEqual(repr(float("-infinity")), "-inf")

self.assertEqual(repr(float("INF")), "inf")
        self.assertEqual(repr(float("+Inf")), "inf")
        self.assertEqual(repr(float("-iNF")), "-inf")
        self.assertEqual(repr(float("Infinity")), "inf")
        self.assertEqual(repr(float("+iNfInItY")), "inf")
        self.assertEqual(repr(float("-INFINITY")), "-inf")

self.assertEqual(str(float("inf")), "inf")
        self.assertEqual(str(float("+inf")), "inf")
        self.assertEqual(str(float("-inf")), "-inf")
        self.assertEqual(str(float("infinity")), "inf")
        self.assertEqual(str(float("+infinity")), "inf")
        self.assertEqual(str(float("-infinity")), "-inf")

self.assertRaises(ValueError, float, "info")
        self.assertRaises(ValueError, float, "+info")
        self.assertRaises(ValueError, float, "-info")
        self.assertRaises(ValueError, float, "in")
        self.assertRaises(ValueError, float, "+in")
        self.assertRaises(ValueError, float, "-in")
        self.assertRaises(ValueError, float, "infinit")
        self.assertRaises(ValueError, float, "+Infin")
        self.assertRaises(ValueError, float, "-INFI")
        self.assertRaises(ValueError, float, "infinitys")

self.assertRaises(ValueError, float, "++Inf")
        self.assertRaises(ValueError, float, "-+inf")
        self.assertRaises(ValueError, float, "+-infinity")
        self.assertRaises(ValueError, float, "--Infinity")

def test_inf_as_str(self):
        self.assertEqual(repr(1e300 * 1e300), "inf")
        self.assertEqual(repr(-1e300 * 1e300), "-inf")

self.assertEqual(str(1e300 * 1e300), "inf")
        self.assertEqual(str(-1e300 * 1e300), "-inf")

def test_nan_from_str(self):
        self.assertTrue(isnan(float("nan")))
        self.assertTrue(isnan(float("+nan")))
        self.assertTrue(isnan(float("-nan")))

self.assertEqual(repr(float("nan")), "nan")
        self.assertEqual(repr(float("+nan")), "nan")
        self.assertEqual(repr(float("-nan")), "nan")

self.assertEqual(repr(float("NAN")), "nan")
        self.assertEqual(repr(float("+NAn")), "nan")
        self.assertEqual(repr(float("-NaN")), "nan")

self.assertEqual(str(float("nan")), "nan")
        self.assertEqual(str(float("+nan")), "nan")
        self.assertEqual(str(float("-nan")), "nan")

self.assertRaises(ValueError, float, "nana")
        self.assertRaises(ValueError, float, "+nana")
        self.assertRaises(ValueError, float, "-nana")
        self.assertRaises(ValueError, float, "na")
        self.assertRaises(ValueError, float, "+na")
        self.assertRaises(ValueError, float, "-na")

self.assertRaises(ValueError, float, "++nan")
        self.assertRaises(ValueError, float, "-+NAN")
        self.assertRaises(ValueError, float, "+-NaN")
        self.assertRaises(ValueError, float, "--nAn")

def test_nan_as_str(self):
        self.assertEqual(repr(1e300 * 1e300 * 0), "nan")
        self.assertEqual(repr(-1e300 * 1e300 * 0), "nan")

self.assertEqual(str(1e300 * 1e300 * 0), "nan")
        self.assertEqual(str(-1e300 * 1e300 * 0), "nan")

def test_inf_signs(self):
        self.assertEqual(copysign(1.0, float('inf')), 1.0)
        self.assertEqual(copysign(1.0, float('-inf')), -1.0)

def test_nan_signs(self):
        # The sign of float('nan') should be predictable.
        self.assertEqual(copysign(1.0, float('nan')), 1.0)
        self.assertEqual(copysign(1.0, float('-nan')), -1.0)

fromHex = float.fromhex
toHex = float.hex
class HexFloatTestCase(unittest.TestCase):
    MAX = fromHex('0x.fffffffffffff8p+1024')  # max normal
    MIN = fromHex('0x1p-1022')                # min normal
    TINY = fromHex('0x0.0000000000001p-1022') # min subnormal
    EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up

def identical(self, x, y):
        # check that floats x and y are identical, or that both
        # are NaNs
        if isnan(x) or isnan(y):
            if isnan(x) == isnan(y):
                return
        elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)):
            return
        self.fail('%r not identical to %r' % (x, y))

def test_ends(self):
        self.identical(self.MIN, ldexp(1.0, -1022))
        self.identical(self.TINY, ldexp(1.0, -1074))
        self.identical(self.EPS, ldexp(1.0, -52))
        self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970)))

def test_invalid_inputs(self):
        invalid_inputs = [
            'infi',   # misspelt infinities and nans
            '-Infinit',
            '++inf',
            '-+Inf',
            '--nan',
            '+-NaN',
            'snan',
            'NaNs',
            'nna',
            'an',
            'nf',
            'nfinity',
            'inity',
            'iinity',
            '0xnan',
            '',
            ' ',
            'x1.0p0',
            '0xX1.0p0',
            '+ 0x1.0p0', # internal whitespace
            '- 0x1.0p0',
            '0 x1.0p0',
            '0x 1.0p0',
            '0x1 2.0p0',
            '+0x1 .0p0',
            '0x1. 0p0',
            '-0x1.0 1p0',
            '-0x1.0 p0',
            '+0x1.0p +0',
            '0x1.0p -0',
            '0x1.0p 0',
            '+0x1.0p+ 0',
            '-0x1.0p- 0',
            '++0x1.0p-0', # double signs
            '--0x1.0p0',
            '+-0x1.0p+0',
            '-+0x1.0p0',
            '0x1.0p++0',
            '+0x1.0p+-0',
            '-0x1.0p-+0',
            '0x1.0p--0',
            '0x1.0.p0',
            '0x.p0', # no hex digits before or after point
            '0x1,p0', # wrong decimal point character
            '0x1pa',
            '0x1p\uff10',  # fullwidth Unicode digits
            '\uff10x1p0',
            '0x\uff11p0',
            '0x1.\uff10p0',
            '0x1p0 \n 0x2p0',
            '0x1p0\0 0x1p0',  # embedded null byte is not end of string
            ]
        for x in invalid_inputs:
            try:
                result = fromHex(x)
            except ValueError:
                pass
            else:
                self.fail('Expected float.fromhex(%r) to raise ValueError; '
                          'got %r instead' % (x, result))

def test_whitespace(self):
        value_pairs = [
            ('inf', INF),
            ('-Infinity', -INF),
            ('nan', NAN),
            ('1.0', 1.0),
            ('-0x.2', -0.125),
            ('-0.0', -0.0)
            ]
        whitespace = [
            '',
            ' ',
            '\t',
            '\n',
            '\n \t',
            '\f',
            '\v',
            '\r'
            ]
        for inp, expected in value_pairs:
            for lead in whitespace:
                for trail in whitespace:
                    got = fromHex(lead + inp + trail)
                    self.identical(got, expected)

def test_from_hex(self):
        MIN = self.MIN
        MAX = self.MAX
        TINY = self.TINY
        EPS = self.EPS

# two spellings of infinity, with optional signs; case-insensitive
        self.identical(fromHex('inf'), INF)
        self.identical(fromHex('+Inf'), INF)
        self.identical(fromHex('-INF'), -INF)
        self.identical(fromHex('iNf'), INF)
        self.identical(fromHex('Infinity'), INF)
        self.identical(fromHex('+INFINITY'), INF)
        self.identical(fromHex('-infinity'), -INF)
        self.identical(fromHex('-iNFiNitY'), -INF)

# nans with optional sign; case insensitive
        self.identical(fromHex('nan'), NAN)
        self.identical(fromHex('+NaN'), NAN)
        self.identical(fromHex('-NaN'), NAN)
        self.identical(fromHex('-nAN'), NAN)

# variations in input format
        self.identical(fromHex('1'), 1.0)
        self.identical(fromHex('+1'), 1.0)
        self.identical(fromHex('1.'), 1.0)
        self.identical(fromHex('1.0'), 1.0)
        self.identical(fromHex('1.0p0'), 1.0)
        self.identical(fromHex('01'), 1.0)
        self.identical(fromHex('01.'), 1.0)
        self.identical(fromHex('0x1'), 1.0)
        self.identical(fromHex('0x1.'), 1.0)
        self.identical(fromHex('0x1.0'), 1.0)
        self.identical(fromHex('+0x1.0'), 1.0)
        self.identical(fromHex('0x1p0'), 1.0)
        self.identical(fromHex('0X1p0'), 1.0)
        self.identical(fromHex('0X1P0'), 1.0)
        self.identical(fromHex('0x1P0'), 1.0)
        self.identical(fromHex('0x1.p0'), 1.0)
        self.identical(fromHex('0x1.0p0'), 1.0)
        self.identical(fromHex('0x.1p4'), 1.0)
        self.identical(fromHex('0x.1p04'), 1.0)
        self.identical(fromHex('0x.1p004'), 1.0)
        self.identical(fromHex('0x1p+0'), 1.0)
        self.identical(fromHex('0x1P-0'), 1.0)
        self.identical(fromHex('+0x1p0'), 1.0)
        self.identical(fromHex('0x01p0'), 1.0)
        self.identical(fromHex('0x1p00'), 1.0)
        self.identical(fromHex(' 0x1p0 '), 1.0)
        self.identical(fromHex('\n 0x1p0'), 1.0)
        self.identical(fromHex('0x1p0 \t'), 1.0)
        self.identical(fromHex('0xap0'), 10.0)
        self.identical(fromHex('0xAp0'), 10.0)
        self.identical(fromHex('0xaP0'), 10.0)
        self.identical(fromHex('0xAP0'), 10.0)
        self.identical(fromHex('0xbep0'), 190.0)
        self.identical(fromHex('0xBep0'), 190.0)
        self.identical(fromHex('0xbEp0'), 190.0)
        self.identical(fromHex('0XBE0P-4'), 190.0)
        self.identical(fromHex('0xBEp0'), 190.0)
        self.identical(fromHex('0xB.Ep4'), 190.0)
        self.identical(fromHex('0x.BEp8'), 190.0)
        self.identical(fromHex('0x.0BEp12'), 190.0)

# moving the point around
        pi = fromHex('0x1.921fb54442d18p1')
        self.identical(fromHex('0x.006487ed5110b46p11'), pi)
        self.identical(fromHex('0x.00c90fdaa22168cp10'), pi)
        self.identical(fromHex('0x.01921fb54442d18p9'), pi)
        self.identical(fromHex('0x.03243f6a8885a3p8'), pi)
        self.identical(fromHex('0x.06487ed5110b46p7'), pi)
        self.identical(fromHex('0x.0c90fdaa22168cp6'), pi)
        self.identical(fromHex('0x.1921fb54442d18p5'), pi)
        self.identical(fromHex('0x.3243f6a8885a3p4'), pi)
        self.identical(fromHex('0x.6487ed5110b46p3'), pi)
        self.identical(fromHex('0x.c90fdaa22168cp2'), pi)
        self.identical(fromHex('0x1.921fb54442d18p1'), pi)
        self.identical(fromHex('0x3.243f6a8885a3p0'), pi)
        self.identical(fromHex('0x6.487ed5110b46p-1'), pi)
        self.identical(fromHex('0xc.90fdaa22168cp-2'), pi)
        self.identical(fromHex('0x19.21fb54442d18p-3'), pi)
        self.identical(fromHex('0x32.43f6a8885a3p-4'), pi)
        self.identical(fromHex('0x64.87ed5110b46p-5'), pi)
        self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi)
        self.identical(fromHex('0x192.1fb54442d18p-7'), pi)
        self.identical(fromHex('0x324.3f6a8885a3p-8'), pi)
        self.identical(fromHex('0x648.7ed5110b46p-9'), pi)
        self.identical(fromHex('0xc90.fdaa22168cp-10'), pi)
        self.identical(fromHex('0x1921.fb54442d18p-11'), pi)
        # ...
        self.identical(fromHex('0x1921fb54442d1.8p-47'), pi)
        self.identical(fromHex('0x3243f6a8885a3p-48'), pi)
        self.identical(fromHex('0x6487ed5110b46p-49'), pi)
        self.identical(fromHex('0xc90fdaa22168cp-50'), pi)
        self.identical(fromHex('0x1921fb54442d18p-51'), pi)
        self.identical(fromHex('0x3243f6a8885a30p-52'), pi)
        self.identical(fromHex('0x6487ed5110b460p-53'), pi)
        self.identical(fromHex('0xc90fdaa22168c0p-54'), pi)
        self.identical(fromHex('0x1921fb54442d180p-55'), pi)

# results that should overflow...
        self.assertRaises(OverflowError, fromHex, '-0x1p1024')
        self.assertRaises(OverflowError, fromHex, '0x1p+1025')
        self.assertRaises(OverflowError, fromHex, '+0X1p1030')
        self.assertRaises(OverflowError, fromHex, '-0x1p+1100')
        self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789')
        self.assertRaises(OverflowError, fromHex, '+0X.8p+1025')
        self.assertRaises(OverflowError, fromHex, '+0x0.8p1025')
        self.assertRaises(OverflowError, fromHex, '-0x0.4p1026')
        self.assertRaises(OverflowError, fromHex, '0X2p+1023')
        self.assertRaises(OverflowError, fromHex, '0x2.p1023')
        self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023')
        self.assertRaises(OverflowError, fromHex, '+0X4p+1022')
        self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023')
        self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023')
        self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023')
        self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022')
        self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970')
        self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960')
        self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960')

# ...and those that round to +-max float
        self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX)
        self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX)
        self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX)

# zeros
        self.identical(fromHex('0x0p0'), 0.0)
        self.identical(fromHex('0x0p1000'), 0.0)
        self.identical(fromHex('-0x0p1023'), -0.0)
        self.identical(fromHex('0X0p1024'), 0.0)
        self.identical(fromHex('-0x0p1025'), -0.0)
        self.identical(fromHex('0X0p2000'), 0.0)
        self.identical(fromHex('0x0p123456789123456789'), 0.0)
        self.identical(fromHex('-0X0p-0'), -0.0)
        self.identical(fromHex('-0X0p-1000'), -0.0)
        self.identical(fromHex('0x0p-1023'), 0.0)
        self.identical(fromHex('-0X0p-1024'), -0.0)
        self.identical(fromHex('-0x0p-1025'), -0.0)
        self.identical(fromHex('-0x0p-1072'), -0.0)
        self.identical(fromHex('0X0p-1073'), 0.0)
        self.identical(fromHex('-0x0p-1074'), -0.0)
        self.identical(fromHex('0x0p-1075'), 0.0)
        self.identical(fromHex('0X0p-1076'), 0.0)
        self.identical(fromHex('-0X0p-2000'), -0.0)
        self.identical(fromHex('-0x0p-123456789123456789'), -0.0)

# values that should underflow to 0
        self.identical(fromHex('0X1p-1075'), 0.0)
        self.identical(fromHex('-0X1p-1075'), -0.0)
        self.identical(fromHex('-0x1p-123456789123456789'), -0.0)
        self.identical(fromHex('0x1.00000000000000001p-1075'), TINY)
        self.identical(fromHex('-0x1.1p-1075'), -TINY)
        self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY)

# check round-half-even is working correctly near 0 ...
        self.identical(fromHex('0x1p-1076'), 0.0)
        self.identical(fromHex('0X2p-1076'), 0.0)
        self.identical(fromHex('0X3p-1076'), TINY)
        self.identical(fromHex('0x4p-1076'), TINY)
        self.identical(fromHex('0X5p-1076'), TINY)
        self.identical(fromHex('0X6p-1076'), 2*TINY)
        self.identical(fromHex('0x7p-1076'), 2*TINY)
        self.identical(fromHex('0X8p-1076'), 2*TINY)
        self.identical(fromHex('0X9p-1076'), 2*TINY)
        self.identical(fromHex('0xap-1076'), 2*TINY)
        self.identical(fromHex('0Xbp-1076'), 3*TINY)
        self.identical(fromHex('0xcp-1076'), 3*TINY)
        self.identical(fromHex('0Xdp-1076'), 3*TINY)
        self.identical(fromHex('0Xep-1076'), 4*TINY)
        self.identical(fromHex('0xfp-1076'), 4*TINY)
        self.identical(fromHex('0x10p-1076'), 4*TINY)
        self.identical(fromHex('-0x1p-1076'), -0.0)
        self.identical(fromHex('-0X2p-1076'), -0.0)
        self.identical(fromHex('-0x3p-1076'), -TINY)
        self.identical(fromHex('-0X4p-1076'), -TINY)
        self.identical(fromHex('-0x5p-1076'), -TINY)
        self.identical(fromHex('-0x6p-1076'), -2*TINY)
        self.identical(fromHex('-0X7p-1076'), -2*TINY)
        self.identical(fromHex('-0X8p-1076'), -2*TINY)
        self.identical(fromHex('-0X9p-1076'), -2*TINY)
        self.identical(fromHex('-0Xap-1076'), -2*TINY)
        self.identical(fromHex('-0xbp-1076'), -3*TINY)
        self.identical(fromHex('-0xcp-1076'), -3*TINY)
        self.identical(fromHex('-0Xdp-1076'), -3*TINY)
        self.identical(fromHex('-0xep-1076'), -4*TINY)
        self.identical(fromHex('-0Xfp-1076'), -4*TINY)
        self.identical(fromHex('-0X10p-1076'), -4*TINY)

# ... and near MIN ...
        self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY)
        self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY)
        self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY)
        self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY)
        self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY)
        self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY)
        self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY)
        self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY)
        self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY)
        self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN)
        self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN)
        self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN)
        self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN)
        self.identical(fromHex('0x1.00000000000000p-1022'), MIN)
        self.identical(fromHex('0x1.00000000000002p-1022'), MIN)
        self.identical(fromHex('0x1.00000000000004p-1022'), MIN)
        self.identical(fromHex('0x1.00000000000006p-1022'), MIN)
        self.identical(fromHex('0x1.00000000000008p-1022'), MIN)
        self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY)
        self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY)
        self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY)
        self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY)
        self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY)
        self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY)
        self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY)
        self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY)

# ... and near 1.0.
        self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS)
        self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS)
        self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS)
        self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS)
        self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS)
        self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2)
        self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2)
        self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2)
        self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2)
        self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2)
        self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2)
        self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2)
        self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0)
        self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0)
        self.identical(fromHex('0X0.fffffffffffffep0'), 1.0)
        self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0)
        self.identical(fromHex('0X1.00000000000000p0'), 1.0)
        self.identical(fromHex('0X1.00000000000001p0'), 1.0)
        self.identical(fromHex('0x1.00000000000002p0'), 1.0)
        self.identical(fromHex('0X1.00000000000003p0'), 1.0)
        self.identical(fromHex('0x1.00000000000004p0'), 1.0)
        self.identical(fromHex('0X1.00000000000005p0'), 1.0)
        self.identical(fromHex('0X1.00000000000006p0'), 1.0)
        self.identical(fromHex('0X1.00000000000007p0'), 1.0)
        self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'),
                       1.0)
        self.identical(fromHex('0x1.00000000000008p0'), 1.0)
        self.identical(fromHex('0x1.00000000000008000000000000000001p0'),
                       1+EPS)
        self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS)
        self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS)
        self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS)
        self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS)
        self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS)
        self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS)
        self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS)
        self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS)
        self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS)
        self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS)
        self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS)
        self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS)
        self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS)
        self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS)
        self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS)
        self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'),
                       1.0+EPS)
        self.identical(fromHex('0x1.00000000000018p0'), 1.0+2*EPS)
        self.identical(fromHex('0X1.00000000000018000000000000000001p0'),
                       1.0+2*EPS)
        self.identical(fromHex('0x1.00000000000019p0'), 1.0+2*EPS)
        self.identical(fromHex('0X1.0000000000001ap0'), 1.0+2*EPS)
        self.identical(fromHex('0X1.0000000000001bp0'), 1.0+2*EPS)
        self.identical(fromHex('0x1.0000000000001cp0'), 1.0+2*EPS)
        self.identical(fromHex('0x1.0000000000001dp0'), 1.0+2*EPS)
        self.identical(fromHex('0x1.0000000000001ep0'), 1.0+2*EPS)
        self.identical(fromHex('0X1.0000000000001fp0'), 1.0+2*EPS)
        self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS)

# Regression test for a corner-case bug reported in b.p.o. 44954
        self.identical(fromHex('0x.8p-1074'), 0.0)
        self.identical(fromHex('0x.80p-1074'), 0.0)
        self.identical(fromHex('0x.81p-1074'), TINY)
        self.identical(fromHex('0x8p-1078'), 0.0)
        self.identical(fromHex('0x8.0p-1078'), 0.0)
        self.identical(fromHex('0x8.1p-1078'), TINY)
        self.identical(fromHex('0x80p-1082'), 0.0)
        self.identical(fromHex('0x81p-1082'), TINY)
        self.identical(fromHex('.8p-1074'), 0.0)
        self.identical(fromHex('8p-1078'), 0.0)
        self.identical(fromHex('-.8p-1074'), -0.0)
        self.identical(fromHex('+8p-1078'), 0.0)

def test_roundtrip(self):
        def roundtrip(x):
            return fromHex(toHex(x))

for x in [NAN, INF, self.MAX, self.MIN, self.MIN-self.TINY, self.TINY, 0.0]:
            self.identical(x, roundtrip(x))
            self.identical(-x, roundtrip(-x))

# fromHex(toHex(x)) should exactly recover x, for any non-NaN float x.
        import random
        for i in range(10000):
            e = random.randrange(-1200, 1200)
            m = random.random()
            s = random.choice([1.0, -1.0])
            try:
                x = s*ldexp(m, e)
            except OverflowError:
                pass
            else:
                self.identical(x, fromHex(toHex(x)))

def test_subclass(self):
        class F(float):
            def __new__(cls, value):
                return float.__new__(cls, value + 1)

f = F.fromhex((1.5).hex())
        self.assertIs(type(f), F)
        self.assertEqual(f, 2.5)

class F2(float):
            def __init__(self, value):
                self.foo = 'bar'

f = F2.fromhex((1.5).hex())
        self.assertIs(type(f), F2)
        self.assertEqual(f, 1.5)
        self.assertEqual(getattr(f, 'foo', 'none'), 'bar')

if __name__ == '__main__':
    unittest.main()

${this.title}

Code Editor : test_float.py