Int too large to convert to float питон ошибка

Factorials get large real fast:

>>> math.factorial(170)
7257415615307998967396728211129263114716991681296451376543577798900561843401706157852350749242617459511490991237838520776666022565442753025328900773207510902400430280058295603966612599658257104398558294257568966313439612262571094946806711205568880457193340212661452800000000000000000000000000000000000000000L

Note the L; the factorial of 170 is still convertable to a float:

>>> float(math.factorial(170))
7.257415615307999e+306

but the next factorial is too large:

>>> float(math.factorial(171))
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
OverflowError: long int too large to convert to float

You could use the decimal module; calculations will be slower, but the Decimal() class can handle factorials this size:

>>> from decimal import Decimal
>>> Decimal(math.factorial(171))
Decimal('1241018070217667823424840524103103992616605577501693185388951803611996075221691752992751978120487585576464959501670387052809889858690710767331242032218484364310473577889968548278290754541561964852153468318044293239598173696899657235903947616152278558180061176365108428800000000000000000000000000000000000000000')

You’ll have to use Decimal() values throughout:

from decimal import *

with localcontext() as ctx:
    ctx.prec = 32  # desired precision
    p = ctx.power(3, idx)
    depart = ctx.exp(-3) * p 
    depart /= math.factorial(idx)

 Exception in thread Thread-1:
 Traceback (most recent call last):
   File "c:python38libthreading.py", line 932, in _bootstrap_inner
     self.run()
   File "c:python38libthreading.py", line 870, in run
     self._target(*self._args, **self._kwargs)
   File "C:UsersDellOneDriveDesktopNew Foldermailersend_mail.py", line 42, in <lambda>
     target=lambda: self.make_mail_objects(spreadsheet_path)
   File "C:UsersDellOneDriveDesktopNew Foldermailersend_mail.py", line 66, in make_mail_objects
     self.mail_queue.put(self.get_mail_object_from_row(row))
   File "C:UsersDellOneDriveDesktopNew Foldermailersend_mail.py", line 115, in get_mail_object_from_row
     msg.add_message(
   File "C:UsersDellOneDriveDesktopNew Foldermailerprepare_message.py", line 156, in add_message
     template.render(context)
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesdocxtpl__init__.py", line 310, in render
     xml_src = self.build_xml(context, jinja_env)
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesdocxtpl__init__.py", line 269, in build_xml
     xml = self.render_xml(xml, context, jinja_env)
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesdocxtpl__init__.py", line 218, in render_xml
     dst_xml = template.render(context)
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesjinja2environment.py", line 1090, in render
     self.environment.handle_exception()
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesjinja2environment.py", line 832, in handle_exception
     reraise(*rewrite_traceback_stack(source=source))
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesjinja2_compat.py", line 28, in reraise
     raise value.with_traceback(tb)
   File "<template>", line 1, in top-level template code
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesdocxtpl__init__.py", line 821, in __str__
     return self._insert_image()
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesdocxtpl__init__.py", line 809, in _insert_image
     pic = self.tpl.docx._part.new_pic_inline(
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesdocxpartsstory.py", line 57, in new_pic_inline
     cx, cy = image.scaled_dimensions(width, height)
   File "C:UsersDellOneDriveDesktopNew foldervenvlibsite-packagesdocximageimage.py", line 158, in scaled_dimensions
     scaling_factor = float(width) / float(self.width)
 OverflowError: int too large to convert to float

Image:

width:

Mm(5)

Факториалы становятся большими реальными:

>>> math.factorial(170)
7257415615307998967396728211129263114716991681296451376543577798900561843401706157852350749242617459511490991237838520776666022565442753025328900773207510902400430280058295603966612599658257104398558294257568966313439612262571094946806711205568880457193340212661452800000000000000000000000000000000000000000L

Обратите внимание на L; факториал 170 по-прежнему можно преобразовать в float:

>>> float(math.factorial(170))
7.257415615307999e+306

но следующий факториал слишком велик:

>>> float(math.factorial(171))
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
OverflowError: long int too large to convert to float

Вы можете использовать модуль decimal; вычисления будут медленнее, но класс Decimal() может обрабатывать факториалы такого размера:

>>> from decimal import Decimal
>>> Decimal(math.factorial(171))
Decimal('1241018070217667823424840524103103992616605577501693185388951803611996075221691752992751978120487585576464959501670387052809889858690710767331242032218484364310473577889968548278290754541561964852153468318044293239598173696899657235903947616152278558180061176365108428800000000000000000000000000000000000000000')

Вам нужно использовать значения Decimal():

from decimal import *

with localcontext() as ctx:
    ctx.prec = 32  # desired precision
    p = ctx.power(3, idx)
    depart = ctx.exp(-3) * p 
    depart /= math.factorial(idx)

Python float() function is used to return a floating-point number from a number or a string representation of a numeric value.

Python float() Function syntax

Syntax:  float(x)

Parameter x: x is optional & can be:

• any number or number in form of string, ex,: “10.5”
• inf or infinity, NaN (any cases)

Return: Float Value

Python float() Function example

Output:

10.0

Values that the Python float() method can return depending upon the argument passed

• If an argument is passed, then the equivalent floating-point number is returned.
• If no argument is passed then the method returns 0.0.
• If any string is passed that is not a decimal point number or does not match any cases mentioned above then an error will be raised.
• If a number is passed outside the range of Python float then OverflowError is generated.

Python float() example

Example 1: How Python float() works

Output: 

21.89
8.0
23.0
-16.54
-24.45
inf
inf
nan
nan

All lines are executed properly but the last one will return an error: 

Traceback (most recent call last):
  File "/home/21499f1e9ca207f0052f13d64cb6be31.py", line 25, in 
    print(float("Geeks"))
ValueError: could not convert string to float: 'Geeks'

Example 2: float() for infinity and Nan

Output:

inf
inf
nan
nan

Example 3: Converting an Integer to a Float in Python

Output:

90.0

Example 4: Converting a String to a Float in Python

Output:

90.0

Example 5: Python float() exception

float() will raise ValueError if passed parameter is not a numeric value.

Output:

could not convert string to float: 'geeks'

Example 6: Python float() OverflowError

float() will raise OverflowError if passed parameter is too large (ex.: 10**309)

Output:

Traceback (most recent call last):
  File "/home/1eb6a2abffa536ccb1cae660db04a162.py", line 1, in <module>
    print(float(10**309))
OverflowError: int too large to convert to float