



'''simple docstring'''







from __future__ import annotations

from pathlib import Path





def 						snake_case__ (lowerCAmelCase_					,  lowerCAmelCase_	):
    return pointa[0] * pointa[1] - pointa[1] * pointa[0]





def 						snake_case__ (lowerCAmelCase_					,  lowerCAmelCase_					,  lowerCAmelCase_					,  lowerCAmelCase_					,  lowerCAmelCase_					,  lowerCAmelCase_	):
    UpperCamelCase__      =			(xa, ya)
    UpperCamelCase__      =			(xa - xa, ya - ya)
    UpperCamelCase__      =			(xa - xa, ya - ya)
    UpperCamelCase__      =			-vector_product(lowerCAmelCase_					,  lowerCAmelCase_	) / vector_product(
        lowerCAmelCase_					,  lowerCAmelCase_	)
    UpperCamelCase__      =			+vector_product(lowerCAmelCase_					,  lowerCAmelCase_	) / vector_product(
        lowerCAmelCase_					,  lowerCAmelCase_	)

    return a > 0 and b > 0 and a + b < 1





def 						snake_case__ (lowerCAmelCase_ = "p102_triangles.txt"	):
    UpperCamelCase__      =			Path(lowerCAmelCase_	).parent.joinpath(lowerCAmelCase_	).read_text(encoding="utf-8"	)

    UpperCamelCase__      =			[]
    for line in data.strip().split("\n"	):
        triangles.append([int(lowerCAmelCase_	) for number in line.split(","	)]	)

    UpperCamelCase__      =			0
    UpperCamelCase__      =			42

    for triangle in triangles:
        ret += contains_origin(*lowerCAmelCase_	)

    return ret


if __name__ == "__main__":
      print(F'''{solution() = }''')









'''simple docstring'''







import unittest

from transformers import load_tool
from transformers.tools.agent_types import AGENT_TYPE_MAPPING

from .test_tools_common import ToolTesterMixin, output_types

class       lowerCamelCase_							(	unittest.TestCase					,    lowerCAmelCase_  ):






   '''simple docstring'''

   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			load_tool("translation" )
       self.tool.setup()
       UpperCamelCase__      =			load_tool("translation"     ,						remote=__UpperCamelCase )


   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			self.tool("Hey, what's up?"     ,						src_lang="English"     ,						tgt_lang="French" )
       self.assertEqual(__UpperCamelCase     ,						"- Hé, comment ça va?" )


   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			self.remote_tool("Hey, what's up?"     ,						src_lang="English"     ,						tgt_lang="French" )
       self.assertEqual(__UpperCamelCase     ,						"- Hé, comment ça va?" )


   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			self.tool(text="Hey, what's up?"     ,						src_lang="English"     ,						tgt_lang="French" )
       self.assertEqual(__UpperCamelCase     ,						"- Hé, comment ça va?" )


   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			self.remote_tool(text="Hey, what's up?"     ,						src_lang="English"     ,						tgt_lang="French" )
       self.assertEqual(__UpperCamelCase     ,						"- Hé, comment ça va?" )


   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			["Hey, what's up?", "English", "Spanish"]
       UpperCamelCase__      =			self.tool(*__UpperCamelCase )

       # There is a single output
       if len(self.tool.outputs ) == 1:
           UpperCamelCase__      =			[outputs]

       self.assertListEqual(output_types(__UpperCamelCase )     ,						self.tool.outputs )


   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			["Hey, what's up?", "English", "Spanish"]
       UpperCamelCase__      =			self.tool(*__UpperCamelCase )

       if not isinstance(__UpperCamelCase     ,						__UpperCamelCase ):
           UpperCamelCase__      =			[outputs]

       self.assertEqual(len(__UpperCamelCase )     ,						len(self.tool.outputs ) )

       for output, output_type in zip(__UpperCamelCase     ,						self.tool.outputs ):
           UpperCamelCase__      =			AGENT_TYPE_MAPPING[output_type]
           self.assertTrue(isinstance(__UpperCamelCase     ,						__UpperCamelCase ) )







   def 	_UpperCamelCase       (  self ):
       UpperCamelCase__      =			["Hey, what's up?", "English", "Spanish"]

       UpperCamelCase__      =			[]

       for _input, input_type in zip(__UpperCamelCase     ,						self.tool.inputs ):
           if isinstance(__UpperCamelCase     ,						__UpperCamelCase ):
               _inputs.append([AGENT_TYPE_MAPPING[_input_type](_input ) for _input_type in input_type] )
           else:
               _inputs.append(AGENT_TYPE_MAPPING[input_type](_input ) )

        # Should not raise an error
       UpperCamelCase__      =			self.tool(*__UpperCamelCase )

       if not isinstance(__UpperCamelCase     ,						__UpperCamelCase ):
           UpperCamelCase__      =			[outputs]

       self.assertEqual(len(__UpperCamelCase )     ,						len(self.tool.outputs ) )




