





import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)
class 				a_       (    unittest.TestCase							):





     def 							lowercase__				(			self		: List[Any]						):





        """simple docstring"""




        lowercase_      :Dict         =			Vector([1, 2, 3]						)
        self.assertEqual(x.component(0						)     ,				1						)
        self.assertEqual(x.component(2						)     ,				3						)
        lowercase_      :int         =			Vector()





     def 							lowercase__				(			self		: List[Any]						):





        """simple docstring"""




        lowercase_      :Any         =			Vector([0, 0, 0, 0, 0, 1]						)
        self.assertEqual(str(lowercase						)     ,				"(0,0,0,0,0,1)"						)





     def 							lowercase__				(			self		: Optional[int]						):





        """simple docstring"""




        lowercase_      :Optional[Any]         =			Vector([1, 2, 3, 4]						)
        self.assertEqual(len(lowercase						)     ,				4						)





     def 							lowercase__				(			self		: str						):





        """simple docstring"""




        lowercase_      :Optional[Any]         =			Vector([1, 2]						)
        lowercase_      :Optional[int]         =			Vector([1, 2, 3, 4, 5]						)
        lowercase_      :List[Any]         =			Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]						)
        lowercase_      :List[Any]         =			Vector([1, -1, 1, -1, 2, -3, 4, -5]						)
        self.assertAlmostEqual(x.euclidean_length()     ,				2.2_36     ,				3						)
        self.assertAlmostEqual(y.euclidean_length()     ,				7.4_16     ,				3						)
        self.assertEqual(z.euclidean_length()     ,				0						)
        self.assertAlmostEqual(w.euclidean_length()     ,				7.6_16     ,				3						)





     def 							lowercase__				(			self		: Dict						):





        """simple docstring"""




        lowercase_      :int         =			Vector([1, 2, 3]						)
        lowercase_      :List[Any]         =			Vector([1, 1, 1]						)
        self.assertEqual((x + y).component(0						)     ,				2						)
        self.assertEqual((x + y).component(1						)     ,				3						)
        self.assertEqual((x + y).component(2						)     ,				4						)





     def 							lowercase__				(			self		: Tuple						):





        """simple docstring"""




        lowercase_      :List[Any]         =			Vector([1, 2, 3]						)
        lowercase_      :Any         =			Vector([1, 1, 1]						)
        self.assertEqual((x - y).component(0						)     ,				0						)
        self.assertEqual((x - y).component(1						)     ,				1						)
        self.assertEqual((x - y).component(2						)     ,				2						)





     def 							lowercase__				(			self		: Dict						):





        """simple docstring"""




        lowercase_      :Optional[Any]         =			Vector([1, 2, 3]						)
        lowercase_      :str         =			Vector([2, -1, 4]						)  # for test of dot product
        lowercase_      :Union[str, Any]         =			Vector([1, -2, -1]						)
        self.assertEqual(str(x * 3.0						)     ,				"(3.0,6.0,9.0)"						)
        self.assertEqual((a * b)     ,				0						)





     def 							lowercase__				(			self		: List[str]						):





        """simple docstring"""




        self.assertEqual(str(zero_vector(10						)						).count("0"						)     ,				10						)





     def 							lowercase__				(			self		: Any						):





        """simple docstring"""




        self.assertEqual(str(unit_basis_vector(3     ,				1						)						)     ,				"(0,1,0)"						)





     def 							lowercase__				(			self		: Tuple						):





        """simple docstring"""




        lowercase_      :Union[str, Any]         =			Vector([1, 2, 3]						)
        lowercase_      :Optional[int]         =			Vector([1, 0, 1]						)
        self.assertEqual(str(axpy(2     ,				lowercase     ,				lowercase						)						)     ,				"(3,4,7)"						)





     def 							lowercase__				(			self		: Optional[int]						):





        """simple docstring"""




        lowercase_      :Dict         =			Vector([1, 0, 0, 0, 0, 0]						)
        lowercase_      :List[Any]         =			x.copy()
        self.assertEqual(str(lowercase						)     ,				str(lowercase						)						)





     def 							lowercase__				(			self		: int						):





        """simple docstring"""




        lowercase_      :Any         =			Vector([1, 0, 0]						)
        x.change_component(0     ,				0						)
        x.change_component(1     ,				1						)
        self.assertEqual(str(lowercase						)     ,				"(0,1,0)"						)





     def 							lowercase__				(			self		: int						):





        """simple docstring"""




        lowercase_      :List[Any]         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        self.assertEqual("|1,2,3|\n|2,4,5|\n|6,7,8|\n"     ,				str(lowercase						)						)





     def 							lowercase__				(			self		: Union[str, Any]						):





        """simple docstring"""




        lowercase_      :Optional[Any]         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        lowercase_      :Union[str, Any]         =			[[-3, -14, -10], [-5, -10, -5], [-2, -1, 0]]
        for x in range(a.height()						):
           for y in range(a.width()						):
              self.assertEqual(minors[x][y]     ,				a.minor(lowercase     ,				lowercase						)						)





     def 							lowercase__				(			self		: int						):





        """simple docstring"""




        lowercase_      :str         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        lowercase_      :Tuple         =			[[-3, 14, -10], [5, -10, 5], [-2, 1, 0]]
        for x in range(a.height()						):
           for y in range(a.width()						):
              self.assertEqual(cofactors[x][y]     ,				a.cofactor(lowercase     ,				lowercase						)						)





     def 							lowercase__				(			self		: Dict						):





        """simple docstring"""




        lowercase_      :int         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        self.assertEqual(-5     ,				a.determinant()						)





     def 							lowercase__				(			self		: Tuple						):





        """simple docstring"""




        lowercase_      :str         =			Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]     ,				3     ,				3						)
        lowercase_      :Optional[Any]         =			Vector([1, 2, 3]						)
        self.assertEqual("(14,32,50)"     ,				str(a * x						)						)
        self.assertEqual("|2,4,6|\n|8,10,12|\n|14,16,18|\n"     ,				str(a * 2						)						)





     def 							lowercase__				(			self		: Union[str, Any]						):





        """simple docstring"""




        lowercase_      :Tuple         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        a.change_component(0     ,				2     ,				5						)
        self.assertEqual("|1,2,5|\n|2,4,5|\n|6,7,8|\n"     ,				str(lowercase						)						)





     def 							lowercase__				(			self		: Dict						):





        """simple docstring"""




        lowercase_      :Union[str, Any]         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        self.assertEqual(7     ,				a.component(2     ,				1						)     ,				0.01						)





     def 							lowercase__				(			self		: Optional[int]						):





        """simple docstring"""




        lowercase_      :Any         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        lowercase_      :Union[str, Any]         =			Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]     ,				3     ,				3						)
        self.assertEqual("|2,4,10|\n|4,8,10|\n|12,14,18|\n"     ,				str(a + b						)						)





     def 							lowercase__				(			self		: str						):





        """simple docstring"""




        lowercase_      :Optional[int]         =			Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]     ,				3     ,				3						)
        lowercase_      :str         =			Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]     ,				3     ,				3						)
        self.assertEqual("|0,0,-4|\n|0,0,0|\n|0,0,-2|\n"     ,				str(a - b						)						)







     def 							lowercase__				(			self		: Tuple						):





        """simple docstring"""




        self.assertEqual(
            "|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n"     ,				str(square_zero_matrix(5						)						)     ,				)


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









'''simple docstring'''


# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowerCAmelCase :					Dict 							={
    '''configuration_xmod''': [
        '''XMOD_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''XmodConfig''',
        '''XmodOnnxConfig''',
    ],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase :					Union[str, Any] 							=[
     '''XMOD_PRETRAINED_MODEL_ARCHIVE_LIST''',
     '''XmodForCausalLM''',
     '''XmodForMaskedLM''',
     '''XmodForMultipleChoice''',
     '''XmodForQuestionAnswering''',
     '''XmodForSequenceClassification''',
     '''XmodForTokenClassification''',
     '''XmodModel''',
     '''XmodPreTrainedModel''',
 ]

if TYPE_CHECKING:
 from .configuration_xmod import XMOD_PRETRAINED_CONFIG_ARCHIVE_MAP, XmodConfig, XmodOnnxConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_xmod import (
      XMOD_PRETRAINED_MODEL_ARCHIVE_LIST,
      XmodForCausalLM,
      XmodForMaskedLM,
      XmodForMultipleChoice,
      XmodForQuestionAnswering,
      XmodForSequenceClassification,
      XmodForTokenClassification,
      XmodModel,
      XmodPreTrainedModel,
  )

else:
 import sys

 lowerCAmelCase :					Optional[Any] 							=_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)


