
"""simple docstring"""


from math import cos, sin






def        lowerCAmelCase_       (		snake_case_		:      float      )       ->list[list[float]]:
			lowerCamelCase__     :					List[Any]		=float(snake_case_      )
			return [[scaling_factor * int(x == y      ) for x in range(2      )] for y in range(2      )]






def        lowerCAmelCase_       (		snake_case_		:      float      )       ->list[list[float]]:
			lowerCamelCase__     :					Union[str, Any]		=cos(snake_case_      ), sin(snake_case_      )
			return [[c, -s], [s, c]]






def        lowerCAmelCase_       (		snake_case_		:      float      )       ->list[list[float]]:
			lowerCamelCase__     :					Optional[Any]		=cos(snake_case_      ), sin(snake_case_      )
			lowerCamelCase__     :					Dict		=c * s
			return [[c * c, cs], [cs, s * s]]






def        lowerCAmelCase_       (		snake_case_		:      float      )       ->list[list[float]]:
			lowerCamelCase__     :					str		=cos(snake_case_      ), sin(snake_case_      )
			lowerCamelCase__     :					Dict		=c * s
			return [[2 * c - 1, 2 * cs], [2 * cs, 2 * s - 1]]


print(f"""    {scaling(5) = }""")
print(f"""  {rotation(45) = }""")
print(f"""{projection(45) = }""")

print(f"""{reflection(45) = }""")

"""simple docstring"""


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowerCAmelCase								=						{
    """configuration_decision_transformer""": [
        """DECISION_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """DecisionTransformerConfig""",
    ],
}

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							lowerCAmelCase								=						[
							    """DECISION_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
							    """DecisionTransformerGPT2Model""",
							    """DecisionTransformerGPT2PreTrainedModel""",
							    """DecisionTransformerModel""",
							    """DecisionTransformerPreTrainedModel""",
							]


if TYPE_CHECKING:
							from .configuration_decision_transformer import (
							    DECISION_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
							    DecisionTransformerConfig,
							)

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_decision_transformer import (
														    DECISION_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
														    DecisionTransformerGPTaModel,
														    DecisionTransformerGPTaPreTrainedModel,
														    DecisionTransformerModel,
														    DecisionTransformerPreTrainedModel,
														)


else:
							import sys

							lowerCAmelCase								=						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)