
from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403


def 				SCREAMING_SNAKE_CASE_   (      UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__ = "x"			,		UpperCamelCase__ = 1_0**-1_0			,		UpperCamelCase__ = 1			,		):
      UpperCamelCase__     : Optional[int]											=					symbols(UpperCamelCase__		)
      UpperCamelCase__     : List[str]											=					lambdify(UpperCamelCase__			,		UpperCamelCase__		)
      UpperCamelCase__     : Tuple											=					lambdify(UpperCamelCase__			,		diff(UpperCamelCase__			,		UpperCamelCase__		)		)

      UpperCamelCase__     : Dict											=					starting_point

      while True:
            if diff_function(UpperCamelCase__		) != 0:
                  UpperCamelCase__     : Optional[int]											=					prev_guess - multiplicity * func(UpperCamelCase__		) / diff_function(
                      UpperCamelCase__		)
            else:
                  raise ZeroDivisionError('''Could not find root'''		) from None

            # Precision is checked by comparing the difference of consecutive guesses
            if abs(next_guess - prev_guess		) < precision:
                  return next_guess

            UpperCamelCase__     : int											=					next_guess


# Let's Execute
if __name__ == "__main__":
    # Find root of trigonometric function
    # Find value of pi
    print(F'''The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}''')

    # Find root of polynomial
    # Find fourth Root of 5
    print(F'''The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5j)}''')

    # Find value of e
    print(
        "The root of log(y) - 1 = 0 is ",
        F'''{newton_raphson("log(y) - 1", 2, variable="y")}''',
    )

    # Exponential Roots
    print(
        "The root of exp(x) - 1 = 0 is",
        F'''{newton_raphson("exp(x) - 1", 1_0, precision=0.005)}''',
    )

    # Find root of cos(x)
    print(F'''The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}''')




# limitations under the License.

# NOTE: This file is deprecated and will be removed in a future version.
# It only exists so that temporarely `from diffusers.pipelines import DiffusionPipeline` works

from .pipelines import DiffusionPipeline, ImagePipelineOutput  # noqa: F401
from .utils import deprecate


deprecate(
    "pipelines_utils",
    "0.22.0",
    "Importing `DiffusionPipeline` or `ImagePipelineOutput` from diffusers.pipeline_utils is deprecated. Please import from diffusers.pipelines.pipeline_utils instead.",
    standard_warn=False,
    stacklevel=3,
)


