






'''simple docstring'''







from math import pi, sqrt, tan
def 						A__			(				__lowerCAmelCase		:			float						):
						if side_length < 0:
												raise ValueError("""surface_area_cube() only accepts non-negative values"""						)
						return 6 * side_length**2
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if length < 0 or breadth < 0 or height < 0:
												raise ValueError("""surface_area_cuboid() only accepts non-negative values"""						)
						return 2 * ((length * breadth) + (breadth * height) + (length * height))
def 						A__			(				__lowerCAmelCase		:			float						):
						if radius < 0:
												raise ValueError("""surface_area_sphere() only accepts non-negative values"""						)
						return 4 * pi * radius**2
def 						A__			(				__lowerCAmelCase		:			float						):
						if radius < 0:
												raise ValueError("""surface_area_hemisphere() only accepts non-negative values"""						)
						return 3 * pi * radius**2
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if radius < 0 or height < 0:
												raise ValueError("""surface_area_cone() only accepts non-negative values"""						)
						return pi * radius * (radius + (height**2 + radius**2) ** 0.5)
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if radius_a < 0 or radius_a < 0 or height < 0:
												raise ValueError(
												    """surface_area_conical_frustum() only accepts non-negative values"""						)
						lowerCamelCase__         =  (height**2 + (radius_a - radius_a) ** 2) ** 0.5
						return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if radius < 0 or height < 0:
												raise ValueError("""surface_area_cylinder() only accepts non-negative values"""						)
						return 2 * pi * radius * (height + radius)
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if torus_radius < 0 or tube_radius < 0:
												raise ValueError("""surface_area_torus() only accepts non-negative values"""						)
						if torus_radius < tube_radius:
												raise ValueError(
												    """surface_area_torus() does not support spindle or self intersecting tori"""						)
						return 4 * pow(__lowerCAmelCase   ,    2						) * torus_radius * tube_radius
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if length < 0 or width < 0:
												raise ValueError("""area_rectangle() only accepts non-negative values"""						)
						return length * width
def 						A__			(				__lowerCAmelCase		:			float						):
						if side_length < 0:
												raise ValueError("""area_square() only accepts non-negative values"""						)
						return side_length**2
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if base < 0 or height < 0:
												raise ValueError("""area_triangle() only accepts non-negative values"""						)
						return (base * height) / 2
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if sidea < 0 or sidea < 0 or sidea < 0:
												raise ValueError("""area_triangle_three_sides() only accepts non-negative values"""						)
						elif sidea + sidea < sidea or sidea + sidea < sidea or sidea + sidea < sidea:
												raise ValueError("""Given three sides do not form a triangle"""						)
						lowerCamelCase__         =  (sidea + sidea + sidea) / 2
						lowerCamelCase__         =  sqrt(
						    semi_perimeter
						    * (semi_perimeter - sidea)
						    * (semi_perimeter - sidea)
						    * (semi_perimeter - sidea)						)
						return area
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if base < 0 or height < 0:
												raise ValueError("""area_parallelogram() only accepts non-negative values"""						)
						return base * height
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if basea < 0 or basea < 0 or height < 0:
												raise ValueError("""area_trapezium() only accepts non-negative values"""						)
						return 1 / 2 * (basea + basea) * height
def 						A__			(				__lowerCAmelCase		:			float						):
						if radius < 0:
												raise ValueError("""area_circle() only accepts non-negative values"""						)
						return pi * radius**2
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if radius_x < 0 or radius_y < 0:
												raise ValueError("""area_ellipse() only accepts non-negative values"""						)
						return pi * radius_x * radius_y
def 						A__			(				__lowerCAmelCase		:			float   ,    __lowerCAmelCase		:			float						):
						if diagonal_a < 0 or diagonal_a < 0:
												raise ValueError("""area_rhombus() only accepts non-negative values"""						)
						return 1 / 2 * diagonal_a * diagonal_a
def 						A__			(				__lowerCAmelCase		:			int   ,    __lowerCAmelCase		:			float						):
						if not isinstance(__lowerCAmelCase   ,    __lowerCAmelCase						) or sides < 3:
												raise ValueError(
												    """area_reg_polygon() only accepts integers greater than or \
equal to three as number of sides"""						)
						elif length < 0:
												raise ValueError(
												    """area_reg_polygon() only accepts non-negative values as \
length of a side"""						)
						return (sides * length**2) / (4 * tan(pi / sides						))
						return (sides * length**2) / (4 * tan(pi / sides						))


if __name__ == "__main__":
	import doctest

	doctest.testmod(verbose=True)  # verbose so we can see methods missing tests

	print('[DEMO] Areas of various geometric shapes: \n')
	print(F'Rectangle: {area_rectangle(10, 20) = }')
	print(F'Square: {area_square(10) = }')
	print(F'Triangle: {area_triangle(10, 10) = }')
	print(F'Triangle: {area_triangle_three_sides(5, 12, 13) = }')
	print(F'Parallelogram: {area_parallelogram(10, 20) = }')
	print(F'Rhombus: {area_rhombus(10, 20) = }')
	print(F'Trapezium: {area_trapezium(10, 20, 30) = }')
	print(F'Circle: {area_circle(20) = }')
	print(F'Ellipse: {area_ellipse(10, 20) = }')
	print('\nSurface Areas of various geometric shapes: \n')
	print(F'Cube: {surface_area_cube(20) = }')
	print(F'Cuboid: {surface_area_cuboid(10, 20, 30) = }')
	print(F'Sphere: {surface_area_sphere(20) = }')
	print(F'Hemisphere: {surface_area_hemisphere(20) = }')
	print(F'Cone: {surface_area_cone(10, 20) = }')
	print(F'Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }')
	print(F'Cylinder: {surface_area_cylinder(10, 20) = }')
	print(F'Torus: {surface_area_torus(20, 10) = }')
	print(F'Equilateral Triangle: {area_reg_polygon(3, 10) = }')
	print(F'Square: {area_reg_polygon(4, 10) = }')
	print(F'Reqular Pentagon: {area_reg_polygon(5, 10) = }')









'''simple docstring'''







import re

import jax.numpy as jnp
from flax.traverse_util import flatten_dict, unflatten_dict
from jax.random import PRNGKey

from ..utils import logging


UpperCamelCase    :      Union[str, Any]  			=		logging.get_logger(__name__)
def 						A__			(				__lowerCAmelCase		:			int						):
						lowerCamelCase__         =  R"""\w+[.]\d+"""
						lowerCamelCase__         =  re.findall(__lowerCAmelCase   ,    __lowerCAmelCase						)
						for pat in pats:
												lowerCamelCase__         =  key.replace(__lowerCAmelCase   ,    """_""".join(pat.split("""."""						)						)						)
						return key
def 						A__			(				__lowerCAmelCase		:			Union[str, Any]   ,    __lowerCAmelCase		:			Union[str, Any]   ,    __lowerCAmelCase		:			Tuple						):
						lowerCamelCase__         =  pt_tuple_key[:-1] + ("""scale""",)
						if (
						    any("""norm""" in str_ for str_ in pt_tuple_key						)
						    and (pt_tuple_key[-1] == "bias")
						    and (pt_tuple_key[:-1] + ("bias",) not in random_flax_state_dict)
						    and (pt_tuple_key[:-1] + ("scale",) in random_flax_state_dict)
						):
												lowerCamelCase__         =  pt_tuple_key[:-1] + ("""scale""",)
												return renamed_pt_tuple_key, pt_tensor
						elif pt_tuple_key[-1] in ["weight", "gamma"] and pt_tuple_key[:-1] + ("scale",) in random_flax_state_dict:
												lowerCamelCase__         =  pt_tuple_key[:-1] + ("""scale""",)
												return renamed_pt_tuple_key, pt_tensor

						# embedding
						if pt_tuple_key[-1] == "weight" and pt_tuple_key[:-1] + ("embedding",) in random_flax_state_dict:
												lowerCamelCase__         =  pt_tuple_key[:-1] + ("""embedding""",)
												return renamed_pt_tuple_key, pt_tensor

						# conv layer
						lowerCamelCase__         =  pt_tuple_key[:-1] + ("""kernel""",)
						if pt_tuple_key[-1] == "weight" and pt_tensor.ndim == 4:
												lowerCamelCase__         =  pt_tensor.transpose(2   ,    3   ,    1   ,    0						)
												return renamed_pt_tuple_key, pt_tensor

						# linear layer
						lowerCamelCase__         =  pt_tuple_key[:-1] + ("""kernel""",)
						if pt_tuple_key[-1] == "weight":
												lowerCamelCase__         =  pt_tensor.T
												return renamed_pt_tuple_key, pt_tensor

						# old PyTorch layer norm weight
						lowerCamelCase__         =  pt_tuple_key[:-1] + ("""weight""",)
						if pt_tuple_key[-1] == "gamma":
												return renamed_pt_tuple_key, pt_tensor

						# old PyTorch layer norm bias
						lowerCamelCase__         =  pt_tuple_key[:-1] + ("""bias""",)
						if pt_tuple_key[-1] == "beta":
												return renamed_pt_tuple_key, pt_tensor

						return pt_tuple_key, pt_tensor





def 						A__			(				__lowerCAmelCase		:			int   ,    __lowerCAmelCase		:			Union[str, Any]   ,    __lowerCAmelCase		:			Tuple=42						):
						# Step 1: Convert pytorch tensor to numpy
						lowerCamelCase__         =  {k: v.numpy() for k, v in pt_state_dict.items()}

						# Step 2: Since the model is stateless, get random Flax params
						lowerCamelCase__         =  flax_model.init_weights(PRNGKey(__lowerCAmelCase						)						)

						lowerCamelCase__         =  flatten_dict(__lowerCAmelCase						)
						lowerCamelCase__         =  {}

						# Need to change some parameters name to match Flax names
						for pt_key, pt_tensor in pt_state_dict.items():
												lowerCamelCase__         =  rename_key(__lowerCAmelCase						)
												lowerCamelCase__         =  tuple(renamed_pt_key.split("""."""						)						)

												# Correctly rename weight parameters
												lowerCamelCase__       ,			lowerCamelCase__         =  rename_key_and_reshape_tensor(__lowerCAmelCase   ,    __lowerCAmelCase   ,    __lowerCAmelCase						)

												if flax_key in random_flax_state_dict:
																		if flax_tensor.shape != random_flax_state_dict[flax_key].shape:
																								raise ValueError(
																								    F'''PyTorch checkpoint seems to be incorrect. Weight {pt_key} was expected to be of shape '''
																								    F'''{random_flax_state_dict[flax_key].shape}, but is {flax_tensor.shape}.'''						)

        # also add unexpected weight so that warning is thrown
												lowerCamelCase__         =  jnp.asarray(__lowerCAmelCase						)

						return unflatten_dict(__lowerCAmelCase						)

