

"""simple docstring"""




from __future__ import annotations

import math

A_							:			List[Any]											= "2020.9.26"
A_							:			Any											= "xcodz-dot, cclaus, dhruvmanila"

def 	A       (     snake_case__		,				snake_case__		,				snake_case__		,				snake_case__		,				snake_case__    ):




			'''simple docstring'''


			if not all(isinstance(snake_case__		,				(float, int)    ) for val in locals().values()    ):
						SCREAMING_SNAKE_CASE__								=      f"""Input values must either be float or int: {list(locals().values()    )}"""
						raise TypeError(snake_case__    )
			SCREAMING_SNAKE_CASE__								=      ((x * distance) / (z + distance)) * scale
			SCREAMING_SNAKE_CASE__								=      ((y * distance) / (z + distance)) * scale
			return projected_x, projected_y

def 	A       (     snake_case__		,				snake_case__		,				snake_case__		,				snake_case__		,				snake_case__    ):




			'''simple docstring'''


			if not isinstance(snake_case__		,				snake_case__    ):
						raise TypeError("""Axis must be a str"""    )
			SCREAMING_SNAKE_CASE__								=      locals()
			del input_variables["axis"]
			if not all(isinstance(snake_case__		,				(float, int)    ) for val in input_variables.values()    ):
						SCREAMING_SNAKE_CASE__								=      (
						    """Input values except axis must either be float or int: """
						    f"""{list(input_variables.values()    )}"""
						)
						raise TypeError(snake_case__    )
			SCREAMING_SNAKE_CASE__								=      (angle % 3_60) / 4_50 * 1_80 / math.pi
			if axis == "z":
						SCREAMING_SNAKE_CASE__								=      x * math.cos(snake_case__    ) - y * math.sin(snake_case__    )
						SCREAMING_SNAKE_CASE__								=      y * math.cos(snake_case__    ) + x * math.sin(snake_case__    )
						SCREAMING_SNAKE_CASE__								=      z
			elif axis == "x":
						SCREAMING_SNAKE_CASE__								=      y * math.cos(snake_case__    ) - z * math.sin(snake_case__    )
						SCREAMING_SNAKE_CASE__								=      z * math.cos(snake_case__    ) + y * math.sin(snake_case__    )
						SCREAMING_SNAKE_CASE__								=      x
			elif axis == "y":
						SCREAMING_SNAKE_CASE__								=      x * math.cos(snake_case__    ) - z * math.sin(snake_case__    )
						SCREAMING_SNAKE_CASE__								=      z * math.cos(snake_case__    ) + x * math.sin(snake_case__    )
						SCREAMING_SNAKE_CASE__								=      y
			else:
						raise ValueError("""not a valid axis, choose one of 'x', 'y', 'z'"""    )

			return new_x, new_y, new_z


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						print(F'{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }')
						print(F'{rotate(1.0, 2.0, 3.0, "y", 90.0) = }')





"""simple docstring"""




from ..utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
)


try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ..utils.dummy_pt_objects import *  # noqa F403
else:
						from .scheduling_consistency_models import CMStochasticIterativeScheduler
						from .scheduling_ddim import DDIMScheduler
						from .scheduling_ddim_inverse import DDIMInverseScheduler
						from .scheduling_ddim_parallel import DDIMParallelScheduler
						from .scheduling_ddpm import DDPMScheduler
						from .scheduling_ddpm_parallel import DDPMParallelScheduler
						from .scheduling_deis_multistep import DEISMultistepScheduler
						from .scheduling_dpmsolver_multistep import DPMSolverMultistepScheduler
						from .scheduling_dpmsolver_multistep_inverse import DPMSolverMultistepInverseScheduler
						from .scheduling_dpmsolver_singlestep import DPMSolverSinglestepScheduler
						from .scheduling_euler_ancestral_discrete import EulerAncestralDiscreteScheduler
						from .scheduling_euler_discrete import EulerDiscreteScheduler
						from .scheduling_heun_discrete import HeunDiscreteScheduler
						from .scheduling_ipndm import IPNDMScheduler
						from .scheduling_k_dpm_2_ancestral_discrete import KDPMaAncestralDiscreteScheduler
						from .scheduling_k_dpm_2_discrete import KDPMaDiscreteScheduler
						from .scheduling_karras_ve import KarrasVeScheduler
						from .scheduling_pndm import PNDMScheduler
						from .scheduling_repaint import RePaintScheduler
						from .scheduling_sde_ve import ScoreSdeVeScheduler
						from .scheduling_sde_vp import ScoreSdeVpScheduler
						from .scheduling_unclip import UnCLIPScheduler
						from .scheduling_unipc_multistep import UniPCMultistepScheduler
						from .scheduling_utils import KarrasDiffusionSchedulers, SchedulerMixin
						from .scheduling_vq_diffusion import VQDiffusionScheduler

try:
						if not is_flax_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ..utils.dummy_flax_objects import *  # noqa F403
else:
						from .scheduling_ddim_flax import FlaxDDIMScheduler
						from .scheduling_ddpm_flax import FlaxDDPMScheduler
						from .scheduling_dpmsolver_multistep_flax import FlaxDPMSolverMultistepScheduler
						from .scheduling_karras_ve_flax import FlaxKarrasVeScheduler
						from .scheduling_lms_discrete_flax import FlaxLMSDiscreteScheduler
						from .scheduling_pndm_flax import FlaxPNDMScheduler
						from .scheduling_sde_ve_flax import FlaxScoreSdeVeScheduler
						from .scheduling_utils_flax import (
						    FlaxKarrasDiffusionSchedulers,
						    FlaxSchedulerMixin,
						    FlaxSchedulerOutput,
						    broadcast_to_shape_from_left,
						)


try:
						if not (is_torch_available() and is_scipy_available()):
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ..utils.dummy_torch_and_scipy_objects import *  # noqa F403
else:
						from .scheduling_lms_discrete import LMSDiscreteScheduler

try:
						if not (is_torch_available() and is_torchsde_available()):
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ..utils.dummy_torch_and_torchsde_objects import *  # noqa F403
else:
						from .scheduling_dpmsolver_sde import DPMSolverSDEScheduler


