

from __future__ import annotations

from collections.abc import MutableSequence

class 				UpperCAmelCase_		:
							"""simple docstring"""







							def __init__(			self       ,							_a       ,							_a       )    ->    None:
												if len(_a       ) != degree + 1:
																	raise ValueError(
																	    '''The number of coefficients should be equal to the degree + 1.'''       )

												_a	:    list[float]         =		list(_a       )
												_a	:    int         =		degree


							def __add__(			self       ,							_a       )    ->    Polynomial:

												if self.degree > polynomial_a.degree:
																	_a	:    List[Any]         =		self.coefficients[:]
																	for i in range(polynomial_a.degree + 1       ):
																						coefficients[i] += polynomial_a.coefficients[i]
																	return Polynomial(self.degree       ,							_a       )
												else:
																	_a	:    Dict         =		polynomial_a.coefficients[:]
																	for i in range(self.degree + 1       ):
																						coefficients[i] += self.coefficients[i]
																	return Polynomial(polynomial_a.degree       ,							_a       )


							def __sub__(			self       ,							_a       )    ->    Polynomial:
												return self + polynomial_a * Polynomial(0       ,							[-1]       )


							def __neg__(			self       )    ->    Polynomial:
												return Polynomial(self.degree       ,							[-c for c in self.coefficients]       )


							def __mul__(			self       ,							_a       )    ->    Polynomial:
												_a	:    list[float]         =		[0] * (self.degree + polynomial_a.degree + 1)
												for i in range(self.degree + 1       ):
																	for j in range(polynomial_a.degree + 1       ):
																						coefficients[i + j] += (
																						    self.coefficients[i] * polynomial_a.coefficients[j]
																						)

												return Polynomial(self.degree + polynomial_a.degree       ,							_a       )


							def 				__lowercase				(			self       ,							_a       )    ->    int | float:
												_a	:    int | float         =		0
												for i in range(self.degree + 1       ):
																	result += self.coefficients[i] * (substitution**i)
												return result


							def __str__(			self       )    ->    str:
												_a	:    int         =		''''''
												for i in range(self.degree       ,							-1       ,							-1       ):
																	if self.coefficients[i] == 0:
																						continue
																	elif self.coefficients[i] > 0:
																						if polynomial:
																											polynomial += " + "
																	else:
																						polynomial += " - "

																	if i == 0:
																						polynomial += str(abs(self.coefficients[i]       )       )
																	elif i == 1:
																						polynomial += str(abs(self.coefficients[i]       )       ) + "x"
																	else:
																						polynomial += str(abs(self.coefficients[i]       )       ) + "x^" + str(_a       )

												return polynomial


							def __repr__(			self       )    ->    str:
												return self.__str__()


							def 				__lowercase				(			self       )    ->    Polynomial:
												_a	:    list[float]         =		[0] * self.degree
												for i in range(self.degree       ):
																	_a	:    Tuple         =		self.coefficients[i + 1] * (i + 1)
												return Polynomial(self.degree - 1       ,							_a       )


							def 				__lowercase				(			self       ,							_a = 0       )    ->    Polynomial:
												_a	:    list[float]         =		[0] * (self.degree + 2)
												_a	:    Optional[Any]         =		constant
												for i in range(self.degree + 1       ):
																	_a	:    Union[str, Any]         =		self.coefficients[i] / (i + 1)
												return Polynomial(self.degree + 1       ,							_a       )


							def __eq__(			self       ,							_a       )    ->    bool:
												if not isinstance(_a       ,							_a       ):
																	return False

												if self.degree != polynomial_a.degree:
																	return False

												for i in range(self.degree + 1       ):
																	if self.coefficients[i] != polynomial_a.coefficients[i]:
																						return False

												return True




							def __ne__(			self       ,							_a       )    ->    bool:
												return not self.__eq__(_a       )






a__				=		'''0.18.2'''

from .configuration_utils import ConfigMixin
from .utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_inflect_available,
    is_invisible_watermark_available,
    is_k_diffusion_available,
    is_k_diffusion_version,
    is_librosa_available,
    is_note_seq_available,
    is_onnx_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
    is_transformers_available,
    is_transformers_version,
    is_unidecode_available,
    logging,
)


try:
			if not is_onnx_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_onnx_objects import *  # noqa F403
else:
			from .pipelines import OnnxRuntimeModel

try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_pt_objects import *  # noqa F403
else:
			from .models import (
			    AutoencoderKL,
			    ControlNetModel,
			    ModelMixin,
			    PriorTransformer,
			    TaFilmDecoder,
			    TransformeraDModel,
			    UNetaDModel,
			    UNetaDConditionModel,
			    UNetaDModel,
			    UNetaDConditionModel,
			    VQModel,
			)
			from .optimization import (
			    get_constant_schedule,
			    get_constant_schedule_with_warmup,
			    get_cosine_schedule_with_warmup,
			    get_cosine_with_hard_restarts_schedule_with_warmup,
			    get_linear_schedule_with_warmup,
			    get_polynomial_decay_schedule_with_warmup,
			    get_scheduler,
			)
			from .pipelines import (
			    AudioPipelineOutput,
			    ConsistencyModelPipeline,
			    DanceDiffusionPipeline,
			    DDIMPipeline,
			    DDPMPipeline,
			    DiffusionPipeline,
			    DiTPipeline,
			    ImagePipelineOutput,
			    KarrasVePipeline,
			    LDMPipeline,
			    LDMSuperResolutionPipeline,
			    PNDMPipeline,
			    RePaintPipeline,
			    ScoreSdeVePipeline,
			)
			from .schedulers import (
			    CMStochasticIterativeScheduler,
			    DDIMInverseScheduler,
			    DDIMParallelScheduler,
			    DDIMScheduler,
			    DDPMParallelScheduler,
			    DDPMScheduler,
			    DEISMultistepScheduler,
			    DPMSolverMultistepInverseScheduler,
			    DPMSolverMultistepScheduler,
			    DPMSolverSinglestepScheduler,
			    EulerAncestralDiscreteScheduler,
			    EulerDiscreteScheduler,
			    HeunDiscreteScheduler,
			    IPNDMScheduler,
			    KarrasVeScheduler,
			    KDPMaAncestralDiscreteScheduler,
			    KDPMaDiscreteScheduler,
			    PNDMScheduler,
			    RePaintScheduler,
			    SchedulerMixin,
			    ScoreSdeVeScheduler,
			    UnCLIPScheduler,
			    UniPCMultistepScheduler,
			    VQDiffusionScheduler,
			)
			from .training_utils import EMAModel

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 .schedulers 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 .schedulers import DPMSolverSDEScheduler

try:
			if not (is_torch_available() and is_transformers_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_torch_and_transformers_objects import *  # noqa F403
else:
			from .pipelines import (
			    AltDiffusionImgaImgPipeline,
			    AltDiffusionPipeline,
			    AudioLDMPipeline,
			    CycleDiffusionPipeline,
			    IFImgaImgPipeline,
			    IFImgaImgSuperResolutionPipeline,
			    IFInpaintingPipeline,
			    IFInpaintingSuperResolutionPipeline,
			    IFPipeline,
			    IFSuperResolutionPipeline,
			    ImageTextPipelineOutput,
			    KandinskyImgaImgPipeline,
			    KandinskyInpaintPipeline,
			    KandinskyPipeline,
			    KandinskyPriorPipeline,
			    KandinskyVaaControlnetImgaImgPipeline,
			    KandinskyVaaControlnetPipeline,
			    KandinskyVaaImgaImgPipeline,
			    KandinskyVaaInpaintPipeline,
			    KandinskyVaaPipeline,
			    KandinskyVaaPriorEmbaEmbPipeline,
			    KandinskyVaaPriorPipeline,
			    LDMTextToImagePipeline,
			    PaintByExamplePipeline,
			    SemanticStableDiffusionPipeline,
			    ShapEImgaImgPipeline,
			    ShapEPipeline,
			    StableDiffusionAttendAndExcitePipeline,
			    StableDiffusionControlNetImgaImgPipeline,
			    StableDiffusionControlNetInpaintPipeline,
			    StableDiffusionControlNetPipeline,
			    StableDiffusionDepthaImgPipeline,
			    StableDiffusionDiffEditPipeline,
			    StableDiffusionImageVariationPipeline,
			    StableDiffusionImgaImgPipeline,
			    StableDiffusionInpaintPipeline,
			    StableDiffusionInpaintPipelineLegacy,
			    StableDiffusionInstructPixaPixPipeline,
			    StableDiffusionLatentUpscalePipeline,
			    StableDiffusionLDMaDPipeline,
			    StableDiffusionModelEditingPipeline,
			    StableDiffusionPanoramaPipeline,
			    StableDiffusionParadigmsPipeline,
			    StableDiffusionPipeline,
			    StableDiffusionPipelineSafe,
			    StableDiffusionPixaPixZeroPipeline,
			    StableDiffusionSAGPipeline,
			    StableDiffusionUpscalePipeline,
			    StableUnCLIPImgaImgPipeline,
			    StableUnCLIPPipeline,
			    TextToVideoSDPipeline,
			    TextToVideoZeroPipeline,
			    UnCLIPImageVariationPipeline,
			    UnCLIPPipeline,
			    UniDiffuserModel,
			    UniDiffuserPipeline,
			    UniDiffuserTextDecoder,
			    VersatileDiffusionDualGuidedPipeline,
			    VersatileDiffusionImageVariationPipeline,
			    VersatileDiffusionPipeline,
			    VersatileDiffusionTextToImagePipeline,
			    VideoToVideoSDPipeline,
			    VQDiffusionPipeline,
			)

try:
			if not (is_torch_available() and is_transformers_available() and is_invisible_watermark_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_torch_and_transformers_and_invisible_watermark_objects import *  # noqa F403
else:
			from .pipelines import StableDiffusionXLImgaImgPipeline, StableDiffusionXLPipeline

try:
			if not (is_torch_available() and is_transformers_available() and is_k_diffusion_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_torch_and_transformers_and_k_diffusion_objects import *  # noqa F403
else:
			from .pipelines import StableDiffusionKDiffusionPipeline

try:
			if not (is_torch_available() and is_transformers_available() and is_onnx_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_torch_and_transformers_and_onnx_objects import *  # noqa F403
else:
			from .pipelines import (
			    OnnxStableDiffusionImgaImgPipeline,
			    OnnxStableDiffusionInpaintPipeline,
			    OnnxStableDiffusionInpaintPipelineLegacy,
			    OnnxStableDiffusionPipeline,
			    OnnxStableDiffusionUpscalePipeline,
			    StableDiffusionOnnxPipeline,
			)

try:
			if not (is_torch_available() and is_librosa_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_torch_and_librosa_objects import *  # noqa F403
else:
			from .pipelines import AudioDiffusionPipeline, Mel

try:
			if not (is_transformers_available() and is_torch_available() and is_note_seq_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_transformers_and_torch_and_note_seq_objects import *  # noqa F403
else:
			from .pipelines import SpectrogramDiffusionPipeline

try:
			if not is_flax_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_flax_objects import *  # noqa F403
else:
			from .models.controlnet_flax import FlaxControlNetModel
			from .models.modeling_flax_utils import FlaxModelMixin
			from .models.unet_ad_condition_flax import FlaxUNetaDConditionModel
			from .models.vae_flax import FlaxAutoencoderKL
			from .pipelines import FlaxDiffusionPipeline
			from .schedulers import (
			    FlaxDDIMScheduler,
			    FlaxDDPMScheduler,
			    FlaxDPMSolverMultistepScheduler,
			    FlaxKarrasVeScheduler,
			    FlaxLMSDiscreteScheduler,
			    FlaxPNDMScheduler,
			    FlaxSchedulerMixin,
			    FlaxScoreSdeVeScheduler,
			)


try:
			if not (is_flax_available() and is_transformers_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_flax_and_transformers_objects import *  # noqa F403
else:
			from .pipelines import (
			    FlaxStableDiffusionControlNetPipeline,
			    FlaxStableDiffusionImgaImgPipeline,
			    FlaxStableDiffusionInpaintPipeline,
			    FlaxStableDiffusionPipeline,
			)

try:
			if not (is_note_seq_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from .utils.dummy_note_seq_objects import *  # noqa F403
else:
			from .pipelines import MidiProcessor



