

'''simple docstring'''




import colorsys
import io

import cva
import matplotlib as mpl
import matplotlib.colors as mplc
import matplotlib.figure as mplfigure
import numpy as np
import torch
from matplotlib.backends.backend_agg import FigureCanvasAgg

from utils import img_tensorize


_a				: Optional[Any] 							=						1_000



class        lowercase_	:

  '''simple docstring'''





  def __init__(     self   , a_   , a_=1.2   , a_="g"   , a_=0.5   , a_="-"   , a_="test_out.jpg"   , a_=True   , a_=False   , a_=None   , a_=None   , a_=0.7   , )							->				str:


    """simple docstring"""
    if isinstance(a_   , torch.Tensor     ):
      UpperCAmelCase													=	img.numpy().astype('np.uint8'     )
    if isinstance(a_   , a_     ):
      UpperCAmelCase													=	img_tensorize(a_     )
    assert isinstance(a_   , np.ndarray     )

    UpperCAmelCase													=	img.shape[1], img.shape[0]
    UpperCAmelCase													=	mplfigure.Figure(frameon=a_     )
    UpperCAmelCase													=	fig.get_dpi()
    UpperCAmelCase													=	(width * scale + 1E-2) / dpi
    UpperCAmelCase													=	(height * scale + 1E-2) / dpi
    fig.set_size_inches(a_   , a_     )
    UpperCAmelCase													=	fig.add_axes([0.0, 0.0, 1.0, 1.0]     )
    ax.axis('off'     )
    ax.set_xlim(0.0   , a_     )
    ax.set_ylim(a_     )

    UpperCAmelCase													=	saveas
    UpperCAmelCase													=	rgb
    UpperCAmelCase													=	pynb
    UpperCAmelCase													=	img
    UpperCAmelCase													=	edgecolor
    UpperCAmelCase													=	0.5
    UpperCAmelCase													=	linestyle
    UpperCAmelCase													=	int(np.sqrt(min(a_   , a_     )     ) * scale // 3     )
    UpperCAmelCase													=	width
    UpperCAmelCase													=	height
    UpperCAmelCase													=	scale
    UpperCAmelCase													=	fig
    UpperCAmelCase													=	ax
    UpperCAmelCase													=	pad
    UpperCAmelCase													=	idaobj
    UpperCAmelCase													=	idaattr
    UpperCAmelCase													=	FigureCanvasAgg(a_     )
  def 						snake_case_			(     self   , a_   , a_=None     )							->				Optional[int]:


    """simple docstring"""
    if color is None:
      UpperCAmelCase													=	self.edgecolor
    (UpperCAmelCase)													=	box
    UpperCAmelCase													=	xa - xa
    UpperCAmelCase													=	ya - ya
    self.ax.add_patch(
        mpl.patches.Rectangle(
            (xa, ya)   , a_   , a_   , fill=a_   , edgecolor=a_   , linewidth=self.font_size // 3   , alpha=self.alpha   , linestyle=self.linestyle   , )     )
  def 						snake_case_			(     self   , a_   , a_=None   , a_=None   , a_=None   , a_=None     )							->				List[Any]:


    """simple docstring"""
    if len(boxes.shape     ) > 2:
      UpperCAmelCase													=	boxes[0]
    if len(obj_ids.shape     ) > 1:
      UpperCAmelCase													=	obj_ids[0]
    if len(obj_scores.shape     ) > 1:
      UpperCAmelCase													=	obj_scores[0]
    if len(attr_ids.shape     ) > 1:
      UpperCAmelCase													=	attr_ids[0]
    if len(attr_scores.shape     ) > 1:
      UpperCAmelCase													=	attr_scores[0]
    if isinstance(a_   , torch.Tensor     ):
      UpperCAmelCase													=	boxes.numpy()
    if isinstance(a_   , a_     ):
      UpperCAmelCase													=	np.array(a_     )
    assert isinstance(a_   , np.ndarray     )
    UpperCAmelCase													=	np.prod(boxes[:, 2:] - boxes[:, :2]   , axis=1     )
    UpperCAmelCase													=	np.argsort(-areas     ).tolist()
    UpperCAmelCase													=	boxes[sorted_idxs] if boxes is not None else None
    UpperCAmelCase													=	obj_ids[sorted_idxs] if obj_ids is not None else None
    UpperCAmelCase													=	obj_scores[sorted_idxs] if obj_scores is not None else None
    UpperCAmelCase													=	attr_ids[sorted_idxs] if attr_ids is not None else None
    UpperCAmelCase													=	attr_scores[sorted_idxs] if attr_scores is not None else None

    UpperCAmelCase													=	[self._random_color(maximum=1     ) for _ in range(len(a_     )     )]
    UpperCAmelCase													=	[assigned_colors[idx] for idx in sorted_idxs]
    if obj_ids is not None:
      UpperCAmelCase													=	self._create_text_labels_attr(a_   , a_   , a_   , a_     )
      for i in range(len(a_     )     ):
        UpperCAmelCase													=	assigned_colors[i]
        self.add_box(boxes[i]   , a_     )
        self.draw_labels(labels[i]   , boxes[i]   , a_     )
  def 						snake_case_			(     self   , a_   , a_   , a_     )							->				Any:


    """simple docstring"""
    UpperCAmelCase													=	box
    UpperCAmelCase													=	(xa, ya)
    UpperCAmelCase													=	(ya - ya) * (xa - xa)
    UpperCAmelCase													=	_SMALL_OBJ * self.scale
    if instance_area < small or ya - ya < 4_0 * self.scale:
      if ya >= self.height - 5:
        UpperCAmelCase													=	(xa, ya)
      else:
        UpperCAmelCase													=	(xa, ya)

    UpperCAmelCase													=	(ya - ya) / np.sqrt(self.height * self.width     )
    UpperCAmelCase													=	self._change_color_brightness(a_   , brightness_factor=0.7     )
    UpperCAmelCase													=	np.clip((height_ratio - 0.02) / 0.08 + 1   , 1.2   , 2     )
    font_size *= 0.75 * self.font_size

    self.draw_text(
        text=a_   , position=a_   , color=a_   , )
  def 						snake_case_			(     self   , a_   , a_   , a_="g"   , a_="left"   , )							->				Dict:


    """simple docstring"""
    UpperCAmelCase													=	0
    UpperCAmelCase													=	self.font_size
    UpperCAmelCase													=	np.maximum(list(mplc.to_rgb(a_     )     )   , 0.2     )
    UpperCAmelCase													=	max(0.8   , np.max(a_     )     )
    UpperCAmelCase													=	{
        '''facecolor''': '''black''',
        '''alpha''': self.alpha,
        '''pad''': self.pad,
        '''edgecolor''': '''none''',
    }
    UpperCAmelCase													=	position
    self.ax.text(
        a_   , a_   , a_   , size=font_size * self.scale   , family='sans-serif'   , bbox=a_   , verticalalignment='top'   , horizontalalignment=a_   , color=a_   , zorder=1_0   , rotation=a_   , )
  def 						snake_case_			(     self   , a_=None     )							->				str:


    """simple docstring"""
    if saveas is None:
      UpperCAmelCase													=	self.saveas
    if saveas.lower().endswith('.jpg'     ) or saveas.lower().endswith('.png'     ):
      cva.imwrite(
          a_   , self._get_buffer()[:, :, ::-1]   , )
    else:
      self.fig.savefig(a_     )
  def 						snake_case_			(     self   , a_   , a_   , a_   , a_     )							->				int:


    """simple docstring"""
    UpperCAmelCase													=	[self.idaobj[i] for i in classes]
    UpperCAmelCase													=	[self.idaattr[i] for i in attr_classes]
    UpperCAmelCase													=	[
        F'''{label} {score:.2f} {attr} {attr_score:.2f}'''
        for label, score, attr, attr_score in zip(a_   , a_   , a_   , a_     )
    ]
    return labels
  def 						snake_case_			(     self   , a_   , a_     )							->				List[str]:


    """simple docstring"""
    UpperCAmelCase													=	[self.idaobj[i] for i in classes]
    if scores is not None:
      if labels is None:
        UpperCAmelCase													=	['''{:.0f}%'''.format(s * 1_0_0     ) for s in scores]
      else:
        UpperCAmelCase													=	['''{} {:.0f}%'''.format(a_   , s * 1_0_0     ) for li, s in zip(a_   , a_     )]
    return labels
  def 						snake_case_			(     self   , a_=2_5_5     )							->				str:


    """simple docstring"""
    UpperCAmelCase													=	np.random.randint(0   , len(_COLORS     )     )
    UpperCAmelCase													=	_COLORS[idx] * maximum
    if not self.rgb:
      UpperCAmelCase													=	ret[::-1]
    return ret
  def 						snake_case_			(     self     )							->				Optional[Any]:


    """simple docstring"""
    if not self.pynb:
      UpperCAmelCase													=	self.canvas.print_to_buffer()
      if (width, height) != (self.width, self.height):
        UpperCAmelCase													=	cva.resize(self.img   , (width, height)     )
      else:
        UpperCAmelCase													=	self.img
    else:
      UpperCAmelCase													=	io.BytesIO()  # works for cairo backend
      self.canvas.print_rgba(a_     )
      UpperCAmelCase													=	self.width, self.height
      UpperCAmelCase													=	buf.getvalue()
      UpperCAmelCase													=	self.img

    UpperCAmelCase													=	np.frombuffer(a_   , dtype='uint8'     )
    UpperCAmelCase													=	buffer.reshape(a_   , a_   , 4     )
    UpperCAmelCase													=	np.split(a_   , [3]   , axis=2     )

    try:
      import numexpr as ne  # fuse them with numexpr

      UpperCAmelCase													=	ne.evaluate('img * (1 - alpha / 255.0) + rgb * (alpha / 255.0)'     )
    except ImportError:
      UpperCAmelCase													=	alpha.astype('float32'     ) / 255.0
      UpperCAmelCase													=	img * (1 - alpha) + rgb * alpha

    return visualized_image.astype('uint8'     )





  def 						snake_case_			(     self   , a_   , a_     )							->				List[str]:


    """simple docstring"""
    assert brightness_factor >= -1.0 and brightness_factor <= 1.0
    UpperCAmelCase													=	mplc.to_rgb(a_     )
    UpperCAmelCase													=	colorsys.rgb_to_hls(*mplc.to_rgb(a_     )     )
    UpperCAmelCase													=	polygon_color[1] + (brightness_factor * polygon_color[1])
    UpperCAmelCase													=	0.0 if modified_lightness < 0.0 else modified_lightness
    UpperCAmelCase													=	1.0 if modified_lightness > 1.0 else modified_lightness
    UpperCAmelCase													=	colorsys.hls_to_rgb(polygon_color[0]   , a_   , polygon_color[2]     )
    return modified_color




_a				: int 							=						(
    np.array(
        [
            0.000,
            0.447,
            0.741,
            0.850,
            0.325,
            0.098,
            0.929,
            0.694,
            0.125,
            0.494,
            0.184,
            0.556,
            0.466,
            0.674,
            0.188,
            0.301,
            0.745,
            0.933,
            0.635,
            0.078,
            0.184,
            0.300,
            0.300,
            0.300,
            0.600,
            0.600,
            0.600,
            1.000,
            0.000,
            0.000,
            1.000,
            0.500,
            0.000,
            0.749,
            0.749,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            1.000,
            0.667,
            0.000,
            1.000,
            0.333,
            0.333,
            0.000,
            0.333,
            0.667,
            0.000,
            0.333,
            1.000,
            0.000,
            0.667,
            0.333,
            0.000,
            0.667,
            0.667,
            0.000,
            0.667,
            1.000,
            0.000,
            1.000,
            0.333,
            0.000,
            1.000,
            0.667,
            0.000,
            1.000,
            1.000,
            0.000,
            0.000,
            0.333,
            0.500,
            0.000,
            0.667,
            0.500,
            0.000,
            1.000,
            0.500,
            0.333,
            0.000,
            0.500,
            0.333,
            0.333,
            0.500,
            0.333,
            0.667,
            0.500,
            0.333,
            1.000,
            0.500,
            0.667,
            0.000,
            0.500,
            0.667,
            0.333,
            0.500,
            0.667,
            0.667,
            0.500,
            0.667,
            1.000,
            0.500,
            1.000,
            0.000,
            0.500,
            1.000,
            0.333,
            0.500,
            1.000,
            0.667,
            0.500,
            1.000,
            1.000,
            0.500,
            0.000,
            0.333,
            1.000,
            0.000,
            0.667,
            1.000,
            0.000,
            1.000,
            1.000,
            0.333,
            0.000,
            1.000,
            0.333,
            0.333,
            1.000,
            0.333,
            0.667,
            1.000,
            0.333,
            1.000,
            1.000,
            0.667,
            0.000,
            1.000,
            0.667,
            0.333,
            1.000,
            0.667,
            0.667,
            1.000,
            0.667,
            1.000,
            1.000,
            1.000,
            0.000,
            1.000,
            1.000,
            0.333,
            1.000,
            1.000,
            0.667,
            1.000,
            0.333,
            0.000,
            0.000,
            0.500,
            0.000,
            0.000,
            0.667,
            0.000,
            0.000,
            0.833,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            0.167,
            0.000,
            0.000,
            0.333,
            0.000,
            0.000,
            0.500,
            0.000,
            0.000,
            0.667,
            0.000,
            0.000,
            0.833,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            0.167,
            0.000,
            0.000,
            0.333,
            0.000,
            0.000,
            0.500,
            0.000,
            0.000,
            0.667,
            0.000,
            0.000,
            0.833,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            0.143,
            0.143,
            0.143,
            0.857,
            0.857,
            0.857,
            1.000,
            1.000,
            1.000,
        ]
    )
    .astype(np.floataa)
    .reshape(-1, 3)
)





'''simple docstring'''




def       lowerCamelCase__		(						SCREAMING_SNAKE_CASE      :   list[list[int]]						):
  if len(SCREAMING_SNAKE_CASE						) == 0 or not all(len(SCREAMING_SNAKE_CASE						) == 2 for pair in coordinates						):
    raise ValueError('The program cannot work out a fitting polynomial.'						)

  if len({tuple(SCREAMING_SNAKE_CASE						) for pair in coordinates}						) != len(SCREAMING_SNAKE_CASE						):
    raise ValueError('The program cannot work out a fitting polynomial.'						)

  UpperCAmelCase													=	{x for x, _ in coordinates}
  if len(SCREAMING_SNAKE_CASE						) == 1:
    return f'''x={coordinates[0][0]}'''

  if len(SCREAMING_SNAKE_CASE						) != len(SCREAMING_SNAKE_CASE						):
    raise ValueError('The program cannot work out a fitting polynomial.'						)

  UpperCAmelCase													=	len(SCREAMING_SNAKE_CASE						)

  UpperCAmelCase													=	0
  UpperCAmelCase													=	[]
  # put the x and x to the power values in a matrix
  while count_of_line < x:
    UpperCAmelCase													=	0
    UpperCAmelCase													=	coordinates[count_of_line][0]
    UpperCAmelCase													=	[]
    while count_in_line < x:
      count_line.append(a ** (x - (count_in_line + 1))						)
      count_in_line += 1
    matrix.append(SCREAMING_SNAKE_CASE						)
    count_of_line += 1

  UpperCAmelCase													=	0
  # put the y values into a vector
  UpperCAmelCase													=	[]
  while count_of_line < x:
    vector.append(coordinates[count_of_line][1]						)
    count_of_line += 1

  UpperCAmelCase													=	0

  while count < x:
    UpperCAmelCase													=	0
    while zahlen < x:
      if count == zahlen:
        zahlen += 1
      if zahlen == x:
        break
      UpperCAmelCase													=	matrix[zahlen][count] / matrix[count][count]
      for counting_columns, item in enumerate(matrix[count]						):
        # manipulating all the values in the matrix
        matrix[zahlen][counting_columns] -= item * bruch
      # manipulating the values in the vector
      vector[zahlen] -= vector[count] * bruch
      zahlen += 1
    count += 1

  UpperCAmelCase													=	0
  # make solutions
  UpperCAmelCase													=	[]
  while count < x:
    solution.append(str(vector[count] / matrix[count][count]						)						)
    count += 1

  UpperCAmelCase													=	0
  UpperCAmelCase													=	'f(x)='

  while count < x:
    UpperCAmelCase													=	solution[count].split('E'						)
    if len(SCREAMING_SNAKE_CASE						) > 1:
      UpperCAmelCase													=	f'''{remove_e[0]}*10^{remove_e[1]}'''
    solved += f'''x^{x - (count + 1)}*{solution[count]}'''
    if count + 1 != x:
      solved += "+"
    count += 1

  return solved


if __name__ == "__main__":
  print(points_to_polynomial([]))
  print(points_to_polynomial([[]]))
  print(points_to_polynomial([[1, 0], [2, 0], [3, 0]]))
  print(points_to_polynomial([[1, 1], [2, 1], [3, 1]]))
  print(points_to_polynomial([[1, 3], [2, 3], [3, 3]]))
  print(points_to_polynomial([[1, 1], [2, 2], [3, 3]]))
  print(points_to_polynomial([[1, 1], [2, 4], [3, 9]]))
  print(points_to_polynomial([[1, 3], [2, 6], [3, 11]]))
  print(points_to_polynomial([[1, -3], [2, -6], [3, -11]]))
  print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))


