




'''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[int]					      =			1_000






class 			SCREAMING_SNAKE_CASE:

       def __init__(       self   ,						lowerCamelCase__   ,						lowerCamelCase__=1.2   ,						lowerCamelCase__="g"   ,						lowerCamelCase__=0.5   ,						lowerCamelCase__="-"   ,						lowerCamelCase__="test_out.jpg"   ,						lowerCamelCase__=True   ,						lowerCamelCase__=False   ,						lowerCamelCase__=None   ,						lowerCamelCase__=None   ,						lowerCamelCase__=0.7   ,						)       ->   Optional[Any]:

           """simple docstring"""



           if isinstance(lowerCamelCase__   ,						torch.Tensor	):
               __lowercase     							=		img.numpy().astype("""np.uint8"""	)
           if isinstance(lowerCamelCase__   ,						lowerCamelCase__	):
               __lowercase     							=		img_tensorize(lowerCamelCase__	)
           assert isinstance(lowerCamelCase__   ,						np.ndarray	)

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

           __lowercase     							=		saveas
           __lowercase     							=		rgb
           __lowercase     							=		pynb
           __lowercase     							=		img
           __lowercase     							=		edgecolor
           __lowercase     							=		0.5
           __lowercase     							=		linestyle
           __lowercase     							=		int(np.sqrt(min(lowerCamelCase__   ,						lowerCamelCase__	)	) * scale // 3	)
           __lowercase     							=		width
           __lowercase     							=		height
           __lowercase     							=		scale
           __lowercase     							=		fig
           __lowercase     							=		ax
           __lowercase     							=		pad
           __lowercase     							=		idaobj
           __lowercase     							=		idaattr
           __lowercase     							=		FigureCanvasAgg(lowerCamelCase__	)

       def        snake_case__     (       self   ,						lowerCamelCase__   ,						lowerCamelCase__=None	)       ->   Optional[Any]:

           """simple docstring"""



           if color is None:
               __lowercase     							=		self.edgecolor
           ((__lowercase)							,(__lowercase)							,(__lowercase)							,(__lowercase))     							=		box
           __lowercase     							=		xa - xa
           __lowercase     							=		ya - ya
           self.ax.add_patch(
               mpl.patches.Rectangle(
                   (xa, ya)   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						fill=lowerCamelCase__   ,						edgecolor=lowerCamelCase__   ,						linewidth=self.font_size // 3   ,						alpha=self.alpha   ,						linestyle=self.linestyle   ,						)	)

       def        snake_case__     (       self   ,						lowerCamelCase__   ,						lowerCamelCase__=None   ,						lowerCamelCase__=None   ,						lowerCamelCase__=None   ,						lowerCamelCase__=None	)       ->   Any:

           """simple docstring"""



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

           __lowercase     							=		[self._random_color(maximum=1	) for _ in range(len(lowerCamelCase__	)	)]
           __lowercase     							=		[assigned_colors[idx] for idx in sorted_idxs]
           if obj_ids is not None:
               __lowercase     							=		self._create_text_labels_attr(lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__	)
               for i in range(len(lowerCamelCase__	)	):
                   __lowercase     							=		assigned_colors[i]
                   self.add_box(boxes[i]   ,						lowerCamelCase__	)
                   self.draw_labels(labels[i]   ,						boxes[i]   ,						lowerCamelCase__	)

       def        snake_case__     (       self   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__	)       ->   str:

           """simple docstring"""



           __lowercase							,__lowercase							,__lowercase							,__lowercase     							=		box
           __lowercase     							=		(xa, ya)
           __lowercase     							=		(ya - ya) * (xa - xa)
           __lowercase     							=		_SMALL_OBJ * self.scale
           if instance_area < small or ya - ya < 40 * self.scale:
               if ya >= self.height - 5:
                   __lowercase     							=		(xa, ya)
               else:
                   __lowercase     							=		(xa, ya)

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

           self.draw_text(
               text=lowerCamelCase__   ,						position=lowerCamelCase__   ,						color=lowerCamelCase__   ,						)

       def        snake_case__     (       self   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__="g"   ,						lowerCamelCase__="left"   ,						)       ->   Dict:

           """simple docstring"""



           __lowercase     							=		0
           __lowercase     							=		self.font_size
           __lowercase     							=		np.maximum(list(mplc.to_rgb(lowerCamelCase__	)	)   ,						0.2	)
           __lowercase     							=		max(0.8   ,						np.max(lowerCamelCase__	)	)
           __lowercase     							=		{
               """facecolor""": """black""",
               """alpha""": self.alpha,
               """pad""": self.pad,
               """edgecolor""": """none""",
           }
           __lowercase							,__lowercase     							=		position
           self.ax.text(
               lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						size=font_size * self.scale   ,						family="""sans-serif"""   ,						bbox=lowerCamelCase__   ,						verticalalignment="""top"""   ,						horizontalalignment=lowerCamelCase__   ,						color=lowerCamelCase__   ,						zorder=10   ,						rotation=lowerCamelCase__   ,						)

       def        snake_case__     (       self   ,						lowerCamelCase__=None	)       ->   List[str]:

           """simple docstring"""



           if saveas is None:
               __lowercase     							=		self.saveas
           if saveas.lower().endswith(""".jpg"""	) or saveas.lower().endswith(""".png"""	):
               cva.imwrite(
                   lowerCamelCase__   ,						self._get_buffer()[:, :, ::-1]   ,						)
           else:
               self.fig.savefig(lowerCamelCase__	)

       def        snake_case__     (       self   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__	)       ->   Tuple:

           """simple docstring"""



           __lowercase     							=		[self.idaobj[i] for i in classes]
           __lowercase     							=		[self.idaattr[i] for i in attr_classes]
           __lowercase     							=		[
               F'{label} {score:.2f} {attr} {attr_score:.2f}'
               for label, score, attr, attr_score in zip(lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__   ,						lowerCamelCase__	)
           ]
           return labels

       def        snake_case__     (       self   ,						lowerCamelCase__   ,						lowerCamelCase__	)       ->   Tuple:

           """simple docstring"""



           __lowercase     							=		[self.idaobj[i] for i in classes]
           if scores is not None:
               if labels is None:
                   __lowercase     							=		["""{:.0f}%""".format(s * 100	) for s in scores]
               else:
                   __lowercase     							=		["""{} {:.0f}%""".format(lowerCamelCase__   ,						s * 100	) for li, s in zip(lowerCamelCase__   ,						lowerCamelCase__	)]
           return labels

       def        snake_case__     (       self   ,						lowerCamelCase__=255	)       ->   str:

           """simple docstring"""



           __lowercase     							=		np.random.randint(0   ,						len(_COLORS	)	)
           __lowercase     							=		_COLORS[idx] * maximum
           if not self.rgb:
               __lowercase     							=		ret[::-1]
           return ret

       def        snake_case__     (       self	)       ->   Optional[Any]:

           """simple docstring"""



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

           __lowercase     							=		np.frombuffer(lowerCamelCase__   ,						dtype="""uint8"""	)
           __lowercase     							=		buffer.reshape(lowerCamelCase__   ,						lowerCamelCase__   ,						4	)
           __lowercase							,__lowercase     							=		np.split(lowerCamelCase__   ,						[3]   ,						axis=2	)

           try:
               import numexpr as ne  # fuse them with numexpr

               __lowercase     							=		ne.evaluate("""img * (1 - alpha / 255.0) + rgb * (alpha / 255.0)"""	)
           except ImportError:
               __lowercase     							=		alpha.astype("""float32"""	) / 2_55.0
               __lowercase     							=		img * (1 - alpha) + rgb * alpha

           return visualized_image.astype("""uint8"""	)




       def        snake_case__     (       self   ,						lowerCamelCase__   ,						lowerCamelCase__	)       ->   Optional[int]:

           """simple docstring"""



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

A				: Any					      =			(
    np.array(
        [
            0.0_00,
            0.4_47,
            0.7_41,
            0.8_50,
            0.3_25,
            0.0_98,
            0.9_29,
            0.6_94,
            0.1_25,
            0.4_94,
            0.1_84,
            0.5_56,
            0.4_66,
            0.6_74,
            0.1_88,
            0.3_01,
            0.7_45,
            0.9_33,
            0.6_35,
            0.0_78,
            0.1_84,
            0.3_00,
            0.3_00,
            0.3_00,
            0.6_00,
            0.6_00,
            0.6_00,
            1.0_00,
            0.0_00,
            0.0_00,
            1.0_00,
            0.5_00,
            0.0_00,
            0.7_49,
            0.7_49,
            0.0_00,
            0.0_00,
            1.0_00,
            0.0_00,
            0.0_00,
            0.0_00,
            1.0_00,
            0.6_67,
            0.0_00,
            1.0_00,
            0.3_33,
            0.3_33,
            0.0_00,
            0.3_33,
            0.6_67,
            0.0_00,
            0.3_33,
            1.0_00,
            0.0_00,
            0.6_67,
            0.3_33,
            0.0_00,
            0.6_67,
            0.6_67,
            0.0_00,
            0.6_67,
            1.0_00,
            0.0_00,
            1.0_00,
            0.3_33,
            0.0_00,
            1.0_00,
            0.6_67,
            0.0_00,
            1.0_00,
            1.0_00,
            0.0_00,
            0.0_00,
            0.3_33,
            0.5_00,
            0.0_00,
            0.6_67,
            0.5_00,
            0.0_00,
            1.0_00,
            0.5_00,
            0.3_33,
            0.0_00,
            0.5_00,
            0.3_33,
            0.3_33,
            0.5_00,
            0.3_33,
            0.6_67,
            0.5_00,
            0.3_33,
            1.0_00,
            0.5_00,
            0.6_67,
            0.0_00,
            0.5_00,
            0.6_67,
            0.3_33,
            0.5_00,
            0.6_67,
            0.6_67,
            0.5_00,
            0.6_67,
            1.0_00,
            0.5_00,
            1.0_00,
            0.0_00,
            0.5_00,
            1.0_00,
            0.3_33,
            0.5_00,
            1.0_00,
            0.6_67,
            0.5_00,
            1.0_00,
            1.0_00,
            0.5_00,
            0.0_00,
            0.3_33,
            1.0_00,
            0.0_00,
            0.6_67,
            1.0_00,
            0.0_00,
            1.0_00,
            1.0_00,
            0.3_33,
            0.0_00,
            1.0_00,
            0.3_33,
            0.3_33,
            1.0_00,
            0.3_33,
            0.6_67,
            1.0_00,
            0.3_33,
            1.0_00,
            1.0_00,
            0.6_67,
            0.0_00,
            1.0_00,
            0.6_67,
            0.3_33,
            1.0_00,
            0.6_67,
            0.6_67,
            1.0_00,
            0.6_67,
            1.0_00,
            1.0_00,
            1.0_00,
            0.0_00,
            1.0_00,
            1.0_00,
            0.3_33,
            1.0_00,
            1.0_00,
            0.6_67,
            1.0_00,
            0.3_33,
            0.0_00,
            0.0_00,
            0.5_00,
            0.0_00,
            0.0_00,
            0.6_67,
            0.0_00,
            0.0_00,
            0.8_33,
            0.0_00,
            0.0_00,
            1.0_00,
            0.0_00,
            0.0_00,
            0.0_00,
            0.1_67,
            0.0_00,
            0.0_00,
            0.3_33,
            0.0_00,
            0.0_00,
            0.5_00,
            0.0_00,
            0.0_00,
            0.6_67,
            0.0_00,
            0.0_00,
            0.8_33,
            0.0_00,
            0.0_00,
            1.0_00,
            0.0_00,
            0.0_00,
            0.0_00,
            0.1_67,
            0.0_00,
            0.0_00,
            0.3_33,
            0.0_00,
            0.0_00,
            0.5_00,
            0.0_00,
            0.0_00,
            0.6_67,
            0.0_00,
            0.0_00,
            0.8_33,
            0.0_00,
            0.0_00,
            1.0_00,
            0.0_00,
            0.0_00,
            0.0_00,
            0.1_43,
            0.1_43,
            0.1_43,
            0.8_57,
            0.8_57,
            0.8_57,
            1.0_00,
            1.0_00,
            1.0_00,
        ]
    )
    .astype(np.floataa)
    .reshape(-1, 3)
)










'''simple docstring'''
import numpy as np
def 							snake_case_    (  a__						:      Tuple     ):



    """simple docstring"""




    __lowercase							,__lowercase     							=		a.shape
    __lowercase     							=		min(a__       ,a__     )
    __lowercase     							=		np.eye(a__     )
    __lowercase     							=		a.copy()

    for k in range(t - 1     ):
        # select a column of modified matrix A':
        __lowercase     							=		r[k:, [k]]
        # construct first basis vector
        __lowercase     							=		np.zeros_like(a__     )
        __lowercase     							=		1.0
        # determine scaling factor
        __lowercase     							=		np.linalg.norm(a__     )
        # construct vector v for Householder reflection
        __lowercase     							=		x + np.sign(x[0]     ) * alpha * ea
        v /= np.linalg.norm(a__     )

        # construct the Householder matrix
        __lowercase     							=		np.eye(m - k     ) - 2.0 * v @ v.T
        # pad with ones and zeros as necessary
        __lowercase     							=		np.block([[np.eye(a__     ), np.zeros((k, m - k)     )], [np.zeros((m - k, k)     ), q_k]]     )

        __lowercase     							=		q @ q_k.T
        __lowercase     							=		q_k @ r

    return q, r


if __name__ == "__main__":
  import doctest

  doctest.testmod()




