class_docstr: Forms the Itakura parallelogram, where max_slope determines the slope of the steeper side.
  
  Examples
  --------
  >>>                                      x
  >>>                                  xxxx
  >>>                   B           xxxxxx
  >>>                         xxxxxxxxxxx
  >>>                     xxxxxxxxxxxxxx
  >>>                 xxxxxxxxxxxxxxxxx
  >>>              xxxxxxxxxxxxxxxxxxxx     C
  >>>            xxxxxxxxxxxxxxxxxxxxx
  >>>           xxxxxxxxxxxxxxxxxxxxx
  >>>          xxxxxxxxxxxxxxxxxxxxx
  >>>     A   xxxxxxxxxxxxxxxxxxxxx
  >>>        xxxxxxxxxxxxxxxxxxxxx
  >>>       xxxxxxxxxxxxxxxxxxxxx
  >>>      xxxxxxxxxxxxxxxxxxxx
  >>>     xxxxxxxxxxxxxxxx       D
  >>>     xxxxxxxxxxxx
  >>>    xxxxxxxxx
  >>>   xxxxxx
  >>>  xxx
  >>> x
code: def init_size(self, n: int, m: int):
      self.n = n
      self.m = m
  
      max_slope = self.max_slope
      diagonal_slope = m / n  # rise over run
      raise_if_not(
          max_slope > diagonal_slope,
          f"Itakura slope {max_slope} must be greater than {diagonal_slope} to form valid parallelogram.",
      )
  
      max_slope_angle = atan(max_slope)
      diagonal_slope_angle = atan(diagonal_slope)
  
      diff_slope_angle = max_slope_angle - diagonal_slope_angle
      min_slope = tan(diagonal_slope_angle - diff_slope_angle)
  
      # Derivation for determining how wide the steep top sides (A) and shallow bottom (D) are
  
      # max_slope*x + (n-x)*min_slope = m
      # max_slope*x + n*min_slope - min_slope*x = m
      # (max_slope - min_slope)*x = m - n*min_slope
      # x = (m - n*min_slope) / (max_slope - min_slope)
  
      ranges = np.zeros((self.n, 2), dtype=float)
  
      shallow_bottom = int(
          np.round((m - n * max_slope) / (min_slope - max_slope)) + 1
      )
      ranges[:shallow_bottom, 0] = np.arange(shallow_bottom)
      ranges[shallow_bottom:, 0] = np.arange(n - shallow_bottom) + 1
  
      ranges[:shallow_bottom, 0] *= min_slope
      ranges[shallow_bottom:, 0] *= max_slope
      ranges[shallow_bottom:, 0] += ranges[shallow_bottom - 1, 0]
  
      steep_top = int(
          np.round((m - n * min_slope) / (max_slope - min_slope))
      )
      ranges[:steep_top, 1] = np.arange(steep_top) + 1
      ranges[steep_top:, 1] = np.arange(n - steep_top) + 1
  
      ranges[:steep_top:, 1] *= max_slope
      ranges[steep_top:, 1] *= min_slope
      ranges[steep_top:, 1] += ranges[steep_top - 1, 1]
  
      np.floor(ranges[:, 0], out=ranges[:, 0])
      np.ceil(ranges[:, 1], out=ranges[:, 1])
  
      ranges = np.maximum([0, 1], ranges)
      ranges = np.minimum([self.m - 1, self.m], ranges)
      ranges = ranges.astype(int)
      ranges[0][0] = 0
  
      super().__init__(n, m, ranges)
  
imports: import array
  from abc import ABC, abstractmethod
  from math import atan, tan
  from typing import Tuple
  import numpy
  from darts.logging import raise_if, raise_if_not
label_desc: Use image node_id 2 for calling the Itakura obj's underlying member method code with example usage: obj.init_size(n, m) without return types