text: # MIT License
  #
  # Copyright (C) IBM Corporation 2019
  #
  # Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated
  # documentation files (the "Software"), to deal in the Software without restriction, including without limitation the
  # rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit
  # persons to whom the Software is furnished to do so, subject to the following conditions:
  #
  # The above copyright notice and this permission notice shall be included in all copies or substantial portions of the
  # Software.
  #
  # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE
  # WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
  # TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
  # SOFTWARE.
  """
  Basic functions and other utilities for machine learning models in the differential privacy library
  """
  from numbers import Real
  
  
  def _check_bounds(bounds, dims=1, min_separation=1e-5):
      if bounds is None:
          return None
  
      if not isinstance(bounds, list):
          raise TypeError("Bounds must be specified as a list of tuples.")
  
      new_bounds = list()
  
      if len(bounds) != dims:
          raise ValueError("Number of bounds must match the dimensions of input data")
  
      for bound in bounds:
          if not isinstance(bound, tuple):
              raise TypeError("Bounds must be specified as a list of tuples, got a '%s'" % type(bound))
  
          lower, upper = bound
  
          if not isinstance(lower, Real) or not isinstance(upper, Real) or lower > upper:
              raise ValueError("For each feature bound, lower bound must be smaller than upper bound"
                               "(error found in bound %s" % str(bound))
  
          if upper - lower <= min_separation:
              bound = (lower - min_separation, upper + min_separation)
  
          new_bounds.append(bound)
  
      return new_bounds
  