Math.py

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#
# Copyright 2010, MeVis Medical Solutions AG
#
# The user may use this file in accordance with the license agreement provided with
# the Software or, alternatively, in accordance with the terms contained in a
# written agreement between the user and MeVis Medical Solutions AG.
#
# For further information use the contact form at https://www.mevislab.de/contact
#
 
 
 
# -- system imports ----------------------------------------------------------------------------{{{-
from numbers import Number
# ----------------------------------------------------------------------------------------------}}}-
 
 
def _areInstancesOfNumber( a, b ):
  return ( isinstance( a, Number ) and isinstance( b, Number ) )
 
def _areOfTypeListOrTuple( a, b ):
  return ( ( type( a ) in ( list, tuple ) ) and ( type( b ) in ( list, tuple ) ))
 
def _haveEqualLength( a, b ):
  return ( len( a ) == len( b ) )
  
    
def _areEqual( a, b, epsilon ):
  return ( abs( a - b ) < epsilon )
  
def _isLessThan( a, b ):
  return ( a < b )
 
  
# -- def compareFloatEqual ---------------------------------------------------------------------{{{-
 
def compareFloatEqual ( a, b, epsilon = 0.0001 ):
  result = False
  if ( _areInstancesOfNumber( a, b ) ):
    result = _areEqual( a, b, epsilon )
 
  elif ( _areOfTypeListOrTuple( a, b ) ):
    if ( _haveEqualLength( a, b ) ):
      result = True
      for i in range( 0, len( a ) ):
        result = compareFloatEqual ( a[i], b[i], epsilon )
        if ( not result ):
          break
 
    else:
      Logging_error( "Only lists or tuples of equal length can be compared!" )
 
  else:
    Logging_error( "Only numbers can be compared!" )
 
  return result
 
# ----------------------------------------------------------------------------------------------}}}-
 
# -- def compareFloatLessThan ------------------------------------------------------------------{{{-
 
def compareFloatLessThan ( a, b ):
  result = False
  if ( _areInstancesOfNumber( a, b ) ):
    result = _isLessThan( a, b )
 
  elif ( _areOfTypeListOrTuple( a, b ) ):
    if ( _haveEqualLength( a, b ) ):
      for i in range( 0, len( a ) ):
        result = compareFloatLessThan ( a[i], b[i] )
        if ( not result ):
          break
 
    else:
      Logging_error( "Only lists or tuples of equal length can be compared!" )
 
  else:
    Logging_error( "Only numbers can be compared!" )
 
  return result
 
# ----------------------------------------------------------------------------------------------}}}-
 
# -- def compareFloatLessThanOrEqual -----------------------------------------------------------{{{-
 
def compareFloatLessThanOrEqual ( a, b, epsilon = 0.0001 ):
  return ( compareFloatLessThan( a, b ) or compareFloatEqual( a, b, epsilon ) )
 
# ----------------------------------------------------------------------------------------------}}}-
 
from .Logging import error as Logging_error, warning as Logging_warning, info as Logging_info