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