from calc import evaluator
from cmath import isinf

#-----------------------------------------------------------------------------
#
# Utility functions used in CAPA responsetypes
default_tolerance = '0.001%'


def compare_with_tolerance(student_complex, instructor_complex, tolerance=default_tolerance, relative_tolerance=False):
    """
    Compare student_complex to instructor_complex with maximum tolerance tolerance.

     - student_complex    :  student result (float complex number)
     - instructor_complex    :  instructor result (float complex number)
     - tolerance   :  float, or string (representing a float or a percentage)
     - relative_tolerance: bool, to explicitly use passed tolerance as relative

     Note: when a tolerance is a percentage (i.e. '10%'), it will compute that
     percentage of the instructor result and yield a number.

     If relative_tolerance is set to False, it will use that value and the
     instructor result to define the bounds of valid student result:
     instructor_complex = 10, tolerance = '10%' will give [9.0, 11.0].

     If relative_tolerance is set to True, it will use that value and both
     instructor result and student result to define the bounds of valid student
     result:
     instructor_complex = 10, student_complex = 20, tolerance = '10%' will give
     [8.0, 12.0].
     This is typically used internally to compare float, with a
     default_tolerance = '0.001%'.

     Default tolerance of 1e-3% is added to compare two floats for
     near-equality (to handle machine representation errors).
     Default tolerance is relative, as the acceptable difference between two
     floats depends on the magnitude of the floats.
     (http://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/)
     Examples:
        In [183]: 0.000016 - 1.6*10**-5
        Out[183]: -3.3881317890172014e-21
        In [212]: 1.9e24 - 1.9*10**24
        Out[212]: 268435456.0
    """
    if isinstance(tolerance, str):
        if tolerance == default_tolerance:
            relative_tolerance = True
        if tolerance.endswith('%'):
            tolerance = evaluator(dict(), dict(), tolerance[:-1]) * 0.01
            if not relative_tolerance:
                tolerance = tolerance * abs(instructor_complex)
        else:
            tolerance = evaluator(dict(), dict(), tolerance)

    if relative_tolerance:
        tolerance = tolerance * max(abs(student_complex), abs(instructor_complex))

    if isinf(student_complex) or isinf(instructor_complex):
        # If an input is infinite, we can end up with `abs(student_complex-instructor_complex)` and
        # `tolerance` both equal to infinity. Then, below we would have
        # `inf <= inf` which is a fail. Instead, compare directly.
        return student_complex == instructor_complex
    else:
        # v1 and v2 are, in general, complex numbers:
        # there are some notes about backward compatibility issue: see responsetypes.get_staff_ans()).
        return abs(student_complex - instructor_complex) <= tolerance


def contextualize_text(text, context):  # private
    """
    Takes a string with variables. E.g. $a+$b.
    Does a substitution of those variables from the context
    """
    if not text:
        return text
    for key in sorted(context, lambda x, y: cmp(len(y), len(x))):
        # TODO (vshnayder): This whole replacement thing is a big hack
        # right now--context contains not just the vars defined in the
        # program, but also e.g. a reference to the numpy module.
        # Should be a separate dict of variables that should be
        # replaced.
        if '$' + key in text:
            try:
                s = str(context[key])
            except UnicodeEncodeError:
                s = context[key].encode('utf8', errors='ignore')
            text = text.replace('$' + key, s)
    return text


def convert_files_to_filenames(answers):
    """
    Check for File objects in the dict of submitted answers,
        convert File objects to their filename (string)
    """
    new_answers = dict()
    for answer_id in answers.keys():
        answer = answers[answer_id]
        # Files are stored as a list, even if one file
        if is_list_of_files(answer):
            new_answers[answer_id] = [f.name for f in answer]
        else:
            new_answers[answer_id] = answers[answer_id]
    return new_answers


def is_list_of_files(files):
    return isinstance(files, list) and all(is_file(f) for f in files)


def is_file(file_to_test):
    """
    Duck typing to check if 'file_to_test' is a File object
    """
    return all(hasattr(file_to_test, method) for method in ['read', 'name'])


def find_with_default(node, path, default):
    """
    Look for a child of node using , and return its text if found.
    Otherwise returns default.

    Arguments:
       node: lxml node
       path: xpath search expression
       default: value to return if nothing found

    Returns:
       node.find(path).text if the find succeeds, default otherwise.

    """
    v = node.find(path)
    if v is not None:
        return v.text
    else:
        return default