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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def evaluate(ex, local_dict=None, global_dict=None, out=None, order='K', casting='safe', **kwargs):
 """Evaluate a simple array expression element-wise, using the new iterator. ex is a string forming an expression, like "2*a+3*b". The values for "a" and "b" will by default be taken from the calling function's frame (through use of sys._getframe()). Alternatively, they can be specifed using the 'local_dict' or 'global_dict' arguments. Parameters local_dict : dictionary, optional A dictionary that replaces the local operands in current frame. global_dict : dictionary, optional A dictionary that replaces the global operands in current frame. out : NumPy array, optional An existing array where the outcome is going to be stored. Care is required so that this array has the same shape and type than the actual outcome of the computation. Useful for avoiding unnecessary new array allocations. order : {'C', 'F', 'A', or 'K'}, optional Controls the iteration order for operands. 'C' means C order, 'F' means Fortran order, 'A' means 'F' order if all the arrays are Fortran contiguous, 'C' order otherwise, and 'K' means as close to the order the array elements appear in memory as possible. For efficient computations, typically 'K'eep order (the default) is desired. casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional Controls what kind of data casting may occur when making a copy or buffering. Setting this to 'unsafe' is not recommended, as it can adversely affect accumulations. * 'no' means the data types should not be cast at all. * 'equiv' means only byte-order changes are allowed. * 'safe' means only casts which can preserve values are allowed. * 'same_kind' means only safe casts or casts within a kind, like float64 to float32, are allowed. * 'unsafe' means any data conversions may be done. """

    global _numexpr_last
    if not isinstance(ex, (str, unicode)):
        raise ValueError("must specify expression as a string")
    # Get the names for this expression
    context = getContext(kwargs, frame_depth=1)
    expr_key = (ex, tuple(sorted(context.items())))
    if expr_key not in _names_cache:
        _names_cache[expr_key] = getExprNames(ex, context)
    names, ex_uses_vml = _names_cache[expr_key]
    arguments = getArguments(names, local_dict, global_dict)

    # Create a signature
    signature = [(name, getType(arg)) for (name, arg) in
                 zip(names, arguments)]

    # Look up numexpr if possible.
    numexpr_key = expr_key + (tuple(signature),)
    try:
        compiled_ex = _numexpr_cache[numexpr_key]
    except KeyError:
        compiled_ex = _numexpr_cache[numexpr_key] = NumExpr(ex, signature, **context)
    kwargs = {'out': out, 'order': order, 'casting': casting,
              'ex_uses_vml': ex_uses_vml}
    _numexpr_last = dict(ex=compiled_ex, argnames=names, kwargs=kwargs)
    with evaluate_lock:
        return compiled_ex(*arguments, **kwargs)