from __future__ import print_function, division

from sympy.core import Basic, Integer, Tuple, Dict
from sympy.core.sympify import converter as sympify_converter

from sympy.matrices.matrices import MatrixBase
from sympy.matrices.dense import DenseMatrix
from sympy.matrices.sparse import SparseMatrix, MutableSparseMatrix
from sympy.matrices.expressions import MatrixExpr


def sympify_matrix(arg):
    return ImmutableMatrix(arg)
sympify_converter[MatrixBase] = sympify_matrix

class ImmutableMatrix(MatrixExpr, DenseMatrix):
    """Create an immutable version of a matrix.

    Examples
    ========

    >>> from sympy import eye
    >>> from sympy.matrices import ImmutableMatrix
    >>> ImmutableMatrix(eye(3))
    Matrix([
    [1, 0, 0],
    [0, 1, 0],
    [0, 0, 1]])
    >>> _[0, 0] = 42
    Traceback (most recent call last):
    ...
    TypeError: Cannot set values of ImmutableDenseMatrix
    """

    _class_priority = 8

    @classmethod
    def _new(cls, *args, **kwargs):
        if len(args) == 1 and isinstance(args[0], ImmutableMatrix):
            return args[0]
        rows, cols, flat_list = cls._handle_creation_inputs(*args, **kwargs)
        rows = Integer(rows)
        cols = Integer(cols)
        mat = Tuple(*flat_list)
        return Basic.__new__(cls, rows, cols, mat)

    def __new__(cls, *args, **kwargs):
        return cls._new(*args, **kwargs)

    @property
    def shape(self):
        return tuple([int(i) for i in self.args[:2]])

    @property
    def _mat(self):
        return list(self.args[2])

    def _entry(self, i, j):
        return DenseMatrix.__getitem__(self, (i, j))

    __getitem__ = DenseMatrix.__getitem__

    def __setitem__(self, *args):
        raise TypeError("Cannot set values of ImmutableMatrix")

    adjoint = MatrixBase.adjoint
    conjugate = MatrixBase.conjugate
    # C and T are defined in MatrixExpr...I don't know why C alone
    # needs to be defined here
    C = MatrixBase.C

    as_mutable = DenseMatrix.as_mutable
    _eval_trace = DenseMatrix._eval_trace
    _eval_transpose = DenseMatrix._eval_transpose
    _eval_conjugate = DenseMatrix._eval_conjugate
    _eval_adjoint = DenseMatrix._eval_adjoint
    _eval_inverse = DenseMatrix._eval_inverse
    _eval_simplify = DenseMatrix._eval_simplify

    equals = DenseMatrix.equals
    is_Identity = DenseMatrix.is_Identity

    __add__ = MatrixBase.__add__
    __radd__ = MatrixBase.__radd__
    __mul__ = MatrixBase.__mul__
    __rmul__ = MatrixBase.__rmul__
    __pow__ = MatrixBase.__pow__
    __sub__ = MatrixBase.__sub__
    __rsub__ = MatrixBase.__rsub__
    __neg__ = MatrixBase.__neg__
    __div__ = MatrixBase.__div__
    __truediv__ = MatrixBase.__truediv__
# This is included after the class definition as a workaround for issue 4114.
# See http://code.google.com/p/sympy/issues/detail?id=4114
ImmutableMatrix.is_zero = DenseMatrix.is_zero


class ImmutableSparseMatrix(Basic, SparseMatrix):
    """Create an immutable version of a sparse matrix.

    Examples
    ========

    >>> from sympy import eye
    >>> from sympy.matrices.immutable import ImmutableSparseMatrix
    >>> ImmutableSparseMatrix(1, 1, {})
    Matrix([[0]])
    >>> ImmutableSparseMatrix(eye(3))
    Matrix([
    [1, 0, 0],
    [0, 1, 0],
    [0, 0, 1]])
    >>> _[0, 0] = 42
    Traceback (most recent call last):
    ...
    TypeError: Cannot set values of ImmutableSparseMatrix
    >>> _.shape
    (3, 3)
    """

    _class_priority = 9

    @classmethod
    def _new(cls, *args, **kwargs):
        s = MutableSparseMatrix(*args)
        rows = Integer(s.rows)
        cols = Integer(s.cols)
        mat = Dict(s._smat)
        obj = Basic.__new__(cls, rows, cols, mat)
        obj.rows = s.rows
        obj.cols = s.cols
        obj._smat = s._smat
        return obj

    def __new__(cls, *args, **kwargs):
        return cls._new(*args, **kwargs)

    def __setitem__(self, *args):
        raise TypeError("Cannot set values of ImmutableSparseMatrix")

    subs = MatrixBase.subs

    def __hash__(self):
        return hash((type(self).__name__,) + (self.shape, tuple(self._smat)))
