import numpy
try:
    import scipy.sparse
    imported_scipy = True
except ImportError:
    imported_scipy = False

import theano
from theano import gof


def _is_sparse(x):
    """
    @rtype: boolean
    @return: True iff x is a L{scipy.sparse.spmatrix} (and not a
    L{numpy.ndarray})
    """
    if not isinstance(x, (scipy.sparse.spmatrix, numpy.ndarray, tuple, list)):
        raise NotImplementedError("this function should only be called on "
                                  "sparse.scipy.sparse.spmatrix or "
                                  "numpy.ndarray, not,", x)
    return isinstance(x, scipy.sparse.spmatrix)


class SparseType(gof.Type):
    """
    @type dtype: numpy dtype string such as 'int64' or 'float64' (among others)
    @type format: string
    @ivar format: The sparse storage strategy.

    @note As far as I can tell, L{scipy.sparse} objects must be matrices, i.e.
    have dimension 2.
    """
    if imported_scipy:
        format_cls = {'csr': scipy.sparse.csr_matrix,
                      'csc': scipy.sparse.csc_matrix}
    dtype_set = set(['int8', 'int16', 'int32', 'int64', 'float32',
                     'uint8', 'uint16', 'uint32', 'uint64',
                     'float64', 'complex64', 'complex128'])
    ndim = 2

    # Will be set to SparseVariable SparseConstant later.
    Variable = None
    Constant = None

    def __init__(self, format, dtype):
        """
        Fundamental way to create a sparse node.
        @param dtype:   Type of numbers in the matrix.
        @param format:  The sparse storage strategy.
        @return         An empty SparseVariable instance.
        """
        if not imported_scipy:
            raise Exception("You can't make SparseType object as SciPy"
                            " is not available.")
        dtype = str(dtype)
        if dtype in self.dtype_set:
            self.dtype = dtype
        else:
            raise NotImplementedError('unsupported dtype "%s" not in list' %
                                      dtype, list(self.dtype_set))

        assert isinstance(format, basestring)
        if format in self.format_cls:
            self.format = format
        else:
            raise NotImplementedError('unsupported format "%s" not in list' %
                                      format, self.format_cls.keys())

    def filter(self, value, strict=False, allow_downcast=None):
        if isinstance(value, self.format_cls[self.format])\
                and value.dtype == self.dtype:
            return value
        if strict:
            raise TypeError("%s is not sparse, or not the right dtype (is %s, "
                            "expected %s)" % (value, value.dtype, self.dtype))
        # The input format could be converted here
        if allow_downcast:
            sp = self.format_cls[self.format](value, dtype=self.dtype)
        else:
            sp = self.format_cls[self.format](value)
            if str(sp.dtype) != self.dtype:
                raise NotImplementedError("Expected %s dtype but got %s" %
                                          (self.dtype, str(sp.dtype)))
        if sp.format != self.format:
            raise NotImplementedError()
        return sp

    @staticmethod
    def may_share_memory(a, b):
        # This is Fred suggestion for a quick and dirty way of checking
        # aliasing .. this can potentially be further refined (ticket #374)
        if _is_sparse(a) and _is_sparse(b):
            return (SparseType.may_share_memory(a, b.data) or
                    SparseType.may_share_memory(a, b.indices) or
                    SparseType.may_share_memory(a, b.indptr))
        if _is_sparse(b) and isinstance(a, numpy.ndarray):
            a, b = b, a
        if _is_sparse(a) and isinstance(b, numpy.ndarray):
            if (numpy.may_share_memory(a.data, b) or
                numpy.may_share_memory(a.indices, b) or
                numpy.may_share_memory(a.indptr, b)):
                # currently we can't share memory with a.shape as it is a tuple
                return True
        return False

    def make_variable(self, name=None):
        return self.Variable(self, name=name)

    def __eq__(self, other):
        return (type(self) == type(other) and other.dtype == self.dtype and
                other.format == self.format)

    def __hash__(self):
        return hash(self.dtype) ^ hash(self.format)

    def __str__(self):
        return "Sparse[%s, %s]" % (str(self.dtype), str(self.format))

    def __repr__(self):
        return "Sparse[%s, %s]" % (str(self.dtype), str(self.format))

    def values_eq_approx(self, a, b, eps=1e-6):
        # WARNING: equality comparison of sparse matrices is not fast or easy
        # we definitely do not want to be doing this un-necessarily during
        # a FAST_RUN computation..
        if not scipy.sparse.issparse(a) or not scipy.sparse.issparse(b):
            return False
        diff = abs(a - b)
        if diff.nnz == 0:
            return True
        # Built-in max from python is not implemented for sparse matrix as a
        # reduction. It returns a sparse matrix wich cannot be compared to a
        # scalar. When comparing sparse to scalar, no exceptions is raised and
        # the returning value is not consistent. That is why it is apply to a
        # numpy.ndarray.
        return max(diff.data) < eps

    def values_eq(self, a, b):
        # WARNING: equality comparison of sparse matrices is not fast or easy
        # we definitely do not want to be doing this un-necessarily during
        # a FAST_RUN computation..
        return scipy.sparse.issparse(a) \
                and scipy.sparse.issparse(b) \
                and abs(a - b).sum() == 0.0

    def is_valid_value(self, a):
        return scipy.sparse.issparse(a) and (a.format == self.format)

    def get_shape_info(self, obj):
        obj = self.filter(obj)
        assert obj.indices.dtype == 'int32'
        assert obj.indptr.dtype == 'int32'
        return (obj.shape, obj.data.size,
                obj.indices.size, obj.indptr.size, obj.nnz)

    def get_size(self, shape_info):
        return (shape_info[1] * numpy.dtype(self.dtype).itemsize +
                (shape_info[2] + shape_info[3]) * numpy.dtype('int32').itemsize)

# Register SparseType's C code for ViewOp.
theano.compile.register_view_op_c_code(
        SparseType,
        """
        Py_XDECREF(%(oname)s);
        %(oname)s = %(iname)s;
        Py_XINCREF(%(oname)s);
        """,
        1)
