from __future__ import division

__copyright__ = "Copyright (C) 2011 Andreas Kloeckner"

__license__ = """
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
"""

from pytools import memoize_method
import numpy as np




def f_contiguous_strides(itemsize, shape):
    if shape:
        strides = [itemsize]
        for s in shape[:-1]:
            strides.append(strides[-1]*s)
        return tuple(strides)
    else:
        return ()

def c_contiguous_strides(itemsize, shape):
    if shape:
        strides = [itemsize]
        for s in shape[:0:-1]:
            strides.append(strides[-1]*s)
        return tuple(strides[::-1])
    else:
        return ()




class ArrayFlags:
    def __init__(self, ary):
        self.f_contiguous = (
                ary.strides == f_contiguous_strides(
                    ary.dtype.itemsize, ary.shape))
        self.c_contiguous = (
                ary.strides == c_contiguous_strides(
                ary.dtype.itemsize, ary.shape))

        self.forc = self.f_contiguous or self.c_contiguous




def get_common_dtype(obj1, obj2, allow_double):
    # Yes, numpy behaves differently depending on whether
    # we're dealing with arrays or scalars.

    zero1 = np.zeros(1, dtype=obj1.dtype)

    try:
        zero2 = np.zeros(1, dtype=obj2.dtype)
    except AttributeError:
        zero2 = obj2

    result = (zero1 + zero2).dtype

    if not allow_double:
        if result == np.float64:
            result = np.dtype(np.float32)
        elif result == np.complex128:
            result = np.dtype(np.complex64)

    return result



def bound(a):
    high = a.bytes
    low = a.bytes

    for stri, shp in zip(a.strides, a.shape):
        if stri<0:
            low += (stri)*(shp-1)
        else:
            high += (stri)*(shp-1)
    return low, high

def may_share_memory(a, b):
    # When this is called with a an ndarray and b
    # a sparse matrix, numpy.may_share_memory fails.
    if a is b:
        return True
    if a.__class__ is b.__class__:
        a_l, a_h = bound(a)
        b_l, b_h = bound(b)
        if b_l >= a_h or a_l >= b_h:
            return False
        return True
    else:
        return False


# {{{ as_strided implementation

# stolen from numpy to be compatible with older versions of numpy

class _DummyArray(object):
    """ Dummy object that just exists to hang __array_interface__ dictionaries
    and possibly keep alive a reference to a base array.
    """
    def __init__(self, interface, base=None):
        self.__array_interface__ = interface
        self.base = base

def as_strided(x, shape=None, strides=None):
    """ Make an ndarray from the given array with the given shape and strides.
    """
    # work around Numpy bug 1873 (reported by Irwin Zaid)
    # Since this is stolen from numpy, this implementation has the same bug.
    # http://projects.scipy.org/numpy/ticket/1873

    if not x.dtype.isbuiltin:
        if (shape is None or x.shape == shape) and \
                (strides is None or x.strides == strides):
            return x

        if shape is None:
            shape = x.shape
        strides = tuple(strides)

        from pytools import product
        if strides is not None and shape is not None \
                and product(shape) == product(x.shape) \
                and x.flags.forc:
            # Workaround: If we're being asked to do what amounts to a
            # contiguous reshape, at least do that.

            if strides == f_contiguous_strides(x.dtype.itemsize, shape):
                # **dict is a workaround for Python 2.5 syntax.
                result = x.reshape(-1).reshape(*shape, **dict(order="F"))
                assert result.strides == strides
                return result
            elif strides == c_contiguous_strides(x.dtype.itemsize, shape):
                # **dict is a workaround for Python 2.5 syntax.
                result = x.reshape(-1).reshape(*shape, **dict(order="C"))
                assert result.strides == strides
                return result

        raise NotImplementedError(
                "as_strided won't work on non-builtin arrays for now. "
                "See http://projects.scipy.org/numpy/ticket/1873")

    interface = dict(x.__array_interface__)
    if shape is not None:
        interface['shape'] = tuple(shape)
    if strides is not None:
        interface['strides'] = tuple(strides)
    return np.asarray(_DummyArray(interface, base=x))

# }}}
