#!/usr/bin/python

import theano
from theano import gof, Op, tensor, Variable, Apply

import numpy
import __builtin__

class NeighbourhoodsFromImages(Op):
    def __init__(self, n_dims_before, dims_neighbourhoods,
                    strides=None, ignore_border=False, inverse=False):
        """
        This extracts neighbourhoods from "images", but in a
        dimension-generic manner.

        In the 2D case, this is similar to downsampling, but instead of reducing
        a group of 2x2 pixels (for example) to a single new pixel in the output,
        you place those 4 pixels in a row.

        For example, say you have this 2x4 image::

            [ [ 0.5, 0.6, 0.7, 0.8 ],
              [ 0.1, 0.2, 0.3, 0.4 ] ]

        and you want to extract 2x2 neighbourhoods. This op would then produce::

            [ [ [ 0.5, 0.6, 0.1, 0.2 ] ], # the first 2x2 group of pixels
              [ [ 0.7, 0.8, 0.3, 0.4 ] ] ] # the second one

        so think of a 2D downsampling where each pixel of the resulting array
        is replaced by an array containing the (flattened) pixels of the
        corresponding neighbourhood.

        If you provide a stack of 2D image, or multiple stacks, each image
        will be treated independently, and the first dimensions of the array
        will be preserved as such.

        This also makes sense in the 1D or 3D case. Below I'll still be calling
        those "images", by analogy.

        In the 1D case, you're
        extracting subsequences from the original sequence. In the 3D case,
        you're extracting cuboids. If you ever find a 4D use, tell me! It
        should be possible, anyhow.

        Parameters
        ----------
        n_dims_before : int
            Number of dimensions preceding the "images".
        dims_neighbourhoods : tuple of ints
            Exact shape of windows to be extracted (e.g. (2,2) in the case above).
            n_dims_before + len(dims_neighbourhoods) should be equal to the
            number of dimensions in the input given to the op.
        strides : tuple of int
            Number of elements to skip when moving to the next neighbourhood,
            for each dimension of dims_neighbourhoods. There can be overlap
            between neighbourhoods, or gaps.
        ignore_border : bool
            If the dimensions of the neighbourhoods don't exactly divide the
            dimensions of the "images", you can either fill the last
            neighbourhood with zeros (False) or drop it entirely (True).
        inverse : bool
            You shouldn't have to use this. Only used by child class
            ImagesFromNeighbourhoods which simply reverses the assignment.
        """
        self.n_dims_before = n_dims_before
        self.dims_neighbourhoods = dims_neighbourhoods
        if not strides is None:
            self.strides = strides
        else:
            self.strides = dims_neighbourhoods
        self.ignore_border = ignore_border

        self.inverse = inverse

        self.code_string, self.code = self.make_py_code()

    def _compute_neigh_strides(self):
        neigh_strides = [1 for i in range(len(self.strides))]
        cur_stride = 1
        for i in range(len(self.strides)-1, -1, -1):
            neigh_strides[i] = cur_stride
            cur_stride *= self.dims_neighbourhoods[i]
        return neigh_strides

    def __eq__(self, other):
        return type(self) == type(other) and \
                self.n_dims_before == other.n_dims_before and \
                self.dims_neighbourhoods == other.dims_neighbourhoods and \
                self.strides == other.strides and \
                self.ignore_border == other.ignore_border

    def __hash__(self):
        return hash(type(self)) ^ \
                hash(self.n_dims_before) ^ \
                hash(self.dims_neighbourhoods) ^ \
                hash(self.strides) ^ \
                hash(self.ignore_border)

    def __str__(self):
        return '%s{%s,%s,%s,%s}' % \
                (self.__class__.__name__,
                 self.n_dims_before,
                 self.dims_neighbourhoods,
                 self.strides,
                 self.ignore_border)

    def out_shape(self, input_shape):
        dims = list(input_shape[:self.n_dims_before])
        num_strides = [0 for i in range(len(self.strides))]
        neigh_flattened_dim = 1
        for i, ds in enumerate(self.dims_neighbourhoods):
            cur_stride = self.strides[i]
            input_dim = input_shape[i + self.n_dims_before]
            target_dim = input_dim // cur_stride
            if not self.ignore_border and (input_dim % cur_stride) != 0:
                target_dim += 1
            num_strides[i] = target_dim
            dims.append(target_dim)
            neigh_flattened_dim *= ds

        dims.append(neigh_flattened_dim)

        return dims, num_strides

    # for inverse mode
    # "output" here actually referes to the Op's input shape (but it's inverse mode)
    def in_shape(self, output_shape):
        out_dims = list(output_shape[:self.n_dims_before])
        num_strides = []

        # in the inverse case we don't worry about borders:
        # they either have been filled with zeros, or have been cropped
        for i, ds in enumerate(self.dims_neighbourhoods):
            # the number of strides performed by NeighFromImg is
            # directly given by this shape
            num_strides.append(output_shape[self.n_dims_before + i])

            # our Op's output image must be at least this wide
            at_least_width = num_strides[i] * self.strides[i]

            # ... which gives us this number of neighbourhoods
            num_neigh = at_least_width // ds
            if at_least_width % ds != 0:
                num_neigh += 1

            # making the final Op's output dimension this wide
            out_dims.append(num_neigh * ds)

        return out_dims, num_strides

    def make_node(self, x):
        if self.inverse:
            # +1 in the inverse case
            if x.type.ndim != (self.n_dims_before + \
                            len(self.dims_neighbourhoods) + 1):
                raise TypeError()
        else:
            if x.type.ndim != (self.n_dims_before + \
                    len(self.dims_neighbourhoods)):
                raise TypeError()
        return gof.Apply(self, [x], [x.type()])

    def perform(self, node, inp, out):
        x, = inp
        z, = out
        if self.inverse:
            # +1 in the inverse case
            if len(x.shape) != (self.n_dims_before + \
                            len(self.dims_neighbourhoods) + 1):
                raise ValueError("Images passed as input don't match the "+\
                 "dimensions passed when this (inversed) Apply node was created")
            prod = 1
            for dim in self.dims_neighbourhoods:
                prod *= dim
            if x.shape[-1] != prod:
                raise ValueError(("Last dimension of neighbourhoods (%s) is not "+\
                        "the product of the neighbourhoods dimensions (%s)") % \
                         (str(x.shape[-1]), str(prod)))
        else:
            if len(x.shape) != (self.n_dims_before + \
                            len(self.dims_neighbourhoods)):
                raise ValueError("Images passed as input don't match the "+\
                        "dimensions passed when this Apply node was created")

        if self.inverse:
            input_shape, num_strides = self.in_shape(x.shape)
            out_shape, dummy = self.out_shape(input_shape)
        else:
            input_shape = x.shape
            out_shape, num_strides = self.out_shape(input_shape)

        neigh_strides = self._compute_neigh_strides()

        if z[0] is None:
            if self.inverse:
                z[0] = numpy.zeros(input_shape)
            else:
                z[0] = numpy.zeros(out_shape)
            z[0] = theano._asarray(z[0], dtype=x.dtype)

        exec(self.code)

    def make_py_code(self):
        code = self._py_outerloops()
        for i in xrange(len(self.strides)):
            code += self._py_innerloop(i)
        code += self._py_assignment()
        return code, __builtin__.compile(code, '<string>', 'exec')

    def _py_outerloops(self):
        code_before = ""
        for dim_idx in xrange(self.n_dims_before):
            code_before += ('\t' * (dim_idx)) + \
                "for outer_idx_%d in xrange(input_shape[%d]):\n" % \
                (dim_idx, dim_idx)
        return code_before

    def _py_innerloop(self, inner_dim_no):
        base_indent = ('\t' * (self.n_dims_before + inner_dim_no*2))
        code_before = base_indent + \
                "for stride_idx_%d in xrange(num_strides[%d]):\n" % \
                    (inner_dim_no,inner_dim_no)
        base_indent += '\t'
        code_before += base_indent + \
                "dim_%d_offset = stride_idx_%d * self.strides[%d]\n" %\
                         (inner_dim_no, inner_dim_no, inner_dim_no)
        code_before += base_indent + \
                "max_neigh_idx_%d = input_shape[%d] - dim_%d_offset\n" %\
                 (inner_dim_no,
                    self.n_dims_before+inner_dim_no, inner_dim_no)
        code_before += base_indent + \
                ("for neigh_idx_%d in xrange(min(max_neigh_idx_%d,"\
                +" self.dims_neighbourhoods[%d])):\n") % \
                    (inner_dim_no, inner_dim_no, inner_dim_no)

        return code_before

    def _py_flattened_idx(self):
        return "+".join(["neigh_strides[%d]*neigh_idx_%d" % (i,i) \
                    for i in range(len(self.strides))])

    def _py_assignment(self):
        input_idx = "".join(["outer_idx_%d," % (i,) \
                    for i in xrange(self.n_dims_before)])
        input_idx += "".join(["dim_%d_offset+neigh_idx_%d," % \
                    (i,i) for i in range(len(self.strides))])
        out_idx = "".join(\
                ["outer_idx_%d," % (i,) for i in \
                        range(self.n_dims_before)] + \
                ["stride_idx_%d," % (i,) for i in \
                        range(len(self.strides))])
        out_idx += self._py_flattened_idx()

        #return_val = '\t' * (self.n_dims_before + len(self.strides)*2)
        #return_val += "print "+input_idx+"'\\n',"+out_idx+"\n"

        return_val = '\t' * (self.n_dims_before + len(self.strides)*2)

        if self.inverse:
            # remember z and x are inversed:
            # z is the Op's output, but has input_shape
            # x is the Op's input, but has out_shape
            return_val += "z[0][%s] = x[%s]\n" % (input_idx, out_idx)
        else:
            return_val += "z[0][%s] = x[%s]\n" % (out_idx, input_idx)

        return return_val

class ImagesFromNeighbourhoods(NeighbourhoodsFromImages):
    def __init__(self, n_dims_before, dims_neighbourhoods,
                        strides=None, ignore_border=False):
        NeighbourhoodsFromImages.__init__(self,n_dims_before, dims_neighbourhoods,
                                strides=strides, ignore_border=ignore_border,
                                inverse=True)
        # and that's all there is to it

