#!/usr/bin/env python3
import math
import os
import sys

from PyPDF2 import PdfFileReader, PdfFileWriter



class AfMatrix:
    """ A matrix of a 2D affine transform. """

    __slots__ = ('__a', '__b', '__c', '__d', '__e', '__f')

    def __init__(self, a, b, c, d, e, f):
        self.__a = float(a)
        self.__b = float(b)
        self.__c = float(c)
        self.__d = float(d)
        self.__e = float(e)
        self.__f = float(f)

    def __iter__(self):
        yield self.__a
        yield self.__b
        yield self.__c
        yield self.__d
        yield self.__e
        yield self.__f

    def __hash__(self):
        return hash(tuple(self))

    def __eq__(self, other):
        return tuple(self) == tuple(other)

    @classmethod
    def compose(cls, *what):
        a, b, c, d, e, f = (
            1, 0,
            0, 1,
            0, 0,
        )

        for rhs in what:
            A, B, C, D, E, F = rhs
            a, b, c, d, e, f = (
                a * A + b * C,
                a * B + b * D,
                c * A + d * C,
                c * B + d * D,
                e * A + f * C + E,
                e * B + f * D + F,
            )

        return cls(
            a, b,
            c, d,
            e, f
        )

    @classmethod
    def translate(cls, x=0, y=0):
        return cls(
            1, 0,
            0, 1,
            x, y
        )

    def __takes_origin(func):
        def translated_func(cls, *args, origin=(0, 0), **kwargs):
            if origin == (0, 0):
                return func(cls, *args, **kwargs)
            return cls.compose(
                cls.translate(-origin[0], -origin[1]),
                func(cls, *args, **kwargs),
                cls.translate(origin[0], origin[1])
            )
        return translated_func

    @classmethod
    @__takes_origin
    def scale (cls, x=1, y=None):
        if y is None:
            y = x
        return cls(
            x, 0,
            0, y,
            0, 0
        )

    @classmethod
    @__takes_origin
    def rotate(cls, angle):
        from math import cos, sin, radians

        angle = radians(angle)
        C = cos(angle)
        S = sin(angle)

        return cls(
            C, -S,
            S,  C,
            0,  0
        )



def page_size (page):

    return (page.mediaBox.getWidth (), page.mediaBox.getHeight ())



def convert (reader, sheets_per_slice, num_blanks):

    writer = PdfFileWriter ()

    SIZE = page_size (reader.getPage (0))

    NUM_PAGES = reader.getNumPages ()

    PAGES_PER_SLICE = sheets_per_slice * 4

    MAX_PRODUCED_PAGES = NUM_PAGES + num_blanks + PAGES_PER_SLICE - 1

    NUM_SLICES = int (MAX_PRODUCED_PAGES / PAGES_PER_SLICE)

    def positive (x):
        if x >= 0 and x < NUM_PAGES:
            return x
        else:
            return None

    output_page_num = 0

    for i_slice in range (NUM_SLICES):

        print ("Slice {}/{} will read pages {} to {} of {}".format (
            i_slice + 1,
            NUM_SLICES,
            i_slice * PAGES_PER_SLICE - num_blanks,
            i_slice * PAGES_PER_SLICE + PAGES_PER_SLICE - num_blanks - 1,
            NUM_PAGES))

        O = i_slice * PAGES_PER_SLICE - num_blanks

        for s in range (sheets_per_slice * 2):

            # Positive is clockwise (!)
            angle = -90 if s%2 == 0 else +90

            out_page = writer.addBlankPage (*SIZE)

            i_bot = positive (O + sheets_per_slice * 2 - (s + 1))
            i_top = positive (O + sheets_per_slice * 2 + s)

            def get (i):
                p = reader.getPage (i)
                if page_size (p) != SIZE:
                    raise Exception ("Page {} has different size.".format (i+1))
                return p

            if i_bot is not None:
                out_page.mergeTransformedPage (
                    get (i_bot),
                    transform (angle, 0, SIZE))

            if i_top is not None:
                out_page.mergeTransformedPage (
                    get (i_top),
                    transform (angle, SIZE[1]/2, SIZE))

            print ("Output page {}:\n\tb: {}\n\tt: {}\n\ta: {}".format (
                output_page_num + 1,
                i_bot,
                i_top,
                angle))

            output_page_num += 1

    return writer



def transform (angle, y_offset, size):

    if angle < 0:
        offset = (size[0], y_offset)
    else:
        offset = (0, y_offset + size[1]/2)

    return AfMatrix.compose (
        # Rotate First
        AfMatrix.rotate (angle, origin=(size[0]/2,size[1]/2)),
        # Then shrink
        AfMatrix.scale (1 / math.sqrt (2)),
        # Then slide into position
        AfMatrix.translate (0, y_offset),
    )
#    angle = 10
#    return AfMatrix.translate (0, y_offset)

    return AfMatrix.compose (
        AfMatrix.rotate (angle, origin=(size[0]/2,size[1]/2)),
        AfMatrix.scale (1 / math.sqrt (2)),
        AfMatrix.translate (0, y_offset+size[1]/5),
    )
#        AfMatrix.translate (*offset))



def main ():

    sys.argv.pop (0) # script name

    try:

        num_blanks = 0

        if '--blanks' == sys.argv[0]:
            sys.argv.pop (0)
            num_blanks = int (sys.argv.pop (0))

        sheets_per_slice = sys.argv.pop (0)
        in_filename     = sys.argv.pop (0)
        out_filename    = sys.argv.pop (0)

        sheets_per_slice = int (sheets_per_slice)

        reader = PdfFileReader (in_filename)

        if os.path.exists (out_filename):

            print ("{} exists. Overwrite? y/n".format (out_filename))

            yn = sys.stdin.readline ()

            if yn[0] not in ('Y', 'y'):
                sys.exit (1)

        ostream = open (out_filename, 'wb')

    except Exception as e:

        print ("{}\nArguments: sheets_per_slice in_file out_file".format (e))

        sys.exit (1)

    try:
        writer = convert (reader, sheets_per_slice, num_blanks)
    except Exception as e:
        print ("Could not convert this document: {}".format (e))
        raise
        sys.exit (1)

    writer.write (ostream)

    ostream.close ()



if __name__ == '__main__':
    main ()