+++ /dev/null
-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 36,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "import collections\n",
- "import random\n",
- "import string\n",
- "import itertools"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 37,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "Link = collections.namedtuple('Link', 'height left right')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 38,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def link_ends(link):\n",
- " return set((link.left, link.right))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 39,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def can_add(link, links):\n",
- " ends = link_ends(link)\n",
- " same_height_links = [l for l in links if l.height == link.height]\n",
- " return all(ends.isdisjoint(link_ends(l)) for l in same_height_links)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 40,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def make_net(num_links, lines=10, height=50):\n",
- " links = set()\n",
- " while len(links) < num_links:\n",
- " a = random.randrange(lines)\n",
- " b = random.randrange(lines)\n",
- " if a != b:\n",
- " l = min(a, b)\n",
- " r = max(a, b)\n",
- " h = random.randrange(height)\n",
- " link = Link(h, l, r)\n",
- " if can_add(link, links):\n",
- " links.add(link)\n",
- " return links"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 41,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "{Link(height=4, left=0, right=3),\n",
- " Link(height=8, left=1, right=5),\n",
- " Link(height=16, left=0, right=4),\n",
- " Link(height=17, left=1, right=5),\n",
- " Link(height=18, left=3, right=5),\n",
- " Link(height=20, left=0, right=1),\n",
- " Link(height=25, left=0, right=3),\n",
- " Link(height=30, left=1, right=4),\n",
- " Link(height=33, left=0, right=4),\n",
- " Link(height=34, left=4, right=5),\n",
- " Link(height=35, left=0, right=3),\n",
- " Link(height=36, left=1, right=4),\n",
- " Link(height=37, left=2, right=5),\n",
- " Link(height=45, left=4, right=5),\n",
- " Link(height=46, left=2, right=5)}"
- ]
- },
- "execution_count": 41,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "net = make_net(15, lines=6)\n",
- "net"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 42,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def follow(initial_line, links):\n",
- " line = initial_line\n",
- " heights = sorted(set(l.height for l in links))\n",
- " for h in heights:\n",
- " for l in [l for l in links if l.height == h]:\n",
- " if line in link_ends(l):\n",
- " line = [e for e in link_ends(l) if e != line][0]\n",
- "# print(l, line)\n",
- " return line"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 43,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "3"
- ]
- },
- "execution_count": 43,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "follow(4, net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 44,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def pack(net):\n",
- " packed_links = []\n",
- " line_heights = collections.defaultdict(lambda: -1)\n",
- " for link in sorted(net):\n",
- " link_height = max(line_heights[link.left], line_heights[link.right]) + 1\n",
- " line_heights[link.left] = link_height\n",
- " line_heights[link.right] = link_height\n",
- " packed_links += [Link(link_height, link.left, link.right)]\n",
- " return sorted(packed_links)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 45,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def follow_many_slow(in_sequence, links):\n",
- " out_sequence = [(follow(i, links), term) \n",
- " for i, term in enumerate(in_sequence)]\n",
- " return [term for i, term in sorted(out_sequence)]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 46,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def follow_many(in_sequence, net):\n",
- " height_groups = [list(g) for _, g in itertools.groupby(pack(net), lambda l: l.height)]\n",
- " seq = list(in_sequence)\n",
- " for links in height_groups:\n",
- " for link in links:\n",
- "# l = seq[link.left]\n",
- "# r = seq[link.right]\n",
- "# seq[link.right] = l\n",
- "# seq[link.left] = r\n",
- " seq[link.right], seq[link.left] = seq[link.left], seq[link.right]\n",
- " return seq"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 47,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "10000 loops, best of 3: 39.2 µs per loop\n"
- ]
- }
- ],
- "source": [
- "%%timeit\n",
- "follow_many('abcdef', net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 48,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "# %%timeit\n",
- "# follow_many_slow('abcdefghij', net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 49,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def show_net(links, randomise=False, pair_sep=', '):\n",
- " if randomise:\n",
- " output = []\n",
- " heights = sorted(set(l.height for l in links))\n",
- " for h in heights:\n",
- " ls = [l for l in links if l.height == h]\n",
- " random.shuffle(ls)\n",
- " output += ['({}, {})'.format(l.left, l.right) for l in ls]\n",
- " return pair_sep.join(output)\n",
- " return pair_sep.join('({}, {})'.format(l.left, l.right) for l in sorted(links))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 50,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'(0, 3), (1, 5), (0, 4), (1, 5), (3, 5), (0, 1), (0, 3), (1, 4), (0, 4), (4, 5), (0, 3), (1, 4), (2, 5), (4, 5), (2, 5)'"
- ]
- },
- "execution_count": 50,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "show_net(net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 51,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'(0, 3), (1, 5), (0, 4), (1, 5), (3, 5), (0, 1), (0, 3), (1, 4), (0, 4), (4, 5), (0, 3), (1, 4), (2, 5), (4, 5), (2, 5)'"
- ]
- },
- "execution_count": 51,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "show_net(net, randomise=True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 52,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'(0, 3) : (1, 5) : (0, 4) : (1, 5) : (3, 5) : (0, 1) : (0, 3) : (1, 4) : (0, 4) : (4, 5) : (0, 3) : (1, 4) : (2, 5) : (4, 5) : (2, 5)'"
- ]
- },
- "execution_count": 52,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "show_net(net, pair_sep=' : ')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 53,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'(0, 3)\\n(1, 5)\\n(0, 4)\\n(1, 5)\\n(3, 5)\\n(0, 1)\\n(0, 3)\\n(1, 4)\\n(0, 4)\\n(4, 5)\\n(0, 3)\\n(1, 4)\\n(2, 5)\\n(4, 5)\\n(2, 5)'"
- ]
- },
- "execution_count": 53,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "show_net(net, pair_sep='\\n')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 54,
- "metadata": {
- "scrolled": true
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "(0, 3)\n",
- "(1, 5)\n",
- "(0, 4)\n",
- "(1, 5)\n",
- "(3, 5)\n",
- "(0, 1)\n",
- "(0, 3)\n",
- "(1, 4)\n",
- "(0, 4)\n",
- "(4, 5)\n",
- "(0, 3)\n",
- "(1, 4)\n",
- "(2, 5)\n",
- "(4, 5)\n",
- "(2, 5)\n"
- ]
- }
- ],
- "source": [
- "print(show_net(net, pair_sep='\\n'))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 55,
- "metadata": {},
- "outputs": [],
- "source": [
- "# open('04-small.txt', 'w').write(show_net(net))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 56,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'(0, 3), (1, 5), (0, 4), (1, 5), (3, 5), (0, 1), (0, 3), (1, 4), (0, 4), (4, 5), (0, 3), (1, 4), (2, 5), (4, 5), (2, 5)'"
- ]
- },
- "execution_count": 56,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "show_net(net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 57,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[]"
- ]
- },
- "execution_count": 57,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "ls = [l for l in net if l.height == 1]\n",
- "ls"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 58,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "random.shuffle(ls)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 59,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def read_net(net_string):\n",
- " return [Link(h, l, r) for h, (l, r) in enumerate(extract_pairs(net_string))]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 60,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def extract_pairs(net_string):\n",
- " return [[int(pi) for pi in p.split(', ')] for p in net_string[1:-1].split('), (')]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 61,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "net = read_net('(1, 5), (2, 4), (0, 2), (0, 4), (0, 1), (0, 2), (1, 5), (0, 3), (1, 2), (4, 5), (0, 5), (3, 5), (1, 4), (0, 1), (2, 3)')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 62,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=1, right=5),\n",
- " Link(height=1, left=2, right=4),\n",
- " Link(height=2, left=0, right=2),\n",
- " Link(height=3, left=0, right=4),\n",
- " Link(height=4, left=0, right=1),\n",
- " Link(height=5, left=0, right=2),\n",
- " Link(height=6, left=1, right=5),\n",
- " Link(height=7, left=0, right=3),\n",
- " Link(height=8, left=1, right=2),\n",
- " Link(height=9, left=4, right=5),\n",
- " Link(height=10, left=0, right=5),\n",
- " Link(height=11, left=3, right=5),\n",
- " Link(height=12, left=1, right=4),\n",
- " Link(height=13, left=0, right=1),\n",
- " Link(height=14, left=2, right=3)]"
- ]
- },
- "execution_count": 62,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "read_net(show_net(net))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 63,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=1, right=5),\n",
- " Link(height=0, left=2, right=4),\n",
- " Link(height=1, left=0, right=2),\n",
- " Link(height=2, left=0, right=4),\n",
- " Link(height=3, left=0, right=1),\n",
- " Link(height=4, left=0, right=2),\n",
- " Link(height=4, left=1, right=5),\n",
- " Link(height=5, left=0, right=3),\n",
- " Link(height=5, left=1, right=2),\n",
- " Link(height=5, left=4, right=5),\n",
- " Link(height=6, left=0, right=5),\n",
- " Link(height=6, left=1, right=4),\n",
- " Link(height=7, left=0, right=1),\n",
- " Link(height=7, left=3, right=5),\n",
- " Link(height=8, left=2, right=3)]"
- ]
- },
- "execution_count": 63,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "pack(net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 64,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=1, right=5),\n",
- " Link(height=0, left=2, right=4),\n",
- " Link(height=1, left=0, right=2),\n",
- " Link(height=2, left=0, right=4),\n",
- " Link(height=3, left=0, right=1),\n",
- " Link(height=4, left=0, right=2),\n",
- " Link(height=4, left=1, right=5),\n",
- " Link(height=5, left=0, right=3),\n",
- " Link(height=5, left=1, right=2),\n",
- " Link(height=5, left=4, right=5),\n",
- " Link(height=6, left=0, right=5),\n",
- " Link(height=6, left=1, right=4),\n",
- " Link(height=7, left=0, right=1),\n",
- " Link(height=7, left=3, right=5),\n",
- " Link(height=8, left=2, right=3)]"
- ]
- },
- "execution_count": 64,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "pack(read_net(show_net(net)))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 65,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(True, True)"
- ]
- },
- "execution_count": 65,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "pnet = pack(net)\n",
- "rrnet = read_net(show_net(net, randomise=True))\n",
- "rnet = read_net(show_net(net))\n",
- "rnet == rrnet, pack(rrnet) == pnet"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 66,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "lnet = make_net(10207, 26, 100000)\n",
- "plnet = pack(lnet)\n",
- "assert follow_many(string.ascii_lowercase, lnet) == follow_many(string.ascii_lowercase, plnet)\n",
- "# for i in range(204):\n",
- "# assert follow(i, lnet) == follow(i, plnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 67,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "rlnet = read_net(show_net(lnet))\n",
- "prlnet = pack(rlnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 68,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "2239"
- ]
- },
- "execution_count": 68,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "max(link.height for link in plnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 69,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "99989"
- ]
- },
- "execution_count": 69,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "max(link.height for link in lnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 70,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "10206"
- ]
- },
- "execution_count": 70,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "max(link.height for link in rlnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 71,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "2239"
- ]
- },
- "execution_count": 71,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "max(link.height for link in prlnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 72,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "assert follow_many(string.ascii_lowercase, lnet) == follow_many(string.ascii_lowercase, prlnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 73,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "10 loops, best of 3: 25.9 ms per loop\n"
- ]
- }
- ],
- "source": [
- "%%timeit\n",
- "follow_many(string.ascii_lowercase, lnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 74,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "# %%timeit\n",
- "# follow_many_slow(string.ascii_lowercase, lnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 75,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminable_pairs_slow(net):\n",
- " eps = []\n",
- " for l in net:\n",
- " o = Link(l.height + 1, l.left, l.right)\n",
- " if o in net:\n",
- " eps += [(l, o)]\n",
- " return eps "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 76,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminable_pairs(net):\n",
- " height_groups = {h: list(g) for h, g in itertools.groupby(pack(net), lambda l: l.height)}\n",
- " eps = []\n",
- " for h in range(1, max(height_groups.keys())):\n",
- " for l in height_groups[h]:\n",
- " o = Link(l.height - 1, l.left, l.right)\n",
- " if o in height_groups[h-1]:\n",
- " eps += [(l, o)]\n",
- " return eps"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 77,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "10 loops, best of 3: 24.1 ms per loop\n"
- ]
- }
- ],
- "source": [
- "%%timeit\n",
- "eliminable_pairs(plnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 78,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminable_pair(net):\n",
- " for l in net:\n",
- " o = Link(l.height + 1, l.left, l.right)\n",
- " if o in net:\n",
- " return l, o\n",
- " return None"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 79,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminable_pair_hg(height_groups):\n",
- " for h in range(1, max(height_groups.keys())):\n",
- " for l in height_groups[h]:\n",
- " o = Link(l.height - 1, l.left, l.right)\n",
- " if o in height_groups[h-1]:\n",
- " return l, o\n",
- " return None"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 80,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminate_pairs_slow(net):\n",
- " eliminable_links = eliminable_pair(net)\n",
- " while eliminable_links:\n",
- " net = pack(l for l in net if l not in eliminable_links)\n",
- " eliminable_links = eliminable_pair(net)\n",
- " return net"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 81,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminate_pairs(net):\n",
- " height_groups = {h: list(g) for h, g in itertools.groupby(pack(net), lambda l: l.height)}\n",
- " eliminable_links = eliminable_pair_hg(height_groups)\n",
- " while eliminable_links:\n",
- " net = pack(l for l in net if l not in eliminable_links)\n",
- " height_groups = {h: list(g) for h, g in itertools.groupby(pack(net), lambda l: l.height)}\n",
- " eliminable_links = eliminable_pair_hg(height_groups)\n",
- " return net"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 82,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "10207\n"
- ]
- },
- {
- "data": {
- "text/plain": [
- "(10207, 9813)"
- ]
- },
- "execution_count": 82,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "print(len(plnet))\n",
- "elnet = eliminate_pairs(plnet)\n",
- "len(plnet), len(elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 83,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[]"
- ]
- },
- "execution_count": 83,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "eliminable_pairs(elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 84,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "assert follow_many(string.ascii_lowercase, lnet) == follow_many(string.ascii_lowercase, elnet)\n",
- "assert follow_many(string.ascii_lowercase, plnet) == follow_many(string.ascii_lowercase, elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 85,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "1 loop, best of 3: 6.08 s per loop\n"
- ]
- }
- ],
- "source": [
- "%%timeit\n",
- "elnet = eliminate_pairs(plnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 86,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "# for i in range(26):\n",
- "# assert follow(i, plnet) == follow(i, elnet)\n",
- "# assert follow(i, lnet) == follow(i, elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 87,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "# follow(0, plnet), follow(0, elnet), follow(0, lnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 88,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def triple_slow(net):\n",
- " x = None\n",
- " y = None\n",
- " ts = []\n",
- " for a in net:\n",
- " bs = [l for l in net if l.height == a.height + 1 \n",
- " if l.left == a.right or l.right == a.left]\n",
- " for b in bs:\n",
- " c = Link(a.height + 2, a.left, a.right)\n",
- " if c in net:\n",
- " ts += [(a, b, c)]\n",
- " return ts"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 89,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def triple_pair_slow(net):\n",
- " ts = []\n",
- " for a in net:\n",
- " a_ends = link_ends(a)\n",
- " bs = [l for l in net if l.height == a.height + 1 \n",
- " if link_ends(l) & a_ends]\n",
- " if len(bs) == 1:\n",
- " b = bs[0]\n",
- " lines = set((a.left, a.right, b.left, b.right))\n",
- " cs = [l for l in net \n",
- " if l.height == a.height + 2\n",
- " if link_ends(l) & lines]\n",
- " if len(cs) == 1:\n",
- " c = Link(a.height + 2, a.left, a.right)\n",
- " if c in cs:\n",
- " ds = [l for l in net \n",
- " if l.height == a.height + 3\n",
- " if link_ends(l) & lines]\n",
- " d = Link(a.height + 3, b.left, b.right)\n",
- " if d in ds:\n",
- " ts += [(a, b, c, d)]\n",
- " return ts"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 90,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def find_height_groups(net):\n",
- " return {h: list(g) for h, g in itertools.groupby(pack(net), lambda l: l.height)}"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 91,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def triple_pair_hg(height_groups, debug=False):\n",
- " ts = []\n",
- " for h in range(3, max(height_groups.keys())):\n",
- " for d in height_groups[h]:\n",
- " if debug: print('d:', d)\n",
- " ch = h - 1\n",
- " cs = [l for l in height_groups[ch] if link_ends(l) & link_ends(d)]\n",
- " if debug: print('cs:', cs)\n",
- " while ch > 2 and not cs:\n",
- " ch -= 1\n",
- " cs = [l for l in height_groups[ch] if link_ends(l) & link_ends(d)]\n",
- " if debug: print('cs:', cs)\n",
- " if len(cs) == 1:\n",
- " c = cs[0]\n",
- " lines = set((d.left, d.right, c.left, c.right))\n",
- " if debug: print('c:', '; lines:', lines)\n",
- " bs = [l for l in height_groups[ch-1] if link_ends(l) & lines]\n",
- " b = Link(ch - 1, d.left, d.right)\n",
- " if debug: print('b:', b, '; bs:', bs)\n",
- " if len(bs) == 1 and b in bs:\n",
- " ah = b.height - 1\n",
- " als = [l for l in height_groups[ah] if link_ends(l) & link_ends(c)]\n",
- " if debug: print('ah:', ah, '; als:', als)\n",
- " while ah > 0 and not als:\n",
- " ah -= 1\n",
- " als = [l for l in height_groups[ah] if link_ends(l) & link_ends(c)]\n",
- " if debug: print('ah:', ah, '; als:', als)\n",
- " a = Link(ah, c.left, c.right)\n",
- " if debug: print('a:', a)\n",
- " if a in als:\n",
- " if debug: print('adding:', a, b, c, d)\n",
- " ts += [(a, b, c, d)]\n",
- " return ts"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 92,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminate_a_triple_pair_slow(net, debug=False):\n",
- " tps = triple_pair_slow(net)\n",
- " if debug: print('eatp', tps)\n",
- "\n",
- " if tps:\n",
- " a, b, c, d = tps[0]\n",
- "# x = Link(a.height, b.left, b.right)\n",
- "# y = Link(b.height, a.left, a.right)\n",
- " x = Link(b.height - 0.5, b.left, b.right)\n",
- " y = Link(b.height, a.left, a.right)\n",
- " if debug: print('removing', a, b, c, d, '; adding', x, y)\n",
- " return pack([l for l in net if l not in [a, b, c, d]] + [x, y])\n",
- " return None"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 93,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminate_a_triple_pair(net, debug=False):\n",
- " height_groups = find_height_groups(net)\n",
- "\n",
- " tps = triple_pair_hg(height_groups)\n",
- " if debug: print('eatp', tps)\n",
- " if tps:\n",
- " a, b, c, d = tps[0]\n",
- " x = Link(b.height - 0.5, b.left, b.right)\n",
- " y = Link(b.height, a.left, a.right)\n",
- " if debug: print('removing', a, b, c, d, '; adding', x, y)\n",
- " return pack([l for l in net if l not in [a, b, c, d]] + [x, y])\n",
- " return None"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 94,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[(Link(height=1126, left=8, right=17),\n",
- " Link(height=1127, left=1, right=8),\n",
- " Link(height=1128, left=8, right=17),\n",
- " Link(height=1129, left=1, right=8)),\n",
- " (Link(height=1952, left=12, right=25),\n",
- " Link(height=1953, left=10, right=12),\n",
- " Link(height=1954, left=12, right=25),\n",
- " Link(height=1955, left=10, right=12))]"
- ]
- },
- "execution_count": 94,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "height_groups = find_height_groups(elnet)\n",
- "triple_pair_hg(height_groups)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 95,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "10 loops, best of 3: 98.7 ms per loop\n"
- ]
- }
- ],
- "source": [
- "%%timeit\n",
- "height_groups = find_height_groups(elnet)\n",
- "triple_pair_hg(height_groups)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 96,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminate_triple_pairs_slow(net):\n",
- " print(len(net))\n",
- " new_net = eliminate_a_triple_pair_slow(net)\n",
- " while new_net:\n",
- " print(len(net))\n",
- " net = new_net\n",
- " new_net = eliminate_a_triple_pair_slow(net)\n",
- " return net"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 97,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def eliminate_triple_pairs(net):\n",
- " print(len(net))\n",
- " new_net = eliminate_a_triple_pair(net)\n",
- " while new_net:\n",
- " print(len(net))\n",
- " net = new_net\n",
- " new_net = eliminate_a_triple_pair(net)\n",
- " return net"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 98,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "etlnet = eliminate_a_triple_pair(elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 99,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "assert follow_many(string.ascii_lowercase, etlnet) == follow_many(string.ascii_lowercase, elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 100,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "9813\n",
- "9813\n",
- "9811\n"
- ]
- }
- ],
- "source": [
- "setlnet = eliminate_triple_pairs(elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 101,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "9809"
- ]
- },
- "execution_count": 101,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "len(setlnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 102,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "assert follow_many(string.ascii_lowercase, etlnet) == follow_many(string.ascii_lowercase, elnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 103,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'ypetfugkzdsacbvwjohqlnirmx'"
- ]
- },
- "execution_count": 103,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, etlnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 104,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'ypetfugkzdsacbvwjohqlnirmx'"
- ]
- },
- "execution_count": 104,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, setlnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 105,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'ypetfugkzdsacbvwjohqlnirmx'"
- ]
- },
- "execution_count": 105,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, elnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 106,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'ypetfugkzdsacbvwjohqlnirmx'"
- ]
- },
- "execution_count": 106,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, lnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 107,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[]"
- ]
- },
- "execution_count": 107,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "eliminable_pairs(etlnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 108,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(10207, 9811)"
- ]
- },
- "execution_count": 108,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "len(lnet), len(etlnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 109,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def simplify(net0):\n",
- " netp = eliminate_pairs(net0)\n",
- " new_net = eliminate_a_triple_pair(netp)\n",
- " while new_net:\n",
- "# print('sipl', len(net0), len(netp), len(new_net))\n",
- " netp = eliminate_pairs(new_net)\n",
- " new_net = eliminate_a_triple_pair(netp)\n",
- " return netp"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 110,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "simple_lnet = simplify(plnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 111,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "True"
- ]
- },
- "execution_count": 111,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, simple_lnet)) == ''.join(follow_many(string.ascii_lowercase, lnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 112,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'ypetfugkzdsacbvwjohqlnirmx'"
- ]
- },
- "execution_count": 112,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, simple_lnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 113,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'ypetfugkzdsacbvwjohqlnirmx'"
- ]
- },
- "execution_count": 113,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, lnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 114,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "9809"
- ]
- },
- "execution_count": 114,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "len(simple_lnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 115,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def add_triple_pair(net, max_lines=None, trace=False):\n",
- " if not max_lines:\n",
- " max_lines = max(l.right for l in net)\n",
- " a, b, c = 0, 0, 0\n",
- " while len(set((a, b, c))) != 3:\n",
- " a = random.randrange(max_lines)\n",
- " b = random.randrange(max_lines)\n",
- " c = random.randrange(max_lines)\n",
- " tp = [(min(a, b), max(a, b)), (min(b, c), max(b, c))] * 2\n",
- " \n",
- " pairs = [(l.left, l.right) for l in sorted(net)]\n",
- " i = random.randrange(len(pairs))\n",
- " if trace: print(i, tp)\n",
- " new_pairs = pairs[:i] + tp + pairs[i:]\n",
- " return pack([Link(h, l, r) for h, (l, r) in enumerate(new_pairs)]) "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 116,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def add_pair(net, max_lines=None, trace=False):\n",
- " if not max_lines:\n",
- " max_lines = max(l.right for l in net)\n",
- "\n",
- " a, b = 0, 0\n",
- " while a == b:\n",
- " a = random.randrange(max_lines)\n",
- " b = random.randrange(max_lines)\n",
- " p = [(min(a, b), max(a, b))] * 2\n",
- " \n",
- " pairs = [(l.left, l.right) for l in sorted(net)]\n",
- " i = random.randrange(len(pairs))\n",
- " \n",
- " if trace: print(i, p)\n",
- " new_pairs = pairs[:i] + p + pairs[i:]\n",
- " return pack([Link(h, l, r) for h, (l, r) in enumerate(new_pairs)]) "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 117,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[]"
- ]
- },
- "execution_count": 117,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "height_groups = {h: list(g) for h, g in itertools.groupby(pack(net), lambda l: l.height)}\n",
- "tps = triple_pair_hg(height_groups)\n",
- "tps"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 118,
- "metadata": {
- "scrolled": true
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[]"
- ]
- },
- "execution_count": 118,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "lnettp = simple_lnet\n",
- "for _ in range(10):\n",
- " lnettp = add_pair(lnettp)\n",
- "height_groups = {h: list(g) for h, g in itertools.groupby(pack(lnettp), lambda l: l.height)}\n",
- "tps = triple_pair_hg(height_groups)\n",
- "tps"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 119,
- "metadata": {
- "scrolled": true
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[(Link(height=301, left=7, right=23),\n",
- " Link(height=302, left=16, right=23),\n",
- " Link(height=303, left=7, right=23),\n",
- " Link(height=304, left=16, right=23)),\n",
- " (Link(height=362, left=11, right=23),\n",
- " Link(height=363, left=3, right=23),\n",
- " Link(height=364, left=11, right=23),\n",
- " Link(height=365, left=3, right=23)),\n",
- " (Link(height=363, left=3, right=23),\n",
- " Link(height=364, left=11, right=23),\n",
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- " Link(height=366, left=11, right=23)),\n",
- " (Link(height=595, left=12, right=15),\n",
- " Link(height=596, left=10, right=15),\n",
- " Link(height=597, left=12, right=15),\n",
- " Link(height=598, left=10, right=15)),\n",
- " (Link(height=796, left=12, right=21),\n",
- " Link(height=797, left=4, right=12),\n",
- " Link(height=798, left=12, right=21),\n",
- " Link(height=799, left=4, right=12)),\n",
- " (Link(height=879, left=0, right=18),\n",
- " Link(height=880, left=0, right=8),\n",
- " Link(height=881, left=0, right=18),\n",
- " Link(height=882, left=0, right=8)),\n",
- " (Link(height=930, left=3, right=17),\n",
- " Link(height=931, left=3, right=21),\n",
- " Link(height=932, left=3, right=17),\n",
- " Link(height=933, left=3, right=21)),\n",
- " (Link(height=1120, left=5, right=19),\n",
- " Link(height=1121, left=18, right=19),\n",
- " Link(height=1122, left=5, right=19),\n",
- " Link(height=1123, left=18, right=19)),\n",
- " (Link(height=2040, left=9, right=21),\n",
- " Link(height=2041, left=9, right=15),\n",
- " Link(height=2042, left=9, right=21),\n",
- " Link(height=2043, left=9, right=15)),\n",
- " (Link(height=2110, left=13, right=21),\n",
- " Link(height=2111, left=13, right=24),\n",
- " Link(height=2112, left=13, right=21),\n",
- " Link(height=2113, left=13, right=24))]"
- ]
- },
- "execution_count": 119,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "lnettp = simple_lnet\n",
- "for _ in range(10):\n",
- " lnettp = add_triple_pair(lnettp)\n",
- "height_groups = {h: list(g) for h, g in itertools.groupby(pack(lnettp), lambda l: l.height)}\n",
- "tps = triple_pair_hg(height_groups)\n",
- "tps"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 120,
- "metadata": {
- "scrolled": true
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
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- " (Link(height=54, left=2, right=24),\n",
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- " Link(height=56, left=2, right=24),\n",
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- " (Link(height=62, left=2, right=15),\n",
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- " (Link(height=160, left=12, right=13),\n",
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- " Link(height=162, left=12, right=13),\n",
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- " (Link(height=315, left=23, right=24),\n",
- " Link(height=320, left=20, right=23),\n",
- " Link(height=321, left=23, right=24),\n",
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- " (Link(height=324, left=3, right=18),\n",
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- " (Link(height=342, left=21, right=22),\n",
- " Link(height=345, left=1, right=22),\n",
- " Link(height=346, left=21, right=22),\n",
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- " Link(height=406, left=4, right=8),\n",
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- " (Link(height=468, left=11, right=22),\n",
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- " (Link(height=765, left=0, right=9),\n",
- " Link(height=766, left=0, right=14),\n",
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- " (Link(height=805, left=16, right=22),\n",
- " Link(height=806, left=0, right=16),\n",
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- " Link(height=808, left=0, right=16)),\n",
- " (Link(height=834, left=1, right=6),\n",
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- " Link(height=836, left=1, right=6),\n",
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- " Link(height=882, left=2, right=23),\n",
- " Link(height=883, left=2, right=12),\n",
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- " (Link(height=904, left=12, right=23),\n",
- " Link(height=905, left=12, right=14),\n",
- " Link(height=906, left=12, right=23),\n",
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- " Link(height=1319, left=4, right=12),\n",
- " Link(height=1320, left=12, right=23),\n",
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- " (Link(height=1341, left=17, right=22),\n",
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- " Link(height=1343, left=17, right=22),\n",
- " Link(height=1344, left=11, right=17)),\n",
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- " Link(height=1398, left=4, right=9),\n",
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- " (Link(height=1426, left=18, right=24),\n",
- " Link(height=1427, left=17, right=18),\n",
- " Link(height=1428, left=18, right=24),\n",
- " Link(height=1429, left=17, right=18)),\n",
- " (Link(height=1456, left=2, right=15),\n",
- " Link(height=1457, left=3, right=15),\n",
- " Link(height=1458, left=2, right=15),\n",
- " Link(height=1459, left=3, right=15)),\n",
- " (Link(height=1505, left=13, right=18),\n",
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- " Link(height=1507, left=13, right=18),\n",
- " Link(height=1508, left=13, right=21)),\n",
- " (Link(height=1551, left=10, right=12),\n",
- " Link(height=1552, left=4, right=12),\n",
- " Link(height=1553, left=10, right=12),\n",
- " Link(height=1554, left=4, right=12)),\n",
- " (Link(height=1622, left=4, right=11),\n",
- " Link(height=1623, left=11, right=16),\n",
- " Link(height=1624, left=4, right=11),\n",
- " Link(height=1625, left=11, right=16)),\n",
- " (Link(height=1653, left=8, right=24),\n",
- " Link(height=1654, left=4, right=8),\n",
- " Link(height=1655, left=8, right=24),\n",
- " Link(height=1656, left=4, right=8)),\n",
- " (Link(height=1688, left=0, right=5),\n",
- " Link(height=1689, left=0, right=23),\n",
- " Link(height=1690, left=0, right=5),\n",
- " Link(height=1691, left=0, right=23)),\n",
- " (Link(height=1724, left=10, right=23),\n",
- " Link(height=1725, left=10, right=11),\n",
- " Link(height=1726, left=10, right=23),\n",
- " Link(height=1727, left=10, right=11)),\n",
- " (Link(height=1863, left=1, right=12),\n",
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- " Link(height=1865, left=1, right=12),\n",
- " Link(height=1866, left=1, right=13)),\n",
- " (Link(height=1873, left=10, right=22),\n",
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- " Link(height=1875, left=10, right=22),\n",
- " Link(height=1876, left=10, right=15)),\n",
- " (Link(height=1879, left=18, right=20),\n",
- " Link(height=1880, left=17, right=20),\n",
- " Link(height=1881, left=18, right=20),\n",
- " Link(height=1882, left=17, right=20)),\n",
- " (Link(height=1916, left=18, right=19),\n",
- " Link(height=1917, left=7, right=18),\n",
- " Link(height=1918, left=18, right=19),\n",
- " Link(height=1919, left=7, right=18)),\n",
- " (Link(height=1961, left=11, right=20),\n",
- " Link(height=1962, left=7, right=20),\n",
- " Link(height=1963, left=11, right=20),\n",
- " Link(height=1964, left=7, right=20)),\n",
- " (Link(height=1962, left=9, right=18),\n",
- " Link(height=1963, left=18, right=19),\n",
- " Link(height=1964, left=9, right=18),\n",
- " Link(height=1965, left=18, right=19)),\n",
- " (Link(height=2031, left=3, right=6),\n",
- " Link(height=2032, left=3, right=4),\n",
- " Link(height=2033, left=3, right=6),\n",
- " Link(height=2034, left=3, right=4)),\n",
- " (Link(height=2077, left=2, right=9),\n",
- " Link(height=2078, left=2, right=23),\n",
- " Link(height=2079, left=2, right=9),\n",
- " Link(height=2080, left=2, right=23)),\n",
- " (Link(height=2165, left=1, right=8),\n",
- " Link(height=2166, left=4, right=8),\n",
- " Link(height=2167, left=1, right=8),\n",
- " Link(height=2168, left=4, right=8)),\n",
- " (Link(height=2185, left=6, right=21),\n",
- " Link(height=2186, left=11, right=21),\n",
- " Link(height=2187, left=6, right=21),\n",
- " Link(height=2188, left=11, right=21))]"
- ]
- },
- "execution_count": 120,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "lnettp = simple_lnet\n",
- "for _ in range(50):\n",
- " lnettp = add_pair(lnettp)\n",
- "for _ in range(50):\n",
- " lnettp = add_triple_pair(lnettp)\n",
- "height_groups = {h: list(g) for h, g in itertools.groupby(pack(lnettp), lambda l: l.height)}\n",
- "tps = triple_pair_hg(height_groups)\n",
- "tps"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 121,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "True"
- ]
- },
- "execution_count": 121,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "lnettp == pack(lnettp)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 122,
- "metadata": {
- "scrolled": true
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "9909"
- ]
- },
- "execution_count": 122,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "lnettps = simplify(lnettp)\n",
- "len(lnettps)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 123,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(9809, 10109, 9909)"
- ]
- },
- "execution_count": 123,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "len(simple_lnet), len(lnettp), len(lnettps)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 124,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "True"
- ]
- },
- "execution_count": 124,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, lnet)) == ''.join(follow_many(string.ascii_lowercase, simple_lnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 125,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "True"
- ]
- },
- "execution_count": 125,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, lnettps)) == ''.join(follow_many(string.ascii_lowercase, lnettp))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 126,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "2285"
- ]
- },
- "execution_count": 126,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "max(l.height for l in lnettp)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 127,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": [
- "def simplify_with_checks(net0):\n",
- " netp = eliminate_pairs(net0)\n",
- " if follow_many(string.ascii_lowercase, net0) != follow_many(string.ascii_lowercase, netp):\n",
- " print('pairs', eliminable_pairs(net0))\n",
- " return net0\n",
- " else:\n",
- " print('pairs ok')\n",
- " new_net = eliminate_a_triple_pair(netp)\n",
- " if new_net and follow_many(string.ascii_lowercase, new_net) != follow_many(string.ascii_lowercase, netp):\n",
- " hg = find_height_groups(netp)\n",
- " print('triple', triple_pair_hg(hg))\n",
- " return netp\n",
- " else:\n",
- " print('triple ok')\n",
- " while new_net:\n",
- "# print('sipl', len(net0), len(netp), len(new_net))\n",
- " netp = eliminate_pairs(new_net)\n",
- " if follow_many(string.ascii_lowercase, new_net) != follow_many(string.ascii_lowercase, netp):\n",
- " print('pairs', eliminable_pairs(new_net))\n",
- " return new_net\n",
- " else:\n",
- " print('pairs ok')\n",
- " new_net = eliminate_a_triple_pair(netp)\n",
- " if new_net and follow_many(string.ascii_lowercase, new_net) != follow_many(string.ascii_lowercase, netp):\n",
- " hg = find_height_groups(netp)\n",
- " print('triple', triple_pair_hg(hg))\n",
- " return netp\n",
- " else:\n",
- " print('triple ok')\n",
- " print('** done')\n",
- " return netp"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 128,
- "metadata": {
- "scrolled": true
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "pairs ok\n",
- "triple ok\n",
- "** done\n"
- ]
- }
- ],
- "source": [
- "lnettps = simplify_with_checks(lnettp)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 129,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "True"
- ]
- },
- "execution_count": 129,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, lnettps)) == ''.join(follow_many(string.ascii_lowercase, lnettp))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 130,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "10109"
- ]
- },
- "execution_count": 130,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "len(lnettp)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 131,
- "metadata": {},
- "outputs": [],
- "source": [
- "# open('04-lines.txt', 'w').write(show_net(lnettp, randomise=True, pair_sep='\\n'))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 114,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "139"
- ]
- },
- "execution_count": 114,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "# open('04-small.txt', 'w').write(show_net(make_net(20), randomise=True, pair_sep='\\n'))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 143,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "8 [(2, 4), (0, 4), (2, 4), (0, 4)]\n",
- "10 [(1, 2), (1, 2)]\n"
- ]
- },
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=2, right=5),\n",
- " Link(height=1, left=1, right=4),\n",
- " Link(height=2, left=0, right=3),\n",
- " Link(height=3, left=0, right=3),\n",
- " Link(height=4, left=0, right=5),\n",
- " Link(height=5, left=3, right=5),\n",
- " Link(height=6, left=0, right=2),\n",
- " Link(height=7, left=3, right=4),\n",
- " Link(height=8, left=2, right=4),\n",
- " Link(height=9, left=1, right=2),\n",
- " Link(height=10, left=0, right=4),\n",
- " Link(height=11, left=1, right=2),\n",
- " Link(height=12, left=2, right=4),\n",
- " Link(height=13, left=1, right=2),\n",
- " Link(height=14, left=0, right=4),\n",
- " Link(height=15, left=1, right=4)]"
- ]
- },
- "execution_count": 143,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "net = make_net(10, lines=6)\n",
- "net = add_triple_pair(net, trace=True)\n",
- "net = add_pair(net, trace=True)\n",
- "net = read_net(show_net(net, randomise=True))\n",
- "net"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 147,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'(2, 5), (1, 4), (0, 3), (0, 3), (0, 5), (3, 5), (0, 2), (3, 4), (2, 4), (1, 2), (0, 4), (1, 2), (2, 4), (1, 2), (0, 4), (1, 4)'"
- ]
- },
- "execution_count": 147,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "show_net(net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 149,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=2, right=5),\n",
- " Link(height=1, left=1, right=4),\n",
- " Link(height=2, left=0, right=3),\n",
- " Link(height=3, left=0, right=3),\n",
- " Link(height=4, left=0, right=5),\n",
- " Link(height=5, left=3, right=5),\n",
- " Link(height=6, left=0, right=2),\n",
- " Link(height=7, left=3, right=4),\n",
- " Link(height=8, left=2, right=4),\n",
- " Link(height=9, left=1, right=2),\n",
- " Link(height=10, left=0, right=4),\n",
- " Link(height=11, left=1, right=2),\n",
- " Link(height=12, left=2, right=4),\n",
- " Link(height=13, left=0, right=4),\n",
- " Link(height=14, left=1, right=4)]"
- ]
- },
- "execution_count": 149,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "net = read_net('(2, 5), (1, 4), (0, 3), (0, 3), (0, 5), (3, 5), (0, 2), (3, 4), (2, 4), (1, 2), (0, 4), (1, 2), (2, 4), (0, 4), (1, 4)')\n",
- "net"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 150,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=0, right=3),\n",
- " Link(height=0, left=1, right=4),\n",
- " Link(height=0, left=2, right=5),\n",
- " Link(height=1, left=0, right=3),\n",
- " Link(height=2, left=0, right=5),\n",
- " Link(height=3, left=0, right=2),\n",
- " Link(height=3, left=3, right=5),\n",
- " Link(height=4, left=3, right=4),\n",
- " Link(height=5, left=2, right=4),\n",
- " Link(height=6, left=0, right=4),\n",
- " Link(height=6, left=1, right=2),\n",
- " Link(height=7, left=1, right=2),\n",
- " Link(height=8, left=2, right=4),\n",
- " Link(height=9, left=0, right=4),\n",
- " Link(height=10, left=1, right=4)]"
- ]
- },
- "execution_count": 150,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "pack(net)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 151,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=1, right=4),\n",
- " Link(height=0, left=2, right=5),\n",
- " Link(height=1, left=0, right=5),\n",
- " Link(height=2, left=0, right=2),\n",
- " Link(height=2, left=3, right=5),\n",
- " Link(height=3, left=3, right=4),\n",
- " Link(height=4, left=2, right=4),\n",
- " Link(height=5, left=0, right=4),\n",
- " Link(height=6, left=2, right=4),\n",
- " Link(height=7, left=0, right=4),\n",
- " Link(height=8, left=1, right=4)]"
- ]
- },
- "execution_count": 151,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "epnet = eliminate_pairs(net)\n",
- "pack(epnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 152,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "11\n",
- "11\n"
- ]
- },
- {
- "data": {
- "text/plain": [
- "[Link(height=0, left=1, right=4),\n",
- " Link(height=0, left=2, right=5),\n",
- " Link(height=1, left=0, right=5),\n",
- " Link(height=2, left=0, right=2),\n",
- " Link(height=2, left=3, right=5),\n",
- " Link(height=3, left=3, right=4),\n",
- " Link(height=4, left=0, right=4),\n",
- " Link(height=5, left=2, right=4),\n",
- " Link(height=6, left=1, right=4)]"
- ]
- },
- "execution_count": 152,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "eptnet = eliminate_triple_pairs(epnet)\n",
- "pack(eptnet)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 153,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "True"
- ]
- },
- "execution_count": 153,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "''.join(follow_many(string.ascii_lowercase, net)) == ''.join(follow_many(string.ascii_lowercase, eptnet))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 155,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "104"
- ]
- },
- "execution_count": 155,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "open('04-small.txt', 'w').write(show_net(net, pair_sep='\\n'))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3",
- "language": "python",
- "name": "python3"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.5.2+"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 2
-}
projects / ou-summer-of-code-2017.git / blobdiff