X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=04-amidakuji%2Famidakuji-creation.ipynb;fp=04-amidakuji%2Famidakuji-creation.ipynb;h=65d9751162ae8e913af95c2d7dff399baa088120;hb=55f602f3ca4d1297233e471706caaad9c7a99b5e;hp=0000000000000000000000000000000000000000;hpb=c1f001553a729b73032babaeb7b900a63704c436;p=ou-summer-of-code-2017.git diff --git a/04-amidakuji/amidakuji-creation.ipynb b/04-amidakuji/amidakuji-creation.ipynb new file mode 100644 index 0000000..65d9751 --- /dev/null +++ b/04-amidakuji/amidakuji-creation.ipynb @@ -0,0 +1,2514 @@ +{ + "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", + " Link(height=365, left=3, right=23),\n", + " 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": [ + "[(Link(height=49, left=10, right=20),\n", + " Link(height=50, left=2, right=20),\n", + " Link(height=51, left=10, right=20),\n", + " Link(height=52, left=2, right=20)),\n", + " (Link(height=54, left=2, right=24),\n", + " Link(height=55, left=3, right=24),\n", + " Link(height=56, left=2, right=24),\n", + " Link(height=57, left=3, right=24)),\n", + " (Link(height=62, left=2, right=15),\n", + " Link(height=63, left=0, right=15),\n", + " Link(height=64, left=2, right=15),\n", + " Link(height=65, left=0, right=15)),\n", + " (Link(height=114, left=14, right=18),\n", + " Link(height=115, left=3, right=18),\n", + " Link(height=116, left=14, right=18),\n", + " Link(height=117, left=3, right=18)),\n", + " (Link(height=138, left=13, right=19),\n", + " Link(height=139, left=8, right=19),\n", + " Link(height=140, left=13, right=19),\n", + " Link(height=141, left=8, right=19)),\n", + " (Link(height=160, left=12, right=13),\n", + " Link(height=161, left=4, right=12),\n", + " Link(height=162, left=12, right=13),\n", + " Link(height=163, left=4, right=12)),\n", + " (Link(height=315, left=23, right=24),\n", + " Link(height=320, left=20, right=23),\n", + " Link(height=321, left=23, right=24),\n", + " Link(height=322, left=20, right=23)),\n", + " (Link(height=324, left=3, right=18),\n", + " Link(height=325, left=16, right=18),\n", + " Link(height=326, left=3, right=18),\n", + " Link(height=327, left=16, right=18)),\n", + " (Link(height=342, left=21, right=22),\n", + " Link(height=345, left=1, right=22),\n", + " Link(height=346, left=21, right=22),\n", + " Link(height=347, left=1, right=22)),\n", + " (Link(height=405, left=8, right=19),\n", + " Link(height=406, left=4, right=8),\n", + " Link(height=407, left=8, right=19),\n", + " Link(height=408, left=4, right=8)),\n", + " (Link(height=468, left=11, right=22),\n", + " Link(height=469, left=15, right=22),\n", + " Link(height=470, left=11, right=22),\n", + " 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Link(height=1198, left=9, right=22),\n", + " Link(height=1199, left=2, right=9),\n", + " Link(height=1200, left=9, right=22)),\n", + " (Link(height=1222, left=2, right=3),\n", + " Link(height=1223, left=2, right=5),\n", + " Link(height=1224, left=2, right=3),\n", + " Link(height=1225, left=2, right=5)),\n", + " (Link(height=1318, left=12, right=23),\n", + " Link(height=1319, left=4, right=12),\n", + " Link(height=1320, left=12, right=23),\n", + " Link(height=1321, left=4, right=12)),\n", + " (Link(height=1341, left=17, right=22),\n", + " Link(height=1342, left=11, right=17),\n", + " Link(height=1343, left=17, right=22),\n", + " Link(height=1344, left=11, right=17)),\n", + " (Link(height=1396, left=4, right=9),\n", + " Link(height=1397, left=3, right=9),\n", + " Link(height=1398, left=4, right=9),\n", + " Link(height=1399, left=3, right=9)),\n", + " (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", + " Link(height=1506, left=13, right=21),\n", + " 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", + " Link(height=1864, left=1, right=13),\n", + " Link(height=1865, left=1, right=12),\n", + " Link(height=1866, left=1, right=13)),\n", + " (Link(height=1873, left=10, right=22),\n", + " Link(height=1874, left=10, right=15),\n", + " 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 +}