From 3b0a509d8a52b73b4499855d829a236f62d6be91 Mon Sep 17 00:00:00 2001 From: mwinter Date: Sun, 28 Apr 2024 20:07:56 +0200 Subject: [PATCH] committing slightly faster graph builder --- compact_sets_extended_simplified.ipynb | 9235 +----------------------- 1 file changed, 98 insertions(+), 9137 deletions(-) diff --git a/compact_sets_extended_simplified.ipynb b/compact_sets_extended_simplified.ipynb index 40c05ad..f55e70b 100644 --- a/compact_sets_extended_simplified.ipynb +++ b/compact_sets_extended_simplified.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 117, + "execution_count": 8, "id": "806f6f69-1e0b-4d34-aac9-695c8531cdb1", "metadata": {}, "outputs": [], @@ -74,56 +74,54 @@ " # this will filter out the 4x dups of paths that are loops, there might be a faster way to test this\n", " return set(grow_chords(chord, root, min_chord_size, max_chord_size))\n", "\n", - "# this is very slow, I have an idea in mind that my be faster by simply growing the chords to max_chord_size + max_sim_diff\n", - "# technically at that point you have generated both chords and can get the second chord from the first\n", - "def edges(chords, min_symdiff, max_symdiff, max_chord_size): \n", - " def reverse_dict(dict):\n", - " rev_dict = deepcopy(dict)\n", - " rev_trans = tuple(t * -1 for t in rev_dict['transposition'])\n", - " rev_dict['transposition'] = rev_trans\n", - " rev_dict['movements'] = {\n", - " value['destination']:{\n", - " 'destination':key, \n", - " 'cent_difference':value['cent_difference']\n", - " } for key, value in rev_dict['movements'].items()}\n", - " return rev_dict\n", + "def reverse_movements(movements):\n", + " return {value['destination']:{'destination':key, 'cent_difference':value['cent_difference']} for key, value in movements.items()}\n", "\n", - " def is_directly_tunable(intersection, diff):\n", - " return max([len(collapse_pitch(pitch_difference(d, set(list(intersection)[0])))) for d in diff]) == 1\n", + "def is_directly_tunable(intersection, diff):\n", + " return max([len(collapse_pitch(pitch_difference(d, set(list(intersection)[0])))) for d in diff]) == 1\n", "\n", - " def edge_data(chords):\n", - " [expanded_base, expanded_comp] = [set(expand_chord(chord)) for chord in chords]\n", - " edges = []\n", - " transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n", - " for trans in transpositions:\n", + "def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n", + " [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n", + " edges = []\n", + " transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n", + " for trans in transpositions:\n", + " expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n", + " intersection = set(expanded_base) & set(expanded_comp_transposed)\n", + " symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n", + " if (min_symdiff <= symdiff_len <= max_symdiff):\n", " rev_trans = tuple(t * -1 for t in trans)\n", - " expanded_comp_transposed = set(transpose_chord(expanded_comp, trans))\n", - " intersection = expanded_base & expanded_comp_transposed\n", - " [diff1, diff2] = [list(chord - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n", - " symdiff_len = (len(diff1) + len(diff2))\n", - " if (min_symdiff <= symdiff_len <= max_symdiff):\n", - " base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n", - " edge_dict = {\n", - " 'transposition': trans, \n", + " [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n", + " base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n", + " base_map_rev = reverse_movements(base_map)\n", + " tunability = is_directly_tunable(intersection, diff2)\n", + " maps = []\n", + " diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n", + " perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n", + " for p in perms:\n", + " appended_map = {\n", + " diff1[index]:\n", + " {\n", + " 'destination': transpose_pitch(val, rev_trans) if val != None else None, \n", + " 'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n", + " } for index, val in enumerate(p)}\n", + " edges.append((tuple(expanded_base), tuple(expanded_comp), {\n", + " 'transposition': trans,\n", " 'symmetric_difference': symdiff_len, \n", - " 'is_directly_tunable': is_directly_tunable(intersection, diff2)\n", - " }\n", - " maps = []\n", - " diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n", - " perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n", - " for p in perms:\n", - " appended_map = {\n", - " diff1[index]:\n", - " {\n", - " 'destination': transpose_pitch(val, rev_trans) if val != None else None, \n", - " 'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n", - " } for index, val in enumerate(p)}\n", - " edge_dict['movements'] = base_map | appended_map\n", - " edges.append((tuple(expanded_base), tuple(expanded_comp), edge_dict))\n", - " edges.append((tuple(expanded_comp), tuple(expanded_base), reverse_dict(edge_dict)))\n", - " return edges if edges != [] else None\n", - " \n", - " return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c)) is not None]))\n", + " 'is_directly_tunable': tunability,\n", + " 'movements': base_map | appended_map\n", + " }))\n", + " edges.append((tuple(expanded_comp), tuple(expanded_base), {\n", + " 'transposition': rev_trans,\n", + " 'symmetric_difference': symdiff_len, \n", + " 'is_directly_tunable': tunability,\n", + " 'movements': base_map_rev | reverse_movements(appended_map)\n", + " }))\n", + " return edges if edges != [] else None\n", + "\n", + "# this is very slow, I have an idea in mind that my be faster by simply growing the chords to max_chord_size + max_sim_diff\n", + "# technically at that point you have generated both chords and can get the second chord from the first\n", + "def edges(chords, min_symdiff, max_symdiff, max_chord_size): \n", + " return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c, min_symdiff, max_symdiff, max_chord_size)) is not None]))\n", "\n", "def graph_from_edges(edges):\n", " g = nx.MultiDiGraph()\n", @@ -174,13 +172,13 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 11, "id": "4e3ef738-7f64-47c3-9129-0450fd031375", "metadata": {}, "outputs": [], "source": [ - "dims = (2, 3, 5, 7)\n", - "root = (0, 0, 0, 0)\n", + "dims = (2, 3, 5, 7, 11)\n", + "root = (0, 0, 0, 0, 0)\n", "chord = (root,)\n", "#%timeit chords(chord, root, 4, 4)\n", "#print(len(chord_set))\n", @@ -189,22 +187,22 @@ "#edge_set\n", "#%timeit edges(chord_set, 2, 2, 4)\n", "#print(len(edge_set))\n", - "graph = generate_graph(chord_set, 2, 2, 3)" + "graph = generate_graph(chord_set, 4, 4, 3)" ] }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 12, "id": "aea5215c-8551-4685-b761-11c2dc74cf22", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "125" + "131" ] }, - "execution_count": 124, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -239,7 +237,7 @@ " cent_diffs.sort()\n", " return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n", " \n", - " return [(2 if is_contrary(e) else 1) for e in edges]\n", + " return [(10 if is_contrary(e) else 1) for e in edges]\n", "\n", " \n", " def is_directly_tunable_weights(edges):\n", @@ -262,8 +260,7 @@ " \n", " \n", " check_graph = graph.copy()\n", - " #next_node = choice(list(graph.nodes()))\n", - " next_node = list(graph.nodes())[0]\n", + " next_node = choice(list(graph.nodes()))\n", " check_graph.remove_node(next_node)\n", " path = []\n", " while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 5000):\n", @@ -293,61 +290,6 @@ "len(path)" ] }, - { - "cell_type": "code", - "execution_count": 122, - "id": "472e3033-cf7f-43da-9396-df6c6ee426b8", - "metadata": {}, - "outputs": [], - "source": [ - "def reverse_movements(movements):\n", - " return {value['destination']:{'destination':key, 'cent_difference':value['cent_difference']} for key, value in movements.items()}\n", - "\n", - "def is_directly_tunable(intersection, diff):\n", - " return max([len(collapse_pitch(pitch_difference(d, set(list(intersection)[0])))) for d in diff]) == 1\n", - "\n", - "def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n", - " [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n", - " edges = []\n", - " transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n", - " for trans in transpositions:\n", - " expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n", - " intersection = set(expanded_base) & set(expanded_comp_transposed)\n", - " symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n", - " if (min_symdiff <= symdiff_len <= max_symdiff):\n", - " rev_trans = tuple(t * -1 for t in trans)\n", - " [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n", - " base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n", - " base_map_rev = reverse_movements(base_map)\n", - " tunability = is_directly_tunable(intersection, diff2)\n", - " maps = []\n", - " diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n", - " perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n", - " for p in perms:\n", - " appended_map = {\n", - " diff1[index]:\n", - " {\n", - " 'destination': transpose_pitch(val, rev_trans) if val != None else None, \n", - " 'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n", - " } for index, val in enumerate(p)}\n", - " edges.append((tuple(expanded_base), tuple(expanded_comp), {\n", - " 'transposition': trans,\n", - " 'symmetric_difference': symdiff_len, \n", - " 'is_directly_tunable': tunability,\n", - " 'movements': base_map | appended_map\n", - " }))\n", - " edges.append((tuple(expanded_comp), tuple(expanded_base), {\n", - " 'transposition': rev_trans,\n", - " 'symmetric_difference': symdiff_len, \n", - " 'is_directly_tunable': tunability,\n", - " 'movements': base_map_rev | reverse_movements(appended_map)\n", - " }))\n", - " return edges if edges != [] else None\n", - " \n", - "def edges(chords, min_symdiff, max_symdiff, max_chord_size): \n", - " return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c, min_symdiff, max_symdiff, max_chord_size)) is not None]))" - ] - }, { "cell_type": "code", "execution_count": 11, @@ -369,9049 +311,68 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 134, "id": "7f141bf5-fdcb-4c01-a10b-3e86d3d1a7b4", "metadata": {}, "outputs": [], "source": [ - "chord_set = chords(chord, root, 5, 5)\n", - "#edges(chord_set, 2, 2, 3)" + "chord_set = chords(chord, root, 3, 3)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 136, "id": "88850b8c-a743-44d0-b863-7cd9066690d9", "metadata": {}, - "outputs": [], - "source": [ - "lprun -f edge_data edges(chord_set, 2, 2, 5)" - ] - }, - { - "cell_type": "code", - "execution_count": 121, - "id": "a801362e-2b10-4c91-841b-9feae4b1be5c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[(((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n", - " ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n", - " {'transposition': (1, 1, 0, -1),\n", - " 'symmetric_difference': 2,\n", - " 'is_directly_tunable': False,\n", - " 'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n", - 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" {'transposition': (-2, 0, 1, 0),\n", - " 'symmetric_difference': 2,\n", - " 'is_directly_tunable': False,\n", - " 'movements': {(-4, 0, 2, 0): {'destination': (-2, 0, 1, 0),\n", - " 'cent_difference': 0},\n", - " (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n", - " (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n", - " 'cent_difference': 617.4878073957096}}}),\n", - " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n", - " ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n", - " {'transposition': (2, 0, -1, 0),\n", - " 'symmetric_difference': 2,\n", - " 'is_directly_tunable': False,\n", - " 'movements': {(-2, 0, 1, 0): {'destination': (-4, 0, 2, 0),\n", - " 'cent_difference': 0},\n", - " (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n", - " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n", - " ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n", - " {'transposition': (0, 0, 0, 0),\n", - " 'symmetric_difference': 2,\n", - " 'is_directly_tunable': True,\n", - " 'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n", - " 'cent_difference': 0},\n", - " (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n", - " (-4, 0, 2, 0): {'destination': (3, 0, 0, -1),\n", - " 'cent_difference': -541.4533341987947}}}),\n", - " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n", - " ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n", - " {'transposition': (0, 0, 0, 0),\n", - " 'symmetric_difference': 2,\n", - " 'is_directly_tunable': True,\n", - " 'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n", - " 'cent_difference': 0},\n", - " (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n", - " ...]" - ] - }, - "execution_count": 121, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "list(edges(chord_set, 2, 2, 3))" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "id": "baf0040d-0743-47e7-af74-c356036991bf", - "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timer unit: 1e-09 s\n", "\n", - "Total time: 0.24754 s\n", - "File: /tmp/ipykernel_510889/3883039038.py\n", - "Function: edges at line 55\n", + "Total time: 0.112228 s\n", + "File: /tmp/ipykernel_515812/2679284550.py\n", + "Function: edge_data at line 74\n", "\n", "Line # Hits Time Per Hit % Time Line Contents\n", "==============================================================\n", - " 55 def edges(chords, min_symdiff, max_symdiff, max_chord_size): \n", - " 56 1 247540447.0 2e+08 100.0 return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c, min_symdiff, max_symdiff, max_chord_size)) is not None]))" + " 74 def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n", + " 75 990 29603044.0 29902.1 26.4 [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n", + " 76 990 229527.0 231.8 0.2 edges = []\n", + " 77 990 23648371.0 23887.2 21.1 transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n", + " 78 9193 2315267.0 251.9 2.1 for trans in transpositions:\n", + " 79 8203 33386775.0 4070.1 29.7 expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n", + " 80 8203 8393773.0 1023.3 7.5 intersection = set(expanded_base) & set(expanded_comp_transposed)\n", + " 81 8203 11812057.0 1440.0 10.5 symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n", + " 82 8203 2530596.0 308.5 2.3 if (min_symdiff <= symdiff_len <= max_symdiff):\n", + " 83 rev_trans = tuple(t * -1 for t in trans)\n", + " 84 [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n", + " 85 base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n", + " 86 base_map_rev = reverse_movements(base_map)\n", + " 87 tunability = is_directly_tunable(intersection, diff2)\n", + " 88 maps = []\n", + " 89 diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n", + " 90 perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n", + " 91 for p in perms:\n", + " 92 appended_map = {\n", + " 93 diff1[index]:\n", + " 94 {\n", + " 95 'destination': transpose_pitch(val, rev_trans) if val != None else None, \n", + " 96 'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n", + " 97 } for index, val in enumerate(p)}\n", + " 98 edges.append((tuple(expanded_base), tuple(expanded_comp), {\n", + " 99 'transposition': trans,\n", + " 100 'symmetric_difference': symdiff_len, \n", + " 101 'is_directly_tunable': tunability,\n", + " 102 'movements': base_map | appended_map\n", + " 103 }))\n", + " 104 edges.append((tuple(expanded_comp), tuple(expanded_base), {\n", + " 105 'transposition': rev_trans,\n", + " 106 'symmetric_difference': symdiff_len, \n", + " 107 'is_directly_tunable': tunability,\n", + " 108 'movements': base_map_rev | reverse_movements(appended_map)\n", + " 109 }))\n", + " 110 990 308812.0 311.9 0.3 return edges if edges != [] else None" ] }, "metadata": {}, @@ -9419,7 +380,7 @@ } ], "source": [ - "lprun -f edges edges(chord_set, 2, 2, 3)" + "lprun -f edge_data edges(chord_set, 3, 3, 4)" ] } ],