Changes In Branch master Through [689adc054e] Excluding Merge-Ins
This is equivalent to a diff from aa88358397 to 689adc054e
2011-06-12
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20:32 | Made some changes to the parser. Don't remember what. Leaf check-in: 87435601e4 user: brian tags: master | |
20:31 | Create new branch named "develop" check-in: 9f4c4666c5 user: brian tags: develop | |
2011-02-10
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23:50 | Program generates a render order for the instruments based on their sync order check-in: 689adc054e user: brian@linux-85dd.site tags: master | |
22:34 | Added lexical support for parens instead of quotes for chords, cleaned up the yacc parser, added lex tokens for syncopation check-in: 702d933446 user: brian@linux-85dd.site tags: master | |
2010-11-17
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07:42 | csound score lines are no longer hardcoded, but are stored with each instrument check-in: b8d35587a4 user: spiffytech@gmail.com tags: master | |
07:34 | WIP on tld: 4b95fed Added support for rest notes Leaf check-in: ec61af8387 user: spiffytech@gmail.com tags: stash | |
07:34 | index on tld: 4b95fed Added support for rest notes check-in: ef35a8e9e0 user: spiffytech@gmail.com tags: stash | |
07:30 | Added support for rest notes Closed-Leaf check-in: aa88358397 user: spiffytech@gmail.com tags: tld | |
06:57 | Note duration is now counted as fraction of a whole note, as measured based on BPM check-in: 5a35ffdd27 user: spiffytech@gmail.com tags: tld | |
Added cfg.orc version [9f49be1cae].
> > > > > > > > > > > > > > > > > > > | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 | sr=44100 ksmps=20 nchnls=1 instr 1 asound pluck p4, cpspch(p5), cpspch(p6), p7, p8 p9 p10 out asound endin instr 2 kenv linen p4, .1, p3, .2; envelope asound oscili kenv, cpspch(p5), p6; oscillator out asound endin instr 3 asound foscili p4, cpspch(p5), 5, 2, 3, p9 out asound endin |
Modified cfg.py from [08a2f25157] to [e9b556b4f3].
1 2 3 4 5 6 7 8 9 10 11 12 | #!/usr/bin/env python from __future__ import division import os import random import sys import time random.seed(time.time()) import parse def main(): key = "A" | > > > | < | < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < < | > > > > > > > > > > > > > | | | | > | | | | | | | | | > > > | | | | > > > > > < | | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 | #!/usr/bin/env python from __future__ import division import os import random import sys import time random.seed(time.time()) import parse import topsort import yaml def main(): key = "A" bps = 60/60 tempo = 1/bps max_duration = 1 composition = yaml.load(open("score.yaml")) max_t = 0 # max time encountered so far. Used for movement timing progression = "chorus" for movement in progression.split(): for section in ["intro", "core", "outro"]: if section in composition[movement].keys(): try: render_order = topsort.topsort([[composition[movement][section][instrument]["sync"], instrument] if "sync" in composition[movement][section][instrument].keys() else [None, instrument] for instrument in composition[movement][section]]) except topsort.CycleError as ex: print "Your instruments are synced in a circle! This makes no sense!" print movement, section print ex sys.exit(1) # for comp_name in progression.split(): # comp_start_time = max_t # for instr_name, instr in composition[comp_name].iteritems(): # generated_score = generate_score(instr["score"], instr["grammars"]) # Fill in the scores by generating them based on the grammars ## print generated_score # score = parse.parse(generated_score, default_octave=instr["octave"]) # Return Node/Chord objects # # # Generate timestamps for the notes # t = comp_start_time # for note in range(len(score)): # score[note].time = t # score[note].duration *= tempo # t += score[note].duration ## print "time difference =", t-comp_start_time ## print "instrument duration =",composition[comp_name][instr_name]["duration"] # if (t-comp_start_time) > float(composition[comp_name][instr_name]["duration"]): ## print "here" # score = score[:note] # break # max_t = t if t > max_t else max_t # composition[comp_name][instr_name]["score"] = score # Must be done after all note times keyed in, else you can't coordinate melodies with the rhythm chords print '''f1 0 512 10 1 f2 0 8192 10 .24 .64 .88 .76 .06 .5 .34 .08 f3 0 1025 10 1 ''' for comp_name in progression.split(): print "; Movement:", comp_name for instr_name, instr in composition[comp_name].iteritems(): composition[comp_name][instr_name]["score"] = transliterate_score(composition[comp_name][instr_name]["score"], key) # print "\nMovement %s instrument %s" % (comp_name, instr_name) # print composition[comp_name][instr_name]["score"] final_score = generate_csound_score(composition[comp_name][instr_name]["score"], composition[comp_name][instr_name]["score_line"]) for line in final_score: print line def make_scale(key): notes = ["A", "A#", "B", "C", "C#", "D", "D#", "E", "F", "F#", "G", "G#"] scale = [key] |
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111 112 113 114 115 116 117 | while 1: found_substitution = False for key,value in grammars.iteritems(): if score.find(key) != -1: found_substitution = True while score.find(key) != -1: score = score.replace(key, random.choice(grammars[key]), 1) | > | > | < | 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 | while 1: found_substitution = False for key,value in grammars.iteritems(): if score.find(key) != -1: found_substitution = True while score.find(key) != -1: score = score.replace(key, random.choice(grammars[key]), 1) # print scoe if len(score.split()) > 2000: for k in grammars.keys(): score = score.replace(k, "") return score if found_substitution is False: break return score def transliterate_score(score, key): scale = make_scale(key) |
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139 140 141 142 143 144 145 | for i in range(len(score)): if isinstance(score[i], parse.Note): score[i].value = scale[scale_conversion[score[i].value]-1] elif isinstance(score[i], parse.Chord): chord = [] root_note_index = scale.index(key) + scale_conversion[score[i].value] chord.append(scale[root_note_index]) | > | | < | | | | | 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 | for i in range(len(score)): if isinstance(score[i], parse.Note): score[i].value = scale[scale_conversion[score[i].value]-1] elif isinstance(score[i], parse.Chord): chord = [] root_note_index = scale.index(key) + scale_conversion[score[i].value] chord.append(scale[root_note_index]) chord.append(scale[(root_note_index+3) % 8]) if score[i].chord_type == "m": # Minor chords, flat the 5th chord.append(scale[(root_note_index+4) % 8]) else: chord.append(scale[(root_note_index+5) % 8]) score[i].chord = chord elif isinstance(score[i], parse.Rest): pass return score def generate_csound_score(score, score_line): csound_note_values = { "C": "00", "C#": "01", "D": "02", "D#": "03", "E": "04", "F": "05", "F#": "06", "G": "07", "G#": "08", "A": "09", "A#": "10", "B": "11", } csound_score = [] for token in score: if isinstance(token, parse.Chord): # Chords for note in token.chord: note = csound_note_values[note] csound_score.append(score_line % {"time": token.time, "octave": token.octave, "note": note, "duration": token.duration}) elif isinstance(token, parse.Note): # Individual notes note = csound_note_values[token.value] csound_score.append(score_line % {"time": token.time, "octave": token.octave, "note": note, "duration": token.duration}) return csound_score if __name__ == "__main__": main() |
Added cfg.sco version [c92bf3908c].
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0 6 i1 297.000000 0.500000 7000 7.01 7.01 0 6 i1 297.500000 0.500000 7000 7.11 7.11 0 6 i1 297.500000 0.500000 7000 7.04 7.04 0 6 i1 297.500000 0.500000 7000 7.08 7.08 0 6 ; Movement: outro2 i1 298.500000 0.500000 7000 7.11 7.11 0 6 i1 298.500000 0.500000 7000 7.04 7.04 0 6 i1 298.500000 0.500000 7000 7.08 7.08 0 6 i1 299.000000 2.000000 7000 7.08 7.08 0 6 i1 299.000000 2.000000 7000 7.11 7.11 0 6 i1 299.000000 2.000000 7000 7.02 7.02 0 6 i1 301.000000 0.500000 7000 7.04 7.04 0 6 i1 301.000000 0.500000 7000 7.09 7.09 0 6 i1 301.000000 0.500000 7000 7.11 7.11 0 6 i1 301.500000 0.500000 7000 7.06 7.06 0 6 i1 301.500000 0.500000 7000 7.09 7.09 0 6 i1 301.500000 0.500000 7000 7.01 7.01 0 6 i1 302.000000 0.500000 7000 7.11 7.11 0 6 i1 302.000000 0.500000 7000 7.04 7.04 0 6 i1 302.000000 0.500000 7000 7.08 7.08 0 6 |
Modified parse.py from [3a88b8ab43] to [3ec57c3fbe].
1 2 3 4 5 6 7 8 9 10 11 12 13 | #!/usr/bin/env python from ply import lex, yacc class Note(): def __init__(self, value, duration=.25, octave=8): self.value = value self.duration = duration self.octave = octave self.accidental = None def __repr__(self): return "Note %s %s %s" % (self.value, self.duration, self.octave) class Chord(): | | > | < | > | > | < < < < < < < < | | | | | | | > > | < < < < < < < | | | > > > > > > | | | | < | | | | | < | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 | #!/usr/bin/env python from ply import lex, yacc class Note(): def __init__(self, value, duration=.25, octave=8): self.value = value self.duration = duration self.octave = octave self.accidental = None def __repr__(self): return "Note %s %s %s" % (self.value, self.duration, self.octave) class Chord(): def __init__(self, value, duration=.5, chord_type="major", octave=5): self.value = value self.duration = duration self.chord_type = chord_type self.octave = octave def __repr__(self): return "Chord %s %s %s" % (self.value, self.duration, self.chord_type, self.octave) class Rest(): def __init__(self, duration=.25): self.duration = duration def __repr__(self): return "Rest node %s" % self.duration def parse(score, default_octave=8): # Tokenize (lex) tokens = ( "NOTE_LENGTH", "BASENOTE", "ACCIDENTAL", "REST", "OCTAVE", "CHORD_TYPE", "PAREN", "SYNCOPATE", ) t_ignore = " |" #t_BASENOTE = r"[A-Ga-g]" t_BASENOTE = r"I+V?|VI*|i+v?|vi*" t_ACCIDENTAL = r"\^{1,2}|_{1,2}|=" t_REST = r"z" t_OCTAVE = r"'+|,+" t_CHORD_TYPE = r"m|7|m7|0|o|\+|mb5|sus|sus4|maj7|mmaj7|7sus4|dim|dim7|7b5|m7b5|6|b6|m6|mb6|46|maj9|9|add9|7b9|m9" t_PAREN = "\(|\)" t_SYNCOPATE = "\+|-" def t_NOTE_LENGTH(t): r"/?\d+" multiplier = float(t.value.strip("/")) if t.value.startswith("/"): multiplier = 1/multiplier t.value = multiplier return t def t_error(t): raise TypeError("Unknown text '%s'" % (t.value,)) lex.lex() lex.input(score) # Parse (yacc) def p_note_list(p): '''score : score note | score chord | score rest ''' p[0] = p[1] + [p[2]] def p_score(p): '''score : note | chord | rest ''' p[0] = [p[1]] def p_chord_length(p): ''' chord : chord NOTE_LENGTH ''' new_note = p[1] new_note.duration = p[2] p[0] = new_note def p_note_length(p): ''' note : note NOTE_LENGTH ''' new_note = p[1] new_note.duration = p[2] p[0] = new_note def p_chord(p): '''chord : PAREN note PAREN | PAREN note CHORD_TYPE PAREN ''' pitch = p[2].value pitch = pitch.upper() p[0] = Chord(value=pitch, octave=default_octave) if len(p) > 3: p[0].chord_type = p[3] def p_note_syncopate(p): ''' note : note SYNCOPATE ''' note.syncopate = p[2] def p_accidental(p): '''note : ACCIDENTAL note ''' p[2].accidental = p[1] p[0] = p[2] def p_octave(p): '''note : note OCTAVE ''' count = len(p[2]) increment_or_decrement = 1 if p[2].startswith("'") else -1 p[1].octave += (count * increment_or_decrement) p[0] = p[1] def p_note(p): '''note : BASENOTE ''' p[0] = Note(p[1], octave=default_octave) def p_rest(p): ''' rest : REST | REST NOTE_LENGTH ''' p[0] = Rest() if len(p) > 2: p[0].duration = p[2] def p_error(p): raise Exception("Syntax error at '%s' of element type %s" % (p.value, p.type)) yacc.yacc() return yacc.parse(score) |
Added rad_util.py version [99f93e22cf].
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823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 | # Copyright (c) 2007 RADLogic # # Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to deal # in the Software without restriction, including without limitation the rights # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell # copies of the Software, and to permit persons to whom the Software is # furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included in # all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN # THE SOFTWARE. """Provide various handy Python functions. Running this script directly will execute the doctests. Functions: int2bin(i, n) -- Convert integer to binary string. bin2int(bin_string) -- Convert binary string to integer. reverse(input_string) -- Reverse a string. transpose(matrix) -- Transpose a list of lists. polygon_area(points_list) -- Calculate the area of an arbitrary polygon. timestamp() -- Return string containing current time stamp. pt2str(point) -- Return prettier string version of point tuple. gcf(a, b) -- Return the greatest common factor of two numbers. lcm(a, b) -- Return the least common multiple of two numbers. permutations(input_list) -- Generate all permutations of a list of items. reduce_fraction(fraction) -- Reduce fraction (num, denom) to simplest form. quantile(l, p) -- Return p quantile of list l. E.g. p=0.25 for q1. trim(l) -- Discard values in list more than 1.5*IQR outside IQR. nice_units(value) -- Return value converted to human readable units. uniquify(seq) -- Return sequence with duplicate items in sequence seq removed. reverse_dict(d) -- Return the dictionary with the items as keys and vice-versa. lsb(x, n) -- Return the n least significant bits of x. gray_encode(i) -- Gray encode the given integer. random_vec(bits, max_value=None) -- Return a random binary vector. binary_range(bits) -- Return list of all possible binary numbers width=bits. float_range([start], stop, [step]) -- Return range of floats. find_common_fixes(s1, s2) -- Find common (prefix, suffix) of two strings. is_rotated(seq1, seq2) -- Return true if the list is a rotation of other list. getmodule(obj) -- Return the module that contains the object definition of obj. (use inspect.getmodule instead, though) get_args(argv) -- Store command-line args in a dictionary. This module requires Python >= 2.2 """ __author__ = 'Tim Wegener <twegener@radlogic.com.au>' __date__ = '$Date: 2007/03/27 03:15:06 $' __version__ = '$Revision: 0.45 $' __credits__ = """ David Chandler, for polygon area algorithm. (http://www.davidchandler.com/AreaOfAGeneralPolygon.pdf) """ import re import sys import time import random try: True, False except NameError: True, False = (1==1, 0==1) def int2bin(i, n): """Convert decimal integer i to n-bit binary number (string). >>> int2bin(0, 8) '00000000' >>> int2bin(123, 8) '01111011' >>> int2bin(123L, 8) '01111011' >>> int2bin(15, 2) Traceback (most recent call last): ValueError: Value too large for given number of bits. """ hex2bin = {'0': '0000', '1': '0001', '2': '0010', '3': '0011', '4': '0100', '5': '0101', '6': '0110', '7': '0111', '8': '1000', '9': '1001', 'a': '1010', 'b': '1011', 'c': '1100', 'd': '1101', 'e': '1110', 'f': '1111'} # Convert to hex then map each hex digit to binary equivalent. result = ''.join([hex2bin[x] for x in hex(i).lower().replace('l','')[2:]]) # Shrink result to appropriate length. # Raise an error if the value is changed by the truncation. if '1' in result[:-n]: raise ValueError("Value too large for given number of bits.") result = result[-n:] # Zero-pad if length longer than mapped result. result = '0'*(n-len(result)) + result return result def bin2int(bin_string): """Convert binary number string to decimal integer. Note: Python > v2 has int(bin_string, 2) >>> bin2int('1111') 15 >>> bin2int('0101') 5 """ ## result = 0 ## bin_list = list(bin_string) ## if len(filter(lambda x: x in ('1','0'), bin_list)) < len(bin_list): ## raise Exception ("bin2int: Error - not a binary number: %s" ## % bin_string) ## bit_list = map(int, bin_list) ## bit_list.reverse() # Make most significant bit have highest index. ## for bit_place in range(len(bit_list)): ## result = result + ((2**bit_place) * bit_list[bit_place]) ## return result return int(bin_string, 2) def reverse(input_string): """Reverse a string. Useful for strings of binary numbers. >>> reverse('abc') 'cba' """ str_list = list(input_string) str_list.reverse() return ''.join(str_list) def transpose(matrix): """Transpose a list of lists. >>> transpose([['a', 'b', 'c'], ['d', 'e', 'f'], ['g', 'h', 'i']]) [['a', 'd', 'g'], ['b', 'e', 'h'], ['c', 'f', 'i']] >>> transpose([['a', 'b', 'c'], ['d', 'e', 'f']]) [['a', 'd'], ['b', 'e'], ['c', 'f']] >>> transpose([['a', 'b'], ['d', 'e'], ['g', 'h']]) [['a', 'd', 'g'], ['b', 'e', 'h']] """ result = zip(*matrix) # Convert list of tuples to list of lists. # map is faster than a list comprehension since it is being used with # a built-in function as an argument. result = map(list, result) return result def polygon_area(points_list, precision=100): """Calculate area of an arbitrary polygon using an algorithm from the web. Return the area of the polygon as a positive float. Arguments: points_list -- list of point tuples [(x0, y0), (x1, y1), (x2, y2), ...] (Unclosed polygons will be closed automatically. precision -- Internal arithmetic precision (integer arithmetic). >>> polygon_area([(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 0), (0, 0)]) 3.0 Credits: Area of a General Polygon by David Chandler http://www.davidchandler.com/AreaOfAGeneralPolygon.pdf """ # Scale up co-ordinates and convert them to integers. for i in range(len(points_list)): points_list[i] = (int(points_list[i][0] * precision), int(points_list[i][1] * precision)) # Close polygon if not closed. if points_list[-1] != points_list[0]: points_list.append(points_list[0]) # Calculate area. area = 0 for i in range(len(points_list)-1): (x_i, y_i) = points_list[i] (x_i_plus_1, y_i_plus_1) = points_list[i+1] area = area + (x_i_plus_1 * y_i) - (y_i_plus_1 * x_i) area = abs(area / 2) # Unscale area. area = float(area)/(precision**2) return area def timestamp(): """Return string containing current time stamp. Note: In Python 2 onwards can use time.asctime() with no arguments. """ return time.asctime() def pt2str(point): """Return prettier string version of point tuple. >>> pt2str((1.8, 1.9)) '(1.8, 1.9)' """ return "(%s, %s)" % (str(point[0]), str(point[1])) def gcf(a, b, epsilon=1e-16): """Return the greatest common factor of a and b, using Euclidean algorithm. Arguments: a, b -- two numbers If both numbers are integers return an integer result, otherwise return a float result. epsilon -- floats less than this magnitude are considered to be zero (default: 1e-16) Examples: >>> gcf(12, 34) 2 >>> gcf(13.5, 4) 0.5 >>> gcf(-2, 4) 2 >>> gcf(5, 0) 5 By (a convenient) definition: >>> gcf(0, 0) 0 """ result = max(a, b) remainder = min(a, b) while remainder and abs(remainder) > epsilon: new_remainder = result % remainder result = remainder remainder = new_remainder return abs(result) def lcm(a, b, precision=None): """Return the least common multiple of a and b, using the gcf function. Arguments: a, b -- two numbers. If both are integers return an integer result, otherwise a return a float result. precision -- scaling factor if a and/or b are floats. >>> lcm(21, 6) 42 >>> lcm(2.5, 3.5) 17.5 >>> str(lcm(1.5e-8, 2.5e-8, precision=1e9)) '7.5e-08' By (an arbitary) definition: >>> lcm(0, 0) 0 """ # Note: Dummy precision argument is for backwards compatibility. # Do the division first. # (See http://en.wikipedia.org/wiki/Least_common_multiple ) denom = gcf(a, b) if denom == 0: result = 0 else: result = a * (b / denom) return result def permutations(input_list): """Return a list containing all permutations of the input list. Note: This is a recursive function. >>> perms = permutations(['a', 'b', 'c']) >>> perms.sort() >>> for perm in perms: ... print perm ['a', 'b', 'c'] ['a', 'c', 'b'] ['b', 'a', 'c'] ['b', 'c', 'a'] ['c', 'a', 'b'] ['c', 'b', 'a'] """ out_lists = [] if len(input_list) > 1: # Extract first item in list. item = input_list[0] # Find all permutations of remainder of list. (Recursive call.) sub_lists = permutations(input_list[1:]) # For every permutation of the sub list... for sub_list in sub_lists: # Insert the extracted first item at every position of the list. for i in range(len(input_list)): new_list = sub_list[:] new_list.insert(i, item) out_lists.append(new_list) else: # Termination condition: only one item in input list. out_lists = [input_list] return out_lists def reduce_fraction(fraction): """Reduce fraction tuple to simplest form. fraction=(num, denom) >>> reduce_fraction((14, 7)) (2, 1) >>> reduce_fraction((-2, 4)) (-1, 2) >>> reduce_fraction((0, 4)) (0, 1) >>> reduce_fraction((4, 0)) (1, 0) """ (numerator, denominator) = fraction common_factor = abs(gcf(numerator, denominator)) result = (numerator/common_factor, denominator/common_factor) return result def quantile(l, p): """Return p quantile of list l. E.g. p=0.25 for q1. See: http://rweb.stat.umn.edu/R/library/base/html/quantile.html """ l_sort = l[:] l_sort.sort() n = len(l) r = 1 + ((n - 1) * p) i = int(r) f = r - i if i < n: result = (1-f)*l_sort[i-1] + f*l_sort[i] else: result = l_sort[i-1] return result def trim(l): """Discard values in list more than 1.5*IQR outside IQR. (IQR is inter-quartile-range) This function uses rad_util.quantile 1.5*IQR -- mild outlier 3*IQR -- extreme outlier See: http://wind.cc.whecn.edu/~pwildman/statnew/section_7_-_exploratory_data_analysis.htm """ l_sort = l[:] l_sort.sort() # Calculate medianscore (based on stats.py lmedianscore by Gary Strangman) if len(l_sort) % 2 == 0: # If even number of scores, average middle 2. index = int(len(l_sort) / 2) # Integer division correct median = float(l_sort[index] + l_sort[index-1]) / 2 else: # int divsion gives mid value when count from 0 index = int(len(l_sort) / 2) median = l_sort[index] # Calculate IQR. q1 = quantile(l_sort, 0.25) q3 = quantile(l_sort, 0.75) iqr = q3 - q1 iqr_extra = iqr * 1.5 def in_interval(x, i=iqr_extra, q1=q1, q3=q3): return (x >= q1-i and x <= q3+i) l_trimmed = [x for x in l_sort if in_interval(x)] return l_trimmed def nice_units(value, dp=0, sigfigs=None, suffix='', space=' ', use_extra_prefixes=False, use_full_name=False, mode='si'): """Return value converted to human readable units eg milli, micro, etc. Arguments: value -- number in base units dp -- number of decimal places to display (rounded) sigfigs -- number of significant figures to display (rounded) This overrides dp if set. suffix -- optional unit suffix to append to unit multiplier space -- seperator between value and unit multiplier (default: ' ') use_extra_prefixes -- use hecto, deka, deci and centi as well if set. (default: False) use_full_name -- use full name for multiplier symbol, e.g. milli instead of m (default: False) mode -- 'si' for SI prefixes, 'bin' for binary multipliers (1024, etc.) (Default: 'si') SI prefixes from: http://physics.nist.gov/cuu/Units/prefixes.html (Greek mu changed to u.) Binary prefixes based on: http://physics.nist.gov/cuu/Units/binary.html >>> nice_units(2e-11) '20 p' >>> nice_units(2e-11, space='') '20p' """ si_prefixes = {1e24: ('Y', 'yotta'), 1e21: ('Z', 'zetta'), 1e18: ('E', 'exa'), 1e15: ('P', 'peta'), 1e12: ('T', 'tera'), 1e9: ('G', 'giga'), 1e6: ('M', 'mega'), 1e3: ('k', 'kilo'), 1e-3: ('m', 'milli'), 1e-6: ('u', 'micro'), 1e-9: ('n', 'nano'), 1e-12: ('p', 'pico'), 1e-15: ('f', 'femto'), 1e-18: ('a', 'atto'), 1e-21: ('z', 'zepto'), 1e-24: ('y', 'yocto') } if use_extra_prefixes: si_prefixes.update({1e2: ('h', 'hecto'), 1e1: ('da', 'deka'), 1e-1: ('d', 'deci'), 1e-2: ('c', 'centi') }) bin_prefixes = {2**10: ('K', 'kilo'), 2**20: ('M', 'mega'), 2**30: ('G', 'mega'), 2**40: ('T', 'tera'), 2**50: ('P', 'peta'), 2**60: ('E', 'exa') } if mode == 'bin': prefixes = bin_prefixes else: prefixes = si_prefixes prefixes[1] = ('', '') # Unity. # Determine appropriate multiplier. multipliers = prefixes.keys() multipliers.sort() mult = None for i in range(len(multipliers) - 1): lower_mult = multipliers[i] upper_mult = multipliers[i+1] if lower_mult <= value < upper_mult: mult_i = i break if mult is None: if value < multipliers[0]: mult_i = 0 elif value >= multipliers[-1]: mult_i = len(multipliers) - 1 mult = multipliers[mult_i] # Convert value for this multiplier. new_value = value / mult # Deal with special case due to rounding. if sigfigs is None: if mult_i < (len(multipliers) - 1) and \ round(new_value, dp) == \ round((multipliers[mult_i+1] / mult), dp): mult = multipliers[mult_i + 1] new_value = value / mult # Concatenate multiplier symbol. if use_full_name: label_type = 1 else: label_type = 0 # Round and truncate to appropriate precision. if sigfigs is None: str_value = eval('"%.'+str(dp)+'f" % new_value', locals(), {}) else: str_value = eval('"%.'+str(sigfigs)+'g" % new_value', locals(), {}) return str_value + space + prefixes[mult][label_type] + suffix def uniquify(seq, preserve_order=False): """Return sequence with duplicate items in sequence seq removed. The code is based on usenet post by Tim Peters. This code is O(N) if the sequence items are hashable, O(N**2) if not. Peter Bengtsson has a blog post with an empirical comparison of other approaches: http://www.peterbe.com/plog/uniqifiers-benchmark If order is not important and the sequence items are hashable then list(set(seq)) is readable and efficient. If order is important and the sequence items are hashable generator expressions can be used (in py >= 2.4) (useful for large sequences): seen = set() do_something(x for x in seq if x not in seen or seen.add(x)) Arguments: seq -- sequence preserve_order -- if not set the order will be arbitrary Using this option will incur a speed penalty. (default: False) Example showing order preservation: >>> uniquify(['a', 'aa', 'b', 'b', 'ccc', 'ccc', 'd'], preserve_order=True) ['a', 'aa', 'b', 'ccc', 'd'] Example using a sequence of un-hashable items: >>> uniquify([['z'], ['x'], ['y'], ['z']], preserve_order=True) [['z'], ['x'], ['y']] The sorted output or the non-order-preserving approach should equal that of the sorted order-preserving approach output: >>> unordered = uniquify([3, 3, 1, 2], preserve_order=False) >>> unordered.sort() >>> ordered = uniquify([3, 3, 1, 2], preserve_order=True) >>> ordered.sort() >>> ordered [1, 2, 3] >>> int(ordered == unordered) 1 """ try: # Attempt fast algorithm. d = {} if preserve_order: # This is based on Dave Kirby's method (f8) noted in the post: # http://www.peterbe.com/plog/uniqifiers-benchmark return [x for x in seq if (x not in d) and not d.__setitem__(x, 0)] else: for x in seq: d[x] = 0 return d.keys() except TypeError: # Have an unhashable object, so use slow algorithm. result = [] app = result.append for x in seq: if x not in result: app(x) return result # Alias to noun form for backward compatibility. unique = uniquify def reverse_dict(d): """Reverse a dictionary so the items become the keys and vice-versa. Note: The results will be arbitrary if the items are not unique. >>> d = reverse_dict({'a': 1, 'b': 2}) >>> d_items = d.items() >>> d_items.sort() >>> d_items [(1, 'a'), (2, 'b')] """ result = {} for key, value in d.items(): result[value] = key return result def lsb(x, n): """Return the n least significant bits of x. >>> lsb(13, 3) 5 """ return x & ((2 ** n) - 1) def gray_encode(i): """Gray encode the given integer.""" return i ^ (i >> 1) def random_vec(bits, max_value=None): """Generate a random binary vector of length bits and given max value.""" vector = "" for _ in range(int(bits / 10) + 1): i = int((2**10) * random.random()) vector += int2bin(i, 10) if max_value and (max_value < 2 ** bits - 1): vector = int2bin((int(vector, 2) / (2 ** bits - 1)) * max_value, bits) return vector[0:bits] def binary_range(bits): """Return a list of all possible binary numbers in order with width=bits. It would be nice to extend it to match the functionality of python's range() built-in function. """ l = [] v = ['0'] * bits toggle = [1] + [0] * bits while toggle[bits] != 1: v_copy = v[:] v_copy.reverse() l.append(''.join(v_copy)) toggle = [1] + [0]*bits i = 0 while i < bits and toggle[i] == 1: if toggle[i]: if v[i] == '0': v[i] = '1' toggle[i+1] = 0 else: v[i] = '0' toggle[i+1] = 1 i += 1 return l def float_range(start, stop=None, step=None): """Return a list containing an arithmetic progression of floats. Return a list of floats between 0.0 (or start) and stop with an increment of step. This is in functionality to python's range() built-in function but can accept float increments. As with range(), stop is omitted from the list. """ if stop is None: stop = float(start) start = 0.0 if step is None: step = 1.0 cur = float(start) l = [] while cur < stop: l.append(cur) cur += step return l def find_common_fixes(s1, s2): """Find common (prefix, suffix) of two strings. >>> find_common_fixes('abc', 'def') ('', '') >>> find_common_fixes('abcelephantdef', 'abccowdef') ('abc', 'def') >>> find_common_fixes('abcelephantdef', 'abccow') ('abc', '') >>> find_common_fixes('elephantdef', 'abccowdef') ('', 'def') """ prefix = [] suffix = [] i = 0 common_len = min(len(s1), len(s2)) while i < common_len: if s1[i] != s2[i]: break prefix.append(s1[i]) i += 1 i = 1 while i < (common_len + 1): if s1[-i] != s2[-i]: break suffix.append(s1[-i]) i += 1 suffix.reverse() prefix = ''.join(prefix) suffix = ''.join(suffix) return (prefix, suffix) def is_rotated(seq1, seq2): """Return true if the first sequence is a rotation of the second sequence. >>> seq1 = ['A', 'B', 'C', 'D'] >>> seq2 = ['C', 'D', 'A', 'B'] >>> int(is_rotated(seq1, seq2)) 1 >>> seq2 = ['C', 'D', 'B', 'A'] >>> int(is_rotated(seq1, seq2)) 0 >>> seq1 = ['A', 'B', 'C', 'A'] >>> seq2 = ['A', 'A', 'B', 'C'] >>> int(is_rotated(seq1, seq2)) 1 >>> seq2 = ['A', 'B', 'C', 'A'] >>> int(is_rotated(seq1, seq2)) 1 >>> seq2 = ['A', 'A', 'C', 'B'] >>> int(is_rotated(seq1, seq2)) 0 """ # Do a sanity check. if len(seq1) != len(seq2): return False # Look for occurrences of second sequence head item in first sequence. start_indexes = [] head_item = seq2[0] for index1 in range(len(seq1)): if seq1[index1] == head_item: start_indexes.append(index1) # Check that wrapped sequence matches. double_seq1 = seq1 + seq1 for index1 in start_indexes: if double_seq1[index1:index1+len(seq1)] == seq2: return True return False def getmodule(obj): """Return the module that contains the object definition of obj. Note: Use inspect.getmodule instead. Arguments: obj -- python obj, generally a class or a function Examples: A function: >>> module = getmodule(random.choice) >>> module.__name__ 'random' >>> module is random 1 A class: >>> module = getmodule(random.Random) >>> module.__name__ 'random' >>> module is random 1 A class inheriting from a class in another module: (note: The inheriting class must define at least one function.) >>> class MyRandom(random.Random): ... def play(self): ... pass >>> module = getmodule(MyRandom) >>> if __name__ == '__main__': ... name = 'rad_util' ... else: ... name = module.__name__ >>> name 'rad_util' >>> module is sys.modules[__name__] 1 Discussion: This approach is slightly hackish, and won't work in various situations. However, this was the approach recommended by GvR, so it's as good as you'll get. See GvR's post in this thread: http://groups.google.com.au/group/comp.lang.python/browse_thread/thread/966a7bdee07e3b34/c3cab3f41ea84236?lnk=st&q=python+determine+class+module&rnum=4&hl=en#c3cab3f41ea84236 """ if hasattr(obj, 'func_globals'): func = obj else: # Handle classes. func = None for item in obj.__dict__.values(): if hasattr(item, 'func_globals'): func = item break if func is None: raise ValueError("No functions attached to object: %r" % obj) module_name = func.func_globals['__name__'] # Get module. module = sys.modules[module_name] return module def round_grid(value, grid, mode=0): """Round off the given value to the given grid size. Arguments: value -- value to be roudne grid -- result must be a multiple of this mode -- 0 nearest, 1 up, -1 down Examples: >>> round_grid(7.5, 5) 10 >>> round_grid(7.5, 5, mode=-1) 5 >>> round_grid(7.3, 5, mode=1) 10 >>> round_grid(7.3, 5.0, mode=1) 10.0 """ off_grid = value % grid if mode == 0: add_one = int(off_grid >= (grid / 2.0)) elif mode == 1 and off_grid: add_one = 1 elif mode == -1 and off_grid: add_one = 0 result = ((int(value / grid) + add_one) * grid) return result def get_args(argv): """Store command-line args in a dictionary. -, -- prefixes are removed Items not prefixed with - or -- are stored as a list, indexed by 'args' For options that take a value use --option=value Consider using optparse or getopt (in Python standard library) instead. """ d = {} args = [] for arg in argv: if arg.startswith('-'): parts = re.sub(r'^-+', '', arg).split('=') if len(parts) == 2: d[parts[0]] = parts[1] else: d[parts[0]] = None else: args.append(arg) d['args'] = args return d if __name__ == '__main__': import doctest doctest.testmod(sys.modules['__main__']) |
Deleted test.orc version [a26a1f1a08].
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Modified test.sco from [dabc4744e4] to [c92bf3908c].
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1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 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1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 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Modified todo.org from [109f37c970] to [510751b73f].
|
| | | | | | | > > > > > > | | | | > > > > > | | > > > > > | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 | * Features [4/10] - [X] Top-down composition - [ ] Coordinate the melody and rhythm - [X] Set maximum song length of movement per instrument - [ ] Set minimum song length of movement per instrument - [ ] Need to support all chord types - [X] Doesn't handle rest notes - [ ] Handle full ABC BNF (yeah, right, that's gonna happen...) - [X] Set instrument octave in score file - [ ] Output score to separate file - [ ] Support parallel voices - ensure e.g. a certain chord progression is always accompanied by a certain melody - [ ] Syncopation - [ ] Sustain option for notes (give score notation a sustain symbol, and use it to set how long after the notes's duration to keep holding. With sustain, the next note's start time isn't done by when the current note ends. * Bugs [5/6] - [X] TLD resets clock for each movement - [X] TLD doesn't accept an ordering for the movements - [X] Doesn't handle minor chords - [X] Calculated duration is absolute, not relative to BPM - [X] Chords don't respect octaves - [ ] Whole notes not held for proper duration * Structure [1/7] - [ ] Chords should be composed of Notes, not ordinary arrays - [ ] There should be a Musical_Phrase object that holds phrases (and sets of phrases), and allows them to nest - [ ] Does each instrument need a score parameter if the grammars are non-terminating? - [ ] Duration should be in beats, not seconds. This ensures movements don't end in the middle of a phrase. - [ ] Generate score with proper generation tools, not this string-replace nonsense - [X] Store csound score lines with instruments - [ ] Upgrade from simple string substitution for the score to something list-based (maybe). Idea is to keep musical phrases intact in the event of a truncation of the score. Also, if done right, no need for retroactive length parsing- a measure is has a specific length, which is known at generation-time, thus solving the length limit problem. |
Added topsort.py version [810c677434].
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See the GNU # Lesser General Public License for more details. # # See http://www.fsf.org/licensing/licenses/lgpl.txt for full license text. """Provide toplogical sorting (i.e. dependency sorting) functions. The topsort function is based on code posted on Usenet by Tim Peters. Modifications: - added doctests - changed some bits to use current Python idioms (listcomp instead of filter, +=/-=, inherit from Exception) - added a topsort_levels version that ports items in each dependency level into a sub-list - added find_cycles to aid in cycle debugging Run this module directly to run the doctests (unittests). Make sure they all pass before checking in any modifications. Requires Python >= 2.2 (For Python 2.2 also requires separate sets.py module) This requires the rad_util.py module. """ # Provide support for Python 2.2* from __future__ import generators __version__ = '$Revision: 0.9 $' __date__ = '$Date: 2007/03/27 04:15:26 $' __credits__ = '''Tim Peters -- original topsort code Tim Wegener -- doctesting, updating to current idioms, topsort_levels, find_cycles ''' # Make Python 2.3 sets look like Python 2.4 sets. try: set except NameError: from sets import Set as set from rad_util import is_rotated class CycleError(Exception): """Cycle Error""" pass def topsort(pairlist): """Topologically sort a list of (parent, child) pairs. Return a list of the elements in dependency order (parent to child order). >>> print topsort( [(1,2), (3,4), (5,6), (1,3), (1,5), (1,6), (2,5)] ) [1, 2, 3, 5, 4, 6] >>> print topsort( [(1,2), (1,3), (2,4), (3,4), (5,6), (4,5)] ) [1, 2, 3, 4, 5, 6] >>> print topsort( [(1,2), (2,3), (3,2)] ) Traceback (most recent call last): CycleError: ([1], {2: 1, 3: 1}, {2: [3], 3: [2]}) """ num_parents = {} # element -> # of predecessors children = {} # element -> list of successors for parent, child in pairlist: # Make sure every element is a key in num_parents. if not num_parents.has_key( parent ): num_parents[parent] = 0 if not num_parents.has_key( child ): num_parents[child] = 0 # Since child has a parent, increment child's num_parents count. num_parents[child] += 1 # ... and parent gains a child. children.setdefault(parent, []).append(child) # Suck up everything without a parent. answer = [x for x in num_parents.keys() if num_parents[x] == 0] # For everything in answer, knock down the parent count on its children. # Note that answer grows *in* the loop. for parent in answer: del num_parents[parent] if children.has_key( parent ): for child in children[parent]: num_parents[child] -= 1 if num_parents[child] == 0: answer.append( child ) # Following "del" isn't needed; just makes # CycleError details easier to grasp. del children[parent] if num_parents: # Everything in num_parents has at least one child -> # there's a cycle. raise CycleError(answer, num_parents, children) return answer def topsort_levels(pairlist): """Topologically sort a list of (parent, child) pairs into depth levels. This returns a generator. Turn this into a an iterator using the iter built-in function. (if you iterate over the iterator, each element gets generated when it is asked for, rather than generating the whole list up-front.) Each generated element is a list of items at that dependency level. >>> dependency_pairs = [(1,2), (3,4), (5,6), (1,3), (1,5), (1,6), (2,5)] >>> for level in iter(topsort_levels( dependency_pairs )): ... print level [1] [2, 3] [4, 5] [6] >>> dependency_pairs = [(1,2), (1,3), (2,4), (3,4), (5,6), (4,5)] >>> for level in iter(topsort_levels( dependency_pairs )): ... print level [1] [2, 3] [4] [5] [6] >>> dependency_pairs = [(1,2), (2,3), (3,4), (4, 3)] >>> try: ... for level in iter(topsort_levels( dependency_pairs )): ... print level ... except CycleError, exc: ... print 'CycleError:', exc [1] [2] CycleError: ({3: 1, 4: 1}, {3: [4], 4: [3]}) The cycle error should look like. CycleError: ({3: 1, 4: 1}, {3: [4], 4: [3]}) # todo: Make the doctest more robust (i.e. handle arbitrary dict order). """ num_parents = {} # element -> # of predecessors children = {} # element -> list of successors for parent, child in pairlist: # Make sure every element is a key in num_parents. if not num_parents.has_key( parent ): num_parents[parent] = 0 if not num_parents.has_key( child ): num_parents[child] = 0 # Since child has a parent, increment child's num_parents count. num_parents[child] += 1 # ... and parent gains a child. children.setdefault(parent, []).append(child) return topsort_levels_core(num_parents, children) def topsort_levels_core(num_parents, children): """Topologically sort a bunch of interdependent items based on dependency. This returns a generator. Turn this into a an iterator using the iter built-in function. (if you iterate over the iterator, each element gets generated when it is asked for, rather than generating the whole list up-front.) Each generated element is a list of items at that dependency level. >>> list(topsort_levels_core( ... {1: 0, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2}, ... {1: [2, 3, 5, 6], 2: [5], 3: [4], 4: [], 5: [6]})) [[1], [2, 3], [4, 5], [6]] >>> list(topsort_levels_core( ... {1: 0, 2: 2, 3: 1}, ... {1: [2], 2: [3], 3: [2]})) Traceback (most recent call last): CycleError: ({2: 1, 3: 1}, {2: [3], 3: [2]}) This function has a more complicated interface than topsort_levels, but is useful if the data is easier to generate in this form. Arguments: num_parents -- key: item, value: number of parents (predecessors) children -- key: item, value: list of children (successors) """ while 1: # Suck up everything without a predecessor. level_parents = [x for x in num_parents.keys() if num_parents[x] == 0] if not level_parents: break # Offer the next generated item, # which is a list of the items at this dependency level. yield level_parents # For everything item in this level, # decrement the parent count, # since we have accounted for its parent. for level_parent in level_parents: del num_parents[level_parent] if children.has_key(level_parent): for level_parent_child in children[level_parent]: num_parents[level_parent_child] -= 1 del children[level_parent] if num_parents: # Everything in num_parents has at least one child -> # there's a cycle. raise CycleError(num_parents, children) else: # This is the end of the generator. raise StopIteration def find_cycles(parent_children): """Yield cycles. Each result is a list of items comprising a cycle. Use a 'stack' based approach to find all the cycles. This is a generator, so yields each cycle as it finds it. It is implicit that the last item in each cycle list is a parent of the first item (thereby forming a cycle). Arguments: parent_children -- parent -> collection of children Simplest cycle: >>> cycles = list(find_cycles({'A': ['B'], 'B': ['A']})) >>> len(cycles) 1 >>> cycle = cycles[0] >>> cycle.sort() >>> print cycle ['A', 'B'] Simplest cycle with extra baggage at the start and the end: >>> cycles = list(find_cycles(parent_children={'A': ['B'], ... 'B': ['C'], ... 'C': ['B', 'D'], ... 'D': [], ... })) >>> len(cycles) 1 >>> cycle = cycles[0] >>> cycle.sort() >>> print cycle ['B', 'C'] Double cycle: >>> cycles = list(find_cycles(parent_children={'A': ['B'], ... 'B': ['C1', 'C2'], ... 'C1': ['D1'], ... 'D1': ['E1'], ... 'E1': ['D1'], ... 'C2': ['D2'], ... 'D2': ['E2'], ... 'E2': ['D2'], ... })) >>> len(cycles) 2 >>> for cycle in cycles: ... cycle.sort() >>> cycles.sort() >>> cycle1 = cycles[0] >>> cycle1.sort() >>> print cycle1 ['D1', 'E1'] >>> cycle2 = cycles[1] >>> cycle2.sort() >>> print cycle2 ['D2', 'E2'] Simple cycle with children not specified for one item: # todo: Should this barf instead? >>> cycles = list(find_cycles(parent_children={'A': ['B'], ... 'B': ['A'], ... 'C': ['D']})) >>> len(cycles) 1 >>> cycle = cycles[0] >>> cycle.sort() >>> print cycle ['A', 'B'] Diamond cycle >>> cycles = list(find_cycles(parent_children={'A': ['B1', 'B2'], ... 'B1': ['C'], ... 'B2': ['C'], ... 'C': ['A', 'B1']})) >>> len(cycles) 3 >>> sorted_cycles = [] >>> for cycle in cycles: ... cycle = list(cycle) ... cycle.sort() ... sorted_cycles.append(cycle) >>> sorted_cycles.sort() >>> for cycle in sorted_cycles: ... print cycle ['A', 'B1', 'C'] ['A', 'B2', 'C'] ['B1', 'C'] Hairy case (order can matter if something is wrong): (Note order of B and C in the list.) >>> cycles = list(find_cycles(parent_children={ ... 'TD': ['DD'], ... 'TC': ['DC'], ... 'DC': ['DQ'], ... 'C': ['DQ'], ... 'DQ': ['IA', 'TO'], ... 'IA': ['A'], ... 'A': ['B', 'C'], ... })) >>> len(cycles) 1 >>> cycle = cycles[0] >>> cycle.sort() >>> print cycle ['A', 'C', 'DQ', 'IA'] """ cycles = [] visited_nodes = set() for parent in parent_children: if parent in visited_nodes: # This node is part of a path that has already been traversed. continue paths = [[parent]] while paths: path = paths.pop() parent = path[-1] try: children = parent_children[parent] except KeyError: continue for child in children: # Keeping a set of the path nodes, for O(1) lookups at the # expense of more memory and complexity, actually makes speed # worse. (Due to construction of sets.) # This is O(N). if child in path: # This is a cycle. cycle = path[path.index(child):] # Check that this is not a dup cycle. is_dup = False for other_cycle in cycles: if is_rotated(other_cycle, cycle): is_dup = True break if not is_dup: cycles.append(cycle) yield cycle else: # Push this new path onto the 'stack'. # This is probably the most expensive part of the algorithm # (a list copy). paths.append(path + [child]) # Mark the node as visited. visited_nodes.add(child) if __name__ == '__main__': # Run the doctest tests. import sys import doctest doctest.testmod(sys.modules['__main__']) |