ref: 065c3557af8de1b20d94c2e86a4a29c5d33ccc67
dir: /sys/src/cmd/python/Tools/unicode/makeunicodedata.py/
# # (re)generate unicode property and type databases # # this script converts a unicode 3.2 database file to # Modules/unicodedata_db.h, Modules/unicodename_db.h, # and Objects/unicodetype_db.h # # history: # 2000-09-24 fl created (based on bits and pieces from unidb) # 2000-09-25 fl merged tim's splitbin fixes, separate decomposition table # 2000-09-25 fl added character type table # 2000-09-26 fl added LINEBREAK, DECIMAL, and DIGIT flags/fields (2.0) # 2000-11-03 fl expand first/last ranges # 2001-01-19 fl added character name tables (2.1) # 2001-01-21 fl added decomp compression; dynamic phrasebook threshold # 2002-09-11 wd use string methods # 2002-10-18 mvl update to Unicode 3.2 # 2002-10-22 mvl generate NFC tables # 2002-11-24 mvl expand all ranges, sort names version-independently # 2002-11-25 mvl add UNIDATA_VERSION # 2004-05-29 perky add east asian width information # 2006-03-10 mvl update to Unicode 4.1; add UCD 3.2 delta # # written by Fredrik Lundh ([email protected]) # import sys SCRIPT = sys.argv[0] VERSION = "2.5" # The Unicode Database UNIDATA_VERSION = "4.1.0" UNICODE_DATA = "UnicodeData%s.txt" COMPOSITION_EXCLUSIONS = "CompositionExclusions%s.txt" EASTASIAN_WIDTH = "EastAsianWidth%s.txt" old_versions = ["3.2.0"] CATEGORY_NAMES = [ "Cn", "Lu", "Ll", "Lt", "Mn", "Mc", "Me", "Nd", "Nl", "No", "Zs", "Zl", "Zp", "Cc", "Cf", "Cs", "Co", "Cn", "Lm", "Lo", "Pc", "Pd", "Ps", "Pe", "Pi", "Pf", "Po", "Sm", "Sc", "Sk", "So" ] BIDIRECTIONAL_NAMES = [ "", "L", "LRE", "LRO", "R", "AL", "RLE", "RLO", "PDF", "EN", "ES", "ET", "AN", "CS", "NSM", "BN", "B", "S", "WS", "ON" ] EASTASIANWIDTH_NAMES = [ "F", "H", "W", "Na", "A", "N" ] # note: should match definitions in Objects/unicodectype.c ALPHA_MASK = 0x01 DECIMAL_MASK = 0x02 DIGIT_MASK = 0x04 LOWER_MASK = 0x08 LINEBREAK_MASK = 0x10 SPACE_MASK = 0x20 TITLE_MASK = 0x40 UPPER_MASK = 0x80 def maketables(trace=0): print "--- Reading", UNICODE_DATA % "", "..." version = "" unicode = UnicodeData(UNICODE_DATA % version, COMPOSITION_EXCLUSIONS % version, EASTASIAN_WIDTH % version) print len(filter(None, unicode.table)), "characters" for version in old_versions: print "--- Reading", UNICODE_DATA % ("-"+version), "..." old_unicode = UnicodeData(UNICODE_DATA % ("-"+version), COMPOSITION_EXCLUSIONS % ("-"+version), EASTASIAN_WIDTH % ("-"+version)) print len(filter(None, old_unicode.table)), "characters" merge_old_version(version, unicode, old_unicode) makeunicodename(unicode, trace) makeunicodedata(unicode, trace) makeunicodetype(unicode, trace) # -------------------------------------------------------------------- # unicode character properties def makeunicodedata(unicode, trace): dummy = (0, 0, 0, 0, 0) table = [dummy] cache = {0: dummy} index = [0] * len(unicode.chars) FILE = "Modules/unicodedata_db.h" print "--- Preparing", FILE, "..." # 1) database properties for char in unicode.chars: record = unicode.table[char] if record: # extract database properties category = CATEGORY_NAMES.index(record[2]) combining = int(record[3]) bidirectional = BIDIRECTIONAL_NAMES.index(record[4]) mirrored = record[9] == "Y" eastasianwidth = EASTASIANWIDTH_NAMES.index(record[15]) item = ( category, combining, bidirectional, mirrored, eastasianwidth ) # add entry to index and item tables i = cache.get(item) if i is None: cache[item] = i = len(table) table.append(item) index[char] = i # 2) decomposition data decomp_data = [0] decomp_prefix = [""] decomp_index = [0] * len(unicode.chars) decomp_size = 0 comp_pairs = [] comp_first = [None] * len(unicode.chars) comp_last = [None] * len(unicode.chars) for char in unicode.chars: record = unicode.table[char] if record: if record[5]: decomp = record[5].split() if len(decomp) > 19: raise Exception, "character %x has a decomposition too large for nfd_nfkd" % char # prefix if decomp[0][0] == "<": prefix = decomp.pop(0) else: prefix = "" try: i = decomp_prefix.index(prefix) except ValueError: i = len(decomp_prefix) decomp_prefix.append(prefix) prefix = i assert prefix < 256 # content decomp = [prefix + (len(decomp)<<8)] +\ map(lambda s: int(s, 16), decomp) # Collect NFC pairs if not prefix and len(decomp) == 3 and \ char not in unicode.exclusions and \ unicode.table[decomp[1]][3] == "0": p, l, r = decomp comp_first[l] = 1 comp_last[r] = 1 comp_pairs.append((l,r,char)) try: i = decomp_data.index(decomp) except ValueError: i = len(decomp_data) decomp_data.extend(decomp) decomp_size = decomp_size + len(decomp) * 2 else: i = 0 decomp_index[char] = i f = l = 0 comp_first_ranges = [] comp_last_ranges = [] prev_f = prev_l = None for i in unicode.chars: if comp_first[i] is not None: comp_first[i] = f f += 1 if prev_f is None: prev_f = (i,i) elif prev_f[1]+1 == i: prev_f = prev_f[0],i else: comp_first_ranges.append(prev_f) prev_f = (i,i) if comp_last[i] is not None: comp_last[i] = l l += 1 if prev_l is None: prev_l = (i,i) elif prev_l[1]+1 == i: prev_l = prev_l[0],i else: comp_last_ranges.append(prev_l) prev_l = (i,i) comp_first_ranges.append(prev_f) comp_last_ranges.append(prev_l) total_first = f total_last = l comp_data = [0]*(total_first*total_last) for f,l,char in comp_pairs: f = comp_first[f] l = comp_last[l] comp_data[f*total_last+l] = char print len(table), "unique properties" print len(decomp_prefix), "unique decomposition prefixes" print len(decomp_data), "unique decomposition entries:", print decomp_size, "bytes" print total_first, "first characters in NFC" print total_last, "last characters in NFC" print len(comp_pairs), "NFC pairs" print "--- Writing", FILE, "..." fp = open(FILE, "w") print >>fp, "/* this file was generated by %s %s */" % (SCRIPT, VERSION) print >>fp print >>fp, '#define UNIDATA_VERSION "%s"' % UNIDATA_VERSION print >>fp, "/* a list of unique database records */" print >>fp, \ "const _PyUnicode_DatabaseRecord _PyUnicode_Database_Records[] = {" for item in table: print >>fp, " {%d, %d, %d, %d, %d}," % item print >>fp, "};" print >>fp print >>fp, "/* Reindexing of NFC first characters. */" print >>fp, "#define TOTAL_FIRST",total_first print >>fp, "#define TOTAL_LAST",total_last print >>fp, "struct reindex{int start;short count,index;};" print >>fp, "struct reindex nfc_first[] = {" for start,end in comp_first_ranges: print >>fp," { %d, %d, %d}," % (start,end-start,comp_first[start]) print >>fp," {0,0,0}" print >>fp,"};\n" print >>fp, "struct reindex nfc_last[] = {" for start,end in comp_last_ranges: print >>fp," { %d, %d, %d}," % (start,end-start,comp_last[start]) print >>fp," {0,0,0}" print >>fp,"};\n" # FIXME: <fl> the following tables could be made static, and # the support code moved into unicodedatabase.c print >>fp, "/* string literals */" print >>fp, "const char *_PyUnicode_CategoryNames[] = {" for name in CATEGORY_NAMES: print >>fp, " \"%s\"," % name print >>fp, " NULL" print >>fp, "};" print >>fp, "const char *_PyUnicode_BidirectionalNames[] = {" for name in BIDIRECTIONAL_NAMES: print >>fp, " \"%s\"," % name print >>fp, " NULL" print >>fp, "};" print >>fp, "const char *_PyUnicode_EastAsianWidthNames[] = {" for name in EASTASIANWIDTH_NAMES: print >>fp, " \"%s\"," % name print >>fp, " NULL" print >>fp, "};" print >>fp, "static const char *decomp_prefix[] = {" for name in decomp_prefix: print >>fp, " \"%s\"," % name print >>fp, " NULL" print >>fp, "};" # split record index table index1, index2, shift = splitbins(index, trace) print >>fp, "/* index tables for the database records */" print >>fp, "#define SHIFT", shift Array("index1", index1).dump(fp, trace) Array("index2", index2).dump(fp, trace) # split decomposition index table index1, index2, shift = splitbins(decomp_index, trace) print >>fp, "/* decomposition data */" Array("decomp_data", decomp_data).dump(fp, trace) print >>fp, "/* index tables for the decomposition data */" print >>fp, "#define DECOMP_SHIFT", shift Array("decomp_index1", index1).dump(fp, trace) Array("decomp_index2", index2).dump(fp, trace) index, index2, shift = splitbins(comp_data, trace) print >>fp, "/* NFC pairs */" print >>fp, "#define COMP_SHIFT", shift Array("comp_index", index).dump(fp, trace) Array("comp_data", index2).dump(fp, trace) # Generate delta tables for old versions for version, table, normalization in unicode.changed: cversion = version.replace(".","_") records = [table[0]] cache = {table[0]:0} index = [0] * len(table) for i, record in enumerate(table): try: index[i] = cache[record] except KeyError: index[i] = cache[record] = len(records) records.append(record) index1, index2, shift = splitbins(index, trace) print >>fp, "static const change_record change_records_%s[] = {" % cversion for record in records: print >>fp, "\t{ %s }," % ", ".join(map(str,record)) print >>fp, "};" Array("changes_%s_index" % cversion, index1).dump(fp, trace) Array("changes_%s_data" % cversion, index2).dump(fp, trace) print >>fp, "static const change_record* get_change_%s(Py_UCS4 n)" % cversion print >>fp, "{" print >>fp, "\tint index;" print >>fp, "\tif (n >= 0x110000) index = 0;" print >>fp, "\telse {" print >>fp, "\t\tindex = changes_%s_index[n>>%d];" % (cversion, shift) print >>fp, "\t\tindex = changes_%s_data[(index<<%d)+(n & %d)];" % \ (cversion, shift, ((1<<shift)-1)) print >>fp, "\t}" print >>fp, "\treturn change_records_%s+index;" % cversion print >>fp, "}\n" print >>fp, "static Py_UCS4 normalization_%s(Py_UCS4 n)" % cversion print >>fp, "{" print >>fp, "\tswitch(n) {" for k, v in normalization: print >>fp, "\tcase %s: return 0x%s;" % (hex(k), v) print >>fp, "\tdefault: return 0;" print >>fp, "\t}\n}\n" fp.close() # -------------------------------------------------------------------- # unicode character type tables def makeunicodetype(unicode, trace): FILE = "Objects/unicodetype_db.h" print "--- Preparing", FILE, "..." # extract unicode types dummy = (0, 0, 0, 0, 0, 0) table = [dummy] cache = {0: dummy} index = [0] * len(unicode.chars) for char in unicode.chars: record = unicode.table[char] if record: # extract database properties category = record[2] bidirectional = record[4] flags = 0 if category in ["Lm", "Lt", "Lu", "Ll", "Lo"]: flags |= ALPHA_MASK if category == "Ll": flags |= LOWER_MASK if category == "Zl" or bidirectional == "B": flags |= LINEBREAK_MASK if category == "Zs" or bidirectional in ("WS", "B", "S"): flags |= SPACE_MASK if category == "Lt": flags |= TITLE_MASK if category == "Lu": flags |= UPPER_MASK # use delta predictor for upper/lower/title if record[12]: upper = int(record[12], 16) - char assert -32768 <= upper <= 32767 upper = upper & 0xffff else: upper = 0 if record[13]: lower = int(record[13], 16) - char assert -32768 <= lower <= 32767 lower = lower & 0xffff else: lower = 0 if record[14]: title = int(record[14], 16) - char assert -32768 <= lower <= 32767 title = title & 0xffff else: title = 0 # decimal digit, integer digit decimal = 0 if record[6]: flags |= DECIMAL_MASK decimal = int(record[6]) digit = 0 if record[7]: flags |= DIGIT_MASK digit = int(record[7]) item = ( upper, lower, title, decimal, digit, flags ) # add entry to index and item tables i = cache.get(item) if i is None: cache[item] = i = len(table) table.append(item) index[char] = i print len(table), "unique character type entries" print "--- Writing", FILE, "..." fp = open(FILE, "w") print >>fp, "/* this file was generated by %s %s */" % (SCRIPT, VERSION) print >>fp print >>fp, "/* a list of unique character type descriptors */" print >>fp, "const _PyUnicode_TypeRecord _PyUnicode_TypeRecords[] = {" for item in table: print >>fp, " {%d, %d, %d, %d, %d, %d}," % item print >>fp, "};" print >>fp # split decomposition index table index1, index2, shift = splitbins(index, trace) print >>fp, "/* type indexes */" print >>fp, "#define SHIFT", shift Array("index1", index1).dump(fp, trace) Array("index2", index2).dump(fp, trace) fp.close() # -------------------------------------------------------------------- # unicode name database def makeunicodename(unicode, trace): FILE = "Modules/unicodename_db.h" print "--- Preparing", FILE, "..." # collect names names = [None] * len(unicode.chars) for char in unicode.chars: record = unicode.table[char] if record: name = record[1].strip() if name and name[0] != "<": names[char] = name + chr(0) print len(filter(lambda n: n is not None, names)), "distinct names" # collect unique words from names (note that we differ between # words inside a sentence, and words ending a sentence. the # latter includes the trailing null byte. words = {} n = b = 0 for char in unicode.chars: name = names[char] if name: w = name.split() b = b + len(name) n = n + len(w) for w in w: l = words.get(w) if l: l.append(None) else: words[w] = [len(words)] print n, "words in text;", b, "bytes" wordlist = words.items() # sort on falling frequency, then by name def cmpwords((aword, alist),(bword, blist)): r = -cmp(len(alist),len(blist)) if r: return r return cmp(aword, bword) wordlist.sort(cmpwords) # figure out how many phrasebook escapes we need escapes = 0 while escapes * 256 < len(wordlist): escapes = escapes + 1 print escapes, "escapes" short = 256 - escapes assert short > 0 print short, "short indexes in lexicon" # statistics n = 0 for i in range(short): n = n + len(wordlist[i][1]) print n, "short indexes in phrasebook" # pick the most commonly used words, and sort the rest on falling # length (to maximize overlap) wordlist, wordtail = wordlist[:short], wordlist[short:] wordtail.sort(lambda a, b: len(b[0])-len(a[0])) wordlist.extend(wordtail) # generate lexicon from words lexicon_offset = [0] lexicon = "" words = {} # build a lexicon string offset = 0 for w, x in wordlist: # encoding: bit 7 indicates last character in word (chr(128) # indicates the last character in an entire string) ww = w[:-1] + chr(ord(w[-1])+128) # reuse string tails, when possible o = lexicon.find(ww) if o < 0: o = offset lexicon = lexicon + ww offset = offset + len(w) words[w] = len(lexicon_offset) lexicon_offset.append(o) lexicon = map(ord, lexicon) # generate phrasebook from names and lexicon phrasebook = [0] phrasebook_offset = [0] * len(unicode.chars) for char in unicode.chars: name = names[char] if name: w = name.split() phrasebook_offset[char] = len(phrasebook) for w in w: i = words[w] if i < short: phrasebook.append(i) else: # store as two bytes phrasebook.append((i>>8) + short) phrasebook.append(i&255) assert getsize(phrasebook) == 1 # # unicode name hash table # extract names data = [] for char in unicode.chars: record = unicode.table[char] if record: name = record[1].strip() if name and name[0] != "<": data.append((name, char)) # the magic number 47 was chosen to minimize the number of # collisions on the current data set. if you like, change it # and see what happens... codehash = Hash("code", data, 47) print "--- Writing", FILE, "..." fp = open(FILE, "w") print >>fp, "/* this file was generated by %s %s */" % (SCRIPT, VERSION) print >>fp print >>fp, "#define NAME_MAXLEN", 256 print >>fp print >>fp, "/* lexicon */" Array("lexicon", lexicon).dump(fp, trace) Array("lexicon_offset", lexicon_offset).dump(fp, trace) # split decomposition index table offset1, offset2, shift = splitbins(phrasebook_offset, trace) print >>fp, "/* code->name phrasebook */" print >>fp, "#define phrasebook_shift", shift print >>fp, "#define phrasebook_short", short Array("phrasebook", phrasebook).dump(fp, trace) Array("phrasebook_offset1", offset1).dump(fp, trace) Array("phrasebook_offset2", offset2).dump(fp, trace) print >>fp, "/* name->code dictionary */" codehash.dump(fp, trace) fp.close() def merge_old_version(version, new, old): # Changes to exclusion file not implemented yet if old.exclusions != new.exclusions: raise NotImplementedError, "exclusions differ" # In these change records, 0xFF means "no change" bidir_changes = [0xFF]*0x110000 category_changes = [0xFF]*0x110000 decimal_changes = [0xFF]*0x110000 # In numeric data, 0 means "no change", # -1 means "did not have a numeric value numeric_changes = [0] * 0x110000 # normalization_changes is a list of key-value pairs normalization_changes = [] for i in range(0x110000): if new.table[i] is None: # Characters unassigned in the new version ought to # be unassigned in the old one assert old.table[i] is None continue # check characters unassigned in the old version if old.table[i] is None: # category 0 is "unassigned" category_changes[i] = 0 continue # check characters that differ if old.table[i] != new.table[i]: for k in range(len(old.table[i])): if old.table[i][k] != new.table[i][k]: value = old.table[i][k] if k == 2: #print "CATEGORY",hex(i), old.table[i][k], new.table[i][k] category_changes[i] = CATEGORY_NAMES.index(value) elif k == 4: #print "BIDIR",hex(i), old.table[i][k], new.table[i][k] bidir_changes[i] = BIDIRECTIONAL_NAMES.index(value) elif k == 5: #print "DECOMP",hex(i), old.table[i][k], new.table[i][k] # We assume that all normalization changes are in 1:1 mappings assert " " not in value normalization_changes.append((i, value)) elif k == 6: #print "DECIMAL",hex(i), old.table[i][k], new.table[i][k] # we only support changes where the old value is a single digit assert value in "0123456789" decimal_changes[i] = int(value) elif k == 8: # print "NUMERIC",hex(i), `old.table[i][k]`, new.table[i][k] # Since 0 encodes "no change", the old value is better not 0 assert value != "0" and value != "-1" if not value: numeric_changes[i] = -1 else: assert re.match("^[0-9]+$", value) numeric_changes[i] = int(value) elif k == 11: # change to ISO comment, ignore pass elif k == 12: # change to simple uppercase mapping; ignore pass elif k == 13: # change to simple lowercase mapping; ignore pass elif k == 14: # change to simple titlecase mapping; ignore pass else: class Difference(Exception):pass raise Difference, (hex(i), k, old.table[i], new.table[i]) new.changed.append((version, zip(bidir_changes, category_changes, decimal_changes, numeric_changes), normalization_changes)) # -------------------------------------------------------------------- # the following support code is taken from the unidb utilities # Copyright (c) 1999-2000 by Secret Labs AB # load a unicode-data file from disk import sys class UnicodeData: def __init__(self, filename, exclusions, eastasianwidth, expand=1): self.changed = [] file = open(filename) table = [None] * 0x110000 while 1: s = file.readline() if not s: break s = s.strip().split(";") char = int(s[0], 16) table[char] = s # expand first-last ranges if expand: field = None for i in range(0, 0x110000): s = table[i] if s: if s[1][-6:] == "First>": s[1] = "" field = s elif s[1][-5:] == "Last>": s[1] = "" field = None elif field: f2 = field[:] f2[0] = "%X" % i table[i] = f2 # public attributes self.filename = filename self.table = table self.chars = range(0x110000) # unicode 3.2 file = open(exclusions) self.exclusions = {} for s in file: s = s.strip() if not s: continue if s[0] == '#': continue char = int(s.split()[0],16) self.exclusions[char] = 1 widths = [None] * 0x110000 for s in open(eastasianwidth): s = s.strip() if not s: continue if s[0] == '#': continue s = s.split()[0].split(';') if '..' in s[0]: first, last = [int(c, 16) for c in s[0].split('..')] chars = range(first, last+1) else: chars = [int(s[0], 16)] for char in chars: widths[char] = s[1] for i in range(0, 0x110000): if table[i] is not None: table[i].append(widths[i]) def uselatin1(self): # restrict character range to ISO Latin 1 self.chars = range(256) # hash table tools # this is a straight-forward reimplementation of Python's built-in # dictionary type, using a static data structure, and a custom string # hash algorithm. def myhash(s, magic): h = 0 for c in map(ord, s.upper()): h = (h * magic) + c ix = h & 0xff000000L if ix: h = (h ^ ((ix>>24) & 0xff)) & 0x00ffffff return h SIZES = [ (4,3), (8,3), (16,3), (32,5), (64,3), (128,3), (256,29), (512,17), (1024,9), (2048,5), (4096,83), (8192,27), (16384,43), (32768,3), (65536,45), (131072,9), (262144,39), (524288,39), (1048576,9), (2097152,5), (4194304,3), (8388608,33), (16777216,27) ] class Hash: def __init__(self, name, data, magic): # turn a (key, value) list into a static hash table structure # determine table size for size, poly in SIZES: if size > len(data): poly = size + poly break else: raise AssertionError, "ran out of polynominals" print size, "slots in hash table" table = [None] * size mask = size-1 n = 0 hash = myhash # initialize hash table for key, value in data: h = hash(key, magic) i = (~h) & mask v = table[i] if v is None: table[i] = value continue incr = (h ^ (h >> 3)) & mask; if not incr: incr = mask while 1: n = n + 1 i = (i + incr) & mask v = table[i] if v is None: table[i] = value break incr = incr << 1 if incr > mask: incr = incr ^ poly print n, "collisions" self.collisions = n for i in range(len(table)): if table[i] is None: table[i] = 0 self.data = Array(name + "_hash", table) self.magic = magic self.name = name self.size = size self.poly = poly def dump(self, file, trace): # write data to file, as a C array self.data.dump(file, trace) file.write("#define %s_magic %d\n" % (self.name, self.magic)) file.write("#define %s_size %d\n" % (self.name, self.size)) file.write("#define %s_poly %d\n" % (self.name, self.poly)) # stuff to deal with arrays of unsigned integers class Array: def __init__(self, name, data): self.name = name self.data = data def dump(self, file, trace=0): # write data to file, as a C array size = getsize(self.data) if trace: print >>sys.stderr, self.name+":", size*len(self.data), "bytes" file.write("static ") if size == 1: file.write("unsigned char") elif size == 2: file.write("unsigned short") else: file.write("unsigned int") file.write(" " + self.name + "[] = {\n") if self.data: s = " " for item in self.data: i = str(item) + ", " if len(s) + len(i) > 78: file.write(s + "\n") s = " " + i else: s = s + i if s.strip(): file.write(s + "\n") file.write("};\n\n") def getsize(data): # return smallest possible integer size for the given array maxdata = max(data) if maxdata < 256: return 1 elif maxdata < 65536: return 2 else: return 4 def splitbins(t, trace=0): """t, trace=0 -> (t1, t2, shift). Split a table to save space. t is a sequence of ints. This function can be useful to save space if many of the ints are the same. t1 and t2 are lists of ints, and shift is an int, chosen to minimize the combined size of t1 and t2 (in C code), and where for each i in range(len(t)), t[i] == t2[(t1[i >> shift] << shift) + (i & mask)] where mask is a bitmask isolating the last "shift" bits. If optional arg trace is non-zero (default zero), progress info is printed to sys.stderr. The higher the value, the more info you'll get. """ import sys if trace: def dump(t1, t2, shift, bytes): print >>sys.stderr, "%d+%d bins at shift %d; %d bytes" % ( len(t1), len(t2), shift, bytes) print >>sys.stderr, "Size of original table:", len(t)*getsize(t), \ "bytes" n = len(t)-1 # last valid index maxshift = 0 # the most we can shift n and still have something left if n > 0: while n >> 1: n >>= 1 maxshift += 1 del n bytes = sys.maxint # smallest total size so far t = tuple(t) # so slices can be dict keys for shift in range(maxshift + 1): t1 = [] t2 = [] size = 2**shift bincache = {} for i in range(0, len(t), size): bin = t[i:i+size] index = bincache.get(bin) if index is None: index = len(t2) bincache[bin] = index t2.extend(bin) t1.append(index >> shift) # determine memory size b = len(t1)*getsize(t1) + len(t2)*getsize(t2) if trace > 1: dump(t1, t2, shift, b) if b < bytes: best = t1, t2, shift bytes = b t1, t2, shift = best if trace: print >>sys.stderr, "Best:", dump(t1, t2, shift, bytes) if __debug__: # exhaustively verify that the decomposition is correct mask = ~((~0) << shift) # i.e., low-bit mask of shift bits for i in xrange(len(t)): assert t[i] == t2[(t1[i >> shift] << shift) + (i & mask)] return best if __name__ == "__main__": maketables(1)