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+#!/usr/bin/env python
+# Copyright 2014 The Chromium Authors. All rights reserved.
+# Use of this source code is governed by a BSD-style license that can be
+# found in the LICENSE file.
+
+"""
+A Deterministic acyclic finite state automaton (DAFSA) is a compact
+representation of an unordered word list (dictionary).
+
+http://en.wikipedia.org/wiki/Deterministic_acyclic_finite_state_automaton
+
+This python program converts a list of strings to a byte array in C++.
+This python program fetches strings and return values from a gperf file
+and generates a C++ file with a byte array representing graph that can be
+used as a memory efficient replacement for the perfect hash table.
+
+The input strings are assumed to consist of printable 7-bit ASCII characters
+and the return values are assumed to be one digit integers.
+
+In this program a DAFSA is a diamond shaped graph starting at a common
+root node and ending at a common end node. All internal nodes contain
+a character and each word is represented by the characters in one path from
+the root node to the end node.
+
+The order of the operations is crucial since lookups will be performed
+starting from the source with no backtracking. Thus a node must have at
+most one child with a label starting by the same character. The output
+is also arranged so that all jumps are to increasing addresses, thus forward
+in memory.
+
+The generated output has suffix free decoding so that the sign of leading
+bits in a link (a reference to a child node) indicate if it has a size of one,
+two or three bytes and if it is the last outgoing link from the actual node.
+A node label is terminated by a byte with the leading bit set.
+
+The generated byte array can described by the following BNF:
+
+<byte> ::= < 8-bit value in range [0x00-0xFF] >
+
+<char> ::= < printable 7-bit ASCII character, byte in range [0x20-0x7F] >
+<end_char> ::= < char + 0x80, byte in range [0xA0-0xFF] >
+<return value> ::= < value + 0x80, byte in range [0x80-0x8F] >
+
+<offset1> ::= < byte in range [0x00-0x3F] >
+<offset2> ::= < byte in range [0x40-0x5F] >
+<offset3> ::= < byte in range [0x60-0x7F] >
+
+<end_offset1> ::= < byte in range [0x80-0xBF] >
+<end_offset2> ::= < byte in range [0xC0-0xDF] >
+<end_offset3> ::= < byte in range [0xE0-0xFF] >
+
+<prefix> ::= <char>
+
+<label> ::= <end_char>
+ | <char> <label>
+
+<end_label> ::= <return_value>
+ | <char> <end_label>
+
+<offset> ::= <offset1>
+ | <offset2> <byte>
+ | <offset3> <byte> <byte>
+
+<end_offset> ::= <end_offset1>
+ | <end_offset2> <byte>
+ | <end_offset3> <byte> <byte>
+
+<offsets> ::= <end_offset>
+ | <offset> <offsets>
+
+<source> ::= <offsets>
+
+<node> ::= <label> <offsets>
+ | <prefix> <node>
+ | <end_label>
+
+<dafsa> ::= <source>
+ | <dafsa> <node>
+
+Decoding:
+
+<char> -> printable 7-bit ASCII character
+<end_char> & 0x7F -> printable 7-bit ASCII character
+<return value> & 0x0F -> integer
+<offset1 & 0x3F> -> integer
+((<offset2> & 0x1F>) << 8) + <byte> -> integer
+((<offset3> & 0x1F>) << 16) + (<byte> << 8) + <byte> -> integer
+
+end_offset1, end_offset2 and and_offset3 are decoded same as offset1,
+offset2 and offset3 respectively.
+
+The first offset in a list of offsets is the distance in bytes between the
+offset itself and the first child node. Subsequent offsets are the distance
+between previous child node and next child node. Thus each offset links a node
+to a child node. The distance is always counted between start addresses, i.e.
+first byte in decoded offset or first byte in child node.
+
+Example 1:
+
+%%
+aa, 1
+a, 2
+%%
+
+The input is first parsed to a list of words:
+["aa1", "a2"]
+
+This produces the following graph:
+[root] --- a --- 0x02 --- [end]
+ | /
+ | /
+ - a --- 0x01
+
+A C++ representation of the compressed graph is generated:
+
+const unsigned char dafsa[7] = {
+ 0x81, 0xE1, 0x02, 0x81, 0x82, 0x61, 0x81,
+};
+
+The bytes in the generated array has the following meaning:
+
+ 0: 0x81 <end_offset1> child at position 0 + (0x81 & 0x3F) -> jump to 1
+
+ 1: 0xE1 <end_char> label character (0xE1 & 0x7F) -> match "a"
+ 2: 0x02 <offset1> child at position 2 + (0x02 & 0x3F) -> jump to 4
+
+ 3: 0x81 <end_offset1> child at position 4 + (0x81 & 0x3F) -> jump to 5
+ 4: 0x82 <return_value> 0x82 & 0x0F -> return 2
+
+ 5: 0x61 <char> label character 0x61 -> match "a"
+ 6: 0x81 <return_value> 0x81 & 0x0F -> return 1
+
+Example 2:
+
+%%
+aa, 1
+bbb, 2
+baa, 1
+%%
+
+The input is first parsed to a list of words:
+["aa1", "bbb2", "baa1"]
+
+This produces the following graph:
+[root] --- a --- a --- 0x01 --- [end]
+ | / / /
+ | / / /
+ - b --- b --- b --- 0x02
+
+A C++ representation of the compressed graph is generated:
+
+const unsigned char dafsa[11] = {
+ 0x02, 0x83, 0xE2, 0x02, 0x83, 0x61, 0x61, 0x81, 0x62, 0x62, 0x82,
+};
+
+The bytes in the generated array has the following meaning:
+
+ 0: 0x02 <offset1> child at position 0 + (0x02 & 0x3F) -> jump to 2
+ 1: 0x83 <end_offset1> child at position 2 + (0x83 & 0x3F) -> jump to 5
+
+ 2: 0xE2 <end_char> label character (0xE2 & 0x7F) -> match "b"
+ 3: 0x02 <offset1> child at position 3 + (0x02 & 0x3F) -> jump to 5
+ 4: 0x83 <end_offset1> child at position 5 + (0x83 & 0x3F) -> jump to 8
+
+ 5: 0x61 <char> label character 0x61 -> match "a"
+ 6: 0x61 <char> label character 0x61 -> match "a"
+ 7: 0x81 <return_value> 0x81 & 0x0F -> return 1
+
+ 8: 0x62 <char> label character 0x62 -> match "b"
+ 9: 0x62 <char> label character 0x62 -> match "b"
+10: 0x82 <return_value> 0x82 & 0x0F -> return 2
+"""
+import struct
+import sys
+
+from incremental_dafsa import Dafsa, Node
+
+
+class InputError(Exception):
+ """Exception raised for errors in the input file."""
+
+
+def top_sort(dafsa: Dafsa):
+ """Generates list of nodes in topological sort order."""
+ incoming = {}
+
+ def count_incoming(node: Node):
+ """Counts incoming references."""
+ if not node.is_end_node:
+ if id(node) not in incoming:
+ incoming[id(node)] = 1
+ for child in node.children.values():
+ count_incoming(child)
+ else:
+ incoming[id(node)] += 1
+
+ for node in dafsa.root_node.children.values():
+ count_incoming(node)
+
+ for node in dafsa.root_node.children.values():
+ incoming[id(node)] -= 1
+
+ waiting = [
+ node for node in dafsa.root_node.children.values() if incoming[id(node)] == 0
+ ]
+ nodes = []
+
+ while waiting:
+ node = waiting.pop()
+ assert incoming[id(node)] == 0
+ nodes.append(node)
+ for child in node.children.values():
+ if not child.is_end_node:
+ incoming[id(child)] -= 1
+ if incoming[id(child)] == 0:
+ waiting.append(child)
+ return nodes
+
+
+def encode_links(node: Node, offsets, current):
+ """Encodes a list of children as one, two or three byte offsets."""
+ if next(iter(node.children.values())).is_end_node:
+ # This is an <end_label> node and no links follow such nodes
+ return []
+ guess = 3 * len(node.children)
+ assert node.children
+
+ children = sorted(node.children.values(), key=lambda x: -offsets[id(x)])
+ while True:
+ offset = current + guess
+ buf = []
+ for child in children:
+ last = len(buf)
+ distance = offset - offsets[id(child)]
+ assert distance > 0 and distance < (1 << 21)
+
+ if distance < (1 << 6):
+ # A 6-bit offset: "s0xxxxxx"
+ buf.append(distance)
+ elif distance < (1 << 13):
+ # A 13-bit offset: "s10xxxxxxxxxxxxx"
+ buf.append(0x40 | (distance >> 8))
+ buf.append(distance & 0xFF)
+ else:
+ # A 21-bit offset: "s11xxxxxxxxxxxxxxxxxxxxx"
+ buf.append(0x60 | (distance >> 16))
+ buf.append((distance >> 8) & 0xFF)
+ buf.append(distance & 0xFF)
+ # Distance in first link is relative to following record.
+ # Distance in other links are relative to previous link.
+ offset -= distance
+ if len(buf) == guess:
+ break
+ guess = len(buf)
+ # Set most significant bit to mark end of links in this node.
+ buf[last] |= 1 << 7
+ buf.reverse()
+ return buf
+
+
+def encode_prefix(label):
+ """Encodes a node label as a list of bytes without a trailing high byte.
+
+ This method encodes a node if there is exactly one child and the
+ child follows immediately after so that no jump is needed. This label
+ will then be a prefix to the label in the child node.
+ """
+ assert label
+ return [ord(c) for c in reversed(label)]
+
+
+def encode_label(label):
+ """Encodes a node label as a list of bytes with a trailing high byte >0x80."""
+ buf = encode_prefix(label)
+ # Set most significant bit to mark end of label in this node.
+ buf[0] |= 1 << 7
+ return buf
+
+
+def encode(dafsa: Dafsa):
+ """Encodes a DAFSA to a list of bytes"""
+ output = []
+ offsets = {}
+
+ for node in reversed(top_sort(dafsa)):
+ if (
+ len(node.children) == 1
+ and not next(iter(node.children.values())).is_end_node
+ and (offsets[id(next(iter(node.children.values())))] == len(output))
+ ):
+ output.extend(encode_prefix(node.character))
+ else:
+ output.extend(encode_links(node, offsets, len(output)))
+ output.extend(encode_label(node.character))
+ offsets[id(node)] = len(output)
+
+ output.extend(encode_links(dafsa.root_node, offsets, len(output)))
+ output.reverse()
+ return output
+
+
+def to_cxx(data, preamble=None):
+ """Generates C++ code from a list of encoded bytes."""
+ text = "/* This file is generated. DO NOT EDIT!\n\n"
+ text += "The byte array encodes a dictionary of strings and values. See "
+ text += "make_dafsa.py for documentation."
+ text += "*/\n\n"
+
+ if preamble:
+ text += preamble
+ text += "\n\n"
+
+ text += "const unsigned char kDafsa[%s] = {\n" % len(data)
+ for i in range(0, len(data), 12):
+ text += " "
+ text += ", ".join("0x%02x" % byte for byte in data[i : i + 12])
+ text += ",\n"
+ text += "};\n"
+ return text
+
+
+def words_to_cxx(words, preamble=None):
+ """Generates C++ code from a word list"""
+ dafsa = Dafsa.from_tld_data(words)
+ return to_cxx(encode(dafsa), preamble)
+
+
+def words_to_bin(words):
+ """Generates bytes from a word list"""
+ dafsa = Dafsa.from_tld_data(words)
+ data = encode(dafsa)
+ return struct.pack("%dB" % len(data), *data)
+
+
+def parse_gperf(infile):
+ """Parses gperf file and extract strings and return code"""
+ lines = [line.strip() for line in infile]
+
+ # Extract the preamble.
+ first_delimeter = lines.index("%%")
+ preamble = "\n".join(lines[0:first_delimeter])
+
+ # Extract strings after the first '%%' and before the second '%%'.
+ begin = first_delimeter + 1
+ end = lines.index("%%", begin)
+ lines = lines[begin:end]
+ for line in lines:
+ if line[-3:-1] != ", ":
+ raise InputError('Expected "domainname, <digit>", found "%s"' % line)
+ # Technically the DAFSA format could support return values in range [0-31],
+ # but the values below are the only with a defined meaning.
+ if line[-1] not in "0124":
+ raise InputError(
+ 'Expected value to be one of {0,1,2,4}, found "%s"' % line[-1]
+ )
+ return (preamble, [line[:-3] + line[-1] for line in lines])
+
+
+def main(outfile, infile):
+ with open(infile, "r") as infile:
+ preamble, words = parse_gperf(infile)
+ outfile.write(words_to_cxx(words, preamble))
+ return 0
+
+
+if __name__ == "__main__":
+ if len(sys.argv) != 3:
+ print("usage: %s infile outfile" % sys.argv[0])
+ sys.exit(1)
+
+ with open(sys.argv[2], "w") as outfile:
+ sys.exit(main(outfile, sys.argv[1]))