539 lines
21 KiB
Python
539 lines
21 KiB
Python
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#!/usr/bin/env python3
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# Copyright (c) 2024, the SerenityOS developers.
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# Copyright (c) 2026-present, the Ladybird developers.
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#
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# SPDX-License-Identifier: BSD-2-Clause
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# The goal is to encode the necessary data compactly while still allowing for fast matching of
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# named character references, and taking full advantage of the note in the spec[1] that:
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#
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# > This list [of named character references] is static and will not be expanded or changed in the future.
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#
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# An overview of the approach taken (see [2] for more background/context):
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#
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# First, a deterministic acyclic finite state automaton (DAFSA) [3] is constructed from the set of
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# named character references. The nodes in the DAFSA are populated with a "number" field that
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# represents the count of all possible valid words from that node. This "number" field allows for
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# minimal perfect hashing, where each word in the set corresponds to a unique index. The unique
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# index of a word in the set is calculated during traversal/search of the DAFSA:
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# - For any non-matching node that is iterated when searching a list of children, add their number
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# to the unique index
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# - For nodes that match the current character, if the node is a valid end-of-word, add 1 to the
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# unique index
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# Note that "searching a list of children" is assumed to use a linear scan, so, for example, if
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# a list of children contained 'a', 'b', 'c', and 'd' (in that order), and the character 'c' was
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# being searched for, then the "number" of both 'a' and 'b' would get added to the unique index,
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# and then 1 would be added after matching 'c' (this minimal perfect hashing strategy comes from [4]).
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#
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# Something worth noting is that a DAFSA can be used with the set of named character references
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# (with minimal perfect hashing) while keeping the nodes of the DAFSA <= 32-bits. This is a property
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# that really matters, since any increase over 32-bits would immediately double the size of the data
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# due to padding bits when storing the nodes in a contiguous array.
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#
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# There are also a few modifications made to the DAFSA to increase performance:
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# - The 'first layer' of nodes is extracted out and replaced with a lookup table. This turns
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# the search for the first character from O(n) to O(1), and doesn't increase the data size because
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# all first characters in the set of named character references have the values 'a'-'z'/'A'-'Z',
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# so a lookup array of exactly 52 elements can be used. The lookup table stores the cumulative
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# "number" fields that would be calculated by a linear scan that matches a given node, thus allowing
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# the unique index to be built-up as normal with a O(1) search instead of a linear scan.
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# - The 'second layer' of nodes is also extracted out and searches of the second layer are done
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# using a bit field of 52 bits (the set bits of the bit field depend on the first character's value),
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# where each set bit corresponds to one of 'a'-'z'/'A'-'Z' (similar to the first layer, the second
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# layer can only contain ASCII alphabetic characters). The bit field is then re-used (along with
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# an offset) to get the index into the array of second layer nodes. This technique ultimately
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# allows for storing the minimum number of nodes in the second layer, and therefore only increasing the
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# size of the data by the size of the 'first to second layer link' info which is 52 * 8 = 416 bytes.
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# - After the second layer, the rest of the data is stored using a mostly-normal DAFSA, but there
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# are still a few differences:
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# - The "number" field is cumulative, in the same way that the first/second layer store a
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# cumulative "number" field. This cuts down slightly on the amount of work done during
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# the search of a list of children, and we can get away with it because the cumulative
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# "number" fields of the remaining nodes in the DAFSA (after the first and second layer
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# nodes were extracted out) happens to require few enough bits that we can store the
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# cumulative version while staying under our 32-bit budget.
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# - Instead of storing a 'last sibling' flag to denote the end of a list of children, the
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# length of each node's list of children is stored. Again, this is mostly done just because
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# there are enough bits available to do so while keeping the DAFSA node within 32 bits.
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# - Note: Together, these modifications open up the possibility of using a binary search instead
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# of a linear search over the children, but due to the consistently small lengths of the lists
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# of children in the remaining DAFSA, a linear search actually seems to be the better option.
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#
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# [1]: https://html.spec.whatwg.org/multipage/named-characters.html#named-character-references
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# [2]: https://www.ryanliptak.com/blog/better-named-character-reference-tokenization/
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# [3]: https://en.wikipedia.org/wiki/Deterministic_acyclic_finite_state_automaton
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# [4]: Applications of finite automata representing large vocabularies (Cláudio L. Lucchesi,
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# Tomasz Kowaltowski, 1993) https://doi.org/10.1002/spe.4380230103
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import argparse
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import json
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import sys
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from pathlib import Path
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from typing import TextIO
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sys.path.append(str(Path(__file__).resolve().parent.parent))
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SECOND_CODEPOINT_NAMES = {
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0x0338: "CombiningLongSolidusOverlay",
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0x20D2: "CombiningLongVerticalLineOverlay",
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0x200A: "HairSpace",
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0x0333: "CombiningDoubleLowLine",
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0x20E5: "CombiningReverseSolidusOverlay",
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0xFE00: "VariationSelector1",
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0x006A: "LatinSmallLetterJ",
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0x0331: "CombiningMacronBelow",
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}
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def get_second_codepoint_enum_name(codepoint: int) -> str:
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return SECOND_CODEPOINT_NAMES.get(codepoint, "None")
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def is_ascii_alpha(c: int) -> bool:
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return (0x41 <= c <= 0x5A) or (0x61 <= c <= 0x7A)
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def ascii_alphabetic_to_index(c: int) -> int:
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assert is_ascii_alpha(c)
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return (c - 0x41) if c <= 0x5A else (c - 0x61 + 26)
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class Node:
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__slots__ = ("children", "is_terminal", "number")
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def __init__(self) -> None:
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self.children: list = [None] * 128
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self.is_terminal: bool = False
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self.number: int = 0
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def num_direct_children(self) -> int:
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return sum(1 for c in self.children if c is not None)
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def get_ascii_alphabetic_bit_mask(self) -> int:
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mask = 0
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for i, c in enumerate(self.children):
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if c is None:
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continue
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mask |= 1 << ascii_alphabetic_to_index(i)
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return mask
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def calc_numbers(node: Node) -> None:
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node.number = 1 if node.is_terminal else 0
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for c in node.children:
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if c is None:
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continue
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calc_numbers(c)
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node.number += c.number
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def node_key(n: Node) -> tuple:
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# Equality matches the C++ NodeTraits: identity of each child slot + terminal flag.
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return (tuple(id(c) if c is not None else 0 for c in n.children), n.is_terminal)
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class DafsaBuilder:
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def __init__(self) -> None:
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self.root = Node()
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self.minimized_nodes: dict = {} # node_key -> Node
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self.unchecked_nodes: list = [] # list of (parent, character_index, child)
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self.previous_word: str = ""
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def insert(self, s: str) -> None:
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assert s > self.previous_word, f"insertion order: {s!r} not > {self.previous_word!r}"
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common_prefix_len = 0
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for i in range(min(len(s), len(self.previous_word))):
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if s[i] != self.previous_word[i]:
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break
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common_prefix_len += 1
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self.minimize(common_prefix_len)
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if not self.unchecked_nodes:
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node = self.root
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else:
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node = self.unchecked_nodes[-1][2]
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for ch in s[common_prefix_len:]:
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c = ord(ch)
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assert node.children[c] is None
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child = Node()
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node.children[c] = child
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self.unchecked_nodes.append((node, c, child))
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node = child
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node.is_terminal = True
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self.previous_word = s
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def minimize(self, down_to: int) -> None:
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if not self.unchecked_nodes:
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return
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while len(self.unchecked_nodes) > down_to:
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parent, char_index, child = self.unchecked_nodes.pop()
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key = node_key(child)
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existing = self.minimized_nodes.get(key)
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if existing is not None:
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parent.children[char_index] = existing
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else:
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self.minimized_nodes[key] = child
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def calc_numbers(self) -> None:
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calc_numbers(self.root)
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def get_unique_index(self, s: str) -> int:
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index = 0
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node = self.root
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for ch in s:
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c = ord(ch)
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if node.children[c] is None:
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return -1
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for sibling_c in range(128):
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if node.children[sibling_c] is None:
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continue
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if sibling_c < c:
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index += node.children[sibling_c].number
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node = node.children[c]
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if node.is_terminal:
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index += 1
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return index
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def queue_children(node: Node, queue: list, child_indexes: dict, first_available_index: int) -> int:
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current_available_index = first_available_index
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for c in range(128):
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child = node.children[c]
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if child is None:
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continue
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if id(child) not in child_indexes:
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child_num_children = child.num_direct_children()
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if child_num_children > 0:
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child_indexes[id(child)] = current_available_index
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current_available_index += child_num_children
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queue.append(child)
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return current_available_index
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def write_children_data(
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node: Node, node_data: list, queue: list, child_indexes: dict, first_available_index: int
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) -> int:
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current_available_index = first_available_index
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unique_index_tally = 0
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for c in range(128):
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child = node.children[c]
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if child is None:
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continue
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child_num_children = child.num_direct_children()
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if id(child) not in child_indexes:
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if child_num_children > 0:
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child_indexes[id(child)] = current_available_index
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current_available_index += child_num_children
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queue.append(child)
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node_data.append(
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(
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c,
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unique_index_tally,
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child.is_terminal,
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child_indexes.get(id(child), 0),
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child_num_children,
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)
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)
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unique_index_tally += child.number
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return current_available_index
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def write_node_data(dafsa_builder: DafsaBuilder, node_data: list, child_indexes: dict) -> None:
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queue: list = []
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first_available_index = 1
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first_available_index = queue_children(dafsa_builder.root, queue, child_indexes, first_available_index)
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child_indexes.clear()
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first_available_index = 1
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second_layer_length = len(queue)
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head = 0
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for _ in range(second_layer_length):
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node = queue[head]
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head += 1
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first_available_index = queue_children(node, queue, child_indexes, first_available_index)
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while head < len(queue):
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node = queue[head]
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head += 1
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first_available_index = write_children_data(node, node_data, queue, child_indexes, first_available_index)
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def write_header_file(out: TextIO) -> None:
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out.write("""
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#pragma once
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#include <AK/Optional.h>
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#include <AK/Types.h>
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namespace Web::HTML {
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// Uses u32 to match the `first` field of NamedCharacterReferenceCodepoints for bit-field packing purposes.
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enum class NamedCharacterReferenceSecondCodepoint : u32 {
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None,
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CombiningLongSolidusOverlay, // U+0338
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CombiningLongVerticalLineOverlay, // U+20D2
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HairSpace, // U+200A
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CombiningDoubleLowLine, // U+0333
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CombiningReverseSolidusOverlay, // U+20E5
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VariationSelector1, // U+FE00
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LatinSmallLetterJ, // U+006A
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CombiningMacronBelow, // U+0331
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};
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inline Optional<u16> named_character_reference_second_codepoint_value(NamedCharacterReferenceSecondCodepoint codepoint)
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{
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switch (codepoint) {
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case NamedCharacterReferenceSecondCodepoint::None:
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return {};
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case NamedCharacterReferenceSecondCodepoint::CombiningLongSolidusOverlay:
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return 0x0338;
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case NamedCharacterReferenceSecondCodepoint::CombiningLongVerticalLineOverlay:
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return 0x20D2;
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case NamedCharacterReferenceSecondCodepoint::HairSpace:
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return 0x200A;
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case NamedCharacterReferenceSecondCodepoint::CombiningDoubleLowLine:
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return 0x0333;
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case NamedCharacterReferenceSecondCodepoint::CombiningReverseSolidusOverlay:
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return 0x20E5;
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case NamedCharacterReferenceSecondCodepoint::VariationSelector1:
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return 0xFE00;
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case NamedCharacterReferenceSecondCodepoint::LatinSmallLetterJ:
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return 0x006A;
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case NamedCharacterReferenceSecondCodepoint::CombiningMacronBelow:
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return 0x0331;
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default:
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VERIFY_NOT_REACHED();
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}
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}
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// Note: The first codepoint could fit in 17 bits, and the second could fit in 4 (if unsigned).
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// However, to get any benefit from minimizing the struct size, it would need to be accompanied by
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// bit-packing the g_named_character_reference_codepoints_lookup array.
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struct NamedCharacterReferenceCodepoints {
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u32 first : 24; // Largest value is U+1D56B
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NamedCharacterReferenceSecondCodepoint second : 8;
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};
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static_assert(sizeof(NamedCharacterReferenceCodepoints) == 4);
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struct NamedCharacterReferenceFirstLayerNode {
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// Really only needs 12 bits.
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u16 number;
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};
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static_assert(sizeof(NamedCharacterReferenceFirstLayerNode) == 2);
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struct NamedCharacterReferenceFirstToSecondLayerLink {
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u64 mask : 52;
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u64 second_layer_offset : 12;
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};
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static_assert(sizeof(NamedCharacterReferenceFirstToSecondLayerLink) == 8);
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// Note: It is possible to fit this information within 24 bits, which could then allow for tightly
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// bit-packing the second layer array. This would reduce the size of the array by 630 bytes.
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|
struct NamedCharacterReferenceSecondLayerNode {
|
||
|
|
// Could be 10 bits
|
||
|
|
u16 child_index;
|
||
|
|
u8 number;
|
||
|
|
// Could be 4 bits
|
||
|
|
u8 children_len : 7;
|
||
|
|
bool end_of_word : 1;
|
||
|
|
};
|
||
|
|
static_assert(sizeof(NamedCharacterReferenceSecondLayerNode) == 4);
|
||
|
|
|
||
|
|
struct NamedCharacterReferenceNode {
|
||
|
|
// The actual alphabet of characters used in the list of named character references only
|
||
|
|
// includes 61 unique characters ('1'...'8', ';', 'a'...'z', 'A'...'Z').
|
||
|
|
u8 character;
|
||
|
|
// Typically, nodes are numbered with "an integer which gives the number of words that
|
||
|
|
// would be accepted by the automaton starting from that state." This numbering
|
||
|
|
// allows calculating "a one-to-one correspondence between the integers 1 to L
|
||
|
|
// (L is the number of words accepted by the automaton) and the words themselves."
|
||
|
|
//
|
||
|
|
// This allows us to have a minimal perfect hashing scheme such that it's possible to store
|
||
|
|
// and lookup the codepoint transformations of each named character reference using a separate
|
||
|
|
// array.
|
||
|
|
//
|
||
|
|
// This uses that idea, but instead of storing a per-node number that gets built up while
|
||
|
|
// searching a list of children, the cumulative number that would result from adding together
|
||
|
|
// the numbers of all the previous sibling nodes is stored instead. This cuts down on a bit
|
||
|
|
// of work done while searching while keeping the minimal perfect hashing strategy intact.
|
||
|
|
//
|
||
|
|
// Empirically, the largest number in our DAFSA is 51, so all number values could fit in a u6.
|
||
|
|
u8 number : 7;
|
||
|
|
bool end_of_word : 1;
|
||
|
|
// Index of the first child of this node.
|
||
|
|
// There are 3190 nodes in our DAFSA after the first and second layers were extracted out, so
|
||
|
|
// all indexes can fit in a u12 (there would be 3872 nodes with the first/second layers
|
||
|
|
// included, so still a u12).
|
||
|
|
u16 child_index : 12;
|
||
|
|
u16 children_len : 4;
|
||
|
|
};
|
||
|
|
static_assert(sizeof(NamedCharacterReferenceNode) == 4);
|
||
|
|
|
||
|
|
extern NamedCharacterReferenceNode g_named_character_reference_nodes[];
|
||
|
|
extern NamedCharacterReferenceFirstLayerNode g_named_character_reference_first_layer[];
|
||
|
|
extern NamedCharacterReferenceFirstToSecondLayerLink g_named_character_reference_first_to_second_layer[];
|
||
|
|
extern NamedCharacterReferenceSecondLayerNode g_named_character_reference_second_layer[];
|
||
|
|
|
||
|
|
Optional<NamedCharacterReferenceCodepoints> named_character_reference_codepoints_from_unique_index(u16 unique_index);
|
||
|
|
|
||
|
|
} // namespace Web::HTML
|
||
|
|
|
||
|
|
""")
|
||
|
|
|
||
|
|
|
||
|
|
def bool_str(b: bool) -> str:
|
||
|
|
return "true" if b else "false"
|
||
|
|
|
||
|
|
|
||
|
|
def write_implementation_file(out: TextIO, named_character_reference_data: dict) -> None:
|
||
|
|
dafsa_builder = DafsaBuilder()
|
||
|
|
|
||
|
|
for key in named_character_reference_data.keys():
|
||
|
|
dafsa_builder.insert(key[1:])
|
||
|
|
dafsa_builder.minimize(0)
|
||
|
|
dafsa_builder.calc_numbers()
|
||
|
|
|
||
|
|
# Sanity check: the minimal perfect hashing must produce no collisions.
|
||
|
|
index_set = set()
|
||
|
|
for key in named_character_reference_data.keys():
|
||
|
|
index = dafsa_builder.get_unique_index(key[1:])
|
||
|
|
assert index not in index_set
|
||
|
|
index_set.add(index)
|
||
|
|
assert len(named_character_reference_data) == len(index_set)
|
||
|
|
|
||
|
|
index_to_codepoints: list = [None] * len(named_character_reference_data)
|
||
|
|
for key, value in named_character_reference_data.items():
|
||
|
|
codepoints = value["codepoints"]
|
||
|
|
unique_index = dafsa_builder.get_unique_index(key[1:])
|
||
|
|
array_index = unique_index - 1
|
||
|
|
second_codepoint = codepoints[1] if len(codepoints) == 2 else 0
|
||
|
|
index_to_codepoints[array_index] = (codepoints[0], second_codepoint)
|
||
|
|
|
||
|
|
out.write("""
|
||
|
|
#include <LibWeb/HTML/Parser/Entities.h>
|
||
|
|
|
||
|
|
namespace Web::HTML {
|
||
|
|
|
||
|
|
static NamedCharacterReferenceCodepoints g_named_character_reference_codepoints_lookup[] = {
|
||
|
|
""")
|
||
|
|
|
||
|
|
for first, second in index_to_codepoints:
|
||
|
|
out.write(
|
||
|
|
f" {{0x{first:X}, NamedCharacterReferenceSecondCodepoint::{get_second_codepoint_enum_name(second)}}},\n"
|
||
|
|
)
|
||
|
|
|
||
|
|
node_data: list = []
|
||
|
|
child_indexes: dict = {}
|
||
|
|
write_node_data(dafsa_builder, node_data, child_indexes)
|
||
|
|
|
||
|
|
out.write("""};
|
||
|
|
|
||
|
|
NamedCharacterReferenceNode g_named_character_reference_nodes[] = {
|
||
|
|
{ 0, 0, false, 0, 0 },
|
||
|
|
""")
|
||
|
|
|
||
|
|
for character, number, end_of_word, child_index, children_len in node_data:
|
||
|
|
out.write(f" {{ '{chr(character)}', {number}, {bool_str(end_of_word)}, {child_index}, {children_len} }},\n")
|
||
|
|
|
||
|
|
out.write("""};
|
||
|
|
|
||
|
|
NamedCharacterReferenceFirstLayerNode g_named_character_reference_first_layer[] = {
|
||
|
|
""")
|
||
|
|
|
||
|
|
num_children = dafsa_builder.root.num_direct_children()
|
||
|
|
assert num_children == 52 # A-Z, a-z exactly
|
||
|
|
unique_index_tally = 0
|
||
|
|
for c in range(128):
|
||
|
|
child = dafsa_builder.root.children[c]
|
||
|
|
if child is None:
|
||
|
|
continue
|
||
|
|
assert is_ascii_alpha(c)
|
||
|
|
out.write(f" {{ {unique_index_tally} }},\n")
|
||
|
|
unique_index_tally += child.number
|
||
|
|
|
||
|
|
out.write("""};
|
||
|
|
|
||
|
|
NamedCharacterReferenceFirstToSecondLayerLink g_named_character_reference_first_to_second_layer[] = {
|
||
|
|
""")
|
||
|
|
|
||
|
|
second_layer_offset = 0
|
||
|
|
for c in range(128):
|
||
|
|
child = dafsa_builder.root.children[c]
|
||
|
|
if child is None:
|
||
|
|
continue
|
||
|
|
assert is_ascii_alpha(c)
|
||
|
|
bit_mask = child.get_ascii_alphabetic_bit_mask()
|
||
|
|
out.write(f" {{ {bit_mask}ull, {second_layer_offset} }},\n")
|
||
|
|
second_layer_offset += child.num_direct_children()
|
||
|
|
|
||
|
|
out.write("""};
|
||
|
|
|
||
|
|
NamedCharacterReferenceSecondLayerNode g_named_character_reference_second_layer[] = {
|
||
|
|
""")
|
||
|
|
|
||
|
|
for c in range(128):
|
||
|
|
first_layer_node = dafsa_builder.root.children[c]
|
||
|
|
if first_layer_node is None:
|
||
|
|
continue
|
||
|
|
assert is_ascii_alpha(c)
|
||
|
|
|
||
|
|
local_unique_index_tally = 0
|
||
|
|
for child_c in range(128):
|
||
|
|
second_layer_node = first_layer_node.children[child_c]
|
||
|
|
if second_layer_node is None:
|
||
|
|
continue
|
||
|
|
assert is_ascii_alpha(child_c)
|
||
|
|
child_num_children = second_layer_node.num_direct_children()
|
||
|
|
child_index = child_indexes.get(id(second_layer_node), 0)
|
||
|
|
out.write(
|
||
|
|
f" {{ {child_index}, {local_unique_index_tally}, {child_num_children}, "
|
||
|
|
f"{bool_str(second_layer_node.is_terminal)} }},\n"
|
||
|
|
)
|
||
|
|
local_unique_index_tally += second_layer_node.number
|
||
|
|
|
||
|
|
out.write("""};
|
||
|
|
|
||
|
|
// Note: The unique index is 1-based.
|
||
|
|
Optional<NamedCharacterReferenceCodepoints> named_character_reference_codepoints_from_unique_index(u16 unique_index) {
|
||
|
|
if (unique_index == 0) return {};
|
||
|
|
return g_named_character_reference_codepoints_lookup[unique_index - 1];
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace Web::HTML
|
||
|
|
""")
|
||
|
|
|
||
|
|
|
||
|
|
def main():
|
||
|
|
parser = argparse.ArgumentParser(description="Generate Named Character References", add_help=False)
|
||
|
|
parser.add_argument("--help", action="help", help="Show this help message and exit")
|
||
|
|
parser.add_argument("-h", "--header", required=True, help="Path to the Entities header file to generate")
|
||
|
|
parser.add_argument(
|
||
|
|
"-c", "--implementation", required=True, help="Path to the Entities implementation file to generate"
|
||
|
|
)
|
||
|
|
parser.add_argument("-j", "--json", required=True, help="Path to the JSON file to read from")
|
||
|
|
args = parser.parse_args()
|
||
|
|
|
||
|
|
with open(args.json, "r", encoding="utf-8") as input_file:
|
||
|
|
named_character_reference_data = json.load(input_file)
|
||
|
|
|
||
|
|
with open(args.header, "w", encoding="utf-8") as output_file:
|
||
|
|
write_header_file(output_file)
|
||
|
|
|
||
|
|
with open(args.implementation, "w", encoding="utf-8") as output_file:
|
||
|
|
write_implementation_file(output_file, named_character_reference_data)
|
||
|
|
|
||
|
|
|
||
|
|
if __name__ == "__main__":
|
||
|
|
main()
|