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genieacs/lib/common/expression-cnf.ts
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/**
* Copyright 2013-2019 GenieACS Inc.
*
* This file is part of GenieACS.
*
* GenieACS is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, either version 3 of the
* License, or (at your option) any later version.
*
* GenieACS is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with GenieACS. If not, see <http://www.gnu.org/licenses/>.
*/
import { map, parseLikePattern } from "./expression-parser";
import { Expression } from "../types";
type CNF = number[][];
function or(cnf1: CNF, cnf2: CNF): CNF {
if (cnf1.length === 0) return cnf2;
else if (cnf2.length === 0) return cnf1;
if (cnf1.length > cnf2.length) {
const c = cnf1;
cnf1 = cnf2;
cnf2 = c;
}
const res = [];
for (let i = 0; i < cnf1.length; ++i)
for (let j = i; j < cnf2.length; ++j) res.push(cnf1[i].concat(cnf2[j]));
return res;
}
function likePatternIncludes(pat1, pat2, idx1 = 0, idx2 = 0): boolean {
while (idx1 < pat1.length && idx2 < pat2.length) {
if (pat1[idx1] === "\\%") {
for (let i = idx2; i <= pat2.length; ++i)
if (likePatternIncludes(pat1, pat2, idx1 + 1, i)) return true;
return false;
} else if (pat2[idx2] === "\\%") {
if (pat1[idx1] !== "\\%") return false;
} else if (pat1[idx1] === "\\_") {
// Ignore
} else if (pat2[idx2] === "\\_") {
return false;
} else if (pat2[idx2] !== pat1[idx1]) {
return false;
}
++idx1;
++idx2;
}
if (idx1 === pat1.length && idx2 === pat2.length) return true;
return false;
}
export function booleanCnf(exp: Expression): { vars: number; clauses: CNF } {
const ranges = new Map();
const likePatterns = new Map();
map(exp, e => {
if (!Array.isArray(e)) return e;
if (e[0] === "LIKE" || e[0] === "NOT LIKE") {
if (
typeof e[2] === "string" &&
(e.length >= 4 || (e[3] != null && !Array.isArray(e[3])))
) {
const key = JSON.stringify(e[1]);
let s = likePatterns.get(key);
if (!s) likePatterns.set(key, (s = new Map()));
s.set(`${e[3] || ""}:${e[2]}`, parseLikePattern(e[2], e[3]));
}
} else if ([">", ">=", "<", "<=", "=", "<>"].includes(e[0])) {
if (!Array.isArray(e[2])) {
const key = `${JSON.stringify(e[1])}:${typeof e[2]}`;
let s = ranges.get(key);
if (!s) ranges.set(key, (s = new Set()));
s.add(e[2]);
} else if (!Array.isArray(e[1])) {
const key = `${JSON.stringify(e[2])}:${typeof e[1]}`;
let s = ranges.get(key);
if (!s) ranges.set(key, (s = new Set()));
s.add(e[2]);
}
}
return e;
});
for (const [k, v] of ranges) {
if (k.endsWith(":number")) {
ranges.set(
k,
Array.from(v as number[]).sort((a: number, b: number) => a - b)
);
} else {
ranges.set(k, Array.from(v).sort());
}
}
const expressions: Map<string, number> = new Map();
const mutuallyExclusive: Map<string, Set<number>> = new Map();
function getVariable(lhs, op, rhs = ""): number {
const key = `${lhs}:${op}:${rhs}`;
let f = expressions.get(key);
if (!f) {
expressions.set(key, (f = expressions.size + 1));
let m = mutuallyExclusive.get(lhs);
if (!m) mutuallyExclusive.set(lhs, (m = new Set()));
m.add(f);
if (rhs || op !== "null") m.add(getVariable(lhs, "null"));
}
return f;
}
function getComparisonVariables(
lhs,
from,
fromInclusive,
to,
toInclusive
): number[] {
const type = from != null ? typeof from : typeof to;
const range = ranges.get(`${lhs}:${type}`);
const vars = [];
if (from == null) vars.push(`${lhs}:--${range[0]}`);
for (let i = 0; i < range.length; ++i) {
if (
i > 0 &&
(from == null || range[i] > from) &&
(to == null || range[i] <= to)
)
vars.push(`${lhs}:${range[i - 1]}--${range[i]}`);
if (
(range[i] > from && range[i] < to) ||
(range[i] === from && fromInclusive) ||
(range[i] === to && toInclusive)
)
vars.push(`${lhs}:${range[i]}`);
}
if (to == null) vars.push(`${lhs}:${range[range.length - 1]}--`);
return vars.map(key => {
let f = expressions.get(key);
if (!f) {
expressions.set(key, (f = expressions.size + 1));
let m = mutuallyExclusive.get(lhs);
if (!m) mutuallyExclusive.set(lhs, (m = new Set()));
m.add(f);
}
return f;
});
}
function getLikeVariables(lhs, pat, esc): number[] {
const vars = [];
const pats = likePatterns.get(lhs);
pat = pats.get(`${esc || ""}:${pat}`);
for (const p of pats.values()) {
if (pat === p || likePatternIncludes(pat, p))
vars.push(`${lhs}:like:${JSON.stringify(p)}`);
}
return vars.map(key => {
let f = expressions.get(key);
if (!f) expressions.set(key, (f = expressions.size + 1));
return f;
});
}
interface ComparisonOperators {
[name: string]: (v: string) => [string, boolean, string, boolean];
}
const comparisonOperators: ComparisonOperators = {
"=": v => [v, true, v, true],
">": v => [v, false, null, null],
">=": v => [v, true, null, null],
"<": v => [null, null, v, false],
"<=": v => [null, null, v, true]
};
function recursive(clause, negate): CNF {
let op = clause[0];
if ((op === "AND" && !negate) || (op === "OR" && negate)) {
let res = [];
for (let i = 1; i < clause.length; ++i)
res = res.concat(recursive(clause[i], negate));
return res;
} else if ((op === "OR" && !negate) || (op === "AND" && negate)) {
let res = [];
for (let i = 1; i < clause.length; ++i)
res = or(res, recursive(clause[i], negate));
return res;
} else if (op === "NOT") {
return recursive(clause[1], !negate);
} else if (op === "<>") {
const vars = getComparisonVariables(
JSON.stringify(clause[1]),
...comparisonOperators["="](clause[2])
);
if (!negate) return vars.map(x => [0 - x]);
else return [vars];
} else if (op === "IS NULL") {
const v = getVariable(JSON.stringify(clause[1]), "null");
if (negate) return [[0 - v]];
else return [[v]];
} else if (op === "IS NOT NULL") {
const v = getVariable(JSON.stringify(clause[1]), "null");
if (!negate) return [[0 - v]];
else return [[v]];
} else if (op in comparisonOperators) {
if (!Array.isArray(clause[2])) {
const vars = getComparisonVariables(
JSON.stringify(clause[1]),
...comparisonOperators[op](clause[2])
);
if (negate) return vars.map(x => [0 - x]);
else return [vars];
} else if (!Array.isArray(clause[1])) {
op = { ">": "<", ">=": "<=", "<": ">", "<=": ">=" }[op] || op;
const vars = getComparisonVariables(
JSON.stringify(clause[2]),
...comparisonOperators[op](clause[1])
);
if (negate) return vars.map(x => [0 - x]);
else return [vars];
} else {
let lhs = JSON.stringify(clause[1]);
let rhs = JSON.stringify(clause[2]);
// For consistency
if (rhs > lhs) {
const t = rhs;
rhs = lhs;
lhs = t;
op = { ">": "<", ">=": "<=", "<": ">", "<=": ">=" }[op] || op;
}
const v = getVariable(lhs, op, rhs);
if (negate) return [[0 - v]];
else return [[v]];
}
} else if (
(op === "LIKE" || op === "NOT LIKE") &&
!Array.isArray(clause[2]) &&
clause[2] != null &&
(clause.length >= 4 || clause[3] != null)
) {
if (op === "NOT LIKE") negate = !negate;
const vars = getLikeVariables(
JSON.stringify(clause[1]),
clause[2],
clause[3]
);
if (negate) return vars.map(x => [0 - x]);
else return [vars];
} else {
const v = getVariable(JSON.stringify(clause), "");
if (negate) return [[0 - v]];
else return [[v]];
}
}
const cnf = recursive(exp, false);
for (const m of mutuallyExclusive.values()) {
const ar: number[] = Array.from(m);
for (let i = 0; i < ar.length; ++i)
for (let j = i + 1; j < ar.length; ++j) cnf.push([0 - ar[i], 0 - ar[j]]);
}
return { vars: expressions.size, clauses: cnf };
}