Add direct transformation to normal form

This commit is contained in:
hal8174 2024-10-15 21:22:34 +02:00
parent 6b9785dc1f
commit bfc54bc5a6
5 changed files with 174 additions and 24 deletions

View file

@ -1 +1,2 @@
dfjsk&(dfjsk| !fjdsk| ((djask& ffadsfj)|fjskd))
a&(b| !c| ((!b& d)|e))
a&!b

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@ -1,4 +1,4 @@
use crate::dpll::Index;
use crate::{dpll::Index, mapping::Mapping, normal_form::NormalForm};
use miette::{miette, Context, Result};
use std::collections::HashMap;
@ -243,6 +243,79 @@ impl<'s> Expr<'s> {
}
}
pub fn disjunctiveNormalForm2(self, mapping: &mut Mapping<'s>) -> NormalForm {
match self {
Expr::Literal(l) => {
let mut n = NormalForm::new();
n.add_clause(&[mapping.forward(l)]);
n
}
Expr::Not(e) => match *e {
Expr::Literal(l) => {
let mut n = NormalForm::new();
n.add_clause(&[-mapping.forward(l)]);
n
}
Expr::Not(n) => n.disjunctiveNormalForm2(mapping),
Expr::And(v) => {
let mut n = NormalForm::new();
for e in v
.into_iter()
.map(|e| Expr::Not(Box::new(e)).disjunctiveNormalForm2(mapping))
{
for (s, _, _) in e.iter() {
n.add_clause(s);
}
}
n
}
Expr::Or(v) => Expr::And(v.into_iter().map(|e| Expr::Not(Box::new(e))).collect())
.disjunctiveNormalForm2(mapping),
},
Expr::And(v) => {
let mut v: Vec<_> = v
.into_iter()
.map(|e| e.disjunctiveNormalForm2(mapping))
.collect();
let mut n = v.pop().unwrap();
let mut scratch = Vec::new();
for on in v {
let mut new_n = NormalForm::new();
for (old_s, _, _) in n.iter() {
for (new_s, _, _) in on.iter() {
scratch.clear();
scratch.extend_from_slice(old_s);
scratch.extend_from_slice(new_s);
scratch.sort();
scratch.dedup();
new_n.add_clause(&scratch);
}
}
n = new_n;
}
n
}
Expr::Or(v) => {
let mut n = NormalForm::new();
for e in v {
let on = e.disjunctiveNormalForm2(mapping);
for (s, _, _) in on.iter() {
n.add_clause(s);
}
}
n
}
}
}
pub fn conjunctiveNormalForm(self) -> Self {
if let Expr::Or(v) = Expr::Not(Box::new(self)).disjunctiveNormalForm() {
Expr::And(
@ -275,6 +348,16 @@ impl<'s> Expr<'s> {
}
}
pub fn to_dpll_cnf_normal_form(self) -> (NormalForm, Mapping<'s>) {
let mut mapping = Mapping::new();
let mut cnf = Expr::Not(Box::new(self)).disjunctiveNormalForm2(&mut mapping);
cnf.negate();
(cnf, mapping)
}
pub fn to_dpll_cnf(self) -> (Vec<Vec<Index>>, HashMap<&'s str, Index>) {
let mut map = HashMap::new();

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@ -3,12 +3,13 @@ use std::collections::HashMap;
use clap::Parser;
use dpll::dpll;
use expr::{Expr, Tokanizer};
use mapping::Mapping;
use miette::{IntoDiagnostic, Result};
use normal_form::NormalForm;
mod dpll_normal_form;
mod normal_form;
mod dpll;
mod dpll_normal_form;
mod mapping;
mod normal_form;
mod expr;
@ -28,39 +29,51 @@ fn main() -> Result<()> {
// dbg!(&e);
// dbg!(Expr::Not(Box::new(e.clone())).disjunctiveNormalForm());
// dbg!(e.clone().conjunctiveNormalForm());
let (cnf, map) = e.to_dpll_cnf();
let (cnf, map) = e.to_dpll_cnf_normal_form();
// dbg!(&cnf, &map);
println!("cnf clauses: {}", cnf.len());
println!("Normal form created.");
cnf.stats();
let mut solution = Vec::new();
dbg!(crate::dpll_normal_form::dpll(&cnf, &mut solution));
dpll(&cnf, &mut solution);
// dbg!(&solution);
// dbg!(e.clone().conjunctiveNormalForm());
let inv_map: HashMap<_, _> = map.into_iter().map(|(k, v)| (v, k)).collect();
// let (cnf, map) = e.to_dpll_cnf();
dbg!(&solution);
// for i in solution {
// if i > 0 {
// println!("{}: true", inv_map[&i]);
// } else {
// println!("{}: false", inv_map[&i.abs()]);
// }
// }
// dbg!(&cnf, &map);
// println!("cnf clauses: {}", cnf.len());
let mut nf = NormalForm::from_slices(&cnf);
// let mut solution = Vec::new();
// dpll(&cnf, &mut solution);
// dbg!(solution);
// let inv_map: HashMap<_, _> = map.into_iter().map(|(k, v)| (v, k)).collect();
// dbg!(&solution);
for i in solution {
if i > 0 {
println!("{}: true", map.backward(i));
} else {
println!("{}: false", map.backward(i.abs()));
}
}
// let mut nf = NormalForm::from_slices(&cnf);
// dbg!(&nf);
// nf.remove_literal(-1);
// dbg!(&nf);
let mut s2 = Vec::new();
// let mut s2 = Vec::new();
dbg!(dpll_normal_form::dpll(&nf, &mut s2));
// dbg!(dpll_normal_form::dpll(&nf, &mut s2));
dbg!(s2 == solution);
// dbg!(s2 == solution);
Ok(())
}

32
src/mapping.rs Normal file
View file

@ -0,0 +1,32 @@
use std::collections::HashMap;
use crate::dpll::Index;
pub struct Mapping<'s> {
forward: HashMap<&'s str, Index>,
backward: Vec<&'s str>,
}
impl<'s> Mapping<'s> {
pub fn new() -> Self {
Self {
forward: HashMap::new(),
backward: Vec::new(),
}
}
pub fn forward(&mut self, str: &'s str) -> Index {
if let Some(&i) = self.forward.get(str) {
i
} else {
let i = self.backward.len() as Index + 1;
self.forward.insert(str, i);
self.backward.push(str);
i
}
}
pub fn backward(&self, i: Index) -> &'s str {
self.backward[(i - 1) as usize]
}
}

View file

@ -1,3 +1,5 @@
use std::ops::Neg;
use crate::dpll::Index;
#[derive(Debug, Clone)]
@ -66,7 +68,7 @@ impl NormalForm {
pub fn add_clause(&mut self, s: &[Index]) {
let len = s.len();
if self.data.len() < len {
if self.data.len() <= len {
self.data.resize(len + 1, Vec::new());
}
@ -110,6 +112,25 @@ impl NormalForm {
pub fn iter_len(&self, len: usize) -> NormalFormIteratorLen<'_> {
NormalFormIteratorLen::new(self, len)
}
pub fn negate(&mut self) {
for v in &mut self.data[1..] {
v.reverse();
for e in v {
*e = -*e;
}
}
}
pub fn stats(&self) {
println!("Normal form stats:");
let mut sum = 0;
for (i, v) in self.data.iter().enumerate() {
sum += v.len();
println!("{i:2}: {:15}", v.len() / usize::max(1, i));
}
println!("Total size: {}byte", sum * Index::BITS as usize / 8);
}
}
pub struct NormalFormIterator<'nf> {