Add direct transformation to normal form
This commit is contained in:
parent
6b9785dc1f
commit
bfc54bc5a6
5 changed files with 174 additions and 24 deletions
|
|
@ -1 +1,2 @@
|
|||
dfjsk&(dfjsk| !fjdsk| ((djask& ffadsfj)|fjskd))
|
||||
a&(b| !c| ((!b& d)|e))
|
||||
a&!b
|
||||
|
|
|
|||
85
src/expr.rs
85
src/expr.rs
|
|
@ -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();
|
||||
|
||||
|
|
|
|||
55
src/main.rs
55
src/main.rs
|
|
@ -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
32
src/mapping.rs
Normal 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]
|
||||
}
|
||||
}
|
||||
|
|
@ -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> {
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue