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_test_bdd_relation_ops.rs
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_test_bdd_relation_ops.rs
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use crate::_test_util::{mk_5_variable_set, mk_small_test_bdd};
use crate::{Bdd, BddVariable};
use rand::rngs::StdRng;
use rand::SeedableRng;
fn vars() -> (
BddVariable,
BddVariable,
BddVariable,
BddVariable,
BddVariable,
) {
return (
BddVariable(0),
BddVariable(1),
BddVariable(2),
BddVariable(3),
BddVariable(4),
);
}
#[test]
fn bdd_restrict() {
let variables = mk_5_variable_set();
let var_a = variables.var_by_name("v1").unwrap();
let var_b = variables.var_by_name("v2").unwrap();
let a = variables.mk_var(var_a);
let b = variables.mk_var(var_b);
let a_xor_b = variables.eval_expression_string("v1 ^ v2");
let a_or_b = variables.eval_expression_string("v1 | v2");
let a_and_b = variables.eval_expression_string("v1 & v2");
assert_eq!(a.not(), a_xor_b.var_restrict(var_b, true));
assert_eq!(b, a_xor_b.var_restrict(var_a, false));
assert_eq!(a, a_or_b.var_restrict(var_b, false));
assert!(a_or_b.var_restrict(var_b, true).is_true());
assert_eq!(a, a_and_b.var_restrict(var_b, true));
assert!(a_and_b.var_restrict(var_b, false).is_false());
assert!(a_xor_b.restrict(&[(var_a, true), (var_b, false)]).is_true());
assert!(a_and_b.restrict(&[(var_a, true), (var_b, false)]).is_false());
assert!(a_or_b.restrict(&[(var_a, true), (var_b, false)]).is_true());
}
#[test]
fn bdd_var_projection() {
let variables = mk_5_variable_set();
let bdd = variables.eval_expression_string("(v1 => (v2 <=> v3)) & (!v1 => !(v2 <=> v5))");
let v1 = BddVariable(0);
assert_eq!(
bdd.var_project(v1),
variables.eval_expression_string("(v2 <=> v3) | !(v2 <=> v5)")
);
}
#[test]
fn bdd_var_pick() {
let variables = mk_5_variable_set();
let bdd = variables.eval_expression_string("(v1 => (v2 <=> v3)) & (!v1 => !(v2 <=> v5))");
let v1 = BddVariable(0);
assert_eq!(
bdd.var_pick(v1),
variables
.eval_expression_string("(v1 => ((v2 <=> v3) & (v3 <=> v5))) & (!v1 => !(v2 <=> v5))")
);
}
#[test]
fn bdd_var_pick_random() {
let variables = mk_5_variable_set();
let bdd = variables.eval_expression_string("(v1 => (v2 <=> v3)) & (!v1 => !(v2 <=> v5))");
let v1 = BddVariable(0);
let mut random = StdRng::seed_from_u64(1234567890);
for _ in 0..10 {
let picked = bdd.var_pick_random(v1, &mut random);
assert_eq!(picked.and(&bdd), picked);
let v1_true_paths = picked.var_select(v1, true).var_project(v1);
let v1_false_paths = picked.var_select(v1, false).var_project(v1);
assert!(v1_true_paths.and(&v1_false_paths).is_false());
}
}
#[test]
fn bdd_var_select() {
let variables = mk_5_variable_set();
let bdd = variables.eval_expression_string("(v1 => (v2 <=> v3)) & (!v1 => !(v2 <=> v5))");
let v1 = BddVariable(0);
assert_eq!(
variables.eval_expression_string("v1 & (v2 <=> v3)"),
bdd.var_select(v1, true)
);
assert_eq!(
variables.eval_expression_string("!v1 & !(v2 <=> v5)"),
bdd.var_select(v1, false)
);
}
#[test]
fn bdd_projection_trivial() {
let variables = mk_5_variable_set();
let bdd = mk_small_test_bdd(); // v_3 && !v_4
let tt = variables.mk_true();
let ff = variables.mk_false();
let vars = (0..5).map(BddVariable).collect::<Vec<_>>();
for k in 0..5 {
assert_eq!(ff, ff.project(&vars[0..k]));
assert_eq!(tt, tt.project(&vars[0..k]));
}
assert_eq!(bdd, bdd.project(&Vec::new()));
assert_eq!(tt, bdd.project(&vars));
}
#[test]
fn bdd_projection_simple() {
let variables = mk_5_variable_set();
let (_, v2, v3, v4, v5) = vars();
{
let bdd = variables.eval_expression_string("(v1 <=> v2) & (v4 <=> v5)");
let projected = variables.eval_expression_string("(v1 <=> v2)");
assert_eq!(projected, bdd.project(&vec![v4, v5]));
assert_eq!(bdd.project(&vec![v3, v4, v5]), bdd.project(&vec![v4, v5]));
}
{
let bdd = variables.eval_expression_string("(v4 => (v1 & v2)) & (!v4 => (!v1 & v3))");
let projected_3 = variables.eval_expression_string("(v1 & v2) | (!v1 & v3)");
let projected_2 = variables.eval_expression_string("(v1 & v2) | !v1");
assert_eq!(bdd, bdd.project(&vec![v5]));
assert_eq!(projected_3, bdd.project(&vec![v4]));
assert_eq!(projected_2, bdd.project(&vec![v3, v4]));
assert_eq!(variables.mk_true(), bdd.project(&vec![v2, v3, v4]));
}
}
#[test]
fn bdd_pick_trivial() {
let variables = mk_5_variable_set();
let bdd = mk_small_test_bdd(); // v_3 && !v_4
let tt = variables.mk_true();
let ff = variables.mk_false();
let (v1, v2, v3, v4, v5) = vars();
assert_eq!(ff, ff.pick(&vec![v2, v3, v4]));
assert_eq!(ff, ff.pick(&vec![]));
assert_eq!(tt, tt.pick(&vec![]));
let expected = variables.eval_expression_string("!v1 & !v2 & !v3 & !v4 & !v5");
assert_eq!(expected, tt.pick(&vec![v1, v2, v3, v4, v5]));
let expected = variables.eval_expression_string("!v4 & !v5");
assert_eq!(expected, tt.pick(&vec![v4, v5]));
assert_eq!(bdd, bdd.pick(&vec![]));
let expected = variables.eval_expression_string("!v1 & !v2 & v3 & !v4 & !v5");
assert_eq!(expected, bdd.pick(&vec![v1, v2, v3, v4, v5]));
let expected = variables.eval_expression_string("v3 & !v4 & !v5");
assert_eq!(expected, bdd.pick(&vec![v4, v5]));
}
#[test]
fn bdd_pick_simple() {
let variables = mk_5_variable_set();
let bdd = variables.eval_expression_string("(v1 => (v4 <=> v5)) & (!v1 => !(v4 <=> v5))");
let expected = variables.eval_expression_string("(v1 => (!v4 & !v5)) & (!v1 => (!v4 & v5))");
let (v1, v2, v3, v4, v5) = vars();
assert_eq!(expected, bdd.pick(&vec![v4, v5]));
assert_eq!(bdd, bdd.pick(&vec![v5]));
let bdd = variables.eval_expression_string("(v1 <=> v5) & (v2 => v4) & (v3 ^ v2)");
let witness_bdd: Bdd = variables.eval_expression_string("!v1 & !v2 & v3 & !v4 & !v5");
assert_eq!(witness_bdd, bdd.pick(&vec![v1, v2, v3, v4, v5]));
let expected = variables
.eval_expression_string("(v1 => (!v2 & v3 & !v4 & v5)) & (!v1 => (!v2 & v3 & !v4 & !v5))");
assert_eq!(expected, bdd.pick(&vec![v2, v3, v4, v5]));
let expected = variables.eval_expression_string("((v1 & v2) => (!v3 & v4 & v5)) & ((v1 & !v2) => (v3 & !v4 & v5)) & ((!v1 & v2) => (!v3 & v4 & !v5)) & ((!v1 & !v2) => (v3 & !v4 & !v5))");
assert_eq!(expected, bdd.pick(&vec![v3, v4, v5]));
assert_eq!(expected, bdd.pick(&vec![v4, v5])); // accidentally, this works out
assert_eq!(bdd, bdd.pick(&vec![v5]));
assert_eq!(bdd, bdd.pick(&vec![]));
}
#[test]
fn bdd_pick_random() {
let variables = mk_5_variable_set();
let bdd = variables.eval_expression_string("(v1 => (v4 <=> v5)) & (!v1 => !(v4 <=> v5))");
let (_, v2, v3, _, _) = vars();
let mut random = StdRng::seed_from_u64(1234567890);
for _ in 0..100 {
let picked = bdd.pick_random(&[v2, v3], &mut random);
assert_eq!(picked.and(&bdd), picked);
let picked_00 = picked
.select(&[(v2, false), (v3, false)])
.project(&[v2, v3]);
let picked_01 = picked.select(&[(v2, false), (v3, true)]).project(&[v2, v3]);
let picked_10 = picked.select(&[(v2, true), (v3, false)]).project(&[v2, v3]);
let picked_11 = picked.select(&[(v2, true), (v3, true)]).project(&[v2, v3]);
assert!(picked_00.and(&picked_01).is_false());
assert!(picked_00.and(&picked_10).is_false());
assert!(picked_00.and(&picked_11).is_false());
assert!(picked_01.and(&picked_10).is_false());
assert!(picked_01.and(&picked_11).is_false());
assert!(picked_10.and(&picked_11).is_false());
}
}
#[test]
fn bdd_select() {
let variables = mk_5_variable_set();
let bdd = variables.eval_expression_string("(v1 => (v4 <=> v5)) & (!v1 => !(v4 <=> v5))");
let expected = variables.eval_expression_string("v1 & !v3 & !v4 & !v5");
let (v1, _, v3, v4, _) = vars();
assert_eq!(
expected,
bdd.select(&vec![(v1, true), (v4, false), (v3, false)])
);
}