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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 12:02:58 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 12:02:58 +0000
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Adding upstream version 1.64.0+dfsg1.upstream/1.64.0+dfsg1
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
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+[![Clippy Linting Result](https://clippy.bashy.io/github/oli-obk/quine-mc_cluskey/master/badge.svg)](https://clippy.bashy.io/github/oli-obk/quine-mc_cluskey/master/log)
+[![Current Version](http://meritbadge.herokuapp.com/quine-mc_cluskey)](https://crates.io/crates/quine-mc_cluskey)
+[![Build Status](https://travis-ci.org/oli-obk/quine-mc_cluskey.svg?branch=master)](https://travis-ci.org/oli-obk/quine-mc_cluskey)
+
+An algorithm to automatically minimize boolean expressions.
+
+# Example
+
+```rust
+extern crate quine_mc_cluskey;
+
+use quine_mc_cluskey::*;
+use quine_mc_cluskey::Bool::{And, Or, Not, True, False};
+
+fn main() {
+ // !false => true
+ assert_eq!(
+ Not(Box::new(False)).simplify(),
+ vec![True]
+ );
+
+ // a && (b || a) => a
+ assert_eq!(
+ And(vec![Bool::Term(0),
+ Or(vec![Bool::Term(1), Bool::Term(0)])]).simplify(), vec![Bool::Term(0)]
+ );
+}
+```
+
+# Obtaining a minimal "and of or" form
+
+Sometimes an expression of the form `a && (b || c)` is shorter than the `a && b || a && c` form.
+We can simply negate the original expression and negate all the resulting simplified expressions to obtain that form.
+
+```rust
+extern crate quine_mc_cluskey;
+use quine_mc_cluskey::Bool;
+
+fn main() {
+ let a: Bool = Bool::And(vec![Bool::True, Bool::True]);
+ let simplified: Vec<Bool> = Bool::Not(Box::new(a)).simplify()
+ .iter().map(simple_negate).collect();
+}
+
+fn simple_negate(b: &Bool) -> Bool {
+ use quine_mc_cluskey::Bool::*;
+ let b = b.clone();
+
+ match b {
+ True => False,
+ False => True,
+ t @ Term(_) => Not(Box::new(t)),
+ And(mut v) => {
+ for el in &mut v {
+ *el = simple_negate(el);
+ }
+ Or(v)
+ },
+ Or(mut v) => {
+ for el in &mut v {
+ *el = simple_negate(el);
+ }
+ And(v)
+ },
+ Not(inner) => *inner,
+ }
+}
+```