1 files changed, 39 insertions, 0 deletions
diff --git a/src/tests.ts b/src/tests.ts
new file mode 100644
index 0000000..8c379e8
--- /dev/null
+++ b/src/tests.ts
@@ -0,0 +1,39 @@
+import { Add, ApplyRewrite, Commutativity, Flip, Identity } from './index';
+
+type Eq<a, b> = ([a] extends [b] ? ([b] extends [a] ? true : false) : false) & { a: a; b: b };
+type assert<T extends true> = T;
+
+export type _testCases = {
+  Identity: [
+    assert<Eq<
+      ApplyRewrite<Add<'A', Add<'B', '0'>>, Identity<'B'>>,
+      Add<'A', 'B'>
+    >>,
+    assert<Eq<
+      ApplyRewrite<Add<Add<'A', 'B'>, '0'>, Identity<Add<'A', 'B'>>>,
+      Add<'A', 'B'>
+    >>,
+    assert<Eq<
+      ApplyRewrite<Add<'A', 'B'>, Flip<Identity<Add<'A', 'B'>>>>,
+      Add<Add<'A', 'B'>, '0'>
+    >>,
+    assert<Eq<
+      ApplyRewrite<Add<'A', Add<'B', Add<'C', '0'>>>, Identity<'C'>>,
+      Add<'A', Add<'B', 'C'>>
+    >>,
+  ],
+  Commutativity: [
+    assert<Eq<
+      ApplyRewrite<Add<'A', 'B'>, Commutativity<'A', 'B'>>,
+      Add<'B', 'A'>
+    >>,
+    assert<Eq<
+      ApplyRewrite<Add<Add<'A', 'B'>, 'C'>, Commutativity<'A', 'B'>>,
+      Add<Add<'B', 'A'>, 'C'>
+    >>,
+    assert<Eq<
+      ApplyRewrite<Add<'A', Add<'B', 'C'>>, Commutativity<'B', 'C'>>,
+      Add<'A', Add<'C', 'B'>>
+    >>,
+  ],
+};