Loose equality comparisons for floats

[inverse-tax] / tax.test.js

diff --git a/tax.test.js b/tax.test.js
index 192eac0cbf9c4edf142fc4acc2b99c65fd2feb31..5080001436529b89c94c58dc4fbe90ef1f89e98a 100644 (file)
--- a/tax.test.js
+++ b/tax.test.js
@@ -6,8 +6,18 @@ function test(description, f) {
   f();
 }
 
-function near(a, b, epsilon = 1e-6) {
-  return Math.abs(a - b) < epsilon;
+function rand(limit = 99) {
+  return Math.round(Math.random() * limit);
+}
+
+function make_random_tax_table() {
+  function make_random_table(min_threshold) {
+    if (rand(4) == 0) return [];
+    const start = min_threshold === undefined ? rand() : min_threshold;
+    const end = start + 1 + rand();
+    return [[start, rand()]].concat(make_random_table(end));
+  }
+  return tax_table_from_table(make_random_table());
 }
 
 test("parse tax table", () => {
@@ -25,5 +35,36 @@ test("sum", () => {
 
 test("tax", () => {
   assert.strictEqual(tax([[10, 100, .01], [100, Infinity, .1]], 150), 5.9);
-  assert.ok(near(tax([[10, 100, .01], [100, Infinity, .1]], 150), 5.9));
+});
+
+test("merge tax tables", () => {
+  for (var i = 0; i < 1000; i++) {
+    const t1 = make_random_tax_table();
+    const t2 = make_random_tax_table();
+    const combined = merge_tax_tables(t1, t2);
+    for (var j = 0; j < 10; j++) {
+      const income = rand(250);
+      assert.ok(near(tax(t1, income) + tax(t2, income), tax(combined, income)));
+    }
+  }
+});
+
+test("invert", () => {
+  assert.strictEqual(invert([                  ])(10), 10);
+  assert.strictEqual(invert([[ 0, Infinity, .1]])( 9), 10);
+  assert.strictEqual(invert([[10, Infinity, .1]])(19), 20);
+  assert.strictEqual(invert([[10, Infinity, .1]])( 9),  9);
+  assert.strictEqual(invert([[0, 100, .1], [100, Infinity, .2]])(170), 200);
+  assert.strictEqual(invert([[0, 100, .1], [100, Infinity, .2]])(112), 127.5);
+  assert.strictEqual(invert([[6, 90, 0.75], [90, Infinity, 0.12]])(27), 90);
+
+  for (var i = 0; i < 1000; i++) {
+    const t = make_random_tax_table();
+    const inverted_t = invert(t);
+    for (var j = 0; j < 20; j++) {
+      const net = rand(250);
+      const gross = inverted_t(net);
+      assert.ok(near(net, gross - tax(t, gross)));
+    }
+  }
 });