Refactor: Implement SmartCube renderer, improve UI styling, and fix gaps

node_modules/matrix-js/lib/rational.js

@@ -0,0 +1,57 @@
+'use strict';
+
+/**
+ * Constructs an object storing rational numbers and methods performing operations
+ * 
+ * @param num numerator of the rational number
+ * @param den denomenator of the rational number
+ * @returns Object storing the rational number and method doing arthmetic operations
+ */
+function rational(num, den) {
+  den = den || 1;
+  if (Math.sign(den) === -1) {
+    num = -num;
+    den = -den;
+  }
+  return {
+    num: num,
+    den: den,
+    add: (op) => rational(num * op.den + den * op.num, den * op.den),
+    sub: (op) => rational(num * op.den - den * op.num, den * op.den),
+    mul: (op) => multiply(op, num, den),
+    div: (op) => {
+      let _num = op.den;
+      let _den = op.num;
+      return multiply(rational(_num, _den), num, den);
+    }
+  }
+}
+
+module.exports = rational;
+
+/**
+ * Multiplies two rational number based on multiplication rules that cancels common terms
+ * 
+ * @param op the second operand
+ * @param num numerator of first operand
+ * @param den denominator of second operand
+ * @returns another rational number
+ */
+function multiply(op, num, den) {
+  let _num = Math.sign(num) * Math.sign(op.num);
+  let _den = Math.sign(den) * Math.sign(op.den);
+  if (Math.abs(num) === Math.abs(op.den) && Math.abs(den) === Math.abs(op.num)) {
+    _num = _num;
+    _den = _den;
+  } else if (Math.abs(den) === Math.abs(op.num)) {
+    _num = _num * Math.abs(num);
+    _den = _den * Math.abs(op.den);
+  } else if (Math.abs(num) === Math.abs(op.den)) {
+    _num = _num * Math.abs(op.num);
+    _den = _den * Math.abs(den);
+  } else {
+    _num = num * op.num;
+    _den = den * op.den;
+  }
+  return rational(_num, _den);
+}