Data update

Task/Farey-sequence/JavaScript/farey-sequence.js

@@ -0,0 +1,44 @@
+class Frac {
+  constructor(num, den) {
+    this.num = num;
+    this.den = den;
+  }
+
+  toString() {
+    return `${this.num}/${this.den}`;
+  }
+
+  valueOf() {
+    return this.num / this.den;
+  }
+}
+
+function genFarey(i) {
+  const farey = new Set();
+  const fracMap = new Map();
+
+  for (let den = 1; den <= i; den++) {
+    for (let num = 0; num <= den; num++) {
+      const value = num / den;
+      // Only add if this exact value hasn't been added yet
+      if (!fracMap.has(value)) {
+        const frac = new Frac(num, den);
+        fracMap.set(value, frac);
+        farey.add(frac);
+      }
+    }
+  }
+
+  // Sort fractions by their value
+  return Array.from(farey).sort((a, b) => a.valueOf() - b.valueOf());
+}
+
+// Main execution
+for (let i = 1; i <= 11; i++) {
+  const farey = genFarey(i);
+  console.log(`F${i}: [${farey.join(', ')}]`);
+}
+
+for (let i = 100; i <= 1000; i += 100) {
+  console.log(`F${i}: ${genFarey(i).length} members`);
+}