FIX #2645 Better Faux Pickup Support (#4068)

* FIX #2645 Better Faux Pickup Support

Changes Made-

Added logic to handle non-negative pickup values and support "faux pickups" like 1/3.
Ensured notationPickup is called after setting the pickup value.

Validated the pickup value before passing it to MeterActions.setPickup to prevent errors.

Added input validation for pickup values in flow, ensuring only valid values are processed.

* Updating rationalToFraction function to handle all the edge cases for better error handling

* Forgot to commit the Syntax error fix

* removed warning messgae

* removed unnecesarry warning

js/blocks/MeterBlocks.js

@@ -1319,7 +1319,7 @@ function setupMeterBlocks(activity) {
          */
         flow(args, logo, turtle, blk) {
             const arg0 = args[0];
-            if (args.length !== 1 || typeof args[0] !== "number") {
+            if (args.length !== 1 || typeof args[0] !== "number" || arg0 < 0) {
                 activity.errorMsg(NOINPUTERRORMSG, blk);
                 return;
             }

js/js-export/export.js

@@ -353,7 +353,8 @@ class MusicBlocks {
 
     set PICKUP(value) {
         const args = JSInterface.validateArgs("PICKUP", [value]);
-        Singer.MeterActions.setPickup(args[0], this.turIndex);
+        const validatedValue = Math.max(0, args[0]);
+        Singer.MeterActions.setPickup(validatedValue, this.turIndex);
     }
 
     get WHOLENOTESPLAYED() {

js/notation.js

@@ -347,13 +347,6 @@ class Notation {
             this._notationStaging[turtle].push("pickup", beat);
             this._pickupPOW2[turtle] = true;
         } else {
-            if (this.activity.logo.runningLilypond) {
-                obj = rationalToFraction(factor);
-                this.activity.errorMsg(
-                    _("Lilypond cannot process pickup of ") + obj[0] + "/" + obj[1]
-                );
-            }
-
             obj = rationalToFraction(1 - factor);
             for (let i = 0; i < obj[0]; i++) {
                 this.activity.logo.updateNotation(["R"], obj[1], turtle, false, "");

js/utils/utils.js

@@ -1143,6 +1143,9 @@ readable-fractions/681534#681534
     "3/5"
 
     */
+    if (d === 0 || isNaN(d) || !isFinite(d)) {
+        return [0, 1];
+    }
 
     let invert;
     if (d > 1) {
@@ -1154,17 +1157,25 @@ readable-fractions/681534#681534
 
     let df = 1.0;
     let top = 1;
+    let iterations = 0
+    const maxIterations = 10000;
     let bot = 1;
 
-    while (Math.abs(df - d) > 0.00000001) {
+    while (Math.abs(df - d) > 0.00000001 && iterations < maxIterations) {
         if (df < d) {
             top += 1;
         } else {
             bot += 1;
-            top = Math.floor(d * bot);
+            top = Math.round(d * bot);
         }
 
         df = top / bot;
+        iterations++;
+    }
+
+    if (iterations === maxIterations) {
+        //console.warn("rationalToFraction: Reached iteration limit");
+        return [top, bot];
     }
 
     if (bot === 0 || top === 0) {