From ab869556c4fbad8b29aa01245d05d78504be771d Mon Sep 17 00:00:00 2001
From: "Namhyeon, Go" <gnh1201@gmail.com>
Date: Mon, 18 Aug 2025 07:20:01 +0900
Subject: [PATCH] Add tileStartPos function and update version

Introduced tileStartPos to calculate tile coordinates based on index, size, and columns. Updated VERSIONINFO to 1.0.1 and exported the new function.
---
 lib/extramath.js | 15 +++++++++++++--
 1 file changed, 13 insertions(+), 2 deletions(-)

diff --git a/lib/extramath.js b/lib/extramath.js
index db416fd..0b1556b 100644
--- a/lib/extramath.js
+++ b/lib/extramath.js
@@ -56,7 +56,7 @@ function measureSimilarity(s1, s2) {
 }
 
 function export_measureSimilarity() {
-	return "var ExtraMath=function(){};ExtraMath.DTM=function(){this.data=[],this.terms=[],this.add=function(t){for(var r=t.trim().split(/\s+/),a=0;a<r.length;a++)0>this.terms.indexOf(r[a])&&this.terms.push(r[a]);this.data.push(r)},this.toArray=function(){for(var t=[],r=0;r<this.data.length;r++){for(var a=[],s=0;s<this.terms.length;s++)a.push(0>this.data[r].indexOf(this.terms[s])?0:1);t.push(a)}return t}},ExtraMath.arrayCos=function(t,r){var a=0,s=0,h=0;for(i=0;i<t.length;i++)a+=t[i]*r[i],s+=t[i]*t[i],h+=r[i]*r[i];return a/((s=Math.sqrt(s))*(h=Math.sqrt(h)))},ExtraMath.measureSimilarity=function(t,r){var a=new ExtraMath.DTM;a.add(t),a.add(r);var s=a.toArray();return ExtraMath.arrayCos(s[0],s[1])};";
+    return "var ExtraMath=function(){};ExtraMath.DTM=function(){this.data=[],this.terms=[],this.add=function(t){for(var r=t.trim().split(/\s+/),a=0;a<r.length;a++)0>this.terms.indexOf(r[a])&&this.terms.push(r[a]);this.data.push(r)},this.toArray=function(){for(var t=[],r=0;r<this.data.length;r++){for(var a=[],s=0;s<this.terms.length;s++)a.push(0>this.data[r].indexOf(this.terms[s])?0:1);t.push(a)}return t}},ExtraMath.arrayCos=function(t,r){var a=0,s=0,h=0;for(i=0;i<t.length;i++)a+=t[i]*r[i],s+=t[i]*t[i],h+=r[i]*r[i];return a/((s=Math.sqrt(s))*(h=Math.sqrt(h)))},ExtraMath.measureSimilarity=function(t,r){var a=new ExtraMath.DTM;a.add(t),a.add(r);var s=a.toArray();return ExtraMath.arrayCos(s[0],s[1])};";
 }
 
 // Cartesian product: https://en.wikipedia.org/wiki/Cartesian_product
@@ -96,14 +96,25 @@ function clusteredCellsDensity(numbers, size, minDensity) {
     return density >= minDensity;
 }
 
+function tileStartPos(index, size, cols) {
+    if (typeof size !== 'number') size = 130;
+    if (typeof cols !== 'number') cols = 4;
+
+    var i = index - 1;                  // convert 1-based -> 0-based
+    var col = i % cols;
+    var row = Math.floor(i / cols);
+    return { x: col * size, y: row * size };
+}
+
 exports.DTM = DTM;
 exports.arrayCos = arrayCos;
 exports.measureSimilarity = measureSimilarity;
 exports.export_measureSimilarity = export_measureSimilarity;
 exports.cartesianProduct = cartesianProduct;
 exports.clusteredCellsDensity = clusteredCellsDensity;
+exports.tileStartPos = tileStartPos;
 
-exports.VERSIONINFO = "ExtraMath module (extramath.js) version 1.0.0";
+exports.VERSIONINFO = "ExtraMath module (extramath.js) version 1.0.1";
 exports.AUTHOR = "gnh1201@catswords.re.kr";
 exports.global = global;
 exports.require = global.require;