kjao/archive
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

added fixes for chemical equation balancer

Browse Source
This commit is contained in:
Kenneth Jao 2016-07-16 13:46:17 +08:00
parent 34c273c2d2
commit c99fcd3009
1 changed files with 54 additions and 29 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

83
atoms/js/tools.js
View File

@ -144,11 +144,12 @@ function balanceEquation(reactant, product) {
var vary = []; var vary = [];
var matrix = []; var matrix = [];
var freeMatrix = []; var freeMatrix = [];
var finalMatrix = [];
// Create array from inputs. // Create array from inputs.
formulaStr = reactant + "+" + product; formulaStr = reactant + "+" + product;
compounds = formulaStr.replace(/\s/g,"").split("+"); compounds = formulaStr.replace(/\s/g,"").split("+");
// Create element matrix. // Create element matrix.
for(var i = 0; i < compounds.length; i++) { for(var i = 0; i < compounds.length; i++) {
var counter = 0; var counter = 0;
@ -181,7 +182,7 @@ function balanceEquation(reactant, product) {
} }
} }
} }
for(var x = 0; x < vary.length; x++) { for(var x = 0; x < vary.length; x++) {
matrix[x] = []; matrix[x] = [];
for(var y = 0; y < compounds.length; y++) { for(var y = 0; y < compounds.length; y++) {
@ -241,52 +242,76 @@ function balanceEquation(reactant, product) {
} }
} }
lead++; lead++;
} }
// Extract free matrix. // Extract free matrix.
for(var f = 0; f < matrix.length-1; f++) { var rank = matrix.length;
freeMatrix.push(matrix[f][matrix[f].length-1]); for(var m = 0; m < rank; m++) {
freeMatrix[m] = [];
for(var n = rank; n < matrix[0].length; n++) {
freeMatrix[m].push(-1*matrix[m][n]);
}
} }
freeMatrix.push(1);
// Adding identity matrix.
for(var e = 0; e < compounds.length-freeMatrix.length; e++) {
freeMatrix.push([]);
for(var f = 0; f < compounds.length-rank; f++) {
if((f/2) == parseInt(f/2)) {
freeMatrix[e+rank].push(1);
} else {
freeMatrix[e+rank].push(0);
}
}
}
// Adding and converting into 1 column/row.
for(var o = 0; o < freeMatrix.length; o++) {
var value = 0;
for(var p = 0; p< freeMatrix[0].length; p++) {
value += freeMatrix[o][p];
}
finalMatrix.push(value);
}
// Multiply all to integers. // Multiply all to integers.
var power = 1; var mul = 1;
var testPow = 1; var testMul = 1;
for(var g = 0; g < freeMatrix.length; g++) { for(var g = 0; g < finalMatrix.length; g++) {
var testInt = freeMatrix[g] * Math.pow(10,testPow); var testInt = finalMatrix[g] * testMul;
while(!(testInt == parseInt(testInt))) { while(testInt != parseInt(testInt)) {
testPow += 1; testMul += 1;
testInt = finalMatrix[g] * testMul;
} }
if(testPow > power) { if(testMul < mul) {
power = testPow; mul = testMul;
} }
} }
for(var h = 0; h < freeMatrix.length; h++) { for(var h = 0; h < finalMatrix.length; h++) {
freeMatrix[h] *= Math.pow(10,power); finalMatrix[h] *= testMul;
} }
// Get GCD. // Get GCD.
var gcd = freeMatrix[0]; var gcd = finalMatrix[0];
for(var u = 0; u < freeMatrix.length-2; u++) { for(var u = 0; u < finalMatrix.length-2; u++) {
gcd = getGCD(gcd, freeMatrix[u+1]); gcd = getGCD(gcd, finalMatrix[u+1]);
} }
// Get final answers. // Get final answers.
for(var w = 0; w < freeMatrix.length; w++) { for(var w = 0; w < finalMatrix.length; w++) {
freeMatrix[w] /= gcd; finalMatrix[w] /= gcd;
freeMatrix[w] = Math.abs(freeMatrix[w]); finalMatrix[w] = Math.abs(finalMatrix[w]);
if(freeMatrix[w] != 1) { if(finalMatrix[w] != 1) {
freeMatrix[w] += compounds[w][0]; finalMatrix[w] += compounds[w][0];
} else { } else {
freeMatrix[w] = compounds[w][0]; finalMatrix[w] = compounds[w][0];
} }
} }
return freeMatrix; return finalMatrix;
} }
function getGCD(a,b) { function getGCD(a,b) {