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var $ = window.$,
rows = 3,
columns = 3,
currentLhs = [], // rows x columns matrix
currentRhs = []; // rows x 1 matrix
solutionContainer = $('#solution_container');
function main() {
$('#reset_button').on('click', onResetClicked);
$('#solve_button').on('click', onSolveClicked);
resetView();
}
function resetView() {
renderLHS();
renderUnknowns();
renderRHS();
currentLhs = [];
currentRhs = [];
for (var r = 0; r < rows; r++) {
for (var c = 0; c < columns; c++) {
currentLhs.push(0);
}
}
for (var otherR = 0; otherR < rows; otherR++) {
currentRhs.push(0);
}
solutionContainer.empty();
}
// Renders for the input container.
function renderLHS() {
var lhs = $('#matrix_lhs').empty(),
addCell = function(index) {
$('<input>').type('number').val(0).on('change', function(event) {
currentLhs[index] = Number(event.target.value);
}).appendTo(lhs);
};
for (var r = 0; r < rows; r++) {
for (var c = 0; c < columns; c++) {
addCell((r * rows) + c);
}
}
}
function renderUnknowns() {
var unknownsContainer = $('#unknown_variables').empty();
for (var r = 0; r < columns; r++) {
var cell = $('<input>').disabled(true).val(String.fromCharCode('x'.charCodeAt(0) + r).toUpperCase());
unknownsContainer.append(cell);
}
}
function renderRHS() {
var rhs = $('#matrix_rhs').empty(),
addCell = function(index) {
$('<input>').type('number').val(0).on('change', function(event) {
currentRhs[index] = Number(event.target.value);
}).appendTo(rhs);
};
for (var r = 0; r < rows; r++) {
addCell(r);
}
}
// Renders for the augmented matrix container
function renderAugmentedMatrix(lhs, rhs) {
var container = $('<div>').addClass('augmented_matrix_container'),
lhsContainer = $('<div>').appendTo(container),
rhsContainer = $('<div>').appendTo(container),
addLhsCell = function(index) {
$('<input>').type('number').val(lhs[index]).disabled(true).appendTo(lhsContainer);
},
addRhsCell = function(index) {
$('<input>').type('number').val(rhs[index]).disabled(true).appendTo(rhsContainer);
};
for (var r = 0; r < rows; r++) {
for (var c = 0; c < columns; c++) {
addLhsCell(r * rows + c);
}
}
for (var otherR = 0; otherR < rows; otherR++) {
addRhsCell(otherR);
}
return container;
}
// Solver helper functions
function findLargestValue(c, rowStart) {
var largestValue = 0,
largestRow = -1;
for (var r = rowStart; r < rows; r++) {
var currValue = Math.abs(currentLhs[r * rows + c]);
if (currValue > largestValue) {
largestValue = currValue;
largestRow = r;
}
}
return {
row: largestRow,
value: largestValue
};
}
function swapRows(r1, r2) {
if (r1 === r2) {
return;
}
for (var c = 0; c < columns; c++) {
var temp = currentLhs[r1 * row + c];
currentLhs[r1 * rows + c] = currentLhs[r2 * row + c];
currentLhs[r2 * rows + c] = temp;
}
var rhsTmp = currentRhs[r1];
currentRhs[r1] = currentRhs[r2];
currentRhs[r2] = rhsTmp;
}
function multiplyRow(r, scale) {
for (var c = 0; c < columns; c++) {
currentLhs[r * rows + c] *= scale;
}
currentRhs[r] *= scale;
}
function addRow(r, a) {
for (var c = 0; c < columns; c++) {
currentLhs[r * rows + c] += a;
}
currentRhs[r] += a;
}
// Callbacks for actions
function onResetClicked() {
resetView();
}
function onSolveClicked() {
var rowStart = 0;
for (var c = 0; c < columns; c++) {
var largestForColumn = findLargestValue(c, rowStart);
if (largestForColumn.row >= 0) {
swapRows(rowStart, largestForColumn.row);
multiplyRow(rowStart, 1.0 / largestForColumn.value);
for (var r = 0; r < rows; r++) {
if (r === rowStart) continue;
}
}
rowStart++;
}
solutionContainer.append(renderAugmentedMatrix(currentLhs, currentRhs));
solutionContainer.append(renderAugmentedMatrix(currentLhs, currentRhs));
}
main();
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