// Author: Jidong Xiao
// first we need to create a stage
var stage = new Konva.Stage({
container: 'container', // id of container
width: 2000,
height: 1000
});
// Create a layer
var layer = new Konva.Layer();
stage.add(layer);
function makeText(x,y,str,id) {
let text = new Konva.Text({
x: x,
y: y,
text: str,
id: 'text_'+id,
fontSize: 18,
fontFamily: 'Calibri',
fill: '#000000',
width: 400,
padding: 20,
});
layer.add(text);
}
// Create a function to draw nodes
function drawNode(x, y, label) {
var circle = new Konva.Circle({
x: x,
y: y,
radius: 40,
fill: 'lightgray',
stroke: 'black',
strokeWidth: 1
});
layer.add(circle);
var text = new Konva.Text({
x: x - 20,
y: y - 10,
text: label,
fontSize: 20,
fontFamily: 'Calibri',
fill: 'black'
});
layer.add(text);
}
// Draw lines connecting nodes
var line = new Konva.Line({
points: [650, 100, 450, 200, 650, 100, 850, 200],
stroke: 'black',
strokeWidth: 1,
lineCap: 'round',
lineJoin: 'round'
});
var arrow1 = new Konva.Arrow({
points: [925, 200, 1150, 200],
pointerLength: 10,
pointerWidth: 10,
id: "arrow1",
fill: 'green',
stroke: 'green',
strokeWidth: 5,
});
var line1 = new Konva.Line({
points: [450, 200, 350, 300, 450, 200, 550, 300],
stroke: 'black',
strokeWidth: 1,
lineCap: 'round',
lineJoin: 'round'
});
var line2 = new Konva.Line({
points: [850, 200, 750, 300, 850, 200, 950, 300],
stroke: 'black',
strokeWidth: 1,
lineCap: 'round',
lineJoin: 'round'
});
var arrow2 = new Konva.Arrow({
points: [1000, 300, 1150, 300],
pointerLength: 10,
pointerWidth: 10,
id: "arrow2",
fill: 'green',
stroke: 'green',
strokeWidth: 5,
});
var line3 = new Konva.Line({
points: [350, 300, 300, 400, 350, 300, 400, 400],
stroke: 'black',
strokeWidth: 1,
lineCap: 'round',
lineJoin: 'round'
});
var line4 = new Konva.Line({
points: [550, 300, 500, 400, 550, 300, 600, 400],
stroke: 'black',
strokeWidth: 1,
lineCap: 'round',
lineJoin: 'round'
});
var line5 = new Konva.Line({
points: [750, 300, 700, 400, 750, 300, 800, 400],
stroke: 'black',
strokeWidth: 1,
lineCap: 'round',
lineJoin: 'round'
});
var line6 = new Konva.Line({
points: [950, 300, 900, 400, 950, 300, 1000, 400],
stroke: 'black',
strokeWidth: 1,
lineCap: 'round',
lineJoin: 'round'
});
var arrow3 = new Konva.Arrow({
points: [1050, 400, 1150, 400],
pointerLength: 10,
pointerWidth: 10,
id: "arrow3",
fill: 'green',
stroke: 'green',
strokeWidth: 5,
});
// Create a dotted line
var dottedLine = new Konva.Line({
points: [300, 400, 200, 600],
stroke: 'black',
strokeWidth: 2,
dash: [5, 5]
});
var dottedLine2 = new Konva.Line({
points: [1000, 400, 1050, 600],
stroke: 'black',
strokeWidth: 2,
dash: [5, 5]
});
var arrow4 = new Konva.Arrow({
points: [1070, 600, 1150, 600],
pointerLength: 10,
pointerWidth: 10,
id: "arrow4",
fill: 'green',
stroke: 'green',
strokeWidth: 5,
});
var messageBox = new Konva.Rect({
x: 150,
y: 650,
width: 800,
height: 60,
fill: 'lightblue',
stroke: 'black',
strokeWidth: 4
});
var arrow = new Konva.Arrow({
x: messageBox.x() + messageBox.width() / 2,
y: messageBox.y(),
points: [0, 0, 0, -150],
pointerLength: 20,
pointerWidth: 20,
fill: 'black',
stroke: 'black',
strokeWidth: 4
});
var messageText = new Konva.Text({
x: messageBox.x() + 10,
y: messageBox.y() + 20,
text: 'In summary, T(n) = (2^0+2^1+2^2+2^3+...+2^(n-2)) * C = O(2^(n-1)) = O((2^n)/2) = O(2^n)',
fontSize: 20,
fontFamily: 'Calibri',
fill: 'black'
});
var pc=1;
function nextstep() {
if(pc == 1){
// Draw nodes
drawNode(650, 100, 'T(n)');
layer.draw();
pc=pc+1;
}else if(pc == 2){
layer.add(line);
drawNode(450, 200, 'T(n-1)');
drawNode(850, 200, 'T(n-2)');
layer.add(arrow1);
makeText(1150,170,"T(n-1)+T(n-2), 1 add operation, and we know 1 is 2^0, thus, time taken: (2^0 * C)",'L1');
layer.draw();
pc=pc+1;
}else if(pc == 3){
layer.add(line1);
layer.add(line2);
drawNode(350, 300, 'T(n-2)');
drawNode(550, 300, 'T(n-3)');
drawNode(750, 300, 'T(n-3)');
drawNode(950, 300, 'T(n-4)');
layer.add(arrow2);
makeText(1150,270,"T(n-2)+T(n-3) and T(n-3)+T(n-4), 2 add operations, and we know 2 is 2^1, thus, time taken: (2^1 * C)",'L2');
layer.draw();
pc=pc+1;
}else if(pc == 4){
layer.add(line3);
layer.add(line4);
layer.add(line5);
layer.add(line6);
layer.add(arrow3);
drawNode(300, 400, 'T(n-3)');
drawNode(400, 400, 'T(n-4)');
drawNode(500, 400, 'T(n-4)');
drawNode(600, 400, 'T(n-5)');
drawNode(700, 400, 'T(n-4)');
drawNode(800, 400, 'T(n-5)');
drawNode(900, 400, 'T(n-5)');
drawNode(1000, 400, 'T(n-6)');
makeText(1150,370,"T(n-3)+T(n-4), T(n-4)+T(n-5), T(n-4)+T(n-5) and T(n-5)+T(n-6), 4 add operations, and we know 4 is 2^2, thus, time taken: (2^2 * C)",'L3');
layer.draw();
pc=pc+1;
}else if(pc == 5){
layer.add(dottedLine);
layer.add(dottedLine2);
drawNode(200, 600, 'T(1)');
layer.add(arrow4);
makeText(1150,570,"2^(n-2) add operations, time taken: (2^(n-2) * C)",'L4');
layer.draw();
pc=pc+1;
}else if(pc == 6){
layer.add(messageBox);
layer.add(messageText);
layer.draw();
pc=pc+1;
}else if(pc == 7){
alert("End of animation! Refresh the page if you want to re-run the animation.");
layer.draw();
pc=pc+1;
}
}