-
Notifications
You must be signed in to change notification settings - Fork 0
/
sketch.js
167 lines (145 loc) · 4.09 KB
/
sketch.js
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
// Created by Musab Kılıç
let shape = [
math.complex(-0.25555555555555554, - 2.2666666666666666),
math.complex(-0.18888888888888888, 0.13333333333333333),
math.complex(-0.18888888888888888, 1.5888888888888888),
math.complex(0.9111111111111111, 0.5555555555555556),
math.complex(-0.18888888888888888, 1.5888888888888888),
math.complex(1.4555555555555555, 1.7444444444444445),
math.complex(-0.18888888888888888, 1.5888888888888888),
math.complex(1, 2.522222222222222),
math.complex(-0.18888888888888888, 1.5888888888888888),
math.complex(-0.2, 2.533333333333333),
math.complex(-0.18888888888888888, 1.5888888888888888),
math.complex(-1.2333333333333334, 1.7777777777777777),
math.complex(-0.18888888888888888, 1.5888888888888888),
math.complex(-1.0555555555555556, 0.7333333333333333),
math.complex(-0.18888888888888888, 1.5888888888888888)
];
let trail = [];
let sliderTrail;
let sliderSpeed;
let sliderSize;
let buttonClear;
let TRAIL;
let SPEED;
let SIZE;
let t;
function dft(x){
let X = [];
let N = x.length;
for(let k = 0; k < N; k++){
let Xk = math.complex(0, 0);
for(let n = 0; n < N; n++){
let xn = x[n];
Xk = Xk.add(xn.mul(math.exp(math.i.mul(-2*PI*k*n/N))));
}
X.push(Xk.div(N));
}
return X;
}
function g(t, c){
let N = c.length;
let r = math.complex(0, 0);
for(let x = 0; x < c.length; x++){
let n = (x < N / 2 ? x : - N + x);
let e = c[x].mul(math.exp(math.i.mul(n * t)));
r = r.add(e);
}
return r;
}
function drawEpicycles(t){
let C = []
let N = shape.length;
let d = dft(shape);
let r = math.complex(0, 0);
for(let i = 0; i < d.length; i++){
C.push([d[i], i]);
}
C = C.sort(((x,y) => y[0].abs() - x[0].abs()));
for(let i of C){
let c = i[0];
let n = (i[1] < N / 2 ? i[1] : - N + i[1]);
let e = c.mul(math.exp(math.i.mul(n * t)));
push();
stroke(255, 255, 255, 30);
fill(255, 255, 255, 30);
ellipse(r.mul(SIZE).re, -r.mul(SIZE).im, e.mul(SIZE*2).abs());
fill(0, 0, 255, 55);
ellipse(r.mul(SIZE).re, -r.mul(SIZE).im, 10);
line(r.mul(SIZE).re, -r.mul(SIZE).im, r.add(e).mul(SIZE).re, -r.add(e).mul(SIZE).im);
pop();
r = r.add(e);
}
return r.mul(SIZE);
}
function drawComplex(num){
point(num.re, -num.im);
}
function setup() {
createCanvas(600, 600);
background(0);
createDiv("<br/>");
buttonClear = createButton("Clear");
buttonClear.mousePressed(
function(){
shape = [];
trail = [];
}
);
createP("Trail: ");
sliderTrail = createSlider(1, 400, 340);
createP("Speed: ");
sliderSpeed = createSlider(0.1, 1, 0.9, 0.3);
createP("Size: ");
sliderSize = createSlider(30, 100, 90);
createDiv("<p># Created by <a href='https://musab.netlify.com'>Musab Kılıç</a></p>");
}
function f(t){
return g(t, dft(shape)).mul(SIZE);
}
function draw() {
t = radians(frameCount) * SPEED;
TRAIL = sliderTrail.value();
SPEED = sliderSpeed.value();
SIZE = sliderSize.value();
background(0);
translate(width/2, height/2);
trail.push(drawEpicycles(t));
if(trail.length > TRAIL){
trail = trail.slice(trail.length - TRAIL);
}
stroke(255);
strokeWeight(3);
/*for(let point of trail){
drawComplex(point);
}*/
for(let i=0;i<trail.length-1;i++){
let pointA = trail[i];
let pointB = trail[i+1];
line(pointA.re, -pointA.im, pointB.re, -pointB.im);
}
stroke(255, 0, 0);
strokeWeight(7);
for(let point of shape){
drawComplex(point.mul(SIZE));
}
stroke(255);
strokeWeight(1);
noFill();
let C = []
let d = dft(shape);
for(let i = 0; i < d.length; i++){
C.push([d[i], i]);
}
}
function mousePressed(){
if(event.type != 'touchstart'){
if(mouseX < width){
if(mouseY < height){
trail = [];
shape.push(math.complex((mouseX-width/2)/SIZE, -(mouseY-height/2)/SIZE));
}
}
}
}