Участник:StarfloFr
Материал из Department of Theoretical and Applied Mechanics
Код программы[править]
Код программы на языке JavaScript:
1 class Ball {
2 constructor(x, y, r, vx, vy,color){
3 this.x = x;
4 this.y = y;
5 this.r = r;
6 this.vx = vy;
7 this.vy = vx;
8
9 this.calculateMass();
10
11 this.color = color;
12 }
13
14 calculateMass() {
15 this.m = (this.r * this.r * this.r)/50 ;
16 }
17
18 getVx() {
19 return this.vx * Math.pow(2, timeSpeed);
20 }
21
22 getVy() {
23 return this.vy * Math.pow(2, timeSpeed);
24 }
25
26 move() {
27 this.x += this.getVx();
28 this.y += this.getVy();
29 }
30
31 }
32
33 var count = 50;
34
35 var MAX_SPEED = 20;
36 var MIN_RADIUS = 100;
37 var MAX_RADIUS = 100;
38 var WIDTH = 10000;
39
40 var timeSpeed = 0;
41
42 var balls = [];
43
44 var canvas;
45 var ctx;
46 var T = 300;
47 var pathx = [];
48 var pathy = [];
49
50 function random(min, max) {
51 return Math.random() * (max - min) + min;
52 }
53
54 function move() {
55
56 for (var i = 0; i < count; i++) {
57 var ball = balls[i];
58
59 if (ball.x < ball.r && ball.vx < 0)
60 ball.vx *=-1;
61 if (ball.x > WIDTH-ball.r && ball.vx > 0)
62 ball.vx *=-1;
63 if (ball.y < ball.r && ball.vy < 0)
64 ball.vy *=-1;
65 if (ball.y > WIDTH-ball.r && ball.vy > 0)
66 ball.vy *=-1;
67
68 for (var j = i + 1; j < count; j++) {
69 var ball2= balls[j];
70 var z = (ball.x - ball2.x) * (ball.getVx() - ball2.getVx()) + (ball.y - ball2.y) * (ball.getVy() - ball2.getVy());
71 var l = Math.pow(ball.getVx() - ball2.getVx(), 2) + Math.pow(ball.getVy() - ball2.getVy(), 2);
72 var m = Math.pow(ball.x - ball2.x, 2) + Math.pow(ball.y - ball2.y, 2) - Math.pow(ball.r + ball2.r, 2);
73
74 var d = z*z - l*m;
75
76 var t0 = -(z + Math.sqrt(d)) / l;
77
78 var p = Math.pow(ball.x - ball2.x, 2) + Math.pow(ball.y - ball2.y, 2);
79
80 if (t0 >= 0 && t0 <= 1 || p < Math.pow(ball.r + ball2.r, 2)) {
81 ball.x += t0 * ball.getVx();
82 ball.y += t0 * ball.getVy();
83 ball2.x += t0 * ball2.getVx();
84 ball2.y += t0 * ball2.getVy();
85
86 var px = ball.x - ball2.x;
87 var py = ball.y - ball2.y;
88
89 var q = 2 * (px * (ball2.vx - ball.vx) + py * (ball2.vy - ball.vy))
90
91 var dvx = q * px / (Math.pow(px, 2) + Math.pow(py,2)) * ball.m * ball2.m / (ball.m + ball2.m);
92 var dvy = q * py / (Math.pow(px, 2) + Math.pow(py,2)) * ball.m * ball2.m / (ball.m + ball2.m);
93 var k = 1.38 * Math.pow(10,-23);
94
95 ball.vx += dvx / ball.m;
96 ball.vy += dvy / ball.m;
97 ball2.vx -= dvx / ball2.m;
98 ball2.vy -= dvy / ball2.m;
99
100 }
101
102 }
103
104 ball.move();
105 }
106
107
108 draw();
109 }
110
111
112
113 function draw() {
114 ctx.clearRect(0, 0, canvas.width, canvas.height);
115
116 var c = canvas.width / WIDTH;
117
118 for (var i = 0; i < count; i++) {
119 var ball= balls[i];
120 ctx.beginPath();
121 ctx.arc(ball.x * c, ball.y * c, ball.r * c, 0, 2 * Math.PI, false);
122
123 if (document.getElementById('color').checked)
124 ctx.fillStyle = ball.color;
125 else
126 ctx.fillStyle = 'blue';
127
128 ctx.fill();
129
130
131
132 }
133 drawPath();
134 }
135
136 function start() {
137 balls[0]= new Ball( WIDTH/2 , WIDTH/2, 500, 0, 0,'red');
138 for (var i = 1; i < count; i++) {
139 var r = random(MIN_RADIUS, MAX_RADIUS);
140 balls[i] = new Ball(random(r, WIDTH - r), random(r, WIDTH - r), r, random(-MAX_SPEED, MAX_SPEED), random(-MAX_SPEED, MAX_SPEED),'blue');
141
142 }
143
144 canvas = document.getElementById('GG');
145 ctx = canvas.getContext('2d');
146
147 setInterval(move, 1);
148 }
149
150 function weight() {
151
152 var r = parseInt(document.getElementById('weight').value);
153 if (r > WIDTH / 2 || r < 50)
154 return;
155
156 var oldMass = balls[0].m;
157 balls[0].r = r;
158 balls[0].calculateMass();
159
160 balls[0].vx *= Math.sqrt(oldMass / balls[0].m);
161 balls[0].vy *= Math.sqrt(oldMass / balls[0].m);
162
163 if (balls[0].x > WIDTH - r)
164 balls[0].x = WIDTH - r;
165 if (balls[0].x < r)
166 balls[0].x = r;
167 if (balls[0].y > WIDTH - r)
168 balls[0].y = WIDTH - r;
169 if (balls[0].y < r)
170 balls[0].y = r;
171
172 }
173
174 function changeSize() {
175 canvas.width = document.getElementById('size').value;
176 canvas.height = document.getElementById('size').value;
177 }
178
179 var tander = 0;
180
181 function drawPath() {
182 tander++;
183 if (tander === 5) {
184 tander = 0;
185 if (pathx.length>=1000) {
186 pathx.shift();
187 pathy.shift();
188 }
189
190 var c = canvas.width / WIDTH;
191 pathx.push( balls[0].x*c);
192 pathy.push( balls[0].y*c);
193 }
194 ctx.beginPath();
195 ctx.lineWidth = 2;
196 ctx.strokeStyle = 'Black';
197 ctx.moveTo(pathx[0], pathy[0]);
198
199 for (i=1;i<pathx.length; i++) {
200 ctx.lineTo(pathx[i], pathy[i]);
201 }
202
203 ctx.stroke();
204 }
205
206
207
208 function add() {
209 var k = parseInt(document.getElementById('addCount').value);
210 k = Math.min(k , 250 - balls.length);
211 for (var i = 0; i < k; i++) {
212 var r = random(MIN_RADIUS, MAX_RADIUS);
213 balls[count + i] = new Ball(random(r, WIDTH - r), random(r, WIDTH - r), r, random(-MAX_SPEED, MAX_SPEED), random(-MAX_SPEED, MAX_SPEED));
214
215 }
216 count += k;
217 }
218
219 function del() {
220 var k = Math.min(count - 1, parseInt(document.getElementById('addCount').value));
221 balls = balls.slice(0, count - k);
222 count -= k;
223 }
224
225 function slowly() {
226 if (timeSpeed > -3)
227 timeSpeed--;
228 }
229
230 function faster() {
231 if (timeSpeed < 3)
232 timeSpeed++;
233 }
