[231] | 1 | // ///////////////////////////////////////////////////
|
---|
| 2 | // Computing angle between two vectors
|
---|
| 3 | function vectorsAngle(v1, v2)
|
---|
| 4 | {
|
---|
| 5 | var x1 = v1[0];
|
---|
| 6 | var y1 = v1[1];
|
---|
| 7 | var l1 = Math.sqrt(x1 * x1 + y1 * y1);
|
---|
| 8 |
|
---|
| 9 | var x2 = v2[0];
|
---|
| 10 | var y2 = v2[1];
|
---|
| 11 | var l2 = Math.sqrt(x2 * x2 + y2 * y2);
|
---|
| 12 |
|
---|
| 13 | var vProduct = x1 * y2 - y1 * x2;
|
---|
| 14 | var direction;
|
---|
| 15 |
|
---|
| 16 | if (vProduct >= 0)
|
---|
| 17 | direction = 1.0;
|
---|
| 18 | else
|
---|
| 19 | direction = -1.0;
|
---|
| 20 |
|
---|
| 21 | var cosinus = (x1 * x2 + y1 * y2) / (l1 * l2);
|
---|
| 22 | var angle = Math.acos(cosinus);
|
---|
| 23 |
|
---|
| 24 | print("Vector1: [" + x1 + ", " + y1 + "] Vector2: " + x1 + ", " + y1 + "] " +
|
---|
| 25 | "Angle: " + (180.0 * angle / Math.pi) + " Direction: " + direction);
|
---|
| 26 |
|
---|
| 27 | return direction * angle;
|
---|
| 28 | }
|
---|
| 29 |
|
---|
| 30 | // ///////////////////////////////////////////////////
|
---|
| 31 | // Computing rotated vector v1 by angle theta
|
---|
| 32 | function rotateVector(v1, theta)
|
---|
| 33 | {
|
---|
| 34 | var x1 = v1[0];
|
---|
| 35 | var y1 = v1[1];
|
---|
| 36 | var x2 = x1 * Math.cos(inRads(theta)) - y1 * Math.sin(inRads(theta));
|
---|
| 37 | var y2 = x1 * Math.sin(inRads(theta)) + y1 * Math.cos(inRads(theta));
|
---|
| 38 |
|
---|
| 39 | return [x2, y2];
|
---|
| 40 | }
|
---|
| 41 |
|
---|
| 42 | // ///////////////////////////////////////////////////
|
---|
| 43 | // Convert degrees to radians
|
---|
| 44 | function inRads(degrees)
|
---|
| 45 | {
|
---|
| 46 | return (Math.pi * degrees) / 180.0;
|
---|
| 47 | }
|
---|
| 48 |
|
---|
| 49 | // ///////////////////////////////////////////////////
|
---|
| 50 | // Returns the index of the row containing given value in given column
|
---|
| 51 | // -1 if value was not found
|
---|
| 52 | function arrayContains(array, column, value)
|
---|
| 53 | {
|
---|
| 54 | if (array == null) return -1;
|
---|
| 55 | var i = 0;
|
---|
| 56 | for (i = 0; i < array.size; i++)
|
---|
| 57 | {
|
---|
| 58 | if (array.get(i) != null)
|
---|
| 59 | if (array.get(i).get(column) == value) return i;
|
---|
| 60 | }
|
---|
| 61 | return -1;
|
---|
| 62 | } |
---|