comparison client/digitallibrary/jquery/dlGeometry.js @ 606:8204615dad77 jquery

geometry classes as extra file
author robcast
date Thu, 13 Jan 2011 14:52:13 +0100
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children c2566e470569
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605:aee94e4a8c48 606:8204615dad77
1 /* digilib geometry classes
2 * should be integrated into jquery.digilib.js
3 */
4
5 var dlGeometry = function() {
6 /*
7 * Size class
8 */
9 var size = function (w, h) {
10 var that = {
11 width : parseFloat(w),
12 height : parseFloat(h)
13 };
14 that.equals = function(other) {
15 return (this.width === other.width && this.height === other.height);
16 };
17 that.toString = function() {
18 return (this.width + "x" + this.height);
19 };
20 return that;
21 };
22
23 /*
24 * Position class
25 */
26 var position = function (x, y) {
27 var that = {
28 x : parseFloat(x),
29 y : parseFloat(y)
30 };
31 that.equals = function(other) {
32 return (this.x === other.x && this.y === other.y);
33 };
34 that.toString = function() {
35 return (this.x + "," + this.y);
36 };
37 return that;
38 };
39 /*
40 * Rectangle class
41 */
42 var rectangle = function (x, y, w, h) {
43 var that = {};
44 if (typeof x === "object") {
45 // assume x and y are Position
46 that = {
47 x : x.x,
48 y : x.y,
49 width : y.x - x.x,
50 height : y.y - x.y
51 };
52 } else {
53 that = {
54 x : parseFloat(x),
55 y : parseFloat(y),
56 width : parseFloat(w),
57 height : parseFloat(h)
58 };
59 }
60 // returns a copy of this Rectangle
61 that.copy = function() {
62 return rectangle(this.x, this.y, this.width, this.height);
63 };
64 // returns the position of this Rectangle
65 that.getPosition = function() {
66 return position(this.x, this.y);
67 };
68 // returns the upper left corner position
69 that.getPt1 = that.getPosition;
70 // returns the lower right corner position of this Rectangle
71 that.getPt2 = function() {
72 return position(this.x + this.width, this.y + this.height);
73 };
74 // sets the upper left corner to position pos
75 that.setPt1 = function(pos) {
76 this.x = pos.x;
77 this.y = pos.y;
78 return this;
79 };
80 that.setPt2 = function(pos) {
81 // sets the lower right corner to position pos
82 this.width = pos.x - this.x;
83 this.height = pos.y - this.y;
84 return this;
85 };
86 that.getCenter = function() {
87 // returns the center position of this Rectangle
88 return position(this.x + this.width / 2, this.y + this.height / 2);
89 };
90 that.setCenter = function(pos) {
91 // moves this Rectangle's center to position pos
92 this.x = pos.x - this.width / 2;
93 this.y = pos.y - this.height / 2;
94 return this;
95 };
96 that.getSize = function() {
97 // returns the size of this Rectangle
98 return size(this.width, this.height);
99 };
100 that.equals = function(other) {
101 // equal props
102 var eq = (this.x === other.x && this.y === other.y &&
103 this.width === other.width);
104 return eq;
105 };
106 that.getArea = function() {
107 // returns the area of this Rectangle
108 return (this.width * this.height);
109 };
110 that.normalize = function() {
111 // eliminates negative width and height
112 var p = this.getPt2();
113 this.x = Math.min(this.x, p.x);
114 this.y = Math.min(this.y, p.y);
115 this.width = Math.abs(this.width);
116 this.height = Math.abs(this.height);
117 return this;
118 };
119 that.containsPosition = function(pos) {
120 // returns if Position "pos" lies inside of this rectangle
121 var ct = ((pos.x >= this.x) && (pos.y >= this.y) &&
122 (pos.x <= this.x + this.width) && (pos.y <= this.y + this.width));
123 return ct;
124 };
125 that.containsRect = function(rect) {
126 // returns if rectangle "rect" is contained in this rectangle
127 return (this.containsPosition(rect.getPt1()) && this.containsPosition(rect.getPt2()));
128 };
129 that.stayInside = function(rect) {
130 // changes this rectangle's x/y values so it stays inside of rectangle rect
131 // keeping the proportions
132 if (this.x < rect.x) {
133 this.x = rect.x;
134 }
135 if (this.y < rect.y) {
136 this.y = rect.y;
137 }
138 if (this.x + this.width > rect.x + rect.width) {
139 this.x = rect.x + rect.width - this.width;
140 }
141 if (this.y + this.height > rect.y + rect.height) {
142 this.y = rect.y + rect.height - this.height;
143 }
144 return this;
145 };
146 that.clipTo = function(rect) {
147 // clips this rectangle so it stays inside of rectangle rect
148 var p1 = rect.getPt1();
149 var p2 = rect.getPt2();
150 var this2 = this.getPt2();
151 this.setPt1(position(Math.max(this.x, p1.x), Math.max(this.y, p1.y)));
152 this.setPt2(position(Math.min(this2.x, p2.x), Math.min(this2.y, p2.y)));
153 return this;
154 };
155 that.intersect = function(rect) {
156 // returns the intersection of the given Rectangle and this one
157 // FIX ME: not really, it should return null if there is no overlap
158 var sec = rect.copy();
159 if (sec.x < this.x) {
160 sec.width = sec.width - (this.x - sec.x);
161 sec.x = this.x;
162 }
163 if (sec.y < this.y) {
164 sec.height = sec.height - (this.y - sec.y);
165 sec.y = this.y;
166 }
167 if (sec.x + sec.width > this.x + this.width) {
168 sec.width = (this.x + this.width) - sec.x;
169 }
170 if (sec.y + sec.height > this.y + this.height) {
171 sec.height = (this.y + this.height) - sec.y;
172 }
173 return sec;
174 };
175 that.fit = function(rect) {
176 // returns a Rectangle that fits into this one (by moving first)
177 var sec = rect.copy();
178 sec.x = Math.max(sec.x, this.x);
179 sec.y = Math.max(sec.y, this.x);
180 if (sec.x + sec.width > this.x + this.width) {
181 sec.x = this.x + this.width - sec.width;
182 }
183 if (sec.y + sec.height > this.y + this.height) {
184 sec.y = this.y + this.height - sec.height;
185 }
186 return sec.intersect(this);
187 };
188 that.toString = function() {
189 return this.width+"x"+this.height+"@"+this.x+","+this.y;
190 };
191 return that;
192 };
193
194 /*
195 * Transform class
196 *
197 * defines a class of affine transformations
198 */
199 var transform = function (spec) {
200 var that = {
201 m00 : spec.m00 || 1.0,
202 m01 : spec.m01 || 0.0,
203 m02 : spec.m02 || 0.0,
204 m10 : spec.m10 || 0.0,
205 m11 : spec.m11 || 1.0,
206 m12 : spec.m12 || 0.0,
207 m20 : spec.m20 || 0.0,
208 m21 : spec.m21 || 0.0,
209 m22 : spec.m22 || 1.0
210 };
211 that.concat = function(traf) {
212 // add Transform traf to this Transform
213 for (var i = 0; i < 3; i++) {
214 for (var j = 0; j < 3; j++) {
215 var c = 0.0;
216 for (var k = 0; k < 3; k++) {
217 c += traf["m"+i+k] * this["m"+k+j];
218 }
219 this["m"+i+j] = c;
220 }
221 }
222 return this;
223 };
224 that.transform = function(rect) {
225 // returns transformed Rectangle or Position with this Transform applied
226 var x = this.m00 * rect.x + this.m01 * rect.y + this.m02;
227 var y = this.m10 * rect.x + this.m11 * rect.y + this.m12;
228 if (rect.width) {
229 // transform the other corner points
230 var pt2 = rect.getPt2();
231 var x2 = this.m00 * pt2.x + this.m01 * pt2.y + this.m02;
232 var y2 = this.m10 * pt2.x + this.m11 * pt2.y + this.m12;
233 var width = x2 - x;
234 var height = y2 - y;
235 return rectangle(x, y, width, height);
236 }
237 return position(x, y);
238 };
239 that.invtransform = function(rect) {
240 // returns transformed Rectangle or Position with the inverse of this Transform applied
241 var det = this.m00 * this.m11 - this.m01 * this.m10;
242 var x = (this.m11 * rect.x - this.m01 * rect.y - this.m11 * this.m02 + this.m01 * this.m12) / det;
243 var y = (- this.m10 * rect.x + this.m00 * rect.y + this.m10 * this.m02 - this.m00 * this.m12) / det;
244 if (rect.width) {
245 // transform the other corner points
246 var pt2 = rect.getPt2();
247 var x2 = (this.m11 * pt2.x - this.m01 * pt2.y - this.m11 * this.m02 + this.m01 * this.m12) / det;
248 var y2 = (- this.m10 * pt2.x + this.m00 * pt2.y + this.m10 * this.m02 - this.m00 * this.m12) / det;
249 var width = x2 - x;
250 var height = y2 - y;
251 return rectangle(x, y, width, height);
252 }
253 return position(x, y);
254 };
255 that.getRotation = getRotation;
256 that.getTranslation = getTranslation;
257 that.getScale = getScale;
258
259 return that;
260 };
261
262 transform.getRotation = function (angle, pos) {
263 // returns a Transform that is a rotation by angle degrees around [pos.x, pos.y]
264 if (angle !== 0) {
265 var t = 2.0 * Math.PI * parseFloat(angle) / 360.0;
266 var traf = {
267 m00 : Math.cos(t),
268 m01 : - Math.sin(t),
269 m10 : Math.sin(t),
270 m11 : Math.cos(t),
271 m02 : pos.x - pos.x * Math.cos(t) + pos.y * Math.sin(t),
272 m12 : pos.y - pos.x * Math.sin(t) - pos.y * Math.cos(t)
273 };
274 return transform(traf);
275 }
276 return transform();
277 };
278
279 transform.getTranslation = function (pos) {
280 // returns a Transform that is a translation by [pos.x, pos,y]
281 var traf = {
282 m02 : pos.x,
283 m12 : pos.y
284 };
285 return transform(traf);
286 };
287
288 transform.getScale = function (size) {
289 // returns a Transform that is a scale by [size.width, size.height]
290 var traf = {
291 m00 : size.width,
292 m11 : size.height
293 };
294 return transform(traf);
295 };
296
297 // export functions
298 var that = {
299 size : size,
300 position : position,
301 rectangle : rectangle,
302 transform : transform
303 };
304
305 return that;
306 };