Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 | 1x 1x 1x 8x 8x 8x 2x 2x 2x 2x 2x 2x 1x 2x 2x 6x 10x 9x 10x 8x 8x 8x 8x 8x 8x 8x 3x 3x 3x 3x 3x 3x 5x 3x 3x 3x 3x 3x 3x 2x 2x 2x 2x 2x 8x 8x 8x 8x 8x 8x 8x 1x 1x 11x 11x 11x 11x 11x 11x 10x 9x 9x 8x 6x 5x 5x 5x 5x 5x 6x 5x 5x 5x 5x 5x 5x 8x 8x 8x 8x 8x 8x 1x 18x 8x 6x 6x 1x 1x 1x 1x 1x 12x | import Cartesian3 from "./Cartesian3.js";
import Cartesian4 from "./Cartesian4.js";
import Check from "./Check.js";
import Frozen from "./Frozen.js";
import defined from "./defined.js";
import HermiteSpline from "./HermiteSpline.js";
import Matrix4 from "./Matrix4.js";
import Spline from "./Spline.js";
const scratchTimeVec = new Cartesian4();
const scratchTemp0 = new Cartesian3();
const scratchTemp1 = new Cartesian3();
function createEvaluateFunction(spline) {
const points = spline.points;
const times = spline.times;
if (points.length < 3) {
const t0 = times[0];
const invSpan = 1.0 / (times[1] - t0);
const p0 = points[0];
const p1 = points[1];
return function (time, result) {
if (!defined(result)) {
result = new Cartesian3();
}
const u = (time - t0) * invSpan;
return Cartesian3.lerp(p0, p1, u, result);
};
}
return function (time, result) {
if (!defined(result)) {
result = new Cartesian3();
}
const i = (spline._lastTimeIndex = spline.findTimeInterval(
time,
spline._lastTimeIndex,
));
const u = (time - times[i]) / (times[i + 1] - times[i]);
const timeVec = scratchTimeVec;
timeVec.z = u;
timeVec.y = u * u;
timeVec.x = timeVec.y * u;
timeVec.w = 1.0;
let p0;
let p1;
let p2;
let p3;
let coefs;
if (i === 0) {
p0 = points[0];
p1 = points[1];
p2 = spline.firstTangent;
p3 = Cartesian3.subtract(points[2], p0, scratchTemp0);
Cartesian3.multiplyByScalar(p3, 0.5, p3);
coefs = Matrix4.multiplyByVector(
HermiteSpline.hermiteCoefficientMatrix,
timeVec,
timeVec,
);
} else if (i === points.length - 2) {
p0 = points[i];
p1 = points[i + 1];
p3 = spline.lastTangent;
p2 = Cartesian3.subtract(p1, points[i - 1], scratchTemp0);
Cartesian3.multiplyByScalar(p2, 0.5, p2);
coefs = Matrix4.multiplyByVector(
HermiteSpline.hermiteCoefficientMatrix,
timeVec,
timeVec,
);
} else {
p0 = points[i - 1];
p1 = points[i];
p2 = points[i + 1];
p3 = points[i + 2];
coefs = Matrix4.multiplyByVector(
CatmullRomSpline.catmullRomCoefficientMatrix,
timeVec,
timeVec,
);
}
result = Cartesian3.multiplyByScalar(p0, coefs.x, result);
Cartesian3.multiplyByScalar(p1, coefs.y, scratchTemp1);
Cartesian3.add(result, scratchTemp1, result);
Cartesian3.multiplyByScalar(p2, coefs.z, scratchTemp1);
Cartesian3.add(result, scratchTemp1, result);
Cartesian3.multiplyByScalar(p3, coefs.w, scratchTemp1);
return Cartesian3.add(result, scratchTemp1, result);
};
}
const firstTangentScratch = new Cartesian3();
const lastTangentScratch = new Cartesian3();
/**
* A Catmull-Rom spline is a cubic spline where the tangent at control points,
* except the first and last, are computed using the previous and next control points.
* Catmull-Rom splines are in the class C<sup>1</sup>.
*
* @alias CatmullRomSpline
* @constructor
*
* @param {object} options Object with the following properties:
* @param {number[]} options.times An array of strictly increasing, unit-less, floating-point times at each point.
* The values are in no way connected to the clock time. They are the parameterization for the curve.
* @param {Cartesian3[]} options.points The array of {@link Cartesian3} control points.
* @param {Cartesian3} [options.firstTangent] The tangent of the curve at the first control point.
* If the tangent is not given, it will be estimated.
* @param {Cartesian3} [options.lastTangent] The tangent of the curve at the last control point.
* If the tangent is not given, it will be estimated.
*
* @exception {DeveloperError} points.length must be greater than or equal to 2.
* @exception {DeveloperError} times.length must be equal to points.length.
*
*
* @example
* // spline above the earth from Philadelphia to Los Angeles
* const spline = new Cesium.CatmullRomSpline({
* times : [ 0.0, 1.5, 3.0, 4.5, 6.0 ],
* points : [
* new Cesium.Cartesian3(1235398.0, -4810983.0, 4146266.0),
* new Cesium.Cartesian3(1372574.0, -5345182.0, 4606657.0),
* new Cesium.Cartesian3(-757983.0, -5542796.0, 4514323.0),
* new Cesium.Cartesian3(-2821260.0, -5248423.0, 4021290.0),
* new Cesium.Cartesian3(-2539788.0, -4724797.0, 3620093.0)
* ]
* });
*
* const p0 = spline.evaluate(times[i]); // equal to positions[i]
* const p1 = spline.evaluate(times[i] + delta); // interpolated value when delta < times[i + 1] - times[i]
*
* @see ConstantSpline
* @see SteppedSpline
* @see HermiteSpline
* @see LinearSpline
* @see QuaternionSpline
* @see MorphWeightSpline
*/
function CatmullRomSpline(options) {
options = options ?? Frozen.EMPTY_OBJECT;
const points = options.points;
const times = options.times;
let firstTangent = options.firstTangent;
let lastTangent = options.lastTangent;
//>>includeStart('debug', pragmas.debug);
Check.defined("points", points);
Check.defined("times", times);
Check.typeOf.number.greaterThanOrEquals("points.length", points.length, 2);
Check.typeOf.number.equals(
"times.length",
"points.length",
times.length,
points.length,
);
//>>includeEnd('debug');
if (points.length > 2) {
if (!defined(firstTangent)) {
firstTangent = firstTangentScratch;
Cartesian3.multiplyByScalar(points[1], 2.0, firstTangent);
Cartesian3.subtract(firstTangent, points[2], firstTangent);
Cartesian3.subtract(firstTangent, points[0], firstTangent);
Cartesian3.multiplyByScalar(firstTangent, 0.5, firstTangent);
}
if (!defined(lastTangent)) {
const n = points.length - 1;
lastTangent = lastTangentScratch;
Cartesian3.multiplyByScalar(points[n - 1], 2.0, lastTangent);
Cartesian3.subtract(points[n], lastTangent, lastTangent);
Cartesian3.add(lastTangent, points[n - 2], lastTangent);
Cartesian3.multiplyByScalar(lastTangent, 0.5, lastTangent);
}
}
this._times = times;
this._points = points;
this._firstTangent = Cartesian3.clone(firstTangent);
this._lastTangent = Cartesian3.clone(lastTangent);
this._evaluateFunction = createEvaluateFunction(this);
this._lastTimeIndex = 0;
}
Object.defineProperties(CatmullRomSpline.prototype, {
/**
* An array of times for the control points.
*
* @memberof CatmullRomSpline.prototype
*
* @type {number[]}
* @readonly
*/
times: {
get: function () {
return this._times;
},
},
/**
* An array of {@link Cartesian3} control points.
*
* @memberof CatmullRomSpline.prototype
*
* @type {Cartesian3[]}
* @readonly
*/
points: {
get: function () {
return this._points;
},
},
/**
* The tangent at the first control point.
*
* @memberof CatmullRomSpline.prototype
*
* @type {Cartesian3}
* @readonly
*/
firstTangent: {
get: function () {
return this._firstTangent;
},
},
/**
* The tangent at the last control point.
*
* @memberof CatmullRomSpline.prototype
*
* @type {Cartesian3}
* @readonly
*/
lastTangent: {
get: function () {
return this._lastTangent;
},
},
});
/**
* @private
*/
CatmullRomSpline.catmullRomCoefficientMatrix = new Matrix4(
-0.5,
1.0,
-0.5,
0.0,
1.5,
-2.5,
0.0,
1.0,
-1.5,
2.0,
0.5,
0.0,
0.5,
-0.5,
0.0,
0.0,
);
/**
* Finds an index <code>i</code> in <code>times</code> such that the parameter
* <code>time</code> is in the interval <code>[times[i], times[i + 1]]</code>.
* @function
*
* @param {number} time The time.
* @returns {number} The index for the element at the start of the interval.
*
* @exception {DeveloperError} time must be in the range <code>[t<sub>0</sub>, t<sub>n</sub>]</code>, where <code>t<sub>0</sub></code>
* is the first element in the array <code>times</code> and <code>t<sub>n</sub></code> is the last element
* in the array <code>times</code>.
*/
CatmullRomSpline.prototype.findTimeInterval = Spline.prototype.findTimeInterval;
/**
* Wraps the given time to the period covered by the spline.
* @function
*
* @param {number} time The time.
* @return {number} The time, wrapped around to the updated animation.
*/
CatmullRomSpline.prototype.wrapTime = Spline.prototype.wrapTime;
/**
* Clamps the given time to the period covered by the spline.
* @function
*
* @param {number} time The time.
* @return {number} The time, clamped to the animation period.
*/
CatmullRomSpline.prototype.clampTime = Spline.prototype.clampTime;
/**
* Evaluates the curve at a given time.
*
* @param {number} time The time at which to evaluate the curve.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new instance of the point on the curve at the given time.
*
* @exception {DeveloperError} time must be in the range <code>[t<sub>0</sub>, t<sub>n</sub>]</code>, where <code>t<sub>0</sub></code>
* is the first element in the array <code>times</code> and <code>t<sub>n</sub></code> is the last element
* in the array <code>times</code>.
*/
CatmullRomSpline.prototype.evaluate = function (time, result) {
return this._evaluateFunction(time, result);
};
export default CatmullRomSpline;
|