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 | 6075x 6074x 1x 6073x 6072x 6072x 1x 8543x 8542x 8541x 1x 8540x 8540x 5302x 3238x 3238x 3238x 1x 1x 229084x 229083x 229083x 229083x 1x 229082x 6x 229076x 229076x 229076x 1x 939081x 939080x 939079x 1x 1x 40x 39x 38x 4x 38x 38x 38x 1x 1x 1x 1x 481x 480x 479x 479x 479x 479x 479x 479x 479x 479x 1x 57x 56x 53x 3x 3x 3x 1x 21x 20x 19x 1x 1x 1x | import Cartesian3 from "./Cartesian3.js";
import Cartesian4 from "./Cartesian4.js";
import Check from "./Check.js";
import defined from "./defined.js";
import DeveloperError from "./DeveloperError.js";
import CesiumMath from "./Math.js";
import Matrix4 from "./Matrix4.js";
/**
* A plane in Hessian Normal Form defined by
* <pre>
* ax + by + cz + d = 0
* </pre>
* where (a, b, c) is the plane's <code>normal</code>, d is the signed
* <code>distance</code> to the plane, and (x, y, z) is any point on
* the plane.
*
* @alias Plane
* @constructor
*
* @param {Cartesian3} normal The plane's normal (normalized).
* @param {number} distance The shortest distance from the origin to the plane. The sign of
* <code>distance</code> determines which side of the plane the origin
* is on. If <code>distance</code> is positive, the origin is in the half-space
* in the direction of the normal; if negative, the origin is in the half-space
* opposite to the normal; if zero, the plane passes through the origin.
*
* @example
* // The plane x=0
* const plane = new Cesium.Plane(Cesium.Cartesian3.UNIT_X, 0.0);
*
* @exception {DeveloperError} Normal must be normalized
*/
function Plane(normal, distance) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("normal", normal);
if (
!CesiumMath.equalsEpsilon(
Cartesian3.magnitude(normal),
1.0,
CesiumMath.EPSILON6,
)
) {
throw new DeveloperError("normal must be normalized.");
}
Check.typeOf.number("distance", distance);
//>>includeEnd('debug');
/**
* The plane's normal.
*
* @type {Cartesian3}
*/
this.normal = Cartesian3.clone(normal);
/**
* The shortest distance from the origin to the plane. The sign of
* <code>distance</code> determines which side of the plane the origin
* is on. If <code>distance</code> is positive, the origin is in the half-space
* in the direction of the normal; if negative, the origin is in the half-space
* opposite to the normal; if zero, the plane passes through the origin.
*
* @type {number}
*/
this.distance = distance;
}
/**
* Creates a plane from a normal and a point on the plane.
*
* @param {Cartesian3} point The point on the plane.
* @param {Cartesian3} normal The plane's normal (normalized).
* @param {Plane} [result] The object onto which to store the result.
* @returns {Plane} A new plane instance or the modified result parameter.
*
* @example
* const point = Cesium.Cartesian3.fromDegrees(-72.0, 40.0);
* const normal = ellipsoid.geodeticSurfaceNormal(point);
* const tangentPlane = Cesium.Plane.fromPointNormal(point, normal);
*
* @exception {DeveloperError} Normal must be normalized
*/
Plane.fromPointNormal = function (point, normal, result) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("point", point);
Check.typeOf.object("normal", normal);
if (
!CesiumMath.equalsEpsilon(
Cartesian3.magnitude(normal),
1.0,
CesiumMath.EPSILON6,
)
) {
throw new DeveloperError("normal must be normalized.");
}
//>>includeEnd('debug');
const distance = -Cartesian3.dot(normal, point);
if (!defined(result)) {
return new Plane(normal, distance);
}
Cartesian3.clone(normal, result.normal);
result.distance = distance;
return result;
};
const scratchNormal = new Cartesian3();
/**
* Creates a plane from the general equation
*
* @param {Cartesian4} coefficients The plane's normal (normalized).
* @param {Plane} [result] The object onto which to store the result.
* @returns {Plane} A new plane instance or the modified result parameter.
*
* @exception {DeveloperError} Normal must be normalized
*/
Plane.fromCartesian4 = function (coefficients, result) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("coefficients", coefficients);
//>>includeEnd('debug');
const normal = Cartesian3.fromCartesian4(coefficients, scratchNormal);
const distance = coefficients.w;
//>>includeStart('debug', pragmas.debug);
if (
!CesiumMath.equalsEpsilon(
Cartesian3.magnitude(normal),
1.0,
CesiumMath.EPSILON6,
)
) {
throw new DeveloperError("normal must be normalized.");
}
//>>includeEnd('debug');
if (!defined(result)) {
return new Plane(normal, distance);
}
Cartesian3.clone(normal, result.normal);
result.distance = distance;
return result;
};
/**
* Computes the signed shortest distance of a point to a plane.
* The sign of the distance determines which side of the plane the point
* is on. If the distance is positive, the point is in the half-space
* in the direction of the normal; if negative, the point is in the half-space
* opposite to the normal; if zero, the plane passes through the point.
*
* @param {Plane} plane The plane.
* @param {Cartesian3} point The point.
* @returns {number} The signed shortest distance of the point to the plane.
*/
Plane.getPointDistance = function (plane, point) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("plane", plane);
Check.typeOf.object("point", point);
//>>includeEnd('debug');
return Cartesian3.dot(plane.normal, point) + plane.distance;
};
const scratchCartesian = new Cartesian3();
/**
* Projects a point onto the plane.
* @param {Plane} plane The plane to project the point onto
* @param {Cartesian3} point The point to project onto the plane
* @param {Cartesian3} [result] The result point. If undefined, a new Cartesian3 will be created.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
*/
Plane.projectPointOntoPlane = function (plane, point, result) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("plane", plane);
Check.typeOf.object("point", point);
//>>includeEnd('debug');
if (!defined(result)) {
result = new Cartesian3();
}
// projectedPoint = point - (normal.point + scale) * normal
const pointDistance = Plane.getPointDistance(plane, point);
const scaledNormal = Cartesian3.multiplyByScalar(
plane.normal,
pointDistance,
scratchCartesian,
);
return Cartesian3.subtract(point, scaledNormal, result);
};
const scratchInverseTranspose = new Matrix4();
const scratchPlaneCartesian4 = new Cartesian4();
const scratchTransformNormal = new Cartesian3();
/**
* Transforms the plane by the given transformation matrix.
*
* @param {Plane} plane The plane.
* @param {Matrix4} transform The transformation matrix.
* @param {Plane} [result] The object into which to store the result.
* @returns {Plane} The plane transformed by the given transformation matrix.
*/
Plane.transform = function (plane, transform, result) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("plane", plane);
Check.typeOf.object("transform", transform);
//>>includeEnd('debug');
const normal = plane.normal;
const distance = plane.distance;
const inverseTranspose = Matrix4.inverseTranspose(
transform,
scratchInverseTranspose,
);
let planeAsCartesian4 = Cartesian4.fromElements(
normal.x,
normal.y,
normal.z,
distance,
scratchPlaneCartesian4,
);
planeAsCartesian4 = Matrix4.multiplyByVector(
inverseTranspose,
planeAsCartesian4,
planeAsCartesian4,
);
// Convert the transformed plane to Hessian Normal Form
const transformedNormal = Cartesian3.fromCartesian4(
planeAsCartesian4,
scratchTransformNormal,
);
planeAsCartesian4 = Cartesian4.divideByScalar(
planeAsCartesian4,
Cartesian3.magnitude(transformedNormal),
planeAsCartesian4,
);
return Plane.fromCartesian4(planeAsCartesian4, result);
};
/**
* Duplicates a Plane instance.
*
* @param {Plane} plane The plane to duplicate.
* @param {Plane} [result] The object onto which to store the result.
* @returns {Plane} The modified result parameter or a new Plane instance if one was not provided.
*/
Plane.clone = function (plane, result) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("plane", plane);
//>>includeEnd('debug');
if (!defined(result)) {
return new Plane(plane.normal, plane.distance);
}
Cartesian3.clone(plane.normal, result.normal);
result.distance = plane.distance;
return result;
};
/**
* Compares the provided Planes by normal and distance and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Plane} left The first plane.
* @param {Plane} right The second plane.
* @returns {boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
*/
Plane.equals = function (left, right) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("left", left);
Check.typeOf.object("right", right);
//>>includeEnd('debug');
return (
left.distance === right.distance &&
Cartesian3.equals(left.normal, right.normal)
);
};
/**
* A constant initialized to the XY plane passing through the origin, with normal in positive Z.
*
* @type {Plane}
* @constant
*/
Plane.ORIGIN_XY_PLANE = Object.freeze(new Plane(Cartesian3.UNIT_Z, 0.0));
/**
* A constant initialized to the YZ plane passing through the origin, with normal in positive X.
*
* @type {Plane}
* @constant
*/
Plane.ORIGIN_YZ_PLANE = Object.freeze(new Plane(Cartesian3.UNIT_X, 0.0));
/**
* A constant initialized to the ZX plane passing through the origin, with normal in positive Y.
*
* @type {Plane}
* @constant
*/
Plane.ORIGIN_ZX_PLANE = Object.freeze(new Plane(Cartesian3.UNIT_Y, 0.0));
export default Plane;
|