cornerstone-math
Version:
Math and computation geometry functionality for cornerstone
1,492 lines (1,345 loc) • 92.8 kB
JavaScript
/*! cornerstone-math - 0.1.10 - 2022-06-09 | (c) 2017 Chris Hafey | https://github.com/cornerstonejs/cornerstoneMath */
(function webpackUniversalModuleDefinition(root, factory) {
if(typeof exports === 'object' && typeof module === 'object')
module.exports = factory();
else if(typeof define === 'function' && define.amd)
define("cornerstone-math", [], factory);
else if(typeof exports === 'object')
exports["cornerstone-math"] = factory();
else
root["cornerstoneMath"] = factory();
})(window, function() {
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/******/ case "prepare":
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/******/ default:
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/******/ },
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/******/ //inherit from previous dispose call
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/******/ // while downloading
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/******/ var hotChunksLoading = 0;
/******/ var hotWaitingFilesMap = {};
/******/ var hotRequestedFilesMap = {};
/******/ var hotAvailableFilesMap = {};
/******/ var hotDeferred;
/******/
/******/ // The update info
/******/ var hotUpdate, hotUpdateNewHash, hotQueuedInvalidatedModules;
/******/
/******/ function toModuleId(id) {
/******/ var isNumber = +id + "" === id;
/******/ return isNumber ? +id : id;
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/******/ hotSetStatus("check");
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/******/ hotUpdateNewHash = update.h;
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/******/ if (--hotWaitingFiles === 0 && hotChunksLoading === 0) {
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/******/ if (!deferred) return;
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/******/ // Wrap deferred object in Promise to mark it as a well-handled Promise to
/******/ // avoid triggering uncaught exception warning in Chrome.
/******/ // See https://bugs.chromium.org/p/chromium/issues/detail?id=465666
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/******/ if (parent.hot._declinedDependencies[moduleId]) {
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/******/ if (parent.hot._acceptedDependencies[moduleId]) {
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/******/ delete outdatedDependencies[parentId];
/******/ outdatedModules.push(parentId);
/******/ queue.push({
/******/ chain: chain.concat([parentId]),
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/******/ }
/******/
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/******/ outdatedDependencies: outdatedDependencies
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/******/ // at begin all updates modules are outdated
/******/ // the "outdated" status can propagate to parents if they don't accept the children
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/******/ var appliedUpdate = {};
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/******/ case "accepted":
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/******/ break;
/******/ case "disposed":
/******/ if (options.onDisposed) options.onDisposed(result);
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/******/ break;
/******/ default:
/******/ throw new Error("Unexception type " + result.type);
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/******/ if (doApply) {
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/******/ if (!outdatedDependencies[moduleId])
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/******/ addAllToSet(
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/******/ }
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/******/ }
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/******/ }
/******/ }
/******/
/******/ // Store self accepted outdated modules to require them later by the module system
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/******/ if (
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/******/ // removed self-accepted modules should not be required
/******/ appliedUpdate[moduleId] !== warnUnexpectedRequire &&
/******/ // when called invalidate self-accepting is not possible
/******/ !installedModules[moduleId].hot._selfInvalidated
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/******/ parents: installedModules[moduleId].parents.slice(),
/******/ errorHandler: installedModules[moduleId].hot._selfAccepted
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/******/ }
/******/ }
/******/
/******/ // Now in "dispose" phase
/******/ hotSetStatus("dispose");
/******/ Object.keys(hotAvailableFilesMap).forEach(function(chunkId) {
/******/ if (hotAvailableFilesMap[chunkId] === false) {
/******/ hotDisposeChunk(chunkId);
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/******/ });
/******/
/******/ var idx;
/******/ var queue = outdatedModules.slice();
/******/ while (queue.length > 0) {
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/******/ if (!module) continue;
/******/
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/******/
/******/ // Call dispose handlers
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/******/ for (j = 0; j < disposeHandlers.length; j++) {
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/******/ cb(data);
/******/ }
/******/ hotCurrentModuleData[moduleId] = data;
/******/
/******/ // disable module (this disables requires from this module)
/******/ module.hot.active = false;
/******/
/******/ // remove module from cache
/******/ delete installedModules[moduleId];
/******/
/******/ // when disposing there is no need to call dispose handler
/******/ delete outdatedDependencies[moduleId];
/******/
/******/ // remove "parents" references from all children
/******/ for (j = 0; j < module.children.length; j++) {
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/******/ if (idx >= 0) {
/******/ child.parents.splice(idx, 1);
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/******/ }
/******/ }
/******/
/******/ // remove outdated dependency from module children
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/******/ if (
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/******/ module = installedModules[moduleId];
/******/ if (module) {
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/******/ for (j = 0; j < moduleOutdatedDependencies.length; j++) {
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/******/ if (idx >= 0) module.children.splice(idx, 1);
/******/ }
/******/ }
/******/ }
/******/ }
/******/
/******/ // Now in "apply" phase
/******/ hotSetStatus("apply");
/******/
/******/ if (hotUpdateNewHash !== undefined) {
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/******/ hotUpdateNewHash = undefined;
/******/ }
/******/ hotUpdate = undefined;
/******/
/******/ // insert new code
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/******/
/******/ // call accept handlers
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/******/ for (moduleId in outdatedDependencies) {
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/******/ module = installedModules[moduleId];
/******/ if (module) {
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/******/ for (i = 0; i < moduleOutdatedDependencies.length; i++) {
/******/ dependency = moduleOutdatedDependencies[i];
/******/ cb = module.hot._acceptedDependencies[dependency];
/******/ if (cb) {
/******/ if (callbacks.indexOf(cb) !== -1) continue;
/******/ callbacks.push(cb);
/******/ }
/******/ }
/******/ for (i = 0; i < callbacks.length; i++) {
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/******/ try {
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/******/ } catch (err) {
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/******/ type: "accept-errored",
/******/ moduleId: moduleId,
/******/ dependencyId: moduleOutdatedDependencies[i],
/******/ error: err
/******/ });
/******/ }
/******/ if (!options.ignoreErrored) {
/******/ if (!error) error = err;
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/***/ "./Line3.js":
/*!******************!*\
!*** ./Line3.js ***!
\******************/
/*! no static exports found */
/***/ (function(module, exports, __webpack_require__) {
"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
var _createClass = function () { function defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } } return function (Constructor, protoProps, staticProps) { if (protoProps) defineProperties(Constructor.prototype, protoProps); if (staticProps) defineProperties(Constructor, staticProps); return Constructor; }; }();
var _vector = __webpack_require__(/*! ./vector3.js */ "./vector3.js");
var _vector2 = _interopRequireDefault(_vector);
var _math = __webpack_require__(/*! ./math.js */ "./math.js");
function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { default: obj }; }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
// Copied from THREE.JS
/**
* @author bhouston / http://exocortex.com
*/
var Line3 = function () {
function Line3(start, end) {
_classCallCheck(this, Line3);
this.start = start !== undefined ? start : new _vector2.default();
this.end = end !== undefined ? end : new _vector2.default();
}
_createClass(Line3, [{
key: 'set',
value: function set(start, end) {
this.start.copy(start);
this.end.copy(end);
return this;
}
}, {
key: 'copy',
value: function copy(line) {
this.start.copy(line.start);
this.end.copy(line.end);
return this;
}
}, {
key: 'center',
value: function center(optionalTarget) {
var result = optionalTarget || new _vector2.default();
return result.addVectors(this.start, this.end).multiplyScalar(0.5);
}
}, {
key: 'delta',
value: function delta(optionalTarget) {
var result = optionalTarget || new _vector2.default();
return result.subVectors(this.end, this.start);
}
}, {
key: 'distanceSq',
value: function distanceSq() {
return this.start.distanceToSquared(this.end);
}
}, {
key: 'distance',
value: function distance() {
return this.start.distanceTo(this.end);
}
}, {
key: 'at',
value: function at(t, optionalTarget) {
var result = optionalTarget || new _vector2.default();
return this.delta(result).multiplyScalar(t).add(this.start);
}
}, {
key: 'closestPointToPointParameter',
value: function closestPointToPointParameter(point, clampToLine) {
var startP = new _vector2.default();
var startEnd = new _vector2.default();
startP.subVectors(point, this.start);
startEnd.subVectors(this.end, this.start);
var startEnd2 = startEnd.dot(startEnd);
var startEnd_startP = startEnd.dot(startP);
var t = startEnd_startP / startEnd2;
if (clampToLine) {
t = (0, _math.clamp)(t, 0, 1);
}
return t;
}
}, {
key: 'closestPointToPoint',
value: function closestPointToPoint(point, clampToLine, optionalTarget) {
var t = this.closestPointToPointParameter(point, clampToLine);
var result = optionalTarget || new _vector2.default();
return this.delta(result).multiplyScalar(t).add(this.start);
}
}, {
key: 'applyMatrix4',
value: function applyMatrix4(matrix) {
this.start.applyMatrix4(matrix);
this.end.applyMatrix4(matrix);
return this;
}
}, {
key: 'equals',
value: function equals(line) {
return line.start.equals(this.start) && line.end.equals(this.end);
}
}, {
key: 'clone',
value: function clone() {
return new Line3().copy(this);
}
}, {
key: 'intersectLine',
value: function intersectLine(line) {
// http://stackoverflow.com/questions/2316490/the-algorithm-to-find-the-point-of-intersection-of-two-3d-line-segment/10288710#10288710
// Consider two lines r1 and r2, represented by the following parametric equations:A + vt and B + us, respectively.
// Where A is a point of r1 and v a vector parallel to line.
// And B is a point of r2 and u a vector parallel to line.
// 'this' represents r2 and 'line' represents r1
var da = this.end.clone().sub(this.start); //u
var db = line.end.clone().sub(line.start); //v
var dc = line.start.clone().sub(this.start); // AB
var daCrossDb = da.clone().cross(db);
var dcCrossDb = dc.clone().cross(db);
// Lines are not coplanar, stop here
// Coplanar only if the vectors AB, u, v are linearly dependent, i.e AB . (u × v) = 0
var coplanarResult = dc.dot(daCrossDb);
var normalizedCoplanarResult = coplanarResult / (dc.lengthSq() * daCrossDb.lengthSq());
if (!(0, _math.approximatelyEquals)(normalizedCoplanarResult, 0)) {
return;
}
var s = dcCrossDb.dot(daCrossDb) / daCrossDb.lengthSq();
// Make sure we have an intersection
if (s > 1.0 || isNaN(s)) {
return;
}
var intersection = this.start.clone().add(da.clone().multiplyScalar(s));
var distanceTest = intersection.clone().sub(line.start).lengthSq() + intersection.clone().sub(line.end).lengthSq();
if (distanceTest <= line.distanceSq()) {
return intersection;
}
return;
}
}]);
return Line3;
}();
exports.default = Line3;
/***/ }),
/***/ "./index.js":
/*!******************!*\
!*** ./index.js ***!
\******************/
/*! no static exports found */
/***/ (function(module, exports, __webpack_require__) {
"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.Vector3 = exports.rect = exports.quaternion = exports.point = exports.Plane = exports.Matrix4 = exports.sign = exports.radToDeg = exports.degToRad = exports.clamp = exports.lineSegment = exports.Line3 = undefined;
var _Line = __webpack_require__(/*! ./Line3.js */ "./Line3.js");
var _Line2 = _interopRequireDefault(_Line);
var _lineSegment = __webpack_require__(/*! ./lineSegment.js */ "./lineSegment.js");
var _lineSegment2 = _interopRequireDefault(_lineSegment);
var _math = __webpack_require__(/*! ./math.js */ "./math.js");
var _matrix = __webpack_require__(/*! ./matrix4.js */ "./matrix4.js");
var _matrix2 = _interopRequireDefault(_matrix);
var _plane = __webpack_require__(/*! ./plane.js */ "./plane.js");
var _plane2 = _interopRequireDefault(_plane);
var _point = __webpack_require__(/*! ./point.js */ "./point.js");
var _point2 = _interopRequireDefault(_point);
var _quaternion = __webpack_require__(/*! ./quaternion.js */ "./quaternion.js");
var _quaternion2 = _interopRequireDefault(_quaternion);
var _rect = __webpack_require__(/*! ./rect.js */ "./rect.js");
var _rect2 = _interopRequireDefault(_rect);
var _vector = __webpack_require__(/*! ./vector3.js */ "./vector3.js");
var _vector2 = _interopRequireDefault(_vector);
function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { default: obj }; }
var cornerstoneMath = {
Line3: _Line2.default,
lineSegment: _lineSegment2.default,
clamp: _math.clamp,
degToRad: _math.degToRad,
radToDeg: _math.radToDeg,
sign: _math.sign,
Matrix4: _matrix2.default,
Plane: _plane2.default,
point: _point2.default,
quaternion: _quaternion2.default,
rect: _rect2.default,
Vector3: _vector2.default
};
exports.Line3 = _Line2.default;
exports.lineSegment = _lineSegment2.default;
exports.clamp = _math.clamp;
exports.degToRad = _math.degToRad;
exports.radToDeg = _math.radToDeg;
exports.sign = _math.sign;
exports.Matrix4 = _matrix2.default;
exports.Plane = _plane2.default;
exports.point = _point2.default;
exports.quaternion = _quaternion2.default;
exports.rect = _rect2.default;
exports.Vector3 = _vector2.default;
exports.default = cornerstoneMath;
/***/ }),
/***/ "./lineSegment.js":
/*!************************!*\
!*** ./lineSegment.js ***!
\************************/
/*! no static exports found */
/***/ (function(module, exports, __webpack_require__) {
"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
var _math = __webpack_require__(/*! ./math.js */ "./math.js");
// Based on http://stackoverflow.com/questions/849211/shortest-distance-between-a-point-and-a-line-segment
function sqr(x) {
return x * x;
}
function dist2(v, w) {
return sqr(v.x - w.x) + sqr(v.y - w.y);
}
function distanceToPointSquared(lineSegment, point) {
var l2 = dist2(lineSegment.start, lineSegment.end);
if (l2 === 0) {
return dist2(point, lineSegment.start);
}
var t = ((point.x - lineSegment.start.x) * (lineSegment.end.x - lineSegment.start.x) + (point.y - lineSegment.start.y) * (lineSegment.end.y - lineSegment.start.y)) / l2;
if (t < 0) {
return dist2(point, lineSegment.start);
}
if (t > 1) {
return dist2(point, lineSegment.end);
}
var pt = {
x: lineSegment.start.x + t * (lineSegment.end.x - lineSegment.start.x),
y: lineSegment.start.y + t * (lineSegment.end.y - lineSegment.start.y)
};
return dist2(point, pt);
}
function distanceToPoint(lineSegment, point) {
return Math.sqrt(distanceToPointSquared(lineSegment, point));
}
// Returns intersection points of two lines
function intersectLine(lineSegment1, lineSegment2) {
var intersectionPoint = {};
var x1 = lineSegment1.start.x,
y1 = lineSegment1.start.y,
x2 = lineSegment1.end.x,
y2 = lineSegment1.end.y,
x3 = lineSegment2.start.x,
y3 = lineSegment2.start.y,
x4 = lineSegment2.end.x,
y4 = lineSegment2.end.y;
// Coefficients of line equations
var a1 = void 0,
a2 = void 0,
b1 = void 0,
b2 = void 0,
c1 = void 0,
c2 = void 0;
// Sign values
var r1 = void 0,
r2 = void 0,
r3 = void 0,
r4 = void 0;
// Intermediate values
var denom = void 0,
num = void 0;
// Compute a1, b1, c1, where line joining points 1 and 2 is "a1 x + b1 y + c1 = 0"
a1 = y2 - y1;
b1 = x1 - x2;
c1 = x2 * y1 - x1 * y2;
// Compute r3 and r4
r3 = a1 * x3 + b1 * y3 + c1;
r4 = a1 * x4 + b1 * y4 + c1;
/* Check signs of r3 and r4. If both point 3 and point 4 lie on
* same side of line 1, the line segments do not intersect.
*/
if (r3 !== 0 && r4 !== 0 && (0, _math.sign)(r3) === (0, _math.sign)(r4)) {
return;
}
// Compute a2, b2, c2
a2 = y4 - y3;
b2 = x3 - x4;
c2 = x4 * y3 - x3 * y4;
// Compute r1 and r2
r1 = a2 * x1 + b2 * y1 + c2;
r2 = a2 * x2 + b2 * y2 + c2;
/* Check signs of r1 and r2. If both point 1 and point 2 lie
* on same side of second line segment, the line segments do
* not intersect.
*/
if (r1 !== 0 && r2 !== 0 && (0, _math.sign)(r1) === (0, _math.sign)(r2)) {
return;
}
/* Line segments intersect: compute intersection point.
*/
denom = a1 * b2 - a2 * b1;
/* The denom/2 is to get rounding instead of truncating. It
* is added or subtracted to the numerator, depending upon the
* sign of the numerator.
*/
num = b1 * c2 - b2 * c1;
var x = parseFloat(num / denom);
num = a2 * c1 - a1 * c2;
var y = parseFloat(num / denom);
intersectionPoint.x = x;
intersectionPoint.y = y;
return intersectionPoint;
}
// Module exports
var lineSegment = {
distanceToPoint: distanceToPoint,
intersectLine: intersectLine
};
exports.default = lineSegment;
/***/ }),
/***/ "./math.js":
/*!*****************!*\
!*** ./math.js ***!
\*****************/
/*! no static exports found */
/***/ (function(module, exports, __webpack_require__) {
"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
var EPSILON = 0.0001;
// Based on THREE.JS
function clamp(x, a, b) {
return x < a ? a : x > b ? b : x;
}
function degToRad(degrees) {
var degreeToRadiansFactor = Math.PI / 180;
return degrees * degreeToRadiansFactor;
}
function radToDeg(radians) {
var radianToDegreesFactor = 180 / Math.PI;
return radians * radianToDegreesFactor;
}
// Returns sign of number
function sign(x) {
return typeof x === 'number' ? x ? x < 0 ? -1 : 1 : x === x ? 0 : NaN : NaN;
}
/**
*
* Compare if two numbers are equal(if they have approximately the same value). to prevent js float precision issue
* Adapted from glmatrix
* @param {number} a
* @param {number} b
* @param {number} epsilon Precision to define proximity
* @return {boolean} check whether or not the arguments have approximately the same value
*
*/
function approximatelyEquals(a, b, epsilon) {
var _epsilon = epsilon || EPSILON;
return Math.abs(a - b) <= _epsilon * Math.max(1.0, Math.abs(a), Math.abs(b));
}
exports.clamp = clamp;
exports.degToRad = degToRad;
exports.approximatelyEquals = approximatelyEquals;
exports.radToDeg = radToDeg;
exports.sign = sign;
/***/ }),
/***/ "./matrix4.js":
/*!********************!*\
!*** ./matrix4.js ***!
\********************/
/*! no static exports found */
/***/ (function(module, exports, __webpack_require__) {
"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
var _createClass = function () { function defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } } return function (Constructor, protoProps, staticProps) { if (protoProps) defineProperties(Constructor.prototype, protoProps); if (staticProps) defineProperties(Constructor, staticProps); return Constructor; }; }();
var _vector = __webpack_require__(/*! ./vector3.js */ "./vector3.js");
var _vector2 = _interopRequireDefault(_vector);
function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { default: obj }; }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
// Based on THREE.JS
var Matrix4 = function () {
function Matrix4(n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44) {
_classCallCheck(this, Matrix4);
this.elements = new Float32Array(16);
// TODO: if n11 is undefined, then just set to identity, otherwise copy all other values into matrix
// We should not support semi specification of Matrix4, it is just weird.
var te = this.elements;
te[0] = n11 !== undefined ? n11 : 1;te[4] = n12 || 0;te[8] = n13 || 0;te[12] = n14 || 0;
te[1] = n21 || 0;te[5] = n22 !== undefined ? n22 : 1;te[9] = n23 || 0;te[13] = n24 || 0;
te[2] = n31 || 0;te[6] = n32 || 0;te[10] = n33 !== undefined ? n33 : 1;te[14] = n34 || 0;
te[3] = n41 || 0;te[7] = n42 || 0;te[11] = n43 || 0;te[15] = n44 !== undefined ? n44 : 1;
}
_createClass(Matrix4, [{
key: 'makeRotationFromQuaternion',
value: function makeRotationFromQuaternion(q) {
var te = this.elements;
var x = q.x,
y = q.y,
z = q.z,
w = q.w;
var x2 = x + x,
y2 = y + y,
z2 = z + z;
var xx = x * x2,
xy = x * y2,
xz = x * z2;
var yy = y * y2,
yz = y * z2,
zz = z * z2;
var wx = w * x2,
wy = w * y2,
wz = w * z2;
te[0] = 1 - (yy + zz);
te[4] = xy - wz;
te[8] = xz + wy;
te[1] = xy + wz;
te[5] = 1 - (xx + zz);
te[9] = yz - wx;
te[2] = xz - wy;
te[6] = yz + wx;
te[10] = 1 - (xx + yy);
// Last column
te[3] = 0;
te[7] = 0;
te[11] = 0;
// Bottom row
te[12] = 0;
te[13] = 0;
te[14] = 0;
te[15] = 1;
return this;
}
}, {
key: 'multiplyMatrices',
value: function multiplyMatrices(a, b) {
var ae = a.elements;
var be = b.elements;
var te = this.elements;
var a11 = ae[0],
a12 = ae[4],
a13 = ae[8],
a14 = ae[12];
var a21 = ae[1],
a22 = ae[5],
a23 = ae[9],
a24 = ae[13];
var a31 = ae[2],
a32 = ae[6],
a33 = ae[10],
a34 = ae[14];
var a41 = ae[3],
a42 = ae[7],
a43 = ae[11],
a44 = ae[15];
var b11 = be[0],
b12 = be[4],
b13 = be[8],
b14 = be[12];
var b21 = be[1],
b22 = be[5],
b23 = be[9],
b24 = be[13];
var b31 = be[2],
b32 = be[6],
b33 = be[10],
b34 = be[14];
var b41 = be[3],
b42 = be[7],
b43 = be[11],
b44 = be[15];
te[0] = a11 * b11 + a12 * b21 + a13 * b31 + a14 * b41;
te[4] = a11 * b12 + a12 * b22 + a13 * b32 + a14 * b42;
te[8] = a11 * b13 + a12 * b23 + a13 * b33 + a14 * b43;
te[12] = a11 * b14 + a12 * b24 + a13 * b34 + a14 * b44;
te[1] = a21 * b11 + a22 * b21 + a23 * b31 + a24 * b41;
te[5] = a21 * b12 + a22 *