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import Constants from 'vtk.js/Sources/Common/DataModel/Line/Constants';
import vtkCell from 'vtk.js/Sources/Common/DataModel/Cell';
import * as vtkMath from 'vtk.js/Sources/Common/Core/Math';
import { quat } from 'gl-matrix';
const { IntersectionState } = Constants;
// ----------------------------------------------------------------------------
// Global methods
// ----------------------------------------------------------------------------
function distanceToLine(x, p1, p2, closestPoint = null) {
const outObj = { t: Number.MIN_VALUE, distance: 0 };
const p21 = [];
let closest;
// Determine appropriate vector
p21[0] = p2[0] - p1[0];
p21[1] = p2[1] - p1[1];
p21[2] = p2[2] - p1[2];
// Get parametric location
const num =
p21[0] * (x[0] - p1[0]) + p21[1] * (x[1] - p1[1]) + p21[2] * (x[2] - p1[2]);
const denom = vtkMath.dot(p21, p21);
// trying to avoid an expensive fabs
let tolerance = 1e-5 * num;
if (denom !== 0.0) {
outObj.t = num / denom;
}
if (tolerance < 0.0) {
tolerance = -tolerance;
}
Iif (-tolerance < denom && denom < tolerance) {
closest = p1;
} else if (denom <= 0.0 || outObj.t < 0.0) {
// If parametric coordinate is within 0<=p<=1, then the point is closest to
// the line. Otherwise, it's closest to a point at the end of the line.
closest = p1;
} else if (outObj.t > 1.0) {
closest = p2;
} else {
closest = p21;
p21[0] = p1[0] + outObj.t * p21[0];
p21[1] = p1[1] + outObj.t * p21[1];
p21[2] = p1[2] + outObj.t * p21[2];
}
if (closestPoint) {
closestPoint[0] = closest[0];
closestPoint[1] = closest[1];
closestPoint[2] = closest[2];
}
outObj.distance = vtkMath.distance2BetweenPoints(closest, x);
return outObj;
}
function intersection(a1, a2, b1, b2, u, v) {
const a21 = [];
const b21 = [];
const b1a1 = [];
u[0] = 0.0;
v[0] = 0.0;
// Determine line vectors.
vtkMath.subtract(a2, a1, a21);
vtkMath.subtract(b2, b1, b21);
vtkMath.subtract(b1, a1, b1a1);
// Compute the system (least squares) matrix.
const A = [
vtkMath.dot(a21, a21),
-vtkMath.dot(a21, b21),
-vtkMath.dot(a21, b21),
vtkMath.dot(b21, b21),
];
// Compute the least squares system constant term.
const c = [];
c[0] = vtkMath.dot(a21, b1a1);
c[1] = -vtkMath.dot(b21, b1a1);
// Solve the system of equations
if (vtkMath.solveLinearSystem(A, c, 2) === 0) {
// The lines are colinear. Therefore, one of the four endpoints is the
// point of closest approach
let minDist = Number.MAX_VALUE;
const p = [a1, a2, b1, b2];
const l1 = [b1, b1, a1, a1];
const l2 = [b2, b2, a2, a2];
const uv1 = [v[0], v[0], u[0], u[0]];
const uv2 = [u[0], u[0], v[0], v[0]];
let obj;
for (let i = 0; i < 4; i++) {
obj = distanceToLine(p[i], l1[i], l2[i]);
if (obj.distance < minDist) {
minDist = obj.distance;
uv1[i] = obj.t;
uv2[i] = i % 2;
}
}
return IntersectionState.ON_LINE;
}
u[0] = c[0];
v[0] = c[1];
// Check parametric coordinates for intersection.
if (u[0] >= 0.0 && u[0] <= 1.0 && v[0] >= 0.0 && v[0] <= 1.0) {
return IntersectionState.YES_INTERSECTION;
}
return IntersectionState.NO_INTERSECTION;
}
// ----------------------------------------------------------------------------
// Static API
// ----------------------------------------------------------------------------
export const STATIC = {
distanceToLine,
intersection,
};
// ----------------------------------------------------------------------------
// vtkLine methods
// ----------------------------------------------------------------------------
function vtkLine(publicAPI, model) {
// Set our className
model.classHierarchy.push('vtkLine');
function isBetweenPoints(t) {
return t >= 0.0 && t <= 1.0;
}
publicAPI.getCellDimension = () => 1;
publicAPI.intersectWithLine = (p1, p2, tol, x, pcoords) => {
const outObj = {
intersect: 0,
t: Number.MAX_VALUE,
subId: 0,
betweenPoints: null,
};
pcoords[1] = 0.0;
pcoords[2] = 0.0;
const projXYZ = [];
const a1 = [];
const a2 = [];
model.points.getPoint(0, a1);
model.points.getPoint(1, a2);
const u = [];
const v = [];
const intersect = intersection(p1, p2, a1, a2, u, v);
outObj.t = u[0];
outObj.betweenPoints = isBetweenPoints(outObj.t);
pcoords[0] = v[0];
if (intersect === IntersectionState.YES_INTERSECTION) {
// make sure we are within tolerance
for (let i = 0; i < 3; i++) {
x[i] = a1[i] + pcoords[0] * (a2[i] - a1[i]);
projXYZ[i] = p1[i] + outObj.t * (p2[i] - p1[i]);
}
if (vtkMath.distance2BetweenPoints(x, projXYZ) <= tol * tol) {
outObj.intersect = 1;
return outObj;
}
} else {
let outDistance;
// check to see if it lies within tolerance
// one of the parametric coords must be outside 0-1
Iif (outObj.t < 0.0) {
outDistance = distanceToLine(p1, a1, a2, x);
if (outDistance.distance <= tol * tol) {
outObj.t = 0.0;
outObj.intersect = 1;
outObj.betweenPoints = true; // Intersection is near p1
return outObj;
}
return outObj;
}
if (outObj.t > 1.0) {
outDistance = distanceToLine(p2, a1, a2, x);
Iif (outDistance.distance <= tol * tol) {
outObj.t = 1.0;
outObj.intersect = 1;
outObj.betweenPoints = true; // Intersection is near p2
return outObj;
}
return outObj;
}
Iif (pcoords[0] < 0.0) {
pcoords[0] = 0.0;
outDistance = distanceToLine(a1, p1, p2, x);
outObj.t = outDistance.t;
if (outDistance.distance <= tol * tol) {
outObj.intersect = 1;
return outObj;
}
return outObj;
}
Iif (pcoords[0] > 1.0) {
pcoords[0] = 1.0;
outDistance = distanceToLine(a2, p1, p2, x);
outObj.t = outDistance.t;
if (outDistance.distance <= tol * tol) {
outObj.intersect = 1;
return outObj;
}
return outObj;
}
}
return outObj;
};
publicAPI.evaluateLocation = (pcoords, x, weights) => {
const a1 = [];
const a2 = [];
model.points.getPoint(0, a1);
model.points.getPoint(1, a2);
for (let i = 0; i < 3; i++) {
x[i] = a1[i] + pcoords[0] * (a2[i] - a1[i]);
}
weights[0] = 1.0 - pcoords[0];
weights[1] = pcoords[0];
};
publicAPI.evaluateOrientation = (pcoords, q, weights) => {
if (model.orientations) {
quat.slerp(q, model.orientations[0], model.orientations[1], pcoords[0]);
weights[0] = 1.0 - pcoords[0];
weights[1] = pcoords[0];
return true;
}
return false;
};
}
// ----------------------------------------------------------------------------
// Object factory
// ----------------------------------------------------------------------------
const DEFAULT_VALUES = {
orientations: null, // an array of two quat or null
};
// ----------------------------------------------------------------------------
export function extend(publicAPI, model, initialValues = {}) {
Object.assign(model, DEFAULT_VALUES, initialValues);
vtkCell.extend(publicAPI, model, initialValues);
macro.setGet(publicAPI, model, ['orientations']);
vtkLine(publicAPI, model);
}
// ----------------------------------------------------------------------------
export const newInstance = macro.newInstance(extend, 'vtkLine');
// ----------------------------------------------------------------------------
export default { newInstance, extend, ...STATIC, ...Constants };
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