"use strict"; var _const = require("../const.js"); class BezierUtils { /** * Calculate length of bezier curve. * Analytical solution is impossible, since it involves an integral that does not integrate in general. * Therefore numerical solution is used. * @private * @param fromX - Starting point x * @param fromY - Starting point y * @param cpX - Control point x * @param cpY - Control point y * @param cpX2 - Second Control point x * @param cpY2 - Second Control point y * @param toX - Destination point x * @param toY - Destination point y * @returns - Length of bezier curve */ static curveLength(fromX, fromY, cpX, cpY, cpX2, cpY2, toX, toY) { let result = 0, t = 0, t2 = 0, t3 = 0, nt = 0, nt2 = 0, nt3 = 0, x = 0, y = 0, dx = 0, dy = 0, prevX = fromX, prevY = fromY; for (let i = 1; i <= 10; ++i) t = i / 10, t2 = t * t, t3 = t2 * t, nt = 1 - t, nt2 = nt * nt, nt3 = nt2 * nt, x = nt3 * fromX + 3 * nt2 * t * cpX + 3 * nt * t2 * cpX2 + t3 * toX, y = nt3 * fromY + 3 * nt2 * t * cpY + 3 * nt * t2 * cpY2 + t3 * toY, dx = prevX - x, dy = prevY - y, prevX = x, prevY = y, result += Math.sqrt(dx * dx + dy * dy); return result; } /** * Calculate the points for a bezier curve and then draws it. * * Ignored from docs since it is not directly exposed. * @ignore * @param cpX - Control point x * @param cpY - Control point y * @param cpX2 - Second Control point x * @param cpY2 - Second Control point y * @param toX - Destination point x * @param toY - Destination point y * @param points - Path array to push points into */ static curveTo(cpX, cpY, cpX2, cpY2, toX, toY, points) { const fromX = points[points.length - 2], fromY = points[points.length - 1]; points.length -= 2; const n = _const.curves._segmentsCount( BezierUtils.curveLength(fromX, fromY, cpX, cpY, cpX2, cpY2, toX, toY) ); let dt = 0, dt2 = 0, dt3 = 0, t2 = 0, t3 = 0; points.push(fromX, fromY); for (let i = 1, j = 0; i <= n; ++i) j = i / n, dt = 1 - j, dt2 = dt * dt, dt3 = dt2 * dt, t2 = j * j, t3 = t2 * j, points.push( dt3 * fromX + 3 * dt2 * j * cpX + 3 * dt * t2 * cpX2 + t3 * toX, dt3 * fromY + 3 * dt2 * j * cpY + 3 * dt * t2 * cpY2 + t3 * toY ); } } exports.BezierUtils = BezierUtils; //# sourceMappingURL=BezierUtils.js.map