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Code Editor : zoom.js
var epsilon2 = 1e-12; function cosh(x) { return ((x = Math.exp(x)) + 1 / x) / 2; } function sinh(x) { return ((x = Math.exp(x)) - 1 / x) / 2; } function tanh(x) { return ((x = Math.exp(2 * x)) - 1) / (x + 1); } export default (function zoomRho(rho, rho2, rho4) { // p0 = [ux0, uy0, w0] // p1 = [ux1, uy1, w1] function zoom(p0, p1) { var ux0 = p0[0], uy0 = p0[1], w0 = p0[2], ux1 = p1[0], uy1 = p1[1], w1 = p1[2], dx = ux1 - ux0, dy = uy1 - uy0, d2 = dx * dx + dy * dy, i, S; // Special case for u0 ≅ u1. if (d2 < epsilon2) { S = Math.log(w1 / w0) / rho; i = function(t) { return [ ux0 + t * dx, uy0 + t * dy, w0 * Math.exp(rho * t * S) ]; } } // General case. else { var d1 = Math.sqrt(d2), b0 = (w1 * w1 - w0 * w0 + rho4 * d2) / (2 * w0 * rho2 * d1), b1 = (w1 * w1 - w0 * w0 - rho4 * d2) / (2 * w1 * rho2 * d1), r0 = Math.log(Math.sqrt(b0 * b0 + 1) - b0), r1 = Math.log(Math.sqrt(b1 * b1 + 1) - b1); S = (r1 - r0) / rho; i = function(t) { var s = t * S, coshr0 = cosh(r0), u = w0 / (rho2 * d1) * (coshr0 * tanh(rho * s + r0) - sinh(r0)); return [ ux0 + u * dx, uy0 + u * dy, w0 * coshr0 / cosh(rho * s + r0) ]; } } i.duration = S * 1000 * rho / Math.SQRT2; return i; } zoom.rho = function(_) { var _1 = Math.max(1e-3, +_), _2 = _1 * _1, _4 = _2 * _2; return zoomRho(_1, _2, _4); }; return zoom; })(Math.SQRT2, 2, 4);
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