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| 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); | |
| } | |
| const interpolateZoom = function zoomRho(rho, rho2, rho4) { | |
| 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; | |
| 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) | |
| ]; | |
| }; | |
| } 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 * 1e3 * 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); | |
| export { | |
| interpolateZoom as i | |
| }; | |