import {cartesian} from "../cartesian.js"; import {abs, asin, atan2, cos, epsilon, radians, sqrt} from "../math.js"; import {transformer} from "../transform.js"; var maxDepth = 16, // maximum depth of subdivision cosMinDistance = cos(30 * radians); // cos(minimum angular distance) export default function(project, delta2) { return +delta2 ? resample(project, delta2) : resampleNone(project); } function resampleNone(project) { return transformer({ point: function(x, y) { x = project(x, y); this.stream.point(x[0], x[1]); } }); } function resample(project, delta2) { function resampleLineTo(x0, y0, lambda0, a0, b0, c0, x1, y1, lambda1, a1, b1, c1, depth, stream) { var dx = x1 - x0, dy = y1 - y0, d2 = dx * dx + dy * dy; if (d2 > 4 * delta2 && depth--) { var a = a0 + a1, b = b0 + b1, c = c0 + c1, m = sqrt(a * a + b * b + c * c), phi2 = asin(c /= m), lambda2 = abs(abs(c) - 1) < epsilon || abs(lambda0 - lambda1) < epsilon ? (lambda0 + lambda1) / 2 : atan2(b, a), p = project(lambda2, phi2), x2 = p[0], y2 = p[1], dx2 = x2 - x0, dy2 = y2 - y0, dz = dy * dx2 - dx * dy2; if (dz * dz / d2 > delta2 // perpendicular projected distance || abs((dx * dx2 + dy * dy2) / d2 - 0.5) > 0.3 // midpoint close to an end || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) { // angular distance resampleLineTo(x0, y0, lambda0, a0, b0, c0, x2, y2, lambda2, a /= m, b /= m, c, depth, stream); stream.point(x2, y2); resampleLineTo(x2, y2, lambda2, a, b, c, x1, y1, lambda1, a1, b1, c1, depth, stream); } } } return function(stream) { var lambda00, x00, y00, a00, b00, c00, // first point lambda0, x0, y0, a0, b0, c0; // previous point var resampleStream = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { stream.polygonStart(); resampleStream.lineStart = ringStart; }, polygonEnd: function() { stream.polygonEnd(); resampleStream.lineStart = lineStart; } }; function point(x, y) { x = project(x, y); stream.point(x[0], x[1]); } function lineStart() { x0 = NaN; resampleStream.point = linePoint; stream.lineStart(); } function linePoint(lambda, phi) { var c = cartesian([lambda, phi]), p = project(lambda, phi); resampleLineTo(x0, y0, lambda0, a0, b0, c0, x0 = p[0], y0 = p[1], lambda0 = lambda, a0 = c[0], b0 = c[1], c0 = c[2], maxDepth, stream); stream.point(x0, y0); } function lineEnd() { resampleStream.point = point; stream.lineEnd(); } function ringStart() { lineStart(); resampleStream.point = ringPoint; resampleStream.lineEnd = ringEnd; } function ringPoint(lambda, phi) { linePoint(lambda00 = lambda, phi), x00 = x0, y00 = y0, a00 = a0, b00 = b0, c00 = c0; resampleStream.point = linePoint; } function ringEnd() { resampleLineTo(x0, y0, lambda0, a0, b0, c0, x00, y00, lambda00, a00, b00, c00, maxDepth, stream); resampleStream.lineEnd = lineEnd; lineEnd(); } return resampleStream; }; }