diff --git a/CHANGELOG.md b/CHANGELOG.md index 6e2069d2..2ddcae98 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -1,3 +1,7 @@ +## 2.21.0 + +* Improve label placement to avoid placing labels in polygon holes + ## 2.20.0 * Round coordinates instead of truncating them, for better precision when overzooming diff --git a/geometry.cpp b/geometry.cpp index 6e33da05..873fda08 100644 --- a/geometry.cpp +++ b/geometry.cpp @@ -21,6 +21,7 @@ #include "main.hpp" #include "options.hpp" #include "errors.hpp" +#include "projection.hpp" static int clip(double *x0, double *y0, double *x1, double *y1, double xmin, double ymin, double xmax, double ymax); @@ -1481,25 +1482,117 @@ draw centerOfMass(const drawvec &dv, size_t start, size_t end, draw centre) { } } -double label_goodness(const drawvec &dv, size_t start, size_t count, long long x, long long y) { - if (!pnpoly(dv, start, count, x, y)) { +double label_goodness(const drawvec &dv, long long x, long long y) { + int nesting = 0; + + for (size_t i = 0; i < dv.size(); i++) { + if (dv[i].op == VT_MOVETO) { + size_t j; + for (j = i + 1; j < dv.size(); j++) { + if (dv[j].op != VT_LINETO) { + break; + } + } + + // if it's inside the ring, and it's an outer ring, + // we are nested more; if it's an inner ring, we are + // nested less. + if (pnpoly(dv, i, j - i, x, y)) { + if (get_area(dv, i, j) >= 0) { + nesting++; + } else { + nesting--; + } + } + + i = j - 1; + } + } + + if (nesting < 1) { return 0; // outside the polygon is as bad as it gets } double closest = INFINITY; // square of closest distance to the border - for (size_t i = start; i < start + count; i++) { + for (size_t i = 0; i < dv.size(); i++) { double dx = dv[i].x - x; double dy = dv[i].y - y; double squared = dx * dx + dy * dy; if (squared < closest) { closest = squared; } + + if (i > 0 && dv[i].op == VT_LINETO) { + squared = square_distance_from_line(x, y, dv[i - 1].x, dv[i - 1].y, dv[i].x, dv[i].y); + if (squared < closest) { + closest = squared; + } + } } return sqrt(closest); } +struct sorty { + long long x; + long long y; +}; + +struct sorty_sorter { + int kind; + sorty_sorter(int k) : kind(k) {}; + + bool operator()(const sorty &a, const sorty &b) const { + long long xa, ya, xb, yb; + + if (kind == 0) { // Y first + xa = a.x; + ya = a.y; + + xb = b.x; + yb = b.y; + } else if (kind == 1) { // X first + xa = a.y; + ya = a.x; + + xb = b.y; + yb = b.x; + } else if (kind == 2) { // diagonal + xa = a.x + a.y; + ya = a.x - a.y; + + xb = b.x + b.y; + yb = b.x - b.y; + } else { // other diagonal + xa = a.x - a.y; + ya = a.x + a.y; + + xb = b.x - b.y; + yb = b.x + b.y; + } + + if (ya < yb) { + return true; + } else if (ya == yb && xa < xb) { + return true; + } else { + return false; + } + }; +}; + +struct candidate { + long long x; + long long y; + double dist; + + bool operator<(const candidate &c) const { + // largest distance sorts first + return dist > c.dist; + }; +}; + // Generate a label point for a polygon feature. // // A good label point will be near the center of the feature and far from any border. @@ -1521,6 +1614,10 @@ double label_goodness(const drawvec &dv, size_t start, size_t count, long long x drawvec polygon_to_anchor(const drawvec &geom) { size_t start = 0, end = 0; size_t best_area = 0; + std::vector points; + + // find the largest outer ring, which will be the best thing + // to label if we can do it. for (size_t i = 0; i < geom.size(); i++) { if (geom[i].op == VT_MOVETO) { @@ -1529,6 +1626,11 @@ drawvec polygon_to_anchor(const drawvec &geom) { if (geom[j].op != VT_LINETO) { break; } + + sorty sy; + sy.x = geom[j].x; + sy.y = geom[j].y; + points.push_back(sy); } double area = get_area(geom, i, j); @@ -1542,13 +1644,15 @@ drawvec polygon_to_anchor(const drawvec &geom) { } } + // If there are no outer rings, don't generate a label point + if (best_area > 0) { long long xsum = 0; long long ysum = 0; size_t count = 0; long long xmin = LLONG_MAX, ymin = LLONG_MAX, xmax = LLONG_MIN, ymax = LLONG_MIN; - // Calculate centroid and bounding box. + // Calculate centroid and bounding box of biggest ring. // start + 1 to exclude the first point, which is duplicated as the last for (size_t k = start + 1; k < end; k++) { xsum += geom[k].x; @@ -1562,17 +1666,79 @@ drawvec polygon_to_anchor(const drawvec &geom) { } if (count > 0) { - draw centroid(VT_MOVETO, xsum / count, ysum / count); - draw d = centerOfMass(geom, start, end, centroid); + // We want label points that are at least a moderate distance from + // the edge of the feature. The threshold for what is too close + // is derived from the area of the feature. double radius = sqrt(best_area / M_PI); double goodness_threshold = radius / 5; - double goodness = label_goodness(geom, start, end - start - 1, d.x, d.y); + // First choice: Turf's center of mass. + + draw centroid(VT_MOVETO, xsum / count, ysum / count); + draw d = centerOfMass(geom, start, end, centroid); + double goodness = label_goodness(geom, d.x, d.y); + const char *kind = "mass"; + if (goodness < goodness_threshold) { // Label is too close to the border or outside it, - // so try some other possible points + // so try some other possible points. Sort the vertices + // both by Y and X coordinate and then by diagonals, + // and walk through each set + // in sorted order. Adjacent pairs of coordinates should + // tend to bounce back and forth between rings, so the + // midpoint of each pair will hopefully be somewhere in the + // interior of the polygon. + std::vector candidates; + + for (size_t pass = 0; pass < 4; pass++) { + std::sort(points.begin(), points.end(), sorty_sorter(pass)); + + for (size_t i = 1; i < points.size(); i++) { + double dx = points[i].x - points[i - 1].x; + double dy = points[i].y - points[i - 1].y; + + double dist = sqrt(dx * dx + dy * dy); + if (dist > 2 * goodness_threshold) { + candidate c; + + c.x = (points[i].x + points[i - 1].x) / 2; + c.y = (points[i].y + points[i - 1].y) / 2; + c.dist = dist; + + candidates.push_back(c); + } + } + } + + // Now sort the accumulate list of segment midpoints by the lengths + // of the segments. Starting from the longest + // segment, if we find one whose midpoint is inside the polygon and + // far enough from any edge to be good enough, stop looking. + + std::sort(candidates.begin(), candidates.end()); + // only check the top 50 stride midpoints, since this list can be quite large + for (size_t i = 0; i < candidates.size() && i < 50; i++) { + double maybe_goodness = label_goodness(geom, candidates[i].x, candidates[i].y); + + if (maybe_goodness > goodness) { + d.x = candidates[i].x; + d.y = candidates[i].y; + + goodness = maybe_goodness; + kind = "diagonal"; + if (goodness > goodness_threshold) { + break; + } + } + } + } + + // We may still not have anything decent, so the next thing to look at + // is points from gridding the bounding box of the largest ring. + + if (goodness < goodness_threshold) { for (long long sub = 2; sub < 32 && (xmax - xmin) > 2 * sub && (ymax - ymin) > 2 * sub; sub *= 2) { @@ -1582,11 +1748,12 @@ drawvec polygon_to_anchor(const drawvec &geom) { xmin + x * (xmax - xmin) / sub, ymin + y * (ymax - ymin) / sub); - double maybe_goodness = label_goodness(geom, start, end - start, maybe.x, maybe.y); + double maybe_goodness = label_goodness(geom, maybe.x, maybe.y); if (maybe_goodness > goodness) { // better than the previous d = maybe; goodness = maybe_goodness; + kind = "grid"; } } } @@ -1598,8 +1765,17 @@ drawvec polygon_to_anchor(const drawvec &geom) { // There is nothing really good. Is the centroid maybe better? // If not, we're stuck with whatever the best we found was. - if (label_goodness(geom, start, end - start, centroid.x, centroid.y) > goodness) { + double maybe_goodness = label_goodness(geom, centroid.x, centroid.y); + if (maybe_goodness > goodness) { d = centroid; + goodness = maybe_goodness; + kind = "centroid"; + } + + if (goodness <= 0) { + double lon, lat; + tile2lonlat(d.x, d.y, 32, &lon, &lat); + fprintf(stderr, "could not find label point: %s %f,%f\n", kind, lat, lon); } } @@ -1676,31 +1852,18 @@ drawvec checkerboard_anchors(drawvec const &geom, int tx, int ty, int z, unsigne continue; } - for (size_t a = 0; a < geom.size(); a++) { - if (geom[a].op == VT_MOVETO) { - size_t b; - for (b = a + 1; b < geom.size(); b++) { - if (geom[b].op != VT_LINETO) { - break; - } - } - - // If it's the central label, it's the best we've got, - // so accept it in any case. If it's from the outer spiral, - // don't use it if it's too close to a border. - if (lx == 0 && ly == 0) { - out.push_back(draw(VT_MOVETO, x - tx1, y - ty1)); - break; - } else { - double tilesize = 1LL << (32 - z); - double goodness_threshold = tilesize / 100; - if (label_goodness(geom, a, b - a, x - tx1, y - ty1) > goodness_threshold) { - out.push_back(draw(VT_MOVETO, x - tx1, y - ty1)); - break; - } - } - - a = b - 1; + // If it's the central label, it's the best we've got, + // so accept it in any case. If it's from the outer spiral, + // don't use it if it's too close to a border. + if (lx == 0 && ly == 0) { + out.push_back(draw(VT_MOVETO, x - tx1, y - ty1)); + break; + } else { + double tilesize = 1LL << (32 - z); + double goodness_threshold = tilesize / 100; + if (label_goodness(geom, x - tx1, y - ty1) > goodness_threshold) { + out.push_back(draw(VT_MOVETO, x - tx1, y - ty1)); + break; } } } diff --git a/tests/ne_110m_admin_0_countries/out/-z2_--convert-polygons-to-label-points.json b/tests/ne_110m_admin_0_countries/out/-z2_--convert-polygons-to-label-points.json index 66a6dfab..bf6c3e39 100644 --- a/tests/ne_110m_admin_0_countries/out/-z2_--convert-polygons-to-label-points.json +++ b/tests/ne_110m_admin_0_countries/out/-z2_--convert-polygons-to-label-points.json @@ -36,13 +36,13 @@ , { "type": "Feature", "properties": { "scalerank": 1, "featurecla": "Admin-0 country", "labelrank": 5, "sovereignt": "Costa Rica", "sov_a3": "CRI", "adm0_dif": 0, "level": 2, "type": "Sovereign country", "admin": "Costa Rica", "adm0_a3": "CRI", "geou_dif": 0, "geounit": "Costa Rica", "gu_a3": "CRI", "su_dif": 0, "subunit": "Costa Rica", "su_a3": "CRI", "brk_diff": 0, "name": "Costa Rica", "name_long": "Costa Rica", "brk_a3": "CRI", "brk_name": "Costa Rica", "abbrev": "C.R.", "postal": "CR", "formal_en": "Republic of Costa Rica", "name_sort": "Costa Rica", "mapcolor7": 3, "mapcolor8": 2, "mapcolor9": 4, "mapcolor13": 2, "pop_est": 4253877, "gdp_md_est": 48320, "pop_year": -99, "lastcensus": 2011, "gdp_year": -99, "economy": "5. Emerging region: G20", "income_grp": "3. 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