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Add Hilbert Curve feature sequencing as an option
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+58
-2
@@ -5,6 +5,9 @@
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#include <atomic>
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#include "projection.hpp"
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unsigned long long (*encode_index)(unsigned int wx, unsigned int wy) = NULL;
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void (*decode_index)(unsigned long long index, unsigned *wx, unsigned *wy) = NULL;
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struct projection projections[] = {
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{"EPSG:4326", lonlat2tile, tile2lonlat, "urn:ogc:def:crs:OGC:1.3:CRS84"},
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{"EPSG:3857", epsg3857totile, tiletoepsg3857, "urn:ogc:def:crs:EPSG::3857"},
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@@ -93,7 +96,60 @@ void tiletoepsg3857(long long ix, long long iy, int zoom, double *ox, double *oy
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*oy = ((1LL << 32) - 1 - iy - (1LL << 31)) * M_PI * 6378137.0 / (1LL << 31);
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}
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unsigned long long encode(unsigned int wx, unsigned int wy) {
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// https://en.wikipedia.org/wiki/Hilbert_curve
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void hilbert_rot(unsigned long long n, unsigned *x, unsigned *y, unsigned long long rx, unsigned long long ry) {
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if (ry == 0) {
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if (rx == 1) {
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*x = n - 1 - *x;
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*y = n - 1 - *y;
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}
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unsigned t = *x;
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*x = *y;
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*y = t;
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}
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}
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unsigned long long hilbert_xy2d(unsigned long long n, unsigned x, unsigned y) {
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unsigned long long d = 0;
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unsigned long long rx, ry;
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for (unsigned long long s = n / 2; s > 0; s /= 2) {
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rx = (x & s) != 0;
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ry = (y & s) != 0;
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d += s * s * ((3 * rx) ^ ry);
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hilbert_rot(s, &x, &y, rx, ry);
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}
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return d;
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}
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void hilbert_d2xy(unsigned long long n, unsigned long long d, unsigned *x, unsigned *y) {
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unsigned long long rx, ry;
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unsigned long long t = d;
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*x = *y = 0;
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for (unsigned long long s = 1; s < n; s *= 2) {
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rx = 1 & (t / 2);
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ry = 1 & (t ^ rx);
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hilbert_rot(s, x, y, rx, ry);
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*x += s * rx;
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*y += s * ry;
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t /= 4;
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}
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}
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unsigned long long encode_hilbert(unsigned int wx, unsigned int wy) {
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return hilbert_xy2d(1LL << 32, wx, wy);
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}
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void decode_hilbert(unsigned long long index, unsigned *wx, unsigned *wy) {
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hilbert_d2xy(1LL << 32, index, wx, wy);
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}
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unsigned long long encode_quadkey(unsigned int wx, unsigned int wy) {
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unsigned long long out = 0;
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int i;
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@@ -111,7 +167,7 @@ unsigned long long encode(unsigned int wx, unsigned int wy) {
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static std::atomic<unsigned char> decodex[256];
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static std::atomic<unsigned char> decodey[256];
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void decode(unsigned long long index, unsigned *wx, unsigned *wy) {
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void decode_quadkey(unsigned long long index, unsigned *wx, unsigned *wy) {
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static std::atomic<int> initialized(0);
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if (!initialized) {
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for (size_t ix = 0; ix < 256; ix++) {
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