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@ -23,7 +23,7 @@ vec3 hex_starts[] = {
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{ HEX_X, 0, HEX_Z/2},
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};
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int32_t hex_starts_qr[][2] = {
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HexCoord hex_starts_qr[] = {
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{ 0, -1},
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{-1, 0},
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{-1, 1},
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@ -32,7 +32,7 @@ int32_t hex_starts_qr[][2] = {
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{ 1, -1},
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};
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int32_t hex_directions_qr[][2] = {
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HexCoord hex_directions_qr[] = {
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{-1, 1},
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{ 0, 1},
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{ 1, 0},
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@ -1131,3 +1131,149 @@ VkResult update_hex_click(
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return VK_SUCCESS;
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}
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void hex_qr(uint32_t hex, HexCoord* world) {
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float radius = 0;
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float ring = 0;
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int side = 0;
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if(hex != 0) {
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radius = floor(0.5 + sqrt(12*hex-3)/6);
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ring = hex - (3*radius*radius - 3*radius + 1);
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side = floor(ring/radius);
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}
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world->q = hex_starts_qr[side].q*radius + hex_directions_qr[side].q*(ring-(radius*side));
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world->r = hex_starts_qr[side].r*radius + hex_directions_qr[side].r*(ring-(radius*side));
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}
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void region_qr(HexCoord region, HexCoord* world) {
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world->q = region.q * REGION_DIAMETER + region.r * (REGION_DIAMETER - 1)/2;
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world->r = -region.r * REGION_DIAMETER - region.q * (REGION_DIAMETER + 1)/2;
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}
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void hex_add(HexCoord from, HexCoord* to) {
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to->q += from.q;
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to->r += from.r;
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}
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unsigned int hex_distance(HexCoord a, HexCoord b) {
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return (abs(a.q - b.q) + abs(a.r - b.r) + abs(a.q + a.r - b.q - b.r))/2;
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}
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unsigned int region_radius_1(HexCoord hex, HexCoord region) {
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return region.q*REGION_DIAMETER + region.r*(REGION_SIZE-1) - hex.q;
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}
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unsigned int region_radius_2(HexCoord hex, HexCoord region) {
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return -region.r*REGION_DIAMETER - region.q*REGION_SIZE - hex.r;
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}
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unsigned int region_radius_3(HexCoord hex, HexCoord region) {
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return region.q*(REGION_SIZE-1) - region.r*REGION_SIZE - hex.q - hex.r;
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}
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void region_1(HexCoord hex, HexCoord* region) {
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region->q = ceil((hex.q*REGION_DIAMETER + hex.r*(REGION_SIZE-1))/(double)REGION_HEX_COUNT);
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region->r = floor((-hex.q*REGION_SIZE - hex.r*REGION_DIAMETER)/(double)REGION_HEX_COUNT);
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}
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void region_2(HexCoord hex, HexCoord* region) {
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region->q = ceil((hex.q*REGION_DIAMETER + hex.r*(REGION_SIZE - 1))/(double)REGION_HEX_COUNT);
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region->r = floor((-hex.q*REGION_SIZE - hex.r*REGION_DIAMETER + REGION_SIZE*REGION_SIZE - 2*REGION_SIZE + 1)/(double)REGION_HEX_COUNT);
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}
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void region_3(HexCoord hex, HexCoord* region) {
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region->q = ceil((hex.q*REGION_DIAMETER + hex.r*(REGION_SIZE-1) - REGION_SIZE*REGION_SIZE + 2*REGION_SIZE - 1)/(double)REGION_HEX_COUNT);
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region->r = ceil((-hex.q*REGION_SIZE - hex.r*REGION_DIAMETER)/(double)REGION_HEX_COUNT);
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}
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void region_4(HexCoord hex, HexCoord* region) {
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region->q = ceil((hex.q*REGION_DIAMETER + hex.r*(REGION_SIZE-1) - REGION_SIZE*REGION_SIZE + REGION_SIZE)/(double)REGION_HEX_COUNT);
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region->r = floor((-hex.q*REGION_SIZE - hex.r*REGION_DIAMETER)/(double)REGION_HEX_COUNT);
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}
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void region_5(HexCoord hex, HexCoord* region) {
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region->q = ceil((hex.r*(REGION_SIZE-1) + hex.q*REGION_DIAMETER - 2*REGION_SIZE*REGION_SIZE + 2*REGION_SIZE)/(double)REGION_HEX_COUNT);
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region->r = floor((-hex.q*REGION_SIZE - hex.r*REGION_DIAMETER + REGION_SIZE*REGION_SIZE - REGION_SIZE)/(double)REGION_HEX_COUNT);
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}
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void region_6(HexCoord hex, HexCoord* region) {
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region->q = floor((hex.q*REGION_DIAMETER + hex.r*(REGION_SIZE-1))/(double)REGION_HEX_COUNT);
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region->r = ceil((-hex.q*REGION_SIZE - hex.r*REGION_DIAMETER)/(double)REGION_HEX_COUNT);
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}
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void hex_index(HexCoord world, HexCoord* region, uint32_t* hex) {
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int R1, R2, R3;
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unsigned int side, radius;
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HexCoord side_start, region_center;
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region_1(world, region);
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R1 = region_radius_1(world, *region);
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R2 = region_radius_2(world, *region);
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R3 = region_radius_3(world, *region);
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radius = (R1 + R2 + R3)/2;
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if(R1 >= 0 && R2 > 0 && radius <= REGION_SIZE - 1) {
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side = 0;
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goto side_found;
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}
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region_2(world, region);
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R1 = region_radius_1(world, *region);
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R2 = region_radius_2(world, *region);
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R3 = region_radius_3(world, *region);
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radius = (R1 - R2 + R3)/2;
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if(R2 <= 0 && R3 > 0 && radius <= REGION_SIZE - 1) {
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side = 1;
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goto side_found;
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}
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region_3(world, region);
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R1 = region_radius_1(world, *region);
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R2 = region_radius_2(world, *region);
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R3 = region_radius_3(world, *region);
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radius = (R1 - R2 - R3)/2;
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if(R1 > 0 && R3 <= 0 && radius <= REGION_SIZE - 1) {
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side = 2;
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goto side_found;
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}
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region_4(world, region);
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R1 = region_radius_1(world, *region);
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R2 = region_radius_2(world, *region);
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R3 = region_radius_3(world, *region);
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radius = (-R1 + R2 + R3)/2;
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if(R1 < 0 && R3 >= 0 && radius <= REGION_SIZE - 1) {
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side = 5;
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goto side_found;
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}
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region_5(world, region);
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R1 = region_radius_1(world, *region);
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R2 = region_radius_2(world, *region);
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R3 = region_radius_3(world, *region);
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radius = (-R1 + R2 - R3)/2;
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if(R2 >= 0 && R3 < 0 && radius <= REGION_SIZE - 1) {
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side = 4;
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goto side_found;
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}
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region_6(world, region);
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side = 3;
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R1 = region_radius_1(world, *region);
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R2 = region_radius_2(world, *region);
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R3 = region_radius_3(world, *region);
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radius = (-R1 - R2 -R3)/2;
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side_found:
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side_start.q = hex_starts_qr[side].q * radius;
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side_start.r = hex_starts_qr[side].r * radius;
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region_qr(*region, ®ion_center);
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hex_add(region_center, &side_start);
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unsigned int side_distance = hex_distance(world, side_start);
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if(radius == 0) {
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*hex = 0;
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} else {
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*hex = (3*radius*(radius-1) + 1) + radius*side + side_distance;
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}
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}
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