#include #include namespace { using namespace DB; const char geohash_base32_encode_lookup_table[32] = { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'j', 'k', 'm', 'n', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', }; // TODO: this could be halved by excluding 128-255 range. const UInt8 geohash_base32_decode_lookup_table[256] = { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 10, 11, 12, 13, 14, 15, 16, 0xFF, 17, 18, 0xFF, 19, 20, 0xFF, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, }; const size_t BITS_PER_SYMBOL = 5; const size_t MAX_PRECISION = 12; const size_t MAX_BITS = MAX_PRECISION * BITS_PER_SYMBOL * 1.5; const Float64 LON_MIN = -180; const Float64 LON_MAX = 180; const Float64 LAT_MIN = -90; const Float64 LAT_MAX = 90; using Encoded = std::array; enum CoordType { LATITUDE, LONGITUDE, }; inline UInt8 singleCoordBitsPrecision(UInt8 precision, CoordType type) { // Single coordinate occupies only half of the total bits. const UInt8 bits = (precision * BITS_PER_SYMBOL) / 2; if (precision & 0x1 && type == LONGITUDE) { return bits + 1; } return bits; } inline Encoded encodeCoordinate(Float64 coord, Float64 min, Float64 max, UInt8 bits) { Encoded result; result.fill(0); for (size_t i = 0; i < bits; ++i) { const Float64 mid = (max + min) / 2; if (coord >= mid) { result[i] = 1; min = mid; } else { result[i] = 0; max = mid; } } return result; } inline Float64 decodeCoordinate(const Encoded & coord, Float64 min, Float64 max, UInt8 bits) { Float64 mid = (max + min) / 2; for (size_t i = 0; i < bits; ++i) { const auto c = coord[i]; if (c == 1) { min = mid; } else { max = mid; } mid = (max + min) / 2; } return mid; } inline Encoded merge(const Encoded & encodedLon, const Encoded & encodedLat, UInt8 precision) { Encoded result; result.fill(0); const auto bits = (precision * BITS_PER_SYMBOL) / 2; UInt8 i = 0; for (; i < bits; ++i) { result[i * 2 + 0] = encodedLon[i]; result[i * 2 + 1] = encodedLat[i]; } // in case of even precision, add last bit of longitude if (precision & 0x1) { result[i * 2] = encodedLon[i]; } return result; } inline std::tuple split(const Encoded & combined, UInt8 precision) { Encoded lat, lon; lat.fill(0); lon.fill(0); UInt8 i = 0; for (; i < precision * BITS_PER_SYMBOL - 1; i += 2) { // longitude is even bits lon[i/2] = combined[i]; lat[i/2] = combined[i + 1]; } // precision is even, read the last bit as lat. if (precision & 0x1) { lon[i/2] = combined[precision * BITS_PER_SYMBOL - 1]; } return std::tie(lon, lat); } inline void base32Encode(const Encoded & binary, UInt8 precision, char * out) { extern const char geohash_base32_encode_lookup_table[32]; for (UInt8 i = 0; i < precision * BITS_PER_SYMBOL; i += BITS_PER_SYMBOL) { UInt8 v = binary[i]; v <<= 1; v |= binary[i + 1]; v <<= 1; v |= binary[i + 2]; v <<= 1; v |= binary[i + 3]; v <<= 1; v |= binary[i + 4]; assert(v < 32); *out = geohash_base32_encode_lookup_table[v]; ++out; } } inline Encoded base32Decode(const char * encoded_string, size_t encoded_length) { extern const UInt8 geohash_base32_decode_lookup_table[256]; Encoded result; for (size_t i = 0; i < encoded_length; ++i) { const UInt8 c = static_cast(encoded_string[i]); const UInt8 decoded = geohash_base32_decode_lookup_table[c] & 0x1F; result[i * 5 + 4] = (decoded >> 0) & 0x01; result[i * 5 + 3] = (decoded >> 1) & 0x01; result[i * 5 + 2] = (decoded >> 2) & 0x01; result[i * 5 + 1] = (decoded >> 3) & 0x01; result[i * 5 + 0] = (decoded >> 4) & 0x01; } return result; } inline Float64 getMaxSpan(CoordType type) { if (type == LONGITUDE) { return LON_MAX - LON_MIN; } return LAT_MAX - LAT_MIN; } inline Float64 getSpan(UInt8 precision, CoordType type) { const auto bits = singleCoordBitsPrecision(precision, type); // since every bit of precision divides span by 2, divide max span by 2^bits. return ldexp(getMaxSpan(type), -1 * bits); } inline UInt8 geohashPrecision(UInt8 precision) { if (precision == 0 || precision > MAX_PRECISION) { precision = MAX_PRECISION; } return precision; } inline size_t geohashEncodeImpl(Float64 longitude, Float64 latitude, UInt8 precision, char * out) { const Encoded combined = merge( encodeCoordinate(longitude, LON_MIN, LON_MAX, singleCoordBitsPrecision(precision, LONGITUDE)), encodeCoordinate(latitude, LAT_MIN, LAT_MAX, singleCoordBitsPrecision(precision, LATITUDE)), precision); base32Encode(combined, precision, out); return precision; } } namespace DB { namespace ErrorCodes { extern const int ARGUMENT_OUT_OF_BOUND; } namespace GeoUtils { size_t geohashEncode(Float64 longitude, Float64 latitude, UInt8 precision, char * out) { precision = geohashPrecision(precision); return geohashEncodeImpl(longitude, latitude, precision, out); } void geohashDecode(const char * encoded_string, size_t encoded_len, Float64 * longitude, Float64 * latitude) { const UInt8 precision = std::min(encoded_len, static_cast(MAX_PRECISION)); if (precision == 0) { // Empty string is converted to (0, 0) *longitude = 0; *latitude = 0; return; } Encoded lat_encoded, lon_encoded; std::tie(lon_encoded, lat_encoded) = split(base32Decode(encoded_string, precision), precision); *longitude = decodeCoordinate(lon_encoded, LON_MIN, LON_MAX, singleCoordBitsPrecision(precision, LONGITUDE)); *latitude = decodeCoordinate(lat_encoded, LAT_MIN, LAT_MAX, singleCoordBitsPrecision(precision, LATITUDE)); } GeohashesInBoxPreparedArgs geohashesInBoxPrepare(const Float64 longitude_min, const Float64 latitude_min, const Float64 longitude_max, const Float64 latitude_max, UInt8 precision) { precision = geohashPrecision(precision); if (longitude_max < longitude_min || latitude_max < latitude_min) { return {}; } const auto lon_step = getSpan(precision, LONGITUDE); const auto lat_step = getSpan(precision, LATITUDE); // align max to the right(or up) border of geohash grid cell to ensure that cell is in result. Float64 lon_min = floor(longitude_min / lon_step) * lon_step; Float64 lat_min = floor(latitude_min / lat_step) * lat_step; Float64 lon_max = ceil(longitude_max / lon_step) * lon_step; Float64 lat_max = ceil(latitude_max / lat_step) * lat_step; const auto lon_span = lon_max - lon_min; const auto lat_span = lat_max - lat_min; // in case of a very small (or zero) span, produce at least 1 item. const auto items_count = std::max(size_t{1}, static_cast(ceil(lon_span/lon_step * lat_span/lat_step))); return GeohashesInBoxPreparedArgs{ items_count, precision, lon_min, lat_min, lon_max, lat_max, lon_step, lat_step }; } UInt64 geohashesInBox(const GeohashesInBoxPreparedArgs & args, char * out) { if (args.items_count == 0 || args.precision == 0 || args.precision > MAX_PRECISION || args.latitude_min > args.latitude_max || args.longitude_min > args.longitude_max || args.longitude_step <= 0 || args.latitude_step <= 0) { return 0; } UInt64 items = 0; for (auto lon = args.longitude_min; lon < args.longitude_max; lon += args.longitude_step) { for (auto lat = args.latitude_min; lat < args.latitude_max; lat += args.latitude_step) { assert(items <= args.items_count); size_t l = geohashEncodeImpl(lon, lat, args.precision, out); out += l; *out = '\0'; ++out; ++items; } } if (items == 0) { size_t l = geohashEncodeImpl(args.longitude_min, args.latitude_min, args.precision, out); out += l; *out = '\0'; ++out; ++items; } return items; } } }