#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; 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) { 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 += 5) { 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; } } namespace DB { namespace GeoUtils { size_t geohashEncode(Float64 longitude, Float64 latitude, UInt8 precision, char *& out) { if (precision == 0 || precision > MAX_PRECISION) { precision = MAX_PRECISION; } const Encoded combined = merge( encodeCoordinate(longitude, -180, 180, singleCoordBitsPrecision(precision, LONGITUDE)), encodeCoordinate(latitude, -90, 90, singleCoordBitsPrecision(precision, LATITUDE)), precision); base32Encode(combined, precision, out); return precision; } void geohashDecode(const char * encoded_string, size_t encoded_len, Float64 * longitude, Float64 * latitude) { const UInt8 precision = std::min(encoded_len, MAX_PRECISION); if (precision == 0) { return; } Encoded lat_encoded, lon_encoded; std::tie(lon_encoded, lat_encoded) = split(base32Decode(encoded_string, precision), precision); *longitude = decodeCoordinate(lon_encoded, -180, 180, singleCoordBitsPrecision(precision, LONGITUDE)); *latitude = decodeCoordinate(lat_encoded, -90, 90, singleCoordBitsPrecision(precision, LATITUDE)); } } }