folly/IPAddressV6.cpp

   1 /*
   2  * Copyright 2016 Facebook, Inc.
   3  *
   4  * Licensed under the Apache License, Version 2.0 (the "License");
   5  * you may not use this file except in compliance with the License.
   6  * You may obtain a copy of the License at
   7  *
   8  *   http://www.apache.org/licenses/LICENSE-2.0
   9  *
  10  * Unless required by applicable law or agreed to in writing, software
  11  * distributed under the License is distributed on an "AS IS" BASIS,
  12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  13  * See the License for the specific language governing permissions and
  14  * limitations under the License.
  15  */
  16
  17 #include <folly/IPAddressV6.h>
  18
  19 #include <ostream>
  20 #include <string>
  21
  22 #include <folly/Format.h>
  23 #include <folly/IPAddress.h>
  24 #include <folly/IPAddressV4.h>
  25 #include <folly/MacAddress.h>
  26 #include <folly/detail/IPAddressSource.h>
  27
  28 using std::ostream;
  29 using std::string;
  30
  31 namespace folly {
  32
  33 // public static const
  34 const uint32_t IPAddressV6::PREFIX_TEREDO = 0x20010000;
  35 const uint32_t IPAddressV6::PREFIX_6TO4 = 0x2002;
  36
  37 // free functions
  38 size_t hash_value(const IPAddressV6& addr) {
  39   return addr.hash();
  40 }
  41 ostream& operator<<(ostream& os, const IPAddressV6& addr) {
  42   os << addr.str();
  43   return os;
  44 }
  45 void toAppend(IPAddressV6 addr, string* result) {
  46   result->append(addr.str());
  47 }
  48 void toAppend(IPAddressV6 addr, fbstring* result) {
  49   result->append(addr.str());
  50 }
  51
  52 bool IPAddressV6::validate(StringPiece ip) {
  53   if (ip.size() > 0 && ip.front() == '[' && ip.back() == ']') {
  54     ip = ip.subpiece(1, ip.size() - 2);
  55   }
  56
  57   constexpr size_t kStrMaxLen = INET6_ADDRSTRLEN;
  58   std::array<char, kStrMaxLen + 1> ip_cstr;
  59   const size_t len = std::min(ip.size(), kStrMaxLen);
  60   std::memcpy(ip_cstr.data(), ip.data(), len);
  61   ip_cstr[len] = 0;
  62   struct in6_addr addr;
  63   return 1 == inet_pton(AF_INET6, ip_cstr.data(), &addr);
  64 }
  65
  66 // public default constructor
  67 IPAddressV6::IPAddressV6() {
  68 }
  69
  70 // public string constructor
  71 IPAddressV6::IPAddressV6(StringPiece addr) {
  72   auto ip = addr.str();
  73
  74   // Allow addresses surrounded in brackets
  75   if (ip.size() < 2) {
  76     throw IPAddressFormatException(
  77         to<std::string>("Invalid IPv6 address '", ip, "': address too short"));
  78   }
  79   if (ip.front() == '[' && ip.back() == ']') {
  80     ip = ip.substr(1, ip.size() - 2);
  81   }
  82
  83   struct addrinfo* result;
  84   struct addrinfo hints;
  85   memset(&hints, 0, sizeof(hints));
  86   hints.ai_family = AF_INET6;
  87   hints.ai_socktype = SOCK_STREAM;
  88   hints.ai_flags = AI_NUMERICHOST;
  89   if (!getaddrinfo(ip.c_str(), nullptr, &hints, &result)) {
  90     struct sockaddr_in6* ipAddr = (struct sockaddr_in6*)result->ai_addr;
  91     addr_.in6Addr_ = ipAddr->sin6_addr;
  92     scope_ = ipAddr->sin6_scope_id;
  93     freeaddrinfo(result);
  94   } else {
  95     throw IPAddressFormatException(
  96         to<std::string>("Invalid IPv6 address '", ip, "'"));
  97   }
  98 }
  99
 100 // in6_addr constructor
 101 IPAddressV6::IPAddressV6(const in6_addr& src)
 102   : addr_(src)
 103 {
 104 }
 105
 106 // sockaddr_in6 constructor
 107 IPAddressV6::IPAddressV6(const sockaddr_in6& src)
 108   : addr_(src.sin6_addr)
 109   , scope_(src.sin6_scope_id)
 110 {
 111 }
 112
 113 // ByteArray16 constructor
 114 IPAddressV6::IPAddressV6(const ByteArray16& src)
 115   : addr_(src)
 116 {
 117 }
 118
 119 // link-local constructor
 120 IPAddressV6::IPAddressV6(LinkLocalTag, MacAddress mac)
 121   : addr_(mac) {
 122 }
 123
 124 IPAddressV6::AddressStorage::AddressStorage(MacAddress mac) {
 125   // The link-local address uses modified EUI-64 format,
 126   // See RFC 4291 sections 2.5.1, 2.5.6, and Appendix A
 127   const auto* macBytes = mac.bytes();
 128   memcpy(&bytes_.front(), "\xfe\x80\x00\x00\x00\x00\x00\x00", 8);
 129   bytes_[8] = macBytes[0] ^ 0x02;
 130   bytes_[9] = macBytes[1];
 131   bytes_[10] = macBytes[2];
 132   bytes_[11] = 0xff;
 133   bytes_[12] = 0xfe;
 134   bytes_[13] = macBytes[3];
 135   bytes_[14] = macBytes[4];
 136   bytes_[15] = macBytes[5];
 137 }
 138
 139 void IPAddressV6::setFromBinary(ByteRange bytes) {
 140   if (bytes.size() != 16) {
 141     throw IPAddressFormatException(to<std::string>(
 142         "Invalid IPv6 binary data: length must ",
 143         "be 16 bytes, got ",
 144         bytes.size()));
 145   }
 146   memcpy(&addr_.in6Addr_.s6_addr, bytes.data(), sizeof(in6_addr));
 147   scope_ = 0;
 148 }
 149
 150 // public
 151 IPAddressV4 IPAddressV6::createIPv4() const {
 152   if (!isIPv4Mapped()) {
 153     throw IPAddressFormatException("addr is not v4-to-v6-mapped");
 154   }
 155   const unsigned char* by = bytes();
 156   return IPAddressV4(detail::Bytes::mkAddress4(&by[12]));
 157 }
 158
 159 // convert two uint8_t bytes into a uint16_t as hibyte.lobyte
 160 static inline uint16_t unpack(uint8_t lobyte, uint8_t hibyte) {
 161   return ((uint16_t)hibyte << 8) | (uint16_t)lobyte;
 162 }
 163
 164 // given a src string, unpack count*2 bytes into dest
 165 // dest must have as much storage as count
 166 static inline void unpackInto(const unsigned char* src,
 167                               uint16_t* dest,
 168                               size_t count) {
 169   for (size_t i = 0, hi = 1, lo = 0; i < count; i++) {
 170     dest[i] = unpack(src[hi], src[lo]);
 171     hi += 2;
 172     lo += 2;
 173   }
 174 }
 175
 176 // public
 177 IPAddressV4 IPAddressV6::getIPv4For6To4() const {
 178   if (!is6To4()) {
 179     throw IPAddressV6::TypeError(format(
 180             "Invalid IP '{}': not a 6to4 address", str()).str());
 181   }
 182   // convert 16x8 bytes into first 4x16 bytes
 183   uint16_t ints[4] = {0,0,0,0};
 184   unpackInto(bytes(), ints, 4);
 185   // repack into 4x8
 186   union {
 187     unsigned char bytes[4];
 188     in_addr addr;
 189   } ipv4;
 190   ipv4.bytes[0] = (uint8_t)((ints[1] & 0xFF00) >> 8);
 191   ipv4.bytes[1] = (uint8_t)(ints[1] & 0x00FF);
 192   ipv4.bytes[2] = (uint8_t)((ints[2] & 0xFF00) >> 8);
 193   ipv4.bytes[3] = (uint8_t)(ints[2] & 0x00FF);
 194   return IPAddressV4(ipv4.addr);
 195 }
 196
 197 // public
 198 bool IPAddressV6::isIPv4Mapped() const {
 199   // v4 mapped addresses have their first 10 bytes set to 0, the next 2 bytes
 200   // set to 255 (0xff);
 201   const unsigned char* by = bytes();
 202
 203   // check if first 10 bytes are 0
 204   for (int i = 0; i < 10; i++) {
 205     if (by[i] != 0x00) {
 206       return false;
 207     }
 208   }
 209   // check if bytes 11 and 12 are 255
 210   if (by[10] == 0xff && by[11] == 0xff) {
 211     return true;
 212   }
 213   return false;
 214 }
 215
 216 // public
 217 IPAddressV6::Type IPAddressV6::type() const {
 218   // convert 16x8 bytes into first 2x16 bytes
 219   uint16_t ints[2] = {0,0};
 220   unpackInto(bytes(), ints, 2);
 221
 222   if ((((uint32_t)ints[0] << 16) | ints[1]) == IPAddressV6::PREFIX_TEREDO) {
 223     return Type::TEREDO;
 224   }
 225
 226   if ((uint32_t)ints[0] == IPAddressV6::PREFIX_6TO4) {
 227     return Type::T6TO4;
 228   }
 229
 230   return Type::NORMAL;
 231 }
 232
 233 // public
 234 string IPAddressV6::toJson() const {
 235   return format(
 236       "{{family:'AF_INET6', addr:'{}', hash:{}}}", str(), hash()).str();
 237 }
 238
 239 // public
 240 size_t IPAddressV6::hash() const {
 241   if (isIPv4Mapped()) {
 242     /* An IPAddress containing this object would be equal (i.e. operator==)
 243        to an IPAddress containing the corresponding IPv4.
 244        So we must make sure that the hash values are the same as well */
 245     return IPAddress::createIPv4(*this).hash();
 246   }
 247
 248   static const uint64_t seed = AF_INET6;
 249   uint64_t hash1 = 0, hash2 = 0;
 250   hash::SpookyHashV2::Hash128(&addr_, 16, &hash1, &hash2);
 251   return hash::hash_combine(seed, hash1, hash2);
 252 }
 253
 254 // public
 255 bool IPAddressV6::inSubnet(StringPiece cidrNetwork) const {
 256   auto subnetInfo = IPAddress::createNetwork(cidrNetwork);
 257   auto addr = subnetInfo.first;
 258   if (!addr.isV6()) {
 259     throw IPAddressFormatException(to<std::string>(
 260         "Address '", addr.toJson(), "' ", "is not a V6 address"));
 261   }
 262   return inSubnetWithMask(addr.asV6(), fetchMask(subnetInfo.second));
 263 }
 264
 265 // public
 266 bool IPAddressV6::inSubnetWithMask(const IPAddressV6& subnet,
 267                                    const ByteArray16& cidrMask) const {
 268   const ByteArray16 mask = detail::Bytes::mask(toByteArray(), cidrMask);
 269   const ByteArray16 subMask = detail::Bytes::mask(subnet.toByteArray(),
 270                                                   cidrMask);
 271   return (mask == subMask);
 272 }
 273
 274 // public
 275 bool IPAddressV6::isLoopback() const {
 276   // Check if v4 mapped is loopback
 277   if (isIPv4Mapped() && createIPv4().isLoopback()) {
 278     return true;
 279   }
 280   auto socka = toSockAddr();
 281   return IN6_IS_ADDR_LOOPBACK(&socka.sin6_addr);
 282 }
 283
 284 bool IPAddressV6::isRoutable() const {
 285   return
 286     // 2000::/3 is the only assigned global unicast block
 287     inBinarySubnet({{0x20, 0x00}}, 3) ||
 288     // ffxe::/16 are global scope multicast addresses,
 289     // which are eligible to be routed over the internet
 290     (isMulticast() && getMulticastScope() == 0xe);
 291 }
 292
 293 bool IPAddressV6::isLinkLocalBroadcast() const {
 294   static const IPAddressV6 kLinkLocalBroadcast("ff02::1");
 295   return *this == kLinkLocalBroadcast;
 296 }
 297
 298 // public
 299 bool IPAddressV6::isPrivate() const {
 300   // Check if mapped is private
 301   if (isIPv4Mapped() && createIPv4().isPrivate()) {
 302     return true;
 303   }
 304   return isLoopback() || inBinarySubnet({{0xfc, 0x00}}, 7);
 305 }
 306
 307 // public
 308 bool IPAddressV6::isLinkLocal() const {
 309   return inBinarySubnet({{0xfe, 0x80}}, 10);
 310 }
 311
 312 bool IPAddressV6::isMulticast() const {
 313   return addr_.bytes_[0] == 0xff;
 314 }
 315
 316 uint8_t IPAddressV6::getMulticastFlags() const {
 317   DCHECK(isMulticast());
 318   return ((addr_.bytes_[1] >> 4) & 0xf);
 319 }
 320
 321 uint8_t IPAddressV6::getMulticastScope() const {
 322   DCHECK(isMulticast());
 323   return (addr_.bytes_[1] & 0xf);
 324 }
 325
 326 IPAddressV6 IPAddressV6::getSolicitedNodeAddress() const {
 327   // Solicted node addresses must be constructed from unicast (or anycast)
 328   // addresses
 329   DCHECK(!isMulticast());
 330
 331   uint8_t bytes[16] = { 0xff, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
 332                         0x00, 0x00, 0x00, 0x01, 0xff, 0x00, 0x00, 0x00 };
 333   bytes[13] = addr_.bytes_[13];
 334   bytes[14] = addr_.bytes_[14];
 335   bytes[15] = addr_.bytes_[15];
 336   return IPAddressV6::fromBinary(ByteRange(bytes, 16));
 337 }
 338
 339 // public
 340 IPAddressV6 IPAddressV6::mask(size_t numBits) const {
 341   static const auto bits = bitCount();
 342   if (numBits > bits) {
 343     throw IPAddressFormatException(
 344         to<std::string>("numBits(", numBits, ") > bitCount(", bits, ")"));
 345   }
 346   ByteArray16 ba = detail::Bytes::mask(fetchMask(numBits), addr_.bytes_);
 347   return IPAddressV6(ba);
 348 }
 349
 350 // public
 351 string IPAddressV6::str() const {
 352   char buffer[INET6_ADDRSTRLEN] = {0};
 353   sockaddr_in6 sock = toSockAddr();
 354   if (!getnameinfo(
 355         (sockaddr*)&sock, sizeof(sock),
 356         buffer, INET6_ADDRSTRLEN,
 357         nullptr, 0, NI_NUMERICHOST)) {
 358     string ip(buffer);
 359     return ip;
 360   } else {
 361     throw IPAddressFormatException(to<std::string>(
 362         "Invalid address with hex ",
 363         "'",
 364         detail::Bytes::toHex(bytes(), 16),
 365         "'"));
 366   }
 367 }
 368
 369 // public
 370 string IPAddressV6::toFullyQualified() const {
 371   return detail::fastIpv6ToString(addr_.in6Addr_);
 372 }
 373
 374 // public
 375 uint8_t IPAddressV6::getNthMSByte(size_t byteIndex) const {
 376   const auto highestIndex = byteCount() - 1;
 377   if (byteIndex > highestIndex) {
 378     throw std::invalid_argument(to<string>("Byte index must be <= ",
 379         to<string>(highestIndex), " for addresses of type :",
 380         detail::familyNameStr(AF_INET6)));
 381   }
 382   return bytes()[byteIndex];
 383 }
 384
 385 // protected
 386 const ByteArray16 IPAddressV6::fetchMask(size_t numBits) {
 387   static const uint8_t bits = bitCount();
 388   if (numBits > bits) {
 389     throw IPAddressFormatException("IPv6 addresses are 128 bits.");
 390   }
 391   // masks_ is backed by an array so is zero indexed
 392   return masks_[numBits];
 393 }
 394
 395 // public static
 396 CIDRNetworkV6 IPAddressV6::longestCommonPrefix(
 397     const CIDRNetworkV6& one,
 398     const CIDRNetworkV6& two) {
 399   auto prefix = detail::Bytes::longestCommonPrefix(
 400       one.first.addr_.bytes_, one.second, two.first.addr_.bytes_, two.second);
 401   return {IPAddressV6(prefix.first), prefix.second};
 402 }
 403
 404 // protected
 405 bool IPAddressV6::inBinarySubnet(const std::array<uint8_t, 2> addr,
 406                                  size_t numBits) const {
 407   auto masked = mask(numBits);
 408   return (std::memcmp(addr.data(), masked.bytes(), 2) == 0);
 409 }
 410
 411 // static private
 412 const std::array<ByteArray16, 129> IPAddressV6::masks_ = {{
 413 /* /0   */ {{ 0x00,0x00,0x00,0x00,
 414              0x00,0x00,0x00,0x00,
 415              0x00,0x00,0x00,0x00,
 416              0x00,0x00,0x00,0x00 }},
 417 /* /1   */ {{ 0x80,0x00,0x00,0x00,
 418              0x00,0x00,0x00,0x00,
 419              0x00,0x00,0x00,0x00,
 420              0x00,0x00,0x00,0x00 }},
 421 /* /2   */ {{ 0xc0,0x00,0x00,0x00,
 422              0x00,0x00,0x00,0x00,
 423              0x00,0x00,0x00,0x00,
 424              0x00,0x00,0x00,0x00 }},
 425 /* /3   */ {{ 0xe0,0x00,0x00,0x00,
 426              0x00,0x00,0x00,0x00,
 427              0x00,0x00,0x00,0x00,
 428              0x00,0x00,0x00,0x00 }},
 429 /* /4   */ {{ 0xf0,0x00,0x00,0x00,
 430              0x00,0x00,0x00,0x00,
 431              0x00,0x00,0x00,0x00,
 432              0x00,0x00,0x00,0x00 }},
 433 /* /5   */ {{ 0xf8,0x00,0x00,0x00,
 434              0x00,0x00,0x00,0x00,
 435              0x00,0x00,0x00,0x00,
 436              0x00,0x00,0x00,0x00 }},
 437 /* /6   */ {{ 0xfc,0x00,0x00,0x00,
 438              0x00,0x00,0x00,0x00,
 439              0x00,0x00,0x00,0x00,
 440              0x00,0x00,0x00,0x00 }},
 441 /* /7   */ {{ 0xfe,0x00,0x00,0x00,
 442              0x00,0x00,0x00,0x00,
 443              0x00,0x00,0x00,0x00,
 444              0x00,0x00,0x00,0x00 }},
 445 /* /8   */ {{ 0xff,0x00,0x00,0x00,
 446              0x00,0x00,0x00,0x00,
 447              0x00,0x00,0x00,0x00,
 448              0x00,0x00,0x00,0x00 }},
 449 /* /9   */ {{ 0xff,0x80,0x00,0x00,
 450              0x00,0x00,0x00,0x00,
 451              0x00,0x00,0x00,0x00,
 452              0x00,0x00,0x00,0x00 }},
 453 /* /10  */ {{ 0xff,0xc0,0x00,0x00,
 454              0x00,0x00,0x00,0x00,
 455              0x00,0x00,0x00,0x00,
 456              0x00,0x00,0x00,0x00 }},
 457 /* /11  */ {{ 0xff,0xe0,0x00,0x00,
 458              0x00,0x00,0x00,0x00,
 459              0x00,0x00,0x00,0x00,
 460              0x00,0x00,0x00,0x00 }},
 461 /* /12  */ {{ 0xff,0xf0,0x00,0x00,
 462              0x00,0x00,0x00,0x00,
 463              0x00,0x00,0x00,0x00,
 464              0x00,0x00,0x00,0x00 }},
 465 /* /13  */ {{ 0xff,0xf8,0x00,0x00,
 466              0x00,0x00,0x00,0x00,
 467              0x00,0x00,0x00,0x00,
 468              0x00,0x00,0x00,0x00 }},
 469 /* /14  */ {{ 0xff,0xfc,0x00,0x00,
 470              0x00,0x00,0x00,0x00,
 471              0x00,0x00,0x00,0x00,
 472              0x00,0x00,0x00,0x00 }},
 473 /* /15  */ {{ 0xff,0xfe,0x00,0x00,
 474              0x00,0x00,0x00,0x00,
 475              0x00,0x00,0x00,0x00,
 476              0x00,0x00,0x00,0x00 }},
 477 /* /16  */ {{ 0xff,0xff,0x00,0x00,
 478              0x00,0x00,0x00,0x00,
 479              0x00,0x00,0x00,0x00,
 480              0x00,0x00,0x00,0x00 }},
 481 /* /17  */ {{ 0xff,0xff,0x80,0x00,
 482              0x00,0x00,0x00,0x00,
 483              0x00,0x00,0x00,0x00,
 484              0x00,0x00,0x00,0x00 }},
 485 /* /18  */ {{ 0xff,0xff,0xc0,0x00,
 486              0x00,0x00,0x00,0x00,
 487              0x00,0x00,0x00,0x00,
 488              0x00,0x00,0x00,0x00 }},
 489 /* /19  */ {{ 0xff,0xff,0xe0,0x00,
 490              0x00,0x00,0x00,0x00,
 491              0x00,0x00,0x00,0x00,
 492              0x00,0x00,0x00,0x00 }},
 493 /* /20  */ {{ 0xff,0xff,0xf0,0x00,
 494              0x00,0x00,0x00,0x00,
 495              0x00,0x00,0x00,0x00,
 496              0x00,0x00,0x00,0x00 }},
 497 /* /21  */ {{ 0xff,0xff,0xf8,0x00,
 498              0x00,0x00,0x00,0x00,
 499              0x00,0x00,0x00,0x00,
 500              0x00,0x00,0x00,0x00 }},
 501 /* /22  */ {{ 0xff,0xff,0xfc,0x00,
 502              0x00,0x00,0x00,0x00,
 503              0x00,0x00,0x00,0x00,
 504              0x00,0x00,0x00,0x00 }},
 505 /* /23  */ {{ 0xff,0xff,0xfe,0x00,
 506              0x00,0x00,0x00,0x00,
 507              0x00,0x00,0x00,0x00,
 508              0x00,0x00,0x00,0x00 }},
 509 /* /24  */ {{ 0xff,0xff,0xff,0x00,
 510              0x00,0x00,0x00,0x00,
 511              0x00,0x00,0x00,0x00,
 512              0x00,0x00,0x00,0x00 }},
 513 /* /25  */ {{ 0xff,0xff,0xff,0x80,
 514              0x00,0x00,0x00,0x00,
 515              0x00,0x00,0x00,0x00,
 516              0x00,0x00,0x00,0x00 }},
 517 /* /26  */ {{ 0xff,0xff,0xff,0xc0,
 518              0x00,0x00,0x00,0x00,
 519              0x00,0x00,0x00,0x00,
 520              0x00,0x00,0x00,0x00 }},
 521 /* /27  */ {{ 0xff,0xff,0xff,0xe0,
 522              0x00,0x00,0x00,0x00,
 523              0x00,0x00,0x00,0x00,
 524              0x00,0x00,0x00,0x00 }},
 525 /* /28  */ {{ 0xff,0xff,0xff,0xf0,
 526              0x00,0x00,0x00,0x00,
 527              0x00,0x00,0x00,0x00,
 528              0x00,0x00,0x00,0x00 }},
 529 /* /29  */ {{ 0xff,0xff,0xff,0xf8,
 530              0x00,0x00,0x00,0x00,
 531              0x00,0x00,0x00,0x00,
 532              0x00,0x00,0x00,0x00 }},
 533 /* /30  */ {{ 0xff,0xff,0xff,0xfc,
 534              0x00,0x00,0x00,0x00,
 535              0x00,0x00,0x00,0x00,
 536              0x00,0x00,0x00,0x00 }},
 537 /* /31  */ {{ 0xff,0xff,0xff,0xfe,
 538              0x00,0x00,0x00,0x00,
 539              0x00,0x00,0x00,0x00,
 540              0x00,0x00,0x00,0x00 }},
 541 /* /32  */ {{ 0xff,0xff,0xff,0xff,
 542              0x00,0x00,0x00,0x00,
 543              0x00,0x00,0x00,0x00,
 544              0x00,0x00,0x00,0x00 }},
 545 /* /33  */ {{ 0xff,0xff,0xff,0xff,
 546              0x80,0x00,0x00,0x00,
 547              0x00,0x00,0x00,0x00,
 548              0x00,0x00,0x00,0x00 }},
 549 /* /34  */ {{ 0xff,0xff,0xff,0xff,
 550              0xc0,0x00,0x00,0x00,
 551              0x00,0x00,0x00,0x00,
 552              0x00,0x00,0x00,0x00 }},
 553 /* /35  */ {{ 0xff,0xff,0xff,0xff,
 554              0xe0,0x00,0x00,0x00,
 555              0x00,0x00,0x00,0x00,
 556              0x00,0x00,0x00,0x00 }},
 557 /* /36  */ {{ 0xff,0xff,0xff,0xff,
 558              0xf0,0x00,0x00,0x00,
 559              0x00,0x00,0x00,0x00,
 560              0x00,0x00,0x00,0x00 }},
 561 /* /37  */ {{ 0xff,0xff,0xff,0xff,
 562              0xf8,0x00,0x00,0x00,
 563              0x00,0x00,0x00,0x00,
 564              0x00,0x00,0x00,0x00 }},
 565 /* /38  */ {{ 0xff,0xff,0xff,0xff,
 566              0xfc,0x00,0x00,0x00,
 567              0x00,0x00,0x00,0x00,
 568              0x00,0x00,0x00,0x00 }},
 569 /* /39  */ {{ 0xff,0xff,0xff,0xff,
 570              0xfe,0x00,0x00,0x00,
 571              0x00,0x00,0x00,0x00,
 572              0x00,0x00,0x00,0x00 }},
 573 /* /40  */ {{ 0xff,0xff,0xff,0xff,
 574              0xff,0x00,0x00,0x00,
 575              0x00,0x00,0x00,0x00,
 576              0x00,0x00,0x00,0x00 }},
 577 /* /41  */ {{ 0xff,0xff,0xff,0xff,
 578              0xff,0x80,0x00,0x00,
 579              0x00,0x00,0x00,0x00,
 580              0x00,0x00,0x00,0x00 }},
 581 /* /42  */ {{ 0xff,0xff,0xff,0xff,
 582              0xff,0xc0,0x00,0x00,
 583              0x00,0x00,0x00,0x00,
 584              0x00,0x00,0x00,0x00 }},
 585 /* /43  */ {{ 0xff,0xff,0xff,0xff,
 586              0xff,0xe0,0x00,0x00,
 587              0x00,0x00,0x00,0x00,
 588              0x00,0x00,0x00,0x00 }},
 589 /* /44  */ {{ 0xff,0xff,0xff,0xff,
 590              0xff,0xf0,0x00,0x00,
 591              0x00,0x00,0x00,0x00,
 592              0x00,0x00,0x00,0x00 }},
 593 /* /45  */ {{ 0xff,0xff,0xff,0xff,
 594              0xff,0xf8,0x00,0x00,
 595              0x00,0x00,0x00,0x00,
 596              0x00,0x00,0x00,0x00 }},
 597 /* /46  */ {{ 0xff,0xff,0xff,0xff,
 598              0xff,0xfc,0x00,0x00,
 599              0x00,0x00,0x00,0x00,
 600              0x00,0x00,0x00,0x00 }},
 601 /* /47  */ {{ 0xff,0xff,0xff,0xff,
 602              0xff,0xfe,0x00,0x00,
 603              0x00,0x00,0x00,0x00,
 604              0x00,0x00,0x00,0x00 }},
 605 /* /48  */ {{ 0xff,0xff,0xff,0xff,
 606              0xff,0xff,0x00,0x00,
 607              0x00,0x00,0x00,0x00,
 608              0x00,0x00,0x00,0x00 }},
 609 /* /49  */ {{ 0xff,0xff,0xff,0xff,
 610              0xff,0xff,0x80,0x00,
 611              0x00,0x00,0x00,0x00,
 612              0x00,0x00,0x00,0x00 }},
 613 /* /50  */ {{ 0xff,0xff,0xff,0xff,
 614              0xff,0xff,0xc0,0x00,
 615              0x00,0x00,0x00,0x00,
 616              0x00,0x00,0x00,0x00 }},
 617 /* /51  */ {{ 0xff,0xff,0xff,0xff,
 618              0xff,0xff,0xe0,0x00,
 619              0x00,0x00,0x00,0x00,
 620              0x00,0x00,0x00,0x00 }},
 621 /* /52  */ {{ 0xff,0xff,0xff,0xff,
 622              0xff,0xff,0xf0,0x00,
 623              0x00,0x00,0x00,0x00,
 624              0x00,0x00,0x00,0x00 }},
 625 /* /53  */ {{ 0xff,0xff,0xff,0xff,
 626              0xff,0xff,0xf8,0x00,
 627              0x00,0x00,0x00,0x00,
 628              0x00,0x00,0x00,0x00 }},
 629 /* /54  */ {{ 0xff,0xff,0xff,0xff,
 630              0xff,0xff,0xfc,0x00,
 631              0x00,0x00,0x00,0x00,
 632              0x00,0x00,0x00,0x00 }},
 633 /* /55  */ {{ 0xff,0xff,0xff,0xff,
 634              0xff,0xff,0xfe,0x00,
 635              0x00,0x00,0x00,0x00,
 636              0x00,0x00,0x00,0x00 }},
 637 /* /56  */ {{ 0xff,0xff,0xff,0xff,
 638              0xff,0xff,0xff,0x00,
 639              0x00,0x00,0x00,0x00,
 640              0x00,0x00,0x00,0x00 }},
 641 /* /57  */ {{ 0xff,0xff,0xff,0xff,
 642              0xff,0xff,0xff,0x80,
 643              0x00,0x00,0x00,0x00,
 644              0x00,0x00,0x00,0x00 }},
 645 /* /58  */ {{ 0xff,0xff,0xff,0xff,
 646              0xff,0xff,0xff,0xc0,
 647              0x00,0x00,0x00,0x00,
 648              0x00,0x00,0x00,0x00 }},
 649 /* /59  */ {{ 0xff,0xff,0xff,0xff,
 650              0xff,0xff,0xff,0xe0,
 651              0x00,0x00,0x00,0x00,
 652              0x00,0x00,0x00,0x00 }},
 653 /* /60  */ {{ 0xff,0xff,0xff,0xff,
 654              0xff,0xff,0xff,0xf0,
 655              0x00,0x00,0x00,0x00,
 656              0x00,0x00,0x00,0x00 }},
 657 /* /61  */ {{ 0xff,0xff,0xff,0xff,
 658              0xff,0xff,0xff,0xf8,
 659              0x00,0x00,0x00,0x00,
 660              0x00,0x00,0x00,0x00 }},
 661 /* /62  */ {{ 0xff,0xff,0xff,0xff,
 662              0xff,0xff,0xff,0xfc,
 663              0x00,0x00,0x00,0x00,
 664              0x00,0x00,0x00,0x00 }},
 665 /* /63  */ {{ 0xff,0xff,0xff,0xff,
 666              0xff,0xff,0xff,0xfe,
 667              0x00,0x00,0x00,0x00,
 668              0x00,0x00,0x00,0x00 }},
 669 /* /64  */ {{ 0xff,0xff,0xff,0xff,
 670              0xff,0xff,0xff,0xff,
 671              0x00,0x00,0x00,0x00,
 672              0x00,0x00,0x00,0x00 }},
 673 /* /65  */ {{ 0xff,0xff,0xff,0xff,
 674              0xff,0xff,0xff,0xff,
 675              0x80,0x00,0x00,0x00,
 676              0x00,0x00,0x00,0x00 }},
 677 /* /66  */ {{ 0xff,0xff,0xff,0xff,
 678              0xff,0xff,0xff,0xff,
 679              0xc0,0x00,0x00,0x00,
 680              0x00,0x00,0x00,0x00 }},
 681 /* /67  */ {{ 0xff,0xff,0xff,0xff,
 682              0xff,0xff,0xff,0xff,
 683              0xe0,0x00,0x00,0x00,
 684              0x00,0x00,0x00,0x00 }},
 685 /* /68  */ {{ 0xff,0xff,0xff,0xff,
 686              0xff,0xff,0xff,0xff,
 687              0xf0,0x00,0x00,0x00,
 688              0x00,0x00,0x00,0x00 }},
 689 /* /69  */ {{ 0xff,0xff,0xff,0xff,
 690              0xff,0xff,0xff,0xff,
 691              0xf8,0x00,0x00,0x00,
 692              0x00,0x00,0x00,0x00 }},
 693 /* /70  */ {{ 0xff,0xff,0xff,0xff,
 694              0xff,0xff,0xff,0xff,
 695              0xfc,0x00,0x00,0x00,
 696              0x00,0x00,0x00,0x00 }},
 697 /* /71  */ {{ 0xff,0xff,0xff,0xff,
 698              0xff,0xff,0xff,0xff,
 699              0xfe,0x00,0x00,0x00,
 700              0x00,0x00,0x00,0x00 }},
 701 /* /72  */ {{ 0xff,0xff,0xff,0xff,
 702              0xff,0xff,0xff,0xff,
 703              0xff,0x00,0x00,0x00,
 704              0x00,0x00,0x00,0x00 }},
 705 /* /73  */ {{ 0xff,0xff,0xff,0xff,
 706              0xff,0xff,0xff,0xff,
 707              0xff,0x80,0x00,0x00,
 708              0x00,0x00,0x00,0x00 }},
 709 /* /74  */ {{ 0xff,0xff,0xff,0xff,
 710              0xff,0xff,0xff,0xff,
 711              0xff,0xc0,0x00,0x00,
 712              0x00,0x00,0x00,0x00 }},
 713 /* /75  */ {{ 0xff,0xff,0xff,0xff,
 714              0xff,0xff,0xff,0xff,
 715              0xff,0xe0,0x00,0x00,
 716              0x00,0x00,0x00,0x00 }},
 717 /* /76  */ {{ 0xff,0xff,0xff,0xff,
 718              0xff,0xff,0xff,0xff,
 719              0xff,0xf0,0x00,0x00,
 720              0x00,0x00,0x00,0x00 }},
 721 /* /77  */ {{ 0xff,0xff,0xff,0xff,
 722              0xff,0xff,0xff,0xff,
 723              0xff,0xf8,0x00,0x00,
 724              0x00,0x00,0x00,0x00 }},
 725 /* /78  */ {{ 0xff,0xff,0xff,0xff,
 726              0xff,0xff,0xff,0xff,
 727              0xff,0xfc,0x00,0x00,
 728              0x00,0x00,0x00,0x00 }},
 729 /* /79  */ {{ 0xff,0xff,0xff,0xff,
 730              0xff,0xff,0xff,0xff,
 731              0xff,0xfe,0x00,0x00,
 732              0x00,0x00,0x00,0x00 }},
 733 /* /80  */ {{ 0xff,0xff,0xff,0xff,
 734              0xff,0xff,0xff,0xff,
 735              0xff,0xff,0x00,0x00,
 736              0x00,0x00,0x00,0x00 }},
 737 /* /81  */ {{ 0xff,0xff,0xff,0xff,
 738              0xff,0xff,0xff,0xff,
 739              0xff,0xff,0x80,0x00,
 740              0x00,0x00,0x00,0x00 }},
 741 /* /82  */ {{ 0xff,0xff,0xff,0xff,
 742              0xff,0xff,0xff,0xff,
 743              0xff,0xff,0xc0,0x00,
 744              0x00,0x00,0x00,0x00 }},
 745 /* /83  */ {{ 0xff,0xff,0xff,0xff,
 746              0xff,0xff,0xff,0xff,
 747              0xff,0xff,0xe0,0x00,
 748              0x00,0x00,0x00,0x00 }},
 749 /* /84  */ {{ 0xff,0xff,0xff,0xff,
 750              0xff,0xff,0xff,0xff,
 751              0xff,0xff,0xf0,0x00,
 752              0x00,0x00,0x00,0x00 }},
 753 /* /85  */ {{ 0xff,0xff,0xff,0xff,
 754              0xff,0xff,0xff,0xff,
 755              0xff,0xff,0xf8,0x00,
 756              0x00,0x00,0x00,0x00 }},
 757 /* /86  */ {{ 0xff,0xff,0xff,0xff,
 758              0xff,0xff,0xff,0xff,
 759              0xff,0xff,0xfc,0x00,
 760              0x00,0x00,0x00,0x00 }},
 761 /* /87  */ {{ 0xff,0xff,0xff,0xff,
 762              0xff,0xff,0xff,0xff,
 763              0xff,0xff,0xfe,0x00,
 764              0x00,0x00,0x00,0x00 }},
 765 /* /88  */ {{ 0xff,0xff,0xff,0xff,
 766              0xff,0xff,0xff,0xff,
 767              0xff,0xff,0xff,0x00,
 768              0x00,0x00,0x00,0x00 }},
 769 /* /89  */ {{ 0xff,0xff,0xff,0xff,
 770              0xff,0xff,0xff,0xff,
 771              0xff,0xff,0xff,0x80,
 772              0x00,0x00,0x00,0x00 }},
 773 /* /90  */ {{ 0xff,0xff,0xff,0xff,
 774              0xff,0xff,0xff,0xff,
 775              0xff,0xff,0xff,0xc0,
 776              0x00,0x00,0x00,0x00 }},
 777 /* /91  */ {{ 0xff,0xff,0xff,0xff,
 778              0xff,0xff,0xff,0xff,
 779              0xff,0xff,0xff,0xe0,
 780              0x00,0x00,0x00,0x00 }},
 781 /* /92  */ {{ 0xff,0xff,0xff,0xff,
 782              0xff,0xff,0xff,0xff,
 783              0xff,0xff,0xff,0xf0,
 784              0x00,0x00,0x00,0x00 }},
 785 /* /93  */ {{ 0xff,0xff,0xff,0xff,
 786              0xff,0xff,0xff,0xff,
 787              0xff,0xff,0xff,0xf8,
 788              0x00,0x00,0x00,0x00 }},
 789 /* /94  */ {{ 0xff,0xff,0xff,0xff,
 790              0xff,0xff,0xff,0xff,
 791              0xff,0xff,0xff,0xfc,
 792              0x00,0x00,0x00,0x00 }},
 793 /* /95  */ {{ 0xff,0xff,0xff,0xff,
 794              0xff,0xff,0xff,0xff,
 795              0xff,0xff,0xff,0xfe,
 796              0x00,0x00,0x00,0x00 }},
 797 /* /96  */ {{ 0xff,0xff,0xff,0xff,
 798              0xff,0xff,0xff,0xff,
 799              0xff,0xff,0xff,0xff,
 800              0x00,0x00,0x00,0x00 }},
 801 /* /97  */ {{ 0xff,0xff,0xff,0xff,
 802              0xff,0xff,0xff,0xff,
 803              0xff,0xff,0xff,0xff,
 804              0x80,0x00,0x00,0x00 }},
 805 /* /98  */ {{ 0xff,0xff,0xff,0xff,
 806              0xff,0xff,0xff,0xff,
 807              0xff,0xff,0xff,0xff,
 808              0xc0,0x00,0x00,0x00 }},
 809 /* /99  */ {{ 0xff,0xff,0xff,0xff,
 810              0xff,0xff,0xff,0xff,
 811              0xff,0xff,0xff,0xff,
 812              0xe0,0x00,0x00,0x00 }},
 813 /* /100 */ {{ 0xff,0xff,0xff,0xff,
 814              0xff,0xff,0xff,0xff,
 815              0xff,0xff,0xff,0xff,
 816              0xf0,0x00,0x00,0x00 }},
 817 /* /101 */ {{ 0xff,0xff,0xff,0xff,
 818              0xff,0xff,0xff,0xff,
 819              0xff,0xff,0xff,0xff,
 820              0xf8,0x00,0x00,0x00 }},
 821 /* /102 */ {{ 0xff,0xff,0xff,0xff,
 822              0xff,0xff,0xff,0xff,
 823              0xff,0xff,0xff,0xff,
 824              0xfc,0x00,0x00,0x00 }},
 825 /* /103 */ {{ 0xff,0xff,0xff,0xff,
 826              0xff,0xff,0xff,0xff,
 827              0xff,0xff,0xff,0xff,
 828              0xfe,0x00,0x00,0x00 }},
 829 /* /104 */ {{ 0xff,0xff,0xff,0xff,
 830              0xff,0xff,0xff,0xff,
 831              0xff,0xff,0xff,0xff,
 832              0xff,0x00,0x00,0x00 }},
 833 /* /105 */ {{ 0xff,0xff,0xff,0xff,
 834              0xff,0xff,0xff,0xff,
 835              0xff,0xff,0xff,0xff,
 836              0xff,0x80,0x00,0x00 }},
 837 /* /106 */ {{ 0xff,0xff,0xff,0xff,
 838              0xff,0xff,0xff,0xff,
 839              0xff,0xff,0xff,0xff,
 840              0xff,0xc0,0x00,0x00 }},
 841 /* /107 */ {{ 0xff,0xff,0xff,0xff,
 842              0xff,0xff,0xff,0xff,
 843              0xff,0xff,0xff,0xff,
 844              0xff,0xe0,0x00,0x00 }},
 845 /* /108 */ {{ 0xff,0xff,0xff,0xff,
 846              0xff,0xff,0xff,0xff,
 847              0xff,0xff,0xff,0xff,
 848              0xff,0xf0,0x00,0x00 }},
 849 /* /109 */ {{ 0xff,0xff,0xff,0xff,
 850              0xff,0xff,0xff,0xff,
 851              0xff,0xff,0xff,0xff,
 852              0xff,0xf8,0x00,0x00 }},
 853 /* /110 */ {{ 0xff,0xff,0xff,0xff,
 854              0xff,0xff,0xff,0xff,
 855              0xff,0xff,0xff,0xff,
 856              0xff,0xfc,0x00,0x00 }},
 857 /* /111 */ {{ 0xff,0xff,0xff,0xff,
 858              0xff,0xff,0xff,0xff,
 859              0xff,0xff,0xff,0xff,
 860              0xff,0xfe,0x00,0x00 }},
 861 /* /112 */ {{ 0xff,0xff,0xff,0xff,
 862              0xff,0xff,0xff,0xff,
 863              0xff,0xff,0xff,0xff,
 864              0xff,0xff,0x00,0x00 }},
 865 /* /113 */ {{ 0xff,0xff,0xff,0xff,
 866              0xff,0xff,0xff,0xff,
 867              0xff,0xff,0xff,0xff,
 868              0xff,0xff,0x80,0x00 }},
 869 /* /114 */ {{ 0xff,0xff,0xff,0xff,
 870              0xff,0xff,0xff,0xff,
 871              0xff,0xff,0xff,0xff,
 872              0xff,0xff,0xc0,0x00 }},
 873 /* /115 */ {{ 0xff,0xff,0xff,0xff,
 874              0xff,0xff,0xff,0xff,
 875              0xff,0xff,0xff,0xff,
 876              0xff,0xff,0xe0,0x00 }},
 877 /* /116 */ {{ 0xff,0xff,0xff,0xff,
 878              0xff,0xff,0xff,0xff,
 879              0xff,0xff,0xff,0xff,
 880              0xff,0xff,0xf0,0x00 }},
 881 /* /117 */ {{ 0xff,0xff,0xff,0xff,
 882              0xff,0xff,0xff,0xff,
 883              0xff,0xff,0xff,0xff,
 884              0xff,0xff,0xf8,0x00 }},
 885 /* /118 */ {{ 0xff,0xff,0xff,0xff,
 886              0xff,0xff,0xff,0xff,
 887              0xff,0xff,0xff,0xff,
 888              0xff,0xff,0xfc,0x00 }},
 889 /* /119 */ {{ 0xff,0xff,0xff,0xff,
 890              0xff,0xff,0xff,0xff,
 891              0xff,0xff,0xff,0xff,
 892              0xff,0xff,0xfe,0x00 }},
 893 /* /120 */ {{ 0xff,0xff,0xff,0xff,
 894              0xff,0xff,0xff,0xff,
 895              0xff,0xff,0xff,0xff,
 896              0xff,0xff,0xff,0x00 }},
 897 /* /121 */ {{ 0xff,0xff,0xff,0xff,
 898              0xff,0xff,0xff,0xff,
 899              0xff,0xff,0xff,0xff,
 900              0xff,0xff,0xff,0x80 }},
 901 /* /122 */ {{ 0xff,0xff,0xff,0xff,
 902              0xff,0xff,0xff,0xff,
 903              0xff,0xff,0xff,0xff,
 904              0xff,0xff,0xff,0xc0 }},
 905 /* /123 */ {{ 0xff,0xff,0xff,0xff,
 906              0xff,0xff,0xff,0xff,
 907              0xff,0xff,0xff,0xff,
 908              0xff,0xff,0xff,0xe0 }},
 909 /* /124 */ {{ 0xff,0xff,0xff,0xff,
 910              0xff,0xff,0xff,0xff,
 911              0xff,0xff,0xff,0xff,
 912              0xff,0xff,0xff,0xf0 }},
 913 /* /125 */ {{ 0xff,0xff,0xff,0xff,
 914              0xff,0xff,0xff,0xff,
 915              0xff,0xff,0xff,0xff,
 916              0xff,0xff,0xff,0xf8 }},
 917 /* /126 */ {{ 0xff,0xff,0xff,0xff,
 918              0xff,0xff,0xff,0xff,
 919              0xff,0xff,0xff,0xff,
 920              0xff,0xff,0xff,0xfc }},
 921 /* /127 */ {{ 0xff,0xff,0xff,0xff,
 922              0xff,0xff,0xff,0xff,
 923              0xff,0xff,0xff,0xff,
 924              0xff,0xff,0xff,0xfe }},
 925 /* /128 */ {{ 0xff,0xff,0xff,0xff,
 926              0xff,0xff,0xff,0xff,
 927              0xff,0xff,0xff,0xff,
 928              0xff,0xff,0xff,0xff }},
 929 }};
 930
 931 } // folly