// Protocol Buffers - Google's data interchange format // Copyright 2008 Google Inc. All rights reserved. // https://developers.google.com/protocol-buffers/ // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following disclaimer // in the documentation and/or other materials provided with the // distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived from // this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. #include #include #include // NOLINT(readability/streams) #include #include #include namespace google { namespace protobuf { const uint128_pod kuint128max = { static_cast(PROTOBUF_LONGLONG(0xFFFFFFFFFFFFFFFF)), static_cast(PROTOBUF_LONGLONG(0xFFFFFFFFFFFFFFFF)) }; // Returns the 0-based position of the last set bit (i.e., most significant bit) // in the given uint64. The argument may not be 0. // // For example: // Given: 5 (decimal) == 101 (binary) // Returns: 2 #define STEP(T, n, pos, sh) \ do { \ if ((n) >= (static_cast(1) << (sh))) { \ (n) = (n) >> (sh); \ (pos) |= (sh); \ } \ } while (0) static inline int Fls64(uint64 n) { GOOGLE_DCHECK_NE(0, n); int pos = 0; STEP(uint64, n, pos, 0x20); uint32 n32 = n; STEP(uint32, n32, pos, 0x10); STEP(uint32, n32, pos, 0x08); STEP(uint32, n32, pos, 0x04); return pos + ((PROTOBUF_ULONGLONG(0x3333333322221100) >> (n32 << 2)) & 0x3); } #undef STEP // Like Fls64() above, but returns the 0-based position of the last set bit // (i.e., most significant bit) in the given uint128. The argument may not be 0. static inline int Fls128(uint128 n) { if (uint64 hi = Uint128High64(n)) { return Fls64(hi) + 64; } return Fls64(Uint128Low64(n)); } void uint128::DivModImpl(uint128 dividend, uint128 divisor, uint128* quotient_ret, uint128* remainder_ret) { if (divisor == 0) { GOOGLE_LOG(FATAL) << "Division or mod by zero: dividend.hi=" << dividend.hi_ << ", lo=" << dividend.lo_; } else if (dividend < divisor) { *quotient_ret = 0; *remainder_ret = dividend; return; } else { int dividend_bit_length = Fls128(dividend); int divisor_bit_length = Fls128(divisor); int difference = dividend_bit_length - divisor_bit_length; uint128 quotient = 0; while (difference >= 0) { quotient <<= 1; uint128 shifted_divisor = divisor << difference; if (shifted_divisor <= dividend) { dividend -= shifted_divisor; quotient += 1; } difference -= 1; } //record the final quotient and remainder *quotient_ret = quotient; *remainder_ret = dividend; } } uint128& uint128::operator/=(const uint128& divisor) { uint128 quotient = 0; uint128 remainder = 0; DivModImpl(*this, divisor, "ient, &remainder); *this = quotient; return *this; } uint128& uint128::operator%=(const uint128& divisor) { uint128 quotient = 0; uint128 remainder = 0; DivModImpl(*this, divisor, "ient, &remainder); *this = remainder; return *this; } std::ostream& operator<<(std::ostream& o, const uint128& b) { std::ios_base::fmtflags flags = o.flags(); // Select a divisor which is the largest power of the base < 2^64. uint128 div; std::streamsize div_base_log; switch (flags & std::ios::basefield) { case std::ios::hex: div = static_cast(PROTOBUF_ULONGLONG(0x1000000000000000)); // 16^15 div_base_log = 15; break; case std::ios::oct: div = static_cast( PROTOBUF_ULONGLONG(01000000000000000000000)); // 8^21 div_base_log = 21; break; default: // std::ios::dec div = static_cast( PROTOBUF_ULONGLONG(10000000000000000000)); // 10^19 div_base_log = 19; break; } // Now piece together the uint128 representation from three chunks of // the original value, each less than "div" and therefore representable // as a uint64. std::ostringstream os; std::ios_base::fmtflags copy_mask = std::ios::basefield | std::ios::showbase | std::ios::uppercase; os.setf(flags & copy_mask, copy_mask); uint128 high = b; uint128 low; uint128::DivModImpl(high, div, &high, &low); uint128 mid; uint128::DivModImpl(high, div, &high, &mid); if (high.lo_ != 0) { os << high.lo_; os << std::noshowbase << std::setfill('0') << std::setw(div_base_log); os << mid.lo_; os << std::setw(div_base_log); } else if (mid.lo_ != 0) { os << mid.lo_; os << std::noshowbase << std::setfill('0') << std::setw(div_base_log); } os << low.lo_; std::string rep = os.str(); // Add the requisite padding. std::streamsize width = o.width(0); if (width > rep.size()) { if ((flags & std::ios::adjustfield) == std::ios::left) { rep.append(width - rep.size(), o.fill()); } else { rep.insert(static_cast(0), width - rep.size(), o.fill()); } } // Stream the final representation in a single "<<" call. return o << rep; } } // namespace protobuf } // namespace google