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// 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. | |
namespace google { | |
namespace protobuf { | |
const uint128_pod kuint128max = { | |
static_cast<uint64>(PROTOBUF_LONGLONG(0xFFFFFFFFFFFFFFFF)), | |
static_cast<uint64>(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 | |
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); | |
} | |
// 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<uint64>(PROTOBUF_ULONGLONG(0x1000000000000000)); // 16^15 | |
div_base_log = 15; | |
break; | |
case std::ios::oct: | |
div = static_cast<uint64>( | |
PROTOBUF_ULONGLONG(01000000000000000000000)); // 8^21 | |
div_base_log = 21; | |
break; | |
default: // std::ios::dec | |
div = static_cast<uint64>( | |
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<std::string::size_type>(0), | |
width - rep.size(), o.fill()); | |
} | |
} | |
// Stream the final representation in a single "<<" call. | |
return o << rep; | |
} | |
} // namespace protobuf | |
} // namespace google | |