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authorGravatar Jisi Liu <jisi.liu@gmail.com>2015-08-21 11:18:45 -0700
committerGravatar Jisi Liu <jisi.liu@gmail.com>2015-08-21 11:18:45 -0700
commitb0f661181d10bddc08e380992590a1cdd92be92b (patch)
treed9291cf324a72206ae3e474fe49186e8c96b2a9e /src/google/protobuf/stubs/int128.cc
parentd119a275495b7dcc9c389c9c650ebd83de265511 (diff)
Down-integrate from internal branch.
Change-Id: Ieb7a2c2fbf35bc2a8fa65b915a5ecb68c83863e4
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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.
+
+#include <google/protobuf/stubs/int128.h>
+
+#include <iomanip>
+#include <iostream> // NOLINT(readability/streams)
+#include <sstream>
+
+namespace google {
+namespace protobuf {
+
+const uint128_pod kuint128max = {
+ static_cast<uint64>(GOOGLE_LONGLONG(0xFFFFFFFFFFFFFFFF)),
+ static_cast<uint64>(GOOGLE_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<T>(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 + ((GOOGLE_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));
+}
+
+// Long division/modulo for uint128 implemented using the shift-subtract
+// division algorithm adapted from:
+// http://stackoverflow.com/questions/5386377/division-without-using
+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_;
+ }
+
+ if (divisor > dividend) {
+ *quotient_ret = 0;
+ *remainder_ret = dividend;
+ return;
+ }
+
+ if (divisor == dividend) {
+ *quotient_ret = 1;
+ *remainder_ret = 0;
+ return;
+ }
+
+ uint128 denominator = divisor;
+ uint128 position = 1;
+ uint128 quotient = 0;
+
+ // Left aligns the MSB of the denominator and the dividend.
+ int shift = Fls128(dividend) - Fls128(denominator);
+ denominator <<= shift;
+ position <<= shift;
+
+ // Uses shift-subtract algorithm to divide dividend by denominator. The
+ // remainder will be left in dividend.
+ while (position > 0) {
+ if (dividend >= denominator) {
+ dividend -= denominator;
+ quotient |= position;
+ }
+ position >>= 1;
+ denominator >>= 1;
+ }
+
+ *quotient_ret = quotient;
+ *remainder_ret = dividend;
+}
+
+uint128& uint128::operator/=(const uint128& divisor) {
+ uint128 quotient = 0;
+ uint128 remainder = 0;
+ DivModImpl(*this, divisor, &quotient, &remainder);
+ *this = quotient;
+ return *this;
+}
+uint128& uint128::operator%=(const uint128& divisor) {
+ uint128 quotient = 0;
+ uint128 remainder = 0;
+ DivModImpl(*this, divisor, &quotient, &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 = GOOGLE_ULONGLONG(0x1000000000000000); // 16^15
+ div_base_log = 15;
+ break;
+ case std::ios::oct:
+ div = GOOGLE_ULONGLONG(01000000000000000000000); // 8^21
+ div_base_log = 21;
+ break;
+ default: // std::ios::dec
+ div = GOOGLE_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(0, width - rep.size(), o.fill());
+ }
+ }
+
+ // Stream the final representation in a single "<<" call.
+ return o << rep;
+}
+
+} // namespace protobuf
+} // namespace google