src/simulator/high-precision-128.cc
author Florian Westphal <fw@strlen.de>
Wed, 03 Sep 2008 23:24:59 +0200
changeset 3595 693faf7f4e9b
parent 1696 0de65f4c8c43
child 4046 607136a642c3
permissions -rw-r--r--
nsc: Fix build problem if gtk config store is disabled gtk config store pulled in libdl.so for us, so things fail to link of the config store isn't enabled. This makes nsc pull in libdl itself when its enabled.
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/* -*- Mode:C++; c-file-style:"gnu"; indent-tabs-mode:nil; -*- */
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/*
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 * Copyright (c) 2006 INRIA
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 *
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 * This program is free software; you can redistribute it and/or modify
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 * it under the terms of the GNU General Public License version 2 as
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 * published by the Free Software Foundation;
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 *
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 * This program is distributed in the hope that it will be useful,
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 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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 * GNU General Public License for more details.
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 *
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 * You should have received a copy of the GNU General Public License
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 * along with this program; if not, write to the Free Software
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 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
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 *
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 * Author: Mathieu Lacage <mathieu.lacage@sophia.inria.fr>
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 */
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#include "high-precision-128.h"
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#include <math.h>
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#include <iostream>
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namespace ns3 {
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#ifdef GATHER_STATISTICS
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int HighPrecision::m_nfastadds = 0;
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int HighPrecision::m_nfastsubs = 0;
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int HighPrecision::m_nfastmuls = 0;
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int HighPrecision::m_nfastcmps = 0;
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int HighPrecision::m_nfastgets = 0;
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int HighPrecision::m_nslowadds = 0;
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int HighPrecision::m_nslowsubs = 0;
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int HighPrecision::m_nslowmuls = 0;
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int HighPrecision::m_nslowcmps = 0;
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int HighPrecision::m_nslowgets = 0;
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int HighPrecision::m_ndivs = 0;
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int HighPrecision::m_nconversions = 0;
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void 
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HighPrecision::PrintStats (void)
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{
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  double nadds = m_nfastadds + m_nslowadds;
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  double nsubs = m_nfastsubs + m_nslowsubs;
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  double ncmps = m_nfastcmps + m_nslowcmps;
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  double nmuls = m_nfastmuls + m_nslowmuls;
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  double ngets = m_nfastgets + m_nslowgets;
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  double fast_add_ratio = m_nfastadds / nadds;
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  double fast_sub_ratio = m_nfastsubs / nsubs;
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  double fast_cmp_ratio = m_nfastcmps / ncmps;
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  double fast_mul_ratio = m_nfastmuls / nmuls;
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  double fast_get_ratio = m_nfastgets / ngets;
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  std::cout <<
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    "add="<<fast_add_ratio<<std::endl<<
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    "sub="<<fast_sub_ratio<<std::endl<<
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    "cmp="<<fast_cmp_ratio<<std::endl<<
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    "mul="<<fast_mul_ratio<<std::endl<<
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    "get="<<fast_get_ratio<<std::endl<<
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    "nadds="<<nadds<<std::endl<<
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    "nsubs="<<nsubs<<std::endl<<
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    "ncmps="<<ncmps<<std::endl<<
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    "nmuls="<<nmuls<<std::endl<<
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    "ngets="<<ngets<<std::endl<<
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    "ndivs="<<m_ndivs<<std::endl<<
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    "nconversions="<<m_nconversions<<std::endl
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    ;
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}
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#else
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void 
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HighPrecision::PrintStats (void)
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{}
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#endif /* GATHER_STATISTICS */
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const double HighPrecision::MAX_64 = 18446744073709551615.0;
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HighPrecision::HighPrecision (double value)
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{
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  int64_t hi = (int64_t) floor (value);
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  uint64_t lo = (uint64_t) ((value - floor (value)) * MAX_64);
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  if (lo == 0)
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    {
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      m_isFast = true;
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      m_fastValue = hi;
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      return;
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    }
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  else
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    {
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      m_isFast = false;
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      m_slowValue = _cairo_int64_to_int128 (hi);
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      m_slowValue = _cairo_int128_lsl (m_slowValue, 64);
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      cairo_int128_t clo = _cairo_uint128_to_int128 (_cairo_uint64_to_uint128 (lo));
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      m_slowValue = _cairo_int128_add (m_slowValue, clo);
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    }
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}
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void
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HighPrecision::EnsureSlow (void)
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{
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  if (m_isFast)
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    {
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      HP128INC (m_nconversions++);
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      m_slowValue = _cairo_int64_to_int128 (m_fastValue);
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      m_slowValue = _cairo_int128_lsl (m_slowValue, 64);
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      m_isFast = false;
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    }
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}
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int64_t
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HighPrecision::SlowGetInteger (void) const
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{
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  cairo_int128_t value = _cairo_int128_rsa (m_slowValue, 64);
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  return _cairo_int128_to_int64 (value);
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}
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double 
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HighPrecision::SlowGetDouble (void) const
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{
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  bool is_negative = _cairo_int128_negative (m_slowValue);
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  cairo_int128_t value = is_negative?_cairo_int128_negate (m_slowValue):m_slowValue;
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  cairo_int128_t hi = _cairo_int128_rsa (value, 64);
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  cairo_uint128_t lo = _cairo_int128_sub (value, _cairo_uint128_lsl (hi, 64));
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  double flo = _cairo_uint128_to_uint64 (lo);
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  flo /= MAX_64;
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  double retval = _cairo_uint128_to_uint64 (hi);
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  retval += flo;
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  retval *= is_negative?-1.0:1.0;
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  return retval;
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}
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bool 
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HighPrecision::SlowAdd (HighPrecision const &o)
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{
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  EnsureSlow ();
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  const_cast<HighPrecision &> (o).EnsureSlow ();
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  m_slowValue = _cairo_int128_add (m_slowValue, o.m_slowValue);
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  return false;
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}
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bool 
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HighPrecision::SlowSub (HighPrecision const &o)
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{
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  EnsureSlow ();
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  const_cast<HighPrecision &> (o).EnsureSlow ();
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  m_slowValue = _cairo_int128_sub (m_slowValue, o.m_slowValue);
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  return false;
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}
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bool 
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HighPrecision::SlowMul (HighPrecision const &o)
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{
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  EnsureSlow ();
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  const_cast<HighPrecision &> (o).EnsureSlow ();
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  cairo_int128_t other = _cairo_int128_rsa (o.m_slowValue, 64);
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  m_slowValue = _cairo_int128_mul (m_slowValue, other);
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  return false;
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}
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bool 
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HighPrecision::Div (HighPrecision const &o)
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{
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  HP128INC (m_ndivs++);
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  EnsureSlow ();
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  const_cast<HighPrecision &> (o).EnsureSlow ();
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  cairo_int128_t div = _cairo_int128_rsa (o.m_slowValue, 64);
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  cairo_quorem128_t qr;
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  qr = _cairo_int128_divrem (m_slowValue, div);
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  m_slowValue = qr.quo;
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  return false;
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}
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int 
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HighPrecision::SlowCompare (HighPrecision const &o) const
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{
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  const_cast<HighPrecision *> (this)->EnsureSlow ();
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  const_cast<HighPrecision &> (o).EnsureSlow ();
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  if (_cairo_int128_lt (m_slowValue, o.m_slowValue))
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    {
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      return -1;
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    }
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  else if (_cairo_int128_eq (m_slowValue, o.m_slowValue))
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    {
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      return 0;
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    }
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  else
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    {
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      return 1;
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    }
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}
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}; // namespace ns3
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#ifdef RUN_SELF_TESTS
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#include "ns3/test.h"
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namespace ns3 {
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class HighPrecision128Tests : public Test
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{
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public:
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  HighPrecision128Tests ();
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  virtual ~HighPrecision128Tests ();
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  virtual bool RunTests (void);
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};
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HighPrecision128Tests::HighPrecision128Tests ()
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  : Test ("Int128")
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{}
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HighPrecision128Tests::~HighPrecision128Tests ()
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{}
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#define CHECK_EXPECTED(v,expected) \
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{ \
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  if (v.GetInteger () != expected) \
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    { \
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      Failure () << "file="<<__FILE__<<", line="<<__LINE__<<", expected: "<<expected<<", got: "<< v.GetInteger ()<<std::endl; \
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      ok = false; \
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    } \
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}
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#define V(v) \
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  HighPrecision (v, false)
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bool
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HighPrecision128Tests::RunTests (void)
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{
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  bool ok = true;
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  HighPrecision a, b;
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  a = HighPrecision (1, false);
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  b = HighPrecision (1, false);
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  a.Sub (b);
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  CHECK_EXPECTED (a, 0);
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  a = V (1);
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  a.Sub (V(2));
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  CHECK_EXPECTED (a, -1);
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  a = V (1);
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  a.Sub (V(3));
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  CHECK_EXPECTED (a, -2);
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  a = V (1);
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  a.Sub (V(-1));
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  CHECK_EXPECTED (a, 2);
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  a = V (1);
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  a.Sub (V(-2));
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  CHECK_EXPECTED (a, 3);
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  a = V (-3);
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  a.Sub (V(-4));
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  CHECK_EXPECTED (a, 1);
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  a = V (-2);
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  a.Sub (V(3));
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  CHECK_EXPECTED (a, -5);
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  a = V (1);
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  a.Add (V(2));
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  CHECK_EXPECTED (a, 3);
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  a = V (1);
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  a.Add (V(-3));
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  CHECK_EXPECTED (a, -2);
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  a = V (0);
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  a.Add (V(0));
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  CHECK_EXPECTED (a, 0);
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  a = V (0);
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  a.Mul (V(0));
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  CHECK_EXPECTED (a, 0);
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  a = V (0);
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  a.Mul (V(1));
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  CHECK_EXPECTED (a, 0);
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  a = V (0);
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  a.Mul (V(-1));
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  CHECK_EXPECTED (a, 0);
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  a = V (1);
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  a.Mul (V(0));
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  CHECK_EXPECTED (a, 0);
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  a = V (1);
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  a.Mul (V(1));
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  CHECK_EXPECTED (a, 1);
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  a = V (1);
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  a.Mul (V(-1));
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  CHECK_EXPECTED (a, -1);
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  a = V (-1);
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  a.Mul (V(-1));
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  CHECK_EXPECTED (a, 1);
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  a = V (0);
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  a.Mul (V(1));
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  CHECK_EXPECTED (a, 0);
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  a = V (0);
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  a.Mul (V(-1));
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  CHECK_EXPECTED (a, 0);
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   298
  a = V (1);
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  a.Mul (V(1));
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  CHECK_EXPECTED (a, 1);
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  a = V (1);
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  a.Mul (V(-1));
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   303
  CHECK_EXPECTED (a, -1);
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   304
  a = V (-1);
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parents: 175
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   305
  a.Mul (V(1));
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parents: 175
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   306
  CHECK_EXPECTED (a, -1);
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parents: 175
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   307
  a = V (-1);
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   308
  a.Mul (V(-1));
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parents: 175
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   309
  CHECK_EXPECTED (a, 1);
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parents: 175
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   310
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parents: 175
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   311
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parents: 175
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   312
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  a = V (2);
178
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   314
  a.Mul (V(3));
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   315
  a.Div (V(3));
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   316
  CHECK_EXPECTED (a, 2);
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   317
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   318
  // Below, the division loses precision because 2/3 is not
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   319
  // representable exactly in 64.64 integers. So, we got
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   320
  // something super close but the final rounding kills us.
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   321
  a = V (2);
177
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parents: 175
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   322
  a.Div (V(3));
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Mathieu Lacage <mathieu.lacage@sophia.inria.fr>
parents: 175
diff changeset
   323
  a.Mul (V(3));
178
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parents: 177
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   324
  CHECK_EXPECTED (a, 1);
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parents: 177
diff changeset
   325
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   326
  // The example below shows that we really do not lose
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diff changeset
   327
  // much precision internally: it is almost always the
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   328
  // final conversion which loses precision.
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   329
  a = V (2000000000);
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diff changeset
   330
  a.Div (V(3));
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parents: 177
diff changeset
   331
  a.Mul (V(3));
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   332
  CHECK_EXPECTED (a, 1999999999);
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parents: 177
diff changeset
   333
  
177
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parents: 175
diff changeset
   334
9ba1bf880c55 a bunch of tests
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parents: 175
diff changeset
   335
9ba1bf880c55 a bunch of tests
Mathieu Lacage <mathieu.lacage@sophia.inria.fr>
parents: 175
diff changeset
   336
9ba1bf880c55 a bunch of tests
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parents: 175
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   337
  return ok;
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parents: 175
diff changeset
   338
}
9ba1bf880c55 a bunch of tests
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parents: 175
diff changeset
   339
214
ac309a63f850 optimize Time arithmetic operations.
Mathieu Lacage <mathieu.lacage@sophia.inria.fr>
parents: 178
diff changeset
   340
static HighPrecision128Tests g_int128Tests;
177
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parents: 175
diff changeset
   341
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parents: 175
diff changeset
   342
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parents: 175
diff changeset
   343
}; // namespace ns3
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diff changeset
   344
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parents: 175
diff changeset
   345
#endif /* RUN_SELF_TESTS */