crude sophus interpolation benchmark

README.md

BenchTimer.h basically borrowed from eigen source.

g++ -Wall -Wextra -march=native -DNDEBUG -O3 -std=c++11 -isystem $EIGEN_ROOT -isystem $SOPHUS_ROOT se3d_vs_sim3d.cc && ./a.out

se3d interp 2397.83ms 20852.180785 interpolations/s

sim3d interp 36.122524ms 1384177.916250 interpolations/s

BenchTimer.h

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

#ifndef EIGEN_BENCH_TIMERR_H
#define EIGEN_BENCH_TIMERR_H

#if defined(_WIN32) || defined(__CYGWIN__)
# ifndef NOMINMAX
#   define NOMINMAX
#   define EIGEN_BT_UNDEF_NOMINMAX
# endif
# ifndef WIN32_LEAN_AND_MEAN
#   define WIN32_LEAN_AND_MEAN
#   define EIGEN_BT_UNDEF_WIN32_LEAN_AND_MEAN
# endif
# include <windows.h>
#elif defined(__APPLE__)
#include <mach/mach_time.h>
#else
# include <unistd.h>
#endif

static void clobber() {
  asm volatile("" : : : "memory");
}

#include <Eigen/Core>

namespace Eigen
{

enum {
  CPU_TIMER = 0,
  REAL_TIMER = 1
};

/** Elapsed time timer keeping the best try.
  *
  * On POSIX platforms we use clock_gettime with CLOCK_PROCESS_CPUTIME_ID.
  * On Windows we use QueryPerformanceCounter
  *
  * Important: on linux, you must link with -lrt
  */
class BenchTimer
{
public:

  BenchTimer()
  {
#if defined(_WIN32) || defined(__CYGWIN__)
    LARGE_INTEGER freq;
    QueryPerformanceFrequency(&freq);
    m_frequency = (double)freq.QuadPart;
#endif
    reset();
  }

  ~BenchTimer() {}

  inline void reset()
  {
    m_bests.fill(1e9);
    m_worsts.fill(0);
    m_totals.setZero();
  }
  inline void start()
  {
    m_starts[CPU_TIMER]  = getCpuTime();
    m_starts[REAL_TIMER] = getRealTime();
  }
  inline void stop()
  {
    m_times[CPU_TIMER] = getCpuTime() - m_starts[CPU_TIMER];
    m_times[REAL_TIMER] = getRealTime() - m_starts[REAL_TIMER];
    #if EIGEN_VERSION_AT_LEAST(2,90,0)
    m_bests = m_bests.cwiseMin(m_times);
    m_worsts = m_worsts.cwiseMax(m_times);
    #else
    m_bests(0) = std::min(m_bests(0),m_times(0));
    m_bests(1) = std::min(m_bests(1),m_times(1));
    m_worsts(0) = std::max(m_worsts(0),m_times(0));
    m_worsts(1) = std::max(m_worsts(1),m_times(1));
    #endif
    m_totals += m_times;
  }

  /** Return the elapsed time in seconds between the last start/stop pair
    */
  inline double value(int TIMER = CPU_TIMER) const
  {
    return m_times[TIMER];
  }

  /** Return the best elapsed time in seconds
    */
  inline double best(int TIMER = CPU_TIMER) const
  {
    return m_bests[TIMER];
  }

  /** Return the worst elapsed time in seconds
    */
  inline double worst(int TIMER = CPU_TIMER) const
  {
    return m_worsts[TIMER];
  }

  /** Return the total elapsed time in seconds.
    */
  inline double total(int TIMER = CPU_TIMER) const
  {
    return m_totals[TIMER];
  }

  inline double getCpuTime() const
  {
#ifdef _WIN32
    LARGE_INTEGER query_ticks;
    QueryPerformanceCounter(&query_ticks);
    return query_ticks.QuadPart/m_frequency;
#elif __APPLE__
    return double(mach_absolute_time())*1e-9;
#else
    timespec ts;
    clock_gettime(CLOCK_PROCESS_CPUTIME_ID, &ts);
    return double(ts.tv_sec) + 1e-9 * double(ts.tv_nsec);
#endif
  }

  inline double getRealTime() const
  {
#ifdef _WIN32
    SYSTEMTIME st;
    GetSystemTime(&st);
    return (double)st.wSecond + 1.e-3 * (double)st.wMilliseconds;
#elif __APPLE__
    return double(mach_absolute_time())*1e-9;
#else
    timespec ts;
    clock_gettime(CLOCK_REALTIME, &ts);
    return double(ts.tv_sec) + 1e-9 * double(ts.tv_nsec);
#endif
  }

protected:
#if defined(_WIN32) || defined(__CYGWIN__)
  double m_frequency;
#endif
  Vector2d m_starts;
  Vector2d m_times;
  Vector2d m_bests;
  Vector2d m_worsts;
  Vector2d m_totals;

public:
  EIGEN_MAKE_ALIGNED_OPERATOR_NEW
};

#define BENCH(TIMER,TRIES,REP,CODE) { \
    TIMER.reset(); \
    for(int uglyvarname1=0; uglyvarname1<TRIES; ++uglyvarname1){ \
      TIMER.start(); \
      for(int uglyvarname2=0; uglyvarname2<REP; ++uglyvarname2){ \
        CODE; \
      } \
      TIMER.stop(); \
      clobber(); \
    } \
  }

}

// clean #defined tokens
#ifdef EIGEN_BT_UNDEF_NOMINMAX
# undef EIGEN_BT_UNDEF_NOMINMAX
# undef NOMINMAX
#endif

#ifdef EIGEN_BT_UNDEF_WIN32_LEAN_AND_MEAN
# undef EIGEN_BT_UNDEF_WIN32_LEAN_AND_MEAN
# undef WIN32_LEAN_AND_MEAN
#endif

#endif // EIGEN_BENCH_TIMERR_H

se3d_vs_sim3d.cc

#include <fstream>

#include <Eigen/StdVector>
#include <Eigen/Geometry>

#include <sophus/se3.hpp>
#include <sophus/sim3.hpp>
#include <sophus/interpolate.hpp>

#include "BenchTimer.h"

template <class T> using AlignedVector = std::vector<T,Eigen::aligned_allocator<T>>;

template <typename SophusT>
static inline
void Interp(const SophusT& pose0,
            const SophusT& pose1,
            int num_steps,
            AlignedVector<Eigen::Isometry3d>& poses) {
  poses.clear();
  poses.reserve(num_steps);
  for (int i=0; i<num_steps; ++i) {
    const double t = static_cast<double>(i)/num_steps;
    poses.emplace_back(Sophus::interpolate(pose0, pose1, t).matrix());
  }
}

int main(int argc, char **argv) {
  (void)argc;
  (void)argv;

  const Eigen::Quaterniond q0 = Eigen::Quaterniond::Identity();
  const Eigen::Quaterniond q1 = Eigen::AngleAxisd(0.0*M_PI, Eigen::Vector3d::UnitY()) *
                                Eigen::AngleAxisd(1.0*M_PI, Eigen::Vector3d::UnitX()) *
                                Eigen::AngleAxisd(0.0*M_PI, Eigen::Vector3d::UnitZ());

  const Eigen::Vector3d t0 = Eigen::Vector3d::Zero();
  const Eigen::Vector3d t1 = Eigen::Vector3d::Constant(1.0);

  const int tries = 2;
  const int rep = 5;
  const int num_steps = 10000;

  AlignedVector<Eigen::Isometry3d> poses0;
  AlignedVector<Eigen::Isometry3d> poses1;
  {
    Eigen::BenchTimer t;
    const Sophus::SE3d pose0(q0,t0);
    const Sophus::SE3d pose1(q1,t1);
    BENCH(t, tries, rep, Interp(pose0, pose1, num_steps, poses0));
    std::ofstream ofs("se3d.xyz");
    std::cerr << "se3d interp " << 1e3*t.best(Eigen::CPU_TIMER) << "ms  \t" << std::fixed << double(num_steps*rep)/(t.best(Eigen::CPU_TIMER)) << " interpolations/s\n";
    for (const auto& pose : poses0) {
      const Eigen::Vector3d t = pose.translation();
      ofs << t.x() << " " << t.y() << " " << t.z() << std::endl;
    }
  }

  {
    Eigen::BenchTimer t;
    const Sophus::Sim3d pose0(q0,t0);
    const Sophus::Sim3d pose1(q1,t1);
    BENCH(t, tries, rep, Interp(pose0, pose1, num_steps, poses1));
    std::cerr << "sim3d interp " << 1e3*t.best(Eigen::CPU_TIMER) << "ms  \t" << std::fixed << double(num_steps*rep)/(t.best(Eigen::CPU_TIMER)) << " interpolations/s\n";
    std::ofstream ofs("sim3d.xyz");
    for (const auto& pose : poses1) {
      const Eigen::Vector3d t = pose.translation();
      ofs << t.x() << " " << t.y() << " " << t.z() << std::endl;
    }
  }

  if (poses0.size() != poses1.size()) {
    std::cerr << "unexpected result size" << std::endl;
    exit(EXIT_FAILURE);
  }
  for (size_t i=0; i<poses0.size(); ++i) {
    const Eigen::Matrix4d& a = poses0[i].matrix();
    const Eigen::Matrix4d& b = poses1[i].matrix();
    if (!a.isApprox(b))
      std::cerr << "not approx: " << i << std::endl;
  }
}