// Ceres Solver - A fast non-linear least squares minimizer // Copyright 2022 Google Inc. All rights reserved. // http://ceres-solver.org/ // // 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 "benchmark/benchmark.h" #include "ceres/eigen_vector_ops.h" #include "ceres/parallel_for.h" namespace ceres::internal { const int kVectorSize = 64 * 1024 * 1024 / sizeof(double); static void SetZero(benchmark::State& state) { Vector x = Vector::Random(kVectorSize); for (auto _ : state) { x.setZero(); } CHECK_EQ(x.squaredNorm(), 0.); } BENCHMARK(SetZero); static void SetZeroParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); Vector x = Vector::Random(kVectorSize); for (auto _ : state) { ParallelSetZero(&context, num_threads, x); } CHECK_EQ(x.squaredNorm(), 0.); } BENCHMARK(SetZeroParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void Negate(benchmark::State& state) { Vector x = Vector::Random(kVectorSize).normalized(); const Vector x_init = x; for (auto _ : state) { x = -x; } CHECK((x - x_init).squaredNorm() == 0. || (x + x_init).squaredNorm() == 0); } BENCHMARK(Negate); static void NegateParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); Vector x = Vector::Random(kVectorSize).normalized(); const Vector x_init = x; for (auto _ : state) { ParallelAssign(&context, num_threads, x, -x); } CHECK((x - x_init).squaredNorm() == 0. || (x + x_init).squaredNorm() == 0); } BENCHMARK(NegateParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void Assign(benchmark::State& state) { Vector x = Vector::Random(kVectorSize); Vector y = Vector(kVectorSize); for (auto _ : state) { y.block(0, 0, kVectorSize, 1) = x.block(0, 0, kVectorSize, 1); } CHECK_EQ((y - x).squaredNorm(), 0.); } BENCHMARK(Assign); static void AssignParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); Vector x = Vector::Random(kVectorSize); Vector y = Vector(kVectorSize); for (auto _ : state) { ParallelAssign(&context, num_threads, y, x); } CHECK_EQ((y - x).squaredNorm(), 0.); } BENCHMARK(AssignParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void D2X(benchmark::State& state) { const Vector x = Vector::Random(kVectorSize); const Vector D = Vector::Random(kVectorSize); Vector y = Vector::Zero(kVectorSize); for (auto _ : state) { y = D.array().square() * x.array(); } CHECK_GT(y.squaredNorm(), 0.); } BENCHMARK(D2X); static void D2XParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); const Vector x = Vector::Random(kVectorSize); const Vector D = Vector::Random(kVectorSize); Vector y = Vector(kVectorSize); for (auto _ : state) { ParallelAssign(&context, num_threads, y, D.array().square() * x.array()); } CHECK_GT(y.squaredNorm(), 0.); } BENCHMARK(D2XParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void DivideSqrt(benchmark::State& state) { Vector diagonal = Vector::Random(kVectorSize).array().abs(); const double radius = 0.5; for (auto _ : state) { diagonal = (diagonal / radius).array().sqrt(); } CHECK_GT(diagonal.squaredNorm(), 0.); } BENCHMARK(DivideSqrt); static void DivideSqrtParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); Vector diagonal = Vector::Random(kVectorSize).array().abs(); const double radius = 0.5; for (auto _ : state) { ParallelAssign( &context, num_threads, diagonal, (diagonal / radius).cwiseSqrt()); } CHECK_GT(diagonal.squaredNorm(), 0.); } BENCHMARK(DivideSqrtParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void Clamp(benchmark::State& state) { Vector diagonal = Vector::Random(kVectorSize); const double min = -0.5; const double max = 0.5; for (auto _ : state) { for (int i = 0; i < kVectorSize; ++i) { diagonal[i] = std::min(std::max(diagonal[i], min), max); } } CHECK_LE(diagonal.maxCoeff(), 0.5); CHECK_GE(diagonal.minCoeff(), -0.5); } BENCHMARK(Clamp); static void ClampParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); Vector diagonal = Vector::Random(kVectorSize); const double min = -0.5; const double max = 0.5; for (auto _ : state) { ParallelAssign( &context, num_threads, diagonal, diagonal.array().max(min).min(max)); } CHECK_LE(diagonal.maxCoeff(), 0.5); CHECK_GE(diagonal.minCoeff(), -0.5); } BENCHMARK(ClampParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void Norm(benchmark::State& state) { const Vector x = Vector::Random(kVectorSize); double total = 0.; for (auto _ : state) { total += x.norm(); } CHECK_GT(total, 0.); } BENCHMARK(Norm); static void NormParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); const Vector x = Vector::Random(kVectorSize); double total = 0.; for (auto _ : state) { total += Norm(x, &context, num_threads); } CHECK_GT(total, 0.); } BENCHMARK(NormParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void Dot(benchmark::State& state) { const Vector x = Vector::Random(kVectorSize); const Vector y = Vector::Random(kVectorSize); double total = 0.; for (auto _ : state) { total += x.dot(y); } CHECK_NE(total, 0.); } BENCHMARK(Dot); static void DotParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); const Vector x = Vector::Random(kVectorSize); const Vector y = Vector::Random(kVectorSize); double total = 0.; for (auto _ : state) { total += Dot(x, y, &context, num_threads); } CHECK_NE(total, 0.); } BENCHMARK(DotParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); static void Axpby(benchmark::State& state) { const Vector x = Vector::Random(kVectorSize); const Vector y = Vector::Random(kVectorSize); Vector z = Vector::Zero(kVectorSize); const double a = 3.1415; const double b = 1.2345; for (auto _ : state) { z = a * x + b * y; } CHECK_GT(z.squaredNorm(), 0.); } BENCHMARK(Axpby); static void AxpbyParallel(benchmark::State& state) { const int num_threads = static_cast(state.range(0)); ContextImpl context; context.EnsureMinimumThreads(num_threads); const Vector x = Vector::Random(kVectorSize); const Vector y = Vector::Random(kVectorSize); Vector z = Vector::Zero(kVectorSize); const double a = 3.1415; const double b = 1.2345; for (auto _ : state) { Axpby(a, x, b, y, z, &context, num_threads); } CHECK_GT(z.squaredNorm(), 0.); } BENCHMARK(AxpbyParallel)->Arg(1)->Arg(2)->Arg(4)->Arg(8)->Arg(16); } // namespace ceres::internal BENCHMARK_MAIN();