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benchmark_math.cpp
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benchmark_math.cpp
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/***************************************************************************
* Copyright (c) 2016, Johan Mabille, Sylvain Corlay and Wolf Vollprecht *
* *
* Distributed under the terms of the BSD 3-Clause License. *
* *
* The full license is in the file LICENSE, distributed with this software. *
****************************************************************************/
#include <chrono>
#include <cstddef>
#include <map>
#include <string>
#include <benchmark/benchmark.h>
#include "xtensor/xarray.hpp"
#include "xtensor/xnoalias.hpp"
#include "xtensor/xtensor.hpp"
// For how many sizes should math functions be tested?
#define MATH_RANGE 64, 64
namespace xt
{
namespace math
{
// TODO use a fixture here to avoid initializing arrays everytime anew ...
/****************************
* Benchmark initialization *
****************************/
template <class V>
inline void init_benchmark_data(V& lhs, V& rhs, std::size_t size0, std::size_t size1)
{
using T = typename V::value_type;
for (std::size_t i = 0; i < size0; ++i)
{
for (std::size_t j = 0; j < size1; ++j)
{
lhs(i, j) = T(0.5) * T(j) / T(j + 1) + std::sqrt(T(i)) * T(9.) / T(size1);
rhs(i, j) = T(10.2) / T(i + 2) + T(0.25) * T(j);
}
}
}
template <class V>
inline void init_xtensor_benchmark(V& lhs, V& rhs, V& res, std::size_t size0, size_t size1)
{
lhs.resize({size0, size1});
rhs.resize({size0, size1});
res.resize({size0, size1});
init_benchmark_data(lhs, rhs, size0, size1);
}
template <class V>
inline void init_ext_benchmark(V& lhs, V& rhs, V& res, std::size_t size0, size_t size1)
{
lhs.resize(size0, size1);
rhs.resize(size0, size1);
res.resize(size0, size1);
init_benchmark_data(lhs, rhs, size0, size1);
}
/***********************
* Benchmark functions *
***********************/
template <class F, class V>
inline void math_xtensor_2(benchmark::State& state)
{
xtensor<double, 2> lhs, rhs, res;
init_xtensor_benchmark(lhs, rhs, res, state.range(0), state.range(0));
auto f = F();
for (auto _ : state)
{
xt::noalias(res) = f(lhs, rhs);
benchmark::DoNotOptimize(res.data());
}
}
template <class F, class V>
inline void math_xtensor_cpy_2(benchmark::State& state)
{
xtensor<double, 2> lhs, rhs, res;
init_xtensor_benchmark(lhs, rhs, res, state.range(0), state.range(0));
auto f = F();
for (auto _ : state)
{
auto fct = f(lhs, rhs);
std::copy(fct.linear_begin(), fct.linear_end(), res.linear_begin());
benchmark::DoNotOptimize(res.data());
}
}
template <class F, class V>
inline void math_xtensor_1(benchmark::State& state)
{
xtensor<double, 2> lhs, rhs, res;
init_xtensor_benchmark(lhs, rhs, res, state.range(0), state.range(0));
auto f = F();
for (auto _ : state)
{
xt::noalias(res) = f(lhs);
benchmark::DoNotOptimize(res.data());
}
}
template <class F>
inline auto math_ref_2(benchmark::State& state)
{
auto f = F();
xtensor<double, 2> lhs, rhs, res;
init_xtensor_benchmark(lhs, rhs, res, state.range(0), state.range(0));
size_t size = lhs.shape()[0] * lhs.shape()[1];
for (auto _ : state)
{
for (std::size_t i = 0; i < size; ++i)
{
res.data()[i] = f(lhs.data()[i], res.data()[i]);
}
benchmark::DoNotOptimize(res.data());
}
}
template <class F>
inline void math_ref_1(benchmark::State& state)
{
auto f = F();
xtensor<double, 2> lhs, rhs, res;
init_xtensor_benchmark(lhs, rhs, res, state.range(0), state.range(0));
size_t size = lhs.shape()[0] * lhs.shape()[1];
for (auto _ : state)
{
for (std::size_t i = 0; i < size; ++i)
{
res.data()[i] = f(lhs.data()[i]);
}
benchmark::DoNotOptimize(res.data());
}
}
/**********************
* Benchmark functors *
**********************/
#define DEFINE_OP_FUNCTOR_2OP(OP, NAME) \
struct NAME##_fn \
{ \
template <class T> \
inline auto operator()(const T& lhs, const T& rhs) const \
{ \
return lhs OP rhs; \
} \
inline static std::string name() \
{ \
return #NAME; \
} \
}
#define DEFINE_FUNCTOR_1OP(FN) \
struct FN##_fn \
{ \
template <class T> \
inline auto operator()(const T& x) const \
{ \
using std::FN; \
using xt::FN; \
return FN(x); \
} \
inline static std::string name() \
{ \
return #FN; \
} \
}
#define DEFINE_FUNCTOR_2OP(FN) \
struct FN##_fn \
{ \
template <class T> \
inline auto operator()(const T& lhs, const T& rhs) const \
{ \
using std::FN; \
using xt::FN; \
return FN(lhs, rhs); \
} \
inline static std::string name() \
{ \
return #FN; \
} \
}
DEFINE_OP_FUNCTOR_2OP(+, add);
DEFINE_OP_FUNCTOR_2OP(-, sub);
DEFINE_OP_FUNCTOR_2OP(*, mul);
DEFINE_OP_FUNCTOR_2OP(/, div);
DEFINE_FUNCTOR_1OP(exp);
DEFINE_FUNCTOR_1OP(exp2);
DEFINE_FUNCTOR_1OP(expm1);
DEFINE_FUNCTOR_1OP(log);
DEFINE_FUNCTOR_1OP(log10);
DEFINE_FUNCTOR_1OP(log2);
DEFINE_FUNCTOR_1OP(log1p);
DEFINE_FUNCTOR_1OP(sin);
DEFINE_FUNCTOR_1OP(cos);
DEFINE_FUNCTOR_1OP(tan);
DEFINE_FUNCTOR_1OP(asin);
DEFINE_FUNCTOR_1OP(acos);
DEFINE_FUNCTOR_1OP(atan);
DEFINE_FUNCTOR_1OP(sinh);
DEFINE_FUNCTOR_1OP(cosh);
DEFINE_FUNCTOR_1OP(tanh);
DEFINE_FUNCTOR_1OP(asinh);
DEFINE_FUNCTOR_1OP(acosh);
DEFINE_FUNCTOR_1OP(atanh);
DEFINE_FUNCTOR_2OP(pow);
DEFINE_FUNCTOR_1OP(sqrt);
DEFINE_FUNCTOR_1OP(cbrt);
DEFINE_FUNCTOR_2OP(hypot);
DEFINE_FUNCTOR_1OP(ceil);
DEFINE_FUNCTOR_1OP(floor);
DEFINE_FUNCTOR_1OP(trunc);
DEFINE_FUNCTOR_1OP(round);
DEFINE_FUNCTOR_1OP(nearbyint);
DEFINE_FUNCTOR_1OP(rint);
/********************
* benchmark groups *
********************/
BENCHMARK_TEMPLATE(math_ref_2, add_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_2, add_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_cpy_2, add_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_2, sub_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_2, sub_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_cpy_2, sub_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_2, mul_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_2, mul_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_cpy_2, mul_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_2, div_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_2, div_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_cpy_2, div_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, exp_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, exp_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, exp2_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, exp2_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, expm1_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, expm1_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, log_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, log_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, log2_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, log2_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, log10_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, log10_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, log1p_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, log1p_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, sin_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, sin_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, cos_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, cos_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, tan_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, tan_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, asin_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, asin_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, acos_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, acos_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, atan_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, atan_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, sinh_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, sinh_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, cosh_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, cosh_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, tanh_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, tanh_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, asinh_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, asinh_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, acosh_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, acosh_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, atanh_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, atanh_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_2, pow_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_2, pow_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, sqrt_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, sqrt_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, cbrt_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, cbrt_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_2, hypot_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_2, hypot_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, ceil_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, ceil_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, floor_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, floor_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, trunc_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, trunc_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, round_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, round_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, nearbyint_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, nearbyint_fn, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_ref_1, rint_fn)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(math_xtensor_1, rint_fn, xtensor<double, 2>)->Range(MATH_RANGE);
}
template <class T>
void scalar_assign(benchmark::State& state)
{
T res;
std::size_t sz = static_cast<std::size_t>(state.range(0));
res.resize({sz, sz});
for (auto _ : state)
{
res += typename T::value_type(1);
benchmark::DoNotOptimize(res.data());
}
}
template <class T>
void scalar_assign_ref(benchmark::State& state)
{
T res;
std::size_t sz = static_cast<std::size_t>(state.range(0));
res.resize({sz, sz});
for (auto _ : state)
{
auto szt = res.size();
for (std::size_t i = 0; i < szt; ++i)
{
res.data()[i] += typename T::value_type(1);
}
benchmark::DoNotOptimize(res.data());
}
}
template <class T>
void boolean_func(benchmark::State& state)
{
T a, b;
std::size_t sz = static_cast<std::size_t>(state.range(0));
a.resize({sz, sz});
b.resize({sz, sz});
xtensor<bool, 2> res;
res.resize({sz, sz});
for (auto _ : state)
{
res = equal(a, b);
benchmark::DoNotOptimize(res.data());
}
}
template <class T>
void boolean_func_ref(benchmark::State& state)
{
T a, b;
std::size_t sz = static_cast<std::size_t>(state.range(0));
a.resize({sz, sz});
b.resize({sz, sz});
xtensor<bool, 2> res;
res.resize({sz, sz});
for (auto _ : state)
{
auto szt = res.size();
for (std::size_t i = 0; i < szt; ++i)
{
res.data()[i] = (a.data()[i] == b.data()[i]);
}
benchmark::DoNotOptimize(res.data());
}
}
BENCHMARK_TEMPLATE(scalar_assign, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(scalar_assign_ref, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(boolean_func, xtensor<double, 2>)->Range(MATH_RANGE);
BENCHMARK_TEMPLATE(boolean_func_ref, xtensor<double, 2>)->Range(MATH_RANGE);
}