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eigen/benchmarks/Core/bench_cwise_math.cpp
Rasmus Munk Larsen d31a73437f Vectorize asinh and acosh for float and double 
libeigen/eigen!2376

Co-authored-by: Rasmus Munk Larsen <rmlarsen@gmail.com>
2026-04-01 21:46:36 -07:00

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// Benchmarks for vectorized coefficient-wise math functions.
//
// Each function is benchmarked on ArrayXf/ArrayXd with inputs chosen to
// stay in the valid domain and avoid NaN/Inf.
#include <benchmark/benchmark.h>
#include <Eigen/Core>
#include <unsupported/Eigen/SpecialFunctions>
using namespace Eigen;
// Macro to define a benchmark for a unary array operation.
// NAME: benchmark function suffix (e.g. Exp)
// EXPR: expression applied to the array (e.g. a.exp())
// LO, HI: input range [LO, HI] mapped from the default Random() range [-1,1]
#define BENCH_CWISE_UNARY(NAME, EXPR, LO, HI) \
template <typename Scalar> \
static void BM_##NAME(benchmark::State& state) { \
const Index n = state.range(0); \
using Arr = Array<Scalar, Dynamic, 1>; \
/* Map Random [-1,1] to [LO, HI] */ \
Arr a = (Arr::Random(n) + Scalar(1)) * Scalar((double(HI) - double(LO)) / 2.0) + Scalar(LO); \
Arr b(n); \
for (auto _ : state) { \
b = EXPR; \
benchmark::DoNotOptimize(b.data()); \
} \
state.SetBytesProcessed(state.iterations() * n * sizeof(Scalar) * 2); \
}
// Transcendental functions
BENCH_CWISE_UNARY(Exp, a.exp(), -10, 10)
BENCH_CWISE_UNARY(Log, a.log(), 0.01, 100)
BENCH_CWISE_UNARY(Log1p, a.log1p(), -0.5, 100)
BENCH_CWISE_UNARY(Sqrt, a.sqrt(), 0, 100)
BENCH_CWISE_UNARY(Rsqrt, a.rsqrt(), 0.01, 100)
BENCH_CWISE_UNARY(Log2, a.log2(), 0.01, 100)
BENCH_CWISE_UNARY(Exp2, a.exp2(), -10, 10)
BENCH_CWISE_UNARY(Expm1, a.expm1(), -2, 2)
BENCH_CWISE_UNARY(Cbrt, a.cbrt(), -100, 100)
// Trigonometric functions
BENCH_CWISE_UNARY(Sin, a.sin(), -3.14, 3.14)
BENCH_CWISE_UNARY(Cos, a.cos(), -3.14, 3.14)
BENCH_CWISE_UNARY(Tan, a.tan(), -1.5, 1.5)
BENCH_CWISE_UNARY(Asin, a.asin(), -0.99, 0.99)
BENCH_CWISE_UNARY(Acos, a.acos(), -0.99, 0.99)
BENCH_CWISE_UNARY(Atan, a.atan(), -10, 10)
// Hyperbolic / special
BENCH_CWISE_UNARY(Sinh, a.sinh(), -5, 5)
BENCH_CWISE_UNARY(Cosh, a.cosh(), -5, 5)
BENCH_CWISE_UNARY(Tanh, a.tanh(), -5, 5)
BENCH_CWISE_UNARY(Asinh, a.asinh(), -5, 5)
BENCH_CWISE_UNARY(Acosh, a.acosh(), 1.01, 10)
BENCH_CWISE_UNARY(Atanh, a.atanh(), -0.99, 0.99)
BENCH_CWISE_UNARY(Log10, a.log10(), 0.01, 100)
BENCH_CWISE_UNARY(Erf, Eigen::erf(a), -4, 4)
// Simple operations (should be very fast / memory-bound)
BENCH_CWISE_UNARY(Abs, a.abs(), -100, 100)
BENCH_CWISE_UNARY(Square, a.square(), -100, 100)
BENCH_CWISE_UNARY(Cube, a.cube(), -10, 10)
BENCH_CWISE_UNARY(Ceil, a.ceil(), -100, 100)
BENCH_CWISE_UNARY(Floor, a.floor(), -100, 100)
BENCH_CWISE_UNARY(Round, a.round(), -100, 100)
BENCH_CWISE_UNARY(Rint, a.rint(), -100, 100)
BENCH_CWISE_UNARY(Trunc, a.trunc(), -100, 100)
// Sigmoid: 1 / (1 + exp(-x)), common in ML.
BENCH_CWISE_UNARY(Sigmoid, Scalar(1) / (Scalar(1) + (-a).exp()), -10, 10)
// Power: array^scalar
template <typename Scalar>
static void BM_Pow(benchmark::State& state) {
const Index n = state.range(0);
using Arr = Array<Scalar, Dynamic, 1>;
Arr a = (Arr::Random(n) + Scalar(1)) * Scalar(50); // [0, 100]
Arr b(n);
for (auto _ : state) {
b = a.pow(Scalar(2.5));
benchmark::DoNotOptimize(b.data());
}
state.SetBytesProcessed(state.iterations() * n * sizeof(Scalar) * 2);
}
// Macro for complex unary benchmarks. Random() already produces complex
// values with real & imag in [-1,1]; scale both parts to [LO, HI].
#define BENCH_CWISE_UNARY_COMPLEX(NAME, EXPR, LO, HI) \
template <typename RealScalar> \
static void BM_##NAME##_complex(benchmark::State& state) { \
using Scalar = std::complex<RealScalar>; \
const Index n = state.range(0); \
using Arr = Array<Scalar, Dynamic, 1>; \
Arr a = (Arr::Random(n) + Scalar(RealScalar(1), RealScalar(1))) * \
Scalar(RealScalar((double(HI) - double(LO)) / 2.0), RealScalar(0)) + \
Scalar(RealScalar(LO), RealScalar(LO)); \
Arr b(n); \
for (auto _ : state) { \
b = EXPR; \
benchmark::DoNotOptimize(b.data()); \
} \
state.SetBytesProcessed(state.iterations() * n * Index(sizeof(Scalar)) * 2); \
}
// Macro for complex binary benchmarks (e.g. multiply, divide).
#define BENCH_CWISE_BINARY_COMPLEX(NAME, EXPR, LO, HI) \
template <typename RealScalar> \
static void BM_##NAME##_complex(benchmark::State& state) { \
using Scalar = std::complex<RealScalar>; \
const Index n = state.range(0); \
using Arr = Array<Scalar, Dynamic, 1>; \
Arr a = (Arr::Random(n) + Scalar(RealScalar(1), RealScalar(1))) * \
Scalar(RealScalar((double(HI) - double(LO)) / 2.0), RealScalar(0)) + \
Scalar(RealScalar(LO), RealScalar(LO)); \
Arr b = (Arr::Random(n) + Scalar(RealScalar(1), RealScalar(1))) * \
Scalar(RealScalar((double(HI) - double(LO)) / 2.0), RealScalar(0)) + \
Scalar(RealScalar(LO), RealScalar(LO)); \
Arr c(n); \
for (auto _ : state) { \
c = EXPR; \
benchmark::DoNotOptimize(c.data()); \
} \
state.SetBytesProcessed(state.iterations() * n * Index(sizeof(Scalar)) * 3); \
}
// Complex unary (SIMD implementations in GenericPacketMathFunctions.h)
BENCH_CWISE_UNARY_COMPLEX(Exp, a.exp(), -5, 5)
BENCH_CWISE_UNARY_COMPLEX(Log, a.log(), 0.01, 100)
BENCH_CWISE_UNARY_COMPLEX(Sqrt, a.sqrt(), -100, 100)
BENCH_CWISE_UNARY_COMPLEX(Square, a.square(), -10, 10)
// Complex binary (pdiv_complex, pmul_complex)
BENCH_CWISE_BINARY_COMPLEX(Mul, a* b, -10, 10)
BENCH_CWISE_BINARY_COMPLEX(Div, a / b, -10, 10)
// clang-format off
#define CWISE_SIZES ->Arg(1024)->Arg(4096)->Arg(16384)->Arg(65536)->Arg(262144)->Arg(1048576)
// --- Register float ---
BENCHMARK(BM_Exp<float>) CWISE_SIZES ->Name("Exp_float");
BENCHMARK(BM_Log<float>) CWISE_SIZES ->Name("Log_float");
BENCHMARK(BM_Log1p<float>) CWISE_SIZES ->Name("Log1p_float");
BENCHMARK(BM_Log2<float>) CWISE_SIZES ->Name("Log2_float");
BENCHMARK(BM_Sqrt<float>) CWISE_SIZES ->Name("Sqrt_float");
BENCHMARK(BM_Rsqrt<float>) CWISE_SIZES ->Name("Rsqrt_float");
BENCHMARK(BM_Exp2<float>) CWISE_SIZES ->Name("Exp2_float");
BENCHMARK(BM_Expm1<float>) CWISE_SIZES ->Name("Expm1_float");
BENCHMARK(BM_Cbrt<float>) CWISE_SIZES ->Name("Cbrt_float");
BENCHMARK(BM_Sin<float>) CWISE_SIZES ->Name("Sin_float");
BENCHMARK(BM_Cos<float>) CWISE_SIZES ->Name("Cos_float");
BENCHMARK(BM_Tan<float>) CWISE_SIZES ->Name("Tan_float");
BENCHMARK(BM_Asin<float>) CWISE_SIZES ->Name("Asin_float");
BENCHMARK(BM_Acos<float>) CWISE_SIZES ->Name("Acos_float");
BENCHMARK(BM_Atan<float>) CWISE_SIZES ->Name("Atan_float");
BENCHMARK(BM_Sinh<float>) CWISE_SIZES ->Name("Sinh_float");
BENCHMARK(BM_Cosh<float>) CWISE_SIZES ->Name("Cosh_float");
BENCHMARK(BM_Tanh<float>) CWISE_SIZES ->Name("Tanh_float");
BENCHMARK(BM_Asinh<float>) CWISE_SIZES ->Name("Asinh_float");
BENCHMARK(BM_Acosh<float>) CWISE_SIZES ->Name("Acosh_float");
BENCHMARK(BM_Atanh<float>) CWISE_SIZES ->Name("Atanh_float");
BENCHMARK(BM_Log10<float>) CWISE_SIZES ->Name("Log10_float");
BENCHMARK(BM_Erf<float>) CWISE_SIZES ->Name("Erf_float");
BENCHMARK(BM_Abs<float>) CWISE_SIZES ->Name("Abs_float");
BENCHMARK(BM_Square<float>) CWISE_SIZES ->Name("Square_float");
BENCHMARK(BM_Cube<float>) CWISE_SIZES ->Name("Cube_float");
BENCHMARK(BM_Ceil<float>) CWISE_SIZES ->Name("Ceil_float");
BENCHMARK(BM_Floor<float>) CWISE_SIZES ->Name("Floor_float");
BENCHMARK(BM_Round<float>) CWISE_SIZES ->Name("Round_float");
BENCHMARK(BM_Rint<float>) CWISE_SIZES ->Name("Rint_float");
BENCHMARK(BM_Trunc<float>) CWISE_SIZES ->Name("Trunc_float");
BENCHMARK(BM_Sigmoid<float>) CWISE_SIZES ->Name("Sigmoid_float");
BENCHMARK(BM_Pow<float>) CWISE_SIZES ->Name("Pow_float");
// --- Register double ---
BENCHMARK(BM_Exp<double>) CWISE_SIZES ->Name("Exp_double");
BENCHMARK(BM_Log<double>) CWISE_SIZES ->Name("Log_double");
BENCHMARK(BM_Log1p<double>) CWISE_SIZES ->Name("Log1p_double");
BENCHMARK(BM_Log2<double>) CWISE_SIZES ->Name("Log2_double");
BENCHMARK(BM_Sqrt<double>) CWISE_SIZES ->Name("Sqrt_double");
BENCHMARK(BM_Rsqrt<double>) CWISE_SIZES ->Name("Rsqrt_double");
BENCHMARK(BM_Exp2<double>) CWISE_SIZES ->Name("Exp2_double");
BENCHMARK(BM_Expm1<double>) CWISE_SIZES ->Name("Expm1_double");
BENCHMARK(BM_Cbrt<double>) CWISE_SIZES ->Name("Cbrt_double");
BENCHMARK(BM_Sin<double>) CWISE_SIZES ->Name("Sin_double");
BENCHMARK(BM_Cos<double>) CWISE_SIZES ->Name("Cos_double");
BENCHMARK(BM_Tan<double>) CWISE_SIZES ->Name("Tan_double");
BENCHMARK(BM_Asin<double>) CWISE_SIZES ->Name("Asin_double");
BENCHMARK(BM_Acos<double>) CWISE_SIZES ->Name("Acos_double");
BENCHMARK(BM_Atan<double>) CWISE_SIZES ->Name("Atan_double");
BENCHMARK(BM_Sinh<double>) CWISE_SIZES ->Name("Sinh_double");
BENCHMARK(BM_Cosh<double>) CWISE_SIZES ->Name("Cosh_double");
BENCHMARK(BM_Tanh<double>) CWISE_SIZES ->Name("Tanh_double");
BENCHMARK(BM_Asinh<double>) CWISE_SIZES ->Name("Asinh_double");
BENCHMARK(BM_Acosh<double>) CWISE_SIZES ->Name("Acosh_double");
BENCHMARK(BM_Atanh<double>) CWISE_SIZES ->Name("Atanh_double");
BENCHMARK(BM_Log10<double>) CWISE_SIZES ->Name("Log10_double");
BENCHMARK(BM_Erf<double>) CWISE_SIZES ->Name("Erf_double");
BENCHMARK(BM_Abs<double>) CWISE_SIZES ->Name("Abs_double");
BENCHMARK(BM_Square<double>) CWISE_SIZES ->Name("Square_double");
BENCHMARK(BM_Cube<double>) CWISE_SIZES ->Name("Cube_double");
BENCHMARK(BM_Ceil<double>) CWISE_SIZES ->Name("Ceil_double");
BENCHMARK(BM_Floor<double>) CWISE_SIZES ->Name("Floor_double");
BENCHMARK(BM_Round<double>) CWISE_SIZES ->Name("Round_double");
BENCHMARK(BM_Rint<double>) CWISE_SIZES ->Name("Rint_double");
BENCHMARK(BM_Trunc<double>) CWISE_SIZES ->Name("Trunc_double");
BENCHMARK(BM_Sigmoid<double>) CWISE_SIZES ->Name("Sigmoid_double");
BENCHMARK(BM_Pow<double>) CWISE_SIZES ->Name("Pow_double");
// --- Register complex<float> ---
BENCHMARK(BM_Exp_complex<float>) CWISE_SIZES ->Name("Exp_complexf");
BENCHMARK(BM_Log_complex<float>) CWISE_SIZES ->Name("Log_complexf");
BENCHMARK(BM_Sqrt_complex<float>) CWISE_SIZES ->Name("Sqrt_complexf");
BENCHMARK(BM_Square_complex<float>) CWISE_SIZES ->Name("Square_complexf");
BENCHMARK(BM_Mul_complex<float>) CWISE_SIZES ->Name("Mul_complexf");
BENCHMARK(BM_Div_complex<float>) CWISE_SIZES ->Name("Div_complexf");
// --- Register complex<double> ---
BENCHMARK(BM_Exp_complex<double>) CWISE_SIZES ->Name("Exp_complexd");
BENCHMARK(BM_Log_complex<double>) CWISE_SIZES ->Name("Log_complexd");
BENCHMARK(BM_Sqrt_complex<double>) CWISE_SIZES ->Name("Sqrt_complexd");
BENCHMARK(BM_Square_complex<double>) CWISE_SIZES ->Name("Square_complexd");
BENCHMARK(BM_Mul_complex<double>) CWISE_SIZES ->Name("Mul_complexd");
BENCHMARK(BM_Div_complex<double>) CWISE_SIZES ->Name("Div_complexd");
#undef CWISE_SIZES
// clang-format on
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