exprtk_mpfr_benchmark.cpp

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/*
 **************************************************************
 *         C++ Mathematical Expression Toolkit Library        *
 *                                                            *
 * ExprTk MPFR vs Native Benchmarks                           *
 * Author: Arash Partow (1999-2024)                           *
 * URL: https://www.partow.net/programming/exprtk/index.html  *
 *                                                            *
 * Copyright notice:                                          *
 * Free use of the Mathematical Expression Toolkit Library is *
 * permitted under the guidelines and in accordance with the  *
 * most current version of the MIT License.                   *
 * https://www.opensource.org/licenses/MIT                    *
 * SPDX-License-Identifier: MIT                               *
 *                                                            *
 **************************************************************
*/
 
 
#include <cstdio>
#include <cmath>
#include <iostream>
#include <fstream>
#include <string>
#include <deque>
 
#include <mpreal.h>
#include "exprtk_mpfr_adaptor.hpp"
#include "exprtk.hpp"
 
 
typedef mpfr::mpreal numeric_type;
 
const std::string global_expression_list[] =
{
   "(y + x)",
   "2 * (y + x)",
   "(2 * y + 2 * x)",
   "((1.23 * x^2) / y) - 123.123",
   "(y + x / y) * (x - y / x)",
   "x / ((x + y) + (x - y)) / y",
   "1 - ((x * y) + (y / x)) - 3",
   "(5.5 + x) + (2 * x - 2 / 3 * y) * (x / 3 + y / 4) + (y + 7.7)",
   "1.1x^1 + 2.2y^2 - 3.3x^3 + 4.4y^15 - 5.5x^23 + 6.6y^55",
   "sin(2 * x) + cos(pi / y)",
   "1 - sin(2 * x) + cos(pi / y)",
   "sqrt(111.111 - sin(2 * x) + cos(pi / y) / 333.333)",
   "(x^2 / sin(2 * pi / y)) - x / 2",
   "x + (cos(y - sin(2 / x * pi)) - sin(x - cos(2 * y / pi))) - y",
   "clamp(-1.0, sin(2 * pi * x) + cos(y / 2 * pi), +1.0)",
   "max(3.33, min(sqrt(1 - sin(2 * x) + cos(pi / y) / 3), 1.11))",
   "if((y + (x * 2.2)) <= (x + y + 1.1), x - y, x * y) + 2 * pi / x"
};
 
const std::size_t global_expression_list_size = sizeof(global_expression_list) / sizeof(std::string);
 
static const numeric_type global_lower_bound_x = -100.0;
static const numeric_type global_lower_bound_y = -100.0;
static const numeric_type global_upper_bound_x = +100.0;
static const numeric_type global_upper_bound_y = +100.0;
static const numeric_type global_delta         = 0.1111;
 
 
template <typename T,
          typename Allocator,
          template <typename,typename> class Sequence>
bool load_expression(exprtk::symbol_table<T>& symbol_table,
                     Sequence<exprtk::expression<T>,Allocator>& expr_seq)
{
   exprtk::parser<numeric_type> parser;
 
   for (std::size_t i = 0; i < global_expression_list_size; ++i)
   {
      exprtk::expression<numeric_type> expression;
      expression.register_symbol_table(symbol_table);
 
      if (!parser.compile(global_expression_list[i],expression))
      {
         printf("[load_expression] - Parser Error: %s\tExpression: %s\n",
                parser.error().c_str(),
                global_expression_list[i].c_str());
 
         return false;
      }
 
      expr_seq.push_back(expression);
   }
 
   return true;
}
 
template <typename T>
void run_exprtk_benchmark(T& x, T& y,
                          exprtk::expression<T>& expression,
                          const std::string& expr_string)
{
   T total = T(0);
   unsigned int count = 0;
 
   exprtk::timer timer;
   timer.start();
 
   for (x = global_lower_bound_x; x <= global_upper_bound_x; x += global_delta)
   {
      for (y = global_lower_bound_y; y <= global_upper_bound_y; y += global_delta)
      {
         total += expression.value();
         ++count;
      }
   }
 
   timer.stop();
 
   if (T(0) != total)
      printf("[exprtk] Total Time:%12.8f  Rate:%14.3fevals/sec Expression: %s\n",
             timer.time(),
             count / timer.time(),
             expr_string.c_str());
   else
      printf("run_exprtk_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str());
}
 
template <typename T> struct native;
 
template <typename T, typename NativeFunction>
void run_native_benchmark(T& x, T& y, NativeFunction f, const std::string& expr_string)
{
   T total = T(0);
   unsigned int count = 0;
 
   exprtk::timer timer;
   timer.start();
 
   for (x = global_lower_bound_x; x <= global_upper_bound_x; x += global_delta)
   {
      for (y = global_lower_bound_y; y <= global_upper_bound_y; y += global_delta)
      {
         total += f(x,y);
         ++count;
      }
   }
 
   timer.stop();
 
   if (T(0) != total)
      printf("[native] Total Time:%12.8f  Rate:%14.3fevals/sec Expression: %s\n",
             timer.time(),
             count / timer.time(),
             expr_string.c_str());
   else
      printf("run_native_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str());
}
 
template <typename T>
bool run_parse_benchmark(exprtk::symbol_table<T>& symbol_table)
{
   static const std::size_t rounds = 100000;
   exprtk::parser<numeric_type> parser;
   exprtk::expression<numeric_type> expression;
 
   expression.register_symbol_table(symbol_table);
 
   for (std::size_t i = 0; i < global_expression_list_size; ++i)
   {
      exprtk::timer timer;
      timer.start();
 
      for (std::size_t r = 0; r < rounds; ++r)
      {
         if (!parser.compile(global_expression_list[i],expression))
         {
            printf("[run_parse_benchmark] - Parser Error: %s\tExpression: %s\n",
                   parser.error().c_str(),
                   global_expression_list[i].c_str());
 
            return false;
         }
      }
 
      timer.stop();
 
      printf("[parse] Total Time:%12.8f  Rate:%14.3fparse/sec Expression: %s\n",
             timer.time(),
             rounds / timer.time(),
             global_expression_list[i].c_str());
   }
 
   return true;
}
 
const numeric_type pi  = 3.14159265358979323846;
 
template <typename T>
struct native
{
   typedef typename exprtk::details::functor_t<T> functor_t;
   typedef typename functor_t::Type Type;
 
   static inline T avg(Type x, Type y)
   {
      return (x + y) / T(2);
   }
 
   static inline T clamp(const Type l, const Type v, const Type u)
   {
      return ((v < l) ? l : ((v > u) ? u : v));
   }
 
   static inline T func00(Type x, Type y)
   {
      return (y + x);
   }
 
   static inline T func01(Type x, Type y)
   {
      return T(2) * (y + x);
   }
 
   static inline T func02(Type x, Type y)
   {
      return (T(2) * y + T(2) * x);
   }
 
   static inline T func03(Type x, Type y)
   {
      return ((T(1.23) * (x * x)) / y) - T(123.123);
   }
 
   static inline T func04(Type x, Type y)
   {
      return (y + x / y) * (x - y / x);
   }
 
   static inline T func05(Type x, Type y)
   {
      return x / ((x + y) + (x - y)) / y;
   }
 
   static inline T func06(Type x, Type y)
   {
      return T(1) - ((x * y) + (y / x)) - T(3);
   }
 
   static inline T func07(Type x, Type y)
   {
      return (T(5.5) + x) + (T(2) * x - T(2) / T(3) * y) * (x / T(3) + y / T(4)) + (y + T(7.7));
   }
 
   static inline T func08(Type x, Type y)
   {
      using namespace std;
      return (T(1.1)*pow(x,T(1))+T(2.2)*pow(y,T(2))-T(3.3)*pow(x,T(3))+T(4.4)*pow(y,T(15))-T(5.5)*pow(x,T(23))+T(6.6)*pow(y,T(55)));
   }
 
   static inline T func09(Type x, Type y)
   {
      return mpfr::sin(T(2) * x) + mpfr::cos(pi / y);
   }
 
   static inline T func10(Type x, Type y)
   {
      return T(1) - mpfr::sin(T(2) * x) + mpfr::cos(pi / y);
   }
 
   static inline T func11(Type x, Type y)
   {
      return mpfr::sqrt(T(111.111) - mpfr::sin(T(2) * x) + mpfr::cos(pi / y) / T(333.333));
   }
 
   static inline T func12(Type x, Type y)
   {
      return ((x * x) / mpfr::sin(T(2) * pi / y)) - x / T(2);
   }
 
   static inline T func13(Type x, Type y)
   {
      return (x + (mpfr::cos(y - mpfr::sin(T(2) / x * pi)) - mpfr::sin(x - mpfr::cos(T(2) * y / pi))) - y);
   }
 
   static inline T func14(Type x, Type y)
   {
      return clamp(T(-1), mpfr::sin(T(2) * pi * x) + mpfr::cos(y / T(2) * pi), + T(1));
   }
 
   static inline T func15(Type x, Type y)
   {
      return mpfr::max(T(3.33), mpfr::min(sqrt(T(1) - mpfr::sin(T(2) * x) + mpfr::cos(pi / y) / T(3)), T(1.11)));
   }
 
   static inline T func16(Type x, Type y)
   {
      return (((y + (x * T(2.2))) <= (x + y + T(1.1))) ? x - y : x * y) + T(2) * pi / x;
   }
};
 
void pgo_primer();
void perform_file_based_benchmark(const std::string& file_name, const std::size_t& rounds = 100000);
 
int main(int argc, char* argv[])
{
   mpfr::mpreal::set_default_prec(512);
 
   if (argc >= 2)
   {
      const std::string file_name = argv[1];
 
      if (argc == 2)
         perform_file_based_benchmark(file_name);
      else
         perform_file_based_benchmark(file_name,atoi(argv[2]));
 
      return 0;
   }
 
   numeric_type x = 0;
   numeric_type y = 0;
 
   exprtk::symbol_table<numeric_type> symbol_table;
   symbol_table.add_constants();
   symbol_table.add_variable("x",x);
   symbol_table.add_variable("y",y);
 
   std::deque<exprtk::expression<numeric_type> > compiled_expr_list;
 
   if (!load_expression(symbol_table,compiled_expr_list))
   {
      return 1;
   }
 
   {
      std::cout << "--- EXPRTK ---" << std::endl;
      for (std::size_t i = 0; i < compiled_expr_list.size(); ++i)
      {
         run_exprtk_benchmark(x,y,compiled_expr_list[i],global_expression_list[i]);
      }
   }
 
   {
      std::cout << "--- NATIVE ---" << std::endl;
      run_native_benchmark(x,y,native<numeric_type>::func00,global_expression_list[ 0]);
      run_native_benchmark(x,y,native<numeric_type>::func01,global_expression_list[ 1]);
      run_native_benchmark(x,y,native<numeric_type>::func02,global_expression_list[ 2]);
      run_native_benchmark(x,y,native<numeric_type>::func03,global_expression_list[ 3]);
      run_native_benchmark(x,y,native<numeric_type>::func04,global_expression_list[ 4]);
      run_native_benchmark(x,y,native<numeric_type>::func05,global_expression_list[ 5]);
      run_native_benchmark(x,y,native<numeric_type>::func06,global_expression_list[ 6]);
      run_native_benchmark(x,y,native<numeric_type>::func07,global_expression_list[ 7]);
      run_native_benchmark(x,y,native<numeric_type>::func08,global_expression_list[ 8]);
      run_native_benchmark(x,y,native<numeric_type>::func09,global_expression_list[ 9]);
      run_native_benchmark(x,y,native<numeric_type>::func10,global_expression_list[10]);
      run_native_benchmark(x,y,native<numeric_type>::func11,global_expression_list[11]);
      run_native_benchmark(x,y,native<numeric_type>::func12,global_expression_list[12]);
      run_native_benchmark(x,y,native<numeric_type>::func13,global_expression_list[13]);
      run_native_benchmark(x,y,native<numeric_type>::func14,global_expression_list[14]);
      run_native_benchmark(x,y,native<numeric_type>::func15,global_expression_list[15]);
      run_native_benchmark(x,y,native<numeric_type>::func16,global_expression_list[16]);
   }
 
   {
      std::cout << "--- PARSE ----" << std::endl;
      run_parse_benchmark(symbol_table);
   }
 
   return 0;
}
 
void pgo_primer()
{
   static const double lower_bound_x = -50.0;
   static const double lower_bound_y = -50.0;
   static const double upper_bound_x = +50.0;
   static const double upper_bound_y = +50.0;
   static const double delta = 0.07;
 
   numeric_type total = 0.0;
 
   for (numeric_type x = lower_bound_x; x <= upper_bound_x; x += delta)
   {
      for (numeric_type y = lower_bound_y; y <= upper_bound_y; y += delta)
      {
         total += native<numeric_type>::func00(x,y);
         total += native<numeric_type>::func01(x,y);
         total += native<numeric_type>::func02(x,y);
         total += native<numeric_type>::func03(x,y);
         total += native<numeric_type>::func04(x,y);
         total += native<numeric_type>::func05(x,y);
         total += native<numeric_type>::func06(x,y);
         total += native<numeric_type>::func07(x,y);
         total += native<numeric_type>::func08(x,y);
         total += native<numeric_type>::func09(x,y);
         total += native<numeric_type>::func10(x,y);
         total += native<numeric_type>::func11(x,y);
         total += native<numeric_type>::func12(x,y);
         total += native<numeric_type>::func13(x,y);
         total += native<numeric_type>::func14(x,y);
         total += native<numeric_type>::func15(x,y);
         total += native<numeric_type>::func16(x,y);
      }
   }
}
 
inline std::size_t load_expression_file(const std::string& file_name, std::deque<std::string>& expression_list)
{
   std::ifstream stream(file_name.c_str());
 
   if (!stream) return 0;
 
   std::string buffer;
   buffer.reserve(1024);
   std::size_t line_count = 0;
 
   while (std::getline(stream,buffer))
   {
      if (buffer.empty())
         continue;
      else if ('#' == buffer[0])
         continue;
 
      ++line_count;
      expression_list.push_back(buffer);
   }
 
   return line_count;
}
 
void perform_file_based_benchmark(const std::string& file_name, const std::size_t& rounds)
{
   std::deque<std::string> expr_str_list;
 
   if (0 == load_expression_file(file_name,expr_str_list))
   {
      std::cout << "Failed to load any expressions from: " << file_name << "\n";
      return;
   }
 
   typedef exprtk::symbol_table<numeric_type> symbol_table_t;
   typedef exprtk::expression<numeric_type>     expression_t;
   typedef exprtk::parser<numeric_type>             parser_t;
 
   std::deque<expression_t> expression_list;
 
   symbol_table_t symbol_table;
 
   numeric_type a = 1.1;
   numeric_type b = 2.2;
   numeric_type c = 3.3;
   numeric_type x = 2.123456;
   numeric_type y = 3.123456;
   numeric_type z = 4.123456;
   numeric_type w = 5.123456;
 
   symbol_table.add_variable("a", a);
   symbol_table.add_variable("b", b);
   symbol_table.add_variable("c", c);
 
   symbol_table.add_variable("x", x);
   symbol_table.add_variable("y", y);
   symbol_table.add_variable("z", z);
   symbol_table.add_variable("w", w);
 
   exprtk::polynomial<numeric_type, 1> poly01;
   exprtk::polynomial<numeric_type, 2> poly02;
   exprtk::polynomial<numeric_type, 3> poly03;
   exprtk::polynomial<numeric_type, 4> poly04;
   exprtk::polynomial<numeric_type, 5> poly05;
   exprtk::polynomial<numeric_type, 6> poly06;
   exprtk::polynomial<numeric_type, 7> poly07;
   exprtk::polynomial<numeric_type, 8> poly08;
   exprtk::polynomial<numeric_type, 9> poly09;
   exprtk::polynomial<numeric_type,10> poly10;
   exprtk::polynomial<numeric_type,11> poly11;
   exprtk::polynomial<numeric_type,12> poly12;
 
   symbol_table.add_function("poly01", poly01);
   symbol_table.add_function("poly02", poly02);
   symbol_table.add_function("poly03", poly03);
   symbol_table.add_function("poly04", poly04);
   symbol_table.add_function("poly05", poly05);
   symbol_table.add_function("poly06", poly06);
   symbol_table.add_function("poly07", poly07);
   symbol_table.add_function("poly08", poly08);
   symbol_table.add_function("poly09", poly09);
   symbol_table.add_function("poly10", poly10);
   symbol_table.add_function("poly11", poly11);
   symbol_table.add_function("poly12", poly12);
 
   static numeric_type e = exprtk::details::numeric::constant::e;
   symbol_table.add_variable("e", e, true);
 
   symbol_table.add_constants();
 
   {
      parser_t parser;
 
      for (std::size_t i = 0; i < expr_str_list.size(); ++i)
      {
         expression_t expression;
         expression.register_symbol_table(symbol_table);
 
         if (!parser.compile(expr_str_list[i],expression))
         {
            printf("[perform_file_based_benchmark] - Parser Error: %s\tExpression: %s\n",
                   parser.error().c_str(),
                   expr_str_list[i].c_str());
 
            return;
         }
 
         expression_list.push_back(expression);
      }
   }
 
   exprtk::timer total_timer;
   exprtk::timer timer;
 
   double single_eval_total_time = 0.0;
 
   total_timer.start();
 
   for (std::size_t i = 0; i < expression_list.size(); ++i)
   {
      expression_t& expression = expression_list[i];
 
      a = 1.1;
      b = 2.2;
      c = 3.3;
      x = 2.123456;
      y = 3.123456;
      z = 4.123456;
      w = 5.123456;
 
      timer.start();
      numeric_type sum = 0.0;
      for (std::size_t r = 0; r < rounds; ++r)
      {
         sum += expression.value();
         std::swap(a,b);
         std::swap(x,y);
      }
 
      timer.stop();
 
      printf("Expression %3d of %3d %9.3f ns\t%10d ns\t(%.30s)  '%s'\n",
             static_cast<int>(i + 1),
             static_cast<int>(expression_list.size()),
             (timer.time() * 1000000000.0) / (1.0 * rounds),
             static_cast<unsigned int>(timer.time() * 1000000000.0),
             sum.toString().c_str(),
             expr_str_list[i].c_str());
 
      fflush(stdout);
 
      single_eval_total_time += (timer.time() * 1000000000.0) / (1.0 * rounds);
   }
 
   total_timer.stop();
 
   printf("[*] Number Of Evals:        %15.0f\n",
          rounds * (expression_list.size() * 1.0));
 
   printf("[*] Total Time:             %9.3fsec\n",
          total_timer.time());
 
   printf("[*] Total Single Eval Time: %9.3fms\n",
          single_eval_total_time / 1000000.0);
}