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+/*
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+ **************************************************************
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+ * C++ Mathematical Expression Toolkit Library *
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+ * *
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+ * ExprTk vs Native Benchmarks *
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+ * Author: Arash Partow (1999-2020) *
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+ * URL: http://www.partow.net/programming/exprtk/index.html *
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+ * *
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+ * Copyright notice: *
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+ * Free use of the Mathematical Expression Toolkit Library is *
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+ * permitted under the guidelines and in accordance with the *
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+ * most current version of the MIT License. *
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+ * http://www.opensource.org/licenses/MIT *
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+ * *
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+ **************************************************************
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+*/
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+
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+
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+#include <cstdio>
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+#include <cmath>
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+#include <iostream>
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+#include <fstream>
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+#include <string>
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+#include <deque>
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+
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+#include "exprtk.hpp"
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+
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+
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+const std::string global_expression_list[]
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+ = {
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+ "(y + x)",
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+ "2 * (y + x)",
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+ "(2 * y + 2 * x)",
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+ "((1.23 * x^2) / y) - 123.123",
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+ "(y + x / y) * (x - y / x)",
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+ "x / ((x + y) + (x - y)) / y",
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+ "1 - ((x * y) + (y / x)) - 3",
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+ "(5.5 + x) + (2 * x - 2 / 3 * y) * (x / 3 + y / 4) + (y + 7.7)",
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+ "1.1x^1 + 2.2y^2 - 3.3x^3 + 4.4y^15 - 5.5x^23 + 6.6y^55",
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+ "sin(2 * x) + cos(pi / y)",
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+ "1 - sin(2 * x) + cos(pi / y)",
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+ "sqrt(111.111 - sin(2 * x) + cos(pi / y) / 333.333)",
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+ "(x^2 / sin(2 * pi / y)) - x / 2",
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+ "x + (cos(y - sin(2 / x * pi)) - sin(x - cos(2 * y / pi))) - y",
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+ "clamp(-1.0, sin(2 * pi * x) + cos(y / 2 * pi), +1.0)",
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+ "max(3.33, min(sqrt(1 - sin(2 * x) + cos(pi / y) / 3), 1.11))",
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+ "if((y + (x * 2.2)) <= (x + y + 1.1), x - y, x * y) + 2 * pi / x"
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+ };
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+
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+const std::size_t global_expression_list_size = sizeof(global_expression_list) / sizeof(std::string);
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+
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+static const double global_lower_bound_x = -100.0;
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+static const double global_lower_bound_y = -100.0;
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+static const double global_upper_bound_x = +100.0;
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+static const double global_upper_bound_y = +100.0;
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+static const double global_delta = 0.0111;
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+
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+
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+template <typename T,
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+ typename Allocator,
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+ template <typename,typename> class Sequence>
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+bool load_expression(exprtk::symbol_table<T>& symbol_table,
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+ Sequence<exprtk::expression<T>,Allocator>& expr_seq)
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+{
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+ exprtk::parser<double> parser;
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+
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+ for (std::size_t i = 0; i < global_expression_list_size; ++i)
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+ {
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+ exprtk::expression<double> expression;
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+ expression.register_symbol_table(symbol_table);
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+
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+ if (!parser.compile(global_expression_list[i],expression))
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+ {
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+ printf("[load_expression] - Parser Error: %s\tExpression: %s\n",
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+ parser.error().c_str(),
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+ global_expression_list[i].c_str());
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+
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+ return false;
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+ }
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+
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+ expr_seq.push_back(expression);
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+ }
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+
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+ return true;
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+}
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+
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+template <typename T>
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+void run_exprtk_benchmark(T& x, T& y,
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+ exprtk::expression<T>& expression,
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+ const std::string& expr_string)
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+{
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+ T total = T(0);
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+ unsigned int count = 0;
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+
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+ exprtk::timer timer;
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+ timer.start();
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+
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+ for (x = global_lower_bound_x; x <= global_upper_bound_x; x += global_delta)
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+ {
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+ for (y = global_lower_bound_y; y <= global_upper_bound_y; y += global_delta)
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+ {
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+ total += expression.value();
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+ ++count;
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+ }
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+ }
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+
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+ timer.stop();
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+
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+ if (T(0) != total)
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+ printf("[exprtk] Total Time:%12.8f Rate:%14.3fevals/sec Expression: %s\n",
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+ timer.time(),
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+ count / timer.time(),
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+ expr_string.c_str());
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+ else
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+ printf("run_exprtk_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str());
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+}
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+
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+template <typename T> struct native;
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+
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+template <typename T, typename NativeFunction>
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+void run_native_benchmark(T& x, T& y, NativeFunction f, const std::string& expr_string)
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+{
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+ T total = T(0);
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+ unsigned int count = 0;
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+
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+ exprtk::timer timer;
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+ timer.start();
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+
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+ for (x = global_lower_bound_x; x <= global_upper_bound_x; x += global_delta)
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+ {
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+ for (y = global_lower_bound_y; y <= global_upper_bound_y; y += global_delta)
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+ {
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+ total += f(x,y);
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+ ++count;
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+ }
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+ }
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+
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+ timer.stop();
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+
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+ if (T(0) != total)
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+ printf("[native] Total Time:%12.8f Rate:%14.3fevals/sec Expression: %s\n",
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+ timer.time(),
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+ count / timer.time(),
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+ expr_string.c_str());
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+ else
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+ printf("run_native_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str());
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+}
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+
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+template <typename T>
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+bool run_parse_benchmark(exprtk::symbol_table<T>& symbol_table)
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+{
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+ static const std::size_t rounds = 100000;
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+ exprtk::parser<double> parser;
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+ exprtk::expression<double> expression;
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+
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+ expression.register_symbol_table(symbol_table);
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+
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+ for (std::size_t i = 0; i < global_expression_list_size; ++i)
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+ {
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+ exprtk::timer timer;
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+ timer.start();
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+
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+ for (std::size_t r = 0; r < rounds; ++r)
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+ {
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+ if (!parser.compile(global_expression_list[i],expression))
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+ {
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+ printf("[run_parse_benchmark] - Parser Error: %s\tExpression: %s\n",
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+ parser.error().c_str(),
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+ global_expression_list[i].c_str());
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+
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+ return false;
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+ }
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+ }
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+
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+ timer.stop();
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+
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+ printf("[parse] Total Time:%12.8f Rate:%14.3fparse/sec Expression: %s\n",
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+ timer.time(),
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+ rounds / timer.time(),
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+ global_expression_list[i].c_str());
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+ }
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+
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+ return true;
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+}
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+
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+const double pi = 3.141592653589793238462643383279502;
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+
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+template <typename T>
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+struct native
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+{
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+ typedef typename exprtk::details::functor_t<T> functor_t;
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+ typedef typename functor_t::Type Type;
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+
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+ static inline T avg(Type x, Type y)
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+ {
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+ return (x + y) / T(2);
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+ }
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+
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+ static inline T clamp(const Type l, const Type v, const Type u)
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+ {
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+ return ((v < l) ? l : ((v > u) ? u : v));
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+ }
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+
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+ static inline T func00(Type x, Type y)
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+ {
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+ return (y + x);
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+ }
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+
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+ static inline T func01(Type x, Type y)
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+ {
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+ return T(2) * (y + x);
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+ }
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+
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+ static inline T func02(Type x, Type y)
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+ {
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+ return (T(2) * y + T(2) * x);
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+ }
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+
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+ static inline T func03(Type x, Type y)
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+ {
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+ return ((T(1.23) * (x * x)) / y) - T(123.123);
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+ }
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+
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+ static inline T func04(Type x, Type y)
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+ {
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+ return (y + x / y) * (x - y / x);
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+ }
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+
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+ static inline T func05(Type x, Type y)
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+ {
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+ return x / ((x + y) + (x - y)) / y;
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+ }
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+
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+ static inline T func06(Type x, Type y)
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+ {
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+ return T(1) - ((x * y) + (y / x)) - T(3);
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+ }
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+
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+ static inline T func07(Type x, Type y)
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+ {
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+ return (T(5.5) + x) + (T(2) * x - T(2) / T(3) * y) * (x / T(3) + y / T(4)) + (y + T(7.7));
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+ }
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+
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+ static inline T func08(Type x, Type y)
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+ {
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+ using namespace std;
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+ 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)));
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+ }
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+
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+ static inline T func09(Type x, Type y)
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+ {
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+ return std::sin(T(2) * x) + std::cos(pi / y);
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+ }
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+
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+ static inline T func10(Type x, Type y)
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+ {
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+ return T(1) - std::sin(T(2) * x) + std::cos(pi / y);
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+ }
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+
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+ static inline T func11(Type x, Type y)
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+ {
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+ return std::sqrt(T(111.111) - std::sin(T(2) * x) + std::cos(pi / y) / T(333.333));
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+ }
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+
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+ static inline T func12(Type x, Type y)
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+ {
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+ return ((x * x) / std::sin(T(2) * pi / y)) - x / T(2);
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+ }
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+
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+ static inline T func13(Type x, Type y)
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+ {
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+ return (x + (std::cos(y - std::sin(T(2) / x * pi)) - std::sin(x - std::cos(T(2) * y / pi))) - y);
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+ }
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+
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+ static inline T func14(Type x, Type y)
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+ {
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+ return clamp(T(-1), std::sin(T(2) * pi * x) + std::cos(y / T(2) * pi), + T(1));
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+ }
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+
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+ static inline T func15(Type x, Type y)
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+ {
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+ return std::max(T(3.33), std::min(sqrt(T(1) - std::sin(T(2) * x) + std::cos(pi / y) / T(3)), T(1.11)));
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+ }
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+
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+ static inline T func16(Type x, Type y)
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+ {
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+ return (((y + (x * T(2.2))) <= (x + y + T(1.1))) ? x - y : x * y) + T(2) * pi / x;
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+ }
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+};
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+
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+void pgo_primer();
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+void perform_file_based_benchmark(const std::string& file_name, const std::size_t& rounds = 100000);
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+
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+int main(int argc, char* argv[])
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+{
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+ if (argc >= 2)
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+ {
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+ const std::string file_name = argv[1];
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+
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+ if (argc == 2)
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+ perform_file_based_benchmark(file_name);
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+ else
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+ perform_file_based_benchmark(file_name,atoi(argv[2]));
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+
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+ return 0;
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+ }
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+
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+ pgo_primer();
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+
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+ double x = 0;
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+ double y = 0;
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+
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+ exprtk::symbol_table<double> symbol_table;
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+ symbol_table.add_constants();
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+ symbol_table.add_variable("x",x);
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+ symbol_table.add_variable("y",y);
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+
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+ std::deque<exprtk::expression<double> > compiled_expr_list;
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+
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+ if (!load_expression(symbol_table,compiled_expr_list))
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+ {
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+ return 1;
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+ }
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+
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+ {
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+ std::cout << "--- EXPRTK ---" << std::endl;
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+ for (std::size_t i = 0; i < compiled_expr_list.size(); ++i)
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+ {
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+ run_exprtk_benchmark(x,y,compiled_expr_list[i],global_expression_list[i]);
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+ }
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+ }
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+
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+ {
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+ std::cout << "--- NATIVE ---" << std::endl;
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+ run_native_benchmark(x,y,native<double>::func00,global_expression_list[ 0]);
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+ run_native_benchmark(x,y,native<double>::func01,global_expression_list[ 1]);
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+ run_native_benchmark(x,y,native<double>::func02,global_expression_list[ 2]);
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+ run_native_benchmark(x,y,native<double>::func03,global_expression_list[ 3]);
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+ run_native_benchmark(x,y,native<double>::func04,global_expression_list[ 4]);
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+ run_native_benchmark(x,y,native<double>::func05,global_expression_list[ 5]);
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+ run_native_benchmark(x,y,native<double>::func06,global_expression_list[ 6]);
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+ run_native_benchmark(x,y,native<double>::func07,global_expression_list[ 7]);
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+ run_native_benchmark(x,y,native<double>::func08,global_expression_list[ 8]);
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+ run_native_benchmark(x,y,native<double>::func09,global_expression_list[ 9]);
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+ run_native_benchmark(x,y,native<double>::func10,global_expression_list[10]);
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+ run_native_benchmark(x,y,native<double>::func11,global_expression_list[11]);
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+ run_native_benchmark(x,y,native<double>::func12,global_expression_list[12]);
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+ run_native_benchmark(x,y,native<double>::func13,global_expression_list[13]);
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+ run_native_benchmark(x,y,native<double>::func14,global_expression_list[14]);
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+ run_native_benchmark(x,y,native<double>::func15,global_expression_list[15]);
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+ run_native_benchmark(x,y,native<double>::func16,global_expression_list[16]);
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+ }
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+
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+ {
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+ std::cout << "--- PARSE ----" << std::endl;
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+ run_parse_benchmark(symbol_table);
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+ }
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+
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+ return 0;
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+}
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+
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+void pgo_primer()
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+{
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+ exprtk::pgo_primer<double>();
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+
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+ static const double lower_bound_x = -50.0;
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+ static const double lower_bound_y = -50.0;
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+ static const double upper_bound_x = +50.0;
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+ static const double upper_bound_y = +50.0;
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+ static const double delta = 0.07;
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+
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+ double total = 0.0;
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+
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+ for (double x = lower_bound_x; x <= upper_bound_x; x += delta)
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+ {
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+ for (double y = lower_bound_y; y <= upper_bound_y; y += delta)
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+ {
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+ total += native<double>::func00(x,y);
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+ total += native<double>::func01(x,y);
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+ total += native<double>::func02(x,y);
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+ total += native<double>::func03(x,y);
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+ total += native<double>::func04(x,y);
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+ total += native<double>::func05(x,y);
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+ total += native<double>::func06(x,y);
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+ total += native<double>::func07(x,y);
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+ total += native<double>::func08(x,y);
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+ total += native<double>::func09(x,y);
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+ total += native<double>::func10(x,y);
|
|
|
+ total += native<double>::func11(x,y);
|
|
|
+ total += native<double>::func12(x,y);
|
|
|
+ total += native<double>::func13(x,y);
|
|
|
+ total += native<double>::func14(x,y);
|
|
|
+ total += native<double>::func15(x,y);
|
|
|
+ total += native<double>::func16(x,y);
|
|
|
+ }
|
|
|
+ }
|
|
|
+}
|
|
|
+
|
|
|
+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<double> symbol_table_t;
|
|
|
+ typedef exprtk::expression<double> expression_t;
|
|
|
+ typedef exprtk::parser<double> parser_t;
|
|
|
+
|
|
|
+ std::deque<expression_t> expression_list;
|
|
|
+
|
|
|
+ symbol_table_t symbol_table;
|
|
|
+
|
|
|
+ double a = 1.1;
|
|
|
+ double b = 2.2;
|
|
|
+ double c = 3.3;
|
|
|
+ double x = 2.123456;
|
|
|
+ double y = 3.123456;
|
|
|
+ double z = 4.123456;
|
|
|
+ double 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<double, 1> poly01;
|
|
|
+ exprtk::polynomial<double, 2> poly02;
|
|
|
+ exprtk::polynomial<double, 3> poly03;
|
|
|
+ exprtk::polynomial<double, 4> poly04;
|
|
|
+ exprtk::polynomial<double, 5> poly05;
|
|
|
+ exprtk::polynomial<double, 6> poly06;
|
|
|
+ exprtk::polynomial<double, 7> poly07;
|
|
|
+ exprtk::polynomial<double, 8> poly08;
|
|
|
+ exprtk::polynomial<double, 9> poly09;
|
|
|
+ exprtk::polynomial<double,10> poly10;
|
|
|
+ exprtk::polynomial<double,11> poly11;
|
|
|
+ exprtk::polynomial<double,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 double 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();
|
|
|
+ double 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(%30.10f) '%s'\n",
|
|
|
+ static_cast<int>(i + 1),
|
|
|
+ static_cast<int>(expression_list.size()),
|
|
|
+ (timer.time() * 1000000000.0) / (1.0 * rounds),
|
|
|
+ static_cast<int>(timer.time() * 1000000000.0),
|
|
|
+ sum,
|
|
|
+ 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);
|
|
|
+}
|