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C++ Mathematical Expression Library (ExprTk) http://www.partow.net/programming/exprtk/index.html

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Arash Partow
2013-01-31 00:28:22 +11:00
parent 0d8601550f
commit 2a0be4d5a3
5 changed files with 5047 additions and 2268 deletions
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258
exprtk_benchmark.cpp
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@ -2,8 +2,8 @@
**************************************************************
* C++ Mathematical Expression Toolkit Library *
* *
* Benchmarks *
* Author: Arash Partow (1999-2012) *
* ExprTk vs Native Benchmarks *
* Author: Arash Partow (1999-2013) *
* URL: http://www.partow.net/programming/exprtk/index.html *
* *
* Copyright notice: *
@ -18,6 +18,7 @@
#include <cstdio>
#include <cmath>
#include <iostream>
#include <string>
#include <deque>
@ -40,8 +41,17 @@ const std::string expression_list[] = {
"max(3.33, min(sqrt(1 - sin(2 * x) + cos(pi / y) / 3), 1.11))",
"if(avg(x,y) <= x + y, x - y, x * y) + 2 * pi / x"
};
const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string);
static const double lower_bound_x = -100.0;
static const double lower_bound_y = -100.0;
static const double upper_bound_x = +100.0;
static const double upper_bound_y = +100.0;
static const double delta = 0.0173;
template <typename T,
typename Allocator,
template <typename,typename> class Sequence>
@ -54,102 +64,95 @@ bool load_expression(exprtk::symbol_table<T>& symbol_table,
{
exprtk::expression<double> expression;
expression.register_symbol_table(symbol_table);
if (!parser.compile(expression_list[i],expression,opt_level))
{
std::cout << "[load_expression] - Parser Error: " << parser.error() << "\tExpression: " << expression_list[i] << std::endl;
printf("[load_expression] - Parser Error: %s\tExpression: %s\n",
parser.error().c_str(),
expression_list[i].c_str());
return false;
}
expr_seq.push_back(expression);
}
return true;
}
template <typename T>
void run_benchmark(T& x, T& y,
exprtk::expression<T>& expression,
const std::string& expr_string)
void run_exprtk_benchmark(T& x, T& y,
exprtk::expression<T>& expression,
const std::string& expr_string)
{
static const double lower_bound = -85.0;
static const double upper_bound = +85.0;
double delta = 0.01;
double total = 0.0;
unsigned int count = 0;
exprtk::timer timer;
timer.start();
for (x = lower_bound; x <= upper_bound; x += delta)
for (x = lower_bound_x; x <= upper_bound_x; x += delta)
{
for (y = lower_bound; y <= upper_bound; y += delta)
for (y = lower_bound_y; y <= upper_bound_y; y += delta)
{
total += expression.value();
++count;
}
}
timer.stop();
if (T(0.0) != total)
printf("[exprtk] Total Time:%12.8f Rate:%14.3fevals/sec Expression: %s\n",
timer.time(),
count / timer.time(),
expr_string.c_str());
else
std::cerr << "Error - expression: " << expr_string << "\n";
printf("run_exprtk_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str());
}
const double pi = 3.14159265358979323846;
template <typename T>
inline T avg(const T v1, const T v2)
{
return (v1 + v2) / T(2.0);
}
template <typename T>
inline T clamp(const T l, const T v, const T u)
{
return ((v < l) ? l : ((v > u) ? u : v));
}
template <typename T> inline T func00(const T x, const T y) { return (y + x); }
template <typename T> inline T func01(const T x, const T y) { return T(2.0) * (y + x); }
template <typename T> inline T func02(const T x, const T y) { return (T(2.0) * y + T(2.0) * x); }
template <typename T> inline T func03(const T x, const T y) { return (y + x / y) * (x - y / x); }
template <typename T> inline T func04(const T x, const T y) { return x / ((x + y) * (x - y)) / y; }
template <typename T> inline T func05(const T x, const T y) { return T(1.0) - ((x * y) + (y / x)) - T(3.0); }
template <typename T> inline T func06(const T x, const T y) { return (1.1*pow(x,T(1.0))+2.2*pow(y,T(2.0))-3.3*pow(x,T(3.0))+4.4*pow(y,T(15.0))-5.5*pow(x,T(23.0))+6.6*pow(y,T(55.0))); }
template <typename T> inline T func07(const T x, const T y) { return std::sin(T(2.0) * x) + std::cos(pi / y); }
template <typename T> inline T func08(const T x, const T y) { return T(1.0) - std::sin(2.0 * x) + std::cos(pi / y); }
template <typename T> inline T func09(const T x, const T y) { return std::sqrt(T(111.111) - std::sin(T(2.0) * x) + std::cos(pi / y) / T(333.333)); }
template <typename T> inline T func10(const T x, const T y) { return (std::pow(x,T(2.0)) / std::sin(T(2.0) * pi / y)) -x / T(2.0); }
template <typename T> inline T func11(const T x, const T y) { return (x + (std::cos(y - std::sin(2 / x * pi)) - std::sin(x - std::cos(2 * y / pi))) - y); }
template <typename T> inline T func12(const T x, const T y) { return clamp(T(-1.0), std::sin(T(2.0) * pi * x) + std::cos(y / T(2.0) * pi), + T(1.0)); }
template <typename T> inline T func13(const T x, const T y) { return std::max(T(3.33), std::min(sqrt(T(1.0) - std::sin(T(2.0) * x) + std::cos(pi / y) / T(3.0)), T(1.11))); }
template <typename T> inline T func14(const T x, const T y) { return ((avg(x,y) <= x + y) ? x - y : x * y) + T(2.0) * pi / x; }
template <typename T> inline T func00(const T x, const T y);
template <typename T> inline T func01(const T x, const T y);
template <typename T> inline T func02(const T x, const T y);
template <typename T> inline T func03(const T x, const T y);
template <typename T> inline T func04(const T x, const T y);
template <typename T> inline T func05(const T x, const T y);
template <typename T> inline T func06(const T x, const T y);
template <typename T> inline T func07(const T x, const T y);
template <typename T> inline T func08(const T x, const T y);
template <typename T> inline T func09(const T x, const T y);
template <typename T> inline T func10(const T x, const T y);
template <typename T> inline T func11(const T x, const T y);
template <typename T> inline T func12(const T x, const T y);
template <typename T> inline T func13(const T x, const T y);
template <typename T> inline T func14(const T x, const T y);
template <typename T, typename NativeFunction>
void run_native_benchmark(T& x, T& y, NativeFunction f, const std::string& expr_string)
{
static const double lower_bound = -85.0;
static const double upper_bound = +85.0;
double delta = 0.01;
double total = 0.0;
unsigned int count = 0;
exprtk::timer timer;
timer.start();
for (x = lower_bound; x <= upper_bound; x += delta)
for (x = lower_bound_x; x <= upper_bound_x; x += delta)
{
for (y = lower_bound; y <= upper_bound; y += delta)
for (y = lower_bound_y; y <= upper_bound_y; y += delta)
{
total += f(x,y);
++count;
}
}
timer.stop();
if (T(0.0) != total)
printf("[native] Total Time:%12.8f Rate:%14.3fevals/sec Expression: %s\n",
timer.time(),
count / timer.time(),
expr_string.c_str());
else
std::cerr << "Error - expression: " << expr_string << "\n";
printf("run_native_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str());
}
template <typename T>
@ -158,20 +161,28 @@ bool run_parse_benchmark(exprtk::symbol_table<T>& symbol_table)
static const std::size_t rounds = 1000000;
exprtk::parser<double> parser;
exprtk::expression<double> expression;
expression.register_symbol_table(symbol_table);
for (std::size_t i = 0; i < expression_list_size; ++i)
{
exprtk::timer timer;
timer.start();
for (std::size_t r = 0; r < rounds; ++r)
{
if (!parser.compile(expression_list[i],expression))
{
std::cout << "[run_parse_benchmark] - Parser Error: " << parser.error() << "\tExpression: " << expression_list[i] << std::endl;
printf("[run_parse_benchmark] - Parser Error: %s\tExpression: %s\n",
parser.error().c_str(),
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(),
@ -180,8 +191,12 @@ bool run_parse_benchmark(exprtk::symbol_table<T>& symbol_table)
return true;
}
void pgo_primer();
int main()
{
pgo_primer();
double x = 0;
double y = 0;
@ -204,16 +219,16 @@ int main()
}
{
std::cout << "--- EXPRTK [Opt All]---" << std::endl;
std::cout << "--- EXPRTK [All Optimisations] ---" << std::endl;
for (std::size_t i = 0; i < optimized_expr_list.size(); ++i)
{
run_benchmark(x,y,optimized_expr_list[i],expression_list[i]);
run_exprtk_benchmark(x,y,optimized_expr_list[i],expression_list[i]);
}
std::cout << "--- EXPRTK [No Opt]---" << std::endl;
std::cout << "--- EXPRTK [No Optimisations] ---" << std::endl;
for (std::size_t i = 0; i < expr_list.size(); ++i)
{
run_benchmark(x,y,expr_list[i],expression_list[i]);
run_exprtk_benchmark(x,y,expr_list[i],expression_list[i]);
}
}
@ -243,3 +258,142 @@ int main()
return 0;
}
void pgo_primer()
{
exprtk::pgo_primer<double>();
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 = 0.03;
double total = 0.0;
for (double x = lower_bound_x; x <= upper_bound_x; x += delta)
{
for (double y = lower_bound_y; y <= upper_bound_y; y += delta)
{
total += func00<double>(x,y);
total += func01<double>(x,y);
total += func02<double>(x,y);
total += func03<double>(x,y);
total += func04<double>(x,y);
total += func05<double>(x,y);
total += func06<double>(x,y);
total += func07<double>(x,y);
total += func08<double>(x,y);
total += func09<double>(x,y);
total += func10<double>(x,y);
total += func11<double>(x,y);
total += func12<double>(x,y);
total += func13<double>(x,y);
total += func14<double>(x,y);
}
}
}
const double pi = 3.14159265358979323846;
template <typename T>
inline T avg(const T v1, const T v2)
{
return (v1 + v2) / T(2.0);
}
template <typename T>
inline T clamp(const T l, const T v, const T u)
{
return ((v < l) ? l : ((v > u) ? u : v));
}
template <typename T>
inline T func00(const T x, const T y)
{
return (y + x);
}
template <typename T>
inline T func01(const T x, const T y)
{
return T(2.0) * (y + x);
}
template <typename T>
inline T func02(const T x, const T y)
{
return (T(2.0) * y + T(2.0) * x);
}
template <typename T>
inline T func03(const T x, const T y)
{
return (y + x / y) * (x - y / x);
}
template <typename T>
inline T func04(const T x, const T y)
{
return x / ((x + y) * (x - y)) / y;
}
template <typename T>
inline T func05(const T x, const T y)
{
return T(1.0) - ((x * y) + (y / x)) - T(3.0);
}
template <typename T>
inline T func06(const T x, const T y)
{
return (1.1*pow(x,T(1.0))+2.2*pow(y,T(2.0))-3.3*pow(x,T(3.0))+4.4*pow(y,T(15.0))-5.5*pow(x,T(23.0))+6.6*pow(y,T(55.0)));
}
template <typename T>
inline T func07(const T x, const T y)
{
return std::sin(T(2.0) * x) + std::cos(pi / y);
}
template <typename T>
inline T func08(const T x, const T y)
{
return T(1.0) - std::sin(2.0 * x) + std::cos(pi / y);
}
template <typename T>
inline T func09(const T x, const T y)
{
return std::sqrt(T(111.111) - std::sin(T(2.0) * x) + std::cos(pi / y) / T(333.333));
}
template <typename T>
inline T func10(const T x, const T y)
{
return (std::pow(x,T(2.0)) / std::sin(T(2.0) * pi / y)) -x / T(2.0);
}
template <typename T>
inline T func11(const T x, const T y)
{
return (x + (std::cos(y - std::sin(2 / x * pi)) - std::sin(x - std::cos(2 * y / pi))) - y);
}
template <typename T>
inline T func12(const T x, const T y)
{
return clamp(T(-1.0), std::sin(T(2.0) * pi * x) + std::cos(y / T(2.0) * pi), + T(1.0));
}
template <typename T>
inline T func13(const T x, const T y)
{
return std::max(T(3.33), std::min(sqrt(T(1.0) - std::sin(T(2.0) * x) + std::cos(pi / y) / T(3.0)), T(1.11)));
}
template <typename T>
inline T func14(const T x, const T y)
{
return ((avg(x,y) <= x + y) ? x - y : x * y) + T(2.0) * pi / x;
}