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

This commit is contained in:
Arash Partow
2015-04-28 16:50:54 +10:00
parent e39ec67df9
commit 85c094a1aa
6 changed files with 364 additions and 221 deletions

View File

@ -5719,28 +5719,28 @@ inline bool run_test19()
compositor_t compositor;
// f(x) = x + 2
compositor.add("f","x + 2","x");
compositor.add(function_t("f","x + 2","x"));
// g(x) = x^2-3
compositor.add("g","x^2 - 3","x");
compositor.add(function_t("g","x^2 - 3","x"));
// fof(x) = f(f(x))
compositor.add("fof","f(f(x))","x");
compositor.add(function_t("fof","f(f(x))","x"));
// gog(x) = g(g(x))
compositor.add("gog","g(g(x))","x");
compositor.add(function_t("gog","g(g(x))","x"));
// fog(x) = f(g(x))
compositor.add("fog","f(g(x))","x");
compositor.add(function_t("fog","f(g(x))","x"));
// gof(x) = g(f(x))
compositor.add("gof","g(f(x))","x");
compositor.add(function_t("gof","g(f(x))","x"));
// fogof(x) = f(g(f(x)))
compositor.add("fogof","f(g(f(x)))","x");
compositor.add(function_t("fogof","f(g(f(x)))","x"));
// gofog(x) = g(f(g(x)))
compositor.add("gofog","g(f(g(x)))","x");
compositor.add(function_t("gofog","g(f(g(x)))","x"));
symbol_table_t& symbol_table = compositor.symbol_table();
symbol_table.add_constants();
@ -5798,6 +5798,7 @@ inline bool run_test19()
}
const std::size_t rounds = 100;
for (std::size_t r = 0; r < rounds; ++r)
{
T x = T(1);
@ -5811,29 +5812,44 @@ inline bool run_test19()
// f0() = 6
compositor
.add("f0"," 3 * 2");
.add(
function_t("f0")
.expression("3 * 2"));
// f1(x) = 5 * (f0 + x)
compositor
.add("f1","5 * (f0 + x)","x");
.add(
function_t("f1")
.var("x")
.expression("5 * (f0 + x)"));
// f2(x,y) = 7 * (f1(x) + f1(y))
compositor
.add("f2","7 * (f1(x) + f1(y))","x","y");
.add(
function_t("f2")
.var("x").var("y")
.expression("7 * (f1(x) + f1(y))"));
// f3(x,y,z) = 9 * (f2(x,y) + f2(y,z) + f2(x,z))
compositor
.add("f3","9 * (f2(x,y) + f2(y,z) + f2(x,z))","x","y","z");
.add(
function_t("f3")
.var("x").var("y").var("z")
.expression("9 * (f2(x,y) + f2(y,z) + f2(x,z))"));
// f4(x,y,z,w) = 11 * (f3(x,y,z) + f3(y,z,w) + f3(z,w,z))
compositor
.add("f4","11 * (f3(x,y,z) + f3(y,z,w) + f3(z,w,x))","x","y","z","w");
.add(
function_t("f4")
.var("x").var("y").var("z").var("w")
.expression("11 * (f3(x,y,z) + f3(y,z,w) + f3(z,w,x))"));
// f5(x,y,z,w,u) = 13 * (f4(x,y,z,w) + f4(y,z,w,u) + f4(z,w,u,x) + f4(w,u,x,y))
compositor
.add("f5",
"13 * (f4(x,y,z,w) + f4(y,z,w,u) + f4(z,w,u,x) + f4(w,u,x,y))",
"x","y","z","w","u");
.add(
function_t("f5")
.var("x").var("y").var("z").var("w").var("u")
.expression("13 * (f4(x,y,z,w) + f4(y,z,w,u) + f4(z,w,u,x) + f4(w,u,x,y))"));
// f6(x,y,z,w,u,v) = 17 * (f5(x,y,z,w,u) + f5(y,z,w,u,v) + f5(z,w,u,v,x) + f5(w,u,v,x,y))
compositor
@ -5887,6 +5903,8 @@ inline bool run_test19()
T(2122700580)
};
bool failure = true;
for (std::size_t i = 0; i < expr_str_list_size; ++i)
{
expression_t expression;
@ -5898,7 +5916,8 @@ inline bool run_test19()
parser.error().c_str(),
expr_str_list[i].c_str());
return false;
failure = true;
continue;
}
T result = expression.value();
@ -5910,9 +5929,13 @@ inline bool run_test19()
result_list[i],
result);
return false;
failure = true;
continue;
}
}
if (!failure)
return false;
}
{
@ -5921,41 +5944,51 @@ inline bool run_test19()
compositor_t compositor;
compositor
.add("is_prime_impl1",
.add(
function_t(
"is_prime_impl1",
"if (y == 1,true, "
" if (0 == (x % y),false, "
" is_prime_impl1(x,y - 1))) ",
"x","y");
"x","y"));
compositor
.add("is_prime1",
.add(
function_t(
"is_prime1",
"if (frac(x) != 0, false, "
" if (x <= 0, false, "
" is_prime_impl1(x,min(x - 1,trunc(sqrt(x)) + 1)))) ",
"x");
"x"));
compositor
.add("is_prime_impl2",
.add(
function_t(
"is_prime_impl2",
"switch "
"{ "
" case y == 1 : true; "
" case (x % y) == 0 : false; "
" default : is_prime_impl2(x,y - 1);"
"} ",
"x","y");
"x","y"));
compositor
.add("is_prime2",
.add(
function_t(
"is_prime2",
"switch "
"{ "
" case x <= 0 : false; "
" case frac(x) != 0 : false; "
" default : is_prime_impl2(x,min(x - 1,trunc(sqrt(x)) + 1));"
"} ",
"x");
"x"));
compositor
.add("is_prime_impl3",
.add(
function_t(
"is_prime_impl3",
"while (y > 0) "
"{ "
" switch "
@ -5965,20 +5998,24 @@ inline bool run_test19()
" default : y := y - 1; "
" } "
"} ",
"x","y");
"x","y"));
compositor
.add("is_prime3",
.add(
function_t(
"is_prime3",
"switch "
"{ "
" case x <= 0 : false; "
" case frac(x) != 0 : false; "
" default : is_prime_impl3(x,min(x - 1,trunc(sqrt(x)) + 1));"
"} ",
"x");
"x"));
compositor
.add("is_prime_impl4",
.add(
function_t(
"is_prime_impl4",
"switch "
"{ "
" case 1 == x : false; "
@ -5998,17 +6035,19 @@ inline bool run_test19()
" } "
" }; "
"} ",
"x","y");
"x","y"));
compositor
.add("is_prime4",
.add(
function_t(
"is_prime4",
"switch "
"{ "
" case x <= 0 : false; "
" case frac(x) != 0 : false; "
" default : is_prime_impl4(x,min(x - 1,trunc(sqrt(x)) + 1));"
"} ",
"x");
"x"));
symbol_table_t& symbol_table = compositor.symbol_table();
symbol_table.add_constants();
@ -6126,24 +6165,30 @@ inline bool run_test19()
compositor_t compositor;
compositor
.add("fibonacci1",
.add(
function_t(
"fibonacci1",
"if (x == 0,0, "
" if (x == 1,1, "
" fibonacci1(x - 1) + fibonacci1(x - 2)))",
"x");
"x"));
compositor
.add("fibonacci2",
.add(
function_t(
"fibonacci2",
"switch "
"{ "
" case x == 0 : 0; "
" case x == 1 : 1; "
" default : fibonacci2(x - 1) + fibonacci2(x - 2);"
"} ",
"x");
"x"));
compositor
.add("fibonacci_impl3",
.add(
function_t(
"fibonacci_impl3",
"switch "
"{ "
" case x == 0 : 0; "
@ -6157,15 +6202,19 @@ inline bool run_test19()
" z "
" }; "
"} ",
"x","y","z","w");
"x","y","z","w"));
compositor
.add("fibonacci3",
.add(
function_t(
"fibonacci3",
"fibonacci_impl3(x,0,1,0)",
"x");
"x"));
compositor
.add("fibonacci_impl4",
.add(
function_t(
"fibonacci_impl4",
"switch "
"{ "
" case x == 0 : 0; "
@ -6179,20 +6228,24 @@ inline bool run_test19()
" z "
" until (x <= 1); "
"} ",
"x","y","z","w");
"x","y","z","w"));
compositor
.add("fibonacci4",
.add(
function_t(
"fibonacci4",
"fibonacci_impl4(x,0,1,0)",
"x");
"x"));
compositor
.add("fibonacci5",
.add(
function_t(
"fibonacci5",
"if ((x == 0) or (x == 1)) "
" x; "
"else "
" fibonacci5(x - 1) + fibonacci5(x - 2); ",
"x");
"x"));
symbol_table_t& symbol_table = compositor.symbol_table();
symbol_table.add_constants();
@ -6309,7 +6362,9 @@ inline bool run_test19()
compositor_t compositor(symbol_table);
compositor
.add("newton_sqrt_impl",
.add(
function_t(
"newton_sqrt_impl",
"switch "
"{ "
" case x < 0 : -inf; "
@ -6326,11 +6381,13 @@ inline bool run_test19()
" until ((z -= 1) <= 0); "
" }; "
"} ",
"x","y","z");
"x","y","z"));
compositor
.add("newton_sqrt",
"newton_sqrt_impl(x,0,0)","x");
.add(
function_t(
"newton_sqrt",
"newton_sqrt_impl(x,0,0)","x"));
std::string expression_str = "newton_sqrt(x)";
@ -6380,7 +6437,9 @@ inline bool run_test19()
compositor_t compositor(symbol_table);
compositor
.add("mandelbrot",
.add(
function_t(
"mandelbrot",
" var width := 118; "
" var height := 41; "
" var imag_max := +1; "
@ -6412,7 +6471,7 @@ inline bool run_test19()
" break; "
" }; "
" }; "
" } ");
" } "));
std::string expression_str = "mandelbrot()";
@ -6447,13 +6506,15 @@ inline bool run_test19()
compositor_t compositor(symbol_table);
compositor
.add("fooboo",
.add(
function_t(
"fooboo",
" var x := input; "
" if (x > 0) "
" fooboo(x - 1) + x; "
" else "
" 0; ",
"input");
"input"));
std::string expression_str = "fOoBoO(x)";