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function_test.cpp
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function_test.cpp
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/****************************************************************************
** Copyright (c) 2023, Adel Kara Slimane <adel.ks@zegrapher.com>
**
** This file is part of ZeCalculator.
**
** ZeCalculators is free software: you may copy, redistribute and/or modify it
** under the terms of the GNU Affero General Public License as published by the
** Free Software Foundation, either version 3 of the License, or (at your
** option) any later version.
**
** This file is distributed in the hope that it will be useful, but
** WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
** General Public License for more details.
**
** You should have received a copy of the GNU General Public License
** along with this program. If not, see <http://www.gnu.org/licenses/>.
**
****************************************************************************/
#include <zecalculator/zecalculator.h>
// testing specific headers
#include <boost/ut.hpp>
#include <zecalculator/test-utils/print-utils.h>
#include <zecalculator/test-utils/structs.h>
#include <zecalculator/test-utils/utils.h>
#include <numbers>
using namespace zc;
int main()
{
using namespace boost::ut;
"multi-parameter function evaluation"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
auto& f = world.new_object() = "f(omega,t) = cos(omega * t) + omega * t";
const double omega = 2;
const double t = 3;
// note: the order of the arguments is important
const double res = f(omega, t).value();
const double expected_res = std::cos(omega * t) + omega * t;
expect(res == expected_res);
// dynamic object tests
auto* obj = world.get("f");
expect(obj && (*obj)(omega, t).value() == expected_res);
} | std::tuple<FAST_TEST, RPN_TEST>{};
"function evaluation shadowing a global constant"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
world.new_object() = "x = 2.0";
auto& f = world.new_object() = "f(x) = cos(x) + x";
const double res = f(1.0).value();
const double expected_res = std::cos(1.0) + 1.0;
expect(res == expected_res);
// dynamic object tests
auto* x_obj = world.get("x");
expect(x_obj && (*x_obj)().value() == 2.0);
auto* f_obj = world.get("f");
expect(f_obj && (*f_obj)(1.0).value() == expected_res);
} | std::tuple<FAST_TEST, RPN_TEST>{};
"function calling another function"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
auto& f1 = world.new_object();
auto& f2 = world.new_object();
f2 = "f2(x) = cos(x) + 2*x^2";
f1 = "f1(x) = cos(x) + x + f2(2*x)";
expect(bool(f1));
expect(bool(f2));
auto cpp_f2 = [](double x)
{
return std::cos(x) + 2*x*x;
};
auto cpp_f1 = [cpp_f2](double x)
{
return std::cos(x) + x + cpp_f2(2*x);
};
double x = 6.4;
const auto expected_res2 = f2(2*x);
const bool res2_status = bool(expected_res2);
expect(res2_status);
using namespace boost::ut::literals;
if (res2_status)
expect(expected_res2.value() - cpp_f2(2*x) == 0.0_d);
const auto expected_res1 = f1(x);
expect(bool(expected_res1));
if (bool(expected_res1))
expect(std::fabs(expected_res1.value() - cpp_f1(x)) < 1e-11) << expected_res1.value() << " = " << cpp_f1(x);
} | std::tuple<FAST_TEST, RPN_TEST>{};
"function overwrites"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
auto& cst = world.new_object() = "my_constant = 3.0";
auto& f = world.new_object() = "f(x) = x + my_constant + cos(math::pi)";
auto* f_obj = world.get("f");
expect(f_obj);
double cpp_cst = 3.0;
auto cpp_f_1 = [&](double x)
{
return x + cpp_cst + std::cos(std::numbers::pi);
};
expect(f(1).value() == cpp_f_1(1.0));
expect((*f_obj)(1) == cpp_f_1(1.0));
cst.template value_as<GlobalConstant>().value = 5.0;
cpp_cst = 5.0;
expect(f(1).value() == cpp_f_1(1.0));
expect((*f_obj)(1).value() == cpp_f_1(1.0));
world.new_object() = "g(z) = 2*z + my_constant";
// override expression and variable name of f
f = "f(y) = y + my_constant + g(y)";
auto cpp_g = [&](double z)
{
return 2*z + cpp_cst;
};
auto cpp_f_2 = [&](double y)
{
return y + cpp_cst + cpp_g(y);
};
expect(f(3).value() == cpp_f_2(3));
expect((*f_obj)(3).value() == cpp_f_2(3));
} | std::tuple<FAST_TEST, RPN_TEST>{};
"nested multi-variable functions"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
world.new_object() = "h(c,d) = c*d + c-d";
world.new_object() = "g(a,b) = h(a, a*b) + 3*a - b";
auto& f = world.new_object() = "f(x, y) = h(x, g(x, y)) + g(y, h(y, x))";
auto cpp_h = [](double c, double d) {
return c*d + c-d;
};
auto cpp_g = [&](double a, double b) {
return cpp_h(a, a*b) + 3*a - b; };
auto cpp_f = [&](double x, double y) {
return cpp_h(x, cpp_g(x, y)) + cpp_g(y, cpp_h(y, x));
};
const double x = 5, y = 3;
expect(f(x, y).value() == cpp_f(x, y));
auto* f_obj = world.get("f");
expect(f_obj && (*f_obj)(x, y).value() == cpp_f(x, y));
} | std::tuple<FAST_TEST, RPN_TEST>{};
"function with dot in name"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
// add a function named "f", note that the constant "my_constant" is only defined after
auto& fx = world.new_object() = "f.x(x) = 1 + x";
auto& fy = world.new_object() = "f.y = 2.0 + f.x(1)";
expect(fx(1).value() == 2.0);
expect(fy().value() == 4.0);
} | std::tuple<FAST_TEST, RPN_TEST>{};
"calling function with wrong number of arguments"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
// add a function named "f", note that the constant "my_constant" is only defined after
world.new_object() = "f(x, y) = 1 + x + y";
std::string var_expr = "1 + f(1, 2, 3)";
tl::expected<double, Error> res = world.evaluate(var_expr);
expect(not res.has_value());
expect(res.error() == Error::mismatched_fun_args(parsing::tokens::Text{"1, 2, 3", 6}, var_expr))
<< res.error();
} | std::tuple<FAST_TEST, RPN_TEST>{};
"multi variable function"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
// add a function named "f", note that the constant "my_constant" is only defined after
auto& f = world.new_object() = "f(u, v, w, x, y, z) = 1 + u + v + w + x + y + z";
expect(f.has_value()) << fatal;
auto res = f(1, 1, 1, 1, 1, 1);
expect(bool(res)) << fatal;
expect(res.value() == 7_i);
} | std::tuple<FAST_TEST, RPN_TEST>{};
"parametric function benchmark"_test = []<class StructType>()
{
constexpr auto duration = nanoseconds(500ms);
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
constexpr std::string_view data_type_str_v = std::is_same_v<StructType, FAST_TEST> ? "FAST" : "RPN";
MathWorld<type> world;
auto& t = (world.new_object() = "t = 1").template value_as<GlobalConstant>();
auto& f = (world.new_object() = "f(x) =3*cos(t*x) + 2*sin(x/t) + 4").template value_as<Function<type>>();
double x = 0;
double res = 0;
size_t iterations =
loop_call_for(duration, [&]{
res += f(x).value();
x++;
t.value += 1;
});
std::cout << "Avg zc::Function<" << data_type_str_v << "> eval time: "
<< duration_cast<nanoseconds>(duration / iterations).count() << "ns"
<< std::endl;
std::cout << "dummy val: " << res << std::endl;
}
{
double cpp_t = 1;
auto cpp_f = [&](double x) {
return 3*cos(cpp_t*x) + 2*sin(x/cpp_t) + 4;
};
double x = 0;
double res = 0;
size_t iterations =
loop_call_for(duration, [&]{
res += cpp_f(x);
iterations++;
x++;
cpp_t++;
});
std::cout << "Avg C++ function eval time: " << duration_cast<nanoseconds>(duration/iterations).count() << "ns" << std::endl;
std::cout << "dummy val: " << res << std::endl;
}
} | std::tuple<FAST_TEST, RPN_TEST>{};
"sequence direct dependencies"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
// add a function named "f", note that the constant "my_constant" is only defined after
world.new_object() = "f(x, y) = 1 + x + y";
auto& seq = world.new_object() = "u(n) = 0 ; 1 + f(1, 1) + f(2, 2) + u(n-1) + 3*u(n-1) + cos(n)";
constexpr auto t = deps::Dep::FUNCTION;
expect(seq.direct_dependencies()
== deps::Deps{{"u", {t, {35, 46}}}, {"f", {t, {15, 25}}}, {"cos", {t, {55}}}});
} | std::tuple<FAST_TEST, RPN_TEST>{};
"function direct dependencies"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
// add a function named "f", note that the constant "my_constant" is only defined after
world.new_object() = "my_constant = 3.0";
auto& f = world.new_object() = "f( x) = x + my_constant + cos(math::pi)";
using namespace std::string_literals;
expect(f.direct_dependencies()
== deps::Deps{{"my_constant", {deps::Dep::VARIABLE, {13}}},
{"cos", {deps::Dep::FUNCTION, {27}}},
{"math::pi", {deps::Dep::VARIABLE, {31}}}}); // "u" and "f"
} | std::tuple<FAST_TEST, RPN_TEST>{};
"name of function in error state"_test = []<class StructType>()
{
constexpr parsing::Type type = std::is_same_v<StructType, FAST_TEST> ? parsing::Type::FAST : parsing::Type::RPN;
MathWorld<type> world;
auto& f = world.new_object() = "f( x) = cos(x) * g(X)";
expect(f.get_name() == "f");
} | std::tuple<FAST_TEST, RPN_TEST>{};
}