librecad/src/lib/math/tests/rs_math_tests.cpp

/****************************************************************************
**
** This file is part of the LibreCAD project, a 2D CAD program
**
** Copyright (C) 2025 LibreCAD (librecad.org)
** Copyright (C) 2025 Dongxu Li github.com/dxli
**
**
** This program is free software; you can redistribute it and/or
** modify it under the terms of the GNU General Public License
** as published by the Free Software Foundation; either version 2
** of the License, or (at your option) any later version.
**
** This program 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, write to the Free Software
** Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
**
** This copyright notice MUST APPEAR in all copies of the script!
**
**********************************************************************/
#include <catch2/catch_test_macros.hpp>
#include <catch2/matchers/catch_matchers_floating_point.hpp>
#include <QString>

#include "rs_debug.h"
#include "rs_math.h"
namespace {
constexpr double EPS = 1e-6;
}

TEST_CASE("RS_Math::correctAngle") {
    REQUIRE(std::abs(RS_Math::correctAngle(0.0) - 0.0) < EPS);
    REQUIRE(std::abs(RS_Math::correctAngle(2 * M_PI) - 0.0) < EPS);
    REQUIRE(std::abs(RS_Math::correctAngle(-M_PI) - M_PI) < EPS);
    REQUIRE(std::abs(RS_Math::correctAngle(3 * M_PI) - M_PI) < EPS);
    REQUIRE(std::abs(RS_Math::correctAngle(4 * M_PI + M_PI / 2) - M_PI / 2) < EPS);
}

TEST_CASE("RS_Math::rad2deg") {
    REQUIRE(std::abs(RS_Math::rad2deg(0.0) - 0.0) < EPS);
    REQUIRE(std::abs(RS_Math::rad2deg(M_PI) - 180.0) < EPS);
    REQUIRE(std::abs(RS_Math::rad2deg(M_PI / 2) - 90.0) < EPS);
    REQUIRE(std::abs(RS_Math::rad2deg(-M_PI) - -180.0) < EPS);
}

TEST_CASE("RS_Math::deg2rad") {
    REQUIRE(std::abs(RS_Math::deg2rad(0.0) - 0.0) < EPS);
    REQUIRE(std::abs(RS_Math::deg2rad(180.0) - M_PI) < EPS);
    REQUIRE(std::abs(RS_Math::deg2rad(90.0) - M_PI / 2) < EPS);
    REQUIRE(std::abs(RS_Math::deg2rad(-180.0) - -M_PI) < EPS);
}

TEST_CASE("RS_Math::rad2gra") {
    REQUIRE(std::abs(RS_Math::rad2gra(0.0) - 0.0) < EPS);
    REQUIRE(std::abs(RS_Math::rad2gra(M_PI) - 200.0) < EPS);
    REQUIRE(std::abs(RS_Math::rad2gra(M_PI / 2) - 100.0) < EPS);
}

TEST_CASE("RS_Math::gra2rad") {
    REQUIRE(std::abs(RS_Math::gra2rad(0.0) - 0.0) < EPS);
    REQUIRE(std::abs(RS_Math::gra2rad(200.0) - M_PI) < EPS);
    REQUIRE(std::abs(RS_Math::gra2rad(100.0) - M_PI / 2) < EPS);
}

TEST_CASE("RS_Math::doubleToString") {
    REQUIRE(RS_Math::doubleToString(3.14159, 2) == "3.14");
    REQUIRE(RS_Math::doubleToString(42.0, 0) == "42");
    REQUIRE(RS_Math::doubleToString(1.23456789, 8) == "1.23456789");
    REQUIRE(RS_Math::doubleToString(0.0, 3) == "0.000");
    REQUIRE(RS_Math::doubleToString(-5.678, 1) == "-5.7");
}

TEST_CASE("RS_Math::eval") {
    bool ok;
    REQUIRE(std::abs(RS_Math::eval("2+3", &ok) - 5.0) < EPS);
    REQUIRE(ok == true);
    REQUIRE(std::abs(RS_Math::eval("10-4", &ok) - 6.0) < EPS);
    REQUIRE(ok == true);
    REQUIRE(std::abs(RS_Math::eval("3*4", &ok) - 12.0) < EPS);
    REQUIRE(ok == true);
    REQUIRE(std::abs(RS_Math::eval("8/2", &ok) - 4.0) < EPS);
    REQUIRE(ok == true);
    REQUIRE(std::abs(RS_Math::eval("3.14", &ok) - 3.14) < EPS);
    REQUIRE(ok == true);
    REQUIRE(std::abs(RS_Math::eval("invalid", &ok) - 0.0) < EPS);
    REQUIRE(ok == false);
}

TEST_CASE("RS_Math::pow") {
    REQUIRE(std::abs(RS_Math::pow(2.0, 3.0) - 8.0) < EPS);
    REQUIRE(std::abs(RS_Math::pow(9.0, 0.5) - 3.0) < EPS);
    REQUIRE(std::abs(RS_Math::pow(0.0, 1.0) - 0.0) < EPS);
}

TEST_CASE("RS_Math::eval tests", "[rs_math]") {
    bool ok;

    SECTION("Basic arithmetic") {
        double result = RS_Math::eval("2 + 3", &ok);
        REQUIRE(ok == true);
        REQUIRE_THAT(result, Catch::Matchers::WithinAbs(5.0, 1e-6));
    }

    SECTION("Expression with parentheses") {
        double result = RS_Math::eval("(2 + 3) * 4", &ok);
        REQUIRE(ok == true);
        REQUIRE_THAT(result, Catch::Matchers::WithinAbs(20.0, 1e-6));
    }

    SECTION("Invalid expression") {
        double result = RS_Math::eval("2 + * 3", &ok);
        REQUIRE(ok == false);
        REQUIRE(result == 0.0); // Default return on failure
    }

    SECTION("Trigonometric function") {
        double result = RS_Math::eval("sin(0)", &ok);
        REQUIRE(ok == true);
        REQUIRE_THAT(result, Catch::Matchers::WithinAbs(0.0, 1e-6));
    }
}

TEST_CASE("RS_Math::derationalize tests", "[rs_math]") {
    QString result;

    SECTION("Invalid rational") {
        result = RS_Math::derationalize("1/0");
        REQUIRE(result == "1/0");
    }

    SECTION("Decimal input") {
        result = RS_Math::derationalize("3.14");
        REQUIRE_THAT(result.toDouble(), Catch::Matchers::WithinULP(3.14, 2));
    }

/* 
// TODO: fix for those two formats in RS_Math::derationalize()
    SECTION("Fractal input") {
        result = RS_Math::derationalize("2 1/4");
        REQUIRE_THAT(result.toDouble(), Catch::Matchers::WithinAbs(2.25, 1e-6));
    }

    SECTION("Fractal input") {
        result = RS_Math::derationalize("2-1/4");
        REQUIRE_THAT(result.toDouble(), Catch::Matchers::WithinAbs(2.25, 1e-6));
    }
*/
}