#include #include #include #include #include using namespace sf::Literals; // Use sf::Vector2i for tests (except for float vector algebra). // Test coverage is given, as there are no template specializations. TEST_CASE("[System] sf::Vector2") { SUBCASE("Construction") { SUBCASE("Default constructor") { const sf::Vector2i vector; CHECK(vector.x == 0); CHECK(vector.y == 0); } SUBCASE("(x, y) coordinate constructor") { const sf::Vector2i vector(1, 2); CHECK(vector.x == 1); CHECK(vector.y == 2); } SUBCASE("Conversion constructor") { const sf::Vector2f sourceVector(1.0f, 2.0f); const sf::Vector2i vector(sourceVector); CHECK(vector.x == static_cast(sourceVector.x)); CHECK(vector.y == static_cast(sourceVector.y)); } SUBCASE("Length and angle constructor") { CHECK(sf::Vector2f(0, 0_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, 45_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, 90_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, 135_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, 180_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, 270_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, 360_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, -90_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, -180_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, -270_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(0, -360_deg) == sf::Vector2f(0, 0)); CHECK(sf::Vector2f(1, 0_deg) == sf::Vector2f(1, 0)); CHECK(sf::Vector2f(1, 45_deg) == Approx(sf::Vector2f(std::sqrt(2.f) / 2.f, std::sqrt(2.f) / 2.f))); CHECK(sf::Vector2f(1, 90_deg) == Approx(sf::Vector2f(0, 1))); CHECK(sf::Vector2f(1, 135_deg) == Approx(sf::Vector2f(-std::sqrt(2.f) / 2.f, std::sqrt(2.f) / 2.f))); CHECK(sf::Vector2f(1, 180_deg) == Approx(sf::Vector2f(-1, 0))); CHECK(sf::Vector2f(1, 270_deg) == Approx(sf::Vector2f(0, -1))); CHECK(sf::Vector2f(1, 360_deg) == Approx(sf::Vector2f(1, 0))); CHECK(sf::Vector2f(1, -90_deg) == Approx(sf::Vector2f(0, -1))); CHECK(sf::Vector2f(1, -180_deg) == Approx(sf::Vector2f(-1, 0))); CHECK(sf::Vector2f(1, -270_deg) == Approx(sf::Vector2f(0, 1))); CHECK(sf::Vector2f(1, -360_deg) == Approx(sf::Vector2f(1, 0))); CHECK(sf::Vector2f(-1, 0_deg) == sf::Vector2f(-1, 0)); CHECK(sf::Vector2f(-1, 45_deg) == Approx(sf::Vector2f(-std::sqrt(2.f) / 2.f, -std::sqrt(2.f) / 2.f))); CHECK(sf::Vector2f(-1, 90_deg) == Approx(sf::Vector2f(0, -1))); CHECK(sf::Vector2f(-1, 135_deg) == Approx(sf::Vector2f(std::sqrt(2.f) / 2.f, -std::sqrt(2.f) / 2.f))); CHECK(sf::Vector2f(-1, 180_deg) == Approx(sf::Vector2f(1, 0))); CHECK(sf::Vector2f(-1, 270_deg) == Approx(sf::Vector2f(0, 1))); CHECK(sf::Vector2f(-1, 360_deg) == Approx(sf::Vector2f(-1, 0))); CHECK(sf::Vector2f(-1, -90_deg) == Approx(sf::Vector2f(0, 1))); CHECK(sf::Vector2f(-1, -180_deg) == Approx(sf::Vector2f(1, 0))); CHECK(sf::Vector2f(-1, -270_deg) == Approx(sf::Vector2f(0, -1))); CHECK(sf::Vector2f(-1, -360_deg) == Approx(sf::Vector2f(-1, 0))); CHECK(sf::Vector2f(4.2f, 0_deg) == sf::Vector2f(4.2f, 0)); CHECK(sf::Vector2f(4.2f, 45_deg) == Approx(sf::Vector2f(4.2f * std::sqrt(2.f) / 2.f, 4.2f * std::sqrt(2.f) / 2.f))); CHECK(sf::Vector2f(4.2f, 90_deg) == Approx(sf::Vector2f(0, 4.2f))); CHECK(sf::Vector2f(4.2f, 135_deg) == Approx(sf::Vector2f(-4.2f * std::sqrt(2.f) / 2.f, 4.2f * std::sqrt(2.f) / 2.f))); CHECK(sf::Vector2f(4.2f, 180_deg) == Approx(sf::Vector2f(-4.2f, 0))); CHECK(sf::Vector2f(4.2f, 270_deg) == Approx(sf::Vector2f(0, -4.2f))); CHECK(sf::Vector2f(4.2f, 360_deg) == Approx(sf::Vector2f(4.2f, 0))); CHECK(sf::Vector2f(4.2f, -90_deg) == Approx(sf::Vector2f(0, -4.2f))); CHECK(sf::Vector2f(4.2f, -180_deg) == Approx(sf::Vector2f(-4.2f, 0))); CHECK(sf::Vector2f(4.2f, -270_deg) == Approx(sf::Vector2f(0, 4.2f))); CHECK(sf::Vector2f(4.2f, -360_deg) == Approx(sf::Vector2f(4.2f, 0))); } } SUBCASE("Unary operations") { SUBCASE("-vector") { const sf::Vector2i vector(1, 2); const sf::Vector2i negatedVector = -vector; CHECK(negatedVector.x == -1); CHECK(negatedVector.y == -2); } } SUBCASE("Arithmetic operations between two vectors") { sf::Vector2i firstVector(2, 5); const sf::Vector2i secondVector(8, 3); SUBCASE("vector += vector") { firstVector += secondVector; CHECK(firstVector.x == 10); CHECK(firstVector.y == 8); } SUBCASE("vector -= vector") { firstVector -= secondVector; CHECK(firstVector.x == -6); CHECK(firstVector.y == 2); } SUBCASE("vector + vector") { const sf::Vector2i result = firstVector + secondVector; CHECK(result.x == 10); CHECK(result.y == 8); } SUBCASE("vector - vector") { const sf::Vector2i result = firstVector - secondVector; CHECK(result.x == -6); CHECK(result.y == 2); } } SUBCASE("Arithmetic operations between vector and scalar value") { sf::Vector2i vector(26, 12); const int scalar = 2; SUBCASE("vector * scalar") { const sf::Vector2i result = vector * scalar; CHECK(result.x == 52); CHECK(result.y == 24); } SUBCASE("scalar * vector") { const sf::Vector2i result = scalar * vector; CHECK(result.x == 52); CHECK(result.y == 24); } SUBCASE("vector *= scalar") { vector *= scalar; CHECK(vector.x == 52); CHECK(vector.y == 24); } SUBCASE("vector / scalar") { const sf::Vector2i result = vector / scalar; CHECK(result.x == 13); CHECK(result.y == 6); } SUBCASE("vector /= scalar") { vector /= scalar; CHECK(vector.x == 13); CHECK(vector.y == 6); } } SUBCASE("Comparison operations (two equal and one different vector)") { const sf::Vector2i firstEqualVector(1, 5); const sf::Vector2i secondEqualVector(1, 5); const sf::Vector2i differentVector(6, 9); SUBCASE("vector == vector") { CHECK(firstEqualVector == secondEqualVector); CHECK_FALSE(firstEqualVector == differentVector); } SUBCASE("vector != vector") { CHECK(firstEqualVector != differentVector); CHECK_FALSE(firstEqualVector != secondEqualVector); } } SUBCASE("Structured bindings") { sf::Vector2i vector(1, 2); SUBCASE("destructure by value") { auto [x, y] = vector; CHECK(x == 1); CHECK(y == 2); static_assert(std::is_same_v); x = 3; CHECK(x == 3); CHECK(vector.x == 1); } SUBCASE("destructure by ref") { auto& [x, y] = vector; CHECK(x == 1); CHECK(y == 2); static_assert(std::is_same_v); x = 3; CHECK(x == 3); CHECK(vector.x == 3); } } SUBCASE("Length and normalization") { const sf::Vector2f v(2.4f, 3.0f); CHECK(v.length() == Approx(3.84187f)); CHECK(v.lengthSq() == Approx(14.7599650969f)); CHECK(v.normalized() == Approx(sf::Vector2f(0.624695f, 0.780869f))); const sf::Vector2f w(-0.7f, -2.2f); CHECK(w.length() == Approx(2.30868f)); CHECK(w.lengthSq() == Approx(5.3300033f)); CHECK(w.normalized() == Approx(sf::Vector2f(-0.303204f, -0.952926f))); } SUBCASE("Rotations and angles") { const sf::Vector2f v(2.4f, 3.0f); CHECK(v.angle() == Approx(51.3402_deg)); CHECK(sf::Vector2f::UnitX.angleTo(v) == Approx(51.3402_deg)); CHECK(sf::Vector2f::UnitY.angleTo(v) == Approx(-38.6598_deg)); const sf::Vector2f w(-0.7f, -2.2f); CHECK(w.angle() == Approx(-107.65_deg)); CHECK(sf::Vector2f::UnitX.angleTo(w) == Approx(-107.65_deg)); CHECK(sf::Vector2f::UnitY.angleTo(w) == Approx(162.35_deg)); CHECK(v.angleTo(w) == Approx(-158.9902_deg)); CHECK(w.angleTo(v) == Approx(158.9902_deg)); const float ratio = w.length() / v.length(); CHECK(v.rotatedBy(-158.9902_deg) * ratio == Approx(w)); CHECK(w.rotatedBy(158.9902_deg) / ratio == Approx(v)); CHECK(v.perpendicular() == sf::Vector2f(-3.0f, 2.4f)); CHECK(v.perpendicular().perpendicular().perpendicular().perpendicular() == v); CHECK(v.rotatedBy(90_deg) == Approx(sf::Vector2f(-3.0f, 2.4f))); CHECK(v.rotatedBy(27.14_deg) == Approx(sf::Vector2f(0.767248f, 3.76448f))); CHECK(v.rotatedBy(-36.11_deg) == Approx(sf::Vector2f(3.70694f, 1.00925f))); } SUBCASE("Products and quotients") { const sf::Vector2f v(2.4f, 3.0f); const sf::Vector2f w(-0.7f, -2.2f); CHECK(v.dot(w) == Approx(-8.28f)); CHECK(w.dot(v) == Approx(-8.28f)); CHECK(v.cross(w) == Approx(-3.18f)); CHECK(w.cross(v) == Approx(+3.18f)); CHECK(v.cwiseMul(w) == Approx(sf::Vector2f(-1.68f, -6.6f))); CHECK(w.cwiseMul(v) == Approx(sf::Vector2f(-1.68f, -6.6f))); CHECK(v.cwiseDiv(w) == Approx(sf::Vector2f(-3.428571f, -1.363636f))); CHECK(w.cwiseDiv(v) == Approx(sf::Vector2f(-0.291666f, -0.733333f))); } SUBCASE("Projection") { const sf::Vector2f v(2.4f, 3.0f); const sf::Vector2f w(-0.7f, -2.2f); CHECK(v.projectedOnto(w) == Approx(sf::Vector2f(1.087430f, 3.417636f))); CHECK(v.projectedOnto(w) == Approx(sf::Vector2f(-1.55347f * w))); CHECK(w.projectedOnto(v) == Approx(sf::Vector2f(-1.346342f, -1.682927f))); CHECK(w.projectedOnto(v) == Approx(sf::Vector2f(-0.560976f * v))); CHECK(v.projectedOnto(sf::Vector2f::UnitX) == Approx(sf::Vector2f(2.4f, 0.0f))); CHECK(v.projectedOnto(sf::Vector2f::UnitY) == Approx(sf::Vector2f(0.0f, 3.0f))); } SUBCASE("Constexpr support") { constexpr sf::Vector2i v(1, 2); constexpr sf::Vector2i w(2, -3); static_assert(v.x == 1); static_assert(v.y == 2); static_assert(v + w == sf::Vector2i(3, -1)); static_assert(v.lengthSq() == 5); static_assert(v.perpendicular() == sf::Vector2i(-2, 1)); static_assert(v.dot(w) == -4); static_assert(v.cross(w) == -7); static_assert(v.cwiseMul(w) == sf::Vector2i(2, -6)); static_assert(w.cwiseDiv(v) == sf::Vector2i(2, -1)); } }