Math/Plane: Rename Distance method to SignedDistance
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@ -31,7 +31,7 @@ namespace Nz
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{
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UInt64 matFlags = 1;
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float distanceNear = frustum.GetPlane(FrustumPlane::Near).Distance(m_worldInstance.GetWorldMatrix().GetTranslation());
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float distanceNear = frustum.GetPlane(FrustumPlane::Near).SignedDistance(m_worldInstance.GetWorldMatrix().GetTranslation());
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UInt64 distance = DistanceAsSortKey(distanceNear);
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// Transparent RQ index:
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@ -32,7 +32,7 @@ namespace Nz
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{
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UInt64 matFlags = 1;
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float distanceNear = frustum.GetPlane(FrustumPlane::Near).Distance(m_worldInstance.GetWorldMatrix().GetTranslation());
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float distanceNear = frustum.GetPlane(FrustumPlane::Near).SignedDistance(m_worldInstance.GetWorldMatrix().GetTranslation());
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UInt64 distance = DistanceAsSortKey(distanceNear);
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// Transparent RQ index:
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@ -151,7 +151,7 @@ namespace Nz
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Vector3<T> projectedExtents = extents * plane.normal.GetAbs();
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float radius = projectedExtents.x + projectedExtents.y + projectedExtents.z;
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float distance = plane.Distance(center);
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float distance = plane.SignedDistance(center);
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if (distance < T(-radius))
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return false;
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}
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@ -182,7 +182,7 @@ namespace Nz
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{
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for (const auto& plane : m_planes)
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{
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if (plane.Distance(sphere.GetPosition()) < -sphere.radius)
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if (plane.SignedDistance(sphere.GetPosition()) < -sphere.radius)
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return false;
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}
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@ -200,7 +200,7 @@ namespace Nz
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{
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for (const auto& plane : m_planes)
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{
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if (plane.Distance(point) < T(0.0))
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if (plane.SignedDistance(point) < T(0.0))
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return false;
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}
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@ -222,7 +222,7 @@ namespace Nz
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std::size_t j;
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for (j = 0; j < pointCount; j++ )
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{
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if (plane.Distance(points[j]) > T(0.0))
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if (plane.SignedDistance(points[j]) > T(0.0))
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break;
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}
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@ -321,7 +321,7 @@ namespace Nz
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Vector3<T> projectedExtents = extents * plane.normal.GetAbs();
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float radius = projectedExtents.x + projectedExtents.y + projectedExtents.z;
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float distance = plane.Distance(center);
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float distance = plane.SignedDistance(center);
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if (distance < T(-radius))
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return IntersectionSide::Outside;
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@ -358,7 +358,7 @@ namespace Nz
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for (const auto& plane : m_planes)
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{
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T distance = plane.Distance(sphere.GetPosition());
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T distance = plane.SignedDistance(sphere.GetPosition());
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if (distance < -sphere.radius)
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return IntersectionSide::Outside;
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else if (distance < sphere.radius)
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@ -385,7 +385,7 @@ namespace Nz
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std::size_t j;
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for (j = 0; j < pointCount; j++ )
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{
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if (plane.Distance(points[j]) > T(0.0))
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if (plane.SignedDistance(points[j]) > T(0.0))
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break;
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}
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@ -30,11 +30,10 @@ namespace Nz
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constexpr bool ApproxEqual(const Plane& plane, T maxDifference = std::numeric_limits<T>::epsilon()) const;
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constexpr T Distance(T x, T y, T z) const;
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constexpr T Distance(const Vector3<T>& point) const;
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Plane& Normalize(T* length = nullptr);
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constexpr T SignedDistance(const Vector3<T>& point) const;
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std::string ToString() const;
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constexpr Plane& operator=(const Plane& other) = default;
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@ -113,22 +113,17 @@ namespace Nz
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return NumberEquals(distance, plane.distance, maxDifference);
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}
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/*!
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* \brief Returns the distance from the plane to the point
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* \return Distance to the point
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*
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* \param x X position of the point
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* \param y Y position of the point
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* \param z Z position of the point
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*
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* \remark If T is negative, it means that the point is in the opposite direction of the normal
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*
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* \see Distance
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*/
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template<typename T>
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constexpr T Plane<T>::Distance(T x, T y, T z) const
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Plane<T>& Plane<T>::Normalize(T* length)
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{
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return Distance(Vector3<T>(x, y, z));
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T normalLength = normal.GetLength();
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normal /= normalLength;
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distance /= normalLength;
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if (length)
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*length = normalLength;
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return *this;
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}
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/*!
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@ -142,24 +137,11 @@ namespace Nz
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* \see Distance
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*/
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template<typename T>
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constexpr T Plane<T>::Distance(const Vector3<T>& point) const
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constexpr T Plane<T>::SignedDistance(const Vector3<T>& point) const
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{
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return normal.DotProduct(point) + distance; // ax + by + cz + d = 0.
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}
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template<typename T>
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Plane<T>& Plane<T>::Normalize(T* length)
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{
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T normalLength = normal.GetLength();
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normal /= normalLength;
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distance /= normalLength;
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if (length)
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*length = normalLength;
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return *this;
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}
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/*!
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* \brief Gives a string representation
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* \return A string representation of the object: "Plane(Normal: Vector3(x, y, z); Distance: w)"
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@ -19,30 +19,30 @@ SCENARIO("Plane", "[MATH][PLANE]")
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AND_THEN("They have the same distance from the same point")
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{
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Nz::Vector3f point(-2.f, 3.f, 1.f);
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REQUIRE(firstPlane.Distance(point) == Catch::Approx(secondPlane.Distance(point)));
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REQUIRE(firstPlane.Distance(-2.f, 3.f, 1.f) == Catch::Approx(0.1547f));
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REQUIRE(firstPlane.SignedDistance(point) == Catch::Approx(secondPlane.SignedDistance(point)));
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REQUIRE(firstPlane.SignedDistance({ -2.f, 3.f, 1.f }) == Catch::Approx(0.1547f));
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}
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AND_THEN("Distance between Plane (0, 1, 0), distance 1 and point (0, 2, 0) should be 1")
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{
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 1.f).Distance(Nz::Vector3f::UnitY() * 2.f) == Catch::Approx(1.f));
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 1.f).SignedDistance(Nz::Vector3f::UnitY() * 2.f) == Catch::Approx(1.f));
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}
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AND_THEN("Distance between Plane (0, 1, 0), distance 5 and point (0, 2, 0) should be -3")
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{
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 5.f).Distance(Nz::Vector3f::UnitY() * 2.f) == Catch::Approx(-3.f));
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 5.f).SignedDistance(Nz::Vector3f::UnitY() * 2.f) == Catch::Approx(-3.f));
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}
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AND_THEN("Distance between Plane (0, 1, 0), distance 1000 and point (0, 500, 0) and (0, 1500, 0)")
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{
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 1000.f).Distance(Nz::Vector3f::UnitY() * 500.f) == Catch::Approx(-500.f));
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 1000.f).Distance(Nz::Vector3f::UnitY() * 1500.f) == Catch::Approx(500.f));
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 1000.f).SignedDistance(Nz::Vector3f::UnitY() * 500.f) == Catch::Approx(-500.f));
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REQUIRE(Nz::Planef(Nz::Vector3f::UnitY(), 1000.f).SignedDistance(Nz::Vector3f::UnitY() * 1500.f) == Catch::Approx(500.f));
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}
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AND_THEN("Distance between Plane (0, -1, 0), distance -1000 and point (0, 500, 0) and (0, 1500, 0)")
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{
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REQUIRE(Nz::Planef(-Nz::Vector3f::UnitY(), -1000.f).Distance(Nz::Vector3f::UnitY() * 500.f) == Catch::Approx(500.f));
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REQUIRE(Nz::Planef(-Nz::Vector3f::UnitY(), -1000.f).Distance(Nz::Vector3f::UnitY() * 1500.f) == Catch::Approx(-500.f));
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REQUIRE(Nz::Planef(-Nz::Vector3f::UnitY(), -1000.f).SignedDistance(Nz::Vector3f::UnitY() * 500.f) == Catch::Approx(500.f));
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REQUIRE(Nz::Planef(-Nz::Vector3f::UnitY(), -1000.f).SignedDistance(Nz::Vector3f::UnitY() * 1500.f) == Catch::Approx(-500.f));
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}
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}
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