updated for unreal

.idea/editor.xml

@@ -103,7 +103,7 @@
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppImplicitDefaultConstructorNotAvailable/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIncompatiblePointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIncompleteSwitchStatement/@EntryIndexedValue" value="WARNING" type="string" />
-    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInconsistentNaming/@EntryIndexedValue" value="HINT" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInconsistentNaming/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIntegralToPointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInvalidLineContinuation/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppJoinDeclarationAndAssignment/@EntryIndexedValue" value="SUGGESTION" type="string" />
@@ -202,7 +202,7 @@
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStaticDataMemberInUnnamedStruct/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStaticSpecifierOnAnonymousNamespaceMember/@EntryIndexedValue" value="SUGGESTION" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStringLiteralToCharPointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
-    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTabsAreDisallowed/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTabsAreDisallowed/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTemplateArgumentsCanBeDeduced/@EntryIndexedValue" value="HINT" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTemplateParameterNeverUsed/@EntryIndexedValue" value="HINT" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTemplateParameterShadowing/@EntryIndexedValue" value="WARNING" type="string" />
@@ -216,7 +216,7 @@
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnmatchedPragmaEndRegionDirective/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnmatchedPragmaRegionDirective/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnamedNamespaceInHeaderFile/@EntryIndexedValue" value="WARNING" type="string" />
-    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnecessaryWhitespace/@EntryIndexedValue" value="WARNING" type="string" />
+    <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnecessaryWhitespace/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnsignedZeroComparison/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnusedIncludeDirective/@EntryIndexedValue" value="WARNING" type="string" />
     <option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUseAlgorithmWithCount/@EntryIndexedValue" value="SUGGESTION" type="string" />

include/omath/engines/unreal_engine/camera.hpp

@@ -9,5 +9,5 @@
 
 namespace omath::unreal_engine
 {
-    using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, NDCDepthRange::ZERO_TO_ONE>;
+    using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, NDCDepthRange::ZERO_TO_ONE, {}, double>;
 } // namespace omath::unreal_engine

include/omath/engines/unreal_engine/constants.hpp

@@ -11,16 +11,16 @@
 
 namespace omath::unreal_engine
 {
-    constexpr Vector3<float> k_abs_up = {0, 0, 1};
+    constexpr Vector3<double> k_abs_up = {0, 0, 1};
-    constexpr Vector3<float> k_abs_right = {0, 1, 0};
+    constexpr Vector3<double> k_abs_right = {0, 1, 0};
-    constexpr Vector3<float> k_abs_forward = {1, 0, 0};
+    constexpr Vector3<double> k_abs_forward = {1, 0, 0};
 
-    using Mat4X4 = Mat<4, 4, float, MatStoreType::ROW_MAJOR>;
+    using Mat4X4 = Mat<4, 4, double, MatStoreType::ROW_MAJOR>;
-    using Mat3X3 = Mat<4, 4, float, MatStoreType::ROW_MAJOR>;
+    using Mat3X3 = Mat<4, 4, double, MatStoreType::ROW_MAJOR>;
-    using Mat1X3 = Mat<1, 3, float, MatStoreType::ROW_MAJOR>;
+    using Mat1X3 = Mat<1, 3, double, MatStoreType::ROW_MAJOR>;
-    using PitchAngle = Angle<float, -90.f, 90.f, AngleFlags::Clamped>;
+    using PitchAngle = Angle<double, -90., 90., AngleFlags::Clamped>;
-    using YawAngle = Angle<float, -180.f, 180.f, AngleFlags::Normalized>;
+    using YawAngle = Angle<double, -180., 180., AngleFlags::Normalized>;
-    using RollAngle = Angle<float, -180.f, 180.f, AngleFlags::Normalized>;
+    using RollAngle = Angle<double, -180., 180., AngleFlags::Normalized>;
 
     using ViewAngles = omath::ViewAngles<PitchAngle, YawAngle, RollAngle>;
 } // namespace omath::unreal_engine

include/omath/engines/unreal_engine/formulas.hpp

@@ -8,21 +8,21 @@
 namespace omath::unreal_engine
 {
     [[nodiscard]]
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+    Vector3<double> forward_vector(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+    Vector3<double> right_vector(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+    Vector3<double> up_vector(const ViewAngles& angles) noexcept;
 
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<double>& cam_origin) noexcept;
 
     [[nodiscard]]
     Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
+    Mat4X4 calc_perspective_projection_matrix(double field_of_view, double aspect_ratio, double near, double far,
                                              NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
 
     template<class FloatingType>

include/omath/engines/unreal_engine/traits/camera_trait.hpp

@@ -12,13 +12,13 @@ namespace omath::unreal_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+        static ViewAngles calc_look_at_angle(const Vector3<double>& cam_origin, const Vector3<double>& look_at) noexcept;
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<double>& cam_origin) noexcept;
         [[nodiscard]]
         static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             float near, float far, NDCDepthRange ndc_depth_range) noexcept;
+                                             double near, double far, NDCDepthRange ndc_depth_range) noexcept;
     };
 
 } // namespace omath::unreal_engine

include/omath/engines/unreal_engine/traits/pred_engine_trait.hpp

@@ -17,9 +17,11 @@ namespace omath::unreal_engine
                                                                     const float time, const float gravity) noexcept
         {
             const auto launch_pos = projectile.m_origin + projectile.m_launch_offset;
+            const auto fwd_d = forward_vector({PitchAngle::from_degrees(-pitch), YawAngle::from_degrees(yaw),
+                                               RollAngle::from_degrees(0)});
             auto current_pos = launch_pos
-                               + forward_vector({PitchAngle::from_degrees(-pitch), YawAngle::from_degrees(yaw),
+                               + Vector3<float>{static_cast<float>(fwd_d.x), static_cast<float>(fwd_d.y),
-                                                 RollAngle::from_degrees(0)})
+                                                static_cast<float>(fwd_d.z)}
                                          * projectile.m_launch_speed * time;
             current_pos.y -= (gravity * projectile.m_gravity_scale) * (time * time) * 0.5f;
 

include/omath/linear_algebra/mat.hpp

@@ -714,13 +714,13 @@ namespace omath
     template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
              NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
     [[nodiscard]]
-    Mat<4, 4, Type, St> mat_perspective_left_handed_horizontal_fov(const float horizontal_fov,
+    Mat<4, 4, Type, St> mat_perspective_left_handed_horizontal_fov(const Type horizontal_fov,
-                                                                   const float aspect_ratio, const float near,
+                                                                   const Type aspect_ratio, const Type near,
-                                                                   const float far) noexcept
+                                                                   const Type far) noexcept
     {
-        const float inv_tan_half_hfov = 1.f / std::tan(angles::degrees_to_radians(horizontal_fov) / 2.f);
+        const auto inv_tan_half_hfov = 1.f / std::tan(angles::degrees_to_radians(horizontal_fov) / 2.f);
-        const float x_axis = inv_tan_half_hfov;
+        const auto x_axis = inv_tan_half_hfov;
-        const float y_axis = inv_tan_half_hfov * aspect_ratio;
+        const auto y_axis = inv_tan_half_hfov / aspect_ratio;
 
         if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
             return {{x_axis, 0.f,    0.f,                          0.f},
@@ -739,9 +739,9 @@ namespace omath
     template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
              NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
     [[nodiscard]]
-    Mat<4, 4, Type, St> mat_perspective_right_handed_horizontal_fov(const float horizontal_fov,
+    Mat<4, 4, Type, St> mat_perspective_right_handed_horizontal_fov(const Type horizontal_fov,
-                                                                    const float aspect_ratio, const float near,
+                                                                    const Type aspect_ratio, const Type near,
-                                                                    const float far) noexcept
+                                                                    const Type far) noexcept
     {
         const float inv_tan_half_hfov = 1.f / std::tan(angles::degrees_to_radians(horizontal_fov) / 2.f);
         const float x_axis = inv_tan_half_hfov;

include/omath/projection/camera.hpp

@@ -45,14 +45,14 @@ namespace omath::projection
     struct CameraAxes
     {
         bool inverted_forward = false;
-        bool inverted_right   = false;
+        bool inverted_right = false;
     };
 
     template<class T, class MatType, class ViewAnglesType, class NumericType>
     concept CameraEngineConcept =
-            requires(const Vector3<float>& cam_origin, const Vector3<float>& look_at, const ViewAnglesType& angles,
+            requires(const Vector3<NumericType>& cam_origin, const Vector3<NumericType>& look_at,
-                     const FieldOfView& fov, const ViewPort& viewport, float znear, float zfar,
+                     const ViewAnglesType& angles, const FieldOfView& fov, const ViewPort& viewport,
-                     NDCDepthRange ndc_depth_range) {
+                     NumericType znear, NumericType zfar, NDCDepthRange ndc_depth_range) {
                 // Presence + return types
                 { T::calc_look_at_angle(cam_origin, look_at) } -> std::same_as<ViewAnglesType>;
                 { T::calc_view_matrix(angles, cam_origin) } -> std::same_as<MatType>;
@@ -65,8 +65,8 @@ namespace omath::projection
             };
 
     template<class Mat4X4Type, class ViewAnglesType, class TraitClass,
-             NDCDepthRange depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE,
+             NDCDepthRange depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE, CameraAxes axes = {},
-             CameraAxes axes = {}, class NumericType = float>
+             class NumericType = float>
     requires CameraEngineConcept<TraitClass, Mat4X4Type, ViewAnglesType, NumericType>
     class Camera final
     {
@@ -83,17 +83,17 @@ namespace omath::projection
         };
 
         ~Camera() = default;
-        Camera(const Vector3<float>& position, const ViewAnglesType& view_angles, const ViewPort& view_port,
+        Camera(const Vector3<NumericType>& position, const ViewAnglesType& view_angles, const ViewPort& view_port,
                const FieldOfView& fov, const NumericType near, const NumericType far) noexcept
             : m_view_port(view_port), m_field_of_view(fov), m_far_plane_distance(far), m_near_plane_distance(near),
               m_view_angles(view_angles), m_origin(position)
         {
         }
 
-        struct ProjectionParams
+        struct ProjectionParams final
         {
             FieldOfView fov;
-            float aspect_ratio;
+            float aspect_ratio{};
         };
 
         // Recovers vertical FOV and aspect ratio from a perspective projection matrix
@@ -124,9 +124,12 @@ namespace omath::projection
             // The view matrix is R * T(-origin), so the last column stores t = -R * origin.
             // Recovering origin: origin = -R^T * t
             return {
-                -(view_matrix[0, 0] * view_matrix[0, 3] + view_matrix[1, 0] * view_matrix[1, 3] + view_matrix[2, 0] * view_matrix[2, 3]),
+                    -(view_matrix[0, 0] * view_matrix[0, 3] + view_matrix[1, 0] * view_matrix[1, 3]
-                -(view_matrix[0, 1] * view_matrix[0, 3] + view_matrix[1, 1] * view_matrix[1, 3] + view_matrix[2, 1] * view_matrix[2, 3]),
+                      + view_matrix[2, 0] * view_matrix[2, 3]),
-                -(view_matrix[0, 2] * view_matrix[0, 3] + view_matrix[1, 2] * view_matrix[1, 3] + view_matrix[2, 2] * view_matrix[2, 3]),
+                    -(view_matrix[0, 1] * view_matrix[0, 3] + view_matrix[1, 1] * view_matrix[1, 3]
+                      + view_matrix[2, 1] * view_matrix[2, 3]),
+                    -(view_matrix[0, 2] * view_matrix[0, 3] + view_matrix[1, 2] * view_matrix[1, 3]
+                      + view_matrix[2, 2] * view_matrix[2, 3]),
             };
         }
 
@@ -202,9 +205,8 @@ namespace omath::projection
         [[nodiscard]] const Mat4X4Type& get_projection_matrix() const noexcept
         {
             if (!m_projection_matrix.has_value())
-                m_projection_matrix = TraitClass::calc_projection_matrix(m_field_of_view, m_view_port,
+                m_projection_matrix = TraitClass::calc_projection_matrix(
-                                                                         m_near_plane_distance, m_far_plane_distance,
+                        m_field_of_view, m_view_port, m_near_plane_distance, m_far_plane_distance, depth_range);
-                                                                         depth_range);
 
             return m_projection_matrix.value();
         }
@@ -293,7 +295,7 @@ namespace omath::projection
         }
         template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
         [[nodiscard]] std::expected<Vector3<NumericType>, Error>
-        world_to_screen_unclipped(const Vector3<float>& world_position) const noexcept
+        world_to_screen_unclipped(const Vector3<NumericType>& world_position) const noexcept
         {
             const auto normalized_cords = world_to_view_port(world_position, ViewPortClipping::MANUAL);
 
@@ -332,8 +334,9 @@ namespace omath::projection
                 return true;
 
             // Helper: all three vertices outside the same clip plane
-            auto all_outside_plane = [](const int axis, const std::array<NumericType, 4>& a, const std::array<NumericType, 4>& b,
+            auto all_outside_plane = [](const int axis, const std::array<NumericType, 4>& a,
-                                        const std::array<NumericType, 4>& c, const bool positive_side)
+                                        const std::array<NumericType, 4>& b, const std::array<NumericType, 4>& c,
+                                        const bool positive_side)
             {
                 if (positive_side)
                     return a[axis] > a[3] && b[axis] > b[3] && c[axis] > c[3];
@@ -389,16 +392,16 @@ namespace omath::projection
             //   Far    = r3 - r2
             struct Plane final
             {
-                float a, b, c, d;
+                NumericType a, b, c, d;
             };
 
             const auto extract_plane = [&m](const int sign, const int row) -> Plane
             {
                 return {
-                        m.at(3, 0) + static_cast<float>(sign) * m.at(row, 0),
+                        m.at(3, 0) + static_cast<NumericType>(sign) * m.at(row, 0),
-                        m.at(3, 1) + static_cast<float>(sign) * m.at(row, 1),
+                        m.at(3, 1) + static_cast<NumericType>(sign) * m.at(row, 1),
-                        m.at(3, 2) + static_cast<float>(sign) * m.at(row, 2),
+                        m.at(3, 2) + static_cast<NumericType>(sign) * m.at(row, 2),
-                        m.at(3, 3) + static_cast<float>(sign) * m.at(row, 3),
+                        m.at(3, 3) + static_cast<NumericType>(sign) * m.at(row, 3),
                 };
             };
 
@@ -452,12 +455,12 @@ namespace omath::projection
 
             // ReSharper disable once CppTooWideScope
             constexpr auto z_min = depth_range == NDCDepthRange::ZERO_TO_ONE ? 0.0f : -1.0f;
-            const auto clipped_manually = clipping == ViewPortClipping::MANUAL && (projected.at(2, 0) < z_min - eps
+            const auto clipped_manually = clipping == ViewPortClipping::MANUAL
-                                          || projected.at(2, 0) > 1.0f + eps);
+                                          && (projected.at(2, 0) < z_min - eps || projected.at(2, 0) > 1.0f + eps);
             if (clipped_manually)
                 return std::unexpected(Error::WORLD_POSITION_IS_OUT_OF_SCREEN_BOUNDS);
 
-            return Vector3<float>{projected.at(0, 0), projected.at(1, 0), projected.at(2, 0)};
+            return Vector3<NumericType>{projected.at(0, 0), projected.at(1, 0), projected.at(2, 0)};
         }
         [[nodiscard]]
         std::expected<Vector3<NumericType>, Error> view_port_to_world(const Vector3<NumericType>& ndc) const noexcept
@@ -478,19 +481,21 @@ namespace omath::projection
             inverted_projection /= w;
 
             return Vector3<NumericType>{inverted_projection.at(0, 0), inverted_projection.at(1, 0),
-                                  inverted_projection.at(2, 0)};
+                                        inverted_projection.at(2, 0)};
         }
 
         template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
         [[nodiscard]]
-        std::expected<Vector3<NumericType>, Error> screen_to_world(const Vector3<NumericType>& screen_pos) const noexcept
+        std::expected<Vector3<NumericType>, Error>
+        screen_to_world(const Vector3<NumericType>& screen_pos) const noexcept
         {
             return view_port_to_world(screen_to_ndc<screen_start>(screen_pos));
         }
 
         template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
         [[nodiscard]]
-        std::expected<Vector3<NumericType>, Error> screen_to_world(const Vector2<NumericType>& screen_pos) const noexcept
+        std::expected<Vector3<NumericType>, Error>
+        screen_to_world(const Vector2<NumericType>& screen_pos) const noexcept
         {
             const auto& [x, y] = screen_pos;
             return screen_to_world<screen_start>({x, y, 1.f});
@@ -498,13 +503,13 @@ namespace omath::projection
 
     protected:
         ViewPort m_view_port{};
-        Angle<NumericType, 0.f, 180.f, AngleFlags::Clamped> m_field_of_view;
+        FieldOfView m_field_of_view;
 
         mutable std::optional<Mat4X4Type> m_view_projection_matrix;
         mutable std::optional<Mat4X4Type> m_projection_matrix;
         mutable std::optional<Mat4X4Type> m_view_matrix;
-        float m_far_plane_distance;
+        NumericType m_far_plane_distance;
-        float m_near_plane_distance;
+        NumericType m_near_plane_distance;
 
         ViewAnglesType m_view_angles;
         Vector3<NumericType> m_origin;
@@ -524,10 +529,10 @@ namespace omath::projection
             return is_ndc_z_value_out_of_bounds(data[2]);
         }
         template<class ZType>
-         [[nodiscard]]
+        [[nodiscard]]
         constexpr static bool is_ndc_z_value_out_of_bounds(const ZType& z_ndc) noexcept
         {
-            constexpr auto eps = std::numeric_limits<float>::epsilon();
+            constexpr auto eps = std::numeric_limits<NumericType>::epsilon();
             if constexpr (depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
                 return z_ndc < -1.0f - eps || z_ndc > 1.0f + eps;
             if constexpr (depth_range == NDCDepthRange::ZERO_TO_ONE)
@@ -550,8 +555,8 @@ namespace omath::projection
                                 v
             */
 
-        [[nodiscard]] Vector3<float>
+        [[nodiscard]] Vector3<NumericType>
-        ndc_to_screen_position_from_top_left_corner(const Vector3<float>& ndc) const noexcept
+        ndc_to_screen_position_from_top_left_corner(const Vector3<NumericType>& ndc) const noexcept
         {
             /*
             +------------------------>
@@ -567,8 +572,8 @@ namespace omath::projection
             return {(ndc.x + 1.f) / 2.f * m_view_port.m_width, (ndc.y / -2.f + 0.5f) * m_view_port.m_height, ndc.z};
         }
 
-        [[nodiscard]] Vector3<float>
+        [[nodiscard]] Vector3<NumericType>
-        ndc_to_screen_position_from_bottom_left_corner(const Vector3<float>& ndc) const noexcept
+        ndc_to_screen_position_from_bottom_left_corner(const Vector3<NumericType>& ndc) const noexcept
         {
             /*
              ^
@@ -585,7 +590,7 @@ namespace omath::projection
         }
 
         template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
-        [[nodiscard]] Vector3<float> screen_to_ndc(const Vector3<float>& screen_pos) const noexcept
+        [[nodiscard]] Vector3<NumericType> screen_to_ndc(const Vector3<NumericType>& screen_pos) const noexcept
         {
             if constexpr (screen_start == ScreenStart::TOP_LEFT_CORNER)
                 return {screen_pos.x / m_view_port.m_width * 2.f - 1.f, 1.f - screen_pos.y / m_view_port.m_height * 2.f,

source/engines/unreal_engine/formulas.cpp

@@ -4,27 +4,27 @@
 #include "omath/engines/unreal_engine/formulas.hpp"
 namespace omath::unreal_engine
 {
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept
+    Vector3<double> forward_vector(const ViewAngles& angles) noexcept
     {
         const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_forward);
 
         return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
     }
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept
+    Vector3<double> right_vector(const ViewAngles& angles) noexcept
     {
         const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_right);
 
         return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
     }
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept
+    Vector3<double> up_vector(const ViewAngles& angles) noexcept
     {
         const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_up);
 
         return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
     }
-    Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
+    Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<double>& cam_origin) noexcept
     {
-        return mat_camera_view<float, MatStoreType::ROW_MAJOR>(forward_vector(angles), right_vector(angles),
+        return mat_camera_view<double, MatStoreType::ROW_MAJOR>(forward_vector(angles), right_vector(angles),
                                                                up_vector(angles), cam_origin);
     }
     Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
@@ -33,24 +33,24 @@ namespace omath::unreal_engine
         // frame), which for column-vector composition is Rz·Ry·Rx.
         // Pitch and roll axes in omath spin opposite to UE's convention, so
         // both carry a sign flip.
-        return mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.yaw)
+        return mat_rotation_axis_z<double, MatStoreType::ROW_MAJOR>(angles.yaw)
-               * mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(-angles.pitch)
+               * mat_rotation_axis_y<double, MatStoreType::ROW_MAJOR>(-angles.pitch)
-               * mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(-angles.roll);
+               * mat_rotation_axis_x<double, MatStoreType::ROW_MAJOR>(-angles.roll);
     }
 
 
-    Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
+    Mat4X4 calc_perspective_projection_matrix(const double field_of_view, const double aspect_ratio, const double near,
-                                              const float far, const NDCDepthRange ndc_depth_range) noexcept
+                                              const double far, const NDCDepthRange ndc_depth_range) noexcept
     {
         // UE stores horizontal FOV in FMinimalViewInfo — use the left-handed
         // horizontal-FOV builder directly.
         if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
             return mat_perspective_left_handed_horizontal_fov<
-                    float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
+                    double, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
                     field_of_view, aspect_ratio, near, far);
         if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
             return mat_perspective_left_handed_horizontal_fov<
-                    float, MatStoreType::ROW_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
+                    double, MatStoreType::ROW_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
                     field_of_view, aspect_ratio, near, far);
         std::unreachable();
     }

source/engines/unreal_engine/traits/camera_trait.cpp

@@ -6,20 +6,20 @@
 namespace omath::unreal_engine
 {
 
-    ViewAngles CameraTrait::calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept
+    ViewAngles CameraTrait::calc_look_at_angle(const Vector3<double>& cam_origin, const Vector3<double>& look_at) noexcept
     {
         const auto direction = (look_at - cam_origin).normalized();
 
         return {PitchAngle::from_radians(std::asin(direction.z)),
                 YawAngle::from_radians(std::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
     }
-    Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
+    Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<double>& cam_origin) noexcept
     {
         return unreal_engine::calc_view_matrix(angles, cam_origin);
     }
     Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
-                                               const projection::ViewPort& view_port, const float near,
+                                               const projection::ViewPort& view_port, const double near,
-                                               const float far, const NDCDepthRange ndc_depth_range) noexcept
+                                               const double far, const NDCDepthRange ndc_depth_range) noexcept
     {
         return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
                                                   ndc_depth_range);

tests/engines/unit_test_traits_engines.cpp

@@ -499,10 +499,11 @@ TEST(NDCDepthRangeTests, CryEngine_BothDepthRanges)
 // ── Verify Z mapping for ZERO_TO_ONE across all engines ─────────────────────
 
 // Helper: projects a point at given z through a left-handed projection matrix and returns NDC z
-static float project_z_lh(const Mat<4, 4>& proj, float z)
+template<class Type = float, MatStoreType Store = MatStoreType::ROW_MAJOR>
+static float project_z_lh(const Mat<4, 4, Type, Store>& proj, float z)
 {
-    auto clip = proj * mat_column_from_vector<float>({0, 0, z});
+    auto clip = proj * mat_column_from_vector<Type, Store>({0, 0, static_cast<Type>(z)});
-    return clip.at(2, 0) / clip.at(3, 0);
+    return static_cast<float>(clip.at(2, 0) / clip.at(3, 0));
 }
 
 TEST(NDCDepthRangeTests, Source_ZeroToOne_ZRange)

tests/engines/unit_test_unreal_engine.cpp

@@ -111,7 +111,7 @@ TEST(unit_test_unreal_engine, CameraSetAndGetOrigin)
 {
     auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, {}, 0.01f, 1000.f);
 
-    EXPECT_EQ(cam.get_origin(), omath::Vector3<float>{});
+    EXPECT_EQ(cam.get_origin(), omath::Vector3<double>{});
     cam.set_field_of_view(omath::projection::FieldOfView::from_degrees(50.f));
 
     EXPECT_EQ(cam.get_field_of_view().as_degrees(), 50.f);
@@ -129,7 +129,7 @@ TEST(unit_test_unreal_engine, loook_at_random_all_axis)
     std::size_t failed_points = 0;
     for (int i = 0; i < 100; i++)
     {
-        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+        const auto position_to_look = omath::Vector3<double>{dist(gen), dist(gen), dist(gen)};
 
         if (cam.get_origin().distance_to(position_to_look) < 10)
             continue;
@@ -151,7 +151,7 @@ TEST(unit_test_unreal_engine, loook_at_random_all_axis)
 TEST(unit_test_unreal_engine, loook_at_random_x_axis)
 {
     std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
-    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+    std::uniform_real_distribution<double> dist(-1000.f, 1000.f);
 
     constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
     auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
@@ -159,7 +159,7 @@ TEST(unit_test_unreal_engine, loook_at_random_x_axis)
     std::size_t failed_points = 0;
     for (int i = 0; i < 1000; i++)
     {
-        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+        const auto position_to_look = omath::Vector3<double>{dist(gen), dist(gen), dist(gen)};
 
         if (cam.get_origin().distance_to(position_to_look) < 10)
             continue;
@@ -190,7 +190,7 @@ TEST(unit_test_unreal_engine, loook_at_random_y_axis)
     std::size_t failed_points = 0;
     for (int i = 0; i < 1000; i++)
     {
-        const auto position_to_look = omath::Vector3<float>{0.f, dist(gen), 0.f};
+        const auto position_to_look = omath::Vector3<double>{0.f, dist(gen), 0.f};
 
         if (cam.get_origin().distance_to(position_to_look) < 10)
             continue;
@@ -221,7 +221,7 @@ TEST(unit_test_unreal_engine, loook_at_random_z_axis)
     std::size_t failed_points = 0;
     for (int i = 0; i < 1000; i++)
     {
-        const auto position_to_look = omath::Vector3<float>{0.f, 0.f, dist(gen)};
+        const auto position_to_look = omath::Vector3<double>{0.f, 0.f, dist(gen)};
 
         if (cam.get_origin().distance_to(position_to_look) < 10)
             continue;