added rage engine support

fix

patch

source/engines/rage_engine/formulas.cpp

@@ -0,0 +1,71 @@
+//
+// Created by Codex on 6/3/2026.
+//
+#include "omath/engines/rage_engine/formulas.hpp"
+
+namespace omath::rage_engine
+{
+    Vector3<float> 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
+    {
+        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
+    {
+        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
+    {
+        return mat_camera_view<float, MatStoreType::ROW_MAJOR>(forward_vector(angles), right_vector(angles),
+                                                               up_vector(angles), cam_origin);
+    }
+    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
+    {
+        return mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.yaw)
+               * mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(angles.roll)
+               * mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch);
+    }
+
+    Vector3<float> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
+
+    Vector3<float> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
+
+    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept
+    {
+        const auto angles = mat_extract_rotation_zyx(mat);
+        return {
+                PitchAngle::from_degrees(angles.x),
+                YawAngle::from_degrees(angles.z),
+                RollAngle::from_degrees(angles.y),
+        };
+    }
+
+    Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
+                                              const float far, const NDCDepthRange ndc_depth_range) noexcept
+    {
+        if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
+            return mat_perspective_left_handed_vertical_fov<float, 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_vertical_fov<float, MatStoreType::ROW_MAJOR,
+                                                            NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
+                    field_of_view, aspect_ratio, near, far);
+        std::unreachable();
+    }
+} // namespace omath::rage_engine

source/engines/rage_engine/traits/camera_trait.cpp

@@ -0,0 +1,27 @@
+//
+// Created by Codex on 6/3/2026.
+//
+#include "omath/engines/rage_engine/traits/camera_trait.hpp"
+
+namespace omath::rage_engine
+{
+
+    ViewAngles CameraTrait::calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& 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.x, direction.y)), RollAngle::from_radians(0.f)};
+    }
+    Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
+    {
+        return rage_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 float far,
+                                               const NDCDepthRange ndc_depth_range) noexcept
+    {
+        return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
+                                                  ndc_depth_range);
+    }
+} // namespace omath::rage_engine

source/lua/lua_engines.cpp

@@ -9,6 +9,7 @@
 #include <omath/engines/frostbite_engine/camera.hpp>
 #include <omath/engines/iw_engine/camera.hpp>
 #include <omath/engines/opengl_engine/camera.hpp>
+#include <omath/engines/rage_engine/camera.hpp>
 #include <omath/engines/source_engine/camera.hpp>
 #include <omath/engines/unity_engine/camera.hpp>
 #include <omath/engines/unreal_engine/camera.hpp>
@@ -181,6 +182,12 @@ namespace
         using ViewAngles = omath::source_engine::ViewAngles;
         using Camera = omath::source_engine::Camera;
     };
+    struct RageEngineTraits
+    {
+        using PitchAngle = omath::rage_engine::PitchAngle;
+        using ViewAngles = omath::rage_engine::ViewAngles;
+        using Camera = omath::rage_engine::Camera;
+    };
     struct UnityEngineTraits
     {
         using PitchAngle = omath::unity_engine::PitchAngle;
@@ -254,6 +261,7 @@ namespace omath::lua
         register_engine<FrostbiteEngineTraits>(omath_table, "frostbite");
         register_engine<IWEngineTraits>(omath_table, "iw");
         register_engine<SourceEngineTraits>(omath_table, "source");
+        register_engine<RageEngineTraits>(omath_table, "rage");
         register_engine<UnityEngineTraits>(omath_table, "unity");
         register_engine<UnrealEngineTraits, double>(omath_table, "unreal");
         register_engine<CryEngineTraits>(omath_table, "cry");