Merge pull request #195 from orange-cpp/feature/rage_engine

added rage engine support

README.md

@@ -81,7 +81,7 @@ if (auto screen = camera.world_to_screen(world_position)) {
 - **Collision Detection**: Production ready code to handle collision detection by using simple interfaces.
 - **No Additional Dependencies**: No additional dependencies need to use OMath except unit test execution
 - **Ready for meta-programming**: Omath use templates for common types like Vectors, Matrixes etc, to handle all types!
-- **Engine support**: Supports coordinate systems of **Source, Unity, Unreal, Frostbite, IWEngine, CryEngine and canonical OpenGL**.
+- **Engine support**: Supports coordinate systems of **Source, Rage, Unity, Unreal, Frostbite, IWEngine, CryEngine and canonical OpenGL**.
 - **Cross platform**: Supports Windows, MacOS and Linux.
 - **Algorithms**: Has ability to scan for byte pattern with wildcards in ELF/Mach-O/PE files/modules, binary slices, works even with Wine apps. 
 - **Scripting**: Supports to make scripts in Lua out of box.
@@ -113,6 +113,10 @@ if (auto screen = camera.world_to_screen(world_position)) {
 
 <br>
 
+![GTA5 Preview]
+
+<br>
+
 ![OpenGL Preview]
 
 <br>
@@ -144,6 +148,7 @@ if (auto screen = camera.world_to_screen(world_position)) {
 [BO2 Preview]: docs/images/showcase/cod_bo2.png
 [CS2 Preview]: docs/images/showcase/cs2.jpeg
 [TF2 Preview]: docs/images/showcase/tf2.jpg
+[GTA5 Preview]: https://i.imgur.com/W7T8RhZ.png
 [OpenGL Preview]: docs/images/showcase/opengl.png
 <!----------------------------------{ Buttons }--------------------------------->
 [QUICKSTART]: docs/getting_started.md

include/omath/engines/rage_engine/camera.hpp

@@ -0,0 +1,13 @@
+//
+// Created by Codex on 6/3/2026.
+//
+
+#pragma once
+#include "omath/engines/rage_engine/constants.hpp"
+#include "omath/projection/camera.hpp"
+#include "traits/camera_trait.hpp"
+
+namespace omath::rage_engine
+{
+    using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, NDCDepthRange::ZERO_TO_ONE>;
+} // namespace omath::rage_engine

include/omath/engines/rage_engine/constants.hpp

@@ -0,0 +1,25 @@
+//
+// Created by Codex on 6/3/2026.
+//
+
+#pragma once
+#include "omath/linear_algebra/mat.hpp"
+#include "omath/linear_algebra/vector3.hpp"
+#include <omath/trigonometry/angle.hpp>
+#include <omath/trigonometry/view_angles.hpp>
+
+namespace omath::rage_engine
+{
+    constexpr Vector3<float> k_abs_up = {0, 0, 1};
+    constexpr Vector3<float> k_abs_right = {1, 0, 0};
+    constexpr Vector3<float> k_abs_forward = {0, 1, 0};
+
+    using Mat4X4 = Mat<4, 4, float, MatStoreType::ROW_MAJOR>;
+    using Mat3X3 = Mat<3, 3, float, MatStoreType::ROW_MAJOR>;
+    using Mat1X3 = Mat<1, 3, float, MatStoreType::ROW_MAJOR>;
+    using PitchAngle = Angle<float, -90.f, 90.f, AngleFlags::Clamped>;
+    using YawAngle = Angle<float, -180.f, 180.f, AngleFlags::Normalized>;
+    using RollAngle = Angle<float, -180.f, 180.f, AngleFlags::Normalized>;
+
+    using ViewAngles = omath::ViewAngles<PitchAngle, YawAngle, RollAngle>;
+} // namespace omath::rage_engine

include/omath/engines/rage_engine/formulas.hpp

@@ -0,0 +1,85 @@
+//
+// Created by Codex on 6/3/2026.
+//
+
+#pragma once
+#include "omath/engines/rage_engine/constants.hpp"
+#include <type_traits>
+
+namespace omath::rage_engine
+{
+    [[nodiscard]]
+    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+
+    [[nodiscard]]
+    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+
+    [[nodiscard]]
+    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+
+    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+
+    [[nodiscard]]
+    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+
+    [[nodiscard]]
+    Vector3<float> extract_origin(const Mat4X4& mat) noexcept;
+
+    [[nodiscard]]
+    Vector3<float> extract_scale(const Mat4X4& mat) noexcept;
+
+    [[nodiscard]]
+    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
+
+    [[nodiscard]]
+    Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
+                                              NDCDepthRange ndc_depth_range = NDCDepthRange::ZERO_TO_ONE) noexcept;
+
+    template<class FloatingType>
+    requires std::is_floating_point_v<FloatingType>
+    [[nodiscard]]
+    constexpr FloatingType units_to_centimeters(const FloatingType& units)
+    {
+        return units / static_cast<FloatingType>(100);
+    }
+
+    template<class FloatingType>
+    requires std::is_floating_point_v<FloatingType>
+    [[nodiscard]]
+    constexpr FloatingType units_to_meters(const FloatingType& units)
+    {
+        return units;
+    }
+
+    template<class FloatingType>
+    requires std::is_floating_point_v<FloatingType>
+    [[nodiscard]]
+    constexpr FloatingType units_to_kilometers(const FloatingType& units)
+    {
+        return units_to_meters(units) / static_cast<FloatingType>(1000);
+    }
+
+    template<class FloatingType>
+    requires std::is_floating_point_v<FloatingType>
+    [[nodiscard]]
+    constexpr FloatingType centimeters_to_units(const FloatingType& centimeters)
+    {
+        return centimeters * static_cast<FloatingType>(100);
+    }
+
+    template<class FloatingType>
+    requires std::is_floating_point_v<FloatingType>
+    [[nodiscard]]
+    constexpr FloatingType meters_to_units(const FloatingType& meters)
+    {
+        return meters;
+    }
+
+    template<class FloatingType>
+    requires std::is_floating_point_v<FloatingType>
+    [[nodiscard]]
+    constexpr FloatingType kilometers_to_units(const FloatingType& kilometers)
+    {
+        return meters_to_units(kilometers * static_cast<FloatingType>(1000));
+    }
+} // namespace omath::rage_engine

include/omath/engines/rage_engine/mesh.hpp

@@ -0,0 +1,13 @@
+//
+// Created by Codex on 6/3/2026.
+//
+
+#pragma once
+#include "constants.hpp"
+#include "omath/3d_primitives/mesh.hpp"
+#include "traits/mesh_trait.hpp"
+
+namespace omath::rage_engine
+{
+    using Mesh = primitives::Mesh<Mat4X4, ViewAngles, MeshTrait>;
+} // namespace omath::rage_engine

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

@@ -0,0 +1,24 @@
+//
+// Created by Codex on 6/3/2026.
+//
+
+#pragma once
+#include "omath/engines/rage_engine/formulas.hpp"
+#include "omath/projection/camera.hpp"
+
+namespace omath::rage_engine
+{
+    class CameraTrait final
+    {
+    public:
+        [[nodiscard]]
+        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+
+        [[nodiscard]]
+        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& 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;
+    };
+
+} // namespace omath::rage_engine

include/omath/engines/rage_engine/traits/mesh_trait.hpp

@@ -0,0 +1,20 @@
+//
+// Created by Codex on 6/3/2026.
+//
+
+#pragma once
+#include <omath/engines/rage_engine/constants.hpp>
+#include <omath/engines/rage_engine/formulas.hpp>
+
+namespace omath::rage_engine
+{
+    class MeshTrait final
+    {
+    public:
+        [[nodiscard]]
+        static Mat4X4 rotation_matrix(const ViewAngles& rotation)
+        {
+            return rage_engine::rotation_matrix(rotation);
+        }
+    };
+} // namespace omath::rage_engine

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

@@ -0,0 +1,76 @@
+//
+// Created by Codex on 6/3/2026.
+//
+
+#pragma once
+#include "omath/engines/rage_engine/formulas.hpp"
+#include "omath/projectile_prediction/projectile.hpp"
+#include "omath/projectile_prediction/target.hpp"
+#include <optional>
+
+namespace omath::rage_engine
+{
+    class PredEngineTrait final
+    {
+    public:
+        constexpr static Vector3<float>
+        predict_projectile_position(const projectile_prediction::Projectile<float>& projectile, const float pitch,
+                                    const float yaw, const float time, const float gravity) noexcept
+        {
+            const auto launch_pos = projectile.m_origin + projectile.m_launch_offset;
+            auto current_pos = launch_pos
+                               + forward_vector({PitchAngle::from_degrees(-pitch), YawAngle::from_degrees(yaw),
+                                                 RollAngle::from_degrees(0)})
+                                         * projectile.m_launch_speed * time;
+            current_pos.z -= (gravity * projectile.m_gravity_scale) * (time * time) * 0.5f;
+
+            return current_pos;
+        }
+        [[nodiscard]]
+        static constexpr Vector3<float> predict_target_position(const projectile_prediction::Target<float>& target,
+                                                                const float time, const float gravity) noexcept
+        {
+            auto predicted = target.m_origin + target.m_velocity * time;
+
+            if (target.m_is_airborne)
+                predicted.z -= gravity * (time * time) * 0.5f;
+
+            return predicted;
+        }
+        [[nodiscard]]
+        static float calc_vector_2d_distance(const Vector3<float>& delta) noexcept
+        {
+            return std::sqrt(delta.x * delta.x + delta.y * delta.y);
+        }
+
+        [[nodiscard]]
+        constexpr static float get_vector_height_coordinate(const Vector3<float>& vec) noexcept
+        {
+            return vec.z;
+        }
+
+        [[nodiscard]]
+        static Vector3<float> calc_viewpoint_from_angles(const projectile_prediction::Projectile<float>& projectile,
+                                                         Vector3<float> predicted_target_position,
+                                                         const std::optional<float> projectile_pitch) noexcept
+        {
+            const auto delta2d = calc_vector_2d_distance(predicted_target_position - projectile.m_origin);
+            const auto height = delta2d * std::tan(angles::degrees_to_radians(projectile_pitch.value()));
+
+            return {predicted_target_position.x, predicted_target_position.y, projectile.m_origin.z + height};
+        }
+        [[nodiscard]]
+        static float calc_direct_pitch_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
+        {
+            const auto direction = (view_to - origin).normalized();
+            return angles::radians_to_degrees(std::asin(direction.z));
+        }
+        [[nodiscard]]
+        static float calc_direct_yaw_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
+        {
+            const auto direction = (view_to - origin).normalized();
+
+            return angles::radians_to_degrees(-std::atan2(direction.x, direction.y));
+        };
+    };
+} // namespace omath::rage_engine

include/omath/hud/renderer_realizations/imgui_renderer.hpp

@@ -27,7 +27,7 @@ namespace omath::hud
                        const Color& tint = Color{1.f, 1.f, 1.f, 1.f}) override;
         void add_text(const Vector2<float>& position, const Color& color, const std::string_view& text) override;
         [[nodiscard]]
-        virtual Vector2<float> calc_text_size(const std::string_view& text) override;
+        Vector2<float> calc_text_size(const std::string_view& text) override;
     };
 } // namespace omath::hud
 #endif // OMATH_IMGUI_INTEGRATION

include/omath/omath.hpp

@@ -87,6 +87,12 @@
 #include "omath/engines/frostbite_engine/traits/camera_trait.hpp"
 #include "omath/engines/frostbite_engine/traits/pred_engine_trait.hpp"
 
+// RAGE Engine
+#include "omath/engines/rage_engine/constants.hpp"
+#include "omath/engines/rage_engine/formulas.hpp"
+#include "omath/engines/rage_engine/camera.hpp"
+#include "omath/engines/rage_engine/traits/camera_trait.hpp"
+#include "omath/engines/rage_engine/traits/pred_engine_trait.hpp"
 
 // Unreal Engine
 #include "omath/engines/unreal_engine/constants.hpp"

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");

tests/engines/unit_test_rage_engine.cpp

@@ -0,0 +1,101 @@
+//
+// Created by Codex on 6/3/2026.
+//
+#include <gtest/gtest.h>
+#include <omath/engines/rage_engine/camera.hpp>
+#include <omath/engines/rage_engine/constants.hpp>
+#include <omath/engines/rage_engine/formulas.hpp>
+#include <omath/engines/rage_engine/traits/mesh_trait.hpp>
+#include <omath/engines/rage_engine/traits/pred_engine_trait.hpp>
+#include <omath/projectile_prediction/projectile.hpp>
+#include <ranges>
+#include <type_traits>
+
+using namespace omath;
+
+static_assert(std::is_same_v<rage_engine::Mat4X4::ContainedType, float>);
+
+static void expect_rage_vector_near(const Vector3<float>& actual, const Vector3<float>& expected)
+{
+    for (const auto& [result, etalon] : std::views::zip(actual.as_array(), expected.as_array()))
+        EXPECT_NEAR(result, etalon, 0.0001f);
+}
+
+TEST(unit_test_rage_engine, ForwardVector)
+{
+    const auto forward = rage_engine::forward_vector({});
+
+    EXPECT_EQ(forward, rage_engine::k_abs_forward);
+}
+
+TEST(unit_test_rage_engine, RightVector)
+{
+    const auto right = rage_engine::right_vector({});
+
+    EXPECT_EQ(right, rage_engine::k_abs_right);
+}
+
+TEST(unit_test_rage_engine, UpVector)
+{
+    const auto up = rage_engine::up_vector({});
+    EXPECT_EQ(up, rage_engine::k_abs_up);
+}
+
+TEST(unit_test_rage_engine, LookAtForward)
+{
+    const auto angles = rage_engine::CameraTrait::calc_look_at_angle({}, rage_engine::k_abs_forward);
+
+    expect_rage_vector_near(rage_engine::forward_vector(angles), rage_engine::k_abs_forward);
+}
+
+TEST(unit_test_rage_engine, LookAtRight)
+{
+    const auto angles = rage_engine::CameraTrait::calc_look_at_angle({}, rage_engine::k_abs_right);
+
+    expect_rage_vector_near(rage_engine::forward_vector(angles), rage_engine::k_abs_right);
+}
+
+TEST(unit_test_rage_engine, LookAtUp)
+{
+    const auto angles = rage_engine::CameraTrait::calc_look_at_angle({}, rage_engine::k_abs_up);
+
+    expect_rage_vector_near(rage_engine::forward_vector(angles), rage_engine::k_abs_up);
+}
+
+TEST(unit_test_rage_engine, ProjectTargetMovedFromCamera)
+{
+    constexpr auto fov = projection::FieldOfView::from_degrees(60.f);
+    const auto cam = rage_engine::Camera({0, 0, 0}, {}, {1280.f, 720.f}, fov, 0.01f, 1000.f);
+
+    const auto projected = cam.world_to_screen({0, 10.f, 0});
+
+    ASSERT_TRUE(projected.has_value());
+    EXPECT_NEAR(projected->x, 640.f, 0.0001f);
+    EXPECT_NEAR(projected->y, 360.f, 0.0001f);
+}
+
+TEST(unit_test_rage_engine, PredEngineTraitUsesZAsHeight)
+{
+    projectile_prediction::Projectile<float> projectile;
+    projectile.m_origin = {0.f, 0.f, 0.f};
+    projectile.m_launch_speed = 10.f;
+    projectile.m_gravity_scale = 1.f;
+
+    const auto pos = rage_engine::PredEngineTrait::predict_projectile_position(projectile, 0.f, 0.f, 1.f, 9.81f);
+
+    EXPECT_NEAR(pos.x, 0.f, 0.0001f);
+    EXPECT_NEAR(pos.y, 10.f, 0.0001f);
+    EXPECT_NEAR(pos.z, -9.81f * 0.5f, 0.0001f);
+    EXPECT_NEAR(rage_engine::PredEngineTrait::get_vector_height_coordinate({1.f, 2.f, 3.f}), 3.f, 0.0001f);
+}
+
+TEST(unit_test_rage_engine, MeshTraitForwardsRotationMatrix)
+{
+    const rage_engine::ViewAngles angles{
+            rage_engine::PitchAngle::from_degrees(20.f),
+            rage_engine::YawAngle::from_degrees(-35.f),
+            rage_engine::RollAngle::from_degrees(15.f),
+    };
+
+    EXPECT_EQ(rage_engine::MeshTrait::rotation_matrix(angles), rage_engine::rotation_matrix(angles));
+}