mkdocs improvement

improved outline arguments

.github/workflows/docs.yml

@@ -37,7 +37,7 @@ jobs:
           python-version: '3.x'
 
       - name: Install mkdocs and dependencies
-        run: pip install mkdocs mkdocs-bootswatch
+        run: pip install mkdocs mkdocs-material
 
       - name: Build documentation
         run: mkdocs build --strict

.github/workflows/release.yml

@@ -28,7 +28,7 @@ jobs:
           python-version: '3.x'
 
       - name: Install mkdocs and dependencies
-        run: pip install mkdocs mkdocs-bootswatch
+        run: pip install mkdocs mkdocs-material
 
       - name: Build documentation
         run: mkdocs build --strict

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

docs/styles/custom-header.css

@@ -1,11 +1,18 @@
-/* Widen the navbar container */
-.navbar .container {
-    max-width: 100%;   /* adjust to your target width */
-    width: 95%;
+/* Material header tweaks */
+.md-header,
+.md-tabs {
+    background-color: #101014;
 }
 
-/* Tighter spacing between navbar items */
-.navbar-nav > li > a {
-    padding-left: 8px;
-    padding-right: 8px;
+.md-header {
+    border-bottom: 1px solid rgba(255, 152, 0, 0.28);
+}
+
+.md-tabs {
+    border-bottom: 1px solid rgba(255, 152, 0, 0.16);
+}
+
+.md-tabs__link--active,
+.md-tabs__link:hover {
+    color: #ffb74d;
 }

docs/styles/links.css

@@ -1,65 +1,44 @@
-/* Normal links */
-a {
-    color: orange;
+/* Material dark palette overrides */
+[data-md-color-scheme="slate"] {
+    --md-default-bg-color: #0f1117;
+    --md-default-fg-color: #e8eaed;
+    --md-primary-fg-color: #101014;
+    --md-primary-fg-color--light: #1a1a21;
+    --md-primary-fg-color--dark: #09090d;
+    --md-accent-fg-color: #ff9800;
+    --md-accent-fg-color--transparent: rgba(255, 152, 0, 0.14);
+    --md-typeset-a-color: #ffb74d;
+    --md-code-bg-color: #171a22;
+    --md-code-fg-color: #f5f7fa;
 }
 
-
-/* On hover/focus */
-a:hover,
-a:focus {
-    color: #ff9900; /* a slightly different orange, optional */
-}
-/* Navbar background */
-.navbar,
-.navbar-default,
-.navbar-inverse {
-    background-color: #a26228   !important;  /* your orange */
-    border-color: #ff6600 !important;
+.md-typeset a {
+    color: var(--md-typeset-a-color);
 }
 
-/* Navbar brand + links */
-.navbar .navbar-brand,
-.navbar .navbar-nav > li > a {
-    color: #ffffff !important;
+.md-typeset a:hover,
+.md-typeset a:focus {
+    color: #ffd180;
 }
 
-/* Active and hover states */
-.navbar .navbar-nav > .active > a,
-.navbar .navbar-nav > .active > a:focus,
-.navbar .navbar-nav > .active > a:hover,
-.navbar .navbar-nav > li > a:hover,
-.navbar .navbar-nav > li > a:focus {
-    color: #ffffff !important;
-}
-/* === DROPDOWN MENU BACKGROUND === */
-.navbar .dropdown-menu {
-    border-color: #ff6600 !important;
+.md-tabs__item--active > .md-tabs__link,
+.md-tabs__link:hover,
+.md-nav__link:hover,
+.md-nav__link:focus,
+.md-nav__link--active,
+.md-nav__item .md-nav__link--active {
+    color: #ffb74d;
 }
 
-/* Caret icon (the little triangle) */
-.navbar .dropdown-toggle .caret {
-    border-top-color: #ffffff !important;
-    border-bottom-color: #ffffff !important;
+.md-typeset .md-button {
+    border-color: #ff9800;
+    color: #ffb74d;
 }
 
-/* === BOOTSTRAP 3 STYLE ITEMS (mkdocs + bootswatch darkly often use this) === */
-.navbar .dropdown-menu > li > a {
-    color: #ffffff !important;
-}
-
-.navbar .dropdown-menu > li > a:hover,
-.navbar .dropdown-menu > li > a:focus {
-    background-color: #e65c00 !important; /* darker orange on hover */
-    color: #ffffff !important;
-}
-
-/* === BOOTSTRAP 4+ STYLE ITEMS (if your theme uses .dropdown-item) === */
-.navbar .dropdown-item {
-    color: #ffffff !important;
-}
-
-.navbar .dropdown-item:hover,
-.navbar .dropdown-item:focus {
-    background-color: #e65c00 !important;
-    color: #ffffff !important;
+.md-typeset .md-button:hover,
+.md-typeset .md-button:focus,
+.md-typeset .md-button--primary {
+    background-color: #ff9800;
+    border-color: #ff9800;
+    color: #111111;
 }

examples/example_hud/gui/main_window.cpp

@@ -71,6 +71,7 @@ namespace imgui_desktop::gui
             ImGui::SliderFloat("X##ent", &m_entity_x, 100.f, vp->Size.x - 100.f);
             ImGui::SliderFloat("Top Y", &m_entity_top_y, 20.f, m_entity_bottom_y - 20.f);
             ImGui::SliderFloat("Bottom Y", &m_entity_bottom_y, m_entity_top_y + 20.f, vp->Size.y - 20.f);
+            ImGui::SliderFloat("Aspect", &m_entity_aspect, 1.f, 10.f);
         }
 
         if (ImGui::CollapsingHeader("Box", ImGuiTreeNodeFlags_DefaultOpen))
@@ -196,7 +197,11 @@ namespace imgui_desktop::gui
         const DashedBar dbar{m_bar_color, m_bar_outline_color, m_bar_bg_color, m_bar_width,
                              m_bar_value, m_bar_dash_len,      m_bar_dash_gap, m_bar_offset};
 
-        omath::hud::EntityOverlay({m_entity_x, m_entity_top_y}, {m_entity_x, m_entity_bottom_y},
+        auto outline_helper = [](const bool is_outline) -> Outlined
+        {
+            return is_outline ? Outlined::On : Outlined::Off;
+        };
+        omath::hud::EntityOverlay({m_entity_x, m_entity_top_y}, {m_entity_x, m_entity_bottom_y}, m_entity_aspect,
                                   std::make_shared<omath::hud::ImguiHudRenderer>())
                 .contents(
                         // ── Boxes ────────────────────────────────────────────────────
@@ -207,47 +212,61 @@ namespace imgui_desktop::gui
                         RightSide{
                                 when(m_show_right_bar, bar),
                                 when(m_show_right_dashed_bar, dbar),
-                                when(m_show_right_labels,
-                                     Label{{0.f, 1.f, 0.f, 1.f}, m_label_offset, m_outlined, "Health: 100/100"}),
-                                when(m_show_right_labels,
-                                     Label{{1.f, 0.f, 0.f, 1.f}, m_label_offset, m_outlined, "Shield: 125/125"}),
-                                when(m_show_right_labels,
-                                     Label{{1.f, 0.f, 1.f, 1.f}, m_label_offset, m_outlined, "*LOCKED*"}),
+                                when(m_show_right_labels, Label{{0.f, 1.f, 0.f, 1.f},
+                                                                m_label_offset,
+                                                                outline_helper(m_outlined),
+                                                                "Health: 100/100"}),
+                                when(m_show_right_labels, Label{{1.f, 0.f, 0.f, 1.f},
+                                                                m_label_offset,
+                                                                outline_helper(m_outlined),
+                                                                "Shield: 125/125"}),
+                                when(m_show_right_labels, Label{{1.f, 0.f, 1.f, 1.f},
+                                                                m_label_offset,
+                                                                outline_helper(m_outlined),
+                                                                "*LOCKED*"}),
 
-                            SpaceVertical{10},
+                                SpaceVertical{10},
                                 when(m_show_ring, ProgressRing{m_ring_color, m_ring_bg, m_ring_radius, m_ring_ratio,
                                                                m_ring_thickness, m_ring_offset}),
                         },
                         LeftSide{
                                 when(m_show_left_bar, bar),
                                 when(m_show_left_dashed_bar, dbar),
-                                when(m_show_left_labels, Label{omath::Color::from_rgba(255, 128, 0, 255),
-                                                               m_label_offset, m_outlined, "Armor: 75"}),
-                                when(m_show_left_labels, Label{omath::Color::from_rgba(0, 200, 255, 255),
-                                                               m_label_offset, m_outlined, "Level: 42"}),
+                                when(m_show_left_labels,
+                                     Label{omath::Color::from_rgba(255, 128, 0, 255), m_label_offset,
+                                           outline_helper(m_outlined), "Armor: 75"}),
+                                when(m_show_left_labels,
+                                     Label{omath::Color::from_rgba(0, 200, 255, 255), m_label_offset,
+                                           outline_helper(m_outlined), "Level: 42"}),
                         },
                         TopSide{
                                 when(m_show_top_bar, bar),
                                 when(m_show_top_dashed_bar, dbar),
-                                when(m_show_centered_top, Centered{Label{omath::Color::from_rgba(0, 255, 255, 255),
-                                                                         m_label_offset, m_outlined, "*VISIBLE*"}}),
+                                when(m_show_centered_top,
+                                     Centered{Label{omath::Color::from_rgba(0, 255, 255, 255), m_label_offset,
+                                                    outline_helper(m_outlined), "*VISIBLE*"}}),
                                 when(m_show_top_labels, Label{omath::Color::from_rgba(255, 255, 0, 255), m_label_offset,
-                                                              m_outlined, "*SCOPED*"}),
+                                                              outline_helper(m_outlined), "*SCOPED*"}),
                                 when(m_show_top_labels, Label{omath::Color::from_rgba(255, 0, 0, 255), m_label_offset,
-                                                              m_outlined, "*BLEEDING*"}),
+                                                              outline_helper(m_outlined), "*BLEEDING*"}),
                         },
                         BottomSide{
                                 when(m_show_bottom_bar, bar),
                                 when(m_show_bottom_dashed_bar, dbar),
-                                when(m_show_centered_bottom, Centered{Label{omath::Color::from_rgba(255, 255, 255, 255),
-                                                                            m_label_offset, m_outlined, "PlayerName"}}),
+                                when(m_show_centered_bottom,
+                                     Centered{Label{omath::Color::from_rgba(255, 255, 255, 255), m_label_offset,
+                                                    outline_helper(m_outlined), "PlayerName"}}),
                                 when(m_show_bottom_labels, Label{omath::Color::from_rgba(200, 200, 0, 255),
-                                                                 m_label_offset, m_outlined, "42m"}),
+                                                                 m_label_offset, outline_helper(m_outlined), "42m"}),
                         },
-                        when(m_show_aim, AimDot{{m_entity_x, m_entity_top_y+40.f}, m_aim_color, m_aim_radius}),
+                        when(m_show_aim, AimDot{{m_entity_x, m_entity_top_y + 40.f}, m_aim_color, m_aim_radius}),
                         when(m_show_scan, ScanMarker{m_scan_color, m_scan_outline, m_scan_outline_thickness}),
                         when(m_show_skeleton, Skeleton{m_skel_color, m_skel_thickness}),
-                        when(m_show_proj, ProjectileAim{{m_proj_pos_x, m_proj_pos_y}, m_proj_color, m_proj_size, m_proj_line_width, static_cast<ProjectileAim::Figure>(m_proj_figure)}),
+                        when(m_show_proj, ProjectileAim{{m_proj_pos_x, m_proj_pos_y},
+                                                        m_proj_color,
+                                                        m_proj_size,
+                                                        m_proj_line_width,
+                                                        static_cast<ProjectileAim::Figure>(m_proj_figure)}),
                         when(m_show_snap, SnapLine{{vp->Size.x / 2.f, vp->Size.y}, m_snap_color, m_snap_width}));
     }
 

examples/example_hud/gui/main_window.hpp

@@ -26,8 +26,7 @@ namespace imgui_desktop::gui
         bool m_opened = true;
 
         // Entity
-        float m_entity_x = 550.f, m_entity_top_y = 150.f, m_entity_bottom_y = 450.f;
-
+        float m_entity_x = 550.f, m_entity_top_y = 150.f, m_entity_bottom_y = 450.f, m_entity_aspect = 4.f;
         // Box
         omath::Color m_box_color{1.f, 1.f, 1.f, 1.f};
         omath::Color m_box_fill{0.f, 0.f, 0.f, 0.f};

include/omath/engines/rage_engine/camera.hpp

@@ -0,0 +1,13 @@
+//
+// Created by Orange 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 Orange 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 Orange 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 Orange 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 Orange 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 Orange 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 Orange 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/entity_overlay.hpp

@@ -15,7 +15,7 @@ namespace omath::hud
     class EntityOverlay final
     {
     public:
-        EntityOverlay(const Vector2<float>& top, const Vector2<float>& bottom,
+        EntityOverlay(const Vector2<float>& top, const Vector2<float>& bottom, float aspect,
                       const std::shared_ptr<HudRendererInterface>& renderer);
 
         // ── Boxes ────────────────────────────────────────────────────────
@@ -57,22 +57,22 @@ namespace omath::hud
                                              float offset = 5.f);
 
         // ── Labels ───────────────────────────────────────────────────────
-        EntityOverlay& add_right_label(const Color& color, float offset, bool outlined, const std::string_view& text);
+        EntityOverlay& add_right_label(const Color& color, float offset, widget::Outlined outlined, const std::string_view& text);
 
-        EntityOverlay& add_left_label(const Color& color, float offset, bool outlined, const std::string_view& text);
+        EntityOverlay& add_left_label(const Color& color, float offset, widget::Outlined outlined, const std::string_view& text);
 
-        EntityOverlay& add_top_label(const Color& color, float offset, bool outlined, std::string_view text);
+        EntityOverlay& add_top_label(const Color& color, float offset, widget::Outlined outlined, std::string_view text);
 
-        EntityOverlay& add_bottom_label(const Color& color, float offset, bool outlined, std::string_view text);
+        EntityOverlay& add_bottom_label(const Color& color, float offset, widget::Outlined outlined, std::string_view text);
 
-        EntityOverlay& add_centered_top_label(const Color& color, float offset, bool outlined,
+        EntityOverlay& add_centered_top_label(const Color& color, float offset, widget::Outlined outlined,
                                               const std::string_view& text);
 
-        EntityOverlay& add_centered_bottom_label(const Color& color, float offset, bool outlined,
+        EntityOverlay& add_centered_bottom_label(const Color& color, float offset, widget::Outlined outlined,
                                                  const std::string_view& text);
 
         template<typename... Args>
-        EntityOverlay& add_right_label(const Color& color, const float offset, const bool outlined, std::format_string<Args...> fmt,
+        EntityOverlay& add_right_label(const Color& color, const float offset, const widget::Outlined outlined, std::format_string<Args...> fmt,
                                        Args&&... args)
         {
             return add_right_label(color, offset, outlined,
@@ -80,7 +80,7 @@ namespace omath::hud
         }
 
         template<typename... Args>
-        EntityOverlay& add_left_label(const Color& color, const float offset, const bool outlined, std::format_string<Args...> fmt,
+        EntityOverlay& add_left_label(const Color& color, const float offset, const widget::Outlined outlined, std::format_string<Args...> fmt,
                                       Args&&... args)
         {
             return add_left_label(color, offset, outlined,
@@ -88,7 +88,7 @@ namespace omath::hud
         }
 
         template<typename... Args>
-        EntityOverlay& add_top_label(const Color& color, const float offset, const bool outlined, std::format_string<Args...> fmt,
+        EntityOverlay& add_top_label(const Color& color, const float offset, const widget::Outlined outlined, std::format_string<Args...> fmt,
                                      Args&&... args)
         {
             return add_top_label(color, offset, outlined,
@@ -96,7 +96,7 @@ namespace omath::hud
         }
 
         template<typename... Args>
-        EntityOverlay& add_bottom_label(const Color& color, const float offset, const bool outlined,
+        EntityOverlay& add_bottom_label(const Color& color, const float offset, const widget::Outlined outlined,
                                         std::format_string<Args...> fmt, Args&&... args)
         {
             return add_bottom_label(color, offset, outlined,
@@ -104,7 +104,7 @@ namespace omath::hud
         }
 
         template<typename... Args>
-        EntityOverlay& add_centered_top_label(const Color& color, const float offset, const bool outlined,
+        EntityOverlay& add_centered_top_label(const Color& color, const float offset, const widget::Outlined outlined,
                                               std::format_string<Args...> fmt, Args&&... args)
         {
             return add_centered_top_label(color, offset, outlined,
@@ -112,7 +112,7 @@ namespace omath::hud
         }
 
         template<typename... Args>
-        EntityOverlay& add_centered_bottom_label(const Color& color, const float offset, const bool outlined,
+        EntityOverlay& add_centered_bottom_label(const Color& color, const float offset, const widget::Outlined outlined,
                                                  std::format_string<Args...> fmt, Args&&... args)
         {
             return add_centered_bottom_label(color, offset, outlined,

include/omath/hud/entity_overlay_widgets.hpp

@@ -30,6 +30,11 @@ namespace omath::hud::widget
         float thickness = 1.f;
     };
 
+    enum class Outlined
+    {
+        Off,
+        On,
+    };
     struct CorneredBox
     {
         Color color;
@@ -118,7 +123,7 @@ namespace omath::hud::widget
     {
         Color color;
         float offset;
-        bool outlined;
+        Outlined outlined;
         std::string_view text;
     };
 

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"
@@ -101,4 +107,4 @@
 
 // Utility
 #include "omath/utility/pattern_scan.hpp"
-#include "omath/utility/pe_pattern_scan.hpp"
+#include "omath/utility/pe_pattern_scan.hpp"

mkdocs.yml

@@ -1,7 +1,28 @@
 site_name: OMATH Docs
 theme:
-  name: darkly
+  name: material
+  font:
+    text: Roboto
+    code: Roboto Mono
+  palette:
+    scheme: slate
+    primary: black
+    accent: orange
+  features:
+    - navigation.instant
+    - navigation.tracking
+    - navigation.sections
+    - navigation.top
+    - search.highlight
+    - content.code.copy
+markdown_extensions:
+  - pymdownx.highlight:
+      anchor_linenums: true
+      line_spans: __span
+      pygments_lang_class: true
+  - pymdownx.inlinehilite
+  - pymdownx.superfences
 extra_css:
   - styles/center.css
   - styles/custom-header.css
-  - styles/links.css
+  - styles/links.css

source/engines/rage_engine/formulas.cpp

@@ -0,0 +1,71 @@
+//
+// Created by Orange 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 Orange 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/hooks/hooks_manager.cpp

@@ -660,7 +660,7 @@ namespace omath::hooks
 
     LRESULT __stdcall HooksManager::wnd_proc_detour(HWND hwnd, UINT msg, WPARAM w_param, LPARAM l_param)
     {
-        auto& mgr = get();
+        const auto& mgr = get();
         callback_ptr<wnd_proc_callback> cb;
         WNDPROC original;
         {

source/hud/entity_overlay.cpp

@@ -98,10 +98,11 @@ namespace omath::hud
 
         return *this;
     }
-    EntityOverlay& EntityOverlay::add_right_label(const Color& color, const float offset, const bool outlined,
+    EntityOverlay& EntityOverlay::add_right_label(const Color& color, const float offset,
+                                                  const widget::Outlined outlined,
                                                   const std::string_view& text)
     {
-        if (outlined)
+        if (outlined == widget::Outlined::On)
             draw_outlined_text(m_text_cursor_right + Vector2<float>{offset, 0.f}, color, text);
         else
             m_renderer->add_text(m_text_cursor_right + Vector2<float>{offset, 0.f}, color, text.data());
@@ -110,12 +111,12 @@ namespace omath::hud
 
         return *this;
     }
-    EntityOverlay& EntityOverlay::add_top_label(const Color& color, const float offset, const bool outlined,
+    EntityOverlay& EntityOverlay::add_top_label(const Color& color, const float offset, const widget::Outlined outlined,
                                                 const std::string_view text)
     {
         m_text_cursor_top.y -= m_renderer->calc_text_size(text.data()).y;
 
-        if (outlined)
+        if (outlined == widget::Outlined::On)
             draw_outlined_text(m_text_cursor_top + Vector2<float>{0.f, -offset}, color, text);
         else
             m_renderer->add_text(m_text_cursor_top + Vector2<float>{0.f, -offset}, color, text.data());
@@ -392,12 +393,12 @@ namespace omath::hud
         return *this;
     }
 
-    EntityOverlay& EntityOverlay::add_bottom_label(const Color& color, const float offset, const bool outlined,
+    EntityOverlay& EntityOverlay::add_bottom_label(const Color& color, const float offset, const widget::Outlined outlined,
                                                    const std::string_view text)
     {
         const auto text_size = m_renderer->calc_text_size(text);
 
-        if (outlined)
+        if (outlined == widget::Outlined::On)
             draw_outlined_text(m_text_cursor_bottom + Vector2<float>{0.f, offset}, color, text);
         else
             m_renderer->add_text(m_text_cursor_bottom + Vector2<float>{0.f, offset}, color, text);
@@ -407,13 +408,13 @@ namespace omath::hud
         return *this;
     }
 
-    EntityOverlay& EntityOverlay::add_left_label(const Color& color, const float offset, const bool outlined,
+    EntityOverlay& EntityOverlay::add_left_label(const Color& color, const float offset, const widget::Outlined outlined,
                                                  const std::string_view& text)
     {
         const auto text_size = m_renderer->calc_text_size(text);
         const auto pos = m_text_cursor_left + Vector2<float>{-(offset + text_size.x), 0.f};
 
-        if (outlined)
+        if (outlined == widget::Outlined::On)
             draw_outlined_text(pos, color, text);
         else
             m_renderer->add_text(pos, color, text);
@@ -423,7 +424,7 @@ namespace omath::hud
         return *this;
     }
 
-    EntityOverlay& EntityOverlay::add_centered_bottom_label(const Color& color, const float offset, const bool outlined,
+    EntityOverlay& EntityOverlay::add_centered_bottom_label(const Color& color, const float offset, const widget::Outlined outlined,
                                                             const std::string_view& text)
     {
         const auto text_size = m_renderer->calc_text_size(text);
@@ -431,7 +432,7 @@ namespace omath::hud
                 m_canvas.bottom_left_corner.x + (m_canvas.bottom_right_corner.x - m_canvas.bottom_left_corner.x) / 2.f;
         const auto pos = Vector2<float>{box_center_x - text_size.x / 2.f, m_text_cursor_bottom.y + offset};
 
-        if (outlined)
+        if (outlined == widget::Outlined::On)
             draw_outlined_text(pos, color, text);
         else
             m_renderer->add_text(pos, color, text);
@@ -441,7 +442,7 @@ namespace omath::hud
         return *this;
     }
 
-    EntityOverlay& EntityOverlay::add_centered_top_label(const Color& color, const float offset, const bool outlined,
+    EntityOverlay& EntityOverlay::add_centered_top_label(const Color& color, const float offset, const widget::Outlined outlined,
                                                          const std::string_view& text)
     {
         const auto text_size = m_renderer->calc_text_size(text);
@@ -451,7 +452,7 @@ namespace omath::hud
         m_text_cursor_top.y -= text_size.y;
         const auto pos = Vector2<float>{box_center_x - text_size.x / 2.f, m_text_cursor_top.y - offset};
 
-        if (outlined)
+        if (outlined == widget::Outlined::On)
             draw_outlined_text(pos, color, text);
         else
             m_renderer->add_text(pos, color, text);
@@ -459,9 +460,9 @@ namespace omath::hud
         return *this;
     }
 
-    EntityOverlay::EntityOverlay(const Vector2<float>& top, const Vector2<float>& bottom,
+    EntityOverlay::EntityOverlay(const Vector2<float>& top, const Vector2<float>& bottom, const float aspect,
                                  const std::shared_ptr<HudRendererInterface>& renderer)
-        : m_canvas(top, bottom), m_text_cursor_right(m_canvas.top_right_corner),
+        : m_canvas(top, bottom, aspect), m_text_cursor_right(m_canvas.top_right_corner),
           m_text_cursor_top(m_canvas.top_left_corner), m_text_cursor_bottom(m_canvas.bottom_left_corner),
           m_text_cursor_left(m_canvas.top_left_corner), m_renderer(renderer)
     {

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");

source/lua/lua_hud.cpp

@@ -159,13 +159,19 @@ namespace
         return {1.f, 1.f, 1.f, 1.f};
     }
 
+    [[nodiscard]]
+    omath::hud::widget::Outlined outlined_from_bool(const bool outlined)
+    {
+        return outlined ? omath::hud::widget::Outlined::On : omath::hud::widget::Outlined::Off;
+    }
+
     [[nodiscard]]
     omath::hud::EntityOverlay make_overlay(const omath::Vector2<float>& top, const omath::Vector2<float>& bottom,
                                            const std::shared_ptr<LuaHudRenderer>& renderer)
     {
         if (!renderer)
             throw std::invalid_argument("hud renderer must not be nil");
-        return {top, bottom, renderer};
+        return {top, bottom, 4.f, renderer};
     }
 
     [[nodiscard]]
@@ -374,37 +380,37 @@ namespace omath::lua
                 [](omath::hud::EntityOverlay& overlay, const omath::Color& color, const float offset,
                    const bool outlined, const std::string& text) -> omath::hud::EntityOverlay&
                 {
-                    return overlay.add_right_label(color, offset, outlined, text);
+                    return overlay.add_right_label(color, offset, outlined_from_bool(outlined), text);
                 },
                 "add_left_label",
                 [](omath::hud::EntityOverlay& overlay, const omath::Color& color, const float offset,
                    const bool outlined, const std::string& text) -> omath::hud::EntityOverlay&
                 {
-                    return overlay.add_left_label(color, offset, outlined, text);
+                    return overlay.add_left_label(color, offset, outlined_from_bool(outlined), text);
                 },
                 "add_top_label",
                 [](omath::hud::EntityOverlay& overlay, const omath::Color& color, const float offset,
                    const bool outlined, const std::string& text) -> omath::hud::EntityOverlay&
                 {
-                    return overlay.add_top_label(color, offset, outlined, text);
+                    return overlay.add_top_label(color, offset, outlined_from_bool(outlined), text);
                 },
                 "add_bottom_label",
                 [](omath::hud::EntityOverlay& overlay, const omath::Color& color, const float offset,
                    const bool outlined, const std::string& text) -> omath::hud::EntityOverlay&
                 {
-                    return overlay.add_bottom_label(color, offset, outlined, text);
+                    return overlay.add_bottom_label(color, offset, outlined_from_bool(outlined), text);
                 },
                 "add_centered_top_label",
                 [](omath::hud::EntityOverlay& overlay, const omath::Color& color, const float offset,
                    const bool outlined, const std::string& text) -> omath::hud::EntityOverlay&
                 {
-                    return overlay.add_centered_top_label(color, offset, outlined, text);
+                    return overlay.add_centered_top_label(color, offset, outlined_from_bool(outlined), text);
                 },
                 "add_centered_bottom_label",
                 [](omath::hud::EntityOverlay& overlay, const omath::Color& color, const float offset,
                    const bool outlined, const std::string& text) -> omath::hud::EntityOverlay&
                 {
-                    return overlay.add_centered_bottom_label(color, offset, outlined, text);
+                    return overlay.add_centered_bottom_label(color, offset, outlined_from_bool(outlined), text);
                 },
 
                 "add_right_space_vertical", &omath::hud::EntityOverlay::add_right_space_vertical,

tests/engines/unit_test_rage_engine.cpp

@@ -0,0 +1,101 @@
+//
+// Created by Orange 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));
+}

tests/general/unit_test_projection.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/unreal_engine/camera.hpp>
 #include <omath/linear_algebra/triangle.hpp>
@@ -16,6 +17,49 @@
 #include <print>
 #include <random>
 
+template<class NumericType>
+static NumericType random_visible_component(std::mt19937& gen, std::uniform_real_distribution<NumericType>& dist)
+{
+    auto value = dist(gen);
+    if (std::abs(value) < static_cast<NumericType>(50))
+        value += value < NumericType{} ? -static_cast<NumericType>(50) : static_cast<NumericType>(50);
+
+    return value;
+}
+
+template<class CameraType, class ViewAnglesType, class NumericType>
+static void verify_random_look_at_targets_project_to_screen_center(const omath::Vector3<NumericType>& origin,
+                                                                   const ViewAnglesType& view_angles,
+                                                                   const omath::projection::ViewPort& view_port,
+                                                                   const NumericType near_plane,
+                                                                   const NumericType far_plane, const unsigned int seed)
+{
+    std::mt19937 gen(seed);
+    std::uniform_real_distribution<NumericType> dist(static_cast<NumericType>(-500), static_cast<NumericType>(500));
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(75.f);
+    auto cam = CameraType(origin, view_angles, view_port, fov, near_plane, far_plane);
+    const auto screen_center_x = static_cast<NumericType>(view_port.m_width / 2.f);
+    const auto screen_center_y = static_cast<NumericType>(view_port.m_height / 2.f);
+
+    for (int i = 0; i < 100; i++)
+    {
+        const auto target = origin
+                            + omath::Vector3<NumericType>{
+                                    random_visible_component(gen, dist),
+                                    random_visible_component(gen, dist),
+                                    random_visible_component(gen, dist),
+                            };
+
+        cam.look_at(target);
+
+        const auto projected = cam.world_to_screen(target);
+        ASSERT_TRUE(projected.has_value()) << "iteration: " << i;
+        EXPECT_NEAR(projected->x, screen_center_x, static_cast<NumericType>(0.1));
+        EXPECT_NEAR(projected->y, screen_center_y, static_cast<NumericType>(0.1));
+    }
+}
+
 TEST(UnitTestProjection, Projection)
 {
     constexpr auto fov = omath::Angle<float, 0.f, 180.f, omath::AngleFlags::Clamped>::from_degrees(90.f);
@@ -1115,6 +1159,54 @@ TEST(UnitTestProjection, LookAt_ForwardVectorPointsAtTarget)
     EXPECT_NEAR(fwd.z, 0.f, 1e-4f);
 }
 
+TEST(UnitTestProjection, SourceEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::source_engine::Camera>(
+            {10.f, -20.f, 30.f}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, 0.01f, 5000.f, 101);
+}
+
+TEST(UnitTestProjection, UnityEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::unity_engine::Camera>(
+            {-15.f, 25.f, -35.f}, omath::unity_engine::ViewAngles{}, {1280.f, 720.f}, 0.03f, 5000.f, 102);
+}
+
+TEST(UnitTestProjection, UnrealEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::unreal_engine::Camera>(
+            {100.0, -50.0, 25.0}, omath::unreal_engine::ViewAngles{}, {1920.f, 1080.f}, 0.01, 5000.0, 103);
+}
+
+TEST(UnitTestProjection, FrostbiteEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::frostbite_engine::Camera>(
+            {-4.f, 2.f, 8.f}, omath::frostbite_engine::ViewAngles{}, {1600.f, 900.f}, 0.01f, 5000.f, 104);
+}
+
+TEST(UnitTestProjection, IWEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::iw_engine::Camera>(
+            {40.f, -60.f, 20.f}, omath::iw_engine::ViewAngles{}, {1920.f, 1080.f}, 0.01f, 5000.f, 105);
+}
+
+TEST(UnitTestProjection, OpenGLEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::opengl_engine::Camera>(
+            {-30.f, 70.f, 15.f}, omath::opengl_engine::ViewAngles{}, {1920.f, 1080.f}, 0.01f, 5000.f, 106);
+}
+
+TEST(UnitTestProjection, CryEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::cry_engine::Camera>(
+            {5.f, 15.f, -25.f}, omath::cry_engine::ViewAngles{}, {1280.f, 720.f}, 0.01f, 5000.f, 107);
+}
+
+TEST(UnitTestProjection, RageEngine_LookAtRandomWorldPointsProjectToScreenCenter)
+{
+    verify_random_look_at_targets_project_to_screen_center<omath::rage_engine::Camera>(
+            {-5.f, 45.f, 10.f}, omath::rage_engine::ViewAngles{}, {1280.f, 720.f}, 0.01f, 5000.f, 108);
+}
+
 // ---- is_culled_by_frustum (triangle) ----
 
 TEST(UnitTestProjection, TriangleInsideFrustumNotCulled)