added constexpr engine traits

include/omath/engines/frostbite_engine/formulas.hpp

@@ -8,31 +8,87 @@
 namespace omath::frostbite_engine
 {
     [[nodiscard]]
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> right_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_right);
 
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_origin(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR 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);
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_scale(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
+    {
+        return mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.roll)
+               * mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(angles.yaw)
+               * mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch);
+    }
 
     [[nodiscard]]
-    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
 
     [[nodiscard]]
-    Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
-                                             NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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.y),
+                RollAngle::from_degrees(angles.z),
+        };
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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 = NDCDepthRange::NEGATIVE_ONE_TO_ONE) 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();
+    }
 
     template<class FloatingType>
     requires std::is_floating_point_v<FloatingType>

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

@@ -4,6 +4,7 @@
 
 #pragma once
 #include "omath/engines/frostbite_engine/formulas.hpp"
+#include "omath/internal/optional_constexpr_math.hpp"
 #include "omath/projection/camera.hpp"
 
 namespace omath::frostbite_engine
@@ -12,13 +13,29 @@ namespace omath::frostbite_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+        OMATH_CONSTEXPR static ViewAngles 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(-internal::asin(direction.y)),
+                    YawAngle::from_radians(internal::atan2(direction.x, direction.z)), RollAngle::from_radians(0.f)};
+        }
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        OMATH_CONSTEXPR static Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                       const Vector3<float>& cam_origin) noexcept
+        {
+            return frostbite_engine::calc_view_matrix(angles, cam_origin);
+        }
         [[nodiscard]]
-        static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             float near, float far, NDCDepthRange ndc_depth_range) noexcept;
+        OMATH_CONSTEXPR static Mat4X4
+        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::unreal_engine
+} // namespace omath::unreal_engine

include/omath/engines/iw_engine/formulas.hpp

@@ -8,31 +8,85 @@
 namespace omath::iw_engine
 {
     [[nodiscard]]
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_origin(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
+    {
+        return mat_rotation_axis_z(angles.yaw) * mat_rotation_axis_y(angles.pitch) * mat_rotation_axis_x(angles.roll);
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_scale(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
 
     [[nodiscard]]
-    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
-
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
 
     [[nodiscard]]
-    Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
-                                             NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
+    inline OMATH_CONSTEXPR ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept
+    {
+        const auto angles = mat_extract_rotation_zyx(mat);
+        return {
+                PitchAngle::from_degrees(angles.y),
+                YawAngle::from_degrees(angles.z),
+                RollAngle::from_degrees(angles.x),
+        };
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                   const Vector3<float>& cam_origin) noexcept
+    {
+        return mat_camera_view(forward_vector(angles), right_vector(angles), up_vector(angles), cam_origin);
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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 = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept
+    {
+        constexpr float k_source_reference_aspect = 4.f / 3.f;
+        const auto vertical_fov = angles::horizontal_fov_to_vertical(field_of_view, k_source_reference_aspect);
+
+        if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
+            return mat_perspective_left_handed_vertical_fov<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
+                    vertical_fov, 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>(
+                    vertical_fov, aspect_ratio, near, far);
+        std::unreachable();
+    }
 
     template<class FloatingType>
     requires std::is_floating_point_v<FloatingType>

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

@@ -3,7 +3,8 @@
 //
 
 #pragma once
-#include "omath/engines/iw_engine/constants.hpp"
+#include "omath/engines/iw_engine/formulas.hpp"
+#include "omath/internal/optional_constexpr_math.hpp"
 #include "omath/projection/camera.hpp"
 
 namespace omath::iw_engine
@@ -12,13 +13,29 @@ namespace omath::iw_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+        OMATH_CONSTEXPR static ViewAngles 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(-internal::asin(direction.z)),
+                    YawAngle::from_radians(internal::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
+        }
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        OMATH_CONSTEXPR static Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                       const Vector3<float>& cam_origin) noexcept
+        {
+            return iw_engine::calc_view_matrix(angles, cam_origin);
+        }
         [[nodiscard]]
-        static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             float near, float far, NDCDepthRange ndc_depth_range) noexcept;
+        OMATH_CONSTEXPR static Mat4X4
+        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::iw_engine
+} // namespace omath::iw_engine

include/omath/engines/opengl_engine/formulas.hpp

@@ -7,31 +7,89 @@
 namespace omath::opengl_engine
 {
     [[nodiscard]]
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> forward_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec =
+                rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_forward);
+
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> right_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec =
+                rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_right);
 
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> up_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec = rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_up);
+
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_origin(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                   const Vector3<float>& cam_origin) noexcept
+    {
+        return mat_look_at_right_handed(cam_origin, cam_origin + forward_vector(angles), up_vector(angles));
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_scale(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
+    {
+        return mat_rotation_axis_z<float, MatStoreType::COLUMN_MAJOR>(angles.roll)
+               * mat_rotation_axis_y<float, MatStoreType::COLUMN_MAJOR>(angles.yaw)
+               * mat_rotation_axis_x<float, MatStoreType::COLUMN_MAJOR>(angles.pitch);
+    }
 
     [[nodiscard]]
-    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
 
     [[nodiscard]]
-    Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
-                                             NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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.y),
+                RollAngle::from_degrees(angles.z),
+        };
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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 = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept
+    {
+        if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
+            return mat_perspective_right_handed_vertical_fov<
+                    float, MatStoreType::COLUMN_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
+                    field_of_view, aspect_ratio, near, far);
+
+        if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
+            return mat_perspective_right_handed_vertical_fov<
+                    float, MatStoreType::COLUMN_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
+                    field_of_view, aspect_ratio, near, far);
+
+        std::unreachable();
+    }
 
     template<class FloatingType>
     requires std::is_floating_point_v<FloatingType>

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

@@ -3,7 +3,8 @@
 //
 
 #pragma once
-#include "omath/engines/opengl_engine/constants.hpp"
+#include "omath/engines/opengl_engine/formulas.hpp"
+#include "omath/internal/optional_constexpr_math.hpp"
 #include "omath/projection/camera.hpp"
 
 namespace omath::opengl_engine
@@ -12,13 +13,30 @@ namespace omath::opengl_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+        OMATH_CONSTEXPR static ViewAngles 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(internal::asin(direction.y)),
+                    YawAngle::from_radians(-internal::atan2(direction.x, -direction.z)),
+                    RollAngle::from_radians(0.f)};
+        }
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        OMATH_CONSTEXPR static Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                       const Vector3<float>& cam_origin) noexcept
+        {
+            return opengl_engine::calc_view_matrix(angles, cam_origin);
+        }
         [[nodiscard]]
-        static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             float near, float far, NDCDepthRange ndc_depth_range) noexcept;
+        OMATH_CONSTEXPR static Mat4X4
+        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::opengl_engine
+} // namespace omath::opengl_engine

include/omath/engines/rage_engine/formulas.hpp

@@ -9,31 +9,86 @@
 namespace omath::rage_engine
 {
     [[nodiscard]]
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> right_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_right);
 
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_origin(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR 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);
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_scale(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR 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);
+    }
 
     [[nodiscard]]
-    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
 
     [[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;
+    inline OMATH_CONSTEXPR Vector3<float> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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),
+        };
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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 = NDCDepthRange::ZERO_TO_ONE) 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();
+    }
 
     template<class FloatingType>
     requires std::is_floating_point_v<FloatingType>

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

@@ -4,6 +4,7 @@
 
 #pragma once
 #include "omath/engines/rage_engine/formulas.hpp"
+#include "omath/internal/optional_constexpr_math.hpp"
 #include "omath/projection/camera.hpp"
 
 namespace omath::rage_engine
@@ -12,13 +13,29 @@ namespace omath::rage_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+        OMATH_CONSTEXPR static ViewAngles 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(internal::asin(direction.z)),
+                    YawAngle::from_radians(-internal::atan2(direction.x, direction.y)), RollAngle::from_radians(0.f)};
+        }
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        OMATH_CONSTEXPR static Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                       const Vector3<float>& cam_origin) noexcept
+        {
+            return rage_engine::calc_view_matrix(angles, cam_origin);
+        }
         [[nodiscard]]
-        static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             float near, float far, NDCDepthRange ndc_depth_range) noexcept;
+        OMATH_CONSTEXPR static Mat4X4
+        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

include/omath/engines/source_engine/formulas.hpp

@@ -7,31 +7,85 @@
 namespace omath::source_engine
 {
     [[nodiscard]]
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_origin(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
+    {
+        return mat_rotation_axis_z(angles.yaw) * mat_rotation_axis_y(angles.pitch) * mat_rotation_axis_x(angles.roll);
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_scale(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
 
     [[nodiscard]]
-    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
 
     [[nodiscard]]
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept
+    {
+        const auto angles = mat_extract_rotation_zyx(mat);
+        return {
+                PitchAngle::from_degrees(angles.y),
+                YawAngle::from_degrees(angles.z),
+                RollAngle::from_degrees(angles.x),
+        };
+    }
 
     [[nodiscard]]
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> right_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_right);
 
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
-                                             NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                   const Vector3<float>& cam_origin) noexcept
+    {
+        return mat_camera_view(forward_vector(angles), right_vector(angles), up_vector(angles), cam_origin);
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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 = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept
+    {
+        constexpr float k_source_reference_aspect = 4.f / 3.f;
+        const auto vertical_fov = angles::horizontal_fov_to_vertical(field_of_view, k_source_reference_aspect);
+
+        if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
+            return mat_perspective_left_handed_vertical_fov<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
+                    vertical_fov, 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>(
+                    vertical_fov, aspect_ratio, near, far);
+        std::unreachable();
+    }
 
     template<class FloatingType>
     requires std::is_floating_point_v<FloatingType>

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

@@ -3,7 +3,8 @@
 //
 
 #pragma once
-#include "omath/engines/source_engine/constants.hpp"
+#include "omath/engines/source_engine/formulas.hpp"
+#include "omath/internal/optional_constexpr_math.hpp"
 #include "omath/projection/camera.hpp"
 
 namespace omath::source_engine
@@ -12,13 +13,29 @@ namespace omath::source_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+        OMATH_CONSTEXPR static ViewAngles 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(-internal::asin(direction.z)),
+                    YawAngle::from_radians(internal::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
+        }
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        OMATH_CONSTEXPR static Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                       const Vector3<float>& cam_origin) noexcept
+        {
+            return source_engine::calc_view_matrix(angles, cam_origin);
+        }
         [[nodiscard]]
-        static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             float near, float far, NDCDepthRange ndc_depth_range) noexcept;
+        OMATH_CONSTEXPR static Mat4X4
+        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::source_engine
+} // namespace omath::source_engine

include/omath/engines/unity_engine/formulas.hpp

@@ -8,31 +8,86 @@
 namespace omath::unity_engine
 {
     [[nodiscard]]
-    Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<float> right_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> up_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> right_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_right);
 
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_origin(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR 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);
+    }
 
     [[nodiscard]]
-    Vector3<float> extract_scale(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
+    {
+        return mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.roll)
+               * mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(angles.yaw)
+               * mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch);
+    }
 
     [[nodiscard]]
-    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
 
     [[nodiscard]]
-    Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
-                                             NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
+    inline OMATH_CONSTEXPR Vector3<float> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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.y),
+                RollAngle::from_degrees(angles.z),
+        };
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR 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 = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept
+    {
+        if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
+            return omath::mat_perspective_right_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 omath::mat_perspective_right_handed_vertical_fov<
+                    float, MatStoreType::ROW_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
+                    field_of_view, aspect_ratio, near, far);
+        std::unreachable();
+    }
 
     template<class FloatingType>
     requires std::is_floating_point_v<FloatingType>

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

@@ -4,6 +4,7 @@
 
 #pragma once
 #include "omath/engines/unity_engine/formulas.hpp"
+#include "omath/internal/optional_constexpr_math.hpp"
 #include "omath/projection/camera.hpp"
 
 namespace omath::unity_engine
@@ -12,13 +13,29 @@ namespace omath::unity_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
+        OMATH_CONSTEXPR static ViewAngles 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(-internal::asin(direction.y)),
+                    YawAngle::from_radians(internal::atan2(direction.x, direction.z)), RollAngle::from_radians(0.f)};
+        }
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
+        OMATH_CONSTEXPR static Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                       const Vector3<float>& cam_origin) noexcept
+        {
+            return unity_engine::calc_view_matrix(angles, cam_origin);
+        }
         [[nodiscard]]
-        static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             float near, float far, NDCDepthRange ndc_depth_range) noexcept;
+        OMATH_CONSTEXPR static Mat4X4
+        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::unity_engine
+} // namespace omath::unity_engine

include/omath/engines/unreal_engine/formulas.hpp

@@ -8,31 +8,86 @@
 namespace omath::unreal_engine
 {
     [[nodiscard]]
-    Vector3<double> forward_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
 
     [[nodiscard]]
-    Vector3<double> right_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<double> up_vector(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR Vector3<double> right_vector(const ViewAngles& angles) noexcept
+    {
+        const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_right);
 
-    [[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<double>& cam_origin) noexcept;
+        return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
+    }
 
     [[nodiscard]]
-    Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
+    inline OMATH_CONSTEXPR 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)};
+    }
 
     [[nodiscard]]
-    Vector3<double> extract_origin(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                    const Vector3<double>& cam_origin) noexcept
+    {
+        return mat_camera_view<double, MatStoreType::ROW_MAJOR>(forward_vector(angles), right_vector(angles),
+                                                               up_vector(angles), cam_origin);
+    }
 
     [[nodiscard]]
-    Vector3<double> extract_scale(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
+    {
+        return mat_rotation_axis_z<double, MatStoreType::ROW_MAJOR>(angles.yaw)
+               * mat_rotation_axis_y<double, MatStoreType::ROW_MAJOR>(-angles.pitch)
+               * mat_rotation_axis_x<double, MatStoreType::ROW_MAJOR>(-angles.roll);
+    }
 
     [[nodiscard]]
-    ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept;
+    inline OMATH_CONSTEXPR Vector3<double> extract_origin(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_origin(mat);
+    }
 
     [[nodiscard]]
-    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;
+    inline OMATH_CONSTEXPR Vector3<double> extract_scale(const Mat4X4& mat) noexcept
+    {
+        return mat_extract_scale(mat);
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept
+    {
+        const auto angles = mat_extract_rotation_zyx(mat);
+        return {
+                PitchAngle::from_degrees(-angles.y),
+                YawAngle::from_degrees(angles.z),
+                RollAngle::from_degrees(-angles.x),
+        };
+    }
+
+    [[nodiscard]]
+    inline OMATH_CONSTEXPR Mat4X4 calc_perspective_projection_matrix(
+            const double field_of_view, const double aspect_ratio, const double near, const double far,
+            const NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept
+    {
+        if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
+            return mat_perspective_left_handed_horizontal_fov<
+                    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<
+                    double, MatStoreType::ROW_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
+                    field_of_view, aspect_ratio, near, far);
+        std::unreachable();
+    }
 
     template<class FloatingType>
     requires std::is_floating_point_v<FloatingType>

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

@@ -4,6 +4,7 @@
 
 #pragma once
 #include "omath/engines/unreal_engine/formulas.hpp"
+#include "omath/internal/optional_constexpr_math.hpp"
 #include "omath/projection/camera.hpp"
 
 namespace omath::unreal_engine
@@ -12,13 +13,29 @@ namespace omath::unreal_engine
     {
     public:
         [[nodiscard]]
-        static ViewAngles calc_look_at_angle(const Vector3<double>& cam_origin, const Vector3<double>& look_at) noexcept;
+        OMATH_CONSTEXPR static ViewAngles 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(internal::asin(direction.z)),
+                    YawAngle::from_radians(internal::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
+        }
 
         [[nodiscard]]
-        static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<double>& cam_origin) noexcept;
+        OMATH_CONSTEXPR static Mat4X4 calc_view_matrix(const ViewAngles& angles,
+                                                       const Vector3<double>& cam_origin) noexcept
+        {
+            return unreal_engine::calc_view_matrix(angles, cam_origin);
+        }
         [[nodiscard]]
-        static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
-                                             double near, double far, NDCDepthRange ndc_depth_range) noexcept;
+        OMATH_CONSTEXPR static Mat4X4
+        calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
+                               const double near, 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);
+        }
     };
 
-} // namespace omath::unreal_engine
+} // namespace omath::unreal_engine