version update

CMakeLists.txt: support AVX2 detection

.github/workflows/cmake-multi-platform.yml

@@ -35,11 +35,11 @@ jobs:
 
       - name: Configure (cmake --preset)
         shell: bash
-        run: cmake --preset linux-release -DOMATH_BUILD_TESTS=ON
+        run: cmake --preset linux-release -DOMATH_BUILD_TESTS=ON -DOMATH_BUILD_BENCHMARK=OFF
 
       - name: Build
         shell: bash
-        run: cmake --build cmake-build/build/linux-release --target all
+        run: cmake --build cmake-build/build/linux-release --target unit_tests omath
 
       - name: Run unit_tests
         shell: bash
@@ -68,11 +68,11 @@ jobs:
 
       - name: Configure (cmake --preset)
         shell: bash
-        run: cmake --preset windows-release -DOMATH_BUILD_TESTS=ON
+        run: cmake --preset windows-release -DOMATH_BUILD_TESTS=ON -DOMATH_BUILD_BENCHMARK=OFF
 
       - name: Build
         shell: bash
-        run: cmake --build cmake-build/build/windows-release --target all
+        run: cmake --build cmake-build/build/windows-release --target unit_tests omath
 
       - name: Run unit_tests.exe
         shell: bash

.gitmodules

@@ -1,3 +1,6 @@
 [submodule "extlibs/googletest"]
 	path = extlibs/googletest
-	url = https://github.com/google/googletest.git
+	url = https://github.com/google/googletest.git
+[submodule "extlibs/benchmark"]
+	path = extlibs/benchmark
+	url = https://github.com/google/benchmark.git

.idea/vcs.xml

@@ -2,6 +2,7 @@
 <project version="4">
   <component name="VcsDirectoryMappings">
     <mapping directory="" vcs="Git" />
+    <mapping directory="$PROJECT_DIR$/extlibs/benchmark" vcs="Git" />
     <mapping directory="$PROJECT_DIR$/extlibs/googletest" vcs="Git" />
   </component>
 </project>

CMakeLists.txt

@@ -1,14 +1,21 @@
 cmake_minimum_required(VERSION 3.26)
 
-project(omath VERSION 3.5.0 LANGUAGES CXX)
+project(omath VERSION 3.8.2 LANGUAGES CXX)
 
 include(CMakePackageConfigHelpers)
+include(CheckCXXCompilerFlag)
 
+if (MSVC)
+    check_cxx_compiler_flag("/arch:AVX2" COMPILER_SUPPORTS_AVX2)
+else ()
+    check_cxx_compiler_flag("-mavx2" COMPILER_SUPPORTS_AVX2)
+endif ()
 
 option(OMATH_BUILD_TESTS "Build unit tests" ${PROJECT_IS_TOP_LEVEL})
+option(OMATH_BUILD_BENCHMARK "Build benchmarks" ${PROJECT_IS_TOP_LEVEL})
 option(OMATH_THREAT_WARNING_AS_ERROR "Set highest level of warnings and force compiler to treat them as errors" ON)
 option(OMATH_BUILD_AS_SHARED_LIBRARY "Build Omath as .so or .dll" OFF)
-option(OMATH_USE_AVX2 "Omath will use AVX2 to boost performance" ON)
+option(OMATH_USE_AVX2 "Omath will use AVX2 to boost performance" ${COMPILER_SUPPORTS_AVX2})
 option(OMATH_IMGUI_INTEGRATION "Omath will define method to convert omath types to imgui types" OFF)
 option(OMATH_BUILD_EXAMPLES "Build example projects with you can learn & play" OFF)
 option(OMATH_STATIC_MSVC_RUNTIME_LIBRARY "Force Omath to link static runtime" OFF)
@@ -16,9 +23,15 @@ option(OMATH_SUPRESS_SAFETY_CHECKS "Supress some safety checks in release build
 option(OMATH_USE_UNITY_BUILD "Will enable unity build to speed up compilation" OFF)
 option(OMATH_ENABLE_LEGACY "Will enable legacy classes that MUST be used ONLY for backward compatibility" OFF)
 
-message(STATUS "[${PROJECT_NAME}]: Building on ${CMAKE_HOST_SYSTEM_NAME}")
+if (OMATH_USE_AVX2 AND NOT COMPILER_SUPPORTS_AVX2)
+    message(WARNING "OMATH_USE_AVX2 requested, but compiler/target does not support AVX2. Disabling.")
+    set(OMATH_USE_AVX2 OFF CACHE BOOL "Omath will use AVX2 to boost performance" FORCE)
+endif ()
+
+message(STATUS "[${PROJECT_NAME}]: Building on ${CMAKE_HOST_SYSTEM_NAME}, compiler ${CMAKE_CXX_COMPILER_ID}")
 message(STATUS "[${PROJECT_NAME}]: Warnings as errors ${OMATH_THREAT_WARNING_AS_ERROR}")
 message(STATUS "[${PROJECT_NAME}]: Build unit tests ${OMATH_BUILD_TESTS}")
+message(STATUS "[${PROJECT_NAME}]: Build benchmark ${OMATH_BUILD_BENCHMARK}")
 message(STATUS "[${PROJECT_NAME}]: As dynamic library ${OMATH_BUILD_AS_SHARED_LIBRARY}")
 message(STATUS "[${PROJECT_NAME}]: Static C++ runtime ${OMATH_STATIC_MSVC_RUNTIME_LIBRARY}")
 message(STATUS "[${PROJECT_NAME}]: CMake unity build ${OMATH_USE_UNITY_BUILD}")
@@ -37,6 +50,7 @@ else ()
     add_library(${PROJECT_NAME} STATIC ${OMATH_SOURCES} ${OMATH_HEADERS})
 endif ()
 
+
 add_library(${PROJECT_NAME}::${PROJECT_NAME} ALIAS ${PROJECT_NAME})
 
 target_compile_definitions(${PROJECT_NAME} PUBLIC OMATH_VERSION="${PROJECT_VERSION}")
@@ -90,19 +104,30 @@ if (OMATH_STATIC_MSVC_RUNTIME_LIBRARY)
     )
 endif ()
 
-if (CMAKE_CXX_COMPILER_ID STREQUAL "Clang")
-    target_compile_options(${PROJECT_NAME} PRIVATE -mavx2 -mfma)
-endif ()
+if (OMATH_USE_AVX2)
+    if (MSVC)
+        target_compile_options(${PROJECT_NAME} PUBLIC /arch:AVX2)
+    elseif (EMSCRIPTEN)
+        target_compile_options(${PROJECT_NAME} PUBLIC -msimd128 -mavx2)
+    elseif (CMAKE_CXX_COMPILER_ID MATCHES "GNU|Clang|AppleClang")
+        target_compile_options(${PROJECT_NAME} PUBLIC -mfma -mavx2)
+    endif()
+endif()
 
 target_compile_features(${PROJECT_NAME} PUBLIC cxx_std_23)
 
+add_subdirectory(extlibs)
+
 
 if (OMATH_BUILD_TESTS)
-    add_subdirectory(extlibs)
     add_subdirectory(tests)
     target_compile_definitions(${PROJECT_NAME} PUBLIC OMATH_BUILD_TESTS)
 endif ()
 
+if (OMATH_BUILD_BENCHMARK)
+    add_subdirectory(benchmark)
+endif ()
+
 if (OMATH_BUILD_EXAMPLES)
     add_subdirectory(examples)
 endif ()

CMakePresets.json

@@ -8,7 +8,6 @@
       "binaryDir": "${sourceDir}/cmake-build/build/${presetName}",
       "installDir": "${sourceDir}/cmake-build/install/${presetName}",
       "cacheVariables": {
-        "CMAKE_C_COMPILER": "cl.exe",
         "CMAKE_CXX_COMPILER": "cl.exe"
       },
       "condition": {
@@ -40,7 +39,6 @@
       "binaryDir": "${sourceDir}/cmake-build/build/${presetName}",
       "installDir": "${sourceDir}/cmake-build/install/${presetName}",
       "cacheVariables": {
-        "CMAKE_C_COMPILER": "clang",
         "CMAKE_CXX_COMPILER": "clang++"
       },
       "condition": {
@@ -72,7 +70,6 @@
       "binaryDir": "${sourceDir}/cmake-build/build/${presetName}",
       "installDir": "${sourceDir}/cmake-build/install/${presetName}",
       "cacheVariables": {
-        "CMAKE_C_COMPILER": "clang",
         "CMAKE_CXX_COMPILER": "clang++"
       },
       "condition": {

CREDITS.md

@@ -3,6 +3,8 @@
 Thanks to everyone who made this possible, including:
 
 - Saikari aka luadebug for VCPKG port and awesome new initial logo design.
+- AmbushedRaccoon for telegram post about omath to boost repository activity.
+- Billy O'Neal aka BillyONeal for fixing compilation issues due to C math library compatibility.
 
 And a big hand to everyone else who has contributed over the past!
 

README.md

@@ -20,9 +20,11 @@ It provides the latest features, is highly customizable, has all for cheat devel
 
 ---
 
-**[<kbd> <br> Install <br> </kbd>][INSTALL]**
-**[<kbd> <br> Examples <br> </kbd>][EXAMPLES]**
-**[<kbd> <br> Contribute <br> </kbd>][CONTRIBUTING]**
+**[<kbd> <br> Install <br> </kbd>][INSTALL]** 
+**[<kbd> <br> Examples <br> </kbd>][EXAMPLES]** 
+**[<kbd> <br> Documentation <br> </kbd>][DOCUMENTATION]** 
+**[<kbd> <br> Contribute <br> </kbd>][CONTRIBUTING]** 
+**[<kbd> <br> Donate <br> </kbd>][SPONSOR]** 
 
 ---
 
@@ -41,7 +43,7 @@ It provides the latest features, is highly customizable, has all for cheat devel
  </a>
 </div>
 
-## 👁‍🗨 Features
+# Features
 - **Efficiency**: Optimized for performance, ensuring quick computations using AVX2.
 - **Versatility**: Includes a wide array of mathematical functions and algorithms.
 - **Ease of Use**: Simplified interface for convenient integration into various projects.
@@ -50,7 +52,10 @@ It provides the latest features, is highly customizable, has all for cheat devel
 - **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, IWEngine and canonical OpenGL.
+- **Cross platform**: Supports Windows, MacOS and Linux.
+<div align = center>
+ 
 # Gallery
 
 <br>
@@ -72,48 +77,9 @@ It provides the latest features, is highly customizable, has all for cheat devel
 <br>
 <br>
 
+</div>
 
-
-## Supported Render Pipelines
-| ENGINE   | SUPPORT |
-|----------|---------|
-| Source   | ✅YES    |
-| Unity    | ✅YES    |
-| IWEngine | ✅YES    |
-| OpenGL   | ✅YES    |
-| Unreal   | ✅YES    |
-
-## Supported Operating Systems
-
-| OS             | SUPPORT |
-|----------------|---------|
-| Windows 10/11  | ✅YES    |
-| Linux          | ✅YES    |
-| Darwin (MacOS) | ✅YES    |
-
-## ❔ Usage
-ESP example
-```c++
-omath::source_engine::Camera cam{localPlayer.GetCameraOrigin(),
-                                 localPlayer.GetAimPunch(),
-                                 {1920.f, 1080.f},
-                                 localPlayer.GetFieldOfView(),
-                                 0.01.f, 30000.f};
-
-for (auto ent: apex_sdk::EntityList::GetAllEntities())
-{
-    const auto bottom = cam.world_to_screen(ent.GetOrigin());
-    const auto top = cam.world_to_screen(ent.GetBonePosition(8) + omath::Vector3<float>{0, 0, 10});
-
-    const auto ent_health = ent.GetHealth();
-
-    if (!top || !bottom || ent_health <= 0)
-        continue;
-    // esp rendering...
-}
-```
-
-## 💘 Acknowledgments
+# 💘 Acknowledgments
 -  [All contributors](https://github.com/orange-cpp/omath/graphs/contributors)
 
 <!----------------------------------{ Images }--------------------------------->
@@ -123,5 +89,7 @@ for (auto ent: apex_sdk::EntityList::GetAllEntities())
 
 <!----------------------------------{ Buttons }--------------------------------->
 [INSTALL]: INSTALL.md
+[DOCUMENTATION]: http://libomath.org
 [CONTRIBUTING]: CONTRIBUTING.md
 [EXAMPLES]: examples
+[SPONSOR]: https://boosty.to/orangecpp/purchase/3568644?ssource=DIRECT&share=subscription_link

VERSION

@@ -0,0 +1 @@
+3.8.2

benchmark/CMakeLists.txt

@@ -0,0 +1,15 @@
+project(omath_benchmark)
+
+
+file(GLOB_RECURSE OMATH_BENCHMARK_SOURCES CONFIGURE_DEPENDS "${CMAKE_CURRENT_SOURCE_DIR}/*.cpp")
+add_executable(${PROJECT_NAME} ${OMATH_BENCHMARK_SOURCES})
+
+set_target_properties(${PROJECT_NAME} PROPERTIES
+        ARCHIVE_OUTPUT_DIRECTORY "${CMAKE_SOURCE_DIR}/out/${CMAKE_BUILD_TYPE}"
+        LIBRARY_OUTPUT_DIRECTORY "${CMAKE_SOURCE_DIR}/out/${CMAKE_BUILD_TYPE}"
+        RUNTIME_OUTPUT_DIRECTORY "${CMAKE_SOURCE_DIR}/out/${CMAKE_BUILD_TYPE}"
+        CXX_STANDARD 23
+        CXX_STANDARD_REQUIRED ON)
+
+
+target_link_libraries(${PROJECT_NAME} PRIVATE benchmark::benchmark omath)

benchmark/benchmark_mat.cpp

@@ -0,0 +1,65 @@
+//
+// Created by Vlad on 9/17/2025.
+//
+#include <benchmark/benchmark.h>
+
+#include <omath/omath.hpp>
+using namespace omath;
+
+
+void mat_float_multiplication_col_major(benchmark::State& state)
+{
+    using MatType = Mat<128, 128, float, MatStoreType::COLUMN_MAJOR>;
+    MatType a;
+    MatType b;
+    a.set(3.f);
+    b.set(7.f);
+
+
+    for ([[maybe_unused]] const auto _ : state)
+        std::ignore = a * b;
+}
+void mat_float_multiplication_row_major(benchmark::State& state)
+{
+    using MatType = Mat<128, 128, float, MatStoreType::ROW_MAJOR>;
+    MatType a;
+    MatType b;
+    a.set(3.f);
+    b.set(7.f);
+
+
+    for ([[maybe_unused]] const auto _ : state)
+        std::ignore = a * b;
+}
+
+void mat_double_multiplication_row_major(benchmark::State& state)
+{
+    using MatType = Mat<128, 128, double, MatStoreType::ROW_MAJOR>;
+    MatType a;
+    MatType b;
+    a.set(3.f);
+    b.set(7.f);
+
+
+    for ([[maybe_unused]] const auto _ : state)
+        std::ignore = a * b;
+}
+
+void mat_double_multiplication_col_major(benchmark::State& state)
+{
+    using MatType = Mat<128, 128, double, MatStoreType::COLUMN_MAJOR>;
+    MatType a;
+    MatType b;
+    a.set(3.f);
+    b.set(7.f);
+
+
+    for ([[maybe_unused]] const auto _ : state)
+        std::ignore = a * b;
+}
+
+BENCHMARK(mat_float_multiplication_col_major)->Iterations(5000);
+BENCHMARK(mat_float_multiplication_row_major)->Iterations(5000);
+
+BENCHMARK(mat_double_multiplication_col_major)->Iterations(5000);
+BENCHMARK(mat_double_multiplication_row_major)->Iterations(5000);

benchmark/benchmark_projectile_pred.cpp

@@ -0,0 +1,23 @@
+//
+// Created by Vlad on 9/18/2025.
+//
+#include <benchmark/benchmark.h>
+#include <omath/omath.hpp>
+using namespace omath;
+
+using namespace omath::projectile_prediction;
+
+constexpr float simulation_time_step = 1.f / 1000.f;
+constexpr float hit_distance_tolerance = 5.f;
+
+void source_engine_projectile_prediction(benchmark::State& state)
+{
+    constexpr Target target{.m_origin = {100, 0, 90}, .m_velocity = {0, 0, 0}, .m_is_airborne = false};
+    constexpr Projectile projectile = {.m_origin = {3, 2, 1}, .m_launch_speed = 5000, .m_gravity_scale = 0.4};
+
+    for ([[maybe_unused]] const auto _: state)
+        std::ignore = ProjPredEngineLegacy(400, simulation_time_step, 50, hit_distance_tolerance)
+                              .maybe_calculate_aim_point(projectile, target);
+}
+
+BENCHMARK(source_engine_projectile_prediction)->Iterations(10'000);

benchmark/main.cpp

@@ -0,0 +1,5 @@
+//
+// Created by Vlad on 9/17/2025.
+//
+#include <benchmark/benchmark.h>
+BENCHMARK_MAIN();

extlibs/CMakeLists.txt

@@ -1 +1,9 @@
-add_subdirectory(googletest)
+
+if (OMATH_BUILD_TESTS)
+    add_subdirectory(googletest)
+endif ()
+
+if (OMATH_BUILD_BENCHMARK)
+    set(BENCHMARK_ENABLE_TESTING OFF)
+    add_subdirectory(benchmark)
+endif ()

include/omath/angle.hpp

@@ -151,21 +151,61 @@ namespace omath
     };
 } // namespace omath
 
-template<class T, T MinV, T MaxV, omath::AngleFlags F, class CharT>
-struct std::formatter<omath::Angle<T, MinV, MaxV, F>, CharT>
+template<class T, T MinV, T MaxV, omath::AngleFlags F>
+struct std::formatter<omath::Angle<T, MinV, MaxV, F>, char> // NOLINT(*-dcl58-cpp)
 {
     using AngleT = omath::Angle<T, MinV, MaxV, F>;
-    [[nodiscard]]
-    static constexpr auto parse(std::basic_format_parse_context<CharT>& ctx)
-            -> std::basic_format_parse_context<CharT>::iterator
+
+    static constexpr auto parse(std::format_parse_context& ctx)
     {
         return ctx.begin();
     }
+
     template<class FormatContext>
-    auto format(const AngleT& deg, FormatContext& ctx) const
+    [[nodiscard]]
+    auto format(const AngleT& a, FormatContext& ctx) const
     {
-        if constexpr (std::is_same_v<typename FormatContext::char_type, char>)
-            return std::format_to(ctx.out(), "{}deg", deg.as_degrees());
-        return std::format_to(ctx.out(), L"{}deg", deg.as_degrees());
+        static_assert(std::is_same_v<typename FormatContext::char_type, char>);
+        return std::format_to(ctx.out(), "{}deg", a.as_degrees());
     }
-};
+};
+
+// wchar_t formatter
+template<class T, T MinV, T MaxV, omath::AngleFlags F>
+struct std::formatter<omath::Angle<T, MinV, MaxV, F>, wchar_t> // NOLINT(*-dcl58-cpp)
+{
+    using AngleT = omath::Angle<T, MinV, MaxV, F>;
+
+    static constexpr auto parse(std::wformat_parse_context& ctx)
+    {
+        return ctx.begin();
+    }
+
+    template<class FormatContext>
+    [[nodiscard]]
+    auto format(const AngleT& a, FormatContext& ctx) const
+    {
+        static_assert(std::is_same_v<typename FormatContext::char_type, wchar_t>);
+        return std::format_to(ctx.out(), L"{}deg", a.as_degrees());
+    }
+};
+
+// wchar_t formatter
+template<class T, T MinV, T MaxV, omath::AngleFlags F>
+struct std::formatter<omath::Angle<T, MinV, MaxV, F>, char8_t> // NOLINT(*-dcl58-cpp)
+{
+    using AngleT = omath::Angle<T, MinV, MaxV, F>;
+
+    static constexpr auto parse(std::wformat_parse_context& ctx)
+    {
+        return ctx.begin();
+    }
+
+    template<class FormatContext>
+    [[nodiscard]]
+    auto format(const AngleT& a, FormatContext& ctx) const
+    {
+        static_assert(std::is_same_v<typename FormatContext::char_type, char8_t>);
+        return std::format_to(ctx.out(), u8"{}deg", a.as_degrees());
+    }
+};

include/omath/color.hpp

@@ -95,7 +95,7 @@ namespace omath
                 hsv_data.hue = 0.f;
 
             else if (max == red)
-                hsv_data.hue = 60.f * (std::fmodf(((green - blue) / delta), 6.f));
+                hsv_data.hue = 60.f * (std::fmod(static_cast<float>((green - blue) / delta), 6.f));
             else if (max == green)
                 hsv_data.hue = 60.f * (((blue - red) / delta) + 2.f);
             else if (max == blue)
@@ -164,6 +164,26 @@ namespace omath
             return {to_im_vec4()};
         }
 #endif
+        [[nodiscard]] std::string to_string() const noexcept
+        {
+            return std::format("[r:{}, g:{}, b:{}, a:{}]",
+                            static_cast<int>(x * 255.f),
+                            static_cast<int>(y * 255.f),
+                            static_cast<int>(z * 255.f),
+                            static_cast<int>(w * 255.f));
+        }
+        [[nodiscard]] std::wstring to_wstring() const noexcept
+        {
+            const auto ascii_string = to_string();
+            return {ascii_string.cbegin(), ascii_string.cend()};
+        }
+
+        // ReSharper disable once CppInconsistentNaming
+        [[nodiscard]] std::u8string to_u8string() const noexcept
+        {
+            const auto ascii_string = to_string();
+            return {ascii_string.cbegin(), ascii_string.cend()};
+        }
     };
 } // namespace omath
 template<>
@@ -174,13 +194,19 @@ struct std::formatter<omath::Color> // NOLINT(*-dcl58-cpp)
     {
         return ctx.begin();
     }
+
+    template<class FormatContext>
     [[nodiscard]]
-    static auto format(const omath::Color& col, std::format_context& ctx)
+    static auto format(const omath::Color& col, FormatContext& ctx)
     {
-        return std::format_to(ctx.out(), "[r:{}, g:{}, b:{}, a:{}]",
-            static_cast<int>(col.x * 255.f),
-            static_cast<int>(col.y * 255.f),
-            static_cast<int>(col.z * 255.f),
-            static_cast<int>(col.w * 255.f));
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char>)
+            return std::format_to(ctx.out(), "{}", col.to_string());
+        if constexpr (std::is_same_v<typename FormatContext::char_type, wchar_t>)
+            return std::format_to(ctx.out(), L"{}", col.to_wstring());
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char8_t>)
+            return std::format_to(ctx.out(), u8"{}", col.to_u8string());
+
+        return std::unreachable();
     }
 };

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

@@ -62,17 +62,15 @@ namespace omath::opengl_engine
         [[nodiscard]]
         static float calc_direct_pitch_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
         {
-            const auto distance = origin.distance_to(view_to);
-            const auto delta = view_to - origin;
-
-            return angles::radians_to_degrees(std::asin(delta.y / distance));
+            const auto direction = (view_to - origin).normalized();
+            return angles::radians_to_degrees(std::asin(direction.y));
         }
         [[nodiscard]]
         static float calc_direct_yaw_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
         {
-            const auto delta = view_to - origin;
+            const auto direction = (view_to - origin).normalized();
 
-            return angles::radians_to_degrees(std::atan2(delta.z, delta.x));
+            return angles::radians_to_degrees(-std::atan2(direction.x, -direction.z));
         };
     };
 } // namespace omath::opengl_engine

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

@@ -62,17 +62,15 @@ namespace omath::unity_engine
         [[nodiscard]]
         static float calc_direct_pitch_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
         {
-            const auto distance = origin.distance_to(view_to);
-            const auto delta = view_to - origin;
-
-            return angles::radians_to_degrees(std::asin(delta.y / distance));
+            const auto direction = (view_to - origin).normalized();
+            return angles::radians_to_degrees(std::asin(direction.y));
         }
         [[nodiscard]]
         static float calc_direct_yaw_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
         {
-            const auto delta = view_to - origin;
+            const auto direction = (view_to - origin).normalized();
 
-            return angles::radians_to_degrees(std::atan2(delta.z, delta.x));
+            return angles::radians_to_degrees(std::atan2(direction.x, direction.z));
         };
     };
 } // namespace omath::unity_engine

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

@@ -62,17 +62,16 @@ namespace omath::unreal_engine
         [[nodiscard]]
         static float calc_direct_pitch_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
         {
-            const auto distance = origin.distance_to(view_to);
-            const auto delta = view_to - origin;
+            const auto direction = (view_to - origin).normalized();
 
-            return angles::radians_to_degrees(std::asin(delta.z / distance));
+            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 delta = view_to - origin;
+            const auto direction = (view_to - origin).normalized();
 
-            return angles::radians_to_degrees(std::atan2(delta.y, delta.x));
+            return angles::radians_to_degrees(std::atan2(direction.y, direction.x));
         };
     };
 } // namespace omath::unreal_engine

include/omath/linear_algebra/mat.hpp

@@ -11,7 +11,12 @@
 #include <stdexcept>
 #include <utility>
 
+#ifdef OMATH_USE_AVX2
+#include <immintrin.h>
+#endif
 
+#undef near
+#undef far
 namespace omath
 {
     struct MatSize
@@ -155,17 +160,19 @@ namespace omath
         constexpr Mat<Rows, OtherColumns, Type, StoreType>
         operator*(const Mat<Columns, OtherColumns, Type, StoreType>& other) const
         {
-            Mat<Rows, OtherColumns, Type, StoreType> result;
-
-            for (size_t i = 0; i < Rows; ++i)
-                for (size_t j = 0; j < OtherColumns; ++j)
-                {
-                    Type sum = 0;
-                    for (size_t k = 0; k < Columns; ++k)
-                        sum += at(i, k) * other.at(k, j);
-                    result.at(i, j) = sum;
-                }
-            return result;
+#ifdef OMATH_USE_AVX2
+            if constexpr (StoreType == MatStoreType::ROW_MAJOR)
+                return avx_multiply_row_major(other);
+            else if constexpr (StoreType == MatStoreType::COLUMN_MAJOR)
+                return avx_multiply_col_major(other);
+#else
+            if constexpr (StoreType == MatStoreType::ROW_MAJOR)
+                return cache_friendly_multiply_row_major(other);
+            else if constexpr (StoreType == MatStoreType::COLUMN_MAJOR)
+                return cache_friendly_multiply_col_major(other);
+#endif
+            else
+                std::unreachable();
         }
 
         constexpr Mat& operator*=(const Type& f) noexcept
@@ -321,6 +328,21 @@ namespace omath
             return oss.str();
         }
 
+        [[nodiscard]]
+        std::wstring to_wstring() const noexcept
+        {
+            const auto ascii_string = to_string();
+            return {ascii_string.cbegin(), ascii_string.cend()};
+        }
+
+        [[nodiscard]]
+        // ReSharper disable once CppInconsistentNaming
+        std::u8string to_u8string() const noexcept
+        {
+            const auto ascii_string = to_string();
+            return {ascii_string.cbegin(), ascii_string.cend()};
+        }
+
         [[nodiscard]]
         bool operator==(const Mat& mat) const
         {
@@ -367,6 +389,176 @@ namespace omath
 
     private:
         std::array<Type, Rows * Columns> m_data;
+
+        template<size_t OtherColumns> [[nodiscard]]
+        constexpr Mat<Rows, OtherColumns, Type, MatStoreType::ROW_MAJOR>
+        cache_friendly_multiply_row_major(const Mat<Columns, OtherColumns, Type, MatStoreType::ROW_MAJOR>& other) const
+        {
+            Mat<Rows, OtherColumns, Type, MatStoreType::ROW_MAJOR> result;
+            for (std::size_t row_index = 0; row_index < Rows; ++row_index)
+                for (std::size_t column_index = 0; column_index < Columns; ++column_index)
+                {
+                    const Type& current_number = at(row_index, column_index);
+                    for (std::size_t other_column = 0; other_column < OtherColumns; ++other_column)
+                        result.at(row_index, other_column) += current_number * other.at(column_index, other_column);
+                }
+            return result;
+        }
+
+        template<size_t OtherColumns> [[nodiscard]]
+        constexpr Mat<Rows, OtherColumns, Type, MatStoreType::COLUMN_MAJOR> cache_friendly_multiply_col_major(
+                const Mat<Columns, OtherColumns, Type, MatStoreType::COLUMN_MAJOR>& other) const
+        {
+            Mat<Rows, OtherColumns, Type, MatStoreType::COLUMN_MAJOR> result;
+            for (std::size_t other_column = 0; other_column < OtherColumns; ++other_column)
+                for (std::size_t column_index = 0; column_index < Columns; ++column_index)
+                {
+                    const Type& current_number = other.at(column_index, other_column);
+                    for (std::size_t row_index = 0; row_index < Rows; ++row_index)
+                        result.at(row_index, other_column) += at(row_index, column_index) * current_number;
+                }
+            return result;
+        }
+#ifdef OMATH_USE_AVX2
+        template<size_t OtherColumns> [[nodiscard]]
+        constexpr Mat<Rows, OtherColumns, Type, MatStoreType::COLUMN_MAJOR>
+        avx_multiply_col_major(const Mat<Columns, OtherColumns, Type, MatStoreType::COLUMN_MAJOR>& other) const
+        {
+            Mat<Rows, OtherColumns, Type, MatStoreType::COLUMN_MAJOR> result;
+
+            const Type* this_mat_data = this->raw_array().data();
+            const Type* other_mat_data = other.raw_array().data();
+            Type* result_mat_data = result.raw_array().data();
+
+            if constexpr (std::is_same_v<Type, float>)
+            {
+                // ReSharper disable once CppTooWideScopeInitStatement
+                constexpr std::size_t vector_size = 8;
+                for (std::size_t j = 0; j < OtherColumns; ++j)
+                {
+                    auto* c_col = reinterpret_cast<float*>(result_mat_data + j * Rows);
+                    for (std::size_t k = 0; k < Columns; ++k)
+                    {
+                        const float bkj = reinterpret_cast<const float*>(other_mat_data)[k + j * Columns];
+                        const __m256 bkj_vec = _mm256_set1_ps(bkj);
+
+                        const auto* a_col_k = reinterpret_cast<const float*>(this_mat_data + k * Rows);
+
+                        std::size_t i = 0;
+                        for (; i + vector_size <= Rows; i += vector_size)
+                        {
+                            __m256 cvec = _mm256_loadu_ps(c_col + i);
+                            const __m256 a_vec = _mm256_loadu_ps(a_col_k + i);
+                            cvec = _mm256_fmadd_ps(a_vec, bkj_vec, cvec);
+                            _mm256_storeu_ps(c_col + i, cvec);
+                        }
+                        for (; i < Rows; ++i)
+                            c_col[i] += a_col_k[i] * bkj;
+                    }
+                }
+            }
+            else if (std::is_same_v<Type, double>)
+            { // double
+                // ReSharper disable once CppTooWideScopeInitStatement
+                constexpr std::size_t vector_size = 4;
+                for (std::size_t j = 0; j < OtherColumns; ++j)
+                {
+                    auto* c_col = reinterpret_cast<double*>(result_mat_data + j * Rows);
+                    for (std::size_t k = 0; k < Columns; ++k)
+                    {
+                        const double bkj = reinterpret_cast<const double*>(other_mat_data)[k + j * Columns];
+                        const __m256d bkj_vec = _mm256_set1_pd(bkj);
+
+                        const auto* a_col_k = reinterpret_cast<const double*>(this_mat_data + k * Rows);
+
+                        std::size_t i = 0;
+                        for (; i + vector_size <= Rows; i += vector_size)
+                        {
+                            __m256d cvec = _mm256_loadu_pd(c_col + i);
+                            const __m256d a_vec = _mm256_loadu_pd(a_col_k + i);
+                            cvec = _mm256_fmadd_pd(a_vec, bkj_vec, cvec);
+                            _mm256_storeu_pd(c_col + i, cvec);
+                        }
+                        for (; i < Rows; ++i)
+                            c_col[i] += a_col_k[i] * bkj;
+                    }
+                }
+            }
+            else
+                std::unreachable();
+
+            return result;
+        }
+
+        template<size_t OtherColumns> [[nodiscard]]
+        constexpr Mat<Rows, OtherColumns, Type, MatStoreType::ROW_MAJOR>
+        avx_multiply_row_major(const Mat<Columns, OtherColumns, Type, MatStoreType::ROW_MAJOR>& other) const
+        {
+            Mat<Rows, OtherColumns, Type, MatStoreType::ROW_MAJOR> result;
+
+            const Type* this_mat_data = this->raw_array().data();
+            const Type* other_mat_data = other.raw_array().data();
+            Type* result_mat_data = result.raw_array().data();
+
+            if constexpr (std::is_same_v<Type, float>)
+            {
+                // ReSharper disable once CppTooWideScopeInitStatement
+                constexpr std::size_t vector_size = 8;
+                for (std::size_t i = 0; i < Rows; ++i)
+                {
+                    Type* c_row = result_mat_data + i * OtherColumns;
+                    for (std::size_t k = 0; k < Columns; ++k)
+                    {
+                        const auto aik = static_cast<float>(this_mat_data[i * Columns + k]);
+                        const __m256 aik_vec = _mm256_set1_ps(aik);
+                        const auto* b_row = reinterpret_cast<const float*>(other_mat_data + k * OtherColumns);
+
+                        std::size_t j = 0;
+                        for (; j + vector_size <= OtherColumns; j += vector_size)
+                        {
+                            __m256 cvec = _mm256_loadu_ps(c_row + j);
+                            const __m256 b_vec = _mm256_loadu_ps(b_row + j);
+                            cvec = _mm256_fmadd_ps(b_vec, aik_vec, cvec);
+
+                            _mm256_storeu_ps(c_row + j, cvec);
+                        }
+                        for (; j < OtherColumns; ++j)
+                            c_row[j] += aik * b_row[j];
+                    }
+                }
+            }
+            else if (std::is_same_v<Type, double>)
+            { // double
+                // ReSharper disable once CppTooWideScopeInitStatement
+                constexpr std::size_t vector_size = 4;
+                for (std::size_t i = 0; i < Rows; ++i)
+                {
+                    Type* c_row = result_mat_data + i * OtherColumns;
+                    for (std::size_t k = 0; k < Columns; ++k)
+                    {
+                        const auto aik = static_cast<double>(this_mat_data[i * Columns + k]);
+                        const __m256d aik_vec = _mm256_set1_pd(aik);
+                        const auto* b_row = reinterpret_cast<const double*>(other_mat_data + k * OtherColumns);
+
+                        std::size_t j = 0;
+                        for (; j + vector_size <= OtherColumns; j += vector_size)
+                        {
+                            __m256d cvec = _mm256_loadu_pd(c_row + j);
+                            const __m256d b_vec = _mm256_loadu_pd(b_row + j);
+                            cvec = _mm256_fmadd_pd(b_vec, aik_vec, cvec);
+
+                            _mm256_storeu_pd(c_row + j, cvec);
+                        }
+                        for (; j < OtherColumns; ++j)
+                            c_row[j] += aik * b_row[j];
+                    }
+                }
+            }
+            else
+                std::unreachable();
+            return result;
+        }
+#endif
     };
 
     template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR> [[nodiscard]]
@@ -500,6 +692,23 @@ namespace omath
                 { 0.f,      0.f,       0.f,                                  1.f                             }
         };
     }
+    template<class T = float, MatStoreType St = MatStoreType::COLUMN_MAJOR>
+   Mat<4, 4, T, St> mat_look_at_left_handed(const Vector3<T>& eye, const Vector3<T>& center, const Vector3<T>& up)
+    {
+        const Vector3<T> f = (center - eye).normalized();
+        const Vector3<T> s = f.cross(up).normalized();
+        const Vector3<T> u = s.cross(f);
+        return mat_camera_view<T, St>(f, s, u, eye);
+    }
+
+    template<class T = float, MatStoreType St = MatStoreType::COLUMN_MAJOR>
+    Mat<4, 4, T, St>mat_look_at_right_handed(const Vector3<T>& eye, const Vector3<T>& center, const Vector3<T>& up)
+    {
+        const Vector3<T> f = (center - eye).normalized();
+        const Vector3<T> s = f.cross(up).normalized();
+        const Vector3<T> u = s.cross(f);
+        return mat_camera_view<T, St>(-f, s, u, eye);
+    }
 
 } // namespace omath
 
@@ -512,9 +721,18 @@ struct std::formatter<omath::Mat<Rows, Columns, Type, StoreType>> // NOLINT(*-dc
     {
         return ctx.begin();
     }
+
+    template<class FormatContext>
     [[nodiscard]]
-    static auto format(const MatType& mat, std::format_context& ctx)
+    static auto format(const MatType& mat, FormatContext& ctx)
     {
-        return std::format_to(ctx.out(), "{}", mat.to_string());
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char>)
+            return std::format_to(ctx.out(), "{}", mat.to_string());
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, wchar_t>)
+            return std::format_to(ctx.out(), L"{}", mat.to_wstring());
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char8_t>)
+            return std::format_to(ctx.out(), u8"{}", mat.to_u8string());
     }
 };

include/omath/linear_algebra/vector2.hpp

@@ -242,9 +242,18 @@ struct std::formatter<omath::Vector2<Type>> // NOLINT(*-dcl58-cpp)
     {
         return ctx.begin();
     }
+
+    template<class FormatContext>
     [[nodiscard]]
-    static auto format(const omath::Vector2<Type>& vec, std::format_context& ctx)
+    static auto format(const omath::Vector2<Type>& vec, FormatContext& ctx)
     {
-        return std::format_to(ctx.out(), "[{}, {}]", vec.x, vec.y);
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char>)
+            return std::format_to(ctx.out(), "[{}, {}]", vec.x, vec.y);
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, wchar_t>)
+            return std::format_to(ctx.out(), L"[{}, {}]", vec.x, vec.y);
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char8_t>)
+            return std::format_to(ctx.out(), u8"[{}, {}]", vec.x, vec.y);
     }
 };

include/omath/linear_algebra/vector3.hpp

@@ -303,9 +303,18 @@ struct std::formatter<omath::Vector3<Type>> // NOLINT(*-dcl58-cpp)
     {
         return ctx.begin();
     }
+
+    template<class FormatContext>
     [[nodiscard]]
-    static auto format(const omath::Vector3<Type>& vec, std::format_context& ctx)
+    static auto format(const omath::Vector3<Type>& vec, FormatContext& ctx)
     {
-        return std::format_to(ctx.out(), "[{}, {}, {}]", vec.x, vec.y, vec.z);
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char>)
+            return std::format_to(ctx.out(), "[{}, {}, {}]", vec.x, vec.y, vec.z);
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, wchar_t>)
+            return std::format_to(ctx.out(), L"[{}, {}, {}]", vec.x, vec.y, vec.z);
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char8_t>)
+            return std::format_to(ctx.out(), u8"[{}, {}, {}]", vec.x, vec.y, vec.z);
     }
 };

include/omath/linear_algebra/vector4.hpp

@@ -210,9 +210,17 @@ struct std::formatter<omath::Vector4<Type>> // NOLINT(*-dcl58-cpp)
     {
         return ctx.begin();
     }
+    template<class FormatContext>
     [[nodiscard]]
-    static auto format(const omath::Vector4<Type>& vec, std::format_context& ctx)
+    static auto format(const omath::Vector4<Type>& vec, FormatContext& ctx)
     {
-        return std::format_to(ctx.out(), "[{}, {}, {}, {}]", vec.x, vec.y, vec.z, vec.w);
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char>)
+            return std::format_to(ctx.out(), "[{}, {}, {}, {}]", vec.x, vec.y, vec.z, vec.w);
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, wchar_t>)
+            return std::format_to(ctx.out(), L"[{}, {}, {}, {}]", vec.x, vec.y, vec.z, vec.w);
+
+        if constexpr (std::is_same_v<typename FormatContext::char_type, char8_t>)
+            return std::format_to(ctx.out(), u8"[{}, {}, {}, {}]", vec.x, vec.y, vec.z, vec.w);
     }
 };

include/omath/omath.hpp

@@ -15,7 +15,6 @@
 #include "omath/linear_algebra/vector3.hpp"
 
 // Matrix classes
-#include "linear_algebra/matrix.hpp"
 #include "omath/linear_algebra/mat.hpp"
 
 // Color functionality
@@ -27,6 +26,7 @@
 
 // 3D primitives
 #include "omath/3d_primitives/box.hpp"
+#include "omath/3d_primitives/plane.hpp"
 
 // Collision detection
 #include "omath/collision/line_tracer.hpp"
@@ -81,4 +81,4 @@
 #include "omath/engines/unreal_engine/formulas.hpp"
 #include "omath/engines/unreal_engine/camera.hpp"
 #include "omath/engines/unreal_engine/traits/camera_trait.hpp"
-#include "omath/engines/unreal_engine/traits/pred_engine_trait.hpp"
+#include "omath/engines/unreal_engine/traits/pred_engine_trait.hpp"

include/omath/projectile_prediction/proj_pred_engine_legacy.hpp

@@ -4,8 +4,8 @@
 
 #pragma once
 
-#include "omath/linear_algebra/vector3.hpp"
 #include "omath/engines/source_engine/traits/pred_engine_trait.hpp"
+#include "omath/linear_algebra/vector3.hpp"
 #include "omath/projectile_prediction/proj_pred_engine.hpp"
 #include "omath/projectile_prediction/projectile.hpp"
 #include "omath/projectile_prediction/target.hpp"
@@ -20,7 +20,9 @@ namespace omath::projectile_prediction
                      Vector3<float> v3, // by-value for calc_viewpoint_from_angles
                      float pitch, float yaw, float time, float gravity, std::optional<float> maybe_pitch) {
                 // Presence + return types
-                { T::predict_projectile_position(projectile, pitch, yaw, time, gravity) } -> std::same_as<Vector3<float>>;
+                {
+                    T::predict_projectile_position(projectile, pitch, yaw, time, gravity)
+                } -> std::same_as<Vector3<float>>;
                 { T::predict_target_position(target, time, gravity) } -> std::same_as<Vector3<float>>;
                 { T::calc_vector_2d_distance(vec_a) } -> std::same_as<float>;
                 { T::get_vector_height_coordinate(vec_b) } -> std::same_as<float>;

include/omath/projection/camera.hpp

@@ -62,12 +62,13 @@ namespace omath::projection
         {
         }
 
-    protected:
         void look_at(const Vector3<float>& target)
         {
             m_view_angles = TraitClass::calc_look_at_angle(m_origin, target);
+            m_view_projection_matrix = std::nullopt;
         }
 
+    protected:
         [[nodiscard]] Mat4X4Type calc_view_projection_matrix() const noexcept
         {
             return TraitClass::calc_projection_matrix(m_field_of_view, m_view_port, m_near_plane_distance,

source/engines/iw_engine/traits/camera_trait.cpp

@@ -8,11 +8,10 @@ namespace omath::iw_engine
 
     ViewAngles CameraTrait::calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept
     {
-        const auto distance = cam_origin.distance_to(look_at);
-        const auto delta = cam_origin - look_at;
+        const auto direction = (look_at - cam_origin).normalized();
 
-        return {PitchAngle::from_radians(-std::asin(delta.z / distance)),
-                YawAngle::from_radians(std::atan2(delta.y, delta.x)), RollAngle::from_radians(0.f)};
+        return {PitchAngle::from_radians(-std::asin(direction.z)),
+                YawAngle::from_radians(std::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
     }
     Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
     {

source/engines/opengl_engine/formulas.cpp

@@ -28,14 +28,13 @@ namespace omath::opengl_engine
     }
     Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
     {
-        return mat_camera_view<float, MatStoreType::COLUMN_MAJOR>(-forward_vector(angles), right_vector(angles),
-                                                                  up_vector(angles), cam_origin);
+        return mat_look_at_right_handed(cam_origin, cam_origin+forward_vector(angles), up_vector(angles));
     }
     Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
     {
-        return mat_rotation_axis_x<float, MatStoreType::COLUMN_MAJOR>(-angles.pitch)
-               * mat_rotation_axis_y<float, MatStoreType::COLUMN_MAJOR>(-angles.yaw)
-               * mat_rotation_axis_z<float, MatStoreType::COLUMN_MAJOR>(angles.roll);
+        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);
     }
     Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
                                               const float far) noexcept

source/engines/opengl_engine/traits/camera_trait.cpp

@@ -9,11 +9,10 @@ namespace omath::opengl_engine
 
     ViewAngles CameraTrait::calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept
     {
-        const auto distance = cam_origin.distance_to(look_at);
-        const auto delta = cam_origin - look_at;
+        const auto direction = (look_at - cam_origin).normalized();
 
-        return {PitchAngle::from_radians(-std::asin(delta.y / distance)),
-                YawAngle::from_radians(std::atan2(delta.z, delta.x)), RollAngle::from_radians(0.f)};
+        return {PitchAngle::from_radians(std::asin(direction.y)),
+                YawAngle::from_radians(-std::atan2(direction.x, -direction.z)), RollAngle::from_radians(0.f)};
     }
     Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
     {

source/engines/source_engine/traits/camera_trait.cpp

@@ -8,11 +8,11 @@ namespace omath::source_engine
 
     ViewAngles CameraTrait::calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept
     {
-        const auto distance = cam_origin.distance_to(look_at);
-        const auto delta = cam_origin - look_at;
+        const auto direction = (look_at - cam_origin).normalized();
 
-        return {PitchAngle::from_radians(-std::asin(delta.z / distance)),
-                YawAngle::from_radians(std::atan2(delta.y, delta.x)), RollAngle::from_radians(0.f)};
+
+        return {PitchAngle::from_radians(-std::asin(direction.z)),
+                YawAngle::from_radians(std::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
     }
     Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
     {

source/engines/unity_engine/formulas.cpp

@@ -30,9 +30,9 @@ namespace omath::unity_engine
     }
     Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
     {
-        return mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch)
+        return mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.roll)
                * mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(angles.yaw)
-               * mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.roll);
+               * mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch);
     }
     Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
                                               const float far) noexcept

source/engines/unity_engine/traits/camera_trait.cpp

@@ -8,11 +8,10 @@ namespace omath::unity_engine
 
     ViewAngles CameraTrait::calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept
     {
-        const auto distance = cam_origin.distance_to(look_at);
-        const auto delta = cam_origin - look_at;
+        const auto direction = (look_at - cam_origin).normalized();
 
-        return {PitchAngle::from_radians(-std::asin(delta.y / distance)),
-                YawAngle::from_radians(std::atan2(delta.z, delta.x)), RollAngle::from_radians(0.f)};
+        return {PitchAngle::from_radians(-std::asin(direction.y)),
+                YawAngle::from_radians(std::atan2(direction.x, direction.z)), RollAngle::from_radians(0.f)};
     }
     Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
     {

source/engines/unreal_engine/formulas.cpp

@@ -31,8 +31,8 @@ namespace omath::unreal_engine
     Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
     {
         return mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.roll)
-               * mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(angles.pitch)
-               * mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.yaw);
+               * mat_rotation_axis_z<float, MatStoreType::ROW_MAJOR>(angles.yaw)
+               * mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(angles.pitch);
     }
     Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
                                               const float far) noexcept

source/engines/unreal_engine/traits/camera_trait.cpp

@@ -8,11 +8,10 @@ namespace omath::unreal_engine
 
     ViewAngles CameraTrait::calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept
     {
-        const auto distance = cam_origin.distance_to(look_at);
-        const auto delta = cam_origin - look_at;
+        const auto direction = (look_at - cam_origin).normalized();
 
-        return {PitchAngle::from_radians(-std::asin(delta.z / distance)),
-                YawAngle::from_radians(std::atan2(delta.x, delta.y)), RollAngle::from_radians(0.f)};
+        return {PitchAngle::from_radians(-std::asin(direction.z)),
+                YawAngle::from_radians(std::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
     }
     Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
     {

tests/CMakeLists.txt

@@ -7,12 +7,10 @@ include(GoogleTest)
 file(GLOB_RECURSE UNIT_TESTS_SOURCES CONFIGURE_DEPENDS "${CMAKE_CURRENT_SOURCE_DIR}/*.cpp")
 add_executable(${PROJECT_NAME} ${UNIT_TESTS_SOURCES})
 
-set_target_properties(unit_tests PROPERTIES
+set_target_properties(${PROJECT_NAME} PROPERTIES
         ARCHIVE_OUTPUT_DIRECTORY "${CMAKE_SOURCE_DIR}/out/${CMAKE_BUILD_TYPE}"
         LIBRARY_OUTPUT_DIRECTORY "${CMAKE_SOURCE_DIR}/out/${CMAKE_BUILD_TYPE}"
         RUNTIME_OUTPUT_DIRECTORY "${CMAKE_SOURCE_DIR}/out/${CMAKE_BUILD_TYPE}"
-        UNITY_BUILD ON
-        UNITY_BUILD_BATCH_SIZE 20
         CXX_STANDARD 23
         CXX_STANDARD_REQUIRED ON)
 

tests/engines/unit_test_iw_engine.cpp

@@ -5,7 +5,7 @@
 #include <omath/engines/iw_engine/camera.hpp>
 #include <omath/engines/iw_engine/constants.hpp>
 #include <omath/engines/iw_engine/formulas.hpp>
-
+#include <random>
 
 TEST(unit_test_iw_engine, ForwardVector)
 {
@@ -68,7 +68,6 @@ TEST(unit_test_iw_engine, ProjectTargetMovedFromCamera)
     constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
     const auto cam = omath::iw_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
 
-
     for (float distance = 0.02f; distance < 1000.f; distance += 0.01f)
     {
         const auto projected = cam.world_to_screen({distance, 0, 0});
@@ -102,4 +101,126 @@ TEST(unit_test_iw_engine, CameraSetAndGetOrigin)
     cam.set_field_of_view(omath::projection::FieldOfView::from_degrees(50.f));
 
     EXPECT_EQ(cam.get_field_of_view().as_degrees(), 50.f);
+}
+
+TEST(unit_test_iw_engine, loook_at_random_all_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::iw_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.001f || std::abs(projected_pos->y - 0.f) >= 0.001f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_iw_engine, loook_at_random_x_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::iw_engine::Camera({dist(gen), dist(gen), dist(gen)}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), 0.f, 0.f};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_iw_engine, loook_at_random_y_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::iw_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, dist(gen), 0.f};
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_iw_engine, loook_at_random_z_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::iw_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, 0.f, dist(gen)};
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.025f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
 }

tests/engines/unit_test_open_gl.cpp

@@ -5,7 +5,7 @@
 #include <omath/engines/opengl_engine/camera.hpp>
 #include <omath/engines/opengl_engine/constants.hpp>
 #include <omath/engines/opengl_engine/formulas.hpp>
-
+#include <random>
 
 TEST(unit_test_opengl, ForwardVector)
 {
@@ -29,7 +29,7 @@ TEST(unit_test_opengl, ForwardVectorRotationYaw)
 {
     omath::opengl_engine::ViewAngles angles;
 
-    angles.yaw = omath::opengl_engine::YawAngle::from_degrees(90.f);
+    angles.yaw = omath::opengl_engine::YawAngle::from_degrees(-90.f);
 
     const auto forward = omath::opengl_engine::forward_vector(angles);
     EXPECT_NEAR(forward.x, omath::opengl_engine::k_abs_right.x, 0.00001f);
@@ -37,13 +37,11 @@ TEST(unit_test_opengl, ForwardVectorRotationYaw)
     EXPECT_NEAR(forward.z, omath::opengl_engine::k_abs_right.z, 0.00001f);
 }
 
-
-
 TEST(unit_test_opengl, ForwardVectorRotationPitch)
 {
     omath::opengl_engine::ViewAngles angles;
 
-    angles.pitch = omath::opengl_engine::PitchAngle::from_degrees(-90.f);
+    angles.pitch = omath::opengl_engine::PitchAngle::from_degrees(90.f);
 
     const auto forward = omath::opengl_engine::forward_vector(angles);
     EXPECT_NEAR(forward.x, omath::opengl_engine::k_abs_up.x, 0.00001f);
@@ -68,7 +66,6 @@ TEST(unit_test_opengl, ProjectTargetMovedFromCamera)
     constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
     const auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
 
-
     for (float distance = -10.f; distance > -1000.f; distance -= 0.01f)
     {
         const auto projected = cam.world_to_screen({0, 0, distance});
@@ -102,4 +99,123 @@ TEST(unit_test_opengl, CameraSetAndGetOrigin)
     cam.set_field_of_view(omath::projection::FieldOfView::from_degrees(50.f));
 
     EXPECT_EQ(cam.get_field_of_view().as_degrees(), 50.f);
+}
+TEST(unit_test_opengl_engine, loook_at_random_all_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.0001f || std::abs(projected_pos->y - 0.f) >= 0.0001f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_opengl_engine, loook_at_random_x_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), 0.f, 0.f};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_opengl_engine, loook_at_random_y_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, dist(gen), 0.f};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_opengl_engine, loook_at_random_z_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, 0.f, dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
 }

tests/engines/unit_test_source_engine.cpp

@@ -5,7 +5,7 @@
 #include <omath/engines/source_engine/camera.hpp>
 #include <omath/engines/source_engine/constants.hpp>
 #include <omath/engines/source_engine/formulas.hpp>
-
+#include <random>
 
 TEST(unit_test_source_engine, ForwardVector)
 {
@@ -68,7 +68,6 @@ TEST(unit_test_source_engine, ProjectTargetMovedFromCamera)
     constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
     const auto cam = omath::source_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
 
-
     for (float distance = 0.02f; distance < 1000.f; distance += 0.01f)
     {
         const auto projected = cam.world_to_screen({distance, 0, 0});
@@ -122,4 +121,125 @@ TEST(unit_test_source_engine, CameraSetAndGetOrigin)
     cam.set_field_of_view(omath::projection::FieldOfView::from_degrees(50.f));
 
     EXPECT_EQ(cam.get_field_of_view().as_degrees(), 50.f);
+}
+
+TEST(unit_test_source_engine, loook_at_random_all_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::source_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.0001f || std::abs(projected_pos->y - 0.f) >= 0.0001f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_source_engine, loook_at_random_x_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::source_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), 0.f, 0.f};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_source_engine, loook_at_random_y_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::source_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, dist(gen), 0.f};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_source_engine, loook_at_random_z_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::source_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, 0.f, dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.025f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
 }

tests/engines/unit_test_unity_engine.cpp

@@ -6,6 +6,7 @@
 #include <omath/engines/unity_engine/constants.hpp>
 #include <omath/engines/unity_engine/formulas.hpp>
 #include <print>
+#include <random>
 
 TEST(unit_test_unity_engine, ForwardVector)
 {
@@ -68,7 +69,6 @@ TEST(unit_test_unity_engine, ProjectTargetMovedFromCamera)
     constexpr auto fov = omath::projection::FieldOfView::from_degrees(60.f);
     const auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1280.f, 720.f}, fov, 0.01f, 1000.f);
 
-
     for (float distance = 0.02f; distance < 100.f; distance += 0.01f)
     {
         const auto projected = cam.world_to_screen({0, 0, distance});
@@ -112,4 +112,125 @@ TEST(unit_test_unity_engine, CameraSetAndGetOrigin)
     cam.set_field_of_view(omath::projection::FieldOfView::from_degrees(50.f));
 
     EXPECT_EQ(cam.get_field_of_view().as_degrees(), 50.f);
+}
+TEST(unit_test_unity_engine, loook_at_random_all_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.0001f || std::abs(projected_pos->y - 0.f) >= 0.0001f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_unity_engine, loook_at_random_x_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), 0.f, 0.f};
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.001f || std::abs(projected_pos->y - 0.f) >= 0.001f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_unity_engine, loook_at_random_y_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, dist(gen), 0.f};
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_unity_engine, loook_at_random_z_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, 0.f, dist(gen)};
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
 }

tests/engines/unit_test_unreal_engine.cpp

@@ -6,6 +6,7 @@
 #include <omath/engines/unreal_engine/constants.hpp>
 #include <omath/engines/unreal_engine/formulas.hpp>
 #include <print>
+#include <random>
 
 TEST(unit_test_unreal_engine, ForwardVector)
 {
@@ -68,7 +69,6 @@ TEST(unit_test_unreal_engine, ProjectTargetMovedFromCamera)
     constexpr auto fov = omath::projection::FieldOfView::from_degrees(60.f);
     const auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1280.f, 720.f}, fov, 0.01f, 1000.f);
 
-
     for (float distance = 0.02f; distance < 100.f; distance += 0.01f)
     {
         const auto projected = cam.world_to_screen({distance, 0, 0});
@@ -102,4 +102,128 @@ TEST(unit_test_unreal_engine, CameraSetAndGetOrigin)
     cam.set_field_of_view(omath::projection::FieldOfView::from_degrees(50.f));
 
     EXPECT_EQ(cam.get_field_of_view().as_degrees(), 50.f);
+}
+
+TEST(unit_test_unreal_engine, loook_at_random_all_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 100; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.0001f || std::abs(projected_pos->y - 0.f) >= 0.0001f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_unreal_engine, loook_at_random_x_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{dist(gen), dist(gen), dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_unreal_engine, loook_at_random_y_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, dist(gen), 0.f};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
+}
+
+TEST(unit_test_unreal_engine, loook_at_random_z_axis)
+{
+    std::mt19937 gen(std::random_device{}()); // Seed with a non-deterministic source
+    std::uniform_real_distribution<float> dist(-1000.f, 1000.f);
+
+    constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
+    auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.001f, 10000.f);
+
+    std::size_t failed_points = 0;
+    for (int i = 0; i < 1000; i++)
+    {
+        const auto position_to_look = omath::Vector3<float>{0.f, 0.f, dist(gen)};
+
+        if (cam.get_origin().distance_to(position_to_look) < 10)
+            continue;
+
+        cam.look_at(position_to_look);
+
+        auto projected_pos = cam.world_to_view_port(position_to_look);
+
+        EXPECT_TRUE(projected_pos.has_value());
+
+        if (!projected_pos)
+            continue;
+
+        if (std::abs(projected_pos->x - 0.f) >= 0.01f || std::abs(projected_pos->y - 0.f) >= 0.01f)
+            failed_points++;
+    }
+    EXPECT_LE(failed_points, 100);
 }