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Merge pull request #55 from orange-cpp/feature/unreal-support

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Adds Unreal Engine math library
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Orange++
2025-08-25 21:49:11 +03:00
committed by GitHub
parent 1246c4ed07 2584cda5c3
commit d83a8121db
12 changed files with 362 additions and 8 deletions
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| Source | ✅YES |
| Unity | ✅YES |
| IWEngine | ✅YES |
| Unreal | ❌NO |
| OpenGL | ✅YES |
| Unreal | ✅YES |
## Supported Operating Systems

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include/omath/engines/unreal_engine/camera.hpp Normal file
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//
// Created by Vlad on 3/22/2025.
//
#pragma once
#include "omath/engines/unreal_engine/constants.hpp"
#include "omath/projection/camera.hpp"
#include "traits/camera_trait.hpp"
namespace omath::unreal_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait>;
} // namespace omath::unreal_engine

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include/omath/engines/unreal_engine/constants.hpp Normal file
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//
// Created by Vlad on 3/22/2025.
//
#pragma once
#include <omath/angle.hpp>
#include <omath/mat.hpp>
#include <omath/vector3.hpp>
#include <omath/view_angles.hpp>
namespace omath::unreal_engine
{
constexpr Vector3<float> k_abs_up = {0, 0, 1};
constexpr Vector3<float> k_abs_right = {0, 1, 0};
constexpr Vector3<float> k_abs_forward = {1, 0, 0};
using Mat4X4 = Mat<4, 4, float, MatStoreType::ROW_MAJOR>;
using Mat3X3 = Mat<4, 4, float, MatStoreType::ROW_MAJOR>;
using Mat1X3 = Mat<1, 3, float, MatStoreType::ROW_MAJOR>;
using PitchAngle = Angle<float, -90.f, 90.f, AngleFlags::Clamped>;
using YawAngle = Angle<float, -180.f, 180.f, AngleFlags::Normalized>;
using RollAngle = Angle<float, -180.f, 180.f, AngleFlags::Normalized>;
using ViewAngles = omath::ViewAngles<PitchAngle, YawAngle, RollAngle>;
} // namespace omath::unreal_engine

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include/omath/engines/unreal_engine/formulas.hpp Normal file
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//
// Created by Vlad on 3/22/2025.
//
#pragma once
#include "omath/engines/unreal_engine/constants.hpp"
namespace omath::unreal_engine
{
[[nodiscard]]
Vector3<float> forward_vector(const ViewAngles& angles) noexcept;
[[nodiscard]]
Vector3<float> right_vector(const ViewAngles& angles) noexcept;
[[nodiscard]]
Vector3<float> up_vector(const ViewAngles& angles) noexcept;
[[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
} // namespace omath::unreal_engine

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include/omath/engines/unreal_engine/traits/camera_trait.hpp Normal file
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//
// Created by Vlad on 8/10/2025.
//
#pragma once
#include "omath/engines/unreal_engine/formulas.hpp"
#include "omath/projection/camera.hpp"
namespace omath::unreal_engine
{
class CameraTrait final
{
public:
[[nodiscard]]
static ViewAngles calc_look_at_angle(const Vector3<float>& cam_origin, const Vector3<float>& look_at) noexcept;
[[nodiscard]]
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
};
} // namespace omath::unreal_engine

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include/omath/engines/unreal_engine/traits/pred_engine_trait.hpp Normal file
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//
// Created by Vlad on 8/6/2025.
//
#pragma once
#include "omath/engines/unreal_engine/formulas.hpp"
#include "omath/projectile_prediction/projectile.hpp"
#include "omath/projectile_prediction/target.hpp"
#include <optional>
namespace omath::unreal_engine
{
class PredEngineTrait final
{
public:
constexpr static Vector3<float> predict_projectile_position(const projectile_prediction::Projectile& projectile,
const float pitch, const float yaw,
const float time, const float gravity) noexcept
{
auto current_pos = projectile.m_origin
+ forward_vector({PitchAngle::from_degrees(-pitch), YawAngle::from_degrees(yaw),
RollAngle::from_degrees(0)})
* projectile.m_launch_speed * time;
current_pos.y -= (gravity * projectile.m_gravity_scale) * (time * time) * 0.5f;
return current_pos;
}
[[nodiscard]]
static constexpr Vector3<float> predict_target_position(const projectile_prediction::Target& target,
const float time, const float gravity) noexcept
{
auto predicted = target.m_origin + target.m_velocity * time;
if (target.m_is_airborne)
predicted.y -= gravity * (time * time) * 0.5f;
return predicted;
}
[[nodiscard]]
static float calc_vector_2d_distance(const Vector3<float>& delta) noexcept
{
return std::sqrt(delta.x * delta.x + delta.z * delta.z);
}
[[nodiscard]]
constexpr static float get_vector_height_coordinate(const Vector3<float>& vec) noexcept
{
return vec.y;
}
[[nodiscard]]
static Vector3<float> calc_viewpoint_from_angles(const projectile_prediction::Projectile& projectile,
Vector3<float> predicted_target_position,
const std::optional<float> projectile_pitch) noexcept
{
const auto delta2d = calc_vector_2d_distance(predicted_target_position - projectile.m_origin);
const auto height = delta2d * std::tan(angles::degrees_to_radians(projectile_pitch.value()));
return {predicted_target_position.x, predicted_target_position.y, projectile.m_origin.z + height};
}
// Due to specification of maybe_calculate_projectile_launch_pitch_angle, pitch angle must be:
// 89 look up, -89 look down
[[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.z / distance));
}
[[nodiscard]]
static float calc_direct_yaw_angle(const Vector3<float>& origin, const Vector3<float>& view_to) noexcept
{
const auto delta = view_to - origin;
return angles::radians_to_degrees(std::atan2(delta.y, delta.x));
};
};
} // namespace omath::unreal_engine

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//
// Created by Vlad on 3/22/2025.
//
#include "omath/engines/unreal_engine/formulas.hpp"
namespace omath::unreal_engine
{
Vector3<float> forward_vector(const ViewAngles& angles) noexcept
{
const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_forward);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
Vector3<float> right_vector(const ViewAngles& angles) noexcept
{
const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_right);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
Vector3<float> up_vector(const ViewAngles& angles) noexcept
{
const auto vec = rotation_matrix(angles) * mat_column_from_vector(k_abs_up);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
{
return mat_camera_view<float, MatStoreType::ROW_MAJOR>(forward_vector(angles), -right_vector(angles),
up_vector(angles), cam_origin);
}
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
{
return mat_rotation_axis_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);
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
{
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f);
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, (far + near) / (far - near), -(2.f * far * near) / (far - near)},
{0, 0, -1.f, 0},
};
}
} // namespace omath::unreal_engine

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source/engines/unreal_engine/traits/camera_trait.cpp Normal file
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//
// Created by Vlad on 8/11/2025.
//
#include "omath/engines/unreal_engine/traits/camera_trait.hpp"
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;
return {PitchAngle::from_radians(-std::asin(delta.z / distance)),
YawAngle::from_radians(std::atan2(delta.x, delta.y)), RollAngle::from_radians(0.f)};
}
Mat4X4 CameraTrait::calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
{
return unreal_engine::calc_view_matrix(angles, cam_origin);
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
}
} // namespace omath::unreal_engine

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tests/engines/unit_test_unreal_engine.cpp Normal file
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//
// Created by Vlad on 8/25/2025.
//
//
// Created by Orange on 11/27/2024.
//
#include <gtest/gtest.h>
#include <omath/engines/unreal_engine/camera.hpp>
#include <omath/engines/unreal_engine/constants.hpp>
#include <omath/engines/unreal_engine/formulas.hpp>
#include <print>
TEST(unit_test_unreal_engine, ForwardVector)
{
const auto forward = omath::unreal_engine::forward_vector({});
EXPECT_EQ(forward, omath::unreal_engine::k_abs_forward);
}
TEST(unit_test_unreal_engine, ForwardVectorRotationYaw)
{
omath::unreal_engine::ViewAngles angles;
angles.yaw = omath::unreal_engine::YawAngle::from_degrees(90.f);
const auto forward = omath::unreal_engine::forward_vector(angles);
EXPECT_NEAR(forward.x, omath::unreal_engine::k_abs_right.x, 0.00001f);
EXPECT_NEAR(forward.y, omath::unreal_engine::k_abs_right.y, 0.00001f);
EXPECT_NEAR(forward.z, omath::unreal_engine::k_abs_right.z, 0.00001f);
}
TEST(unit_test_unreal_engine, ForwardVectorRotationPitch)
{
omath::unreal_engine::ViewAngles angles;
angles.pitch = omath::unreal_engine::PitchAngle::from_degrees(-90.f);
const auto forward = omath::unreal_engine::forward_vector(angles);
EXPECT_NEAR(forward.x, omath::unreal_engine::k_abs_up.x, 0.00001f);
EXPECT_NEAR(forward.y, omath::unreal_engine::k_abs_up.y, 0.00001f);
EXPECT_NEAR(forward.z, omath::unreal_engine::k_abs_up.z, 0.00001f);
}
TEST(unit_test_unreal_engine, ForwardVectorRotationRoll)
{
omath::unreal_engine::ViewAngles angles;
angles.roll = omath::unreal_engine::RollAngle::from_degrees(-90.f);
const auto forward = omath::unreal_engine::up_vector(angles);
EXPECT_NEAR(forward.x, omath::unreal_engine::k_abs_right.x, 0.00001f);
EXPECT_NEAR(forward.y, omath::unreal_engine::k_abs_right.y, 0.00001f);
EXPECT_NEAR(forward.z, omath::unreal_engine::k_abs_right.z, 0.00001f);
}
TEST(unit_test_unreal_engine, RightVector)
{
const auto right = omath::unreal_engine::right_vector({});
EXPECT_EQ(right, omath::unreal_engine::k_abs_right);
}
TEST(unit_test_unreal_engine, UpVector)
{
const auto up = omath::unreal_engine::up_vector({});
EXPECT_EQ(up, omath::unreal_engine::k_abs_up);
}
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});
EXPECT_TRUE(projected.has_value());
if (!projected.has_value())
continue;
EXPECT_NEAR(projected->x, 640, 0.00001f);
EXPECT_NEAR(projected->y, 360, 0.00001f);
}
}
TEST(unit_test_unreal_engine, CameraSetAndGetFov)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
EXPECT_EQ(cam.get_field_of_view().as_degrees(), 90.f);
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, CameraSetAndGetOrigin)
{
auto cam = omath::unreal_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, {}, 0.01f, 1000.f);
EXPECT_EQ(cam.get_origin(), omath::Vector3<float>{});
cam.set_field_of_view(omath::projection::FieldOfView::from_degrees(50.f));
EXPECT_EQ(cam.get_field_of_view().as_degrees(), 50.f);
}