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omath/include/omath/projection/camera.hpp
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orange 8aa2dca456 Improves screen to world conversion accuracy
Adds support for different screen origin configurations.

This change allows for more accurate conversion from screen coordinates to world coordinates by correctly handling different screen origin positions (top-left and bottom-left). Includes new unit tests to verify the functionality with both configurations.
2025-11-08 13:51:56 +03:00

310 lines
11 KiB
C++

//
// Created by Vlad on 27.08.2024.
//
#pragma once
#include "omath/linear_algebra/mat.hpp"
#include "omath/linear_algebra/vector3.hpp"
#include "omath/projection/error_codes.hpp"
#include <expected>
#include <omath/trigonometry/angle.hpp>
#include <type_traits>
#ifdef OMATH_BUILD_TESTS
// ReSharper disable CppInconsistentNaming
class UnitTestProjection_Projection_Test;
class UnitTestProjection_ScreenToNdcTopLeft_Test;
class UnitTestProjection_ScreenToNdcBottomLeft_Test;
// ReSharper restore CppInconsistentNaming
#endif
namespace omath::projection
{
class ViewPort final
{
public:
float m_width;
float m_height;
[[nodiscard]] constexpr float aspect_ratio() const
{
return m_width / m_height;
}
};
using FieldOfView = Angle<float, 0.f, 180.f, AngleFlags::Clamped>;
template<class T, class MatType, class ViewAnglesType>
concept CameraEngineConcept =
requires(const Vector3<float>& cam_origin, const Vector3<float>& look_at, const ViewAnglesType& angles,
const FieldOfView& fov, const ViewPort& viewport, float znear, float zfar) {
// Presence + return types
{ T::calc_look_at_angle(cam_origin, look_at) } -> std::same_as<ViewAnglesType>;
{ T::calc_view_matrix(angles, cam_origin) } -> std::same_as<MatType>;
{ T::calc_projection_matrix(fov, viewport, znear, zfar) } -> std::same_as<MatType>;
// Enforce noexcept as in the trait declaration
requires noexcept(T::calc_look_at_angle(cam_origin, look_at));
requires noexcept(T::calc_view_matrix(angles, cam_origin));
requires noexcept(T::calc_projection_matrix(fov, viewport, znear, zfar));
};
template<class Mat4X4Type, class ViewAnglesType, class TraitClass>
requires CameraEngineConcept<TraitClass, Mat4X4Type, ViewAnglesType>
class Camera final
{
#ifdef OMATH_BUILD_TESTS
friend UnitTestProjection_Projection_Test;
friend UnitTestProjection_ScreenToNdcTopLeft_Test;
friend UnitTestProjection_ScreenToNdcBottomLeft_Test;
#endif
public:
enum class ScreenStart
{
TOP_LEFT_CORNER,
BOTTOM_LEFT_CORNER,
};
~Camera() = default;
Camera(const Vector3<float>& position, const ViewAnglesType& view_angles, const ViewPort& view_port,
const FieldOfView& fov, const float near, const float far) noexcept
: m_view_port(view_port), m_field_of_view(fov), m_far_plane_distance(far), m_near_plane_distance(near),
m_view_angles(view_angles), m_origin(position)
{
}
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,
m_far_plane_distance)
* TraitClass::calc_view_matrix(m_view_angles, m_origin);
}
public:
[[nodiscard]] const Mat4X4Type& get_view_projection_matrix() const noexcept
{
if (!m_view_projection_matrix.has_value())
m_view_projection_matrix = calc_view_projection_matrix();
return m_view_projection_matrix.value();
}
void set_field_of_view(const FieldOfView& fov) noexcept
{
m_field_of_view = fov;
m_view_projection_matrix = std::nullopt;
}
void set_near_plane(const float near) noexcept
{
m_near_plane_distance = near;
m_view_projection_matrix = std::nullopt;
}
void set_far_plane(const float far) noexcept
{
m_far_plane_distance = far;
m_view_projection_matrix = std::nullopt;
}
void set_view_angles(const ViewAnglesType& view_angles) noexcept
{
m_view_angles = view_angles;
m_view_projection_matrix = std::nullopt;
}
void set_origin(const Vector3<float>& origin) noexcept
{
m_origin = origin;
m_view_projection_matrix = std::nullopt;
}
void set_view_port(const ViewPort& view_port) noexcept
{
m_view_port = view_port;
m_view_projection_matrix = std::nullopt;
}
[[nodiscard]] const FieldOfView& get_field_of_view() const noexcept
{
return m_field_of_view;
}
[[nodiscard]] const float& get_near_plane() const noexcept
{
return m_near_plane_distance;
}
[[nodiscard]] const float& get_far_plane() const noexcept
{
return m_far_plane_distance;
}
[[nodiscard]] const ViewAnglesType& get_view_angles() const noexcept
{
return m_view_angles;
}
[[nodiscard]] const Vector3<float>& get_origin() const noexcept
{
return m_origin;
}
template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
[[nodiscard]] std::expected<Vector3<float>, Error>
world_to_screen(const Vector3<float>& world_position) const noexcept
{
const auto normalized_cords = world_to_view_port(world_position);
if (!normalized_cords.has_value())
return std::unexpected{normalized_cords.error()};
if constexpr (screen_start == ScreenStart::TOP_LEFT_CORNER)
return ndc_to_screen_position_from_top_left_corner(*normalized_cords);
else if constexpr (screen_start == ScreenStart::BOTTOM_LEFT_CORNER)
return ndc_to_screen_position_from_bottom_left_corner(*normalized_cords);
else
std::unreachable();
}
[[nodiscard]] std::expected<Vector3<float>, Error>
world_to_view_port(const Vector3<float>& world_position) const noexcept
{
auto projected = get_view_projection_matrix()
* mat_column_from_vector<float, Mat4X4Type::get_store_ordering()>(world_position);
if (projected.at(3, 0) == 0.0f)
return std::unexpected(Error::WORLD_POSITION_IS_OUT_OF_SCREEN_BOUNDS);
projected /= projected.at(3, 0);
if (is_ndc_out_of_bounds(projected))
return std::unexpected(Error::WORLD_POSITION_IS_OUT_OF_SCREEN_BOUNDS);
return Vector3<float>{projected.at(0, 0), projected.at(1, 0), projected.at(2, 0)};
}
[[nodiscard]]
std::expected<Vector3<float>, Error> view_port_to_screen(const Vector3<float>& ndc) const noexcept
{
const auto inv_view_proj = get_view_projection_matrix().inverted();
if (!inv_view_proj)
return std::unexpected(Error::INV_VIEW_PROJ_MAT_DET_EQ_ZERO);
auto inverted_projection =
inv_view_proj.value() * mat_column_from_vector<float, Mat4X4Type::get_store_ordering()>(ndc);
if (!inverted_projection.at(3, 0))
return std::unexpected(Error::WORLD_POSITION_IS_OUT_OF_SCREEN_BOUNDS);
inverted_projection /= inverted_projection.at(3, 0);
return Vector3<float>{inverted_projection.at(0, 0), inverted_projection.at(1, 0),
inverted_projection.at(2, 0)};
}
template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
[[nodiscard]]
std::expected<Vector3<float>, Error> screen_to_world(const Vector3<float>& screen_pos) const noexcept
{
return view_port_to_screen(screen_to_ndc<screen_start>(screen_pos));
}
template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
[[nodiscard]]
std::expected<Vector3<float>, Error> screen_to_world(const Vector2<float>& screen_pos) const noexcept
{
const auto& [x, y] = screen_pos;
return screen_to_world<screen_start>({x, y, 1.f});
}
protected:
ViewPort m_view_port{};
Angle<float, 0.f, 180.f, AngleFlags::Clamped> m_field_of_view;
mutable std::optional<Mat4X4Type> m_view_projection_matrix;
float m_far_plane_distance;
float m_near_plane_distance;
ViewAnglesType m_view_angles;
Vector3<float> m_origin;
private:
template<class Type>
[[nodiscard]] constexpr static bool is_ndc_out_of_bounds(const Type& ndc) noexcept
{
return std::ranges::any_of(ndc.raw_array(), [](const auto& val) { return val < -1 || val > 1; });
}
// NDC REPRESENTATION:
/*
^
| y
1 |
|
|
-1 ---------0--------- 1 --> x
|
|
-1 |
v
*/
[[nodiscard]] Vector3<float>
ndc_to_screen_position_from_top_left_corner(const Vector3<float>& ndc) const noexcept
{
/*
+------------------------>
| (0, 0)
|
|
|
|
|
|
*/
return {(ndc.x + 1.f) / 2.f * m_view_port.m_width, (ndc.y / -2.f + 0.5f) * m_view_port.m_height, ndc.z};
}
[[nodiscard]] Vector3<float>
ndc_to_screen_position_from_bottom_left_corner(const Vector3<float>& ndc) const noexcept
{
/*
^
|
|
|
|
|
|
| (0, 0)
+------------------------>
*/
return {(ndc.x + 1.f) / 2.f * m_view_port.m_width, (ndc.y / 2.f + 0.5f) * m_view_port.m_height, ndc.z};
}
template<ScreenStart screen_start = ScreenStart::TOP_LEFT_CORNER>
[[nodiscard]] Vector3<float> screen_to_ndc(const Vector3<float>& screen_pos) const noexcept
{
if constexpr (screen_start == ScreenStart::TOP_LEFT_CORNER)
return {screen_pos.x / m_view_port.m_width * 2.f - 1.f, 1.f - screen_pos.y / m_view_port.m_height * 2.f,
screen_pos.z};
else if (screen_start == ScreenStart::BOTTOM_LEFT_CORNER)
return {screen_pos.x / m_view_port.m_width * 2.f - 1.f,
(screen_pos.y / m_view_port.m_height - 0.5f) * 2.f, screen_pos.z};
else
std::unreachable();
}
};
} // namespace omath::projection