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omath/include/omath/engines/opengl_engine/formulas.hpp
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2026-06-15 20:22:35 +03:00

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//
// Created by Orange on 12/23/2024.
//
#pragma once
#include "omath/engines/opengl_engine/constants.hpp"
namespace omath::opengl_engine
{
[[nodiscard("rotation matrix result should not be discarded")]]
constexpr Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
[[nodiscard("forward vector result should not be discarded")]]
constexpr Vector3<float> forward_vector(const ViewAngles& angles) noexcept
{
const auto vec =
rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_forward);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
[[nodiscard("right vector result should not be discarded")]]
constexpr Vector3<float> right_vector(const ViewAngles& angles) noexcept
{
const auto vec =
rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_right);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
[[nodiscard("up vector result should not be discarded")]]
constexpr Vector3<float> up_vector(const ViewAngles& angles) noexcept
{
const auto vec = rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_up);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
[[nodiscard("view matrix result should not be discarded")]]
constexpr Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
{
return mat_look_at_right_handed(cam_origin, cam_origin + forward_vector(angles), up_vector(angles));
}
[[nodiscard("rotation matrix result should not be discarded")]]
constexpr Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
{
return mat_rotation_axis_z<float, MatStoreType::COLUMN_MAJOR>(angles.roll)
* mat_rotation_axis_y<float, MatStoreType::COLUMN_MAJOR>(angles.yaw)
* mat_rotation_axis_x<float, MatStoreType::COLUMN_MAJOR>(angles.pitch);
}
[[nodiscard("origin result should not be discarded")]]
constexpr Vector3<float> extract_origin(const Mat4X4& mat) noexcept
{
return mat_extract_origin(mat);
}
[[nodiscard("scale result should not be discarded")]]
constexpr Vector3<float> extract_scale(const Mat4X4& mat) noexcept
{
return mat_extract_scale(mat);
}
[[nodiscard("rotation angles result should not be discarded")]]
constexpr ViewAngles extract_rotation_angles(const Mat4X4& mat) noexcept
{
const auto angles = mat_extract_rotation_zyx(mat);
return {
PitchAngle::from_degrees(angles.x),
YawAngle::from_degrees(angles.y),
RollAngle::from_degrees(angles.z),
};
}
[[nodiscard("perspective projection matrix result should not be discarded")]]
constexpr Mat4X4 calc_perspective_projection_matrix(
const float field_of_view, const float aspect_ratio, const float near_plane, const float far_plane,
const NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept
{
if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return mat_perspective_right_handed_vertical_fov<float, MatStoreType::COLUMN_MAJOR,
NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
field_of_view, aspect_ratio, near_plane, far_plane);
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return mat_perspective_right_handed_vertical_fov<float, MatStoreType::COLUMN_MAJOR,
NDCDepthRange::ZERO_TO_ONE>(field_of_view, aspect_ratio,
near_plane, far_plane);
std::unreachable();
}
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>
[[nodiscard("centimeters value should not be discarded")]]
constexpr FloatingType units_to_centimeters(const FloatingType& units)
{
return units / static_cast<FloatingType>(100);
}
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>
[[nodiscard("meters value should not be discarded")]]
constexpr FloatingType units_to_meters(const FloatingType& units)
{
return units;
}
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>
[[nodiscard("kilometers value should not be discarded")]]
constexpr FloatingType units_to_kilometers(const FloatingType& units)
{
return units_to_meters(units) / static_cast<FloatingType>(1000);
}
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>
[[nodiscard("units value should not be discarded")]]
constexpr FloatingType centimeters_to_units(const FloatingType& centimeters)
{
return centimeters * static_cast<FloatingType>(100);
}
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>
[[nodiscard("units value should not be discarded")]]
constexpr FloatingType meters_to_units(const FloatingType& meters)
{
return meters;
}
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>
[[nodiscard("units value should not be discarded")]]
constexpr FloatingType kilometers_to_units(const FloatingType& kilometers)
{
return meters_to_units(kilometers * static_cast<FloatingType>(1000));
}
} // namespace omath::opengl_engine