Files
Seele/src/Engine/Math/Vector.h
T
2022-03-19 22:45:30 +01:00

98 lines
2.8 KiB
C++

#pragma once
#include <glm/vec2.hpp>
#include <glm/vec3.hpp>
#include <glm/vec4.hpp>
#include <glm/gtc/quaternion.hpp>
namespace Seele
{
typedef glm::vec2 Vector2;
typedef glm::vec3 Vector;
typedef glm::vec4 Vector4;
typedef glm::uvec2 UVector2;
typedef glm::uvec3 UVector3;
typedef glm::uvec4 UVector4;
typedef glm::ivec2 IVector2;
typedef glm::ivec3 IVector3;
typedef glm::ivec4 IVector4;
typedef glm::quat Quaternion;
Vector parseVector(const char*);
std::ostream& operator<<(std::ostream& stream, const Vector2& vector);
std::ostream& operator<<(std::ostream& stream, const Vector& vector);
std::ostream& operator<<(std::ostream& stream, const Vector4& vector);
static inline float square(float x)
{
return x * x;
}
static inline Vector unrotateVector(Quaternion quaternion, Vector v)
{
const Vector q(-quaternion.x, -quaternion.y, -quaternion.z);
const Vector t = 2.f * glm::cross(q, v);
const Vector result = v + (quaternion.w * t) + glm::cross(q, t);
return result;
}
static inline bool equalsQuaternion(const Quaternion &right, const Quaternion &left, float tolerance)
{
return (abs(right.x - left.x) <= tolerance && abs(right.y - left.y) <= tolerance && abs(right.z - left.z) <= tolerance && abs(right.w - left.w) <= tolerance) || (abs(right.x + left.x) <= tolerance && abs(right.y + left.y) <= tolerance && abs(right.z + left.z) <= tolerance && abs(right.w + left.w) <= tolerance);
}
static inline float clampRotatorAxis(float angle)
{
angle = fmod(angle, 360.f);
if (angle < 0.f)
{
angle += 360.f;
}
return angle;
}
static inline float normalizeRotatorAxis(float angle)
{
angle = clampRotatorAxis(angle);
if (angle > 180.f)
{
angle -= 360.f;
}
return angle;
}
static inline Vector toRotator(const Quaternion &other)
{
const float singularityTest = other.z * other.x - other.w * other.y;
const float yawY = 2.f * (other.w * other.z + other.x * other.y);
const float yawX = (1.f - 2.f * (square(other.y) + square(other.z)));
const float SINGULARITY_THRESHOLD = 0.4999995f;
const float RAD_TO_DEG = (180.f) / glm::pi<float>();
Vector rotatorFromQuat;
if (singularityTest < -SINGULARITY_THRESHOLD)
{
rotatorFromQuat.x = -90.f;
rotatorFromQuat.y = atan2(yawY, yawX) * RAD_TO_DEG;
rotatorFromQuat.z = normalizeRotatorAxis(-rotatorFromQuat.y - (2.f * atan2(other.x, other.w) * RAD_TO_DEG));
}
else if (singularityTest > SINGULARITY_THRESHOLD)
{
rotatorFromQuat.x = 90.f;
rotatorFromQuat.y = atan2(yawY, yawX) * RAD_TO_DEG;
rotatorFromQuat.z = normalizeRotatorAxis(rotatorFromQuat.y - (2.f * atan2(other.x, other.w) * RAD_TO_DEG));
}
else
{
rotatorFromQuat.x = asin(2.f * (singularityTest)) * RAD_TO_DEG;
rotatorFromQuat.y = atan2(yawY, yawX) * RAD_TO_DEG;
rotatorFromQuat.z = atan2(-2.f * (other.w * other.x + other.y * other.z), (1.f - 2.f * (square(other.x) + square(other.y)))) * RAD_TO_DEG;
}
return rotatorFromQuat;
}
} // namespace Seele