YasiuMathLib.h File Reference

#include <vector>
#include <cassert>
#include <cmath>
#include <stdexcept>
#include <algorithm>
#include <unordered_set>
#include "Constants.h"
#include "YasiuMathDataTypes.h"
#include "YasiuMathLib.inl"

Go to the source code of this file.

Classes
struct	YasiuMath::Ballistics::ProjectileDynamicState< T >
	Ballistic state. Can move in time with DiscreteStep function. More...
struct	YasiuMath::Ballistics::InterceptorParams< T >
	Params used for ballistics predictions. More...

Namespaces
namespace	YasiuMath
	Categorized name spaces.
namespace	YasiuMath::Rotation
	Manipulation of rotation or angles.
namespace	YasiuMath::Trigonometry
	Trigonometry problems in 2D or 3D space.
namespace	YasiuMath::ConvexHull
	Convex hull functions and helper functions.
namespace	YasiuMath::Ballistics
	Linear and dynamic objects simulation / prediction.
namespace	YasiuMath::Numeric
	Generic functions.
namespace	YasiuMath::Algebra
	Linear algebra problems.

Functions
template<typename T>
T	YasiuMath::Rotation::NormalizeAngleToPeriod (T angle, T period=360.f)
	Normalize angle to range <0, period>. Unit independent.
template<typename T>
std::vector< std::pair< T, T > >	YasiuMath::Trigonometry::SpreadPointsOnTangentByAngleRadius (const T angle, const T radius, const T spreadDistance)
template<typename T>
std::vector< std::pair< T, T > >	YasiuMath::Trigonometry::SpreadPointsOnTangentByXY (const T X, const T Y, const T spreadDistance)
	Spread points on tangent line to arc.
template<typename T>
T	YasiuMath::Trigonometry::FindMinimalRadiusForIntersectingTangentsOnArc (const T alfa, const T beta, const T symmetricWidth)
	Finds radius of circle for both tangent line that intersect.
template<typename T>
std::pair< T, T >	YasiuMath::Trigonometry::FindMinimalRadiusForIntersectingTangentsOnArcAsymmetric (const T alfa, const T beta, const T widthA, const T widthB)
	Finds radius of 2 circles for both tangent line that intersect. Tangents on circle are defined by angle Alfa and Beta. Where point with angle 0 is has value \(\{X, 0\}\) and goes counter-clockwise.
template<typename T>
std::vector< int >	YasiuMath::ConvexHull::ConvexHull2D (const std::vector< std::pair< T, T > > &polygonPoints)
	Find Convex Hull in 2D space from given points.
template<typename T>
bool	YasiuMath::Ballistics::InterceptMissile_Linear (const Types::Vec3< T > &MissilePosition, const Types::Vec3< T > &MissileVelocity, const T BulletSpeed, Types::Vec3< T > &InterceptLocation, T &ImpactTime)
	Linear movement with linear velocity, Fast: O(1).
template<typename T>
bool	YasiuMath::Ballistics::InterceptMissile_Linear (const Vec3< T > &TargetPosition, const Vec3< T > &TargetVelocity, const T BulletSpeed, Vec3< T > &InterceptLocation)
	Linear movement with linear velocity, Fast: O(1).
template<typename T>
bool	YasiuMath::Ballistics::InterceptMissile_Dynamic (ProjectileDynamicState< T > Target, const InterceptorParams< T > &Interceptor, const T MaxQueryTime, const T StepTime, Types::Vec3< T > &PredictedLocation)
	Iterative state prediction. Returns first possible intercept location and time.
template<typename T>
bool	YasiuMath::Ballistics::InterceptMissile_Dynamic (ProjectileDynamicState< T > Target, const InterceptorParams< T > &Interceptor, const T MaxQueryTime, const T StepTime, Types::Vec3< T > &HitLocation, T &HitTime)
	Iterative state prediction. Returns first possible intercept location and time.
template<typename T>
bool	YasiuMath::Ballistics::InterceptMissile_Dynamic (ProjectileDynamicState< T > Target, const InterceptorParams< T > &Interceptor, const T MaxQueryTime, const T StepTime, const T AccurateStepTime, Types::Vec3< T > &HitLocation)
	Iterative state prediction. Returns first possible intercept location and time.
template<typename T>
bool	YasiuMath::Ballistics::InterceptMissile_Dynamic (ProjectileDynamicState< T > Target, const InterceptorParams< T > &Interceptor, const T MaxQueryTime, const T StepTime, const T AccurateStepTime, Types::Vec3< T > &HitLocation, T &HitTime)
	FULL IMPL.
template<typename T>
bool	YasiuMath::Numeric::IsNearly0 (T Value)
	Checks if value is nearly 0, YasiuMath::Constants::EPSILON.
template<typename T>
T	YasiuMath::Algebra::Remap (const T Value, const T InMin, const T InMax, T OutMin, T OutMax, const bool ClampOutput=false)
	Remaps Value between input range to output range with optional clamping.