Lerp.hpp File Reference

Lerp algorithms implementation. More...

#include <algorithm>
#include <SA/Maths/Debug.hpp>
#include <SA/Maths/Algorithms/Cos.hpp>
#include <SA/Maths/Algorithms/Sin.hpp>

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Functions
template<typename T >
T	SA::Maths::LerpUnclamped (const T &_start, const T &_end, float _alpha) noexcept
	Unclamped Lerp from _start to _end at _alpha.
template<typename T >
T	SA::Maths::Lerp (const T &_start, const T &_end, float _alpha) noexcept
	Clamped Lerp from _start to _end at _time.
template<typename T >
T	SA::Maths::SLerpUnclamped (const T &_start, const T &_end, float _alpha) noexcept
	Unclamped SLerp from _start to _end at _alpha.
template<typename T >
T	SA::Maths::SLerp (const T &_start, const T &_end, float _alpha) noexcept
	Clamped SLerp from _start to _end at _alpha.

Detailed Description

Lerp algorithms implementation.

Function Documentation

Lerp()

template<typename T >

T SA::Maths::Lerp ( const T & _start, const T & _end, float _alpha )

noexcept

Clamped Lerp from _start to _end at _time.

Reference: https://en.wikipedia.org/wiki/Linear_interpolation

Template Parameters

T	Input type.

Parameters

[in]	_start	Starting point of the lerp.
[in]	_end	Ending point of the lerp.
[in]	_alpha	Alpha of the lerp.

Returns

interpolation between _start and _end. return _start when _alpha == 0.0f and _end when _alpha == 1.0f.

LerpUnclamped()

template<typename T >

T SA::Maths::LerpUnclamped ( const T & _start, const T & _end, float _alpha )

noexcept

Unclamped Lerp from _start to _end at _alpha.

Reference: https://en.wikipedia.org/wiki/Linear_interpolation

Template Parameters

T	Input type.

Parameters

[in]	_start	Starting point of the lerp.
[in]	_end	Ending point of the lerp.
[in]	_alpha	Alpha of the lerp.

Returns

interpolation between _start and _end. return _start when _alpha == 0.0f and _end when _alpha == 1.0f.

SLerp()

template<typename T >

T SA::Maths::SLerp ( const T & _start, const T & _end, float _alpha )

noexcept

Clamped SLerp from _start to _end at _alpha.

Reference: https://en.wikipedia.org/wiki/Slerp

Template Parameters

T	Input type.

Parameters

[in]	_start	Starting point of the lerp.
[in]	_end	Ending point of the lerp.
[in]	_alpha	Alpha of the lerp.

Returns

interpolation between _start and _end. return _start when _alpha == 0.0f and _end when _alpha == 1.0f.

SLerpUnclamped()

template<typename T >

T SA::Maths::SLerpUnclamped ( const T & _start, const T & _end, float _alpha )

noexcept

Unclamped SLerp from _start to _end at _alpha.

Reference: https://en.wikipedia.org/wiki/Slerp

Template Parameters

T	Input type.

Parameters

[in]	_start	Starting point of the lerp.
[in]	_end	Ending point of the lerp.
[in]	_alpha	Alpha of the lerp.

Returns

interpolation between _start and _end. return _start when _alpha == 0.0f and _end when _alpha == 1.0f.

Reference: https://en.wikipedia.org/wiki/Slerp Formula: (Sin((1.0f - _alpha) * angle) * _start) / sin + (sinStep * _end) / sin.