Interpolate Namespace Reference

Functions
template<typename y_t , typename x_t >
y_t	lerp (y_t y0, y_t yf, x_t x)
template<typename y_t , typename x_t >
y_t	cubicBezier (y_t y0, y_t yf, x_t x)
template<typename y_t , typename x_t >
y_t	cubicBezierFirstDerivative (y_t y0, y_t yf, x_t x)
template<typename y_t , typename x_t >
y_t	cubicBezierSecondDerivative (y_t y0, y_t yf, x_t x)

Function Documentation

template<typename y_t , typename x_t >

y_t Interpolate::cubicBezier	(	y_t	y0,
		y_t	yf,
		x_t	x
	)

Cubic bezier interpolation between y0 and yf. x is between 0 and 1

Definition at line 29 of file Interpolation.h.

                                       {
  static_assert(std::is_floating_point<x_t>::value,
                "must use floating point value");
  assert(x >= 0 && x <= 1);
  y_t yDiff = yf - y0;
  x_t bezier = x * x * x + x_t(3) * (x * x * (x_t(1) - x));
  return y0 + bezier * yDiff;
}

Here is the caller graph for this function:

template<typename y_t , typename x_t >

y_t Interpolate::cubicBezierFirstDerivative	(	y_t	y0,
		y_t	yf,
		x_t	x
	)

Cubic bezier interpolation derivative between y0 and yf. x is between 0 and 1

Definition at line 43 of file Interpolation.h.

                                                      {
  static_assert(std::is_floating_point<x_t>::value,
                "must use floating point value");
  assert(x >= 0 && x <= 1);
  y_t yDiff = yf - y0;
  x_t bezier = x_t(6) * x * (x_t(1) - x);
  return bezier * yDiff;
}

Here is the caller graph for this function:

template<typename y_t , typename x_t >

y_t Interpolate::cubicBezierSecondDerivative	(	y_t	y0,
		y_t	yf,
		x_t	x
	)

Cubic bezier interpolation derivative between y0 and yf. x is between 0 and 1

Definition at line 57 of file Interpolation.h.

                                                       {
  static_assert(std::is_floating_point<x_t>::value,
                "must use floating point value");
  assert(x >= 0 && x <= 1);
  y_t yDiff = yf - y0;
  x_t bezier = x_t(6) - x_t(12) * x;
  return bezier * yDiff;
}

Here is the caller graph for this function:

template<typename y_t , typename x_t >

y_t Interpolate::lerp	(	y_t	y0,
		y_t	yf,
		x_t	x
	)

Linear interpolation between y0 and yf. x is between 0 and 1

Definition at line 18 of file Interpolation.h.

                                {
  static_assert(std::is_floating_point<x_t>::value,
                "must use floating point value");
  assert(x >= 0 && x <= 1);
  return y0 + (yf - y0) * x;
}

Here is the caller graph for this function: