splines.h File Reference

Spline interpolation. More...

#include "../core/constants.h"
#include "../algebra/algebra_types.h"

Go to the source code of this file.

Classes
struct	theoretica::spline_node
	A cubic splines node for a given x interval. More...
class	theoretica::spline
	A natural cubic spline interpolation class. More...

Namespaces
	theoretica
	Main namespace of the library which contains all functions and objects.

Functions
real	theoretica::lerp (real x1, real x2, real interp)
	Linear interpolation.
template<unsigned int N>
vec< real, N >	theoretica::lerp (const vec< real, N > &P1, const vec< real, N > &P2, real interp)
	Linear interpolation.
real	theoretica::invlerp (real x1, real x2, real value)
	Inverse linear interpolation.
template<unsigned int N>
vec< real, N >	theoretica::invlerp (const vec< real, N > &P1, const vec< real, N > &P2, real value)
	Inverse linear interpolation.
real	theoretica::remap (real iFrom, real iTo, real oFrom, real oTo, real value)
	Remap a value from one range to another.
template<unsigned int N>
vec< real, N >	theoretica::remap (const vec< real, N > &iFrom, const vec< real, N > &iTo, const vec< real, N > &oFrom, const vec< real, N > &oTo, real value)
	Remap a vector value from one range to another.
template<unsigned int N>
vec< real, N >	theoretica::nlerp (const vec< real, N > &P1, const vec< real, N > &P2, real interp)
	Normalized linear interpolation.
template<unsigned int N>
vec< real, N >	theoretica::slerp (const vec< real, N > &P1, const vec< real, N > &P2, real t)
	Spherical interpolation.
real	theoretica::smoothstep (real x1, real x2, real interp)
	Smoothstep interpolation.
real	theoretica::smootherstep (real x1, real x2, real interp)
	Smootherstep interpolation.
template<unsigned int N>
vec< real, N >	theoretica::quadratic_bezier (const vec< real, N > &P0, const vec< real, N > &P1, const vec< real, N > &P2, real t)
	Quadratic Bezier curve.
template<unsigned int N>
vec< real, N >	theoretica::cubic_bezier (const vec< real, N > &P0, const vec< real, N > &P1, const vec< real, N > &P2, vec< real, N > P3, real t)
	Cubic Bezier curve.
template<unsigned int N>
vec< real, N >	theoretica::bezier (const std::vector< vec< real, N >> &points, real t)
	Generic Bezier curve in N dimensions. More...
template<typename DataPoints = std::vector<vec2>>
std::vector< spline_node >	theoretica::cubic_splines (DataPoints p)
	Compute the cubic splines interpolation of a set of data points. More...
template<typename Dataset1 , typename Dataset2 >
std::vector< spline_node >	theoretica::cubic_splines (const Dataset1 &x, const Dataset2 &y)
	Compute the cubic splines interpolation of the sets of X and Y data points. More...

Detailed Description

Spline interpolation.