Interpolation functions. More...

#include <system/kzs_types.h>
#include <system/kzs_header.h>

Functions
kzFloat	kzcInterpolateLinear (kzFloat value1, kzFloat value2, kzFloat t)
	Returns linearly interpolated value between given two values. More...

void	kzcInterpolateLinearVector (kzUint dimension, const kzFloat point1, const kzFloat point2, kzFloat t, kzFloat *out_point)
	Returns linearly interpolated point between given two n-dimensional points. More...

void	kzcInterpolateLinearVector2 (const struct KzcVector2 const point1, const struct KzcVector2 const point2, kzFloat t, struct KzcVector2 *out_vector)
	Returns linearly interpolated vector between given two 2-dimensional vectors. More...

void	kzcInterpolateLinearVector3 (const struct KzcVector3 const point1, const struct KzcVector3 const point2, kzFloat t, struct KzcVector3 *out_vector)
	Returns linearly interpolated vector between given two 3-dimensional vectors. More...

void	kzcInterpolateLinearVector4 (const struct KzcVector4 const point1, const struct KzcVector4 const point2, kzFloat t, struct KzcVector4 *out_vector)
	Returns linearly interpolated vector between given two 4-dimensional vectors. More...

kzFloat	kzcInterpolateBezier (kzUint degree, kzFloat *points, kzFloat t)
	Returns arbitrary degree bezier interpolated value from given points. More...

void	kzcInterpolateBezierVector (kzUint dimension, kzUint degree, const kzFloat *points, kzFloat t, kzFloat out_point)
	Returns arbitrary degree bezier interpolated point from given n-dimensional points. More...

kzFloat	kzcInterpolateBezierQuadratic (kzFloat point1, kzFloat controlPoint, kzFloat point2, kzFloat t)
	Returns quadratic bezier interpolated value from given points. More...

void	kzcInterpolateBezierQuadraticVector (kzUint dimension, const kzFloat point1, const kzFloat controlPoint, const kzFloat point2, kzFloat t, kzFloat out_point)
	Returns quadratic bezier interpolated point from given n-dimensional points. More...

void	kzcInterpolateBezierQuadraticVector2 (const struct KzcVector2 const point1, const struct KzcVector2 const controlPoint, const struct KzcVector2 const point2, kzFloat t, struct KzcVector2 out_vector)
	Returns quadratic bezier interpolated vector from given 2-dimensional vectors. More...

void	kzcInterpolateBezierQuadraticVector3 (const struct KzcVector3 const startPoint, const struct KzcVector3 const controlPoint, const struct KzcVector3 const endPoint, kzFloat t, struct KzcVector3 out_vector)
	Returns quadratic bezier interpolated vector from given 3-dimensional vectors. More...

void	kzcInterpolateBezierQuadraticVector4 (const struct KzcVector4 const point1, const struct KzcVector4 const controlPoint, const struct KzcVector4 const point2, kzFloat t, struct KzcVector4 out_vector)
	Returns quadratic bezier interpolated vector from given 4-dimensional vectors. More...

kzFloat	kzcInterpolateBezierCubic (kzFloat point1, kzFloat controlPoint1, kzFloat controlPoint2, kzFloat point2, kzFloat t)
	Returns cubic bezier interpolated value from given points. More...

void	kzcInterpolateBezierCubicVector (kzUint dimension, const kzFloat point1, const kzFloat controlPoint1, const kzFloat controlPoint2, const kzFloat point2, kzFloat t, kzFloat *out_point)
	Returns cubic bezier interpolated point from given n-dimensional points. More...

void	kzcInterpolateBezierCubicVector2 (const struct KzcVector2 const point1, const struct KzcVector2 const controlPoint1, const struct KzcVector2 const controlPoint2, const struct KzcVector2 const point2, kzFloat t, struct KzcVector2 *out_vector)
	Returns cubic bezier interpolated vector from given 2-dimensional vectors. More...

void	kzcInterpolateBezierCubicVector3 (const struct KzcVector3 const point1, const struct KzcVector3 const controlPoint1, const struct KzcVector3 const controlPoint2, const struct KzcVector3 const point2, kzFloat t, struct KzcVector3 *out_vector)
	Returns cubic bezier interpolated vector from given 3-dimensional vectors. More...

void	kzcInterpolateBezierCubicVector4 (const struct KzcVector4 const point1, const struct KzcVector4 const controlPoint1, const struct KzcVector4 const controlPoint2, const struct KzcVector4 const point2, kzFloat t, struct KzcVector4 *out_vector)
	Returns cubic bezier interpolated vector from given 4-dimensional vectors. More...

kzFloat	kzcInterpolateHermite (kzFloat value1, kzFloat derivative1, kzFloat value2, kzFloat derivative2, kzFloat t)
	Returns Hermite interpolated value between given two values and their derivatives. More...

void	kzcInterpolateHermiteVector (kzUint dimension, const kzFloat point1, const kzFloat derivative1, const kzFloat point2, const kzFloat derivative2, kzFloat t, kzFloat *out_point)
	Returns Hermite interpolated point between given two n-dimensional points and their derivatives. More...

void	kzcInterpolateHermiteVector2 (const struct KzcVector2 point1, const struct KzcVector2 derivative1, const struct KzcVector2 point2, const struct KzcVector2 derivative2, kzFloat t, struct KzcVector2 *out_vector)
	Returns Hermite interpolated vector between given two 2-dimensional vectors and their derivatives. More...

void	kzcInterpolateHermiteVector3 (const struct KzcVector3 point1, const struct KzcVector3 derivative1, const struct KzcVector3 point2, const struct KzcVector3 derivative2, kzFloat t, struct KzcVector3 *out_vector)
	Returns Hermite interpolated vector between given two 3-dimensional vectors and their derivatives. More...

void	kzcInterpolateHermiteVector4 (const struct KzcVector4 point1, const struct KzcVector4 derivative1, const struct KzcVector4 point2, const struct KzcVector4 derivative2, kzFloat t, struct KzcVector4 *out_vector)
	Returns Hermite interpolated vector between given two 4-dimensional vectors and their derivatives. More...

kzFloat	kzcInterpolatePolynomial (kzUint degree, const kzFloat *coefficients, kzFloat t)
	Returns evaluated value from the given polynomial. More...

void	kzcInterpolatePolynomialVector (kzUint dimension, kzUint degree, const kzFloat coefficients, kzFloat t, kzFloat out_point)
	Returns evaluated point from the given n-dimensional polynomial. More...

kzFloat	kzcInterpolateSmoothStep (kzFloat edge1, kzFloat edge2, kzFloat t)
	Returns smoothly interpolated value in the range [0,1] between given edges. More...

kzFloat	kzcInterpolateAngle (kzFloat angle1, kzFloat angle2, kzFloat t)
	Interpolates 2 angles, t between [0, 1]. More...

Detailed Description

Interpolation functions.

Function Documentation

kzFloat kzcInterpolateLinear	(	kzFloat	value1,
		kzFloat	value2,
		kzFloat	t
	)

Returns linearly interpolated value between given two values.

t is clamped in the range [0,1].

void kzcInterpolateLinearVector	(	kzUint	dimension,
		const kzFloat *	point1,
		const kzFloat *	point2,
		kzFloat	t,
		kzFloat *	out_point
	)

Returns linearly interpolated point between given two n-dimensional points.

t is clamped in the range [0,1].

void kzcInterpolateLinearVector2	(	const struct KzcVector2 *const	point1,
		const struct KzcVector2 *const	point2,
		kzFloat	t,
		struct KzcVector2 *	out_vector
	)

Returns linearly interpolated vector between given two 2-dimensional vectors.

t is clamped in the range [0,1].

void kzcInterpolateLinearVector3	(	const struct KzcVector3 *const	point1,
		const struct KzcVector3 *const	point2,
		kzFloat	t,
		struct KzcVector3 *	out_vector
	)

Returns linearly interpolated vector between given two 3-dimensional vectors.

t is clamped in the range [0,1].

void kzcInterpolateLinearVector4	(	const struct KzcVector4 *const	point1,
		const struct KzcVector4 *const	point2,
		kzFloat	t,
		struct KzcVector4 *	out_vector
	)

Returns linearly interpolated vector between given two 4-dimensional vectors.

t is clamped in the range [0,1].

kzFloat kzcInterpolateBezier	(	kzUint	degree,
		kzFloat *	points,
		kzFloat	t
	)

Returns arbitrary degree bezier interpolated value from given points.

First and last points are end points, all other are control points.

void kzcInterpolateBezierVector	(	kzUint	dimension,
		kzUint	degree,
		const kzFloat **	points,
		kzFloat	t,
		kzFloat *	out_point
	)

Returns arbitrary degree bezier interpolated point from given n-dimensional points.

kzFloat kzcInterpolateBezierQuadratic	(	kzFloat	point1,
		kzFloat	controlPoint,
		kzFloat	point2,
		kzFloat	t
	)

Returns quadratic bezier interpolated value from given points.

void kzcInterpolateBezierQuadraticVector	(	kzUint	dimension,
		const kzFloat *	point1,
		const kzFloat *	controlPoint,
		const kzFloat *	point2,
		kzFloat	t,
		kzFloat *	out_point
	)

Returns quadratic bezier interpolated point from given n-dimensional points.

void kzcInterpolateBezierQuadraticVector2	(	const struct KzcVector2 *const	point1,
		const struct KzcVector2 *const	controlPoint,
		const struct KzcVector2 *const	point2,
		kzFloat	t,
		struct KzcVector2 *	out_vector
	)

Returns quadratic bezier interpolated vector from given 2-dimensional vectors.

void kzcInterpolateBezierQuadraticVector3	(	const struct KzcVector3 *const	startPoint,
		const struct KzcVector3 *const	controlPoint,
		const struct KzcVector3 *const	endPoint,
		kzFloat	t,
		struct KzcVector3 *	out_vector
	)

Returns quadratic bezier interpolated vector from given 3-dimensional vectors.

void kzcInterpolateBezierQuadraticVector4	(	const struct KzcVector4 *const	point1,
		const struct KzcVector4 *const	controlPoint,
		const struct KzcVector4 *const	point2,
		kzFloat	t,
		struct KzcVector4 *	out_vector
	)

Returns quadratic bezier interpolated vector from given 4-dimensional vectors.

kzFloat kzcInterpolateBezierCubic	(	kzFloat	point1,
		kzFloat	controlPoint1,
		kzFloat	controlPoint2,
		kzFloat	point2,
		kzFloat	t
	)

Returns cubic bezier interpolated value from given points.

void kzcInterpolateBezierCubicVector	(	kzUint	dimension,
		const kzFloat *	point1,
		const kzFloat *	controlPoint1,
		const kzFloat *	controlPoint2,
		const kzFloat *	point2,
		kzFloat	t,
		kzFloat *	out_point
	)

Returns cubic bezier interpolated point from given n-dimensional points.

void kzcInterpolateBezierCubicVector2	(	const struct KzcVector2 *const	point1,
		const struct KzcVector2 *const	controlPoint1,
		const struct KzcVector2 *const	controlPoint2,
		const struct KzcVector2 *const	point2,
		kzFloat	t,
		struct KzcVector2 *	out_vector
	)

Returns cubic bezier interpolated vector from given 2-dimensional vectors.

void kzcInterpolateBezierCubicVector3	(	const struct KzcVector3 *const	point1,
		const struct KzcVector3 *const	controlPoint1,
		const struct KzcVector3 *const	controlPoint2,
		const struct KzcVector3 *const	point2,
		kzFloat	t,
		struct KzcVector3 *	out_vector
	)

Returns cubic bezier interpolated vector from given 3-dimensional vectors.

void kzcInterpolateBezierCubicVector4	(	const struct KzcVector4 *const	point1,
		const struct KzcVector4 *const	controlPoint1,
		const struct KzcVector4 *const	controlPoint2,
		const struct KzcVector4 *const	point2,
		kzFloat	t,
		struct KzcVector4 *	out_vector
	)

Returns cubic bezier interpolated vector from given 4-dimensional vectors.

kzFloat kzcInterpolateHermite	(	kzFloat	value1,
		kzFloat	derivative1,
		kzFloat	value2,
		kzFloat	derivative2,
		kzFloat	t
	)

Returns Hermite interpolated value between given two values and their derivatives.

t is clamped in the range [0,1].

void kzcInterpolateHermiteVector	(	kzUint	dimension,
		const kzFloat *	point1,
		const kzFloat *	derivative1,
		const kzFloat *	point2,
		const kzFloat *	derivative2,
		kzFloat	t,
		kzFloat *	out_point
	)

Returns Hermite interpolated point between given two n-dimensional points and their derivatives.

t is clamped in the range [0,1].

void kzcInterpolateHermiteVector2	(	const struct KzcVector2 *	point1,
		const struct KzcVector2 *	derivative1,
		const struct KzcVector2 *	point2,
		const struct KzcVector2 *	derivative2,
		kzFloat	t,
		struct KzcVector2 *	out_vector
	)

Returns Hermite interpolated vector between given two 2-dimensional vectors and their derivatives.

t is clamped in the range [0,1].

void kzcInterpolateHermiteVector3	(	const struct KzcVector3 *	point1,
		const struct KzcVector3 *	derivative1,
		const struct KzcVector3 *	point2,
		const struct KzcVector3 *	derivative2,
		kzFloat	t,
		struct KzcVector3 *	out_vector
	)

Returns Hermite interpolated vector between given two 3-dimensional vectors and their derivatives.

t is clamped in the range [0,1].

void kzcInterpolateHermiteVector4	(	const struct KzcVector4 *	point1,
		const struct KzcVector4 *	derivative1,
		const struct KzcVector4 *	point2,
		const struct KzcVector4 *	derivative2,
		kzFloat	t,
		struct KzcVector4 *	out_vector
	)

Returns Hermite interpolated vector between given two 4-dimensional vectors and their derivatives.

t is clamped in the range [0,1].

kzFloat kzcInterpolatePolynomial	(	kzUint	degree,
		const kzFloat *	coefficients,
		kzFloat	t
	)

Returns evaluated value from the given polynomial.

t is clamped in the range [0,1].

void kzcInterpolatePolynomialVector	(	kzUint	dimension,
		kzUint	degree,
		const kzFloat *	coefficients,
		kzFloat	t,
		kzFloat *	out_point
	)

Returns evaluated point from the given n-dimensional polynomial.

t is clamped in the range [0,1].

Parameters

coefficients 2-dimensional array flattened to 1-dimensional array. coefficients[degree][dimension] -> coefficients[degree * dimension]

kzFloat kzcInterpolateSmoothStep	(	kzFloat	edge1,
		kzFloat	edge2,
		kzFloat	t
	)

Returns smoothly interpolated value in the range [0,1] between given edges.

The smoothing is calculated as specified in the OpenGL Shading Language specification. edge1 must be less than edge2. Value of the function is 0 if t <= edge1 and 1 if t >= edge2. If edge1 < t < edge2, the value is interpolated smoothly between edge1 and edge2 in a way that the derivative of the function is f'(edge1) == f'(edge2) == 0.

kzFloat kzcInterpolateAngle	(	kzFloat	angle1,
		kzFloat	angle2,
		kzFloat	t
	)

Interpolates 2 angles, t between [0, 1].

Returns interpolated angle.

Functions

Detailed Description

Function Documentation