Functions used to deal with smooth curves

Functions
TL_DLL bool	TeGetCenter (TePoint p1, TePoint p2, TePoint p3, TePoint &center)
	Given three points of a circunference, returns its center point.
TL_DLL double	TeGetRadius (TePoint &p1, TePoint &p2, TePoint &p3)
	Given three points of a circunference, returns the radius.
TL_DLL bool	TeGenerateArc (TePoint &p1, TePoint &p2, TePoint &p3, TeLine2D &arcOut, const short &NPoints)
	Given three points returns a smooth arc as a TeLine2D that contains a given total number of points.
TL_DLL bool	TeGenerateCircle (const TePoint &center, const double &radius, TeLine2D &circle, const short &NPoints)
	Given a center point and a radius, returns the circle as a TeLine2D interpolated by a given number of points.
TL_DLL bool	TeLineSimplify (TeLine2D &line, double snap, double maxdist)
	Performs a line simplication.
TL_DLL bool	TeAdjustSegment (TeCoord2D P0, TeCoord2D P1, double d0, TeCoord2D &P0out, TeCoord2D &P1out)
	Adjust Segment to specific distance.
TL_DLL bool	TeFindCentroid (const TeLine2D &line, TeCoord2D &p)
	Get middle line Method like find Centroid but this method calculate the correct middle point.

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Function Documentation

TL_DLL bool TeAdjustSegment	(	TeCoord2D	P0,
		TeCoord2D	P1,
		double	d0,
		TeCoord2D &	P0out,
		TeCoord2D &	P1out
	)

Adjust Segment to specific distance.

Parameters:

P0	first coordinate
P1	second coordinate
d0	distance value to adjust
P0out	first coordinate adjusted
P1out	second coordinate adjusted

Returns:

returns true whether possible adjust segment

TL_DLL bool TeFindCentroid	(	const TeLine2D &	line,
		TeCoord2D &	p
	)

Get middle line Method like find Centroid but this method calculate the correct middle point.

Parameters:

line	The Line to calculate the middle point
p	middle point

Returns:

returns true case possible calculate the middle line

TL_DLL bool TeGenerateArc	(	TePoint &	p1,
		TePoint &	p2,
		TePoint &	p3,
		TeLine2D &	arcOut,
		const short &	NPoints
	)

Given three points returns a smooth arc as a TeLine2D that contains a given total number of points.

Parameters:

p1	First point.
p2	Second point.
p3	Third point.
arcOut	The return arc.
NPoints	Number of arc points.

This algorithm is adapted from http://mathforum.org/dr.math/

TL_DLL bool TeGenerateCircle	(	const TePoint &	center,
		const double &	radius,
		TeLine2D &	circle,
		const short &	NPoints
	)

Given a center point and a radius, returns the circle as a TeLine2D interpolated by a given number of points.

Parameters:

center	Center point of the circle.
radius	radius of the circle.
circle	The return circle
NPoints	Number of circle points.

TL_DLL bool TeGetCenter	(	TePoint	p1,
		TePoint	p2,
		TePoint	p3,
		TePoint &	center
	)

Given three points of a circunference, returns its center point.

Parameters:

p1	First point.
p2	Second point.
p3	Third point.
center	Circunference center. This algorithm is adapted from http://www.delphiforfun.org/Programs/Math_Topics/circle_from_3_points.htmbook.

TL_DLL double TeGetRadius	(	TePoint &	p1,
		TePoint &	p2,
		TePoint &	p3
	)

Given three points of a circunference, returns the radius.

Parameters:

p1	First point.
p2	Second point.
p3	Third point. This algorithm is adapted from http://www.delphiforfun.org/Programs/Math_Topics/circle_from_3_points.htmbook.

TL_DLL bool TeLineSimplify	(	TeLine2D &	line,
		double	snap,
		double	maxdist
	)

Performs a line simplication.

Parameters:

line	The line to be simplified
snap	Simplification threshold
maxdist	The maximum distance between intermediary segments