alg_base.h File Reference

Common auxiliary functions. More...

#include <templ_s_array.h>
#include <templ_array2.h>
#include <mb_rect.h>
#include <mb_placement3d.h>
#include <mb_cart_point.h>
#include <mb_cart_point3d.h>
#include <mb_enum.h>
#include <math_version.h>
#include <limits.h>
#include <vector>

Namespaces
	c3d
	C3D namespace declaration.

Functions
double	c3d::CalcAngle0X (double dx, double dy)
	Calculate angle between line and 0X-axis. More...
long double	c3d::CalcAngle0X (long double dx, long double dy)
	Calculate the angle between a line and 0X-axis. More...
double	c3d::CalcAngle0X (const MbCartPoint &p1, const MbCartPoint &p2)
	Calculate the angle between a line and 0X-axis. More...
double &	c3d::NormalizeAngle (double &angle, double angleEpsilon=Math::AngleEps)
	Normalize an angle. More...
void	c3d::AngleToParam (double dir, bool left, double &t)
	Transform a circle angle to the curve parameter. More...
template<class Type >
double	c3d::AngleBetweenVectors (const Type &v1, const Type &v2)
	Calculate the angle between two-dimensional vectors. More...
double	c3d::CalcAngle3Points (const MbCartPoint &p1, const MbCartPoint &centre, const MbCartPoint &p3)
	Calculate the minimal angle between lines. More...
template<class ParamsVector >
bool	c3d::ArFind (const ParamsVector &arParam, double t, ptrdiff_t &id)
	Find a parameter in the array. More...
MbCartPoint	c3d::LineSegDivide (const MbCartPoint &p1, const MbCartPoint &p2)
	Split segment by the middle. More...
ptrdiff_t	c3d::mod (ptrdiff_t i, ptrdiff_t n)
	I by modulo n (cyclic case).
int	c3d::Sign (double a)
	Determination of the sign of a real number.
int	c3d::Round (double x)
	Round-off the real number.
int32	c3d::LRound (double x)
	Round-off the real number.
int32	c3d::CheckLRound (double x)
	Round-off the real number with validation.
bool	c3d::InRange (double x1, double x2, double x)
	Check if the number is in range [x1, x2]. More...
bool	c3d::IsParamOn (double tmin, double tmax, double t, double treg)
	Check if parameter is in the range of the curve. More...
bool	c3d::InRangePlus (double x1, double x, double eps=FLT_EPSILON)
	Check if the number is in range [0, x1). More...
template<class TypeVector >
bool	c3d::IsMonotonic (const TypeVector &items, bool isAscending, bool allowEqual=false)
	Whether vector of objects is ascending or descending. More...
template<class Point , class Vector , class PointsVector >
bool	c3d::ArePointsOnLine (const PointsVector &pnts, double metricEps=METRIC_EPSILON)
	Whether points lie on the line. More...
template<class SpacePointsVector >
bool	c3d::IsPlanar (const SpacePointsVector &pnts, MbPlacement3D *place, double mEps=METRIC_EPSILON)
	Whether the set of points lies on plane. More...
template<class Point >
bool	c3d::IsPlanar2 (const Array2< Point > &pnts, MbPlacement3D *place, double mEps=METRIC_EPSILON)
	Whether the set of points lies on plane. More...
template<class PointsVector , class BBox >
bool	c3d::CalculateBoundingBox (const PointsVector &pnts, BBox &bbox)
	Calculate points bounding box. More...
template<class Point , class BBox >
bool	c3d::CalculateBoundingBox2 (const Array2< Point > &pnts, BBox &bbox)
	Calculate points bounding box. More...
template<class DoubleVector >
void	c3d::SetLimitParam (DoubleVector &tarr, double tmin, double tmax, double teps=Math::paramEpsilon)
	Set the range of parameter. More...
template<class DoubleParamsVector >
bool	SortSynchroArrays (DoubleParamsVector &tt0, DoubleParamsVector &tt2, double eps, bool checkCoincidentParams)
	Sort the array. More...
template<class DoubleParamsVector >
void	SortArray (DoubleParamsVector &tt0, double eps, bool checkCoincidentParams)
	Sort the array. More...
bool	CorrectCiclicParameter (double period, double p0, double &p)
	Re-roll the parameter for a period. More...
void	CorrectParameter (bool pext, bool pc, double pmin, double pmax, double &p, double eps=Math::paramRegion)
	Refine the parameter. More...
bool	CorrectCheckNearParameter (const double &tmin, const double &tmax, const double &tPeriod, const bool &ext, const double &tRegion, double &t)
	Correction of parameter with validation. More...
bool	MatrixRoughInverse (const MbPlacement3D &place3D, const MbDirection *pDir, const MbVector3D &seeY, const MbVector3D &seeZ, MbMatrix &matrix)
	Determine the inversion matrix of roughness symbol. More...
bool	MatrixTextInverse (const MbPlacement3D &place3D, const MbDirection *pDir, const MbVector3D &seeY, const MbVector3D &seeZ, MbMatrix &matrix)
	Determine the inversion matrix of text. More...
bool	RoundedValue (double &value, uint8 n)
	The value is rounded to n significant digits. More...
int	QuadraticEquation (double a, double b, double c, double &d, std::pair< double, double > &res)
	Solve a quadratic equation of the form a * x ^ 2 + b * x + c = 0 without external tolerance control. More...
int	QuadraticEquation (double a, double b, double c, double &x1, double &x2, double epsilon=Math::paramEpsilon)
	Solve a quadratic equation of the form a * x ^ 2 + b * x + c = 0. More...
int	QubicEquation (double a, double b, double c, double d, double *x, double epsilon)
	Solve a cubic equation of the form a * x^3 + b * x^2 + c * x + d = 0. More...
int	CubicEquation (double i1, double i2, double i3, double *x, double epsilon)
	Solve a cubic equation of the form x^3 - i1 * x^2 + i2 * x - i3 = 0. More...
int	Degree4Equation (double a, double b, double c, double d, double e, double *x, double epsilon)
	Solve a quartic equation of the form a * x^4 + b * x^3 + с * x^2 + d * x + e = 0. More...
void	EigenVector (double a[c3d::SPACE_DIM][c3d::SPACE_DIM], MbVector3D &vect)
	Determine the eigenvector of 3 x 3 matrix. More...

Detailed Description

Common auxiliary functions.