C3D Toolkit
Kernel - 117982, Vision - 2.9.2.2
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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 ¢re, 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... | |
Common auxiliary functions.