| 1 | #ifndef VECTOR_HPP_
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| 2 | #define VECTOR_HPP_
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| 3 |
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| 4 | using namespace std;
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| 5 |
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| 6 | /*********************************************** includes ***********************************/
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| 7 |
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| 8 | // include config.h
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| 9 | #ifdef HAVE_CONFIG_H
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| 10 | #include <config.h>
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| 11 | #endif
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| 12 |
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| 13 | #include <gsl/gsl_vector.h>
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| 14 | #include <gsl/gsl_multimin.h>
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| 15 |
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| 16 | #include "defs.hpp"
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| 17 |
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| 18 | /********************************************** declarations *******************************/
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| 19 |
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| 20 | /** Single vector.
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| 21 | * basically, just a x[3] but with helpful functions
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| 22 | */
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| 23 | class Vector {
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| 24 | public:
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| 25 | double x[NDIM];
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| 26 |
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| 27 | Vector();
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| 28 | Vector(double x1, double x2, double x3);
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| 29 | ~Vector();
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| 30 |
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| 31 | double Distance(const Vector *y) const;
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| 32 | double DistanceSquared(const Vector *y) const;
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| 33 | double DistanceToPlane(ofstream *out, Vector *PlaneNormal, Vector *PlaneOffset);
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| 34 | double PeriodicDistance(const Vector *y, const double *cell_size) const;
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| 35 | double PeriodicDistanceSquared(const Vector *y, const double *cell_size) const;
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| 36 | double ScalarProduct(const Vector *y) const;
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| 37 | double Norm() const;
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| 38 | double NormSquared() const;
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| 39 | double Angle(const Vector *y) const;
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| 40 | bool IsZero() const;
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| 41 | bool IsOne() const;
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| 42 | bool IsNormalTo(const Vector *normal) const;
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| 43 |
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| 44 | void AddVector(const Vector *y);
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| 45 | void SubtractVector(const Vector *y);
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| 46 | void CopyVector(const Vector *y);
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| 47 | void CopyVector(const Vector y);
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| 48 | void RotateVector(const Vector *y, const double alpha);
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| 49 | void VectorProduct(const Vector *y);
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| 50 | void ProjectOntoPlane(const Vector *y);
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| 51 | void ProjectIt(const Vector *y);
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| 52 | Vector Projection(const Vector *y) const;
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| 53 | void Zero();
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| 54 | void One(double one);
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| 55 | void Init(double x1, double x2, double x3);
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| 56 | void Normalize();
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| 57 | void Translate(const Vector *x);
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| 58 | void Mirror(const Vector *x);
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| 59 | void Scale(double **factor);
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| 60 | void Scale(double *factor);
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| 61 | void Scale(double factor);
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| 62 | void MatrixMultiplication(const double *M);
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| 63 | double * InverseMatrix(double *A);
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| 64 | void InverseMatrixMultiplication(const double *M);
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| 65 | void KeepPeriodic(ofstream *out, double *matrix);
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| 66 | void LinearCombinationOfVectors(const Vector *x1, const Vector *x2, const Vector *x3, double *factors);
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| 67 | double CutsPlaneAt(Vector *A, Vector *B, Vector *C);
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| 68 | bool GetIntersectionWithPlane(ofstream *out, Vector *PlaneNormal, Vector *PlaneOffset, Vector *Origin, Vector *LineVector);
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| 69 | bool GetIntersectionOfTwoLinesOnPlane(ofstream *out, Vector *Line1a, Vector *Line1b, Vector *Line2a, Vector *Line2b, const Vector *Normal = NULL);
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| 70 | bool GetOneNormalVector(const Vector *x1);
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| 71 | bool MakeNormalVector(const Vector *y1);
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| 72 | bool MakeNormalVector(const Vector *y1, const Vector *y2);
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| 73 | bool MakeNormalVector(const Vector *x1, const Vector *x2, const Vector *x3);
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| 74 | bool SolveSystem(Vector *x1, Vector *x2, Vector *y, double alpha, double beta, double c);
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| 75 | bool LSQdistance(Vector **vectors, int dim);
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| 76 | void AskPosition(double *cell_size, bool check);
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| 77 | bool Output(ofstream *out) const;
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| 78 | bool IsInParallelepiped(Vector offset, double *parallelepiped);
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| 79 | void WrapPeriodically(const double *M, const double *Minv);
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| 80 | };
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| 81 |
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| 82 | ostream & operator << (ostream& ost, const Vector &m);
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| 83 | bool operator==(const Vector& a, const Vector& b);
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| 84 | Vector& operator+=(Vector& a, const Vector& b);
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| 85 | Vector& operator-=(Vector& a, const Vector& b);
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| 86 | Vector& operator*=(Vector& a, const double m);
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| 87 | Vector& operator*(const Vector& a, const double m);
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| 88 | Vector& operator*(const double m, const Vector& a);
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| 89 | Vector& operator+(const Vector& a, const Vector& b);
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| 90 | Vector& operator-(const Vector& a, const Vector& b);
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| 91 |
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| 92 | // some algebraic matrix stuff
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| 93 | #define RDET3(a) ((a)[0]*(a)[4]*(a)[8] + (a)[3]*(a)[7]*(a)[2] + (a)[6]*(a)[1]*(a)[5] - (a)[2]*(a)[4]*(a)[6] - (a)[5]*(a)[7]*(a)[0] - (a)[8]*(a)[1]*(a)[3]) //!< hard-coded determinant of a 3x3 matrix
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| 94 | #define RDET2(a0,a1,a2,a3) ((a0)*(a3)-(a1)*(a2)) //!< hard-coded determinant of a 2x2 matrix
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| 95 |
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| 96 |
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| 97 |
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| 98 | #endif /*VECTOR_HPP_*/
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