145 lines
6.5 KiB
C++
145 lines
6.5 KiB
C++
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#ifndef TWO_PUNCTURES_H
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#define TWO_PUNCTURES_H
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#define StencilSize 19
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#define N_PlaneRelax 1
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#define NRELAX 200
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#define Step_Relax 1
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#define Pi 3.14159265358979323846264338328
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#define Pih 1.57079632679489661923132169164 /* Pi/2*/
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#define Piq 0.78539816339744830961566084582 /* Pi/4*/
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#define TINY 1.0e-20
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class TwoPunctures
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{
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public:
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typedef struct DERIVS
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{
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double *d0, *d1, *d2, *d3, *d11, *d12, *d13, *d22, *d23, *d33;
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} derivs;
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double *F;
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derivs u, v;
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private:
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double par_m_plus, par_m_minus, par_b;
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double par_P_plus[3], par_P_minus[3];
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double par_S_plus[3], par_S_minus[3];
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int npoints_A, npoints_B, npoints_phi;
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double target_M_plus, target_M_minus;
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double admMass;
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double adm_tol;
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double Newton_tol;
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int Newton_maxit;
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int ntotal;
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struct parameters
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{
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int nvar, n1, n2, n3;
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double b;
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};
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public:
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TwoPunctures(double mp, double mm, double b, double P_plusx, double P_plusy, double P_plusz,
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double S_plusx, double S_plusy, double S_plusz,
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double P_minusx, double P_minusy, double P_minusz,
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double S_minusx, double S_minusy, double S_minusz,
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int nA, int nB, int nphi,
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double Mp, double Mm, double admtol, double Newtontol,
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int Newtonmaxit);
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~TwoPunctures();
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void Solve();
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void set_initial_guess(derivs v);
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int index(int i, int j, int k, int l, int a, int b, int c, int d);
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int *ivector(long nl, long nh);
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double *dvector(long nl, long nh);
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int **imatrix(long nrl, long nrh, long ncl, long nch);
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double **dmatrix(long nrl, long nrh, long ncl, long nch);
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double ***d3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh);
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void free_ivector(int *v, long nl, long nh);
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void free_dvector(double *v, long nl, long nh);
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void free_imatrix(int **m, long nrl, long nrh, long ncl, long nch);
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void free_dmatrix(double **m, long nrl, long nrh, long ncl, long nch);
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void free_d3tensor(double ***t, long nrl, long nrh, long ncl, long nch,
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long ndl, long ndh);
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int minimum2(int i, int j);
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int minimum3(int i, int j, int k);
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int maximum2(int i, int j);
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int maximum3(int i, int j, int k);
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int pow_int(int mantisse, int exponent);
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void chebft_Zeros(double u[], int n, int inv);
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void chebft_Extremes(double u[], int n, int inv);
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void chder(double *c, double *cder, int n);
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double chebev(double a, double b, double c[], int m, double x);
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void fourft(double *u, int N, int inv);
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void fourder(double u[], double du[], int N);
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void fourder2(double u[], double d2u[], int N);
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double fourev(double *u, int N, double x);
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double norm1(double *v, int n);
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double norm2(double *v, int n);
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double scalarproduct(double *v, double *w, int n);
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double PunctIntPolAtArbitPosition(int ivar, int nvar, int n1,
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int n2, int n3, derivs v, double x, double y,
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double z);
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double PunctEvalAtArbitPosition(double *v, int ivar, double A, double B, double phi,
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int nvar, int n1, int n2, int n3);
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void AB_To_XR(int nvar, double A, double B, double *X, double *R,
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derivs U);
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void C_To_c(int nvar, double X, double R, double *x, double *r,
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derivs U);
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void rx3_To_xyz(int nvar, double x, double r, double phi,
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double *y, double *z, derivs U);
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void Derivatives_AB3(int nvar, int n1, int n2, int n3, derivs v);
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void Newton(int const nvar, int const n1, int const n2, int const n3,
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derivs v, double const tol, int const itmax);
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void F_of_v(int nvar, int n1, int n2, int n3, derivs v, double *F,
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derivs u);
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double norm_inf(double const *F, int const ntotal);
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int bicgstab(int const nvar, int const n1, int const n2, int const n3,
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derivs v, derivs dv, int const itmax, double const tol,
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double *normres);
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void allocate_derivs(derivs *v, int n);
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void free_derivs(derivs *v, int n);
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int Index(int ivar, int i, int j, int k, int nvar, int n1, int n2, int n3);
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void NonLinEquations(double rho_adm, double A, double B, double X, double R, double x, double r, double phi,
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double y, double z, derivs U, double *values);
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double BY_KKofxyz(double x, double y, double z);
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void SetMatrix_JFD(int nvar, int n1, int n2, int n3, derivs u, int *ncols, int **cols, double **Matrix);
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void J_times_dv(int nvar, int n1, int n2, int n3, derivs dv, double *Jdv, derivs u);
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void relax(double *dv, int const nvar, int const n1, int const n2, int const n3,
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double const *rhs, int const *ncols, int **cols, double **JFD);
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void LineRelax_be(double *dv,
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int const i, int const k, int const nvar,
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int const n1, int const n2, int const n3,
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double const *rhs, int const *ncols, int **cols,
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double **JFD);
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void JFD_times_dv(int i, int j, int k, int nvar, int n1, int n2,
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int n3, derivs dv, derivs u, double *values);
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void LinEquations(double A, double B, double X, double R,
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double x, double r, double phi,
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double y, double z, derivs dU, derivs U, double *values);
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void LineRelax_al(double *dv,
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int const j, int const k, int const nvar,
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int const n1, int const n2, int const n3,
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double const *rhs, int const *ncols,
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int **cols, double **JFD);
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void ThomasAlgorithm(int N, double *b, double *a, double *c, double *x, double *q);
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void Save(char *fname);
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// provided by Vasileios Paschalidis (vpaschal@illinois.edu)
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double Spec_IntPolABphiFast(parameters par, double *v, int ivar, double A, double B, double phi);
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double Spec_IntPolFast(parameters par, int ivar, double *v, double x, double y, double z);
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void SpecCoef(parameters par, int ivar, double *v, double *cf);
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};
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#endif /* TWO_PUNCTURES_H */
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