gsl

Description:

A collection of numerical routines for scientific computing.

Home: http://www.gnu.org/software/gsl/manual/html_node/
C-Documentation: http://www.gnu.org/software/gsl/manual/html_node/

Content:

Namespaces:

Classes:

Structs:

Enums:

Delegates:

public delegate void ErrorHandler (string reason, string file, int line, int errno)
public delegate void* InterpAlloc (size_t size)
public delegate int InterpEval (void* t, double[] xa, double[] ya, size_t size, double x, unowned InterpAccel* i, out double y)
public delegate int InterpEvalDeriv (void* t, double[] xa, double[] ya, size_t size, double x, unowned InterpAccel* i, out double y_p)
public delegate int InterpEvalDeriv2 (void* t, double[] xa, double[] ya, size_t size, double x, unowned InterpAccel* i, out double y_pp)
public delegate int InterpEvalInteg (void* t, double[] xa, double[] ya, size_t size, unowned InterpAccel* i, double a, double b, out double result)
public delegate void InterpFree (void* t)
public delegate int InterpInit (void* t, double[] xa, double[] ya, size_t size)
public delegate int MinBracketingFunction (Function* f, double* x_minimum, double* f_minimum, double* x_lower, double* f_lower, double* x_upper, double* f_upper, size_t eval_max)
public delegate int MinIterate (void* state, Function* f, double* x_minimum, double* f_minimum, double* x_lower, double* f_lower, double* x_upper, double* f_upper)
public delegate int MinSet (void* state, Function* f, double xminimun, double f_minimum, double x_lower, double f_lower, double x_upper, double f_upper)
public delegate double MonteFunc (double[] x_array, size_t dim, void* @params)
public delegate int MultifitDf (Vector x, void* @params, Matrix df)
public delegate int MultifitF (Vector x, void* @params, Vector f)
public delegate int MultifitFAlloc (void* state, size_t n, size_t p)
public delegate void MultifitFFree (void* state)
public delegate int MultifitFIterate (void* state, MultifitFunction* function, Vector x, Vector f, Vector dx)
public delegate int MultifitFSet (void* state, MultifitFunction* function, Vector x, Vector f, Vector dx)
public delegate int MultifitFdf (Vector x, void* @params, Vector f, Matrix df)
public delegate int MultifitFdfAlloc (void* state, size_t n, size_t p)
public delegate void MultifitFdfFree (void* state)
public delegate int MultifitFdfIterate (void* state, MultifitFunctionFdf fdf, Vector x, Vector f, Matrix J, Vector dx)
public delegate int MultifitFdfSet (void* state, MultifitFunctionFdf fdf, Vector x, Vector f, Matrix J, Vector dx)
public delegate void MultiminDf (Vector x, void* @params, Vector df)
public delegate double MultiminF (Vector x, void* @params)
public delegate int MultiminFAlloc (void* state, size_t n)
public delegate int MultiminFFree (void* state)
public delegate int MultiminFIterate (void* state, MultiminFunction* f, Vector x, double* size, double* fval)
public delegate int MultiminFSet (void* state, MultiminFunction* f, Vector x, double* size)
public delegate void MultiminFdf (Vector x, void* @params, double* f, Vector df)
public delegate int MultiminFdfAlloc (void* state, size_t n)
public delegate int MultiminFdfFree (void* state)
public delegate int MultiminFdfIterate (void* state, MultiminFunctionFdf* fdf, Vector x, double* f, Vector gradient, Vector dx)
public delegate int MultiminFdfRestart (void* state)
public delegate int MultiminFdfSet (void* state, MultiminFunctionFdf* fdf, Vector x, double* f, Vector gradient, double step_size, double tol)
public delegate int MultirootDF (Vector x, void* @params, Matrix df)
public delegate int MultirootF (Vector x, void* @params, Vector f)
public delegate int MultirootFAlloc (void* state, size_t n)
public delegate int MultirootFDF (Vector x, void* @params, Vector f, Matrix df)
public delegate void MultirootFFree (void* state)
public delegate int MultirootFIterate (void* state, MultirootFunction* function, Vector x, Vector f, Vector dx)
public delegate int MultirootFSet (void* state, MultirootFunction* function, Vector x, Vector f, Vector dx)
public delegate int MultirootFdfAlloc (void* state, size_t n)
public delegate int MultirootFdfFree (void* state)
public delegate int MultirootFdfIterate (void* state, MultirootFunctionFdf* fdf, Vector x, Vector f, Matrix J, Vector dx)
public delegate int MultirootFdfSet (void* state, MultirootFunctionFdf* fdf, Vector x, Vector f, Matrix J, Vector dx)
public delegate int NTupleSelectFunc (void* ntuple_data, void* @params)
public delegate double NTupleValueFunc (void* ntuple_data, void* @params)
public delegate void* OdeivControlAlloc ()
public delegate void OdeivControlFree (void* state)
public delegate int OdeivControlHadjust (void* state, size_t dim, uint ord, double[] y, double[] yerr, double[] yp, double[] h)
public delegate int OdeivControlInit (void* state, double eps_abs, double eps_rel, double a_y, double a_dydt)
public delegate int OdeivFunction (double t, double[] y, double[] dydt, void* @params)
public delegate int OdeivJacobian (double t, double[] y, double[] dfdy, double[] dfdt, void* @params)
public delegate void* OdeivStepAlloc (size_t dim)
public delegate int OdeivStepApply (void* state, size_t dim, double t, double h, double[] y, double[] yerr, double[] dydt_in, double[] dydt_out, OdeivSystem* dydt)
public delegate void OdeivStepFree (void* state)
public delegate uint OdeivStepOrder (void* state)
public delegate int OdeivStepReset (void* state, size_t dim)
public delegate int QRNGGetState2 (void* state, uint dimension, out double x)
public delegate int QRNGInitState (void* state, uint dimension)
public delegate size_t QRNGStateSize (uint dimension)
public delegate double RNGGetDouble (void* state)
public delegate ulong RNGGetState (void* state)
public delegate void RNGSetState (void* state, ulong seed)
public delegate int RootFdfsolverIterate (void* state, FunctionFdf* d, double* root)
public delegate int RootFdfsolverSet (void* state, FunctionFdf* f, double* root)
public delegate int RootFsolverIterate (void* state, Function* f, double* root, double* x_lower, double* x_upper)
public delegate int RootFsolverSet (void* state, Function* f, double* root, double x_lower, double x_upper)
public delegate void StreamHandler (string label, string file, int line, string reason)
public delegate int WaveletInit (double** h1, double** g1, double** h2, double** g2, size_t* nc, size_t* offset, size_t member)
public delegate double _Function (double x, void* @params)
public delegate void _FunctionFdf (double x, void* @params, out double f, out double df)

Methods:

public int find_bracket (Function* f, double* x_minimum, double* f_minimum, double* x_lower, double* f_lower, double* x_upper, double* f_upper, size_t eval_max)
public int multimin_diff (MultiminFunction* f, Vector x, Vector g)
public int multiroot_fdjacobian (MultirootFunction* F, Vector x, Vector f, double epsrel, Matrix jacobian)

Airy

Methods:

public double Ai (double x, Mode mode)
public double Ai_deriv (double x, Mode mode)
public int Ai_deriv_e (double x, Mode mode, out Result result)
public double Ai_deriv_scaled (double x, Mode mode)
public int Ai_deriv_scaled_e (double x, Mode mode, out Result result)
public int Ai_e (double x, Mode mode, out Result result)
public double Ai_scaled (double x, Mode mode)
public int Ai_scaled_e (double x, Mode mode, out Result result)
public double Bi (double x, Mode mode)
public double Bi_deriv (double x, Mode mode)
public int Bi_deriv_e (double x, Mode mode, out Result result)
public double Bi_deriv_scaled (double x, Mode mode)
public int Bi_deriv_scaled_e (double x, Mode mode, out Result result)
public int Bi_e (double x, Mode mode, out Result result)
public double Bi_scaled (double x, Mode mode)
public int Bi_scaled_e (double x, Mode mode, out Result result)
public double zero_Ai (uint s)
public double zero_Ai_deriv (uint s)
public int zero_Ai_deriv_e (uint s, out Result result)
public int zero_Ai_e (uint s, out Result result)
public double zero_Bi (uint s)
public double zero_Bi_deriv (uint s)
public int zero_Bi_deriv_e (uint s, out Result result)
public int zero_Bi_e (uint s, out Result result)

Bessel

Methods:

public double I0 (double x)
public int I0_e (double x, out Result result)
public double I0_scaled (double x)
public int I0_scaled_e (double x, out Result result)
public double I1 (double x)
public int I1_e (double x, out Result result)
public double I1_scaled (double x)
public int I1_scaled_e (double x, out Result result)
public double In (int n, double x)
public int In_array (int nmin, int nmax, double x, double[] result_array)
public int In_e (int n, double x, out Result result)
public double In_scaled (int n, double x)
public int In_scaled_array (int nmin, int nmax, double x, double[] result_array)
public int In_scaled_e (int n, double x, out Result result)
public double Inu (double nu, double x)
public int Inu_e (double nu, double x, out Result result)
public double Inu_scaled (double nu, double x)
public int Inu_scaled_e (double nu, double x, out Result result)
public double J0 (double x)
public int J0_e (double x, out Result result)
public double J1 (double x)
public int J1_e (double x, out Result result)
public double Jn (int n, double x)
public int Jn_array (int nmin, int nmax, double x, double[] result_array)
public int Jn_e (int n, double x, out Result result)
public double Jnu (double nu, double x)
public int Jnu_e (double nu, double x, out Result result)
public double K0 (double x)
public int K0_e (double x, out Result result)
public double K0_scaled (double x)
public int K0_scaled_e (double x, out Result result)
public double K1 (double x)
public int K1_e (double x, out Result result)
public double K1_scaled (double x)
public int K1_scaled_e (double x, out Result result)
public double Kn (int n, double x)
public int Kn_array (int nmin, int nmax, double x, double[] result_array)
public int Kn_e (int n, double x, out Result result)
public double Kn_scaled (int n, double x)
public int Kn_scaled_array (int nmin, int nmax, double x, double[] result_array)
public int Kn_scaled_e (int n, double x, out Result result)
public double Knu (double nu, double x)
public int Knu_e (double nu, double x, out Result result)
public double Knu_scaled (double nu, double x)
public int Knu_scaled_e (double nu, double x, out Result result)
public double Y0 (double x)
public int Y0_e (double x, out Result result)
public double Y1 (double x)
public int Y1_e (double x, out Result result)
public double Yn (int n, double x)
public int Yn_array (int nmin, int nmax, double x, double[] result_array)
public int Yn_e (int n, double x, out Result result)
public double Ynu (double nu, double x)
public int Ynu_e (double nu, double x, out Result result)
public double i0_scaled (double x)
public int i0_scaled_e (double x, out Result result)
public double i1_scaled (double x)
public int i1_scaled_e (double x, out Result result)
public double i2_scaled (double x)
public int i2_scaled_e (double x, out Result result)
public double il_scaled (int l, double x)
public int il_scaled_array (int lmax, double x, double[] result_array)
public int il_scaled_e (int l, double x, out Result result)
public double j0 (double x)
public int j0_e (double x, out Result result)
public double j1 (double x)
public int j1_e (double x, out Result result)
public double j2 (double x)
public int j2_e (double x, out Result result)
public double jl (int l, double x)
public int jl_array (int lmax, double x, double[] result_array)
public int jl_e (int l, double x, out Result result)
public int jl_steed_array (int lmax, double x, double[] jl_x_array)
public double k0_scaled (double x)
public int k0_scaled_e (double x, out Result result)
public double k1_scaled (double x)
public int k1_scaled_e (double x, out Result result)
public double k2_scaled (double x)
public int k2_scaled_e (double x, out Result result)
public double kl_scaled (int l, double x)
public int kl_scaled_array (int lmax, double x, double[] result_array)
public int kl_scaled_e (int l, double x, out Result result)
public double lnKnu (double nu, double x)
public int lnKnu_e (double nu, double x, out Result result)
public int sequence_Jnu_e (double nu, Mode mode, size_t size, double[] v)
public double y0 (double x)
public int y0_e (double x, out Result result)
public double y1 (double x)
public int y1_e (double x, out Result result)
public double y2 (double x)
public int y2_e (double x, out Result result)
public double yl (int l, double x)
public int yl_array (int lmax, double x, double[] result_array)
public int yl_e (int l, double x, out Result result)
public double zero_J0 (uint s)
public int zero_J0_e (uint s, out Result result)
public double zero_J1 (uint s)
public int zero_J1_e (uint s, out Result result)
public double zero_Jnu (double nu, uint s)
public int zero_Jnu_e (double nu, uint s, out Result result)

Blas

Enums:

Methods:

public double dasum (Vector X)
public int daxpy (double alpha, Vector X, Vector Y)
public int dcopy (Vector X, Vector Y)
public int ddot (Vector X, Vector Y, out double result)
public int dgemm (Transpose transA, Transpose transB, double alpha, Matrix A, Matrix B, double beta, Matrix C)
public int dgemv (Transpose transA, double alpha, Matrix A, Vector X, double beta, Vector Y)
public int dger (double alpha, Vector X, Vector Y, Matrix A)
public double dnrm2 (Vector X)
public int drot (Vector X, Vector Y, double c, double s)
public int drotg (double[] a, double[] b, double[] c, double[] s)
public int drotm (Vector X, Vector Y, double[] P)
public int drotmg (double[] d1, double[] d2, double[] b1, double b2, double[] P)
public void dscal (double alpha, Vector X)
public int dswap (Vector X, Vector Y)
public int dsymm (Side side, Uplo uplo, double alpha, Matrix A, Matrix B, double beta, Matrix C)
public int dsymv (Uplo uplo, double alpha, Matrix A, Vector X, double beta, Vector Y)
public int dsyr (Uplo uplo, double alpha, Vector X, Matrix A)
public int dsyr2 (Uplo uplo, double alpha, Vector X, Vector Y, Matrix A)
public int dsyr2k (Uplo uplo, Transpose trans, double alpha, Matrix A, Matrix B, double beta, Matrix C)
public int dsyrk (Uplo uplo, Transpose trans, double alpha, Matrix A, double beta, Matrix C)
public int dtrmm (Side side, Uplo uplo, Transpose transA, Diag diag, double alpha, Matrix A, Matrix B)
public int dtrmv (Uplo uplo, Transpose transA, Diag diag, Matrix A, Vector X)
public int dtrsm (Side side, Uplo uplo, Transpose transA, Diag diag, double alpha, Matrix A, Matrix B)
public int dtrsv (Uplo uplo, Transpose transA, Diag diag, Matrix A, Vector X)
public double dzasum (VectorComplex X)
public double dznrm2 (VectorComplex X)
public size_t idamax (Vector X)
public size_t izamax (VectorComplex X)
public int zaxpy (Complex alpha, VectorComplex X, VectorComplex Y)
public int zcopy (VectorComplex X, VectorComplex Y)
public int zdotc (VectorComplex X, VectorComplex Y, out Complex result)
public int zdotu (VectorComplex X, VectorComplex Y, out Complex result)
public void zdscal (double alpha, VectorComplex X)
public int zgemm (Transpose transA, Transpose transB, Complex alpha, MatrixComplex A, MatrixComplex B, Complex beta, MatrixComplex C)
public int zgemv (Transpose transA, Complex alpha, MatrixComplex A, VectorComplex X, Complex beta, VectorComplex Y)
public int zgerc (Complex alpha, VectorComplex X, VectorComplex Y, MatrixComplex A)
public int zgeru (Complex alpha, VectorComplex X, VectorComplex Y, MatrixComplex A)
public int zhemm (Side side, Uplo uplo, Complex alpha, MatrixComplex A, MatrixComplex B, Complex beta, MatrixComplex C)
public int zhemv (Uplo uplo, Complex alpha, MatrixComplex A, VectorComplex X, Complex beta, VectorComplex Y)
public int zher (Uplo uplo, double alpha, VectorComplex X, MatrixComplex A)
public int zher2 (Uplo uplo, Complex alpha, VectorComplex X, VectorComplex Y, MatrixComplex A)
public int zher2k (Uplo uplo, Transpose trans, Complex alpha, MatrixComplex A, MatrixComplex B, double beta, MatrixComplex C)
public int zherk (Uplo uplo, Transpose trans, double alpha, MatrixComplex A, double beta, MatrixComplex C)
public void zscal (Complex alpha, VectorComplex X)
public int zswap (VectorComplex X, VectorComplex Y)
public int zsymm (Side side, Uplo uplo, Complex alpha, MatrixComplex A, MatrixComplex B, Complex beta, MatrixComplex C)
public int zsyr2k (Uplo uplo, Transpose trans, Complex alpha, MatrixComplex A, MatrixComplex B, Complex beta, MatrixComplex C)
public int zsyrk (Uplo uplo, Transpose trans, Complex alpha, MatrixComplex A, Complex beta, MatrixComplex C)
public int ztrmm (Side side, Uplo uplo, Transpose transA, Diag diag, Complex alpha, MatrixComplex A, MatrixComplex B)
public int ztrmv (Uplo uplo, Transpose transA, Diag diag, MatrixComplex A, VectorComplex X)
public int ztrsm (Side side, Uplo uplo, Transpose transA, Diag diag, Complex alpha, MatrixComplex A, MatrixComplex B)
public int ztrsv (Uplo uplo, Transpose transA, Diag diag, MatrixComplex A, VectorComplex X)

Methods:

public double beta_P (double x, double a, double b)
public double beta_Pinv (double P, double a, double b)
public double beta_Q (double x, double a, double b)
public double beta_Qinv (double Q, double a, double b)
public double binomial_P (uint k, double p, uint n)
public double binomial_Q (uint k, double p, uint n)
public double cauchy_P (double x, double a)
public double cauchy_Pinv (double P, double a)
public double cauchy_Q (double x, double a)
public double cauchy_Qinv (double Q, double a)
public double chisq_P (double x, double nu)
public double chisq_Pinv (double P, double nu)
public double chisq_Q (double x, double nu)
public double chisq_Qinv (double Q, double nu)
public double exponential_P (double x, double mu)
public double exponential_Pinv (double P, double mu)
public double exponential_Q (double x, double mu)
public double exponential_Qinv (double Q, double mu)
public double exppow_P (double x, double a, double b)
public double exppow_Q (double x, double a, double b)
public double fdist_P (double x, double nu1, double nu2)
public double fdist_Pinv (double P, double nu1, double nu2)
public double fdist_Q (double x, double nu1, double nu2)
public double fdist_Qinv (double Q, double nu1, double nu2)
public double flat_P (double x, double a, double b)
public double flat_Pinv (double P, double a, double b)
public double flat_Q (double x, double a, double b)
public double flat_Qinv (double Q, double a, double b)
public double gamma_P (double x, double a, double b)
public double gamma_Pinv (double P, double a, double b)
public double gamma_Q (double x, double a, double b)
public double gamma_Qinv (double Q, double a, double b)
public double gaussian_P (double x, double sigma)
public double gaussian_Pinv (double P, double sigma)
public double gaussian_Q (double x, double sigma)
public double gaussian_Qinv (double Q, double sigma)
public double geometric_P (uint k, double p)
public double geometric_Q (uint k, double p)
public double gumbel1_P (double x, double a, double b)
public double gumbel1_Pinv (double P, double a, double b)
public double gumbel1_Q (double x, double a, double b)
public double gumbel1_Qinv (double Q, double a, double b)
public double gumbel2_P (double x, double a, double b)
public double gumbel2_Pinv (double P, double a, double b)
public double gumbel2_Q (double x, double a, double b)
public double gumbel2_Qinv (double Q, double a, double b)
public double hypergeometric_P (uint k, uint n1, uint n2, uint t)
public double hypergeometric_Q (uint k, uint n1, uint n2, uint t)
public double laplace_P (double x, double a)
public double laplace_Pinv (double P, double a)
public double laplace_Q (double x, double a)
public double laplace_Qinv (double Q, double a)
public double logistic_P (double x, double a)
public double logistic_Pinv (double P, double a)
public double logistic_Q (double x, double a)
public double logistic_Qinv (double Q, double a)
public double lognormal_P (double x, double zeta, double sigma)
public double lognormal_Pinv (double P, double zeta, double sigma)
public double lognormal_Q (double x, double zeta, double sigma)
public double lognormal_Qinv (double Q, double zeta, double sigma)
public double negative_binomial_P (uint k, double p, double n)
public double negative_binomial_Q (uint k, double p, double n)
public double pareto_P (double x, double a, double b)
public double pareto_Pinv (double P, double a, double b)
public double pareto_Q (double x, double a, double b)
public double pareto_Qinv (double Q, double a, double b)
public double pascal_P (uint k, double p, uint n)
public double pascal_Q (uint k, double p, uint n)
public double poisson_P (uint k, double mu)
public double poisson_Q (uint k, double mu)
public double rayleigh_P (double x, double sigma)
public double rayleigh_Pinv (double P, double sigma)
public double rayleigh_Q (double x, double sigma)
public double rayleigh_Qinv (double Q, double sigma)
public double tdist_P (double x, double nu)
public double tdist_Pinv (double P, double nu)
public double tdist_Q (double x, double nu)
public double tdist_Qinv (double Q, double nu)
public double ugaussian_P (double x)
public double ugaussian_Pinv (double P)
public double ugaussian_Q (double x)
public double ugaussian_Qinv (double Q)
public double weibull_P (double x, double a, double b)
public double weibull_Pinv (double P, double a, double b)
public double weibull_Q (double x, double a, double b)
public double weibull_Qinv (double Q, double a, double b)

Clausen

Methods:

public double clausen (double x)
public int clausen_e (double x, out Result result)

Coulomb

Methods:

public int CL_array (double lmin, int kmax, double eta, double[] cl)
public int CL_e (double l, double eta, out Result result)

CoulombWave

Methods:

public int FG_array (double l_min, int kmax, double eta, double x, double[] fc_array, double[] gc_array, out double f_exponent, out double g_exponent)
public int FG_e (double eta, double x, double l_f, int k, out Result f, out Result fp, out Result g, out Result gp, out double exp_f, out double exp_g)
public int FGp_array (double l_min, int kmax, double eta, double x, double[] fc_array, double[] fcp_array, double[] gc_array, double[] gcp_array, out double f_exponent, out double g_exponent)
public int F_array (double l_min, int kmax, double eta, double x, double[] fc_array, out double f_exponent)
public int sphF_array (double l_min, int kmax, double eta, double x, double[] fc_array, double[] f_exponent)

Coupling

Methods:

public double @3j (int two_ja, int two_jb, int two_jc, int two_ma, int two_mb, int two_mc)
public int @3j_e (int two_ja, int two_jb, int two_jc, int two_ma, int two_mb, int two_mc, out Result result)
public double @6j (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf)
public int @6j_e (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf, out Result result)
public double @9j (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf, int two_jg, int two_jh, int two_ji)
public int @9j_e (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf, int two_jg, int two_jh, int two_ji, out Result result)

Dawson

Methods:

public double dawson (double x)
public int dawson_e (double x, out Result result)

Debye

Methods:

public double D1 (double x)
public int D1_e (double x, out Result result)
public double D2 (double x)
public int D2_e (double x, out Result result)
public double D3 (double x)
public int D3_e (double x, out Result result)
public double D4 (double x)
public int D4_e (double x, out Result result)
public double D5 (double x)
public int D5_e (double x, out Result result)
public double D6 (double x)
public int D6_e (double x, out Result result)

Deriv

Methods:

public int backward (Function* f, double x, double h, out double result, out double abserr)
public int central (Function* f, double x, double h, out double result, out double abserr)
public int forward (Function* f, double x, double h, out double result, out double abserr)

Dilog

Methods:

public int complex_dilog_e (double r, double theta, out Result result_re, out Result result_im)
public double dilog (double x)
public int dilog_e (double x, out Result result)

EigenSort

Methods:

public int genhermv_sort (Vector eval, MatrixComplex evec, EigenSortType sort_type)
public int gensymmv_sort (Vector eval, Matrix evec, EigenSortType sort_type)
public int genv_sort (VectorComplex alpha, Vector beta, MatrixComplex evec, EigenSortType sort_type)
public int hermv_sort (Vector eval, MatrixComplex evec, EigenSortType sort_type)
public int nonsymmv_sort (VectorComplex eval, MatrixComplex evec, EigenSortType sort_type)
public int symmv_sort (Vector eval, Matrix evec, EigenSortType sort_type)

EllInt

Methods:

public double D (double phi, double k, Mode mode)
public int D_e (double phi, double k, Mode mode, out Result result)
public double E (double phi, double k, Mode mode)
public int E_e (double phi, double k, Mode mode, out Result result)
public double Ecomp (double k, Mode mode)
public int Ecomp_e (double k, Mode mode, out Result result)
public double F (double phi, double k, Mode mode)
public int F_e (double phi, double k, Mode mode, out Result result)
public double Kcomp (double k, Mode mode)
public int Kcomp_e (double k, Mode mode, out Result result)
public double P (double phi, double k, double n, Mode mode)
public int P_e (double phi, double k, double n, Mode mode, out Result result)
public double Pcomp (double k, double n, Mode mode)
public int Pcomp_e (double k, double n, Mode mode, out Result result)
public double RC (double x, double y, Mode mode)
public int RC_e (double x, double y, Mode mode, out Result result)
public double RD (double x, double y, double z, Mode mode)
public int RD_e (double x, double y, double z, Mode mode, out Result result)
public double RF (double x, double y, double z, Mode mode)
public int RF_e (double x, double y, double z, Mode mode, out Result result)
public double RJ (double x, double y, double z, double p, Mode mode)
public int RJ_e (double x, double y, double z, double p, Mode mode, out Result result)

EllJac

Methods:

public int e (double u, double m, out double sn, out double cn, out double dn)

Methods:

public double erf (double x)
public double erf_Q (double x)
public int erf_Q_e (double x, out Result result)
public double erf_Z (double x)
public int erf_Z_e (double x, out Result result)
public int erf_e (double x, out Result result)
public double erfc (double x)
public int erfc_e (double x, out Result result)
public double hazard (double x)
public int hazard_e (double x, out Result result)
public double log_erfc (double x)
public int log_erfc_e (double x, out Result result)

Error

Methods:

public void error (string reason, string file, int line, int errno)
public ErrorHandler set_error_handler (ErrorHandler? new_handler)
public ErrorHandler set_error_handler_off ()
public unowned string strerror (int errno)

Methods:

public double exp (double x)
public int exp_e (double x, out Result result)
public int exp_e10_e (double x, out ResultE10 result)
public int exp_err_e (double x, double dx, out Result result)
public int exp_err_e10_e (double x, double dx, out ResultE10 result)
public double exp_mult (double x, double y)
public int exp_mult_e (double x, double y, out Result result)
public int exp_mult_e10_e (double x, double y, out ResultE10 result)
public int exp_mult_err_e (double x, double dx, double y, double dy, out Result result)
public int exp_mult_err_e10_e (double x, double dx, double y, double dy, out ResultE10 result)
public double expm1 (double x)
public int expm1_e (double x, out Result result)
public double exprel (double x)
public double exprel_2 (double x)
public int exprel_2_e (double x, out Result result)
public int exprel_e (double x, out Result result)
public double exprel_n (int n, double x)
public int exprel_n_e (int n, double x, out Result result)

Expint

Methods:

public double Chi (double x)
public int Chi_e (double x, out Result result)
public double Ci (double x)
public int Ci_e (double x, out Result result)
public double Shi (double x)
public int Shi_e (double x, out Result result)
public double Si (double x)
public int Si_e (double x, out Result result)
public double atanint (double x)
public double atanint_e (double x, out Result result)
public double expint_3 (double x)
public int expint_3_e (double x, out Result result)
public double expint_E1 (double x)
public int expint_E1_e (double x, out Result result)
public double expint_E2 (double x)
public int expint_E2_e (double x, out Result result)
public double expint_Ei (double x)
public int expint_Ei_e (double x, out Result result)
public double expint_En (int n, double x)
public int expint_En_e (int n, double x, out Result result)

FFTComplex

Methods:

public int backward (double[] data, size_t stride, size_t n, FFTComplexWavetable wavetable, FFTComplexWorkspace work)
public int forward (double[] data, size_t stride, size_t n, FFTComplexWavetable wavetable, FFTComplexWorkspace work)
public int inverse (double[] data, size_t stride, size_t n, FFTComplexWavetable wavetable, FFTComplexWorkspace work)
public int radix2_backward (double[] data, size_t stride, size_t n)
public int radix2_dif_backward (double[] data, size_t stride, size_t n)
public int radix2_dif_forward (double[] data, size_t stride, size_t n)
public int radix2_dif_inverse (double[] data, size_t stride, size_t n)
public int radix2_dif_transform (double[] data, size_t stride, size_t n, FFTDirection sign)
public int radix2_forward (double[] data, size_t stride, size_t n)
public int radix2_inverse (double[] data, size_t stride, size_t n)
public int radix2_transform (double[] data, size_t stride, size_t n, FFTDirection sign)
public int transform (double[] data, size_t stride, size_t n, FFTComplexWavetable wavetable, FFTComplexWorkspace work, FFTDirection sign)

FFTHalfcomplex

Methods:

public int backward (double[] data, size_t stride, size_t n, FFTHalfcomplexWavetable wavetable, FFTRealWorkspace work)
public int inverse (double[] data, size_t stride, size_t n, FFTHalfcomplexWavetable wavetable, FFTRealWorkspace work)
public int radix2_backward (double[] data, size_t stride, size_t n)
public int radix2_inverse (double[] data, size_t stride, size_t n)
public int radix2_transform (double[] data, size_t stride, size_t n)
public int radix2_unpack (double[] halfcomplex_coefficient, double[] complex_coefficient, size_t stride, size_t n)
public int transform (double[] data, size_t stride, size_t n, FFTHalfcomplexWavetable wavetable, FFTRealWorkspace work)
public int unpack (double[] halfcomplex_coefficient, double[] complex_coefficient, size_t stride, size_t n)

FFTReal

Methods:

public int radix2_transform (double[] data, size_t stride, size_t n)
public int transform (double[] data, size_t stride, size_t n, FFTRealWavetable wavetable, FFTRealWorkspace work)
public int unpack (double[] real_coefficient, double[] complex_coeficient, size_t stride, size_t n)

FermiDirac

Methods:

public double @3half (double x)
public int @3half_e (double x, out Result result)
public double F0 (double x)
public int F0_e (double x, out Result result)
public double F1 (double x)
public int F1_e (double x, out Result result)
public double F2 (double x)
public int F2_e (double x, out Result result)
public double Fint (int j, double x)
public int Fint_e (int j, double x, out Result result)
public double half (double x)
public int half_e (double x, out Result result)
public double inc_0 (double x, double b)
public int inc_0_e (double x, double b, out Result result)
public double m1 (double x)
public int m1_e (double x, out Result result)
public double mhalf (double x)
public int mhalf_e (double x, out Result result)

Methods:

public int linear (double[] x, size_t xstride, double[] y, size_t ystride, size_t n, out double c0, out double c1, out double cov00, out double cov01, out double cov11, out double sumsq)
public int linear_est (double x, double c0, double c1, double cov00, double cov01, double cov11, out double y, out double y_err)
public int mul (double[] x, size_t xstride, double[] y, size_t ystride, size_t n, out double c1, out double cov11, out double sumsq)
public int mul_est (double x, double c1, double cov11, out double y, out double y_err)
public int wlinear (double[] x, size_t xstride, double[] w, size_t wstride, double[] y, size_t ystride, size_t n, out double c0, out double c1, out double cov00, out double cov01, out double cov11, out double chisq)
public int wmul (double[] x, size_t xstride, double[] w, size_t wstride, double[] y, size_t ystride, size_t n, out double c1, out double cov11, out double sumsq)

GammaBeta

Methods:

public double beta (double a, double b)
public int beta_e (double a, double b, out Result result)
public double beta_inc (double a, double b, double x)
public int beta_inc_e (double a, double b, double x, out Result result)
public double choose (uint n, uint m)
public int choose_e (uint n, uint m, out Result result)
public double doublefact (uint n)
public int doublefact_e (uint n, out Result result)
public double fact (uint n)
public int fact_e (uint n, out Result result)
public double gamma (double x)
public int gamma_e (double x, out Result result)
public double gamma_inc (double a, double x)
public double gamma_inc_P (double a, double x)
public int gamma_inc_P_e (double a, double x, out Result result)
public double gamma_inc_Q (double a, double x)
public int gamma_inc_Q_e (double a, double x, out Result result)
public int gamma_inc_e (double a, double x, out Result result)
public double gammainv (double x)
public int gammainv_e (double x, out Result result)
public double gammastar (double x)
public int gammastar_e (double x, out Result result)
public double lnbeta (double a, double b)
public int lnbeta_e (double a, double b, out Result result)
public double lnchoose (uint n, uint m)
public int lnchoose_e (uint n, uint m, out Result result)
public double lndoublefact (uint n)
public int lndoublefact_e (uint n, out Result result)
public double lnfact (uint n)
public int lnfact_e (uint n, out Result result)
public double lngamma (double x)
public int lngamma_complex_e (double zr, double zi, out Result lnr, out Result arg)
public int lngamma_e (double x, out Result result)
public int lngamma_sgn_e (double x, out Result result, out double sgn)
public double lnpoch (double a, double x)
public int lnpoch_e (double a, double x, out Result result)
public int lnpoch_sgn_e (double a, double x, out Result result, out double sgn)
public double poch (double a, double x)
public int poch_e (double a, double x, out Result result)
public double pochrel (double a, double x)
public int pochrel_e (double a, double x, out Result result)
public double taylorcoeff (int n, double x)
public int taylorcoeff_e (int n, double x, out Result result)

GegenPoly

Methods:

public double C1 (double lambda, double x)
public double C1_e (double lambda, double x, out Result result)
public double C2 (double lambda, double x)
public double C2_e (double lambda, double x, out Result result)
public double C3 (double lambda, double x)
public double C3_e (double lambda, double x, out Result result)
public double Cn (int n, double lambda, double x)
public double Cn_e (int n, double lambda, double x, out Result result)
public int array (int nmax, double lambda, double x, double[] result_array)

Hydrogenic

Methods:

public double hydrogenicR (int n, int l, double z, double r)
public double hydrogenicR_1 (double z, double r)
public int hydrogenicR_1_e (double z, double r, out Result result)
public int hydrogenicR_e (int n, int l, double z, double r, out Result result)

Hyperg

Methods:

public double @0F1 (double c, double x)
public int @0F1_e (double c, double x, out Result result)
public double @1F1 (double a, double b, double x)
public int @1F1_e (double a, double b, double x, out Result result)
public double @1F1_int (int m, int n, double x)
public int @1F1_int_e (int m, int n, double x, out Result result)
public double @2F0 (double a, double b, double x)
public int @2F0_e (double a, double b, double x, out Result result)
public double @2F1 (double a, double b, double c, double x)
public double @2F1_conj (double aR, double aI, double c, double x)
public int @2F1_conj_e (double aR, double aI, double c, double x, out Result result)
public double @2F1_conj_renorm (double aR, double aI, double c, double x)
public int @2F1_conj_renorm_e (double aR, double aI, double c, double x, out Result result)
public int @2F1_e (double a, double b, double c, double x, out Result result)
public double @2F1_renorm (double a, double b, double c, double x)
public int @2F1_renorm_e (double a, double b, double c, double x, out Result result)
public double U (double a, double b, double x)
public int U_e (double a, double b, double x, out Result result)
public int U_e10_e (double a, double b, double x, out ResultE10 result)
public double U_int (int m, int n, double x)
public int U_int_e (int m, int n, double x, out Result result)
public int U_int_e10_e (int m, int n, double x, out ResultE10 result)

Integration

Methods:

public int qag (Function* f, double a, double b, double epsabs, double epsrel, size_t limit, int key, IntegrationWorkspace workspace, out double result, out double abserr)
public int qagi (Function* f, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, out double result, out double abserr)
public int qagil (Function* f, double b, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, out double result, out double abserr)
public int qagiu (Function* f, double a, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, out double result, out double abserr)
public int qagp (Function* f, double[] pts, size_t npts, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, out double result, out double abserr)
public int qags (Function* f, double a, double b, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, out double result, out double abserr)
public int qawc (Function* f, double a, double b, double c, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, out double result, out double abserr)
public int qawf (Function* f, double a, double epsabs, size_t limit, IntegrationWorkspace workspace, IntegrationWorkspace cycle_workspace, IntegrationQAWOTable wf, out double result, out double abserr)
public int qawo (Function* f, double a, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, IntegrationQAWOTable wf, out double result, out double abserr)
public int qaws (Function* f, double a, double b, IntegrationQAWSTable t, double epsabs, double epsrel, size_t limit, IntegrationWorkspace workspace, out double result, out double abserr)
public void qcheb (Function* f, double a, double b, out double cheb12, out double cheb24)
public void qk (int n, double[] xgk, double[] wg, double[] wgk, double[] fv1, double[] fv2, Function* f, double a, double b, out double result, out double abserr, out double resabs, out double resasc)
public void qk15 (Function* f, double a, double b, out double result, out double abserr, out double resabs, out double resasc)
public void qk21 (Function* f, double a, double b, out double result, out double abserr, out double resabs, out double resasc)
public void qk31 (Function* f, double a, double b, out double result, out double abserr, out double resabs, out double resasc)
public void qk41 (Function* f, double a, double b, out double result, out double abserr, out double resabs, out double resasc)
public void qk51 (Function* f, double a, double b, out double result, out double abserr, out double resabs, out double resasc)
public void qk61 (Function* f, double a, double b, out double result, out double abserr, out double resabs, out double resasc)
public int qng (Function* f, double a, double b, double epsabs, double epsrel, out double result, out double abserr, out size_t neval)

InterpTypes

Fields:

public InterpType* akima
public InterpType* akima_periodic
public InterpType* cspline
public InterpType* cspline_periodic
public InterpType* linear
public InterpType* polynomial

Laguerre

Methods:

public double L1 (double a, double x)
public double L1_e (double a, double x, out Result result)
public double L2 (double a, double x)
public double L2_e (double a, double x, out Result result)
public double L3 (double a, double x)
public double L3_e (double a, double x, out Result result)
public double Ln (int n, double a, double x)
public double Ln_e (int n, double a, double x, out Result result)

Lambert

Methods:

public double W0 (double x)
public int W0_e (double x, out Result result)
public double Wm1 (double x)
public int Wm1_e (double x, out Result result)

LegendrePoly

Methods:

public double H3d (int l, double lambda, double eta)
public double H3d_0 (double lambda, double eta)
public int H3d_0_e (double lambda, double eta, out Result result)
public double H3d_1 (double lambda, double eta)
public int H3d_1_e (double lambda, double eta, out Result result)
public int H3d_array (int lmax, double lambda, double eta, double[] result_array)
public int H3d_e (int l, double lambda, double eta, out Result result)
public double P1 (double x)
public int P1_e (double x, out Result result)
public double P2 (double x)
public int P2_e (double x, out Result result)
public double P3 (double x)
public int P3_e (double x, out Result result)
public double Pl (int l, double x)
public int Pl_array (int lmax, double x, double[] result_array)
public int Pl_deriv_array (int lmax, double x, double[] result_array, double[] result_deriv_array)
public int Pl_e (int l, double x, out Result result)
public double Plm (int l, int m, double x)
public int Plm_array (int lmax, int m, double x, double[] result_array)
public int Plm_deriv_array (int lmax, int m, double x, double[] result_array, double[] result_deriv_array)
public int Plm_e (int l, int m, double x, out Result result)
public double Q0 (double x)
public int Q0_e (double x, out Result result)
public double Q1 (double x)
public int Q1_e (double x, out Result result)
public double Ql (int l, double x)
public int Ql_e (int l, double x, out Result result)
public int array_size (int lmax, int m)
public double conicalP_0 (double lambda, double x)
public int conicalP_0_e (double lambda, double x, out Result result)
public double conicalP_1 (double lambda, double x)
public int conicalP_1_e (double lambda, double x, out Result result)
public double conicalP_cyl_reg (int m, double lambda, double x)
public int conicalP_cyl_reg_e (int m, double lambda, double x, out Result result)
public double conicalP_half (double lambda, double x)
public int conicalP_half_e (double lambda, double x, out Result result)
public double conicalP_mhalf (double lambda, double x)
public int conicalP_mhalf_e (double lambda, double x, out Result result)
public double conicalP_sph_reg (int l, double lambda, double x)
public int conicalP_sph_reg_e (int l, double lambda, double x, out Result result)
public double sphPlm (int l, int m, double x)
public int sphPlm_array (int lmax, int m, double x, double[] result_array)
public int sphPlm_deriv_array (int lmax, int m, double x, double[] result_array, double[] result_deriv_array)
public int sphPlm_e (int l, int m, double x, out Result result)

LinAlg

Methods:

public int HH_solve (Matrix A, Vector b, Vector x)
public int HH_svx (Matrix A, Vector x)
public int LU_decomp (Matrix A, Permutation p, out int signum)
public double LU_det (Matrix LU, int signum)
public int LU_invert (Matrix LU, Permutation p, Matrix inverse)
public double LU_lndet (Matrix LU)
public int LU_refine (Matrix A, Matrix LU, Permutation p, Vector b, Vector x, Vector residual)
public int LU_sgndet (Matrix LU, int signum)
public int LU_solve (Matrix LU, Permutation p, Vector b, Vector x)
public int LU_svx (Matrix LU, Permutation p, Vector x)
public int QRPT_QRsolve (Matrix Q, Matrix R, Permutation p, Vector b, Vector x)
public int QRPT_Rsolve (Matrix QR, Permutation p, Vector b, Vector x)
public int QRPT_Rsvx (Matrix QR, Permutation p, Vector x)
public int QRPT_decomp (Matrix A, Vector tau, Permutation p, out int signum, Vector norm)
public int QRPT_decomp2 (Matrix A, Matrix q, Matrix r, Vector tau, Permutation p, out int signum, Vector norm)
public int QRPT_solve (Matrix QR, Vector tau, Permutation p, Vector b, Vector x)
public int QRPT_svx (Matrix QR, Vector tau, Permutation p, Vector x)
public int QRPT_update (Matrix Q, Matrix R, Permutation p, Vector u, Vector v)
public int QR_QRsolve (Matrix Q, Matrix R, Vector b, Vector x)
public int QR_QTmat (Matrix QR, Vector tau, Matrix A)
public int QR_QTvec (Matrix QR, Vector tau, Vector v)
public int QR_Qvec (Matrix QR, Vector tau, Vector v)
public int QR_Rsolve (Matrix QR, Vector b, Vector x)
public int QR_Rsvx (Matrix QR, Vector x)
public int QR_decomp (Matrix A, Vector tau)
public int QR_lssolve (Matrix QR, Vector tau, Vector b, Vector x, Vector residual)
public int QR_solve (Matrix QR, Vector tau, Vector b, Vector x)
public int QR_svx (Matrix QR, Vector tau, Vector x)
public int QR_unpack (Matrix QR, Vector tau, Matrix Q, Matrix R)
public int QR_update (Matrix Q, Matrix R, Vector w, Vector v)
public int R_solve (Matrix R, Vector b, Vector x)
public int R_svx (Matrix R, Vector x)
public int SV_decomp (Matrix A, Matrix V, Vector S, Vector work)
public int SV_decomp_jacobi (Matrix A, Matrix V, Vector S)
public int SV_decomp_mod (Matrix A, Matrix X, Matrix V, Vector S, Vector work)
public int SV_solve (Matrix U, Matrix V, Vector S, Vector b, Vector x)
public int balance_matrix (Matrix A, Vector D)
public int bidiag_decomp (Matrix A, Vector tau_U, Vector tau_V)
public int bidiag_unpack (Matrix A, Vector tau_U, Matrix U, Vector tau_V, Matrix V, Vector diag, Vector superdiag)
public int bidiag_unpack2 (Matrix A, Vector tau_U, Vector tau_V, Matrix V)
public int bidiag_unpack_B (Matrix A, Vector diag, Vector superdiag)
public int cholesky_decomp (Matrix A)
public int cholesky_solve (Matrix cholesky, Vector b, Vector x)
public int cholesky_svx (Matrix cholesky, Vector x)
public int complex_LU_decomp (MatrixComplex A, Permutation p, out int signum)
public Complex complex_LU_det (MatrixComplex LU, int signum)
public int complex_LU_invert (MatrixComplex LU, Permutation p, MatrixComplex inverse)
public double complex_LU_lndet (MatrixComplex LU)
public int complex_LU_refine (MatrixComplex A, MatrixComplex LU, Permutation p, VectorComplex b, VectorComplex x, VectorComplex residual)
public Complex complex_LU_sgndet (MatrixComplex LU, int signum)
public int complex_LU_solve (MatrixComplex LU, Permutation p, VectorComplex b, VectorComplex x)
public int complex_LU_svx (MatrixComplex LU, Permutation p, VectorComplex x)
public int complex_cholesky_decomp (MatrixComplex A)
public int complex_cholesky_solve (MatrixComplex cholesky, VectorComplex b, VectorComplex x)
public int complex_cholesky_svx (MatrixComplex cholesky, VectorComplex x)
public int complex_householder_hm (Complex tau, VectorComplex V, MatrixComplex A)
public int complex_householder_hv (Complex tau, VectorComplex V, VectorComplex w)
public int complex_householder_mh (Complex tau, VectorComplex V, MatrixComplex A)
public Complex complex_householder_transform (VectorComplex V)
public int hermtd_decomp (MatrixComplex A, VectorComplex tau)
public int hermtd_unpack (MatrixComplex A, VectorComplex tau, MatrixComplex Q, Vector diag, Vector subdiag)
public int hermtd_unpack_T (MatrixComplex A, Vector diag, Vector subdiag)
public int hessenberg_decomp (Matrix A, Vector tau)
public int hessenberg_set_zero (Matrix H)
public int hessenberg_unpack (Matrix H, Vector tau, Matrix U)
public int hessenberg_unpack_accum (Matrix H, Vector tau, Matrix V)
public int hesstri_decomp (Matrix A, Matrix B, Matrix U, Matrix V, Vector work)
public int householder_hm (double tau, Vector v, Matrix A)
public int householder_hv (double tau, Vector v, Vector w)
public int householder_mh (double tau, Vector v, Matrix A)
public int householder_transform (Vector v)
public int solve_cyc_tridiag (Vector diag, Vector e, Vector f, Vector b, Vector x)
public int solve_symm_cyc_tridiag (Vector diag, Vector e, Vector b, Vector x)
public int solve_symm_tridiag (Vector diag, Vector e, Vector b, Vector x)
public int solve_tridiag (Vector diag, Vector e, Vector f, Vector b, Vector x)
public int symmtd_decomp (Matrix A, Vector tau)
public int symmtd_unpack (Matrix A, Vector tau, Matrix Q, Vector diag, Vector subdiag)
public int symmtd_unpack_T (Matrix A, Vector diag, Vector subdiag)

Methods:

public int complex_log_e (double zr, double zi, out Result result, out Result theta)
public double log (double x)
public double log_1plusx (double x)
public int log_1plusx_e (double x, out Result result)
public double log_1plusx_mx (double x)
public int log_1plusx_mx_e (double x, out Result result)
public double log_abs (double x)
public int log_abs_e (double x, out Result result)
public int log_e (double x, out Result result)

MinFminimizerTypes

Fields:

public MinFminimizerType* brent
public MinFminimizerType* goldensection

MinTest

Methods:

public int interval (double x_lower, double x_upper, double epsabs, double epsrel)

Multifit

Methods:

public int covar (Matrix J, double epsrel, Matrix covar)
public int gradient (Matrix J, Vector f, Vector g)
public int linear (Matrix X, Vector y, Vector c, Matrix cov, out double chisq, MultifitLinearWorkspace work)
public int linear_est (Vector x, Vector c, Matrix cov, out double y, out double y_err)
public int linear_residuals (Matrix X, Vector y, Vector c, Vector r)
public int linear_svd (Matrix X, MultifitLinearWorkspace work)
public int wlinear (Matrix X, Vector w, Vector y, Vector c, Matrix cov, out double chisq, MultifitLinearWorkspace work)
public int wlinear_svd (Matrix X, Vector w, Vector y, double tol, out size_t rank, Vector c, Matrix cov, out double chisq, MultifitLinearWorkspace work)

MultifitFdfsolverTypes

Fields:

public MultifitFdfsolverType* lmder
public MultifitFdfsolverType* lmsder

MultifitTest

Methods:

public int delta (Vector dx, Vector x, double epsabs, double epsrel)
public int gradient (Vector g, double epsabs)

MultiminFdfminimizerTypes

Fields:

public MultiminFdfminimizerType* conjugate_fr
public MultiminFdfminimizerType* conjugate_pr
public MultiminFdfminimizerType* steepest_descent
public MultiminFdfminimizerType* vector_bfgs
public MultiminFdfminimizerType* vector_bfgs2

MultiminFminimizerTypes

Fields:

public MultiminFminimizerType* nmsimplex

MultiminTest

Methods:

public int gradient (Vector g, double epsabs)
public int size (double size, double epsabs)

Multiply

Methods:

public int e (double x, double y, out Result result)
public int err_e (double x, double dx, double y, double dy, out Result result)

MultirootFdfsolverTypes

Fields:

public MultirootFdfsolverType* gnewton
public MultirootFdfsolverType* hybridj
public MultirootFdfsolverType* hybridsj
public MultirootFdfsolverType* newton

MultirootFsolverTypes

Fields:

public MultirootFsolverType* broyden
public MultirootFsolverType* dnewton
public MultirootFsolverType* hybrid
public MultirootFsolverType* hybrids

MultirootTest

Methods:

public int delta (Vector dx, Vector x, double epsabs, double epsrel)
public int residual (Vector f, double epsabs)

OdeivStepTypes

Fields:

public OdeivStepType* bsimp
public OdeivStepType* gear1
public OdeivStepType* gear2
public OdeivStepType* rk2
public OdeivStepType* rk2imp
public OdeivStepType* rk2simp
public OdeivStepType* rk4
public OdeivStepType* rk4imp
public OdeivStepType* rk8pd
public OdeivStepType* rkck
public OdeivStepType* rkf45

Permute

Methods:

public int permute (size_t* p, double[] data, size_t stride, size_t n)
public int permute_inverse (size_t* p, double[] data, size_t stride, size_t n)

PermuteComplex

Methods:

public int permute (size_t* p, double[] data, size_t stride, size_t n)
public int permute_inverse (size_t* p, double[] data, size_t stride, size_t n)

PermuteVector

Methods:

public int permute (Permutation p, Vector v)
public int permute_inverse (Permutation p, Vector v)

PermuteVectorComplex

Methods:

public int permute (Permutation p, VectorComplex v)
public int permute_inverse (Permutation p, VectorComplex v)

Poly

Methods:

public Complex complex_eval (double[] c, Complex z)
public int complex_solve_cubic (double a, double b, double c, out Complex z0, out Complex z1, out Complex z2)
public int complex_solve_quadratic (double a, double b, double c, out Complex z0, out Complex z1)
public double dd_eval (double[] dd, double[] xa, size_t size, double x)
public int dd_init (double[] dd, double[] xa, double[] ya, size_t size)
public int dd_taylor (double[] c, double xp, double[] dd, double[] xa, size_t size, double[] w)
public double eval (double[] c, double x)
public Complex poly_complex_eval (Complex[] c, Complex z)
public int solve_cubic (double a, double b, double c, out double x0, out double x1, out double x2)
public int solve_quadratic (double a, double b, double c, out double x0, out double x1)

Methods:

public double pow_int (double x, int n)
public int pow_int_e (double x, int n, out Result result)

Methods:

public double psi (double x)
public double psi_1 (double x)
public int psi_1_e (double x, out Result result)
public double psi_1_int (int n)
public int psi_1_int_e (int n, out Result result)
public double psi_1piy (double y)
public int psi_1piy_e (double y, out Result result)
public int psi_e (double x, out Result result)
public double psi_int (int n)
public int psi_int_e (int n, out Result result)
public double psi_n (int n, double x)
public int psi_n_e (int n, double x, out Result result)

QRNGAlgorithms

Fields:

public QRNGType* halton
public QRNGType* niederreiter_2
public QRNGType* reversehalton
public QRNGType* sobol

RNGTypes

Fields:

public RNGType* @default
public RNGType* borosh13
public RNGType* cmrg
public RNGType* coveyou
public ulong default_seed
public RNGType* fishman18
public RNGType* fishman20
public RNGType* fishman2x
public RNGType* gfsr4
public RNGType* knuthran
public RNGType* knuthran2
public RNGType* knuthran2002
public RNGType* lecuyer21
public RNGType* minstd
public RNGType* mrg
public RNGType* mt19937
public RNGType* mt19937_1998
public RNGType* mt19937_1999
public RNGType* r250
public RNGType* ran0
public RNGType* ran1
public RNGType* ran2
public RNGType* ran3
public RNGType* rand
public RNGType* rand48
public RNGType* random128_bsd
public RNGType* random128_glibc2
public RNGType* random128_libc5
public RNGType* random256_bsd
public RNGType* random256_glibc2
public RNGType* random256_libc5
public RNGType* random32_bsd
public RNGType* random32_glibc2
public RNGType* random32_libc5
public RNGType* random64_bsd
public RNGType* random64_glibc2
public RNGType* random64_libc5
public RNGType* random8_bsd
public RNGType* random8_glibc2
public RNGType* random8_libc5
public RNGType* random_bsd
public RNGType* random_glibc2
public RNGType* random_libc5
public RNGType* randu
public RNGType* ranf
public RNGType* ranlux
public RNGType* ranlux389
public RNGType* ranlxd1
public RNGType* ranlxd2
public RNGType* ranlxs0
public RNGType* ranlxs1
public RNGType* ranlxs2
public RNGType* ranmar
public RNGType* slatec
public RNGType* taus
public RNGType* taus113
public RNGType* taus2
public RNGType* transputer
public RNGType* tt800
public RNGType* uni
public RNGType* uni32
public RNGType* vax
public RNGType* waterman14
public RNGType* zuf

Randist

Methods:

public uint bernoulli (RNG r, double p)
public double bernoulli_pdf (uint k, double p)
public double beta (RNG r, double a, double b)
public double beta_pdf (double x, double a, double b)
public uint binomial (RNG r, double p, uint n)
public uint binomial_knuth (RNG r, double p, uint n)
public double binomial_pdf (uint k, double p, uint n)
public uint binomial_tpe (RNG r, double p, uint n)
public void bivariate_gaussian (RNG r, double sigma_x, double sigma_y, double rho, out double x, out double y)
public double bivariate_gaussian_pdf (double x, double y, double sigma_x, double sigma_y, double rho)
public double cauchy (RNG r, double a)
public double cauchy_pdf (double x, double a)
public double chisq (RNG r, double nu)
public double chisq_pdf (double x, double nu)
public int choose (RNG r, void* dest, size_t k, void* src, size_t n, size_t size)
public void dir_2d (RNG r, out double x, out double y)
public void dir_2d_trig_method (RNG r, out double x, out double y)
public void dir_3d (RNG r, out double x, out double y, out double z)
public void dir_nd (RNG r, size_t n, out double x)
public void dirichlet (RNG r, size_t K, out double alpha, out double theta)
public double dirichlet_lnpdf (size_t K, out double alpha, out double theta)
public double dirichlet_pdf (size_t K, out double alpha, out double theta)
public double erlang (RNG r, double a, double n)
public double erlang_pdf (double x, double a, double n)
public double exponential (RNG r, double mu)
public double exponential_pdf (double x, double mu)
public double exppow (RNG r, double a, double b)
public double exppow_pdf (double x, double a, double b)
public double fdist (RNG r, double nu1, double nu2)
public double fdist_pdf (double x, double nu1, double nu2)
public double flat (RNG r, double a, double b)
public double flat_pdf (double x, double a, double b)
public double gamma (RNG r, double a, double b)
public double gamma_int (RNG r, uint a)
public double gamma_knuth (RNG r, double a, double b)
public double gamma_mt (RNG r, double a, double b)
public double gamma_pdf (double x, double a, double b)
public double gaussian (RNG r, double sigma)
public double gaussian_pdf (double x, double sigma)
public double gaussian_ratio_method (RNG r, double sigma)
public double gaussian_tail (RNG r, double a, double sigma)
public double gaussian_tail_pdf (double x, double a, double sigma)
public double gaussian_ziggurat (RNG r, double sigma)
public uint geometric (RNG r, double p)
public double geometric_pdf (uint k, double p)
public double gumbel1 (RNG r, double a, double b)
public double gumbel1_pdf (double x, double a, double b)
public double gumbel2 (RNG r, double a, double b)
public double gumbel2_pdf (double x, double a, double b)
public uint hypergeometric (RNG r, uint n1, uint n2, uint t)
public double hypergeometric_pdf (uint k, uint n1, uint n2, uint t)
public double landau (RNG r)
public double landau_pdf (double x)
public double laplace (RNG r, double a)
public double laplace_pdf (double x, double a)
public double levy (RNG r, double c, double alpha)
public double levy_skew (RNG r, double c, double alpha, double beta)
public uint logarithmic (RNG r, double p)
public double logarithmic_pdf (uint k, double p)
public double logistic (RNG r, double a)
public double logistic_pdf (double x, double a)
public double lognormal (RNG r, double zeta, double sigma)
public double lognormal_pdf (double x, double zeta, double sigma)
public void multinomial (RNG r, size_t K, uint N, double[] p, uint[] n)
public double multinomial_lnpdf (size_t K, double[] p, uint[] n)
public double multinomial_pdf (size_t K, double[] p, uint[] n)
public uint negative_binomial (RNG r, double p, double n)
public double negative_binomial_pdf (uint k, double p, double n)
public double pareto (RNG r, double a, double b)
public double pareto_pdf (double x, double a, double b)
public uint pascal (RNG r, double p, uint n)
public double pascal_pdf (uint k, double p, uint n)
public uint poisson (RNG r, double mu)
public void poisson_array (RNG r, size_t n, uint[] array, double mu)
public double poisson_pdf (uint k, double mu)
public double rayleigh (RNG r, double sigma)
public double rayleigh_pdf (double x, double sigma)
public double rayleigh_tail (RNG r, double a, double sigma)
public double rayleigh_tail_pdf (double x, double a, double sigma)
public void sample (RNG r, void* dest, size_t k, void* src, size_t n, size_t size)
public void shuffle (RNG r, void* b, size_t nmembm, size_t size)
public double tdist (RNG r, double nu)
public double tdist_pdf (double x, double nu)
public double ugaussian (RNG r)
public double ugaussian_pdf (double x)
public double ugaussian_ratio_method (RNG r)
public double ugaussian_tail (RNG r, double a)
public double ugaussian_tail_pdf (double x, double a)
public double weibull (RNG r, double a, double b)
public double weibull_pdf (double x, double a, double b)

RootFdfsolverTypes

Fields:

public RootFdfsolverType* newton
public RootFdfsolverType* secant
public RootFdfsolverType* steffenson

RootFsolverTypes

Fields:

RootTest

Methods:

public int delta (double x1, double x0, double epsabs, double epsrel)
public int interval (double x_lower, double x_upper, double epsabs, double epsrel)
public int residual (double f, double epsabs)

Siman

Delegates:

public delegate double Efunc_t (void* xp)
public delegate void copy_construct_t (void* xp)
public delegate void copy_t (void* source, void* dest)
public delegate void destroy_t (void* xp)
public delegate double metric_t (void* xp, void* yp)
public delegate void print_t (void* xp)
public delegate void step_t (RNG r, void* xp, double step_size)

Methods:

public void solve (RNG r, void* x0_p, Efunc_t Ef, step_t take_step, metric_t distance, print_t print_position, copy_t copyfunc, copy_construct_t copy_constructor, destroy_t destructor, size_t element_size, SimanParams @params)
public void solve_many (RNG r, void* x0_p, Efunc_t Ef, step_t take_step, metric_t distance, print_t print_position, size_t element_size, SimanParams @params)

Sort

Methods:

public int largest (double[] dest, size_t k, double[] src, size_t stride, size_t n)
public int largest_index (size_t[] p, size_t k, double[] src, size_t stride, size_t n)
public int smallest (double[] dest, size_t k, double[] src, size_t stride, size_t n)
public int smallest_index (size_t[] p, size_t k, double[] src, size_t stride, size_t n)
public void sort (double[] data, size_t stride, size_t n)
public void sort_index (size_t[] p, double[] data, size_t stride, size_t n)

SortVector

Methods:

public int largest (double[] dest, size_t k, Vector v)
public int largest_index (size_t[] p, size_t k, Vector v)
public int smallest (double[] dest, size_t k, Vector v)
public int smallest_index (size_t[] p, size_t k, Vector v)
public void sort (Vector v)
public int sort_index (Permutation p, Vector v)

Stats

Methods:

public double absdev (double[] data, size_t stride, size_t n)
public double absdev_m (double[] data, size_t stride, size_t n, double mean)
public double correlation (double[] data1, size_t stride1, double[] data2, size_t stride2, size_t n)
public double covariance (double[] data1, size_t stride1, double[] data2, size_t stride2, size_t n)
public double covariance_m (double[] data1, size_t stride1, double[] data2, size_t stride2, size_t n, double mean1, double mean2)
public double kurtosis (double[] data, size_t stride, size_t n)
public double kurtosis_m_sd (double[] data, size_t stride, size_t n, double mean, double sd)
public double lag1_autocorrelation (double[] data, size_t stride, size_t n)
public double lag1_autocorrelation_m (double[] data, size_t stride, size_t n, double mean)
public double max (double[] data, size_t stride, size_t n)
public size_t max_index (double[] data, size_t stride, size_t n)
public double mean (double[] data, size_t stride, size_t n)
public double median_from_sorted_data (double[] sorted_data, size_t stride, size_t n)
public double min (double[] data, size_t stride, size_t n)
public size_t min_index (double[] data, size_t stride, size_t n)
public void minmax (out double min, out double max, double[] data, size_t stride, size_t n)
public void minmax_index (out size_t min, out size_t max, double[] data, size_t stride, size_t n)
public double quantile_from_sorted_data (double[] sorted_data, size_t stride, size_t n, double f)
public double sd (double[] data, size_t stride, size_t n)
public double sd_m (double[] data, size_t stride, size_t n, double mean)
public double sd_with_fixed_mean (double[] data, size_t stride, size_t n, double mean)
public double skew (double[] data, size_t stride, size_t n)
public double skew_m_sd (double[] data, size_t stride, size_t n, double mean, double sd)
public double tss (double[] data, size_t stride, size_t n)
public double tss_m (double[] data, size_t stride, size_t n, double mean)
public double variance (double[] data, size_t stride, size_t n)
public double variance_m (double[] data, size_t stride, size_t n, double mean)
public double variance_with_fixed_mean (double[] data, size_t stride, size_t n, double mean)
public double wabsdev (double[] w, size_t wstride, double[] data, size_t stride, size_t n)
public double wabsdev_m (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double wmean)
public double wkurtosis (double[] w, size_t wstride, double[] data, size_t stride, size_t n)
public double wkurtosis_m_sd (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double wmean, double wsd)
public double wmean (double[] w, size_t wstride, double[] data, size_t stride, size_t n)
public double wsd (double[] w, size_t wstride, double[] data, size_t stride, size_t n)
public double wsd_m (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double wmean)
public double wsd_with_fixed_mean (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double wmean)
public double wskew (double[] w, size_t wstride, double[] data, size_t stride, size_t n)
public double wskew_m_sd (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double wmean, double wsd)
public double wtss (double[] w, size_t wstride, double[] data, size_t stride, size_t n)
public double wtss_m (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double mean)
public double wvariance (double[] w, size_t wstride, double[] data, size_t stride, size_t n)
public double wvariance_m (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double wmean)
public double wvariance_with_fixed_mean (double[] w, size_t wstride, double[] data, size_t stride, size_t n, double wmean)

Stream

Methods:

public void printf (string label, string file, int line, string reason)
public FileStream set_stream (FileStream new_stream)
public StreamHandler set_stream_handler (StreamHandler new_handler)

SumLevinU

Methods:

public int accel (double[] array, SumLevinUWorkspace w, out double sum_accel, out double abserr)
public int minmax (double[] array, size_t min_terms, size_t max_terms, SumLevinUWorkspace w, out double sum_accel, out double abserr)
public int step (double term, size_t n, size_t nmax, SumLevinUWorkspace w, out double sum_accel)

SumLevinUtrunc

Methods:

public int accel (double[] array, SumLevinUtruncWorkspace w, out double sum_accel, out double abserr_trunc)
public int minmax (double[] array, size_t min_terms, size_t max_terms, SumLevinUtruncWorkspace w, out double sum_accel, out double abserr_trunc)
public int step (double term, size_t n, SumLevinUtruncWorkspace w, out double sum_accel)

Synchrotron

Methods:

public double synchrotron_1 (double x)
public int synchrotron_1_e (double x, out Result result)
public double synchrotron_2 (double x)
public double synchrotron_2_e (double x, out Result result)

Transport

Methods:

public double transport_2 (double x)
public int transport_2_e (double x, out Result result)
public double transport_3 (double x)
public int transport_3_e (double x, out Result result)
public double transport_4 (double x)
public int transport_4_e (double x, out Result result)
public double transport_5 (double x)
public int transport_5_e (double x, out Result result)

Trig

Methods:

public double angle_restrict_pos (double theta)
public int angle_restrict_pos_e (out double theta)
public double angle_restrict_symm (double theta)
public int angle_restrict_symm_e (out double theta)
public double complex_cos_e (double zr, double zi, out Result czr, out Result czi)
public double complex_logsin_e (double zr, double zi, out Result lszr, out Result lszi)
public double complex_sin_e (double zr, double zi, out Result szr, out Result szi)
public double cos (double x)
public int cos_e (double x, out Result result)
public int cos_err_e (double x, double dx, out Result result)
public double hypot (double x, double y)
public int hypot_e (double x, double y, out Result result)
public double lncosh (double x)
public int lncosh_e (double x, out Result result)
public double lnsinh (double x)
public int lnsinh_e (double x, out Result result)
public int polar_to_rect (double r, double theta, out Result x, out Result y)
public int rect_to_polar (double x, double y, out Result r, out Result theta)
public double sin (double x)
public int sin_e (double x, out Result result)
public int sin_err_e (double x, double dx, out Result result)
public double sinc (double x)
public int sinc_e (double x, out Result result)

WaveletTypes

Fields:

public WaveletType* bspline
public WaveletType* bspline_centered
public WaveletType* daubechies
public WaveletType* daubechies_centered
public WaveletType* haar
public WaveletType* haar_centered

Zeta

Methods:

public double eta (double s)
public int eta_e (double s, out Result result)
public double eta_int (int n)
public int eta_int_e (int n, out Result result)
public double hzeta (double s, double q)
public int hzeta_e (double s, double q, out Result result)
public double zeta (double s)
public int zeta_e (double s, out Result result)
public double zeta_int (int n)
public int zeta_int_e (int n, out Result result)
public double zetam1 (double s)
public int zetam1_e (double s, out Result result)
public double zetam1_int (int n)
public int zetam1_int_e (int n, out Result result)