Class fermi_dirac_multip (o2scl)¶

O2scl : Class List

class fermi_dirac_multip¶

Fermi-Dirac integral using multiprecison.

Todo

In class fermi_dirac_multip: implement degenerate and nondegenerate expansions.

The base integrators

inte_kronrod_boost<61, cpp_dec_float_25, cpp_dec_float_35, cpp_dec_float_50, cpp_dec_float_100> ikb¶

inte_double_exp_boost ideb¶

inte_adapt_cern iac¶

bool err_nonconv¶: If true, then convergence failures call the error handler (default true)

inline fermi_dirac_multip()¶

inline void set_tol(const double &tol_)¶: Set tolerance.

template<class fp_t> inline int calc_1o2_ret_full(fp_t y, fp_t &res, fp_t &err, int &method)¶: Fermi-Dirac integral of order \( 1/2 \).

template<class fp_t> inline int calc_1o2_ret(fp_t y, fp_t &res, fp_t &err)¶: Fermi-Dirac integral of order \( 1/2 \).

template<class fp_t> inline fp_t calc_1o2(fp_t y)¶: Fermi-Dirac integral of order \( 1/2 \).

template<class fp_t> inline int calc_m1o2_ret_full(fp_t y, fp_t &res, fp_t &err, int &method)¶: Fermi-Dirac integral of order \( -1/2 \).

template<class fp_t> inline int calc_m1o2_ret(fp_t y, fp_t &res, fp_t &err)¶: Fermi-Dirac integral of order \( -1/2 \).

template<class fp_t> inline fp_t calc_m1o2(fp_t y)¶: Fermi-Dirac integral of order \( -1/2 \).

template<class fp_t> inline int calc_3o2_ret_full(fp_t y, fp_t &res, fp_t &err, int &method)¶: Fermi-Dirac integral of order \( 3/2 \).

template<class fp_t> inline int calc_3o2_ret(fp_t y, fp_t &res, fp_t &err)¶: Fermi-Dirac integral of order \( 3/2 \).

template<class fp_t> inline fp_t calc_3o2(fp_t y)¶: Fermi-Dirac integral of order \( 3/2 \).

template<class fp_t> inline int calc_2_ret_full(fp_t y, fp_t &res, fp_t &err, int &method)¶: Fermi-Dirac integral of order \( 2 \).

template<class fp_t> inline int calc_2_ret(fp_t y, fp_t &res, fp_t &err)¶: Fermi-Dirac integral of order \( 2 \).

template<class fp_t> inline fp_t calc_2(fp_t y)¶: Fermi-Dirac integral of order \( 2 \).

template<class fp_t> inline int calc_3_ret_full(fp_t y, fp_t &res, fp_t &err, int &method)¶: Fermi-Dirac integral of order \( 3 \).

template<class fp_t> inline int calc_3_ret(fp_t y, fp_t &res, fp_t &err)¶: Fermi-Dirac integral of order \( 3 \).

template<class fp_t> inline fp_t calc_3(fp_t y)¶: Fermi-Dirac integral of order \( 3 \).

template<class fp_t> inline int calc_err_full(fp_t n, fp_t y, fp_t &res, fp_t &err, int &method)¶: Fermi-Dirac integral of any order.

template<class fp_t> inline int calc_err(fp_t n, fp_t y, fp_t &res, fp_t &err)¶: Fermi-Dirac integral of any order.

template<class fp_t> inline fp_t calc(fp_t n, fp_t y)¶: Fermi-Dirac integral of any order.

Protected Functions

template<class fp_t, class fp2_t> inline fp_t obj_func(fp_t x, fp2_t a2, fp2_t mu2)¶: The Fermi-Dirac function.

Protected Attributes

double tol¶: Tolerance.