iads Interface Reference
Integration by Adaptive Simpson method of a function by a globally adaptive strategy, using a Simpson rule. More...
Public Member Functions | |
| subroutine | iads_sp (f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_sp_f (f_f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_sp_arg (f_arg, a, b, args, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_dp (f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_dp_f (f_f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_dp_arg (f_arg, a, b, args, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_qp (f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_qp_f (f_f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_qp_arg (f_arg, a, b, args, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_cs (f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_cs_f (f_f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_cs_arg (f_arg, a, b, args, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_cd (f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_cd_f (f_f, a, b, intval, epsabs, epsrel, abserr, neval, ier) |
| subroutine | iads_cd_arg (f_arg, a, b, args, intval, epsabs, epsrel, abserr, neval, ier) |
Detailed Description
Integration by Adaptive Simpson method of a function by a globally adaptive strategy, using a Simpson rule.
The routine calculates an approximation 
![\[ J \approx I =\int_{a}^{b} f(x, args) dx \]](form_22_dark.png)
hopefully satisfying
![\[ || I - J || \le \max ( epsabs, epsrel \cdot ||I|| ). \]](form_23_dark.png)
- Parameters
-
[in] f The function to integrate [in] a (real) lower limit of integration [in] b (real) upper limit of integration [in] args (real, array, optional) extra arguments (if needed) to be passed to the function f[out] IntVal (same kind as f) Approximation to integral[in] epsabs (real, optional) Absolute accuracy requested. Default = 1.e-7 [in] epsrel (real, optional) Relative accuracy requested. Default = 1.e-5 [out] abserr (real, optional) Estimation of absolute error achieved [out] neval (integer, optional) Number of function evaluations performed [out] ier (integer, optional) Error code
Member Function/Subroutine Documentation
◆ iads_cd()
| subroutine iads_cd | ( | procedure(funqcd) | f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| complex(cd), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_cd_arg()
| subroutine iads_cd_arg | ( | procedure(funqcd_arg) | f_arg, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(dp), dimension(:), intent(in) | args, | ||
| complex(cd), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_arg function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_cd_f()
| subroutine iads_cd_f | ( | procedure(funqcd_f) | f_f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| complex(cd), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_cs()
| subroutine iads_cs | ( | procedure(funqcs) | f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| complex(cs), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_cs_arg()
| subroutine iads_cs_arg | ( | procedure(funqcs_arg) | f_arg, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(dp), dimension(:), intent(in) | args, | ||
| complex(cs), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_arg function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_cs_f()
| subroutine iads_cs_f | ( | procedure(funqcs_f) | f_f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| complex(cs), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_dp()
| subroutine iads_dp | ( | procedure(funqdp) | f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(dp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_dp_arg()
| subroutine iads_dp_arg | ( | procedure(funqdp_arg) | f_arg, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(dp), dimension(:), intent(in) | args, | ||
| real(dp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_arg function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_dp_f()
| subroutine iads_dp_f | ( | procedure(funqdp_f) | f_f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(dp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_qp()
| subroutine iads_qp | ( | procedure(funqqp) | f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(qp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_qp_arg()
| subroutine iads_qp_arg | ( | procedure(funqqp_arg) | f_arg, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(dp), dimension(:), intent(in) | args, | ||
| real(qp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_arg function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_qp_f()
| subroutine iads_qp_f | ( | procedure(funqqp_f) | f_f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(qp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_sp()
| subroutine iads_sp | ( | procedure(funqsp) | f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(sp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_sp_arg()
| subroutine iads_sp_arg | ( | procedure(funqsp_arg) | f_arg, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(dp), dimension(:), intent(in) | args, | ||
| real(sp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_arg function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
◆ iads_sp_f()
| subroutine iads_sp_f | ( | procedure(funqsp_f) | f_f, |
| real(dp), intent(in) | a, | ||
| real(dp), intent(in) | b, | ||
| real(sp), intent(out) | intval, | ||
| real(dp), intent(in), optional | epsabs, | ||
| real(dp), intent(in), optional | epsrel, | ||
| real(dp), intent(out), optional | abserr, | ||
| integer, intent(out), optional | neval, | ||
| integer, intent(out), optional | ier ) |
- Parameters
-
f_f function to integrate [out] intval Result [in] a Lower limit of integration [in] b Upper limit of integration [in] epsrel Bound to estimation error desired [out] abserr Estimated error [out] neval Number of function evaluations [out] ier Output (error) code
The documentation for this interface was generated from the following files:
- /home/fiol/Trabajos/fortran/numfor/src/integrate/nf_qadaptive.f90
- /home/fiol/Trabajos/fortran/numfor/src/integrate/qadaptive.f90
- /home/fiol/Trabajos/fortran/numfor/src/integrate/tmp.f90
