num_utilities.f90 File Reference

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Interfaces and Types
interface	num_utilities::add_arr_mult
	Add to an array (3) the product of arrays (1) and (2). More...
interface	num_utilities::calc_det
	Calculate determinant of a matrix. More...
interface	num_utilities::calc_inv
	Calculate inverse of square matrix A. More...
interface	num_utilities::calc_mult
	Calculate matrix multiplication of two square matrices \(\overline{\text{AB}} = \overline{\text{A}} \ \overline{\text{B}}\). More...
interface	num_utilities::conv_mat
	Converts a (symmetric) matrix A with the storage convention described in eq_vars.eq_2_type. More...
interface	num_utilities::calc_int
	Integrates a function using the trapezoidal rule. More...
interface	num_utilities::round_with_tol
	Rounds an arry of values to limits, with a tolerance \(10^{-5}\) that can optionally be modified. More...
interface	num_utilities::con2dis
	Convert between points from a continuous grid to a discrete grid. More...
interface	num_utilities::dis2con
	Convert between points from a discrete grid to a continuous grid. More...
interface	num_utilities::con
	Either takes the complex conjugate of a square matrix element A, defined on a 3-D grid, or not. More...
interface	num_utilities::bubble_sort
	Sorting with the bubble sort routine. More...
interface	num_utilities::order_per_fun
	Order a periodic function to include \(0\ldots 2\pi\) and an overlap. More...
interface	num_utilities::spline
	Wrapper to the pspline library, making it easier to use for 1-D applications where speed is not the main priority. If spline representations are to be reused, manually use the library. More...

Modules
module	num_utilities
	Numerical utilities.

Functions/Subroutines
integer function	num_utilities::calc_inv_0d (inv_0D, A)
	private constant version More...
integer function	setup_lim_vals (xb, lim_vals)
	/private set up limit values More...
subroutine, public	num_utilities::calc_aux_utilities (n_mod)
	Initialize utilities for fast future reference, depending on program style. More...
integer function	num_utilities::calc_derivs_1d_id (deriv, dims)
	Returns the 1D indices for derivatives of a certain order in certain dimensions. More...
integer function, dimension(:,:), allocatable, public	num_utilities::derivs (order, dims)
	Returns derivatives of certain order. More...
integer function, public	num_utilities::check_deriv (deriv, max_deriv, sr_name)
	checks whether the derivatives requested for a certain subroutine are valid More...
integer function, public	num_utilities::calc_ext_var (ext_var, var, var_points, ext_point, deriv_in)
	Extrapolates a function. More...
integer function, public	num_utilities::calc_coeff_fin_diff (deriv, nr, ind, coeff)
	Calculate the coefficients for finite differences. More...
integer function, public	num_utilities::c (ij, sym, n, lim_n)
	Convert 2-D coordinates (i,j) to the storage convention used in matrices. More...
recursive integer function, public	num_utilities::fac (n)
	Calculate factorial. More...
integer function, public	num_utilities::is_sym (n, nn, sym)
	Determines whether a matrix making use of the storage convention in eq_vars.eq_2_type is symmetric or not. More...
recursive integer function, public	num_utilities::lcm (u, v)
	Returns common multiple using the Euclid's algorithm. More...
recursive integer function, public	num_utilities::gcd (u, v)
	Returns least denominator using the GCD. More...
subroutine, public	num_utilities::shift_f (Al, Bl, Cl, A, B, C)
	Calculate multiplication through shifting of fourier modes A and B into C. More...
subroutine, public	num_utilities::solve_vand (n, a, b, x, transp)
	Solve a Vandermonde system \(\overline{\text{A}} \ \vec{X} = \vec{B}\). More...
integer function, public	num_utilities::calc_d2_smooth (fil_N, x, y, D2y, style)
	Calculate second derivative with smoothing formula by Holoborodko, [9]. More...

Variables
integer, dimension(:,:,:), allocatable, public	num_utilities::d
	1-D array indices of derivatives More...
integer, dimension(:,:), allocatable, public	num_utilities::m
	1-D array indices of metric indices More...
integer, dimension(:,:), allocatable, public	num_utilities::f
	1-D array indices of Fourier mode combination indices More...
logical, public	num_utilities::debug_con2dis_reg = .false.
	plot debug information for con2dis_reg() More...
logical, public	num_utilities::debug_calc_coeff_fin_diff = .false.
	plot debug information for calc_coeff_fin_diff() More...

Function/Subroutine Documentation

setup_lim_vals()

integer function spline_real::setup_lim_vals	(	real(dp), intent(in)	xb,
		real(dp), dimension(0:3), intent(out)	lim_vals
	)

/private set up limit values

Makes use of f_spl

Definition at line 1938 of file num_utilities.f90.

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