laserfields_miscfuncs Module Reference

Data Types
interface	interpolate
	1-dimensional polynomial interpolation More...
interface	gnuplotstring
	convert real or complex numbers to strings that can be used in gnuplot More...

Functions/Subroutines
integer function	get_unused_unit ()
real(dp) pure elemental function	phase (c)
	obtain the phase (=argument) of a complex number
complex(dpc) pure elemental function	abs2_phase (c)
	return a complex number containing absolute value squared and phase as real and imaginary part: {|c|2,phase(c)}
real(dp) pure function	lagrange_interpol (xk, yk, n, x)
	lagrange polynomial interpolation, using the barycentric form (see e.g. wikipedia)
pure integer function	binary_search (xs, x)
	do a binary search and return index il for which xs(il) <= x <= xs(il+1)

Function/Subroutine Documentation

get_unused_unit()

integer function laserfields_miscfuncs::get_unused_unit

Definition at line 23 of file laserfields_miscfuncs.f90.

phase()

real(dp) pure elemental function laserfields_miscfuncs::phase

(

complex(dpc), intent(in)

c

)

obtain the phase (=argument) of a complex number

Definition at line 36 of file laserfields_miscfuncs.f90.

abs2_phase()

complex(dpc) pure elemental function laserfields_miscfuncs::abs2_phase

(

complex(dpc), intent(in)

c

)

return a complex number containing absolute value squared and phase as real and imaginary part: {|c|²,phase(c)}

Definition at line 43 of file laserfields_miscfuncs.f90.

lagrange_interpol()

real(dp) pure function laserfields_miscfuncs::lagrange_interpol	(	real(dp), dimension(n), intent(in)	xk,
		real(dp), dimension(n), intent(in)	yk,
		integer, intent(in)	n,
		real(dp), intent(in)	x )

lagrange polynomial interpolation, using the barycentric form (see e.g. wikipedia)

Parameters

[in]	n	size of xk and yk.
[in]	xk	x-values of points to interpolate.
[in]	yk	y-values of points to interpolate.
[in]	x	position at which to evaluate the interpolating polynomial.

Definition at line 104 of file laserfields_miscfuncs.f90.

binary_search()

pure integer function laserfields_miscfuncs::binary_search	(	real(dp), dimension(:), intent(in)	xs,
		real(dp), intent(in)	x )

do a binary search and return index il for which xs(il) <= x <= xs(il+1)

Parameters

[in]	xs	input array to search, has to be sorted (either in ascending or descending order)
[in]	x	value to search for

Definition at line 138 of file laserfields_miscfuncs.f90.