include_pole_residue_test_functions.F90
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!
! This file is part of SACAMOS, State of the Art CAble MOdels for Spice.
! It was developed by the University of Nottingham and the Netherlands Aerospace
! Centre (NLR) for ESA under contract number 4000112765/14/NL/HK.
!
! Copyright (C) 2016-2018 University of Nottingham
!
! SACAMOS is free software: you can redistribute it and/or modify it under the
! terms of the GNU General Public License as published by the Free Software
! Foundation, either version 3 of the License, or (at your option) any later
! version.
!
! SACAMOS is distributed in the hope that it will be useful, but
! WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
! or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
! for more details.
!
! A copy of the GNU General Public License version 3 can be found in the
! file GNU_GPL_v3 in the root or at <http://www.gnu.org/licenses/>.
!
! SACAMOS uses the EISPACK library (in /SRC/EISPACK). EISPACK is subject to
! the GNU Lesser General Public License. A copy of the GNU Lesser General Public
! License version can be found in the file GNU_LGPL in the root of EISPACK
! (/SRC/EISPACK ) or at <http://www.gnu.org/licenses/>.
!
! The University of Nottingham can be contacted at: ggiemr@nottingham.ac.uk
!
!
! FILE CONTAINS:
! FUNCTION conjugate_pair
! FUNCTION imaginary_pair
! FUNCTION complex_pair
!
!
! NAME
! conjugate_pair
!
! DESCRIPTION
! Test whether the two complex numbers a and b are a complex conjugate pair
!
! HISTORY
!
! started 15/09/2017 CJS
!
FUNCTION conjugate_pair(a,b) RESULT(res)
USE type_specifications
USE constants
IMPLICIT NONE
! argument types
complex(dp),intent(IN) :: a,b
! Result type
logical :: res
!local variables
complex(dp) :: diff
real(dp) :: mag_diff,mag1,mag2
! function definition
! Test whether (a*-b)/(|a|+|b|) is zero (very small)
mag1=abs(a)
mag2=abs(b)
diff=conjg(a)-b
mag_diff=abs(diff)
if ( (mag_diff/(mag1+mag2)).GT.zero_test_small) then
res=.FALSE.
else
res=.TRUE.
end if
END FUNCTION conjugate_pair
!
! NAME
! imaginary_pair
!
! DESCRIPTION
! Test whether the two complex numbers a and b are an imaginary pair
! It is assumed that a and b are a complex conjugate pair
!
! HISTORY
!
! started 15/09/2017 CJS
!
FUNCTION imaginary_pair(a,b) RESULT(res)
USE type_specifications
USE constants
IMPLICIT NONE
! argument types
complex(dp),intent(IN) :: a,b
! Result type
logical :: res
! local variables
complex(dp) :: sum
real(dp) :: mag_sum,mag1,mag2
! function definition
! Test whether the real part of (a*+b)/(|a|+|b|) is zero (very small)
mag1=abs(a)
mag2=abs(b)
sum=conjg(a)+b
mag_sum=abs(real(sum))
if ( (mag_sum/(mag1+mag2)).GT.zero_test_small) then
res=.FALSE.
else
res=.TRUE.
end if
END FUNCTION imaginary_pair
!
! NAME
! complex_pair
!
! DESCRIPTION
! Test whether the two complex numbers a and b are a complex pair
! i.e. the real parts of a and b are not zero
! It is assumed that a and b are a complex conjugate pair
!
! HISTORY
!
! started 15/09/2017 CJS
!
FUNCTION complex_pair(a,b) RESULT(res)
USE type_specifications
USE constants
IMPLICIT NONE
! argument types
complex(dp),intent(IN) :: a,b
! Result type
logical :: res
! local variables
complex(dp) :: sum
real(dp) :: mag_sum,mag1,mag2
! function definition
! Test whether the real part of (a*+b)/(|a|+|b|) is greater than zero (something very small)
mag1=abs(a)
mag2=abs(b)
sum=conjg(a)+b
mag_sum=abs(real(sum))
if ( (mag_sum/(mag1+mag2)).LT.zero_test_small) then
res=.FALSE.
else
res=.TRUE.
end if
END FUNCTION complex_pair