73 lines
2.6 KiB
Fortran
73 lines
2.6 KiB
Fortran
Module invariants_mod
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implicit none
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contains
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!----------------------------------------------------
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subroutine invariants(a,xs,ys,xb,yb,b,invar)
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implicit none
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double precision, intent(in) :: a, xs, ys, xb, yb, b
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double precision, intent(out) :: invar(24)
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complex(8) :: q1, q2
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LOGICAL,PARAMETER:: debg =.FALSE.
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integer :: i
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! express the coordinate in complex
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q1 = dcmplx(xs, ys)
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q2 = dcmplx(xb, yb)
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! compute the invariants
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invar(24) = a
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invar(23) =b**2
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! INVARIANTS OF KIND II
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!------------------------
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invar(1) = dreal( q1 * conjg(q1) ) ! r11
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invar(2) = dreal( q1 * conjg(q2) ) ! r12
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invar(3) = dreal( q2 * conjg(q2) ) ! r22
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invar(4) = (dimag(q1 * conjg(q2)) )**2 ! rho 12**2
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!INVATIANTS OF KIND III
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!------------------------
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invar(5) = dreal( q1 * q1 * q1 ) ! r111
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invar(6) = dreal( q1 * q1 * q2 ) ! r112
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invar(7) = dreal( q1 * q2 * q2 ) ! r122
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invar(8) = dreal( q2 * q2 * q2 ) ! r222
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invar(9) = (dimag( q1 * q1 * q1 ))**2 ! rho111**2
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invar(10) = (dimag( q1 * q1 * q2 ))**2 ! rho112 **2
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invar(11) = (dimag( q1 * q2 * q2 ))**2 ! rho122**2
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invar(12) = (dimag( q2 * q2 * q2 ))**2 ! rho222
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! INVARIANTS OF KIND IV
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!-------------------------
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invar(13) = (dimag( q1 * conjg(q2)) * dimag( q1 * q1 * q1 ))
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invar(14) = (dimag( q1 * conjg(q2)) * dimag( q1 * q1 * q2 ))
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invar(15) = (dimag( q1 * conjg(q2)) * dimag( q1 * q2 * q2 ))
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invar(16) = (dimag( q1 * conjg(q2)) * dimag( q2 * q2 * q2 ))
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! INVARIANTS OF KIND V
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!----------------------
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invar(17) = (dimag( q1 * q1 * q1 ) * dimag( q1 * q1 * q2 ))
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invar(18) = (dimag( q1 * q1 * q1 ) * dimag( q1 * q2 * q2 ))
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invar(19) = (dimag( q1 * q1 * q1 ) * dimag( q2 * q2 * q2 ))
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invar(20) = (dimag( q1 * q1 * q2 ) * dimag( q1 * q2 * q2 ))
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invar(21) = (dimag( q1 * q1 * q2 ) * dimag( q2 * q2 * q2 ))
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invar(22) = (dimag( q1 * q2 * q2 ) * dimag( q2 * q2 * q2 ))
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if (debg) then
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write(*,"(A,*(f10.5))")"Invar II", (invar(i),i=1,4)
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write(*,"(A,*(f10.5))") "Invar III", (invar(i),i=5,12)
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write(*,"(A,*(f10.5))")"Invar IV", (invar(i),i=13,16)
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write(*,"(A,*(f10.5))")"Invar V", (invar(i),i=17,22)
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write(*,*)"THE INPUT COORDINATE IN COMPLEX REPRES"
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write(*,*)"---------------------------------------"
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write(*,*)"xs =",dreal(q1), "ys=",dimag(q1)
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endif
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end subroutine invariants
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end module invariants_mod
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