File: r3minv.f90

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! Copyright (C) 2002-2005 J. K. Dewhurst, S. Sharma and C. Ambrosch-Draxl.
! This file is distributed under the terms of the GNU Lesser General Public
! License. See the file COPYING for license details.

!BOP
! !ROUTINE: r3minv
! !INTERFACE:
subroutine r3minv(a,b)
! !INPUT/OUTPUT PARAMETERS:
!   a : input matrix (in,real(3,3))
!   b : output matrix (out,real(3,3))
! !DESCRIPTION:
!   Computes the inverse of a real $3\times 3$ matrix.
!
! !REVISION HISTORY:
!   Created April 2003 (JKD)
!EOP
!BOC
implicit none
! arguments
real(8), intent(in) :: a(3,3)
real(8), intent(out) :: b(3,3)
! local variables
real(8) t1
t1=a(1,2)*a(2,3)*a(3,1)-a(1,3)*a(2,2)*a(3,1)+a(1,3)*a(2,1)*a(3,2) &
  -a(1,1)*a(2,3)*a(3,2)+a(1,1)*a(2,2)*a(3,3)-a(1,2)*a(2,1)*a(3,3)
if (abs(t1).lt.1.d-40) then
  write(*,*)
  write(*,'("Error(r3minv): singular matrix")')
  write(*,*)
  stop
end if
t1=1.d0/t1
b(1,1)=t1*(a(2,2)*a(3,3)-a(2,3)*a(3,2))
b(2,1)=t1*(a(2,3)*a(3,1)-a(2,1)*a(3,3))
b(3,1)=t1*(a(2,1)*a(3,2)-a(2,2)*a(3,1))
b(1,2)=t1*(a(1,3)*a(3,2)-a(1,2)*a(3,3))
b(2,2)=t1*(a(1,1)*a(3,3)-a(1,3)*a(3,1))
b(3,2)=t1*(a(1,2)*a(3,1)-a(1,1)*a(3,2))
b(1,3)=t1*(a(1,2)*a(2,3)-a(1,3)*a(2,2))
b(2,3)=t1*(a(1,3)*a(2,1)-a(1,1)*a(2,3))
b(3,3)=t1*(a(1,1)*a(2,2)-a(1,2)*a(2,1))
return
end subroutine
!EOC