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! $Header$
#include "cctk.h"
module rotation
use constants
implicit none
private
public make_euler
contains
subroutine make_euler1 (phi, tt)
CCTK_REAL, intent(in) :: phi
CCTK_REAL, intent(out) :: tt(0:3,0:3)
! y^a = T^a_b x^b
tt = delta4
tt(1,1) = cos(phi)
tt(1,2) = -sin(phi)
tt(2,1) = sin(phi)
tt(2,2) = cos(phi)
end subroutine make_euler1
subroutine make_euler2 (theta, tt)
CCTK_REAL, intent(in) :: theta
CCTK_REAL, intent(out) :: tt(0:3,0:3)
! y^a = T^a_b x^b
tt = delta4
tt(2,2) = cos(theta)
tt(2,3) = -sin(theta)
tt(3,2) = sin(theta)
tt(3,3) = cos(theta)
end subroutine make_euler2
subroutine make_euler3 (psi, tt)
CCTK_REAL, intent(in) :: psi
CCTK_REAL, intent(out) :: tt(0:3,0:3)
! y^a = T^a_b x^b
tt = delta4
tt(1,1) = cos(psi)
tt(1,2) = -sin(psi)
tt(2,1) = sin(psi)
tt(2,2) = cos(psi)
end subroutine make_euler3
subroutine make_euler (phi, theta, psi, tt)
CCTK_REAL, intent(in) :: phi, theta, psi
CCTK_REAL, intent(out) :: tt(0:3,0:3)
CCTK_REAL :: tt1(0:3,0:3), tt2(0:3,0:3), tt3(0:3,0:3), tt4(0:3,0:3)
call make_euler1 (phi, tt1)
call make_euler2 (theta, tt2)
call make_euler3 (psi, tt3)
tt4 = matmul(tt2, tt1)
tt = matmul(tt3, tt4)
end subroutine make_euler
end module rotation
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