TABLE OF CONTENTS
- 1. /rotation
- 1.1. rotation/rotateTo
- 1.2. rotation/rotateYZ
- 1.3. rotation/rotateZY
- 1.4. rotation/get_phi_theta
/rotation [ Modules ]
NAME
module rotation
PURPOSE
This module defines rotation matrices and evaluates the spherical coordinates of a vector.
rotation/rotateTo [ Functions ]
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NAME
function rotateTo (targ, v_in) result (v_out)
PURPOSE
Rotates the z-axis onto a vector 'targ'.
INPUTS
- real, intent(in), dimension(1:3) :: targ ! Target vector
- real, intent(in), dimension(1:3) :: v_in ! Vector before rotation
OUTPUT
- real, dimension(1:3) :: v_out ! Vector after rotation
rotation/rotateYZ [ Functions ]
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NAME
function rotateYZ (theta, phi, v_in, cosTheta) result (v_out)
PURPOSE
Does first a rotation around the y-axis with angle theta, then around z with angle phi.
Rotates the z-axis on a vector which has the spherical coordinates theta and phi.
INPUTS
- real :: phi ! Angle around z-axis
- real :: theta ! Angle around y-Axis
- real,dimension(1:3) :: v_in ! Vector before rotation
- real, OPTIONAL :: cosTheta ! cos(theta)
OUTPUT
- real,dimension(1:3) :: v_out ! Vector after rotation
NOTES
if optional parameter cosTheta is given, cosT and sinT are calculated using this parameter instead of theta
rotation/rotateZY [ Functions ]
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NAME
function rotateZY (theta, phi, v_in, cosTheta) result (v_out)
PURPOSE
Does first rotation around z and thereafter around y.
As a result, e.g. the vector which had originally the spherical coordinates theta and phi is now rotated on the z-Axis. It's basically the inverse of rotateYZ.
INPUTS
- real :: phi ! Angle around z-axis [radian]
- real :: theta ! Angle around y-Axis [radian]
- real,dimension(1:3) :: v_in ! Vector before rotation
- real, OPTIONAL :: cosTheta ! cos(theta)
OUTPUT
- real,dimension(1:3) :: v_out ! Vector after rotation
NOTES
if optional parameter cosTheta is given, cosT and sinT are calculated using this parameter instead of theta
rotation/get_phi_theta [ Subroutines ]
[ Top ] [ rotation ] [ Subroutines ]
NAME
subroutine get_phi_theta (vector, theta, phi)
PURPOSE
Translate the input "vector" into spherical coordinates. Returns phi and theta of vector:
- x-axis defines phi=0
- z-axis defines theta=0
INPUTS
real, dimension(1:3) :: vector
OUTPUT