rotations.f90 File Reference

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Data Types
type	rotations::rotation

Modules
module	rotations
	rotation storage and conversion

Functions/Subroutines
subroutine, public	rotations::rotations_init
	doing self test More...
pure real(preal) function, dimension(4)	rotations::asquaternion (self)
pure real(preal) function, dimension(3)	rotations::aseulers (self)
pure real(preal) function, dimension(4)	rotations::asaxisangle (self)
pure real(preal) function, dimension(3, 3)	rotations::asmatrix (self)
pure real(preal) function, dimension(4)	rotations::asrodrigues (self)
pure real(preal) function, dimension(3)	rotations::ashomochoric (self)
subroutine	rotations::fromquaternion (self, qu)
subroutine	rotations::fromeulers (self, eu, degrees)
subroutine	rotations::fromaxisangle (self, ax, degrees, P)
subroutine	rotations::frommatrix (self, om)
pure elemental type(rotation) function	rotations::rotrot__ (self, R)
	: Rotate a rotation More...
pure elemental subroutine	rotations::standardize (self)
	quaternion representation with positive q More...
pure real(preal) function, dimension(3)	rotations::rotvector (self, v, active)
	rotate a vector passively (default) or actively More...
pure real(preal) function, dimension(3, 3)	rotations::rottensor2 (self, T, active)
	rotate a rank-2 tensor passively (default) or actively More...
pure real(preal) function, dimension(3, 3, 3, 3)	rotations::rottensor4 (self, T, active)
	rotate a rank-4 tensor passively (default) or actively More...
pure real(preal) function, dimension(6, 6)	rotations::rottensor4sym (self, T, active)
	rotate a symmetric rank-4 tensor stored as (6,6) passively (default) or actively ToDo: Need to check active/passive !!! More...
pure elemental type(rotation) function	rotations::misorientation (self, other)
	misorientation More...
pure real(preal) function, dimension(3, 3)	rotations::qu2om (qu)
	convert unit quaternion to rotation matrix More...
pure real(preal) function, dimension(3)	rotations::qu2eu (qu)
	convert unit quaternion to Euler angles More...
pure real(preal) function, dimension(4)	rotations::qu2ax (qu)
	convert unit quaternion to axis angle pair More...
pure real(preal) function, dimension(4)	rotations::qu2ro (qu)
	convert unit quaternion to Rodrigues vector More...
pure real(preal) function, dimension(3)	rotations::qu2ho (qu)
	convert unit quaternion to homochoric More...
pure real(preal) function, dimension(3)	rotations::qu2cu (qu)
	convert unit quaternion to cubochoric More...
pure real(preal) function, dimension(4)	rotations::om2qu (om)
	convert rotation matrix to cubochoric More...
pure real(preal) function, dimension(3)	rotations::om2eu (om)
	orientation matrix to Euler angles More...
real(preal) function, dimension(4)	rotations::om2ax (om)
	convert orientation matrix to axis angle pair More...
pure real(preal) function, dimension(4)	rotations::om2ro (om)
	convert rotation matrix to Rodrigues vector More...
real(preal) function, dimension(3)	rotations::om2ho (om)
	convert rotation matrix to homochoric More...
real(preal) function, dimension(3)	rotations::om2cu (om)
	convert rotation matrix to cubochoric More...
pure real(preal) function, dimension(4)	rotations::eu2qu (eu)
	Euler angles to unit quaternion. More...
pure real(preal) function, dimension(3, 3), public	rotations::eu2om (eu)
	Euler angles to orientation matrix. More...
pure real(preal) function, dimension(4)	rotations::eu2ax (eu)
	convert euler to axis angle More...
pure real(preal) function, dimension(4)	rotations::eu2ro (eu)
	Euler angles to Rodrigues vector. More...
pure real(preal) function, dimension(3)	rotations::eu2ho (eu)
	convert Euler angles to homochoric More...
real(preal) function, dimension(3)	rotations::eu2cu (eu)
	convert Euler angles to cubochoric More...
pure real(preal) function, dimension(4)	rotations::ax2qu (ax)
	convert axis angle pair to quaternion More...
pure real(preal) function, dimension(3, 3)	rotations::ax2om (ax)
	convert axis angle pair to orientation matrix More...
pure real(preal) function, dimension(3)	rotations::ax2eu (ax)
	convert axis angle pair to Euler angles More...
pure real(preal) function, dimension(4)	rotations::ax2ro (ax)
	convert axis angle pair to Rodrigues vector More...
pure real(preal) function, dimension(3)	rotations::ax2ho (ax)
	convert axis angle pair to homochoric More...
real(preal) function, dimension(3)	rotations::ax2cu (ax)
	convert axis angle pair to cubochoric More...
pure real(preal) function, dimension(4)	rotations::ro2qu (ro)
	convert Rodrigues vector to unit quaternion More...
pure real(preal) function, dimension(3, 3)	rotations::ro2om (ro)
	convert Rodrigues vector to rotation matrix More...
pure real(preal) function, dimension(3)	rotations::ro2eu (ro)
	convert Rodrigues vector to Euler angles More...
pure real(preal) function, dimension(4)	rotations::ro2ax (ro)
	convert Rodrigues vector to axis angle pair More...
pure real(preal) function, dimension(3)	rotations::ro2ho (ro)
	convert Rodrigues vector to homochoric More...
pure real(preal) function, dimension(3)	rotations::ro2cu (ro)
	convert Rodrigues vector to cubochoric More...
pure real(preal) function, dimension(4)	rotations::ho2qu (ho)
	convert homochoric to unit quaternion More...
pure real(preal) function, dimension(3, 3)	rotations::ho2om (ho)
	convert homochoric to rotation matrix More...
pure real(preal) function, dimension(3)	rotations::ho2eu (ho)
	convert homochoric to Euler angles More...
pure real(preal) function, dimension(4)	rotations::ho2ax (ho)
	convert homochoric to axis angle pair More...
pure real(preal) function, dimension(4)	rotations::ho2ro (ho)
	convert homochoric to Rodrigues vector More...
pure real(preal) function, dimension(3)	rotations::ho2cu (ho)
	convert homochoric to cubochoric More...
pure real(preal) function, dimension(4)	rotations::cu2qu (cu)
	convert cubochoric to unit quaternion More...
pure real(preal) function, dimension(3, 3)	rotations::cu2om (cu)
	convert cubochoric to rotation matrix More...
pure real(preal) function, dimension(3)	rotations::cu2eu (cu)
	convert cubochoric to Euler angles More...
real(preal) function, dimension(4)	rotations::cu2ax (cu)
	convert cubochoric to axis angle pair More...
pure real(preal) function, dimension(4)	rotations::cu2ro (cu)
	convert cubochoric to Rodrigues vector More...
pure real(preal) function, dimension(3)	rotations::cu2ho (cu)
	convert cubochoric to homochoric More...
subroutine	rotations::unittest
	check correctness of some rotations functions More...