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@ -20,7 +20,8 @@ class Quaternion:
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Convention 4: Euler angle triplets are implemented using the Bunge convention,
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with the angular ranges as [0, 2π],[0, π],[0, 2π]
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Convention 5: the rotation angle ω is limited to the interval [0, π]
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Convention 6: P = 1 (as default)
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w is the real part, (x, y, z) are the imaginary parts.
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Vector "a" (defined in coordinate system "A") is passively rotated
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@ -31,6 +31,7 @@
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!> @author Marc De Graef, Carnegie Mellon University
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!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief general quaternion math, not limited to unit quaternions
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!> @details w is the real part, (x, y, z) are the imaginary parts.
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!---------------------------------------------------------------------------------------------------
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module quaternions
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use prec, only: &
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@ -39,7 +40,7 @@ module quaternions
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implicit none
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public
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real(pReal), parameter, public :: epsijk = -1.0_pReal !< parameter for orientation conversion. ToDo: Better place?
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real(pReal), parameter, public :: epsijk = -1.0_pReal !< parameter for orientation conversion.
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type, public :: quaternion
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real(pReal) :: w = 0.0_pReal
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@ -33,6 +33,16 @@
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!> @brief rotation storage and conversion
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!> @details: rotation is internally stored as quaternion. It cabe inialized from different
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!> represantations and also returns itself in different representations.
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!
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! All methods and naming conventions based on Rowenhorst_etal2015
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! Convention 1: coordinate frames are right-handed
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! Convention 2: a rotation angle ω is taken to be positive for a counterclockwise rotation
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! when viewing from the end point of the rotation axis towards the origin
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! Convention 3: rotations will be interpreted in the passive sense
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! Convention 4: Euler angle triplets are implemented using the Bunge convention,
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! with the angular ranges as [0, 2π],[0, π],[0, 2π]
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! Convention 5: the rotation angle ω is limited to the interval [0, π]
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! Convention 6: epsijk/P = -1
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!---------------------------------------------------------------------------------------------------
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module rotations
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