Mapping homochoric <-> cubochoric. More...
Functions/Subroutines | |
pure real(preal) function, dimension(3), public | lambert_cubetoball (cube) |
map from 3D cubic grid to 3D ball More... | |
pure real(preal) function, dimension(3), public | lambert_balltocube (xyz) |
map from 3D ball to 3D cubic grid More... | |
pure integer function, dimension(3) | getpyramidorder (xyz) |
determine to which pyramid a point in a cubic grid belongs More... | |
Variables | |
real(preal), parameter | spi = sqrt(PI) |
real(preal), parameter | pref = sqrt(6.0_pReal/PI) |
real(preal), parameter | a = PI**(5.0_pReal/6.0_pReal)/6.0_pReal**(1.0_pReal/6.0_pReal) |
real(preal), parameter | ap = PI**(2.0_pReal/3.0_pReal) |
real(preal), parameter | sc = A/AP |
real(preal), parameter | beta = A/2.0_pReal |
real(preal), parameter | r1 = (3.0_pReal*PI/4.0_pReal)**(1.0_pReal/3.0_pReal) |
real(preal), parameter | r2 = sqrt(2.0_pReal) |
real(preal), parameter | pi12 = PI/12.0_pReal |
real(preal), parameter | prek = R1 * 2.0_pReal**(1.0_pReal/4.0_pReal)/BETA |
Mapping homochoric <-> cubochoric.
D. Rosca, A. Morawiec, and M. De Graef. “A new method of constructing a grid in the space of 3D rotations and its applications to texture analysis”. Modeling and Simulations in Materials Science and Engineering 22, 075013 (2014).
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determine to which pyramid a point in a cubic grid belongs
Definition at line 4533 of file DAMASK_marc.f90.
Referenced by lambert_balltocube(), and lambert_cubetoball().
pure real(preal) function, dimension(3), public lambert::lambert_balltocube | ( | real(preal), dimension(3), intent(in) | xyz | ) |
map from 3D ball to 3D cubic grid
Definition at line 4479 of file DAMASK_marc.f90.
References beta, prec::deq0(), getpyramidorder(), math::math_clip(), pi12, pref, r1, r2, and sc.
Referenced by rotations::ho2cu().
pure real(preal) function, dimension(3), public lambert::lambert_cubetoball | ( | real(preal), dimension(3), intent(in) | cube | ) |
map from 3D cubic grid to 3D ball
Definition at line 4423 of file DAMASK_marc.f90.
References ap, prec::deq0(), getpyramidorder(), math::pi, pi12, pref, prek, r2, sc, and spi.
Referenced by rotations::cu2ho().
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Definition at line 4398 of file DAMASK_marc.f90.
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_cubetoball().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_balltocube().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_balltocube(), and lambert_cubetoball().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_balltocube(), and lambert_cubetoball().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_cubetoball().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_balltocube().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_balltocube(), and lambert_cubetoball().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_balltocube(), and lambert_cubetoball().
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Definition at line 4398 of file DAMASK_marc.f90.
Referenced by lambert_cubetoball().