lambert Module Reference

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

Detailed Description

Mapping homochoric <-> cubochoric.

Author

Marc De Graef, Carnegie Mellon University

Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH

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).

Function/Subroutine Documentation

getpyramidorder()

pure integer function, dimension(3) lambert::getpyramidorder ( real(preal), dimension(3), intent(in)  xyz )

private

determine to which pyramid a point in a cubic grid belongs

Author

Marc De Graef, Carnegie Mellon University

Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH

Definition at line 186 of file Lambert.f90.

Referenced by lambert_balltocube(), and lambert_cubetoball().

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lambert_balltocube()

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

Author

Marc De Graef, Carnegie Mellon University

Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH

Definition at line 132 of file Lambert.f90.

References beta, prec::deq0(), getpyramidorder(), math::math_clip(), pi12, pref, r1, r2, and sc.

Referenced by rotations::ho2cu().

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lambert_cubetoball()

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

Author

Marc De Graef, Carnegie Mellon University

Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH

Definition at line 76 of file Lambert.f90.

References ap, prec::deq0(), getpyramidorder(), math::pi, pi12, pref, prek, r2, sc, and spi.

Referenced by rotations::cu2ho().

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Variable Documentation

a

real(preal), parameter lambert::a = PI**(5.0_pReal/6.0_pReal)/6.0_pReal**(1.0_pReal/6.0_pReal)

private

Definition at line 51 of file Lambert.f90.

ap

real(preal), parameter lambert::ap = PI**(2.0_pReal/3.0_pReal)

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_cubetoball().

beta

real(preal), parameter lambert::beta = A/2.0_pReal

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_balltocube().

pi12

real(preal), parameter lambert::pi12 = PI/12.0_pReal

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_balltocube(), and lambert_cubetoball().

pref

real(preal), parameter lambert::pref = sqrt(6.0_pReal/PI)

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_balltocube(), and lambert_cubetoball().

prek

real(preal), parameter lambert::prek = R1 * 2.0_pReal**(1.0_pReal/4.0_pReal)/BETA

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_cubetoball().

r1

real(preal), parameter lambert::r1 = (3.0_pReal*PI/4.0_pReal)**(1.0_pReal/3.0_pReal)

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_balltocube().

r2

real(preal), parameter lambert::r2 = sqrt(2.0_pReal)

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_balltocube(), and lambert_cubetoball().

sc

real(preal), parameter lambert::sc = A/AP

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_balltocube(), and lambert_cubetoball().

spi

real(preal), parameter lambert::spi = sqrt(PI)

private

Definition at line 51 of file Lambert.f90.

Referenced by lambert_cubetoball().