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!! University of Notre Dame has been advised of the possibility of |
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!! such damages. |
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!! |
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> |
!!$ |
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module switcheroo |
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use definitions |
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use interpolation |
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+ |
use status |
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|
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implicit none |
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PRIVATE |
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#define __FORTRAN90 |
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– |
#include "UseTheForce/fSwitchingFunction.h" |
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#include "UseTheForce/DarkSide/fSwitchingFunctionType.h" |
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|
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!! number of points for the spline approximations |
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INTEGER, PARAMETER :: np = 150 |
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|
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real ( kind = dp ), dimension(NSWITCHTYPES) :: rin |
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real ( kind = dp ), dimension(NSWITCHTYPES) :: rout |
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real ( kind = dp ), dimension(NSWITCHTYPES) :: rin2 |
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real ( kind = dp ), dimension(NSWITCHTYPES) :: rout2 |
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real ( kind = dp ), save :: c0, c1, c2, c3, c4, c5 |
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real ( kind = dp ), save :: rin |
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real ( kind = dp ), save :: rout |
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real ( kind = dp ), save :: rin2 |
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real ( kind = dp ), save :: rout2 |
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|
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logical, dimension(NSWITCHTYPES) :: isOK |
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logical, save :: haveFunctionType = .false. |
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logical, save :: haveSqrtSpline = .false. |
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logical, save :: useSpline = .true. |
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logical, save :: haveSplines = .false. |
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logical, save :: switchIsCubic = .true. |
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integer, save :: functionType = CUBIC |
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|
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! spline structures |
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type(cubicSpline), save :: r2Spline |
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type(cubicSpline), save :: switchSpline |
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|
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! spline variables |
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type(cubicSpline), save :: scoef |
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real ( kind = dp ), dimension(SPLINE_SEGMENTS) :: xValues |
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real ( kind = dp ), dimension(SPLINE_SEGMENTS) :: yValues |
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real ( kind = dp ), save :: dSqrt1, dSqrtN, range, dX |
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real ( kind = dp ), save :: lowerBound |
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logical, save :: uniformSpline = .true. |
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|
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> |
public::set_switch_type |
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public::set_switch |
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public::set_function_type |
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public::get_switch |
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public::delete_switch |
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contains |
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subroutine set_switch(SwitchType, rinner, router) |
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subroutine set_switch(rinner, router) |
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|
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real ( kind = dp ), intent(in):: rinner, router |
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integer, intent(in) :: SwitchType |
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real ( kind = dp ), dimension(np) :: xvals, yvals |
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real ( kind = dp ), dimension(2) :: rCubVals, sCubVals |
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real ( kind = dp ) :: rval, rval2, rval3, rval4, rval5 |
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real ( kind = dp ) :: rvaldi, rvaldi2, rvaldi3, rvaldi4, rvaldi5 |
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real ( kind = dp ) :: c0, c3, c4, c5, dx, r, r2 |
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integer :: i |
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|
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if (SwitchType .gt. NSWITCHTYPES) then |
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write(default_error, *) & |
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'set_switch: not that many switch types! ' |
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if (router .lt. rinner) then |
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call handleError("set_switch", "router is less than rinner") |
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return |
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endif |
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isOK(SwitchType) = .false. |
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|
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if (router .lt. rinner) then |
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write(default_error, *) & |
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'set_switch: router is less than rinner ' |
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if ((router .lt. 0.0_dp) .or. (rinner .lt. 0.0_dp)) then |
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call handleError("set_switch", "one of the switches is negative!") |
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return |
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endif |
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if ((router .lt. 0.0d0) .or. (rinner .lt. 0.0d0)) then |
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write(default_error, *) & |
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'set_switch: one of the switches is negative!' |
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rin = rinner |
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rout = router |
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rin2 = rinner * rinner |
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rout2 = router * router |
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|
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if ((router-rinner) .lt. 1e-8) then |
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! no reason to set up splines if the switching region is tiny |
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return |
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endif |
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rin(SwitchType) = rinner |
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rout(SwitchType) = router |
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rin2(SwitchType) = rinner * rinner |
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rout2(SwitchType) = router * router |
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isOK(SwitchType) = .true. |
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dx = (rout2-rin2) / dble(np-1) |
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|
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do i = 1, np |
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r2 = rin2 + dble(i-1)*dx |
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xvals(i) = r2 |
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yvals(i) = sqrt(r2) |
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enddo |
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|
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if (.not.haveSqrtSpline) then |
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! fill arrays for building the spline |
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lowerBound = 1.0d0 ! the smallest value expected for r2 |
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range = rout2(SwitchType) - lowerBound |
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dX = range / (SPLINE_SEGMENTS - 1) |
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|
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! the spline is bracketed by lowerBound and rout2 endpoints |
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xValues(1) = lowerBound |
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yValues(1) = dsqrt(lowerBound) |
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do i = 1, SPLINE_SEGMENTS-1 |
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xValues(i+1) = i * dX |
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yValues(i+1) = dsqrt( i * dX ) |
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call newSpline(r2spline, xvals, yvals, .true.) |
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|
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if (functionType .eq. FIFTH_ORDER_POLY) then |
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c0 = 1.0_dp |
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c3 = -10.0_dp |
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c4 = 15.0_dp |
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c5 = -6.0_dp |
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|
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dx = (rout-rin) / dble(np-1) |
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|
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do i = 1, np |
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r = rin + dble(i-1)*dx |
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xvals(i) = r |
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|
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rval = ( r - rin ) |
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rval2 = rval*rval |
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rval3 = rval2*rval |
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rval4 = rval2*rval2 |
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rval5 = rval3*rval2 |
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rvaldi = 1.0_dp/( rout - rin ) |
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rvaldi2 = rvaldi*rvaldi |
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rvaldi3 = rvaldi2*rvaldi |
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rvaldi4 = rvaldi2*rvaldi2 |
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rvaldi5 = rvaldi3*rvaldi2 |
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yvals(i)= c0 + c3*rval3*rvaldi3 + c4*rval4*rvaldi4 + c5*rval5*rvaldi5 |
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enddo |
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! set the endpoint derivatives |
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dSqrt1 = 1 / ( 2.0d0 * dsqrt( xValues(1) ) ) |
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dSqrtN = 1 / ( 2.0d0 * dsqrt( xValues(SPLINE_SEGMENTS) ) ) |
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|
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! call newSpline to fill the coefficient array |
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call newSpline(scoef, xValues, yValues, dSqrt1, dSqrtN, uniformSpline) |
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> |
call newSpline(switchSpline, xvals, yvals, .true.) |
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|
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switchIsCubic = .false. |
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else |
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rCubVals(1) = rin |
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rCubVals(2) = rout |
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sCubVals(1) = 1.0_dp |
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sCubVals(2) = 0.0_dp |
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call newSpline(switchSpline, rCubVals, sCubVals, .true.) |
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endif |
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|
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haveSplines = .true. |
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return |
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end subroutine set_switch |
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subroutine set_function_type(functionForm) |
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subroutine set_switch_type(functionForm) |
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integer, intent(in) :: functionForm |
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functionType = functionForm |
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|
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if (functionType .eq. FIFTH_ORDER_POLY) then |
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c0 = 1.0d0 |
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c1 = 0.0d0 |
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c2 = 0.0d0 |
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c3 = -10.0d0 |
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c4 = 15.0d0 |
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c5 = -6.0d0 |
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> |
if ((functionType.eq.FIFTH_ORDER_POLY).or.(functionType.eq.CUBIC)) then |
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> |
if (haveSplines) then |
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> |
call delete_switch() |
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> |
call set_switch(rin, rout) |
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endif |
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> |
else |
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> |
call handleError("set_switch_type", & |
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> |
"Unknown type of switching function!") |
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return |
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endif |
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< |
end subroutine set_function_type |
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> |
end subroutine set_switch_type |
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> |
|
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> |
subroutine delete_switch() |
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> |
call deleteSpline(switchSpline) |
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call deleteSpline(r2spline) |
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return |
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end subroutine delete_switch |
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> |
|
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> |
subroutine get_switch(r2, sw, dswdr, r, in_switching_region) |
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|
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– |
subroutine get_switch(r2, sw, dswdr, r, SwitchType, in_switching_region) |
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– |
|
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real( kind = dp ), intent(in) :: r2 |
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real( kind = dp ), intent(inout) :: sw, dswdr, r |
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– |
real( kind = dp ) :: ron, roff |
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real( kind = dp ) :: rval, rval2, rval3, rval4, rval5 |
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– |
real( kind = dp ) :: rvaldi, rvaldi2, rvaldi3, rvaldi4, rvaldi5 |
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– |
integer, intent(in) :: SwitchType |
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|
logical, intent(inout) :: in_switching_region |
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+ |
integer :: j |
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+ |
real ( kind = dp ) :: a, b, c, d, dx |
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|
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< |
sw = 0.0d0 |
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< |
dswdr = 0.0d0 |
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> |
sw = 1.0_dp |
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> |
dswdr = 0.0_dp |
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|
in_switching_region = .false. |
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|
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< |
if (.not.isOK(SwitchType)) then |
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< |
write(default_error, *) & |
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< |
'get_switch: this switching function has not been set up!' |
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< |
return |
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< |
endif |
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> |
if (r2.gt.rin2) then |
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> |
if (r2.gt.rout2) then |
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|
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< |
if (r2.lt.rout2(SwitchType)) then |
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< |
if (r2.lt.rin2(SwitchType)) then |
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< |
|
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< |
sw = 1.0d0 |
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< |
dswdr = 0.0d0 |
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> |
sw = 0.0_dp |
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> |
dswdr = 0.0_dp |
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|
return |
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< |
|
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< |
else |
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< |
if (useSpline) then |
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< |
call lookup_uniform_spline(scoef, r2, r) |
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> |
|
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> |
else |
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> |
|
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> |
call lookupUniformSpline(r2Spline, r2, r) |
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> |
if (switchIsCubic) then |
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> |
! super zippy automated use of precomputed spline coefficients |
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> |
dx = r - rin |
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> |
sw = switchSpline%y(1) + dx*(dx*(switchSpline%c(1) + & |
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> |
dx*switchSpline%d(1))) |
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> |
dswdr = dx*(2.0_dp * switchSpline%c(1) + & |
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> |
3.0_dp * dx * switchSpline%d(1)) |
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else |
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< |
r = dsqrt(r2) |
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> |
call lookupUniformSpline1d(switchSpline, r, sw, dswdr) |
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endif |
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< |
|
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< |
ron = rin(SwitchType) |
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< |
roff = rout(SwitchType) |
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< |
|
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< |
if (functionType .eq. FIFTH_ORDER_POLY) then |
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< |
rval = ( r - ron ) |
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< |
rval2 = rval*rval |
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< |
rval3 = rval2*rval |
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< |
rval4 = rval2*rval2 |
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< |
rval5 = rval3*rval2 |
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< |
rvaldi = 1.0d0/( roff - ron ) |
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< |
rvaldi2 = rvaldi*rvaldi |
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< |
rvaldi3 = rvaldi2*rvaldi |
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< |
rvaldi4 = rvaldi2*rvaldi2 |
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< |
rvaldi5 = rvaldi3*rvaldi2 |
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< |
sw = c0 + c1*rval*rvaldi + c2*rval2*rvaldi2 + c3*rval3*rvaldi3 & |
| 201 |
< |
+ c4*rval4*rvaldi4 + c5*rval5*rvaldi5 |
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< |
dswdr = c1*rvaldi + 2.0d0*c2*rval*rvaldi2 & |
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< |
+ 3.0d0*c3*rval2*rvaldi3 + 4.0d0*c4*rval3*rvaldi4 & |
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< |
+ 5.0d0*c5*rval4*rvaldi5 |
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< |
|
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< |
else |
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< |
sw = (roff + 2.0d0*r - 3.0d0*ron)*(roff-r)**2/ ((roff-ron)**3) |
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< |
dswdr = 6.0d0*(r*r - r*ron - r*roff +roff*ron)/((roff-ron)**3) |
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< |
|
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< |
endif |
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> |
|
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in_switching_region = .true. |
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+ |
|
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return |
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endif |
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else |
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return |
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endif |
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< |
|
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> |
|
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end subroutine get_switch |
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|
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end module switcheroo |
