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#include "fintrf.h" | ||
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C------------------------------------------------------------------------------- | ||
C | ||
C Abeles Calculation for Rascal 2.0 | ||
C | ||
C-------------------------------------------------------------------------------- | ||
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subroutine mexFunction(nlhs, plhs, nrhs, prhs) | ||
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use omp_lib | ||
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C Declarations | ||
implicit none | ||
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C Mex function arguments | ||
mwPointer plhs(*), prhs(*), dat | ||
integer nlhs, nrhs | ||
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C Function Declarations | ||
mwPointer mxCreateCellMatrix | ||
mwPointer mxGetCell | ||
mwPointer mxGetData | ||
mwPointer mxGetPr | ||
mwPointer mxGetNumberOfElements | ||
mwPointer mxCreateDoubleMatrix | ||
mwPointer mxGetM, mxGetN | ||
mwPointer mxDuplicatearray | ||
mwSize i, m, n | ||
integer*4 :: ComplexFlag = 0 | ||
integer*4 :: layers, points | ||
c real*8, dimension(:), allocatable :: outPoints | ||
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C Pointers Arrays and vars | ||
mwPointer numberOfContrasts | ||
mwPointer outputArray | ||
mwPointer inputArray_xdat, inputArray_sld, inputArray_nbair | ||
mwPointer inputArray_nbsub, inputArray_ssub, inputArray_rep | ||
mwPointer inputarray_resol | ||
mwPointer thisCell_xdat, thisCell_sld | ||
mwPointer calcOutpArray | ||
mwPointer thisArray, thisArray2 | ||
mwPointer size | ||
mwPointer pr_out, pr_in_xdata | ||
mwPointer pr_in_sld, pr_in_nbair, pr_in_nbsub | ||
mwPointer pr_in_rep, pr_in_resol, pr_in_ssub | ||
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C input checking... | ||
if(nrhs .lt. 7) then | ||
call mexErrMsgTxt('7 inputs required to Abeles.') | ||
endif | ||
if(nlhs .gt. 1) then | ||
call mexErrMsgTxt('One output required from Abeles.') | ||
endif | ||
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C Get the number of conts from size of the xdata cell array.. | ||
inputArray_xdat = prhs(1) | ||
numberOfContrasts = mxGetNumberOfElements(inputArray_xdat) | ||
inputArray_sld = prhs(2) | ||
inputArray_nbair = prhs(3) | ||
inputArray_nbsub = prhs(4) | ||
inputArray_rep = prhs(5) | ||
inputArray_resol = prhs(6) | ||
inputArray_ssub = prhs(7) | ||
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pr_in_nbair = mxGetPr(inputArray_nbair) | ||
pr_in_nbsub = mxGetPr(inputArray_nbsub) | ||
pr_in_rep = mxGetPr(inputArray_rep) | ||
pr_in_resol = mxGetPr(inputArray_resol) | ||
pr_in_ssub = mxGetPr(inputArray_ssub) | ||
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C Output cell array will have the same number of contrasts | ||
m = numberOfContrasts | ||
n = 1 | ||
outputArray = mxCreateCellMatrix(m,n) | ||
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c Loop over all the elements in the input array and call comp... | ||
!$OMP PARALLEL | ||
!$OMP DO | ||
do i=1,numberOfContrasts | ||
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c Pointers for input variables | ||
thisCell_xdat = mxGetCell(inputArray_xdat,i) | ||
points = mxGetNumberOfElements(thisCell_xdat) | ||
pr_in_xdata = mxGetPr(thisCell_xdat) | ||
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thisCell_sld = mxGetCell(inputArray_sld,i) | ||
layers = mxGetM(thisCell_sld) | ||
pr_in_sld = mxGetPr(thisCell_sld) | ||
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c Make the array for output from calcfn | ||
n = 1 | ||
calcOutpArray = mxCreateDoubleMatrix(points,n,ComplexFlag) | ||
pr_out = mxGetPr(calcOutpArray) | ||
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call abeles(%VAL(pr_out),%VAL(pr_in_xdata),%VAL(pr_in_sld), | ||
+ %VAL(pr_in_nbair),%VAL(pr_in_nbsub),%VAL(pr_in_rep), | ||
+ %VAL(pr_in_resol),%VAL(pr_in_ssub), | ||
+ layers,points,i,numberOfContrasts) | ||
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call mxSetCell(outputArray,i,calcOutpArray) | ||
10 end do | ||
!$OMP END DO | ||
!$OMP END PARALLEL | ||
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plhs(1) = outputarray | ||
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return | ||
end | ||
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C========================================================================= | ||
c | ||
C computational routine..... | ||
C | ||
C========================================================================= | ||
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c subroutine abeles(out,x,sld,nbairs,nbsubs,nrepeatss, | ||
c + resols,ssubs,numCont,points,layers,thisCont) | ||
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subroutine abeles(out,x,sld,nbairs,nbsubs,nrepeatss,resols,ssubs, | ||
+ layers,points,thisCont,numCont) | ||
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integer size, i, numCont, thisCont | ||
integer layers,points,j,reploop, loop, nl, nrepeats | ||
double complex c0 , c1 , ci , beta , rij , N , M , MI , rimaj | ||
double complex blast , num , den , quo | ||
double complex pimag , pair , psub , plast | ||
real*8 pi , twopi , lam , ilow, ihi | ||
real*8 thick , q , theta, rho, rough, resol | ||
real*8 preal , snair , snsub , snlay, rfac, resType | ||
real*8 out(points,1),x(points,1),sld(layers,3),nbair,nbsub,ssub | ||
real*8 dummydata(points,1), g(points,1) | ||
real*8 nbairs(numCont,1), nbsubs(numCont,1),ssubs(numCont,1) | ||
real*8 nrepeatss(numCont,1),resols(numCont,1) | ||
dimension N(2,2) , M(2,2) , MI(2,2) | ||
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nbair = nbairs(thisCont,1) | ||
nbsub = nbsubs(thisCont,1) | ||
ssub = ssubs(thisCont,1) | ||
nrepeats = nrepeatss(thisCont,1) | ||
resol = resols(thisCont,1) | ||
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c nbair = 6.3e-6 | ||
c nbsub = 2.073e-6 | ||
c ssub = 1 | ||
c nrepeats = 1 | ||
c resol = 0.01 | ||
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c0 = Dcmplx(0 , 0) | ||
c1 = Dcmplx(1 , 0) | ||
ci = Dcmplx(0 , 1) | ||
lam = 4.5 | ||
pi = 3.141592653589 | ||
rfac = ((4*pi)*(4*pi))/2 | ||
twopi = 2*pi | ||
snair = (1.0 - dble(nbair*((lam*lam) / twopi))) | ||
snsub = (1.0 - dble(nbsub*((lam*lam) / twopi))) | ||
do loop = 1 , points | ||
q = x(loop,1) | ||
theta = asin(q*lam / (4*pi)) | ||
preal = ((snsub)*(snsub)) - ((snair)*(snair))*(cos(theta)**2) | ||
psub = cdsqrt(preal*c1) | ||
pair = snair*sin(theta)*c1 | ||
plast = pair | ||
blast = 0.0 | ||
rlast = sld(1,3) | ||
MI(1 , 1) = c1 | ||
MI(2 , 2) = c1 | ||
MI(1 , 2) = c0 | ||
MI(2 , 1) = c0 | ||
do reploop = 1, nrepeats | ||
do nl = 1 , layers | ||
thick = sld(nl,1) | ||
rho = sld(nl,2) | ||
rough = sld(nl,3) | ||
snlay = (1 - dble(rho*((lam*lam) / twopi))) | ||
preal = (snlay*snlay) - (snair*snair) *cos(theta)**2 | ||
pimag = cdsqrt(preal*c1) | ||
beta = (twopi / lam)*thick*pimag | ||
rij = dcmplx(plast - pimag) / dcmplx(plast + pimag) | ||
rij = rij * cdexp(-rfac*plast*pimag*(rough*rough)/(lam*lam)) | ||
N(1 , 1) = cdexp(blast*ci) | ||
N(2 , 1) = rij * cdexp( - blast*ci) | ||
N(2 , 2) = cdexp( - blast*ci) | ||
N(1 , 2) = rij * cdexp(blast*ci) | ||
plast = pimag | ||
blast = beta | ||
rlast = rough | ||
call mcopy(MI , M) | ||
call mmult(M , N , MI) | ||
end do | ||
end do | ||
rij = (dcmplx(plast - psub)) / (dcmplx(plast + psub)) | ||
rij = rij * cdexp(-rfac*plast*psub*(ssub*ssub)/(lam*lam)) | ||
N(1 , 1) = cdexp(blast*ci) | ||
N(2 , 1) = rij*cdexp( - blast*ci) | ||
N(2 , 2) = cdexp( - blast*ci) | ||
N(1 , 2) = rij*cdexp(blast*ci) | ||
call mcopy(MI , M) | ||
call mmult(M , N , MI) | ||
num = MI(2 , 1)*dconjg(MI(2 , 1)) | ||
den = MI(1 , 1)*dconjg(MI(1 , 1)) | ||
call cdiv(num , den , quo) | ||
out(loop,1) = real(quo) | ||
end do | ||
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C Do the resolution smearing | ||
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call resolution_polly(out,x,out,out,resol,points) | ||
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return | ||
end subroutine | ||
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c============================================================ | ||
c | ||
c Subroutine for resolution smearing..mulf version | ||
c | ||
c | ||
c=========================================================== | ||
subroutine resolution_mulf(out,xdata,ydata,dummyref,res,points) | ||
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real*8 res,width,pi,numer,denom,Kval | ||
integer points,j,res_int,ilow,ihi,i,k | ||
real*8 xdata(points,1) | ||
real*8 ydata(points,1) | ||
real*8 out(points,1) | ||
real*8 dQbyQ,dQk,thisSumNumer,thisSumDenom | ||
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pi = 3.141592653589793 | ||
dQbyQ = res | ||
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do k = 1 , points-1 | ||
dQk = dQbyQ * xdata(k,1) | ||
width = dQk/2.35 | ||
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thisSumNumer = 0.0 | ||
thisSumDenom = 0.0 | ||
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do j = 1,points-1 | ||
numer = 1/(width * (sqrt(2*pi))) | ||
e_part = (xdata(k,1)-xdata(j,1))*(xdata(k,1)-xdata(j,1)) | ||
e_part = e_part /(width*width) | ||
Kval = numer * exp(-(0.5*e_part)) | ||
thisSumNumer = thisSumNumer + Kval * ydata(j,1) | ||
thisSumDenom = thisSumDenom + Kval | ||
end do | ||
out(k,1) = thisSumNumer / thisSumDenom | ||
end do | ||
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out(points,1) = ydata(points,1) | ||
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end subroutine | ||
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c============================================================ | ||
c | ||
c Subroutine for resolution smearing..polly version | ||
c | ||
c | ||
c=========================================================== | ||
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subroutine resolution_polly(out,xdata,ydata,dummyref,res,points) | ||
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real*8 res | ||
integer points,j,res_int,ilow,ihi,i | ||
real*8 xdata(points,1) | ||
real*8 ydata(points,1) | ||
real*8 dummyref(points,1) | ||
real*8 dummyydata(points,1) | ||
real*8 out(points,1) | ||
real*8 g,sumg | ||
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res = res + 0.0001 | ||
res_int = 10 | ||
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do j = 1,points | ||
sumg = 0 | ||
dummyydata(j,1) = 0 | ||
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if (j .gt. 10) then | ||
ilow = -10 | ||
else | ||
ilow = -j + 1 | ||
endif | ||
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if (j .lt. (points - 10)) then | ||
ihi = 10 | ||
else | ||
ihi = points - j | ||
endif | ||
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do i = ilow,ihi | ||
g = exp(-1*((xdata(j+i,1)-xdata(j,1))/(res*xdata(j,1)))**2) | ||
sumg = sumg + g | ||
dummyydata(j,1) = dummyydata(j,1) + dummyref(i+j,1) * g | ||
end do | ||
if (sumg .ne. 0) then | ||
dummyydata(j,1) = dummyydata(j,1) / sumg | ||
endif | ||
end do | ||
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out = dummyydata | ||
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end subroutine | ||
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! ----- ----------------------------- | ||
SUBROUTINE CDIV(NUM , DEN , QUO) | ||
! SUBROUTINE TO DIVIDE COMPLEX NUMBERS | ||
! AND TRAP DIVIDE CHECKS | ||
double COMPLEX NUM , DEN , QUO , C1 , C0 | ||
C1 = DCMPLX(1.0 , 0.0) | ||
C0 = DCMPLX(0.0 , 0.0) | ||
IF(DEN.EQ.NUM)THEN | ||
QUO = C1 | ||
RETURN | ||
ENDIF | ||
IF(DEN.EQ.C0 )THEN | ||
QUO = C0 | ||
RETURN | ||
ENDIF | ||
QUO = NUM / DEN | ||
RETURN | ||
END SUBROUTINE | ||
! ----- ------------------------------------------- | ||
SUBROUTINE MMULT(A1 , A2 , A3) | ||
! SUBROUTINE FOR MATRIX MUTIPLICATION | ||
DOUBLE COMPLEX A1(2 , 2) , A2(2 , 2) , A3(2 , 2) | ||
A3(1 , 1) = A1(1 , 1)*A2(1 , 1) + A1(1 , 2)*A2(2 , 1) | ||
A3(1 , 2) = A1(1 , 1)*A2(1 , 2) + A1(1 , 2)*A2(2 , 2) | ||
A3(2 , 1) = A1(2 , 1)*A2(1 , 1) + A1(2 , 2)*A2(2 , 1) | ||
A3(2 , 2) = A1(2 , 1)*A2(1 , 2) + A1(2 , 2)*A2(2 , 2) | ||
RETURN | ||
END | ||
SUBROUTINE MCOPY(A1 , A2) | ||
! SUBROUTINE TO COPY A MATRIX | ||
DOUBLE COMPLEX A1(2 , 2) , A2(2 , 2) | ||
A2(1 , 1) = A1(1 , 1) | ||
A2(1 , 2) = A1(1 , 2) | ||
A2(2 , 1) = A1(2 , 1) | ||
A2(2 , 2) = A1(2 , 2) | ||
RETURN | ||
END SUBROUTINE | ||
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