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cxrcefits.for
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cxrcefits.for
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subroutine cxrcefits (iz, te_ev, f0, Lzcxr, dLzcxr, zavg)
c///////////////////////////////////////////////////////////////////////
c/ /
c/ This subroutine calculates the effective cooling rate (Lz) and /
c/ the average atomic number <Z> for various impurities assuming /
c/ corona equilibrium and including the effect of CXR (Charge /
c/ Exchange Recombination) with neutrals. The results have been /
c/ parametrized as a function of the neutral fraction, fn0, and /
c/ assume a neutral energy of 100 eV. /
c/ /
c/ The fits have been produced with the TableCurve 2D package using /
c/ data from numerical simulations with ADPAK. /
c/ /
c/ Written by John Mandrekas, GIT, 08/27/98 /
c/ Updated to include Beryllium, 11/19/01 /
c/ Updated to include Tungsten, 11/20/01 /
c/ /
c/ Input and output variables: /
c/ -------------------------- /
c/ iz : atomic number of impurity species (must be 4,6 or 74) /
c/ te_ev : electron temperature (eV) /
c/ f0 : neutral fraction, n_0/n_e /
c/ Lzcxr : Effective cooling rate (erg-cm^3/s) /
c/ dLzcxr : the derivative dLz / dTe /
c/ zavg : local value of <Z> /
c/ /
c/ Limits: /
c/ ------ /
c/ f0 : 1.0e-7 <= fn0 <= 0.1 /
c/ (1.0e-7 corresponds to "pure" CE, i.e. no CXR) /
c/ te_ev : 1-4 eV <= Te <= 100 keV /
c/ (different species have different lower Te limits) /
c/ /
c///////////////////////////////////////////////////////////////////////
implicit none
integer iz
real te_ev, f0, Lzcxr, dLzcxr, zavg
real delta_t, teplus, lztmp1, lztmp2, ztmp1, ztmp2
c/ Present version of routine is valid only for Carbon, Be and W:
c/ -------------------------------------------------------------
if ((iz.NE.4).AND.(iz.NE.6).AND.(iz.NE.74)) then
write (6, 1000)
return
endif
c/ For the derivative dLz/dT, a forward difference approximation is used.
c/ The magnitude of delta_t depends on the temperature region:
delta_t = 1.0
if ((te_ev.GT.1.0).AND.(te_ev.LE.10.0)) delta_t = 1.0
if ((te_ev.GT.10.0).AND.(te_ev.LE.100.0)) delta_t = 5.0
if ((te_ev.GT.100.0).AND.(te_ev.LE.1000.0)) delta_t = 50.0
if ((te_ev.GT.1000.0).AND.(te_ev.LE.10000.0)) delta_t = 500.0
if(te_ev.GT.10000.0) delta_t = 5000.00
teplus = te_ev + delta_t
if (iz.EQ.4) then
call berycalc (te_ev, f0, lztmp1, ztmp1)
call berycalc (teplus, f0, lztmp2, ztmp2)
else if (iz.EQ.6) then
call carbcalc (te_ev, f0, lztmp1, ztmp1)
call carbcalc (teplus, f0, lztmp2, ztmp2)
else if (iz.EQ.74) then
call tungcalc (te_ev, f0, lztmp1, ztmp1)
call tungcalc (teplus, f0, lztmp2, ztmp2)
endif
Lzcxr = lztmp1
zavg = ztmp1
dLzcxr = (lztmp2 - lztmp1) / delta_t
1000 format (1x, 'Sorry, this element is not supported at this time!')
return
end
c//////////////////////////////////////////////////////////////////////
subroutine carbcalc (elecTemp, fn0, Lz_eff, zav)
implicit none
logical first
integer nfit
parameter (nfit = 6)
real elecTemp, fn0, Lz_eff, zav, teev, teevz, gf,
. fn0_loc, lfn0
real nratio(nfit), lratio(nfit)
double precision logte, logtez, loglz, logLz1, logLz2, avz, avz1,
. avz2
integer i, itp, itm
data nratio /1.0e-7, 1.0e-5, 1.0e-4, 1.0e-3, 1.0e-2, 0.1/
data first /.true./
save first
if (first) then
do i = 1, nfit
lratio(i) = alog(nratio(i))
enddo
first = .false.
endif
c/ Define local values of temperature and fn0
c/ ------------------------------------------
teev = elecTemp
teevz = elecTemp
fn0_loc = fn0
if (teev.GT.1.0e5) teev = 1.0e5
if (teevz.GT.1.0e5) teevz = 1.0e5
if (teevz.LT.4.0) teevz = 4.0
if (teev.LT.1.0) teev = 1.0
if (fn0_loc.GT.0.1) fn0_loc = 0.1
if (fn0_loc.LT.1.0e-7) fn0_loc = 1.0e-7
c/ Carbon fits (logarithmic interpolation in fn0):
c/ ---------------------------------------------
lfn0 = alog(fn0_loc)
logte = dble(alog(teev))
logtez = dble(alog(teevz))
do i = 1, nfit
itp = i
itm = i-1
if (lratio(i).GT.lfn0) go to 10
enddo
10 gf = (lfn0-lratio(itm)) / (lratio(itp) - lratio(itm))
if (itp.EQ.2) then
call carbLz1(logte, logLz2)
call carbz1(logtez, avz2)
call carbLz0(logte, logLz1)
call carbz0(logtez, avz1)
else if (itp.EQ.3) then
call carbLz2(logte, logLz2)
call carbz2(logtez, avz2)
call carbLz1(logte, logLz1)
call carbz1(logtez, avz1)
else if (itp.EQ.4) then
call carbLz3(logte, logLz2)
call carbz3(logtez, avz2)
call carbLz2(logte, logLz1)
call carbz2(logtez, avz1)
else if (itp.EQ.5) then
call carbLz4(logte, logLz2)
call carbz4(logtez, avz2)
call carbLz3(logte, logLz1)
call carbz3(logtez, avz1)
else if (itp.EQ.6) then
call carbLz5(logte, logLz2)
call carbz5(logtez, avz2)
call carbLz4(logte, logLz1)
call carbz4(logtez, avz1)
endif
c/ Interpolate:
c/ ------------
loglz = logLz1 + gf * (logLz2 - logLz1)
avz = avz1 + gf * (avz2 - avz1)
zav = avz
Lz_eff = DEXP(loglz)
return
end
*----------------------------------------------------------*
SUBROUTINE carbLz0 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7908 y=(a+cx+ex^2+gx^3+ix^4)/(1+bx+dx^2+fx^3+hx^4+jx^5) [NL]
***** r2=0.9973636598999668
***** r2adj=0.996610419871386
***** StdErr=0.1367154041642642
***** Fval=1513.254924715438
***** a= -48.05701638008089
***** b= -0.9311158417187738
***** c= 48.47232544012909
***** d= 0.3656227965320152
***** e= -20.54659779544684
***** f= -0.06743874574667866
***** g= 4.093089761996128
***** h= 0.004473947426571898
***** i= -0.3171908150305152
***** j= 8.863516738272812E-05
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-48.05701638008089D0+x*(48.47232544012909D0+
1x*(-20.54659779544684D0+x*(4.093089761996128D0+
1x*(-0.3171908150305152D0)))))/
1(1.0+x*(-0.9311158417187738D0+x*(0.3656227965320152D0+
1x*(-0.06743874574667866D0+x*(0.004473947426571898D0+
1x*(8.863516738272812D-05))))))
RETURN
END
SUBROUTINE carbLz1 (xin,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7938 y=(a+cx^(0.5)+ex+gx^(1.5)+ix^2)/(1+bx^(0.5)+dx+fx^(1.5)+hx^2+jx^(2.5)) [NL]
***** r2=0.9968895239336924
***** r2adj=0.996000816486176
***** StdErr=0.1144873830702045
***** Fval=1281.976781280419
***** a= -48.26108976585108
***** b= -2.043534775774002
***** c= 101.276551783295
***** d= 1.578782798322771
***** e= -80.80831571547241
***** f= -0.5359953349251032
***** g= 28.88539317117795
***** h= 0.06233503304876245
***** i= -3.890114608092218
***** j= 0.002021736953803202
*----------------------------------------------------------*
DOUBLE PRECISION x,y,xin
x=DSQRT(xin)
y=(-48.26108976585108D0+x*(101.2765517832950D0+
1x*(-80.80831571547241D0+x*(28.88539317117795D0+
1x*(-3.890114608092218D0)))))/
1(1.0+x*(-2.043534775774002D0+x*(1.578782798322771D0+
1x*(-0.5359953349251032D0+x*(0.06233503304876245D0+
1x*(0.002021736953803202D0))))))
RETURN
END
SUBROUTINE carbLz2 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7909 y=(a+cx+ex^2+gx^3+ix^4+kx^5)/(1+bx+dx^2+fx^3+hx^4+jx^5) [NL]
***** r2=0.9938579850794276
***** r2adj=0.9918708626051248
***** StdErr=0.1196539158641109
***** Fval=566.3455710807457
***** a= -48.17363639615012
***** b= -0.725965067360063
***** c= 39.2684785908266
***** d= 0.253036191261172
***** e= -15.04376082452389
***** f= -0.04366080736061199
***** g= 2.805436557906019
***** h= 0.001747278362590292
***** i= -0.1630625622615418
***** j= 0.000302590632235526
***** k= -0.01059672275404548
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-48.17363639615012D0+x*(39.26847859082660D0+
1x*(-15.04376082452389D0+x*(2.805436557906019D0+
1x*(-0.1630625622615418D0+x*(-0.01059672275404548D0))))))/
1(1.0+x*(-0.7259650673600630D0+x*(0.2530361912611720D0+
1x*(-0.04366080736061199D0+x*(0.001747278362590292D0+
1x*(0.0003025906322355260D0))))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbLz3 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7061 High Precision Rational Order 5/6
***** r2=0.9960506193010626
***** r2adj=0.9946144808650854
***** StdErr=0.07543339999141367
***** Fval=779.5404264348596
***** a= -48.24612537515503
***** b= -0.5207347962064592
***** c= 30.41150060339372
***** d= 0.1089358849224695
***** e= -8.841711211209292
***** f= -0.005468843185061347
***** g= 1.254339216983393
***** h= -0.002281855004146044
***** i= -0.03186918311272708
***** j= 0.0004031553280906002
***** k= -0.008888205232614435
***** l= -5.218367253639758E-06
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-48.24612537515503D0+x*(30.41150060339372D0+
1x*(-8.841711211209292D0+x*(1.254339216983393D0+
1x*(-0.03186918311272708D0+x*(-0.008888205232614435D0))))))/
1(1.0+x*(-0.5207347962064592D0+x*(0.1089358849224695D0+
1x*(-0.005468843185061347D0+x*(-0.002281855004146044D0+
1x*(0.0004031553280906002D0+x*(-5.218367253639758D-06)))))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbLz4 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7909 y=(a+cx+ex^2+gx^3+ix^4+kx^5)/(1+bx+dx^2+fx^3+hx^4+jx^5) [NL]
***** r2=0.9989957178222752
***** r2adj=0.9986708030000702
***** StdErr=0.04189361330602956
***** Fval=3481.576283967687
***** a= -48.25777013600387
***** b= 0.5567080169148271
***** c= -23.79942457816814
***** d= 0.4619018254954098
***** e= -13.7055228158622
***** f= -0.2402113672179129
***** g= 7.676541654386141
***** h= 0.02157379905037086
***** i= -0.552860909378173
***** j= 0.001931163892626394
***** k= -0.09761877736103596
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-48.25777013600387D0+x*(-23.79942457816814D0+
1x*(-13.70552281586220D0+x*(7.676541654386141D0+
1x*(-0.5528609093781730D0+x*(-0.09761877736103596D0))))))/
1(1.0+x*(0.5567080169148271D0+x*(0.4619018254954098D0+
1x*(-0.2402113672179129D0+x*(0.02157379905037086D0+
1x*(0.001931163892626394D0))))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbLz5 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7906 y=(a+cx+ex^2+gx^3)/(1+bx+dx^2+fx^3+hx^4) [NL]
***** r2=0.9989175360821982
***** r2adj=0.9986834898297004
***** StdErr=0.04964209328023934
***** Fval=5009.58517572278
***** a= -48.24935387075439
***** b= -0.08317507482996005
***** c= 4.549147208892025
***** d= 1.003201914244
***** e= -39.34362334869888
***** f= -0.07414863087396985
***** g= 2.743780734934436
***** h= 0.0002760633477668579
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-48.24935387075439D0+x*(4.549147208892025D0+
1x*(-39.34362334869888D0+x*(2.743780734934436D0))))/
1(1.0+x*(-0.08317507482996005D0+x*(1.003201914244000D0+
1x*(-0.07414863087396985D0+x*(0.0002760633477668579D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbz0 (xin,y)
*----------------------------------------------------------*
***** TableCurve E:\workspc\adpak\carbfits\carbz0.for Aug 27, 1998 11:01:40 AM
***** e:\workspc\adpak\carbfits\adfits.txt
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7927 y=(a+cx^2+ex^4+gx^6+ix^8)/(1+bx^2+dx^4+fx^6+hx^8) [NL]
***** r2=0.9937417629173098
***** r2adj=0.9921772036466374
***** StdErr=0.1578680657860305
***** Fval=734.4010130592369
***** a= 0.02026114262530317
***** b= 0.359064815481891
***** c= -1.148926731375311
***** d= 0.2555965909275739
***** e= 1.768198162297531
***** f= -0.02790676715935333
***** g= -0.1724809599454494
***** h= 0.0007812948463679949
***** i= 0.004719593942719677
*----------------------------------------------------------*
DOUBLE PRECISION x,y,xin
x=xin*xin
y=(0.02026114262530317D0+x*(-1.148926731375311D0+
1x*(1.768198162297531D0+x*(-0.1724809599454494D0+
1x*(0.004719593942719677D0)))))/
1(1.0+x*(0.3590648154818910D0+x*(0.2555965909275739D0+
1x*(-0.02790676715935333D0+x*(0.0007812948463679949D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbz1 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7907 y=(a+cx+ex^2+gx^3+ix^4)/(1+bx+dx^2+fx^3+hx^4) [NL]
***** r2=0.994025920998759
***** r2adj=0.9925324012484488
***** StdErr=0.155778206945307
***** Fval=769.5529107774339
***** a= 0.01026222217821833
***** b= -0.7704350974113495
***** c= -1.473811840148628
***** d= 0.5187417793147915
***** e= 2.477568600228726
***** f= -0.1558812723194924
***** g= -0.8773871745823321
***** h= 0.01541116331407926
***** i= 0.0904333317056572
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(0.01026222217821833D0+x*(-1.473811840148628D0+
1x*(2.477568600228726D0+x*(-0.8773871745823321D0+
1x*(0.09043333170565720D0)))))/
1(1.0+x*(-0.7704350974113495D0+x*(0.5187417793147915D0+
1x*(-0.1558812723194924D0+x*(0.01541116331407926D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbz2 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7661 Chebyshev=>Std Rational Order 5/6
***** r2=0.9999225470236776
***** r2adj=0.9998915658331488
***** StdErr=0.01435560859394078
***** Fval=36382.89547306414
***** a= 1.150085465560309
***** b= -1.062937903395777
***** c= -0.5758766256072072
***** d= 0.4056208627931876
***** e= -0.365632998030996
***** f= -0.05757115638526525
***** g= 0.3402142294003078
***** h= 0.001127951727470678
***** i= -0.08403779195242037
***** j= 9.69779181003025E-05
***** k= 0.00683060087600698
***** l= 2.967003324700622E-05
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(1.150085465560309D0+x*(-0.5758766256072072D0+
1x*(-0.3656329980309960D0+x*(0.3402142294003078D0+
1x*(-0.08403779195242037D0+x*(0.006830600876006980D0))))))/
1(1.0+x*(-1.062937903395777D0+x*(0.4056208627931876D0+
1x*(-0.05757115638526525D0+x*(0.001127951727470678D0+
1x*(9.697791810030250D-05+x*(2.967003324700622D-05)))))))
RETURN
END
*----------------------------------------------------------*
DOUBLE PRECISION FUNCTION EVALFPOLY(order, x, c)
*----------------------------------------------------------*
DOUBLE PRECISION x,c(*)
INTEGER order,i,j
DOUBLE PRECISION xs,y
xs=(x-1.098600000000000D0)/(3.315006478672470D0)
y=c(1)
i=1
DO 10 j=2,order+1,2
y = y + c(j)*DCOS(i*xs)+c(j+1)*DSIN(i*xs)
i = i+1
10 CONTINUE
EVALFPOLY = y
END
*----------------------------------------------------------*
SUBROUTINE carbz3 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= Zavg
***** Eqn# 6849 Fourier Series Polynomial 9x2
***** r2=0.9999404202719886
***** r2adj=0.999893252987313
***** StdErr=0.01405947336110686
***** Fval=23310.04497033426
***** a= -4106.955540043388
***** b= -187.9219162236737
***** c= 7643.112264856381
***** d= 6126.84941964411
***** e= 292.6096450064551
***** f= 290.7785724112178
***** g= -4213.37571128678
***** h= -2459.358981918883
***** i= -214.7202496744426
***** j= -122.0213108222742
***** k= 1197.31987712448
***** l= 472.4204367327425
***** m= 52.92594647145775
***** n= 17.10586948202494
***** o= -143.7341121452483
***** p= -30.42186721450204
***** q= -3.848083205675052
***** r= -0.4726006921500227
***** s= 3.432126349260192
*----------------------------------------------------------*
DOUBLE PRECISION c
DOUBLE PRECISION x,y
DOUBLE PRECISION EVALFPOLY
DIMENSION c(18+1)
DATA c(1)/-4106.955540043388D0/
DATA c(2)/-187.9219162236737D0/
DATA c(3)/7643.112264856381D0/
DATA c(4)/6126.849419644110D0/
DATA c(5)/292.6096450064551D0/
DATA c(6)/290.7785724112178D0/
DATA c(7)/-4213.375711286780D0/
DATA c(8)/-2459.358981918883D0/
DATA c(9)/-214.7202496744426D0/
DATA c(10)/-122.0213108222742D0/
DATA c(11)/1197.319877124480D0/
DATA c(12)/472.4204367327425D0/
DATA c(13)/52.92594647145775D0/
DATA c(14)/17.10586948202494D0/
DATA c(15)/-143.7341121452483D0/
DATA c(16)/-30.42186721450204D0/
DATA c(17)/-3.848083205675052D0/
DATA c(18)/-0.4726006921500227D0/
DATA c(19)/3.432126349260192D0/
y=EVALFPOLY(18,x,c)
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbz4 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7909 y=(a+cx+ex^2+gx^3+ix^4+kx^5)/(1+bx+dx^2+fx^3+hx^4+jx^5) [NL]
***** r2=0.999803101653665
***** r2adj=0.9997332344985138
***** StdErr=0.01490012960640292
***** Fval=16248.84101284859
***** a= -3.287591029109985
***** b= 1.282161916015724
***** c= 4.612975618449232
***** d= -0.869450256715035
***** e= -0.8046923893084758
***** f= 0.1770781622352369
***** g= -0.1937518617410102
***** h= -0.01568956808876856
***** i= 0.05077008871067605
***** j= 0.000920988523914053
***** k= -0.001267494968248746
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-3.287591029109985D0+x*(4.612975618449232D0+
1x*(-0.8046923893084758D0+x*(-0.1937518617410102D0+
1x*(0.05077008871067605D0+x*(-0.001267494968248746D0))))))/
1(1.0+x*(1.282161916015724D0+x*(-0.8694502567150350D0+
1x*(0.1770781622352369D0+x*(-0.01568956808876856D0+
1x*(0.0009209885239140530D0))))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE carbz5 (x,y)
*----------------------------------------------------------*
***** X= log_TeV
***** Y= Zavg
***** Eqn# 4112 y=a+bx+cxlnx+d(lnx)^2+e/x
***** r2=0.9998312677672034
***** r2adj=0.9998084661141228
***** StdErr=0.009226818536428552
***** Fval=56292.7241959767
***** a= 41.29242450896716
***** b= -22.56309170922901
***** c= 4.436612588718413
***** d= 16.25044201190159
***** e= -18.73386754952622
*----------------------------------------------------------*
DOUBLE PRECISION x,y
DOUBLE PRECISION x1,x2,x3,x4
x1=x
x2=x*DLOG(x)
x3=DLOG(x)*DLOG(x)
x4=1.0/x
y=41.29242450896716D0-22.56309170922901D0*x1
1+4.436612588718413D0*x2+16.25044201190159D0*x3
1-18.73386754952622D0*x4
RETURN
END
c/////////////////// BERYLLIUM ROUTINES ////////////////////////////////
subroutine berycalc (elecTemp, fn0, Lz_eff, zav)
c/ This routine calls the fitting routines produced by
c/ TableCurve to calculate the cooling rate and average
c/ Z of Beryllium, by performing a logarithmic interpolation
c/ on fn0, the ratio n0 / ne:
c/ Created by John Mandrekas on 11/19/01 for the FIRE studies
implicit none
logical first
integer nfit
parameter (nfit = 6)
real elecTemp, fn0, Lz_eff, zav, teev, gf, fn0_loc, lfn0
real nratio(nfit), lratio(nfit)
double precision logte, loglz, logLz1, logLz2, avz, avz1, avz2
integer i, itp, itm
data nratio /1.0e-7, 1.0e-5, 1.0e-4, 1.0e-3, 1.0e-2, 0.1/
data first /.true./
save first
if (first) then
do i = 1, nfit
lratio(i) = alog10(nratio(i))
enddo
first = .false.
endif
c/ Define local values of temperature and fn0
c/ ------------------------------------------
teev = elecTemp
fn0_loc = fn0
c/ Establish upper and lower limits on temperature and fn0:
c/ -------------------------------------------------------
if (teev.GT.1.0e5) teev = 1.0e5
if (teev.LT.3.0) teev = 3.0
if (fn0_loc.GT.0.1) fn0_loc = 0.1
if (fn0_loc.LT.1.0e-7) fn0_loc = 1.0e-7
c/ Beryllium fits (logarithmic interpolation in fn0):
c/ -------------------------------------------------
lfn0 = alog10(fn0_loc)
logte = dble(alog(teev))
do i = 1, nfit
itp = i
itm = i-1
if (lratio(i).GT.lfn0) go to 10
enddo
10 gf = (lfn0-lratio(itm)) / (lratio(itp) - lratio(itm))
if (itp.EQ.2) then
call belz01(logte, logLz2)
call bez01(logte, avz2)
call belz00(logte, logLz1)
call bez00(logte, avz1)
else if (itp.EQ.3) then
call belz02(logte, logLz2)
call bez02(logte, avz2)
call belz01(logte, logLz1)
call bez01(logte, avz1)
else if (itp.EQ.4) then
call belz03(logte, logLz2)
call bez03(logte, avz2)
call belz02(logte, logLz1)
call bez02(logte, avz1)
else if (itp.EQ.5) then
call belz04(logte, logLz2)
call bez04(logte, avz2)
call belz03(logte, logLz1)
call bez03(logte, avz1)
else if (itp.EQ.6) then
call belz05(logte, logLz2)
call bez05(logte, avz2)
call belz04(logte, logLz1)
call bez04(logte, avz1)
endif
c/ Interpolate:
c/ ------------
loglz = logLz1 + gf * (logLz2 - logLz1)
avz = avz1 + gf * (avz2 - avz1)
zav = avz
Lz_eff = DEXP(loglz)
return
end
*----------------------------------------------------------*
SUBROUTINE belz00 (x,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\Befits00.f Nov 14, 2001 4:00:39 PM
***** Befits_00.txt
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7907 y=(a+cx+ex^2+gx^3+ix^4)/(1+bx+dx^2+fx^3+hx^4) [NL]
***** r2=0.9987259313124346
***** r2adj=0.9983983136499177
***** StdErr=0.06022080276007845
***** Fval=3527.491676680174
***** a= -38.96435903430701
***** b= -0.6574072058208236
***** c= 20.69965717032876
***** d= 0.1717908344312678
***** e= -3.923915084826623
***** f= -0.02812347478964454
***** g= 0.6868570907989592
***** h= 0.003728674870950173
***** i= -0.1483446761730444
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-38.96435903430701D0+x*(20.69965717032876D0+
1x*(-3.923915084826623D0+x*(0.6868570907989592D0+
1x*(-0.1483446761730444D0)))))/
1(1.0+x*(-0.6574072058208236D0+x*(0.1717908344312678D0+
1x*(-0.02812347478964454D0+x*(0.003728674870950173D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE bez00 (x,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\BefitsZ00.for Nov 14, 2001 4:11:03 PM
***** Befits_00Z.txt
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7665 Chebyshev=>Std Rational Order 7/8
***** r2=0.9999934579848219
***** r2adj=0.9999760126110136
***** StdErr=0.004461246532156996
***** Fval=71333.31259870915
***** a= -136.3556534243656
***** b= 74.81694264094535
***** c= 604.9538695290494
***** d= -114.3875922694985
***** e= -863.6421955104374
***** f= 97.66966338286421
***** g= 680.1595324470262
***** h= -51.74929048262258
***** i= -322.035263989214
***** j= 15.74735283459374
***** k= 89.61433987285484
***** l= -2.452299116994643
***** m= -13.39093856742672
***** n= 0.1414584390075986
***** o= 0.8260075522808287
***** p= 0.001975305154766203
*----------------------------------------------------------*
DOUBLE PRECISION x,y
if (x.GE.4.6D0) then
y = 4.0D0
return
endif
y=(-136.3556534243656D0+x*(604.9538695290494D0+
1x*(-863.6421955104374D0+x*(680.1595324470262D0+
1x*(-322.0352639892140D0+x*(89.61433987285484D0+
1x*(-13.39093856742672D0+x*(0.8260075522808287D0))))))))/
1(1.0+x*(74.81694264094535D0+x*(-114.3875922694985D0+
1x*(97.66966338286421D0+x*(-51.74929048262258D0+
1x*(15.74735283459374D0+x*(-2.452299116994643D0+
1x*(0.1414584390075986D0+x*(0.001975305154766203D0)))))))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE belz01 (x,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\BeLzfit01.for Nov 19, 2001 10:32:44 AM
***** E:\codes\adpak\runs\Be\Befits_01.txt
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7907 y=(a+cx+ex^2+gx^3+ix^4)/(1+bx+dx^2+fx^3+hx^4) [NL]
***** r2=0.9956311357885423
***** r2adj=0.9945077135627389
***** StdErr=0.09237478114743643
***** Fval=1025.515990929266
***** a= -38.47554741307788
***** b= -0.5102958641547189
***** c= 14.64734481376244
***** d= 0.08863162771975514
***** e= -0.7633225555100111
***** f= -0.01701703816089927
***** g= 0.3236668251611055
***** h= 0.003834168015681632
***** i= -0.1603153469089513
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-38.47554741307788D0+x*(14.64734481376244D0+
1x*(-0.7633225555100111D0+x*(0.3236668251611055D0+
1x*(-0.1603153469089513D0)))))/
1(1.0+x*(-0.5102958641547189D0+x*(0.08863162771975514D0+
1x*(-0.01701703816089927D0+x*(0.003834168015681632D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE bez01 (x,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\Bezfit01.for Nov 19, 2001 11:18:06 AM
***** E:\codes\adpak\runs\Be\Befits_01.txt
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7906 y=(a+cx+ex^2+gx^3)/(1+bx+dx^2+fx^3+hx^4) [NL]
***** r2=0.9995098813119703
***** r2adj=0.9991177863615465
***** StdErr=0.02680732150448401
***** Fval=3204.64904375063
***** a= 3.230801387515638
***** b= -3.17436995171826
***** c= -8.052777960583457
***** d= 1.573543342084804
***** e= 3.849795251813967
***** f= -0.2486005560185516
***** g= -0.5496080698849103
***** h= 0.006764669228433863
*----------------------------------------------------------*
DOUBLE PRECISION x,y
if (x.GE.5.7038D0) then
y = 4.0
return
endif
y=(3.230801387515638D0+x*(-8.052777960583457D0+
1x*(3.849795251813967D0+x*(-0.5496080698849103D0))))/
1(1.0+x*(-3.174369951718260D0+x*(1.573543342084804D0+
1x*(-0.2486005560185516D0+x*(0.006764669228433863D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE belz02 (x,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\BeLzfit02.for Nov 19, 2001 1:07:44 PM
***** E:\codes\adpak\runs\Be\Befits_02.txt
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7907 y=(a+cx+ex^2+gx^3+ix^4)/(1+bx+dx^2+fx^3+hx^4) [NL]
***** r2=0.9890139492234611
***** r2adj=0.9861889647380653
***** StdErr=0.1189854121353583
***** Fval=405.1103405611314
***** a= -39.66062690531848
***** b= -0.638181202560561
***** c= 23.03767215403504
***** d= 0.1786238874028438
***** e= -6.107015074550334
***** f= -0.03532141492021569
***** g= 1.351164649877513
***** h= 0.004639230609838309
***** i= -0.2019917533767634
*----------------------------------------------------------*
DOUBLE PRECISION x,y
y=(-39.66062690531848D0+x*(23.03767215403504D0+
1x*(-6.107015074550334D0+x*(1.351164649877513D0+
1x*(-0.2019917533767634D0)))))/
1(1.0+x*(-0.6381812025605610D0+x*(0.1786238874028438D0+
1x*(-0.03532141492021569D0+x*(0.004639230609838309D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE bez02 (x0,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\Bezfit02.for Nov 19, 2001 1:10:16 PM
***** E:\codes\adpak\runs\Be\Befits_02.txt
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7936 y=(a+cx^(0.5)+ex+gx^(1.5))/(1+bx^(0.5)+dx+fx^(1.5)+hx^2) [NL]
***** r2=0.9996189898433628
***** r2adj=0.9995343209196656
***** StdErr=0.01915009886631721
***** Fval=13867.61030603556
***** a= -83.02645236074409
***** b= 28.44291249762069
***** c= 223.8623654924055
***** d= -29.17586529516473
***** e= -168.1595667583456
***** f= 7.098448055836165
***** g= 39.0309590439632
***** h= 0.2110160448951401
*----------------------------------------------------------*
DOUBLE PRECISION x0,x,y
x=DSQRT(x0)
y=(-83.02645236074409D0+x*(223.8623654924055D0+
1x*(-168.1595667583456D0+x*(39.03095904396320D0))))/
1(1.0+x*(28.44291249762069D0+x*(-29.17586529516473D0+
1x*(7.098448055836165D0+x*(0.2110160448951401D0)))))
RETURN
END
*----------------------------------------------------------*
SUBROUTINE belz03 (x0,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\BeLzfit03.for Nov 19, 2001 1:13:28 PM
***** E:\codes\adpak\runs\Be\Befits_03.txt
***** X= log_TeV
***** Y= log_Lz
***** Eqn# 7937 y=(a+cx^(0.5)+ex+gx^(1.5)+ix^2)/(1+bx^(0.5)+dx+fx^(1.5)+hx^2) [NL]
***** r2=0.998069738484314
***** r2adj=0.9975733855231376
***** StdErr=0.03427027562006661
***** Fval=2326.790326948728
***** a= -42.9547302309587
***** b= -2.408624156709042
***** c= 104.3135925352664
***** d= 2.227788262369944
***** e= -97.1268973734409
***** f= -0.9218710468904806
***** g= 40.38315099257117
***** h= 0.1429949222549963
***** i= -6.283202175218769
*----------------------------------------------------------*
DOUBLE PRECISION x0,x,y
x=DSQRT(x0)
y=(-42.95473023095870D0+x*(104.3135925352664D0+
1x*(-97.12689737344090D0+x*(40.38315099257117D0+
1x*(-6.283202175218769D0)))))/
1(1.0+x*(-2.408624156709042D0+x*(2.227788262369944D0+
1x*(-0.9218710468904806D0+x*(0.1429949222549963D0)))))
RETURN
END
*----------------------------------------------------------*
DOUBLE PRECISION FUNCTION EVALCRATL(order, x, c)
*----------------------------------------------------------*
DOUBLE PRECISION x,c(*)
INTEGER order,i,j,k
DOUBLE PRECISION xs,n,d,tmp,t2,t1
xs=(x-6.103075000000000D0)/(5.409925000000000D0)
i=order
j=order
IF (MOD(order,2).EQ.1) THEN
i=i-1
ELSE
j=j-1
ENDIF
t2=0.0
t1=0.0
DO 10 k=i+1,3,-2
tmp=t1
t1=2*xs*t1-t2+c(k)
t2=tmp
10 CONTINUE
n=xs*t1-t2+c(1)
t2=0.0
t1=0.0
DO 20 k=j+1,2,-2
tmp=t1
t1=2*xs*t1-t2+c(k)
t2=tmp
20 CONTINUE
d=xs*t1-t2+1.0
IF (d.EQ.0.0) THEN
EVALCRATL=0.0
ELSE
EVALCRATL=n/d
ENDIF
END
*----------------------------------------------------------*
SUBROUTINE bez03 (x,y)
*----------------------------------------------------------*
***** TableCurve E:\codes\adpak\runs\Be\Bezfit03.for Nov 19, 2001 1:15:16 PM
***** E:\codes\adpak\runs\Be\Befits_03.txt
***** X= log_TeV
***** Y= Zavg
***** Eqn# 7619 Chebyshev Rational Order 9/10
***** r2=0.9994810263180712
***** r2adj=0.9990485482497972
***** StdErr=0.02699992369891673
***** Fval=2534.052610700318
***** a= 3.613239677578622
***** b= 1.807072773800744
***** c= 6.685980183498011
***** d= 1.580135786777951
***** e= 5.681080175059318