Grid Helper Package

BeginPackage["DSSgridhelper`"]
(* Written by William Horowitz (horowitz atsym phys . columbia . edu), 12/23/07. *) (* Part of port from fDSS.f and its related grids emailed to me by Werner Vogelsgang, April 2008 *)

pilogrid::"usage"=""
pinlogrid::"usage"=""
prologrid::"usage"=""
pronlogrid::"usage"=""
hlogrid::"usage"=""
hnlogrid::"usage"=""
kalogrid::"usage"=""
kanlogrid::"usage"=""

Begin["privateDSShelper`"];
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End[];
EndPackage[];

DSS Package

BeginPackage["DSS`",{"DSSgridhelper`"}];
(* Written by William Horowitz (horowitz atsym phys . columbia . edu), 12/23/07. *) (* Part of the port (together with Grid Helper Package) from fDSS.f and its related grids emailed to me by Werner Vogelsgang, April 2008 *)

(* 
INPUT:
IH=hadron type 
1:PION
2:KAON
3:PROTON
4:CHARGED HADRONS

C=Hadron Charge
0:0 (as average of+and-)
1:+
-1:-

IO=Order 
0:LO
1:NLO

X (between 0.05 and 1.0)
Q2=scale in GeV**2 (between 1.0 and 1.D5)
(for values outside the allowed range the program writes a warning and extrapolates to the x and Q2 values requested)

OUTPUT:U,UB,D,DB,S,SB,C,B,GL
U Ubar D Dbar S Sbar Charm=Cbar Bottom=Bbar Gluon
Always X times the distribution is returned 
*)

fDSS::"usage"="fDSS(IH,IC,IO,X,Q2) returns a list of the {U(X,Q2),UB(X,Q2),D,DB,S,SB,C,B,GL}, where Q2 is in (GeV^2)";

DSS::xarg="Parton interpolation: x out of range";
DSS::qsarg="Parton interpolation: qs out of range";
DSS::input1="Incorrect inputs in IH, IC, or IO or x is outside of (0,1) or qs < 0";
DSS::input2="Incorrect input";

Begin["DSS`private`"];
SetOptions[Interpolation,InterpolationOrder->1];
NX=35;
NQ=24;

QS={1.`,1.25`,1.5`,2.5`,4.`,6.4`,10.`,15.`,25.`,40.`,64.`,100.`,180.`,320.`,580.`,1000.`,1800.`,3200.`,5800.`,10000.`,18000.`,32000.`,58000.`,100000.`};
XB={0.01`,0.02`,0.03`,0.04`,0.05`,0.06`,0.07`,0.08`,0.09`,0.095`,0.1`,0.125`,0.15`,0.175`,0.2`,0.225`,0.25`,0.275`,0.3`,0.325`,0.35`,0.375`,0.4`,0.45`,0.5`,0.55`,0.6`,0.65`,0.7`,0.75`,0.8`,0.85`,0.9`,0.93`,1.`};

LOpiparton=Table[DSSgridhelper`pilogrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];
NLOpiparton=Table[DSSgridhelper`pinlogrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];
LOproparton=Table[DSSgridhelper`prologrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];
NLOproparton=Table[DSSgridhelper`pronlogrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];
LOhparton=Table[DSSgridhelper`hlogrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];
NLOhparton=Table[DSSgridhelper`hnlogrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];
LOkaparton=Table[DSSgridhelper`kalogrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];
NLOkaparton=Table[DSSgridhelper`kanlogrid[[(m-1) NQ+n]],{m,1,NX-1},{n,1,NQ}];

lopiXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lopiXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOpiparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

lopiXUTOTF=Join[lopiXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXDTOTF=Join[lopiXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXSTOTF=Join[lopiXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXCTOTF=Join[lopiXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXBTOTF=Join[lopiXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXGF=Join[lopiXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXUVALF=Join[lopiXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXDVALF=Join[lopiXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lopiXSVALF=Join[lopiXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

flopiXUTOTF=Interpolation[lopiXUTOTF];
flopiXDTOTF=Interpolation[lopiXDTOTF];
flopiXSTOTF=Interpolation[lopiXSTOTF];
flopiXCTOTF=Interpolation[lopiXCTOTF];
flopiXBTOTF=Interpolation[lopiXBTOTF];
flopiXGF=Interpolation[lopiXGF];
flopiXUVALF=Interpolation[lopiXUVALF];
flopiXDVALF=Interpolation[lopiXDVALF];
flopiXSVALF=Interpolation[lopiXSVALF];

lopiUTOT[x_,qs_]=flopiXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lopiDTOT[x_,qs_]=flopiXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lopiSTOT[x_,qs_]=flopiXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lopiCTOT[x_,qs_]=flopiXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
lopiBTOT[x_,qs_]=flopiXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
lopiGF[x_,qs_]=flopiXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
lopiUVAL[x_,qs_]=flopiXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lopiDVAL[x_,qs_]=flopiXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lopiSVAL[x_,qs_]=flopiXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

loproXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
loproXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOproparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

loproXUTOTF=Join[loproXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXDTOTF=Join[loproXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXSTOTF=Join[loproXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXCTOTF=Join[loproXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXBTOTF=Join[loproXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXGF=Join[loproXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXUVALF=Join[loproXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXDVALF=Join[loproXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
loproXSVALF=Join[loproXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

floproXUTOTF=Interpolation[loproXUTOTF];
floproXDTOTF=Interpolation[loproXDTOTF];
floproXSTOTF=Interpolation[loproXSTOTF];
floproXCTOTF=Interpolation[loproXCTOTF];
floproXBTOTF=Interpolation[loproXBTOTF];
floproXGF=Interpolation[loproXGF];
floproXUVALF=Interpolation[loproXUVALF];
floproXDVALF=Interpolation[loproXDVALF];
floproXSVALF=Interpolation[loproXSVALF];

loproUTOT[x_,qs_]=floproXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
loproDTOT[x_,qs_]=floproXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
loproSTOT[x_,qs_]=floproXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
loproCTOT[x_,qs_]=floproXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
loproBTOT[x_,qs_]=floproXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
loproGF[x_,qs_]=floproXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
loproUVAL[x_,qs_]=floproXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
loproDVAL[x_,qs_]=floproXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
loproSVAL[x_,qs_]=floproXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

lohXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lohXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOhparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

lohXUTOTF=Join[lohXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXDTOTF=Join[lohXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXSTOTF=Join[lohXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXCTOTF=Join[lohXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXBTOTF=Join[lohXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXGF=Join[lohXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXUVALF=Join[lohXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXDVALF=Join[lohXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lohXSVALF=Join[lohXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

flohXUTOTF=Interpolation[lohXUTOTF];
flohXDTOTF=Interpolation[lohXDTOTF];
flohXSTOTF=Interpolation[lohXSTOTF];
flohXCTOTF=Interpolation[lohXCTOTF];
flohXBTOTF=Interpolation[lohXBTOTF];
flohXGF=Interpolation[lohXGF];
flohXUVALF=Interpolation[lohXUVALF];
flohXDVALF=Interpolation[lohXDVALF];
flohXSVALF=Interpolation[lohXSVALF];

lohUTOT[x_,qs_]=flohXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lohDTOT[x_,qs_]=flohXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lohSTOT[x_,qs_]=flohXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lohCTOT[x_,qs_]=flohXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
lohBTOT[x_,qs_]=flohXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
lohGF[x_,qs_]=flohXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
lohUVAL[x_,qs_]=flohXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lohDVAL[x_,qs_]=flohXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lohSVAL[x_,qs_]=flohXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

lokaXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
lokaXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],LOkaparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

lokaXUTOTF=Join[lokaXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXDTOTF=Join[lokaXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXSTOTF=Join[lokaXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXCTOTF=Join[lokaXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXBTOTF=Join[lokaXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXGF=Join[lokaXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXUVALF=Join[lokaXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXDVALF=Join[lokaXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
lokaXSVALF=Join[lokaXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

flokaXUTOTF=Interpolation[lokaXUTOTF];
flokaXDTOTF=Interpolation[lokaXDTOTF];
flokaXSTOTF=Interpolation[lokaXSTOTF];
flokaXCTOTF=Interpolation[lokaXCTOTF];
flokaXBTOTF=Interpolation[lokaXBTOTF];
flokaXGF=Interpolation[lokaXGF];
flokaXUVALF=Interpolation[lokaXUVALF];
flokaXDVALF=Interpolation[lokaXDVALF];
flokaXSVALF=Interpolation[lokaXSVALF];

lokaUTOT[x_,qs_]=flokaXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lokaDTOT[x_,qs_]=flokaXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lokaSTOT[x_,qs_]=flokaXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lokaCTOT[x_,qs_]=flokaXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
lokaBTOT[x_,qs_]=flokaXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
lokaGF[x_,qs_]=flokaXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
lokaUVAL[x_,qs_]=flokaXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lokaDVAL[x_,qs_]=flokaXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
lokaSVAL[x_,qs_]=flokaXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

nlopiXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlopiXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOpiparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

nlopiXUTOTF=Join[nlopiXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXDTOTF=Join[nlopiXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXSTOTF=Join[nlopiXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXCTOTF=Join[nlopiXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXBTOTF=Join[nlopiXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXGF=Join[nlopiXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXUVALF=Join[nlopiXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXDVALF=Join[nlopiXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlopiXSVALF=Join[nlopiXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

fnlopiXUTOTF=Interpolation[nlopiXUTOTF];
fnlopiXDTOTF=Interpolation[nlopiXDTOTF];
fnlopiXSTOTF=Interpolation[nlopiXSTOTF];
fnlopiXCTOTF=Interpolation[nlopiXCTOTF];
fnlopiXBTOTF=Interpolation[nlopiXBTOTF];
fnlopiXGF=Interpolation[nlopiXGF];
fnlopiXUVALF=Interpolation[nlopiXUVALF];
fnlopiXDVALF=Interpolation[nlopiXDVALF];
fnlopiXSVALF=Interpolation[nlopiXSVALF];

nlopiUTOT[x_,qs_]=fnlopiXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlopiDTOT[x_,qs_]=fnlopiXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlopiSTOT[x_,qs_]=fnlopiXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlopiCTOT[x_,qs_]=fnlopiXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nlopiBTOT[x_,qs_]=fnlopiXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nlopiGF[x_,qs_]=fnlopiXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
nlopiUVAL[x_,qs_]=fnlopiXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlopiDVAL[x_,qs_]=fnlopiXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlopiSVAL[x_,qs_]=fnlopiXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

nloproXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nloproXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOproparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

nloproXUTOTF=Join[nloproXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXDTOTF=Join[nloproXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXSTOTF=Join[nloproXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXCTOTF=Join[nloproXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXBTOTF=Join[nloproXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXGF=Join[nloproXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXUVALF=Join[nloproXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXDVALF=Join[nloproXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nloproXSVALF=Join[nloproXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

fnloproXUTOTF=Interpolation[nloproXUTOTF];
fnloproXDTOTF=Interpolation[nloproXDTOTF];
fnloproXSTOTF=Interpolation[nloproXSTOTF];
fnloproXCTOTF=Interpolation[nloproXCTOTF];
fnloproXBTOTF=Interpolation[nloproXBTOTF];
fnloproXGF=Interpolation[nloproXGF];
fnloproXUVALF=Interpolation[nloproXUVALF];
fnloproXDVALF=Interpolation[nloproXDVALF];
fnloproXSVALF=Interpolation[nloproXSVALF];

nloproUTOT[x_,qs_]=fnloproXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nloproDTOT[x_,qs_]=fnloproXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nloproSTOT[x_,qs_]=fnloproXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nloproCTOT[x_,qs_]=fnloproXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nloproBTOT[x_,qs_]=fnloproXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nloproGF[x_,qs_]=fnloproXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
nloproUVAL[x_,qs_]=fnloproXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nloproDVAL[x_,qs_]=fnloproXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nloproSVAL[x_,qs_]=fnloproXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

nlohXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlohXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOhparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

nlohXUTOTF=Join[nlohXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXDTOTF=Join[nlohXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXSTOTF=Join[nlohXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXCTOTF=Join[nlohXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXBTOTF=Join[nlohXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXGF=Join[nlohXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXUVALF=Join[nlohXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXDVALF=Join[nlohXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlohXSVALF=Join[nlohXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

fnlohXUTOTF=Interpolation[nlohXUTOTF];
fnlohXDTOTF=Interpolation[nlohXDTOTF];
fnlohXSTOTF=Interpolation[nlohXSTOTF];
fnlohXCTOTF=Interpolation[nlohXCTOTF];
fnlohXBTOTF=Interpolation[nlohXBTOTF];
fnlohXGF=Interpolation[nlohXGF];
fnlohXUVALF=Interpolation[nlohXUVALF];
fnlohXDVALF=Interpolation[nlohXDVALF];
fnlohXSVALF=Interpolation[nlohXSVALF];

nlohUTOT[x_,qs_]=fnlohXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlohDTOT[x_,qs_]=fnlohXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlohSTOT[x_,qs_]=fnlohXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlohCTOT[x_,qs_]=fnlohXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nlohBTOT[x_,qs_]=fnlohXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nlohGF[x_,qs_]=fnlohXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
nlohUVAL[x_,qs_]=fnlohXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlohDVAL[x_,qs_]=fnlohXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlohSVAL[x_,qs_]=fnlohXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

nlokaXUTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,1]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXDTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,2]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXSTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,3]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXCTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,4]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXBTOTF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,5]]/((XB1^7) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXGF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,6]]/((XB1^4) (XB0^(.3)))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXUVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,7]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXDVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,8]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];
nlokaXSVALF=(XB0=XB[[#1]];XB1=1.-XB0;{Log[XB0],Log[QS[[#2]]],NLOkaparton[[#1,#2,9]]/((XB1^4) (Sqrt[XB0]))})&@@@Tuples[{Range[NX-1],Range[NQ]}];

nlokaXUTOTF=Join[nlokaXUTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXDTOTF=Join[nlokaXDTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXSTOTF=Join[nlokaXSTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXCTOTF=Join[nlokaXCTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXBTOTF=Join[nlokaXBTOTF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXGF=Join[nlokaXGF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXUVALF=Join[nlokaXUVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXDVALF=Join[nlokaXDVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];
nlokaXSVALF=Join[nlokaXSVALF,{Log[XB[[NX]]],Log[QS[[#]]],0.}&/@Range[NQ]];

fnlokaXUTOTF=Interpolation[nlokaXUTOTF];
fnlokaXDTOTF=Interpolation[nlokaXDTOTF];
fnlokaXSTOTF=Interpolation[nlokaXSTOTF];
fnlokaXCTOTF=Interpolation[nlokaXCTOTF];
fnlokaXBTOTF=Interpolation[nlokaXBTOTF];
fnlokaXGF=Interpolation[nlokaXGF];
fnlokaXUVALF=Interpolation[nlokaXUVALF];
fnlokaXDVALF=Interpolation[nlokaXDVALF];
fnlokaXSVALF=Interpolation[nlokaXSVALF];

nlokaUTOT[x_,qs_]=fnlokaXUTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlokaDTOT[x_,qs_]=fnlokaXDTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlokaSTOT[x_,qs_]=fnlokaXSTOTF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlokaCTOT[x_,qs_]=fnlokaXCTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nlokaBTOT[x_,qs_]=fnlokaXBTOTF[Log[x],Log[qs]] (1.-x)^7  (x^(.3));
nlokaGF[x_,qs_]=fnlokaXGF[Log[x],Log[qs]] (1.-x)^4 (x^(.3));
nlokaUVAL[x_,qs_]=fnlokaXUVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlokaDVAL[x_,qs_]=fnlokaXDVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);
nlokaSVAL[x_,qs_]=fnlokaXSVALF[Log[x],Log[qs]] (1.-x)^4 (Sqrt[x]);

fDSS[IH_Integer,IC_Integer,IO_Integer,x_?NumberQ,qs_?NumberQ]:=
If[
And[IH≠1,IH≠2,IH≠3,IH≠4]||And[IC≠-1,IC≠0,IC≠1]||And[IO≠0,IO≠1]||x>1||x<0||qs<0,
(* then *)
Message[DSS::input1];
Return[$Failed],
(* else *)
If[
x<.05,
Message[DSS::xarg]
];
If[
qs<1.||qs>(10^5),
Message[DSS::qsarg]
];
Which[
IH==1&&IO==0,
(* then LO Pion *)
UTOT[tx_,tqs_]=lopiUTOT[tx,tqs];
DTOT[tx_,tqs_]=lopiDTOT[tx,tqs];
STOT[tx_,tqs_]=lopiSTOT[tx,tqs];
CTOT[tx_,tqs_]=lopiCTOT[tx,tqs];
BTOT[tx_,tqs_]=lopiBTOT[tx,tqs];
GL[tx_,tqs_]=lopiGF[tx,tqs];
UVAL[tx_,tqs_]=lopiUVAL[tx,tqs];
DVAL[tx_,tqs_]=lopiDVAL[tx,tqs];
SVAL[tx_,tqs_]=lopiSVAL[tx,tqs],
IH==1&&IO==1,
(* then NLO Pion *)
UTOT[tx_,tqs_]=nlopiUTOT[tx,tqs];
DTOT[tx_,tqs_]=nlopiDTOT[tx,tqs];
STOT[tx_,tqs_]=nlopiSTOT[tx,tqs];
CTOT[tx_,tqs_]=nlopiCTOT[tx,tqs];
BTOT[tx_,tqs_]=nlopiBTOT[tx,tqs];
GL[tx_,tqs_]=nlopiGF[tx,tqs];
UVAL[tx_,tqs_]=nlopiUVAL[tx,tqs];
DVAL[tx_,tqs_]=nlopiDVAL[tx,tqs];
SVAL[tx_,tqs_]=nlopiSVAL[tx,tqs],
IH==2&&IO==0,
(* then LO Kaon *)
UTOT[tx_,tqs_]=lokaUTOT[tx,tqs];
DTOT[tx_,tqs_]=lokaDTOT[tx,tqs];
STOT[tx_,tqs_]=lokaSTOT[tx,tqs];
CTOT[tx_,tqs_]=lokaCTOT[tx,tqs];
BTOT[tx_,tqs_]=lokaBTOT[tx,tqs];
GL[tx_,tqs_]=lokaGF[tx,tqs];
UVAL[tx_,tqs_]=lokaUVAL[tx,tqs];
DVAL[tx_,tqs_]=lokaDVAL[tx,tqs];
SVAL[tx_,tqs_]=lokaSVAL[tx,tqs],
IH==2&&IO==1,
(* then NLO Kaon *)
UTOT[tx_,tqs_]=nlokaUTOT[tx,tqs];
DTOT[tx_,tqs_]=nlokaDTOT[tx,tqs];
STOT[tx_,tqs_]=nlokaSTOT[tx,tqs];
CTOT[tx_,tqs_]=nlokaCTOT[tx,tqs];
BTOT[tx_,tqs_]=nlokaBTOT[tx,tqs];
GL[tx_,tqs_]=nlokaGF[tx,tqs];
UVAL[tx_,tqs_]=nlokaUVAL[tx,tqs];
DVAL[tx_,tqs_]=nlokaDVAL[tx,tqs];
SVAL[tx_,tqs_]=nlokaSVAL[tx,tqs],
IH==3&&IO==0,
(* then LO Proton *)
UTOT[tx_,tqs_]=loproUTOT[tx,tqs];
DTOT[tx_,tqs_]=loproDTOT[tx,tqs];
STOT[tx_,tqs_]=loproSTOT[tx,tqs];
CTOT[tx_,tqs_]=loproCTOT[tx,tqs];
BTOT[tx_,tqs_]=loproBTOT[tx,tqs];
GL[tx_,tqs_]=loproGF[tx,tqs];
UVAL[tx_,tqs_]=loproUVAL[tx,tqs];
DVAL[tx_,tqs_]=loproDVAL[tx,tqs];
SVAL[tx_,tqs_]=loproSVAL[tx,tqs],
IH==3&&IO==1,
(* then NLO Proton *)
UTOT[tx_,tqs_]=nloproUTOT[tx,tqs];
DTOT[tx_,tqs_]=nloproDTOT[tx,tqs];
STOT[tx_,tqs_]=nloproSTOT[tx,tqs];
CTOT[tx_,tqs_]=nloproCTOT[tx,tqs];
BTOT[tx_,tqs_]=nloproBTOT[tx,tqs];
GL[tx_,tqs_]=nloproGF[tx,tqs];
UVAL[tx_,tqs_]=nloproUVAL[tx,tqs];
DVAL[tx_,tqs_]=nloproDVAL[tx,tqs];
SVAL[tx_,tqs_]=nloproSVAL[tx,tqs],
IH==4&&IO==0,
(* then LO Hadron *)
UTOT[tx_,tqs_]=lohUTOT[tx,tqs];
DTOT[tx_,tqs_]=lohDTOT[tx,tqs];
STOT[tx_,tqs_]=lohSTOT[tx,tqs];
CTOT[tx_,tqs_]=lohCTOT[tx,tqs];
BTOT[tx_,tqs_]=lohBTOT[tx,tqs];
GL[tx_,tqs_]=lohGF[tx,tqs];
UVAL[tx_,tqs_]=lohUVAL[tx,tqs];
DVAL[tx_,tqs_]=lohDVAL[tx,tqs];
SVAL[tx_,tqs_]=lohSVAL[tx,tqs],
IH==4&&IO==1,
(* then NLO Hadron *)
UTOT[tx_,tqs_]=nlohUTOT[tx,tqs];
DTOT[tx_,tqs_]=nlohDTOT[tx,tqs];
STOT[tx_,tqs_]=nlohSTOT[tx,tqs];
CTOT[tx_,tqs_]=nlohCTOT[tx,tqs];
BTOT[tx_,tqs_]=nlohBTOT[tx,tqs];
GL[tx_,tqs_]=nlohGF[tx,tqs];
UVAL[tx_,tqs_]=nlohUVAL[tx,tqs];
DVAL[tx_,tqs_]=nlohDVAL[tx,tqs];
SVAL[tx_,tqs_]=nlohSVAL[tx,tqs]
];
UP[tx_,tqs_]=(UTOT[tx,tqs]+UVAL[tx,tqs])/2.;
UBP[tx_,tqs_]=(UTOT[tx,tqs]-UVAL[tx,tqs])/2.;
DP[tx_,tqs_]=(DTOT[tx,tqs]+DVAL[tx,tqs])/2.;
DBP[tx_,tqs_]=(DTOT[tx,tqs]-DVAL[tx,tqs])/2.;
SP[tx_,tqs_]=(STOT[tx,tqs]+SVAL[tx,tqs])/2.;
SBP[tx_,tqs_]=(STOT[tx,tqs]-SVAL[tx,tqs])/2.;
CP[tx_,tqs_]=CTOT[tx,tqs]/2.;
BP[tx_,tqs_]=BTOT[tx,tqs]/2.;
Which[
IC==1,
Return[{UP[x,qs],UBP[x,qs],DP[x,qs],DBP[x,qs],SP[x,qs],SBP[x,qs],CP[x,qs],BP[x,qs],GL[x,qs]}],
IC==-1,
Return[{UBP[x,qs],UP[x,qs],DBP[x,qs],DP[x,qs],SBP[x,qs],SP[x,qs],CP[x,qs],BP[x,qs],GL[x,qs]}],
IC==0,
Return[{(UP[x,qs]+UBP[x,qs])/2.,(UP[x,qs]+UBP[x,qs])/2.,(DP[x,qs]+DBP[x,qs])/2.,(DP[x,qs]+DBP[x,qs])/2.,(SP[x,qs]+SBP[x,qs])/2.,(SP[x,qs]+SBP[x,qs])/2.,CP[x,qs],BP[x,qs],GL[x,qs]}]
];
];

fDSS[___]:=(Message[DSS::input2];Return[$Failed]);

SetOptions[Interpolation,InterpolationOrder->3];
End[];
EndPackage[];

Test

ih=Range[4];
iolist={0,1};
iclist={-1,0,1};
xlist={.05,.1,.3,.5,.7,.9,1.};
qslist={1.,5.,10.,100.,1000.,10000.,100000.};
testlist=Tuples[{ih,iclist,iolist,xlist,qslist}];
Length[testlist]

t1=AbsoluteTime[];
dssoutput=fDSS@@@testlist;
AbsoluteTime[]-t1

fxlist={"5.0D-2","1.0D-1","3.0D-1","5.0D-1","7.0D-1","9.0D-1","1.0D0"};
fqslist={"1.0D0","5.0D0","1.0D1","1.0D2","1.0D3","1.0D4","1.0D5"};
ftestlist=Tuples[{ih,iclist,iolist,fxlist,fqslist}];
Length[ftestlist]

SetDirectory["C:\\cygwin\\home\\gte581p\\Fragmentation\\DSS\\FromColumbia"]

Export["ftestlist.dat",ftestlist]

ftestresults=Import["ftestresults.dat"];

dssfout=Join[ftestresults[[3 (#-1)+1]],ftestresults[[3 (#-1)+2]],ftestresults[[3 (#-1)+3]]]&/@Range[1176];

dssoutputdiff=dssoutput-dssfout;

Max[Abs[dssoutputdiff]]

xlist2={.001,.016,.12,.27,.525,.76,.985};
qslist2={5.,30.,2000.,30000.,750000};
testlist2=Tuples[{ih,iclist,iolist,xlist2,qslist2}];
Length[testlist2]

t1=AbsoluteTime[];
dssoutput2=fDSS@@@testlist2;
AbsoluteTime[]-t1

fxlist2={"1.0D-3","1.6D-2","1.2D-1","2.7D-1","5.25D-1","7.6D-1","9.85D-1"};
fqslist2={"5.0D0","3.0D1","2.0D3","3.0D4","7.5D5"};
ftestlist2=Tuples[{ih,iclist,iolist,fxlist2,fqslist2}];
Length[ftestlist2]

Export["ftestlist2.dat",ftestlist2]

ftestresults2=Import["ftestresults2.dat"];

Length[ftestresults2]/3

dssfout2=Join[ftestresults2[[3 (#-1)+1]],ftestresults2[[3 (#-1)+2]],ftestresults2[[3 (#-1)+3]]]&/@Range[840];

dssoutputdiff2=dssoutput2-dssfout2;

Max[Abs[dssoutputdiff2]]

dsspercentoutputdiff=Max[Table[Abs[dssoutput2[[i,j]]-dssfout2[[i,j]]]/dssfout2[[i,j]],{i,1,840},{j,1,9}]]

xlist3={.016,.12,.27,.525,.76,.985};
qslist3={5.,30.,2000.,30000.};
testlist3=Tuples[{ih,iclist,iolist,xlist3,qslist3}];
Length[testlist3]

t1=AbsoluteTime[];
dssoutput3=fDSS@@@testlist3;
AbsoluteTime[]-t1

fxlist3={"1.6D-2","1.2D-1","2.7D-1","5.25D-1","7.6D-1","9.85D-1"};
fqslist3={"5.0D0","3.0D1","2.0D3","3.0D4"};
ftestlist3=Tuples[{ih,iclist,iolist,fxlist3,fqslist3}];
Length[ftestlist3]

Export["ftestlist3.dat",ftestlist3]

ftestresults3=Import["ftestresults3.dat"];

dssfout3=Join[ftestresults3[[3 (#-1)+1]],ftestresults3[[3 (#-1)+2]],ftestresults3[[3 (#-1)+3]]]&/@Range[576];

dssoutputdiff3=dssoutput3-dssfout3;

Max[Abs[dssoutputdiff3]]

dsspercentoutputdiff=Max[Table[Abs[dssoutput3[[i,j]]-dssfout3[[i,j]]]/dssfout3[[i,j]],{i,1,576},{j,1,9}]]