LHAPDF/lhapdf5.3.1/wrapmrst2006.f

   1       subroutine MRST2006evolve(x,Q,pdf)
   2       implicit none
   3 c      implicit real*8 (a-h,o-z)
   4       include 'parmsetup.inc'
   5       character*16 name(nmxset)
   6       integer i,f,nhess,nx,nq,np,nqc0,nqb0,nqc,nqb,n,m,io
   7       double precision x,q,xmin,xmax,qsqmin,qsqmax,emc2,emb2,eps,
   8      &   dummy,qsq,xlog,qsqlog,res,ExtrapLHAPDF,InterpLHAPDF
   9       double precision emc2minuseps,emb2minuseps
  10       double precision xsave,q2save
  11       double precision pdf(-6:6),alfas,Qalfa,Q2fit,eorder
  12       double precision upv,dnv,glu,usea,str,dsea,sbar,chm,bot
  13       integer iset,nflav,mem,nset,nmem(nmxset),ndef(nmxset),mmem,imem
  14       common/NAME/name,nmem,ndef,mmem
  15       parameter(nx=64,nq=48,np=9,nqc0=4,nqb0=14,nqc=nq-nqc0,nqb=nq-nqb0)
  16       parameter(xmin=1d-6,xmax=1d0,qsqmin=1d0,qsqmax=1d9,eps=1d-6)
  17       parameter(nhess=30,emc2=1.43d0**2,emb2=4.3d0**2) ! MRST 2006 NNLO
  18       parameter(emc2minuseps=emc2-eps,emb2minuseps=emb2-eps)
  19       double precision f1(nx,nq),f2(nx,nq),f3(nx,nq),f4(nx,nq),
  20      &     f5(nx,nq),f6(nx,nq),f7(nx,nq),f8(nx,nq),fc(nx,nqc),
  21      &     fb(nx,nqb),f9(nx,nq)
  22       double precision qq(nq),xx(nx),cc1(0:nhess,nx,nq,4,4),
  23      &     cc2(0:nhess,nx,nq,4,4),cc3(0:nhess,nx,nq,4,4),
  24      &     cc4(0:nhess,nx,nq,4,4),cc6(0:nhess,nx,nq,4,4),
  25      &     cc8(0:nhess,nx,nq,4,4),cc9(0:nhess,nx,nq,4,4),
  26      &     ccc(0:nhess,nx,nqc,4,4),ccb(0:nhess,nx,nqb,4,4)
  27       double precision xxl(nx),qql(nq),qqlc(nqc),qqlb(nqb)
  28       data xx/1d-6,2d-6,4d-6,6d-6,8d-6,
  29      &     1d-5,2d-5,4d-5,6d-5,8d-5,
  30      &     1d-4,2d-4,4d-4,6d-4,8d-4,
  31      &     1d-3,2d-3,4d-3,6d-3,8d-3,
  32      &     1d-2,1.4d-2,2d-2,3d-2,4d-2,6d-2,8d-2,
  33      &     .1d0,.125d0,.15d0,.175d0,.2d0,.225d0,.25d0,.275d0,
  34      &     .3d0,.325d0,.35d0,.375d0,.4d0,.425d0,.45d0,.475d0,
  35      &     .5d0,.525d0,.55d0,.575d0,.6d0,.625d0,.65d0,.675d0,
  36      &     .7d0,.725d0,.75d0,.775d0,.8d0,.825d0,.85d0,.875d0,
  37      &     .9d0,.925d0,.95d0,.975d0,1d0/
  38       data qq/1.d0,
  39      &     1.25d0,1.5d0,emc2minuseps,emc2,2.5d0,3.2d0,4d0,5d0,6.4d0,8d0,
  40      &     1d1,1.2d1,emb2minuseps,emb2,2.6d1,4d1,6.4d1,1d2,
  41      &     1.6d2,2.4d2,4d2,6.4d2,1d3,1.8d3,3.2d3,5.6d3,1d4,
  42      &     1.8d4,3.2d4,5.6d4,1d5,1.8d5,3.2d5,5.6d5,1d6,
  43      &     1.8d6,3.2d6,5.6d6,1d7,1.8d7,3.2d7,5.6d7,1d8,
  44      &     1.8d8,3.2d8,5.6d8,1d9/
  45       save
  46
  47       xsave=x
  48       qsq=q*q
  49       q2save=qsq
  50
  51
  52       if (qsq.gt.qq(nqc0).and.qsq.lt.qq(nqc0+1)) qsq = qq(nqc0)
  53       if (qsq.gt.qq(nqb0).and.qsq.lt.qq(nqb0+1)) qsq = qq(nqb0)
  54
  55       xlog=log10(x)
  56       qsqlog=log10(qsq)
  57
  58       call getnset(iset)
  59       call getnmem(iset,imem)
  60
  61       upv =  0.d0
  62       dnv =  0.d0
  63       glu =  0.d0
  64       usea = 0.d0
  65       str =  0.d0
  66       dsea = 0.d0
  67       sbar = 0.d0
  68       chm =  0.d0
  69       bot =  0.d0
  70
  71       if (x.le.0.d0.or.x.gt.xmax.or.qsq.lt.qsqmin) then
  72          print *,"Error in GetOnePDF: x,qsq = ",x,qsq
  73       else if (x.lt.xmin.or.qsq.gt.qsqmax) then ! extrapolate
  74          print *, "Warning in GetOnePDF, extrapolating: f = ",f,
  75      &           ", x = ",x,", q = ",q
  76          upv =  ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc1)
  77          dnv =  ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc2)
  78          glu =  ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc3)
  79          usea = ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc4)
  80          str =  ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc6)
  81          dsea = ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc8)
  82          sbar = ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc9)
  83          if (qsq.ge.emc2) then ! chm
  84         chm = ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nqc,xxl,qqlc,ccc)
  85          endif
  86          if (qsq.ge.emb2) then ! bot
  87         bot = ExtrapLHAPDF(imem,nhess,xlog,qsqlog,nx,nqb,xxl,qqlb,ccb)
  88          endif
  89       else
  90          upv =  InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc1)
  91          dnv =  InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc2)
  92          glu =  InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc3)
  93          usea = InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc4)
  94          str =  InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc6)
  95          dsea = InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc8)
  96          sbar = InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nq,xxl,qql,cc9)
  97          if (qsq.ge.emc2) then ! chm
  98         chm = InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nqc,xxl,qqlc,ccc)
  99          endif
 100          if (qsq.ge.emb2) then ! bot
 101         bot = InterpLHAPDF(imem,nhess,xlog,qsqlog,nx,nqb,xxl,qqlb,ccb)
 102          endif
 103
 104       end if
 105
 106       pdf(0)  = glu
 107       pdf(1)  = dnv+dsea
 108       pdf(-1) = dsea
 109       pdf(2)  = upv+usea
 110       pdf(-2) = usea
 111       pdf(3)  = str
 112       pdf(-3) = sbar
 113       pdf(4)  = chm
 114       pdf(-4) = chm
 115       pdf(5)  = bot
 116       pdf(-5) = bot
 117       pdf(6)  = 0.0d0
 118       pdf(-6) = 0.0d0
 119
 120       x=xsave
 121       qsq=q2save
 122       return
 123 *
 124
 125 C----------------------------------------------------------------------
 126
 127       entry MRST2006read(nset)
 128          read(1,*)nmem(nset),ndef(nset)
 129
 130
 131       do i = 0,nhess
 132
 133
 134         do  n=1,nx-1
 135           do  m=1,nq
 136 c            print *,i,n,m
 137             read(1,50) f1(n,m),f2(n,m),f3(n,m),f4(n,m),
 138      &           f5(n,m),f7(n,m),f6(n,m),f8(n,m),f9(n,m)
 139 c            write(6,50) f1(n,m),f2(n,m),f3(n,m),f4(n,m),
 140 c     &           f5(n,m),f7(n,m),f6(n,m),f8(n,m),f9(n,m)
 141 C--   Notation:1=upv 2=dnv 3=glu 4=usea 5=chm 6=str 7=bot 8=dsea 9=sbar
 142           enddo
 143         enddo
 144 c      write(*,*)'PDF set ',i,' first element ',f1(1,1)
 145         do m=1,nq
 146            f1(nx,m)=0d0
 147            f2(nx,m)=0d0
 148            f3(nx,m)=0d0
 149            f4(nx,m)=0d0
 150            f5(nx,m)=0d0
 151            f6(nx,m)=0d0
 152            f7(nx,m)=0d0
 153            f8(nx,m)=0d0
 154            f9(nx,m)=0d0
 155         enddo
 156
 157         do n=1,nx
 158            xxl(n)=log10(xx(n))
 159         enddo
 160         do m=1,nq
 161            qql(m)=log10(qq(m))
 162         enddo
 163
 164         call InitialLHAPDF(i,nhess,nx,nq,nqc0,nqb0,xxl,qql,f1,cc1)
 165         call InitialLHAPDF(i,nhess,nx,nq,nqc0,nqb0,xxl,qql,f2,cc2)
 166         call InitialLHAPDF(i,nhess,nx,nq,nqc0,nqb0,xxl,qql,f3,cc3)
 167         call InitialLHAPDF(i,nhess,nx,nq,nqc0,nqb0,xxl,qql,f4,cc4)
 168         call InitialLHAPDF(i,nhess,nx,nq,nqc0,nqb0,xxl,qql,f6,cc6)
 169         call InitialLHAPDF(i,nhess,nx,nq,nqc0,nqb0,xxl,qql,f8,cc8)
 170         call InitialLHAPDF(i,nhess,nx,nq,nqc0,nqb0,xxl,qql,f9,cc9)
 171
 172         do m=1,nqc
 173            qqlc(m)=qql(m+nqc0)
 174            do  n=1,nx
 175               fc(n,m)=f5(n,m+nqc0)
 176            enddo
 177         enddo
 178         call InitialLHAPDF(i,nhess,nx,nqc,nqc0-nqc0,nqb0-nqc0,
 179      &     xxl,qqlc,fc,ccc)
 180
 181         do m=1,nqb
 182            qqlb(m)=qql(m+nqb0)
 183            do n=1,nx
 184               fb(n,m)=f7(n,m+nqb0)
 185            enddo
 186         enddo
 187         call InitialLHAPDF(i,nhess,nx,nqb,nqc0-nqb0,nqb0-nqb0,
 188      &     xxl,qqlb,fb,ccb)
 189
 190       enddo
 191
 192   50  format(9e13.5)
 193       return
 194 C----------------------------------------------------------------------
 195
 196       entry MRST2006alfa(nflav,alfas,Qalfa)
 197 c        print *,'MRST2006alfa',nflav,alfas,Qalfa
 198         call getnset(iset)
 199         call alphamrs(nflav,alfas,Qalfa)
 200 c        print *,'MRST2006alfa',nflav,alfas,Qalfa
 201       return
 202 *
 203 C----------------------------------------------------------------------
 204       entry MRST2006init(Eorder,Q2fit)
 205       return
 206 C----------------------------------------------------------------------
 207 *
 208       entry MRST2006pdf(mem)
 209         call getnset(iset)
 210         call setnmem(iset,mem)
 211       return
 212 *
 213       end
 214
 215 C----------------------------------------------------------------------
 216
 217       subroutine InitialLHAPDF(i,nhess,nx,my,myc0,myb0,xx,yy,ff,cc)
 218       implicit none
 219       integer nhess,i,nx,my,myc0,myb0,j,k,l,m,n
 220       double precision xx(nx),yy(my),ff(nx,my),
 221      &     ff1(nx,my),ff2(nx,my),
 222      &     ff12(nx,my),yy0(4),yy1(4),yy2(4),yy12(4),z(16),
 223      &     cl(16),cc(0:nhess,nx,my,4,4),iwt(16,16),
 224      &     dx,dy,polderiv,d1,d2,d1d2,xxd
 225
 226       data iwt/1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
 227      &     0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
 228      &     -3,0,0,3,0,0,0,0,-2,0,0,-1,0,0,0,0,
 229      &     2,0,0,-2,0,0,0,0,1,0,0,1,0,0,0,0,
 230      &     0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
 231      &     0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
 232      &     0,0,0,0,-3,0,0,3,0,0,0,0,-2,0,0,-1,
 233      &     0,0,0,0,2,0,0,-2,0,0,0,0,1,0,0,1,
 234      &     -3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0,
 235      &     0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0,
 236      &     9,-9,9,-9,6,3,-3,-6,6,-6,-3,3,4,2,1,2,
 237      &     -6,6,-6,6,-4,-2,2,4,-3,3,3,-3,-2,-1,-1,-2,
 238      &     2,-2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
 239      &     0,0,0,0,0,0,0,0,2,-2,0,0,1,1,0,0,
 240      &     -6,6,-6,6,-3,-3,3,3,-4,4,2,-2,-2,-2,-1,-1,
 241      &     4,-4,4,-4,2,2,-2,-2,2,-2,-2,2,1,1,1,1/
 242
 243       do m=1,my
 244          dx=xx(2)-xx(1)
 245          ff1(1,m)=(ff(2,m)-ff(1,m))/dx
 246          dx=xx(nx)-xx(nx-1)
 247          ff1(nx,m)=(ff(nx,m)-ff(nx-1,m))/dx
 248          do n=2,nx-1
 249             ff1(n,m)=polderiv(xx(n-1),xx(n),xx(n+1),ff(n-1,m),ff(n,m),
 250      x           ff(n+1,m))
 251          enddo
 252       enddo
 253
 254 C--   Calculate the derivatives at qsq=emc2-eps,emc2,emb2-eps,emb2
 255 C--   in a similar way as at the endpoints qsqmin and qsqmax.
 256       do n=1,nx
 257          do m = 1, my
 258             if (m.eq.1.or.m.eq.myc0+1.or.m.eq.myb0+1) then
 259                dy=yy(m+1)-yy(m)
 260                ff2(n,m)=(ff(n,m+1)-ff(n,m))/dy
 261             else if (m.eq.my.or.m.eq.myc0.or.m.eq.myb0) then
 262                dy=yy(m)-yy(m-1)
 263                ff2(n,m)=(ff(n,m)-ff(n,m-1))/dy
 264             else
 265                ff2(n,m)=polderiv(yy(m-1),yy(m),yy(m+1),ff(n,m-1),
 266      &              ff(n,m),ff(n,m+1))
 267             end if
 268          end do
 269       end do
 270
 271       do m=1,my
 272          dx=xx(2)-xx(1)
 273          ff12(1,m)=(ff2(2,m)-ff2(1,m))/dx
 274          dx=xx(nx)-xx(nx-1)
 275          ff12(nx,m)=(ff2(nx,m)-ff2(nx-1,m))/dx
 276          do n=2,nx-1
 277             ff12(n,m)=polderiv(xx(n-1),xx(n),xx(n+1),ff2(n-1,m),
 278      x           ff2(n,m),ff2(n+1,m))
 279          enddo
 280       enddo
 281
 282       do n=1,nx-1
 283          do m=1,my-1
 284             d1=xx(n+1)-xx(n)
 285             d2=yy(m+1)-yy(m)
 286             d1d2=d1*d2
 287
 288             yy0(1)=ff(n,m)
 289             yy0(2)=ff(n+1,m)
 290             yy0(3)=ff(n+1,m+1)
 291             yy0(4)=ff(n,m+1)
 292
 293             yy1(1)=ff1(n,m)
 294             yy1(2)=ff1(n+1,m)
 295             yy1(3)=ff1(n+1,m+1)
 296             yy1(4)=ff1(n,m+1)
 297
 298             yy2(1)=ff2(n,m)
 299             yy2(2)=ff2(n+1,m)
 300             yy2(3)=ff2(n+1,m+1)
 301             yy2(4)=ff2(n,m+1)
 302
 303             yy12(1)=ff12(n,m)
 304             yy12(2)=ff12(n+1,m)
 305             yy12(3)=ff12(n+1,m+1)
 306             yy12(4)=ff12(n,m+1)
 307
 308             do k=1,4
 309                z(k)=yy0(k)
 310                z(k+4)=yy1(k)*d1
 311                z(k+8)=yy2(k)*d2
 312                z(k+12)=yy12(k)*d1d2
 313             enddo
 314
 315             do l=1,16
 316                xxd=0.d0
 317                do k=1,16
 318                   xxd=xxd+iwt(k,l)*z(k)
 319                enddo
 320                cl(l)=xxd
 321             enddo
 322             l=0
 323             do k=1,4
 324                do j=1,4
 325                   l=l+1
 326                   cc(i,n,m,k,j)=cl(l)
 327                enddo
 328             enddo
 329          enddo
 330       enddo
 331       return
 332       end
 333
 334 C----------------------------------------------------------------------
 335
 336       double precision function InterpLHAPDF(i,nhess,x,y,nx,my,xx,yy,
 337      &     cc)
 338       implicit none
 339       integer i,nx,my,nhess,locx,l,m,n
 340       double precision xx(nx),yy(my),cc(0:nhess,nx,my,4,4),
 341      &     x,y,z,t,u
 342
 343       n=locx(xx,nx,x)
 344       m=locx(yy,my,y)
 345
 346       t=(x-xx(n))/(xx(n+1)-xx(n))
 347       u=(y-yy(m))/(yy(m+1)-yy(m))
 348
 349       z=0.d0
 350       do l=4,1,-1
 351          z=t*z+((cc(i,n,m,l,4)*u+cc(i,n,m,l,3))*u
 352      .        +cc(i,n,m,l,2))*u+cc(i,n,m,l,1)
 353       enddo
 354
 355       InterpLHAPDF = z
 356
 357       return
 358       end
 359
 360 C----------------------------------------------------------------------
 361
 362       double precision function ExtrapLHAPDF(i,nhess,x,y,nx,my,xx,yy,
 363      &     cc)
 364       implicit none
 365       integer i,nx,my,nhess,locx,n,m
 366       double precision xx(nx),yy(my),cc(0:nhess,nx,my,4,4),
 367      &     x,y,z,f0,f1,z0,z1,InterpLHAPDF
 368
 369       n=locx(xx,nx,x)           ! 0: below xmin, nx: above xmax
 370       m=locx(yy,my,y)           ! 0: below qsqmin, my: above qsqmax
 371
 372 C--   If extrapolation in small x only:
 373       if (n.eq.0.and.m.gt.0.and.m.lt.my) then
 374          f0 = InterpLHAPDF(i,nhess,xx(1),y,nx,my,xx,yy,cc)
 375          f1 = InterpLHAPDF(i,nhess,xx(2),y,nx,my,xx,yy,cc)
 376          if (f0.gt.0.d0.and.f1.gt.0.d0) then
 377             z = exp(log(f0)+(log(f1)-log(f0))/(xx(2)-xx(1))*(x-xx(1)))
 378          else
 379             z = f0+(f1-f0)/(xx(2)-xx(1))*(x-xx(1))
 380          end if
 381 C--   If extrapolation into large q only:
 382       else if (n.gt.0.and.m.eq.my) then
 383          f0 = InterpLHAPDF(i,nhess,x,yy(my),nx,my,xx,yy,cc)
 384          f1 = InterpLHAPDF(i,nhess,x,yy(my-1),nx,my,xx,yy,cc)
 385          if (f0.gt.0.d0.and.f1.gt.0.d0) then
 386             z = exp(log(f0)+(log(f0)-log(f1))/(yy(my)-yy(my-1))*
 387      &           (y-yy(my)))
 388          else
 389             z = f0+(f0-f1)/(yy(my)-yy(my-1))*(y-yy(my))
 390          end if
 391 C--   If extrapolation into large q AND small x:
 392       else if (n.eq.0.and.m.eq.my) then
 393          f0 = InterpLHAPDF(i,nhess,xx(1),yy(my),nx,my,xx,yy,cc)
 394          f1 = InterpLHAPDF(i,nhess,xx(1),yy(my-1),nx,my,xx,yy,cc)
 395          if (f0.gt.0.d0.and.f1.gt.0.d0) then
 396             z0 = exp(log(f0)+(log(f0)-log(f1))/(yy(my)-yy(my-1))*
 397      &           (y-yy(my)))
 398          else
 399             z0 = f0+(f0-f1)/(yy(my)-yy(my-1))*(y-yy(my))
 400          end if
 401          f0 = InterpLHAPDF(i,nhess,xx(2),yy(my),nx,my,xx,yy,cc)
 402          f1 = InterpLHAPDF(i,nhess,xx(2),yy(my-1),nx,my,xx,yy,cc)
 403          if (f0.gt.0.d0.and.f1.gt.0.d0) then
 404             z1 = exp(log(f0)+(log(f0)-log(f1))/(yy(my)-yy(my-1))*
 405      &           (y-yy(my)))
 406          else
 407             z1 = f0+(f0-f1)/(yy(my)-yy(my-1))*(y-yy(my))
 408          end if
 409          if (z0.gt.0.d0.and.z1.gt.0.d0) then
 410             z = exp(log(z0)+(log(z1)-log(z0))/(xx(2)-xx(1))*(x-xx(1)))
 411          else
 412             z = z0+(z1-z0)/(xx(2)-xx(1))*(x-xx(1))
 413          end if
 414       else
 415          print *,"Error in ExtrapLHAPDF"
 416          stop
 417       end if
 418
 419       ExtrapLHAPDF = z
 420
 421       return
 422       end
 423
 424 C----------------------------------------------------------------------