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Introduce iterator for looping over clusters
[u/mrichter/AliRoot.git] / LHAPDF / lhapdf5.3.1 / wrapmrst2006.f
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4e9e3152 1 subroutine MRST2006evolve(x,Q,pdf)
2 implicit none
3c 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
125C----------------------------------------------------------------------
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
136c 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)
139c write(6,50) f1(n,m),f2(n,m),f3(n,m),f4(n,m),
140c & f5(n,m),f7(n,m),f6(n,m),f8(n,m),f9(n,m)
141C-- Notation:1=upv 2=dnv 3=glu 4=usea 5=chm 6=str 7=bot 8=dsea 9=sbar
142 enddo
143 enddo
144c 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
194C----------------------------------------------------------------------
195
196 entry MRST2006alfa(nflav,alfas,Qalfa)
197c print *,'MRST2006alfa',nflav,alfas,Qalfa
198 call getnset(iset)
199 call alphamrs(nflav,alfas,Qalfa)
200c print *,'MRST2006alfa',nflav,alfas,Qalfa
201 return
202*
203C----------------------------------------------------------------------
204 entry MRST2006init(Eorder,Q2fit)
205 return
206C----------------------------------------------------------------------
207*
208 entry MRST2006pdf(mem)
209 call getnset(iset)
210 call setnmem(iset,mem)
211 return
212*
213 end
214
215C----------------------------------------------------------------------
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
254C-- Calculate the derivatives at qsq=emc2-eps,emc2,emb2-eps,emb2
255C-- 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
334C----------------------------------------------------------------------
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
360C----------------------------------------------------------------------
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
372C-- 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
381C-- 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
391C-- 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
424C----------------------------------------------------------------------