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Commit | Line | Data |
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4e9e3152 | 1 | subroutine MRSTevolve(x,Q,pdf) |
2 | implicit real*8(a-h,o-z) | |
3 | include 'parmsetup.inc' | |
4 | character*16 name(nmxset) | |
5 | integer nmem(nmxset),ndef(nmxset),mmem | |
6 | c integer member(nmxset) | |
7 | integer nset,iset | |
8 | common/NAME/name,nmem,ndef,mmem | |
9 | parameter(nx=49,nq=37,np=8,nqc0=2,nqb0=11,nqc=35,nqb=26, | |
10 | .nhess=30) | |
11 | real*8 pdf(-6:6) | |
12 | real*8 f1(nx,nq) | |
13 | .,f2(nx,nq) | |
14 | .,f3(nx,nq) | |
15 | .,f4(nx,nq) | |
16 | .,f5(nx,nq) | |
17 | .,f6(nx,nq) | |
18 | .,f7(nx,nq) | |
19 | .,f8(nx,nq) | |
20 | .,fc(nx,nqc),fb(nx,nqb) | |
21 | real*8 qq(nq),xx(nx), | |
22 | .cc1(0:nhess,nx,nq,4,4),cc2(0:nhess,nx,nq,4,4), | |
23 | .cc3(0:nhess,nx,nq,4,4),cc4(0:nhess,nx,nq,4,4), | |
24 | .cc6(0:nhess,nx,nq,4,4),cc8(0:nhess,nx,nq,4,4), | |
25 | .ccc(0:nhess,nx,nqc,4,4),ccb(0:nhess,nx,nqb,4,4) | |
26 | real*8 xxl(nx),qql(nq),qqlc(nqc),qqlb(nqb) | |
27 | data xx/1d-5,2d-5,4d-5,6d-5,8d-5, | |
28 | . 1d-4,2d-4,4d-4,6d-4,8d-4, | |
29 | . 1d-3,2d-3,4d-3,6d-3,8d-3, | |
30 | . 1d-2,1.4d-2,2d-2,3d-2,4d-2,6d-2,8d-2, | |
31 | . .1d0,.125d0,.15d0,.175d0,.2d0,.225d0,.25d0,.275d0, | |
32 | . .3d0,.325d0,.35d0,.375d0,.4d0,.425d0,.45d0,.475d0, | |
33 | . .5d0,.525d0,.55d0,.575d0,.6d0,.65d0,.7d0,.75d0, | |
34 | . .8d0,.9d0,1d0/ | |
35 | data qq/1.25d0,1.5d0,2d0,2.5d0,3.2d0,4d0,5d0,6.4d0,8d0,1d1, | |
36 | . 1.2d1,1.8d1,2.6d1,4d1,6.4d1,1d2, | |
37 | . 1.6d2,2.4d2,4d2,6.4d2,1d3,1.8d3,3.2d3,5.6d3,1d4, | |
38 | . 1.8d4,3.2d4,5.6d4,1d5,1.8d5,3.2d5,5.6d5,1d6, | |
39 | . 1.8d6,3.2d6,5.6d6,1d7/ | |
40 | data xmin,xmax,qsqmin,qsqmax/1d-5,1d0,1.25d0,1d7/ | |
41 | save | |
42 | ||
43 | xsave=x | |
44 | qsq = q*q | |
45 | q2save=qsq | |
46 | ||
47 | xlog=dlog(x) | |
48 | qsqlog=dlog(qsq) | |
49 | ||
50 | call getnset(iset) | |
51 | c imem=member(iset) | |
52 | call getnmem(iset,imem) | |
53 | call jeppe2(imem,xlog,qsqlog,nx,nq,xxl,qql,cc1,upv) | |
54 | call jeppe2(imem,xlog,qsqlog,nx,nq,xxl,qql,cc2,dnv) | |
55 | call jeppe2(imem,xlog,qsqlog,nx,nq,xxl,qql,cc3,glu) | |
56 | call jeppe2(imem,xlog,qsqlog,nx,nq,xxl,qql,cc4,usea) | |
57 | call jeppe2(imem,xlog,qsqlog,nx,nq,xxl,qql,cc6,str) | |
58 | call jeppe2(imem,xlog,qsqlog,nx,nq,xxl,qql,cc8,dsea) | |
59 | ||
60 | chm=0.d0 | |
61 | if(qsq.gt.emc2) then | |
62 | call jeppe2(imem,xlog,qsqlog,nx,nqc,xxl,qqlc,ccc,chm) | |
63 | endif | |
64 | ||
65 | bot=0.d0 | |
66 | if(qsq.gt.emb2) then | |
67 | call jeppe2(imem,xlog,qsqlog,nx,nqb,xxl,qqlb,ccb,bot) | |
68 | endif | |
69 | ||
70 | pdf(0) = glu | |
71 | pdf(1) = dnv+dsea | |
72 | pdf(-1) = dsea | |
73 | pdf(2) = upv+usea | |
74 | pdf(-2) = usea | |
75 | pdf(3) = str | |
76 | pdf(-3) = str | |
77 | pdf(4) = chm | |
78 | pdf(-4) = chm | |
79 | pdf(5) = bot | |
80 | pdf(-5) = bot | |
81 | pdf(6) = 0.0d0 | |
82 | pdf(-6) = 0.0d0 | |
83 | ||
84 | x=xsave | |
85 | qsq=q2save | |
86 | return | |
87 | * | |
88 | entry MRSTread(nset) | |
89 | read(1,*)nmem(nset),ndef(nset) | |
90 | c print *,nmem(nset),ndef(nset) | |
91 | c do nm = 0,nmem-1 | |
92 | do nm = 0,nmem(nset) | |
93 | do 20 n=1,nx-1 | |
94 | do 20 m=1,nq | |
95 | read(1,50)f1(n,m),f2(n,m),f3(n,m),f4(n,m), | |
96 | . f5(n,m),f7(n,m),f6(n,m),f8(n,m) | |
97 | c notation: 1=uval 2=val 3=glue 4=usea 5=chm 6=str 7=btm 8=dsea | |
98 | 20 continue | |
99 | c write(*,*)'PDF set ',nm,' first element ',f1(1,1) | |
100 | do 40 m=1,nq | |
101 | f1(nx,m)=0.d0 | |
102 | f2(nx,m)=0.d0 | |
103 | f3(nx,m)=0.d0 | |
104 | f4(nx,m)=0.d0 | |
105 | f5(nx,m)=0.d0 | |
106 | f6(nx,m)=0.d0 | |
107 | f7(nx,m)=0.d0 | |
108 | f8(nx,m)=0.d0 | |
109 | 40 continue | |
110 | ||
111 | do n=1,nx | |
112 | xxl(n)=dlog(xx(n)) | |
113 | enddo | |
114 | do m=1,nq | |
115 | qql(m)=dlog(qq(m)) | |
116 | enddo | |
117 | ||
118 | call jeppe1(nm,nx,nq,xxl,qql,f1,cc1) | |
119 | call jeppe1(nm,nx,nq,xxl,qql,f2,cc2) | |
120 | call jeppe1(nm,nx,nq,xxl,qql,f3,cc3) | |
121 | call jeppe1(nm,nx,nq,xxl,qql,f4,cc4) | |
122 | call jeppe1(nm,nx,nq,xxl,qql,f6,cc6) | |
123 | call jeppe1(nm,nx,nq,xxl,qql,f8,cc8) | |
124 | ||
125 | emc2=2.045 | |
126 | emb2=18.5 | |
127 | ||
128 | do 44 m=1,nqc | |
129 | qqlc(m)=qql(m+nqc0) | |
130 | do 44 n=1,nx | |
131 | fc(n,m)=f5(n,m+nqc0) | |
132 | 44 continue | |
133 | qqlc(1)=dlog(emc2) | |
134 | call jeppe1(nm,nx,nqc,xxl,qqlc,fc,ccc) | |
135 | ||
136 | do 45 m=1,nqb | |
137 | qqlb(m)=qql(m+nqb0) | |
138 | do 45 n=1,nx | |
139 | fb(n,m)=f7(n,m+nqb0) | |
140 | 45 continue | |
141 | qqlb(1)=dlog(emb2) | |
142 | call jeppe1(nm,nx,nqb,xxl,qqlb,fb,ccb) | |
143 | ||
144 | ||
145 | enddo | |
146 | 50 format(8f10.5) | |
147 | return | |
148 | * | |
149 | ||
150 | entry MRSTalfa(nflav,alfas,Qalfa) | |
151 | call getnset(iset) | |
152 | c mem = member(iset) | |
153 | c call setnmem(member(iset)) | |
154 | call alphamrs(nflav,alfas,Qalfa) | |
155 | return | |
156 | * | |
157 | entry MRSTinit(Eorder,Q2fit) | |
158 | return | |
159 | * | |
160 | entry MRSTpdf(mem) | |
161 | c if(mem.eq.0) mem=ndef | |
162 | c imem = mem | |
163 | call getnset(iset) | |
164 | c member(iset)=mem | |
165 | call setnmem(iset,mem) | |
166 | ||
167 | return | |
168 | * | |
169 | end | |
170 | ||
171 | subroutine jeppe1(imem,nx,my,xx,yy,ff,cc) | |
172 | implicit real*8(a-h,o-z) | |
173 | parameter(nnx=49,mmy=37,nhess=30) | |
174 | dimension xx(nx),yy(my),ff(nnx,mmy), | |
175 | xff1(nnx,mmy),ff2(nnx,mmy), | |
176 | xff12(nnx,mmy),yy0(4),yy1(4),yy2(4),yy12(4),z(16),wt(16,16), | |
177 | xcl(16),cc(0:nhess,nx,my,4,4),iwt(16,16) | |
178 | ||
179 | data iwt/1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, | |
180 | x 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, | |
181 | x -3,0,0,3,0,0,0,0,-2,0,0,-1,0,0,0,0, | |
182 | x 2,0,0,-2,0,0,0,0,1,0,0,1,0,0,0,0, | |
183 | x 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, | |
184 | x 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, | |
185 | x 0,0,0,0,-3,0,0,3,0,0,0,0,-2,0,0,-1, | |
186 | x 0,0,0,0,2,0,0,-2,0,0,0,0,1,0,0,1, | |
187 | x -3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0, | |
188 | x 0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0, | |
189 | x 9,-9,9,-9,6,3,-3,-6,6,-6,-3,3,4,2,1,2, | |
190 | x -6,6,-6,6,-4,-2,2,4,-3,3,3,-3,-2,-1,-1,-2, | |
191 | x 2,-2,0,0,1,1,0,0,0,0,0,0,0,0,0,0, | |
192 | x 0,0,0,0,0,0,0,0,2,-2,0,0,1,1,0,0, | |
193 | x -6,6,-6,6,-3,-3,3,3,-4,4,2,-2,-2,-2,-1,-1, | |
194 | x 4,-4,4,-4,2,2,-2,-2,2,-2,-2,2,1,1,1,1/ | |
195 | ||
196 | ||
197 | do 42 m=1,my | |
198 | dx=xx(2)-xx(1) | |
199 | ff1(1,m)=(ff(2,m)-ff(1,m))/dx | |
200 | dx=xx(nx)-xx(nx-1) | |
201 | ff1(nx,m)=(ff(nx,m)-ff(nx-1,m))/dx | |
202 | do 41 n=2,nx-1 | |
203 | ff1(n,m)=polderiv(xx(n-1),xx(n),xx(n+1),ff(n-1,m),ff(n,m), | |
204 | xff(n+1,m)) | |
205 | 41 continue | |
206 | 42 continue | |
207 | ||
208 | do 44 n=1,nx | |
209 | dy=yy(2)-yy(1) | |
210 | ff2(n,1)=(ff(n,2)-ff(n,1))/dy | |
211 | dy=yy(my)-yy(my-1) | |
212 | ff2(n,my)=(ff(n,my)-ff(n,my-1))/dy | |
213 | do 43 m=2,my-1 | |
214 | ff2(n,m)=polderiv(yy(m-1),yy(m),yy(m+1),ff(n,m-1),ff(n,m), | |
215 | xff(n,m+1)) | |
216 | 43 continue | |
217 | 44 continue | |
218 | ||
219 | do 46 m=1,my | |
220 | dx=xx(2)-xx(1) | |
221 | ff12(1,m)=(ff2(2,m)-ff2(1,m))/dx | |
222 | dx=xx(nx)-xx(nx-1) | |
223 | ff12(nx,m)=(ff2(nx,m)-ff2(nx-1,m))/dx | |
224 | do 45 n=2,nx-1 | |
225 | ff12(n,m)=polderiv(xx(n-1),xx(n),xx(n+1),ff2(n-1,m),ff2(n,m), | |
226 | xff2(n+1,m)) | |
227 | 45 continue | |
228 | 46 continue | |
229 | ||
230 | do 53 n=1,nx-1 | |
231 | do 52 m=1,my-1 | |
232 | d1=xx(n+1)-xx(n) | |
233 | d2=yy(m+1)-yy(m) | |
234 | d1d2=d1*d2 | |
235 | ||
236 | yy0(1)=ff(n,m) | |
237 | yy0(2)=ff(n+1,m) | |
238 | yy0(3)=ff(n+1,m+1) | |
239 | yy0(4)=ff(n,m+1) | |
240 | ||
241 | yy1(1)=ff1(n,m) | |
242 | yy1(2)=ff1(n+1,m) | |
243 | yy1(3)=ff1(n+1,m+1) | |
244 | yy1(4)=ff1(n,m+1) | |
245 | ||
246 | yy2(1)=ff2(n,m) | |
247 | yy2(2)=ff2(n+1,m) | |
248 | yy2(3)=ff2(n+1,m+1) | |
249 | yy2(4)=ff2(n,m+1) | |
250 | ||
251 | yy12(1)=ff12(n,m) | |
252 | yy12(2)=ff12(n+1,m) | |
253 | yy12(3)=ff12(n+1,m+1) | |
254 | yy12(4)=ff12(n,m+1) | |
255 | ||
256 | do 47 k=1,4 | |
257 | z(k)=yy0(k) | |
258 | z(k+4)=yy1(k)*d1 | |
259 | z(k+8)=yy2(k)*d2 | |
260 | z(k+12)=yy12(k)*d1d2 | |
261 | 47 continue | |
262 | ||
263 | do 49 l=1,16 | |
264 | xxd=0. | |
265 | do 48 k=1,16 | |
266 | xxd=xxd+iwt(k,l)*z(k) | |
267 | 48 continue | |
268 | cl(l)=xxd | |
269 | 49 continue | |
270 | l=0 | |
271 | do 51 k=1,4 | |
272 | do 50 j=1,4 | |
273 | l=l+1 | |
274 | cc(imem,n,m,k,j)=cl(l) | |
275 | 50 continue | |
276 | 51 continue | |
277 | 52 continue | |
278 | 53 continue | |
279 | return | |
280 | end | |
281 | ||
282 | subroutine jeppe2(i,x,y,nx,my,xx,yy,cc,z) | |
283 | C-- G.W. 02/07/2007 Allow extrapolation to small x and large q. | |
284 | implicit real*8(a-h,o-z) | |
285 | parameter(nhess=30) | |
286 | dimension xx(nx),yy(my),cc(0:nhess,nx,my,4,4) | |
287 | ||
288 | n=locx(xx,nx,x) | |
289 | m=locx(yy,my,y) | |
290 | ||
291 | if (n.gt.0.and.n.lt.nx.and.m.gt.0.and.m.lt.my) then | |
292 | C-- Do usual interpolation. | |
293 | t=(x-xx(n))/(xx(n+1)-xx(n)) | |
294 | u=(y-yy(m))/(yy(m+1)-yy(m)) | |
295 | z=0.d0 | |
296 | do l=4,1,-1 | |
297 | z=t*z+((cc(i,n,m,l,4)*u+cc(i,n,m,l,3))*u | |
298 | & +cc(i,n,m,l,2))*u+cc(i,n,m,l,1) | |
299 | enddo | |
300 | ||
301 | else if (n.eq.0.and.m.gt.0.and.m.lt.my) then | |
302 | C-- Extrapolate to small x. | |
303 | call jeppe3(i,xx(1),y,nx,my,xx,yy,cc,f0) | |
304 | call jeppe3(i,xx(2),y,nx,my,xx,yy,cc,f1) | |
305 | if (f0.gt.0.d0.and.f1.gt.0.d0) then | |
306 | z = exp(log(f0)+(log(f1)-log(f0))/(xx(2)-xx(1))*(x-xx(1))) | |
307 | else | |
308 | z = f0+(f1-f0)/(xx(2)-xx(1))*(x-xx(1)) | |
309 | end if | |
310 | ||
311 | else if (n.gt.0.and.m.eq.my) then | |
312 | C-- Extrapolate to large q. | |
313 | call jeppe3(i,x,yy(my),nx,my,xx,yy,cc,f0) | |
314 | call jeppe3(i,x,yy(my-1),nx,my,xx,yy,cc,f1) | |
315 | if (f0.gt.0.d0.and.f1.gt.0.d0) then | |
316 | z = exp(log(f0)+(log(f0)-log(f1))/(yy(my)-yy(my-1))* | |
317 | & (y-yy(my))) | |
318 | else | |
319 | z = f0+(f0-f1)/(yy(my)-yy(my-1))*(y-yy(my)) | |
320 | end if | |
321 | ||
322 | else if (n.eq.0.and.m.eq.my) then | |
323 | C-- Extrapolate to small x AND large q. | |
324 | call jeppe3(i,xx(1),yy(my),nx,my,xx,yy,cc,f0) | |
325 | call jeppe3(i,xx(1),yy(my-1),nx,my,xx,yy,cc,f1) | |
326 | if (f0.gt.0.d0.and.f1.gt.0.d0) then | |
327 | z0 = exp(log(f0)+(log(f0)-log(f1))/(yy(my)-yy(my-1))* | |
328 | & (y-yy(my))) | |
329 | else | |
330 | z0 = f0+(f0-f1)/(yy(my)-yy(my-1))*(y-yy(my)) | |
331 | end if | |
332 | call jeppe3(i,xx(2),yy(my),nx,my,xx,yy,cc,f0) | |
333 | call jeppe3(i,xx(2),yy(my-1),nx,my,xx,yy,cc,f1) | |
334 | if (f0.gt.0.d0.and.f1.gt.0.d0) then | |
335 | z1 = exp(log(f0)+(log(f0)-log(f1))/(yy(my)-yy(my-1))* | |
336 | & (y-yy(my))) | |
337 | else | |
338 | z1 = f0+(f0-f1)/(yy(my)-yy(my-1))*(y-yy(my)) | |
339 | end if | |
340 | if (z0.gt.0.d0.and.z1.gt.0.d0) then | |
341 | z = exp(log(z0)+(log(z1)-log(z0))/(xx(2)-xx(1))*(x-xx(1))) | |
342 | else | |
343 | z = z0+(z1-z0)/(xx(2)-xx(1))*(x-xx(1)) | |
344 | end if | |
345 | ||
346 | else | |
347 | C-- Set parton distribution to zero otherwise. | |
348 | z = 0.d0 | |
349 | ||
350 | end if | |
351 | ||
352 | return | |
353 | end | |
354 | ||
355 | C-- G.W. 02/07/2007 Copy of the original jeppe2, | |
356 | C-- only used for extrapolation. | |
357 | subroutine jeppe3(i,x,y,nx,my,xx,yy,cc,z) | |
358 | implicit real*8(a-h,o-z) | |
359 | parameter(nhess=30) | |
360 | dimension xx(nx),yy(my),cc(0:nhess,nx,my,4,4) | |
361 | n=locx(xx,nx,x) | |
362 | m=locx(yy,my,y) | |
363 | t=(x-xx(n))/(xx(n+1)-xx(n)) | |
364 | u=(y-yy(m))/(yy(m+1)-yy(m)) | |
365 | z=0.d0 | |
366 | do l=4,1,-1 | |
367 | z=t*z+((cc(i,n,m,l,4)*u+cc(i,n,m,l,3))*u | |
368 | & +cc(i,n,m,l,2))*u+cc(i,n,m,l,1) | |
369 | enddo | |
370 | return | |
371 | end | |
372 | ||
373 | integer function locx(xx,nx,x) | |
374 | implicit real*8(a-h,o-z) | |
375 | dimension xx(nx) | |
376 | c$$$ if(x.le.xx(1)) then | |
377 | if(x.eq.xx(1)) then ! G.W. 02/07/2007 | |
378 | locx=1 | |
379 | return | |
380 | endif | |
381 | c$$$ if(x.ge.xx(nx)) then | |
382 | if(x.eq.xx(nx)) then ! G.W. 02/07/2007 | |
383 | locx=nx-1 | |
384 | return | |
385 | endif | |
386 | ju=nx+1 | |
387 | jl=0 | |
388 | 1 if((ju-jl).le.1) go to 2 | |
389 | jm=(ju+jl)/2 | |
390 | if(x.ge.xx(jm)) then | |
391 | jl=jm | |
392 | else | |
393 | ju=jm | |
394 | endif | |
395 | go to 1 | |
396 | 2 locx=jl | |
397 | return | |
398 | end | |
399 | ||
400 | real*8 function polderiv(x1,x2,x3,y1,y2,y3) | |
401 | implicit real*8(a-h,o-z) | |
402 | polderiv=(x3*x3*(y1-y2)-2.0*x2*(x3*(y1-y2)+x1* | |
403 | .(y2-y3))+x2*x2*(y1-y3)+x1*x1*(y2-y3))/((x1-x2)*(x1-x3)*(x2-x3)) | |
404 | return | |
405 | end |