| 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 |
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