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21886bb6 1#include "pdf/pilot.h"
2c ---------------------------------------------------------------------
3 double precision function faux5MI(ifl,x,q)
4c auxiliary function for parametrization of CTEQ5MI (J. Pumplin 9/99).
5c ---------------------------------------------------------------------
6#include "pdf/impdp.inc"
7 integer ifl
8
9 parameter (nex=8, nlf=2)
10 dimension am(0:nex,0:nlf,-5:2)
11 dimension alfvec(-5:2), qmavec(-5:2)
12 dimension mexvec(-5:2), mlfvec(-5:2)
13 dimension ut1vec(-5:2), ut2vec(-5:2)
14 dimension af(0:nex)
15
16 data mexvec( 2) / 8 /
17 data mlfvec( 2) / 2 /
18 data ut1vec( 2) / 0.5141718E+01 /
19 data ut2vec( 2) / -0.1346944E+01 /
20 data alfvec( 2) / 0.5260555E+00 /
21 data qmavec( 2) / 0.0000000E+00 /
22 data (am( 0,k, 2),k=0, 2)
23 & / 0.4289071E+01, -0.2536870E+01, -0.1259948E+01 /
24 data (am( 1,k, 2),k=0, 2)
25 & / 0.9839410E+00, 0.4168426E-01, -0.5018952E-01 /
26 data (am( 2,k, 2),k=0, 2)
27 & / -0.1651961E+02, 0.9246261E+01, 0.5996400E+01 /
28 data (am( 3,k, 2),k=0, 2)
29 & / -0.2077936E+02, 0.9786469E+01, 0.7656465E+01 /
30 data (am( 4,k, 2),k=0, 2)
31 & / 0.3054926E+02, 0.1889536E+01, 0.1380541E+01 /
32 data (am( 5,k, 2),k=0, 2)
33 & / 0.3084695E+02, -0.1212303E+02, -0.1053551E+02 /
34 data (am( 6,k, 2),k=0, 2)
35 & / -0.1426778E+02, 0.6239537E+01, 0.5254819E+01 /
36 data (am( 7,k, 2),k=0, 2)
37 & / -0.1909811E+02, 0.3695678E+01, 0.5495729E+01 /
38 data (am( 8,k, 2),k=0, 2)
39 & / 0.1889751E-01, 0.5027193E-02, 0.6624896E-03 /
40
41 data mexvec( 1) / 8 /
42 data mlfvec( 1) / 2 /
43 data ut1vec( 1) / 0.4138426E+01 /
44 data ut2vec( 1) / -0.3221374E+01 /
45 data alfvec( 1) / 0.4960962E+00 /
46 data qmavec( 1) / 0.0000000E+00 /
47 data (am( 0,k, 1),k=0, 2)
48 & / 0.1332497E+01, -0.3703718E+00, 0.1288638E+00 /
49 data (am( 1,k, 1),k=0, 2)
50 & / 0.7544687E+00, 0.3255075E-01, -0.4706680E-01 /
51 data (am( 2,k, 1),k=0, 2)
52 & / -0.7638814E+00, 0.5008313E+00, -0.9237374E-01 /
53 data (am( 3,k, 1),k=0, 2)
54 & / -0.3689889E+00, -0.1055098E+01, -0.4645065E+00 /
55 data (am( 4,k, 1),k=0, 2)
56 & / 0.3991610E+02, 0.1979881E+01, 0.1775814E+01 /
57 data (am( 5,k, 1),k=0, 2)
58 & / 0.6201080E+01, 0.2046288E+01, 0.3804571E+00 /
59 data (am( 6,k, 1),k=0, 2)
60 & / -0.8027900E+00, -0.7011688E+00, -0.8049612E+00 /
61 data (am( 7,k, 1),k=0, 2)
62 & / -0.8631305E+01, -0.3981200E+01, 0.6970153E+00 /
63 data (am( 8,k, 1),k=0, 2)
64 & / 0.2371230E-01, 0.5372683E-02, 0.1118701E-02 /
65
66 data mexvec( 0) / 8 /
67 data mlfvec( 0) / 2 /
68 data ut1vec( 0) / -0.1026789E+01 /
69 data ut2vec( 0) / -0.9051707E+01 /
70 data alfvec( 0) / 0.9462977E+00 /
71 data qmavec( 0) / 0.0000000E+00 /
72 data (am( 0,k, 0),k=0, 2)
73 & / 0.1191990E+03, -0.8548739E+00, -0.1963040E+01 /
74 data (am( 1,k, 0),k=0, 2)
75 & / -0.9449972E+02, 0.1074771E+01, 0.2056055E+01 /
76 data (am( 2,k, 0),k=0, 2)
77 & / 0.3701064E+01, -0.1167947E-02, 0.1933573E+00 /
78 data (am( 3,k, 0),k=0, 2)
79 & / 0.1171345E+03, -0.1064540E+01, -0.1875312E+01 /
80 data (am( 4,k, 0),k=0, 2)
81 & / -0.1014453E+03, -0.5707427E+00, 0.4511242E-01 /
82 data (am( 5,k, 0),k=0, 2)
83 & / 0.6365168E+01, 0.1275354E+01, -0.4964081E+00 /
84 data (am( 6,k, 0),k=0, 2)
85 & / -0.3370693E+01, -0.1122020E+01, 0.5947751E-01 /
86 data (am( 7,k, 0),k=0, 2)
87 & / -0.5327270E+01, -0.9293556E+00, 0.6629940E+00 /
88 data (am( 8,k, 0),k=0, 2)
89 & / 0.2437513E-01, 0.1600939E-02, 0.6855336E-03 /
90
91 data mexvec(-1) / 8 /
92 data mlfvec(-1) / 2 /
93 data ut1vec(-1) / 0.5243571E+01 /
94 data ut2vec(-1) / -0.2870513E+01 /
95 data alfvec(-1) / 0.6701448E+00 /
96 data qmavec(-1) / 0.0000000E+00 /
97 data (am( 0,k,-1),k=0, 2)
98 & / 0.2428863E+02, 0.1907035E+01, -0.4606457E+00 /
99 data (am( 1,k,-1),k=0, 2)
100 & / 0.2006810E+01, -0.1265915E+00, 0.7153556E-02 /
101 data (am( 2,k,-1),k=0, 2)
102 & / -0.1884546E+02, -0.2339471E+01, 0.5740679E+01 /
103 data (am( 3,k,-1),k=0, 2)
104 & / -0.2527892E+02, -0.2044124E+01, 0.1280470E+02 /
105 data (am( 4,k,-1),k=0, 2)
106 & / -0.1013824E+03, -0.1594199E+01, 0.2216401E+00 /
107 data (am( 5,k,-1),k=0, 2)
108 & / 0.8070930E+02, 0.1792072E+01, -0.2164364E+02 /
109 data (am( 6,k,-1),k=0, 2)
110 & / -0.4641050E+02, 0.1977338E+00, 0.1273014E+02 /
111 data (am( 7,k,-1),k=0, 2)
112 & / -0.3910568E+02, 0.1719632E+01, 0.1086525E+02 /
113 data (am( 8,k,-1),k=0, 2)
114 & / -0.1185496E+01, -0.1905847E+00, -0.8744118E-03 /
115
116 data mexvec(-2) / 7 /
117 data mlfvec(-2) / 2 /
118 data ut1vec(-2) / 0.4782210E+01 /
119 data ut2vec(-2) / -0.1976856E+02 /
120 data alfvec(-2) / 0.7558374E+00 /
121 data qmavec(-2) / 0.0000000E+00 /
122 data (am( 0,k,-2),k=0, 2)
123 & / -0.6216935E+00, 0.2369963E+00, -0.7909949E-02 /
124 data (am( 1,k,-2),k=0, 2)
125 & / 0.1245440E+01, -0.1031510E+00, 0.4916523E-02 /
126 data (am( 2,k,-2),k=0, 2)
127 & / -0.7060824E+01, -0.3875283E-01, 0.1784981E+00 /
128 data (am( 3,k,-2),k=0, 2)
129 & / -0.7430595E+01, 0.1964572E+00, -0.1284999E+00 /
130 data (am( 4,k,-2),k=0, 2)
131 & / -0.6897810E+01, 0.2620543E+01, 0.8012553E-02 /
132 data (am( 5,k,-2),k=0, 2)
133 & / 0.1507713E+02, 0.2340307E-01, 0.2482535E+01 /
134 data (am( 6,k,-2),k=0, 2)
135 & / -0.1815341E+01, -0.1538698E+01, -0.2014208E+01 /
136 data (am( 7,k,-2),k=0, 2)
137 & / -0.2571932E+02, 0.2903941E+00, -0.2848206E+01 /
138
139 data mexvec(-3) / 7 /
140 data mlfvec(-3) / 2 /
141 data ut1vec(-3) / 0.4518239E+01 /
142 data ut2vec(-3) / -0.2690590E+01 /
143 data alfvec(-3) / 0.6124079E+00 /
144 data qmavec(-3) / 0.0000000E+00 /
145 data (am( 0,k,-3),k=0, 2)
146 & / -0.2734458E+01, -0.7245673E+00, -0.6351374E+00 /
147 data (am( 1,k,-3),k=0, 2)
148 & / 0.2927174E+01, 0.4822709E+00, -0.1088787E-01 /
149 data (am( 2,k,-3),k=0, 2)
150 & / -0.1771017E+02, -0.1416635E+01, 0.8467622E+01 /
151 data (am( 3,k,-3),k=0, 2)
152 & / -0.4972782E+02, -0.3348547E+01, 0.1767061E+02 /
153 data (am( 4,k,-3),k=0, 2)
154 & / -0.7102770E+01, -0.3205337E+01, 0.4101704E+00 /
155 data (am( 5,k,-3),k=0, 2)
156 & / 0.7169698E+02, -0.2205985E+01, -0.2463931E+02 /
157 data (am( 6,k,-3),k=0, 2)
158 & / -0.4090347E+02, 0.2103486E+01, 0.1416507E+02 /
159 data (am( 7,k,-3),k=0, 2)
160 & / -0.2952639E+02, 0.5376136E+01, 0.7825585E+01 /
161
162 data mexvec(-4) / 7 /
163 data mlfvec(-4) / 2 /
164 data ut1vec(-4) / 0.2783230E+01 /
165 data ut2vec(-4) / -0.1746328E+01 /
166 data alfvec(-4) / 0.1115653E+01 /
167 data qmavec(-4) / 0.1300000E+01 /
168 data (am( 0,k,-4),k=0, 2)
169 & / -0.1743872E+01, -0.1128921E+01, -0.2841969E+00 /
170 data (am( 1,k,-4),k=0, 2)
171 & / 0.3345755E+01, 0.3187765E+00, 0.1378124E+00 /
172 data (am( 2,k,-4),k=0, 2)
173 & / -0.2037615E+02, 0.4121687E+01, 0.2236520E+00 /
174 data (am( 3,k,-4),k=0, 2)
175 & / -0.4703104E+02, 0.5353087E+01, -0.1455347E+01 /
176 data (am( 4,k,-4),k=0, 2)
177 & / -0.1060230E+02, -0.1551122E+01, -0.1078863E+01 /
178 data (am( 5,k,-4),k=0, 2)
179 & / 0.5088892E+02, -0.8197304E+01, 0.8083451E+01 /
180 data (am( 6,k,-4),k=0, 2)
181 & / -0.2819070E+02, 0.4554086E+01, -0.5890995E+01 /
182 data (am( 7,k,-4),k=0, 2)
183 & / -0.1098238E+02, 0.2590096E+01, -0.8062879E+01 /
184
185 data mexvec(-5) / 6 /
186 data mlfvec(-5) / 2 /
187 data ut1vec(-5) / 0.1619654E+02 /
188 data ut2vec(-5) / -0.3367346E+01 /
189 data alfvec(-5) / 0.5109891E-02 /
190 data qmavec(-5) / 0.4500000E+01 /
191 data (am( 0,k,-5),k=0, 2)
192 & / -0.6800138E+01, 0.2493627E+01, -0.1075724E+01 /
193 data (am( 1,k,-5),k=0, 2)
194 & / 0.3036555E+01, 0.3324733E+00, 0.2008298E+00 /
195 data (am( 2,k,-5),k=0, 2)
196 & / -0.5203879E+01, -0.8493476E+01, -0.4523208E+01 /
197 data (am( 3,k,-5),k=0, 2)
198 & / -0.1524239E+01, -0.3411912E+01, -0.1771867E+02 /
199 data (am( 4,k,-5),k=0, 2)
200 & / -0.1099444E+02, 0.1320930E+01, -0.2353831E+01 /
201 data (am( 5,k,-5),k=0, 2)
202 & / 0.1699299E+02, -0.3565802E+02, 0.3566872E+02 /
203 data (am( 6,k,-5),k=0, 2)
204 & / -0.1465793E+02, 0.2703365E+02, -0.2176372E+02 /
205
206 if(q .le. qmavec(ifl)) then
207 faux5MI = 0.d0
208 return
209 endif
210
211 if(x .ge. 1.d0) then
212 faux5MI = 0.d0
213 return
214 endif
215
216 tmp = log(q/alfvec(ifl))
217 if(tmp .le. 0.d0) then
218 faux5MI = 0.d0
219 return
220 endif
221
222 sb = log(tmp)
223 sb1 = sb - 1.2d0
224 sb2 = sb1*sb1
225
226 do i = 0, nex
227 af(i) = 0.d0
228 sbx = 1.d0
229 do k = 0, mlfvec(ifl)
230 af(i) = af(i) + sbx*am(i,k,ifl)
231 sbx = sb1*sbx
232 enddo
233 enddo
234
235 y = -log(x)
236 u = log(x/0.00001d0)
237
238 part1 = af(1)*y**(1.d0+0.01d0*af(4))*(1.d0+ af(8)*u)
239 part2 = af(0)*(1.d0 - x) + af(3)*x
240 part3 = x*(1.d0-x)*(af(5)+af(6)*(1.d0-x)+af(7)*x*(1.d0-x))
241 part4 = ut1vec(ifl)*log(1.d0-x) +
242 & AF(2)*log(1.d0+exp(ut2vec(ifl))-x)
243
244 faux5MI = exp(log(x) + part1 + part2 + part3 + part4)
245
246c include threshold factor...
247 faux5MI = faux5MI * (1.d0 - qmavec(ifl)/q)
248
249 return
250 end