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204 lines
7.3 KiB
204 lines
7.3 KiB
2 years ago
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C Copyright(C) 1999-2020 National Technology & Engineering Solutions
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C of Sandia, LLC (NTESS). Under the terms of Contract DE-NA0003525 with
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C NTESS, the U.S. Government retains certain rights in this software.
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C
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C See packages/seacas/LICENSE for details
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SUBROUTINE SHAPEF (ITYPE,SP,TP,RP,SOLN,BVALUE)
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C ******************************************************************
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C SUBROUTINE TO EVALUATE THE SOLUTION AT A POINT (SP,TP,RP)
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C WITHIN AN ELEMENT
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C Called by INTRPE & INTRPN
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C ******************************************************************
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C SP INT The KSI isoparametric coord of the point in the element
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C TP INT The ETA isoparametric coord of the point in the element
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C RP INT The PHI isoparametric coord of the point in the element
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C SOLN REAL The variables at the nodes of the element
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C BVALUE REAL The value of the variable at the point inside the element
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C ******************************************************************
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DIMENSION SOLN(*)
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C ******************************************************************
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C SELECT TYPE OF ELEMENT
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GO TO (10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120), ITYPE
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C 3-NODE TRIANGLE
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10 CONTINUE
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PP=1.-SP-TP
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BVALUE=SOLN(1)*SP+SOLN(2)*TP+SOLN(3)*PP
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RETURN
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C 6-NODE TRIANGLE
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20 CONTINUE
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PP=1.-SP-TP
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BVALUE=SOLN(1)*SP*(2.*SP-1.)+SOLN(2)*TP*(2.*TP-1.)+
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1 SOLN(3)*PP*(2.*PP-1.)+SOLN(4)*4.*SP*TP+
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2 SOLN(5)*4.*TP*PP+SOLN(6)*4.*SP*PP
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RETURN
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C 4-NODE QUADRILATERAL
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30 CONTINUE
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BVALUE=.25*(SOLN(1)*(1.-SP)*(1.-TP)+SOLN(2)*(1.+SP)*(1.-TP)+
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1 SOLN(3)*(1.+SP)*(1.+TP)+SOLN(4)*(1.-SP)*(1.+TP))
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RETURN
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C 8-NODE QUADRILATERAL
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40 CONTINUE
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BVALUE=.25*(SOLN(1)*(1.-SP)*(1.-TP)*(-SP-TP-1.)+
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1 SOLN(2)*(1.+SP)*(1.-TP)*(SP-TP-1.)+
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2 SOLN(3)*(1.+SP)*(1.+TP)*(SP+TP-1.)+
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3 SOLN(4)*(1.-SP)*(1.+TP)*(-SP+TP-1.))+
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4 .50*(SOLN(5)*(1.-SP*SP)*(1.-TP)+
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5 SOLN(6)*(1.+SP)*(1.-TP*TP)+
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6 SOLN(7)*(1.-SP*SP)*(1.+TP)+
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7 SOLN(8)*(1.-SP)*(1.-TP*TP))
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RETURN
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C 9-NODE QUADRILATERAL
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50 CONTINUE
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BVALUE=.25*(SOLN(1)*(1.-SP)*(1.-TP)*(SP*TP)+
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1 SOLN(2)*(1.+SP)*(1.-TP)*(-SP*TP)+
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2 SOLN(3)*(1.+SP)*(1.+TP)*(SP*TP)+
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3 SOLN(4)*(1.-SP)*(1.+TP)*(-SP*TP))+
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4 .50*(SOLN(5)*(1.-SP*SP)*(1.-TP)*(-TP)+
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5 SOLN(6)*(1.+SP)*(1.-TP*TP)*SP+
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6 SOLN(7)*(1.-SP*SP)*(1.+TP)*TP+
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7 SOLN(8)*(1.-SP)*(1.-TP*TP)*(-SP))+
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8 SOLN(9)*(1.-SP*SP)*(1.-TP*TP)
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RETURN
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C 4-NODE TETRAHEDRON
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60 CONTINUE
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PP=1.-SP-TP-RP
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C BVALUE=SOLN(1)*SP+SOLN(2)*TP+SOLN(3)*RP+SOLN(4)*PP
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C fix gww 8/24/00 - probably same fix for 10-node tet but not done yet
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C merlin had opposite nodal order (left hand rule for + volume)
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BVALUE=SOLN(1)*SP+SOLN(2)*TP+SOLN(3)*PP+SOLN(4)*RP
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RETURN
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C 10-NODE TETRAHEDRON
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70 CONTINUE
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PP=1.-SP-TP-RP
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BVALUE= SOLN(1)*SP*(2.*SP-1.)+SOLN(2)*TP*(2.*TP-1.)+
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1 SOLN(3)*RP*(2.*RP-1.)+SOLN(4)*PP*(2.*PP-1.)+
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2 4.*(SOLN(5)*SP*TP+SOLN(6)*TP*RP+SOLN(7)*RP*SP+
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3 SOLN(8)*SP*PP+SOLN(9)*TP*PP+SOLN(10)*RP*PP)
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RETURN
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C 6-NODE PRISM
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80 CONTINUE
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PP=1.-SP-TP
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BVALUE=(SOLN(1)*SP+SOLN(2)*TP+SOLN(3)*PP)*.5*(1.-RP)+
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1 (SOLN(4)*SP+SOLN(5)*TP+SOLN(6)*PP)*.5*(1.+RP)
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RETURN
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C 15-NODE PRISM
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90 CONTINUE
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PP=1.-SP-TP
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AA=1.-RP
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BB=1.+RP
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CC=1.-RP**2
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BVALUE=.5*(SOLN(1)*SP*((2.*SP-1.)*AA-CC)+
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1 SOLN(2)*TP*((2.*TP-1.)*AA-CC)+
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2 SOLN(3)*PP*((2.*PP-1.)*AA-CC)+
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3 SOLN(4)*SP*((2.*SP-1.)*BB-CC)+
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4 SOLN(5)*TP*((2.*TP-1.)*BB-CC)+
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5 SOLN(6)*PP*((2.*PP-1.)*BB-CC))+
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6 2.*AA*(SOLN(7)*SP*TP+SOLN(8)*TP*PP+SOLN(9)*PP*SP)+
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7 (SOLN(10)*SP+SOLN(11)*TP+SOLN(12)*PP)*CC+
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8 2.*BB*(SOLN(13)*SP*TP+SOLN(14)*TP*PP+SOLN(15)*PP*SP)
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RETURN
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C 8-NODE HEX
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100 CONTINUE
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BVALUE=.125*(SOLN(1)*(1.-SP)*(1.-TP)*(1.-RP)+
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1 SOLN(2)*(1.+SP)*(1.-TP)*(1.-RP)+
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2 SOLN(3)*(1.+SP)*(1.+TP)*(1.-RP)+
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3 SOLN(4)*(1.-SP)*(1.+TP)*(1.-RP)+
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4 SOLN(5)*(1.-SP)*(1.-TP)*(1.+RP)+
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5 SOLN(6)*(1.+SP)*(1.-TP)*(1.+RP)+
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6 SOLN(7)*(1.+SP)*(1.+TP)*(1.+RP)+
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7 SOLN(8)*(1.-SP)*(1.+TP)*(1.+RP))
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RETURN
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C 20-NODE HEX
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110 CONTINUE
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AA=.125*(SOLN(1)*(1.-SP)*(1.-TP)*(1.-RP)*(-SP-TP-RP-2.)+
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1 SOLN(2)*(1.+SP)*(1.-TP)*(1.-RP)*(SP-TP-RP-2.)+
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2 SOLN(3)*(1.+SP)*(1.+TP)*(1.-RP)*(SP+TP-RP-2.)+
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3 SOLN(4)*(1.-SP)*(1.+TP)*(1.-RP)*(-SP+TP-RP-2.)+
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4 SOLN(5)*(1.-SP)*(1.-TP)*(1.+RP)*(-SP-TP+RP-2.)+
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5 SOLN(6)*(1.+SP)*(1.-TP)*(1.+RP)*(SP-TP+RP-2.)+
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6 SOLN(7)*(1.+SP)*(1.+TP)*(1.+RP)*(SP+TP+RP-2.)+
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7 SOLN(8)*(1.-SP)*(1.+TP)*(1.+RP)*(-SP+TP+RP-2.))
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BB=.250*(SOLN(9)*(1.-SP**2)*(1.-TP)*(1.-RP)+
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1 SOLN(10)*(1.+SP)*(1.-TP**2)*(1.-RP)+
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2 SOLN(11)*(1.-SP**2)*(1.+TP)*(1.-RP)+
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3 SOLN(12)*(1.-SP)*(1.-TP**2)*(1.-RP)+
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4 SOLN(13)*(1.-SP)*(1.-TP)*(1.-RP**2)+
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5 SOLN(14)*(1.+SP)*(1.-TP)*(1.-RP**2)+
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6 SOLN(15)*(1.+SP)*(1.+TP)*(1.-RP**2)+
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7 SOLN(16)*(1.-SP)*(1.+TP)*(1.-RP**2)+
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8 SOLN(17)*(1.-SP**2)*(1.-TP)*(1.+RP)+
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9 SOLN(18)*(1.+SP)*(1.-TP**2)*(1.+RP)+
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$ SOLN(19)*(1.-SP**2)*(1.+TP)*(1.+RP)+
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$ SOLN(20)*(1.-SP)*(1.-TP**2)*(1.+RP))
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BVALUE=AA+BB
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RETURN
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C 27-NODE HEX
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120 CONTINUE
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AA=.125*(-SOLN(1)*SP*TP*RP*(1.-SP)*(1.-TP)*(1.-RP)
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1 +SOLN(2)*SP*TP*RP*(1.+SP)*(1.-TP)*(1.-RP)
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2 -SOLN(3)*SP*TP*RP*(1.+SP)*(1.+TP)*(1.-RP)
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3 +SOLN(4)*SP*TP*RP*(1.-SP)*(1.+TP)*(1.-RP)
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4 +SOLN(5)*SP*TP*RP*(1.-SP)*(1.-TP)*(1.+RP)
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5 -SOLN(6)*SP*TP*RP*(1.+SP)*(1.-TP)*(1.+RP)
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6 +SOLN(7)*SP*TP*RP*(1.+SP)*(1.+TP)*(1.+RP)
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7 -SOLN(8)*SP*TP*RP*(1.-SP)*(1.+TP)*(1.+RP))
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BB=.250*(+SOLN (9)*TP*RP*(1.-SP**2)*(1.-TP)*(1.-RP)
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1 -SOLN(10)*SP*RP*(1.+SP)*(1.-TP**2)*(1.-RP)
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2 -SOLN(11)*TP*RP*(1.-SP**2)*(1.+TP)*(1.-RP)
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3 +SOLN(12)*SP*RP*(1.-SP)*(1.-TP**2)*(1.-RP)
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4 +SOLN(13)*SP*TP*(1.-SP)*(1.-TP)*(1.-RP**2)
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5 -SOLN(14)*SP*TP*(1.+SP)*(1.-TP)*(1.-RP**2)
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6 +SOLN(15)*SP*TP*(1.+SP)*(1.+TP)*(1.-RP**2)
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7 -SOLN(16)*SP*TP*(1.-SP)*(1.+TP)*(1.-RP**2))
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CC=.250*(-SOLN(17)*TP*RP*(1.-SP**2)*(1.-TP)*(1.+RP)
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1 +SOLN(18)*SP*RP*(1.+SP)*(1.-TP**2)*(1.+RP)
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2 +SOLN(19)*TP*RP*(1.-SP**2)*(1.+TP)*(1.+RP)
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3 -SOLN(20)*SP*RP*(1.-SP)*(1.-TP**2)*(1.+RP))+.500*(-SOLN(2
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41)*TP*(1.-SP**2)*(1.-TP)*(1.-RP**2) +SOLN(2
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52)*SP*(1.+SP)*(1.-TP**2)*(1.-RP**2) +SOLN(2
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63)*TP*(1.-SP**2)*(1.+TP)*(1.-RP**2) -SOLN(2
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74)*SP*(1.-SP)*(1.-TP**2)*(1.-RP**2) -SOLN(2
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85)*RP*(1.-SP**2)*(1.-TP**2)*(1.-RP) +SOLN(2
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96)*RP*(1.-SP**2)*(1.-TP**2)*(1.+RP))+SOLN(27)*(1.-SP**2)*(1.-TP**2
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$)*(1.-RP**2)
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BVALUE=AA+BB+CC
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RETURN
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END
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