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PFIT3.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME PFIT3
* Problem :
* *********
* The problem is to fit a model containing a pole, given data
* for values, first and second derivatives at two distinct points.
* The problem is not convex.
* SIF input: Ph. Toint, Nov 1993.
* Lower bound on H added, Nov 2002.
* classification NOR2-AN-3-3
* Problem data
RE CF -56.8888888888
RE CG -126.222222222
RE CH -143.407407407
VARIABLES
A
R
H
GROUPS
E EF
E EG
E EH
CONSTANTS
Z PFIT3 EF CF
Z PFIT3 EG CG
Z PFIT3 EH CH
BOUNDS
FR PFIT3 'DEFAULT'
LO PFIT3 H -0.5
START POINT
V PFIT3 A 1.0
V PFIT3 R 0.0
V PFIT3 H 1.0
ELEMENT TYPE
EV T1 AA RR
EV T1 XX
EV T2 AA RR
EV T2 XX
EV T3 AA RR
EV T3 XX
EV T4 AA RR
EV T4 XX
EV T5 AA RR
EV T5 XX
ELEMENT USES
T EA T3
V EA AA A
V EA RR R
V EA XX H
T EB T2
V EB AA A
V EB RR R
V EB XX H
T EC T1
V EC AA A
V EC RR R
V EC XX H
T ED T4
V ED AA A
V ED RR R
V ED XX H
T EE T5
V EE AA A
V EE RR R
V EE XX H
GROUP USES
E EF EA -0.5 EC 1.0
E EF ED -1.0
E EG EA -1.0 EB
E EH EE -1.0
OBJECT BOUND
LO PFIT3 0.0
* Solution at ( 3.0, 3.0 , 2.0 )
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS PFIT3
TEMPORARIES
R Y
R ARX
R LOGY
R A1
R B
R BA
R BX
R BAA
R BAX
R BXX
R C
R CC
R CCC
R D
R DA
R DR
R DX
R DAA
R DAR
R DAX
R DRX
R DXX
M LOG
INDIVIDUALS
T T1
F AA * RR * XX
G AA RR * XX
G RR AA * XX
G XX AA * RR
H AA RR XX
H AA XX RR
H RR XX AA
T T2
A A1 AA + 1.0
A Y 1.0 + XX
A LOGY LOG( Y )
A C Y ** ( - A1 )
A CC C / Y
A CCC CC / Y
A B 1.0 - C
A BA LOGY * C
A BX A1 * CC
A BAA - LOGY * LOGY * C
A BAX - LOGY * BX + CC
A BXX - A1 * ( A1 + 1.0 ) * CCC
A ARX AA * RR * XX
F ARX * B
G AA RR * XX * B + ARX * BA
G RR AA * XX * B
G XX AA * RR * B + ARX * BX
H AA AA 2.0 * RR * XX * BA + ARX * BAA
H AA RR XX * B + AA * XX * BA
H AA XX RR * B + RR * XX * BX + AA * RR * BA
H+ + ARX * BAX
H RR XX AA * B + AA * XX * BX
H XX XX 2.0 * AA * RR * BX + ARX * BXX
T T3
F AA * ( AA + 1.0 ) * RR * XX * XX
G AA ( 2.0 * AA + 1.0 ) * RR * XX * XX
G RR AA * ( AA + 1.0 ) * XX * XX
G XX 2.0 * AA * ( AA + 1.0 ) * RR * XX
H AA AA 2.0 * RR * XX * XX
H AA RR ( 2.0 * AA + 1.0 ) * XX * XX
H AA XX 2.0 * ( 2.0 * AA + 1.0 ) * RR * XX
H RR XX 2.0 * AA * ( AA + 1.0 ) * XX
H XX XX 2.0 * AA * ( AA + 1.0 ) * RR
T T4
A Y 1.0 + XX
A LOGY LOG( Y )
A C Y ** ( - AA )
A CC C / Y
A CCC CC / Y
A B 1.0 - C
A BA LOGY * C
A BX AA * CC
A BAA - LOGY * LOGY * C
A BAX - LOGY * BX + CC
A BXX - AA * ( AA + 1.0 ) * CCC
F RR * B
G AA RR * BA
G RR B
G XX RR * BX
H AA AA RR * BAA
H AA RR BA
H AA XX RR * BAX
H RR XX BX
H XX XX RR * BXX
T T5
A A1 AA + 2.0
A Y 1.0 + XX
A LOGY LOG( Y )
A C Y ** ( - A1 )
A CC C / Y
A CCC CC / Y
A B 1.0 - C
A BA LOGY * C
A BX A1 * CC
A BAA - LOGY * LOGY * C
A BAX - LOGY * BX + CC
A BXX - A1 * ( A1 + 1.0 ) * CCC
A D AA * ( AA + 1.0 ) * RR * XX * XX
A DA ( 2.0 * AA + 1.0 ) * RR * XX * XX
A DR AA * ( AA + 1.0 ) * XX * XX
A DX 2.0 * AA * ( AA + 1.0 ) * RR * XX
A DAA 2.0 * RR * XX * XX
A DAR ( 2.0 * AA + 1.0 ) * XX * XX
A DAX 2.0 * ( 2.0 * AA + 1.0 ) * RR * XX
A DRX 2.0 * AA * ( AA + 1.0 ) * XX
A DXX 2.0 * AA * ( AA + 1.0 ) * RR
F D * B
G AA DA * B + D * BA
G RR DR * B
G XX DX * B + D * BX
H AA AA DAA * B + 2.0 * DA * BA + D * BAA
H AA RR DAR * B + DR * BA
H AA XX DAX * B + DA * BX + DX * BA + D * BAX
H RR XX DRX * B + DR * BX
H XX XX DXX * B + 2.0 * DX * BX + D * BXX
ENDATA