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ENGVAL2.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME ENGVAL2
* Problem :
* *********
* The ENGVAL2 problem.
* Source: problem 15 in
* A.R. Buckley,
* "Test functions for unconstrained minimization",
* TR 1989CS-3, Mathematics, statistics and computing centre,
* Dalhousie University, Halifax (CDN), 1989.
* SIF input: Ph. Toint, Dec 1989.
* classification SUR2-AN-3-0
VARIABLES
X1
X2
X3
GROUPS
N G1
N G2
N G3 X1 1.0 X2 1.0
N G3 X3 1.0
N G4 X1 1.0 X2 1.0
N G4 X3 -1.0
N G5
CONSTANTS
ENGVAL2 G1 1.0
ENGVAL2 G2 1.0
ENGVAL2 G3 1.0
ENGVAL2 G4 -1.0
ENGVAL2 G5 36.0
BOUNDS
FR ENGVAL2 'DEFAULT'
START POINT
ENGVAL2 X1 1.0
ENGVAL2 X2 2.0
ENGVAL2 X3 0.0
ELEMENT TYPE
EV SQ X
EV SSQ X
EP SSQ S
EV ELT X Y
ELEMENT USES
XT 'DEFAULT' SQ
V E1 X X1
V E2 X X2
V E3 X X3
V E4 X X2
T E5 ELT
V E5 X X1
V E5 Y X3
T E6 SSQ
V E6 X X3
P E6 S 2.0
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
E G1 E1 E2
E G1 E3
E G2 E1 E2
E G2 E6
E G5 E4 3.0 E5
OBJECT BOUND
LO ENGVAL2 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS ENGVAL2
TEMPORARIES
R TWOW
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
T SSQ
F ( X - S )**2
G X 2.0 * ( X - S )
H X X 2.0
T ELT
A TWOW 5.0 * Y - X + 1.
F X**3 + TWOW * TWOW
G X 3.0 * X**2 - 2.0 * TWOW
G Y 10.0 * TWOW
H X X 6.0 * X + 2.0
H X Y -10.0
H Y Y 50.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS ENGVAL2
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA