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S308.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME S308
* Problem :
* *********
* Source: problem 308 in
* K. Schittkowski,
* " More Test Problems for Nonlinear Programming Codes",
* Springer Verlag, Berlin, 1987.
* SIF input: Ph. Toint, April 1991.
* classification SUR2-AN-2-0
VARIABLES
X1
X2
GROUPS
N O1
N O2
N O3
BOUNDS
FR S308 'DEFAULT'
START POINT
XV S308 X1 3.0
XV S308 X2 0.1
ELEMENT TYPE
EV QUAD X Y
EV SINE X
EV COSN X
ELEMENT USES
T EQ QUAD
ZV EQ X X1
ZV EQ Y X2
T ES SINE
ZV ES X X1
T EC COSN
ZV EC X X2
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
E O1 EQ
E O2 ES
E O3 EC
OBJECT BOUND
LO S308 0.0
* Solution
*LO SOLTN 0.773199
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS S308
TEMPORARIES
R COSX
R SINX
M COS
M SIN
INDIVIDUALS
T QUAD
F X * X + X * Y + Y * Y
G X 2.0 * X + Y
G Y 2.0 * Y + X
H X X 2.0
H X Y 1.0
H Y Y 2.0
T SINE
A SINX SIN(X)
F SINX
G X COS(X)
H X X - SINX
T COSN
A COSX COS(X)
F COSX
G X - SIN(X)
H X X - COSX
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS S308
* Least-square groups
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA