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S365MOD.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME S365MOD
* Problem :
* *********
* A problem by Walukiewicz.
* The original problem has been modified by the introduction of
* the parameter NEARZERO (which is equal to 0.0 in the original
* formulation). The modified problem merely has very large gradient
* components at the solution, instead of infinite.
* Source: a modification (Ph. Toint) of problem 365 in
* K. Schittkowski,
* " More Test Problems for Nonlinear Programming Codes",
* Springer Verlag, Berlin, 1987.
* SIF input: Ph. Toint, March 1991.
* classification QOR2-AY-7-5
* Problem parameter
RE NEARZERO 0.5
* Constants
IE 1 1
IE 7 7
VARIABLES
DO I 1 7
X X(I)
ND
GROUPS
N OBJ
G C1
G C2
G C3
G C4
G C5
CONSTANTS
S365MOD C1 4.0
BOUNDS
FR S365MOD 'DEFAULT'
ZL S365MOD X1 NEARZERO
ZL S365MOD X3 NEARZERO
XL S365MOD X5 1.0
XL S365MOD X7 1.0
START POINT
S365MOD X1 3.0
S365MOD X2 0.0
S365MOD X3 2.0
S365MOD X4 -1.5
S365MOD X5 1.5
S365MOD X6 5.0
S365MOD X7 0.0
ELEMENT TYPE
EV 2PR X Y
EV ISQ X Y
IV ISQ U
EV PX X Y
EV QX X Y
EV QX Z
IV QX U V
ELEMENT USES
T X1X3 2PR
V X1X3 X X1
V X1X3 Y X3
T E2 ISQ
V E2 X X4
V E2 Y X6
T E3 ISQ
V E3 X X5
V E3 Y X7
T X3X4 2PR
V X3X4 X X3
V X3X4 Y X4
T X2X5 2PR
V X2X5 X X2
V X2X5 Y X5
T X3X6 2PR
V X3X6 X X3
V X3X6 Y X6
T X2X7 2PR
V X2X7 X X2
V X2X7 Y X7
T X1X5 2PR
V X1X5 X X1
V X1X5 Y X5
T X1X7 2PR
V X1X7 X X1
V X1X7 Y X7
T EP PX
V EP X X2
V EP Y X3
T EQ QX
V EQ X X3
V EQ Y X2
V EQ Z X1
GROUP USES
E OBJ X1X3
E C1 E2 E3
E C2 X3X4 X2X5 -1.0
E C2 EP -1.0
E C3 X3X6 X2X7 -1.0
E C3 EP -1.0
E C4 X1X3 X2X5
E C4 X1X5 -1.0 X3X4 -1.0
E C4 EQ -1.0
E C5 X1X3 X2X7
E C5 X1X7 -1.0 X3X6 -1.0
E C5 EQ -1.0
OBJECT BOUND
* Solution
*LO SOLTN ???
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS S365MOD
TEMPORARIES
R X2
R ROOT
M SQRT
INDIVIDUALS
T 2PR
F X * Y
G X Y
G Y X
H X Y 1.0
T ISQ
R U X 1.0 Y -1.0
F U * U
G U U + U
H U U 2.0
T PX
A X2 X * X
A ROOT SQRT( X2 )
F ROOT + Y * Y
G X X / ROOT
G Y Y + Y
H X X ( 1.0 - X * X / X2 ) / ROOT
H Y Y 2.0
T QX
R U X 1.0
R V Y 1.0 Z -1.0
A X2 U * U
A ROOT SQRT( X2 )
F ROOT + V * V
G U U / ROOT
G V V + V
H U U ( 1.0 - U * U / X2 ) / ROOT
H V V 2.0
ENDATA