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HS99EXP.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS99EXP
* Problem :
* *********
* Source: an expanded form of problem 99 in
* W. Hock and K. Schittkowski,
* "Test examples for nonlinear programming codes",
* Lectures Notes in Economics and Mathematical Systems 187, Springer
* Verlag, Heidelberg, 1981.
* SIF input: Ph. Toint, April 1991.
* classification OOR2-AN-31-21
* Problem data
RE T1 0.0
RE T2 25.0
RE T3 50.0
RE T4 100.0
RE T5 150.0
RE T6 200.0
RE T7 290.0
RE T8 380.0
RE A1 0.0
RE A2 50.0
RE A3 50.0
RE A4 75.0
RE A5 75.0
RE A6 75.0
RE A7 100.0
RE A8 100.0
RE B 32.0
* Constants
IE 1 1
IE 2 2
IE 7 7
IE 8 8
* Increments
DO I 2 8
IA I-1 I -1
A- DT(I) T(I) T(I-1)
A* DTISQ DT(I) DT(I)
AM DT(I)SQ/2 DTISQ 0.5
ND
VARIABLES
DO I 1 7
X X(I)
X R(I)
X Q(I)
X S(I)
ND
X R(8)
X Q(8)
X S(8)
GROUPS
DO I 2 8
IA I-1 I -1
XE R(I)DEF R(I) -1.0 R(I-1) 1.0
XE Q(I)DEF Q(I) -1.0 Q(I-1) 1.0
ZE Q(I)DEF S(I-1) DT(I)
XE S(I)DEF S(I) -1.0 S(I-1) 1.0
ND
XN OBJ R(8) 1.0
XN OBJ 'SCALE' -1.0
CONSTANTS
DO I 2 7
A* RHS DT(I)SQ/2 B
Z HS99EXP Q(I)DEF RHS
A* RHS DT(I) B
Z HS99EXP S(I)DEF RHS
ND
X HS99EXP Q(8)DEF 100000.0
X HS99EXP S(8)DEF 1000.0
BOUNDS
FR HS99EXP 'DEFAULT'
XX HS99EXP R(1) 0.0
XX HS99EXP Q(1) 0.0
XX HS99EXP S(1) 0.0
DO I 1 7
XL HS99EXP X(I) 0.0
XU HS99EXP X(I) 1.58
ND
START POINT
DO I 1 7
XV HS99EXP X(I) 0.5
ND
ELEMENT TYPE
EV SN X
EV CS X
ELEMENT USES
DO I 1 7
XT SNX(I) SN
ZV SNX(I) X X(I)
XT CSX(I) CS
ZV CSX(I) X X(I)
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
T OBJ L2
DO I 2 8
IA I-1 I -1
A* W A(I) DT(I)
ZE R(I)DEF CSX(I-1) W
ZE S(I)DEF SNX(I-1) W
A* W A(I) DT(I)SQ/2
ZE Q(I)DEF SNX(I-1) W
ND
OBJECT BOUND
* Solution
*LO SOLTN -831079892.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS99EXP
TEMPORARIES
R SNX
R CSX
M SIN
M COS
INDIVIDUALS
T SN
A SNX SIN(X)
F SNX
G X COS(X)
H X X - SNX
T CS
A CSX COS(X)
F CSX
G X - SIN(X)
H X X - CSX
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS99EXP
* Least-square groups
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA