HS74.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS74

*   Problem :
*   *********

*   Source: problem 74 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: B Debarsy, Apr 1990.

*   classification OOR2-AY-4-5

*   Number of variables

 IE N                   4

*   Problem parameters

 RE A                   0.55

*   Other useful parameters

 IE 1                   1

VARIABLES

 DO I         1                        N
 X  X(I)
 ND

GROUPS

*   Objective function

 N  OBJ       X1        3.0            X2          2.0
 G  C1        X4        1.0            X3          -1.0
 G  C2        X3        1.0            X4          -1.0
 E  C3        X1        -1.0
 E  C4        X2        -1.0
 E  C5

CONSTANTS

 RM -A        A         -1.0

 Z  HS74      C1                       -A
 Z  HS74      C2                       -A
    HS74      C3        -894.8
    HS74      C4        -894.8
    HS74      C5        -1294.8

BOUNDS

 UP HS74      X1        1200.0
 UP HS74      X2        1200.0
 ZL HS74      X3                       -A
 ZU HS74      X3                       A
 ZL HS74      X4                       -A
 ZU HS74      X4                       A

ELEMENT TYPE

 EV CB        X

 EV SIN       X
 EP SIN       P

 EV SIN2      X                        Y
 IV SIN2      U

ELEMENT USES

 T  E1        CB
 V  E1        X                        X1

 T  E2        CB
 V  E2        X                        X2

 T  E3        SIN
 V  E3        X                        X3
 P  E3        P         0.25

 T  E4        SIN
 V  E4        X                        X4
 P  E4        P         0.25

 T  E5        SIN
 V  E5        X                        X3
 P  E5        P         -0.25

 T  E6        SIN
 V  E6        X                        X4
 P  E6        P         -0.25

 T  E7        SIN2
 V  E7        X                        X3
 V  E7        Y                        X4

 T  E8        SIN2
 V  E8        X                        X4
 V  E8        Y                        X3

GROUP USES

 RE TMP                 3.0
 RD TMP       TMP       0.000002

 E  OBJ       E1        1.0E-6
 ZE OBJ       E2                       TMP
 E  C3        E3        -1000.0        E4        -1000.0
 E  C4        E5        1000.0         E7        1000.0
 E  C5        E6        1000.0         E8        1000.0

OBJECT BOUND

*   Solution

*LO SOLTN               5126.4981

ENDATA

***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
***********************

ELEMENTS      HS74

TEMPORARIES

 R  ARG
 R  S
 R  C
 M  SIN
 M  COS

INDIVIDUALS

 T  CB
 F                      X**3
 G  X                   3 * (X**2)
 H  X         X         6 * X

 T  SIN
 A  ARG                 X + P
 A  S                   SIN( ARG )
 A  C                   COS( ARG )
 F                      S
 G  X                   C
 H  X         X         -S

 T  SIN2
 R  U         X         1.0            Y         -1.0
 A  ARG                 U - 0.25
 A  C                   COS( ARG )
 A  S                   SIN( ARG )
 F                      S
 G  U                   C
 H  U         U         -S

ENDATA