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SCOSINE.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME SCOSINE
* Problem :
* *********
* Another function with nontrivial groups and
* repetitious elements.
* NB: scaled version of COSINE
* Source:
* N. Gould, private communication.
* SIF input: N. Gould, Nov 1997
* classification OUR2-AN-V-0
* number of variables
*IE N 10 $-PARAMETER
*IE N 100 $-PARAMETER
*IE N 1000 $-PARAMETER original value
IE N 5000 $-PARAMETER
*IE N 10000 $-PARAMETER
* ratio of smallest to largest scale factors will be exp(scal)
RE SCAL 12.0
* other parameter definitions
IE 1 1
IA N-1 N -1
RI RN-1 N-1
RM -RN-1 RN-1 -1.0
RE ONE 1.0
RI RN N
RA RN-1 RN -1
VARIABLES
DO I 1 N
IA I-1 I -1
RI RI-1 I-1
R/ RAT RI-1 RN-1
R* ARG RAT SCAL
A( SCALE(I) EXP ARG
X X(I)
ND
GROUPS
* objective function
DO I 1 N-1
IA I+1 I 1
AM MULT SCALE(I+1)-0.5
ZN G(I) X(I+1) MULT
OD
BOUNDS
FR SCOSINE 'DEFAULT'
START POINT
DO I 1 N
A/ DIV ONE SCALE(I)
ZV SCOSINE X(I) DIV
ND
ELEMENT TYPE
EV SQ V
EP SQ P
ELEMENT USES
DO I 1 N-1
XT E(I) SQ
ZV E(I) V X(I)
ZP E(I) P SCALE(I)
ND
GROUP TYPE
GV COS GVAR
GROUP USES
DO I 1 N-1
XT G(I) COS
XE G(I) E(I)
ND
OBJECT BOUND
XL SCOSINE -RN-1
* Solution
*LO SOLTN ???
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS SCOSINE
TEMPORARIES
R PP
INDIVIDUALS
T SQ
A PP P * P
F PP * V * V
G V PP * ( V + V )
H V V 2.0 * PP
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS SCOSINE
TEMPORARIES
R COSG
M SIN
M COS
INDIVIDUALS
T COS
A COSG COS( GVAR )
F COSG
G - SIN( GVAR )
H - COSG
ENDATA