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HS85.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS85
* Problem :
* *********
* The problem is to optimize the net profit of an hypothetical
* wood-pulp plant. The constraints include the usual material
* and energy balances as well as several empirical equations.
* Source: problem 85 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: Nick Gould, September 1991.
* classification OOI2-MN-5-21
* Number of variables
IE N 5
* Constants
RE A2 17.505
RE A3 11.275
RE A4 214.228
RE A5 7.458
RE A6 0.961
RE A7 1.612
RE A8 0.146
RE A9 107.99
RE A10 922.693
RE A11 926.832
RE A12 18.766
RE A13 1072.163
RE A14 8961.448
RE A15 0.063
RE A16 71084.33
RE A17 2802713.0
RE B2 1053.6667
RE B3 35.03
RE B4 665.585
RE B5 584.463
RE B6 265.916
RE B7 7.046
RE B8 0.222
RE B9 273.366
RE B10 1286.105
RE B11 1444.046
RE B12 537.141
RE B13 3247.039
RE B14 26844.086
RE B15 0.386
RE B16 140000.0
RE B17 12146108.0
* Other useful parameters
IE 1 1
IE 2 2
IE 17 17
IE 19 19
IE 20 20
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N OBJ
G CON0 X2 1.5 X3 -1.0
DO I 1 20
ZG CON(I)
ND
CONSTANTS
HS85 OBJ 0.1365 CON1 213.1
DO I 2 17
Z HS85 CON(I) A(I)
ND
HS85 CON19 -21.0 CON20 110.6
RANGES
HS85 CON1 192.13
DO I 2 17
A- DIF B(I) A(I)
Z HS85 CON(I) DIF
ND
BOUNDS
LO HS85 X1 7.044148D+2
UP HS85 X1 9.063855D+2
LO HS85 X2 6.86D+1
UP HS85 X2 2.8888D+2
UP HS85 X3 1.3475D+2
LO HS85 X4 1.930D+2
UP HS85 X4 2.870966D+2
LO HS85 X5 2.50D+1
UP HS85 X5 8.41988D+1
START POINT
HS85 X1 9.0D+2 X2 8.0D+1
HS85 X3 1.15D+2 X4 2.67D+2
HS85 X5 2.7D+1
HS85SOL X1 7.05803D+2 X2 6.860005D+1
HS85SOL X3 1.0290001D+2 X4 282.324999
HS85SOL X5 37.5850413
ELEMENT TYPE
* Y
EV Y X1 X2
EV Y X3 X4
EV Y X5
EP Y PI
* C
EV C X1 X2
EV C X3 X4
EV C X5
EP C PI
ELEMENT USES
DO I 1 19
RI PI I
RA PI PI 0.01
XT C(I) C
ZV C(I) X1 X1
ZV C(I) X2 X2
ZV C(I) X3 X3
ZV C(I) X4 X4
ZV C(I) X5 X5
ZP C(I) PI PI
ND
DO I 1 20
RI PI I
RA PI PI 0.01
XT Y(I) Y
ZV Y(I) X1 X1
ZV Y(I) X2 X2
ZV Y(I) X3 X3
ZV Y(I) X4 X4
ZV Y(I) X5 X5
ZP Y(I) PI PI
ND
GROUP USES
E OBJ Y17 -5.843D-7 Y14 1.17D-4
E OBJ Y13 2.358D-5 Y16 1.502D-6
E OBJ Y12 0.0321 Y5 0.00423
E OBJ C18 1.0D-4 C19 37.48
DO I 1 20
XE CON(I) Y(I)
ND
OBJECT BOUND
* Solution
*LO SOLTN -1.90513375
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS85
TEMPORARIES
I I
I IFLAG
I IFUN85
R YA(20)
R YB(20)
R YC(20)
R YD(20)
R YE(20)
R YF(20)
R YL(20)
R YM(20)
R YN(20)
R YO(20)
R YP(20)
R YQ(20)
R YR(20)
R YS(20)
R YT(20)
R YU(20)
R YV(20)
R YW(20)
R YX(20)
R YY(20)
R YZ(20)
R CA(19)
R CB(19)
R CC(19)
R CD(19)
R CE(19)
R CF(19)
R CL(19)
R CM(19)
R CN(19)
R CO(19)
R CP(19)
R CQ(19)
R CR(19)
R CS(19)
R CT(19)
R CU(19)
R CV(19)
R CW(19)
R CX(19)
R CY(19)
R CZ(19)
L EVAL
M INT
F IFUN85
GLOBALS
A EVAL .FALSE.
INDIVIDUALS
* Element type Y
T Y
A I INT( PI )
A IFLAG IFUN85( EVAL, X1, X2, X3, X4, X5,
A+ CF, CA, CB, CC, CD, CE,
A+ CL, CM, CN, CO, CP, CQ,
A+ CR, CS, CT, CU, CV, CW,
A+ CX, CY, CZ,
A+ YF, YA, YB, YC, YD, YE,
A+ YL, YM, YN, YO, YP, YQ,
A+ YR, YS, YT, YU, YV, YW,
A+ YX, YY, YZ )
F YF( I )
G X1 YA( I )
G X2 YB( I )
G X3 YC( I )
G X4 YD( I )
G X5 YE( I )
H X1 X1 YL( I )
H X1 X2 YM( I )
H X2 X2 YN( I )
H X1 X3 YO( I )
H X2 X3 YP( I )
H X3 X3 YQ( I )
H X1 X4 YR( I )
H X2 X4 YS( I )
H X3 X4 YT( I )
H X4 X4 YU( I )
H X1 X5 YV( I )
H X2 X5 YW( I )
H X3 X5 YX( I )
H X4 X5 YY( I )
H X5 X5 YZ( I )
* Element type C
T C
A I INT( PI )
A IFLAG IFUN85( EVAL, X1, X2, X3, X4, X5,
A+ CF, CA, CB, CC, CD, CE,
A+ CL, CM, CN, CO, CP, CQ,
A+ CR, CS, CT, CU, CV, CW,
A+ CX, CY, CZ,
A+ YF, YA, YB, YC, YD, YE,
A+ YL, YM, YN, YO, YP, YQ,
A+ YR, YS, YT, YU, YV, YW,
A+ YX, YY, YZ )
F CF( I )
G X1 CA( I )
G X2 CB( I )
G X3 CC( I )
G X4 CD( I )
G X5 CE( I )
H X1 X1 CL( I )
H X1 X2 CM( I )
H X2 X2 CN( I )
H X1 X3 CO( I )
H X2 X3 CP( I )
H X3 X3 CQ( I )
H X1 X4 CR( I )
H X2 X4 CS( I )
H X3 X4 CT( I )
H X4 X4 CU( I )
H X1 X5 CV( I )
H X2 X5 CW( I )
H X3 X5 CX( I )
H X4 X5 CY( I )
H X5 X5 CZ( I )
ENDATA
INTEGER FUNCTION IFUN85( EVAL, X1, X2, X3, X4, X5,
* C, C1, C2, C3, C4, C5,
* C11, C12, C22, C13,
* C23, C33, C14, C24, C34, C44,
* C15, C25, C35, C45, C55,
* Y, Y1, Y2, Y3, Y4, Y5,
* Y11, Y12, Y22, Y13,
* Y23, Y33, Y14, Y24, Y34, Y44,
* Y15, Y25, Y35, Y45, Y55 )
LOGICAL EVAL
DOUBLE PRECISION X1, X2, X3, X4, X5, C (19), C1 (19),
* C2(19) , C3 (19), C4 (19), C5 (19),
* C11(19), C12(19), C22(19), C13(19),
* C23(19), C33(19), C14(19), C24(19),
* C34(19), C44(19), C15(19), C25(19),
* C35(19), C45(19), C55(19), Y (20),
* Y1 (20), Y2 (20), Y3 (20), Y4 (20),
* Y5 (20), Y11(20), Y12(20), Y22(20),
* Y13(20), Y23(20), Y33(20), Y14(20),
* Y24(20), Y34(20), Y44(20), Y15(20),
* Y25(20), Y35(20), Y45(20), Y55(20)
DOUBLE PRECISION A, B, D, E, F, TWO
PARAMETER ( TWO = 2.0D+0 )
SAVE
IFUN85 = 0
IF ( EVAL ) RETURN
C
C Compute the function and derivative values in sequence.
C
C Function Y1.
C
A = 4.16D+1
Y ( 1 ) = X2 + X3 + A
Y1 ( 1 ) = 0.0D+0
Y2 ( 1 ) = 1.0D+0
Y3 ( 1 ) = 1.0D+0
Y4 ( 1 ) = 0.0D+0
Y5 ( 1 ) = 0.0D+0
Y11( 1 ) = 0.0D+0
Y12( 1 ) = 0.0D+0
Y22( 1 ) = 0.0D+0
Y13( 1 ) = 0.0D+0
Y23( 1 ) = 0.0D+0
Y33( 1 ) = 0.0D+0
Y14( 1 ) = 0.0D+0
Y24( 1 ) = 0.0D+0
Y34( 1 ) = 0.0D+0
Y44( 1 ) = 0.0D+0
Y15( 1 ) = 0.0D+0
Y25( 1 ) = 0.0D+0
Y35( 1 ) = 0.0D+0
Y45( 1 ) = 0.0D+0
Y55( 1 ) = 0.0D+0
C
C Function C1.
C
A = 2.4D-2
B = 4.62D+0
C ( 1 ) = A * X4 - B
C1 ( 1 ) = 0.0D+0
C2 ( 1 ) = 0.0D+0
C3 ( 1 ) = 0.0D+0
C4 ( 1 ) = A
C5 ( 1 ) = 0.0D+0
C11( 1 ) = 0.0D+0
C12( 1 ) = 0.0D+0
C22( 1 ) = 0.0D+0
C13( 1 ) = 0.0D+0
C23( 1 ) = 0.0D+0
C33( 1 ) = 0.0D+0
C14( 1 ) = 0.0D+0
C24( 1 ) = 0.0D+0
C34( 1 ) = 0.0D+0
C44( 1 ) = 0.0D+0
C15( 1 ) = 0.0D+0
C25( 1 ) = 0.0D+0
C35( 1 ) = 0.0D+0
C45( 1 ) = 0.0D+0
C55( 1 ) = 0.0D+0
C
C Function Y2.
C
A = 1.2D+1
B = 1.25D+1
Y ( 2 ) = A + B / C( 1 )
Y1 ( 2 ) = 0.0D+0
Y2 ( 2 ) = 0.0D+0
Y3 ( 2 ) = 0.0D+0
Y4 ( 2 ) = - B * C4( 1 ) / C( 1 ) ** 2
Y5 ( 2 ) = 0.0D+0
Y11( 2 ) = 0.0D+0
Y12( 2 ) = 0.0D+0
Y22( 2 ) = 0.0D+0
Y13( 2 ) = 0.0D+0
Y23( 2 ) = 0.0D+0
Y33( 2 ) = 0.0D+0
Y14( 2 ) = 0.0D+0
Y24( 2 ) = 0.0D+0
Y34( 2 ) = 0.0D+0
Y44( 2 ) = - B * C44( 1 ) / C( 1 ) ** 2
* + TWO * B * C4( 1 ) ** 2 / C( 1 ) ** 3
Y15( 2 ) = 0.0D+0
Y25( 2 ) = 0.0D+0
Y35( 2 ) = 0.0D+0
Y45( 2 ) = 0.0D+0
Y55( 2 ) = 0.0D+0
C
C Function C2.
C
A = 3.535D-4
B = 5.311D-1
D = 8.705D-2
C ( 2 ) = A * X1 ** 2 + B * X1 + D * X1 * Y( 2 )
C1 ( 2 ) = TWO * A * X1 + B + D * Y( 2 )
C2 ( 2 ) = 0.0D+0
C3 ( 2 ) = 0.0D+0
C4 ( 2 ) = D * X1 * Y4( 2 )
C5 ( 2 ) = 0.0D+0
C11( 2 ) = TWO * A
C12( 2 ) = 0.0D+0
C22( 2 ) = 0.0D+0
C13( 2 ) = 0.0D+0
C23( 2 ) = 0.0D+0
C33( 2 ) = 0.0D+0
C14( 2 ) = D * Y4( 2 )
C24( 2 ) = 0.0D+0
C34( 2 ) = 0.0D+0
C44( 2 ) = D * X1 * Y44( 2 )
C15( 2 ) = 0.0D+0
C25( 2 ) = 0.0D+0
C35( 2 ) = 0.0D+0
C45( 2 ) = 0.0D+0
C55( 2 ) = 0.0D+0
C
C Function C3.
C
A = 5.2D-2
B = 7.8D+1
D = 2.377D-3
C ( 3 ) = A * X1 + B + D * X1 * Y( 2 )
C1 ( 3 ) = A + D * Y( 2 )
C2 ( 3 ) = 0.0D+0
C3 ( 3 ) = 0.0D+0
C4 ( 3 ) = D * X1 * Y4( 2 )
C5 ( 3 ) = 0.0D+0
C11( 3 ) = 0.0D+0
C12( 3 ) = 0.0D+0
C22( 3 ) = 0.0D+0
C13( 3 ) = 0.0D+0
C23( 3 ) = 0.0D+0
C33( 3 ) = 0.0D+0
C14( 3 ) = D * Y4( 2 )
C24( 3 ) = 0.0D+0
C34( 3 ) = 0.0D+0
C44( 3 ) = D * X1 * Y44( 2 )
C15( 3 ) = 0.0D+0
C25( 3 ) = 0.0D+0
C35( 3 ) = 0.0D+0
C45( 3 ) = 0.0D+0
C55( 3 ) = 0.0D+0
C
C Function Y3.
C
Y ( 3 ) = C( 2 ) / C( 3 )
Y1 ( 3 ) = C1( 2 ) / C( 3 )
* - C( 2 ) * C1( 3 ) / C( 3 ) ** 2
Y2 ( 3 ) = 0.0D+0
Y3 ( 3 ) = 0.0D+0
Y4 ( 3 ) = C4( 2 ) / C( 3 )
* - C( 2 ) * C4( 3 ) / C( 3 ) ** 2
Y5 ( 3 ) = 0.0D+0
Y11( 3 ) = C11( 2 ) / C( 3 ) -
* TWO * C1( 2 ) * C1( 3 ) / C( 3 ) ** 2 -
* C( 2 ) * C11( 3 ) / C( 3 ) ** 2 +
* TWO * C( 2 ) * C1( 3 ) **2 / C( 3 ) ** 3
Y12( 3 ) = 0.0D+0
Y22( 3 ) = 0.0D+0
Y13( 3 ) = 0.0D+0
Y23( 3 ) = 0.0D+0
Y33( 3 ) = 0.0D+0
Y14( 3 ) = C14( 2 ) / C( 3 ) -
* C1( 2 ) * C4( 3 ) / C( 3 ) ** 2 -
* C4( 2 ) * C1( 3 ) / C( 3 ) ** 2 -
* C( 2 ) * C14( 3 ) / C( 3 ) ** 2 +
* TWO * C( 2 ) * C1( 3 ) * C4( 3 ) / C( 3 ) ** 3
Y24( 3 ) = 0.0D+0
Y34( 3 ) = 0.0D+0
Y44( 3 ) = C44( 2 ) / C( 3 ) -
* TWO * C4( 2 ) * C4( 3 ) / C( 3 ) ** 2 -
* C( 2 ) * C44( 3 ) / C( 3 ) ** 2 +
* TWO * C( 2 ) * C4( 3 ) **2 / C( 3 ) ** 3
Y15( 3 ) = 0.0D+0
Y25( 3 ) = 0.0D+0
Y35( 3 ) = 0.0D+0
Y45( 3 ) = 0.0D+0
Y55( 3 ) = 0.0D+0
C
C Function Y4.
C
A = 1.9D+1
Y ( 4 ) = A * Y( 3 )
Y1 ( 4 ) = A * Y1( 3 )
Y2 ( 4 ) = 0.0D+0
Y3 ( 4 ) = 0.0D+0
Y4 ( 4 ) = A * Y4( 3 )
Y5 ( 4 ) = 0.0D+0
Y11( 4 ) = A * Y11( 3 )
Y12( 4 ) = 0.0D+0
Y22( 4 ) = 0.0D+0
Y13( 4 ) = 0.0D+0
Y23( 4 ) = 0.0D+0
Y33( 4 ) = 0.0D+0
Y14( 4 ) = A * Y14( 3 )
Y24( 4 ) = 0.0D+0
Y34( 4 ) = 0.0D+0
Y44( 4 ) = A * Y44( 3 )
Y15( 4 ) = 0.0D+0
Y25( 4 ) = 0.0D+0
Y35( 4 ) = 0.0D+0
Y45( 4 ) = 0.0D+0
Y55( 4 ) = 0.0D+0
C
C Function C4.
C
A = 4.782D-2
B = 1.956D-1
D = 6.376D-1
E = 1.594D+0
C ( 4 ) = A * ( X1 - Y( 3 ) ) +
* B * ( ( X1 - Y( 3 ) ) ** 2 ) / X2 +
* D * Y( 4 ) + E * Y( 3 )
C1 ( 4 ) = A * ( 1.0D+0 - Y1( 3 ) ) +
* TWO * B * ( X1 - Y( 3 ) ) *
* ( 1.0D+0 - Y1( 3 ) ) / X2 +
* D * Y1( 4 ) + E * Y1( 3 )
C2 ( 4 ) = - B * ( ( X1 - Y( 3 ) ) ** 2 ) / X2 ** 2
C3 ( 4 ) = 0.0D+0
C4 ( 4 ) = A * ( - Y4( 3 ) ) + TWO * B * ( X1 - Y( 3 ) ) *
* ( - Y4( 3 ) ) / X2 + D * Y4( 4 ) + E * Y4( 3 )
C5 ( 4 ) = 0.0D+0
C11( 4 ) = A * ( - Y11( 3 ) ) + TWO * B *
* ( 1.0D+0 - Y1( 3 ) ) ** 2 / X2 +
* TWO * B * ( X1 - Y( 3 ) ) * ( - Y11( 3 ) ) / X2 +
* D * Y11( 4 ) + E * Y11( 3 )
C12( 4 ) = - TWO * B * ( X1 - Y( 3 ) ) *
* ( 1.0D+0 - Y1( 3 ) ) / X2 ** 2
C22( 4 ) = TWO * B * ( ( X1 - Y( 3 ) ) ** 2 ) / X2 ** 3
C13( 4 ) = 0.0D+0
C23( 4 ) = 0.0D+0
C33( 4 ) = 0.0D+0
C14( 4 ) = A * ( - Y14( 3 ) ) + TWO * B * ( - Y4( 3 ) ) *
* ( 1.0D+0 - Y1( 3 ) ) / X2 +
* TWO * B * ( X1 - Y( 3 ) ) *
* ( - Y14( 3 ) ) / X2 + D * Y14( 4 ) + E * Y14( 3 )
C24( 4 ) = - TWO * B * ( X1 - Y( 3 ) ) *
* ( - Y4( 3 ) ) / X2 ** 2
C34( 4 ) = 0.0D+0
C44( 4 ) = A * ( - Y44( 3 ) ) + TWO *
* B * ( - Y4( 3 ) ) ** 2 / X2 +
* TWO * B * ( X1 - Y( 3 ) ) * ( - Y44( 3 ) ) / X2 +
* D * Y44( 4 ) + E * Y44( 3 )
C15( 4 ) = 0.0D+0
C25( 4 ) = 0.0D+0
C35( 4 ) = 0.0D+0
C45( 4 ) = 0.0D+0
C55( 4 ) = 0.0D+0
C
C Function C5.
C
A = 1.0D+2
C ( 5 ) = A * X2
C1 ( 5 ) = 0.0D+0
C2 ( 5 ) = A
C3 ( 5 ) = 0.0D+0
C4 ( 5 ) = 0.0D+0
C5 ( 5 ) = 0.0D+0
C11( 5 ) = 0.0D+0
C12( 5 ) = 0.0D+0
C22( 5 ) = 0.0D+0
C13( 5 ) = 0.0D+0
C23( 5 ) = 0.0D+0
C33( 5 ) = 0.0D+0
C14( 5 ) = 0.0D+0
C24( 5 ) = 0.0D+0
C34( 5 ) = 0.0D+0
C44( 5 ) = 0.0D+0
C15( 5 ) = 0.0D+0
C25( 5 ) = 0.0D+0
C35( 5 ) = 0.0D+0
C45( 5 ) = 0.0D+0
C55( 5 ) = 0.0D+0
C
C Function C6.
C
C ( 6 ) = X1 - Y( 3 ) - Y( 4 )
C1 ( 6 ) = 1.0D+0 - Y1( 3 ) - Y1( 4 )
C2 ( 6 ) = 0.0D+0
C3 ( 6 ) = 0.0D+0
C4 ( 6 ) = - Y4( 3 ) - Y4( 4 )
C5 ( 6 ) = 0.0D+0
C11( 6 ) = - Y11( 3 ) - Y11( 4 )
C12( 6 ) = 0.0D+0
C22( 6 ) = 0.0D+0
C13( 6 ) = 0.0D+0
C23( 6 ) = 0.0D+0
C33( 6 ) = 0.0D+0
C14( 6 ) = - Y14( 3 ) - Y14( 4 )
C24( 6 ) = 0.0D+0
C34( 6 ) = 0.0D+0
C44( 6 ) = - Y44( 3 ) - Y44( 4 )
C15( 6 ) = 0.0D+0
C25( 6 ) = 0.0D+0
C35( 6 ) = 0.0D+0
C45( 6 ) = 0.0D+0
C55( 6 ) = 0.0D+0
C
C Function C7.
C
A = 9.5D-1
C ( 7 ) = A - C( 4 ) / C( 5 )
C1 ( 7 ) = - C1( 4 ) / C( 5 )
C2 ( 7 ) = - C2( 4 ) / C( 5 ) + C( 4 ) * C2( 5 ) / C( 5 ) ** 2
C3 ( 7 ) = 0.0D+0
C4 ( 7 ) = - C4( 4 ) / C( 5 )
C5 ( 7 ) = 0.0D+0
C11( 7 ) = - C11( 4 ) / C( 5 )
C12( 7 ) = - C12( 4 ) / C( 5 ) + C1( 4 ) * C2( 5 ) / C( 5 ) ** 2
C22( 7 ) = - C22( 4 ) / C( 5 ) +
* TWO * C2( 4 ) * C2( 5 ) / C( 5 ) ** 2 +
* C( 4 ) * C22( 5 ) / C( 5 ) ** 2 -
* TWO * C( 4 ) * C2( 5 ) **2 / C( 5 ) ** 3
C13( 7 ) = 0.0D+0
C23( 7 ) = 0.0D+0
C33( 7 ) = 0.0D+0
C14( 7 ) = - C14( 4 ) / C( 5 )
C24( 7 ) = - C24( 4 ) / C( 5 ) +
* C4( 4 ) * C2( 5 ) / C( 5 ) ** 2 +
* C( 4 ) * C24( 5 ) / C( 5 ) ** 2
C34( 7 ) = 0.0D+0
C44( 7 ) = - C44( 4 ) / C( 5 )
C15( 7 ) = 0.0D+0
C25( 7 ) = 0.0D+0
C35( 7 ) = 0.0D+0
C45( 7 ) = 0.0D+0
C55( 7 ) = 0.0D+0
C
C Function Y5.
C
Y ( 5 ) = C( 6 ) * C( 7 )
Y1 ( 5 ) = C1( 6 ) * C( 7 ) + C( 6 ) * C1( 7 )
Y2 ( 5 ) = C( 6 ) * C2( 7 )
Y3 ( 5 ) = 0.0D+0
Y4 ( 5 ) = C4( 6 ) * C( 7 ) + C( 6 ) * C4( 7 )
Y5 ( 5 ) = 0.0D+0
Y11( 5 ) = C11( 6 ) * C( 7 ) + TWO * C1( 6 ) * C1( 7 ) +
* C( 6 ) * C11( 7 )
Y12( 5 ) = C1( 6 ) * C2( 7 ) + C( 6 ) * C12( 7 )
Y22( 5 ) = C( 6 ) * C22( 7 )
Y13( 5 ) = 0.0D+0
Y23( 5 ) = 0.0D+0
Y33( 5 ) = 0.0D+0
Y14( 5 ) = C14( 6 ) * C( 7 ) + C4( 6 ) * C1( 7 ) +
* C1( 6 ) * C4( 7 ) + C( 6 ) * C14( 7 )
Y24( 5 ) = C4( 6 ) * C2( 7 ) + C( 6 ) * C24( 7 )
Y34( 5 ) = 0.0D+0
Y44( 5 ) = C44( 6 ) * C( 7 ) + TWO * C4( 6 ) * C4( 7 ) +
* C( 6 ) * C44( 7 )
Y15( 5 ) = 0.0D+0
Y25( 5 ) = 0.0D+0
Y35( 5 ) = 0.0D+0
Y45( 5 ) = 0.0D+0
Y55( 5 ) = 0.0D+0
C
C Function Y6.
C
Y ( 6 ) = X1 - Y( 3 ) - Y( 4 ) - Y( 5 )
Y1 ( 6 ) = 1.0D+0 - Y1( 3 ) - Y1( 4 ) - Y1( 5 )
Y2 ( 6 ) = - Y2( 5 )
Y3 ( 6 ) = 0.0D+0
Y4 ( 6 ) = - Y4( 3 ) - Y4( 4 ) - Y4( 5 )
Y5 ( 6 ) = 0.0D+0
Y11( 6 ) = - Y11( 3 ) - Y11( 4 ) - Y11( 5 )
Y12( 6 ) = - Y12( 5 )
Y22( 6 ) = - Y22( 5 )
Y13( 6 ) = 0.0D+0
Y23( 6 ) = 0.0D+0
Y33( 6 ) = 0.0D+0
Y14( 6 ) = - Y14( 3 ) - Y14( 4 ) - Y14( 5 )
Y24( 6 ) = - Y24( 5 )
Y34( 6 ) = 0.0D+0
Y44( 6 ) = - Y44( 3 ) - Y44( 4 ) - Y44( 5 )
Y15( 6 ) = 0.0D+0
Y25( 6 ) = 0.0D+0
Y35( 6 ) = 0.0D+0
Y45( 6 ) = 0.0D+0
Y55( 6 ) = 0.0D+0
C
C Function C8.
C
A = 9.95D-1
C ( 8 ) = A * ( Y( 4 ) + Y( 5 ) )
C1 ( 8 ) = A * ( Y1( 4 ) + Y1( 5 ) )
C2 ( 8 ) = A * Y2( 5 )
C3 ( 8 ) = 0.0D+0
C4 ( 8 ) = A * ( Y4( 4 ) + Y4( 5 ) )
C5 ( 8 ) = 0.0D+0
C11( 8 ) = A * ( Y11( 4 ) + Y11( 5 ) )
C12( 8 ) = A * Y12( 5 )
C22( 8 ) = A * Y22( 5 )
C13( 8 ) = 0.0D+0
C23( 8 ) = 0.0D+0
C33( 8 ) = 0.0D+0
C14( 8 ) = A * ( Y14( 4 ) + Y14( 5 ) )
C24( 8 ) = A * Y24( 5 )
C34( 8 ) = 0.0D+0
C44( 8 ) = A * ( Y44( 4 ) + Y44( 5 ) )
C15( 8 ) = 0.0D+0
C25( 8 ) = 0.0D+0
C35( 8 ) = 0.0D+0
C45( 8 ) = 0.0D+0
C55( 8 ) = 0.0D+0
C
C Function Y7.
C
Y ( 7 ) = C( 8 ) / Y( 1 )
Y1 ( 7 ) = C1( 8 ) / Y( 1 )
Y2 ( 7 ) = C2( 8 ) / Y( 1 ) - C( 8 ) * Y2( 1 ) / Y( 1 ) ** 2
Y3 ( 7 ) = - C( 8 ) * Y3( 1 ) / Y( 1 ) ** 2
Y4 ( 7 ) = C4( 8 ) / Y( 1 )
Y5 ( 7 ) = 0.0D+0
Y11( 7 ) = C11( 8 ) / Y( 1 )
Y12( 7 ) = C12( 8 ) / Y( 1 ) -
* C1( 8 ) * Y2( 1 ) / Y( 1 ) ** 2
Y22( 7 ) = C22( 8 ) / Y( 1 ) -
* TWO * C2( 8 ) * Y2( 1 ) / Y( 1 ) ** 2 +
* TWO * C( 8 ) * Y2( 1 ) ** 2 / Y( 1 ) ** 3
Y13( 7 ) = - C1( 8 ) * Y3( 1 ) / Y( 1 ) ** 2
Y23( 7 ) = C23( 8 ) / Y( 1 ) -
* C2( 8 ) * Y3( 1 ) / Y( 1 ) ** 2 -
* C3( 8 ) * Y2( 1 ) / Y( 1 ) ** 2 +
* TWO * C( 8 ) * Y2( 1 ) * Y3( 1 ) / Y( 1 ) ** 3
Y33( 7 ) = - C3( 8 ) * Y3( 1 ) / Y( 1 ) ** 2 +
* TWO * C( 8 ) * Y3( 1 ) ** 2 / Y( 1 ) ** 3
Y14( 7 ) = C14( 8 ) / Y( 1 )
Y24( 7 ) = C24( 8 ) / Y( 1 ) - C4( 8 ) * Y2( 1 ) / Y( 1 ) ** 2
Y34( 7 ) = - C4( 8 ) * Y3( 1 ) / Y( 1 ) ** 2 +
* TWO * C( 8 ) * Y3( 1 ) * Y4( 1 ) / Y( 1 ) ** 3
Y44( 7 ) = C44( 8 ) / Y( 1 )
Y15( 7 ) = 0.0D+0
Y25( 7 ) = 0.0D+0
Y35( 7 ) = 0.0D+0
Y45( 7 ) = 0.0D+0
Y55( 7 ) = 0.0D+0
C
C Function Y8.
C
A = 3.798D+3
Y ( 8 ) = C( 8 ) / A
Y1 ( 8 ) = C1( 8 ) / A
Y2 ( 8 ) = C2( 8 ) / A
Y3 ( 8 ) = 0.0D+0
Y4 ( 8 ) = C4( 8 ) / A
Y5 ( 8 ) = 0.0D+0
Y11( 8 ) = C11( 8 ) / A
Y12( 8 ) = C12( 8 ) / A
Y22( 8 ) = C22( 8 ) / A
Y13( 8 ) = 0.0D+0
Y23( 8 ) = 0.0D+0
Y33( 8 ) = 0.0D+0
Y14( 8 ) = C14( 8 ) / A
Y24( 8 ) = C24( 8 ) / A
Y34( 8 ) = 0.0D+0
Y44( 8 ) = C44( 8 ) / A
Y15( 8 ) = 0.0D+0
Y25( 8 ) = 0.0D+0
Y35( 8 ) = 0.0D+0
Y45( 8 ) = 0.0D+0
Y55( 8 ) = 0.0D+0
C
C Function C9.
C
A = 6.63D-2
B = 3.153D-1
C ( 9 ) = Y( 7 ) - A * Y( 7 ) / Y( 8 ) - B
C1 ( 9 ) = Y1( 7 )
* - A * Y1( 7 ) / Y( 8 )
* + A * Y( 7 ) * Y1( 8 ) / Y( 8 ) ** 2
C2 ( 9 ) = Y2( 7 )
* - A * Y2( 7 ) / Y( 8 )
* + A * Y( 7 ) * Y2( 8 ) / Y( 8 ) ** 2
C3 ( 9 ) = Y3( 7 )
* - A * Y3( 7 ) / Y( 8 )
* + A * Y( 7 ) * Y3( 8 ) / Y( 8 ) ** 2
C4 ( 9 ) = Y4( 7 )
* - A * Y4( 7 ) / Y( 8 )
* + A * Y( 7 ) * Y4( 8 ) / Y( 8 ) ** 2
C5 ( 9 ) = 0.0D+0
C11( 9 ) = Y11( 7 ) - A * Y11( 7 ) / Y( 8 ) +
* TWO * A * Y1( 7 ) * Y1( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y11( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y1( 8 ) ** 2 / Y( 8 ) ** 3
C12( 9 ) = Y12( 7 ) - A * Y12( 7 ) / Y( 8 ) +
* A * Y1( 7 ) * Y2( 8 )/ Y( 8 ) ** 2 +
* A * Y2( 7 ) * Y1( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y12( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y1( 8 ) * Y2( 8 ) /
* Y( 8 ) ** 3
C22( 9 ) = Y22( 7 ) - A * Y22( 7 ) / Y( 8 ) +
* TWO * A * Y2( 7 ) * Y2( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y22( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y2( 8 ) ** 2 / Y( 8 ) ** 3
C13( 9 ) = Y13( 7 ) - A * Y13( 7 ) / Y( 8 ) +
* A * Y1( 7 ) * Y3( 8 )/ Y( 8 ) ** 2 +
* A * Y3( 7 ) * Y1( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y13( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y1( 8 ) * Y3( 8 ) /
* Y( 8 ) ** 3
C23( 9 ) = Y23( 7 ) - A * Y23( 7 ) / Y( 8 ) +
* A * Y2( 7 ) * Y3( 8 )/ Y( 8 ) ** 2 +
* A * Y3( 7 ) * Y2( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y23( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y2( 8 ) * Y3( 8 ) /
* Y( 8 ) ** 3
C33( 9 ) = Y33( 7 ) - A * Y33( 7 ) / Y( 8 ) +
* TWO * A * Y3( 7 ) * Y3( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y33( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y3( 8 ) ** 2 / Y( 8 ) ** 3
C14( 9 ) = Y14( 7 ) - A * Y14( 7 ) / Y( 8 ) +
* A * Y1( 7 ) * Y4( 8 )/ Y( 8 ) ** 2 +
* A * Y4( 7 ) * Y1( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y14( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y1( 8 ) * Y4( 8 ) /
* Y( 8 ) ** 3
C24( 9 ) = Y24( 7 ) - A * Y24( 7 ) / Y( 8 ) +
* A * Y2( 7 ) * Y4( 8 )/ Y( 8 ) ** 2 +
* A * Y4( 7 ) * Y2( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y24( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y2( 8 ) * Y4( 8 ) /
* Y( 8 ) ** 3
C34( 9 ) = Y34( 7 ) - A * Y34( 7 ) / Y( 8 ) +
* A * Y3( 7 ) * Y4( 8 )/ Y( 8 ) ** 2 +
* A * Y4( 7 ) * Y3( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y34( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y3( 8 ) * Y4( 8 ) /
* Y( 8 ) ** 3
C44( 9 ) = Y44( 7 ) - A * Y44( 7 ) / Y( 8 ) +
* TWO * A * Y4( 7 ) * Y4( 8 ) / Y( 8 ) ** 2 +
* A * Y( 7 ) * Y44( 8 ) / Y( 8 ) ** 2 -
* TWO * A * Y( 7 ) * Y4( 8 ) ** 2 / Y( 8 ) ** 3
C15( 9 ) = 0.0D+0
C25( 9 ) = 0.0D+0
C35( 9 ) = 0.0D+0
C45( 9 ) = 0.0D+0
C55( 9 ) = 0.0D+0
C
C Function Y9.
C
A = 9.682D+1
B = 3.21D-1
Y ( 9 ) = A / C( 9 ) + B * Y( 1 )
Y1 ( 9 ) = - A * C1( 9 ) / C( 9 ) ** 2
Y2 ( 9 ) = - A * C2( 9 ) / C( 9 ) ** 2 +
* B * Y2( 1 )
Y3 ( 9 ) = - A * C3( 9 ) / C( 9 ) ** 2 +
* B * Y3( 1 )
Y4 ( 9 ) = - A * C4( 9 ) / C( 9 ) ** 2
Y5 ( 9 ) = 0.0D+0
Y11( 9 ) = - A * C11( 9 ) / C( 9 ) ** 2 +
* TWO * A * C1( 9 ) ** 2 / C( 9 ) ** 3
Y12( 9 ) = - A * C12( 9 ) / C( 9 ) ** 2 +
* TWO * A * C1( 9 ) * C2( 9 ) / C( 9 ) ** 3
Y22( 9 ) = - A * C22( 9 ) / C( 9 ) ** 2 +
* TWO * A * C2( 9 ) ** 2 / C( 9 ) ** 3
Y13( 9 ) = - A * C13( 9 ) / C( 9 ) ** 2 +
* TWO * A * C1( 9 ) * C3( 9 ) / C( 9 ) ** 3
Y23( 9 ) = - A * C23( 9 ) / C( 9 ) ** 2 +
* TWO * A * C2( 9 ) * C3( 9 ) / C( 9 ) ** 3
Y33( 9 ) = - A * C33( 9 ) / C( 9 ) ** 2 +
* TWO * A * C3( 9 ) ** 2 / C( 9 ) ** 3
Y14( 9 ) = - A * C14( 9 ) / C( 9 ) ** 2 +
* TWO * A * C1( 9 ) * C4( 9 ) / C( 9 ) ** 3
Y24( 9 ) = - A * C24( 9 ) / C( 9 ) ** 2 +
* TWO * A * C2( 9 ) * C4( 9 ) / C( 9 ) ** 3
Y34( 9 ) = - A * C34( 9 ) / C( 9 ) ** 2 +
* TWO * A * C3( 9 ) * C4( 9 ) / C( 9 ) ** 3
Y44( 9 ) = - A * C44( 9 ) / C( 9 ) ** 2 +
* TWO * A * C4( 9 ) ** 2 / C( 9 ) ** 3
Y15( 9 ) = 0.0D+0
Y25( 9 ) = 0.0D+0
Y35( 9 ) = 0.0D+0
Y45( 9 ) = 0.0D+0
Y55( 9 ) = 0.0D+0
C
C Function Y10.
C
A = 2.29D+0
B = 1.258D+0
D = 1.29D+0
E = 1.71D+0
Y ( 10 ) = A * Y( 3 ) + B * Y( 4 ) +
* D * Y( 5 ) + E * Y( 6 )
Y1 ( 10 ) = A * Y1( 3 ) + B * Y1( 4 ) +
* D * Y1( 5 ) + E * Y1( 6 )
Y2 ( 10 ) = D * Y2( 5 ) + E * Y2( 6 )
Y3 ( 10 ) = 0.0D+0
Y4 ( 10 ) = A * Y4( 3 ) + B * Y4( 4 ) +
* D * Y4( 5 ) + E * Y4( 6 )
Y5 ( 10 ) = 0.0D+0
Y11( 10 ) = A * Y11( 3 ) + B * Y11( 4 ) +
* D * Y11( 5 ) + E * Y11( 6 )
Y12( 10 ) = D * Y12( 5 ) + E * Y12( 6 )
Y22( 10 ) = D * Y22( 5 ) + E * Y22( 6 )
Y13( 10 ) = 0.0D+0
Y23( 10 ) = 0.0D+0
Y33( 10 ) = 0.0D+0
Y14( 10 ) = A * Y14( 3 ) + B * Y14( 4 ) +
* D * Y14( 5 ) + E * Y14( 6 )
Y24( 10 ) = D * Y24( 5 ) + E * Y24( 6 )
Y34( 10 ) = 0.0D+0
Y44( 10 ) = A * Y44( 3 ) + B * Y44( 4 ) +
* D * Y44( 5 ) + E * Y44( 6 )
Y15( 10 ) = 0.0D+0
Y25( 10 ) = 0.0D+0
Y35( 10 ) = 0.0D+0
Y45( 10 ) = 0.0D+0
Y55( 10 ) = 0.0D+0
C
C Function Y11.
C
A = 1.71D+0
B = 5.8D-1
D = 4.52D-1
Y ( 11 ) = A * X1 + B * Y( 3 ) - D * Y( 4 )
Y1 ( 11 ) = A + B * Y1( 3 ) - D * Y1( 4 )
Y2 ( 11 ) = 0.0D+0
Y3 ( 11 ) = 0.0D+0
Y4 ( 11 ) = B * Y4( 3 ) - D * Y4( 4 )
Y5 ( 11 ) = 0.0D+0
Y11( 11 ) = B * Y11( 3 ) - D * Y11( 4 )
Y12( 11 ) = 0.0D+0
Y22( 11 ) = 0.0D+0
Y13( 11 ) = 0.0D+0
Y23( 11 ) = 0.0D+0
Y33( 11 ) = 0.0D+0
Y14( 11 ) = B * Y14( 3 ) - D * Y14( 4 )
Y24( 11 ) = 0.0D+0
Y34( 11 ) = 0.0D+0
Y44( 11 ) = B * Y44( 3 ) - D * Y44( 4 )
Y15( 11 ) = 0.0D+0
Y25( 11 ) = 0.0D+0
Y35( 11 ) = 0.0D+0
Y45( 11 ) = 0.0D+0
Y55( 11 ) = 0.0D+0
C
C Function C10.
C
A = 1.23D+1
B = 7.523D+2
C ( 10 ) = A / B
C1 ( 10 ) = 0.0D+0
C2 ( 10 ) = 0.0D+0
C3 ( 10 ) = 0.0D+0
C4 ( 10 ) = 0.0D+0
C5 ( 10 ) = 0.0D+0
C11( 10 ) = 0.0D+0
C12( 10 ) = 0.0D+0
C22( 10 ) = 0.0D+0
C13( 10 ) = 0.0D+0
C23( 10 ) = 0.0D+0