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SUBROUTINE LSPLIN(NI,XYI,ND,XYD,KY,KD,KT,DZ,DTX,DTY,DTOR,
* G,NCORE,ISNG)
LOGICAL IKT
LOGICAL BNONE,BONE
LOGICAL SPEC
LOGICAL OXR,OYR
LOGICAL BOTH
LOGICAL STWO,SONE,NETHR
INTEGER SIZE
C
DIMENSION XYI(1),XYD(1),G(1),NAME(2)
DATA NAME/4HLSPL,4HIN /
SPEC = .FALSE.
BONE = .FALSE.
BNONE = .FALSE.
SONE = .FALSE.
STWO = .FALSE.
OXR = .FALSE.
OYR = .FALSE.
BOTH = .FALSE.
IKT = .FALSE.
NETHR = .TRUE.
EY = FLOAT(KY)
C
C KY EFFECTS RIGID BODY ROWS AND COLUMNS OF A AND ROWS OF B
C
C DTX AND DTY EFFECT ROWS AND COLUMNS OF A AND ROWS OF B
C
C KD EFFECTS COLUMNS OF B
C
C SPEC GUARDS AGAINST SINGULAR MATRIX FOR ROTATIONS WITHOUT Y
C CONSTRAINED
C
IF(KD .EQ. 0) BNONE = .TRUE.
IF(KD .EQ. 1) BONE = .TRUE.
IF(KY.EQ.-1) SONE = .TRUE.
IF(KY.EQ.1) STWO = .TRUE.
IF(KT.EQ.1) IKT = .TRUE.
IF(DTX.LT.0.0) OXR = .TRUE.
IF(DTY.LT.0.0) OYR = .TRUE.
IF(OXR.AND.OYR) BOTH = .TRUE.
IF(.NOT.OXR.AND..NOT.OYR) NETHR = .FALSE.
DTOR2 = DTOR/2.0
NSC = 3
IF(KY.EQ.1) NSC = 2
IF(KY.EQ.-1) NSC = 1
SIZE = 3
IF(OXR) SIZE = SIZE-1
IF(OYR) SIZE = SIZE-1
IF(OYR.AND. KY.GT.-1) GO TO 5
GO TO 7
5 TEMP = XYI(1)
SPEC = .TRUE.
NII = 2*NI
DO 6 I = 1,NII,2
IF(XYI(I) .NE. TEMP) SPEC = .FALSE.
6 CONTINUE
7 CONTINUE
NCA = SIZE*NI + NSC
IF(SPEC) NCA = NCA -1
NCA2= 2*NCA
NCB = (KD+1) * ND
NCC = SIZE*NI
C
C CORE NEEDED
C A G INVERS
NEEDED =NCA*NCA+ NCB*NCC + 3*NCA
C B
IF(IKT) NEEDED = NEEDED + NCB*NCA
C C
IF(.NOT.IKT) NEEDED = NEEDED + NCC*NCA
IF(NEEDED .GT.NCORE) CALL MESAGE(-8,0,NAME)
IS= NCORE -3*NCA-1
IG= 1
C
C IF KT = 1 COMPUTE B THEN A THEN C IN THE SPACE OF A
C
C IF KT = 0 COMPUTE C THEN A THEN B IN THE SPACE OF A
C
IF(IKT) GO TO 100
C
C FILL IN C MATRIX
C
IC = NCB * NCC
MP = IC +1
10 DO 30 I = 1,NCC
DO 20 J = 1,NCA
IC = IC +1
G(IC) = 0.0
IF(I.EQ.J) G(IC) = 1.0
20 CONTINUE
30 CONTINUE
IF(IKT) GO TO 300
NC = NCC
IA = IC
GO TO 200
C
C B MATRIX
C
100 IB = NCB * NCC
MP = IB + 1
110 NJ = 2*ND
NII= 2*NI
DO 130 J=1,NJ,2
DO 120 I=1,NII,2
YM = XYD(J+1) - XYI(I+1)
AYM= ABS(YM)
AYMD = AYM*DTOR2
YP =(XYD(J+1) + XYI(I+1))
AYP= ABS(YP) * EY
AYPD = AYP*DTOR2
IB= IB +1
G(IB) = AYM**3/12.0 - XYD(J)*XYI(I)*AYMD
* + AYP**3/12.0 - XYD(J)*XYI(I)*AYPD
IF(BNONE) GO TO 111
G(IB+NCA) = AYM*YM/4.0 + AYP*YP/4.0
IF(BONE) GO TO 111
G(IB+NCA2)= XYI(I)*AYMD + XYI(I)*AYPD
111 IF(BOTH) GO TO 120
IF(OXR) GO TO 113
IB=IB+1
G(IB) = -AYM*YM/4.0 + AYP*YP/4.0
IF(BNONE) GO TO 112
G(IB+NCA) = -AYM/2.0 + AYP/2.0
IF(BONE) GO TO 112
G(IB+NCA2) = 0.0
112 IF(OYR) GO TO 120
113 IB = IB +1
G(IB)= XYD(J)*AYMD + XYD(J)*AYPD
IF(BNONE) GO TO 120
G(IB+NCA) = 0.0
IF(BONE) GO TO 120
G(IB+NCA2) = -AYMD - AYPD
120 CONTINUE
IB = IB +1
IF(SONE) GO TO 123
G(IB) = 1.0
IF(BNONE) GO TO 121
G(IB+NCA) = 0.0
IF(BONE) GO TO 121
G(IB+NCA2) = 0.0
121 IF(STWO) GO TO 122
IB = IB +1
G(IB) = XYD(J+1)
IF(BNONE) GO TO 122
G(IB+NCA) = 1.0
IF(BONE) GO TO 122
G(IB+NCA2) = 0.0
122 IF(SPEC) GO TO 128
IB = IB +1
G(IB) =-XYD(J)
IF(BNONE) GO TO 128
G(IB+NCA) = 0.0
IF(BONE) GO TO 128
G(IB+NCA2) = 1.0
GO TO 128
123 G(IB) = XYD(J+1)
IF(BNONE) GO TO 128
G(IB+NCA) = 1.0
IF(BONE) GO TO 128
G(IB+NCA2) = 0.0
128 IB = IB + KD*NCA
130 CONTINUE
IF(.NOT.IKT) GO TO 400
IA = IB
NC = NCB
C
C A MATRIX
C
200 NII= 2*NI
K = IA
C
C ZERO A
C
II = K+1
IK = II + NCA*NCA
DO 210 I = II,IK
210 G(I) = 0.0
II = 0
DO 240 I = 1,NII,2
DO 230 J = I,NII,2
K = K+1
YP =(XYI(I+1) + XYI(J+1))
AYP = ABS(YP) * EY
AYPD = AYP*DTOR2
YM = XYI(I+1) - XYI(J+1)
AYM = ABS(YM)
AYMD = AYM*DTOR2
G(K) = AYM**3/12.0 - XYI(I)*XYI(J)*AYMD
* + AYP**3/12.0 - XYI(I)*XYI(J)*AYPD
IF(I.EQ.J) G(K) = G(K) + DZ
IF(BOTH) GO TO 230
IF(OXR) GO TO 212
G(K+NCA) = AYM*YM/4.0 + AYP*YP/4.0
IF(OYR) GO TO 214
G(K+NCA2) = XYI(I)*AYMD + XYI(I)*AYPD
K = K+1
G(K) = -AYM*YM/4.0 + AYP*YP/4.0
G(K+NCA) = -AYM/2.0 + AYP/2.0
IF(I.EQ.J) G(K+NCA) = G(K+NCA) + DTX
G(K+NCA2) = 0.0
K = K+1
G(K) = XYI(J)*AYMD + XYI(J)*AYPD
G(K+NCA) = 0.0
G(K+NCA2) = -AYMD - AYPD
IF(I.EQ.J) G(K+NCA2) = G(K+NCA2) + DTY
GO TO 230
212 G(K+NCA) = XYI(I)*AYMD + XYI(I)*AYPD
K = K+1
G(K) = XYI(J)*AYMD + XYI(J)*AYPD
G(K+NCA) = -AYMD - AYPD
IF(I.EQ.J) G(K+NCA) = G(K+NCA) + DTY
GO TO 230
214 K = K+1
G(K) = -AYM*YM/4.0 + AYP*YP/4.0
G(K+NCA) = -AYM/2.0 + AYP/2.0
IF(I.EQ.J) G(K+NCA) = G(K+NCA) + DTX
230 CONTINUE
K = K+1
IF(SONE) GO TO 234
G(K) = 1.0
IF(BOTH) GO TO 231
G(K+NCA) = 0.0
IF(NETHR) GO TO 231
G(K+NCA2) = 0.0
231 IF(STWO) GO TO 232
K = K+1
G(K) = XYI(I+1)
IF(BOTH) GO TO 232
IF(OXR) G(K+NCA) = 0.0
IF(OYR) G(K+NCA) = 1.0
IF(NETHR) GO TO 232
G(K+NCA) = 1.0
G(K+NCA2) = 0.0
232 IF(SPEC) GO TO 238
K = K+1
G(K) = -XYI(I)
IF(BOTH) GO TO 238
IF(OXR) G( K+NCA) = 1.0
IF(OYR) G( K+NCA) = 0.0
IF(NETHR) GO TO 238
G( K+NCA) = 0.0
G( K+NCA2) = 1.0
GO TO 238
234 G(K) = XYI(I+1)
IF(BOTH) GO TO 238
IF(OXR) G( K+NCA) = 0.0
IF(OYR) G( K+NCA) = 1.0
IF(NETHR) GO TO 238
G( K+NCA) = 1.0
G( K+NCA2) = 0.0
238 II = II+1
K = K + SIZE*II + (SIZE-1)*NCA
240 CONTINUE
C
C LOWER TRIANGLE IF A STORED TRANSPOSE INTO UPPER TRIANGLE
C
K = IA
DO 260 I = 1,NCA
DO 250 J = I,NCA
K = K+1
KK = K + (NCA-1)*(J-I)
G(KK) = G(K)
250 CONTINUE
K = K+I
260 CONTINUE
C
C CALL INVERSE A-1 C OR A-1 B
C
C REPLACE CALLS TO INVAER WITH CALLS TO INVERS.
C NO NEED TO COMPUTE DETERMINANT SINCE IT IS NOT USED SUBSEQUENTLY.
ISNG = -1
CALL INVERS(NCA,G(IA+1),NCA,G(MP),NC,DET,ISNG,G(IS))
IF(ISNG.EQ.2) GO TO 1000
C
C ADJUST INDEXES TO A AND A-1 RESULT
C
IB = IA
ICB= IB+1
IF(.NOT.IKT) GO TO 110
IC = IA
ICC = IC +1
GO TO 10
300 CALL GMMATS(G(MP),NCB,NCA,0,G(ICC),NCC,NCA,1,G(IG))
GO TO 1000
400 CALL GMMATS(G(MP),NCC,NCA,0,G(ICB),NCB,NCA,1,G(IG))
1000 RETURN
END
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