* * $Id$ * * $Log$ * Revision 1.1.1.1 1996/04/01 15:02:33 mclareni * Mathlib gen * * #include "gen/pilot.h" SUBROUTINE CINVIT(NM,N,AR,AI,WR,WI,SELECT,MM,M,ZR,ZI, X IERR,RM1,RM2,RV1,RV2) INTEGER I,J,K,M,N,S,II,MM,MP,NM,UK,IP1,ITS,KM1,IERR REAL AR(NM,N),AI(NM,N),WR(N),WI(N),ZR(NM,MM),ZI(NM,MM), X RM1(N,N),RM2(N,N),RV1(N),RV2(N) REAL X,Y,EPS3,NORM,NORMV,GROWTO,ILAMBD,MACHEP,RLAMBD,UKROOT LOGICAL SELECT(N) COMPLEX Z3 REAL T3(2) EQUIVALENCE (Z3,T3(1)) #if defined(CERNLIB_CDC) MACHEP=2.**(-47) #endif #if !defined(CERNLIB_CDC) MACHEP=2.**(-23) #endif IERR = 0 UK = 0 S = 1 DO 980 K = 1, N IF (.NOT. SELECT(K)) GO TO 980 IF (S .GT. MM) GO TO 1000 IF (UK .GE. K) GO TO 200 DO 120 UK = K, N IF (UK .EQ. N) GO TO 140 IF (AR(UK+1,UK) .EQ. 0.0 .AND. AI(UK+1,UK) .EQ. 0.0) X GO TO 140 120 CONTINUE 140 NORM = 0.0 MP = 1 DO 180 I = 1, UK X = 0.0 DO 160 J = MP, UK 160 X = X + ABS(CMPLX(AR(I,J),AI(I,J))) IF (X .GT. NORM) NORM = X MP = I 180 CONTINUE IF (NORM .EQ. 0.0) NORM = 1.0 EPS3 = MACHEP * NORM UKROOT = SQRT(REAL(UK)) GROWTO = 1.0E-1 / UKROOT 200 RLAMBD = WR(K) ILAMBD = WI(K) IF (K .EQ. 1) GO TO 280 KM1 = K - 1 GO TO 240 220 RLAMBD = RLAMBD + EPS3 240 DO 260 II = 1, KM1 I = K - II IF (SELECT(I) .AND. ABS(WR(I)-RLAMBD) .LT. EPS3 .AND. X ABS(WI(I)-ILAMBD) .LT. EPS3) GO TO 220 260 CONTINUE WR(K) = RLAMBD 280 MP = 1 DO 320 I = 1, UK DO 300 J = MP, UK RM1(I,J) = AR(I,J) RM2(I,J) = AI(I,J) 300 CONTINUE RM1(I,I) = RM1(I,I) - RLAMBD RM2(I,I) = RM2(I,I) - ILAMBD MP = I RV1(I) = EPS3 320 CONTINUE IF (UK .EQ. 1) GO TO 420 DO 400 I = 2, UK MP = I - 1 IF (ABS(CMPLX(RM1(I,MP),RM2(I,MP))) .LE. X ABS(CMPLX(RM1(MP,MP),RM2(MP,MP)))) GO TO 360 DO 340 J = MP, UK Y = RM1(I,J) RM1(I,J) = RM1(MP,J) RM1(MP,J) = Y Y = RM2(I,J) RM2(I,J) = RM2(MP,J) RM2(MP,J) = Y 340 CONTINUE 360 IF (RM1(MP,MP) .EQ. 0.0 .AND. RM2(MP,MP) .EQ. 0.0) X RM1(MP,MP) = EPS3 Z3 = CMPLX(RM1(I,MP),RM2(I,MP)) / X CMPLX(RM1(MP,MP),RM2(MP,MP)) X = T3(1) Y = T3(2) IF (X .EQ. 0.0 .AND. Y .EQ. 0.0) GO TO 400 DO 380 J = I, UK RM1(I,J) = RM1(I,J) - X * RM1(MP,J) + Y * RM2(MP,J) RM2(I,J) = RM2(I,J) - X * RM2(MP,J) - Y * RM1(MP,J) 380 CONTINUE 400 CONTINUE 420 IF (RM1(UK,UK) .EQ. 0.0 .AND. RM2(UK,UK) .EQ. 0.0) X RM1(UK,UK) = EPS3 ITS = 0 660 DO 720 II = 1, UK I = UK + 1 - II X = RV1(I) Y = 0.0 IF (I .EQ. UK) GO TO 700 IP1 = I + 1 DO 680 J = IP1, UK X = X - RM1(I,J) * RV1(J) + RM2(I,J) * RV2(J) Y = Y - RM1(I,J) * RV2(J) - RM2(I,J) * RV1(J) 680 CONTINUE 700 Z3 = CMPLX(X,Y) / CMPLX(RM1(I,I),RM2(I,I)) RV1(I) = T3(1) RV2(I) = T3(2) 720 CONTINUE ITS = ITS + 1 NORM = 0.0 NORMV = 0.0 DO 780 I = 1, UK X = ABS(CMPLX(RV1(I),RV2(I))) IF (NORMV .GE. X) GO TO 760 NORMV = X J = I 760 NORM = NORM + X 780 CONTINUE IF (NORM .LT. GROWTO) GO TO 840 X = RV1(J) Y = RV2(J) DO 820 I = 1, UK Z3 = CMPLX(RV1(I),RV2(I)) / CMPLX(X,Y) ZR(I,S) = T3(1) ZI(I,S) = T3(2) 820 CONTINUE IF (UK .EQ. N) GO TO 940 J = UK + 1 GO TO 900 840 IF (ITS .GE. UK) GO TO 880 X = UKROOT Y = EPS3 / (X + 1.0) RV1(1) = EPS3 DO 860 I = 2, UK 860 RV1(I) = Y J = UK - ITS + 1 RV1(J) = RV1(J) - EPS3 * X GO TO 660 880 J = 1 IERR = -K 900 DO 920 I = J, N ZR(I,S) = 0.0 ZI(I,S) = 0.0 920 CONTINUE 940 S = S + 1 980 CONTINUE GO TO 1001 1000 IF (IERR .NE. 0) IERR = IERR - N IF (IERR .EQ. 0) IERR = -(2 * N + 1) 1001 M = S - 1 RETURN END