* * $Id: comlr.F,v 1.1.1.1 1996/04/01 15:02:33 mclareni Exp $ * * $Log: comlr.F,v $ * Revision 1.1.1.1 1996/04/01 15:02:33 mclareni * Mathlib gen * * #include "gen/pilot.h" SUBROUTINE COMLR(NM,N,LOW,IGH,HR,HI,WR,WI,IERR) INTEGER I,J,L,M,N,EN,LL,MM,NM,IGH,IM1,ITS,LOW,MP1,ENM1,IERR REAL HR(NM,N),HI(NM,N),WR(N),WI(N) REAL SI,SR,TI,TR,XI,XR,YI,YR,ZZI,ZZR,MACHEP COMPLEX X,Y,Z REAL T1(2),T2(2),T3(2) EQUIVALENCE (X,T1(1),XR),(T1(2),XI),(Y,T2(1),YR),(T2(2),YI), X (Z,T3(1),ZZR),(T3(2),ZZI) #if defined(CERNLIB_CDC) MACHEP=2.**(-47) #endif #if !defined(CERNLIB_CDC) MACHEP=2.**(-23) #endif IERR = 0 C*UL 180 DO 200 I = 1, N DO 200 I = 1, N IF (I .GE. LOW .AND. I .LE. IGH) GO TO 200 WR(I) = HR(I,I) WI(I) = HI(I,I) 200 CONTINUE EN = IGH TR = 0.0 TI = 0.0 220 IF (EN .LT. LOW) GO TO 1001 ITS = 0 ENM1 = EN - 1 240 DO 260 LL = LOW, EN L = EN + LOW - LL IF (L .EQ. LOW) GO TO 300 IF (ABS(HR(L,L-1)) + ABS(HI(L,L-1)) .LE. X MACHEP * (ABS(HR(L-1,L-1)) + ABS(HI(L-1,L-1)) X + ABS(HR(L,L)) +ABS(HI(L,L)))) GO TO 300 260 CONTINUE 300 IF (L .EQ. EN) GO TO 660 IF (ITS .EQ. 30) GO TO 1000 IF (ITS .EQ. 10 .OR. ITS .EQ. 20) GO TO 320 SR = HR(EN,EN) SI = HI(EN,EN) XR = HR(ENM1,EN) * HR(EN,ENM1) - HI(ENM1,EN) * HI(EN,ENM1) XI = HR(ENM1,EN) * HI(EN,ENM1) + HI(ENM1,EN) * HR(EN,ENM1) IF (XR .EQ. 0.0 .AND. XI .EQ. 0.0) GO TO 340 YR = (HR(ENM1,ENM1) - SR) / 2.0 YI = (HI(ENM1,ENM1) - SI) / 2.0 Z = SQRT(CMPLX(YR**2-YI**2+XR,2.0*YR*YI+XI)) IF (YR * ZZR + YI * ZZI .LT. 0.0) Z = -Z X = X / (Y + Z) SR = SR - XR SI = SI - XI GO TO 340 320 SR = ABS(HR(EN,ENM1)) + ABS(HR(ENM1,EN-2)) SI = ABS(HI(EN,ENM1)) + ABS(HI(ENM1,EN-2)) 340 DO 360 I = LOW, EN HR(I,I) = HR(I,I) - SR HI(I,I) = HI(I,I) - SI 360 CONTINUE TR = TR + SR TI = TI + SI ITS = ITS + 1 XR = ABS(HR(ENM1,ENM1)) + ABS(HI(ENM1,ENM1)) YR = ABS(HR(EN,ENM1)) + ABS(HI(EN,ENM1)) ZZR = ABS(HR(EN,EN)) + ABS(HI(EN,EN)) DO 380 MM = L, ENM1 M = ENM1 + L - MM IF (M .EQ. L) GO TO 420 YI = YR YR = ABS(HR(M,M-1)) + ABS(HI(M,M-1)) XI = ZZR ZZR = XR XR = ABS(HR(M-1,M-1)) + ABS(HI(M-1,M-1)) IF (YR .LE. MACHEP * ZZR / YI * (ZZR + XR + XI)) GO TO 420 380 CONTINUE 420 MP1 = M + 1 DO 520 I = MP1, EN IM1 = I - 1 XR = HR(IM1,IM1) XI = HI(IM1,IM1) YR = HR(I,IM1) YI = HI(I,IM1) IF (ABS(XR) + ABS(XI) .GE. ABS(YR) + ABS(YI)) GO TO 460 DO 440 J = IM1, N ZZR = HR(IM1,J) HR(IM1,J) = HR(I,J) HR(I,J) = ZZR ZZI = HI(IM1,J) HI(IM1,J) = HI(I,J) HI(I,J) = ZZI 440 CONTINUE Z = X / Y WR(I) = 1.0 GO TO 480 460 Z = Y / X WR(I) = -1.0 480 HR(I,IM1) = ZZR HI(I,IM1) = ZZI DO 500 J = I, EN HR(I,J) = HR(I,J) - ZZR * HR(IM1,J) + ZZI * HI(IM1,J) HI(I,J) = HI(I,J) - ZZR * HI(IM1,J) - ZZI * HR(IM1,J) 500 CONTINUE 520 CONTINUE DO 640 J = MP1, EN XR = HR(J,J-1) XI = HI(J,J-1) HR(J,J-1) = 0.0 HI(J,J-1) = 0.0 IF (WR(J) .LE. 0.0) GO TO 580 DO 540 I = L, J ZZR = HR(I,J-1) HR(I,J-1) = HR(I,J) HR(I,J) = ZZR ZZI = HI(I,J-1) HI(I,J-1) = HI(I,J) HI(I,J) = ZZI 540 CONTINUE 580 DO 600 I = L, J HR(I,J-1) = HR(I,J-1) + XR * HR(I,J) - XI * HI(I,J) HI(I,J-1) = HI(I,J-1) + XR * HI(I,J) + XI * HR(I,J) 600 CONTINUE 640 CONTINUE GO TO 240 660 WR(EN) = HR(EN,EN) + TR WI(EN) = HI(EN,EN) + TI EN = ENM1 GO TO 220 1000 IERR = EN 1001 RETURN END