* * $Id$ * * $Log$ * Revision 1.1.1.1 1996/04/01 15:02:35 mclareni * Mathlib gen * * #include "gen/pilot.h" SUBROUTINE HQR(NM,N,LOW,IGH,H,WR,WI,IERR) INTEGER I,J,K,L,M,N,EN,LL,MM,NA,NM,IGH,ITS,LOW,MP2,ENM2,IERR REAL H(NM,N),WR(N),WI(N) REAL P,Q,R,S,T,W,X,Y,ZZ,MACHEP LOGICAL NOTLAS #if defined(CERNLIB_CDC) MACHEP=2.**(-47) #endif #if !defined(CERNLIB_CDC) MACHEP=2.**(-23) #endif IERR = 0 DO 50 I = 1, N IF (I .GE. LOW .AND. I .LE. IGH) GO TO 50 WR(I) = H(I,I) WI(I) = 0.0 50 CONTINUE EN = IGH T = 0.0 60 IF (EN .LT. LOW) GO TO 1001 ITS = 0 NA = EN - 1 ENM2 = NA - 1 70 DO 80 LL = LOW, EN L = EN + LOW - LL IF (L .EQ. LOW) GO TO 100 IF (ABS(H(L,L-1)) .LE. MACHEP * (ABS(H(L-1,L-1)) X + ABS(H(L,L)))) GO TO 100 80 CONTINUE 100 X = H(EN,EN) IF (L .EQ. EN) GO TO 270 Y = H(NA,NA) W = H(EN,NA) * H(NA,EN) IF (L .EQ. NA) GO TO 280 IF (ITS .EQ. 30) GO TO 1000 IF (ITS .NE. 10 .AND. ITS .NE. 20) GO TO 130 T = T + X DO 120 I = LOW, EN 120 H(I,I) = H(I,I) - X S = ABS(H(EN,NA)) + ABS(H(NA,ENM2)) X = 0.75 * S Y = X W = -0.4375 * S * S 130 ITS = ITS + 1 DO 140 MM = L, ENM2 M = ENM2 + L - MM ZZ = H(M,M) R = X - ZZ S = Y - ZZ P = (R * S - W) / H(M+1,M) + H(M,M+1) Q = H(M+1,M+1) - ZZ - R - S R = H(M+2,M+1) S = ABS(P) + ABS(Q) + ABS(R) P = P / S Q = Q / S R = R / S IF (M .EQ. L) GO TO 150 IF (ABS(H(M,M-1)) * (ABS(Q) + ABS(R)) .LE. MACHEP * ABS(P) X * (ABS(H(M-1,M-1)) + ABS(ZZ) + ABS(H(M+1,M+1)))) GO TO 150 140 CONTINUE 150 MP2 = M + 2 DO 160 I = MP2, EN H(I,I-2) = 0.0 IF (I .EQ. MP2) GO TO 160 H(I,I-3) = 0.0 160 CONTINUE DO 260 K = M, NA NOTLAS = K .NE. NA IF (K .EQ. M) GO TO 170 P = H(K,K-1) Q = H(K+1,K-1) R = 0.0 IF (NOTLAS) R = H(K+2,K-1) X = ABS(P) + ABS(Q) + ABS(R) IF (X .EQ. 0.0) GO TO 260 P = P / X Q = Q / X R = R / X 170 S = SIGN(SQRT(P*P+Q*Q+R*R),P) IF (K .EQ. M) GO TO 180 H(K,K-1) = -S * X GO TO 190 180 IF (L .NE. M) H(K,K-1) = -H(K,K-1) 190 P = P + S X = P / S Y = Q / S ZZ = R / S Q = Q / P R = R / P DO 210 J = K, EN P = H(K,J) + Q * H(K+1,J) IF (.NOT. NOTLAS) GO TO 200 P = P + R * H(K+2,J) H(K+2,J) = H(K+2,J) - P * ZZ 200 H(K+1,J) = H(K+1,J) - P * Y H(K,J) = H(K,J) - P * X 210 CONTINUE J = MIN(EN,K+3) DO 230 I = L, J P = X * H(I,K) + Y * H(I,K+1) IF (.NOT. NOTLAS) GO TO 220 P = P + ZZ * H(I,K+2) H(I,K+2) = H(I,K+2) - P * R 220 H(I,K+1) = H(I,K+1) - P * Q H(I,K) = H(I,K) - P 230 CONTINUE 260 CONTINUE GO TO 70 270 WR(EN) = X + T WI(EN) = 0.0 EN = NA GO TO 60 280 P = (Y - X) / 2.0 Q = P * P + W ZZ = SQRT(ABS(Q)) X = X + T IF (Q .LT. 0.0) GO TO 320 ZZ = P + SIGN(ZZ,P) WR(NA) = X + ZZ WR(EN) = WR(NA) IF (ZZ .NE. 0.0) WR(EN) = X - W / ZZ WI(NA) = 0.0 WI(EN) = 0.0 GO TO 330 320 WR(NA) = X + P WR(EN) = X + P WI(NA) = ZZ WI(EN) = -ZZ 330 EN = ENM2 GO TO 60 1000 IERR = EN 1001 RETURN END