SUBROUTINE DROTMG (DD1,DD2,DX1,DY1,DPARAM) C C CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS C THE SECOND COMPONENT OF THE 2-VECTOR (DSQRT(DD1)*DX1,DSQRT(DD2)* C DY2)**T. C WITH DPARAM(1)=DFLAG, H HAS ONE OF THE FOLLOWING FORMS.. C C DFLAG=-1.D0 DFLAG=0.D0 DFLAG=1.D0 DFLAG=-2.D0 C C (DH11 DH12) (1.D0 DH12) (DH11 1.D0) (1.D0 0.D0) C H=( ) ( ) ( ) ( ) C (DH21 DH22), (DH21 1.D0), (-1.D0 DH22), (0.D0 1.D0). C LOCATIONS 2-4 OF DPARAM CONTAIN DH11, DH21, DH12, AND DH22 C RESPECTIVELY. (VALUES OF 1.D0, -1.D0, OR 0.D0 IMPLIED BY THE C VALUE OF DPARAM(1) ARE NOT STORED IN DPARAM.) C C THE VALUES OF GAMSQ AND RGAMSQ SET IN THE DATA STATEMENT MAY BE C INEXACT. THIS IS OK AS THEY ARE ONLY USED FOR TESTING THE SIZE C OF DD1 AND DD2. ALL ACTUAL SCALING OF DATA IS DONE USING GAM. C DOUBLE PRECISION GAM,ONE,RGAMSQ,DD2,DH11,DH21,DPARAM,DP2, 1 DQ2,DU,DY1,ZERO,GAMSQ,DD1,DFLAG,DH12,DH22,DP1,DQ1, 2 DTEMP,DX1,TWO DIMENSION DPARAM(5) C DATA ZERO,ONE,TWO /0.D0,1.D0,2.D0/ DATA GAM,GAMSQ,RGAMSQ/4096.D0,16777216.D0,5.9604645D-8/ IF(.NOT. DD1 .LT. ZERO) GO TO 10 C GO ZERO-H-D-AND-DX1.. GO TO 60 10 CONTINUE C CASE-DD1-NONNEGATIVE DP2=DD2*DY1 IF(.NOT. DP2 .EQ. ZERO) GO TO 20 DFLAG=-TWO GO TO 260 C REGULAR-CASE.. 20 CONTINUE DP1=DD1*DX1 DQ2=DP2*DY1 DQ1=DP1*DX1 C IF(.NOT. DABS(DQ1) .GT. DABS(DQ2)) GO TO 40 DH21=-DY1/DX1 DH12=DP2/DP1 C DU=ONE-DH12*DH21 C IF(.NOT. DU .LE. ZERO) GO TO 30 C GO ZERO-H-D-AND-DX1.. GO TO 60 30 CONTINUE DFLAG=ZERO DD1=DD1/DU DD2=DD2/DU DX1=DX1*DU C GO SCALE-CHECK.. GO TO 100 40 CONTINUE IF(.NOT. DQ2 .LT. ZERO) GO TO 50 C GO ZERO-H-D-AND-DX1.. GO TO 60 50 CONTINUE DFLAG=ONE DH11=DP1/DP2 DH22=DX1/DY1 DU=ONE+DH11*DH22 DTEMP=DD2/DU DD2=DD1/DU DD1=DTEMP DX1=DY1*DU C GO SCALE-CHECK GO TO 100 C PROCEDURE..ZERO-H-D-AND-DX1.. 60 CONTINUE DFLAG=-ONE DH11=ZERO DH12=ZERO DH21=ZERO DH22=ZERO C DD1=ZERO DD2=ZERO DX1=ZERO C RETURN.. GO TO 220 C PROCEDURE..FIX-H.. 70 CONTINUE IF(.NOT. DFLAG .GE. ZERO) GO TO 90 C IF(.NOT. DFLAG .EQ. ZERO) GO TO 80 DH11=ONE DH22=ONE DFLAG=-ONE GO TO 90 80 CONTINUE DH21=-ONE DH12=ONE DFLAG=-ONE 90 CONTINUE GO TO IGO,(120,150,180,210) C PROCEDURE..SCALE-CHECK 100 CONTINUE 110 CONTINUE IF(.NOT. DD1 .LE. RGAMSQ) GO TO 130 IF(DD1 .EQ. ZERO) GO TO 160 ASSIGN 120 TO IGO C FIX-H.. GO TO 70 120 CONTINUE DD1=DD1*GAM**2 DX1=DX1/GAM DH11=DH11/GAM DH12=DH12/GAM GO TO 110 130 CONTINUE 140 CONTINUE IF(.NOT. DD1 .GE. GAMSQ) GO TO 160 ASSIGN 150 TO IGO C FIX-H.. GO TO 70 150 CONTINUE DD1=DD1/GAM**2 DX1=DX1*GAM DH11=DH11*GAM DH12=DH12*GAM GO TO 140 160 CONTINUE 170 CONTINUE IF(.NOT. DABS(DD2) .LE. RGAMSQ) GO TO 190 IF(DD2 .EQ. ZERO) GO TO 220 ASSIGN 180 TO IGO C FIX-H.. GO TO 70 180 CONTINUE DD2=DD2*GAM**2 DH21=DH21/GAM DH22=DH22/GAM GO TO 170 190 CONTINUE 200 CONTINUE IF(.NOT. DABS(DD2) .GE. GAMSQ) GO TO 220 ASSIGN 210 TO IGO C FIX-H.. GO TO 70 210 CONTINUE DD2=DD2/GAM**2 DH21=DH21*GAM DH22=DH22*GAM GO TO 200 220 CONTINUE IF(DFLAG)250,230,240 230 CONTINUE DPARAM(3)=DH21 DPARAM(4)=DH12 GO TO 260 240 CONTINUE DPARAM(2)=DH11 DPARAM(5)=DH22 GO TO 260 250 CONTINUE DPARAM(2)=DH11 DPARAM(3)=DH21 DPARAM(4)=DH12 DPARAM(5)=DH22 260 CONTINUE DPARAM(1)=DFLAG RETURN END