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SUBROUTINE DROTMGF (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
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