OpenBLAS/reference/srotmgf.f

      SUBROUTINE SROTMGF (SD1,SD2,SX1,SY1,SPARAM)
C
C     CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS
C     THE SECOND COMPONENT OF THE 2-VECTOR  (SQRT(SD1)*SX1,SQRT(SD2)*
C     SY2)**T.
C     WITH SPARAM(1)=SFLAG, H HAS ONE OF THE FOLLOWING FORMS..
C
C     SFLAG=-1.E0     SFLAG=0.E0        SFLAG=1.E0     SFLAG=-2.E0
C
C       (SH11  SH12)    (1.E0  SH12)    (SH11  1.E0)    (1.E0  0.E0)
C     H=(          )    (          )    (          )    (          )
C       (SH21  SH22),   (SH21  1.E0),   (-1.E0 SH22),   (0.E0  1.E0).
C     LOCATIONS 2-4 OF SPARAM CONTAIN SH11,SH21,SH12, AND SH22
C     RESPECTIVELY. (VALUES OF 1.E0, -1.E0, OR 0.E0 IMPLIED BY THE
C     VALUE OF SPARAM(1) ARE NOT STORED IN SPARAM.)
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 SD1 AND SD2.  ALL ACTUAL SCALING OF DATA IS DONE USING GAM.
C
      DIMENSION SPARAM(5)
C
      DATA ZERO,ONE,TWO /0.E0,1.E0,2.E0/
      DATA GAM,GAMSQ,RGAMSQ/4096.E0,1.67772E7,5.96046E-8/
      IF(.NOT. SD1 .LT. ZERO) GO TO 10
C       GO ZERO-H-D-AND-SX1..
          GO TO 60
   10 CONTINUE
C     CASE-SD1-NONNEGATIVE
      SP2=SD2*SY1
      IF(.NOT. SP2 .EQ. ZERO) GO TO 20
          SFLAG=-TWO
          GO TO 260
C     REGULAR-CASE..
   20 CONTINUE
      SP1=SD1*SX1
      SQ2=SP2*SY1
      SQ1=SP1*SX1
C
      IF(.NOT. ABS(SQ1) .GT. ABS(SQ2)) GO TO 40
          SH21=-SY1/SX1
          SH12=SP2/SP1
C
          SU=ONE-SH12*SH21
C
          IF(.NOT. SU .LE. ZERO) GO TO 30
C         GO ZERO-H-D-AND-SX1..
               GO TO 60
   30     CONTINUE
               SFLAG=ZERO
               SD1=SD1/SU
               SD2=SD2/SU
               SX1=SX1*SU
C         GO SCALE-CHECK..
               GO TO 100
   40 CONTINUE
          IF(.NOT. SQ2 .LT. ZERO) GO TO 50
C         GO ZERO-H-D-AND-SX1..
               GO TO 60
   50     CONTINUE
               SFLAG=ONE
               SH11=SP1/SP2
               SH22=SX1/SY1
               SU=ONE+SH11*SH22
               STEMP=SD2/SU
               SD2=SD1/SU
               SD1=STEMP
               SX1=SY1*SU
C         GO SCALE-CHECK
               GO TO 100
C     PROCEDURE..ZERO-H-D-AND-SX1..
   60 CONTINUE
          SFLAG=-ONE
          SH11=ZERO
          SH12=ZERO
          SH21=ZERO
          SH22=ZERO
C
          SD1=ZERO
          SD2=ZERO
          SX1=ZERO
C         RETURN..
          GO TO 220
C     PROCEDURE..FIX-H..
   70 CONTINUE
      IF(.NOT. SFLAG .GE. ZERO) GO TO 90
C
          IF(.NOT. SFLAG .EQ. ZERO) GO TO 80
          SH11=ONE
          SH22=ONE
          SFLAG=-ONE
          GO TO 90
   80     CONTINUE
          SH21=-ONE
          SH12=ONE
          SFLAG=-ONE
   90 CONTINUE
      GO TO IGO,(120,150,180,210)
C     PROCEDURE..SCALE-CHECK
  100 CONTINUE
  110     CONTINUE
          IF(.NOT. SD1 .LE. RGAMSQ) GO TO 130
               IF(SD1 .EQ. ZERO) GO TO 160
               ASSIGN 120 TO IGO
C              FIX-H..
               GO TO 70
  120          CONTINUE
               SD1=SD1*GAM**2
               SX1=SX1/GAM
               SH11=SH11/GAM
               SH12=SH12/GAM
          GO TO 110
  130 CONTINUE
  140     CONTINUE
          IF(.NOT. SD1 .GE. GAMSQ) GO TO 160
               ASSIGN 150 TO IGO
C              FIX-H..
               GO TO 70
  150          CONTINUE
               SD1=SD1/GAM**2
               SX1=SX1*GAM
               SH11=SH11*GAM
               SH12=SH12*GAM
          GO TO 140
  160 CONTINUE
  170     CONTINUE
          IF(.NOT. ABS(SD2) .LE. RGAMSQ) GO TO 190
               IF(SD2 .EQ. ZERO) GO TO 220
               ASSIGN 180 TO IGO
C              FIX-H..
               GO TO 70
  180          CONTINUE
               SD2=SD2*GAM**2
               SH21=SH21/GAM
               SH22=SH22/GAM
          GO TO 170
  190 CONTINUE
  200     CONTINUE
          IF(.NOT. ABS(SD2) .GE. GAMSQ) GO TO 220
               ASSIGN 210 TO IGO
C              FIX-H..
               GO TO 70
  210          CONTINUE
               SD2=SD2/GAM**2
               SH21=SH21*GAM
               SH22=SH22*GAM
          GO TO 200
  220 CONTINUE
          IF(SFLAG)250,230,240
  230     CONTINUE
               SPARAM(3)=SH21
               SPARAM(4)=SH12
               GO TO 260
  240     CONTINUE
               SPARAM(2)=SH11
               SPARAM(5)=SH22
               GO TO 260
  250     CONTINUE
               SPARAM(2)=SH11
               SPARAM(3)=SH21
               SPARAM(4)=SH12
               SPARAM(5)=SH22
  260 CONTINUE
          SPARAM(1)=SFLAG
          RETURN
      END