| 1 | SUBROUTINE SROTMG(SD1,SD2,SX1,SY1,SPARAM)
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| 2 | * .. Scalar Arguments ..
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| 3 | REAL SD1,SD2,SX1,SY1
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| 4 | * ..
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| 5 | * .. Array Arguments ..
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| 6 | REAL SPARAM(5)
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| 7 | * ..
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| 8 | *
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| 9 | * Purpose
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| 10 | * =======
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| 11 | *
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| 12 | * CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS
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| 13 | * THE SECOND COMPONENT OF THE 2-VECTOR (SQRT(SD1)*SX1,SQRT(SD2)*
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| 14 | * SY2)**T.
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| 15 | * WITH SPARAM(1)=SFLAG, H HAS ONE OF THE FOLLOWING FORMS..
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| 16 | *
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| 17 | * SFLAG=-1.E0 SFLAG=0.E0 SFLAG=1.E0 SFLAG=-2.E0
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| 18 | *
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| 19 | * (SH11 SH12) (1.E0 SH12) (SH11 1.E0) (1.E0 0.E0)
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| 20 | * H=( ) ( ) ( ) ( )
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| 21 | * (SH21 SH22), (SH21 1.E0), (-1.E0 SH22), (0.E0 1.E0).
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| 22 | * LOCATIONS 2-4 OF SPARAM CONTAIN SH11,SH21,SH12, AND SH22
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| 23 | * RESPECTIVELY. (VALUES OF 1.E0, -1.E0, OR 0.E0 IMPLIED BY THE
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| 24 | * VALUE OF SPARAM(1) ARE NOT STORED IN SPARAM.)
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| 25 | *
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| 26 | * THE VALUES OF GAMSQ AND RGAMSQ SET IN THE DATA STATEMENT MAY BE
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| 27 | * INEXACT. THIS IS OK AS THEY ARE ONLY USED FOR TESTING THE SIZE
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| 28 | * OF SD1 AND SD2. ALL ACTUAL SCALING OF DATA IS DONE USING GAM.
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| 29 | *
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| 30 | *
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| 31 | * Arguments
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| 32 | * =========
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| 33 | *
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| 34 | *
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| 35 | * SD1 (input/output) REAL
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| 36 | *
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| 37 | * SD2 (input/output) REAL
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| 38 | *
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| 39 | * SX1 (input/output) REAL
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| 40 | *
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| 41 | * SY1 (input) REAL
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| 42 | *
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| 43 | *
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| 44 | * SPARAM (input/output) REAL array, dimension 5
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| 45 | * SPARAM(1)=SFLAG
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| 46 | * SPARAM(2)=SH11
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| 47 | * SPARAM(3)=SH21
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| 48 | * SPARAM(4)=SH12
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| 49 | * SPARAM(5)=SH22
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| 50 | *
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| 51 | * =====================================================================
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| 52 | *
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| 53 | * .. Local Scalars ..
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| 54 | REAL GAM,GAMSQ,ONE,RGAMSQ,SFLAG,SH11,SH12,SH21,SH22,SP1,SP2,SQ1,
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| 55 | + SQ2,STEMP,SU,TWO,ZERO
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| 56 | INTEGER IGO
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| 57 | * ..
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| 58 | * .. Intrinsic Functions ..
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| 59 | INTRINSIC ABS
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| 60 | * ..
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| 61 | * .. Data statements ..
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| 62 | *
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| 63 | DATA ZERO,ONE,TWO/0.E0,1.E0,2.E0/
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| 64 | DATA GAM,GAMSQ,RGAMSQ/4096.E0,1.67772E7,5.96046E-8/
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| 65 | * ..
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| 66 |
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| 67 | IF (.NOT.SD1.LT.ZERO) GO TO 10
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| 68 | * GO ZERO-H-D-AND-SX1..
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| 69 | GO TO 60
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| 70 | 10 CONTINUE
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| 71 | * CASE-SD1-NONNEGATIVE
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| 72 | SP2 = SD2*SY1
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| 73 | IF (.NOT.SP2.EQ.ZERO) GO TO 20
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| 74 | SFLAG = -TWO
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| 75 | GO TO 260
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| 76 | * REGULAR-CASE..
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| 77 | 20 CONTINUE
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| 78 | SP1 = SD1*SX1
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| 79 | SQ2 = SP2*SY1
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| 80 | SQ1 = SP1*SX1
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| 81 | *
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| 82 | IF (.NOT.ABS(SQ1).GT.ABS(SQ2)) GO TO 40
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| 83 | SH21 = -SY1/SX1
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| 84 | SH12 = SP2/SP1
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| 85 | *
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| 86 | SU = ONE - SH12*SH21
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| 87 | *
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| 88 | IF (.NOT.SU.LE.ZERO) GO TO 30
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| 89 | * GO ZERO-H-D-AND-SX1..
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| 90 | GO TO 60
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| 91 | 30 CONTINUE
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| 92 | SFLAG = ZERO
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| 93 | SD1 = SD1/SU
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| 94 | SD2 = SD2/SU
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| 95 | SX1 = SX1*SU
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| 96 | * GO SCALE-CHECK..
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| 97 | GO TO 100
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| 98 | 40 CONTINUE
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| 99 | IF (.NOT.SQ2.LT.ZERO) GO TO 50
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| 100 | * GO ZERO-H-D-AND-SX1..
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| 101 | GO TO 60
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| 102 | 50 CONTINUE
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| 103 | SFLAG = ONE
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| 104 | SH11 = SP1/SP2
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| 105 | SH22 = SX1/SY1
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| 106 | SU = ONE + SH11*SH22
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| 107 | STEMP = SD2/SU
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| 108 | SD2 = SD1/SU
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| 109 | SD1 = STEMP
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| 110 | SX1 = SY1*SU
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| 111 | * GO SCALE-CHECK
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| 112 | GO TO 100
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| 113 | * PROCEDURE..ZERO-H-D-AND-SX1..
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| 114 | 60 CONTINUE
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| 115 | SFLAG = -ONE
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| 116 | SH11 = ZERO
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| 117 | SH12 = ZERO
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| 118 | SH21 = ZERO
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| 119 | SH22 = ZERO
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| 120 | *
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| 121 | SD1 = ZERO
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| 122 | SD2 = ZERO
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| 123 | SX1 = ZERO
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| 124 | * RETURN..
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| 125 | GO TO 220
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| 126 | * PROCEDURE..FIX-H..
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| 127 | 70 CONTINUE
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| 128 | IF (.NOT.SFLAG.GE.ZERO) GO TO 90
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| 129 | *
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| 130 | IF (.NOT.SFLAG.EQ.ZERO) GO TO 80
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| 131 | SH11 = ONE
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| 132 | SH22 = ONE
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| 133 | SFLAG = -ONE
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| 134 | GO TO 90
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| 135 | 80 CONTINUE
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| 136 | SH21 = -ONE
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| 137 | SH12 = ONE
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| 138 | SFLAG = -ONE
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| 139 | 90 CONTINUE
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| 140 | GO TO IGO(120,150,180,210)
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| 141 | * PROCEDURE..SCALE-CHECK
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| 142 | 100 CONTINUE
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| 143 | 110 CONTINUE
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| 144 | IF (.NOT.SD1.LE.RGAMSQ) GO TO 130
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| 145 | IF (SD1.EQ.ZERO) GO TO 160
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| 146 | ASSIGN 120 TO IGO
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| 147 | * FIX-H..
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| 148 | GO TO 70
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| 149 | 120 CONTINUE
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| 150 | SD1 = SD1*GAM**2
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| 151 | SX1 = SX1/GAM
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| 152 | SH11 = SH11/GAM
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| 153 | SH12 = SH12/GAM
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| 154 | GO TO 110
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| 155 | 130 CONTINUE
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| 156 | 140 CONTINUE
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| 157 | IF (.NOT.SD1.GE.GAMSQ) GO TO 160
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| 158 | ASSIGN 150 TO IGO
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| 159 | * FIX-H..
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| 160 | GO TO 70
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| 161 | 150 CONTINUE
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| 162 | SD1 = SD1/GAM**2
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| 163 | SX1 = SX1*GAM
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| 164 | SH11 = SH11*GAM
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| 165 | SH12 = SH12*GAM
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| 166 | GO TO 140
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| 167 | 160 CONTINUE
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| 168 | 170 CONTINUE
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| 169 | IF (.NOT.ABS(SD2).LE.RGAMSQ) GO TO 190
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| 170 | IF (SD2.EQ.ZERO) GO TO 220
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| 171 | ASSIGN 180 TO IGO
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| 172 | * FIX-H..
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| 173 | GO TO 70
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| 174 | 180 CONTINUE
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| 175 | SD2 = SD2*GAM**2
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| 176 | SH21 = SH21/GAM
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| 177 | SH22 = SH22/GAM
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| 178 | GO TO 170
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| 179 | 190 CONTINUE
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| 180 | 200 CONTINUE
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| 181 | IF (.NOT.ABS(SD2).GE.GAMSQ) GO TO 220
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| 182 | ASSIGN 210 TO IGO
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| 183 | * FIX-H..
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| 184 | GO TO 70
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| 185 | 210 CONTINUE
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| 186 | SD2 = SD2/GAM**2
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| 187 | SH21 = SH21*GAM
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| 188 | SH22 = SH22*GAM
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| 189 | GO TO 200
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| 190 | 220 CONTINUE
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| 191 | IF (SFLAG) 250,230,240
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| 192 | 230 CONTINUE
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| 193 | SPARAM(3) = SH21
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| 194 | SPARAM(4) = SH12
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| 195 | GO TO 260
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| 196 | 240 CONTINUE
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| 197 | SPARAM(2) = SH11
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| 198 | SPARAM(5) = SH22
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| 199 | GO TO 260
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| 200 | 250 CONTINUE
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| 201 | SPARAM(2) = SH11
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| 202 | SPARAM(3) = SH21
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| 203 | SPARAM(4) = SH12
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| 204 | SPARAM(5) = SH22
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| 205 | 260 CONTINUE
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| 206 | SPARAM(1) = SFLAG
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| 207 | RETURN
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| 208 | END
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