SUBROUTINESROTMGF(SD1,SD2,SX1,SY1,SPARAM)CCCONSTRUCTTHEMODIFIEDGIVENSTRANSFORMATIONMATRIXHWHICHZEROSCTHESECONDCOMPONENTOFTHE2-VECTOR(SQRT(SD1)*SX1,SQRT(SD2)*CSY2)**T.CWITHSPARAM(1)=SFLAG,HHASONEOFTHEFOLLOWINGFORMS..CCSFLAG=-1.E0SFLAG=0.E0SFLAG=1.E0SFLAG=-2.E0CC(SH11SH12)(1.E0SH12)(SH111.E0)(1.E00.E0)CH=()()()()C(SH21SH22),(SH211.E0),(-1.E0SH22),(0.E01.E0).CLOCATIONS2-4OFSPARAMCONTAINSH11,SH21,SH12,ANDSH22CRESPECTIVELY.(VALUESOF1.E0,-1.E0,OR0.E0IMPLIEDBYTHECVALUEOFSPARAM(1)ARENOTSTOREDINSPARAM.)CCTHEVALUESOFGAMSQANDRGAMSQSETINTHEDATASTATEMENTMAYBECINEXACT.THISISOKASTHEYAREONLYUSEDFORTESTINGTHESIZECOFSD1ANDSD2.ALLACTUALSCALINGOFDATAISDONEUSINGGAM.CDIMENSIONSPARAM(5)CDATAZERO,ONE,TWO/0.E0,1.E0,2.E0/DATAGAM,GAMSQ,RGAMSQ/4096.E0,1.67772E7,5.96046E-8/IF(.NOT.SD1.LT.ZERO)GO TO10CGOZERO-H-D-AND-SX1..GO TO6010CONTINUECCASE-SD1-NONNEGATIVESP2=SD2*SY1IF(.NOT.SP2.EQ.ZERO)GO TO20SFLAG=-TWOGO TO260CREGULAR-CASE..20CONTINUESP1=SD1*SX1SQ2=SP2*SY1SQ1=SP1*SX1CIF(.NOT.ABS(SQ1).GT.ABS(SQ2))GO TO40SH21=-SY1/SX1SH12=SP2/SP1CSU=ONE-SH12*SH21CIF(.NOT.SU.LE.ZERO)GO TO30CGOZERO-H-D-AND-SX1..GO TO6030CONTINUESFLAG=ZEROSD1=SD1/SUSD2=SD2/SUSX1=SX1*SUCGOSCALE-CHECK..GO TO10040CONTINUEIF(.NOT.SQ2.LT.ZERO)GO TO50CGOZERO-H-D-AND-SX1..GO TO6050CONTINUESFLAG=ONESH11=SP1/SP2SH22=SX1/SY1SU=ONE+SH11*SH22STEMP=SD2/SUSD2=SD1/SUSD1=STEMPSX1=SY1*SUCGOSCALE-CHECKGO TO100CPROCEDURE..ZERO-H-D-AND-SX1..60CONTINUESFLAG=-ONESH11=ZEROSH12=ZEROSH21=ZEROSH22=ZEROCSD1=ZEROSD2=ZEROSX1=ZEROCRETURN..GO TO220CPROCEDURE..FIX-H..70CONTINUEIF(.NOT.SFLAG.GE.ZERO)GO TO90CIF(.NOT.SFLAG.EQ.ZERO)GO TO80SH11=ONESH22=ONESFLAG=-ONEGO TO9080CONTINUESH21=-ONESH12=ONESFLAG=-ONE90CONTINUEGO TOIGO,(120,150,180,210)CPROCEDURE..SCALE-CHECK100CONTINUE110CONTINUEIF(.NOT.SD1.LE.RGAMSQ)GO TO130IF(SD1.EQ.ZERO)GO TO160ASSIGN120TOIGOCFIX-H..GO TO70120CONTINUESD1=SD1*GAM**2SX1=SX1/GAMSH11=SH11/GAMSH12=SH12/GAMGO TO110130CONTINUE140CONTINUEIF(.NOT.SD1.GE.GAMSQ)GO TO160ASSIGN150TOIGOCFIX-H..GO TO70150CONTINUESD1=SD1/GAM**2SX1=SX1*GAMSH11=SH11*GAMSH12=SH12*GAMGO TO140160CONTINUE170CONTINUEIF(.NOT.ABS(SD2).LE.RGAMSQ)GO TO190IF(SD2.EQ.ZERO)GO TO220ASSIGN180TOIGOCFIX-H..GO TO70180CONTINUESD2=SD2*GAM**2SH21=SH21/GAMSH22=SH22/GAMGO TO170190CONTINUE200CONTINUEIF(.NOT.ABS(SD2).GE.GAMSQ)GO TO220ASSIGN210TOIGOCFIX-H..GO TO70210CONTINUESD2=SD2/GAM**2SH21=SH21*GAMSH22=SH22*GAMGO TO200220CONTINUEIF(SFLAG)250,230,240230CONTINUESPARAM(3)=SH21SPARAM(4)=SH12GO TO260240CONTINUESPARAM(2)=SH11SPARAM(5)=SH22GO TO260250CONTINUESPARAM(2)=SH11SPARAM(3)=SH21SPARAM(4)=SH12SPARAM(5)=SH22260CONTINUESPARAM(1)=SFLAGRETURNEND
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