2016-07-07 08:47:26 +00:00
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# Copyright: Public domain.
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# Filename: POWERED_FLIGHT_SUBROUTINES.agc
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# Purpose: Part of the source code for Colossus 2A, AKA Comanche 055.
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# It is part of the source code for the Command Module's (CM)
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# Apollo Guidance Computer (AGC), for Apollo 11.
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# Assembler: yaYUL
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# Contact: Ron Burkey <info@sandroid.org>.
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# Website: www.ibiblio.org/apollo.
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2016-12-28 16:11:25 +00:00
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# Pages: 1365-1372
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2016-07-07 08:47:26 +00:00
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# Mod history: 2009-05-10 SN (Sergio Navarro). Started adapting
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# from the Colossus249/ file of the same
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# name, using Comanche055 page images.
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#
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# This source code has been transcribed or otherwise adapted from digitized
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# images of a hardcopy from the MIT Museum. The digitization was performed
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# by Paul Fjeld, and arranged for by Deborah Douglas of the Museum. Many
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# thanks to both. The images (with suitable reduction in storage size and
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# consequent reduction in image quality as well) are available online at
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# www.ibiblio.org/apollo. If for some reason you find that the images are
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# illegible, contact me at info@sandroid.org about getting access to the
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# (much) higher-quality images which Paul actually created.
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#
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# Notations on the hardcopy document read, in part:
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#
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# Assemble revision 055 of AGC program Comanche by NASA
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2016-12-28 16:11:25 +00:00
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# 2021113-051. 10:28 APR. 1, 1969
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2016-07-07 08:47:26 +00:00
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#
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# This AGC program shall also be referred to as
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# Colossus 2A
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# Page 1365
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BANK 14 # SAME FBANK AS THE FINDCDUD SUB-PROGRAM
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SETLOC POWFLITE
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BANK
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EBANK= DEXDEX
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COUNT* $$/POWFL
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2019-05-08 17:55:15 +00:00
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# CDUTRIG, CDUTRIG1, CDUTRIG2, AND CD*GR*GS ALL COMPUTE THE SINES AND
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# COSINES OF THREE 2'S COMPLEMENT ANGLES AND PLACE THE RESULT, DOUBLE
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# PRECISION, IN THE SAME ORDER AS THE INPUTS, AT SINCDU AND COSCDU. AN
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# ADDITIONAL OUTPUT IS THE 1'S COMPLEMENT ANGLES AT CDUSPOT. THESE
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# ROUTINES GO OUT OF THEIR WAY TO LEAVE THE MPAC AREA AS THEY FIND IT,
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# EXCEPT FOR THE GENERALLY UNIMPORTANT MPAC +2. THEY DIFFER ONLY IN
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# WHERE THEY GET THE ANGLES, AND IN METHOD OF CALLING.
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# CDUTRIG (AND CDUTRIG1, WHICH CAN BE CALLED IN BASIC) COMPUTE THE
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# SINES AND COSINES FROM THE CURRENT CONTENTS OF THE CDU REGISTERS.
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# THE CONTENTS OF CDUTEMP, ETC., ARE NOT TOUCHED SO THAT THEY MAY
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# CONTINUE TO FORM A CONSISTENT SET WITH THE LATEST PIPA READINGS.
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# CDUTRIG1 IS LIKE CDUTRIG EXCEPT THAT IT CAN BE CALLED IN BASIC.
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# CD*TR*GS FINDS CDU VALUES IN CDUSPOT RATHER THAN IN CDUTEMP. THIS
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# ALLOWS USERS TO MAKE TRANSFORMATIONS USING ARBITRARY ANGLES, OR REAL
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# ANGLES IN AN ORDER OTHER THAN X Y Z. A CALL TO THIS ROUTINE IS
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# NECESSARY IN PREPARATION FOR A CALL TO AX*SR*T IN EITHER OF ITS TWO
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# MODES (SMNB OR NBSM). SINCE AX*SR*T EXPECTS TO FIND THE SINES AND
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# COSINES IN THE ORDER Y Z X THE ANGLES MUST HAVE BEEN PLACED IN CDUSPOT
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# IN THIS ORDER. CD*TR*GS NEED NOT BE REPEATED WHEN AX*SR*T IS CALLED
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# MORE THAN ONCE, PROVIDED THE ANGLES HAVE NOT CHANGED. NOTE THAT SINCE
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# IT CLOBBERS BUF2 (IN THE SINE AND COSINE ROUTINES) CD*TR*GS CANNOT BE
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# CALLED USING BANKCALL. SORRY.
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# CD*TR*G IS LIKE CD*TR*GS EXCEPT THAT IT CAN BE CALLED IN
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# INTERPRETIVE.
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CDUTRIG EXIT
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TC CDUTRIGS
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TC INTPRET
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RVQ
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CD*TR*G EXIT
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TC CD*TR*GS
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TC INTPRET
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RVQ
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CDUTRIGS CA CDUX
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TS CDUSPOT +4
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CA CDUY
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TS CDUSPOT
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# Page 1366
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CA CDUZ
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TS CDUSPOT +2
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CD*TR*GS EXTEND
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QXCH TEM2
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CAF FOUR
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TR*GL**P MASK SIX # MAKE IT EVEN AND SMALLER
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TS TEM3
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INDEX TEM3
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CA CDUSPOT
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DXCH MPAC # STORING 2'S COMP ANGLE, LOADING MPAC
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DXCH VBUF +4 # STORING MPAC FOR LATER RESTORATION
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TC USPRCADR
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CADR CDULOGIC
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EXTEND
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DCA MPAC
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INDEX TEM3
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DXCH CDUSPOT # STORING 1'S COMPLEMENT ANGLE
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TC USPRCADR
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CADR COSINE
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DXCH MPAC
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INDEX TEM3
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DXCH COSCDU # STORING COSINE
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EXTEND
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INDEX TEM3
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DCA CDUSPOT # LOADING 1'S COMPLEMENT ANGLE
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TC USPRCADR
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CADR SINE +1 # SINE +1 EXPECTS ARGUMENT IN A AND L
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DXCH VBUF +4 # BRINGING UP PRIOR MPAC TO BE RESTORED
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DXCH MPAC
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INDEX TEM3
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DXCH SINCDU
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CCS TEM3
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TCF TR*GL**P
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TC TEM2
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# Page 1367
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# *******************************************************************************************************
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# QUICTRIG, INTENDED FOR GUIDANCE CYCLE USE WHERE TIME IS CRITICAL, IS A MUCH FASTER VERSION OF CD*TR*GS.
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# QUICTRIG COMPUTES AND STORES THE SINES AND COSINES OF THE 2'S COMPLEMENT ANGLES AT CDUSPOT, CDUSPOT +2,
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# AND CDUSPOT +4. UNLIKE CD*TR*GS, QUICTRIG DOES NOT LEAVE THE 1'S COMPLEMENT VERSIONS OF THE ANGLES IN
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# CDUSPOT. QUICTRIG'S EXECUTION TIME IS 4.1 MS; THIS IS 10 TIMES AS FAST AS CD*TR*GS. QUICTRIG MAY BE
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# CALLED FROM INTERPRETIVE AS AN RTB OP-CODE, OR FROM BASIC VIA BANKCALL OR IBNKCALL.
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QUICTRIG INHINT # INHINT SINCE DAP USES THE SAME TEMPS
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EXTEND
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QXCH ITEMP1
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CAF FOUR
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+4 MASK SIX
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TS ITEMP2
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INDEX ITEMP2
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CA CDUSPOT
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TC SPSIN
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EXTEND
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MP BIT14 # SCALE DOWN TO MATCH INTERPRETER OUTPUTS
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INDEX ITEMP2
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DXCH SINCDU
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INDEX ITEMP2
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CA CDUSPOT
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TC SPCOS
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EXTEND
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MP BIT14
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INDEX ITEMP2
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DXCH COSCDU
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CCS ITEMP2
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TCF QUICTRIG +4
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CA ITEMP1
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RELINT
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TC A
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# Page 1368
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#****************************************************************************
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# THESE INTERFACE ROUTINES MAKE IT POSSIBLE TO CALL AX*SR*T, ETC., IN
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# INTERPRETIVE. LATER, WHERE POSSIBLE, THEY WILL BE ELIMINATED.
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#
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# NBSM WILL BE THE FIRST TO GO. IT SHOULD NOT BE USED.
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NBSM STQ
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X2
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LXC,1 VLOAD*
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S1 # BASE ADDRESS OF THE CDU ANGLES IS IN S1
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0,1
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STOVL CDUSPOT
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32D # VECTOR TO BE TRANSFORMED IS IN 32D
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CALL
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TRG*NBSM
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STCALL 32D # SINCE THERE'S NO STGOTO
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X2
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2019-05-08 17:55:15 +00:00
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# THESE INTERFACE ROUTINES ARE PERMANENT. ALL RESTORE USER'S EBANK
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# SETTING. ALL ARE STRICT INTERPRETIVE SUBROUTINES, CALLED USING "CALL",
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# RETURNING VIA QPRET. ALL EXPECT AND RETURN THE VECTOR TO BE TRANSFOR-
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# MED INTERPRETER-STYLE IN MPAC; COMPONENTS AT MPAC, MPAC +3, AND MPAC +5.
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# TRG*SMNB AND TRG*NBSM BOTH EXPECT TO SEE THE 2'S COMPLEMENT ANGLES
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# AT CDUSPOT (ORDER Y Z X, AT CDUSPOT, CDUSPOT +2, AND CDUSPOT +4; ODD
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# LOCATIONS NEED NOT BE ZEROED). TRG*NBSM DOES THE NB TO SM TRANSFOR-
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# MATION; TRG*SMNB, VICE VERSA.
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# CDU*NBSM DOES ITS TRANSFORMATION USING THE PRESENT CONTENTS OF
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# THE CDL COUNTERS. OTHERWISE IT IS LIKE TRG*NBSM.
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#
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# CDU*SMNB IS THE COMPLEMENT OF CDU*NBSM.
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CDU*SMNB EXIT
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TC CDUTRIGS
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TCF C*MM*N1
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TRG*SMNB EXIT
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TC CD*TR*GS
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C*MM*N1 TC MPACVBUF # AX*SR*T EXPECTS VECTOR IN VBUF
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CS THREE # SIGNAL FOR SM TO NB TRANSFORMATION.
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C*MM*N2 TC AX*SR*T
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TC INTPRET
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VLOAD RVQ
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VBUF
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CDU*NBSM EXIT
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TC CDUTRIGS
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# Page 1369
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TCF C*MM*N3
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TRG*NBSM EXIT
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TC CD*TR*GS
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C*MM*N3 TC MPACVBUF # FOR AX*SR*T
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CA THREE # SIGNAL FOR NB TO SM TRANSFORMATION
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TCF C*MM*N2
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# *NBSM* AND *SMNB* EXPECT TO SEE THE SINES AND COSINES (AT SINCDU
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# AND COSCDU) RATHER THAN THE ANGLES THEMSELVES. OTHERWISE THEY ARE
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# LIKE TRG*NBSM AND TRG*SMNB.
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# NOTE THAT JUST AS CD*TR*GS NEED BE CALLED ONLY ONCE FOR EACH SERIES
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# OF TRANSFORMATIONS USING THE SAME ANGLES, SO TOO ONLY ONE OF TRG*NBSM
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# AND TRG*SMNB NEED BE CALLED FOR EACH SERIES. FOR SUBSEQUENT TRANFOR-
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# MATIONS USE *NBSM* AND *SMNB*.
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*SMNB* EXIT
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TCF C*MM*N1
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*NBSM* EXIT
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TCF C*MM*N3
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# AX*SR*T COMBINES THE OLD SMNB AND NBSM. FOR THE NB TO SM
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# TRANSFORMATION, ENTER WITH +3 IN A. FOR SM TO NB, ENTER WITH -3.
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# THE VECTOR TO BE TRANSFORMED ARRIVES, AND IS RETURNED, IN VBUF.
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# AX*SR*T EXPECTS TO FIND THE SINES AND COSINES OF THE ANGLES OF ROTATION
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# AT SINCDU AND COSCDU, IN THE ORDER Y Z X. A CALL TO CD*TR*GS, WITH
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# THE 2'S COMPLEMENT ANGLES (ORDER Y Z X) AT CDUSPOT, WILL TAKE CARE OF
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# THIS. HERE IS A SAMPLE CALLING SEQUENCE:-
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# TC CDUTRIGS
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# CS THREE ("CA THREE" FOR NBSM)
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# TC AX*SR*T
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2016-07-07 08:47:26 +00:00
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# THE CALL TO CD*TR*GS NEED NOT BE REPEATED, WHEN AX*SR*T IS CALLED MORE
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# THAN ONCE, UNLESS THE ANGLES HAVE CHANGED.
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# AX*SR*T IS GUARANTEED SAFE ONLY FOR VECTORS OF MAGNITUDE LESS THAN
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# UNITY. A LOOK AT THE CASE IN WHICH A VECTOR OF GREATER MAGNITUDE
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# HAPPENS TO LIE ALONG AN AXIS OF THE SYSTEM TO WHICH IT IS TO BE TRANS-
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# FORMED CONVINCES ONE THAT THIS IS A RESTRICTION WHICH MUST BE ACCEPTED.
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AX*SR*T TS DEXDEX # WHERE IT BECOMES THE INDEX OF INDEXES
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EXTEND
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QXCH RTNSAVER
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R*TL**P CCS DEXDEX # +3 --> 0 -3 --> 2
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CS DEXDEX # THUS: +2 --> 1 -2 --> 1
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AD THREE # +1 --> 2 -1 --> 0
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# Page 1370
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EXTEND
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INDEX A
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DCA INDEXI
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DXCH DEXI
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CA ONE
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TS BUF
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EXTEND
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INDEX DEX1
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DCS VBUF
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TCF LOOP1 # REALLY BE A SUBTRACT, AND VICE VERSA
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LOOP2 DXCH BUF # LOADING VECTOR COMPONENT, STORING INDEX
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LOOP1 DXCH MPAC
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CA SINESLOC
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AD DEX1
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TS ADDRWD
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TC DMPSUB # MULTIPLY BY SIN(CDUANGLE)
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CCS DEXDEX
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DXCH MPAC # NBSM CASE
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TCF +3
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EXTEND # SMNB CASE
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DCS MPAC
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DXCH TERM1TMP
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CA SIX # SINCDU AND COSCDU (EACH 6 WORDS) MUST
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ADS ADDRWD # BE CONSECUTIVE AND IN THAT ORDER
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EXTEND
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INDEX BUF
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INDEX DEX1
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DCA VBUF
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DXCH MPAC
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TC DMPSUB # MULTIPLY BY COS(CDUANGLE)
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DXCH MPAC
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DAS TERM1TMP
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DXCH TERM1TMP
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DDOUBL
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INDEX BUF
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INDEX DEX1
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DXCH VBUF
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DXCH BUF # LOADING INDEX, STORING VECTOR COMPONENT
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CCS A # 'CAUSE THAT'S WHERE THE INDEX NOW IS
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TCF LOOP2
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EXTEND
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DIM DEXDEX # DECREMENT MAGNITUDE PRESERVING SIGN
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# Page 1371
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TSTPOINT CCS DEXDEX # ONLY THE BRANCHING FUNCTION IS USED
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TCF R*TL**P
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TC RTNSAVER
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TCF R*TL**P
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TC RTNSAVER
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2019-05-08 17:55:15 +00:00
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2016-07-07 08:47:26 +00:00
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SINESLOC ADRES SINCDU # FOR USE IN SETTING ADDRWD
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2019-05-08 17:55:15 +00:00
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2016-07-07 08:47:26 +00:00
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INDEXI DEC 4 # ********** DON'T ***********
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DEC 2 # ********** TOUCH ***********
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DEC 0 # ********** THESE ***********
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DEC 4 # ********** CONSTANTS ***********
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# ******************************************************************************
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# Page 1372
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# THIS SUBROUTINE COMPUTES INCREMENTAL CHANGES IN CDU(GIMBAL) ANGLES FROM INCREMENTAL CHANGES ABOUT SM AXES. IT
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# REQUIRES SM INCREMENTS AS A DP VECTOR SCALED AT ONE REVOLUTION(DTHETASM,+2,+4). SIN,COS(CDUY,Z,X) ARE IN
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2019-05-08 17:55:15 +00:00
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# SINCDU,+2,+4 AND COSCDU,+2,+4 RESPECTIVELY,SCALED TO ONE HALF. CDU INCREENTS ARE PLACED IN DCDU,+2,+4 SCALED TO
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2016-07-07 08:47:26 +00:00
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# ONE REVOLUTION.
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2019-05-08 17:55:15 +00:00
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2016-07-07 08:47:26 +00:00
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# * COS(IGA)SEC(MGA) 0 -SIN(IGA)SEC(MGA) *
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# * *
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# * -COS(IGA)TAN(MGA) 1 SIN(IGA)TAN(MGA) *
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# * *
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# * SIN(IGA) 0 COS(IGA) *
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BANK 14
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SETLOC POWFLIT1
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BANK
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2016-12-28 16:11:25 +00:00
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2016-07-07 08:47:26 +00:00
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SMCDURES DLOAD DMP
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DTHETASM
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COSCDUY
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2016-12-28 16:11:25 +00:00
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2016-07-07 08:47:26 +00:00
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PDDL DMP
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DTHETASM +4
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SINCDUY
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2016-12-28 16:11:25 +00:00
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2016-07-07 08:47:26 +00:00
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BDSU
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DDV
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COSCDUZ
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STORE DCDU
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2016-12-28 16:11:25 +00:00
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2016-07-07 08:47:26 +00:00
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DMP SL1 # SCALE
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SINCDUZ
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BDSU
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2016-12-28 16:11:25 +00:00
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2016-07-07 08:47:26 +00:00
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DTHETASM +2
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STODL DCDU +2
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DTHETASM
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2016-12-28 16:11:25 +00:00
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2016-07-07 08:47:26 +00:00
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DMP PDDL
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SINCDUY
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DTHETASM +4
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2016-12-28 16:11:25 +00:00
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2016-07-07 08:47:26 +00:00
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DMP DAD
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COSCDUY
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SL1
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STORE DCDU +4
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RVQ
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