Apollo-11/Comanche055/POWERED_FLIGHT_SUBROUTINES.agc

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