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1 Although the non-binary libraries syslib.[3-7]i are meant to be
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2 treated as workalikes with the original system library, it should be
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3 noted that several of them contain some new routines. These are used
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4 internally by the standard routines, and are there to provide methods
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5 for doing a few things that are taken for granted in base 2. While
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6 they were not intended to be used by other programs, there is nothing
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7 stopping them from being so used.
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8
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9 The even bases have routines to double and halve values, and use a
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10 third variable as a carry/borrow flag. Since halving in odd bases
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11 produces infinite fractions, bases 5 and 7 instead use a single-digit
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12 multiplication routine. (Base 3 multiplication is still simple enough
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13 to be handled without a separate support routine.)
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14
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15 syslib.4i
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16 ---------
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17 (1200) .2 <- .1 times two
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18 .3 <- #0 if no overflow, otherwise .3 contains the quart that
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19 was "shifted" off the left end
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20 (1210) .2 <- .1 divided by two
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21 .3 <- #0 if .1 is even, otherwise .3 contains #2
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22 (1700) :2 <- :1 times two
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23 .1 <- #0 if no overflow, otherwise .1 contains the quart that
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24 was "shifted" off the left end
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25 (1710) :2 <- :1 divided by two
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26 .1 <- #0 if .1 is even, otherwise .1 contains #2
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27
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28 syslib.5i
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29 ---------
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30 (1720) :2 <- :1 times the least significant quint of .1 (the remaining
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31 quints of .1 are ignored)
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32 .2 <- #0 if no overflow, otherwise .2 contains the quint that
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33 was "shifted" off the left end
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34
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35 syslib.6i
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36 ---------
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37 (1200) .2 <- .1 times two
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38 .3 <- #0 if no overflow, otherwise .3 contains the sext that
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39 was "shifted" off the left end
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40 (1210) .2 <- .1 divided by two
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41 .3 <- #0 if .1 is even, otherwise .3 contains #3
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42 (1700) :2 <- :1 times two
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43 .1 <- #0 if no overflow, otherwise .1 contains the sext that
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44 was "shifted" off the left end
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45 (1710) :2 <- :1 divided by two
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46 .1 <- #0 if .1 is even, otherwise .1 contains #3
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47
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48 syslib.7i
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49 ---------
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50 (1720) :2 <- :1 times the least significant sept of .1 (the remaining
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51 septs of .1 are ignored)
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52 .2 <- #0 if no overflow, otherwise .2 contains the sept that
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53 was "shifted" off the left end
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