🚀 go-pugleaf

In article <3135@jade.BERKELEY.EDU> desj@brahms.Berkeley.EDU (David desJardins) writes:
>In article <3300003@uiucdcsm> grunwald@uiucdcsm.cs.uiuc.edu writes:
>>
>>Strength reduction is replacement of operations such as "i = j * 8" by
>>"i = j << 3", or "i = j % 8" by "i = j & 0x3" (if j is unsigned).
>                                  ^^^^^^^^^^^   ^^^^^^^^^^^^^^^^
>   I'm sure you mean "i = j & 0x7".  But, more importantly, this is the
>right remainder to compute even if j is signed (assuming two's-complement,
>of course).  It's too bad more people (especially hardware designers!)
>don't realize this.

Only if division of a negative number by a positive one produces a
positive % result. On some machines -11%7 may be -4, while -11/7 is -1.
(In fact 'all machines covered by' K&R work this way).

You are then in trouble if -11%8 is 5 instead of -3. You may believe
this definition of % and / is not 'right' ( there was a fearful, loathsome
debate on net.lang.c about 14 mths ago about this ), but if they work
that way, they have to always work that way, even if the divisor is a
power of 2.

There is another analogous advantage to David's 'right' method (where dividing
a - by a + rounds the quotient to -ve and gives a +ve remainder):  A divide by
a power of two can become an arithmetic right shift.

( the ns32k, always eager to please, provides both forms of % and / ).

[ Just stating some facts. PLEASE don't start this debate again - it's
  a religious issue like byte order ]

>   -- David desJardins


-- 
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Greg Smith     University of Toronto      UUCP: ..utzoo!utcsri!greg
Have vAX, will hack...