On Dec 8, 09 19:16, bearophile wrote:
Don:
Based on everyone's comments, this is what I have come up with:
Looks good.
* If y == 0, x ^^ y is 1.
* If both x and y are integers, and y> 0, x^^y is equivalent to
{ auto u = x; foreach(i; 1..y) { u *= x; } return u; }
You can rewrite both of those as:
{ typeof(x) u = 1; foreach (i; 0 .. y) { u *= x; } return u; }
(1) Although the following special cases could be defined...
* If x == 1, x ^^ y is 1
* If x == -1 and y is even, x^^y == 1
* If x == -1 and y is odd, x^^y == -1
... they are not sufficiently useful to justify the major increase in
complexity which they introduce.
This is not essential:
(-1)**n is a common enough shortcut to produce an alternating +1 -1, you can
see it used often enough in Python code (and in mathematics). This search gives
433 results:
http://www.google.com/codesearch?q=\%28-1\%29\s*\*\*\s*[0-9a-zA-Z%28]+lang%3Apython
When used for this purpose (-1) is always compile time constant, so the
compiler can grow a simple rule the rewrites:
(-1) ^^ n
as
(n& 1) ? -1 : 1
Bye,
bearophile
Other non-essential special cases are 2^^n == 1<<n and x^^2 == x*x, but
these should be put in the optimizer, not the language. (And an integer
power algorithm http://www.c2.com/cgi/wiki?IntegerPowerAlgorithm should
be used instead of a simple foreach loop implementation-wise.)
