On Tue, 08 Dec 2009 10:17:30 -0500, Don <[email protected]> wrote:

Steven Schveighoffer wrote:
On Tue, 08 Dec 2009 05:32:26 -0500, Don <[email protected]> wrote:

Based on everyone's comments, this is what I have come up with:

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x ^^ y is right associative, and has a precedence intermediate between multiplication and unary operators.

* The type of x ^^ y is the same as the type of x * y.
* 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; }
* If both x and y are integers, and y < 0, an integer divide error occurs, regardless of the value of x. This error is detected at compile time, if possible.
* If either x or y are floating-point, the result is pow(x, y).
If x and y are both integral and x is 2, then the operation becomes 1 << y

And if x is 4, it becomes 1 << 2*y, etc.
Google for "addition chains" if you're interested in the optimal sequences, it's a mathematical research area.

2^^n would be a very common entity in programming, it's definitely much more appealing to me than 1 << n. I just figured the compiler should avoid making the optimizer work on optimizing out that foreach loop and do the work up front.

But in any case, since I misunderstood what you meant (that the above loop is not literally inserted), it doesn't matter as long as the implementation can be optimized.


Also, what happens when you do 3^^1000000? I hope this does not result in the exact loop you wrote above.

No, of course not. I was just describing semantics, not implementation. The little foreach loop implicitly describes what happens to overflow, etc.

ok good.

-Steve

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