David,

Why don't you increment T by a little bit in each iteration, say by jj/1000., 
to prove that no optimization is occurring? I would do it but I develop for Mac 
OSX only.

Tom Wetmore

On Aug 8, 2013, at 3:59 PM, David Rowland <[email protected]> wrote:

> I ran it in Debug mode which should turn off most optimizations. I ran the 
> loop 100 times and then 200 times. The latter took almost exactly twice the 
> time as the former. The results are saved in instance variables of the C++ 
> class this belongs to.
> 
> 
> On Aug 8, 2013, at 12:06 PM, Sandy McGuffog <[email protected]> wrote:
> 
>> Be careful using that code as a test; a good optimizing compiler could pick 
>> up that sin is a library function without side effects, and no result is 
>> saved, and optimize that loop to two calls to adjustValueRadians. 
>> 
>> Sandy
>> 
>> On Aug 8, 2013, at 8:17 PM, Thomas Wetmore <[email protected]> wrote:
>> 
>>> David,
>>> 
>>> Those are lightening speeds. So I agree with you wholeheartedly -- there is 
>>> no sense in working on a custom table-driven approach. The current approach 
>>> must already be table-based with speeds like that.
>>> 
>>> Tom Wetmore
>>> 
>>> 
>>> On Aug 8, 2013, at 1:26 PM, David Rowland <[email protected]> wrote:
>>> 
>>>> I wrote an app that calculates the positions of Sun and Moon and other 
>>>> information as well. The heart of the Moon calculation is this. I added a 
>>>> loop around it and called a stopwatch at the beginning and end.
>>>> 
>>>> startTime();
>>>> for (int jj = 0; jj<100;++jj)
>>>> {
>>>> //in radians
>>>> double lambda = 3.81040282295402 + 8399.70910754626 * T
>>>> + 0.109781209950443 * sin(adjustValueRadians(2.35619449019234 + 
>>>> 8328.69146829639 * T))
>>>> - 0.022165681500328 * sin(adjustValueRadians(4.5256387504213 - 
>>>> 7214.06294691607 * T))
>>>> 
>>>> One hundred times through this loop, on my iPhone 5, took about 0.0028 
>>>> seconds. Two hundred times took about 0.0056 sec.
>>>> 
>>>> I infer that one pass takes about 0.000028 seconds, or 28.0 microseconds.
>>>> 
>>>> The functions are probably very carefully written and could not be 
>>>> improved by table lookups, vector libraries, etc. That is barking up the 
>>>> wrong tree. 
>>>> 
>>>> David

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