To let the value increase towards 1, although, after a while, very slowly. Picked among the trigonometric functions. So x can be incremented without problems. Here is the assembled formula (I guess there can be an infinity of formulas that capture the idea I am going to expose). CAS won and poor me not thinking much on the simplification between tan and sin.
(especially systems with CAS may use this) - this actually didn't always work as noticed by some users. it avoids to use a function and its inverse to skip very careful optimizations done by the parser. it may be used with a metric that combines speed and accuracy (a problem would be to get the right accuracy for the problem). It does not take much time (well unless one is forced to write a program to optimize some parts). with a summation with increasing x (not dependent on the previous computed value) also some advanced scientific calculators can be tested. So to recap the idea of this test is there because: People are encouraged to post timings and results. Timings will be collected here, and then moved on the wiki4hp if there are enough of them. Surely speed without accuracy is not that neat and so one could go on and build a metric that weights accuracy and speed, as done by a recent HHC (about egyptian fractions), anyway I will collect only timings. I am not that interested in the accuracy, as it is well analyzed in many other posts using other examples (especially by Dieter, that for me will always be the ULPs man).
Furthermore while the idea of using a function and its inverse is pretty neat (see savage benchmark), some calculators may be very carefully coded figuring this out and therefore simplifying the expression. The idea is to have a loop working on an increment of the 'x' value that is somewhat independent from the step before (while the savage test uses the value picked from the step before). So as said the summation based test will be very similar to the savage benchmark and I wonder how many similar tests were developed on various forum or groups regarding calculators.Īnyway, inspired by the test done in the thread of Eddie linked in the 1st post, I decided to pick randomly some scientific functions to assemble a summation that may give an idea of the performances of a calculator for common math functions.
0 kommentar(er)
