Version | Change log |
Agena 4.2.6 Oct 2, 2024 |
`avl.include`, `skew.include` and `binary.include` can simply append a new value into a skew or binary heap with the new two-argument mode. Just pass the structure and the value to be appended, for example with binary heaps. `binary.entries` and `binary.iterate` have been fixed as they did not correctly traverse all tuples in a binary heap. The functions now also return the key-value pairs in the same order as `binary.remove` does. New `binary.explore` returns the internal structure of a binary heap and returns a table with all its levels in various subtables. With the heap created above |
Agena 4.2.5 Sep 30, 2024 |
`calc.xpdiff` and thus also `calc.differ`, with no specific epsilon value given in the function call, often had severe problems correctly computing the third derivative (and only this one), especially with roots and logarithms. This has been largely fixed at a slight decrease of accuracy with trigonometric functions, but with `calc.xpdiff` only. The accuracy of `calc.differ` with trigonometric functions is the same as before. All issues with `calc.differ`, `calc.xpdiff` and `calc.diff` that occured on x86 Mac OS X with the previous release have been solved. `math.epsilon` has again been slightly changed: in the first form with method 0, it has been changed back to the version prior to Agena 4.2.3, returning Eps with |x| < 1 and a value greater than Eps otherwise; in the first form with method 1, it now returns Eps with |x| < 0.0123927159 and a value greater than Eps otherwise; the second form has been left unchanged. |
Agena 4.2.4 Sep 25, 2024 |
New `calc.mean` computes the mean of a univariate or multivariate function, that is the average value of the function over on interval. > calc.mean(<< x -> sin(x) >>, 0, Pi): # = 1/(Pi - 0)*calc.intcc(<< x -> sin(x) >>, 0, Pi) 0.63661977236758 New `calc.riesum` is a basic and rather straightforward implementation of the Riemann Sum of a univariate real function over an interval. You can choose between left-hand, right-hand, midpoint (the default) and random rule and give an alternative number of subintervals to be checked. > calc.riesum(<< x -> sin(x) >>, 0, Pi): # 10 subintervals (the default) 2.008248407908 > calc.riesum(<< x -> sin(x) >>, 0, Pi, 50, 'random'): # 50 subintervals, random-point rule 1.9996971052145 `calc.intcc`, `calc.intde`, `calc.gauleg`, `calg.gtrap` and `calc.simaptive` now return zero instead of issuing an error if the left and the right boundary are equal. When given +/- infinity for at least one boundary, `calc.gauleg`, `calg.gtrap`, `calc.intde` and `calc.simaptive` now quit with an error. They also now check, when not already implemented, whether the lower boundary is less than or equal the upper boundary and issue an error otherwise. These measures especially prevent issues with `calc.simaptive` which ran into a long loop succeeded by an out-of-memory error. |
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