Îõ³h$$#À    (c) OleksandrZhabenko 2019-2021MITolexandr543@yahoo.com ExperimentalNoneÇmmsyn2ÃThe function that can be used instead of the 'case ... of' function Òcase var of a1 -> b1 a2 -> b2 a3 -> b3 ... an -> bn _ -> defaultValue…If we follow a lot of teaching materials that explain the workflow of the construction we think that the complexity of it is about O(n) for the transformation of a to b¥ here. David Feuer (david.feuer (at) gmail.com) said that 'case ... of' is already optimized in GHC. Some benchmarks show that its behaviour tends to be about of O(log n)0 complexity, the same as the proposed function Â. Nevertheless, the last one shows better performance in some situations, is rather general and can be used for another data representation. Therefore, it can be preferred in some situations. & uses binary search algorithm and a   (a, b)Ä as somewhat like a complicated filter or like a special sieve. The   (a, b)ÿ must be sorted in ascending order here for the algorithm to be used correctly. For this you can use the following functions  and . b before   (a, b), in the tuple in the type definition of the  must be a  defaultValue for 'case' above.   (a, b) corresponds to , a1 -> b1 a2 -> b2 a3 -> b3 ... an -> bnmmsyn2ÝThe function that uses special realization of the binary search to effectively transform the   a to   b instead of simply use  Òcase var of a1 -> b1 a2 -> b2 a3 -> b3 ... an -> bn _ -> defaultValueThe   (a, b)ÿ must be sorted in ascending order here for the algorithm to be used correctly. For this you can use the following functions  and é. it can be used to simplify the procedure for optimizing the code for transformation of the Vector data.b after   (a, b) in the type definition of the  must be a  defaultValue for  case ... of above.   (a, b) corresponds to , a1 -> b1 a2 -> b2 a3 -> b3 ... an -> bnmmsyn2ÎThe function that uses special kind of bisection to effectively transform the [a] to [b] instead of simply use  Òcase var of a1 -> b1 a2 -> b2 a3 -> b3 ... an -> bn _ -> defaultValueA   (a, b)ÿ must be sorted in ascending order here for the algorithm to be used correctly. For this you can use the following functions  and ›. The function can be used to simplify the procedure for optimizing the code for transformation of the list data or to represent the data in another way.b after the   (a, b) in the type definition of the  must be a  defaultValue for  case ... of above.   (a, b) corresponds to , a1 -> b1 a2 -> b2 a3 -> b3 ... an -> bnmmsyn2Function that sorts a list of (a, b)3 tuples by the first argument and is inspired by 4 function (the last one can be used for sorting the (a, b) tuples where both the types of a and b have instances of the class  ). It is inspired by the work: %https://wiki.haskell.org/Introductionmmsyn2#Function that prepares the list of (a, b) tuples representing the  Ôcase var of a1 -> b1 a2 -> b2 a3 -> b3 ... an -> bn _ -> defaultValuefor usage in the  and  functions. The resulting   has for every a= only one element, which was the first in the list of tuples (a, b) after sorting by  function.mmsyn2Is used to filter [(a, b)]! of the corresponding values for getFstB' to obtain the   (a, b) such that the b# element for the sequence of pairs (a, b) with the same a is selected by the predicate p9 and is not necessarily the first one as it is for the getFstB'( function and its successors by default.mmsyn2bØ is a default value that can be substituted if there is no correspendence in the set of (a, b) tuples (the 1 or irrefutable pattern analogue). Vector of the (a, b)â tuples that must be sorted in ascending order for the first argument. If there are several pairs (a, b) with the same a!, the function gives a resulting b" as if there is only the first onemmsyn21an element for which the corresponding resulting b must be foundmmsyn2 the resultmmsyn2  of the (a, b)Á tuples that are sorted in ascending order for the first argumentmmsyn2Ôa default value that can be substituted if there is no correspendence in the set of (a, b) tuples (the ! or irrefutable pattern analogue)mmsyn2a  5 needed to be transformed accordingly to the correct (a, b) tuple pairsmmsyn2the resulting  mmsyn2  of the (a, b)Å tuples that must be sorted in ascending order for the first argumentmmsyn2Ôa default value that can be substituted if there is no correspendence in the set of (a, b) tuples (the ! or irrefutable pattern analogue)mmsyn2Åa list of values needed to be transformed accordingly to the correct (a, b) tuple pairsmmsyn2the resulting listmmsyn2ÉThe list of conditions that is then converted to the corresponding Vectormmsyn28the resulting sorted Vector that can be used further in  and its successors.mmsyn2The predicate p& used to select the only one value of b in the pairs (a, b) with the same a!. ^ If there are several pairs (a, b) for the same a that satisfies a predicate then the first one is used. For large [(a, b)] ^ it can be rather complex.mmsyn2 The list of (a, b)Ä sorted in the ascending order by the first element a (e. g. by the  function)mmsyn2The resulting filtered  Vector (a, b); that can be used for getFstB' and its successor functions. Example: µfilterP (\(t, w) -> (t == "1") || (w > 'f')) . sortFst $ [("1",'a'),("4a",'k'),("4a",'b'),("4a",'c'),("4a",'d'),("4a",'e'),("b7",'c'),("b7",'k')] = [("1",'a'),("4a",'k'),("b7",'k')](c) OleksandrZhabenko 2019-2021MITolexandr543@yahoo.com ExperimentalNoneÇ#°mmsyn2A variant of the ' function that operates on the unboxed .mmsyn2A variant of the  that operates on the unboxed .mmsyn2A variant of the  that operates on the unboxed . mmsyn2A variant of the  that operates on the unboxed . It is inspired by the work: %https://wiki.haskell.org/Introduction mmsyn2A variant of the   that operates on the unboxed . mmsyn2A variant of the   that operates on the unboxed .mmsyn2bØ is a default value that can be substituted if there is no correspendence in the set of (a, b) tuples (the 1 or irrefutable pattern analogue). Vector of the (a, b)â tuples that must be sorted in ascending order for the first argument. If there are several pairs (a, b) with the same a!, the function gives a resulting b" as if there is only the first onemmsyn2Àan element for which the corresponding resulting b must be foundmmsyn2 the resultmmsyn2Vector of the (a, b)Á tuples that are sorted in ascending order for the first argumentmmsyn2Ôa default value that can be substituted if there is no correspendence in the set of (a, b) tuples (the ! or irrefutable pattern analogue)mmsyn2=a Vector needed to be transformed accordingly to the correct (a, b) tuple pairsmmsyn2the resulting Vectormmsyn2Vector of the (a, b)Å tuples that must be sorted in ascending order for the first argumentmmsyn2Ôa default value that can be substituted if there is no correspendence in the set of (a, b) tuples (the ! or irrefutable pattern analogue)mmsyn2Åa list of values needed to be transformed accordingly to the correct (a, b) tuple pairsmmsyn2the resulting list mmsyn2ÉThe list of conditions that is then converted to the corresponding Vectormmsyn2Ôthe resulting sorted Vector that can be used further in getBFst' and its successors. mmsyn2The predicate p& used to select the only one value of b in the pairs (a, b) with the same a!. ^ If there are several pairs (a, b) for the same a that satisfies a predicate then the first one is used. For large [(a, b)] ^ it can be rather complex.mmsyn2 The list of (a, b)Ä sorted in the ascending order by the first element a (e. g. by the   function)mmsyn2The resulting filtered  Vector (a, b); that can be used for getFstB' and its successor functions.         %mmsyn2-0.3.2.0-9cipL4pEjiB8h6FZryn5DfCaseBiCaseBi.Unboxed Data.ListsortgetBFst'getBFstVgetBFstsortFstsortFstVfilterP&vector-0.12.2.0-JHTPqJflPVm5AbyFmGf02q Data.VectorVectorghc-prim GHC.ClassesOrdbaseGHC.Base otherwiseData.Vector.Unboxed.Base