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Operating Systems OS X (Apple) A Fun Perfect Square Checker Using Integer Arithmetic Only... ;o) Post 302952702 by wisecracker on Friday 21st of August 2015 04:16:54 AM
Old 08-21-2015
Fellas, fellas, settle down... ;oD

I seem to have created a riot on this thread; now let me mediate.

Firstly I did quote using "INTEGER arithmetic".

Secondly I also quoted "it is a little tongue-in-cheek".

And thirdly it uses builtins only...

At Don...
Don, in his defence, used builtins although not INTEGER arithmetic; he admitted that ksh93 was used as he expended on my original upload using ksh's floating point - root=$((int(number ** .5))) ; I am assuming 'int' is part of ksh's arithmetic...
So Don, as bash cannot do floating point then you did cheat... ;oD

At neutronscott...
Well what can I say... ;oD
Using various [?]awk commands are not builtins so you also cheated... ;oD

At sea...
It would have been interesting to see your result too...

One very serious question however:-

How accurate is either "[?]awk's" or "ksh's" floating point?
Would there be a situation where there would be a false result due to a floating point __error__?

Bazza...
 

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dict(3erl)						     Erlang Module Definition							dict(3erl)

NAME
dict - Key-Value Dictionary DESCRIPTION
Dict implements a Key - Value dictionary. The representation of a dictionary is not defined. This module provides exactly the same interface as the module orddict . One difference is that while this module considers two keys as dif- ferent if they do not match ( =:= ), orddict considers two keys as different if and only if they do not compare equal ( == ). DATA TYPES
dictionary() as returned by new/0 EXPORTS
append(Key, Value, Dict1) -> Dict2 Types Key = Value = term() Dict1 = Dict2 = dictionary() This function appends a new Value to the current list of values associated with Key . An exception is generated if the initial value associated with Key is not a list of values. append_list(Key, ValList, Dict1) -> Dict2 Types ValList = [Value] Key = Value = term() Dict1 = Dict2 = dictionary() This function appends a list of values ValList to the current list of values associated with Key . An exception is generated if the initial value associated with Key is not a list of values. erase(Key, Dict1) -> Dict2 Types Key = term() Dict1 = Dict2 = dictionary() This function erases all items with a given key from a dictionary. fetch(Key, Dict) -> Value Types Key = Value = term() Dict = dictionary() This function returns the value associated with Key in the dictionary Dict . fetch assumes that the Key is present in the dictionary and an exception is generated if Key is not in the dictionary. fetch_keys(Dict) -> Keys Types Dict = dictionary() Keys = [term()] This function returns a list of all keys in the dictionary. filter(Pred, Dict1) -> Dict2 Types Pred = fun(Key, Value) -> bool() Key = Value = term() Dict1 = Dict2 = dictionary() Dict2 is a dictionary of all keys and values in Dict1 for which Pred(Key, Value) is true . find(Key, Dict) -> {ok, Value} | error Types Key = Value = term() Dict = dictionary() This function searches for a key in a dictionary. Returns {ok, Value} where Value is the value associated with Key , or error if the key is not present in the dictionary. fold(Fun, Acc0, Dict) -> Acc1 Types Fun = fun(Key, Value, AccIn) -> AccOut Key = Value = term() Acc0 = Acc1 = AccIn = AccOut = term() Dict = dictionary() Calls Fun on successive keys and values of Dict together with an extra argument Acc (short for accumulator). Fun must return a new accumulator which is passed to the next call. Acc0 is returned if the list is empty. The evaluation order is undefined. from_list(List) -> Dict Types List = [{Key, Value}] Dict = dictionary() This function converts the Key - Value list List to a dictionary. is_key(Key, Dict) -> bool() Types Key = term() Dict = dictionary() This function tests if Key is contained in the dictionary Dict . map(Fun, Dict1) -> Dict2 Types Fun = fun(Key, Value1) -> Value2 Key = Value1 = Value2 = term() Dict1 = Dict2 = dictionary() map calls Func on successive keys and values of Dict to return a new value for each key. The evaluation order is undefined. merge(Fun, Dict1, Dict2) -> Dict3 Types Fun = fun(Key, Value1, Value2) -> Value Key = Value1 = Value2 = Value3 = term() Dict1 = Dict2 = Dict3 = dictionary() merge merges two dictionaries, Dict1 and Dict2 , to create a new dictionary. All the Key - Value pairs from both dictionaries are included in the new dictionary. If a key occurs in both dictionaries then Fun is called with the key and both values to return a new value. merge could be defined as: merge(Fun, D1, D2) -> fold(fun (K, V1, D) -> update(K, fun (V2) -> Fun(K, V1, V2) end, V1, D) end, D2, D1). but is faster. new() -> dictionary() This function creates a new dictionary. size(Dict) -> int() Types Dict = dictionary() Returns the number of elements in a Dict . store(Key, Value, Dict1) -> Dict2 Types Key = Value = term() Dict1 = Dict2 = dictionary() This function stores a Key - Value pair in a dictionary. If the Key already exists in Dict1 , the associated value is replaced by Value . to_list(Dict) -> List Types Dict = dictionary() List = [{Key, Value}] This function converts the dictionary to a list representation. update(Key, Fun, Dict1) -> Dict2 Types Key = term() Fun = fun(Value1) -> Value2 Value1 = Value2 = term() Dict1 = Dict2 = dictionary() Update a value in a dictionary by calling Fun on the value to get a new value. An exception is generated if Key is not present in the dictionary. update(Key, Fun, Initial, Dict1) -> Dict2 Types Key = Initial = term() Fun = fun(Value1) -> Value2 Value1 = Value2 = term() Dict1 = Dict2 = dictionary() Update a value in a dictionary by calling Fun on the value to get a new value. If Key is not present in the dictionary then Initial will be stored as the first value. For example append/3 could be defined as: append(Key, Val, D) -> update(Key, fun (Old) -> Old ++ [Val] end, [Val], D). update_counter(Key, Increment, Dict1) -> Dict2 Types Key = term() Increment = number() Dict1 = Dict2 = dictionary() Add Increment to the value associated with Key and store this value. If Key is not present in the dictionary then Increment will be stored as the first value. This could be defined as: update_counter(Key, Incr, D) -> update(Key, fun (Old) -> Old + Incr end, Incr, D). but is faster. NOTES
The functions append and append_list are included so we can store keyed values in a list accumulator . For example: > D0 = dict:new(), D1 = dict:store(files, [], D0), D2 = dict:append(files, f1, D1), D3 = dict:append(files, f2, D2), D4 = dict:append(files, f3, D3), dict:fetch(files, D4). [f1,f2,f3] This saves the trouble of first fetching a keyed value, appending a new value to the list of stored values, and storing the result. The function fetch should be used if the key is known to be in the dictionary, otherwise find . SEE ALSO
gb_trees(3erl) , orddict(3erl) Ericsson AB stdlib 1.17.3 dict(3erl)
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