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FileMaker Pro Custom Functions

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unique_combinations_counter_rec (number_values)

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Eric Plassot, INRAP
http://www.inrap.fr/archeologie-preventive/p-7-Accueil.htm

Same as "unique_combinations_counter (number_values)"; but recursive. This function calculates the number of unique combinations of n values (WARNING 212 Values Max)

Sample Input:

unique_combinations_counter_rec(4)
unique_combinations_counter_rec(50)

Sample Output:

15
1125899906842623

/* unique_combinations_counter_rec (number_values) by Eric Plassot v.1, May 2009 Same as "unique_combinations_counter (number_values)"; but recursive. This function calculates the number of unique combinations of n values (WARNING 212 Values Max) ex : list = "a¶b¶c¶d" ----> 4 values combinations = "a¶b¶c¶d¶ab¶ac¶ad¶bc¶bd¶cd¶abc¶abd¶acd¶bcd¶abcd" ---> 15 unique values (without aa, abc=bca=cab=acb...) RECURSIVE*/ if( number_values > 212; "error (number_values>212)"; Case( $Counter < number_values; let( [ $n_combcum = Cas( $Counter = ""; ""; $n_combcum ); $Counter = $Counter + 1; $val = Combination( number_values; $Counter ); $n_combcum = $n_combcum + $val ]; unique_combinations_counter_rec( number_values ) ); let( $Counter = ""; $n_combcum ) ) )
Then copy & paste into FileMaker Advanced's Edit Custom Function window.

Click here to copy To Clip Manager if you have myFMbutler's Clip Manager installed

Description:

Same as "unique_combinations_counter (number_values)"; but recursive.
This function calculates the number of unique combinations of n values (WARNING 212 Values Max)
ex :
list = "a¶b¶c¶d" ----> 4 values
combinations = "a¶b¶c¶d¶ab¶ac¶ad¶bc¶bd¶cd¶abc¶abd¶acd¶bcd¶abcd"
---> 15 unique values (without aa, abc=bca=cab=acb...)

Note: these functions are not guaranteed or supported by BrianDunning.com. Please contact the individual developer with any questions or problems.

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