Extral Mathematical commands on whole lists

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lmath_cumul ?list?

returns a list containing the cumulative sums of the numbers in the list

lmath_incr ?list? ?value?

returns a list containing the numbers in the list incremented by value

lmath_between ?list? ?min? ?max?

returns a list containing the numbers in the list but with a minimum and maximum: Any value higher than the maximum is changed to the maximum. Any value lower than the minimum is changed to the minimum.

lmath_stdev ?list? ??main??

returns the standard deviation of the numbers in the list.

lmath_majority ?list?

returns the most representative of the numbers in the list. This calculated by using gravity scoring: Each number in the list adds to the score depending on the distance to the supported number The number with the most support is returned. Where more than one number gets the same amount of support (e.g. evenly spaced) The average of the best supported numbers is returned

lmath_majoritydev ?list? ?majority?

returns the most representative deviation of values in list from the given ?majority? number

lmath_calc ?list1? ?action? ?list2?

makes calculations on lists. Action can be one of +, -, * or / list2 may also be a single number, in which case this number will be used for all elements in list1
eg.:

	% lmath_calc {1 2 3.2 4} + {1 2 3.2 4}
	2.0 4.0 6.4 8.0

lmath_sum ?list?

returns the sum of the numbers in the list

lmath_between ?list?

returns the average of the numbers in the list.

lmath_min ?list?

returns the minimum of the numbers in the list

lmath_max ?list?

returns the maximum of the numbers in the list

lmath_filter list filter ?filterpos? ?unfilteredvalue?

applies the filter by sliding it over the list, multiplying all elements of the filter with the current elements in the list, and changing the list element in the middle of the filter (or at filterpos) with the sum of the products. The numbers at the beginning and end of the list that are not covered by the filter, are given the value of the first, respectively last element that can be calculated, unless a value for these is explicitly given (unfilteredvalue) returns the filtered list

Peter De Rijk

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