Module:Harmonics in equal: Difference between revisions
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intervals.prime = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 } | intervals.prime = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 } | ||
intervals.odd = {3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53 } | intervals.odd = {3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53 } | ||
intervals.integer = { | intervals.integer = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27} | ||
-- evaluate input on error use default | -- evaluate input on error use default | ||
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local start = eval_num_arg(frame.args['start'], 1) | local start = eval_num_arg(frame.args['start'], 1) | ||
-- option intervals | -- option intervals | ||
local | local select_intervals = "integer" | ||
if denom == 1 and num == 2 then | |||
select_intervals = "odd" | |||
end | |||
if frame.args['intervals'] and string.len(frame.args['intervals']) > 0 then | if frame.args['intervals'] and string.len(frame.args['intervals']) > 0 then | ||
select_intervals = frame.args['intervals'] | |||
end | end | ||
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name = steps .. 'edf' | name = steps .. 'edf' | ||
end | end | ||
title_intervals = "primes" | |||
if select_intervals == "odd" then | |||
title_intervals = "odd harmonics" | |||
elseif select_intervals == "integer" then | |||
title_intervals = "harmonics" | |||
end | |||
local title = frame.args['title'] | local title = frame.args['title'] | ||
if title == nil or string.len(title) == 0 then | if title == nil or string.len(title) == 0 then | ||
title = | title = "Approximation of ".. title_intervals .. " in " .. name | ||
end | end | ||
-- optional precision for abs error, default about 3 digits | -- optional precision for abs error, default about 3 digits | ||
local prec = eval_num_arg(frame.args['prec'], prec_by_equal(steps, num, denom)) | local prec = eval_num_arg(frame.args['prec'], prec_by_equal(steps, num, denom)) | ||
return approx( steps, num, denom, {unpack( | return approx( steps, num, denom, {unpack(intervals[select_intervals], start, start+columns-1)}, title, prec) | ||
end | end | ||
return p; | return p; | ||