https://informatiestandaarden.test-nictiz.nl/index.php?action=history&feed=atom&title=Sjabloon%3ARndpadSjabloon:Rndpad - Bewerkingsoverzicht2026-04-28T08:56:43ZBewerkingsoverzicht voor deze pagina op de wikiMediaWiki 1.43.0https://informatiestandaarden.test-nictiz.nl/index.php?title=Sjabloon:Rndpad&diff=2295&oldid=prevAhenket: Nieuwe pagina aangemaakt met '<noinclude><!-- -============================================================= - Template:Rndpad - round 11-digit billions & pad end zeroes -=======================...'2013-07-18T09:16:01Z<p>Nieuwe pagina aangemaakt met '<noinclude><!-- -============================================================= - Template:Rndpad - round 11-digit billions & pad end zeroes -=======================...'</p>
<p><b>Nieuwe pagina</b></p><div><noinclude><!--<br />
-=============================================================<br />
- Template:Rndpad - round 11-digit billions & pad end zeroes<br />
-=============================================================<br />
-- (see NOTES at bottom)<br />
--></noinclude>{{<br />
#ifexpr: abs( {{{1|0}}} ) > 84999999999 <!--85 billion<br />
--> or abs( {{{1|7.58}}} ) < 1E-7 <!--tiny below 0.00000001<br />
--then just use-->|{{rnd|{{{1|89730000006.40}}}<!--<br />
-->|{{{2|-7}}} }}<!--over 85 billion, allow scientific notation<br />
<br />
--else-->|<!--round up to 85 billion as split 11-digit form...<br />
-->{{#ifexpr:({{{1|7.58}}}) round ({{{2|-5}}}) > 99999 |<!--<br />
--then-show-digits-above-99,999-->{{#expr:<br />
floor( ( ({{{1|7.58}}}) round ({{{2|-5}}}) )/100000<br />
+ 1E-9 ) }}<!--add to unbug floor(x) & truncate, see NOTE F3<br />
<br />
--show-each-zero-above-rounded-remainder-->{{<br />
#ifexpr:(( {{{1|7.58}}} round {{{2|-5}}})+1E-9) mod 1E5 < 10000|<!--then show "0"-->0}}{{<br />
#ifexpr:(( {{{1|7.58}}} round {{{2|-5}}})+1E-9) mod 1E5 < 1000|<!--then show "0"-->0}}{{<br />
#ifexpr:(( {{{1|7.58}}} round {{{2|-5}}})+1E-9) mod 1E5 < 100|<!--then show "0"-->0}}{{<br />
#ifexpr:(( {{{1|7.58}}} round {{{2|-5}}})+1E-9) mod 1E5 < 10|<!--then show "0"-->0}}<!--<br />
<br />
--round remainder-->{{<br />
#ifexpr: {{{2|-5}}} < 1<br />
|<!--then round remainder simply<br />
-->{{#expr:(( {{{1|7.58}}} round {{{2|-5}}})+1E-9) mod 1E5}}<br />
|<!--else use {rnd/-}-->{{rnd/-|{{#expr: ( {{{1|7.58}}}<br />
round {{{2|-5}}})+1E-9) mod 1E5<br />
}}|{{{2|-5}}} }}<!--end {rnd/-}<br />
-->}}<!--endifexpr {2} < 1<br />
<br />
--else-round below 100thousand<br />
-->|{{rnd/-|{{#expr:({{{1|80561.4503}}}) round ({{{2|3}}}) }}|{{#expr:{{{2|3}}} }} }}<!--end rnd/-<br />
<br />
-->}}<!--endif-{1}>100thousand<br />
<br />
-->}}<!--endif {1}>85billion or {2}< -4 --<br />
--><noinclude><!--<br />
-=============================================================<br />
-<br />
-NOTES:<br />
- This Template:Rndpad rounds to 85 billion in 11-digit form,<br />
- and pads any trailing zeroes for round>0. If amount exceeds<br />
- 85 billion or rounding exceeds 100-thousands (< -5) then<br />
- this template invokes [[Template:Rnd]] & allows scientific<br />
- notation for amounts above 85 billion. Otherwise, it rounds<br />
- amounts very quicky, using only the 1 subtemplate {{rnd/-}},<br />
- which ensures pad with trailing zeros in decimals (x.x00).<br />
- The expansion depth is 4 of the 40 expansion depth limit,<br />
- for amounts < 85 billion.<br />
-<br />
- NOTE L1: The limit to upper rounding is -11 for hundreds of<br />
- billions. The max number to still allow padded end-zeroes<br />
- "000" is 85 billion, due to scientific notation being shown<br />
- for the upper half of the digits when more than 85 billion.<br />
- Numbers >99,999 are split by modulo: {1} round {2} mod 1E5.<br />
-<br />
- NOTE N2: For smaller numbers & {2} < 1, {{rndpad}} will use<br />
-- template {{rnd/-}} to pad any trailing decimal zeroes.<br />
-- But, for amounts over 85 billion, using {{rndpad}} will<br />
- invoke up to 9 subtemplates, among the following:<br />
- Template:Order_of_magnitude (view source) (protected)<br />
- Template:Order_of_magnitude/x (view source) (protected)<br />
- Template:Rnd (view source) (protected)<br />
- Template:Rnd/- (view source) (protected)<br />
- Template:Rnd/b1 (view source) (protected)<br />
- Template:Rnd/b-1 (view source) (protected)<br />
- Template:Rnd/c6dec0 (view source) (protected)<br />
- Template:Rnd/c8dec0 (view source) (protected)<br />
- Template:Rnd/d (view source) (protected)<br />
- Template:Rnd/e+ (view source) (protected)<br />
- Those subtemplates might exceed the template-nesting limit,<br />
- such as inside nested infoboxes with 3-level nested-if<br />
- expressions (assuming limit of 40 nested if-expressions).<br />
-<br />
- NOTE F3: The adjustment adds 0.000000001 to fix floor(x).<br />
- The math function floor(x) experiences a bug whenever<br />
- numbers are close to a whole digit, yet floor to 1 less:<br />
- {{#expr: ({{{1|180333}}}round{{{2|-5}}})/100000 }} = 2<br />
- but floor ( ({{{1|180333}}}round{{{2|-5}}})/100000) = 1.<br />
- Even though an amount rounded -5 as 200 thousand & divided<br />
- by 100 thousand, shows as "2", floor of that can be "1".<br />
- That is why 1E-9 (0.000000001) is added to fix floor(x).<br />
- Exact: 2 - (180333 round -5)/10E5 = 2.2204460492503E-16<br />
-<br />
- NOTE R4: Rounding by a rounded count: Parentheses are used<br />
- around the round-digit count to allow an expression, such<br />
- as "( {{{2|0.5 round 0}}} )" to be a rounded count. The<br />
- parentheses ensure the "round 0" will apply to 0.5 as 1,<br />
- rather than have 0.5 enter into the nearby calculation, as<br />
- "4.16 round 0.5 round 0" versus "4.16 round (0.5 round 0)".<br />
- Otherwise, the 1st round has precedence: "4.16 round 0.5".<br />
-<br />
-=============================================================<br />
-HISTORY:<br />
-11Mar10 Created to round to 10 billion as 10 digits, pad end 0.<br />
-11Mar10 Put NOTES comments to explain template coding.<br />
-11Mar10 Put HISTORY comments to log major changes.<br />
-11Mar10 Changed to use {rnd} when round less than -4.<br />
-11Mar10 Changed to round 11-digit form, up to 85 billion.<br />
-20Nov10 Changed to allow round -5 up to xx,951,000 of million.<br />
-11Jan11 Fixed rounded-up portions >999,999 to use {{rnd}}.<br />
-11Jan11 Fixed to split digits >99,999 only after rounding.<br />
-11Jan11 Fixed to put 5 zeroes if any portion rounds > 99,999.<br />
-11Jan11 Fixed to put 5 zeroes if rounding count < -4.<br />
-11Jan11 Fixed floor(x) math bug by adding 1E-9 (0.000000001).<br />
-16Jan11 Fixed for negative exponents, abs(x) < 0.0000001.<br />
-18Jan11 Removed use of {formatnum:} to avoid commas.<br />
-19Jan11 Put many parentheses "()" to round by an expression.<br />
-20Jan11 Put #expr in {rnd/-} parms to cut argument size 60%.<br />
-18Feb11 Fixed for whole billions to allow round -6 to -11.<br />
-20Feb11 Numbers >99,999 are split by: {1} round {2} mod 1E5.<br />
-20Feb11 Fixed rounding bug by: ({1} round {2})+1E-9 mod 1E5.<br />
-20Feb11 Fixed whole 100-thousands "00000" by rounding first.<br />
-20Feb11 Used quick {doc_short} rather than {documentation}.<br />
-<br />
-->{{doc_short}}<br />
<br />
[[Category:2010 Convert unit subtemplates]]<br />
[[Category:Subtemplates of Template Convert]]<br />
</noinclude></div>Ahenket