Predloga:Natančnost

(Preusmerjeno s strani Predloga:Precision)

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Predloga:Natančnost določi natančnost (število decimalk) za katerokoli vrednost, veliko ali negativno, z uporabo hitrega algoritma. Lahko tudi upravlja števila s samo piko (kot "15." ali "-41.") ali vodilne ničle (kot "15.34000" z natančnostjo 5 decimalk). Za vrednosti v ulomku vrne logaritem z bazo 10 števca.

Opomba: vpisati je treba decimalno piko, ne vejice, kot pišemo Slovenci.

PrimeriUredi

{{Natančnost|1111.123456789}} 9
{{Natančnost|1111.12345678}} 8
{{Natančnost|1111.1234567}} 7
{{Natančnost|1111.123456}} 6
{{Natančnost|1111.12345}} 5
{{Natančnost|1111111111.12345678}} 8
{{Natančnost|1111111111.1234567}} 7
{{Natančnost|1111111111.123456}} 6
{{Natančnost|1111111111.12345}} 5
{{Natančnost|1111111111.1234}} 4
{{Natančnost|1111111111.123}} 3
{{Natančnost|1111111111.12}} 2
{{Natančnost|1111111111.1}} 1
{{Natančnost|1111111111.10}} 2
{{Natančnost|1111111111.100}} 3
{{Natančnost|1111111111.1000}} 4
{{Natančnost|1111111111.10000}} 5
{{Natančnost|1111111111}} 0
{{Natančnost|1111111110}} -1
{{Natančnost|1111111100}} -2
{{Natančnost|1111111000}} -3
{{Natančnost|1111110000}} -4
{{Natančnost|1111100000}} -5
{{Natančnost|1111000000}} -6
{{Natančnost|1110000000}} -7
{{Natančnost|1100000000}} -8
{{Natančnost|0}} 0
{{Natančnost|1}} 0
{{Natančnost|22.45}} 2
{{Natančnost|22.12345}} 5
{{Natančnost|22}} 0
{{Natančnost|22000}} -3
{{Natančnost|-15.275}} 3
{{Natančnost|-15.2500}} 4
{{Natančnost|23000222000111.432}} 3
{{Natančnost|-15.123}} 3
{{Natančnost|0.09}} 2
{{Natančnost|0.88}} 2
{{Natančnost|880000}} -4
{{Natančnost|90000000}} -7

Znani hroščiUredi

  • Za števila v znanstvenem zapisu je natančnost pogosto vrnjena za eno decimalko prenizko. Primer: {{natančnost|7.1234E+06}} → -2 (bi morala biti natančnost 4 decimalke, ne 3).
  • Večja števila so omejena na 11 vodilnih ničel, torej za večja števila vrne napačno vrednost. Primer: za {{natančnost|9000000000000}} → -12 vrne natančnost -11 (morala bi biti: -12).

Technical notesUredi

  • NOTE A1: This template determines the precision of decimals by counting the length of the numeric string (in a #switch comparing lengths of padded strings), then subtracting integer length, minus the decimal point, and minus 1 if negative. For integers, 1 place is subtracted for each trailing 0 on the integer. For fractions, any prior count is cleared x 0, then returns the base ten logarithm of denominator: (..prior...)*0 + (ln denom / ln 10).
  • NOTE D2: The check, for whole integers, compares the amount versus appending "0" at the end: when the amount is a decimal, then the value is unchanged by appending 0 at the end: so 5.23 = 5.230 is true, whereas for whole integers, it would be: 5 = 50 as false, due to values becoming n*10 for integer n. So, for integer n, the check rejects: n = n0 as false; hence n is integer.
  • NOTE M3: The magnitude of the integer portion is calculated by logarithm of the floor of absolute value (divided by natural logarithm of 10 to adjust for e=2.71828*), as: ln (floor( abs(-0.050067) )+0.99 )/ln10 Function floor(x) trims the decimal part, to leave the whole count: 0-9 yield 0, 10-19 as 1, 1000-1999 as 3. The abs(x) avoids floor of negatives, floor(-0.1)= -1, hence using abs(x) ensures -0.1 floors to 0 not -1. Near zero, the +0.99 avoids invalid log of 0, but does not round-up any decimals, already floored as nnn.00. Complexity is 6 operations: floor of abs( {1} ) +0.99 then log10x (lnx ÷ ln10), then floor that logarithm ratio. Decimals -1 < x < 1 yield -1, avoiding log 0.001 = -3.
  • NOTE N4: Nesting of if-else and nested templates is kept to a minimum, due to the MediaWiki 1.6 limit of 40 levels of if-logic for all nested templates used together. Template {ordomag} was omitted to avoid 2 more levels of nested templates. Template {Precision} had 8 levels, and this template was trimmed to only 5 levels.
  • NOTE S5: The #switch is run with "x" prepended in front of the amount, otherwise a #switch will compare as numeric where "2" would match "2.0" even though "2" is length 1 so "x2" no longer matches with "x2.0" as non-numeric. The #switch will exit on the first match, so smaller lengths are compared first, to avoid extra comparisons for more rare, longer numeric strings up to 41 long.
  • NOTE W6: The check for integers with whole end-zeroes uses typical n=n/10*10, for each power of 10, where whole millions match: {{#ifexpr: {1}=floor( {1}/1E6 )*1E6| }} Previously, {Precision} had tried to use "round" to detect end-zeroes but "round" loses precision at -5, so, n00000 round -5 differs from n00000 slightly, and comparisons to exact rounded amounts failed to match some numbers when 6 or more zeroes "n000000".
  • NOTE Z7: The check on zero for any .00000 compares adding 1 to the amount, versus appending "1" at the end: if the amount is a decimal, then adding 1 will be larger than appending 1 at the end: 0.00 + 1 > 0.001, whereas for whole zero, it would be: 0+1 > 01 as false, due to the value being the same. So, for integer 0, the check rejects: 0+1 > 01 as false; hence whole 0 is integer.

See alsoUredi