Difference between revisions of "Template:Rnd/doc"

Revision as of 09:16, 13 December 2012

This is a documentation subpage for Template:Rnd. It contains usage information, categories and other content that is not part of the original template page.

Usage

This template rounds {{{1}}} to {{{2}}} decimal places (goes the other way for negatives) and includes trailing zeros. Scientific notation is used for numbers greater than or equal to 1×10^{Template:Val/delimitnum}, or less than 1×10^{Template:Val/delimitnum}.

Compare:

• {{rnd|2.0004|3}} gives 2.000
  • whereas {{#expr:2.0004 round 3}} gives 2
• {{rnd|0.000020004|7}} gives 2.00×10⁻⁵
• {{rnd|0|8}} gives 0.00000000
• {{rnd|154268|-3}} gives 154,000
• {{rnd|1200004|-1}} → 1,200,000
  • whereas {{#expr:1200004round-1}} → 1200000, even though {{#expr:1300004round-1}} → 1300000 (see m:Help:Format produced by expr)
• {{rnd|1300004|-1}} → 1,300,000
• {{rnd|4.1e6|9}} → 4,100,000.000000000
• {{rnd|4.1e6|10}} → 4,100,000.0000000000
• {{rnd|1542689271|-7}} → 1.54×10⁹
• {{rnd|1542689271|2}} → 1.542689271×10⁹
• {{rnd|7e9|-9}} → 7×10⁹
• {{rnd|-123|1}} → −123.0
• {{rnd|-1200007|-2}} → −1,200,000
• {{rnd|-1234567899|-7}} → −1.23×10⁹

As with #expr, the total number of significant digits is not more than 14:

• {{rnd|1234567890.123456789|10}} → 1.2345678901235×10⁹
• {{rnd|123456789.0123456789|10}} → 123,456,789.0123500000
• {{rnd|.0001234567890123456789|20}} → 0.00012345678901235

Internal details

The template uses three subtemplates:

• {{rnd/-}} — for trailing zeros
• {{rnd/e+}} — for scientific notation for numbers greater than or equal to 10⁹ or less than or equal to −10⁹
• {{rnd/e−}} — for scientific notation for numbers greater than −10⁻⁴ and less than 10⁻⁴ but not equal to zero

See also

• {{rndfrac}}
• {{rndnear}}
• {{rndgaps}}