Template:Round/doc

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

This template is used on approximately 264,000 pages. To avoid major disruption and server load, any changes should be tested in the template's /sandbox or /testcases subpages, or in your own user subpage. The tested changes can be added to this page in a single edit. Consider discussing changes on the talk page before implementing them.

This template uses Lua: Module:Math (sandbox)

This template rounds parameter 1 by parameter 2 decimal places (goes the other way for negative rounding) and includes trailing zeros.

• {{Round|54.376|2}}     gives 54.38
• {{Round|54.376|-1}}   gives 50
• {{Round|68.4273E12|-10}} gives 6.843×10¹³

For example, rounding by 1 gives 1 decimal digit, rounding by 0 gives integers, or rounding by -2 gives the amount in hundreds. Scientific notation is displayed for numbers greater than or equal to 1×10⁹, or less than 1×10⁻⁴.

Examples:

• {{Round|2.0004|3}} gives 2.000
  • whereas {{#expr:2.0004 round 3}} gives 2
• {{Round|0.000020004|7}} gives 000
• {{Round|0|8}} gives 0.00000000
• {{Round|154268|-3}} gives 154,000
• {{Round|154568|-3}} gives 155,000
• {{Round|1200004|-1}} → 1,200,000
  • whereas {{#expr:1200004round-1}} → 1200000, even though {{#expr:1300004round-1}} → 1300000 (see m:Help:Format produced by expr)
• {{Round|1300004|-1}} → 1,300,000
• {{Round|4.1e6|9}} → 4,100,000.000000000
• {{Round|4.1e6|10}} → 4,100,000.0000000000
• {{Round|1542689271|-7}} → 1.54×10⁹
• {{Round|1542689271|2}} → 1.54268927100×10⁹
• {{Round|7e9|-9}} → 7×10⁹
• {{Round|-123|1}} → −123.0
• {{Round|-1200007|-2}} → −1,200,000
• {{Round|-1234567899|-7}} → −1.23×10⁹

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

• {{Round|1234567890.123456789|10}} → 1.2345678901235×10⁹
• {{Round|123456789.0123456789|10}} → 123,456,789.01235
• {{Round|.0001234567890123456789|20}} → 0.00012345678901235

The second parameter, precision, shoulld be an integer. Non-integer may give unexpected result.

• {{Round|1.234567}} → 1
• {{Round|1.234567|2}} → 1.23
• {{Round|1.234567|2.3}} → 1.2329205947231
• {{Round|1.234567|2.7}} → 1.2350673729657

The markup-based version of Template:Round uses three subtemplates:

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

The Lua-based version of {{Round}} uses Module:Math and always has an expansion depth of 3. However, the markup-based version has an expansion depth of 9–15, which depends on the size of the numbers (integer results use depth 9, decimals use depth 12), where astronomical numbers can hit expansion depth of 15 levels, for {{Round|56.44e33|-32}} → 5.64 × 10³⁴.

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