Difference between revisions of "Template:Calculate increment/doc"
imported>Jimp |
imported>WOSlinker (tidy style for better HTML5 compatibility) |
||
| Line 23: | Line 23: | ||
|- | |- | ||
|For | |For | ||
| − | |align | + | | style="text-align:right;" |1 ≤ ''a'' |
|< 1.35 | |< 1.35 | ||
|the output is the number 1 × 10<sup>''n'' − 1</sub> | |the output is the number 1 × 10<sup>''n'' − 1</sub> | ||
|- | |- | ||
|For | |For | ||
| − | |align | + | | style="text-align:right;" |1.35 ≤ ''a'' |
|< 3.45 | |< 3.45 | ||
|the output is the number 2 × 10<sup>''n'' − 1</sub> | |the output is the number 2 × 10<sup>''n'' − 1</sub> | ||
|- | |- | ||
|For | |For | ||
| − | |align | + | | style="text-align:right;" |3.45 ≤ ''a'' |
|< 6.95 | |< 6.95 | ||
|the output is the number 5 × 10<sup>''n'' − 1</sub> | |the output is the number 5 × 10<sup>''n'' − 1</sub> | ||
|- | |- | ||
|For | |For | ||
| − | |align | + | | style="text-align:right;" |6.95 ≤ ''a'' |
|< 10 | |< 10 | ||
|the output is the number 1 × 10<sup>''n''</sub> | |the output is the number 1 × 10<sup>''n''</sub> | ||
Revision as of 09:32, 13 December 2015
| 40px | This is a documentation subpage for Template:Calculate increment. It contains usage information, categories and other content that is not part of the original template page. |
Usage
This template takes two numbers and calculates a suitable increment for {{scalemarkers}} based on the difference between these numbers. Increments are 1, 2 or 5 times an appropriate power of 10.
These numbers, the from value and the to value, are input as unnamed parameters.
{{calculate increment|p1|p2}}
The absolute value, d, of the difference between these is calculated.
- d = | p1 − p2 |
This can be expressed in scientific notation as follows.
- d = a × 10n
Where 1 ≤ a < 10 and n is an integer.
The output of the template is as follows.
For 1 ≤ a < 1.35 the output is the number 1 × 10n − 1 For 1.35 ≤ a < 3.45 the output is the number 2 × 10n − 1 For 3.45 ≤ a < 6.95 the output is the number 5 × 10n − 1 For 6.95 ≤ a < 10 the output is the number 1 × 10n
- Note
- The values are returned as ordinary numbers (for use in other templates) not in scientific notation (e.g. 5000 not 5 × 103).
- The template code actually uses 1.4, 3.5 and 7 as cut offs but these are reduced by 0.05 due to rounding.
- Examples
- Technical details
The main template page calculates d, the absolute value of the difference between the two inputs. Using {{order of magnitude}} the order of magnitude, n, of d is calculated. d and 10n − 1 are sent as parameters 1 and 2 respectively to a subpage, {{calculate increment/calc}}. This subtemplate uses a #switch to determine the correct factor, 1, 2, 5 or 10, then multiplies by 10n − 1.