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Template:Calculate increment
Template Documentation view
Contents
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
{{calculate increment|1|5}}
gives "0.5"{{calculate increment|10|23}}
gives "1"{{calculate increment|10|23.5}}
gives "2"{{calculate increment|100|300}}
gives "20"{{calculate increment|1010|1030}}
gives "2"{{calculate increment|3550|7450}}
gives "500"{{calculate increment|101000|889330}}
gives "100000"
- Technical details
#switch
to determine the correct factor, 1, 2, 5 or 10, then multiplies by 10n − 1.