Шаблон:Calculate increment

Ҳуҷҷатгузорӣ

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 × 10^{n − 1}
For	1.35 ≤ a	< 3.45	the output is the number 2 × 10^{n − 1}
For	3.45 ≤ a	< 6.95	the output is the number 5 × 10^{n − 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 × 10^3).
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" [1]
"{{calculate increment|10|23}}" gives "1" [2]
"{{calculate increment|10|23.5}}" gives "2" [3]
"{{calculate increment|100|300}}" gives "20" [4]
"{{calculate increment|1010|1030}}" gives "2" [5]
"{{calculate increment|3550|7450}}" gives "500" [6]
"{{calculate increment|101000|889330}}" gives "100000" [7]

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 10^{n − 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 10^{n − 1.}}