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An ACS library for ZDoom-based ports

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rounding [2017/06/12 18:59] – korshunrounding [2019/04/18 21:43] – korshun
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-===== Rounding =====+===== Rounding functions ===== 
 + 
 +ACSUtils provides a full set of functions to round fixed-point numbers to integers.
  
 There are four rounding modes: There are four rounding modes:
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   * ''round'' -- rounds the number to the closest integer   * ''round'' -- rounds the number to the closest integer
  
-Rounding table:+Example rounding table:
  
 ^  x   ^ round(x) ^ floor(x) ^ ceil(x) ^ trunc(x) ^ ^  x   ^ round(x) ^ floor(x) ^ ceil(x) ^ trunc(x) ^
-^   2.3|         2|         2|        3|         2| +^   1.3|         1|         1|        2|         1| 
-^   3.8|         4|         3|        4|         3| +^   1.5|         2|         1|        2|         1| 
-^   5.5|         6|         5|        6|         5| +^   1.8|         2|         1|        2|         1| 
-^  -2.3|        -2|        -3|       -2|        -2| +^  -1.3|        -1|        -2|       -1|        -1| 
-^  -3.8|        -4|        -4|       -3|        -3| +^  -1.5|        -1|        -2|       -1|        -1| 
-^  -5.5|        -5|        -6|       -5|        -5|+^  -1.8|        -2|        -2|       -1|        -1|
  
 Every rounding mode is available as two functions. The ones with the ''i'' prefix in the name return an integer, while the ones without return a fixed-point number: Every rounding mode is available as two functions. The ones with the ''i'' prefix in the name return an integer, while the ones without return a fixed-point number:
  
 ^ Mode  ^ as fixed ^ as int ^ ^ Mode  ^ as fixed ^ as int ^
-^ floor | [[functions:floor|floor()]] | [[functions:ifloor|ifloor()]] | +^ floor | ''floor()'' | ''ifloor()'' | 
-^ ceil  | [[functions:ceil|ceil()]] | [[functions:iceil|iceil()]] | +^ ceil  | ''ceil()'' | ''iceil()'' | 
-^ round | [[functions:round|round()]] | [[functions:iround|iround()]] | +^ round | ''round()'' | ''iround()'' | 
-^ trunc | [[functions:trunc|trunc()]] | [[functions:itrunc|itrunc()]] |+^ trunc | ''trunc()'' | ''itrunc()'' | 
 + 
 +Example of the difference between ''i'' and non-''i'' functions: 
 + 
 +  * ''floor(2.3) == 2.0;'' 
 +  * ''ifloor(2.3) == 2;'' 
 + 
 +So the full function list is as follows:
  
 +  * ''fixed floor(fixed x)''
 +  * ''fixed ceil(fixed x)''
 +  * ''fixed round(fixed x)''
 +  * ''fixed trunc(fixed x)''
 +  * ''int ifloor(fixed x)''
 +  * ''int iceil(fixed x)''
 +  * ''int iround(fixed x)''
 +  * ''int itrunc(fixed x)''
rounding.txt · Last modified: 2019/08/26 21:02 by korshun

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