CLNG: Difference between revisions

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The [[CLNG]] function rounds decimal point numbers to the nearest [[LONG]] integer value with one exception. If the fraction of the decimal point number is exactly .5, then it is '''always''' rounded to the nearest '''even''' long integer value.
The '''CLNG''' function rounds decimal point numbers to the nearest [[LONG]] integer value with one exception. If the fraction of the decimal point number is exactly .5, then it is '''always''' rounded to the nearest '''even''' long integer value.




Line 38: Line 38:
{{Cl|WIDTH}} {{Text|50|#F580B1}}, {{Text|35|#F580B1}}
{{Cl|WIDTH}} {{Text|50|#F580B1}}, {{Text|35|#F580B1}}
{{Cl|FOR}} f = {{Text|-3.5|#F580B1}} {{Cl|TO}} {{Text|3.5|#F580B1}}
{{Cl|FOR}} f = {{Text|-3.5|#F580B1}} {{Cl|TO}} {{Text|3.5|#F580B1}}
     {{Cl|IF}} f < {{Text|0|#F580B1}} {{Cl|THEN}}
     {{Cl|IF}} f < {{Text|0|#F580B1}} {{Cl|THEN}}
         down$ = {{Text|<nowiki>"towards infinity"</nowiki>|#FFB100}}
         down$ = {{Text|<nowiki>"towards infinity"</nowiki>|#FFB100}}
         up$ = {{Text|<nowiki>"towards zero"</nowiki>|#FFB100}}
         up$ = {{Text|<nowiki>"towards zero"</nowiki>|#FFB100}}

Revision as of 22:25, 7 May 2025

The CLNG function rounds decimal point numbers to the nearest LONG integer value with one exception. If the fraction of the decimal point number is exactly .5, then it is always rounded to the nearest even long integer value.


Syntax

value& = CLNG(expression)


Parameters

  • expression is any type of literal or variable numerical value or mathematical calculation.


Description

Note
  • As given values may be positive or negative and the rounding directions are opposite in each case, we don't speak of rounding up or down. That's elementary school terminology when kids don't know of negative numbers yet.
  • Instead we speak of rounding towards zero or rounding towards infinity, which exactly describes the rounding direction for both, positive and negative numbers.
  • Fractions greater than .5 are rounded to the next integer number towards infinity
  • Fractions lower than .5 are rounded to the next integer number towards zero.
  • Fractions exactly .5 are rounded to the nearest even integer number.
  • Use this function if the decimal point number exceeds the INTEGER range of -32768 to 32767. However, you may generally use it, as it handles normal INTEGERs as well.
  • This function is automatically applied (in the background) to decimal point values, which are given to SUBs or FUNCTIONs requiring LONGs as arguments.


Availability


Examples

Example
Shows how CLNG rounds values depending on the current fraction.
WIDTH 50, 35
FOR f = -3.5 TO 3.5
    IF f < 0 THEN
        down$ = "towards infinity"
        up$ = "towards zero"
    ELSE
        down$ = "towards zero"
        up$ = "towards infinity"
    END IF
    PRINT f - 0.01, CLNG(f - 0.01), down$
    PRINT f, CLNG(f), "to nearest even"
    PRINT f + 0.01, CLNG(f + 0.01), up$
    PRINT
NEXT f


See also



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