Difference between revisions of "Manuals/calci/FLOOR"
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| − | =FLOOR(number, significance | + | <div style="font-size:30px">'''FLOOR(Number, Significance)'''</div><br/> |
| + | *Where 'Number' is the numeric value to round and | ||
| + | *'Significance' is the multiple to round the number. | ||
| + | **FLOOR() rounds the number down towards zero, to its nearest multiple of significance. | ||
| − | + | == Description == | |
| − | |||
| − | FLOOR() | + | FLOOR(Number, Significance) |
| − | + | For Example, | |
| − | FLOOR( | + | FLOOR (3.5, 2) ''returns 2''. |
| − | + | FLOOR (-4.6, -2) ''returns -4''. | |
| − | FLOOR ( | ||
| − | *Calci returns an error | + | *Calci returns an NaN error message if the argument is nonnumeric. |
| − | *Calci returns an | + | *Calci returns an #ERROR message if 'Number' and 'Significance' have different signs. |
*If the number is an exact multiple of significance, rounding will not be done. Calci will display the same number as output. | *If the number is an exact multiple of significance, rounding will not be done. Calci will display the same number as output. | ||
| + | *If significance value is not mentioned, Calci assumes it to be 1. | ||
| + | *This function can also be used for array of numbers in form of equation as- | ||
| + | |||
| + | a) FLOOR(3.33..6.33,0.1) where x varies from 3.33 to 6.33 and displays output to multiples of 0.1. <br>''Displays 3.3,4.3,5.3,6.3'' as output. | ||
| + | |||
| + | b) 2.5..4.5|FLOOR(x+2,2)| where x varies from 2.5 to 4.5 , <br>adds value 2 and displays output to multiples of 2. ''Displays 4,4,6'' as output. | ||
== Examples == | == Examples == | ||
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{| id="TABLE3" class="SpreadSheet blue" | {| id="TABLE3" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | + | | class=" " | '''Function''' | |
| − | + | | class=" " | '''Output''' | |
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| − | | class=" " | | ||
| − | | class=" " | | ||
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|- class="odd" | |- class="odd" | ||
| − | + | | class="sshl_f" |FLOOR(55.55,5) | |
| − | | class="sshl_f | + | | class="sshl_f" |55 |
| − | |||
| − | |||
| − | |||
| − | | class="sshl_f" | | ||
|- class="even" | |- class="even" | ||
| − | + | | class="sshl_f" |FLOOR(1000.34,3) | |
| − | + | | class="sshl_f" |999 | |
| − | |||
| − | | class="sshl_f" | | ||
| − | | class="sshl_f" | | ||
|- class="odd" | |- class="odd" | ||
| − | + | | class="sshl_f" |FLOOR(22.3) | |
| − | + | | class="sshl_f" |22 | |
| − | |||
| − | | class="sshl_f" | | ||
| − | | class="sshl_f" | | ||
|- class="even" | |- class="even" | ||
| − | + | | class="sshl_f" |FLOOR(-143.56,-1) | |
| − | + | | class="sshl_f" |-143 | |
| − | |||
| − | | class="sshl_f" | | ||
| − | | class="sshl_f" | | ||
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|mJaqx05SOlM|280|center|FLOOR AND CEILING}} | ||
| + | |||
| + | == See Also == | ||
| + | |||
| + | *[[Manuals/calci/CEILING | CEILING]] | ||
| + | |||
| + | *[[Manuals/calci/INT| INT]] | ||
| + | |||
| + | *[[Manuals/calci/ROUND | ROUND]] | ||
| + | |||
| + | *[[Manuals/calci/ROUNDUP | ROUNDUP]] | ||
| + | |||
| + | *[[Manuals/calci/ROUNDDOWN | ROUNDDOWN]] | ||
| + | |||
| + | *[[Manuals/calci/TRUNC| TRUNC]] | ||
| + | |||
| + | ==References== | ||
| + | |||
| + | *[http://en.wikipedia.org/wiki/Rounding#Tie-breaking Rounding] | ||
| + | *[http://http://en.wikipedia.org/wiki/Floor_and_ceiling_functions FLOOR Function] | ||
| + | |||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 17:22, 17 August 2018
FLOOR(Number, Significance)
- Where 'Number' is the numeric value to round and
- 'Significance' is the multiple to round the number.
- FLOOR() rounds the number down towards zero, to its nearest multiple of significance.
Description
FLOOR(Number, Significance)
For Example,
FLOOR (3.5, 2) returns 2.
FLOOR (-4.6, -2) returns -4.
- Calci returns an NaN error message if the argument is nonnumeric.
- Calci returns an #ERROR message if 'Number' and 'Significance' have different signs.
- If the number is an exact multiple of significance, rounding will not be done. Calci will display the same number as output.
- If significance value is not mentioned, Calci assumes it to be 1.
- This function can also be used for array of numbers in form of equation as-
a) FLOOR(3.33..6.33,0.1) where x varies from 3.33 to 6.33 and displays output to multiples of 0.1.
Displays 3.3,4.3,5.3,6.3 as output.
b) 2.5..4.5|FLOOR(x+2,2)| where x varies from 2.5 to 4.5 ,
adds value 2 and displays output to multiples of 2. Displays 4,4,6 as output.
Examples
| Function | Output |
| FLOOR(55.55,5) | 55 |
| FLOOR(1000.34,3) | 999 |
| FLOOR(22.3) | 22 |
| FLOOR(-143.56,-1) | -143 |
Related Videos
See Also
References