Ceil

A function common to many programming languages that returns the next integer value by rounding the value up if necessary.

Floor

A function common to many programming languages that returns the next lowest integer value by rounding the value down if necessary.



Fractions direction std

Example

"Now if floor is higher than 0 or ceil is lower than 0 on any axis it means that there just as many tiles outside of the camera scoop"

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Optimizing a simple 2D Tile engine (+potential bugfix)

"So floor idx is the lower element and ceil idx is the higher"

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To find an element with nearest lower and greater value in MATLAB

"On the other hand if what you want to do is not rounding but elimination of fractions into one direction then you have std ceil that goes always higher and std floor that always goes lower"

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How to round off the totalcost (double) to nearest inetegrs

Others

Example

The floor times the ceil are greater than the floor xy...that s very much possible

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Proving with floor and ceiling functions formally for computer scientists

Works because ceil a b is always one greater than floor a b except when a b is a whole number

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Java rounding up to an int using Math.ceil

5 so you have to print 1 as floor and 10 as ceil then array becomes 2 so print 1 as floor and 5 as ceil and array becomes like this m queries are given

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Finding floor and ceil of every element after inserted into array efficiently

But full floating point division and ceil is more expensive than necessary;instead since c defines integer division as a floor operation you can add the divisor - 1 before dividing to the get the effect of a ceiling operation

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Practice computing grid size for CUDA

A simple function to follow would be if greater than 0 floor else ceil using a multiplier to raise greater than 0 floor above the decimal point temporarily whilst doing it

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Delete digits after two decimal points, without rounding the value

To stop the confusion on this page actually this is the best answer which is fast and works for both positive and negative values of x i ran speed tests of 10 million computations on php 7.2.15 and even though both solutions give the same results fmod is slower than floor ceil

from question  

What's the best way to get the fractional part of a float in PHP?

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