What's the difference between round/fix/foor and ceil these four functions

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I can tell the difference between round/fix/floor/ceil and can't decide when and how touse them.
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Dyuman Joshi
Dyuman Joshi 2024-3-4
You should check out the documentation for those functions, which includes descriptions, examples and information regarding them.

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Sibghat
Sibghat 2024-3-4
In MATLAB, round, fix, floor, and ceil are all functions used for rounding numbers, but they differ in their behavior:
round: rounds to the nearest integer. If the fractional part is exactly 0.5, it rounds to the nearest even integer. For example:
round(3.5) % Output: 4
round(2.3) % Output: 2
fix: simply truncates the decimal part of the number, essentially removing it and keeping only the integer part.
For example:
fix(3.5) % Output: 3
fix(-3.5) % Output: -3
floor: always rounds down towards the nearest integer. For example:
floor(3.5) % Output: 3
floor(2.1) % Output: 2
floor(-2.1) % Output: -3
ceil: always rounds up towards the nearest integer. For example:
ceil(3.5) % Output: 4
ceil(2.1) % Output: 3
ceil(-2.1) % Output: -2
for negative values, the results appear a bit different for floor and ceil as floor (-2.1) will result in -3 instead of -2 (because -3 is smaller than -2), and ceil(-2.1) will result in -2 instead of -3 (because -2 is greater than -3). In simple words, one gives you the upper conversion of the number, and the other gives you the lower conversion of the number.
Hopefully that will clear your confusion...

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