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

I can tell the difference between round/fix/floor/ceil and can't decide when and how touse them.

[Dyuman Joshi]

You should check out the documentation for those functions, which includes descriptions, examples and information regarding them.

Answer 1

[Sibghat]

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...

[刘奇粟]

thank you very much

[Sibghat]

You are welcome...