How to "round" numbers

There is a versatile function in Ax to perform rounding operations: round.
This function rounds the first real argument to the nearest multiple of the second real argument. So plenty of possibilities, for example

round ( 1.2 , 1) equals 1
round ( 1.2 , 5) equals 0
round ( 6.4 , 5) equals 5
round ( 7.5 , 5) equals 10
round ( 1.2 , 0.5) equals 1
round ( 1.12 , 0.1) equals 1.1

If you don't want to work with the multiples of the second argument and instead just want to specify a number of decimals places to round, you can use decround.
This functions rounds the first real argument to the number of decimals specified (second argument). So for example

decround (1.2 , 0) equals 1
decround (1.23 , 0) equals 1
decround (1.23 , 1) equals 1.2
decround (1.25 , 1) equals 1.3

But the second argument can be negative as well. Like this:

decround (123, -2) equals 100


Now for rounding with a little twist: roundup.

If you want to round a number up to the next real value, you can use roundup. This function is the same as the ceiling function from other environments.
Same format as the previous round functions, needing 2 arguments.
So for example

roundup ( 1.23 , 0.1) give as result 1.3
roundup ( 123 , 5) equals 125
roundup ( 123.23 , 5) equals 125
roundup ( 123.23 , 1) equals 124

If that ain't enough, more rounding functions: rounddown and roundzero.
Rounddown rounds your real value always down to the multiple of your second argument.
While roundzero, as the function name says, rounds towards zero.
The difference you can see in the next example:

rounddown (-9 , 5) equals -10
roundzero (-9 , 5) equals -5

 

Jobs with Jimmy_round

static void Jimmy_round(Args _args)
{
;
    print roundUp(26, 5);//26 / 5 = 5.2(6 * 5 unit = 30)直接小数进位加1×单位差
    print 26/5;
    print round(10,4);//(10/4 = 2.5(3 * 4unit = 12)四舍五入×单位差
    print global::roundDown(10,4);//(10/4 = 2.5(2 * 4unit = 8))直接无视小数位×单位差
    print global::roundUpDec(10,4);//右移4位即0.0001，roundUp(10,0.0001) = 10 / 0.0001 *
    print roundUp(10,0.0001);//10 / 0.0001 = 10000,100000 * 0.0001 = 10
    print round(10,1.2);//10 / 1.2 = 8.3 , 8 * 1.2 = 9.6


    print    rounddown(12.86,5);//10
    print    roundup(12.86,5);//15
    print    rounddown(-9.1,-1);//-9
    print    rounddown(-9.1,1);//-10
    print    roundzero(-9,1);//-9
    print    roundzero(14.16,5);//10

    print    frac(12.86);//0.86 截取小数部分
    print    trunc(12.86);//12.00截取整数部分

    pause;

}