ratio

Syntax

ratio(X, Y) or X\Y

Arguments

X and Y is a scalar/pair/vector/matrix.

If X or Y is a pair/vector/matrix, the other is a scalar or a pair/vector/matrix of the same size.

Details

Returns element-by-element ratio of X to Y. Function ratio always returns floating numbers. If both X and Y are integer/long, ratio converts them into floating numbers and then conduct division. This is different from operator div (/) , which does not convert integer/long to floating numbers. Another difference with div is that Y can be negative integers when X is integer.

Examples

$ 9\2:5;
4.5 : 1.8
$ 11:25\3:4;
3.666667 : 6.25

$ x=1 2 3;
$ x \ 2;
[0.5,1,1.5]
$ 2 \ x;
[2,1,0.666667]

$ y=4 5 6;
$  x \ y;
[0.25,0.4,0.5]
$ y \ x;
[4,2.5,2]

$ m1=1..6$2:3;
$ m1

#0	#1	#2
1	3	5
2	4	6

$  m1\2;

#0	#1	#2
0.5	1.5	2.5
1	2	3

$ m2=6..1$2:3;
$ m2

#0	#1	#2
6	4	2
5	3	1

$ m1\m2;

#0	#1	#2
0.166667	0.75	2.5
0.4	1.333333	6S

$ -7\5;
-1.4
$ x=-1 2 3;
$ x\-5;
[0.2,-0.4,-0.6]