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# comparison

comparison, relational operators

### Syntax

a==b a~=b or a<>b a<b a<=b a>b a>=b

### Arguments

- a
any type of variable for

`a==b`

,`a~=b`

`a<>b`

equality comparisons and restricted to real floating point and integer array for order related comparisons`a<b`

,`a<=b`

,`a>b`

,`a>=b`

.- b
any type of variable for

`a==b`

,`a~=b`

`a<>b`

equality comparisons and restricted to real floating point and integer arrays for order related comparisons`a<b`

,`a<=b`

,`a>b`

,`a>=b`

.

### Description

Two classes of operators have to be distinguished:

- The equality and inequality comparisons:
`a==b`

,`a~=b`

(or equivalently`a<>b`

). These operators apply to any type of operands.- The order related comparisons:
`a<b`

,`a<=b`

,`a>b`

,`a>=b`

. These operators apply only to real floating point and integer arrays.

The semantics of the comparison operators also depend on the operands types:

- With array variables
like floating point and integer arrays, logical arrays, string arrays, polynomial and rational arrays, handle arrays, lists... the following rules apply:

If

`a`

and`b`

evaluates as arrays with same types and identical dimensions, the comparison is performed element by element and the result is an array of booleans of the same size.If

`a`

and`b`

evaluates as arrays with same types, but`a`

or`b`

is a scalar, then the scalar is compared with each element of the other array. The result is an array of booleans of the size of the non scalar operand.If

`a`

or`b`

are arrays, but one of them is empty, then an equality or an inequality comparison is possible. In this case, the result is a scalar boolean.In the others cases the result is the boolean

`%f`

If the operand data types are different but "compatible" like floating points and integers, then a type conversion is performed before the comparison.

- With other type of operands
like

`function`

,`libraries`

, the result is`%t`

if the objects are identical and`%f`

in the other cases.Equality comparison between operands of incompatible data types returns

`%f`

.

### Examples

//element wise comparisons (1:5)==3 (1:5)<=4 (1:5)<=[1 4 2 3 0] 1<[] list(1,2,3)~=list(1,3,3) "foo"=="bar" sparse([1,2;4,5;3,10],[1,2,3]) == sparse([1,2;4,5;3,10],[1,2,3]) //object wise comparisons (1:10)==[4,3] 'foo'==3 1==[] list(1,2,3)==1 isequal(list(1,2,3),1) isequal(1:10,1) //comparison with type conversion int32(1)==1 int32(1)<1.5 int32(1:5)<int8(3) p=poly(0,'s','c') p==0 p/poly(1,'s','c')==0

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