Tutorial: Operators and Ext Module

This tutorial will go through the operators and Ext module. The operators in Owl are implemented using functors. However, you do not need to work with functors directly in order to use the operators.

Basic Operators

The operators have been included in each Ndarray and Matrix module. The following table summarises the operators currently implemented in Owl.

Operator	Example	Operation	Dense/Sparse	Ndarray/Matrix
+	x + y	element-wise add	both	both
-	x - y	element-wise sub	both	both
*	x * y	element-wise mul	both	both
/	x / y	element-wise div	both	both
+$	x +$ a	add scalar	both	both
-$	x -$ a	sub scalar	both	both
*$	x *$ a	mul scalar	both	both
/$	x /$ a	div scalar	both	both
$+	a $+ x	scalar add	both	both
$-	a $- x	scalar sub	both	both
$*	a $* x	scalar mul	both	both
$/	a $/ x	scalar div	both	both
=	x = y	comparison	both	both
!=	x != y	comparison	both	both
<>	x <> y	same as !=	both	both
>	x > y	comparison	both	both
<	x < y	comparison	both	both
>=	x >= y	comparison	both	both
<=	x <= y	comparison	both	both
=.	x =. y	comparison	Dense	both
!=.	x !=. y	comparison	Dense	both
<>.	x <>. y	same as !=.	Dense	both
>.	x >. y	comparison	Dense	both
<.	x <. y	comparison	Dense	both
>=.	x >=. y	comparison	Dense	both
<=.	x <=. y	comparison	Dense	both
**	x ** y	power function	Dense	both
*@	x *@ y	matrix multiply	both	Matrix