====== Reverse ======

----
====Description====
  * ''Reverse[type]'' reverses the order of matrices of specified ''type''. 

  * ''Reverse[type1, type2, ...]'' reverses the order of matrices of types ''type1'', ''type2'', ... in expressions.
 ====Examples====
----
Reverse product of matrices:
<sxh groovy; gutter: true>
defineMatrices 'A', 'B', 'C', Matrix1.matrix
def t = 'A*B*C'.t
println t
</sxh>
<sxh plain; gutter: false>
   > A*B*C
</sxh>
<sxh groovy; gutter: true; first-line: 4>
println Reverse[Matrix1] >> t
</sxh>
<sxh plain; gutter: false>
   > C*B*A
</sxh>
----
Reverse does not affect traces:
<sxh groovy>
defineMatrices 'A', 'B', 'C', Matrix1.matrix
println Reverse[Matrix1]  >> 'Tr[A*B*C]'.t
</sxh>
<sxh plain; gutter: false>
   > Tr[A*B*C]
</sxh>
----
Reverse with respect to several types of matrices:
<sxh groovy; gutter: true>
defineMatrices 'G_a', Matrix1.matrix, 'U_a', Matrix2.matrix
def t = 'G_a*G_b*U_m*U_n'.t
println Reverse[Matrix1, Matrix2] >> t
</sxh>
<sxh plain; gutter: false>
   > G_b*G_a*U_n*U_m
</sxh>

====See also====
  * Related guides: [[documentation:guide:applying_and_manipulating_transformations]], [[documentation:guide:setting_up_matrix_objects]], [[documentation:guide:list_of_transformations]]
  * JavaDocs: [[http://api.redberry.cc/redberry/1.1.9/java-api/cc/redberry/core/transformations/reverse/ReverseTransformation.html| ReverseTransformation]]
  * Source code: [[https://bitbucket.org/redberry/redberry/src/tip/core/src/main/java/cc/redberry/core/transformations/reverse/ReverseTransformation.java|ReverseTransformation.java]]