(swsym-genreduce)=

# swsym.genreduce

## Syntax
  
`[symOpG, isGen] = swsym.genreduce(symOp)`
  
## Description
  
`[symOpG, isGen] = swsym.genreduce(symOp)` takes the list of symmetry
operators in `symOp` and determines a minimum subset of operators that
can generate the given list.
  
## Input Arguments
  
`symOp`
: Matrix that contains both the rotation and translation matrices
  having dimensions of $[3\times 4\times n_{sym}]$, where the
  `symMat(:,4,:)` stores the translation vectors, while the
  `symMat(:,1:3,:)` stores the $3\times 3$ rotation matrices.
  
## Output Arguments
  
`symOpG`
: A set of operators, that can generate all the operators of the input.
 
`isGen`
: Vector, that gives whether a given input operator is part of
  the generators, dimensions are $[1\times n_{sym}]$.
  
## See Also
  
[swsym.add](#swsym-add) \| [swsym.generator](#swsym-generator) \| [swsym.operator](#swsym-operator)