/// Returns true if the inverse of each element is in the group
bool Group::eachElementHasInverse() const {
// Iterate through all operations, check that the inverse is in the group.
for (auto op = m_allOperations.begin(); op != m_allOperations.end(); ++op) {
if (!containsOperation((*op).inverse())) {
return false;
}
}
return true;
}
/// Returns true if the inverse of each element is in the group
bool Group::eachElementHasInverse() const {
// Iterate through all operations, check that the inverse is in the group.
for (const auto &operation : m_allOperations) {
if (!containsOperation(operation.inverse())) {
return false;
}
}
return true;
}
/// Returns true if the group has the identity element.
bool Group::hasIdentity() const {
// Since the identity element does not change, this is an easy check.
return containsOperation(SymmetryOperation());
}