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The following table lists helper functions in LatticeExprNode and their uses for creating appropriate nodes in the tree.
| LatticeExprNode | Reason |
| function | |
| newNumUnary | Create a new node for a numerical unary operation. |
| The result has the same data type as the input | |
| newNumBinary | Create a new node for a numerical binary operator. |
| The result has the same data type as the combined input type. | |
| newBinaryCmp | Create a new node for a comparison binary operator. |
| The result has the same data type as the combined input type. | |
| newNumFunc1D | Create a new node for a numerical function with 1 argument. |
| The result has the same data type as the input. | |
| newRealFunc1D | Create a new node for a real numerical function with 1 |
| argument. The result has the same data type as the input. | |
| newComplexFunc1D | Create a new node for a complex numerical function with 1 |
| argument. The result has the same data type as the input. | |
| newNumReal1D | Create a new node for a real numerical function with 1 |
| argument. The resultant type is non-complex | |
| newNumFunc2D | Create a new node for a numerical function with 2 arguments. |
| The result has the same data type as the combined input type. |