Function datafusion::physical_expr::intervals::cp_solver::propagate_comparison

pub fn propagate_comparison(
    op: &Operator,
    parent: &Interval,
    left_child: &Interval,
    right_child: &Interval,
) -> Result<Option<(Interval, Interval)>, DataFusionError>

This function refines intervals left_child and right_child by applying comparison propagation through parent via operation. The main idea is that we can shrink ranges of variables x and y using parent interval p. Two intervals can be ordered in 6 ways for a Gt > operator:

                          (1): Infeasible, short-circuit
left:   |        ================                                               |
right:  |                           ========================                    |

                            (2): Update both interval
left:   |              ======================                                   |
right:  |                             ======================                    |
                                         |
                                         V
left:   |                             =======                                   |
right:  |                             =======                                   |

                            (3): Update left interval
left:   |                  ==============================                       |
right:  |                           ==========                                  |
                                         |
                                         V
left:   |                           =====================                       |
right:  |                           ==========                                  |

                            (4): Update right interval
left:   |                           ==========                                  |
right:  |                   ===========================                         |
                                         |
                                         V
left:   |                           ==========                                  |
right   |                   ==================                                  |

                                  (5): No change
left:   |                       ============================                    |
right:  |               ===================                                     |

                                  (6): No change
left:   |                                    ====================               |
right:  |                ===============                                        |

        -inf --------------------------------------------------------------- +inf