Documentation

Batteries.Data.Array.Merge

def Array.merge {α : Type u_1} (lt : ααBool) (xs ys : Array α) :

O(|xs| + |ys|). Merge arrays xs and ys. If the arrays are sorted according to lt, then the result is sorted as well. If two (or more) elements are equal according to lt, they are preserved.

Equations
    Instances For
      @[irreducible]
      def Array.merge.go {α : Type u_1} (lt : ααBool) (xs ys acc : Array α) (i j : Nat) :

      Auxiliary definition for merge.

      Equations
        Instances For
          def Array.mergeDedupWith {α : Type u_1} [ord : Ord α] (xs ys : Array α) (merge : ααα) :

          O(|xs| + |ys|). Merge arrays xs and ys, which must be sorted according to compare and must not contain duplicates. Equal elements are merged using merge. If merge respects the order (i.e. for all x, y, y', z, if x < y < z and x < y' < z then x < merge y y' < z) then the resulting array is again sorted.

          Equations
            Instances For
              @[irreducible]
              def Array.mergeDedupWith.go {α : Type u_1} [ord : Ord α] (xs ys : Array α) (merge : ααα) (acc : Array α) (i j : Nat) :

              Auxiliary definition for mergeDedupWith.

              Equations
                Instances For
                  @[inline]
                  def Array.mergeDedup {α : Type u_1} [ord : Ord α] (xs ys : Array α) :

                  O(|xs| + |ys|). Merge arrays xs and ys, which must be sorted according to compare and must not contain duplicates. If an element appears in both xs and ys, only one copy is kept.

                  Equations
                    Instances For
                      def Array.mergeUnsortedDedup {α : Type u_1} [eq : BEq α] (xs ys : Array α) :

                      O(|xs| * |ys|). Merge xs and ys, which do not need to be sorted. Elements which occur in both xs and ys are only added once. If xs and ys do not contain duplicates, then neither does the result.

                      Equations
                        Instances For
                          @[inline]
                          def Array.mergeUnsortedDedup.go {α : Type u_1} [eq : BEq α] (xs ys : Array α) :

                          Auxiliary definition for mergeUnsortedDedup.

                          Equations
                            Instances For
                              def Array.mergeAdjacentDups {α : Type u_1} [eq : BEq α] (f : ααα) (xs : Array α) :

                              O(|xs|). Replace each run [x₁, ⋯, xₙ] of equal elements in xs with f ⋯ (f (f x₁ x₂) x₃) ⋯ xₙ.

                              Equations
                                Instances For
                                  @[irreducible]
                                  def Array.mergeAdjacentDups.go {α : Type u_1} [eq : BEq α] (f : ααα) (xs acc : Array α) (i : Nat) (hd : α) :

                                  Auxiliary definition for mergeAdjacentDups.

                                  Equations
                                    Instances For
                                      def Array.dedupSorted {α : Type u_1} [eq : BEq α] (xs : Array α) :

                                      O(|xs|). Deduplicate a sorted array. The array must be sorted with to an order which agrees with ==, i.e. whenever x == y then compare x y == .eq.

                                      Equations
                                        Instances For
                                          def Array.sortDedup {α : Type u_1} [ord : Ord α] (xs : Array α) :

                                          O(|xs| log |xs|). Sort and deduplicate an array.

                                          Equations
                                            Instances For