Square Cup (⊔)

⊔ 𝕩: Group Indices

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Group the indices of the major cells of 𝕩 by their respective values.

𝕩 must consist of integers. Groups start from 0.

    ⊔ 4‿5‿6‿6‿4‿7‿5
⟨ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨ 0 4 ⟩ ⟨ 1 6 ⟩ ⟨ 2 3 ⟩ ⟨ 5 ⟩ ⟩

    (↕8) ≍ ⊔ 4‿5‿6‿6‿4‿7‿5
┌─                                           
╵ 0  1  2  3  4       5       6       7      
  ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨ 0 4 ⟩ ⟨ 1 6 ⟩ ⟨ 2 3 ⟩ ⟨ 5 ⟩  
                                            ┘

𝕨 ⊔ 𝕩: Group

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Group the major cells of 𝕩 by their respective indices in 𝕨.

If an element corresponds to ¯1, it is excluded from grouping.

An extra element can be added to the end of 𝕨 to specify length of the result.

    1‿0‿1‿2‿2‿3‿3  ⊔ 4‿5‿6‿6‿4‿7‿5
⟨ ⟨ 5 ⟩ ⟨ 4 6 ⟩ ⟨ 6 4 ⟩ ⟨ 7 5 ⟩ ⟩

    1‿0‿1‿¯1‿¯1‿3‿3  ⊔ 4‿5‿6‿6‿4‿7‿5
⟨ ⟨ 5 ⟩ ⟨ 4 6 ⟩ ⟨⟩ ⟨ 7 5 ⟩ ⟩

    1‿0‿1‿¯1‿¯1‿3‿3‿10  ⊔ 4‿5‿6‿6‿4‿7‿5
⟨ ⟨ 5 ⟩ ⟨ 4 6 ⟩ ⟨⟩ ⟨ 7 5 ⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟩