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Given some lists

lstRow1 = {{"C1", "C2", "C3"}, {1, 2, 3}};
lstRow2 = {{"C2", "D1", "D2"}, {4, 5, 6}};
lstRow3 = {{"C1", "D2", "D3"}, {7, 8, 9}};
lstRow4 = {{}, {}};
lstRow5 = {{"D1", "D2", "E1"}, {10, 11, 12}};
lstRow6 = {{}, {}};

lstHead = {{"C1", "H1"}, {"C2", "H1"}, {"C3", "H1"}, {"D1", 
    "H2"}, {"D2", "H2"}, {"D3", "H2"}, {"E1", "H3"}};

how to build a sparse arrary like this:

lstSparse = {
   {"H1", "0", "0", "H2", "0", "0", "H3"},
   {"C1", "C2", "C3", "D1", "D2", "D3", "E1"}, {1, 2, 3, 0, 0, 0, 
    0}, {0, 4, 0, 5, 6, 0, 0}, {7, 0, 0, 0, 8, 9, 0}, {0, 0, 0, 0, 0, 
    0, 0}, {0, 0, 0, 10, 11, 0, 12}, {0, 0, 0, 0, 0, 0, 0}};

or ZEROs could be replaced by blank string, to be like this. $$\left( \begin{array}{ccccccc} \text{H1} & \text{0} & \text{0} & \text{H2} & \text{0} & \text{0} & \text{H3} \\ \text{C1} & \text{C2} & \text{C3} & \text{D1} & \text{D2} & \text{D3} & \text{E1} \\ 1 & 2 & 3 & 0 & 0 & 0 & 0 \\ 0 & 4 & 0 & 5 & 6 & 0 & 0 \\ 7 & 0 & 0 & 0 & 8 & 9 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 10 & 11 & 0 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \end{array} \right) \to \left( \begin{array}{ccccccc} \text{H1} & \text{} & \text{} & \text{H2} & \text{} & \text{} & \text{H3} \\ \text{C1} & \text{C2} & \text{C3} & \text{D1} & \text{D2} & \text{D3} & \text{E1} \\ 1 & 2 & 3 & \text{} & \text{} & \text{} & \text{} \\ \text{} & 4 & \text{} & 5 & 6 & \text{} & \text{} \\ 7 & \text{} & \text{} & \text{} & 8 & 9 & \text{} \\ \text{} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{} \\ \text{} & \text{} & \text{} & 10 & 11 & \text{} & 12 \\ \text{} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{} \\ \end{array} \right)$$

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1 Answer 1

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rows = {lstRow1, lstRow2, lstRow3, lstRow4, lstRow5, lstRow6};
ac = ArrayComponents[rows[[All, 1]]];
sa = SparseArray[Join @@ (Thread /@ Thread[MapIndexed[{#2[[1]], #} &, ac, {2}] -> 
        rows[[All, 2]]]), {Length@rows, Max@ac}];

sa // MatrixForm // TeXForm

$\left( \begin{array}{ccccccc} 1 & 2 & 3 & 0 & 0 & 0 & 0 \\ 0 & 4 & 0 & 5 & 6 & 0 & 0 \\ 7 & 0 & 0 & 0 & 8 & 9 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 10 & 11 & 0 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \end{array} \right)$

Alternatively, use "" as the background element

sa2 = SparseArray[Join @@ (Thread /@ Thread[MapIndexed[{#2[[1]], #} &, ac, {2}] -> 
            rows[[All, 2]]]), {Length@rows, Max@ac}, ""];
sa2 // MatrixForm // TeXForm

$\left( \begin{array}{ccccccc} 1 & 2 & 3 & \text{} & \text{} & \text{} & \text{} \\ \text{} & 4 & \text{} & 5 & 6 & \text{} & \text{} \\ 7 & \text{} & \text{} & \text{} & 8 & 9 & \text{} \\ \text{} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{} \\ \text{} & \text{} & \text{} & 10 & 11 & \text{} & 12 \\ \text{} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{} \\ \end{array} \right)$

headers = Join @@@ Transpose[PadRight /@ MapIndexed[{{"H" <> ToString[#2[[1]]]}, #} &, 
     GatherBy[DeleteDuplicates[Join @@ rows[[All, 1]]], StringTake[#, 1] &]]]

{{0, "H1", 0, 0, "H2", 0, 0, "H3"}, {0, "C1", "C2", "C3", "D1", "D2", "D3", "E1"}}

Join[headers, sa] // TeXForm

$\left( \begin{array}{ccccccc} \text{H1} & 0 & 0 & \text{H2} & 0 & 0 & \text{H3} \\ \text{C1} & \text{C2} & \text{C3} & \text{D1} & \text{D2} & \text{D3} & \text{E1} \\ 1 & 2 & 3 & 0 & 0 & 0 & 0 \\ 0 & 4 & 0 & 5 & 6 & 0 & 0 \\ 7 & 0 & 0 & 0 & 8 & 9 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 10 & 11 & 0 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \end{array} \right)$

Update: Obtaining header rows from lstHead:

headers2 = {SequenceReplace[#[[1]], {b : (a_String) ..} :> 
     Sequence[a, ## & @@ ConstantArray[0, Length[{b}] - 1]]], #[[2]]} &@
  Reverse[Transpose[lstHead]]

{{"H1", 0, 0, "H2", 0, 0, "H3"}, {"C1", "C2", "C3", "D1", "D2", "D3", "E1"}}

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2
  • $\begingroup$ Thanks! could the values H1`H2`H3 in the head be picked from the original values in lstHead other than generated by codes? $\endgroup$
    – Jerry
    Commented Nov 28, 2018 at 2:55
  • $\begingroup$ @Jerry, thank you for the accept. I will post an update re pulling the first row headers from input data. $\endgroup$
    – kglr
    Commented Nov 28, 2018 at 3:20

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