<> <> <> LinearSystem: DEFINITIONS = BEGIN Real0: TYPE = REAL _ 0; <> <> <> < {singular_TRUE;CONTINUE}];>> <> VecSeq: TYPE = RECORD[SEQUENCE ncols: INTEGER OF Real0]; RowN: TYPE = REF VecSeq; MatrixSeq: TYPE = RECORD[SEQUENCE nrows: INTEGER OF RowN]; MatrixN: TYPE = REF MatrixSeq; ColumnN: TYPE = REF VecSeq; SolveN: PROCEDURE [A:MatrixN, b:ColumnN, n: INTEGER] RETURNS [x:ColumnN] ; -- solves Ax=b Matrix2: TYPE = ARRAY [1..2] OF Row2; Row2: TYPE = ARRAY [1..2] OF REAL; Column2: TYPE = ARRAY [1..2] OF Real0; Solve2: PROCEDURE [A:Matrix2, b:Column2] RETURNS [x:Column2] ; -- solves Ax=b Matrix3: TYPE = ARRAY [1..3] OF Row3; Row3: TYPE = ARRAY [1..3] OF REAL; Column3: TYPE = ARRAY [1..3] OF Real0; Solve3: PROCEDURE [A:Matrix3, b:Column3] RETURNS [x:Column3] ; -- solves Ax=b Matrix4: TYPE = ARRAY [1..4] OF Row4; Row4: TYPE = ARRAY [1..4] OF REAL; Column4: TYPE = ARRAY [1..4] OF Real0; Solve4: PROCEDURE [A:Matrix4, b:Column4] RETURNS [x:Column4] ; -- solves Ax=b Matrix5: TYPE = ARRAY [1..5] OF Row5; Row5: TYPE = ARRAY [1..5] OF REAL; Column5: TYPE = ARRAY [1..5] OF Real0; Solve5: PROCEDURE [A:Matrix5, b:Column5] RETURNS [x:Column5] ; -- solves Ax=b Matrix6: TYPE = ARRAY [1..6] OF Row6; Row6: TYPE = ARRAY [1..6] OF REAL; Column6: TYPE = ARRAY [1..6] OF Real0; Solve6: PROCEDURE [A:Matrix6, b:Column6] RETURNS [x:Column6] ; -- solves Ax=b END.