<<>> <> <> <> <> <> <> <> LinearSystem: CEDAR 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 <> Invert: PROCEDURE [a: MatrixN] RETURNS [ai: MatrixN]; Determinant: PROC[a: MatrixN] RETURNS [det: REAL]; Transpose: PROCEDURE [a: MatrixN] RETURNS [transpose: MatrixN]; Multiply: PROCEDURE [a: MatrixN, b: MatrixN] RETURNS [c: MatrixN]; MultiplyVec: PROC[a: MatrixN, v: ColumnN] RETURNS [c: RowN]; Create: PROC [nrows, ncols: INTEGER] RETURNS [a: MatrixN]; Copy: PROC [a: MatrixN] RETURNS[MatrixN]; Matrix2: TYPE = ARRAY [0..2) OF Row2; Row2: TYPE = ARRAY [0..2) OF REAL; Column2: TYPE = ARRAY [0..2) OF Real0; Solve2: PROCEDURE [A:Matrix2, b:Column2] RETURNS [x:Column2] ; -- solves Ax=b Matrix3: TYPE = ARRAY [0..3) OF Row3; Row3: TYPE = ARRAY [0..3) OF REAL; Column3: TYPE = ARRAY [0..3) OF Real0; Solve3: PROCEDURE [A:Matrix3, b:Column3] RETURNS [x:Column3] ; -- solves Ax=b Matrix4: TYPE = ARRAY [0..4) OF Row4; Row4: TYPE = ARRAY [0..4) OF REAL; Column4: TYPE = ARRAY [0..4) OF Real0; Solve4: PROCEDURE [A:Matrix4, b:Column4] RETURNS [x:Column4] ; -- solves Ax=b Matrix5: TYPE = ARRAY [0..5) OF Row5; Row5: TYPE = ARRAY [0..5) OF REAL; Column5: TYPE = ARRAY [0..5) OF Real0; Solve5: PROCEDURE [A:Matrix5, b:Column5] RETURNS [x:Column5] ; -- solves Ax=b Matrix6: TYPE = ARRAY [0..6) OF Row6; Row6: TYPE = ARRAY [0..6) OF REAL; Column6: TYPE = ARRAY [0..6) OF Real0; Solve6: PROCEDURE [A:Matrix6, b:Column6] RETURNS [x:Column6] ; -- solves Ax=b END.