[Cyan]<ISLCedar>Math>LinearSystem.mesa!1

LinearSystem.mesa

Last edited by Maureen Stone 19-Oct-81 16:42:28

Written by Michael Plass, 8-Oct-81

LinearSystem: DEFINITIONS =

BEGIN

Real0: TYPE = REAL ← 0;

Catch the signal Real.RealException to detect singular or unstable systems, e.g.,

singular:BOOLEAN ← FALSE;

x ← LinearSystem.Solve3[A,b!

Real.RealException => {singular←TRUE;CONTINUE}];

IF NOT singular THEN ...

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.