why matrix needs to have a numerical value?

[telephon]

See: ambisonictoolkit/atk-sc3#132

Let's relax the constraint in the Matrix class (MathLib) that values must be numbers. Since sclang automatically lifts math operations to UGens, it seems overly narrow.

EDIT: I've made a ticklist for methods that work with UGens, Arrays, and Functions as matrix entries, from inspecting the code.

class methods

• *newClear (rows, cols)
• *with (array)
• *withFlatArray (rows, cols, array)
• *newIdentity (n)
• *fill (rows, cols, func)
• *newDiagonal (diagonal)
• *newDFT (n)
• *newIDFT (n)
• *mul (m1, m2)

instance methods

• rows ()
• cols ()
• shape ()
• printOn (stream)
• printItemsOn (stream)
• postmln ()
• at (row, col)
• get (row, col)
• put (row, col, val)
• putRow (row, vals)
• putCol (col, vals)
• fillRow (row, func)
• fillCol (col, func)
• exchangeRow (posA, posB)
• exchangeCol (posA, posB)
• collect (func)
• addRow (rowVals)
• insertRow (col, rowVals)
• addCol (colVals)
• insertCol (row, colVals)
• getRow (row)
• getCol (col)
• getDiagonal ()
• fromRow (row)
• fromCol (col)
• removeRow (row)
• removeAt (row)
• removeCol (col)
• doRow (row, func)
• doCol (col, func)
• doMatrix (function)
• rowsDo (func)
• colsDo (func)
• sub (row, col)
• getSub (rowStart, colStart, rowLength, colHeight)
• postSub (rowStart, colStart, rowLength, colHeight, round)
• asArray ()
• flat ()
• flatten ()
• flop ()
• mul (multplier2)
• * (that)
• mulMatrix (aMatrix)
• mulNumber (aNumber)
• + (summand2)
• addNumber (aNumber)
• - (summand2)
• subNumber (aNumber)
• == (matrix2)
• det ()
• cofactor (row, col)
• adjoint ()
• inverse ()
• gram ()
• grammian ()
• pseudoInverse ()
• trace ()
• norm ()
• sum ()
• sumRow (row)
• sumCol (col)
• isSquare ()
• isSingular ()
• isRegular ()
• isSymmetric ()
• isAntiSymmetric ()
• isPositive ()
• isNonNegative ()
• isNormal ()
• isZero ()
• isIntegral ()
• isIdentity ()
• isDiagonal ()
• isOrthogonal ()
• isIdempotent ()
• sumCols (function)
• sumRows (function)
• mean ()
• center (mean)
• cov (mean)
• covML (mean)

Extensions

• solve (b, method)
• lowerTriangularSolve (b)
• unitLowerTriangularSolve (b)
• lowerTriangularInverse ()
• unitLowerTriangularInverse ()
• upperTriangularSolve (b)
• unitUpperTriangularSolve (b)
• upperTriangularInverse ()
• unitUpperTriangularInverse ()
• gauss (b)
• choleski ()
• choleskiSolve (b)
• crout ()
• croutSolve (b)
• croutPivot ()
• croutPivotSolve (b, pivot)
• doolittle ()
• doolittleSolve (b)
• doolittlePivot ()
• doolittlePivotSolve (b, pivot)