MtxExpr.Add Method

MtxExpr

Overload List

#SignatureDescription
1function Add(const X: TMtx; const Y: TMtxVec; const Z: TCplx): Matrix;Result = X + Y + zScalar, where X is a Matrix
2function Add(const X: TMtx; const Y: TMtxVec; const Z: TMtxVec): Matrix;Result = X + Y + Z, where X is a Matrix
3function Add(const X: TMtx; const Y: TMtxVec; const Z: Double): Matrix;Result = X + Y + zScalar, where X is a Matrix
4function Add(const X: TVec; const Y: TMtxVec; const Z: TCplx): Vector;Result = X + Y + zScalar
5function Add(const X: TVec; const Y: TMtxVec; const Z: TMtxVec): Vector;Result = X + Y + Z
6function Add(const X: TVec; const Y: TMtxVec; const Z: Double): Vector;Result = X + Y + zScalar

Overload 1: function Add(const X: TMtx; const Y: TMtxVec; const Z: TCplx): Matrix;

Compute X + Y + zScalar, where X is a Matrix.

#NameTypeDescription
1XTMtx
2YTMtxVec
3ZTCplx

Returns: Matrix

Overload 2: function Add(const X: TMtx; const Y: TMtxVec; const Z: TMtxVec): Matrix;

Compute X + Y + Z, where X is a Matrix.

#NameTypeDescription
1XTMtx
2YTMtxVec
3ZTMtxVec

Returns: Matrix

Overload 3: function Add(const X: TMtx; const Y: TMtxVec; const Z: Double): Matrix;

Compute X + Y + zScalar, where X is a Matrix.

#NameTypeDescription
1XTMtx
2YTMtxVec
3ZDouble

Returns: Matrix

Overload 4: function Add(const X: TVec; const Y: TMtxVec; const Z: TCplx): Vector;

Compute X + Y + zScalar

#NameTypeDescription
1XTVec
2YTMtxVec
3ZTCplx

Returns: Vector

Overload 5: function Add(const X: TVec; const Y: TMtxVec; const Z: TMtxVec): Vector;

Compute X + Y + Z

#NameTypeDescription
1XTVec
2YTMtxVec
3ZTMtxVec

Returns: Vector

Remarks:

Computes the sum of three vector-based operands, X, Y, and Z, without creating temporary objects.

Examples
uses MtxVec, MtxExpr, Math387;

var
    X, Y, Z, A1, A2, A3: Vector;
begin
    X := [1,2,3,4];
    Y := [2,3,4,5];
    Z := [3,4,5,6];
    A1 := X + Y + Z;
    A2 := Add(X, Y, Z);
    A3.Add(X, Y, Z);
    if not A2.IsEqual(A1) then ERaise('Problem');
    if not A3.IsEqual(A1) then ERaise('Problem');
end;

Overload 6: function Add(const X: TVec; const Y: TMtxVec; const Z: Double): Vector;

Compute X + Y + zScalar

#NameTypeDescription
1XTVec
2YTMtxVec
3ZDouble

Returns: Vector

Remarks:

Computes the sum of X and Y with an added scalar zScalar without temporary objects.

Examples
uses MtxVec, MtxExpr, Math387;

var
    X, Y, A1, A2, A3: Vector;
    zScalar: Double;
begin
    zScalar := 3.0;
    X := [1,2,3,4];
    Y := [2,3,4,5];
    A1 := X + Y + zScalar;
    A2 := Add(X, Y, zScalar);
    A3.Add(X, Y, zScalar);
    if not A2.IsEqual(A1) then ERaise('Problem');
    if not A3.IsEqual(A1) then ERaise('Problem');
end;