Matrix.Exp Method

Overload List

#	Signature	Description
1	function Exp: TMtxVec;	Exponent (e^).
	└ indexed: function Exp(Index: Integer; Len: Integer): TMtxVec;
2	function Exp(const X: TMtxVec): TMtxVec;	Calculate the exponent (e^) for all X elements and store the results in the calling object.
	└ indexed: function Exp(const X: TMtxVec; XIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Overload 1: function Exp: TMtxVec;

Exponent (e^).

Result: stored in self (calling object), returns self for chaining

Remarks:

Calculate the exponent (e^) for all calling object elements in-place.

Examples

var a,b: Matrix;
begin
    a.SetIt(2,2,False,[1,2,4,8]);
    a.Exp;  //same as:
    a := Exp(a);
    b := Exp(a); //same as:
    b.Exp(a);
end;

var
    a, expected: Matrix;
begin
    a := [[0.0, 1.0], [2.0, 3.0]];
    a.Exp;
    expected := [[1.0, 2.71828182845905], [7.38905609893065, 20.0855369231877]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.Exp: mismatch');
end;

See Also: Matrix.Ln

Indexed: function Exp(Index: Integer; Len: Integer): TMtxVec;

Calculate the exponent (e^) for calling object elements [Index]..[Index+Len-1] in-place.

#	Name	Type	Description
1	Index	Integer	start index
2	Len	Integer	element count

Result: stored in self (calling object), returns self for chaining

Remarks:

An exception is raised if Matrix.ConditionCheck is True and array borders are overrun.

Overload 2: function Exp(const X: TMtxVec): TMtxVec;

Calculate the exponent (e^) for all X elements and store the results in the calling object.

#	Name	Type	Description
1	X	TMtxVec

Result: stored in self (calling object), returns self for chaining

Remarks:

Size and Matrix.Complex properties of the calling Matrix are set implicitly to match the X object.

Examples

var
    a, x, expected: Matrix;
begin
    x := [[0.0, 1.0], [2.0, 3.0]];
    a.Exp(x);
    expected := [[1.0, 2.71828182845905], [7.38905609893065, 20.0855369231877]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.Exp: mismatch');
end;

Indexed: function Exp(const X: TMtxVec; XIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Calculate the exponent (e^) for X elements [XIndex]..[XIndex+Len-1] and store the results in the calling object elements [Index]..[Index+Len-1].

#	Name	Type	Description
1	X	TMtxVec
2	XIndex	Integer	X start index
3	Index	Integer	start index
4	Len	Integer	element count

Result: stored in self (calling object), returns self for chaining

Remarks:

Size and Matrix.Complex properties of the calling object must be set explicitly. An exception is raised if Matrix.ConditionCheck is True and array borders are overrun.