Matrix.Sech Method

Overload List

#	Signature	Description
1	function Sech: TMtxVec;	Hyperbolic secant.
	└ indexed: function Sech(Index: Integer; Len: Integer): TMtxVec;
2	function Sech(const X: TMtxVec): TMtxVec;	Calculate the hyperbolic secant for all X object elements and store the results in the calling object.
	└ indexed: function Sech(const X: TMtxVec; XIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Overload 1: function Sech: TMtxVec;

Hyperbolic secant.

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

Remarks:

Calculate the hyperbolic secant of all caling object elements in-place.

Examples

var
    a, expected: Matrix;
begin
    a := [[0.0, 0.5], [1.0, 2.0]];
    a.Sech;
    expected := [[1.0, 0.886818883970074], [0.648054273663885, 0.26580222883408]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.Sech: mismatch');
end;

See Also: Matrix.ArcSech, Matrix.Csch

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

Calculate the hyperbolic secant 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 array borders are overrun.

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

Calculate the hyperbolic secant for all X object 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 calling object are adjusted automatically.

Examples

var
    a, x, expected: Matrix;
begin
    x := [[0.0, 0.5], [1.0, 2.0]];
    a.Sech(x);
    expected := [[1.0, 0.886818883970074], [0.648054273663885, 0.26580222883408]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.Sech: mismatch');
end;

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

Calculate the hyperbolic secant for X object elements [XIndex]..[XIndex+Len-1]. The results are stored in 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 array borders are overrun.