Matrix.Sec Method

Overload List

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

Overload 1: function Sec: TMtxVec;

Secant.

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

Remarks:

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

Examples

var a: Matrix;
begin
    a.SetIt(1,2,True,[1,-2,3,4]);
    a.Sec; // Computes complex secant
end;

var
    a, expected: Matrix;
begin
    a := [[0.0, 0.523598775598299], [0.785398163397448, 1.0471975511966]];
    a.Sec;
    expected := [[1.0, 1.15470053837925], [1.41421356237309, 2.0]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.Sec: mismatch');
end;

See Also: Matrix.ArcSec, Matrix.Csc

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

Calculate the secant of 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 Sec(const X: TMtxVec): TMtxVec;

Calculate the secant of 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, 0.523598775598299], [0.785398163397448, 1.0471975511966]];
    a.Sec(x);
    expected := [[1.0, 1.15470053837925], [1.41421356237309, 2.0]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.Sec: mismatch');
end;

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

Calculate the secant of 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.