Vector.ArcSinh Method

Overload List

#	Signature	Description
1	function ArcSinh: TMtxVec;	Inverse hyperbolic sine.
	└ indexed: function ArcSinh(Index: Integer; Len: Integer): TMtxVec;
2	function ArcSinh(const X: TMtxVec): TMtxVec;	Calculate the inverse hyperbolic sine for all X object elements.
	└ indexed: function ArcSinh(const X: TMtxVec; XIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Overload 1: function ArcSinh: TMtxVec;

Inverse hyperbolic sine.

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

Remarks:

Calculate the inverse hyperbolic sine for all caling object elements in-place.

Examples

var
    a, expected: Vector;
begin
    a := [0.0, 0.5, 1.0, 2.0];
    a.ArcSinh;
    expected := [0.0, 0.481211825059603, 0.881373587019543, 1.44363547517881];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Vector.ArcSinh: mismatch');
end;

See Also: Vector.Sinh

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

Calculate the inverse hyperbolic sine 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 ArcSinh(const X: TMtxVec): TMtxVec;

Calculate the inverse hyperbolic sine for all X object elements.

#	Name	Type	Description
1	X	TMtxVec

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

Remarks:

Store the results in the calling object. Size and Vector.Complex properties of calling object are adjusted automatically.

Examples

var
    a, x, expected: Vector;
begin
    x := [0.0, 0.5, 1.0, 2.0];
    a.ArcSinh(x);
    expected := [0.0, 0.481211825059603, 0.881373587019543, 1.44363547517881];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Vector.ArcSinh: mismatch');
end;

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

Calculate the inverse hyperbolic sine for X object elements [XIndex]..[XIndex+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:

The results are stored in calling object elements [Index]..[Index+Len-1]. Size and Vector.Complex properties of the calling object must be set explicitly. An exception is raised if array borders are overrun.