Vector.Sinh Method

Overload List

#	Signature	Description
1	function Sinh: TMtxVec;	Hyperbolic sine.
	└ indexed: function Sinh(Index: Integer; Len: Integer): TMtxVec;
2	function Sinh(const X: TMtxVec): TMtxVec;	Calculate the hyperbolic sine of all X object elements.
	└ indexed: function Sinh(const X: TMtxVec; XIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Overload 1: function Sinh: TMtxVec;

Hyperbolic sine.

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

Remarks:

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

Examples

var a: Vector;
begin
    a.SetIt(False,[1,1.5,2,0.3]);
    a.Sinh; // or
    a := Sinh(a); // no speed loss because of copy, internally becomes a.Sinh
end;

var
    a, expected: Vector;
begin
    a := [0.0, 0.5, 1.0, 2.0];
    a.Sinh;
    expected := [0.0, 0.521095305493747, 1.1752011936438, 3.62686040784702];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Vector.Sinh: mismatch');
end;

See Also: Vector.ArcSinh, Vector.SinhCosh

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

Calculate the hyperbolic sine 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 Sinh(const X: TMtxVec): TMtxVec;

Calculate the hyperbolic sine of 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.Sinh(x);
    expected := [0.0, 0.521095305493747, 1.1752011936438, 3.62686040784702];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Vector.Sinh: mismatch');
end;

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

Calculate the 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 the 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.