TSparseMtx.ArcCsch Method

Overload List

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

Overload 1: function ArcCsch: TMtxVec;

Inverse hyperbolic cosecant.

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

Remarks:

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

Examples

var
    a, expected: Matrix;
begin
    a := [[0.5, 1.0], [2.0, 3.0]];
    a.ArcCsch;
    expected := [[1.44363547517881, 0.881373587019543], [0.481211825059603, 0.327450150237258]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.ArcCsch: mismatch');
end;

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

Calculate the inverse hyperbolic cosecant 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 ArcCsch(const X: TMtxVec): TMtxVec;

Calculate the inverse hyperbolic cosecant for all X object elements.

#	Name	Type	Description
1	X	TMtxVec	source TVec or TMtx

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

Remarks:

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

Examples

var
    a, x, expected: Matrix;
begin
    x := [[0.5, 1.0], [2.0, 3.0]];
    a.ArcCsch(x);
    expected := [[1.44363547517881, 0.881373587019543], [0.481211825059603, 0.327450150237258]];
    if not a.IsEqual(expected, 1e-10, TCompare.cmpAbsolute) then
        raise Exception.Create('Matrix.ArcCsch: mismatch');
end;

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

Calculate the inverse hyperbolic cosecant for X object elements [XIndex]..[XIndex+Len-1].

#	Name	Type	Description
1	X	TMtxVec	source TVec or TMtx
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 TMtxVec.Complex properties of the calling object must be set explicitly. An exception is raised if array borders are overrun.