TVec.Power Method

Overload List

#	Signature	Description
1	function Power(const Exponent: TCplx): TMtxVec;	Raises all calling vector elements to complex power Exponent in-place.
2	function Power(const Base: TCplx; const Exponent: TMtxVec): TMtxVec;	Raises Base complex value to Exponent object values powers.
3	function Power(const Base: TMtxVec; const Exponent: TCplx): TMtxVec;	Raises each of the Base object elements to complex Exponent power.
4	function Power(const Base: TMtxVec; const Exponent: TMtxVec): TMtxVec;	Raises each of Base object elements to corresponding power, stored in Exponenet elements.
5	function Power(const Base: TMtxVec; const Exponent: Double): TMtxVec;	Raises each of the Base object elements to real Exponent power.
6	function Power(const Exponent: Double): TMtxVec;	Raises base object elements to any power.
7	function Power(const Base: Double; const Exponent: TMtxVec): TMtxVec;	Raises base elements to exponent power.

Overload 1: function Power(const Exponent: TCplx): TMtxVec;

Raises all calling vector elements to complex power Exponent in-place.

#	Name	Type	Description
1	Exponent	TCplx	scalar

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

Remarks:

If the calling vector is real and has negative elements, the result will be NAN at those entries. To obtain a valid result in this case, extend the calling vector to complex with TMtxVec.ExtendToComplex method. In all real/complex combinations, the Power method will not automatically assume that a number is complex to speed up the computation.

Alternatively the user can of course always convert the real numbers to complex before passing them to the Power routine.

Overload 2: function Power(const Base: TCplx; const Exponent: TMtxVec): TMtxVec;

Raises Base complex value to Exponent object values powers.

#	Name	Type	Description
1	Base	TCplx	scalar
2	Exponent	TMtxVec	source TVec or TMtx

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

Remarks:

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

Overload 3: function Power(const Base: TMtxVec; const Exponent: TCplx): TMtxVec;

Raises each of the Base object elements to complex Exponent power.

#	Name	Type	Description
1	Base	TMtxVec	source TVec or TMtx
2	Exponent	TCplx	scalar

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

Remarks:

Size and TMtxVec.Complex properties of calling object are adjusted automatically.

Overload 4: function Power(const Base: TMtxVec; const Exponent: TMtxVec): TMtxVec;

Raises each of Base object elements to corresponding power, stored in Exponenet elements.

#	Name	Type	Description
1	Base	TMtxVec	source TVec or TMtx
2	Exponent	TMtxVec	source TVec or TMtx

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

Remarks:

Power[i] = Base[i]^Exponent[i]

Size and TMtxVec.Complex property of calling object are adjusted automatically. An exception is raised if Base and Exponent sizes do not match.

Overload 5: function Power(const Base: TMtxVec; const Exponent: Double): TMtxVec;

Raises each of the Base object elements to real Exponent power.

#	Name	Type	Description
1	Base	TMtxVec	source TVec or TMtx
2	Exponent	Double	scalar

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

Remarks:

Size and TMtxVec.Complex properties of calling object are adjusted automatically.

Overload 6: function Power(const Exponent: Double): TMtxVec;

Raises base object elements to any power.

#	Name	Type	Description
1	Exponent	Double	scalar

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

Remarks:

Raises Base calling object elements to any power. The TMtxVec.IntPower is faster, if Exponent is an integer. Real valued power can handle only positive Exponent. TMtxVec.IntPower can handle negative exponent also. To compute a power to the negative exponent in general case or when the base is negative, use the complex version of the function.

Examples

var a: Vector;
begin
    a.SetIt(False,[1,2,3,4]);
    a.Power(1.2);
end;

Overload 7: function Power(const Base: Double; const Exponent: TMtxVec): TMtxVec;

Raises base elements to exponent power.

#	Name	Type	Description
1	Base	Double	scalar
2	Exponent	TMtxVec	source TVec or TMtx

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

Remarks:

Raises Base value to Exponent object values powers and store the results to calling object values. Size and TMtxVec.Complex properties of calling object are adjusted automatically.