Vector.DotProdc Method

Overload List

#	Signature	Description
1	TCplx DotProdc(TMtxVec Vec)	Scalar product of two complex arrays.
	└ indexed: TCplx DotProdc(TMtxVec Vec, Int32 VecIndex, Int32 Index, Int32 Len)
2	TCplx DotProdc(TMtxVec Vec, Boolean ConjVec)	Returns the scalar product between Vec and calling object complex elements.
	└ indexed: TCplx DotProdc(TMtxVec Vec, Boolean ConjVec, Int32 VecIndex, Int32 Index, Int32 Len)

Overload 1: TCplx DotProdc(TMtxVec Vec)

Scalar product of two complex arrays.

#	Name	Type	Description
1	Vec	TMtxVec	source TVec or TMtx

Returns: TCplx (complex)

Remarks:

Calculates the dot product (scalar value) of the calling object and Vec object and returns a complex scalar value. An exception is raised if calling or Vec object Dew.Math.Vector.Complex property is false. The dot product is defined by the equation:

\text{V}\cdot \text{V} = \sum _{k=0} ^{\text{Length}-1}\text{V}[k]\cdot \text{V}[k]

Note
Both objects must be of equal size. If they are not, the method will return the dot product of the largest sub-array.

Examples

Vector a;
Vector b;
TCplx prod;
a.SetIt(true,new double[] {1,2,3,4});
b.SetIt(true,new double[] {5,6,7,8});
prod = a.DotProdc(b); //= (1+2i)*(5+6i)+(3+4i)*(7+8i)

See Also: Vector.DotProd

Indexed: TCplx DotProdc(TMtxVec Vec, Int32 VecIndex, Int32 Index, Int32 Len)

Returns the scalar product between Vec (complex) elements [VecIndex]..[VecIndex+Len-1] and calling object (complex) elements [Index]..[Index+Len-1].

#	Name	Type	Description
1	Vec	TMtxVec	source TVec or TMtx
2	VecIndex	Int32
3	Index	Int32	start index
4	Len	Int32	element count

Returns: TCplx (complex)

Remarks:

An exception is raised if Vec and calling object Dew.Math.Vector.Complex property is False. An exception is raised if Dew.Math.Vector.ConditionCheck is True and array borders are overrun or underrun.

Overload 2: TCplx DotProdc(TMtxVec Vec, Boolean ConjVec)

Returns the scalar product between Vec and calling object complex elements.

#	Name	Type	Description
1	Vec	TMtxVec	source TVec or TMtx
2	ConjVec	Boolean

Returns: TCplx (complex)

Remarks:

If ConjVec is True, scalar product between calling object and conjugated Vec object elements is calculated. An exception is raised if Vec and calling object Dew.Math.Vector.Complex property is False.

Indexed: TCplx DotProdc(TMtxVec Vec, Boolean ConjVec, Int32 VecIndex, Int32 Index, Int32 Len)

Returns the scalar product between Vec (complex) elements [VecIndex]..[VecIndex+Len-1] and calling object (complex) elements [Index]..[Index+Len-1].

#	Name	Type	Description
1	Vec	TMtxVec	source TVec or TMtx
2	ConjVec	Boolean
3	VecIndex	Int32
4	Index	Int32	start index
5	Len	Int32	element count

Returns: TCplx (complex)

Remarks:

If ConjVec is True, scalar product between calling object and conjugated Vec object elements is calculated. An exception is raised if Vec and calling object Dew.Math.Vector.Complex property is False. An exception is raised if Dew.Math.Vector.ConditionCheck is True and array borders are overrun or underrun.