Vector::DotProd Method

Overload List

#	Signature	Description
1	double DotProd(TMtxVec Vec) const*;	Scalar product of two real arrays.
2	double DotProd(TMtxVec Vec, int* VecIndex, int Index, int Len) const;	Returns the scalar product between Vec elements [VecIndex]..[VecIndex+Len-1] and calling object elements [Index]..[Index+Len-1].

Overload 1: double DotProd(TMtxVec *Vec) const;

Scalar product of two real arrays.

#	Name	Type	Description
1	Vec	TMtxVec *

Remarks:

Calculates the dot product (scalar value) of the calling object and Vec object and returns a real scalar value. 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]

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

Examples

#include "MtxExpr.h"

using namespace Dew;
using namespace Dew::Math;

void Example()
{
    Vector a, b;
    double prod;

    a.SetIt(false, DewArray<double>{1, 2, 3, 4});
    b.SetIt(false, DewArray<double>{5, 6, 7, 8});
    prod = a.DotProd(b); // = 1*5 + 2*6 + * 3*7 + 4*8
}

See Also: Vector::DotProdc

Declared in Dew::Math::Vector · Dew.Math/MtxExpr.h · Cross-compiler

Overload 2: double DotProd(TMtxVec *Vec, int VecIndex, int Index, int Len) const;

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

#	Name	Type
1	Vec	TMtxVec *
2	VecIndex	int
3	Index	int
4	Len	int

Remarks:

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

Examples

#include "MtxExpr.h"

using namespace Dew;
using namespace Dew::Math;

void Example()
{
    Vector a, b;
    double prod;

    a = {1, 2, 3, 4};
    b = {5, 6, 7, 8};
    prod = a.DotProd(b); // = 1*5 + 2*6 + * 3*7 + 4*8
}

Declared in Dew::Math::Vector · Dew.Math/MtxExpr.h · Cross-compiler