Vector::AddScaledSqr Method — MtxVec

Overload List

#	Signature	Description
1	TMtxVec AddScaledSqr(TMtxVec X, TMtxVec Y, const* double yScale) const;	Compute sqr(X + Y*yScale)
2	TMtxVec AddScaledSqr(TMtxVec X, TMtxVec Y, const* TCplx &yScale) const;	Compute sqr(X + Y*yScale)
3	TMtxVec AddScaledSqr(TMtxVec X, int XIndex, TMtxVec Y, int* YIndex, const double yScale, int Index, int Len) const;	Compute sqr(X + Y*yScale) on sub arrays
4	TMtxVec AddScaledSqr(TMtxVec X, int XIndex, TMtxVec Y, int* YIndex, const TCplx &yScale, int Index, int Len) const;	Compute sqr(X + Y*yScale) on sub arrays
5	TMtxVec AddScaledSqr(TMtxVec X, const double xScale, TMtxVec Y, const* double yScale) const;	Compute sqr(XxScale + YyScale)
6	TMtxVec AddScaledSqr(TMtxVec X, const TCplx &xScale, TMtxVec Y, const* TCplx &yScale) const;	Compute sqr(XxScale + YyScale)
7	TMtxVec AddScaledSqr(TMtxVec X, int XIndex, const double xScale, TMtxVec Y, int* YIndex, const double yScale, int Index, int Len) const;	Compute sqr(XxScale + YyScale) on sub arrays
8	TMtxVec AddScaledSqr(TMtxVec X, int XIndex, const TCplx &xScale, TMtxVec Y, int* YIndex, const TCplx &yScale, int Index, int Len) const;	Compute sqr(XxScale + YyScale) on sub arrays

Overload 1: TMtxVec AddScaledSqr(TMtxVec X, TMtxVec *Y, const double yScale) const;

Compute sqr(X + Y*yScale)

#	Name	Type	Description
1	X	TMtxVec *
2	Y	TMtxVec *
3	yScale	const double

Remarks:

By making use of yScale, it is also possible to compute the following (at the same or higher speed):

(X - Y)^2 = X^2 - 2XY +Y^2

Examples

#include "MtxExpr.h"
#include "Units.Math387.h"
#include "Units.MtxExpr.h"
#include "Units.MtxVec.h"

using namespace Dew;
using namespace Dew::Math;
using namespace Dew::Math::Units::Math387;
using namespace Dew::Math::Units::MtxExpr;
using namespace Dew::Math::Units::MtxVec;

void Example()
{
    Vector X, Y, A1, A2, A3;
    double xScale, yScale;

    xScale = 1.5;
    yScale = -1.5;
    X = {1, 2, 3, 4};
    Y = {2, 3, 4, 5};
    A1 = Sqr(X * xScale + Y * yScale);
    A2 = AddScaledSqr(X, xScale, Y, yScale);
    A3.AddScaledSqr(X, xScale, Y, yScale);

    if (!A2.IsEqual(A1))
        ERaise("Problem");
    if (!A3.IsEqual(A1))
        ERaise("Problem");
}

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

Overload 2: TMtxVec AddScaledSqr(TMtxVec X, TMtxVec *Y, const TCplx &yScale) const;

Compute sqr(X + Y*yScale)

#	Name	Type	Description
1	X	TMtxVec *
2	Y	TMtxVec *
3	yScale	const TCplx &

Examples

#include "MtxExpr.h"
#include "Units.Math387.h"
#include "Units.MtxExpr.h"
#include "Units.MtxVec.h"

using namespace Dew;
using namespace Dew::Math;
using namespace Dew::Math::Units::Math387;
using namespace Dew::Math::Units::MtxExpr;
using namespace Dew::Math::Units::MtxVec;

void Example()
{
    Vector X, Y, A1, A2, A3;
    double yScale;

    yScale = 1.5;
    X = {1, 2, 3, 4};
    Y = {2, 3, 4, 5};
    A1 = Sqr(X + Y * yScale);
    A2 = AddScaledSqr(X, Y, yScale);
    A3.AddScaledSqr(X, Y, yScale);

    if (!A2.IsEqual(A1))
        ERaise("Problem");
    if (!A3.IsEqual(A1))
        ERaise("Problem");
}

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

Overload 3: TMtxVec AddScaledSqr(TMtxVec X, int XIndex, TMtxVec *Y, int YIndex, const double yScale, int Index, int Len) const;

Compute sqr(X + Y*yScale) on sub arrays

#	Name	Type	Description
1	X	TMtxVec *
2	XIndex	int
3	Y	TMtxVec *
4	YIndex	int
5	yScale	const double
6	Index	int
7	Len	int

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

Overload 4: TMtxVec AddScaledSqr(TMtxVec X, int XIndex, TMtxVec *Y, int YIndex, const TCplx &yScale, int Index, int Len) const;

Compute sqr(X + Y*yScale) on sub arrays

#	Name	Type	Description
1	X	TMtxVec *
2	XIndex	int
3	Y	TMtxVec *
4	YIndex	int
5	yScale	const TCplx &
6	Index	int
7	Len	int

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

Overload 5: TMtxVec AddScaledSqr(TMtxVec X, const double xScale, TMtxVec *Y, const double yScale) const;

Compute sqr(X*xScale + Y*yScale)

#	Name	Type	Description
1	X	TMtxVec *
2	xScale	const double
3	Y	TMtxVec *
4	yScale	const double

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

Overload 6: TMtxVec AddScaledSqr(TMtxVec X, const TCplx &xScale, TMtxVec *Y, const TCplx &yScale) const;

Compute sqr(X*xScale + Y*yScale)

#	Name	Type	Description
1	X	TMtxVec *
2	xScale	const TCplx &
3	Y	TMtxVec *
4	yScale	const TCplx &

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

Overload 7: TMtxVec AddScaledSqr(TMtxVec X, int XIndex, const double xScale, TMtxVec *Y, int YIndex, const double yScale, int Index, int Len) const;

Compute sqr(X*xScale + Y*yScale) on sub arrays

#	Name	Type	Description
1	X	TMtxVec *
2	XIndex	int
3	xScale	const double
4	Y	TMtxVec *
5	YIndex	int
6	yScale	const double
7	Index	int
8	Len	int

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

Overload 8: TMtxVec AddScaledSqr(TMtxVec X, int XIndex, const TCplx &xScale, TMtxVec *Y, int YIndex, const TCplx &yScale, int Index, int Len) const;

Compute sqr(X*xScale + Y*yScale) on sub arrays

#	Name	Type	Description
1	X	TMtxVec *
2	XIndex	int
3	xScale	const TCplx &
4	Y	TMtxVec *
5	YIndex	int
6	yScale	const TCplx &
7	Index	int
8	Len	int

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