MtxExpr.AddAndMul Method

Overload List

#	Signature	Description
1	Matrix AddAndMul(TMtx X, TCplx Y, TCplx Z)
2	Matrix AddAndMul(TMtx X, TCplx xScale, TCplx Y, TCplx Z)	Result = (XxScale + yScalar)zScalar, where X is a Matrix
3	Matrix AddAndMul(TMtx X, TCplx xScale, TCplx Y, TMtxVec Z)
4	Matrix AddAndMul(TMtx X, TCplx xScale, TCplx Y, TMtxVec Z, TCplx zScale)	Result = (XxScale + yScalar)Z*zScale, where X is a Matrix
5	Matrix AddAndMul(TMtx X, TCplx Y, TMtxVec Z)
6	Matrix AddAndMul(TMtx X, TCplx Y, TMtxVec Z, TCplx zScale)
7	Matrix AddAndMul(TMtx X, TCplx xScale, TMtxVec Y, TCplx yScale, TCplx Z)	Result = (XxScale + YyScale)*zScalar, where X is a Matrix
8	Matrix AddAndMul(TMtx X, TCplx xScale, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)	Result = (XxScale + YyScale)ZzScale, where X is a Matrix
9	Matrix AddAndMul(TMtx X, TMtxVec Y, TCplx Z)
10	Matrix AddAndMul(TMtx X, TMtxVec Y, TCplx yScale, TCplx Z)
11	Matrix AddAndMul(TMtx X, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)
12	Matrix AddAndMul(TMtx X, TMtxVec Y, TMtxVec Z)	Result = (X + Y)*Z, where X is a Matrix
13	Matrix AddAndMul(TMtx X, TMtxVec Y, TMtxVec Z, TCplx zScale)
14	Matrix AddAndMul(TMtx X, TMtxVec Y, TMtxVec Z, Double zScale)	Result = (X + Y)ZzScale, where X is a Matrix
15	Matrix AddAndMul(TMtx X, TMtxVec Y, Double Z)	Result = (X + Y)*zScalar, where X is a Matrix
16	Matrix AddAndMul(TMtx X, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)	Result = (X + YyScale)Z*zScale, where X is a Matrix
17	Matrix AddAndMul(TMtx X, TMtxVec Y, Double yScale, Double Z)	Result = (X + YyScale)zScalar, where X is a Matrix
18	Matrix AddAndMul(TMtx X, Double Y, TMtxVec Z)	Result = (X + yScalar)*Z, where X is a Matrix
19	Matrix AddAndMul(TMtx X, Double Y, TMtxVec Z, Double zScale)	Result = (X + yScalar)ZzScale, where X is a Matrix
20	Matrix AddAndMul(TMtx X, Double xScale, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)	Result = (XxScale + YyScale)ZzScale, when X is a Matrix
21	Matrix AddAndMul(TMtx X, Double xScale, TMtxVec Y, Double yScale, Double Z)	Result = (XxScale + YyScale)*zScalar, when X is a Matrix
22	Matrix AddAndMul(TMtx X, Double Y, Double Z)	Result = (X + yScalar)*zScalar, where X is a Matrix
23	Matrix AddAndMul(TMtx X, Double xScale, Double Y, TMtxVec Z)	Result = (XxScale + yScalar)Z, where X is a Matrix
24	Matrix AddAndMul(TMtx X, Double xScale, Double Y, TMtxVec Z, Double zScale)	Result = (XxScale + yScalar)Z*zScale, when X is a Matrix
25	Matrix AddAndMul(TMtx X, Double xScale, Double Y, Double Z)	Result = (XxScale + yScalar)zScalar, when X is a Matrix
26	Vector AddAndMul(TVec X, TCplx Y, TCplx Z)
27	Vector AddAndMul(TVec X, TCplx xScale, TCplx Y, TCplx Z)	Result = (XxScale + yScalar)zScalar
28	Vector AddAndMul(TVec X, TCplx xScale, TCplx Y, TMtxVec Z)
29	Vector AddAndMul(TVec X, TCplx xScale, TCplx Y, TMtxVec Z, TCplx zScale)	Result = (XxScale + yScalar)Z*zScale
30	Vector AddAndMul(TVec X, TCplx Y, TMtxVec Z)
31	Vector AddAndMul(TVec X, TCplx Y, TMtxVec Z, TCplx zScale)
32	Vector AddAndMul(TVec X, TCplx xScale, TMtxVec Y, TCplx yScale, TCplx Z)	Result = (XxScale + YyScale)*zScalar
33	Vector AddAndMul(TVec X, TCplx xScale, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)	Result = (XxScale + YyScale)ZzScale
34	Vector AddAndMul(TVec X, TMtxVec Y, TCplx Z)
35	Vector AddAndMul(TVec X, TMtxVec Y, TCplx yScale, TCplx Z)
36	Vector AddAndMul(TVec X, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)
37	Vector AddAndMul(TVec X, TMtxVec Y, TMtxVec Z)	Result = (X + Y)*Z
38	Vector AddAndMul(TVec X, TMtxVec Y, TMtxVec Z, TCplx zScale)
39	Vector AddAndMul(TVec X, TMtxVec Y, TMtxVec Z, Double zScale)	Result = (X + Y)ZzScale
40	Vector AddAndMul(TVec X, TMtxVec Y, Double Z)	Result = (X + Y)*zScalar
41	Vector AddAndMul(TVec X, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)	Result = (X + YyScale)Z*zScale
42	Vector AddAndMul(TVec X, TMtxVec Y, Double yScale, Double Z)	Result = (X + YyScale)zScalar
43	Vector AddAndMul(TVec X, Double Y, TMtxVec Z)	Result = (X + yScalar)*Z
44	Vector AddAndMul(TVec X, Double Y, TMtxVec Z, Double zScale)	Result = (X + yScalar)ZzScale
45	Vector AddAndMul(TVec X, Double xScale, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)	Result = (XxScale + YyScale)ZzScale
46	Vector AddAndMul(TVec X, Double xScale, TMtxVec Y, Double yScale, Double Z)	Result = (XxScale + YyScale)*zScalar
47	Vector AddAndMul(TVec X, Double Y, Double Z)	Result = (X + yScalar)*zScalar
48	Vector AddAndMul(TVec X, Double xScale, Double Y, TMtxVec Z)	Result = (XxScale + yScalar)Z
49	Vector AddAndMul(TVec X, Double xScale, Double Y, TMtxVec Z, Double zScale)	Result = (XxScale + yScalar)Z*zScale
50	Vector AddAndMul(TVec X, Double xScale, Double Y, Double Z)	Result = (XxScale + yScalar)zScalar

Overload 1: Matrix AddAndMul(TMtx X, TCplx Y, TCplx Z)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TCplx	scalar
3	Z	TCplx	scalar

Returns: Matrix

Overload 2: Matrix AddAndMul(TMtx X, TCplx xScale, TCplx Y, TCplx Z)

Compute (X*xScale + yScalar)*zScalar, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	TCplx	scalar
3	Y	TCplx	scalar
4	Z	TCplx	scalar

Returns: Matrix

Overload 3: Matrix AddAndMul(TMtx X, TCplx xScale, TCplx Y, TMtxVec Z)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	TCplx	scalar
3	Y	TCplx	scalar
4	Z	TMtxVec	source TVec or TMtx

Returns: Matrix

Overload 4: Matrix AddAndMul(TMtx X, TCplx xScale, TCplx Y, TMtxVec Z, TCplx zScale)

Compute (X*xScale + yScalar)*Z*zScale, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	TCplx	scalar
3	Y	TCplx	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	TCplx	scalar

Returns: Matrix

Overload 5: Matrix AddAndMul(TMtx X, TCplx Y, TMtxVec Z)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TCplx	scalar
3	Z	TMtxVec	source TVec or TMtx

Returns: Matrix

Overload 6: Matrix AddAndMul(TMtx X, TCplx Y, TMtxVec Z, TCplx zScale)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TCplx	scalar
3	Z	TMtxVec	source TVec or TMtx
4	zScale	TCplx	scalar

Returns: Matrix

Overload 7: Matrix AddAndMul(TMtx X, TCplx xScale, TMtxVec Y, TCplx yScale, TCplx Z)

Compute (X*xScale + Y*yScale)*zScalar, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	TCplx	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	TCplx	scalar
5	Z	TCplx	scalar

Returns: Matrix

Overload 8: Matrix AddAndMul(TMtx X, TCplx xScale, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)

Compute (X*xScale + Y*yScale)*Z*zScale, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	TCplx	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	TCplx	scalar
5	Z	TMtxVec	source TVec or TMtx
6	zScale	TCplx	scalar

Returns: Matrix

Overload 9: Matrix AddAndMul(TMtx X, TMtxVec Y, TCplx Z)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	Z	TCplx	scalar

Returns: Matrix

Overload 10: Matrix AddAndMul(TMtx X, TMtxVec Y, TCplx yScale, TCplx Z)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	yScale	TCplx	scalar
4	Z	TCplx	scalar

Returns: Matrix

Overload 11: Matrix AddAndMul(TMtx X, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	yScale	TCplx	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	TCplx	scalar

Returns: Matrix

Overload 12: Matrix AddAndMul(TMtx X, TMtxVec Y, TMtxVec Z)

Compute (X + Y)*Z, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	Z	TMtxVec	source TVec or TMtx

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 13: Matrix AddAndMul(TMtx X, TMtxVec Y, TMtxVec Z, TCplx zScale)

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	Z	TMtxVec	source TVec or TMtx
4	zScale	TCplx	scalar

Returns: Matrix

Overload 14: Matrix AddAndMul(TMtx X, TMtxVec Y, TMtxVec Z, Double zScale)

Compute (X + Y)*Z*zScale, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	Z	TMtxVec	source TVec or TMtx
4	zScale	Double	scalar

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 15: Matrix AddAndMul(TMtx X, TMtxVec Y, Double Z)

Compute (X + Y)*zScalar, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	Z	Double	scalar

Returns: Matrix

Overload 16: Matrix AddAndMul(TMtx X, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)

Compute (X + Y*yScale)*Z*zScale, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	yScale	Double	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	Double	scalar

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 17: Matrix AddAndMul(TMtx X, TMtxVec Y, Double yScale, Double Z)

Compute (X + Y*yScale)*zScalar, where X is a Matrix.

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	TMtxVec	source TVec or TMtx
3	yScale	Double	scalar
4	Z	Double	scalar

Returns: Matrix

Overload 18: Matrix AddAndMul(TMtx X, Double Y, TMtxVec Z)

Compute (X + yScalar)*Z, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	Double	scalar
3	Z	TMtxVec	source TVec or TMtx

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 19: Matrix AddAndMul(TMtx X, Double Y, TMtxVec Z, Double zScale)

Compute (X + yScalar)*Z*zScale, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	Double	scalar
3	Z	TMtxVec	source TVec or TMtx
4	zScale	Double	scalar

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 20: Matrix AddAndMul(TMtx X, Double xScale, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)

Compute (X*xScale + Y*yScale)*Z*zScale, when X is a Matrix.

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	Double	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	Double	scalar
5	Z	TMtxVec	source TVec or TMtx
6	zScale	Double	scalar

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 21: Matrix AddAndMul(TMtx X, Double xScale, TMtxVec Y, Double yScale, Double Z)

Compute (X*xScale + Y*yScale)*zScalar, when X is a Matrix.

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	Double	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	Double	scalar
5	Z	Double	scalar

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 22: Matrix AddAndMul(TMtx X, Double Y, Double Z)

Compute (X + yScalar)*zScalar, where X is a Matrix

#	Name	Type	Description
1	X	TMtx	source TMtx
2	Y	Double	scalar
3	Z	Double	scalar

Returns: Matrix

Overload 23: Matrix AddAndMul(TMtx X, Double xScale, Double Y, TMtxVec Z)

Compute (X*xScale + yScalar)*Z, where X is a Matrix.

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	Double	scalar
3	Y	Double	scalar
4	Z	TMtxVec	source TVec or TMtx

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 24: Matrix AddAndMul(TMtx X, Double xScale, Double Y, TMtxVec Z, Double zScale)

Compute (X*xScale + yScalar)*Z*zScale, when X is a Matrix.

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	Double	scalar
3	Y	Double	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	Double	scalar

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 25: Matrix AddAndMul(TMtx X, Double xScale, Double Y, Double Z)

Compute (X*xScale + yScalar)*zScalar, when X is a Matrix.

#	Name	Type	Description
1	X	TMtx	source TMtx
2	xScale	Double	scalar
3	Y	Double	scalar
4	Z	Double	scalar

Returns: Matrix

Remarks:

The operation does only per-element math.

Overload 26: Vector AddAndMul(TVec X, TCplx Y, TCplx Z)

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TCplx	scalar
3	Z	TCplx	scalar

Returns: Vector

Overload 27: Vector AddAndMul(TVec X, TCplx xScale, TCplx Y, TCplx Z)

Compute (X*xScale + yScalar)*zScalar

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	TCplx	scalar
3	Y	TCplx	scalar
4	Z	TCplx	scalar

Returns: Vector

Overload 28: Vector AddAndMul(TVec X, TCplx xScale, TCplx Y, TMtxVec Z)

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	TCplx	scalar
3	Y	TCplx	scalar
4	Z	TMtxVec	source TVec or TMtx

Returns: Vector

Overload 29: Vector AddAndMul(TVec X, TCplx xScale, TCplx Y, TMtxVec Z, TCplx zScale)

Compute (X*xScale + yScalar)*Z*zScale

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	TCplx	scalar
3	Y	TCplx	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	TCplx	scalar

Returns: Vector

Overload 30: Vector AddAndMul(TVec X, TCplx Y, TMtxVec Z)

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TCplx	scalar
3	Z	TMtxVec	source TVec or TMtx

Returns: Vector

Overload 31: Vector AddAndMul(TVec X, TCplx Y, TMtxVec Z, TCplx zScale)

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TCplx	scalar
3	Z	TMtxVec	source TVec or TMtx
4	zScale	TCplx	scalar

Returns: Vector

Overload 32: Vector AddAndMul(TVec X, TCplx xScale, TMtxVec Y, TCplx yScale, TCplx Z)

Compute (X*xScale + Y*yScale)*zScalar

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	TCplx	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	TCplx	scalar
5	Z	TCplx	scalar

Returns: Vector

Overload 33: Vector AddAndMul(TVec X, TCplx xScale, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)

Compute (X*xScale + Y*yScale)*Z*zScale

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	TCplx	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	TCplx	scalar
5	Z	TMtxVec	source TVec or TMtx
6	zScale	TCplx	scalar

Returns: Vector

Overload 34: Vector AddAndMul(TVec X, TMtxVec Y, TCplx Z)

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	Z	TCplx	scalar

Returns: Vector

Overload 35: Vector AddAndMul(TVec X, TMtxVec Y, TCplx yScale, TCplx Z)

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	yScale	TCplx	scalar
4	Z	TCplx	scalar

Returns: Vector

Overload 36: Vector AddAndMul(TVec X, TMtxVec Y, TCplx yScale, TMtxVec Z, TCplx zScale)

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	yScale	TCplx	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	TCplx	scalar

Returns: Vector

Overload 37: Vector AddAndMul(TVec X, TMtxVec Y, TMtxVec Z)

Compute (X + Y)*Z

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	Z	TMtxVec	source TVec or TMtx

Returns: Vector

Remarks:

Computes the product of the sum of X and Y multiplied by Z without temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Y = (Vector) new double[] { 2, 3, 4, 5 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X + Y) * Z;
        Vector A2 = AddAndMul(X, Y, Z);
        Vector A3 = new Vector();
        A3.AddAndMul(X, Y, Z);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 38: Vector AddAndMul(TVec X, TMtxVec Y, TMtxVec Z, TCplx zScale)

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	Z	TMtxVec	source TVec or TMtx
4	zScale	TCplx	scalar

Returns: Vector

Overload 39: Vector AddAndMul(TVec X, TMtxVec Y, TMtxVec Z, Double zScale)

Compute (X + Y)*Z*zScale

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	Z	TMtxVec	source TVec or TMtx
4	zScale	Double	scalar

Returns: Vector

Remarks:

Computes the product of (X + Y) multiplied by Z and then by the scalar zScale, all without creating temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double zScale = 2.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Y = (Vector) new double[] { 2, 3, 4, 5 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X + Y) * Z * zScale;
        Vector A2 = AddAndMul(X, Y, Z, zScale);
        Vector A3 = new Vector();
        A3.AddAndMul(X, Y, Z, zScale);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 40: Vector AddAndMul(TVec X, TMtxVec Y, Double Z)

Compute (X + Y)*zScalar

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	Z	Double	scalar

Returns: Vector

Remarks:

Computes the sum of X and Y multiplied by the scalar zScalar without temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double zScalar = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Y = (Vector) new double[] { 2, 3, 4, 5 };
        Vector A1 = (X + Y) * zScalar;
        Vector A2 = AddAndMul(X, Y, zScalar);
        Vector A3 = new Vector();
        A3.AddAndMul(X, Y, zScalar);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 41: Vector AddAndMul(TVec X, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)

Compute (X + Y*yScale)*Z*zScale

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	yScale	Double	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	Double	scalar

Returns: Vector

Remarks:

Computes the product of (X plus Y scaled by yScale) multiplied by Z and then by zScale, without temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double yScale = 1.5, zScale = 2.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Y = (Vector) new double[] { 2, 3, 4, 5 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X + Y * yScale) * Z * zScale;
        Vector A2 = AddAndMul(X, yScale, Y, yScale, Z, zScale);
        Vector A3 = new Vector();
        A3.AddAndMul(X, yScale, Y, yScale, Z, zScale);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 42: Vector AddAndMul(TVec X, TMtxVec Y, Double yScale, Double Z)

Compute (X + Y*yScale)*zScalar

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	TMtxVec	source TVec or TMtx
3	yScale	Double	scalar
4	Z	Double	scalar

Returns: Vector

Remarks:

Computes the expression (X + Y*yScale) multiplied by a scalar zScalar without temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double yScale = 1.5, zScalar = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Y = (Vector) new double[] { 2, 3, 4, 5 };
        Vector A1 = (X + Y * yScale) * zScalar;
        Vector A2 = AddAndMul(X, yScale, Y, yScale, zScalar);
        Vector A3 = new Vector();
        A3.AddAndMul(X, yScale, Y, yScale, zScalar);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 43: Vector AddAndMul(TVec X, Double Y, TMtxVec Z)

Compute (X + yScalar)*Z

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	Double	scalar
3	Z	TMtxVec	source TVec or TMtx

Returns: Vector

Remarks:

Computes the expression (X plus the scalar yScalar) multiplied by Z, without creating temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double yScalar = 2.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X + yScalar) * Z;
        Vector A2 = AddAndMul(X, yScalar, Z);
        Vector A3 = new Vector();
        A3.AddAndMul(X, yScalar, Z);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 44: Vector AddAndMul(TVec X, Double Y, TMtxVec Z, Double zScale)

Compute (X + yScalar)*Z*zScale

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	Double	scalar
3	Z	TMtxVec	source TVec or TMtx
4	zScale	Double	scalar

Returns: Vector

Remarks:

Computes the expression (X + yScalar) multiplied by Z and then by zScale, without creating temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double yScalar = 2.0, zScale = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X + yScalar) * Z * zScale;
        Vector A2 = AddAndMul(X, yScalar, Z, zScale);
        Vector A3 = new Vector();
        A3.AddAndMul(X, yScalar, Z, zScale);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 45: Vector AddAndMul(TVec X, Double xScale, TMtxVec Y, Double yScale, TMtxVec Z, Double zScale)

Compute (X*xScale + Y*yScale)*Z*zScale

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	Double	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	Double	scalar
5	Z	TMtxVec	source TVec or TMtx
6	zScale	Double	scalar

Returns: Vector

Remarks:

Computes the expression (X*xScale + Y*yScale) multiplied by Z*zScale without temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double xScale = 1.0, yScale = 2.0, zScale = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Y = (Vector) new double[] { 2, 3, 4, 5 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X * xScale + Y * yScale) * Z * zScale;
        Vector A2 = AddAndMul(X, xScale, Y, yScale, Z, zScale);
        Vector A3 = new Vector();
        A3.AddAndMul(X, xScale, Y, yScale, Z, zScale);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 46: Vector AddAndMul(TVec X, Double xScale, TMtxVec Y, Double yScale, Double Z)

Compute (X*xScale + Y*yScale)*zScalar

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	Double	scalar
3	Y	TMtxVec	source TVec or TMtx
4	yScale	Double	scalar
5	Z	Double	scalar

Returns: Vector

Remarks:

Computes the expression (X*xScale + Y*yScale) multiplied by a scalar zScalar without temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double xScale = 1.0, yScale = 2.0, zScalar = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Y = (Vector) new double[] { 2, 3, 4, 5 };
        Vector A1 = (X * xScale + Y * yScale) * zScalar;
        Vector A2 = AddAndMul(X, xScale, Y, yScale, zScalar);
        Vector A3 = new Vector();
        A3.AddAndMul(X, xScale, Y, yScale, zScalar);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 47: Vector AddAndMul(TVec X, Double Y, Double Z)

Compute (X + yScalar)*zScalar

#	Name	Type	Description
1	X	TVec	source TVec
2	Y	Double	scalar
3	Z	Double	scalar

Returns: Vector

Remarks:

Computes the result of adding the scalar yScalar to X and then multiplying by the scalar zScalar, without creating temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double yScalar = 2.0, zScalar = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector A1 = (X + yScalar) * zScalar;
        Vector A2 = AddAndMul(X, yScalar, zScalar);
        Vector A3 = new Vector();
        A3.AddAndMul(X, yScalar, zScalar);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 48: Vector AddAndMul(TVec X, Double xScale, Double Y, TMtxVec Z)

Compute (X*xScale + yScalar)*Z

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	Double	scalar
3	Y	Double	scalar
4	Z	TMtxVec	source TVec or TMtx

Returns: Vector

Remarks:

Computes the expression (X scaled by xScale plus the scalar yScalar) multiplied by Z, without creating temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double xScale = 1.0, yScalar = 2.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X * xScale + yScalar) * Z;
        Vector A2 = AddAndMul(X, xScale, yScalar, Z);
        Vector A3 = new Vector();
        A3.AddAndMul(X, xScale, yScalar, Z);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 49: Vector AddAndMul(TVec X, Double xScale, Double Y, TMtxVec Z, Double zScale)

Compute (X*xScale + yScalar)*Z*zScale

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	Double	scalar
3	Y	Double	scalar
4	Z	TMtxVec	source TVec or TMtx
5	zScale	Double	scalar

Returns: Vector

Remarks:

Computes the expression where X is scaled by xScale, then added to a scalar yScalar, and the result is multiplied element-wise by Z and finally scaled by zScale. This operation is performed without creating temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double xScale = 1.0, yScalar = 2.0, zScale = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector Z = (Vector) new double[] { 3, 4, 5, 6 };
        Vector A1 = (X * xScale + yScalar) * Z * zScale;
        Vector A2 = AddAndMul(X, xScale, yScalar, Z, zScale);
        Vector A3 = new Vector();
        A3.AddAndMul(X, xScale, yScalar, Z, zScale);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}

Overload 50: Vector AddAndMul(TVec X, Double xScale, Double Y, Double Z)

Compute (X*xScale + yScalar)*zScalar

#	Name	Type	Description
1	X	TVec	source TVec
2	xScale	Double	scalar
3	Y	Double	scalar
4	Z	Double	scalar

Returns: Vector

Remarks:

Computes the result of multiplying X by xScale, adding a scalar yScalar, and then multiplying the entire result by a scalar zScalar, all without creating temporary objects.

Examples

using Dew.Math;
using Dew.Math.Units;

namespace Dew.Examples
{
    void Example()
    {
        double xScale = 1.0, yScalar = 2.0, zScalar = 3.0;
        Vector X = (Vector) new double[] { 1, 2, 3, 4 };
        Vector A1 = (X * xScale + yScalar) * zScalar;
        Vector A2 = AddAndMul(X, xScale, yScalar, zScalar);
        Vector A3 = new Vector();
        A3.AddAndMul(X, xScale, yScalar, zScalar);
        if (!A2.IsEqual(A1)) Math387.ERaise("Problem");
        if (!A3.IsEqual(A1)) Math387.ERaise("Problem");
    }
}