/// <summary>
/// See <see cref="IMatrixView.LinearCombination(double, IMatrixView, double)"/>.
/// </summary>
public IMatrix LinearCombination(double thisCoefficient, IMatrixView otherMatrix, double otherCoefficient)
{
if (otherMatrix is CscMatrix otherCSC) // In case both matrices have the exact same index arrays
{
if (HasSameIndexer(otherCSC))
{
// Do not copy the index arrays, since they are already spread around. TODO: is this a good idea?
double[] resultValues = new double[values.Length];
if (thisCoefficient == 1.0)
{
Array.Copy(this.values, resultValues, values.Length);
Blas.Daxpy(values.Length, otherCoefficient, otherCSC.values, 0, 1, this.values, 0, 1);
}
else if (otherCoefficient == 1.0)
{
Array.Copy(otherCSC.values, resultValues, values.Length);
Blas.Daxpy(values.Length, thisCoefficient, this.values, 0, 1, resultValues, 0, 1);
}
else
{
Array.Copy(this.values, resultValues, values.Length);
BlasExtensions.Daxpby(values.Length, otherCoefficient, otherCSC.values, 0, 1,
thisCoefficient, resultValues, 0, 1);
}
return(new CscMatrix(NumRows, NumColumns, resultValues, this.rowIndices, this.colOffsets));
}
}
// All entries must be processed. TODO: optimizations may be possible (e.g. only access the nnz in this matrix)
return(DenseStrategies.LinearCombination(this, thisCoefficient, otherMatrix, otherCoefficient));
}
/// <summary>
/// See <see cref="IVectorView.LinearCombination(double, IVectorView, double)"/>.
/// </summary>
public IVector LinearCombination(double thisCoefficient, IVectorView otherVector, double otherCoefficient)
{
Preconditions.CheckVectorDimensions(this, otherVector);
if (otherVector is SparseVector otherSparse) // In case both matrices have the exact same index arrays
{
if (HasSameIndexer(otherSparse))
{
// Do not copy the index arrays, since they are already spread around. TODO: is this a good idea?
double[] result = new double[this.values.Length];
if (thisCoefficient == 1.0)
{
Array.Copy(this.values, result, this.values.Length);
Blas.Daxpy(values.Length, otherCoefficient, otherSparse.values, 0, 1, result, 0, 1);
}
else if (otherCoefficient == 1.0)
{
Array.Copy(otherSparse.values, result, values.Length);
Blas.Daxpy(values.Length, thisCoefficient, this.values, 0, 1, result, 0, 1);
}
else
{
Array.Copy(this.values, result, this.values.Length);
BlasExtensions.Daxpby(values.Length, otherCoefficient, otherSparse.values, 0, 1,
thisCoefficient, result, 0, 1);
}
return(new SparseVector(Length, result, indices));
}
}
// All entries must be processed. TODO: optimizations may be possible (e.g. only access the nnz in this vector)
return(DenseStrategies.LinearCombination(this, thisCoefficient, otherVector, otherCoefficient));
}
/// <summary>
/// Performs the following operation for 0 <= i < this.<see cref="Length"/>:
/// this[i] = <paramref name="thisCoefficient"/> * this[i] + <paramref name="otherCoefficient"/> *
/// <paramref name="otherVector"/>[i]. The resulting vector overwrites the entries of this <see cref="Vector"/> instance.
/// </summary>
/// <param name="thisCoefficient">A scalar that multiplies each entry of this <see cref="Vector"/>.</param>
/// <param name="otherVector">A vector with the same <see cref="Length"/> as this <see cref="Vector"/> instance.</param>
/// <param name="otherCoefficient">A scalar that multiplies each entry of <paramref name="otherVector"/>.</param>
/// <exception cref="NonMatchingDimensionsException">Thrown if <paramref name="otherVector"/> has different
/// <see cref="Length"/> than this.</exception>
public void LinearCombinationIntoThis(double thisCoefficient, Vector otherVector, double otherCoefficient)
{
Preconditions.CheckVectorDimensions(this, otherVector);
if (thisCoefficient == 1.0)
{
Blas.Daxpy(Length, otherCoefficient, otherVector.data, 0, 1, this.data, 0, 1);
}
else
{
BlasExtensions.Daxpby(Length, otherCoefficient, otherVector.data, 0, 1, thisCoefficient, this.data, 0, 1);
}
}
/// <summary>
/// Performs the following operation for 0 <= j < <see cref="Order"/>, 0 <= i <= j:
/// this[i, j] = <paramref name="thisCoefficient"/> * this[i, j]
/// + <paramref name="otherCoefficient"/> * <paramref name="otherMatrix"/>[i, j].
/// The resulting matrix overwrites the entries of this <see cref="TriangularUpper"/> instance.
/// </summary>
/// <param name="thisCoefficient">A scalar that multiplies each entry of this <see cref="TriangularUpper"/>.</param>
/// <param name="otherMatrix">A matrix with the same <see cref="Order"/> as this <see cref="TriangularUpper"/>
/// instance.</param>
/// <param name="otherCoefficient">A scalar that multiplies each entry of <paramref name="otherMatrix"/>.</param>
/// <exception cref="NonMatchingDimensionsException">Thrown if <paramref name="otherMatrix"/> has different
/// <see cref="Order"/> than this instance.</exception>
public void LinearCombinationIntoThis(double thisCoefficient, TriangularUpper otherMatrix, double otherCoefficient)
{
Preconditions.CheckSameMatrixDimensions(this, otherMatrix);
if (thisCoefficient == 1.0)
{
Blas.Daxpy(data.Length, otherCoefficient, otherMatrix.data, 0, 1, this.data, 0, 1);
}
else
{
BlasExtensions.Daxpby(data.Length, otherCoefficient, otherMatrix.data, 0, 1, thisCoefficient, this.data, 0, 1);
}
}
public void LinearCombinationIntoThis(double thisCoefficient, SymmetricMatrix otherMatrix, double otherCoefficient)
{
Preconditions.CheckSameMatrixDimensions(this, otherMatrix);
if (thisCoefficient == 1.0)
{
Blas.Daxpy(data.Length, otherCoefficient, otherMatrix.data, 0, 1, this.data, 0, 1);
}
else
{
BlasExtensions.Daxpby(data.Length, otherCoefficient, otherMatrix.data, 0, 1, thisCoefficient, this.data, 0, 1);
}
this.Definiteness = DefiniteProperty.Unknown;
}
/// <summary>
/// Performs the following operation for 0 <= i < <see cref="NumRows"/>, 0 <= j < <see cref="NumColumns"/>:
/// this[i, j] = <paramref name="thisCoefficient"/> * this[i, j]
/// + <paramref name="otherCoefficient"/> * <paramref name="otherMatrix"/>[i, j].
/// The resulting matrix overwrites the entries of this <see cref="CscMatrix"/> instance.
/// </summary>
/// <param name="thisCoefficient">A scalar that multiplies each entry of this <see cref="Matrix"/>.</param>
/// <param name="otherMatrix">A matrix with the same indexing arrays as this <see cref="CscMatrix"/> instance.</param>
/// <param name="otherCoefficient">A scalar that multiplies each entry of <paramref name="otherMatrix"/>.</param>
/// <exception cref="SparsityPatternModifiedException">Thrown if <paramref name="otherMatrix"/> has different
/// indexing arrays than this instance.</exception>
public void LinearCombinationIntoThis(double thisCoefficient, CscMatrix otherMatrix, double otherCoefficient)
{
//Preconditions.CheckSameMatrixDimensions(this, other); // no need if the indexing arrays are the same
if (!HasSameIndexer(otherMatrix))
{
throw new SparsityPatternModifiedException("Only allowed if the indexing arrays are the same");
}
if (thisCoefficient == 1.0)
{
Blas.Daxpy(values.Length, otherCoefficient, otherMatrix.values, 0, 1, this.values, 0, 1);
}
else
{
BlasExtensions.Daxpby(values.Length, otherCoefficient, otherMatrix.values, 0, 1, thisCoefficient, this.values, 0, 1);
}
}
/// <summary>
/// See <see cref="IVector.LinearCombinationIntoThis(double, IVectorView, double)"/>
/// </summary>
public void LinearCombinationIntoThis(double thisCoefficient, IVectorView otherVector, double otherCoefficient)
{
Preconditions.CheckVectorDimensions(this, otherVector);
if ((otherVector is SparseVector otherSparse) && HasSameIndexer(otherSparse))
{
if (thisCoefficient == 1.0)
{
Blas.Daxpy(values.Length, otherCoefficient, otherSparse.values, 0, 1, this.values, 0, 1);
}
else
{
BlasExtensions.Daxpby(values.Length, otherCoefficient, otherSparse.values, 0, 1,
thisCoefficient, this.values, 0, 1);
}
}
throw new SparsityPatternModifiedException(
"This operation is legal only if the other vector has the same sparsity pattern");
}
/// <summary>
/// Performs the following operation for 0 <= i < this.<see cref="Length"/>:
/// result[i] = <paramref name="thisCoefficient"/> * this[i] + <paramref name="otherCoefficient"/> *
/// <paramref name="otherVector"/>[i]. The resulting vector is written to a new <see cref="Vector"/> and then returned.
/// </summary>
/// <param name="thisCoefficient">A scalar that multiplies each entry of this <see cref="Vector"/>.</param>
/// <param name="otherVector">A vector with the same <see cref="Length"/> as this <see cref="Vector"/> instance.</param>
/// <param name="otherCoefficient">A scalar that multiplies each entry of <paramref name="otherVector"/>.</param>
/// <exception cref="NonMatchingDimensionsException">Thrown if <paramref name="otherVector"/> has different
/// <see cref="Length"/> than this.</exception>
public Vector LinearCombination(double thisCoefficient, Vector otherVector, double otherCoefficient)
{
Preconditions.CheckVectorDimensions(this, otherVector);
//TODO: Perhaps this should be done using mkl_malloc and BLAS copy.
double[] result = new double[data.Length];
if (thisCoefficient == 1.0)
{
Array.Copy(data, result, data.Length);
Blas.Daxpy(Length, otherCoefficient, otherVector.data, 0, 1, result, 0, 1);
}
else if (otherCoefficient == 1.0)
{
Array.Copy(otherVector.data, result, data.Length);
Blas.Daxpy(data.Length, thisCoefficient, this.data, 0, 1, result, 0, 1);
}
else
{
Array.Copy(data, result, data.Length);
BlasExtensions.Daxpby(Length, otherCoefficient, otherVector.data, 0, 1, thisCoefficient, result, 0, 1);
}
return(new Vector(result));
}
public SymmetricMatrix LinearCombination(double thisCoefficient, SymmetricMatrix otherMatrix, double otherCoefficient)
{
Preconditions.CheckSameMatrixDimensions(this, otherMatrix);
//TODO: Perhaps this should be done using mkl_malloc and BLAS copy.
double[] result = new double[data.Length];
if (thisCoefficient == 1.0)
{
Array.Copy(this.data, result, data.Length);
Blas.Daxpy(data.Length, otherCoefficient, otherMatrix.data, 0, 1, result, 0, 1);
}
else if (otherCoefficient == 1.0)
{
Array.Copy(otherMatrix.data, result, data.Length);
Blas.Daxpy(data.Length, thisCoefficient, this.data, 0, 1, result, 0, 1);
}
else
{
Array.Copy(this.data, result, data.Length);
BlasExtensions.Daxpby(data.Length, otherCoefficient, otherMatrix.data, 0, 1, thisCoefficient, result, 0, 1);
}
return(new SymmetricMatrix(result, NumColumns, DefiniteProperty.Unknown));
}
/// <summary>
/// Performs the following operation for 0 <= j < <see cref="Order"/>, 0 <= i <= j:
/// result[i, j] = <paramref name="thisCoefficient"/> * this[i, j]
/// + <paramref name="otherCoefficient"/> * <paramref name="otherMatrix"/>[i, j].
/// The resulting matrix is written to a new <see cref="TriangularUpper"/> and then returned.
/// </summary>
/// <param name="thisCoefficient">A scalar that multiplies each entry of this <see cref="TriangularUpper"/>.</param>
/// <param name="otherMatrix">A matrix with the same <see cref="Order"/> as this <see cref="TriangularUpper"/>
/// instance.</param>
/// <param name="otherCoefficient">A scalar that multiplies each entry of <paramref name="otherMatrix"/>.</param>
/// <exception cref="NonMatchingDimensionsException">Thrown if <paramref name="otherMatrix"/> has different
/// <see cref="Order"/> than this instance.</exception>
public TriangularUpper LinearCombination(double thisCoefficient, TriangularUpper otherMatrix, double otherCoefficient)
{
Preconditions.CheckSameMatrixDimensions(this, otherMatrix);
//TODO: Perhaps this should be done using mkl_malloc and BLAS copy.
double[] result = new double[data.Length];
if (thisCoefficient == 1.0)
{
Array.Copy(this.data, result, data.Length);
Blas.Daxpy(data.Length, otherCoefficient, otherMatrix.data, 0, 1, result, 0, 1);
}
else if (otherCoefficient == 1.0)
{
Array.Copy(otherMatrix.data, result, data.Length);
Blas.Daxpy(data.Length, thisCoefficient, this.data, 0, 1, result, 0, 1);
}
else
{
Array.Copy(this.data, result, data.Length);
BlasExtensions.Daxpby(data.Length, otherCoefficient, otherMatrix.data, 0, 1, thisCoefficient, result, 0, 1);
}
return(new TriangularUpper(result, NumColumns));
}