/// <summary>
/// Negates vector and saves result to <paramref name="result"/>
/// </summary>
/// <param name="result">Target vector</param>
protected override void DoNegate(Vector <double> result)
{
var sparseResult = result as SparseVector;
if (sparseResult == null)
{
result.Clear();
for (var index = 0; index < _storage.ValueCount; index++)
{
result.At(_storage.Indices[index], -_storage.Values[index]);
}
return;
}
if (!ReferenceEquals(this, result))
{
sparseResult._storage.ValueCount = _storage.ValueCount;
sparseResult._storage.Indices = new int[_storage.ValueCount];
Buffer.BlockCopy(_storage.Indices, 0, sparseResult._storage.Indices, 0, _storage.ValueCount * Constants.SizeOfInt);
sparseResult._storage.Values = new double[_storage.ValueCount];
Array.Copy(_storage.Values, 0, sparseResult._storage.Values, 0, _storage.ValueCount);
}
LinearAlgebraControl.Provider.ScaleArray(-1.0d, sparseResult._storage.Values, sparseResult._storage.Values);
}
/// <summary>
/// Multiplies a scalar to each element of the vector and stores the result in the result vector.
/// </summary>
/// <param name="scalar">
/// The scalar to multiply.
/// </param>
/// <param name="result">
/// The vector to store the result of the multiplication.
/// </param>
protected override void DoMultiply(double scalar, Vector <double> result)
{
var sparseResult = result as SparseVector;
if (sparseResult == null)
{
result.Clear();
for (var index = 0; index < _storage.ValueCount; index++)
{
result.At(_storage.Indices[index], scalar * _storage.Values[index]);
}
}
else
{
if (!ReferenceEquals(this, result))
{
sparseResult._storage.ValueCount = _storage.ValueCount;
sparseResult._storage.Indices = new int[_storage.ValueCount];
Buffer.BlockCopy(_storage.Indices, 0, sparseResult._storage.Indices, 0, _storage.ValueCount * Constants.SizeOfInt);
sparseResult._storage.Values = new double[_storage.ValueCount];
Array.Copy(_storage.Values, 0, sparseResult._storage.Values, 0, _storage.ValueCount);
}
Control.LinearAlgebraProvider.ScaleArray(scalar, sparseResult._storage.Values, sparseResult._storage.Values);
}
}
/// <summary>
/// Multiplies a scalar to each element of the vector and stores the result in the result vector.
/// </summary>
/// <param name="scalar">
/// The scalar to multiply.
/// </param>
/// <param name="result">
/// The vector to store the result of the multiplication.
/// </param>
protected override void DoMultiply(double scalar, Vector <double> result)
{
var sparseResult = result as SparseVector;
if (sparseResult == null)
{
result.Clear();
for (var index = 0; index < _storage.ValueCount; index++)
{
result.At(_storage.Indices[index], scalar * _storage.Values[index]);
}
}
else
{
if (!ReferenceEquals(this, result))
{
sparseResult._storage.ValueCount = _storage.ValueCount;
sparseResult._storage.Indices = new int[_storage.ValueCount];
Array.Copy(_storage.Indices, 0, sparseResult._storage.Indices, 0, _storage.ValueCount);
sparseResult._storage.Values = new double[_storage.ValueCount];
Array.Copy(_storage.Values, 0, sparseResult._storage.Values, 0, _storage.ValueCount);
}
Map(x => x * scalar, result, Zeros.AllowSkip);
}
}
/// <summary>
/// Negates vector and saves result to <paramref name="result"/>
/// </summary>
/// <param name="result">Target vector</param>
protected override void DoNegate(Vector <double> result)
{
var sparseResult = result as SparseVector;
if (sparseResult == null)
{
result.Clear();
for (var index = 0; index < _storage.ValueCount; index++)
{
result.At(_storage.Indices[index], -_storage.Values[index]);
}
return;
}
if (!ReferenceEquals(this, result))
{
sparseResult._storage.ValueCount = _storage.ValueCount;
sparseResult._storage.Indices = new int[_storage.ValueCount];
byte[] sourcebytes = new byte[_storage.Indices.Length * 8];
sourcebytes = _storage.Indices.SelectMany(value => BitConverter.GetBytes(value)).ToArray();
Array.Copy(_storage.Indices, 0, sparseResult._storage.Indices, 0, _storage.ValueCount);
sparseResult._storage.Values = new double[_storage.ValueCount];
Array.Copy(_storage.Values, 0, sparseResult._storage.Values, 0, _storage.ValueCount);
}
Map(x => - x, result, Zeros.AllowSkip);
}
/// <summary>
/// Computes the remainder (% operator), where the result has the sign of the dividend,
/// for each element of the vector for the given divisor.
/// </summary>
/// <param name="divisor">The scalar denominator to use.</param>
/// <param name="result">A vector to store the results in.</param>
protected override void DoRemainder(double divisor, Vector <double> result)
{
if (ReferenceEquals(this, result))
{
for (var index = 0; index < _storage.ValueCount; index++)
{
_storage.Values[index] %= divisor;
}
}
else
{
result.Clear();
for (var index = 0; index < _storage.ValueCount; index++)
{
result.At(_storage.Indices[index], _storage.Values[index] % divisor);
}
}
}
/// <summary>
/// Computes the canonical modulus, where the result has the sign of the divisor,
/// for each element of the vector for the given divisor.
/// </summary>
/// <param name="divisor">The scalar denominator to use.</param>
/// <param name="result">A vector to store the results in.</param>
protected override void DoModulus(double divisor, Vector <double> result)
{
if (ReferenceEquals(this, result))
{
for (var index = 0; index < _storage.ValueCount; index++)
{
_storage.Values[index] = Euclid.Modulus(_storage.Values[index], divisor);
}
}
else
{
result.Clear();
for (var index = 0; index < _storage.ValueCount; index++)
{
result.At(_storage.Indices[index], Euclid.Modulus(_storage.Values[index], divisor));
}
}
}
/// <summary>
/// Left multiply a matrix with a vector ( = vector * matrix ) and place the result in the result vector.
/// </summary>
/// <param name="leftSide">The vector to multiply with.</param>
/// <param name="result">The result of the multiplication.</param>
/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
/// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
/// <exception cref="ArgumentException">If <strong>result.Count != this.ColumnCount</strong>.</exception>
/// <exception cref="ArgumentException">If <strong>this.RowCount != <paramref name="leftSide"/>.Count</strong>.</exception>
public override void LeftMultiply(Vector <double> leftSide, Vector <double> result)
{
if (leftSide == null)
{
throw new ArgumentNullException("leftSide");
}
if (RowCount != leftSide.Count)
{
throw DimensionsDontMatch <ArgumentException>(this, leftSide, "leftSide");
}
if (result == null)
{
throw new ArgumentNullException("result");
}
if (ColumnCount != result.Count)
{
throw DimensionsDontMatch <ArgumentException>(this, result, "result");
}
if (ReferenceEquals(leftSide, result))
{
var tmp = result.CreateVector(result.Count);
LeftMultiply(leftSide, tmp);
tmp.CopyTo(result);
}
else
{
// Clear the result vector
result.Clear();
// Multiply the elements in the vector with the corresponding diagonal element in this.
for (var r = 0; r < _data.Length; r++)
{
result[r] = _data[r] * leftSide[r];
}
}
}
/// <summary>
/// Copies the requested row elements into a new <see cref="Vector{T}"/>.
/// </summary>
/// <param name="rowIndex">The row to copy elements from.</param>
/// <param name="columnIndex">The column to start copying from.</param>
/// <param name="length">The number of elements to copy.</param>
/// <param name="result">The <see cref="Vector{T}"/> to copy the column into.</param>
/// <exception cref="ArgumentNullException">If the result <see cref="Vector{T}"/> is <see langword="null" />.</exception>
/// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is negative,
/// or greater than or equal to the number of columns.</exception>
/// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is negative,
/// or greater than or equal to the number of rows.</exception>
/// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> + <paramref name="length"/>
/// is greater than or equal to the number of rows.</exception>
/// <exception cref="ArgumentOutOfRangeException">If <paramref name="length"/> is not positive.</exception>
/// <exception cref="ArgumentOutOfRangeException">If <strong>result.Count < length</strong>.</exception>
public override void Row(int rowIndex, int columnIndex, int length, Vector <double> result)
{
if (result == null)
{
throw new ArgumentNullException("result");
}
if (rowIndex >= RowCount || rowIndex < 0)
{
throw new ArgumentOutOfRangeException("rowIndex");
}
if (columnIndex >= ColumnCount || columnIndex < 0)
{
throw new ArgumentOutOfRangeException("columnIndex");
}
if (columnIndex + length > ColumnCount)
{
throw new ArgumentOutOfRangeException("length");
}
if (length < 1)
{
throw new ArgumentOutOfRangeException("length", Resources.ArgumentMustBePositive);
}
if (result.Count < length)
{
throw new ArgumentOutOfRangeException("result", Resources.ArgumentVectorsSameLength);
}
// Clear the result and copy the diagonal entry.
result.Clear();
if (rowIndex >= columnIndex && rowIndex < columnIndex + length && rowIndex < _data.Length)
{
result[rowIndex - columnIndex] = _data[rowIndex];
}
}
/// <summary>
/// Subtracts another vector to this vector and stores the result into the result vector.
/// </summary>
/// <param name="other">
/// The vector to subtract from this one.
/// </param>
/// <param name="result">
/// The vector to store the result of the subtraction.
/// </param>
protected override void DoSubtract(Vector <double> other, Vector <double> result)
{
if (ReferenceEquals(this, other))
{
result.Clear();
return;
}
var otherSparse = other as SparseVector;
if (otherSparse == null)
{
base.DoSubtract(other, result);
return;
}
var resultSparse = result as SparseVector;
if (resultSparse == null)
{
base.DoSubtract(other, result);
return;
}
// TODO (ruegg, 2011-10-11): Options to optimize?
var otherStorage = otherSparse._storage;
if (ReferenceEquals(this, resultSparse))
{
int i = 0, j = 0;
while (j < otherStorage.ValueCount)
{
if (i >= _storage.ValueCount || _storage.Indices[i] > otherStorage.Indices[j])
{
var otherValue = otherStorage.Values[j];
if (otherValue != 0.0)
{
_storage.InsertAtIndexUnchecked(i++, otherStorage.Indices[j], -otherValue);
}
j++;
}
else if (_storage.Indices[i] == otherStorage.Indices[j])
{
// TODO: result can be zero, remove?
_storage.Values[i++] -= otherStorage.Values[j++];
}
else
{
i++;
}
}
}
else
{
result.Clear();
int i = 0, j = 0, last = -1;
while (i < _storage.ValueCount || j < otherStorage.ValueCount)
{
if (j >= otherStorage.ValueCount || i < _storage.ValueCount && _storage.Indices[i] <= otherStorage.Indices[j])
{
var next = _storage.Indices[i];
if (next != last)
{
last = next;
result.At(next, _storage.Values[i] - otherSparse.At(next));
}
i++;
}
else
{
var next = otherStorage.Indices[j];
if (next != last)
{
last = next;
result.At(next, At(next) - otherStorage.Values[j]);
}
j++;
}
}
}
}