public void AddVectorsDiffSizeTest()
{
var vector1 = new Vector(new[] { new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(7), new Number(1), new Number(3) });
var result = vector1.Add(vector2);
}
public void AddVectorsDiffSizeTest()
{
var vector1 = new Vector(new[] { new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(7), new Number(1), new Number(3) });
Assert.Throws<ArgumentException>(() => vector1.Add(vector2));
}
/// <summary>
/// Initializes a new instance of the <see cref="Matrix"/> class.
/// </summary>
/// <param name="args">The arguments.</param>
/// <exception cref="System.ArgumentNullException"><paramref name="args"/> is null.</exception>
/// <exception cref="System.ArgumentException"></exception>
public Matrix(Vector[] args)
: base(args, args.Length)
{
if (args == null)
throw new ArgumentNullException(nameof(args));
if (args.Length < 1)
throw new ArgumentException();
}
public void CrossProductToStringTest()
{
var left = new Matrices.Vector(new[] { new Number(1), new Number(-2) });
var right = new Matrices.Vector(new[] { new Number(4), new Number(0) });
var exp = new CrossProduct(left, right);
Assert.Equal("crossProduct({1, -2}, {4, 0})", exp.ToString(commonFormatter));
}
/// <summary>
/// Initializes a new instance of the <see cref="Matrix"/> class.
/// </summary>
/// <param name="matrixSize">The size of the matrix.</param>
/// <param name="vectorSize">The size of the vector.</param>
public Matrix(int matrixSize, int vectorSize)
: base(null, matrixSize)
{
var vectors = new Vector[matrixSize];
for (var i = 0; i < vectors.Length; i++)
vectors[i] = new Vector(vectorSize);
Arguments = vectors;
}
public void MulByNumberVectorTest()
{
var vector = new Vector(new[] { new Number(2), new Number(3) });
var number = new Number(5);
var expected = new Vector(new[] { new Number(10), new Number(15) });
var result = vector.Mul(number);
Assert.Equal(expected, result);
}
public void AddVectorsTest()
{
var vector1 = new Vector(new[] { new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(7), new Number(1) });
var expected = new Vector(new[] { new Number(9), new Number(4) });
var result = vector1.Add(vector2);
Assert.Equal(expected, result);
}
public void SubTwoVectorsTest()
{
var vector1 = new Vector(new[] { new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(7), new Number(1) });
var sub = new Sub(vector1, vector2);
var expected = new Vector(new[] { new Number(-5), new Number(2) });
var result = sub.Calculate();
Assert.AreEqual(expected, result);
}
public void AddTwoVectorsTest()
{
var vector1 = new Vector(new[] { new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(7), new Number(1) });
var add = new Add(vector1, vector2);
var expected = new Vector(new[] { new Number(9), new Number(4) });
var result = add.Calculate();
Assert.AreEqual(expected, result);
}
public void MultiOpMulMul()
{
// ({1, 2, 3} * 2) * 4
var vector = new Vector(new[] { new Number(1), new Number(2), new Number(3) });
var mul1 = new Mul(vector, new Number(2));
var mul2 = new Mul(mul1, new Number(4));
var expected = new Vector(new[] { new Number(8), new Number(16), new Number(24) });
var result = mul2.Calculate();
Assert.AreEqual(expected, result);
}
public void MultiOpAddMul()
{
// ({2, 3, 4} + {1, 2, 3}) * 4
var vector1 = new Vector(new[] { new Number(1), new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(2), new Number(3), new Number(4) });
var add = new Add(vector2, vector1);
var mul = new Mul(add, new Number(4));
var expected = new Vector(new[] { new Number(12), new Number(20), new Number(28) });
var result = mul.Execute();
Assert.Equal(expected, result);
}
/// <summary>
/// Adds the <paramref name="right"/> vector to the <paramref name="left"/> vector.
/// </summary>
/// <param name="left">The left vector.</param>
/// <param name="right">The right vector.</param>
/// <param name="parameters">An object that contains all parameters and functions for expressions.</param>
/// <returns>The sum of matrices.</returns>
/// <exception cref="System.ArgumentException">The size of matrices is invalid.</exception>
public static Vector Add(this Vector left, Vector right, ExpressionParameters parameters)
{
if (left.ParametersCount != right.ParametersCount)
throw new ArgumentException(Resource.MatrixArgException);
var exps = new IExpression[left.ParametersCount];
Parallel.For(0, left.ParametersCount,
i => exps[i] = new Number((double)left.Arguments[i].Execute(parameters) + (double)right.Arguments[i].Execute(parameters))
);
return new Vector(exps);
}
public void ExecuteVectorTest()
{
var vector = new Vector(new[] { new Number(1), new Number(2) });
var expected = new Matrix(new[]
{
new Vector(new[] { new Number(1) }),
new Vector(new[] { new Number(2) })
});
var exp = new Transpose(vector);
Assert.Equal(expected, exp.Execute());
}
public void MultiOpMulAdd()
{
// ({1, 2, 3} * 4) + {2, 3, 4}
var vector1 = new Vector(new[] { new Number(1), new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(2), new Number(3), new Number(4) });
var mul = new Mul(vector1, new Number(4));
var add = new Add(mul, vector2);
var expected = new Vector(new[] { new Number(6), new Number(11), new Number(16) });
var result = add.Execute();
Assert.Equal(expected, result);
}
public void ExecuteTest2()
{
var exp = new Del(new Add(new Add(new Mul(new Number(2), new Variable("x1")), new Pow(new Variable("x2"), new Number(2))), new Pow(new Variable("x3"), new Number(3))));
exp.Differentiator = new Differentiator();
exp.Simplifier = new Simplifier();
var expected = new Vector(new IExpression[] {
new Number(2),
new Mul(new Number(2), new Variable("x2")),
new Mul(new Number(3), new Pow(new Variable("x3"), new Number(2)))
});
Assert.Equal(expected, exp.Execute());
}
/// <summary>
/// Adds the <paramref name="right"/> vector to the <paramref name="left"/> vector.
/// </summary>
/// <param name="left">The left vector.</param>
/// <param name="right">The right vector.</param>
/// <param name="parameters">An object that contains all parameters and functions for expressions.</param>
/// <returns>The sum of matrices.</returns>
/// <exception cref="System.ArgumentException">The size of matrices is invalid.</exception>
public static Vector Add(this Vector left, Vector right, ExpressionParameters parameters)
{
if (left.ParametersCount != right.ParametersCount)
throw new ArgumentException(Resource.MatrixArgException);
var exps = new IExpression[left.ParametersCount];
#if NET40_OR_GREATER
Parallel.For(0, left.ParametersCount,
i => exps[i] = new Number((double)left.Arguments[i].Calculate(parameters) + (double)right.Arguments[i].Calculate(parameters))
);
#else
for (int i = 0; i < left.ParametersCount; i++)
exps[i] = new Number((double)left.Arguments[i].Calculate(parameters) + (double)right.Arguments[i].Calculate(parameters));
#endif
return new Vector(exps);
}
/// <summary>
/// Adds the <paramref name="right"/> matrix to the <paramref name="left"/> matrix.
/// </summary>
/// <param name="left">The left matrix.</param>
/// <param name="right">The right matrix.</param>
/// <param name="parameters">An object that contains all parameters and functions for expressions.</param>
/// <returns>The sum of matrices.</returns>
/// <exception cref="System.ArgumentException">The size of matrices is invalid.</exception>
public static Matrix Add(this Matrix left, Matrix right, ExpressionParameters parameters)
{
if (left.ParametersCount != right.ParametersCount || left.SizeOfVectors != right.SizeOfVectors)
throw new ArgumentException(Resource.MatrixArgException);
var vectors = new Vector[left.ParametersCount];
#if NET40_OR_GREATER
Parallel.For(0, left.ParametersCount, i =>
{
var exps = new IExpression[left.SizeOfVectors];
for (int j = 0; j < left.SizeOfVectors; j++)
exps[j] = new Number((double)left[i][j].Calculate(parameters) + (double)right[i][j].Calculate(parameters));
vectors[i] = new Vector(exps);
});
#else
for (int i = 0; i < left.ParametersCount; i++)
{
var exps = new IExpression[left.SizeOfVectors];
for (int j = 0; j < left.SizeOfVectors; j++)
exps[j] = new Number((double)left[i][j].Calculate(parameters) + (double)right[i][j].Calculate(parameters));
vectors[i] = new Vector(exps);
}
#endif
return new Matrix(vectors);
}
/// <summary>
/// Transposes the specified vector.
/// </summary>
/// <param name="vector">The vector.</param>
/// <returns>The transposed matrix.</returns>
public static Matrix Transpose(this Vector vector)
{
var vectors = new Vector[vector.ParametersCount];
#if NET40_OR_GREATER
Parallel.For(0, vectors.Length, i => vectors[i] = new Vector(new[] { vector[i] }));
#else
for (int i = 0; i < vectors.Length; i++)
vectors[i] = new Vector(new[] { vector[i] });
#endif
return new Matrix(vectors);
}
/// <summary>
/// Subtracts the <paramref name="right"/> vector from the <paramref name="left"/> vector.
/// </summary>
/// <param name="left">The left vector.</param>
/// <param name="right">The right vector.</param>
/// <returns>The difference of matrices.</returns>
public static Vector Sub(this Vector left, Vector right)
{
return Sub(left, right, null);
}
/// <summary>
/// Adds the <paramref name="right"/> vector to the <paramref name="left"/> vector.
/// </summary>
/// <param name="left">The left vector.</param>
/// <param name="right">The right vector.</param>
/// <returns>The sum of matrices.</returns>
public static Vector Add(this Vector left, Vector right)
{
return Add(left, right, null);
}
/// <summary>
/// Multiplies the <paramref name="left" /> matrix by the <paramref name="right" /> vector.
/// </summary>
/// <param name="left">The left matrix.</param>
/// <param name="right">The right vector.</param>
/// <returns>
/// The product of matrices.
/// </returns>
public static Matrix Mul(this Matrix left, Vector right)
{
return Mul(left, right, null);
}
/// <summary>
/// Multiplies the <paramref name="left" /> matrix by the <paramref name="right" /> vector.
/// </summary>
/// <param name="left">The left matrix.</param>
/// <param name="right">The right vector.</param>
/// <param name="parameters">An object that contains all parameters and functions for expressions.</param>
/// <returns>
/// The product of matrices.
/// </returns>
/// <exception cref="System.ArgumentException">The size of matrices is invalid.</exception>
public static Matrix Mul(this Matrix left, Vector right, ExpressionParameters parameters)
{
var matrix = new Matrix(new[] { right });
return left.Mul(matrix, parameters);
}
public void MulByNumberMatrixTest()
{
var vector1 = new Vector(new[] { new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(9), new Number(5) });
var matrix = new Matrix(new[] { vector1, vector2 });
var number = new Number(5);
var expected = new Matrix(new[]
{
new Vector(new[] { new Number(10), new Number(15) }),
new Vector(new[] { new Number(45), new Number(25) })
});
var result = matrix.Mul(number);
Assert.AreEqual(expected, result);
}
static double Absolute(Vector vec, ExpressionParameters parameters)
{
return Math.Sqrt(
vec.Arguments.Sum ( a => Math.Pow (
( double ) a.Calculate ( parameters ), 2 ) ) );
}
public void MultiOpSubMul()
{
// ({2, 3, 4} - {1, 2, 3}) * 4
var vector1 = new Vector(new[] { new Number(1), new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(2), new Number(3), new Number(4) });
var sub = new Sub(vector2, vector1);
var mul = new Mul(sub, new Number(4));
var expected = new Vector(new[] { new Number(4), new Number(4), new Number(4) });
var result = mul.Execute();
Assert.Equal(expected, result);
}
public void MatrixMulVectorTest()
{
var vector = new Vector(new[] { new Number(-2), new Number(1) });
var matrix = new Matrix(new[]
{
new Vector(new[] { new Number(3) }),
new Vector(new[] { new Number(-1) })
});
var expected = new Matrix(new[]
{
new Vector(new[] { new Number(-6), new Number(3) }),
new Vector(new[] { new Number(2), new Number(-1) })
});
var result = matrix.Mul(vector);
Assert.AreEqual(expected, result);
}
public void SubVectorsTest()
{
var vector1 = new Vector(new[] { new Number(2), new Number(3) });
var vector2 = new Vector(new[] { new Number(7), new Number(1) });
var expected = new Vector(new[] { new Number(-5), new Number(2) });
var result = vector1.Sub(vector2);
Assert.Equal(expected, result);
}
/// <summary>
/// Adds the <paramref name="right"/> matrix to the <paramref name="left"/> matrix.
/// </summary>
/// <param name="left">The left matrix.</param>
/// <param name="right">The right matrix.</param>
/// <param name="parameters">An object that contains all parameters and functions for expressions.</param>
/// <returns>The sum of matrices.</returns>
/// <exception cref="System.ArgumentException">The size of matrices is invalid.</exception>
public static Matrix Add(this Matrix left, Matrix right, ExpressionParameters parameters)
{
if (left.ParametersCount != right.ParametersCount || left.SizeOfVectors != right.SizeOfVectors)
throw new ArgumentException(Resource.MatrixArgException);
var vectors = new Vector[left.ParametersCount];
Parallel.For(0, left.ParametersCount, i =>
{
var exps = new IExpression[left.SizeOfVectors];
for (int j = 0; j < left.SizeOfVectors; j++)
exps[j] = new Number((double)left[i][j].Execute(parameters) + (double)right[i][j].Execute(parameters));
vectors[i] = new Vector(exps);
});
return new Matrix(vectors);
}
public void TransposeVectorTest()
{
var vector = new Vector(new[] { new Number(1), new Number(2) });
var expected = new Matrix(new[]
{
new Vector(new[] { new Number(1) }),
new Vector(new[] { new Number(2) })
});
var result = vector.Transpose();
Assert.Equal(expected, result);
}
/// <summary>
/// Transposes the specified vector.
/// </summary>
/// <param name="vector">The vector.</param>
/// <returns>The transposed matrix.</returns>
public static Matrix Transpose(this Vector vector)
{
var vectors = new Vector[vector.ParametersCount];
Parallel.For(0, vectors.Length, i => vectors[i] = new Vector(new[] { vector[i] }));
return new Matrix(vectors);
}
public void VectorMulMatrixTest()
{
var vector = new Vector(new[] { new Number(-2), new Number(1) });
var matrix = new Matrix(new[]
{
new Vector(new[] { new Number(3) }),
new Vector(new[] { new Number(-1) })
});
var expected = new Matrix(new[] { new Vector(new[] { new Number(-7) }) });
var result = vector.Mul(matrix);
Assert.Equal(expected, result);
}