public void SolveMatrix_Graph1_CorrectAnswer()
{
/* Graph
* (1)
* / \
* 3 2
* / \
* (0)--2--(2)
*/
var matrix = new float[, ]
{
{ 0, 3, 2 },
{ 3, 0, 2 },
{ 2, 2, 0 },
};
/* Expected MST
* (1)
* \
* 2
* \
* (0)--2--(2)
*/
var expected = new[, ]
{
{ float.PositiveInfinity, float.PositiveInfinity, 2 },
{ float.PositiveInfinity, float.PositiveInfinity, 2 },
{ 2, 2, float.PositiveInfinity },
};
for (var i = 0; i < matrix.GetLength(0); i++)
{
PrimMatrix.Solve(matrix, i).Cast <float>().SequenceEqual(expected.Cast <float>()).Should().BeTrue();
}
}
public void SolveMatrix_Graph4_CorrectAnswer()
{
/* Graph
* (0)--7--(1)--8--(2)
* \ / \ /
* 5 9 7 5
* \ / \ /
* (3)--15-(4)
* \ / \
* 6 8 9
* \ / \
* (5)--11-(6)
*/
var matrix = new[, ]
{
{ 0, 7, float.PositiveInfinity, 5, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ 7, 0, 8, 9, 7, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 8, 0, float.PositiveInfinity, 5, float.PositiveInfinity, float.PositiveInfinity },
{ 5, 9, float.PositiveInfinity, 0, 15, 6, float.PositiveInfinity },
{ float.PositiveInfinity, 7, 5, 15, 0, 8, 9 },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 6, 8, 0, 11 },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 9, 11, 0 },
};
/* Expected MST
* (0)--7--(1) (2)
* \ \ /
* 5 7 5
* \ \ /
* (3) (4)
* \ \
* 6 9
* \ \
* (5) (6)
*/
var expected = new[, ]
{
{ float.PositiveInfinity, 7, float.PositiveInfinity, 5, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ 7, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 7, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 5, float.PositiveInfinity, float.PositiveInfinity },
{ 5, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 6, float.PositiveInfinity },
{ float.PositiveInfinity, 7, 5, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 9 },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 6, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 9, float.PositiveInfinity, float.PositiveInfinity },
};
for (var i = 0; i < matrix.GetLength(0); i++)
{
PrimMatrix.Solve(matrix, i).Cast <float>().SequenceEqual(expected.Cast <float>()).Should().BeTrue();
}
}
public void ValidateMatrix_DirectedGraph_ThrowsException()
{
// Nodes 1 and 2 have a directed edge
var matrix = new[, ]
{
{ 0, float.PositiveInfinity, 4, float.PositiveInfinity, float.PositiveInfinity },
{ 3, 0, 5, 6, 2 },
{ 4, 5, 0, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 6, float.PositiveInfinity, 0, float.PositiveInfinity },
{ float.PositiveInfinity, 2, float.PositiveInfinity, float.PositiveInfinity, 0 },
};
Assert.Throws <ArgumentException>(() => PrimMatrix.Solve(matrix, 0));
}
public void ValidateMatrix_UnconnectedGraph_ThrowsException()
{
// Last node does not connect to any other nodes
var matrix = new[, ]
{
{ 0, 3, 4, float.PositiveInfinity, float.PositiveInfinity },
{ 3, 0, 5, 6, 2 },
{ 4, 5, 0, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 6, float.PositiveInfinity, 0, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 0 },
};
Assert.Throws <ArgumentException>(() => PrimMatrix.Solve(matrix, 0));
}
public void SolveMatrix_Graph2_CorrectAnswer()
{
/* Graph
* (0) (4)
* |\ /
* | 3 2
* | \ /
* 4 (1)
* | / \
* | 5 6
* |/ \
* (2) (3)
*/
var matrix = new[, ]
{
{ 0, 3, 4, float.PositiveInfinity, float.PositiveInfinity },
{ 3, 0, 5, 6, 2 },
{ 4, 5, 0, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 6, float.PositiveInfinity, 0, float.PositiveInfinity },
{ float.PositiveInfinity, 2, float.PositiveInfinity, float.PositiveInfinity, 0 },
};
/* Expected MST
* (0) (4)
* |\ /
* | 3 2
* | \ /
* 4 (1)
* | \
* | 6
* | \
* (2) (3)
*/
var expected = new[, ]
{
{ float.PositiveInfinity, 3, 4, float.PositiveInfinity, float.PositiveInfinity },
{ 3, float.PositiveInfinity, float.PositiveInfinity, 6, 2 },
{ 4, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 6, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 2, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
};
for (var i = 0; i < matrix.GetLength(0); i++)
{
PrimMatrix.Solve(matrix, i).Cast <float>().SequenceEqual(expected.Cast <float>()).Should().BeTrue();
}
}
public void SolveMatrix_Graph3_CorrectAnswer()
{
/* Graph
* (0)--3--(2) (4)--2--(5)
* \ / \ /
* 4 1 4 6
* \ / \ /
* (1)--2--(3)
*/
var matrix = new[, ]
{
{ 0, 4, 3, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ 4, 0, 1, 2, float.PositiveInfinity, float.PositiveInfinity },
{ 3, 1, 0, 4, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 2, 4, 0, 6, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 6, 0, 2 },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 2, 0 },
};
/* Graph
* (0)--3--(2) (4)--2--(5)
* / /
* 1 6
* / /
* (1)--2--(3)
*/
var expected = new[, ]
{
{ float.PositiveInfinity, float.PositiveInfinity, 3, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, 1, 2, float.PositiveInfinity, float.PositiveInfinity },
{ 3, 1, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 2, float.PositiveInfinity, float.PositiveInfinity, 6, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 6, float.PositiveInfinity, 2 },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 2, float.PositiveInfinity },
};
for (var i = 0; i < matrix.GetLength(0); i++)
{
PrimMatrix.Solve(matrix, i).Cast <float>().SequenceEqual(expected.Cast <float>()).Should().BeTrue();
}
}
public void ValidateMatrix_WrongSize_ThrowsException()
{
// Wrong number of columns
var matrix = new[, ]
{
{ 0, 3, 4, float.PositiveInfinity },
{ 3, 0, 5, 6 },
{ 4, 5, 0, float.PositiveInfinity },
{ float.PositiveInfinity, 6, float.PositiveInfinity, 0 },
{ float.PositiveInfinity, 2, float.PositiveInfinity, float.PositiveInfinity },
};
Assert.Throws <ArgumentException>(() => PrimMatrix.Solve(matrix, 0));
// Wrong number of rows
matrix = new[, ]
{
{ 0, 3, 4, float.PositiveInfinity, float.PositiveInfinity },
{ 3, 0, 5, 6, 2 },
{ 4, 5, 0, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 6, float.PositiveInfinity, 0, float.PositiveInfinity },
};
Assert.Throws <ArgumentException>(() => PrimMatrix.Solve(matrix, 0));
}
public void SolveMatrix_Graph5_CorrectAnswer()
{
/* Graph
* (0)--8--(1)--15-(2)
* |\ / __/|\
* | 4 5 __25 13 12
* | \ /__/ | \
* 10 (3)----14---(4) (5)
* | / \ _/| /
* | 9 6 __16 18 30
* |/ \ / |/
* (6)--18-(7)--20-(8)
*/
var matrix = new[, ]
{
{ 0, 8, float.PositiveInfinity, 4, float.PositiveInfinity, float.PositiveInfinity, 10, float.PositiveInfinity, float.PositiveInfinity },
{ 8, 0, 15, 5, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ float.PositiveInfinity, 15, 0, 25, 13, 12, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity },
{ 4, 5, 25, 0, 14, float.PositiveInfinity, 9, 6, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, 13, 14, 0, float.PositiveInfinity, float.PositiveInfinity, 16, 18 },
{ float.PositiveInfinity, float.PositiveInfinity, 12, float.PositiveInfinity, float.PositiveInfinity, 0, float.PositiveInfinity, float.PositiveInfinity, 30 },
{ 10, float.PositiveInfinity, float.PositiveInfinity, 9, float.PositiveInfinity, float.PositiveInfinity, 0, 18, float.PositiveInfinity },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 6, 16, float.PositiveInfinity, 18, 0, 20 },
{ float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, float.PositiveInfinity, 18, 30, float.PositiveInfinity, 20, 0 },
};
/* Expected MST
* (0) (1) (2)
* \ / |\
* 4 5 13 12
* \ / | \
* (3)----14---(4) (5)
* / \ |
* 9 6 18
* / \ |
* (6) (7) (8)
*/
var expected = new[, ]
{
{
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
4,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
},
{
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
5,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
},
{
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
13,
12,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
},
{
4,
5,
float.PositiveInfinity,
float.PositiveInfinity,
14,
float.PositiveInfinity,
9,
6,
float.PositiveInfinity,
},
{
float.PositiveInfinity,
float.PositiveInfinity,
13,
14,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
18,
},
{
float.PositiveInfinity,
float.PositiveInfinity,
12,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
},
{
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
9,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
},
{
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
6,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
},
{
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
18,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
float.PositiveInfinity,
},
};
for (var i = 0; i < matrix.GetLength(0); i++)
{
PrimMatrix.Solve(matrix, i).Cast <float>().SequenceEqual(expected.Cast <float>()).Should().BeTrue();
}
}
