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I'm trying to solve a non square linear system with Math.net.
But I get an error Matrix dimensions must agree: 3x7.
Here is some example code:
using MathNet.Numerics.LinearAlgebra;
var mBuilder = Matrix<double>.Build;
var vBuilder = Vector<double>.Build;
var A = mBuilder.DenseOfArray(new double[,]
{
{ 3, 2, 1, 5, -1, 0, 0 },
{ 2, 1, 1, 2, 0, -1, 0 },
{ 5, 1, 3, 4, 0, 0, -1 }
});
var b = vBuilder.DenseOfArray(new double[] { -3, -5, -2 });
Vector<double> x;
x = A.Solve(b);
Cleary the system has a solution (e.g. X = {0, 0, 0, 0, 3, 5, 2}).
How can I solve such a system with Math.Net?
You can not use the Matrix.Solve function with a non-square matrix because there is no inverse and no unique solutions for a rectangular matrix. Google "inverse of rectangular matrix" for explanations galore. You can use pseudoinverse however, as shown below.
var mBuilder = Matrix<double>.Build;
var A = mBuilder.DenseOfArray(new double[,]
{
{ 3, 2, 1, 5, -1, 0, 0 },
{ 2, 1, 1, 2, 0, -1, 0 },
{ 5, 1, 3, 4, 0, 0, -1 }
});
Matrix<double> b = Matrix<double>.Build.Dense(3, 1);
b[0, 0] = -3.0;
b[1, 0] = -5.0;
b[2, 0] = -2.0;
var p = A.PseudoInverse();
var x = p * b;
// verify
var o = A * x;
I have a list of integer list like -
List<List<int>> dataList = new List<List<int>> {
new List<int>{ 0, 2, 4, 7 },
new List<int>{ 1, 6, 3 },
new List<int>{ 2, 0, 7, 9 },
new List<int>{ 3, 1, 6 },
new List<int>{ 4, 0, 2 },
new List<int>{ 5, 2, 7 },
};
I want to merge all the list those have duplicates and generate a list of integer list where no values should be common in any list.
The output should be like--
0, 2, 4, 5, 7, 9
1, 3, 6
If you want one single list, then you can do this:
// flatten your list:
var newList = new List<int>();
foreach (var list in output) {
newList.AddRange(list);
}
// make sure every number is only once in that list:
newList.Distinct() // here is linq!
var output = new List<List<int>>();
output.Add(newList);
Let's say I have a multidimensional array:
var arr = new double[2, 5, 5]
{
{
{ 1, 1, 1, 1, 1 },
{ 1, 1, 1, 1, 1 },
{ 1, 1, 1, 1, 1 },
{ 1, 1, 1, 1, 1 },
{ 1, 1, 1, 1, 1 }
},
{
{ 1, 1, 1, 1, 1 },
{ 1, 2, 2, 2, 1 },
{ 1, 2, 2, 2, 1 },
{ 1, 2, 2, 2, 1 },
{ 1, 1, 1, 1, 1 }
},
};
I want to copy 3 by 3 part of that array starting from index [1,1,1] till index [1,3,3] (all 2 values).
What is the most efficient way of doing so ? So far, I do it with a loop:
var arr2 = new int[3, 3];
int x_start = 1;
int y_start = 1;
for (int i = 0; i < arr2.GetLength(0); i++)
{
for (int j = 0; j < arr2.GetLength(1); j++)
{
arr2[i, j] = arr[1, x_start + i, y_start + j];
}
}
But I wonder if there is a more efficient way of doing it ?
poke already made the same point in their comment, but this is essentially the best way of doing this.
That’s the most efficient way to do it. You are using fast loops and only loop over those indexes you are interested in. - poke
You could possibly cache the two GetLength() calls in an integer, but I doubt that'd make any meaningful difference in performance.
I am trying to keep all the combinations (5C1, 5C2, 5C3, 5C4, 5C5) of 1,2,3,4,5 into individual array. So I need to create dynamic array using for loop in c#.
Say for example,
Here n = 5 and r = 1 to 5.
if r = 1 then
My array will be single dimensional array, when r = 2 then it will be two dimensional array, when r = 3 then three dimensional, when r = 4 then four dimensional array and it will e continued up to end of 5.
My code is given below
string[] ShipArrayObj;
public frmResult( string[] ShipArray )
{
InitializeComponent();
ShipArrayObj = ShipArray;
}
private void frmResult_Load(object sender, EventArgs e)
{
string[] arr = ShipArrayObj;
int n = ShipArrayObj.Count();
for (int r = 1; r <= n; r++)
{
StoreCombination(arr, n, r);
richTextBox1.Text = richTextBox1.Text + "/";
}
}
void StoreCombination(string[] arr, int n, int r)
{
string[] data = new string[r];
createCombination (arr, data, 0, n - 1, 0, r);
}
private void createCombination(string[] arr, string[] data, int start, int end, int index, int r)
{
if (index == r)
{
int j = 0;
for (j = 0; j < r; j++)
richTextBox1.Text = richTextBox1.Text + data[j].ToString();//Where I want to set array to keep combination values
return;
}
int i = 0;
for (i = start; i <= end && end - i + 1 >= r - index; i++)
{
data[index] = arr[i];
CreateCombination(arr, data, i + 1, end, index + 1, r);
}
}
I am storing all the combination into a Rich Text Box, but want to keep into array. If anybody help me then I will be grateful to you.
If you're used to something like Java then multidimensional arrays are a little different in syntax in C#.
Here's a page describing how to do them in C#. Here's a snippet from said page:
// Two-dimensional array.
int[,] array2D = new int[,] { { 1, 2 }, { 3, 4 }, { 5, 6 }, { 7, 8 } };
// The same array with dimensions specified.
int[,] array2Da = new int[4, 2] { { 1, 2 }, { 3, 4 }, { 5, 6 }, { 7, 8 } };
// A similar array with string elements.
string[,] array2Db = new string[3, 2] { { "one", "two" }, { "three", "four" },
{ "five", "six" } };
// Three-dimensional array.
int[, ,] array3D = new int[,,] { { { 1, 2, 3 }, { 4, 5, 6 } },
{ { 7, 8, 9 }, { 10, 11, 12 } } };
// The same array with dimensions specified.
int[, ,] array3Da = new int[2, 2, 3] { { { 1, 2, 3 }, { 4, 5, 6 } },
{ { 7, 8, 9 }, { 10, 11, 12 } } };
If you're interested in different combinations of things with a fixed number of them, something like this should be all you need.
If you're interested in different combinations of things with a dynamic number of them, something like this should be all you need.
(Unless you're trying to optimize performance, it's better to be readable/expressive, generally speaking.)
You may need to consider whether or not order matters (un-ordered set vs. ordered list). I would assume it doesn't from your code (in which case sorting is good to eliminate "duplicates"), but I can't tell for sure.
Here's a good example that's easy to read and modify for variations and isn't so bad for small numbers:
// -1, 0, ..., 5
var choices = Enumerable.Range(-1, 6);
var possibleChoices =
from a in choices
from b in choices
from c in choices
from d in choices
from e in choices
select (IEnumerable<int>)new [] { a, b, c, d, e };
// Remove -1's because they represent not being in the choice.
possibleChoices =
possibleChoices.Select(c => c.Where(d => d >= 0));
// Remove choices that have non-unique digits.
possibleChoices =
possibleChoices.Where(c => c.Distinct().Count() == c.Count());
// Sort the choices to indicate order doesn't matter
possibleChoices =
possibleChoices.Select(c => c.OrderBy(d => d));
// Remove duplicates
possibleChoices =
possibleChoices.Select(c => new
{
Key = string.Join(",", c),
Choice = c
}).
GroupBy(c => c.Key).
Select(g => g.FirstOrDefault().Choice);
foreach (var choice in possibleChoices) {
Console.Out.WriteLine(string.Join(", ", choice));
}
Output:
0
1
2
3
4
0, 1
0, 2
0, 3
0, 4
1, 2
1, 3
1, 4
2, 3
2, 4
3, 4
0, 1, 2
0, 1, 3
0, 1, 4
0, 2, 3
0, 2, 4
0, 3, 4
1, 2, 3
1, 2, 4
1, 3, 4
2, 3, 4
0, 1, 2, 3
0, 1, 2, 4
0, 1, 3, 4
0, 2, 3, 4
1, 2, 3, 4
0, 1, 2, 3, 4
This is probably a little more dense to understand, hard-coded to this specific variation of combination and involves recursion but is a bit more generic/isn't hard-coded to 5 (and took 0.047s on dotnetfiddle.net instead of 0.094s). It's also completely lazy/IEnumerable.
public static void Main()
{
var possibleChoices = Choose(5);
foreach (var choice in possibleChoices) {
Console.Out.WriteLine(string.Join(", ", choice));
}
}
public static IEnumerable<IEnumerable<int>> Choose(int max)
{
var remaining = Enumerable.Range(0, max);
return ChooseRecursive(remaining, Enumerable.Empty<int>());
}
public static IEnumerable<IEnumerable<int>> ChooseRecursive(IEnumerable<int> remaining, IEnumerable<int> chosen)
{
yield return chosen;
foreach (var digit in remaining)
{
var choices = ChooseRecursive(
remaining.Where(d => d > digit),
chosen.Concat(new [] { digit })
);
foreach (var choice in choices)
{
yield return choice;
}
}
}
Output:
0
0, 1
0, 1, 2
0, 1, 2, 3
0, 1, 2, 3, 4
0, 1, 2, 4
0, 1, 3
0, 1, 3, 4
0, 1, 4
0, 2
0, 2, 3
0, 2, 3, 4
0, 2, 4
0, 3
0, 3, 4
0, 4
1
1, 2
1, 2, 3
1, 2, 3, 4
1, 2, 4
1, 3
1, 3, 4
1, 4
2
2, 3
2, 3, 4
2, 4
3
3, 4
4
I have this code:
int[] ivrArray = { 1, 0, 0, 0};
int[] agentsArray = { 0, 2, 0, 0 };
int[] abandonedArray = { 0, 0, 3, 0};
int[] canceledArray = { 0, 0, 0, 4};
Dictionary<string, int[]> dictionary = new Dictionary<string, int[]>()
{
{ "IVR", ivrArray },
{ "Agents", agentsArray },
{ "Abandoned", abandonedArray },
{ "Cancelled", canceledArray },
};
The output is
{
"IVR": [
1,
0,
0,
0
],
"Agents": [
0,
2,
0,
0
],
"Abandoned": [
0,
0,
3,
0
],
"Cancelled": [
0,
0,
0,
4
]
}
Is there anyway so the output will be like this:
"Cancelled":[
[0],
[0],
[0],
[4]
]
So each element is array of one element
You can re-project your arrays to a Dictionary<string, int[][]> like so:
var dictionary = new Dictionary<string, int[][]>
{
{"IVR", ivrArray.Select(_ => new[] {_}).ToArray()},
{"Agents", agentsArray.Select(_ => new[] {_}).ToArray()},
{"Abandoned", abandonedArray.Select(_ => new[] {_}).ToArray()},
{ "Cancelled",canceledArray.Select(_ => new[] {_}).ToArray()}
};
(and I guess if you didn't want the local vars, then
...
{"IVR", new [] { 1, 0, 0, 0 }.Select(_ => new[] {_}).ToArray()},
...
you can do like this using Jagged Arrays concept:
for example:
int[] list1 = new int[4] { 1, 2, 3, 4};
int[] list2 = new int[4] { 5, 6, 7, 8};
int[] list3 = new int[4] { 1, 3, 2, 1 };
int[] list4 = new int[4] { 5, 4, 3, 2 };
int[][] lists = new int[][] { list1 , list2 , list3 , list4 };
and in dictionary:
Dictionary<string, int[][]> items= new Dictionary<string, int[][]>;
here is MSDN documentation:
http://msdn.microsoft.com/en-us/library/2s05feca.aspx