Logarithmic increment - c#

Is there a method or command to increment logarithmic?
So how I can increment Integer:
int i = 0
while (i < 100)
{
i++
}
result: 1, 2, 3 ... ,100
Up to now I'm doing this:
double i = 0;
while (i < 100)
{
if (i >= 10)
{
i += 10;
}
else if (i >= 1 & i < 10)
{
i += 1;
}
else if (i >= 0.1 & i < 1)
{
i += 0.1;
}
else if (i < 0.1)
{
i += 0.01;
}
}
result: 0.1, 0.2, 0.3 ... 1, 2, 3 .... 10, 20, 30 ... 100
With a bigger range from 0.001 - 1000 is that troublesome
The second question is:
If i = 0.05 and I increment i += 0.01 then is the result 0.060000000000000005. Why it increment 0.010000000000000005 and not 0.01?

you could shorten your code with two for next loops, leave al the if/elses and replace them with a Math.Pow. n defines the granularity (n^-2 = 0,01)
int n,m;
for( n=-2 ; n < 3; n++ )
{
for( m= 1 ; m < 10 ; m++ )
{
Console.WriteLine(m * Math.Pow(10,n));
}
}
result:
0,01 , 0,02 , 0,03 , 0,04 , 0,05 , 0,06 , 0,07 , 0,08 , 0,09 , 0,1 , 0,2 , 0,3 , 0,4 , 0,5 , 0,6 , 0,7 , 0,8 , 0,9 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , 90 , 100 , 200 , 300 , 400 , 500 , 600 , 700 , 800 , 900

Related

How to get Key of Value that is greater than three Values above and below

I've got a sortedDict = new SortedDictionary<double,double>();
And I'm trying to get the Key of the Value that is greater than the three Values above and three Values below but I don't know how.
sortedDict looks like this:
{
1.10 , 20
1.09 , 75
1.08 , 32
1.07 , 440 ------> This Value is greater than the Values of 3 keys above and below
1.06 , 200
1.05 , 160
1.04 , 130
1.03 , 250 ------> This Value is greater than the Values of 3 keys above and below
1.02 , 62
1.01 , 73
1.00 , 15
}
Output: (How do I get this?)
1.07
1.03
Any help will be greatly appreciated.
I deleted my earlier answer to post this. It's working code to do what you're asking
static void Main(string[] args)
{
var sortedDict = new SortedDictionary<double, double>()
{ {
1.10 , 20 },{
1.09 , 75 },{
1.08 , 32 },{
1.07 , 440},{
1.06 , 200},{
1.05 , 160},{
1.04 , 130},{
1.03 , 250},{
1.02 , 62 },{
1.01 , 73 },{
1.00 , 15 }
};
var totalLen = sortedDict.Count;
for(var i = 0; i < sortedDict.Count; i++)
{
var val = sortedDict.ElementAt(i);
if (i - 3 >= 0 && i + 3 < totalLen)
{
if (
sortedDict.ElementAt(i - 3).Value < val.Value &&
sortedDict.ElementAt(i - 2).Value < val.Value &&
sortedDict.ElementAt(i - 1).Value < val.Value &&
sortedDict.ElementAt(i + 1).Value < val.Value &&
sortedDict.ElementAt(i + 2).Value < val.Value &&
sortedDict.ElementAt(i + 3).Value < val.Value
)
{
Console.WriteLine(val.Key);
}
}
}
}

How the row wise calculation made in the C# wpf?

In the following image the opening balance of the each row is:
the sum of the above column if it is credit
the minus of the above column if it is debit
How can it be done in c#
For example:
credit debit OpenBal
1. 100 - 0 - 100
2. 90 - 0 - 190
3. 100 - 0 - 290
4. 0 - 50 - 240
5. 0 - 100 - 140
6. 150 - 0 - 290
There are many possibilities, depending on when/how/where the values should be calculated.
The following example demonstrates how you could realize the calculation in a very simple case when the OpenBalance is calculated directly after the data is loaded und you don't have to refresh the OpenBalance:
"Load" data:
var tbl = new DataTable();
tbl.Columns.Add( "credit", typeof( decimal ) );
tbl.Columns.Add( "debit", typeof( decimal ) );
tbl.Columns.Add( "OpenBal", typeof( decimal ) );
tbl.Rows.Add( 100, 0 );
tbl.Rows.Add( 90, 0 );
tbl.Rows.Add( 100, 0 );
tbl.Rows.Add( 0, 50 );
tbl.Rows.Add( 0, 100 );
tbl.Rows.Add( 150, 0 );
Calculate Open Balance:
for ( int i = 0; i < tbl.Rows.Count; i++ )
{
var row = tbl.Rows[i];
if ( i == 0 )
row["OpenBal"] = (decimal)row["credit"] - (decimal)row["debit"];
else
{
var previousRow = tbl.Rows[i-1];
row["OpenBal"] = (decimal)previousRow["OpenBal"] + ( decimal)row["credit"] - (decimal)row["debit"];
}
}

Sequence Alignment Algorithm with a group of characters instead of one character

Summary:
I'm beginning with some details about alignment algorithms, and at the end, I ask my question. If you know about alignment algorithm pass the beginning.
Consider we have two strings like:
ACCGAATCGA
ACCGGTATTAAC
There is some algorithms like: Smith-Waterman Or Needleman–Wunsch, that align this two sequence and create a matrix. take a look at the result in the following section:
Smith-Waterman Matrix
§ § A C C G A A T C G A
§ 0 0 0 0 0 0 0 0 0 0 0
A 0 4 0 0 0 4 4 0 0 0 4
C 0 0 13 9 4 0 4 3 9 4 0
C 0 0 9 22 17 12 7 3 12 7 4
G 0 0 4 17 28 23 18 13 8 18 13
G 0 0 0 12 23 28 23 18 13 14 18
T 0 0 0 7 18 23 28 28 23 18 14
A 0 4 0 2 13 22 27 28 28 23 22
T 0 0 3 0 8 17 22 32 27 26 23
T 0 0 0 2 3 12 17 27 31 26 26
A 0 4 0 0 2 7 16 22 27 31 30
A 0 4 4 0 0 6 11 17 22 27 35
C 0 0 13 13 8 3 6 12 26 22 30
Optimal Alignments
A C C G A - A T C G A
A C C G G A A T T A A
Question:
My question is simple, but maybe the answer is not easy as it looks. I want to use a group of character as a single one like: [A0][C0][A1][B1]. But in these algorithms, we have to use individual characters. How can we achieve that?
P.S. Consider we have this sequence: #read #write #add #write. Then I convert this to something like that: #read to A .... #write to B.... #add to C. Then my sequence become to: ABCB. But I have a lot of different words that start with #. And the ASCII table is not enough to convert all of them. Then I need more characters. the only way is to use something like [A0] ... [Z9] for each word. OR to use numbers.
P.S: some sample code for Smith-Waterman is exist in this link
P.S: there is another post that want something like that, but what I want is different. In this question, we have a group of character that begins with a [ and ends with ]. And no need to use semantic like ee is equal to i.
I adapted this Python implementation (GPL version 3 licensed) of both the Smith-Waterman and the Needleman-Wunsch algorithms to support sequences with multiple character groups:
#This software is a free software. Thus, it is licensed under GNU General Public License.
#Python implementation to Smith-Waterman Algorithm for Homework 1 of Bioinformatics class.
#Forrest Bao, Sept. 26 <http://fsbao.net> <forrest.bao aT gmail.com>
# zeros() was origianlly from NumPy.
# This version is implemented by alevchuk 2011-04-10
def zeros(shape):
retval = []
for x in range(shape[0]):
retval.append([])
for y in range(shape[1]):
retval[-1].append(0)
return retval
match_award = 10
mismatch_penalty = -5
gap_penalty = -5 # both for opening and extanding
gap = '----' # should be as long as your group of characters
space = ' ' # should be as long as your group of characters
def match_score(alpha, beta):
if alpha == beta:
return match_award
elif alpha == gap or beta == gap:
return gap_penalty
else:
return mismatch_penalty
def finalize(align1, align2):
align1 = align1[::-1] #reverse sequence 1
align2 = align2[::-1] #reverse sequence 2
i,j = 0,0
#calcuate identity, score and aligned sequeces
symbol = []
found = 0
score = 0
identity = 0
for i in range(0,len(align1)):
# if two AAs are the same, then output the letter
if align1[i] == align2[i]:
symbol.append(align1[i])
identity = identity + 1
score += match_score(align1[i], align2[i])
# if they are not identical and none of them is gap
elif align1[i] != align2[i] and align1[i] != gap and align2[i] != gap:
score += match_score(align1[i], align2[i])
symbol.append(space)
found = 0
#if one of them is a gap, output a space
elif align1[i] == gap or align2[i] == gap:
symbol.append(space)
score += gap_penalty
identity = float(identity) / len(align1) * 100
print 'Identity =', "%3.3f" % identity, 'percent'
print 'Score =', score
print ''.join(align1)
# print ''.join(symbol)
print ''.join(align2)
def needle(seq1, seq2):
m, n = len(seq1), len(seq2) # length of two sequences
# Generate DP table and traceback path pointer matrix
score = zeros((m+1, n+1)) # the DP table
# Calculate DP table
for i in range(0, m + 1):
score[i][0] = gap_penalty * i
for j in range(0, n + 1):
score[0][j] = gap_penalty * j
for i in range(1, m + 1):
for j in range(1, n + 1):
match = score[i - 1][j - 1] + match_score(seq1[i-1], seq2[j-1])
delete = score[i - 1][j] + gap_penalty
insert = score[i][j - 1] + gap_penalty
score[i][j] = max(match, delete, insert)
# Traceback and compute the alignment
align1, align2 = [], []
i,j = m,n # start from the bottom right cell
while i > 0 and j > 0: # end toching the top or the left edge
score_current = score[i][j]
score_diagonal = score[i-1][j-1]
score_up = score[i][j-1]
score_left = score[i-1][j]
if score_current == score_diagonal + match_score(seq1[i-1], seq2[j-1]):
align1.append(seq1[i-1])
align2.append(seq2[j-1])
i -= 1
j -= 1
elif score_current == score_left + gap_penalty:
align1.append(seq1[i-1])
align2.append(gap)
i -= 1
elif score_current == score_up + gap_penalty:
align1.append(gap)
align2.append(seq2[j-1])
j -= 1
# Finish tracing up to the top left cell
while i > 0:
align1.append(seq1[i-1])
align2.append(gap)
i -= 1
while j > 0:
align1.append(gap)
align2.append(seq2[j-1])
j -= 1
finalize(align1, align2)
def water(seq1, seq2):
m, n = len(seq1), len(seq2) # length of two sequences
# Generate DP table and traceback path pointer matrix
score = zeros((m+1, n+1)) # the DP table
pointer = zeros((m+1, n+1)) # to store the traceback path
max_score = 0 # initial maximum score in DP table
# Calculate DP table and mark pointers
for i in range(1, m + 1):
for j in range(1, n + 1):
score_diagonal = score[i-1][j-1] + match_score(seq1[i-1], seq2[j-1])
score_up = score[i][j-1] + gap_penalty
score_left = score[i-1][j] + gap_penalty
score[i][j] = max(0,score_left, score_up, score_diagonal)
if score[i][j] == 0:
pointer[i][j] = 0 # 0 means end of the path
if score[i][j] == score_left:
pointer[i][j] = 1 # 1 means trace up
if score[i][j] == score_up:
pointer[i][j] = 2 # 2 means trace left
if score[i][j] == score_diagonal:
pointer[i][j] = 3 # 3 means trace diagonal
if score[i][j] >= max_score:
max_i = i
max_j = j
max_score = score[i][j];
align1, align2 = [], [] # initial sequences
i,j = max_i,max_j # indices of path starting point
#traceback, follow pointers
while pointer[i][j] != 0:
if pointer[i][j] == 3:
align1.append(seq1[i-1])
align2.append(seq2[j-1])
i -= 1
j -= 1
elif pointer[i][j] == 2:
align1.append(gap)
align2.append(seq2[j-1])
j -= 1
elif pointer[i][j] == 1:
align1.append(seq1[i-1])
align2.append(gap)
i -= 1
finalize(align1, align2)
If we run this with the following input:
seq1 = ['[A0]', '[C0]', '[A1]', '[B1]']
seq2 = ['[A0]', '[A1]', '[B1]', '[C1]']
print "Needleman-Wunsch"
needle(seq1, seq2)
print
print "Smith-Waterman"
water(seq1, seq2)
We get this output:
Needleman-Wunsch
Identity = 60.000 percent
Score = 20
[A0][C0][A1][B1]----
[A0]----[A1][B1][C1]
Smith-Waterman
Identity = 75.000 percent
Score = 25
[A0][C0][A1][B1]
[A0]----[A1][B1]
For the specific changes I made, see: this GitHub repository.
Imagine we have a log file with alphabetic sequences. Like something you said, I converted sequences to A0A1... . For example, if there was a sequence like #read #write #add #write, it converted to A0A1A2A1. Every time, I read two character and compare them but keep score matrix like before. Here is my code in C# for smith-waterman string alignment.
Notice that Cell is a user defined class.
private void alignment()
{
string strSeq1;
string strSeq2;
string strTemp1;
string strTemp2;
scoreMatrix = new int[Log.Length, Log.Length];
// Lists That Holds Alignments
List<char> SeqAlign1 = new List<char>();
List<char> SeqAlign2 = new List<char>();
for (int i = 0; i<Log.Length; i++ )
{
for (int j=i+1 ; j<Log.Length; j++)
{
strSeq1 = "--" + logFile.Sequence(i);
strSeq2 = "--" + logFile.Sequence(j);
//prepare Matrix for Computing optimal alignment
Cell[,] Matrix = DynamicProgramming.Intialization_Step(strSeq1, strSeq2, intSim, intNonsim, intGap);
// Trace back matrix from end cell that contains max score
DynamicProgramming.Traceback_Step(Matrix, strSeq1, strSeq2, SeqAlign1, SeqAlign2);
this.scoreMatrix[i, j] = DynamicProgramming.intMaxScore;
strTemp1 = Reverse(string.Join("", SeqAlign1));
strTemp2 = Reverse(string.Join("", SeqAlign2));
}
}
}
class DynamicProgramming
{
public static Cell[,] Intialization_Step(string Seq1, string Seq2,int Sim,int NonSimilar,int Gap)
{
int M = Seq1.Length / 2 ;//Length+1//-AAA //Changed: /2
int N = Seq2.Length / 2 ;//Length+1//-AAA
Cell[,] Matrix = new Cell[N, M];
//Intialize the first Row With Gap Penality Equal To Zero
for (int i = 0; i < Matrix.GetLength(1); i++)
{
Matrix[0, i] = new Cell(0, i, 0);
}
//Intialize the first Column With Gap Penality Equal To Zero
for (int i = 0; i < Matrix.GetLength(0); i++)
{
Matrix[i, 0] = new Cell(i, 0, 0);
}
// Fill Matrix with each cell has a value result from method Get_Max
for (int j = 1; j < Matrix.GetLength(0); j++)
{
for (int i = 1; i < Matrix.GetLength(1); i++)
{
Matrix[j, i] = Get_Max(i, j, Seq1, Seq2, Matrix,Sim,NonSimilar,Gap);
}
}
return Matrix;
}
public static Cell Get_Max(int i, int j, string Seq1, string Seq2, Cell[,] Matrix,int Similar,int NonSimilar,int GapPenality)
{
Cell Temp = new Cell();
int intDiagonal_score;
int intUp_Score;
int intLeft_Score;
int Gap = GapPenality;
//string temp1, temp2;
//temp1 = Seq1[i*2].ToString() + Seq1[i*2 + 1]; temp2 = Seq2[j*2] + Seq2[j*2 + 1].ToString();
if ((Seq1[i * 2] + Seq1[i * 2 + 1]) == (Seq2[j * 2] + Seq2[j * 2 + 1])) //Changed: +
{
intDiagonal_score = Matrix[j - 1, i - 1].CellScore + Similar;
}
else
{
intDiagonal_score = Matrix[j - 1, i - 1].CellScore + NonSimilar;
}
//Calculate gap score
intUp_Score = Matrix[j - 1, i].CellScore + GapPenality;
intLeft_Score = Matrix[j, i - 1].CellScore + GapPenality;
if (intDiagonal_score<=0 && intUp_Score<=0 && intLeft_Score <= 0)
{
return Temp = new Cell(j, i, 0);
}
if (intDiagonal_score >= intUp_Score)
{
if (intDiagonal_score>= intLeft_Score)
{
Temp = new Cell(j, i, intDiagonal_score, Matrix[j - 1, i - 1], Cell.PrevcellType.Diagonal);
}
else
{
Temp = new Cell(j, i, intDiagonal_score, Matrix[j , i - 1], Cell.PrevcellType.Left);
}
}
else
{
if (intUp_Score >= intLeft_Score)
{
Temp = new Cell(j, i, intDiagonal_score, Matrix[j - 1, i], Cell.PrevcellType.Above);
}
else
{
Temp = new Cell(j, i, intDiagonal_score, Matrix[j , i - 1], Cell.PrevcellType.Left);
}
}
if (MaxScore.CellScore <= Temp.CellScore)
{
MaxScore = Temp;
}
return Temp;
}
public static void Traceback_Step(Cell[,] Matrix, string Sq1, string Sq2, List<char> Seq1, List<char> Seq2)
{
intMaxScore = MaxScore.CellScore;
while (MaxScore.CellPointer != null)
{
if (MaxScore.Type == Cell.PrevcellType.Diagonal)
{
Seq1.Add(Sq1[MaxScore.CellColumn * 2 + 1]); //Changed: All of the following lines with *2 and +1
Seq1.Add(Sq1[MaxScore.CellColumn * 2]);
Seq2.Add(Sq2[MaxScore.CellRow * 2 + 1]);
Seq2.Add(Sq2[MaxScore.CellRow * 2]);
}
if (MaxScore.Type == Cell.PrevcellType.Left)
{
Seq1.Add(Sq1[MaxScore.CellColumn * 2 + 1]);
Seq1.Add(Sq1[MaxScore.CellColumn * 2]);
Seq2.Add('-');
}
if (MaxScore.Type == Cell.PrevcellType.Above)
{
Seq1.Add('-');
Seq2.Add(Sq2[MaxScore.CellRow * 2 + 1]);
Seq2.Add(Sq2[MaxScore.CellRow * 2]);
}
MaxScore = MaxScore.CellPointer;
}
}
}

How to implement if statement within the specific row and column of text file?

I have text file like
Time amplitude index
1 0,25 25
2 0,68 28
3 -2,5 69
4 2,5 94
5 3 45
6 5 26
What in need to get is this.
Time amplitude index classified
1 0,25 25 1
2 0,68 28 1
3 -2,5 69 2
4 2,5 94 1
5 3 45 1
6 5 26 1
It need to write additional column (classified) with statement 1 (column classified) we classifies that amplitude is increasing during the time, with statement 2 (column classified) we classifies that amplitude is decreasing during the time. I have a big text file and it need to be written in new text file. I was try with code like this:
private void button3_Click(object sender, EventArgs e)
{
StreamReader dat = new StreamReader(textBox1.Text, System.Text.Encoding.Default);
StreamWriter sw = new StreamWriter(textBox2.Text, true);
{
while (!dat.EndOfStream)
{
string mainLine1 = dat.ReadLine();
string[] originalLine1 = mainLine1.Split(new string[] { "\t" }, StringSplitOptions.None);
for (int i = 1; i < mainLine1.Length; i++)
{
if (originalLine1[i] > originalLine1[i-1])
{
sw.WriteLine(originalLine1[0] + "\t" + originalLine1[1] + "\t"+"1");
}
}
}
sw.Close();
}
I know that the code is not right but that is what I figured it.
Solve the problem. If Someone need it.
Example tex file:
1
2
3
2
1
-1
-2
-3
-2
-1
1
2
3
Need to get additional column and write tex file:
1 1
2 1
3 1
2 2
1 2
-1 3
-2 3
-3 3
-2 4
-1 4
1 1
2 1
3 1
Code
string niz;
int j=0;
string[] vrstica, vrstica_prej=null;
while (!dat.EndOfStream)
{
niz = dat.ReadLine();
vrstica = niz.Split('\t');
j++;
if (j < 2)
{
sw.WriteLine(vrstica[0] + "\t" + vrstica[1] + "\t" + "0");
}
else
{
double a = Convert.ToDouble(vrstica[0]);
double a_pre = Convert.ToDouble(vrstica_prej[0]);
if (a > a_pre && a > 0)
{sw.WriteLine(vrstica[0] + "\t" + "1"); }
else if (a < a_pre && a > 0)
{sw.WriteLine(vrstica[0] + "\t" + "2"); }
else if (a < a_pre && a < 0)
{sw.WriteLine(vrstica[0] +"\t" + "3"); }
else if (a > a_pre && a < 0)
{sw.WriteLine(vrstica[0] + "\t" + "4"); }
}
vrstica_prej = vrstica;
}
}
sw.Close();
I hope someone will be glad for it.

How to iterate through a grid algorithm

I am looking for an algorithm that can iterate through a grid and transform it into another grid with the indexes in a new order.
Basically, given a grid of size n*m:
1_1 1_2 1_3 ... 1_n
2_1 2_2 2_3 ... 2_n
.
.
.
m_1 m_2 m_3 ... m_m
How could I transform it to:
1_1 1_2 1_4 ...
1_3 1_5 ...
1_6 ...
...
.
.
.
Assume, you iterate through the first grid, going left to right in the top row, then
left to right in the second row, all the way to, left to right in the bottom row.
Basically I pushing the elements into an upper triangle.
Another problem is how do I figure out the length and width of the grid used to store the triangle just by knowing what n and m is?
Is there a formula for that?
For example, a grid of 5*6, gets changed to 8*7...
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
becomes:
1 2 4 7 11 16 22 29
3 5 8 12 17 23 30
6 9 13 18 24
10 14 19 25
15 20 26
21 27
28
The following seems to work for me:
public static T[,] ConvertToUpperTriangle<T>(T[,] arr)
{
// calculate the dimensions
int elements = arr.GetLength(0) * arr.GetLength(1);
double rows = 0.5 * (Math.Sqrt(8 * elements + 1) - 1);
int newHeight = (int)rows;
int newWidth = (int)Math.Ceiling(rows);
// create the new array
var arr2 = new T[newHeight, newWidth];
int j = 0;
int i = 0;
foreach (T element in arr)
{
arr2[j, i] = element;
i--;
j++;
if (i < 0)
{
i = j;
j = 0;
}
}
return arr2;
}
The 0.5 * (Math.Sqrt(8 * elements + 1) - 1) comes from running sum from 1 to n of n and then solve a = 0.5 * n * (n + 1) for n through Wolfram Alpha.
Edit:
You can get the indices i and j for a given index as follows:
int rows = (int)(0.5 * (Math.Sqrt(8 * index + 1) - 1));
int bottomLeft = (int)(0.5 * rows * (rows + 1));
int difference = index - bottomLeft;
int i;
int j;
if (bottomLeft == index)
{
i = 0;
j = rows - 1;
}
else
{
i = rows + 1 - difference;
j = difference - 1;
}
Let's define the "ordinal position" O(i,j) of each grid element (i,j) in a starting grid NxM, which is the function (i,j) -> i*N + j.
Now for the largest triangular number less than O(i,j), call it T == (k(k+1)/2 for some k, the new grid position for our (i,j) will be:
(i,j) -> ( O(i,j) - T, k + T - O(i,j) )
Now substitute for O(i,j) and T to get:
(i,j) -> ( i*N + j - k(k+1)/2, k + (k+1)(k+2)/2 - i*N + j)
= ( i*N + j - k(k+1)/2, (k+1)(k+2)/2 - i*N + j)
That's as far as I can get it just now.
Update:
Note again that k is the side-length for the triangualr number T == k(k+1)/2.

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