Hey
I have been trying to figure out how to sum rows and columns in a matrix square. I also have been trying to get the program to list the numbers of the diagonal in the matrix. So far this is the code I have (I am using Python): -
def generate (rows, cols): # This just prints the coordinates and the number that goes in it, It also prints the matrix in a square
-
import random
-
m = {}
-
for r in range(rows):
-
for c in range(cols):
-
m[r,c]=random.randrange(100)
-
print m
-
-
print "\n"
-
-
for r in range(rows):
-
for c in range (cols):
-
print str(m[r,c]).rjust(4),
-
print
-
return m
-
-
def rowsum(m): # This is summing the row
-
results = []
-
for row in len(m):
-
results=sum(m(row)) # I think this is were my problem is
-
return results
-
-
def columnsum(m): # This is summing the column
-
rows = len(m)
-
cols = len(m[0]) # I think this is were my other problem is
-
result = []
-
for c in range(cols):
-
sum = 0
-
for r in range(rows):
-
sum += m[r][c]
-
result.append(sum)
-
return result
-
-
def diagonal(m): # This shows the numbers from the top left to bottom right diagonal
-
diagonal = []
-
rows = len(m)
-
for row in range(rows):
-
diagonal.append(m[row][row]) # I think this is were my final problem is
-
return diagonal
-
The error I am getting is about my rows, columns and diagonals being strings and not numbers. I can do all the summing of the rows and columns and show the numbers in the diagonal just fine using lists. I know the dictionary form of summing the rows and columns and showing the numbers in the diagonal are very similar to the list form, but for the love of me I just can't figure it out. If someone has any ideas on how to best sum the rows and columns and show the numbers in the diagonal the help would be appreciated.
7 14955 bartonc 6,596
Recognized Expert Expert
Hey
I have been trying to figure out how to sum rows and columns in a matrix square. I also have been trying to get the program to list the numbers of the diagonal in the matrix. So far this is the code I have (I am using Python): -
def generate (rows, cols): # This just prints the coordinates and the number that goes in it, It also prints the matrix in a square
-
import random
-
m = {}
-
for r in range(rows):
-
for c in range(cols):
-
m[r,c]=random.randrange(100)
-
print m
-
-
print "\n"
-
-
for r in range(rows):
-
for c in range (cols):
-
print str(m[r,c]).rjust(4),
-
print
-
return m
-
-
def rowsum(m): # This is summing the row
-
results = []
-
for row in len(m):
-
results=sum(m(row)) # I think this is were my problem is
-
return results
-
-
def columnsum(m): # This is summing the column
-
rows = len(m)
-
cols = len(m[0]) # I think this is were my other problem is
-
result = []
-
for c in range(cols):
-
sum = 0
-
for r in range(rows):
-
sum += m[r][c]
-
result.append(sum)
-
return result
-
-
def diagonal(m): # This shows the numbers from the top left to bottom right diagonal
-
diagonal = []
-
rows = len(m)
-
for row in range(rows):
-
diagonal.append(m[row][row]) # I think this is were my final problem is
-
return diagonal
-
The error I am getting is about my rows, columns and diagonals being strings and not numbers. I can do all the summing of the rows and columns and show the numbers in the diagonal just fine using lists. I know the dictionary form of summing the rows and columns and showing the numbers in the diagonal are very similar to the list form, but for the love of me I just can't figure it out. If someone has any ideas on how to best sum the rows and columns and show the numbers in the diagonal the help would be appreciated.
I've added CODE tags to your post. More on that later.
The syntax
creates an empty dictionary. For matrix work, you'll want to install the NumPy package.
I'll post an example shortly.
Thanks for joining the Python Forum on TheScripts.com.
bartonc 6,596
Recognized Expert Expert
I've added CODE tags to your post. More on that later.
The syntax
creates an empty dictionary. For matrix work, you'll want to install the NumPy package.
I'll post an example shortly.
Thanks for joining the Python Forum on TheScripts.com.
Here is the download page for SciPy and NumPy.
bartonc 6,596
Recognized Expert Expert
I've added CODE tags to your post. More on that later.
The syntax
creates an empty dictionary. For matrix work, you'll want to install the NumPy package.
I'll post an example shortly.
Thanks for joining the Python Forum on TheScripts.com.
- import random
-
import numpy
-
-
-
-
-
def generate (rows, cols): # This just prints the coordinates and the number that goes in it, It also prints the matrix in a square
-
## m = {}
-
m = numpy.zeros((rows, cols), int)
-
for r in range(rows):
-
for c in range(cols):
-
m[r, c] = random.randrange(100)
-
## print m
-
##
-
## print "\n"
-
##
-
## for r in range(rows):
-
## for c in range (cols):
-
## print str(m[r,c]).rjust(4),
-
## print
-
return m
-
-
matrix = generate(4, 4)
-
print matrix
-
[[72 69 51 67]
[65 14 39 51]
[84 54 6 2]
[67 13 3 54]]
bartonc 6,596
Recognized Expert Expert Here is the download page for SciPy and NumPy.
Here's a native python list version: -
def NativeZeros(nRows, nCols):
-
return [[0 for row in range(nRows)] for col in range(nCols)]
-
-
-
-
matrix = NativeZeros(4, 4)
-
print matrix
-
matrix[2][2] = 11
-
for item in matrix:
-
print item
[[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 11, 0]
[0, 0, 0, 0]
bartonc 6,596
Recognized Expert Expert
Here's a native python list version: -
def NativeZeros(nRows, nCols):
-
return [[0 for row in range(nRows)] for col in range(nCols)]
-
-
-
-
matrix = NativeZeros(4, 4)
-
print matrix
-
matrix[2][2] = 11
-
for item in matrix:
-
print item
[[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 11, 0]
[0, 0, 0, 0]
These techniques use a thing called list comprehension. Here's an example of using one to sum the entire matrix: -
def NativeZeros(nRows, nCols):
-
return [range(nRows) for col in range(nCols)]
-
-
-
-
matrix = NativeZeros(4, 4)
-
print matrix
-
print sum([sum(row) for row in matrix])
[[0, 1, 2, 3], [0, 1, 2, 3], [0, 1, 2, 3], [0, 1, 2, 3]]
24
bartonc 6,596
Recognized Expert Expert
These techniques use a thing called list comprehension. Here's an example of using one to sum the entire matrix: -
def NativeZeros(nRows, nCols):
-
return [range(nRows) for col in range(nCols)]
-
-
-
-
matrix = NativeZeros(4, 4)
-
print matrix
-
print sum([sum(row) for row in matrix])
[[0, 1, 2, 3], [0, 1, 2, 3], [0, 1, 2, 3], [0, 1, 2, 3]]
24
Here's the column summer: -
print sum([row[3] for row in matrix])
12
bvdet 2,851
Recognized Expert Moderator Specialist
Here is a simple matrix class I have played with in the past and this AM: -
class Matrix(object):
-
def __init__(self, rows, cols):
-
self.rows = rows
-
self.cols = cols
-
# initialize matrix and fill with zeroes
-
self.data = [[0 for _ in range(cols)] for _ in range(rows)]
-
-
def sumRow(self, row):
-
return sum(self.data[row])
-
-
def sumCol(self, col):
-
return sum([row[col] for row in self.data])
-
-
def sumDiag(self, startCol):
-
colList = [startCol+i for i in range(self.cols)]
-
for i, item in enumerate(colList):
-
if item > self.cols-1:
-
colList[i] -= self.cols
-
return sum([row[col] for row,col in zip(self.data, colList)])
-
-
def sumDiag2(self, startCol):
-
num = max(self.cols, self.rows)
-
colList = [startCol+i for i in range(num)]
-
rowList = range(num)
-
for i in range(len(colList)):
-
while colList[i] > self.cols-1:
-
colList[i] -= self.cols
-
for i in range(len(rowList)):
-
while rowList[i] > self.rows-1:
-
rowList[i] -= self.rows
-
return sum([self.data[row][col] for row,col in zip(rowList, colList)])
-
-
def __setitem__(self, pos, v):
-
self.data[pos[0]][pos[1]] = v
-
-
def __getitem__(self, pos):
-
return self.data[pos[0]][pos[1]]
-
-
def __iter__(self):
-
for row in self.data:
-
yield row
-
-
def __str__(self):
-
outStr = ""
-
for i in range(self.rows):
-
outStr += 'Row %s = %s\n' % (i, self.data[i])
-
return outStr
-
-
def __repr__(self):
-
return 'Matrix(%d, %d)' % (self.rows, self.cols)
and some interaction: - >>> import random
-
>>> b = Matrix(4,8)
-
>>> for row in b:
-
... for i in range(b.cols):
-
... row[i] = random.randrange(100)
-
...
-
>>> b
-
Matrix(4, 8)
-
>>> print b
-
Row 0 = [77, 61, 7, 76, 66, 88, 74, 7]
-
Row 1 = [87, 2, 52, 42, 99, 55, 6, 16]
-
Row 2 = [19, 42, 95, 89, 17, 59, 71, 12]
-
Row 3 = [87, 12, 76, 55, 49, 56, 5, 0]
-
-
>>> b.sumCol(3)
-
262
-
>>> b.sumRow(0)
-
456
-
>>> sum([77, 61, 7, 76, 66, 88, 74, 7])
-
456
-
>>> b.sumDiag(0)
-
229
-
>>> b.sumDiag2(0)
-
421
-
>>> b.sumDiag2(3)
-
451
-
>>>
Can someone improve the sum diagonal methods?
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