how to sum of each row according to values values in given function

Here I have a matrix of five rows and six columns. I want sum of each row according to given function by using for loop.

f(1)=15*x(1)+20*x(2)+30*x(3)+25*x(4)+40*x(5)+35*x(6);
f(2)=20*x(1)+23*x(2)+21*x(3)+24*x(4)+28*x(5)+27*x(6);
f(3)=16*x(1)+24*x(2)+22*x(3)+23*x(4)+20*x(5)+17*x(6);
f(4)=25*x(1)+26*x(2)+27*x(3)+28*x(4)+29*x(5)+30*x(6);

where x shows the element number in each row, such as six columns in below matrix

  1  0  1  0  0  1
  1  0  0  1  0  1
  1  0  0  0  1  1
  1  0  0  1  1  1
  0  1  1  0  0  1

[madhan ravi]

not clear

[Asad Abbas]

I have binary table

 1  0  1  0  0  1 
 1  0  0  1  0  1 
 1  0  0  0  1  1 
 1  0  0  1  1  1 
 0  1  1  0  0  1

I want to caculate sum of each row according to given functions:

f(1)=15*x(1)+20*x(2)+30*x(3)+25*x(4)+40*x(5)+35*x(6);
f(2)=20*x(1)+23*x(2)+21*x(3)+24*x(4)+28*x(5)+27*x(6);
f(3)=16*x(1)+24*x(2)+22*x(3)+23*x(4)+20*x(5)+17*x(6);
f(4)=25*x(1)+26*x(2)+27*x(3)+28*x(4)+29*x(5)+30*x(6);

It takes the sum of those elements in row whose value is 1.

[madhan ravi]

Desired result example?

[Asad Abbas]

For f(1) f(2) f(3) f(4)

1 0 1 0 0 1 80 68 55 82

1 0 0 1 0 1 75 71 56 83

1 0 0 0 1 1

1 0 0 1 1 1

0 1 1 0 0 1

Sum from f(1) are of those whose value is 1 in table.

Answer 1

[Rik]

You can do something like the code below. You could use a for loop instead of the call to cellfun, but as you can see, you don't really need an explicit loop here.

data=[1  0  1  0  0  1
    1  0  0  1  0  1
    1  0  0  0  1  1
    1  0  0  1  1  1
    0  1  1  0  0  1 ];
data_cell=mat2cell(data,ones(1,size(data,1)),size(data,2)); %group data by row
f_cell=cellfun(@MyFunction,data_cell,'UniformOutput',0);    %apply function to each row
f=cell2mat(f_cell);                                         %convert results back to an array

function f=MyFunction(x)
f(1)=15*x(1)+20*x(2)+30*x(3)+25*x(4)+40*x(5)+35*x(6);
f(2)=20*x(1)+23*x(2)+21*x(3)+24*x(4)+28*x(5)+27*x(6);
f(3)=16*x(1)+24*x(2)+22*x(3)+23*x(4)+20*x(5)+17*x(6);
f(4)=25*x(1)+26*x(2)+27*x(3)+28*x(4)+29*x(5)+30*x(6);
end

[Asad Abbas]

Its working. Thank you so much.

Answer 2

[Stephen23]

Simpler:

>> X = [1,0,1,0,0,1;1,0,0,1,0,1;1,0,0,0,1,1;1,0,0,1,1,1;0,1,1,0,0,1]
X =

   1   0   1   0   0   1
   1   0   0   1   0   1
   1   0   0   0   1   1
   1   0   0   1   1   1
   0   1   1   0   0   1
>> M = [15,20,30,25,40,35;20,23,21,24,28,27;16,24,22,23,20,17;25,26,27,28,29,30]
M =
   15   20   30   25   40   35
   20   23   21   24   28   27
   16   24   22   23   20   17
   25   26   27   28   29   30
>> sum(permute(M,[3,1,2]).*permute(X,[1,3,2]),3)
ans =
    80    68    55    82
    75    71    56    83
    90    75    53    84
   115    99    76   112
    85    71    63    83