Lab01 commit

lab01_group27_inlab/input_inlab_task_A1.txt

+1.2 2.1

lab01_group27_inlab/readme

+We have made equal contribution to this. 
+Sourabh,150050009 : 100%
+Harshith Goka 150050069 : 100%
+Uddeshya 15D110007 : 100%
+
+We pledge on my honour that we have not given or received any unauthorised assistance on this assignment or any previous task.
+
+Citations :
+https://www.gnu.org/software/octave/doc/v4.0.0/Global-Variables.html
+https://www.gnu.org/software/octave/doc/v4.0.1/Formatted-Output.html#XREFfprintf
+https://www.gnu.org/software/octave/doc/v4.0.1/Defining-Functions.html
+https://www.gnu.org/software/octave/doc/v4.0.0/Solvers.html

lab01_group27_inlab/refraction.m

+global v;  % Global Variable 
+fileID=fopen('input_inlab_task_A1.txt','r');
+v = fscanf(fileID,'%f'); 		% Input in "nx ny" format 
+fclose(fileID);
+
+function result = solver(i)  % F[x] Solution using Snell's law 
+	global v;
+	a = v(1,1) * cos(i) + v(2,1) * sin(i);
+	result = sin(i/3) *(a) - sin(i);
+	return;
+endfunction
+
+x0 = [0.00001,pi/2];  % Expected Range
+[ans] = fzero("solver",x0);  % Root finding
+
+fid = fopen("output_inlab_task_01.txt","w"); % Creating a output file as writable
+fprintf(fid, "%f",ans); % printing into the file
+fclose(fid);  % closing the file 
+

lab01_group27_inlab_B1B2/final_state_3.m

+function result = final_state_3(mat,action)   # It operates Matrix mat with action
+  for i = 1:3
+    for j = 1:3
+    if (action(i,j) == 1)
+      mat = press(mat,i,j);   # Calls press 
+     endif
+    endfor
+  endfor
+  result = mat;
+  return;
+endfunction

lab01_group27_inlab_B1B2/lookup_solve_3.m

+# We will create 'lookup' function which will actually follow the algorithm to solve
+# and a 'press' fucntion which will simulate the pressing of a particular button
+
+function res = lookup_solve_3(mat)  
+  result = zeros(3);
+  while(!(isequal(mat,zeros(3))))  # Until mat becomes null matrix
+    for (i=1:2)
+      for (j=1:3)	
+         if(mat(i,j)==1),
+            result (i+1,j) = ! result(i + 1,j);  #pressing the buttons which are below the on buttons 
+            mat = press(mat,i+1,j); 
+          endif
+      endfor
+    endfor
+    if(mat(3,:)==[0 0 1]),  # Look up table implemented
+      result (1,2) = ! result(1,2);
+      result (1,3) = ! result(1,3);
+      mat = press(mat,1,2);mat = press(mat,1,3);
+    elseif(mat(3,:)==[0 1 0]),
+      result (1,1) = ! result(1,1);
+      result (1,2) = ! result(1,2);
+      result (1,3) = ! result(1,3);
+      mat = press(mat,1,1);mat = press(mat,1,2); mat=press(mat(1,3));
+    elseif(mat(3,:)==[0 1 1]),
+      result (1,1) = ! result(1,1);
+      mat=press(mat,1,1);
+    elseif(mat(3,:)==[1 0 0]),
+      result (1,1) = ! result(1,1);
+      result (1,2) = ! result(1,2);
+      mat=press(mat,1,1);mat=press(mat,1,2);
+    elseif(mat(3,:)==[1 0 1]),
+      result (1,1) = ! result(1,1);
+      result (1,3) = ! result(1,3);
+      mat=press(mat,1,1);mat=press(mat,1,3);
+    elseif(mat(3,:)==[1 1 0]),
+      result (1,3) = ! result(1,3);
+      mat=press(mat,1,3);
+    elseif(mat(3,:)==[1 1 1]),
+      result (1,2) = ! result(1,2);
+      mat=press(mat,1,2);
+     endif
+  endwhile
+  res=result;
+  return;
+endfunction

lab01_group27_inlab_B1B2/press.m

+function res1 = press(mat,n,m) # Simulates the pressing of button (n,m) on the mat 
+  mat(n,m) = !(mat(n,m));   
+  if(n+1<=3),   # Checking boundary conditions and inverting the bulbs
+    mat(n+1,m) = !(mat(n+1,m));  
+  endif
+  if(n-1>=1),  
+    mat(n-1,m) = !(mat(n-1,m));  
+  endif
+  if(m+1<=3),  
+    mat(n,m+1) = !(mat(n,m+1));  
+  endif
+  if(m-1>=1), 
+    mat(n,m-1) = !(mat(n,m-1));    
+  endif
+  res1=mat;
+  return;
+endfunction
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lab01_group27_inlab_B1B2/readme

+We are team 27 Audacity.
+We have made equal contribution to this. 
+Sourabh,150050009 : 100%.
+Harshith Goka 150050069 : 100%.
+Uddeshya 15D110007 : 100%.
+
+We pledge on our honour that we have not given or received any unauthorised assistance on this assignment or any previous task consciously or unconsciously.
+
+What have we learnt:
+	We learnt to do some basic operation on matrices and revised our concepts of liner algebra.
+	We also learnt about control statements and functions in octave.
+
+References: 
+https://www.gnu.org/software/octave (GNU Manual)
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lab01_group27_outlab/Readme.txt

+We have made equal contribution to this. 
+Sourabh,150050009 : 100%
+Harshith Goka 150050069 : 100%
+Uddeshya 15D110007 : 100%
+
+We pledge on our honour that we have not given or received any unauthorised assistance on this assignment or any previous task.
+
+Reference :
+https://www.gnu.org/software/octave
+
+Reflection Essay :
+ 	We learnt basic funtionality of octave in Linear Algebra like: inverses; transpose; determinant , finding roots of Equation, creating functions and accessing it from other files. Also learnt basic input output methods in octave. 
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lab01_group27_outlab/backward_solve.m

+function ret = backward_solve(mat) 
+  n=size(mat)(1) ;  
+  m = size(mat)(2);
+  b=reshape(mat',n*m,1); # makes it a column matrix
+  Q=generate(n,m);  #  generates the adjency matrix
+  R= - (Q\b) * det(Q);  # Qx + b = 0 as written in the given webpage
+  x=mod(round(R),2);  # rounding to  mod 2
+  X=reshape(x,m,n);
+  ret = X';
+  return;
+endfunction
+clear;

lab01_group27_outlab/backward_solve_3.m

+function ret = backward_solve_3(mat)
+  n=length(mat);
+  b=reshape(mat,1,n*n);#reshaping matrix 3x3 to 1x9
+  Q=zeros(n*n);
+  for (i=1:n),#generating Q
+    for (j=1:n),
+      A=zeros(n);
+      A = press(A,i,j);#simulating pressing of button
+      Q(j + (i - 1)*n,:) = reshape(A,1,n*n);
+    endfor
+  endfor
+  R= Q\(b') * det(Q);# Solving eqn Qx+b=0
+  X=reshape(R,n,n)';
+  ret = mod(round(X),2);# Simplifying matrix by taking mod2
+  return;
+endfunction
+clear;

lab01_group27_outlab/final_state_3.m

+function result = final_state_3(mat,action)   # It operates Matrix mat with action
+  for i = 1:3
+    for j = 1:3
+    if (action(i,j) == 1)
+      mat = press(mat,i,j);   # Calls press 
+     endif
+    endfor
+  endfor
+  result = mat;
+  return;
+endfunction

lab01_group27_outlab/generate.m

+function result = generate(n,m)#generates the adjency matrix
+temp = zeros(n*m);
+for i = 1:n
+for j = 1:m
+temp(:,j + (i - 1) * m) = reshape(((press(zeros(n,m),i,j)))',n*m,1);
+endfor
+endfor
+result = temp;
+return;
+endfunction
+

lab01_group27_outlab/input_outlab_task_A1.txt

+180.0 100 0.05 5 3.5
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lab01_group27_outlab/input_outlab_task_A2.txt

+76.63 27 0.027 0.0555 7 5 3.5 5
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lab01_group27_outlab/input_outlab_task_A3.txt

+0.0 0.0 76.63 27 0.1 0.027 0.0555 7 10 3.5 5 3.0 0.0
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lab01_group27_outlab/main_task_A1.m

+global var = load('input_outlab_task_A1.txt')#reading values from input file
+
+function ret = eqnset1(i)
+  global var;
+  x1 = var(1);  #assigning of diiferent input variables
+  y1 = var(2);
+  d = var(3);
+  w = var(4);
+  u = var(5);
+  ret = ((y1-w)*tan(i))+(w*sin(i)/(sqrt(u^2-(sin(i))^2))) - x1;  #equation to find root
+  return;
+endfunction
+
+x0=[0.000001,pi/2];#expected root to be present in this range
+ret1 = fzero(@eqnset1,x0);#finding zero
+ret1 = ret1*180/pi;#converting to degree
+fid = fopen('output_outlab_task_A1.txt','w');
+fprintf(fid,'%f',ret1);
+fclose(fid);
+clear;

lab01_group27_outlab/main_task_A2.m

+global var = load('input_outlab_task_A2.txt');#reading from input file
+global final_co=[0,0];#final co-ordinates X-wing
+global final_co;
+
+function ret = eqnset2(i)
+  global var;
+  global final_co;#intialising variables
+  x1 = var(1);
+  y1 = var(2);
+  v2 = var(3);
+  vls = var(4);
+  d = var(5);
+  w = var(6);
+  u = var(7);
+  t1 = var(8);  # formula born from physics 
+  t2 = (vls * cos(i) / ( vls * cos(i) - v2)) * (((y1 - (w )) /(vls * cos(i))) + (u * u * w /((sqrt(u^2 - sin(i)^2)) * vls )) + (v2 * t1  /(vls * cos(i))));
+  y1f = y1+v2*t1+v2*t2;  #updated value of final y co-ordinates of X-wing
+  final_co=[x1,y1f];
+  ret = ((y1-w -d)*tan(i))+(w*sin(i)/(sqrt(u^2-(sin(i))^2)))  + (y1f - y1 + d)*tan(i) - x1;#final func to solve
+endfunction
+
+x0= pi/4;
+ret1 = fsolve(@eqnset2,x0);#finding root with x0 as intial value
+ret1 = ret1*180/pi;  #angle in radian
+fid = fopen('output_outlab_task_A2.txt' ,'w');
+fprintf(fid,'%f %f %f',ret1, final_co(1), final_co(2));
+fclose(fid);
+clear;
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lab01_group27_outlab/output_outlab_task_A1.txt

+70.625633
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lab01_group27_outlab/output_outlab_task_A2.txt

+41.070191 76.630000 91.838433
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lab01_group27_outlab/press.m

+function res1 = press(mat,n,m) # Simulates the pressing of button (n,m) on the mat 
+  mat(n,m) = !(mat(n,m));   
+  if(n+1<=size(mat)(1)),   # Checking boundary conditions and inverting the bulbs
+    mat(n+1,m) = !(mat(n+1,m));  
+  endif
+  if(n-1>=1 ),  
+    mat(n-1,m) = !(mat(n-1,m));  
+  endif
+  if(m+1<=size(mat)(2)),  
+    mat(n,m+1) = !(mat(n,m+1));  
+  endif
+  if(m-1>=1), 
+    mat(n,m-1) = !(mat(n,m-1));    
+  endif
+  res1=mat;
+  return;
+endfunction
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