Small changes

Work 1/scripts/GivenEnv.m

@@ -4,12 +4,10 @@ a_0 = -1;
 b_0 = 3;
 
 % Setup the functions under test
-syms x;
-
-f_1 = (x-2)^2 + x*log(x+3);
-f_2 = exp(-2*x) + (x-2)^2;
-f_3 = exp(x)*(x^3 - 1) + (x-1)*sin(x);
-funs = [f_1, f_2, f_3];
+f_1 = @(x) (x-2)^2 + x*log(x+3);
+f_2 = @(x) exp(-2*x) + (x-2)^2;
+f_3 = @(x) exp(x)*(x^3 - 1) + (x-1)*sin(x);
+funs = {f_1, f_2, f_3};
 
 % Setup the function titles
 title_f1 = "$f_1(x) = (x - 2)^2 + x \cdot \ln(x + 3)$";

Work 1/scripts/bisection/bisection.m

@@ -23,7 +23,7 @@ while b(k) - a(k) > lambda
     
     % set new search reange
     k = k + 1;
-    if subs(fun, x_1) < subs(fun, x_2)
+    if fun(x_1) < fun(x_2)
         a(k) = a(k-1);
         b(k) = x_2;
     else
@@ -31,4 +31,3 @@ while b(k) - a(k) > lambda
         b(k) = b(k-1);
     end
 end
-

Work 1/scripts/bisection/bisection_epsilonFixed.m

@@ -6,22 +6,22 @@
 
 % Clear workspace and load the functions and region
 clear
-
-funGivenEnv;
+addpath('..');
+GivenEnv;
 
 % * epsilon: e = 0.001
 % * lambda:  l > 2e = 0.001
 % * dl: A small step away from 2e
 %       dl = 0.0001
 % * lambda_max: 0.1
-% * size: 25 points
+% * N: 50 points
 
-size = 25;
+N = 50;
 epsilon = 0.001;
 dl = 0.0001;
 lambda_max= 0.1;
-lambda = linspace(2*epsilon + dl, lambda_max, size);
-k = zeros(1,size);
+lambda = linspace(2*epsilon + dl, lambda_max, N);
+k = zeros(1, N); % preallocate k
 
 
 %
@@ -29,15 +29,12 @@ k = zeros(1,size);
 %   keep the number of iterations needed.
 % * Plot the iterations k(lambda) for each function
 %
-i = 0;
-for f = funs
-    i = i + 1;
-    j = 0;
-    for l = lambda
-        j = j + 1;
-        [a, b, k(j)] = bisection(f, a_0, b_0, epsilon, l);
+
+for i = 1:length(funs)
+    for j = 1:N
+        [a, b, k(j)] = bisection(funs{i}, a_0, b_0, epsilon, lambda(j));
     end
-    subplot(1, 3, i)
+    subplot(1, length(funs), i)
     plot(lambda, k, '-b', 'LineWidth', 1.0)
     title(titles(i), 'Interpreter', 'latex')
     xlabel('lambda')

Work 1/scripts/bisection/bisection_lambdaFixed.m

@@ -6,20 +6,20 @@
 
 % Clear workspace and load the functions and region
 clear
-
-funGivenEnv;
+addpath('..');
+GivenEnv;
 
 % * lambda = 0.01
 % * epsilon: e < lambda/2 = 0.005
 % * de: A small step away from zero and lambda/2
 %       de = 0.0001
-% * size: 25 points
+% * N: 50 points
 
-size = 25;
+N = 50;
 lambda = 0.01;
 de = 0.0001;
-epsilon = linspace(de, (lambda/2)-de, size);
-k = zeros(1,size);
+epsilon = linspace(de, (lambda/2)-de, N);
+k = zeros(1,N); % preallocate k
 
 
 %
@@ -27,15 +27,11 @@ k = zeros(1,size);
 %   keep the number of iterations needed.
 % * Plot the iterations k(epsilon) for each function
 %
-i = 0;
-for f = funs
-    i = i + 1;
-    j = 0;
-    for e = epsilon
-        j = j + 1;
-        [a, b, k(j)] = bisection(f, a_0, b_0, e, lambda);
+for i = 1:size(funs,2)
+    for j = 1:N
+        [a, b, k(j)] = bisection(funs{i}, a_0, b_0, epsilon(j), lambda);
     end
-    subplot(1, 3, i)
+    subplot(1, length(funs), i)
     plot(epsilon, k, '-b', 'LineWidth', 1.0)
     title(titles(i), 'Interpreter', 'latex')
     xlabel('epsilon')