Done hw1 from ex. 1 to 4

hw1/assignment1.m

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+%% Assignment 1 
+% Name: ______________
+%
+% Date: 21/2/2019
+%
+% This is a template file for the first assignment to get started with running 
+% and publishing code in Matlab.  Each problem has its own section (delineated 
+% by |%%|) and can be run in isolation by clicking into the particular section
+% and pressing |Ctrl| + |Enter| (evaluate current section).
+% 
+% To generate a pdf for submission in your current directory, use the following
+% three lines of code at the command window:
+% 
+%  >> options.format = 'pdf';
+%  >> options.outputDir = pwd;
+%  >> publish('assignment1.m', options)
+% 
+%% Problem 1
+% a)
+x = 5
+% b)
+y = 4.2 * 10 ^ (-2)
+% c)
+r = sqrt(pi)
+% d)
+rate = 0.01
+t = 6
+T = 12
+money = 1000
+interest = money * (exp(rate * t / T) - 1)
+% e)
+a = 1 + i
+b = i
+i = 2
+e = exp(i * pi)
+d = exp(b * pi)
+% \texttt{i} is interpreted as the imaginary unit when assigning to a and b
+% until it is defined to 2. In the subsequent expressions \textit{i} is
+% interpreted as 2.
+c = exp(1i * pi)
+% Here \textit{1i} is interpreted as the imaginary unit, making $c = 1$
+
+%% Problem 2 
+A = [1 -2 0 ; -2 1 -2; 0 -2 1]
+Z = zeros(9,9)
+B = ones(9,9) * 3
+C = (eye(9) - 1) * -1
+D = diag([[1:5],[4:-1:1]])
+E = repmat(transpose(1:9), 1, 5)
+
+%% Problem 3 
+A = fliplr(A)
+B(2, :) = repmat(1, 1, 9) 
+C(1, :) = []
+F = E(1:2, 1:2)
+E(:, 1) = flipud(E(:, 1))
+
+%% Problem 4
+geteps
+getxmin
+getxmax
+
+function myeps = geteps
+    y = 1;
+    x = 2 * y;
+    while 1 + y ~= 1
+        x = y;
+        y = y / 2;
+    end
+    myeps = x;
+end
+
+function xmin = getxmin
+    y = 1;
+    x = 2 * y;
+    while y ~= 0
+        x = y;
+        y = y / 2;
+    end
+    xmin = x;
+end
+
+function xmax = getxmax
+    y = 1;
+    x = y;
+    while y ~= +inf
+        x = y;
+        y = y * 2;
+    end
+    xmax = typecast(bitor(typecast(x, 'uint64'), 0x000FFFFFFFFFFFFF), 'double');
+end
+% geteps does not differ from eps, as getxmax does not differ from realmax.
+% However, getxmin returns the nearest positive floating point value to 0
+% including denormalized numbers, while realmin returns the smallest
+% (ignoring sign) non denormalized floating point number.