I am trying out the questions in programming assignment of Coursera course on Matlab programming as an exercise. This is for my self-study.
Question:
Write a function called classify that takes one input argument x. That
argument will have no more than two dimensions. If x is an empty
matrix, the function returns -1. If x is a scalar, it returns 0. If x
is a vector, it returns 1. Finally, if x is none of these, it returns
2. Do not use the built-in functions isempty, isscalar, or isvector.
My code snippet:
function num = classify(x)
num = -1;
if(x == 3.14159265358979)
num = 0;
elseif(size(x, 2) == 3)
num = -1;
end
end
I got the below result on Matlab.
Problem 4 (classify):
Feedback: Your function performed correctly for argument(s) []
Feedback: Your function performed correctly for argument(s) zeros(1,0)
Feedback: Your function performed correctly for argument(s) zeros(0,4)
Feedback: Your function performed correctly for argument(s) 3.14159265358979
Feedback: Your function made an error for argument(s) [1 2 3]
Am I doing something wrong for arguments [1 2 3]?
If all you want is the code, I'll provide you with the answer, but I suggest you sit down and try to understand how and why this codes solves the problem, I'm guessing you want to learn something from it. Well, here's the code:
function [num] = classify(x)
if numel(x) == 0
num = -1;
return
end
num = sum(size(x) > 1);
end
You can most easily check if x is empty or a scalar by counting the number of elements (i.e. use the numel function). Then to determine if it is a vector or a higher dimensional matrix you need to check if the number of dimensions is less than 3 (this is because ndims returns 2 for both 1D and 2D matrices) and also verify that at least one of the first two dimensions has a size of 1:
function num = classify(x)
n = numel(x);
if n < 2
num = n-1;
else
if ndims(x) < 3 && any(size(x) == 1)
num = 1;
else
num = 2;
end
end
end
You should aim to write a generic function, your function would not work for example for any scalar input than pi.
Use the size function to determine the dimensions of the input, for example:
>> size([])
ans = 0 0
>> size(5)
ans = 1 1
>> size([5 6 7])
ans = 1 3
>> size([5;6;7])
ans = 3 1
Based on this, your function could looke like this:
function [num] = classify(x)
s = size(x);
if s == [0 0]
num = -1;
elseif s == [1 1]
num = 0;
elseif sort(s) == [1 3]
num = 1;
else
num = 2;
end
end
Yes, you tring to compare an array with a float.
It allows to do that (programaticalyl wrong) thing for [] because the array is empty
And for zeros, because the array is empty again: in the first case 0 columns, and in the second 0 rows
function i=classify(x)
[m, n]=size(x);
if n==1 && m==1
i=0;
elseif (m==0 && n==0)|| (m>=1 && n==0) || (m==0 && n>=1)
i=-1;
elseif (n>=1 && m==1) || (n==1 && m>=1)
i=1;
else i=2;
end
function y=classify(x)
[a b]=size(x);
%check for empty matrix
% Do not forget that an empty matrix can be size a x 0 or 0x a, where a can be
% arbitrary number
if (a>0)&&(b==0)||(a==0)&&(b>0)||(a==0)&&(b==0)
y=(-1);
%check for scalar
elseif (a==1)&&(b==1)
y=0;
%check for vector
elseif (a>=1)&&(b==1)||(a==1)&&(b>=1)
y=1;
%other case
else
y=2;
end
Related
so I'm new to Matlab and had to draw the Impulsefunction with y(n) is only 1 if n == 3, else 0. The following code works:
n = -5:5;
f = n; % allocate f
for i = 1 : length(n)
f(i) = dd1(n(i)-3);
end
stem(n, f);
function y = dd1(n)
y = 0;
if n == 0
y = 1;
end
end
But I feel like it's to complicated, so I tried the following:
n = -5:5
stem(n, fo)
function y = fo(n)
y = 0
if n == 3
y=1
end
end
This returns
Not enough input arguments.
Error in alternative>fo (line 5)
if n == 3
Error in alternative (line 2)
stem(n, fo)
I feel like I'm missing something trivial here.
if is no vector-wise operation but expects a single boolean (or at least a scalar that it can cast to a boolean).
But you can do this vector-wise:
lg = n == 3;
This produces a logical (MATLAB's name for boolean) array (because n is an array and not a vector), which is true where n is equal (==) to three. So you don't need a function, because you can make use of MATLAB's ability to work with vectors and arrays implicitly.
(for your code it would be f = (n-3) == 3)
A last hint: if you have a state-space system (ss-object), you can use the function step to get the step-response as a plot.
I am sending a matrix to my function modifikuj, where I want to replace the elements of the matrix with:
1 if element is a prime number
0 if element is a composite number
0.5 if element is 1
I dont understand why it is not working. I just started with MATLAB, and I created this function:
function B = modifikuj(A)
[n,m] = size(A);
for i = 1:n
for j = 1:m
prost=1;
if (A(i,j) == 1)
A(i,j) = 0.5;
else
for k = 2:(A(i,j))
if(mod(A(i,j),k) == 0)
prost=0;
end
end
if(prost==1)
A(i,j)=1;
else
A(i,j)=0;
end
end
end
end
With
A = [1,2;3,4];
D = modifikuj(A);
D should be:
D=[0.5, 1; 1 0];
In MATLAB you'll find you can often avoid loops, and there's plenty of built in functions to ease your path. Unless this is a coding exercise where you have to use a prescribed method, I'd do the following one-liner to get your desired result:
D = isprime( A ) + 0.5*( A == 1 );
This relies on two simple tests:
isprime( A ) % 1 if prime, 0 if not prime
A == 1 % 1 if == 1, 0 otherwise
Multiplying the 2nd test by 0.5 gives your desired condition for when the value is 1, since it will also return 0 for the isprime test.
You are not returning anything from the function. The return value is supposed to be 'B' according to your code but this is not set. Change it to A.
You are looping k until A(i,j) which is always divisible by itself, loop to A(i,j)-1
With the code below I get [0.5,1;1,0].
function A = modifikuj(A)
[n,m] = size(A);
for i = 1:n
for j = 1:m
prost=1;
if (A(i,j) == 1)
A(i,j) = 0.5;
else
for k = 2:(A(i,j)-1)
if(mod(A(i,j),k) == 0)
prost=0;
end
end
if(prost==1)
A(i,j)=1;
else
A(i,j)=0;
end
end
end
end
In addition to #EuanSmith's answer. You can also use the in built matlab function in order to determine if a number is prime or not.
The following code will give you the desired output:
A = [1,2;3,4];
A(A==1) = 0.5; %replace 1 number with 0.5
A(isprime(A)) = 1; %replace prime number with 1
A(~ismember(A,[0.5,1])) = 0; %replace composite number with 0
I've made the assumption that the matrice contains only integer.
If you only want to learn, you can also preserve the for loop with some improvement since the function mod can take more than 1 divisor as input:
function A = modifikuj(A)
[n,m] = size(A);
for i = 1:n
for j = 1:m
k = A(i,j);
if (k == 1)
A(i,j) = 0.5;
else
if all(mod(k,2:k-1)) %check each modulo at the same time.
A(i,j)=1;
else
A(i,j)=0;
end
end
end
end
And you can still improve the prime detection:
2 is the only even number to test.
number bigger than A(i,j)/2 are useless
so instead of all(mod(k,2:k-1)) you can use all(mod(k,[2,3:2:k/2]))
Note also that the function isprime is a way more efficient primality test since it use the probabilistic Miller-Rabin algorithme.
I wrote my own function in MATLAB which will returns me a "true" if the input number is a prime number and a "false" if it isn't.
With the numbers 0, 1, and 2 it's working, but with anything above 2 it's not doing anything. (BTW, I recreated isprime, so obv I won't use that here.)
function [A] = myprime(p)
m = 2;
if p<1
disp('Number too low')
end
if p == 1
A = false;
end
if p == 2
A=true;
end
if p < 2
while m < p
A = true;
x = mod(p, m);
if x == 0
m=p;
R=false;
end
m=m+1;
end
end
end
As you can see, it gives results for 0,1 and 2, but nothing for any number above 2:
there is a problem with your code, you don't declare the state where p>2 and also I think the line that you declared
if p<2
while m<p
is not true because you set m=2 and that state won't happen.
I have a function replace_me which is defined like as: function w = replace_me(v,a,b,c). The first input argument v is a vector, while a, b, and c are all scalars. The function replaces every element of v that is equal to a with b and c. For example, the command
x = replace_me([1 2 3],2,4,5); returns x as [1 4 5 3].
The code that I have created is
function w = replace_me(v,a,b,c)
[row,column]=size(v);
new_col=column+1;
w=(row:new_col);
for n=(1:column)
if a==v(n)
v(n)=b;
o=n;
d=n-1;
u=n+1;
for z=1:d
w(z)=v(z);
end
for z=u:column
w(z+1)=v(z);
end
w(o)=b;
w(o+1)=c;
end
end
end
It works perfectly fine for x = replace_me([1 2 3],2,4,5); I get required output but when I try x = replace_me([1 2 3], 4, 4, 5) my function fails.
To resolve this problem I want to use an if else statements having conditions that if a is equal to any element of vector v we would follow the above equation else it returns back the vector.
I tried to use this as if condition but it didn't worked
if v(1:column)==a
Any ideas
I'm not entirely sure if I understand what you are trying to achieve, but form what I understand you're looking for something like this:
function [v] = replace_me(v,a,b,c)
v = reshape(v,numel(v),1); % Ensure that v is always a column vector
tol = 0.001;
aPos = find( abs(v-a) < tol ); % Used tol to avoid numerical issues as mentioned by excaza
for i=numel(aPos):-1:1 % Loop backwards since the indices change when inserting elements
index = aPos(i);
v = [v(1:index-1); b; c; v(index+1:end)];
end
end
function w = move_me(v,a)
if nargin == 2
w=v(v~=a);
w(end+1:end+(length(v)-length(w)))=a;
elseif isscalar(v)
w=v;
else
w=v(v~=0);
w(end+1)=0;
end
end
Hey i have an issuse with plotting my own function in scilab.
I want to plot the following function
function f = test(n)
if n < 0 then
f(n) = 0;
elseif n <= 1 & n >= 0 then
f(n) = sin((%pi * n)/2);
else
f(n) = 1;
end
endfunction
followed by the the console command
x = [-2:0.1:2];
plot(x, test(x));
i loaded the function and get the following error
!--error 21
Invalid Index.
at line 7 of function lala called by :
plot(x, test(x))
Can you please tell me how i can fix this
So i now did it with a for loop. I don't think it is the best solution but i can't get the other ones running atm...
function f = test(n)
f = zeros(size(n));
t = length(n);
for i = 1:t
if n(i) < 0 then
f(i) = 0;
elseif n(i) <= 1 & n(i) >= 0
f(i) = sin((%pi * n(i)/2));
elseif n(i) > 1 then
f(i) = 1;
end
end
endfunction
I guess i need to find a source about this issue and get used with the features and perks matlab/scilab have to over :)
Thanks for the help tho
The original sin is
function f = test(n)
(...)
f(n) = (...)
(...)
endfunction
f is supposed to be the result of the function. Therefore, f(n) is not "the value that the function test takes on argument n", but "the n-th element of f". Scilab then handles this however it can; on your test case, it tries to access a non-integer index, which results in an error. Your loop solution solves the problem.
Replacing all three f(n) by f in your first formulation makes it into something that works... as long as the argument is a scalar (not an array).
If you want test to be able to accept vector arguments without making a loop, the problem is that n < 0 is a vector of the same size as n. My solution would use logical arrays for indexing each of the three conditions:
function f = test(n)
f = zeros(size(n));
negative = (n<0);//parentheses are optional, but I like them for readability
greater_than_1 = (n>1);
others = ~negative & ~greater_than_1;
f(isnegative)=0;
f(greater_than_1)=1;
f(others) = sin(%pi/2*n(others));
endfunction