import numpy as np

inputs = np.array([[0,0],
                   [0,1],
                   [1,0],
                   [1,1]])

labels = np.array([0,0,0,1])

def step_function(x):
  return 1 if x >=  0 else 0

def train_AND( inputs , labels, lr = 0.1 , epochs= 10):
  w , b = np.random.rand( inputs.shape[1]) , np.random.rand()

  for i in range(epochs):
    for x , y in zip(inputs , labels):
      pred = step_function(np.dot(x,w) + b)
      error = y - pred 
      w += lr * error * x 
      b += lr * error
      print(f'Iteration:{i} , Weights:{w} , bais:{b}')

  return w , b 

weights, bias = train_AND(inputs,labels)

have fun and chill harder

size=11
x=np.ones(size,dtype=int)
n=range(0,11,1)
n1=range(0,21,1)
h=[]
for i in n:
  temp=pow(2,n[i])
  h.append(temp)
y=np.convolve(x,h,mode='full')

plt.subplot(2,2,1)
plt.stem(n,x)
plt.title("x[n]")
plt.subplot(2,2,2)
plt.title("h[n]")
plt.stem(n,h)
plt.tight_layout()
plt.subplot(2,2,3)
plt.title("y[n]")
plt.stem(n1,y)
plt.tight_layout()

gfd

size=11
x=np.ones(size,dtype=int)
n=range(0,11,1)
n1=range(0,21,1)
h=[]
for i in n:
  temp=pow(2,n[i])
  h.append(temp)
y=np.convolve(x,h,mode='full')

plt.subplot(2,2,1)
plt.stem(n,x)
plt.title("x[n]")
plt.subplot(2,2,2)
plt.title("h[n]")
plt.stem(n,h)
plt.tight_layout()
plt.subplot(2,2,3)
plt.title("y[n]")
plt.stem(n1,y)
plt.tight_layout()

x = np.array([2,1,2,1])
h = np.array([1,2,3,4])
DFT_x=np.fft.fft(x)
DFT_h=np.fft.fft(h)
print(DFT_x)
print(DFT_h)
y=DFT_x*DFT_h
print(y)
cc=DFT_h=np.fft.ifft(y)
print(cc)

DFT = np.array([10,-2+2j,-2,-2-2j])
x=np.fft.ifft(DFT)
print(x)
plt.stem(x)

x = np.array([0,1,2,3])
DFT_result=np.fft.fft(x)
print(DFT_result)

size=11
x=np.ones(size,dtype=int)
n=range(0,11,1)
n1=range(0,21,1)
h=[]
for i in n:
  temp=pow(2,n[i])
  h.append(temp)
y=np.convolve(x,h,mode='full')

plt.subplot(2,2,1)
plt.stem(n,x)
plt.title("x[n]")
plt.subplot(2,2,2)
plt.title("h[n]")
plt.stem(n,h)
plt.tight_layout()
plt.subplot(2,2,3)
plt.title("y[n]")
plt.stem(n1,y)
plt.tight_layout()

size=11
x=np.ones(size,dtype=int)
n=range(0,11,1)
n1=range(0,21,1)
h=[]
for i in n:
  temp=pow(2,n[i])
  h.append(temp)
y=np.convolve(x,h,mode='full')

plt.subplot(2,2,1)
plt.stem(n,x)
plt.title("x[n]")
plt.subplot(2,2,2)
plt.title("h[n]")
plt.stem(n,h)
plt.tight_layout()
plt.subplot(2,2,3)
plt.title("y[n]")
plt.stem(n1,y)
plt.tight_layout()

import matplotlib.pyplot as plt
import numpy as np
x=np.array([1,2,3,4,5])
h=np.array([1,2,3,4,5])
y=np.convolve(x,h,mode='full')
print(y)
n=range(0,9,1)
n1=range(0,5,1)
plt.subplot(2,2,1)
plt.stem(n1,x)
plt.title("x")
plt.subplot(2,2,2)
plt.title("h")
plt.stem(n1,h)
plt.tight_layout()
plt.subplot(2,2,3)
plt.title("y")
plt.stem(n,y)
plt.tight_layout()

import matplotlib.pyplot as plt
import numpy as np
x=np.array([1,2,3,4,5])
h=np.array([1,2,3,4,5])
y=np.convolve(x,h,mode='full')
print(y)
n=range(0,9,1)
n1=range(0,5,1)
plt.subplot(2,2,1)
plt.stem(n1,x)
plt.title("x")
plt.subplot(2,2,2)
plt.title("h")
plt.stem(n1,h)
plt.tight_layout()
plt.subplot(2,2,3)
plt.title("y")
plt.stem(n,y)
plt.tight_layout()

x= np.array([1,2,3,4,5])
h= np.array([1,2,3,4,5])
y=np.convolve(x,h,mode='full')
print(y)
n=range(0,9,1)

n1=range(0,5,1)
plt.subplot(2,2,1)
plt.stem(n,y)
plt.title('convolution')

plt.subplot(2,2,2)
plt.stem(n1,x)
plt.title('x')

plt.subplot(2,2,3)
plt.stem(n1,h)
plt.title('h')

import matplotlib.pyplot as plt
import numpy as np
x = np.array([1,2,3,4,5])
h = np.array([1,2,3,4,5])
y = np.convolve(x,h,mode='full')
print(y)
n=range(0,9,1)
plt.subplot(2,2,1)
plt.stem(n,y)

Q2. Write the following statement in FOPL and then converting them in prologprogram test the following goal.
* every american who sells weapons to hostile nation is a criminal.
* Every enemy of america is hostile.
* Iraque has some missiles.
* \all the missiles of iraque were sold by George.
* Iraque is a country.
* Missiles are  weapons

Q3. Write the following statement in FOPL and then converting them in prologprogram test the following goal
* Horses are mammals.
* an offspring of horse is a horse.
* Bluebeards is a charlie's parent.
Now, check if Charlie is a horse?

main:-
	write('this is main mf!').

in_room(bananas).
in_room(chair).
in_room(monkey).
clever(monkey).
tall(chair).
can_move(monkey,chair,bananas).
can_climb(monkey,chair).

can_reach(X,Y):-
	clever(X),
	close_enough(X,Y).
close_enough(X,Z):-
	can_climb(X,Y),
	under(Y,Z),
	tall(Y).
under(Y,Z):-
	in_room(X),
	in_room(Y),
	in_room(Z),
	can_move(X,Y,Z).

main:-
	write('this is main MF').

bigger(elephant, horse).
bigger(whatle, elephant).

% this is single line comment



%2. Find hcf of two numbers

hcf(0,X,X) :- !.
hcf(X,0,X) :- !.

hcf(X, Y, Result):-
	X >= Y,
	X1 is X - Y,
	hcf(X1, Y, Result).

hcf(X, Y, Result):-
	X < Y,
	Y1 is Y - X,
	hcf(X, Y1, Result).

% hcf(2,8, Res)


%3. Following are the facts about size of animals
bigger(elephant, whale).
bigger(whale, horse).
bigger(horse, dog).
bigger(dog,cat).
bigger(cat, mouse).
bigger(mouse, cockroach).
bigger(cockroach, housefly).

bigger(X, Y):-
	bigger(X, Z), bigger(Z, X).

/*
is elephant bigger than whale
is elephant bigger than whale
bigger(horse, elephant)	% no

*/


%5 








mother(sumitra, laxman).
mother(sumitra, satrughan).
husband(dasrath, sumitra).
husband(dasrath, kaikai).
husband(dasrath, kausalya).
son(X,Y).

% logic
son(A,C):-
	mother(C,A).
son(A,C):-
	husband(C,B).
	mother(B,A).
son(A,C):-
	husband(B,C).
	father(B,D).
father(A,B):-
	husband(A,C).
	mother(C,B).
% husband(X, Y):
% who is son of kaikai?
% son(kaikai).
% who are parents of ram
% who is father of ram
% who are son of dasrath?

hcf(0,X,X) :- !.
hcf(X,0,X) :- !.

hcf(X,Y,Result) :- 
	X>=Y,
	X1 is X-Y,
	hcf(X1,Y,Result).

hcf(X,Y,Result) :-
	X<Y,
	Y1 is Y-X,
	hcf(X,Y1,Result).

bigger(elephant,whale).
bigger(whale,horse).
bigger(horse,dog).
bigger(dog,cat).
bigger(cat,mouse).
bigger(mouse,cockroach).
bigger(cockroach,housefly).

bigger(X,Y) :- bigger(X,Z) , bigger(Z,Y).


mother(kaushalya,ram).
mother(kaikai,bharat).
mother(sumitra,laxman).
mother(sumitra,satrughan).

husband(dasarath, kaushalya).
husband(dasarath, kaikai).
husband(dasarath, sumitra).

son(A,C):-
	mother(C,A).
son(A,C):-
	husband(C,B).
	mother(B,A).
father(A,B):-
	husband(A,C).
	mother(C,B).

n = range(-5, 5, 1)
y = []
x=[]
z=[]
a=[]
for i in range(len(n)):
  temp  = math.pow(2,i)
  temp2 = math.pow(-2,i)
  temp3 = math.pow(0.5,i)
  temp4 = math.pow(-0.5,i)

  y.append(temp)
  x.append(temp2)
  z.append(temp3)
  a.append(temp4)
plt.subplot(2, 2, 1)
plt.stem(n, y)
plt.title("2^n function")
plt.grid(True)
plt.xlabel("n")
plt.ylabel("x[n]")
plt.subplot(2, 2, 2)
plt.stem(n, x)
plt.title("-2^n function")
plt.grid(True)
plt.xlabel("n")
plt.ylabel("x[n]")
plt.subplot(2, 2, 3)
plt.stem(n, z)
plt.title("0.5^n function")
plt.grid(True)
plt.xlabel("n")
plt.ylabel("x[n]")
plt.subplot(2, 2, 4)
plt.stem(n, a)
plt.title("-0.5^n function")
plt.grid(True)
plt.xlabel("n")
plt.ylabel("x[n]")
plt.suptitle("Plot x(n)=a^n")
plt.tight_layout()

n=range(-5,5,1)
y=[]
for i in range(len(n)):
  temp =(1 if n[i]>0 else 0)
  y.append (temp)


plt.stem(n,y)
plt.title ('Unit step function')
plt.grid('true')
plt.xlabel('n')
plt.ylabel('x[n]')

n = range(-5, 5, 1)
y = []
x=[]
z=[]
a=[]
for i in range(len(n)):
  temp = (2**i)
  temp2=(-2**i)
  temp3 = (0.5**i)
  temp4=(-0.5**i)
  y.append(temp)
  x.append(temp2)
  z.append(temp3)
  a.append(temp4)
plt.subplot(2, 2, 1)
plt.stem(n, y)
plt.title("2^n function")
plt.xlabel("n")
plt.ylabel("x[n]")
plt.subplot(2, 2, 2)
plt.stem(n, x)
plt.title("-2^n function")
plt.xlabel("n")
plt.ylabel("x[n]")
plt.subplot(2, 2, 3)
plt.stem(n, z)
plt.title("0.5^n function")
plt.xlabel("n")
plt.ylabel("x[n]")
plt.subplot(2, 2, 4)
plt.stem(n, a)
plt.title("-0.5^n function")
plt.xlabel("n")
plt.ylabel("x[n]")
plt.suptitle("DSAP-Ritik Krishna Shrestha")
plt.tight_layout()

n=range(-5,5,1)
y=[]
for i in range(len(n)):
  temp =(1 if n[i]>0 else 0)
  y.append (temp)


plt.stem(n,y)
plt.title ('Unit step function')
plt.grid('true')
plt.xlabel('n')
plt.ylabel('x[n]')

n=range(-5,5,1)
y=[]
for i in range(len(n)):
  temp =(1 if n[i]>0 else 0)
  y.append (temp)


plt.stem(n,y)
plt.title ('Unit step function')
plt.grid('true')
plt.xlabel('n')
plt.ylabel('x[n]')

def unit_step(t):
    return np.where(t >= 0, 1,0)

# Generate unit step signal
y = unit_step(t)

# Plotting
plt.plot(t, y)
plt.title("Unit Step Signal")
plt.xlabel("Time")
plt.ylabel("Amplitude")
plt.grid(True)
plt.show()