def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
from hw4 import exchange
steps = list()
S_temp = list(S)
for injected in B:
B_temp = list(B)
B_temp.remove(injected)
ejected = exchange(S_temp,B_temp,injected)
S_temp.remove(ejected)
S_temp.append(injected)
step = (injected,ejected)
steps.append(step)
return steps
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
T = []
M = []
C = S.copy()
for b in B:
t1 = hw4.exchange(C, T, b)
T.append(b)
C.remove(t1)
C.append(b)
M.append((b, t1))
return M
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
T = []
M = []
C = S.copy()
for b in B:
t1 = hw4.exchange(C, T, b)
T.append(b)
C.remove(t1)
C.append(b)
M.append((b, t1))
return M
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
A = []
copyS = list(S)
result = []
for z in B:
w = exchange(copyS,A,z)
result.append((z,w))
copyS.remove(w)
copyS.append(z)
A.append(w)
return result
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
A = []
Sprime = S[:]
ret = []
while len(A) < len(B):
for vec in B:
A.append(vec)
if is_independent(A):
A.pop()
ejected = exchange(Sprime, A, vec)
Sprime[Sprime.index(ejected)] = vec
ret.append((vec, ejected))
A.append(vec)
else:
A.pop()
return ret
def morph(S, B):
"""
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
"""
S_new = list(S)
pairs = list()
A = list()
for j in range(len(B)):
z = B[j]
w = exchange(S_new, A, z)
A.append(z)
pairs.append((z, w))
S_new[S_new.index(w)] = z
return pairs
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
ret = []
A = []
SS = [x for x in S] #the grader does not like S being touched
for z in B:
w = exchange(SS,A,z)
if w is None:
break
else:
A.append(z)
SS.remove(w)
SS.append(z)
ret.append((z,w))
return ret
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
A = []
Sprime = S[:]
ret = []
while len(A) < len(B):
for vec in B:
A.append(vec)
if is_independent(A):
A.pop()
ejected = exchange(Sprime, A, vec)
Sprime[Sprime.index(ejected)] = vec
ret.append((vec, ejected))
A.append(vec)
else:
A.pop()
return ret
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
Z,W = list(),list()
Sk = S.copy()
for z in B:
Sk.append(z)
w = exchange(Sk,B,z)
Sk.remove(w)
Z.append(z)
W.append(w)
return [(z,w) for (z,w) in zip(Z,W)]
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
from hw4 import exchange
steps = list()
S_temp = list(S)
for injected in B:
B_temp = list(B)
B_temp.remove(injected)
ejected = exchange(S_temp, B_temp, injected)
S_temp.remove(ejected)
S_temp.append(injected)
step = (injected, ejected)
steps.append(step)
return steps
def morph(S, A):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
T=S[:];
b=[]
for x in A:
a=exchange(T, A, x)
T.remove(a)
T.append(x)
b.append((x,a))
return b
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
from hw4 import exchange
S_copy = S.copy()
veclist = []
protected = []
for z in B:
w = exchange(S_copy, protected, z)
S_copy.append(z) # vector to be injected from B into S
protected.append(z) # remember injected vector from B
S_copy.remove(w) # vector to be ejected from S
veclist.append((z, w))
return veclist
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
from hw4 import exchange
output = []
for z in B:
output = output + [(z, exchange(S,B,z))]
return output
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
result=[]
for z in B:
w=exchange(S,B,z)
#S.append(z)
#S.remove(w)
result.append((z,w))
return result
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
from hw4 import exchange
ieList = [] #list of 2 element vector tuples where tuple[0] == injected vector and tuple[1] == ejected vector
copyS = S[:]
for vector in B:
ieList.append((vector,exchange(copyS,B,vector)))
return ieList
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
T=[]
C=S.copy()
for i,vector in enumerate(B):
z=B[i]
w=exchange(C,B,z)
T.append((z,w))
return T
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
A = list()
inject_eject_list = list()
from hw4 import exchange
for i in range(len(B)):
w = exchange(S, A, B[i])
inject_eject_list.append((B[i],w))
return inject_eject_list
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
from hw4 import exchange
ieList = [
] #list of 2 element vector tuples where tuple[0] == injected vector and tuple[1] == ejected vector
copyS = S[:]
for vector in B:
ieList.append((vector, exchange(copyS, B, vector)))
return ieList
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
T=[x for x in S]
result = []
for z in B :
w=exchange(T, [i for i in B if i != z], z)
T.remove(w)
T += [z]
result.append((z,w))
return result
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
result = []
T=S[:]
for inject in B:
eject=hw4.exchange(T,B,inject)
T.remove(eject)
T=T+[inject]
result+=[(inject,eject)]
return result
def morph(S, B):
"""
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
"""
A = list()
inject_eject_list = list()
from hw4 import exchange
for i in range(len(B)):
w = exchange(S, A, B[i])
inject_eject_list.append((B[i], w))
return inject_eject_list
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
result = []
T = S[:]
for inject in B:
eject = hw4.exchange(T, B, inject)
T.remove(eject)
T = T + [inject]
result += [(inject, eject)]
return result
def morph(S, B):
'''
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
'''
ejectList = []
A = []
for iVec in B:
ejectVec = exchange(S, A, iVec)
A.append(iVec)
ejectList.append((iVec, ejectVec))
return ejectList
def morph(S, B):
"""
Input:
- S: a list of distinct Vec instances
- B: a list of linearly independent Vec instances
- Span S == Span B
Output: a list of pairs of vectors to inject and eject
Example:
>>> #This is how our morph works. Yours may yield different results.
>>> S = [list2vec(v) for v in [[1,0,0],[0,1,0],[0,0,1]]]
>>> B = [list2vec(v) for v in [[1,1,0],[0,1,1],[1,0,1]]]
>>> morph(S, B)
[(Vec({0, 1, 2},{0: 1, 1: 1, 2: 0}), Vec({0, 1, 2},{0: 1, 1: 0, 2: 0})), (Vec({0, 1, 2},{0: 0, 1: 1, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 1, 2: 0})), (Vec({0, 1, 2},{0: 1, 1: 0, 2: 1}), Vec({0, 1, 2},{0: 0, 1: 0, 2: 1}))]
"""
ejectList = []
A = []
for iVec in B:
ejectVec = exchange(S, A, iVec)
A.append(iVec)
ejectList.append((iVec, ejectVec))
return ejectList