Efficiently apply the as_dict() method
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I'm trying to make a symbolic product of matrices to act on a vector and then reading the powers and the associated coefficients of the resulting polynomial in each entry.
For that, I defined dictionaries in which I finally get a key corresponding to the powers of the several variables of the polynomial and the associated coefficient as the value.
Now, it works fine for dimension d=2 and n=10 steps (applying a certain matrix T(d)*DFT(d) 20 times), but for d=2 and n=20 it takes an eternity to finish.
The problem is in the line prelim = Poly(fila*maxpol,syms).as_dict()
Is there any way to make it more efficient?
def Probabilidad(n,d=2,Vector=VectorInit):
"""Vector es tu estado incial"""
NVector=((T(d)*DFT(d))**n )*Vector
syms=symbols('a0:%d'%int(2**d/2))
maxpol=prod([x**n for x in syms])
x={}
y={}
for fila in NVector:
prelim = Poly(fila*maxpol,syms).as_dict()
x = {tuple(deg - n for deg in key): prelim[key] for key in prelim}
y = { k: abs(x.get(k, 0))**2 + y.get(k, 0) for k in set(x) | set(y)}
return y
dictionary sympy polynomials processing-efficiency
edited Nov 9 at 22:59
Lee Mac
3,27231338
asked Nov 9 at 22:51
Fer Lomoc
11
add a comment |
up vote
0
down vote
favorite
I'm trying to make a symbolic product of matrices to act on a vector and then reading the powers and the associated coefficients of the resulting polynomial in each entry.
For that, I defined dictionaries in which I finally get a key corresponding to the powers of the several variables of the polynomial and the associated coefficient as the value.
Now, it works fine for dimension d=2 and n=10 steps (applying a certain matrix T(d)*DFT(d) 20 times), but for d=2 and n=20 it takes an eternity to finish.
The problem is in the line prelim = Poly(fila*maxpol,syms).as_dict()
Is there any way to make it more efficient?
def Probabilidad(n,d=2,Vector=VectorInit):
"""Vector es tu estado incial"""
NVector=((T(d)*DFT(d))**n )*Vector
syms=symbols('a0:%d'%int(2**d/2))
maxpol=prod([x**n for x in syms])
x={}
y={}
for fila in NVector:
prelim = Poly(fila*maxpol,syms).as_dict()
x = {tuple(deg - n for deg in key): prelim[key] for key in prelim}
y = { k: abs(x.get(k, 0))**2 + y.get(k, 0) for k in set(x) | set(y)}
return y
dictionary sympy polynomials processing-efficiency
edited Nov 9 at 22:59
Lee Mac
3,27231338
asked Nov 9 at 22:51
Fer Lomoc
11
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I'm trying to make a symbolic product of matrices to act on a vector and then reading the powers and the associated coefficients of the resulting polynomial in each entry.
For that, I defined dictionaries in which I finally get a key corresponding to the powers of the several variables of the polynomial and the associated coefficient as the value.
Now, it works fine for dimension d=2 and n=10 steps (applying a certain matrix T(d)*DFT(d) 20 times), but for d=2 and n=20 it takes an eternity to finish.
The problem is in the line prelim = Poly(fila*maxpol,syms).as_dict()
Is there any way to make it more efficient?
def Probabilidad(n,d=2,Vector=VectorInit):
"""Vector es tu estado incial"""
NVector=((T(d)*DFT(d))**n )*Vector
syms=symbols('a0:%d'%int(2**d/2))
maxpol=prod([x**n for x in syms])
x={}
y={}
for fila in NVector:
prelim = Poly(fila*maxpol,syms).as_dict()
x = {tuple(deg - n for deg in key): prelim[key] for key in prelim}
y = { k: abs(x.get(k, 0))**2 + y.get(k, 0) for k in set(x) | set(y)}
return y
dictionary sympy polynomials processing-efficiency
edited Nov 9 at 22:59
Lee Mac
3,27231338
asked Nov 9 at 22:51
Fer Lomoc
11
I'm trying to make a symbolic product of matrices to act on a vector and then reading the powers and the associated coefficients of the resulting polynomial in each entry.
For that, I defined dictionaries in which I finally get a key corresponding to the powers of the several variables of the polynomial and the associated coefficient as the value.
Now, it works fine for dimension d=2 and n=10 steps (applying a certain matrix T(d)*DFT(d) 20 times), but for d=2 and n=20 it takes an eternity to finish.
The problem is in the line prelim = Poly(fila*maxpol,syms).as_dict()
Is there any way to make it more efficient?
def Probabilidad(n,d=2,Vector=VectorInit):
"""Vector es tu estado incial"""
NVector=((T(d)*DFT(d))**n )*Vector
syms=symbols('a0:%d'%int(2**d/2))
maxpol=prod([x**n for x in syms])
x={}
y={}
for fila in NVector:
prelim = Poly(fila*maxpol,syms).as_dict()
x = {tuple(deg - n for deg in key): prelim[key] for key in prelim}
y = { k: abs(x.get(k, 0))**2 + y.get(k, 0) for k in set(x) | set(y)}
return y
dictionary sympy polynomials processing-efficiency
dictionary sympy polynomials processing-efficiency
edited Nov 9 at 22:59
Lee Mac
3,27231338
asked Nov 9 at 22:51
Fer Lomoc
11
edited Nov 9 at 22:59
Lee Mac
3,27231338
asked Nov 9 at 22:51
Fer Lomoc
11
edited Nov 9 at 22:59
Lee Mac
3,27231338
edited Nov 9 at 22:59
Lee Mac
3,27231338
edited Nov 9 at 22:59
Lee Mac
3,27231338
3,27231338
asked Nov 9 at 22:51
Fer Lomoc
11
asked Nov 9 at 22:51
Fer Lomoc
11
asked Nov 9 at 22:51
Fer Lomoc
11
11
add a comment |
add a comment |
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