def parallel_forms_reliability():
"""check whether the same equality and similarity of the test
on different parallel forms.
"""
X1 = np.array([4, 5, 3, 6, 7, 5, 6, 4, 3, 3])
X2 = np.array([5, 6, 5, 6, 7, 6, 7, 8, 7, 7])
r = coefficient(X1, X2)
return r
def __init__(self, coeff=None, generators=() ):
if not isinstance(coeff,coefficient.coefficient):
coeff = coefficient.coefficient(coeff)
if type(generators) is str:
generators = (generators,)
generators = tuple(generators)
for i in generators:
assert re.match(monomial.generatorRE,i)
self.coefficient = coeff.clean()
self.generators = generators
def __call__(self,poly):
answer = coefficient.coefficient(0)
for mono in poly:
if self.degree() != mono.degree():
answer = answer + mono
#TODO: check impact of this choice of order of condition checks on running time
elif self.leftMonomial == mono.submonomial(0,self.leftMonomial.degree()) \
and self.rightMonomial == mono.submonomial(self.leftMonomial.degree() + self.relation.degree(),mono.degree())\
and self.relation.doesAct(mono.submonomial(self.leftMonomial.degree(),self.leftMonomial.degree()+self.relation.degree())):
answer = answer + mono.coefficient * self.leftMonomial * self.relation.lowerOrderTerms * self.rightMonomial
else:
answer = answer + mono
return answer.clean()
def __init__(self, monomials=(), coeff=coefficient.coefficient(1)):
if type(monomials) not in [list,tuple]:
monomials = (monomials,)
monomials= tuple(monomials)
self.coefficient = coeff
index = 0
while index < len(monomials):
if type(monomials[index]) in [coefficient.coefficient,int,float]:
monomials = monomials[:index] + (monomial.monomial(monomials[index]),) + monomials[index+1:]
index +=1
for i in monomials:
self.coefficient = self.coefficient * i.coefficient
self.monomials = tuple( [x.withCoefficientOf1() for x in monomials])
def __init__(self,*args,**kwargs):
relationClass.__init__(self,args,kwargs)
self.coefficient = coefficient.coefficient(1)
def retest_reliablity():
"""check whether a test is reliable in different period"""
X1 = np.array([54, 67, 67, 83, 87, 89, 84, 90, 98, 65])
X2 = np.array([56, 77, 87, 89, 89, 90, 87, 92, 99, 76])
r = coefficient(X1, X2)
return r
def __init__(self, leftHandRepresentation ,rightHandRepresentation):
self.leftHandRepresentation = leftHandRepresentation
self.rightHandRepresentation = rightHandRepresentation
self.coefficient = coefficient.coefficient(1)
import cos, sin, coefficient, songs
import matplotlib.pyplot as plt
omega = coefficient.omega
fourier = coefficient.coefficient()
the_fox = songs.the_fox
basehunter_dota = songs.basehunter_dota
thrift_shop = songs.thrift_shop
beautiful_girls = songs.beautiful_girls
wrecking_ball = songs.wrecking_ball
unknown = songs.unknown_song
current = the_fox
def plot():
x = 0.01
x_values = []
while x <= 10.0:
x_values.append(x)
x += 0.01
# x*sin(x) and fourier series of it:
y_fourier = []
for x in x_values:
f_x = fourier[0] / 2
for n in range(1, 16):
f_x += fourier[n * 2 - 1] * cos.number(n * omega * x) + fourier[n * 2] * sin.number(n * omega * x)
