def T(x,t,a):
"""
conformal map for single splitting quench. a is qunech cutoff.
"""
if x>0:
return atan(-(x-t)/a)
else:
return -pi+atan(-(x-t)/a)
def TB(x,t,a):
"""
complex conjugate of T
"""
if x>0:
return atan(-(x+t)/a)
else:
return -pi+atan(-(x+t)/a)
def forward(base, humerus, radius, angleL, angleR):
E = two * radius * (base + humerus *
(mpmath.cos(angleR) - mpmath.cos(angleL)))
F = two * humerus * radius * (mpmath.sin(angleR) - mpmath.sin(angleL))
G = base * base + two * humerus * humerus + two * base * humerus * mpmath.cos(
angleR) - two * humerus * humerus * mpmath.cos(angleR - angleL)
if G - E != 0 and E * E + F * F - G * G > 0: # avoid div by zero, sqrt of negative
lumpXminus = (-F - mpmath.sqrt(E * E + F * F - G * G)) / (G - E)
lumpYminus = (-F - mpmath.sqrt(E * E + F * F - G * G)) / (G - E)
xMinus = base + humerus * mpmath.cos(angleR) + radius * mpmath.cos(
two * mpmath.atan(lumpXminus))
yMinus = humerus * mpmath.sin(angleR) + radius * mpmath.sin(
two * mpmath.atan(lumpYminus))
return [xMinus, yMinus]
def get_angle_alpha(self):
if (mpmath.almosteq(self.getBelief(), 1, epsilon)):
return mpmath.mpf("0")
return mpmath.atan(
(self.getUncertainty() * mpmath.sin(mpmath.pi / mpmath.mpf("3"))) /
(self.getDisbelief() +
self.getUncertainty() * mpmath.cos(math.pi / mpmath.mpf("3"))))
def get_angle_beta(self):
if mpmath.almosteq(self.getDisbelief(), 1, epsilon):
return mpmath.pi / 3
return mpmath.atan(
(self.getUncertainty() * mpmath.sin(mpmath.pi / mpmath.mpf("3"))) /
(mpmath.mpf("1") - (self.getDisbelief() + self.getUncertainty() *
mpmath.cos(mpmath.pi / mpmath.mpf("3")))))
def calculate_angles(Input_Cords):
# Constants
scalling_const = np.sqrt(.3)
f = 195 * scalling_const
t = 375 * scalling_const
f = f * (10 ^ -3)
t = t * (10 ^ -3)
angle_list = []
for coord in Input_Cords:
X = (coord[0]) * (10 ^ -3)
Y = (-coord[1]) * (10 ^ -3)
H = np.sqrt(math.power(X, 2) + math.power(Y, 2))
alpha = math.acos(
(math.power(t, 2) - math.power(f, 2) - math.power(H, 2)) /
(2 * f * H))
beta = math.atan(Y / X)
T_1 = alpha - beta + np.pi
T_2 = math.acos(
(math.power(H, 2) - math.power(f, 2) - math.power(t, 2)) /
(2 * f * t)) + np.pi
angles = [T_1, T_2]
angle_list.append(angles)
return angle_list
def f(x, y, z):
x = mp.mpmathify(x)
y = mp.mpmathify(y)
z = mp.mpmathify(z)
R = radius(x, y, z)
# solving 0 division problem here
if x == 0 and z == 0 or y == 0:
part1 = mp.mpmathify(0)
else:
part1 = mp.mpf('0.5') * y * (mp.power(z, 2) - mp.power(
x, 2)) * mp.asinh(y / (mp.sqrt(mp.power(x, 2) + mp.power(z, 2))))
if x == 0 and y == 0 or z == 0:
part2 = 0
else:
part2 = mp.mpf('0.5') * z * (mp.power(y, 2) - mp.power(
x, 2)) * mp.asinh(z / (mp.sqrt(mp.power(x, 2) + mp.power(y, 2))))
if x == 0 or y == 0 or z == 0:
part3 = 0
else:
part3 = x * y * z * mp.atan((y * z) / (x * R))
# solving 0 division problem here
part4 = mp.mpf('1 / 6') * R * (2 * mp.power(x, 2) - mp.power(y, 2) -
mp.power(z, 2))
return mp.mpmathify(part1 + part2 - part3 + part4)
def B_01(Non, Noff, alpha):
Ntot = Non + Noff
gam = (1 + 2 * Noff) * power(alpha, (0.5 + Ntot)) * gamma(0.5 + Ntot)
delta = ((2 * power((1 + alpha), Ntot)) * gamma(1 + Ntot) *
hyp2f1(0.5 + Noff, 1 + Ntot, 1.5 + Noff, (-1 / alpha)))
c1_c2 = sqrt(pi) / (2 * atan(1 / sqrt(alpha)))
return gam / (c1_c2 * delta)
def psi_m_unstable(obukhov, z):
# Lob Obukhov Length / m
# z Height / m
x = (1 - 16 * (z / obukhov))**(1 / 4)
pmu = (2 * math.log((1 + x) / 2) + math.log(
(1 + x**2) / 2) - 2 * mpmath.atan(x) + math.pi / 2)
return pmu
def mt_maju_rekursi(freq,res,thick):
rhoa = np.zeros((len(freq)))
phas = np.zeros((len(freq)))
for i in range(len(freq)):
c = mt_rekursi(res,thick,freq[i])
rhoa[i] = 2.*np.pi*freq[i]*4.*np.pi*1e-7*np.abs(c**2)
phas[i] = mpm.atan(c.real/-c.imag)
return freq,rhoa,phas
def QSatanElements(mat):
if QSMODE == MODE_NORM:
return np.arctan(mat)
else:
at = mpmath.matrix(mat.rows, mat.cols)
for i in range(mat.rows):
for j in range(mat.cols):
at[i,j] = mpmath.atan(mat[i,j])
return at
def atan_elements(mat):
if mode == mode_python:
return np.arctan(mat)
else:
at = mpmath.matrix(mat.rows, mat.cols)
for i in range(mat.rows):
for j in range(mat.cols):
at[i, j] = mpmath.atan(mat[i, j])
return at
def QSatanElements(mat):
if QSMODE == MODE_NORM:
return np.arctan(mat)
else:
at = mpmath.matrix(mat.rows, mat.cols)
for i in range(mat.rows):
for j in range(mat.cols):
at[i, j] = mpmath.atan(mat[i, j])
return at
def equiv_tan(x, range1, range2, radians=None, degrees=None, accuracy=2):
mpmath.mp.dps = accuracy + 1
range1, range2 = TrigEquivAngle.deg_or_rad([range1, range2], degrees)
firstTanAngle = mpmath.atan(x)
angles = TrigEquivAngle.create_equiv_angle_list([firstTanAngle],
range1, range2,
mpmath.pi)
return (TrigEquivAngle.clean_angles_rad_deg(angles, radians, degrees,
accuracy))
def arctan_degrees(y, x):
""" Arctangent of y/x in degrees."""
if x == 0 and y != 0:
return (math.copysign(1, y) * mpf(90)) % 360
else:
alpha = normalized_degrees_from_radians(atan(y / x))
if x >= 0:
return alpha
else:
return (alpha + mpf(180)) % 360
def g(x, y, z):
x = mp.mpmathify(x)
y = mp.mpmathify(y)
z = mp.mpmathify(z)
R = radius(x, y, z)
if x == 0 and y == 0:
part1 = mp.mpf('0')
else:
part1 = x * y * z * mp.asinh(
z / (mp.sqrt(mp.power(x, 2) + mp.power(y, 2))))
if y == 0 and z == 0:
part2 = mp.mpf('0')
else:
part2 = mp.mpf('1 / 6') * y * (3 * mp.power(z, 2) - mp.power(
y, 2)) * mp.asinh(x / (mp.sqrt(mp.power(y, 2) + mp.power(z, 2))))
if x == 0 and z == 0:
part3 = 0
else:
part3 = mp.mpf('1 / 6') * x * (3 * mp.power(z, 2) - mp.power(
x, 2)) * mp.asinh(y / (mp.sqrt(mp.power(x, 2) + mp.power(z, 2))))
if y == 0:
part4 = 0
else:
part4 = mp.mpf('0.5') * mp.power(y, 2) * z * mp.atan((x * z) / (y * R))
if x == 0:
part5 = 0
else:
part5 = mp.mpf('0.5') * mp.power(x, 2) * z * mp.atan((y * z) / (x * R))
if z == 0:
part6 = 0
else:
part6 = mp.mpf('1 / 6') * mp.power(z, 3) * mp.atan((x * y) / (z * R))
part7 = mp.mpf('1 / 3') * x * y * R
return mp.mpmathify(part1 + part2 + part3 - part4 - part5 - part6 - part7)
def calAngles(target, segments):
x = target.x
y = target.y
z = target.z
s1 = segments[0]
s2 = segments[1]
s3 = segments[2]
theta0 = atan(y / x)
theta1 = acos((s1**2 - z**2 + (s1 - z)**2)/(2*s1*sqrt(x**2 + y**2 + (s1 - z)**2))) \
+ acos((s2**2 - s3**2 + x**2 + y**2 + (s1 - z)**2)/(2*s2*sqrt(x**2 + y**2 + (s1 - z)**2)))
theta2 = acos((s2**2 + s3**2 - x**2 - y**2 - (s1 - z)**2) / (2 * s2 * s3))
return [theta0, theta1, theta2]
def get_angle(complex_number, deg=False):
atan_angle = None
if complex_number.real == 0:
if complex_number.imag > 0:
atan_angle = atan(mpf("inf"))
else:
atan_angle = atan(mpf("-inf"))
else:
atan_angle = atan(complex_number.imag / complex_number.real)
if complex_number.real < 0:
atan_angle += pi
if deg:
angle = degrees(atan_angle)
return angle
return atan_angle
def calc(weight, bike, acc, vo2max, threshold, economy, position, crr, grade,
wind, alt, temp):
weight = float(weight)
bike = float(bike)
acc = float(acc)
temp = float(temp)
alt = float(alt)
vo2max = float(vo2max)
threshold = float(threshold)
position = float(position)
economy = float(economy)
crr = float(crr)
grade = float(grade)
wind = float(wind)
mass = (weight + bike + acc) / 2.2
watts = round(
(vo2max * (weight / 2.2)) * (threshold / 100) * (economy / 60), 2)
rho = 1.2754 * (373 / ((temp - 32) * 5 / 9 + 273.15)) * np.exp(
-1.2754 * 9.8070 * alt * .3048 / 100000)
B = mpmath.atan(grade / 100)
Crv = .1
Crvn = Crv * (math.cos(B))
Cm = .97
Frg = 9.8072 * (mass) * ((crr * (math.cos(B))) + (math.sin(B)))
cda = position
W = wind * 1609.344 / 3600
A1 = (W**3 + Crvn**3) / 27
A2 = W * (5 * W * Crvn + (8 + Crvn**2) /
(cda * rho) + 6 * Frg) / (9 * cda * rho)
A3 = (2 * Frg * Crvn) / (3 * ((cda * rho)**2))
A4 = watts / (Cm * cda * rho)
A = A1 - A2 + A3 + A4
X = (((2) / (9 * cda * rho)) *
((3 * Frg) - (4 * W * Crvn) - ((W**2) * cda * (rho / 2)) -
((2 * Crvn) / (cda * rho))))
C = A**2 + X**3
if C >= 0:
V1 = (A + (A**2 + X**3)**(1 / 2))**(1 / 3)
V2 = np.cbrt(A - (((A**2) + (X**3))**(1.0 / 2.0)))
V3 = (2 / 3) * (W + ((Crvn) / (cda * rho)))
V = V1 + V2 - V3
else:
V = (2 * (-X)**(1 / 2)) * math.cos((1 / 3) * math.acos(
(A) / (((-X)**3)**1 / 2))) - (2 / 3) * ((W) + ((Crvn) /
(cda * rho)))
speed = round(V * 3600 / 1609.344, 2)
return speed, watts
def AngoloDiRotazione(I):
Iη = I[0]
Iξ = I[1]
Iηξ = I[2]
if Iηξ == 0:
return 0
else:
if Iη != Iξ:
A = 2 * Iηξ / (Iξ - Iη)
A = str(A)
A = sym.sympify(A)
A = sym.simplify(A)
α = mpmath.atan(A) / 2
else:
α = pi / 4 # piu o meno??
return α
def __compute_tau_xi(self):
from mpmath import sqrt, asin, ellipf, mpc, atan
if self.bound:
# Gradshtein 3.131.3.
u = self.__init_coordinates[0]**2 / 2
c, b, a = self.__roots_xi
gamma = asin(sqrt((u - c) / (b - c)))
q = sqrt((b - c) / (a - c))
# NOTE: here it's q**2 instead of q because of the difference in
# convention between G and mpmath :(
# NOTE: the external factor 1 / sqrt(8 * self.eps) comes from the fact
# that G gives the formula for a polynomial normalised by its leading coefficient.
retval = 1 / sqrt(8 * self.eps) * (2 / sqrt(a - c)) * ellipf(
gamma, q**2)
else:
# Here we will need two cases: one for when the other two roots are real
# but negative, one for when the other two roots are imaginary.
if isinstance(self.__roots_xi[1], mpc):
# G 3.138.7.
m = self.__roots_xi[1].real
n = abs(self.__roots_xi[1].imag)
# Only real root is the first one.
a = self.__roots_xi[0]
u = self.__init_coordinates[0]**2 / 2
p = sqrt((m - a)**2 + n**2)
retval = 1 / sqrt(8 * self.eps) * (1 / sqrt(p)) * ellipf(
2 * atan(sqrt((u - a) / p)), (p + m - a) / (2 * p))
else:
# G 3.131.7.
u = self.__init_coordinates[0]**2 / 2
c, b, a = self.__roots_xi
mu = asin(sqrt((u - a) / (u - b)))
q = sqrt((b - c) / (a - c))
retval = 1 / sqrt(8 * self.eps) * (2 / sqrt(a - c)) * ellipf(
mu, q**2)
# Fix the sign according to the initial momentum.
if self.__init_momenta[0] >= 0:
return -abs(retval)
else:
return abs(retval)
def __compute_tau_xi(self): from mpmath import sqrt, asin, ellipf, mpc, atan if self.bound: # Gradshtein 3.131.3. u = self.__init_coordinates[0]**2 / 2 c,b,a = self.__roots_xi gamma = asin(sqrt((u - c)/(b - c))) q = sqrt((b - c)/(a - c)) # NOTE: here it's q**2 instead of q because of the difference in # convention between G and mpmath :( # NOTE: the external factor 1 / sqrt(8 * self.eps) comes from the fact # that G gives the formula for a polynomial normalised by its leading coefficient. retval = 1 / sqrt(8 * self.eps) * (2 / sqrt(a - c)) * ellipf(gamma,q**2) else: # Here we will need two cases: one for when the other two roots are real # but negative, one for when the other two roots are imaginary. if isinstance(self.__roots_xi[1],mpc): # G 3.138.7. m = self.__roots_xi[1].real n = abs(self.__roots_xi[1].imag) # Only real root is the first one. a = self.__roots_xi[0] u = self.__init_coordinates[0]**2 / 2 p = sqrt((m - a)**2 + n**2) retval = 1 / sqrt(8 * self.eps) * (1 / sqrt(p)) * ellipf(2 * atan(sqrt((u - a) / p)),(p + m - a) / (2*p)) else: # G 3.131.7. u = self.__init_coordinates[0]**2 / 2 c,b,a = self.__roots_xi mu = asin(sqrt((u - a)/(u - b))) q = sqrt((b - c)/(a - c)) retval = 1 / sqrt(8 * self.eps) * (2 / sqrt(a - c)) * ellipf(mu,q**2) # Fix the sign according to the initial momentum. if self.__init_momenta[0] >= 0: return -abs(retval) else: return abs(retval)
def atan(op):
expr = mpmath.atan(op)
return convertFromRadians(expr)
from copy import copy
def sqrt(x):
if hasattr(x,'unit'):
return math.sqrt(x.number) | x.unit**0.5
return math.sqrt(x)
#trigonometric convenience functions which are "unit aware"
sin=lambda x: math.sin(1.*x)
cos=lambda x: math.cos(1.*x)
tan=lambda x: math.tan(1.*x)
cot=lambda x: math.cot(1.*x)
asin=lambda x: math.asin(x) | rad
acos=lambda x: math.acos(x) | rad
atan=lambda x: math.atan(x) | rad
atan2=lambda x,y: math.atan2(x,y) | rad
#~ cos=math.cos
#~ sin=math.sin
#~ tan=math.tan
#~ cosh=math.cosh
#~ sinh=math.sinh
#~ tanh=math.tanh
#~ acos=math.acos
#~ asin=math.asin
#~ atan=math.atan
acosh=math.acosh
asinh=math.asinh
atanh=math.atanh
#~ atan2=math.atan2
for angleR in anglesR:
E = two * radius * (base + humerus *
(mpmath.cos(angleR) - mpmath.cos(angleL)))
F = two * humerus * radius * (mpmath.sin(angleR) - mpmath.sin(angleL))
G = base * base + two * humerus * humerus + two * base * humerus * mpmath.cos(
angleR) - two * humerus * humerus * mpmath.cos(angleR - angleL)
if G - E != 0 and E * E + F * F - G * G > 0: # avoid div by zero, sqrt of negative
lumpXplus = (-F + mpmath.sqrt(E * E + F * F - G * G)) / (G - E)
lumpXminus = (-F - mpmath.sqrt(E * E + F * F - G * G)) / (G - E)
lumpYplus = (-F + mpmath.sqrt(E * E + F * F - G * G)) / (G - E)
lumpYminus = (-F - mpmath.sqrt(E * E + F * F - G * G)) / (G - E)
xPlus = base + humerus * mpmath.cos(angleR) + radius * mpmath.cos(
two * mpmath.atan(lumpXplus))
xMinus = base + humerus * mpmath.cos(angleR) + radius * mpmath.cos(
two * mpmath.atan(lumpXminus))
yPlus = humerus * mpmath.sin(angleR) + radius * mpmath.sin(
two * mpmath.atan(lumpYplus))
yMinus = humerus * mpmath.sin(angleR) + radius * mpmath.sin(
two * mpmath.atan(lumpYminus))
ax.plot(xMinus, yMinus, 'o', color='blue')
ax.plot(xMinus, yPlus, 'o', color='green')
ax.plot(xPlus, yMinus, 'o', color='red')
ax.plot(xPlus, yPlus, 'o', color='yellow')
ax.plot(baselineX, baselineY, color='black')
plt.show()
def theta(x, t, a):
if x > 0:
return atan(-(x - t) / a)
else:
return -pi + atan(-(x - t) / a)
+ " -1.08573620484781e-01 1.44764827303499e-01 "
+ " -2.17147240951600e-01 4.34294481903245e-01 "
+ " -8.37288532635468e-17"
).split(" ")
if x != ""
]
)
)
# generate the cordic luts
import mpmath, operator
mpmath.mp.prec = 100
tangents = [mpmath.mpf(0.5) ** i for i in range(0, 61)]
angles = [mpmath.atan(tan) for tan in tangents]
circle_fracs = [angle / (mpmath.pi / 2) for angle in angles]
# To speed up the cordic function, we can ignore fractions that are too
# small
circle_fracs = [cf for cf in circle_fracs if cf >= mpmath.mpf(0.5) ** (frac_bits + 2)]
cordic_lut = [decimal.Decimal(str(c)) for c in circle_fracs]
ps = [mpmath.cos(angle) for angle in angles]
p = decimal.Decimal(str(reduce(operator.mul, ps)))
cordic_p = decimal_to_fix_extrabits(p, internal_frac_bits)
with args["lutfile"] as f:
lutc = "#ifndef LUT_H\n"
lutc += "#define LUT_H\n"
lutc += "\n"
" -3.07931040695466e-02 3.32600850755936e-02 " +
" -3.62110089768021e-02 3.94927223523808e-02 " +
" -4.34283051806530e-02 4.82543694777421e-02 " +
" -5.42868520978555e-02 6.20420865245062e-02 " +
" -7.23824127625090e-02 8.68588960766508e-02 " +
" -1.08573620484781e-01 1.44764827303499e-01 " +
" -2.17147240951600e-01 4.34294481903245e-01 " +
" -8.37288532635468e-17").split(" ") if x != ''
]))
# generate the cordic luts
import mpmath, operator
mpmath.mp.prec = 100
tangents = [mpmath.mpf(0.5)**i for i in range(0, 61)]
angles = [mpmath.atan(tan) for tan in tangents]
circle_fracs = [angle / (mpmath.pi / 2) for angle in angles]
# To speed up the cordic function, we can ignore fractions that are too
# small
circle_fracs = [
cf for cf in circle_fracs if cf >= mpmath.mpf(0.5)**(frac_bits + 2)
]
cordic_lut = [decimal.Decimal(str(c)) for c in circle_fracs]
ps = [mpmath.cos(angle) for angle in angles]
p = decimal.Decimal(str(reduce(operator.mul, ps)))
cordic_p = decimal_to_fix_extrabits(p, internal_frac_bits)
with args["lutfile"] as f:
lutc = '#ifndef LUT_H\n'
'unitroots': ['primitive', [lambda x, y: Vector(mp.unitroots(x)),
None]], #
'hypot': ['primitive', [lambda x, y: mp.hypot(x, y[0]),
None]], # sqrt(x**2+y**2)
#
'sin': ['primitive', [lambda x, y: mp.sin(x), None]],
'cos': ['primitive', [lambda x, y: mp.cos(x), None]],
'tan': ['primitive', [lambda x, y: mp.tan(x), None]],
'sinpi': ['primitive', [lambda x, y: mp.sinpi(x), None]], #sin(x * pi)
'cospi': ['primitive', [lambda x, y: mp.cospi(x), None]],
'sec': ['primitive', [lambda x, y: mp.sec(x), None]],
'csc': ['primitive', [lambda x, y: mp.csc(x), None]],
'cot': ['primitive', [lambda x, y: mp.cot(x), None]],
'asin': ['primitive', [lambda x, y: mp.asin(x), None]],
'acos': ['primitive', [lambda x, y: mp.acos(x), None]],
'atan': ['primitive', [lambda x, y: mp.atan(x), None]],
'atan2': ['primitive', [lambda x, y: mp.atan2(y[0], x), None]],
'asec': ['primitive', [lambda x, y: mp.asec(x), None]],
'acsc': ['primitive', [lambda x, y: mp.acsc(x), None]],
'acot': ['primitive', [lambda x, y: mp.acot(x), None]],
'sinc': ['primitive', [lambda x, y: mp.sinc(x), None]],
'sincpi': ['primitive', [lambda x, y: mp.sincpi(x), None]],
'degrees': ['primitive', [lambda x, y: mp.degrees(x),
None]], #radian - >degree
'radians': ['primitive', [lambda x, y: mp.radians(x),
None]], #degree - >radian
#
'exp': ['primitive', [lambda x, y: mp.exp(x), None]],
'expj': ['primitive', [lambda x, y: mp.expj(x), None]], #exp(x*i)
'expjpi': ['primitive', [lambda x, y: mp.expjpi(x), None]], #exp(x*i*pi)
'expm1': ['primitive', [lambda x, y: mp.expm1(x), None]], #exp(x)-1
y = mp.sin(xx) / xx
return y * 0.5 * mp.pi
FUNCS = [
('Exp', lambda x: mp.exp(x), lambda x: mp.exp(x), (0.0, 1.0)),
('Exp2', lambda x: 2.0**x, lambda x: 2.0**x, (0.0, 1.0)),
('Log', lambda x: mp.log(x + 1), lambda x: mp.log(x + 1) *
(mp.log(2.0) - mp.log(x + 1)), (epsilon, 1.0 - epsilon)),
('Log2', lambda x: mp.log(x + 1, 2.0), lambda x: mp.log(x + 1, 2.0) *
(1 - mp.log(x + 1, 2.0)), (epsilon, 1.0 - epsilon)),
('Rcp', lambda x: 1.0 / (x + 1), lambda x: 1.0 / (x + 1), (0.0, 1.0)),
('Sqrt', lambda x: mp.sqrt(x + 1), lambda x: mp.sqrt(x + 1), (0.0, 1.0)),
('RSqrt', lambda x: 1.0 / mp.sqrt(x + 1), lambda x: 1.0 / mp.sqrt(x + 1),
(0.0, 1.0)),
('Atan', lambda x: mp.atan(x), lambda x: mp.atan(x), (0.0, 1.0)),
('Sin', sinSqr, sinSqr, (epsilon, 1.0)),
]
def generateCode():
with open(f'fitted.txt', 'w', newline='\n') as file:
file.write('\t// AUTO-GENERATED POLYNOMIAL APPROXIMATIONS\n')
file.write('\n')
file.write('\tpublic static class Util\n')
file.write('\t{\n')
for (name, func, weightFunc, domain) in FUNCS:
print()
print(f'{name}():')
orderRange = range(3, 10) if name != 'Sin' else range(1, 5)
def eval(self, z):
return mpmath.atan(z)
def g(x):
return mpmath.matrix([mpmath.atan(x[i]) for i in range(x.rows)])
def eval(self, z):
return mpmath.atan(z)
