\(\int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx\) [367]

Optimal result

Integrand size = 27, antiderivative size = 150 \[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=-\frac {8 a^3 (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-3+m}}{d e (5-m) \left (12-7 m+m^2\right )}-\frac {4 a^2 (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-2+m}}{d e \left (20-9 m+m^2\right )}-\frac {a (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-1+m}}{d e (5-m)} \]

[Out]

-8*a^3*(e*cos(d*x+c))^(6-2*m)*(a+a*sin(d*x+c))^(-3+m)/d/e/(-m^3+12*m^2-47*m+60)-4*a^2*(e*cos(d*x+c))^(6-2*m)*(
a+a*sin(d*x+c))^(-2+m)/d/e/(4-m)/(5-m)-a*(e*cos(d*x+c))^(6-2*m)*(a+a*sin(d*x+c))^(-1+m)/d/e/(5-m)

Rubi [A] (verified)

Time = 0.16 (sec) , antiderivative size = 150, normalized size of antiderivative = 1.00, number of steps used = 3, number of rules used = 2, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.074, Rules used = {2753, 2752} \[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=-\frac {8 a^3 (a \sin (c+d x)+a)^{m-3} (e \cos (c+d x))^{6-2 m}}{d e (5-m) \left (m^2-7 m+12\right )}-\frac {4 a^2 (a \sin (c+d x)+a)^{m-2} (e \cos (c+d x))^{6-2 m}}{d e \left (m^2-9 m+20\right )}-\frac {a (a \sin (c+d x)+a)^{m-1} (e \cos (c+d x))^{6-2 m}}{d e (5-m)} \]

[In]

Int[(e*Cos[c + d*x])^(5 - 2*m)*(a + a*Sin[c + d*x])^m,x]

[Out]

(-8*a^3*(e*Cos[c + d*x])^(6 - 2*m)*(a + a*Sin[c + d*x])^(-3 + m))/(d*e*(5 - m)*(12 - 7*m + m^2)) - (4*a^2*(e*C
os[c + d*x])^(6 - 2*m)*(a + a*Sin[c + d*x])^(-2 + m))/(d*e*(20 - 9*m + m^2)) - (a*(e*Cos[c + d*x])^(6 - 2*m)*(
a + a*Sin[c + d*x])^(-1 + m))/(d*e*(5 - m))

Rule 2752

Int[(cos[(e_.) + (f_.)*(x_)]*(g_.))^(p_)*((a_) + (b_.)*sin[(e_.) + (f_.)*(x_)])^(m_), x_Symbol] :> Simp[b*(g*C
os[e + f*x])^(p + 1)*((a + b*Sin[e + f*x])^(m - 1)/(f*g*(m - 1))), x] /; FreeQ[{a, b, e, f, g, m, p}, x] && Eq
Q[a^2 - b^2, 0] && EqQ[2*m + p - 1, 0] && NeQ[m, 1]

Rule 2753

Int[(cos[(e_.) + (f_.)*(x_)]*(g_.))^(p_)*((a_) + (b_.)*sin[(e_.) + (f_.)*(x_)])^(m_), x_Symbol] :> Simp[(-b)*(
g*Cos[e + f*x])^(p + 1)*((a + b*Sin[e + f*x])^(m - 1)/(f*g*(m + p))), x] + Dist[a*((2*m + p - 1)/(m + p)), Int
[(g*Cos[e + f*x])^p*(a + b*Sin[e + f*x])^(m - 1), x], x] /; FreeQ[{a, b, e, f, g, m, p}, x] && EqQ[a^2 - b^2,
0] && IGtQ[Simplify[(2*m + p - 1)/2], 0] && NeQ[m + p, 0]

Rubi steps \begin{align*} \text {integral}& = -\frac {a (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-1+m}}{d e (5-m)}+\frac {(4 a) \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^{-1+m} \, dx}{5-m} \\ & = -\frac {4 a^2 (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-2+m}}{d e \left (20-9 m+m^2\right )}-\frac {a (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-1+m}}{d e (5-m)}+\frac {\left (8 a^2\right ) \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^{-2+m} \, dx}{20-9 m+m^2} \\ & = -\frac {8 a^3 (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-3+m}}{d e (3-m) \left (20-9 m+m^2\right )}-\frac {4 a^2 (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-2+m}}{d e \left (20-9 m+m^2\right )}-\frac {a (e \cos (c+d x))^{6-2 m} (a+a \sin (c+d x))^{-1+m}}{d e (5-m)} \\ \end{align*}

Mathematica [A] (verified)

Time = 0.29 (sec) , antiderivative size = 105, normalized size of antiderivative = 0.70 \[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=\frac {e^5 \cos ^6(c+d x) (e \cos (c+d x))^{-2 m} (a (1+\sin (c+d x)))^m \left (32-11 m+m^2+2 \left (18-9 m+m^2\right ) \sin (c+d x)+\left (12-7 m+m^2\right ) \sin ^2(c+d x)\right )}{d (-5+m) (-4+m) (-3+m) (1+\sin (c+d x))^3} \]

[In]

Integrate[(e*Cos[c + d*x])^(5 - 2*m)*(a + a*Sin[c + d*x])^m,x]

[Out]

(e^5*Cos[c + d*x]^6*(a*(1 + Sin[c + d*x]))^m*(32 - 11*m + m^2 + 2*(18 - 9*m + m^2)*Sin[c + d*x] + (12 - 7*m +
m^2)*Sin[c + d*x]^2))/(d*(-5 + m)*(-4 + m)*(-3 + m)*(e*Cos[c + d*x])^(2*m)*(1 + Sin[c + d*x])^3)

Maple [F]

\[\int \left (e \cos \left (d x +c \right )\right )^{5-2 m} \left (a +a \sin \left (d x +c \right )\right )^{m}d x\]

[In]

int((e*cos(d*x+c))^(5-2*m)*(a+a*sin(d*x+c))^m,x)

[Out]

int((e*cos(d*x+c))^(5-2*m)*(a+a*sin(d*x+c))^m,x)

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 314 vs. \(2 (145) = 290\).

Time = 0.31 (sec) , antiderivative size = 314, normalized size of antiderivative = 2.09 \[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=-\frac {{\left ({\left (m^{2} - 7 \, m + 12\right )} \cos \left (d x + c\right )^{3} - {\left (m^{2} - 11 \, m + 24\right )} \cos \left (d x + c\right )^{2} - 2 \, {\left (m^{2} - 9 \, m + 22\right )} \cos \left (d x + c\right ) - {\left ({\left (m^{2} - 7 \, m + 12\right )} \cos \left (d x + c\right )^{2} + 2 \, {\left (m^{2} - 9 \, m + 18\right )} \cos \left (d x + c\right ) - 8\right )} \sin \left (d x + c\right ) - 8\right )} \left (e \cos \left (d x + c\right )\right )^{-2 \, m + 5} {\left (a \sin \left (d x + c\right ) + a\right )}^{m}}{4 \, d m^{3} - {\left (d m^{3} - 12 \, d m^{2} + 47 \, d m - 60 \, d\right )} \cos \left (d x + c\right )^{3} - 48 \, d m^{2} - 3 \, {\left (d m^{3} - 12 \, d m^{2} + 47 \, d m - 60 \, d\right )} \cos \left (d x + c\right )^{2} + 188 \, d m + 2 \, {\left (d m^{3} - 12 \, d m^{2} + 47 \, d m - 60 \, d\right )} \cos \left (d x + c\right ) + {\left (4 \, d m^{3} - 48 \, d m^{2} - {\left (d m^{3} - 12 \, d m^{2} + 47 \, d m - 60 \, d\right )} \cos \left (d x + c\right )^{2} + 188 \, d m + 2 \, {\left (d m^{3} - 12 \, d m^{2} + 47 \, d m - 60 \, d\right )} \cos \left (d x + c\right ) - 240 \, d\right )} \sin \left (d x + c\right ) - 240 \, d} \]

[In]

integrate((e*cos(d*x+c))^(5-2*m)*(a+a*sin(d*x+c))^m,x, algorithm="fricas")

[Out]

-((m^2 - 7*m + 12)*cos(d*x + c)^3 - (m^2 - 11*m + 24)*cos(d*x + c)^2 - 2*(m^2 - 9*m + 22)*cos(d*x + c) - ((m^2
- 7*m + 12)*cos(d*x + c)^2 + 2*(m^2 - 9*m + 18)*cos(d*x + c) - 8)*sin(d*x + c) - 8)*(e*cos(d*x + c))^(-2*m +
5)*(a*sin(d*x + c) + a)^m/(4*d*m^3 - (d*m^3 - 12*d*m^2 + 47*d*m - 60*d)*cos(d*x + c)^3 - 48*d*m^2 - 3*(d*m^3 -
12*d*m^2 + 47*d*m - 60*d)*cos(d*x + c)^2 + 188*d*m + 2*(d*m^3 - 12*d*m^2 + 47*d*m - 60*d)*cos(d*x + c) + (4*d
*m^3 - 48*d*m^2 - (d*m^3 - 12*d*m^2 + 47*d*m - 60*d)*cos(d*x + c)^2 + 188*d*m + 2*(d*m^3 - 12*d*m^2 + 47*d*m -
60*d)*cos(d*x + c) - 240*d)*sin(d*x + c) - 240*d)

Sympy [F]

\[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=\int \left (a \left (\sin {\left (c + d x \right )} + 1\right )\right )^{m} \left (e \cos {\left (c + d x \right )}\right )^{5 - 2 m}\, dx \]

[In]

integrate((e*cos(d*x+c))**(5-2*m)*(a+a*sin(d*x+c))**m,x)

[Out]

Integral((a*(sin(c + d*x) + 1))**m*(e*cos(c + d*x))**(5 - 2*m), x)

Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 624 vs. \(2 (145) = 290\).

Time = 0.31 (sec) , antiderivative size = 624, normalized size of antiderivative = 4.16 \[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=\frac {{\left ({\left (m^{2} - 11 \, m + 32\right )} a^{m} e^{5} - \frac {2 \, {\left (m^{2} - 15 \, m + 60\right )} a^{m} e^{5} \sin \left (d x + c\right )}{\cos \left (d x + c\right ) + 1} - \frac {{\left (3 \, m^{2} - m - 160\right )} a^{m} e^{5} \sin \left (d x + c\right )^{2}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{2}} + \frac {8 \, {\left (m^{2} - 7 \, m - 20\right )} a^{m} e^{5} \sin \left (d x + c\right )^{3}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{3}} + \frac {2 \, {\left (m^{2} + 5 \, m + 160\right )} a^{m} e^{5} \sin \left (d x + c\right )^{4}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{4}} - \frac {4 \, {\left (3 \, m^{2} - 13 \, m + 116\right )} a^{m} e^{5} \sin \left (d x + c\right )^{5}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{5}} + \frac {2 \, {\left (m^{2} + 5 \, m + 160\right )} a^{m} e^{5} \sin \left (d x + c\right )^{6}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{6}} + \frac {8 \, {\left (m^{2} - 7 \, m - 20\right )} a^{m} e^{5} \sin \left (d x + c\right )^{7}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{7}} - \frac {{\left (3 \, m^{2} - m - 160\right )} a^{m} e^{5} \sin \left (d x + c\right )^{8}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{8}} - \frac {2 \, {\left (m^{2} - 15 \, m + 60\right )} a^{m} e^{5} \sin \left (d x + c\right )^{9}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{9}} + \frac {{\left (m^{2} - 11 \, m + 32\right )} a^{m} e^{5} \sin \left (d x + c\right )^{10}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{10}}\right )} e^{\left (-2 \, m \log \left (-\frac {\sin \left (d x + c\right )}{\cos \left (d x + c\right ) + 1} + 1\right ) + m \log \left (\frac {\sin \left (d x + c\right )^{2}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{2}} + 1\right )\right )}}{{\left ({\left (m^{3} - 12 \, m^{2} + 47 \, m - 60\right )} e^{2 \, m} + \frac {5 \, {\left (m^{3} - 12 \, m^{2} + 47 \, m - 60\right )} e^{2 \, m} \sin \left (d x + c\right )^{2}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{2}} + \frac {10 \, {\left (m^{3} - 12 \, m^{2} + 47 \, m - 60\right )} e^{2 \, m} \sin \left (d x + c\right )^{4}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{4}} + \frac {10 \, {\left (m^{3} - 12 \, m^{2} + 47 \, m - 60\right )} e^{2 \, m} \sin \left (d x + c\right )^{6}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{6}} + \frac {5 \, {\left (m^{3} - 12 \, m^{2} + 47 \, m - 60\right )} e^{2 \, m} \sin \left (d x + c\right )^{8}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{8}} + \frac {{\left (m^{3} - 12 \, m^{2} + 47 \, m - 60\right )} e^{2 \, m} \sin \left (d x + c\right )^{10}}{{\left (\cos \left (d x + c\right ) + 1\right )}^{10}}\right )} d} \]

[In]

integrate((e*cos(d*x+c))^(5-2*m)*(a+a*sin(d*x+c))^m,x, algorithm="maxima")

[Out]

((m^2 - 11*m + 32)*a^m*e^5 - 2*(m^2 - 15*m + 60)*a^m*e^5*sin(d*x + c)/(cos(d*x + c) + 1) - (3*m^2 - m - 160)*a
^m*e^5*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 8*(m^2 - 7*m - 20)*a^m*e^5*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 +
2*(m^2 + 5*m + 160)*a^m*e^5*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 4*(3*m^2 - 13*m + 116)*a^m*e^5*sin(d*x + c)^
5/(cos(d*x + c) + 1)^5 + 2*(m^2 + 5*m + 160)*a^m*e^5*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 8*(m^2 - 7*m - 20)*
a^m*e^5*sin(d*x + c)^7/(cos(d*x + c) + 1)^7 - (3*m^2 - m - 160)*a^m*e^5*sin(d*x + c)^8/(cos(d*x + c) + 1)^8 -
2*(m^2 - 15*m + 60)*a^m*e^5*sin(d*x + c)^9/(cos(d*x + c) + 1)^9 + (m^2 - 11*m + 32)*a^m*e^5*sin(d*x + c)^10/(c
os(d*x + c) + 1)^10)*e^(-2*m*log(-sin(d*x + c)/(cos(d*x + c) + 1) + 1) + m*log(sin(d*x + c)^2/(cos(d*x + c) +
1)^2 + 1))/(((m^3 - 12*m^2 + 47*m - 60)*e^(2*m) + 5*(m^3 - 12*m^2 + 47*m - 60)*e^(2*m)*sin(d*x + c)^2/(cos(d*x
+ c) + 1)^2 + 10*(m^3 - 12*m^2 + 47*m - 60)*e^(2*m)*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 10*(m^3 - 12*m^2 +
47*m - 60)*e^(2*m)*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 5*(m^3 - 12*m^2 + 47*m - 60)*e^(2*m)*sin(d*x + c)^8/(
cos(d*x + c) + 1)^8 + (m^3 - 12*m^2 + 47*m - 60)*e^(2*m)*sin(d*x + c)^10/(cos(d*x + c) + 1)^10)*d)

Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 37234 vs. \(2 (145) = 290\).

Time = 41.84 (sec) , antiderivative size = 37234, normalized size of antiderivative = 248.23 \[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=\text {Too large to display} \]

[In]

integrate((e*cos(d*x+c))^(5-2*m)*(a+a*sin(d*x+c))^m,x, algorithm="giac")

[Out]

4*(m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)
) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c
)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x
+ 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x
+ 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*f
loor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*
e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floo
r(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x +
1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^10 - 2*m^2*e^(m*log(2) - 2*m*log(4*a
bs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5
*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*
m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi
*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*fl
oor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2
) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/
4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) +
1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/
2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^9 - 2*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x -
1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/
4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 -
2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2
*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor
(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2)
+ 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*
x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi +
1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x +
1/2*c)^10 - 11*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4
*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d
*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(t
an(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(ta
n(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4
) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2
*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c
/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan
(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^10 - 23*m^2*e^(m*log(2) -
2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5
*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*p
i + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(
e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e
) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2
*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c
) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/
pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1
/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^8 - 16*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi
- 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan
(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x +
1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x +
1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*
c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*s
gn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*p
i*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(
1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*ta
n(1/2*d*x + 1/2*c)^9 + 30*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/
4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8
*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi +
1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/
2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x
/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*p
i*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^9 - m^2*e^(m*lo
g(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(
a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan
(1/2*d*x + 1/2*c)^10 + 22*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/
4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8
*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi +
1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/
2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x
/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*p
i*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^10 + 32*e^(m*log(
2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)
) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-
5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)
*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*
sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1
/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*
tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^10 - 32*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1
/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*a
bs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2
*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*
d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi
+ 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(
-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) +
1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*
floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4
*c)^2*tan(1/2*d*x + 1/2*c)^7 - 14*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1
/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c)
)/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*
x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi +
1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sg
n(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*flo
or(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/
2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^8 + 221
*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) +
m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2
+ 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1
/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/
2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor
(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*ta
n(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/
2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2
*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^8 + 2*m^2*e^(m*log(2) - 2*m*log(4*abs(e)
*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(
4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^9 + 1
60*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1))
+ m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^
2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x +
1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x +
1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*flo
or(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*
tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(
1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1
/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^9 - 120*e^(m*log(2) - 2*m*log(4*abs(e)*a
bs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*
abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e
*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*
tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2
*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*
m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*
sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) -
5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^9 + 11*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/
(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x -
1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^10 - 64*e^(m*log(2) - 2*m*log(4*abs(e)*ab
s(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*a
bs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*
tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*t
an(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*
d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m
*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*s
gn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) -
5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e
) - 5/4*c)*tan(1/2*d*x + 1/2*c)^10 + 22*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/
(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x -
1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(
1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1
/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x
/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*p
i*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*
pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/p
i + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)
^6 + 64*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2
+ 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x -
1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/
2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2
*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + p
i*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2
- 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi -
floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*
d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^7 + 224*m*e^(m*log(2) - 2*m*log(4
*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) +
5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*p
i*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*
pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*
floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) -
1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2)
+ 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^7 + 23*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x
- 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi -
1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^8 + 58*m*e^(m*log(2) - 2*m*log
(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2)
+ 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2
*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/
4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*
m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi +
1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)
- 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/
2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^8 - 480*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x -
1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/
4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 -
2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2
*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor
(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2)
+ 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*
x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi +
1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x
+ 1/2*c)^8 - 30*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/
4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*
d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^9 - 400*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1
/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4
*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2
*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*
e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(
1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2)
+ 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x
- 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi +
1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1
/2*c)^9 - 32*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^
2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x -
1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^10 + 68*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/
4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*
d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*
e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e
*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1
/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) +
1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x
- 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1
/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x +
1/2*c)^5 + 116*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1
/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4
*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn
(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(
tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1
/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1
/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2
*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*t
an(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^6 - 210*m*e^(m*log(2) - 2*
m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*l
og(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi
+ 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e)
- 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e)
+ pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c
/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi
+ 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2
*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^6 + 32*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi -
1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1
/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^7 - 608*m*e^(m*log(2) -
2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) -
5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*
pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn
(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(
e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/
2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*
c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c
/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(
1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^7 - 320*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/
4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8
*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2
*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*
c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi
- floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a
) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m
- 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*
d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(
1/2*d*x + 1/2*c)^7 - 221*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4
*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*
pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^8 + 160*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/
4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8
*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2
*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*
c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi
- floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a
) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m
- 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*
d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/
2*d*x + 1/2*c)^8 + 120*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x
- 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi -
1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^9 + 22*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4
*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*
pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*
c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c
)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi
- floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a)
+ 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m -
5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d
*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1
/2*d*x + 1/2*c)^4 - 508*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*
d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*p
i - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*
d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/p
i + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*
sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^5 - 22*m^2*e^(m*l
og(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs
(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*ta
n(1/2*d*x + 1/2*c)^6 - 860*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1
/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/
8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c
) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi
+ 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1
/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*
x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*
pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^6 + 320*e^(m*log
(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a
)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(
-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1
)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)
*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi +
1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e
*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^6 - 224*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/
8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*ab
s(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^7 + 1120*e^(m*lo
g(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(
a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan
(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 -
1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1
)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/p
i + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi +
1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*
e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^7 + 480*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*p
i - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(t
an(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^8 - 32*m^2*e^(m*log
(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a
)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(
-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1
)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)
*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi +
1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e
*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^3 - 116*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(
1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*
abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/
2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2
*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi
+ 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor
(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a)
+ 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi
*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/
4*c)*tan(1/2*d*x + 1/2*c)^4 - 210*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8
*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/
(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/
2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(
e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor
(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2)
- 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^4 - 68*
m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) +
m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2
+ 1)))*tan(1/2*d*x + 1/2*c)^5 + 1136*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1
/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c)
)/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*
x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi +
1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sg
n(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*flo
or(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/
2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^5 + 2
10*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1))
+ m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^
2 + 1)))*tan(1/2*d*x + 1/2*c)^6 + 1760*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(
1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c
))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d
*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*
x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi +
1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*s
gn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*fl
oor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^6 + 32
0*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m
*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 +
1)))*tan(1/2*d*x + 1/2*c)^7 - 23*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1
/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c)
)/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*
x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi +
1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sg
n(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*flo
or(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/
2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^2 - 6
4*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1))
+ m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)
^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x
+ 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x +
1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*fl
oor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e
*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor
(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x +
1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^3 + 224*m*e^(m*log(2) - 2*m*log(4*abs(e
)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log
(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sg
n(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn
(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(
1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) -
pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi
*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4
) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^3 - 22*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4
*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d
*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^4 + 860*m*e^(m*log(2) - 2*m*log(4*ab
s(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*
log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m
*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*
sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*flo
or(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2)
- pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4
*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) +
1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2
*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^4 + 320*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c
))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x
- 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*t
an(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*ta
n(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*
d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/
2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5
/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*
c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2
*c)^4 + 508*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)
^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x
- 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^5 - 320*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c
))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x
- 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^6 - 2*m^2*e^(m*log(2) - 2*m*log(4*abs(
e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*lo
g(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*s
gn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sg
n(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor
(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) -
pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*p
i*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/
4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c
) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c) + 14*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*
c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*
x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*
tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*t
an(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2
*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1
/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x -
5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2
*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*
c)^2 + 221*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^
2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x -
1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1
/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/
2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) +
pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^
2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi
- floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2
*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^2 + 32*m^2*e^(m*log(2) - 2*m*l
og(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(
2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1
/2*c)^3 + 608*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*
c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*
x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(ta
n(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan
(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4)
+ pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*
c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/
pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(
1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^3 - 320*e^(m*log(2) - 2*m*log
(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2)
+ 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2
*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/
4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*
m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi +
1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)
- 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/
2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^3 + 210*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*
x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi
- 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^4 - 1760*e^(m*log(2) - 2*m*lo
g(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2
) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/
2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5
/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi
*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi
+ 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)
- 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^4 - 1136*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x
- 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi -
1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^5 + m^2*e^(m*log(2) - 2*m*log(4
*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) +
5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*p
i*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*
pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*
floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) -
1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2)
+ 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e) - 5/4*c)^2 + 16*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi
- 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan
(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/
2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2
*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/
pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*ta
n(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2
*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5
/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c) + 30*m*e^(m*l
og(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs
(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*ta
n(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 -
1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 -
1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/
pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2
*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c) + 23*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1
/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*a
bs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^2 - 58*m*e^(m*l
og(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs
(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*ta
n(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 -
1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 -
1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/
pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2
*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c)^2 - 480*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*
pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(
tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*
x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x
+ 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1
/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/
4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/
4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*flo
or(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)
^2*tan(1/2*d*x + 1/2*c)^2 - 224*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*p
i - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(t
an(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^3 - 1120*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8
*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs
(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d
*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*
x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi +
1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1
/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1
/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*fl
oor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c
)*tan(1/2*d*x + 1/2*c)^3 - 320*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi -
1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(
1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^4 + 2*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*p
i - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(t
an(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x
+ 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x
+ 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/
2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4
*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4
*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floo
r(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)
- 11*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)
) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c
)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x
+ 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x
+ 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*f
loor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*
e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floo
r(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x +
1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2 + 2*m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1
/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/
8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c) - 160*m*e^(m*log(2) - 2*
m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*l
og(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi
+ 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e)
- 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e)
+ pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c
/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi
+ 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2
*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c) - 120*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x
- 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi -
1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2
- 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2
- 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - fl
oor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1
/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4
*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/p
i + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d
*x + 1/2*c) - 221*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x -
1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/
4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^2 - 160*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x -
1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1
/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 -
2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 -
2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floo
r(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2
) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d
*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)*tan(1/2*d*x +
1/2*c)^2 + 320*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*
c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*
x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^3 - m^2*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4
*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d
*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1))) - 22*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/
4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8
*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2
*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*
c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi
- floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a
) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m
- 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*
d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c) + 32*e
^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*lo
g(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)
))*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c
)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)
^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2
*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/
2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*
x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^
2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2 - 30*m*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x -
1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/
4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c) + 400*e^(m*log(2) - 2*m*log(4*abs
(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*l
og(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*pi*m*
sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*s
gn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floo
r(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2)
- pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*
pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1
/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*
c) + e) - 5/4*c)*tan(1/2*d*x + 1/2*c) + 480*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/
(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x -
1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^2 + 11*m*e^(m*log(2) - 2*m*log(4*abs(e)*a
bs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*
abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1))) + 64*e^(m*log(2) - 2*m*log(4
*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) +
5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(-5/8*pi + 1/2*p
i*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*
pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*
floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) -
1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2)
+ 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e) - 5/4*c) + 120*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4
*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d*x - 1/4*c))/(tan(1/8*
pi - 1/4*d*x - 1/4*c)^2 + 1)))*tan(1/2*d*x + 1/2*c) - 32*e^(m*log(2) - 2*m*log(4*abs(e)*abs(tan(1/8*pi - 1/4*d
*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1)) + m*log(abs(a)) - 5*log(2) + 5*log(4*abs(e)*abs(tan(1/8*pi
- 1/4*d*x - 1/4*c))/(tan(1/8*pi - 1/4*d*x - 1/4*c)^2 + 1))))/(d*m^3*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x
+ 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x +
1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2
*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*
sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*
pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor
(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2
*tan(1/2*d*x + 1/2*c)^10 - 12*d*m^2*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/
2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2
*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/
pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*ta
n(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2
*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5
/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^10 + 5*d*m^
3*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)
^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^
2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*
d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2
*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x
/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2
- 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^8 + d*m^3*tan(1/2*d*x + 1/2*c)^10 + 47*d*m*ta
n(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 -
1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 -
1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/
pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x
+ 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2
*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^10 - 60*d*m^2*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/
2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2
*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi
+ 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor
(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a)
+ 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi
*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/
4*c)^2*tan(1/2*d*x + 1/2*c)^8 - 12*d*m^2*tan(1/2*d*x + 1/2*c)^10 - 60*d*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d
*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*
x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi +
1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1
/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1
/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*fl
oor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c
)^2*tan(1/2*d*x + 1/2*c)^10 + 10*d*m^3*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x +
1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2
*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e
*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(
1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2)
- 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^6 + 5*d*
m^3*tan(1/2*d*x + 1/2*c)^8 + 235*d*m*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1
/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/
2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c
/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*t
an(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/
2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) -
5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^8 + 47*d*m
*tan(1/2*d*x + 1/2*c)^10 - 120*d*m^2*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1
/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/
2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c
/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*t
an(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/
2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) -
5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^6 - 60*d*m
^2*tan(1/2*d*x + 1/2*c)^8 - 300*d*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*
c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c
) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi
+ 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(
1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d
*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4
*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^8 - 60*d*tan(
1/2*d*x + 1/2*c)^10 + 10*d*m^3*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi +
1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2
*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/
pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi
*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^4 + 10*d*m^3*tan
(1/2*d*x + 1/2*c)^6 + 470*d*m*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*
d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/p
i + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*
sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^6 + 235*d*m*tan(1
/2*d*x + 1/2*c)^8 - 120*d*m^2*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) +
e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1
/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*
d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/p
i + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*
sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^4 - 120*d*m^2*tan
(1/2*d*x + 1/2*c)^6 - 600*d*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e
)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)
*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2
) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*
x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi
+ 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sg
n(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^6 - 300*d*tan(1/2*d
*x + 1/2*c)^8 + 5*d*m^3*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sg
n(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn
(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) +
1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x +
1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/
2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*
tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^2 + 10*d*m^3*tan(1/2*d*
x + 1/2*c)^4 + 470*d*m*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn
(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(
tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1
/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1
/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2
*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*t
an(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^4 + 470*d*m*tan(1/2*d*x
+ 1/2*c)^6 - 60*d*m^2*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(
tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(t
an(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/
4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/
2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*
c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*ta
n(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^2 - 120*d*m^2*tan(1/2*d*x
+ 1/2*c)^4 - 600*d*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(ta
n(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan
(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4)
+ pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*
c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/
pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(
1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^4 - 600*d*tan(1/2*d*x + 1/2
*c)^6 + d*m^3*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*
d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d
*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*
m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 -
2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - f
loor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*
x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2 + 5*d*m^3*tan(1/2*d*x + 1/2*c)^2 + 235*d*m*tan(-5/8*pi
+ 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e
) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e)
+ pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*
c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/p
i + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/
2*d*x + 1/2*c) + e) - 5/4*c)^2*tan(1/2*d*x + 1/2*c)^2 + 470*d*m*tan(1/2*d*x + 1/2*c)^4 - 12*d*m^2*tan(-5/8*pi
+ 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e)
- 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e)
+ pi*m*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c
/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c)
+ e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi
+ 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2
*d*x + 1/2*c) + e) - 5/4*c)^2 - 60*d*m^2*tan(1/2*d*x + 1/2*c)^2 - 300*d*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d
*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*
x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi +
1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1
/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1
/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*fl
oor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c
)^2*tan(1/2*d*x + 1/2*c)^2 - 600*d*tan(1/2*d*x + 1/2*c)^4 + d*m^3 + 47*d*m*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/
2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2
*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi
+ 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor
(-1/4*sgn(a) + 1/2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a)
+ 1/4*pi*m - 5/4*d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi
*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/
4*c)^2 + 235*d*m*tan(1/2*d*x + 1/2*c)^2 - 12*d*m^2 - 60*d*tan(-5/8*pi + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2
- 2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 -
2*e*tan(1/2*d*x + 1/2*c) + e)*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(e) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi - flo
or(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) + pi*m*floor(1/2*d*x/pi + 1/2*c/pi + 1/2) - pi*m*floor(-1/4*sgn(a) + 1/
2) + 1/2*pi*m*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 1/4*pi*m*sgn(a) + 1/4*pi*m - 5/4*
d*x - 5/2*pi*floor(1/2*d*x/pi + 1/2*c/pi - floor(1/2*d*x/pi + 1/2*c/pi + 1/2) + 1/4) - 5/2*pi*floor(1/2*d*x/pi
+ 1/2*c/pi + 1/2) - 5/4*pi*sgn(e*tan(1/2*d*x + 1/2*c)^2 - 2*e*tan(1/2*d*x + 1/2*c) + e) - 5/4*c)^2 - 300*d*ta
n(1/2*d*x + 1/2*c)^2 + 47*d*m - 60*d)

Mupad [B] (verification not implemented)

Time = 13.56 (sec) , antiderivative size = 601, normalized size of antiderivative = 4.01 \[ \int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx=-\frac {{\left (a+a\,\sin \left (c+d\,x\right )\right )}^m\,\left (-\frac {{\left (e\,\cos \left (c+d\,x\right )\right )}^{5-2\,m}\,\left (m^2-7\,m+12\right )}{d\,\left (m^3-12\,m^2+47\,m-60\right )}+\frac {{\left (e\,\cos \left (c+d\,x\right )\right )}^{5-2\,m}\,\left (\cos \left (c+d\,x\right )+\sin \left (c+d\,x\right )\,1{}\mathrm {i}\right )\,\left (m^2\,3{}\mathrm {i}-m\,29{}\mathrm {i}+60{}\mathrm {i}\right )}{d\,\left (m^3-12\,m^2+47\,m-60\right )}-\frac {{\left (e\,\cos \left (c+d\,x\right )\right )}^{5-2\,m}\,\left (\cos \left (5\,c+5\,d\,x\right )+\sin \left (5\,c+5\,d\,x\right )\,1{}\mathrm {i}\right )\,\left (m^2\,1{}\mathrm {i}-m\,7{}\mathrm {i}+12{}\mathrm {i}\right )}{d\,\left (m^3-12\,m^2+47\,m-60\right )}+\frac {{\left (e\,\cos \left (c+d\,x\right )\right )}^{5-2\,m}\,\left (\cos \left (4\,c+4\,d\,x\right )+\sin \left (4\,c+4\,d\,x\right )\,1{}\mathrm {i}\right )\,\left (3\,m^2-29\,m+60\right )}{d\,\left (m^3-12\,m^2+47\,m-60\right )}+\frac {{\left (e\,\cos \left (c+d\,x\right )\right )}^{5-2\,m}\,\left (\cos \left (2\,c+2\,d\,x\right )+\sin \left (2\,c+2\,d\,x\right )\,1{}\mathrm {i}\right )\,\left (2\,m^2-22\,m+80\right )}{d\,\left (m^3-12\,m^2+47\,m-60\right )}+\frac {{\left (e\,\cos \left (c+d\,x\right )\right )}^{5-2\,m}\,\left (\cos \left (3\,c+3\,d\,x\right )+\sin \left (3\,c+3\,d\,x\right )\,1{}\mathrm {i}\right )\,\left (m^2\,2{}\mathrm {i}-m\,22{}\mathrm {i}+80{}\mathrm {i}\right )}{d\,\left (m^3-12\,m^2+47\,m-60\right )}\right )}{5\,\cos \left (c+d\,x\right )+\sin \left (c+d\,x\right )\,5{}\mathrm {i}-10\,\cos \left (3\,c+3\,d\,x\right )+\cos \left (5\,c+5\,d\,x\right )-\sin \left (3\,c+3\,d\,x\right )\,10{}\mathrm {i}+\sin \left (5\,c+5\,d\,x\right )\,1{}\mathrm {i}+\frac {m^3\,1{}\mathrm {i}-m^2\,12{}\mathrm {i}+m\,47{}\mathrm {i}-60{}\mathrm {i}}{m^3-12\,m^2+47\,m-60}-\frac {10\,\left (\cos \left (2\,c+2\,d\,x\right )+\sin \left (2\,c+2\,d\,x\right )\,1{}\mathrm {i}\right )\,\left (m^3\,1{}\mathrm {i}-m^2\,12{}\mathrm {i}+m\,47{}\mathrm {i}-60{}\mathrm {i}\right )}{m^3-12\,m^2+47\,m-60}+\frac {5\,\left (\cos \left (4\,c+4\,d\,x\right )+\sin \left (4\,c+4\,d\,x\right )\,1{}\mathrm {i}\right )\,\left (m^3\,1{}\mathrm {i}-m^2\,12{}\mathrm {i}+m\,47{}\mathrm {i}-60{}\mathrm {i}\right )}{m^3-12\,m^2+47\,m-60}} \]

[In]

int((e*cos(c + d*x))^(5 - 2*m)*(a + a*sin(c + d*x))^m,x)

[Out]

-((a + a*sin(c + d*x))^m*(((e*cos(c + d*x))^(5 - 2*m)*(cos(c + d*x) + sin(c + d*x)*1i)*(m^2*3i - m*29i + 60i))
/(d*(47*m - 12*m^2 + m^3 - 60)) - ((e*cos(c + d*x))^(5 - 2*m)*(m^2 - 7*m + 12))/(d*(47*m - 12*m^2 + m^3 - 60))
- ((e*cos(c + d*x))^(5 - 2*m)*(cos(5*c + 5*d*x) + sin(5*c + 5*d*x)*1i)*(m^2*1i - m*7i + 12i))/(d*(47*m - 12*m
^2 + m^3 - 60)) + ((e*cos(c + d*x))^(5 - 2*m)*(cos(4*c + 4*d*x) + sin(4*c + 4*d*x)*1i)*(3*m^2 - 29*m + 60))/(d
*(47*m - 12*m^2 + m^3 - 60)) + ((e*cos(c + d*x))^(5 - 2*m)*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i)*(2*m^2 - 2
2*m + 80))/(d*(47*m - 12*m^2 + m^3 - 60)) + ((e*cos(c + d*x))^(5 - 2*m)*(cos(3*c + 3*d*x) + sin(3*c + 3*d*x)*1
i)*(m^2*2i - m*22i + 80i))/(d*(47*m - 12*m^2 + m^3 - 60))))/(5*cos(c + d*x) + sin(c + d*x)*5i - 10*cos(3*c + 3
*d*x) + cos(5*c + 5*d*x) - sin(3*c + 3*d*x)*10i + sin(5*c + 5*d*x)*1i + (m*47i - m^2*12i + m^3*1i - 60i)/(47*m
- 12*m^2 + m^3 - 60) - (10*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i)*(m*47i - m^2*12i + m^3*1i - 60i))/(47*m -
12*m^2 + m^3 - 60) + (5*(cos(4*c + 4*d*x) + sin(4*c + 4*d*x)*1i)*(m*47i - m^2*12i + m^3*1i - 60i))/(47*m - 12
*m^2 + m^3 - 60))