WebSVN – pentevo – /kicad/rev_d/scripts/mfb3.log

[{ir1: (c1*c2*c3*r2*r3*r4*ui*w**3 - I*c1*c3*r2*r3*ui*w**2 - I*c1*c3*r2*r4*ui*w**2 - I*c1*c3*r3*r4*ui*w**2 - c1*r2*ui*w - I*c2*c3*r3*r4*ui*w**2 - c3*r3*ui*w - c3*r4*ui*w + I*ui)/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2),
  ir2: (I*c2*c3*r3*r4*ui*w**2 + c3*r3*ui*w + c3*r4*ui*w - I*ui)/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2)
  ir3: (c3*r4*ui*w - I*ui)/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2)
  ir4: c3*r3*ui*w/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2)
  u1: (-I*c2*c3*r2*r3*r4*ui*w**2 - c3*r2*r3*ui*w - c3*r2*r4*ui*w - c3*r3*r4*ui*w + I*r2*ui)/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2)
  u2: -c3*r3*r4*ui*w/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2)
  u3: 0
  uo: -I*r3*ui/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2)}]

-I*r3/(c1*c2*c3*r1*r2*r3*r4*w**3 - I*c1*c3*r1*r2*r3*w**2 - I*c1*c3*r1*r2*r4*w**2 - I*c1*c3*r1*r3*r4*w**2 - c1*r1*r2*w - I*c2*c3*r1*r3*r4*w**2 - I*c2*c3*r2*r3*r4*w**2 - c3*r1*r3*w - c3*r1*r4*w - c3*r2*r3*w - c3*r2*r4*w - c3*r3*r4*w + I*r1 + I*r2)

numerator = -r3/(r1+r2)
denomiator = (-I*c1*c2*c3*r1*r2*r3*r4*w**3 + r1 + r2 + w**2*(-c1*c3*r1*r2*r3 - c1*c3*r1*r2*r4 - c1*c3*r1*r3*r4 - c2*c3*r1*r3*r4 - c2*c3*r2*r3*r4) + w*(I*c1*r1*r2 + I*c3*r1*r3 + I*c3*r1*r4 + I*c3*r2*r3 + I*c3*r2*r4 + I*c3*r3*r4))/(r1 + r2)
denominator = (1+I*w/w1)(1+I*w/(q*w2)-w**2/w2**2)

w**3: -I*c1*c2*c3*r1*r2*r3*r4/(r1 + r2) 
w**2: -c3*(c1*r1*r2*r3 + c1*r1*r2*r4 + c1*r1*r3*r4 + c2*r1*r3*r4 + c2*r2*r3*r4)/(r1 + r2)
w**1: I*(c1*r1*r2 + c3*r1*r3 + c3*r1*r4 + c3*r2*r3 + c3*r2*r4 + c3*r3*r4)/(r1 + r2)
w**0: 1

w**3: -I/(w1*w2**2)
w**2: -1/w2**2 - 1/(q*w1*w2)
w**1: I/w1 + I/(q*w2)
w**0: 1

w1   - 1st order,
w2,q - 2nd order

1/w1 + 1/(q*w2)       = A = (c1*r1*r2 + c3*r1*r3 + c3*r1*r4 + c3*r2*r3 + c3*r2*r4 + c3*r3*r4)/(r1 + r2)
1/w2**2 + 1/(q*w1*w2) = B = c3*(c1*r1*r2*r3 + c1*r1*r2*r4 + c1*r1*r3*r4 + c2*r1*r3*r4 + c2*r2*r3*r4)/(r1 + r2)
1/(w1*w2**2)          = C = c1*c2*c3*r1*r2*r3*r4/(r1 + r2)

    #beta=1/w1 gamma=1/w2 kappa=1/q

derived equations:
gamma**6 - B*gamma**4 + A*C*gamma**2 - C*C == 0
beta = C*gamma_sol**(-2)
kappa = (A-beta_sol)/gamma

== solution ==

gamma=2**(5/6)*sqrt(3)*sqrt((3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))/(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))/6

beta=3*C*(18*A*B*C - 4*B**3 - 54*C**2 + 6*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3)/(3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))

kappa=2**(1/6)*sqrt(3)*(A*(3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3)) - 3*C*(18*A*B*C - 4*B**3 - 54*C**2 + 6*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))/(sqrt((3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))/(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3)))

w1=(2**(1/3)*A*C - 2**(1/3)*B**2/3 + B*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3)/3 - (18*A*B*C - 4*B**3 - 54*C**2 + 6*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(2/3)/6)/(C*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))

w2=2**(1/6)*sqrt(3)/sqrt((3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))/(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))

q=2**(5/6)*sqrt(3)*sqrt((3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))/(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))/(6*(A*(3*2**(2/3)*A*C - 2**(2/3)*B**2 + (2**(1/3)*B - (9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3))*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3)) - 3*2**(1/3)*C*(9*A*B*C - 2*B**3 - 27*C**2 + 3*sqrt(3)*sqrt(C**2*(4*A**3*C - A**2*B**2 - 18*A*B*C + 4*B**3 + 27*C**2)))**(1/3)))



========================================
=== for r4,c1,c2 knowing r1,r2,r3,c3 ===

D = A*(r1+r2)-c3*r1*r2
E = r1*r2
F = c3*(r1+r2+r3)
G = B*(r1+r2)/c3
H = r1*r2*r3
K = r1*(r2+r3)
L = r3*(r1+r2)
M = C*(r1+r2)/(c3*r1*r2*r3)

(from A,B,C)
c1*E+r4*F = D
c1*H + c1*r4*K + c2*r4*L = G
c1*c2*r4 = M

[{c1: D/E - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))/E, c2: E*M/(D*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)) - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))**2), r4: -(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)}, {c1: D/E - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))/E, c2: E*M/(D*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)) - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))**2), r4: -(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 - sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)}, {c1: D/E - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))/E, c2: E*M/(D*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)) - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))**2), r4: -(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (-1/2 + sqrt(3)*I/2)*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)}]

===
r4=-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)

c1=D/E - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))/E

c2=E*M/(D*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K)) - F*(-(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))/(3*(sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)) - (sqrt(-4*(-3*(D**2*K - 2*D*F*H + E*F*G)/(F**2*K) + (-2*D*K + F*H)**2/(F**2*K**2))**3 + (27*(D**2*H - D*E*G + E**2*L*M)/(F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(F**3*K**2) + 2*(-2*D*K + F*H)**3/(F**3*K**3))**2)/2 + 27*(D**2*H - D*E*G + E**2*L*M)/(2*F**2*K) - 9*(-2*D*K + F*H)*(D**2*K - 2*D*F*H + E*F*G)/(2*F**3*K**2) + (-2*D*K + F*H)**3/(F**3*K**3))**(1/3)/3 - (-2*D*K + F*H)/(3*F*K))**2)
Subversion Repositories pentevo

(root)/kicad/rev_d/scripts/mfb3.log – Rev 1250
