Items tagged with assign assign Tagged Items Feed

I want to compute some matrix multiplications and i need this expression to be 1 always, i.e,

x^2+y^2+z^2+w^2=1

for every calculation I do.

I have tried x^2+y^2+z^2+w^2:=1 and assign(x^2+y^2+z^2+w^2,1) but it doesn't work.

What I should type to make it work?

 

Thank you

 

 

Suppose I have a table of variables

 

f[1]:=a;

f[2]:=b;

 

numelems(f); gives 2.

 

In case I have not assign f, 

unassign(f);
numelems(f); gives error message.

 

Is there any simple way let maple detect that if it is unassined, numelems(f), can provide zero?

 

Thank you very much

 

Dear Maple users

I am unsure how to handle events and their probabilities in Maple. Let's say I know that an event A has the probability say 0.3 and another event B has probability 0.8. I would like to make the following assignments:

P(A):=0.3:

P(B):=0.8

and maybe defining the conditional probability:

P(A|B):=0.55

but I am not allowed to do so in Maple because if will regarded as a function definition. My purpose is to make simple calculations with those probabilities for example:

P(C):=P(A)*P(B)  etc.

My problem is therefore more of a notational problem than a mathematical one. I hope someone can advice me on a proper setup. I am using 2D math notation, by the way. I could of course name the variables containing the probability using simple names like X1, X2, etc., but then I need constantly to remember what they really mean. The above assignments would be much better, because they are easier to handle mentally.

Regards,Erik

Here is my code

ma[1] := [-885.880598855072776, [bh = 0., g0h = 0., g1h = 0.825946224722250e-4]]

ma[2] := [-877.957885609114328, [bh = 347.116836805625, g0h = 0., g1h = 0.164861392564e-3]]

ma[3] := [-863.445203144006655, [bh = 0., g0h = 0., g1h = 0.787090377403668e-4]]

avb := 90.5276611129000; avg0 := 0; avg1 := 0.92225359e-4;

for j from 1 to 3 do

assign(ma[j][2]);

A[j] := [(avb-bh)^2, (avg0-g0h)^2, (avg1-g1h)^2] 

end do;

 

Result is that

A[1] := [4763.19965962732, 0., 1.13103562500664*10^(-10)]

Error, invalid left hand side in assignment

 it only shows A[1], but no A[2] and A[3]

Please help!

But I have not found how to do it.

I'd like to tell a new worksheet to use assignments created in another document. This is to save time retyping equations.

And, is this something that others like to do ?

 

Thanks.

Cheers !

I am trying separation of variables in Maple. I get an equation that has the form   

And now I want to tell Maple to assign the terms with 1/R in them to one variable, say eq21, and the term with 1/Z to second variable, say eq22 The idea is that I can later more easily work with each separate ode. 

I do not know to separate those apart. I could offcourse copy and paste by hand, but I want to automate this.

I tried match() and patmatch() but I am not seeing the way. Here is the code:

restart;
T:=  (r,z)-> Z(z)*R(r);
eq1:= diff(T(r,z),r$2)+1/r*diff(T(r,z),r)+diff(T(r,z),z$2);
eq2:=expand(eq1/(Z(z)*R(r)));

#need now way to break the above into 2 different variables.

ps. I know I can do this:

restart;
T:=  (r,z)-> Z(z)*R(r);
eq1:= diff(T(r,z),r$2)+1/r*diff(T(r,z),r)+diff(T(r,z),z$2);
eq2:=expand(eq1/(Z(z)*R(r)));
eq3:=collect(eq2,1/R(r));
eq21:=op(1,eq3);
eq22:=op(2,eq3);

But this for me is not the right way to do it. I think there should be more algebraic way.

 

Hello People in Mapleprimes,

 

I have a question about the codes in the help page of assign.

Please tell me about this.

The folliowing codes were written there:

code (A)

assign(a,c):

assign(a=d,b=2):

a,b,c;

 

The output of these was 

d,2,d

 

I think that assign(a,c) means assign(a=c) or a:=c, not c:=a.

If what I wrote was true, the output of the above code should be

d,2,c.

And, if I changed assign(a,c) to assign(c,a), the output was d,2,d, which is the output written on the helppage 

of the assign. On the other hand, the output of code A was surely d,2,d.

Why does assign(a,c) have the same meaning as assign(c,a)?

 

Best wishes

 

taro

I have the following situation:

HB:=Bend(L,a,n);

Bend is a proc, that returns a Record with info based on its parameters. I would like to get access to the name I assign to (i.e. HB) in the proc. Any chance?

Mac Dude

PS: I can of course kludge things by adding an argument to the proc Bend. But I'd like to avoid that.

I have written a program and at one point I have an assignment statement like BG(i, j) :=1    When ever I run the program, I get a dialog box which asks me to choose between "function definition" and "remember table assignment."  Is there a way to tell the program that I want this to be a table assignment in the code so that I don't always have to answer the question?

Today I have a problem with assign that never arised before. I solved a system of equations with two solutions and wanted to assign, e.g. the second one. Does anybody know why "assign" here does not work, even though I often used it before in the same way. (I also tried it with the array-solution, but I received the same problem.

Output:

 

  {rH = 0., rL = 0., xH = 0.2289428485, xL = 0.2289428485}, {

    rH = 22.70954353, rL = 32.28670872, xH = 0.4250775404,

    xL = 0.4393791233}
  {rH = 0., rL = 0., xH = 0.2289428485, xL = 0.2289428485}, {

    rH = 22.70954353, rL = 32.28670872, xH = 0.4250775404,

    xL = 0.4393791233}
assign {rH = 22.70954353, rL = 32.28670872, xH = 0.4250775404,

  xL = 0.4393791233}
                         rL, rH, xL, xH


I would be very glad, if anybody could help me.

And here is the whole algorithm:

 

 

 

 

Is it possible in Maple 15 to solve an equation with a parameter for a given set of parameters? How can this be passed to the solve function, should I use some kind of list?  After obtaining the solution how can I assign the solutions to variables such as x1 for the first value of the parameter, x2 for the second value of the parameters and so on. Furthermore, is this possible with the fsolve command?

 

Thanks

Hi,

I was wondering how I could assign small angel assumptions so that I could simplify an equation of motion to solve for theta double dot. Thank you for your help.


Download small_angle_assumption.mw

Equation Manipulation

-assumptions- small angel

"sin(`ϑ`):=`ϑ`"

`ϑ`

(1)

"cos(`ϑ`):=1"

1

(2)

diff(`ϑ`(t), t) := 0

NULL

diff(x(t), t, t) := (H+u)/M


I*(diff(`ϑ`(t), t, t)) = [m*(-l*(diff(`ϑ`(t), t))^2*cos(`ϑ`)-l*(diff(`ϑ`(t), t, t))*sin(diff(`ϑ`(t), t)))-m*g]*l*sin(`ϑ`)+[m*(l*(diff(`ϑ`(t), t))^2*sin(`ϑ`)-l*(diff(`ϑ`(t), t, t))*cos(diff(`ϑ`(t), t))+diff(x(t), t, t))]*l*cos(`ϑ`)

"(->)"

Error, (in isolate) unable to isolate diff(diff(`ϑ`(t), t), t)

 

NULL

``


Download small_angle_assumption.mw

hi all.

I have wrore the following program for optimization with bernstein and block pulse hybrid functions.

the program have some errors which i can't understand.

Bernestien1.mws

restart:

alias(C=binomial):
with(LinearAlgebra):
macro(LA= LinearAlgebra):


HybrFunc:=proc(N, M,  tj)               # N=Number of subintervals,  M=Number of functions in subintervals
 
local B, n, m;

global b;

for n from 1 to N do
for m from 0 to M-1 do

B := (i,m,t) -> C(m,i)*(1-t)^(m-i)*t^i:

b[n,m]:=unapply(piecewise(t>=(n-1)*tj/N and t<n*tj/N, B(m,2,N*t-(n-1)*tj), 0), t):
 od:od:


Array(1..N, 0..M-1, (n,m)->b[n,m](t)):

#convert(%,vector);
end proc:

HybrFunc(3, 3, 1);




                                       # End Of Definition
 
g2(t):=t;            #*exp(t-1):                      # Any other function can be replaced here
    

g1(t):=add(add(c[n,m]*b[n,m](t), m=0..2), n=1..3);
Optimization[Minimize](sqrt(int((g2(t)-g1(t))^2, t=0.. 1)));
assign(op(%[2]));
plot([g2(t),g1(t)], t=0..1, 0..5, color=[blue,red],thickness=[1,3],discont, scaling=constrained);

Array(1 .. 3, 0 .. 2, {(1, 0) = piecewise(0 <= t and t < 1/3, (1-3*t)^2, 0), (1, 1) = piecewise(0 <= t and t < 1/3, (6*(1-3*t))*t, 0), (1, 2) = piecewise(0 <= t and t < 1/3, 9*t^2, 0), (2, 0) = piecewise(1/3 <= t and t < 2/3, (2-3*t)^2, 0), (2, 1) = piecewise(1/3 <= t and t < 2/3, (2*(2-3*t))*(3*t-1), 0), (2, 2) = piecewise(1/3 <= t and t < 2/3, (3*t-1)^2, 0), (3, 0) = piecewise(2/3 <= t and t < 1, (3-3*t)^2, 0), (3, 1) = piecewise(2/3 <= t and t < 1, (2*(3-3*t))*(3*t-2), 0), (3, 2) = piecewise(2/3 <= t and t < 1, (3*t-2)^2, 0)}, datatype = anything, storage = rectangular, order = Fortran_order)

g2(t) := t

"g1(t):=c[1,0] ({[[(1-3 t)^2,0<=t and t<1/3],[0,otherwise]])+c[1,1] ({[[6 (1-3 t) t,0<=t and t<1/3],[0,otherwise]])+c[1,2] ({[[9 t^2,0<=t and t<1/3],[0,otherwise]])+c[2,0] ({[[(2-3 t)^2,1/3<=t and t<2/3],[0,otherwise]])+c[2,1] ({[[2 (2-3 t) (3 t-1),1/3<=t and t<2/3],[0,otherwise]])+c[2,2] ({[[(3 t-1)^2,1/3<=t and t<2/3],[0,otherwise]])+c[3,0] ({[[(3-3 t)^2,2/3<=t and t<1],[0,otherwise]])+c[3,1] ({[[2 (3-3 t) (3 t-2),2/3<=t and t<1],[0,otherwise]])+c[3,2] ({[[(3 t-2)^2,2/3<=t and t<1],[0,otherwise]])"

Error, (in Optimization:-NLPSolve) complex value encountered

Error, invalid left hand side in assignment

(1)



Download Bernestien1.mws

 I'll be so grateful if any one can help me.

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Pleaz i nees help i have probleme withe singularity

restart; with(plots)

Paramétres

 

NULL

``

mb := 5;

5

 

2

 

(1/3)*a*b^3

 

0.4906250000e-1*d

 

.2

 

.4

 

1.2

 

.43

 

9.81

 

1

 

5

 

.5

 

1

(1.1)

``

``

Equation suivant x :

 

``

eq1 := (mp+mb)*(diff(x(t), `$`(t, 2)))+mp*(d+l)*(diff(theta(t), `$`(t, 2)))+mp*l*(diff(alpha(t), `$`(t, 2)))+mp*(d*(diff(theta(t), t))^2*theta(t)+l*(diff(theta(t), t)+diff(alpha(t), t))^2*(alpha(t)+theta(t)))+1000*Am*g*sin(omega*t-k*x(t))*(1+theta(t))*(sinh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))-sinh(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b)))/cosh(k*h) = 0;

7*(diff(diff(x(t), t), t))+1.2*(diff(diff(theta(t), t), t))+.4*(diff(diff(alpha(t), t), t))+.8*(diff(theta(t), t))^2*theta(t)+.4*(diff(theta(t), t)+diff(alpha(t), t))^2*(alpha(t)+theta(t))+11772.000*sin(.43*t-x(t))*(1+theta(t))*(-sinh(-11/2-z(t)+.2500000000*theta(t))-sinh(11/2+z(t)+.2500000000*theta(t)))/cosh(5) = 0

(2.1)

``

Equation suivant z :

 

``

eq2 := (mp+mb)*(diff(z(t), `$`(t, 2)))-mp*(l*(alpha(t)+theta(t))+d*theta(t))*(diff(theta(t), `$`(t, 2)))-mp*l*(alpha(t)+theta(t))*(diff(alpha(t), `$`(t, 2)))+mp*(d*(diff(theta(t), t))^2+l*(diff(theta(t), t)+diff(alpha(t), t))^2)-g*(mp+mb)+1000*g*a*z(t)+1000*g*a*b*(1/2)+1000*Am*g*sin(omega*t-k*x(t))*(1-theta(t))*(sinh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))-sin(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b)))/cosh(k*h) = 0;

7*(diff(diff(z(t), t), t))-2*(.2*alpha(t)+.6*theta(t))*(diff(diff(theta(t), t), t))-.4*(alpha(t)+theta(t))*(diff(diff(alpha(t), t), t))+.8*(diff(theta(t), t))^2+.4*(diff(theta(t), t)+diff(alpha(t), t))^2+2383.830+4905.000*z(t)+11772.000*sin(.43*t-x(t))*(1-theta(t))*(-sinh(-11/2-z(t)+.2500000000*theta(t))-sin(11/2+z(t)+.2500000000*theta(t)))/cosh(5) = 0

(3.1)

``

Equation suivant y :

 

``

eq3 := mp*(d+l)*(diff(x(t), `$`(t, 2)))-mp*(l*(alpha(t)+theta(t))+d*theta(t))*(diff(z(t), `$`(t, 2)))+(Ip+Ib+mp*(d^2+l^2)+2*mp*d*l)*(diff(theta(t), `$`(t, 2)))+(Ip+mp*l^2+mp*d*l*cos(alpha(t)))*(diff(alpha(t), `$`(t, 2)))-mp*alpha(t)*(l*d*(diff(theta(t), t))^2-l*d*(diff(theta(t), t)+diff(alpha(t), t))^2)+mp*g*l*(alpha(t)+theta(t))+mp*g*d*theta(t)+1000*g*a*theta(t)*z(t)^2+1000*g*a*b*theta(t)*z(t)+1000*g*a(theta(t))^9*(1/12)+(1000*g*a*b^2*(1/4))*theta(t)-1000*Am*g*sin(omega*t-k*x(t))*((z(t)-(1/2)*a*theta(t)+(1/2)*b)*sinh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))/k-cosh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))/k^2)/cosh(k*h)+1000*Am*g*sin(omega*t-k*x(t))*((z(t)+(1/2)*a*theta(t)+(1/2)*b)*sinh(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b))/k-cosh(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b))/k^2)/cosh(k*h)-(1000*g*z(t)*(1/2)+1000*g*b*(1/4))*(2*a*x(t)+a*b*theta(t))+1000*g*a*theta(t)*z(t)^2+1000*g*a*b*theta(t)^2*z(t)+(1000*g*a^3*(1/12))*theta(t)+(1000*g*a*b^2*(1/4))*theta(t)^3+(k*theta(t)*(x(t)-(1/2)*a+(1/2)*b*theta(t))*sinh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)-(1/2)*a+(1/2)*b*theta(t))))-k*theta(t)*(x(t)+(1/2)*a+(1/2)*b*theta(t))*sinh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)+(1/2)*a+(1/2)*b*theta(t))))-cosh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)+(1/2)*a+(1/2)*b*theta(t))))+cosh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)-(1/2)*a+(1/2)*b*theta(t)))))/k^2 = 0;

1.2*(diff(diff(x(t), t), t))-2*(.2*alpha(t)+.6*theta(t))*(diff(diff(z(t), t), t))+.9062916667*(diff(diff(theta(t), t), t))+(0.9962500000e-1+.16*cos(alpha(t)))*(diff(diff(alpha(t), t), t))-2*alpha(t)*(0.8e-1*(diff(theta(t), t))^2-0.8e-1*(diff(theta(t), t)+diff(alpha(t), t))^2)+3.924*alpha(t)+1340.209500*theta(t)+9810.000*theta(t)*z(t)^2+4905.000*theta(t)*z(t)+1.596679687-11772.000*sin(.43*t-x(t))*(-(z(t)-.2500000000*theta(t)+1/2)*sinh(-11/2-z(t)+.2500000000*theta(t))-cosh(-11/2-z(t)+.2500000000*theta(t)))/cosh(5)+11772.000*sin(.43*t-x(t))*((z(t)+.2500000000*theta(t)+1/2)*sinh(11/2+z(t)+.2500000000*theta(t))-cosh(11/2+z(t)+.2500000000*theta(t)))/cosh(5)-(4905.00*z(t)+2452.50)*(1.0*x(t)+.5*theta(t))+4905.000*theta(t)^2*z(t)+1226.250*theta(t)^3-theta(t)*(x(t)-.2500000000+(1/2)*theta(t))*sinh(-11/2-z(t)+theta(t)*(x(t)-.2500000000+(1/2)*theta(t)))+theta(t)*(x(t)+.2500000000+(1/2)*theta(t))*sinh(-11/2-z(t)+theta(t)*(x(t)+.2500000000+(1/2)*theta(t)))-cosh(-11/2-z(t)+theta(t)*(x(t)+.2500000000+(1/2)*theta(t)))+cosh(-11/2-z(t)+theta(t)*(x(t)-.2500000000+(1/2)*theta(t))) = 0

(4.1)

NULL

``

Equation suivant y

 

``

eq4 := mp*l*(diff(x(t), `$`(t, 2)))-mp*l*(alpha(t)+theta(t))*(diff(z(t), `$`(t, 2)))+(d*l*mp+l^2*mp+Ip)*(diff(theta(t), `$`(t, 2)))+(l^2*mp+Ip)*(diff(alpha(t), `$`(t, 2)))-9.81*mp*l*(alpha(t)+theta(t))-l*d*mp*(diff(theta(t), `$`(t, 1)))^2*alpha(t) = 0;

.4*(diff(diff(x(t), t), t))-.4*(alpha(t)+theta(t))*(diff(diff(z(t), t), t))+.2596250000*(diff(diff(theta(t), t), t))+0.9962500000e-1*(diff(diff(alpha(t), t), t))-3.924*alpha(t)-3.924*theta(t)-.16*(diff(theta(t), t))^2*alpha(t) = 0

(5.1)

``

Résolution :

 

NULL

CI:= x(0)=0,z(0)=0,theta(0)=0,alpha(0)=0,D(x)(0)=0,D(alpha)(0)=0,D(z)(0)=0,D(theta)(0)=0;

x(0) = 0, z(0) = 0, theta(0) = 0, alpha(0) = 0, (D(x))(0) = 0, (D(alpha))(0) = 0, (D(z))(0) = 0, (D(theta))(0) = 0

(6.1)

if theta(t) <> 0 then
 solution:=dsolve([eq1,eq2,eq3,eq4,CI],numeric,maxfun=0):
 odeplot(solution, [[t, x(t)]], t = 0 .. 100, thickness = 2);
 odeplot(solution, [[t, z(t)]], t = 0 .. 100, thickness = 2);
 odeplot(solution, [[t, theta(t)]], t = 0 .. 100, thickness = 2);
 odeplot(solution, [[t, alpha(t)]], t = 0 .. 100, thickness = 2);
 #odeplot(solution,[[t,x(t)],[t,alpha(t)],[t,z(t)],[t,theta(t)]], t=0..100, thickness=2);
 end ;

proc (x_rkf45) local _res, _dat, _vars, _solnproc, _xout, _ndsol, _pars, _n, _i; option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; if 1 < nargs then error "invalid input: too many arguments" end if; _EnvDSNumericSaveDigits := Digits; Digits := 15; if _EnvInFsolve = true then _xout := evalf[_EnvDSNumericSaveDigits](x_rkf45) else _xout := evalf(x_rkf45) end if; _dat := Array(1..4, {(1) = proc (_xin) local _xout, _dtbl, _dat, _vmap, _x0, _y0, _val, _dig, _n, _ne, _nd, _nv, _pars, _ini, _par, _i, _j, _k, _src; option `Copyright (c) 2002 by Waterloo Maple Inc. All rights reserved.`; table( [( "complex" ) = false ] ) _xout := _xin; _pars := []; _dtbl := array( 1 .. 4, [( 1 ) = (array( 1 .. 20, [( 1 ) = (datatype = float[8], order = C_order, storage = rectangular), ( 2 ) = (datatype = float[8], order = C_order, storage = rectangular), ( 3 ) = ([0, 0, 0, Array(1..0, 1..2, {}, datatype = float[8], order = C_order)]), ( 5 ) = (Array(1..28, {(1) = .0, (2) = 0.10e-5, (3) = .0, (4) = 0.500001e-14, (5) = .0, (6) = 0.14822202628077855e-4, (7) = .0, (8) = 0.10e-5, (9) = .0, (10) = .0, (11) = .0, (12) = .0, (13) = 1.0, (14) = .0, (15) = .49999999999999, (16) = .0, (17) = 1.0, (18) = 1.0, (19) = .0, (20) = .0, (21) = 1.0, (22) = 1.0, (23) = .0, (24) = .0, (25) = 0.10e-14, (26) = .0, (27) = .0, (28) = .0}, datatype = float[8], order = C_order)), ( 4 ) = (Array(1..53, {(1) = 8, (2) = 8, (3) = 0, (4) = 0, (5) = 0, (6) = 0, (7) = 1, (8) = 0, (9) = 0, (10) = 0, (11) = 0, (12) = 0, (13) = 0, (14) = 0, (15) = 0, (16) = 0, (17) = 0, (18) = 1, (19) = 0, (20) = 0, (21) = 0, (22) = 1, (23) = 4, (24) = 0, (25) = 1, (26) = 15, (27) = 1, (28) = 0, (29) = 1, (30) = 3, (31) = 3, (32) = 0, (33) = 1, (34) = 0, (35) = 0, (36) = 0, (37) = 0, (38) = 0, (39) = 0, (40) = 0, (41) = 0, (42) = 0, (43) = 1, (44) = 0, (45) = 0, (46) = 0, (47) = 0, (48) = 0, (49) = 0, (50) = 50, (51) = 1, (52) = 0, (53) = 0}, datatype = integer[4])), ( 7 ) = ([Array(1..4, 1..7, {(1, 1) = .0, (1, 2) = .203125, (1, 3) = .3046875, (1, 4) = .75, (1, 5) = .8125, (1, 6) = .40625, (1, 7) = .8125, (2, 1) = 0.6378173828125e-1, (2, 2) = .0, (2, 3) = .279296875, (2, 4) = .27237892150878906, (2, 5) = -0.9686851501464844e-1, (2, 6) = 0.1956939697265625e-1, (2, 7) = .5381584167480469, (3, 1) = 0.31890869140625e-1, (3, 2) = .0, (3, 3) = -.34375, (3, 4) = -.335235595703125, (3, 5) = .2296142578125, (3, 6) = .41748046875, (3, 7) = 11.480712890625, (4, 1) = 0.9710520505905151e-1, (4, 2) = .0, (4, 3) = .40350341796875, (4, 4) = 0.20297467708587646e-1, (4, 5) = -0.6054282188415527e-2, (4, 6) = -0.4770040512084961e-1, (4, 7) = .77858567237854}, datatype = float[8], order = C_order), Array(1..6, 1..6, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = 1.0, (2, 1) = .25, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = 1.0, (3, 1) = .1875, (3, 2) = .5625, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = 2.0, (4, 1) = .23583984375, (4, 2) = -.87890625, (4, 3) = .890625, (4, 4) = .0, (4, 5) = .0, (4, 6) = .2681884765625, (5, 1) = .1272735595703125, (5, 2) = -.5009765625, (5, 3) = .44921875, (5, 4) = -0.128936767578125e-1, (5, 5) = .0, (5, 6) = 0.626220703125e-1, (6, 1) = -0.927734375e-1, (6, 2) = .626220703125, (6, 3) = -.4326171875, (6, 4) = .1418304443359375, (6, 5) = -0.861053466796875e-1, (6, 6) = .3131103515625}, datatype = float[8], order = C_order), Array(1..6, {(1) = .0, (2) = .386, (3) = .21, (4) = .63, (5) = 1.0, (6) = 1.0}, datatype = float[8], order = C_order), Array(1..6, {(1) = .25, (2) = -.1043, (3) = .1035, (4) = -0.362e-1, (5) = .0, (6) = .0}, datatype = float[8], order = C_order), Array(1..6, 1..5, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (2, 1) = 1.544, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (3, 1) = .9466785280815533, (3, 2) = .25570116989825814, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (4, 1) = 3.3148251870684886, (4, 2) = 2.896124015972123, (4, 3) = .9986419139977808, (4, 4) = .0, (4, 5) = .0, (5, 1) = 1.2212245092262748, (5, 2) = 6.019134481287752, (5, 3) = 12.537083329320874, (5, 4) = -.687886036105895, (5, 5) = .0, (6, 1) = 1.2212245092262748, (6, 2) = 6.019134481287752, (6, 3) = 12.537083329320874, (6, 4) = -.687886036105895, (6, 5) = 1.0}, datatype = float[8], order = C_order), Array(1..6, 1..5, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (2, 1) = -5.6688, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (3, 1) = -2.4300933568337584, (3, 2) = -.20635991570891224, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (4, 1) = -.10735290581452621, (4, 2) = -9.594562251021896, (4, 3) = -20.470286148096154, (4, 4) = .0, (4, 5) = .0, (5, 1) = 7.496443313968615, (5, 2) = -10.246804314641219, (5, 3) = -33.99990352819906, (5, 4) = 11.708908932061595, (5, 5) = .0, (6, 1) = 8.083246795922411, (6, 2) = -7.981132988062785, (6, 3) = -31.52159432874373, (6, 4) = 16.319305431231363, (6, 5) = -6.0588182388340535}, datatype = float[8], order = C_order), Array(1..3, 1..5, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (2, 1) = 10.126235083446911, (2, 2) = -7.487995877607633, (2, 3) = -34.800918615557414, (2, 4) = -7.9927717075687275, (2, 5) = 1.0251377232956207, (3, 1) = -.6762803392806898, (3, 2) = 6.087714651678606, (3, 3) = 16.43084320892463, (3, 4) = 24.767225114183653, (3, 5) = -6.5943891257167815}, datatype = float[8], order = C_order)]), ( 6 ) = (Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order)), ( 10 ) = ([proc (N, X, Y, YP) option `[Y[1] = alpha(t), Y[2] = diff(alpha(t),t), Y[3] = theta(t), Y[4] = diff(theta(t),t), Y[5] = x(t), Y[6] = diff(x(t),t), Y[7] = z(t), Y[8] = diff(z(t),t)]`; YP[2] := -(-14.947516474811375000+9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-12681.242976943909200*Y[3]-171.4392330064092*Y[1]-11479.6926562500000*Y[3]^3+9.3616250000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-9.3616250000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-56.5942610739837*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-4.9040416669*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])-.285413333408*Y[4]^2*Y[3]-.142706666704*(Y[4]+Y[2])^2*(Y[1]+Y[3])+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-1485.04414422534*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+1485.04414422534*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))-5.492526666928*Y[4]^2*Y[1]-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+18.7232500000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-91837.5412500000000*Y[3]*Y[7]^2-45918.7706250000000*Y[3]*Y[7]+9.3616250000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-45918.7706250000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[4] := (-6.0061102276113750000+3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-5028.1809204375000000*Y[3]-1.57597650000000*Y[1]-4612.69265625000000*Y[3]^3+3.76162500000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-3.76162500000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-7*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+132.750371019452*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+.48*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+7*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-2.8*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+49*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+.53737500000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.6694800000000*Y[4]^2*Y[3]+.3347400000000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-596.710419293836*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+596.710419293836*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.5376*Y[4]^2*Y[1]+7.52325000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-36901.54125000000000*Y[3]*Y[7]^2-18450.77062500000000*Y[3]*Y[7]+3.76162500000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-18450.77062500000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[6] := -(-.1754750976013000000+.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-137.33141624963376000*Y[3]+9.526360200366240*Y[1]-134.764875000000000*Y[3]^3+.109900000000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-.109900000000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.4*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.2*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+100.258795838552*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.2596250000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+.36251666668*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.2*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.8173750000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+8.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-.9062916667*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+0.15700000000e-1*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.50562012085193000000*Y[4]^2*Y[3]+.25281006042596500000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-0.9962500000e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-17.4335493517808*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+17.4335493517808*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.4060186666816*Y[4]^2*Y[1]+.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+.219800000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-1078.119000000000000*Y[3]*Y[7]^2-539.059500000000000*Y[3]*Y[7]+.109900000000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-539.059500000000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[8] := -(-.53737500000*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-.48*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])+1.3373750000*(-.4*Y[1]-.4*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-4.9040416669*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])+.119550000000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))-.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+74.2676316024185*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3]))+1116.0579164503566049-1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+0.5096666668e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])+2296.4154659472358125*Y[7]+.37454278751433000000*Y[4]^2+.18727139375716500000*(Y[4]+Y[2])^2)/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[1] := Y[2]; YP[3] := Y[4]; YP[5] := Y[6]; YP[7] := Y[8]; 0 end proc, -1, 0, 0, 0, 0, 0, 0]), ( 11 ) = (Array(1..6, 0..8, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (1, 8) = .0, (2, 0) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (2, 8) = .0, (3, 0) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (3, 8) = .0, (4, 0) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (4, 8) = .0, (5, 0) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (5, 8) = .0, (6, 0) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (6, 8) = .0}, datatype = float[8], order = C_order)), ( 8 ) = ([Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = 17.65307013401197, (3) = .0, (4) = -7.093237546136753, (5) = .0, (6) = .20723671453704962, (7) = .0, (8) = -340.5471428571427}, datatype = float[8], order = C_order)]), ( 9 ) = ([Array(1..8, {(1) = .1, (2) = .1, (3) = .1, (4) = .1, (5) = .1, (6) = .1, (7) = .1, (8) = .1}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, 1..8, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (1, 8) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (2, 8) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (3, 8) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (4, 8) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (5, 8) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (6, 8) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (7, 7) = .0, (7, 8) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0, (8, 7) = .0, (8, 8) = .0}, datatype = float[8], order = C_order), Array(1..8, 1..8, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (1, 8) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (2, 8) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (3, 8) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (4, 8) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (5, 8) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (6, 8) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (7, 7) = .0, (7, 8) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0, (8, 7) = .0, (8, 8) = .0}, datatype = float[8], order = C_order), Array(1..8, 1..6, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = 0, (2) = 0, (3) = 0, (4) = 0, (5) = 0, (6) = 0, (7) = 0, (8) = 0}, datatype = integer[4]), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order)]), ( 15 ) = ("rkf45"), ( 14 ) = ([0, 0]), ( 13 ) = (), ( 12 ) = (), ( 20 ) = ([]), ( 16 ) = ([0, 0, 0, []]), ( 17 ) = ([proc (N, X, Y, YP) option `[Y[1] = alpha(t), Y[2] = diff(alpha(t),t), Y[3] = theta(t), Y[4] = diff(theta(t),t), Y[5] = x(t), Y[6] = diff(x(t),t), Y[7] = z(t), Y[8] = diff(z(t),t)]`; YP[2] := -(-14.947516474811375000+9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-12681.242976943909200*Y[3]-171.4392330064092*Y[1]-11479.6926562500000*Y[3]^3+9.3616250000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-9.3616250000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-56.5942610739837*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-4.9040416669*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])-.285413333408*Y[4]^2*Y[3]-.142706666704*(Y[4]+Y[2])^2*(Y[1]+Y[3])+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-1485.04414422534*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+1485.04414422534*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))-5.492526666928*Y[4]^2*Y[1]-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+18.7232500000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-91837.5412500000000*Y[3]*Y[7]^2-45918.7706250000000*Y[3]*Y[7]+9.3616250000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-45918.7706250000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[4] := (-6.0061102276113750000+3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-5028.1809204375000000*Y[3]-1.57597650000000*Y[1]-4612.69265625000000*Y[3]^3+3.76162500000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-3.76162500000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-7*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+132.750371019452*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+.48*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+7*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-2.8*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+49*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+.53737500000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.6694800000000*Y[4]^2*Y[3]+.3347400000000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-596.710419293836*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+596.710419293836*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.5376*Y[4]^2*Y[1]+7.52325000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-36901.54125000000000*Y[3]*Y[7]^2-18450.77062500000000*Y[3]*Y[7]+3.76162500000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-18450.77062500000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[6] := -(-.1754750976013000000+.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-137.33141624963376000*Y[3]+9.526360200366240*Y[1]-134.764875000000000*Y[3]^3+.109900000000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-.109900000000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.4*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.2*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+100.258795838552*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.2596250000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+.36251666668*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.2*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.8173750000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+8.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-.9062916667*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+0.15700000000e-1*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.50562012085193000000*Y[4]^2*Y[3]+.25281006042596500000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-0.9962500000e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-17.4335493517808*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+17.4335493517808*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.4060186666816*Y[4]^2*Y[1]+.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+.219800000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-1078.119000000000000*Y[3]*Y[7]^2-539.059500000000000*Y[3]*Y[7]+.109900000000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-539.059500000000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[8] := -(-.53737500000*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-.48*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])+1.3373750000*(-.4*Y[1]-.4*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-4.9040416669*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])+.119550000000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))-.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+74.2676316024185*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3]))+1116.0579164503566049-1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+0.5096666668e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])+2296.4154659472358125*Y[7]+.37454278751433000000*Y[4]^2+.18727139375716500000*(Y[4]+Y[2])^2)/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[1] := Y[2]; YP[3] := Y[4]; YP[5] := Y[6]; YP[7] := Y[8]; 0 end proc, -1, 0, 0, 0, 0, 0, 0]), ( 18 ) = ([]), ( 19 ) = (0)  ] ))  ] ); _y0 := Array(0..8, {(1) = 0., (2) = 0., (3) = 0., (4) = 0., (5) = 0., (6) = 0., (7) = 0., (8) = 0.}); _vmap := array( 1 .. 8, [( 1 ) = (1), ( 2 ) = (2), ( 3 ) = (3), ( 5 ) = (5), ( 4 ) = (4), ( 7 ) = (7), ( 6 ) = (6), ( 8 ) = (8)  ] ); _x0 := _dtbl[1][5][5]; _n := _dtbl[1][4][1]; _ne := _dtbl[1][4][3]; _nd := _dtbl[1][4][4]; _nv := _dtbl[1][4][16]; if not type(_xout, 'numeric') then if member(_xout, ["start", "left", "right"]) then if _Env_smart_dsolve_numeric = true or _dtbl[1][4][10] = 1 then if _xout = "left" then if type(_dtbl[2], 'table') then return _dtbl[2][5][1] end if elif _xout = "right" then if type(_dtbl[3], 'table') then return _dtbl[3][5][1] end if end if end if; return _dtbl[1][5][5] elif _xout = "method" then return _dtbl[1][15] elif _xout = "storage" then return evalb(_dtbl[1][4][10] = 1) elif _xout = "leftdata" then if not type(_dtbl[2], 'array') then return NULL else return eval(_dtbl[2]) end if elif _xout = "rightdata" then if not type(_dtbl[3], 'array') then return NULL else return eval(_dtbl[3]) end if elif _xout = "enginedata" then return eval(_dtbl[1]) elif _xout = "enginereset" then _dtbl[2] := evaln(_dtbl[2]); _dtbl[3] := evaln(_dtbl[3]); return NULL elif _xout = "initial" then return procname(_y0[0]) elif _xout = "laxtol" then return _dtbl[`if`(member(_dtbl[4], {2, 3}), _dtbl[4], 1)][5][18] elif _xout = "numfun" then return `if`(member(_dtbl[4], {2, 3}), _dtbl[_dtbl[4]][4][18], 0) elif _xout = "parameters" then return [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] elif _xout = "initial_and_parameters" then return procname(_y0[0]), [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] elif _xout = "last" then if _dtbl[4] <> 2 and _dtbl[4] <> 3 or _x0-_dtbl[_dtbl[4]][5][1] = 0. then error "no information is available on last computed point" else _xout := _dtbl[_dtbl[4]][5][1] end if elif _xout = "function" then if _dtbl[1][4][33]-2. = 0 then return eval(_dtbl[1][10], 1) else return eval(_dtbl[1][10][1], 1) end if elif _xout = "map" then return copy(_vmap) elif type(_xin, `=`) and type(rhs(_xin), 'list') and member(lhs(_xin), {"initial", "parameters", "initial_and_parameters"}) then _ini, _par := [], []; if lhs(_xin) = "initial" then _ini := rhs(_xin) elif lhs(_xin) = "parameters" then _par := rhs(_xin) elif select(type, rhs(_xin), `=`) <> [] then _par, _ini := selectremove(type, rhs(_xin), `=`) elif nops(rhs(_xin)) < nops(_pars)+1 then error "insufficient data for specification of initial and parameters" else _par := rhs(_xin)[-nops(_pars) .. -1]; _ini := rhs(_xin)[1 .. -nops(_pars)-1] end if; _xout := lhs(_xout); if _par <> [] then `dsolve/numeric/process_parameters`(_n, _pars, _par, _y0) end if; if _ini <> [] then `dsolve/numeric/process_initial`(_n-_ne, _ini, _y0, _pars, _vmap) end if; `dsolve/numeric/SC/reinitialize`(_dtbl, _y0, _n, procname, _pars); if _Env_smart_dsolve_numeric = true and type(_y0[0], 'numeric') and _dtbl[1][4][10] <> 1 then procname("right") := _y0[0]; procname("left") := _y0[0] end if; if _xout = "initial" then return [_y0[0], seq(_y0[_vmap[_i]], _i = 1 .. _n-_ne)] elif _xout = "parameters" then return [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] else return [_y0[0], seq(_y0[_vmap[_i]], _i = 1 .. _n-_ne)], [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] end if elif _xin = "eventstop" then if _nv = 0 then error "this solution has no events" end if; _i := _dtbl[4]; if _i <> 2 and _i <> 3 then return 0 end if; if _dtbl[_i][4][10] = 1 and assigned(_dtbl[5-_i]) and _dtbl[_i][4][9] < 10 and 10 <= _dtbl[5-_i][4][9] then _i := 5-_i; _dtbl[4] := _i; _j := round(_dtbl[_i][4][17]); return round(_dtbl[_i][3][1][_j, 1]) elif 10 <= _dtbl[_i][4][9] then _j := round(_dtbl[_i][4][17]); return round(_dtbl[_i][3][1][_j, 1]) else return 0 end if elif _xin = "eventstatus" then if _nv = 0 then error "this solution has no events" end if; _i := [selectremove(proc (a) options operator, arrow; _dtbl[1][3][1][a, 7] = 1 end proc, {seq(_j, _j = 1 .. round(_dtbl[1][3][1][_nv+1, 1]))})]; return ':-enabled' = _i[1], ':-disabled' = _i[2] elif _xin = "eventclear" then if _nv = 0 then error "this solution has no events" end if; _i := _dtbl[4]; if _i <> 2 and _i <> 3 then error "no events to clear" end if; if _dtbl[_i][4][10] = 1 and assigned(_dtbl[5-_i]) and _dtbl[_i][4][9] < 10 and 10 < _dtbl[5-_i][4][9] then _dtbl[4] := 5-_i; _i := 5-_i end if; if _dtbl[_i][4][9] < 10 then error "no events to clear" elif _nv < _dtbl[_i][4][9]-10 then error "event error condition cannot be cleared" else _j := _dtbl[_i][4][9]-10; if irem(round(_dtbl[_i][3][1][_j, 4]), 2) = 1 then error "retriggerable events cannot be cleared" end if; _j := round(_dtbl[_i][3][1][_j, 1]); for _k to _nv do if _dtbl[_i][3][1][_k, 1] = _j then if _dtbl[_i][3][1][_k, 2] = 3 then error "range events cannot be cleared" end if; _dtbl[_i][3][1][_k, 8] := _dtbl[_i][3][1][_nv+1, 8] end if end do; _dtbl[_i][4][17] := 0; _dtbl[_i][4][9] := 0; if _dtbl[1][4][10] = 1 then if _i = 2 then try procname(procname("left")) catch:  end try else try procname(procname("right")) catch:  end try end if end if end if; return  elif type(_xin, `=`) and member(lhs(_xin), {"eventdisable", "eventenable"}) then if _nv = 0 then error "this solution has no events" end if; if type(rhs(_xin), {('list')('posint'), ('set')('posint')}) then _i := {op(rhs(_xin))} elif type(rhs(_xin), 'posint') then _i := {rhs(_xin)} else error "event identifiers must be integers in the range 1..%1", round(_dtbl[1][3][1][_nv+1, 1]) end if; if select(proc (a) options operator, arrow; _nv < a end proc, _i) <> {} then error "event identifiers must be integers in the range 1..%1", round(_dtbl[1][3][1][_nv+1, 1]) end if; _k := {}; for _j to _nv do if member(round(_dtbl[1][3][1][_j, 1]), _i) then _k := `union`(_k, {_j}) end if end do; _i := _k; if lhs(_xin) = "eventdisable" then _dtbl[4] := 0; _j := [evalb(assigned(_dtbl[2]) and member(_dtbl[2][4][17], _i)), evalb(assigned(_dtbl[3]) and member(_dtbl[3][4][17], _i))]; for _k in _i do _dtbl[1][3][1][_k, 7] := 0; if assigned(_dtbl[2]) then _dtbl[2][3][1][_k, 7] := 0 end if; if assigned(_dtbl[3]) then _dtbl[3][3][1][_k, 7] := 0 end if end do; if _j[1] then for _k to _nv+1 do if _k <= _nv and not type(_dtbl[2][3][4][_k, 1], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to defined init `, _dtbl[2][3][4][_k, 1]); _dtbl[2][3][1][_k, 8] := _dtbl[2][3][4][_k, 1] elif _dtbl[2][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[2][3][1][_k, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to rate hysteresis init `, _dtbl[2][5][24]); _dtbl[2][3][1][_k, 8] := _dtbl[2][5][24] elif _dtbl[2][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[2][3][1][_k, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to initial init `, _x0); _dtbl[2][3][1][_k, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to fireinitial init `, _x0-1); _dtbl[2][3][1][_k, 8] := _x0-1 end if end do; _dtbl[2][4][17] := 0; _dtbl[2][4][9] := 0; if _dtbl[1][4][10] = 1 then procname(procname("left")) end if end if; if _j[2] then for _k to _nv+1 do if _k <= _nv and not type(_dtbl[3][3][4][_k, 2], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to defined init `, _dtbl[3][3][4][_k, 2]); _dtbl[3][3][1][_k, 8] := _dtbl[3][3][4][_k, 2] elif _dtbl[3][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[3][3][1][_k, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to rate hysteresis init `, _dtbl[3][5][24]); _dtbl[3][3][1][_k, 8] := _dtbl[3][5][24] elif _dtbl[3][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[3][3][1][_k, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to initial init `, _x0); _dtbl[3][3][1][_k, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to fireinitial init `, _x0+1); _dtbl[3][3][1][_k, 8] := _x0+1 end if end do; _dtbl[3][4][17] := 0; _dtbl[3][4][9] := 0; if _dtbl[1][4][10] = 1 then procname(procname("right")) end if end if else for _k in _i do _dtbl[1][3][1][_k, 7] := 1 end do; _dtbl[2] := evaln(_dtbl[2]); _dtbl[3] := evaln(_dtbl[3]); _dtbl[4] := 0; if _dtbl[1][4][10] = 1 then if _x0 <= procname("right") then try procname(procname("right")) catch:  end try end if; if procname("left") <= _x0 then try procname(procname("left")) catch:  end try end if end if end if; return  elif type(_xin, `=`) and lhs(_xin) = "eventfired" then if not type(rhs(_xin), 'list') then error "'eventfired' must be specified as a list" end if; if _nv = 0 then error "this solution has no events" end if; if _dtbl[4] <> 2 and _dtbl[4] <> 3 then error "'direction' must be set prior to calling/setting 'eventfired'" end if; _i := _dtbl[4]; _val := NULL; if not assigned(_EnvEventRetriggerWarned) then _EnvEventRetriggerWarned := false end if; for _k in rhs(_xin) do if type(_k, 'integer') then _src := _k elif type(_k, 'integer' = 'anything') and type(evalf(rhs(_k)), 'numeric') then _k := lhs(_k) = evalf[max(Digits, 18)](rhs(_k)); _src := lhs(_k) else error "'eventfired' entry is not valid: %1", _k end if; if _src < 1 or round(_dtbl[1][3][1][_nv+1, 1]) < _src then error "event identifiers must be integers in the range 1..%1", round(_dtbl[1][3][1][_nv+1, 1]) end if; _src := {seq(`if`(_dtbl[1][3][1][_j, 1]-_src = 0., _j, NULL), _j = 1 .. _nv)}; if nops(_src) <> 1 then error "'eventfired' can only be set/queried for root-finding events and time/interval events" end if; _src := _src[1]; if _dtbl[1][3][1][_src, 2] <> 0. and _dtbl[1][3][1][_src, 2]-2. <> 0. then error "'eventfired' can only be set/queried for root-finding events and time/interval events" elif irem(round(_dtbl[1][3][1][_src, 4]), 2) = 1 then if _EnvEventRetriggerWarned = false then WARNING(`'eventfired' has no effect on events that retrigger`) end if; _EnvEventRetriggerWarned := true end if; if _dtbl[_i][3][1][_src, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_src, 4]), 32), 2) = 1 then _val := _val, undefined elif type(_dtbl[_i][3][4][_src, _i-1], 'undefined') or _i = 2 and _dtbl[2][3][1][_src, 8] < _dtbl[2][3][4][_src, 1] or _i = 3 and _dtbl[3][3][4][_src, 2] < _dtbl[3][3][1][_src, 8] then _val := _val, _dtbl[_i][3][1][_src, 8] else _val := _val, _dtbl[_i][3][4][_src, _i-1] end if; if type(_k, `=`) then if _dtbl[_i][3][1][_src, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_src, 4]), 32), 2) = 1 then error "cannot set event code for a rate hysteresis event" end if; userinfo(3, {'events', 'eventreset'}, `manual set event code `, _src, ` to value `, rhs(_k)); _dtbl[_i][3][1][_src, 8] := rhs(_k); _dtbl[_i][3][4][_src, _i-1] := rhs(_k) end if end do; return [_val] elif type(_xin, `=`) and lhs(_xin) = "direction" then if not member(rhs(_xin), {-1, 1, ':-left', ':-right'}) then error "'direction' must be specified as either '1' or 'right' (positive) or '-1' or 'left' (negative)" end if; _src := `if`(_dtbl[4] = 2, -1, `if`(_dtbl[4] = 3, 1, undefined)); _i := `if`(member(rhs(_xin), {1, ':-right'}), 3, 2); _dtbl[4] := _i; _dtbl[_i] := `dsolve/numeric/SC/IVPdcopy`(_dtbl[1], `if`(assigned(_dtbl[_i]), _dtbl[_i], NULL)); if 0 < _nv then for _j to _nv+1 do if _j <= _nv and not type(_dtbl[_i][3][4][_j, _i-1], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to defined init `, _dtbl[_i][3][4][_j, _i-1]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][3][4][_j, _i-1] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to rate hysteresis init `, _dtbl[_i][5][24]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][5][24] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to initial init `, _x0); _dtbl[_i][3][1][_j, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to fireinitial init `, _x0-2*_i+5.0); _dtbl[_i][3][1][_j, 8] := _x0-2*_i+5.0 end if end do end if; return _src elif _xin = "eventcount" then if _dtbl[1][3][1] = 0 or _dtbl[4] <> 2 and _dtbl[4] <> 3 then return 0 else return round(_dtbl[_dtbl[4]][3][1][_nv+1, 12]) end if else return "procname" end if end if; if _xout = _x0 then return [_x0, seq(evalf(_dtbl[1][6][_vmap[_i]]), _i = 1 .. _n-_ne)] end if; _i := `if`(_x0 <= _xout, 3, 2); if _xin = "last" and 0 < _dtbl[_i][4][9] and _dtbl[_i][4][9] < 10 then _dat := eval(_dtbl[_i], 2); _j := _dat[4][20]; return [_dat[11][_j, 0], seq(_dat[11][_j, _vmap[_i]], _i = 1 .. _n-_ne-_nd), seq(_dat[8][1][_vmap[_i]], _i = _n-_ne-_nd+1 .. _n-_ne)] end if; if not type(_dtbl[_i], 'array') then _dtbl[_i] := `dsolve/numeric/SC/IVPdcopy`(_dtbl[1], `if`(assigned(_dtbl[_i]), _dtbl[_i], NULL)); if 0 < _nv then for _j to _nv+1 do if _j <= _nv and not type(_dtbl[_i][3][4][_j, _i-1], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to defined init `, _dtbl[_i][3][4][_j, _i-1]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][3][4][_j, _i-1] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to rate hysteresis init `, _dtbl[_i][5][24]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][5][24] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to initial init `, _x0); _dtbl[_i][3][1][_j, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to fireinitial init `, _x0-2*_i+5.0); _dtbl[_i][3][1][_j, 8] := _x0-2*_i+5.0 end if end do end if end if; if _xin <> "last" then if 0 < 0 then if `dsolve/numeric/checkglobals`(op(_dtbl[1][14]), _pars, _n, _y0) then `dsolve/numeric/SC/reinitialize`(_dtbl, _y0, _n, procname, _pars, _i) end if end if; if _dtbl[1][4][7] = 0 then error "parameters must be initialized before solution can be computed" end if end if; _dat := eval(_dtbl[_i], 2); _dtbl[4] := _i; try _src := `dsolve/numeric/SC/IVPrun`(_dat, _xout) catch: userinfo(2, `dsolve/debug`, print(`Exception in solnproc:`, [lastexception][2 .. -1])); error  end try; if _src = 0 and 10 < _dat[4][9] then _val := _dat[3][1][_nv+1, 8] else _val := _dat[11][_dat[4][20], 0] end if; if _src <> 0 or _dat[4][9] <= 0 then _dtbl[1][5][1] := _xout else _dtbl[1][5][1] := _val end if; if _i = 3 and _val < _xout then Rounding := -infinity; if _dat[4][9] = 1 then error "cannot evaluate the solution further right of %1, probably a singularity", evalf[8](_val) elif _dat[4][9] = 2 then error "cannot evaluate the solution further right of %1, maxfun limit exceeded (see <a href='http://www.maplesoft.com/support/help/search.aspx?term=dsolve,maxfun' target='_new'>?dsolve,maxfun</a> for details)", evalf[8](_val) elif _dat[4][9] = 3 then if _dat[4][25] = 3 then error "cannot evaluate the solution past the initial point, problem may be initially singular or improperly set up" else error "cannot evaluate the solution past the initial point, problem may be complex, initially singular or improperly set up" end if elif _dat[4][9] = 4 then error "cannot evaluate the solution further right of %1, accuracy goal cannot be achieved with specified 'minstep'", evalf[8](_val) elif _dat[4][9] = 5 then error "cannot evaluate the solution further right of %1, too many step failures, tolerances may be too loose for problem", evalf[8](_val) elif 10 < _dat[4][9] then if _dat[4][9]-10 = _nv+1 then error "constraint projection failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+2 then error "index-1 and derivative evaluation failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+3 then error "maximum number of event iterations reached (%1) at t=%2", round(_dat[3][1][_nv+1, 3]), evalf[8](_val) else if _Env_dsolve_nowarnstop <> true then `dsolve/numeric/warning`(StringTools:-FormatMessage("cannot evaluate the solution further right of %1, event #%2 triggered a halt", evalf[8](_val), round(_dat[3][1][_dat[4][9]-10, 1]))) end if; Rounding := 'nearest'; _xout := _val end if else error "cannot evaluate the solution further right of %1", evalf[8](_val) end if elif _i = 2 and _xout < _val then Rounding := infinity; if _dat[4][9] = 1 then error "cannot evaluate the solution further left of %1, probably a singularity", evalf[8](_val) elif _dat[4][9] = 2 then error "cannot evaluate the solution further left of %1, maxfun limit exceeded (see <a href='http://www.maplesoft.com/support/help/search.aspx?term=dsolve,maxfun' target='_new'>?dsolve,maxfun</a> for details)", evalf[8](_val) elif _dat[4][9] = 3 then if _dat[4][25] = 3 then error "cannot evaluate the solution past the initial point, problem may be initially singular or improperly set up" else error "cannot evaluate the solution past the initial point, problem may be complex, initially singular or improperly set up" end if elif _dat[4][9] = 4 then error "cannot evaluate the solution further left of %1, accuracy goal cannot be achieved with specified 'minstep'", evalf[8](_val) elif _dat[4][9] = 5 then error "cannot evaluate the solution further left of %1, too many step failures, tolerances may be too loose for problem", evalf[8](_val) elif 10 < _dat[4][9] then if _dat[4][9]-10 = _nv+1 then error "constraint projection failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+2 then error "index-1 and derivative evaluation failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+3 then error "maximum number of event iterations reached (%1) at t=%2", round(_dat[3][1][_nv+1, 3]), evalf[8](_val) else if _Env_dsolve_nowarnstop <> true then `dsolve/numeric/warning`(StringTools:-FormatMessage("cannot evaluate the solution further left of %1, event #%2 triggered a halt", evalf[8](_val), round(_dat[3][1][_dat[4][9]-10, 1]))) end if; Rounding := 'nearest'; _xout := _val end if else error "cannot evaluate the solution further left of %1", evalf[8](_val) end if end if; if _EnvInFsolve = true then _dig := _dat[4][26]; _dat[4][26] := _EnvDSNumericSaveDigits; _Env_dsolve_SC_native := true; if _dat[4][25] = 1 then _i := 1; _dat[4][25] := 2 else _i := _dat[4][25] end if; _val := `dsolve/numeric/SC/IVPval`(_dat, _xout, _src); _dat[4][25] := _i; _dat[4][26] := _dig; [_xout, seq(_val[_vmap[_i]], _i = 1 .. _n-_ne)] else Digits := _dat[4][26]; _val := `dsolve/numeric/SC/IVPval`(eval(_dat, 2), _xout, _src); [_xout, seq(_val[_vmap[_i]], _i = 1 .. _n-_ne)] end if end proc, (2) = Array(0..0, {}), (3) = [t, alpha(t), diff(alpha(t), t), theta(t), diff(theta(t), t), x(t), diff(x(t), t), z(t), diff(z(t), t)], (4) = []}); _vars := _dat[3]; _pars := map(rhs, _dat[4]); _n := nops(_vars)-1; _solnproc := _dat[1]; if not type(_xout, 'numeric') then if member(x_rkf45, ["start", 'start', "method", 'method', "left", 'left', "right", 'right', "leftdata", "rightdata", "enginedata", "eventstop", 'eventstop', "eventclear", 'eventclear', "eventstatus", 'eventstatus', "eventcount", 'eventcount', "laxtol", 'laxtol', "numfun", 'numfun', NULL]) then _res := _solnproc(convert(x_rkf45, 'string')); if 1 < nops([_res]) then return _res elif type(_res, 'array') then return eval(_res, 1) elif _res <> "procname" then return _res end if elif member(x_rkf45, ["last", 'last', "initial", 'initial', "parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(x_rkf45, 'string'); _res := _solnproc(_xout); if _xout = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] elif _xout = "initial_and_parameters" then return [seq(_vars[_i+1] = [_res][1][_i+1], _i = 0 .. _n), seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] else return [seq(_vars[_i+1] = _res[_i+1], _i = 0 .. _n)] end if elif type(_xout, `=`) and member(lhs(_xout), ["initial", 'initial', "parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(lhs(x_rkf45), 'string') = rhs(x_rkf45); if type(rhs(_xout), 'list') then _res := _solnproc(_xout) else error "initial and/or parameter values must be specified in a list" end if; if lhs(_xout) = "initial" then return [seq(_vars[_i+1] = _res[_i+1], _i = 0 .. _n)] elif lhs(_xout) = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] else return [seq(_vars[_i+1] = [_res][1][_i+1], _i = 0 .. _n), seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] end if elif type(_xout, `=`) and member(lhs(_xout), ["eventdisable", 'eventdisable', "eventenable", 'eventenable', "eventfired", 'eventfired', "direction", 'direction', NULL]) then return _solnproc(convert(lhs(x_rkf45), 'string') = rhs(x_rkf45)) elif _xout = "solnprocedure" then return eval(_solnproc) elif _xout = "sysvars" then return _vars end if; if procname <> unknown then return ('procname')(x_rkf45) else _ndsol; _ndsol := pointto(_dat[2][0]); return ('_ndsol')(x_rkf45) end if end if; try _res := _solnproc(_xout); [seq(_vars[_i+1] = _res[_i+1], _i = 0 .. _n)] catch: error  end try end proc

 

Warning, cannot evaluate the solution further right of .33009777, probably a singularity

 

 

 

``

``


thank you !

Download DL.mw

x: =Matrix([[a1,a2],[a3,a4]])

after some calculation,

assign(%)

a1 etc have value,

how to make a1,a2,a3,a4 back to variable in maple 12?

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