##############ECHO OF PROBLEM#################
##############temp/sin_lg_hpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   ; 
!
#BEGIN FIRST INPUT BLOCK
#  ELIMINATED in preodein.rb
# Digits:=16; ELIMINATED in preodein.rb
max_terms=40 
#  ELIMINATED in preodein.rb
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
#  ELIMINATED in preodein.rb
x_start=c(0.0) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=false 
$glob_max_h=c(1.0) 
$glob_min_h=c(1.0) 
$glob_display_interval=c(1.0) 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
$glob_type_given_pole=3 
#  ELIMINATED in preodein.rb
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=8 
$glob_max_minutes=(3.0) 
$glob_subiter_method=3 
$glob_max_iter=100000 
$glob_upper_ratio_limit=c(1.000001) 
$glob_lower_ratio_limit=c(0.999999) 
$glob_look_poles=true 
$glob_h=c(0.001) 
$glob_display_interval=c(0.01) 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK

def exact_soln_y (x)
x = c(x)

return(c(2.0) - cos(c(x))) 

end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.0 
y[1] (closed_form)               1.0 
y[1] (numeric)                   1.0 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.0009999993333334664 
Order of pole (three term test)                   32.00000099999966 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.001 
y[1] (closed_form)               1.4605394351275534 
y[1] (numeric)                   1.4605394351275534 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.45423165755660116 
Order of pole (three term test)                   32.708982298947504 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             2.001 
y[1] (closed_form)               2.4170559257490174 
y[1] (numeric)                   2.4170559257490174 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.379054134036822 
Order of pole (three term test)                   32.82606435479762 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             3.001 
y[1] (closed_form)               2.9901331215887783 
y[1] (numeric)                   2.9901331215887783 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.13874730003752106 
Order of pole (three term test)                   32.019636401532864 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             4.0009999999999994 
y[1] (closed_form)               2.652886491672655 
y[1] (numeric)                   2.6528864916726547 
absolute error                   4.440892098500626e-16 
relative error                   1.6739849640911802e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.4945326340169656 
Order of pole (three term test)                   32.57373922899137 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   ; 
Iterations                      6 
Total Elapsed Time              0 Seconds
Elapsed Time(since restart)     0 Seconds
Time to Timeout                 3 Minutes 0.0 Seconds
Percent Done                    120.01999999999998%