07-Jan-2022 19:04:38

diophantine_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Test diophantine().

diophantine_test01():
  Solve one Diophantine equation in two variables.
    91*x1+21*x2 = 7

  Any right hand side must be a multiple of d = 7

  A particular solution v:
     1
    -4


  General solution x = v + W*c, where W is:
    -3
    13


  The residual for the particular solution with c=0 is 0

diophantine_test02():
  Solve one Diophantine equation in three variables.
    6*x1-14*x2+21*x3 = 11

  Any right hand side must be a multiple of d = 1

  A particular solution v:
   -11
    11
    11


  General solution x = v + W*c, where W is:
     0     7
     3     0
     2    -2


  The residual for the particular solution with c=0 is 0

diophantine_test03()
  Solve one Diophantine equation in three variables.
    12*x1+9*x2+7*x3 = 60

  Any right hand side must be a multiple of d = 1

  A particular solution v:
   180
     0
  -300


  General solution x = v + W*c, where W is:
     1    -7
     1     0
    -3    12


  The residual for the particular solution with c=0 is 0

diophantine_test04():
  Solve one Diophantine equation in three variables.
    6*x1+15*x2+10*x3 = 60

  Any right hand side must be a multiple of d = 1

  A particular solution v:
    60
    60
  -120


  General solution x = v + W*c, where W is:
     0    -5
    -2     0
     3     3


  The residual for the particular solution with c=0 is 0
(28,12): 6 0 + 15 4 + 10 0 = 60
(29,11): 6 5 + 15 2 + 10 0 = 60
(29,12): 6 0 + 15 2 + 10 3 = 60
(30,10): 6 10 + 15 0 + 10 0 = 60
(30,11): 6 5 + 15 0 + 10 3 = 60
(30,12): 6 0 + 15 0 + 10 6 = 60

diophantine_test():
  Normal end of execution.
07-Jan-2022 19:04:38