Thu Sep 22 19:09:30 2022

diophantine_test():
  Python version: 3.6.9
  Test diophantine().

diophantine_test01():
  Solve one Diophantine equation in two variables.
     91 * x 1 + 21 * x 2 = 7

  Any right hand side must be a multiple of d = 7.0

  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 0.0

diophantine_test02():
  Solve one Diophantine equation in three variables.
     6 * x 1 + -14 * x 2 + 21 * x 3 = 11

  Any right hand side must be a multiple of d = 1.0

  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 0.0

diophantine_test03()
  Solve one Diophantine equation in three variables.
     12 * x 1 + 9 * x 2 + 7 * x 3 = 60

  Any right hand side must be a multiple of d = 1.0

  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 0.0

diophantine_test04():
  Solve one Diophantine equation in three variables.
     6 * x 1 + 15 * x 2 + 10 * x 3 = 60

  Any right hand side must be a multiple of d = 1.0

  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  0.0
(28,12): 6 0 + 15 0 + 10 -180 = 60
(29,11): 6 5 + 15 5 + 10 -175 = 60
(29,12): 6 0 + 15 0 + 10 -180 = 60
(30,10): 6 10 + 15 10 + 10 -170 = 60
(30,11): 6 5 + 15 5 + 10 -175 = 60
(30,12): 6 0 + 15 0 + 10 -180 = 60

diophantine_test():
  Normal end of execution.
Thu Sep 22 19:09:30 2022