Home License -- for personal use only.  Not for government,
	academic, research, commercial, or other organizational use.

13-May-2025 17:30:41

serenity_test():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7.
  serenity() implements a linear programming
  approach to the serenity tiling problem.

lp_generate():
  Define a puzzle grid and set of tiles.
  Set up the linear system A*x=b defining the tiling problem.
  Use sparse storage for the matrix A.
  Write that information to an LP file.

  LP system computed.
  Matrix A has 296 rows, 876 columns, 32412 nonzeros

  LP information saved as "serenity.lp"

lp_generate():
  Normal end of execution.

  cplex() found 876 solutions
  Each solution selected from 12 configurations.

solution_plot():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7
  Plot a solution generated by cplex().
  Tile = 1, VAR = 101,  Rotate = 5, reflect = 0,  type = -5  pij = (-10,12)
  Tile = 2, VAR = 231,  Rotate = 5, reflect = 0,  type = -1  pij = (-6,12)
  Tile = 3, VAR = 291,  Rotate = 2, reflect = 0,  type = -5  pij = (8,6)
  Tile = 4, VAR = 393,  Rotate = 2, reflect = 0,  type = -1  pij = (10,24)
  Tile = 5, VAR = 566,  Rotate = 5, reflect = 0,  type = -5  pij = (-2,24)
  Tile = 6, VAR = 663,  Rotate = 5, reflect = 0,  type = -5  pij = (-4,30)
  Tile = 7, VAR = 764,  Rotate = 5, reflect = 0,  type = -4  pij = (-10,24)
  Tile = 8, VAR = 866,  Rotate = 5, reflect = 0,  type = 5  pij = (0,18)
  Graphics saved as "serenity_solution.png"

solution_plot():
  Normal end of execution.

solution_print():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7
  Print, for each configuration in a solution,
  the grid elements and (i,j) vertex
  coordinates covered by the configuration.
  Configuration 101 used in solution.
  Tile = 1, VAR_NUM = 101,  Rotate = 5, reflect = 0,  type = -5  pij = (-10,12)
  Configuration 231 used in solution.
  Tile = 2, VAR_NUM = 231,  Rotate = 5, reflect = 0,  type = -1  pij = (-6,12)
  Configuration 291 used in solution.
  Tile = 3, VAR_NUM = 291,  Rotate = 2, reflect = 0,  type = -5  pij = (8,6)
  Configuration 393 used in solution.
  Tile = 4, VAR_NUM = 393,  Rotate = 2, reflect = 0,  type = -1  pij = (10,24)
  Configuration 566 used in solution.
  Tile = 5, VAR_NUM = 566,  Rotate = 5, reflect = 0,  type = -5  pij = (-2,24)
  Configuration 663 used in solution.
  Tile = 6, VAR_NUM = 663,  Rotate = 5, reflect = 0,  type = -5  pij = (-4,30)
  Configuration 764 used in solution.
  Tile = 7, VAR_NUM = 764,  Rotate = 5, reflect = 0,  type = -4  pij = (-10,24)
  Configuration 866 used in solution.
  Tile = 8, VAR_NUM = 866,  Rotate = 5, reflect = 0,  type = 5  pij = (0,18)

solution_print():
  Normal end of execution.

serenity_test():
  Normal end of execution.

13-May-2025 17:31:05