06-Feb-2022 10:47:52

trinity_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2.
  trinity() implements a linear programming
  approach to the trinity 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 148 rows, 142 columns, 5254 nonzeros

  LP information saved as "trinity.lp"

lp_generate():
  Normal end of execution.

trinity_lp_alt():
  Define the trinity puzzle and a 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.
  An alternative form for the objective function is to be used.

  trinity system computed.
  matrix A has 148 rows, 142 columns, 5254 nonzeros

  trinity information saved as "trinity_alt.lp"

trinity_alt_lp():
  Normal end of execution.

trinity_cplex_test():
  Examine the trinity() solution from cplex().

solution_plot():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Plot a solution generated by cplex().
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  Graphics saved as "trinity_cplex.png"

solution_plot():
  Normal end of execution.

solution_tikz_ij():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Make a tikz() image of a tiling solution.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  tikz image saved as "trinity_cplex_ij.tex"

solution_tikz_ij():
  Normal end of execution.

solution_tikz_xy():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Make a tikz() image of a tiling solution.
  The (x,y) coordinate system is used.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)  pxy=(3,3.4641)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)  pxy=(2.5,0.866025)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)  pxy=(1.5,0.866025)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)  pxy=(2,0)
  tikz image saved as "trinity_cplex_xy.tex"

solution_tikz_xy():
  Normal end of execution.

trinity_solution_print():
  Print, for each configuration in 
  a trinity solution, the grid elements and (i,j) vertex
  coordinates covered by the configuration.

  "trinity cplex solution"

  Configuration 26 was used in the solution.
  Tile = 1, VAR_NUM = 26, Rotate = 4, reflect = 0, element #1 type = -5  pij = (12,24)
  Configuration 47 was used in the solution.
  Tile = 2, VAR_NUM = 47, Rotate = 2, reflect = 0, element #1 type = -6  pij = (10,6)
  Configuration 76 was used in the solution.
  Tile = 3, VAR_NUM = 76, Rotate = 2, reflect = 0, element #1 type = 2  pij = (6,6)
  Configuration 142 was used in the solution.
  Tile = 4, VAR_NUM = 142, Rotate = 5, reflect = 1, element #1 type = -6  pij = (8,0)

trinity_solution_print():
  Normal end of execution.

trinity_cplex_test():
  Normal end of execution.

trinity_gurobi_test():
  Examine the trinity() solution from gurobi().

gurobi_solution_read():
  Extract information from GUROBI file "trinity_gurobi.sol".
  The file contains 143 lines of information.

  The file contains 4 nonzero values.
  X array size adjusted to 142

solution_plot():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Plot a solution generated by cplex().
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  Graphics saved as "trinity_gurobi.png"

solution_plot():
  Normal end of execution.

solution_tikz_ij():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Make a tikz() image of a tiling solution.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  tikz image saved as "trinity_gurobi_ij.tex"

solution_tikz_ij():
  Normal end of execution.

solution_tikz_xy():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Make a tikz() image of a tiling solution.
  The (x,y) coordinate system is used.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)  pxy=(3,3.4641)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)  pxy=(2.5,0.866025)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)  pxy=(1.5,0.866025)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)  pxy=(2,0)
  tikz image saved as "trinity_gurobi_xy.tex"

solution_tikz_xy():
  Normal end of execution.

trinity_solution_print():
  Print, for each configuration in 
  a trinity solution, the grid elements and (i,j) vertex
  coordinates covered by the configuration.

  "trinity gurobi solution"

  Configuration 26 was used in the solution.
  Tile = 1, VAR_NUM = 26, Rotate = 4, reflect = 0, element #1 type = -5  pij = (12,24)
  Configuration 47 was used in the solution.
  Tile = 2, VAR_NUM = 47, Rotate = 2, reflect = 0, element #1 type = -6  pij = (10,6)
  Configuration 76 was used in the solution.
  Tile = 3, VAR_NUM = 76, Rotate = 2, reflect = 0, element #1 type = 2  pij = (6,6)
  Configuration 142 was used in the solution.
  Tile = 4, VAR_NUM = 142, Rotate = 5, reflect = 1, element #1 type = -6  pij = (8,0)

trinity_solution_print():
  Normal end of execution.

trinity_gurobi_test():
  Normal end of execution.

trinity_scip_test():
  Examine the trinity() solution from scip().

scip_solution_read():
  Extract solution information from an SCIP solution file.
  File contains 6 lines
  Number of nonzero entries in X is 4

solution_plot():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Plot a solution generated by cplex().
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  Graphics saved as "trinity_scip.png"

solution_plot():
  Normal end of execution.

solution_tikz_ij():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Make a tikz() image of a tiling solution.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  tikz image saved as "trinity_scip_ij.tex"

solution_tikz_ij():
  Normal end of execution.

solution_tikz_xy():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Make a tikz() image of a tiling solution.
  The (x,y) coordinate system is used.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)  pxy=(3,3.4641)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)  pxy=(2.5,0.866025)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)  pxy=(1.5,0.866025)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)  pxy=(2,0)
  tikz image saved as "trinity_scip_xy.tex"

solution_tikz_xy():
  Normal end of execution.

trinity_solution_print():
  Print, for each configuration in 
  a trinity solution, the grid elements and (i,j) vertex
  coordinates covered by the configuration.

  "trinity scip solution"

  Configuration 26 was used in the solution.
  Tile = 1, VAR_NUM = 26, Rotate = 4, reflect = 0, element #1 type = -5  pij = (12,24)
  Configuration 47 was used in the solution.
  Tile = 2, VAR_NUM = 47, Rotate = 2, reflect = 0, element #1 type = -6  pij = (10,6)
  Configuration 76 was used in the solution.
  Tile = 3, VAR_NUM = 76, Rotate = 2, reflect = 0, element #1 type = 2  pij = (6,6)
  Configuration 142 was used in the solution.
  Tile = 4, VAR_NUM = 142, Rotate = 5, reflect = 1, element #1 type = -6  pij = (8,0)

trinity_solution_print():
  Normal end of execution.

trinity_scip_test():
  Normal end of execution.

trinity_test():
  Normal end of execution.

06-Feb-2022 10:48:08