Document function And() before Or()

[linpy.git] / examples / squares.py

diff --git a/examples/squares.py b/examples/squares.py
index 4389d87..98e2ca8 100755 (executable)
--- a/examples/squares.py
+++ b/examples/squares.py
@@ -1,6 +1,8 @@
 #!/usr/bin/env python3
 
 #!/usr/bin/env python3
 

-from pypol import *
+from linpy import *
+import matplotlib.pyplot as plt
+from matplotlib import pylab

 
 a, x, y, z = symbols('a x y z')
 
 
 a, x, y, z = symbols('a x y z')
 


@@ -9,8 +11,10 @@ sq2 = Le(2, x) & Le(x, 4) & Le(2, y) & Le(y, 4)
 sq3 = Le(0, x) & Le(x, 3) & Le(0, y) & Le(y, 3)
 sq4 = Le(1, x) & Le(x, 2) & Le(1, y) & Le(y, 2)
 sq5 = Le(1, x) & Le(x, 2) & Le(1, y)
 sq3 = Le(0, x) & Le(x, 3) & Le(0, y) & Le(y, 3)
 sq4 = Le(1, x) & Le(x, 2) & Le(1, y) & Le(y, 2)
 sq5 = Le(1, x) & Le(x, 2) & Le(1, y)

-sq6 = Le(1, x) & Le(x, 2) & Le(1, y) & Eq(y, 3)
+sq6 = Le(1, x) & Le(x, 2) & Le(1, y) & Le(y, 3)

 sq7 = Le(0, x) & Le(x, 2) & Le(0, y) & Eq(z, 2) & Le(a, 3)
 sq7 = Le(0, x) & Le(x, 2) & Le(0, y) & Eq(z, 2) & Le(a, 3)

+p = Le(2*x+1, y) & Le(-2*x-1, y) & Le(y, 1)
+

 universe = Polyhedron([])
 q = sq1 - sq2
 e = Empty
 universe = Polyhedron([])
 q = sq1 - sq2
 e = Empty


@@ -57,15 +61,27 @@ print('lexographic max of sq2:', sq2.lexmax()) #test lexmax()
 print()
 print('Polyhedral hull of sq1 + sq2 is:', q.aspolyhedron()) #test polyhedral hull
 print()
 print()
 print('Polyhedral hull of sq1 + sq2 is:', q.aspolyhedron()) #test polyhedral hull
 print()

-print('is sq1 bounded?', sq1.isbounded()) #unbounded should return True
+print('is sq1 bounded?', sq1.isbounded()) #bounded should return True

 print('is sq5 bounded?', sq5.isbounded()) #unbounded should return False
 print()
 print('sq6:', sq6)
 print('is sq5 bounded?', sq5.isbounded()) #unbounded should return False
 print()
 print('sq6:', sq6)

-print('sq6 simplified:', sq6.sample())
-print()
-print(universe.project([x]))
-print('sq7 with out constraints involving y and a', sq7.project([a, z, x, y])) #drops dims that are passed
+print('sample Polyhedron from sq6:', sq6.sample())

 print()
 print()

-print('sq1 has {} parameters'.format(sq1.num_parameters()))
+print('sq7 with out constraints involving y and a', sq7.project([a, z, x, y])) 

 print()
 print()

-print('does sq1 constraints involve x?', sq1.involves_dims([x]))
+print('the verticies for s are:', p.vertices())
+
+
+# plotting the intersection of two squares
+square1 = Le(0, x) & Le(x, 2) & Le(0, y) & Le(y, 2)
+square2 = Le(1, x) & Le(x, 3) & Le(1, y) & Le(y, 3)
+
+fig = plt.figure()
+plot = fig.add_subplot(1, 1, 1, aspect='equal')
+square1.plot(plot, facecolor='red', alpha=0.3)
+square2.plot(plot, facecolor='blue', alpha=0.3)
+
+squares = Polyhedron(square1 + square2)
+squares.plot(plot, facecolor='blue', alpha=0.3)
+
+pylab.show()