X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/bf0ba2bac20a5c3f288001a78275e83a0106a02a..d2ec7dd24a7eeab018d12e3ae27d2d1c7226a7f3:/examples/squares.py?ds=inline

diff --git a/examples/squares.py b/examples/squares.py
index 0f4e1a5..0df8b4b 100755
--- a/examples/squares.py
+++ b/examples/squares.py
@@ -2,31 +2,32 @@
 
 from pypol import *
 
-x, y = symbols('x y')
+a, x, y, z = symbols('a x y z')
 
 sq1 = Le(0, x) & Le(x, 2) & Le(0, y) & Le(y, 2)
 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) 
+sq5 = Le(1, x) & Le(x, 2) & Le(1, y)
 sq6 = Le(1, x) & Le(x, 2) & Le(1, y) & Eq(y, 3)
-u = Polyhedron([])
-x = sq1 - sq2
+sq7 = Le(0, x) & Le(x, 2) & Le(0, y) & Eq(z, 2) & Le(a, 3)
+universe = Polyhedron([])
+q = sq1 - sq2
+e = Empty
 
 print('sq1 =', sq1) #print correct square
 print('sq2 =', sq2) #print correct square
 print('sq3 =', sq3) #print correct square
 print('sq4 =', sq4) #print correct square
-print('u =', u) #print correct square
+print('universe =', universe) #print correct square
 print()
-print('¬sq1 =', ~sq1) #test compliment
+print('¬sq1 =', ~sq1) #test complement
 print()
 print('sq1 + sq1 =', sq1 + sq2) #test addition
 print('sq1 + sq2 =', Polyhedron(sq1 + sq2)) #test addition
 print()
-print('u + u =', u + u)#test addition
-print('u - u =', u - u) #test subtraction
+print('universe + universe =', universe + universe)#test addition
+print('universe - universe =', universe - universe) #test subtraction
 print()
 print('sq2 - sq1 =', sq2 - sq1) #test subtraction
 print('sq2 - sq1 =', Polyhedron(sq2 - sq1)) #test subtraction
@@ -39,11 +40,11 @@ print('sq1 ⊔ sq2 =', Polyhedron(sq1 | sq2)) # test convex union
 print()
 print('check if sq1 and sq2 disjoint:', sq1.isdisjoint(sq2)) #should return false
 print()
-print('sq1 disjoint:', sq1.disjoint()) #make disjoint 
+print('sq1 disjoint:', sq1.disjoint()) #make disjoint
 print('sq2 disjoint:', sq2.disjoint()) #make disjoint
 print()
 print('is square 1 universe?:', sq1.isuniverse()) #test if square is universe
-print('is u universe?:', u.isuniverse()) #test if square is universe
+print('is u universe?:', universe.isuniverse()) #test if square is universe
 print()
 print('is sq1 a subset of sq2?:', sq1.issubset(sq2)) #test issubset()
 print('is sq4 less than sq3?:', sq4.__lt__(sq3)) # test lt(), must be a strict subset
@@ -54,12 +55,17 @@ print()
 print('lexographic min of sq2:', sq2.lexmin()) #test lexmax()
 print('lexographic max of sq2:', sq2.lexmax()) #test lexmax()
 print()
-print('Polyhedral hull of sq1 + sq2 is:', x.polyhedral_hull()) #test polyhedral hull, returns same 
-                                                               #value as Polyhedron(sq1 + sq2)
+print('Polyhedral hull of sq1 + sq2 is:', q.polyhedral_hull()) #test polyhedral hull
 print()
 print('is sq1 bounded?', sq1.isbounded()) #unbounded should return True
 print('is sq5 bounded?', sq5.isbounded()) #unbounded should return False
 print()
 print('sq6:', sq6)
 print('sq6 simplified:', sq6.sample())
-
+print()
+print(universe.project_out([x]))
+print('sq7 with out constraints involving y and a', sq7.project_out([a, z, x, y])) #drops dims that are passed
+print()
+print('sq1 has {} parameters'.format(sq1.num_parameters()))
+print()
+print('does sq1 constraints involve x?', sq1.involves_dims([x]))