Added example

Author: scheinerman

development/examples.jl

@@ -1,65 +1,5 @@
 using SimplexTableaux
 
-"""
-    example1()
-
-Sample linear program from here: https://www.youtube.com/watch?v=rzRZLGD_aeE
-"""
-function example1()
-    A = [3 5; 4 1]
-    b = [78; 36]
-    c = [5; 4]
-    return Tableau(A, b, c)
-end
-
-"""
-    example2()
-
-Sample linear program from here: https://www.youtube.com/watch?v=rzRZLGD_aeE
-"""
-function example2()
-    A = [3 10 5; 5 2 8; 8 10 3]
-    b = [120; 6; 105]
-    c = [3; 4; 1]
-    return Tableau(A, b, c)
-end
-
-function example3()
-    A = [1 1 3; 2 2 5; 4 1 2]
-    b = [30; 24; 36]
-    c = [3; 1; 1]
-    return Tableau(A, b, c)
-end
-
-function example4()
-    A = [4 5; 8 5; 4 1]
-    b = [60; 80; 20]
-    c = [1; 1]
-    return Tableau(A, b, c)
-end
-
-function example5()
-    A = [8 3; 1 1; 1 4]
-    b = [24; 4; 12]
-    c = [2; 1]
-    return T = Tableau(A, b, c)
-end
-
-function unbounded_example()
-    A = [-1 0; 0 -1]
-    b = [-1; -1]
-    c = [1; 1]
-    return Tableau(A, b, c)
-end
-
-function random_example(n_vars::Int, n_cons::Int, modulus::Int=10)
-    f(x::Int) = mod1(x, modulus)
-    A = f.(rand(Int, n_cons, n_vars))
-    b = f.(rand(Int, n_cons))
-    c = f.(rand(Int, n_vars))
-    return Tableau(A, b, c)
-end
-
 """
     dog_food()
 
@@ -92,4 +32,16 @@ function fishkind4()
     T = Tableau(A, b, c, false)
 end
 
+"""
+    small_example()
+
+Small example for section 4.4
+"""
+function small_example()
+    A = [3 2 -1; 1 -1 3]
+    b = [1; 6]
+    c = [1;2;3]
+    return Tableau(A, b, c, false)
+end
+
 nothing