added prototype

Prototype.py

@@ -0,0 +1,23 @@
+import cvxpy as cp
+import numpy as np
+#goals: add a parameter that places the columns away from other columns and away from building edges.
+#way to encode the floor shapes: use a numpy boolean grid.
+#steps: optimization phase 1 will be determinimng number of columns needed and carbon offset quantities
+#optimization phase 2 will be placing the columns in the building.
+
+inputs=["# of floors", ["dimensions of floor n"]]
+floor_count=inputs[0]
+dimensions=inputs[1]
+columns_per_floor=[1,2,3]
+columns_pos=[]
+cp.Variable(3, integer=True)
+constraints=[]
+for i in range(floor_count):
+    columns_pos.append([])
+    for j in columns_per_floor[i]:
+        x = cp.Variable(1,integer=True)
+        y = cp.Variable(1,integer=True)
+        columns_pos[i].append((x,y))
+        #constraints to verify that the column connects to both the current floor and the floor it's supporting.
+        constraints.append(dimensions[i][y][x]==1)
+        constraints.append(dimensions[i+1][y][x]==1)