Add router data structure, blockage parser, pin parser, initial unit tests

compiler/gdsMill/gdsMill/vlsiLayout.py

@@ -602,9 +602,9 @@ class VlsiLayout:
         for boundary in self.structures[self.rootStructureName].boundaries:
             if boundary.drawingLayer==borderlayer:
                 debug.info(debug_level,"Find border "+str(boundary.coordinates))
-                left_button=boundary.coordinates[0]
+                left_bottom=boundary.coordinates[0]
                 right_top=boundary.coordinates[2]
-                cellSize=[right_top[0]-left_button[0],right_top[1]-left_button[1]]
+                cellSize=[right_top[0]-left_bottom[0],right_top[1]-left_bottom[1]]
                 cellSizeMicron=[cellSize[0]*self.units[0],cellSize[1]*self.units[0]]
         if not(cellSizeMicron):
             debug.error("Error: "+str(self.rootStructureName)+".cell_size information not found yet")
@@ -620,6 +620,15 @@ class VlsiLayout:
         cellSizeMicron=[cellSize[0]*self.units[0],cellSize[1]*self.units[0]]
         return cellSizeMicron
 
+    def measureBoundary(self,startStructure):
+        self.rootStructureName=startStructure
+        self.populateCoordinateMap()
+        cellBoundary = [None, None, None, None]
+        for TreeUnit in self.xyTree:
+            cellBoundary=self.measureSizeInStruture(TreeUnit,cellBoundary)
+        return [[self.units[0]*cellBoundary[0],self.units[0]*cellBoundary[1]],
+                [self.units[0]*cellBoundary[2],self.units[0]*cellBoundary[3]]]
+    
     def measureSizeInStruture(self,Struture,cellBoundary):
         StrutureName=Struture[0]
         StrutureOrgin=[Struture[1][0],Struture[1][1]]
@@ -631,9 +640,9 @@ class VlsiLayout:
         debug.info(debug_level,"-Structure direction: vVector["+str(StruturevVector)+"]")
         
         for boundary in self.structures[str(StrutureName)].boundaries:
-            left_button=boundary.coordinates[0]
+            left_bottom=boundary.coordinates[0]
             right_top=boundary.coordinates[2]
-            thisBoundary=[left_button[0],left_button[1],right_top[0],right_top[1]]
+            thisBoundary=[left_bottom[0],left_bottom[1],right_top[0],right_top[1]]
             thisBoundary=self.tranformRectangle(thisBoundary,StrutureuVector,StruturevVector)
             thisBoundary=[thisBoundary[0]+StrutureOrgin[0],thisBoundary[1]+StrutureOrgin[1],
             thisBoundary[2]+StrutureOrgin[0],thisBoundary[3]+StrutureOrgin[1]]
@@ -670,7 +679,8 @@ class VlsiLayout:
         pin_boundary=self.readPinInStructureList(label_coordinate, label_layer)
         debug.info(debug_level, "Find pin covers "+str(label_name)+" at "+str(pin_boundary))
 
-        pin_boundary=[pin_boundary[0]*self.units[0],pin_boundary[1]*self.units[0],pin_boundary[2]*self.units[0],pin_boundary[3]*self.units[0]]
+        pin_boundary=[pin_boundary[0]*self.units[0],pin_boundary[1]*self.units[0],
+                      pin_boundary[2]*self.units[0],pin_boundary[3]*self.units[0]]
         return [label_name, label_layer, pin_boundary]
 
     def readPinInStructureList(self,label_coordinates,layer):
@@ -692,9 +702,9 @@ class VlsiLayout:
 
         for boundary in self.structures[str(StrutureName)].boundaries:
             if layer==boundary.drawingLayer:
-                left_button=boundary.coordinates[0]
+                left_bottom=boundary.coordinates[0]
                 right_top=boundary.coordinates[2]
-                MetalBoundary=[left_button[0],left_button[1],right_top[0],right_top[1]]
+                MetalBoundary=[left_bottom[0],left_bottom[1],right_top[0],right_top[1]]
                 MetalBoundary=self.tranformRectangle(MetalBoundary,StrutureuVector,StruturevVector)
                 MetalBoundary=[MetalBoundary[0]+StrutureOrgin[0],MetalBoundary[1]+StrutureOrgin[1],
                 MetalBoundary[2]+StrutureOrgin[0],MetalBoundary[3]+StrutureOrgin[1]]
@@ -707,18 +717,18 @@ class VlsiLayout:
         return label_boundary
 
     def tranformRectangle(self,orignalRectangle,uVector,vVector):
-        LeftButton=mpmath.matrix([orignalRectangle[0],orignalRectangle[1]])
+        LeftBottom=mpmath.matrix([orignalRectangle[0],orignalRectangle[1]])
-        LeftButton=self.tranformCoordinate(LeftButton,uVector,vVector)
+        LeftBottom=self.tranformCoordinate(LeftBottom,uVector,vVector)
 
         RightUp=mpmath.matrix([orignalRectangle[2],orignalRectangle[3]])
         RightUp=self.tranformCoordinate(RightUp,uVector,vVector)
 
-        Left=min(LeftButton[0],RightUp[0])
+        Left=min(LeftBottom[0],RightUp[0])
-        Button=min(LeftButton[1],RightUp[1])
+        Bottom=min(LeftBottom[1],RightUp[1])
-        Right=max(LeftButton[0],RightUp[0])
+        Right=max(LeftBottom[0],RightUp[0])
-        Up=max(LeftButton[1],RightUp[1])
+        Up=max(LeftBottom[1],RightUp[1])
 
-        return [Left,Button,Right,Up]
+        return [Left,Bottom,Right,Up]
 
     def tranformCoordinate(self,Coordinate,uVector,vVector):
         x=Coordinate[0]*uVector[0]+Coordinate[1]*uVector[1]

compiler/router/cell.py

@@ -0,0 +1,33 @@
+from PIL import ImageColor
+
+class cell:
+    """
+    A single cell that can be occupied in a given layer, blocked,
+    visited, etc.
+    """
+    scale=1
+    
+    def __init__(self):
+        self.visited = 0
+
+        self.blocked = False
+
+        self.is_source = False
+        self.is_target = False
+
+
+    def get_color(self):
+
+        # Blues are horizontal
+        if self.blocked:
+            return ImageColor.getrgb("Blue")
+        # Reds are source/sink    
+        if self.is_source or self.is_target:
+            return ImageColor.getrgb("Red")
+
+        if self.visited>0:
+            return [255-min(int(self.visited/cell.scale * 255),255)] * 3
+
+        return [255,255,255]
+            
+            

compiler/router/grid.py

@@ -0,0 +1,68 @@
+import numpy as np
+from PIL import Image
+import debug
+
+from cell import cell
+    
+class grid:
+    """A two layer routing map. Each cell can be blocked in the vertical
+    or horizontal layer.
+
+    """
+
+    def __init__(self, width, height):
+        """ Create a routing map of width x height cells and 2 in the z-axis. """
+        self.width=width
+        self.height=height
+        self.map={}
+        for x in range(width):
+            for y in range(height):
+                for z in range(2):
+                    self.map[x,y,z]=cell()
+
+    def view(self,):
+        """
+        View the data by creating an RGB array and mapping the data
+        structure to the RGB color palette.
+        """
+
+        v_map = np.zeros((self.width,self.height,3), 'uint8')
+        mid_map = np.ones((25,self.height,3), 'uint8')        
+        h_map = np.ones((self.width,self.height,3), 'uint8')        
+
+        # We shouldn't have a path greater than 50% the HPWL
+        # so scale all visited indices by this value for colorization
+        cell.scale = 1.5 * (self.width+self.height)
+        for x in range(self.width):
+            for y in range(self.height):
+                h_map[x,y] = self.map[x,y,0].get_color()
+                v_map[x,y] = self.map[x,y,1].get_color()
+        
+        v_img = Image.fromarray(v_map, 'RGB').rotate(90)
+        mid_img = Image.fromarray(mid_map, 'RGB').rotate(90)
+        h_img = Image.fromarray(h_map, 'RGB').rotate(90)
+
+        # concatenate them into a plot with the two layers
+        img = Image.new('RGB', (2*self.width+25, self.height))
+        img.paste(h_img, (0,0))
+        img.paste(mid_img, (self.width,0))        
+        img.paste(v_img, (self.width+25,0))
+        img.show()
+
+    def set_property(self,ll,ur,z,name,value=True):
+        for x in range(int(ll[0]),int(ur[0])):
+            for y in range(int(ll[1]),int(ur[1])):
+                setattr (self.map[x,y,z], name, True)            
+
+    def add_blockage(self,ll,ur,z):
+        debug.info(1,"Adding blockage ll={0} ur={1} z={2}".format(str(ll),str(ur),z))
+        self.set_property(ll,ur,z,"blocked")
+
+    def set_source(self,ll,ur,z):
+        debug.info(1,"Adding source ll={0} ur={1} z={2}".format(str(ll),str(ur),z))
+        self.set_property(ll,ur,z,"is_source")
+
+    def set_target(self,ll,ur,z):
+        debug.info(1,"Adding target ll={0} ur={1} z={2}".format(str(ll),str(ur),z))
+        self.set_property(ll,ur,z,"is_target")
+        

compiler/router/router.py

@@ -1,40 +1,120 @@
 import gdsMill
 import tech
+from contact import contact
 import math
 import debug
-from collections import defaultdict
+from vector import vector
+import grid
+
 
 class router:
     """A router class to read an obstruction map from a gds and plan a
-    route on a given layer.
+    route on a given layer. This is limited to two layer routes.
 
     """
-    def __init__(self, gdsName, topName, layers):
+    def __init__(self, gds_name):
         """Use the gds file for the blockages with the top module topName and
         layers for the layers to route on
 
         """
-        self.topName = topName
+        self.gds_name = gds_name
-        self.gdsName = gdsName
+        self.layout = gdsMill.VlsiLayout()
-        self.layout = gdsMill.VlsiLayout(units=tech.GDS["unit"])
         self.reader = gdsMill.Gds2reader(self.layout)
-        self.reader.loadFromFile(gdsName)
+        self.reader.loadFromFile(gds_name)
+        self.top_name = self.layout.rootStructureName
         self.unit = float(self.layout.info['units'][0])
-        self.layers = layers
+        print "Units:",self.unit
 
-        self.find_blockages()
+        self.pin_names = []
-    def create_map(self):
+        self.pin_shapes = {}
-        pass
+        self.pin_layers = {}
+        
+        self.boundary = self.layout.measureBoundary(self.top_name)
+        self.ll = vector(self.boundary[0])
+        self.ur = vector(self.boundary[1])
+        self.size = self.ur - self.ll
+        self.width = self.size.x
+        self.height = self.size.y
+        
+        print "Boundary: ",self.boundary
+        print "Size: ", self.width,self.height
+        
+        # to scale coordinates by units
+        self.unit_factor = [self.unit] * 2
+        
+        # We will offset so ll is at (0,0)
+        self.offset = self.ll 
+        print "Offset: ",self.offset
+        
+
+    def set_top(self,top_name):
+        """ If we want to route something besides the top-level cell."""
+        self.top_name = top_name
+
+
+    def set_layers(self, layers):
+        """ Allows us to change the layers that we are routing on. """
+        self.layers = layers
+        (horiz_layer, via_layer, vert_layer) = self.layers
+        if (via_layer != None):
+            self.via_layer_name = via_layer
+        else:
+            self.via_layer_name = None
+
+        self.vert_layer_name = vert_layer
+        self.vert_layer_width = tech.drc["minwidth_{0}".format(vert_layer)]
+        self.vert_layer_number = tech.layer[vert_layer]
+        
+        self.horiz_layer_name = horiz_layer
+        self.horiz_layer_width = tech.drc["minwidth_{0}".format(horiz_layer)]
+        self.horiz_layer_number = tech.layer[horiz_layer]
+
+        # contacted track spacing
+        via_connect = contact(self.layers, (1, 1))
+        self.horiz_track_width = tech.drc[str(self.horiz_layer_name)+"_to_"+str(self.horiz_layer_name)] + via_connect.width
+        self.vert_track_width = tech.drc[str(self.vert_layer_name)+"_to_"+str(self.vert_layer_name)] + via_connect.width
+
+        # This is so we can use a single resolution grid for both layers
+        self.track_width = max(self.horiz_track_width,self.vert_track_width)
+        print "Track width:",self.track_width
+
+        # to scale coordinates to tracks
+        self.track_factor = [1/self.track_width] * 2
+
+
+
+    def create_routing_grid(self):
+        """ Create a routing grid that spans given area. Wires cannot exist outside region. """
+
+        self.width_in_tracks = int(math.ceil(self.width/self.track_width))
+        self.height_in_tracks = int(math.ceil(self.height/self.track_width))
+
+        print "Size (in tracks): ", self.width_in_tracks, self.height_in_tracks
+        
+        self.rg = grid.grid(self.width_in_tracks,self.height_in_tracks)
+        
+
+    def find_pin(self,pin):
+        """ Finds the offsets to the gds pins """
+        (pin_name,pin_layer,pin_shape) = self.layout.readPin(str(pin))
+        # repack the shape as a pair of vectors rather than four values
+        new_shape = self.convert_to_tracks([vector(pin_shape[0],pin_shape[1]),vector(pin_shape[2],pin_shape[3])])
+        self.pin_names.append(pin_name)
+        self.pin_shapes[str(pin)] = new_shape
+        self.pin_layers[str(pin)] = pin_layer
+        return new_shape
 
     def find_blockages(self):
-        for layer in self.layer:
+        if len(self.pin_names)!=2:
-            debug.info("Layer: " + layer)
+            debug.error("Must set pins before creating blockages.",-1)
-            self.writeObstruct(self.topName, layer)
+            
+        for layer in self.layers:
+            self.write_obstacle(self.top_name)
+
             
     
     def add_route(self,start, end, layerstack):
         """ Add a wire route from the start to the end point"""
-
         pass
 
     def create_steiner_routes(self,pins):
@@ -46,30 +126,115 @@ class router:
         """ Find the set of steiner points and return them."""
         pass
 
+    def translate_coordinates(self, coord, mirr, angle, xyShift):
+        """Calculate coordinates after flip, rotate, and shift"""
+        coordinate = []
+        for item in coord:
+            x = (item[0]*math.cos(angle)-item[1]*mirr*math.sin(angle)+xyShift[0])
+            y = (item[0]*math.sin(angle)+item[1]*mirr*math.cos(angle)+xyShift[1])
+            coordinate += [(x, y)]
+        return coordinate
 
-    def writeObstruct(self, sr, lay, mirr = 1, angle = math.radians(float(0)), xyShift = (0, 0)): 
+    def min_max_coord(self, coordTrans):
+        """Find the lowest and highest conner of a Rectangle"""
+        coordinate = []
+        minx = min(coordTrans[0][0], coordTrans[1][0], coordTrans[2][0], coordTrans[3][0])
+        maxx = max(coordTrans[0][0], coordTrans[1][0], coordTrans[2][0], coordTrans[3][0])
+        miny = min(coordTrans[0][1], coordTrans[1][1], coordTrans[2][1], coordTrans[3][1])
+        maxy = max(coordTrans[0][1], coordTrans[1][1], coordTrans[2][1], coordTrans[3][1])
+        coordinate += [vector(minx, miny)]
+        coordinate += [vector(maxx, maxy)]
+        return coordinate
+
+    def set_source(self,name):
+        shape = self.find_pin(name)
+        zindex = 0 if self.pin_layers[name]==self.horiz_layer_number else 1
+        debug.info(0,"Set source: " + str(name) + " " + str(shape) + " z=" + str(zindex))
+        self.rg.set_source(shape[0],shape[1],zindex)
+
+    def set_target(self,name):
+        shape = self.find_pin(name)
+        zindex = 0 if self.pin_layers[name]==self.horiz_layer_number else 1        
+        debug.info(0,"Set target: " + str(name) + " " + str(shape) + " z=" + str(zindex))
+        self.rg.set_target(shape[0],shape[1],zindex)
+        
+    def write_obstacle(self, sref, mirr = 1, angle = math.radians(float(0)), xyShift = (0, 0)): 
         """Recursive write boundaries on each Structure in GDS file to LEF"""
-        for boundary in self.layout.structures[sr].boundaries:
-            coordTrans = self.coordinatesTranslate(boundary.coordinates, mirr, angle, xyShift)
-            rect = self.minMaxCoord(coordTrans)
-            lay_convert = tech.layer[lay]
-            if boundary.drawingLayer == lay_convert:
-                text = " RECT "
-                for item in rect:
-                    text += " {0} {1}".format(item[0]*self.unit, item[1]*self.unit)
-                debug.info(text)
 
-        for sref in self.layout.structures[sr].srefs:
+        for boundary in self.layout.structures[sref].boundaries:
+            coordTrans = self.translate_coordinates(boundary.coordinates, mirr, angle, xyShift)
+            shape = self.min_max_coord(coordTrans)
+
+            if boundary.drawingLayer in [self.vert_layer_number,self.horiz_layer_number]:
+                ll_microns=shape[0].scale(self.unit_factor)
+                ur_microns=shape[1].scale(self.unit_factor)
+                
+                shape_tracks=self.convert_to_tracks([ll_microns,ur_microns])
+
+                if shape_tracks not in self.pin_shapes.values():
+                    # inflate the ll and ur by 1 track in each direction
+                    [ll,ur]=shape_tracks
+                    ll = vector(0,0).max(ll + vector(-1,-1))
+                    ur = vector(self.width_in_tracks-1,self.height_in_tracks-1).min(ur + vector(1,1))
+                    zlayer = 0 if boundary.drawingLayer==self.horiz_layer_number else 1
+                    debug.info(1,"Blockage: "+str([ll,ur])+" z="+str(zlayer))
+                    self.rg.add_blockage(ll,ur,zlayer)
+                else:
+                    debug.info(2,"Skip: "+str(shape_tracks))
+                
+
+
+        # recurse given the mirror, angle, etc.
+        for cur_sref in self.layout.structures[sref].srefs:
             sMirr = 1
             if sref.transFlags[0] == True:
                 sMirr = -1
             sAngle = math.radians(float(0))
             if sref.rotateAngle:
-                sAngle = math.radians(float(sref.rotateAngle))
+                sAngle = math.radians(float(cur_sref.rotateAngle))
             sAngle += angle
-            x = sref.coordinates[0]
+            x = cur_sref.coordinates[0]
-            y = sref.coordinates[1]
+            y = cur_sref.coordinates[1]
             newX = (x)*math.cos(angle) - mirr*(y)*math.sin(angle) + xyShift[0] 
             newY = (x)*math.sin(angle) + mirr*(y)*math.cos(angle) + xyShift[1] 
             sxyShift = (newX, newY)
-            self.writeObstruct(sref.sName, lay,sMirr, sAngle, sxyShift)
+            
+            self.write_obstacle(cur_sref.sName, layer,sMirr, sAngle, sxyShift)
+
+    def inflate_obstacle(self,shape):
+        # TODO: inflate by the layer design rules
+        return shape
+        
+    def convert_to_tracks(self,shape):
+        """ 
+        Convert a rectangular shape into track units.
+        """
+        [ll,ur] = shape
+
+        # fix offset
+        ll = snap_to_grid(ll-self.offset)
+        ur = snap_to_grid(ur-self.offset)
+
+        # always round down, because we will add a track
+        # to inflate each object later
+        ll = ll.scale(self.track_factor).ceil()
+        ur = ur.scale(self.track_factor).floor()
+
+        return [ll,ur]
+            
+
+# FIXME: This should be replaced with vector.snap_to_grid at some point
+def snap_to_grid(offset):
+    """
+    Changes the coodrinate to match the grid settings
+    """
+    grid = tech.drc["grid"]  
+    x = offset[0]
+    y = offset[1]
+    # this gets the nearest integer value
+    xgrid = int(round(round((x / grid), 2), 0))
+    ygrid = int(round(round((y / grid), 2), 0))
+    xoff = xgrid * grid
+    yoff = ygrid * grid
+    return vector(xoff, yoff)
+            

compiler/router/tests/01_no_blockages_test.py

@@ -0,0 +1,54 @@
+#!/usr/bin/env python2.7
+"Run a regresion test the library cells for DRC"
+
+import unittest
+from testutils import header
+import sys,os
+sys.path.append(os.path.join(sys.path[0],"../.."))
+sys.path.append(os.path.join(sys.path[0],".."))
+import globals
+import debug
+import calibre
+import vector
+
+class no_blockages_test(unittest.TestCase):
+
+    def runTest(self):
+        globals.init_openram("config_{0}".format(OPTS.tech_name))        
+        
+        import router
+        #r=router.router("A_to_B_no_blockages.gds")
+        r=router.router("A_to_B_m1m2_blockages.gds")
+
+        r.set_layers(("metal1","via1","metal2"))
+
+        r.create_routing_grid()
+
+        r.set_source("A")
+        
+        r.set_target("B")
+        
+        r.find_blockages()
+        r.rg.view()
+            
+        #drc_errors = calibre.run_drc(name, gds_name)
+        drc_errors = 1
+        
+        # fails if there are any DRC errors on any cells
+        self.assertEqual(drc_errors, 0)
+        globals.end_openram()
+
+
+
+
+
+
+                             
+
+
+# instantiate a copy of the class to actually run the test
+if __name__ == "__main__":
+    (OPTS, args) = globals.parse_args()
+    del sys.argv[1:]
+    header(__file__, OPTS.tech_name)
+    unittest.main()

compiler/router/tests/config_freepdk45.py

@@ -0,0 +1,23 @@
+word_size = 1
+num_words = 16
+num_banks = 1
+
+tech_name = "freepdk45"
+
+decoder = "hierarchical_decoder"
+ms_flop = "ms_flop"
+ms_flop_array = "ms_flop_array"
+control_logic = "control_logic"
+bitcell_array = "bitcell_array"
+sense_amp = "sense_amp"
+sense_amp_array = "sense_amp_array"
+precharge_array = "precharge_array"
+column_mux_array = "single_level_column_mux_array"
+write_driver = "write_driver"
+write_driver_array = "write_driver_array"
+tri_gate = "tri_gate"
+tri_gate_array = "tri_gate_array"
+wordline_driver = "wordline_driver"
+replica_bitcell = "replica_bitcell"
+bitcell = "bitcell"
+delay_chain = "logic_effort_dc"

compiler/router/tests/config_scn3me_subm.py

@@ -0,0 +1,23 @@
+word_size = 1
+num_words = 16
+num_banks = 1
+
+tech_name = "scn3me_subm"
+
+decoder = "hierarchical_decoder"
+ms_flop = "ms_flop"
+ms_flop_array = "ms_flop_array"
+control_logic = "control_logic"
+bitcell_array = "bitcell_array"
+sense_amp = "sense_amp"
+sense_amp_array = "sense_amp_array"
+precharge_array = "precharge_array"
+column_mux_array = "single_level_column_mux_array"
+write_driver = "write_driver"
+write_driver_array = "write_driver_array"
+tri_gate = "tri_gate"
+tri_gate_array = "tri_gate_array"
+wordline_driver = "wordline_driver"
+replica_bitcell = "replica_bitcell"
+bitcell = "bitcell"
+delay_chain = "logic_effort_dc"

compiler/router/tests/regress.py

@@ -0,0 +1,30 @@
+#!/usr/bin/env python2.7
+
+import re
+import unittest
+import sys,os
+sys.path.append(os.path.join(sys.path[0],".."))
+import globals
+
+(OPTS, args) = globals.parse_args()
+del sys.argv[1:]
+
+from testutils import header
+header(__file__, OPTS.tech_name)
+
+# get a list of all files in the tests directory
+files = os.listdir(sys.path[0])
+
+# assume any file that ends in "test.py" in it is a regression test
+nametest = re.compile("test\.py$", re.IGNORECASE)
+tests = filter(nametest.search, files)
+tests.sort()
+
+# import all of the modules
+filenameToModuleName = lambda f: os.path.splitext(f)[0]
+moduleNames = map(filenameToModuleName, tests)
+modules = map(__import__, moduleNames)
+suite = unittest.TestSuite()
+load = unittest.defaultTestLoader.loadTestsFromModule
+suite.addTests(map(load, modules))
+unittest.TextTestRunner(verbosity=2).run(suite)

compiler/vector.py

@@ -1,5 +1,5 @@
 import debug
-
+import math
 
 class vector():
     """
@@ -61,6 +61,7 @@ class vector():
         """
         return vector(self.x + other[0], self.y + other[1])
 
+
     def __radd__(self, other):
         """
         Override + function (right add)
@@ -99,3 +100,33 @@ class vector():
             y_factor=x_factor[1]
             x_factor=x_factor[0]
         return vector(self.y*x_factor,self.x*y_factor)
+
+    def floor(self):
+        """
+        Override floor function
+        """
+        return vector(int(math.floor(self.x)),int(math.floor(self.y)))
+
+    def ceil(self):
+        """
+        Override ceil function
+        """
+        return vector(int(math.ceil(self.x)),int(math.ceil(self.y)))
+
+    def __eq__(self, other):
+        """Override the default Equals behavior"""
+        if isinstance(other, self.__class__):
+            return self.__dict__ == other.__dict__
+        return False
+
+    def __ne__(self, other):
+        """Override the default non-equality behavior"""
+        return not self.__eq__(other)
+
+    def max(self, other):
+        """ Max of both values """
+        return vector(max(self.x,other.x),max(self.y,other.y))
+
+    def min(self, other):
+        """ Min of both values """
+        return vector(min(self.x,other.x),min(self.y,other.y))