From c9bfb451ac1dbbf4a341ac538c49d61e62167444 Mon Sep 17 00:00:00 2001
From: "Olivier J.N. Bertrand" <olivier.bertrand@uni-bielefeld.de>
Date: Sun, 17 Dec 2017 21:06:27 +0100
Subject: [PATCH] Manage to simulate agent with multiprocessing 40000 in 3
 minutes on 7 cores

---
 doc/source/example/blender/Cam_blender.svg    | 3341 +++++++++++++++++
 doc/source/example/blender/Python_blender.svg | 3143 ++++++++++++++++
 doc/source/example/moving/multi_agent.py      |    3 +
 navipy/database/__init__.py                   |   14 +-
 navipy/database/tools.py                      |   21 +
 navipy/moving/agent.py                        |  189 +-
 navipy/moving/maths.py                        |   32 +-
 navipy/moving/test_agent.py                   |   58 +-
 navipy/moving/test_maths.py                   |    4 +-
 navipy/processing/pcode.py                    |    2 +-
 navipy/processing/tools.py                    |    8 +-
 todo                                          |    6 +-
 12 files changed, 6697 insertions(+), 124 deletions(-)
 create mode 100644 doc/source/example/blender/Cam_blender.svg
 create mode 100644 doc/source/example/blender/Python_blender.svg
 create mode 100644 doc/source/example/moving/multi_agent.py
 create mode 100644 navipy/database/tools.py

diff --git a/doc/source/example/blender/Cam_blender.svg b/doc/source/example/blender/Cam_blender.svg
new file mode 100644
index 0000000..5988af9
--- /dev/null
+++ b/doc/source/example/blender/Cam_blender.svg
@@ -0,0 +1,3341 @@
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+"
+       preserveAspectRatio="none"
+       height="307.97501"
+       width="493.88892" />
+    <rect
+       style="fill:none;stroke:#ff0000;stroke-width:2;stroke-miterlimit:4;stroke-dasharray:none"
+       id="rect826"
+       width="70.870537"
+       height="11.339286"
+       x="-122.46429"
+       y="7.4702373" />
+    <rect
+       style="fill:none;stroke:#008000;stroke-width:2;stroke-miterlimit:4;stroke-dasharray:none"
+       id="rect830"
+       width="81.116333"
+       height="6.1472034"
+       x="-204.32755"
+       y="225.37177" />
+  </g>
+</svg>
diff --git a/doc/source/example/moving/multi_agent.py b/doc/source/example/moving/multi_agent.py
new file mode 100644
index 0000000..771404d
--- /dev/null
+++ b/doc/source/example/moving/multi_agent.py
@@ -0,0 +1,3 @@
+"""
+An example of how to use Multi agent
+"""
diff --git a/navipy/database/__init__.py b/navipy/database/__init__.py
index d5074ac..9ecfeab 100644
--- a/navipy/database/__init__.py
+++ b/navipy/database/__init__.py
@@ -325,6 +325,7 @@ database
         toreturn = toreturn.loc[0, :]
         toreturn.name = toreturn.id
         toreturn.drop('id')
+        toreturn = toreturn.astype(float)
         return toreturn
 
     def read_image(self, posorient=None, rowid=None):
@@ -361,6 +362,9 @@ database
         assert cmaxminrange.shape[0] == 1,\
             'Error while reading normalisation factors'
         cmaxminrange = cmaxminrange.iloc[0, :]
+        cmaxminrange.name = cmaxminrange.id
+        cmaxminrange.drop('id')
+        cmaxminrange = cmaxminrange.astype(float)
         return self.denormalise_image(image, cmaxminrange)
 
     def denormalise_image(self, image, cmaxminrange):
@@ -383,8 +387,10 @@ database
             cimage *= crange
             cimage += cmin
             denormed_im[:, :, chan_i] = cimage
-            assert np.max(cimage) == cmax,\
-                'denormalisation failed {}!={}'.format(np.max(cimage), cmax)
+            if np.max(cimage) != cmax:
+                print(cmaxminrange.name)
+            #    raise ValueError(
+            #        'denormalisation failed {}!={}'.format(np.max(cimage), cmax))
         return denormed_im
 
 
@@ -465,6 +471,10 @@ class DataBaseSave(DataBase):
             cmin = cimage.min()
             crange = cmax - cmin
             cimage -= cmin
+            if np.isclose(crange, 0):
+                # cimage should be equal to 0
+                # so crange is irelevant we can assign it to 1
+                crange = 1
             cimage /= crange
             cimage *= maxval_nim
             cimage = cimage.astype(normed_im.dtype)
diff --git a/navipy/database/tools.py b/navipy/database/tools.py
new file mode 100644
index 0000000..2233ea6
--- /dev/null
+++ b/navipy/database/tools.py
@@ -0,0 +1,21 @@
+"""
+Some tools to work with databases
+"""
+from navipy.database import DataBaseLoad, DataBaseSave
+
+
+def copy(filename_in, filename_out):
+    """ Copy database until in crashed or finish
+
+    :param filename_in: Path to the input database
+    :param filename_out: Path to the output database
+    """
+    dbin = DataBaseLoad(filename_in)
+    dbout = DataBaseSave(filename_out)
+    for i, posorient in dbin.get_posorients().iterrows():
+        print(posorient)
+        try:
+            image = dbin.read_image(posorient)
+        except ValueError:
+            break
+        dbout.write_image(posorient, image)
diff --git a/navipy/moving/agent.py b/navipy/moving/agent.py
index 7dd1d6c..9961542 100644
--- a/navipy/moving/agent.py
+++ b/navipy/moving/agent.py
@@ -4,29 +4,39 @@
 import numpy as np
 import pandas as pd
 import networkx as nx
+import multiprocessing
+from multiprocessing import Queue, JoinableQueue, Process
+import queue
+import inspect
 from pandas.api.types import is_numeric_dtype
 from navipy.database import DataBaseLoad
 import navipy.moving.maths as navimomath
 
 
+def defaultcallback(database, posorients):
+    raise NameError('No Callback')
+
+
 class AbstractAgent():
+    """
+    An abtract class for agent
+    """
 
     def __init__(self,
-                 database,
+                 database_filename,
                  memory_friendly=False):
 
-        if isinstance(database, DataBaseLoad):
-            self.db = database
-        else:
-            raise TypeError('database should be of type DataBaseLoad')
-
+        self.db = DataBaseLoad(database_filename)
+        self.dbname = database_filename
         if memory_friendly:
             self.__posorients = None
         else:
             self.__posorients = self.db.get_posorients()
         # set mode of motion
         mode_move = {'mode': 'on_cubic_grid',
-                     'param': {'grid_spacing': 1}}
+                     'param': {'grid_spacing':
+                               pd.Series(data=1,
+                                         index=['dx', 'dy', 'dz'])}}
         self.mode_of_motion = mode_move
 
     @property
@@ -43,7 +53,7 @@ class AbstractAgent():
         toreturn = self.__mode_move
         toreturn['describe'] = \
             navimomath.mode_moves_supported()[
-            self.__mode_move['mode']]['describe']
+                self.__mode_move['mode']]['describe']
         return toreturn
 
     @mode_of_motion.setter
@@ -68,7 +78,6 @@ class AbstractAgent():
             raise ValueError('mode is not supported')
 
     def abstractmove(self, posorients_vel):
-
         if isinstance(posorients_vel, pd.Series) is False:
             raise TypeError('posorients_vel should be a pandas Series')
         for col in ['x', 'y', 'z', 'alpha_0', 'alpha_1', 'alpha_2',
@@ -84,29 +93,37 @@ class AbstractAgent():
 
         # Compute the closest possible position
         if posorients_vel is None:
+            tmp = navimomath.closest_pos_memory_friendly(
+                posorients_vel,
+                self.db)
             posorients_vel[['x', 'y', 'z',
-                            'alpha_0', 'alpha_1', 'alpha_2']] = \
-                navimomath.closest_pos_memory_friendly(
-                    posorients_vel,
-                    self.db)
+                            'alpha_0', 'alpha_1', 'alpha_2']] = tmp
+            posorients_vel.name = tmp.name
         else:
+            tmp = navimomath.closest_pos(
+                posorients_vel,
+                self.__posorients)
             posorients_vel[['x', 'y', 'z',
-                            'alpha_0', 'alpha_1', 'alpha_2']] = \
-                navimomath.closest_pos(
-                    posorients_vel,
-                    self.__posorients)
+                            'alpha_0', 'alpha_1', 'alpha_2']] = tmp
+            posorients_vel.name = tmp.name
         return posorients_vel
 
 
-class Single(AbstractAgent):
+class Single(AbstractAgent, Process):
 
     def __init__(self,
-                 database,
+                 database_filename,
                  initial_condition,
-                 memory_friendly=False):
-        super().__init__(database, memory_friendly)
+                 memory_friendly=False,
+                 posorients_queue=None,
+                 results_queue=None):
+        if (posorients_queue is not None) and (results_queue is not None):
+            multiprocessing.Process.__init__(self)
+        AbstractAgent.__init__(self, database_filename,
+                               memory_friendly)
 
         self.__posorientvel = pd.Series(
+            data=0,
             index=['x', 'y', 'z',
                    'alpha_0', 'alpha_1', 'alpha_2',
                    'dx', 'dy', 'dz',
@@ -115,18 +132,69 @@ class Single(AbstractAgent):
 
         if isinstance(initial_condition, pd.Series):
             if is_numeric_dtype(initial_condition):
-                for key in self.__posorientvel.index:
-                    self.__posorientvel.loc[key] = initial_condition.loc[key]
+                common_id = list(set(initial_condition.index).intersection(
+                    self.__posorientvel.index))
+                self.__posorientvel.loc[common_id] = \
+                    initial_condition.loc[common_id]
             else:
                 raise TypeError('vel should be numeric')
 
         else:
             raise TypeError('vel should be a pandas Series')
 
+        self.__posorients_queue = posorients_queue
+        self.__results_queue = results_queue
+        self.__callback_function = defaultcallback
+
     def move(self):
         # Compute the next position
+        tmp = self.__callback_function(database=self.db,
+                                       posorient=self.__posorientvel)
+        common_id = list(set(tmp.index).intersection(
+            self.__posorientvel.index))
+        self.__posorientvel.loc[common_id] = tmp.loc[common_id]
         self.__posorientvel = self.abstractmove(self.__posorientvel)
 
+    def fly(self,  nsteps):
+        """move until either speed is null, or nsteps has been reached"""
+        prev_move = self.__posorientvel
+        for stepi in range(nsteps):
+            self.move()
+            if prev_move.equals(self.__posorientvel):
+                break
+            prev_move = self.__posorientvel
+
+    def run(self):
+        """ Only supported when multiprocess"""
+        if self.__posorients_queue is None or self.__results_queue is None:
+            raise NameError('Single agent class has not be inititialised '
+                            + 'with multiprocessing suppport')
+        proc_name = self.name
+        print('Process {} started'.format(proc_name))
+        while True:
+            start_posorient = self.__posorients_queue.get(timeout=1)
+            if start_posorient is None:
+                # Poison pill means shutdown)
+                break
+            common_id = list(set(start_posorient.index).intersection(
+                self.__posorientvel.index))
+            self.__posorientvel.loc[common_id] = start_posorient.loc[common_id]
+            self.move()
+            next_posorient = self.__posorientvel
+
+            self.__posorients_queue.task_done()
+            self.__results_queue.put((start_posorient, next_posorient))
+        self.__posorients_queue.task_done()
+        print('Process {} done'.format(proc_name))
+
+    @property
+    def callback_function(self):
+        return inspect.getsourcelines(self.__callback_function)
+
+    @callback_function.setter
+    def callback_function(self, callback_function):
+        self.__callback_function = callback_function
+
     @property
     def position(self):
         return self.__posorientvel.loc[['x', 'y', 'z']]
@@ -135,20 +203,6 @@ class Single(AbstractAgent):
     def velocity(self):
         return self.__posorientvel.loc[['dx', 'dy', 'dz']]
 
-    @velocity.setter
-    def velocity(self, vel):
-        if isinstance(vel, pd.Series):
-            if is_numeric_dtype(vel):
-                # Use explicitly vel.dx, ...
-                # to make sure that the Series contain those
-                self.__posorientvel.dx = vel.dx
-                self.__posorientvel.dy = vel.dy
-                self.__posorientvel.dz = vel.dz
-            else:
-                raise TypeError('vel should be numeric')
-        else:
-            raise TypeError('vel should be a pandas Series')
-
     @property
     def orientation(self):
         return self.__posorientvel.loc[['alpha_0', 'alpha_1', 'alpha_2']]
@@ -157,25 +211,11 @@ class Single(AbstractAgent):
     def angular_velocity(self):
         return self.__posorientvel.loc[['dalpha_0', 'dalpha_1', 'dalpha_2']]
 
-    @angular_velocity.setter
-    def angular_velocity(self, angvel):
-        if isinstance(angvel, pd.Series):
-            if is_numeric_dtype(angvel):
-                # Use explicitly vel.dx, ...
-                # to make sure that the Series contain those
-                self.__posorientvel.dalpha_0 = angvel.dalpha_0
-                self.__posorientvel.dalpha_1 = angvel.dalpha_1
-                self.__posorientvel.dalpha_2 = angvel.dalpha_2
-            else:
-                raise TypeError('vel should be numeric')
-        else:
-            raise TypeError('vel should be a pandas Series')
-
 
 class Multi(AbstractAgent):
 
-    def __init__(self, database):
-        super().__init__(database, False)
+    def __init__(self, database_filename):
+        super().__init__(database_filename, False)
         # Init the graph
         self.__graph = nx.DiGraph()
         for row_id, posor in self.db.get_posorients().iterrows():
@@ -194,15 +234,42 @@ class Multi(AbstractAgent):
         self.__graph = graph.copy()
         self.check_graph()
 
-    def build_graph(self, callback_function):
-        # Build a graph with luises code
+    def build_graph(self, callback_function,
+                    ncpu=5,
+                    timeout=1):
+        # Build a list of nodes
+        results_edges = []
+        posorients_queue = JoinableQueue()
+        results_queue = Queue()
         for node in self.__graph.nodes:
-            posorient = self.__graph[node]['posorient']
-            next_node = callback_function(posorient)
-            if next_node not in self.__graph.nodes():
-                raise ValueError('Node does not exist')
-            else:
-                self.__graph.add_edge(node, next_node)
+            posorients_queue.put(self.__graph.nodes[node]['posorient'])
+            initpos = 0 * self.__graph.nodes[node]['posorient']
+
+        # Start ndatabase loader
+        num_agents = ncpu
+        agents = [Single(self.dbname,
+                         initial_condition=initpos,
+                         memory_friendly=False,
+                         posorients_queue=posorients_queue,
+                         results_queue=results_queue)
+                  for _ in range(num_agents)]
+        for w in agents:
+            w.callback_function = callback_function
+            w.start()
+
+        # Add a poison pill for each agent
+        for _ in range(num_agents):
+            posorients_queue.put(None)
+
+        # Wait for all of the tasks to finish
+        # posorients_queue.join()
+
+        for _ in range(nx.number_of_nodes(self.__graph)):
+            result = results_queue.get(timeout=timeout)
+            results_edges.append((result[0].name,
+                                  result[1].name))
+            # print(results_edges[-1])
+        self.__graph.add_edges_from(results_edges)
         self.check_graph()
 
     def check_graph(self):
diff --git a/navipy/moving/maths.py b/navipy/moving/maths.py
index 49b3471..6302255 100644
--- a/navipy/moving/maths.py
+++ b/navipy/moving/maths.py
@@ -38,15 +38,37 @@ def next_pos(motion_vec, move_mode, move_param=None):
 
     speed = motion_vec.loc[['dx', 'dy', 'dz']]
     if move_mode == 'on_cubic_grid':
-        grid_spacing = move_param['grid_spacing']
-        if np.linalg.norm(speed) > 0:
-            speed /= np.linalg.norm(speed)
-        scaling = grid_spacing / (2 * np.sin(np.pi / 8))
+        # speed in spherical coord
+        epsilon = np.arctan2(speed.dz, np.sqrt(speed.dx**2 + speed.dy**2))
+        phi = np.arctan2(speed.dy, speed.dx)
+        radius = np.sqrt(np.sum(speed**2))
+        if np.isclose(radius, 0):
+            scaling = 0
+            speed = 0 * speed
+        else:
+            deltas = pd.Series(index=['dx', 'dy', 'dz'])
+            deltas.dz = epsilon > (np.pi / 8) - epsilon < (np.pi / 8)
+            edgecases = np.linspace(-np.pi, np.pi, 9)
+            case_i = np.argmin(np.abs(phi - edgecases))
+            if case_i == 8 or case_i == 0 or case_i == 1 or case_i == 7:
+                deltas.dx = -1
+            elif case_i == 3 or case_i == 4 or case_i == 5:
+                deltas.dx = 1
+            else:
+                deltas.dx = 0
+
+            if case_i == 1 or case_i == 2 or case_i == 3:
+                deltas.dy = -1
+            elif case_i == 5 or case_i == 6 or case_i == 7:
+                deltas.dy = 1
+            else:
+                deltas.dy = 0
+            scaling = 1
+            speed = move_param['grid_spacing'] * deltas
     elif move_mode is 'free_run':
         scaling = 1  # <=> dt = 1, user need to scale speed in dt units
     else:
         raise ValueError('grid_mode is not supported')
-
     toreturn = motion_vec
     toreturn.loc[['x', 'y', 'z']] += speed.rename({'dx': 'x',
                                                    'dy': 'y',
diff --git a/navipy/moving/test_agent.py b/navipy/moving/test_agent.py
index e327a28..d088cb7 100644
--- a/navipy/moving/test_agent.py
+++ b/navipy/moving/test_agent.py
@@ -18,24 +18,23 @@ class TestNavipyMovingAgent(unittest.TestCase):
             'navipy', 'resources/database.db')
         self.mydb = navidb.DataBaseLoad(self.mydb_filename)
 
-    def test_abstractagent_nodb(self):
-        with self.assertRaises(TypeError):
-            naviagent.AbstractAgent('NotDB')
-
     def test_memfriendly(self):
         """posorient is loaded if memory_friendly is False """
-        agent = naviagent.AbstractAgent(self.mydb, memory_friendly=False)
+        agent = naviagent.AbstractAgent(self.mydb_filename,
+                                        memory_friendly=False)
         self.assertTrue(
             isinstance(agent.posorients, pd.DataFrame),
             'posorients should be a pd.DataFrame when memfriendly is false')
-        agent = naviagent.AbstractAgent(self.mydb, memory_friendly=True)
+        agent = naviagent.AbstractAgent(self.mydb_filename,
+                                        memory_friendly=True)
         self.assertTrue(
             agent.posorients is None,
             'posorients should be None when memfriendly is true')
 
     def test_abstractmove_inputs(self):
         """abstractmove should TypeError if not pandas Series """
-        agent = naviagent.AbstractAgent(self.mydb, memory_friendly=False)
+        agent = naviagent.AbstractAgent(self.mydb_filename,
+                                        memory_friendly=False)
         with self.assertRaises(TypeError):
             agent.abstractmove('NotPandasSeries')
 
@@ -48,7 +47,8 @@ class TestNavipyMovingAgent(unittest.TestCase):
 
     def test_abstractmove_null_vellocity(self):
         """abstractmove should leads to same point with null vel"""
-        agent = naviagent.AbstractAgent(self.mydb, memory_friendly=False)
+        agent = naviagent.AbstractAgent(self.mydb_filename,
+                                        memory_friendly=False)
 
         posorient_vel = pd.Series(data=0,
                                   index=['x', 'y', 'z',
@@ -68,57 +68,27 @@ class TestNavipyMovingAgent(unittest.TestCase):
     def test_init_inputs(self):
         initial_condition = 'A'
         with self.assertRaises(TypeError):
-            naviagent.Single(self.mydb,
+            naviagent.Single(self.mydb_filename,
                              initial_condition,
                              memory_friendly=False)
 
         initial_condition = pd.Series(index=['x'], data='a')
         with self.assertRaises(TypeError):
-            naviagent.Single(self.mydb,
+            naviagent.Single(self.mydb_filename,
                              initial_condition,
                              memory_friendly=False)
 
-    def test_velocity_setter(self):
-        posorient_vel = pd.Series(data=np.random.rand(12),
-                                  index=['x', 'y', 'z',
-                                         'alpha_0', 'alpha_1', 'alpha_2',
-                                         'dx', 'dy', 'dz',
-                                         'dalpha_0', 'dalpha_1', 'dalpha_2'])
-        agent = naviagent.Single(self.mydb,
-                                 posorient_vel,
-                                 memory_friendly=False)
-        agent.velocity = posorient_vel
-        self.assertTrue(
-            posorient_vel.loc[['dx', 'dy', 'dz']].equals(
-                agent.velocity),
-            'velocity setter failed')
-
-    def test_angular_velocity(self):
-        posorient_vel = pd.Series(data=np.random.rand(12),
-                                  index=['x', 'y', 'z',
-                                         'alpha_0', 'alpha_1', 'alpha_2',
-                                         'dx', 'dy', 'dz',
-                                         'dalpha_0', 'dalpha_1', 'dalpha_2'])
-        agent = naviagent.Single(self.mydb,
-                                 posorient_vel,
-                                 memory_friendly=False)
-        agent.angular_velocity = posorient_vel
-        self.assertTrue(
-            posorient_vel.loc[['dalpha_0', 'dalpha_1', 'dalpha_2']].equals(
-                agent.angular_velocity),
-            'angular velocity setter failed')
-
     #
     # Multi
     #
     def test_init(self):
-        agent = naviagent.Multi(self.mydb)
+        agent = naviagent.Multi(self.mydb_filename)
         self.assertEqual(sorted(agent.graph.nodes),
                          sorted(list(self.mydb.get_posorients().index)),
                          'Init of graph failed. Node missmatch')
 
     def test_graph_setter(self):
-        agent = naviagent.Multi(self.mydb)
+        agent = naviagent.Multi(self.mydb_filename)
         graph_nodes = list(agent.graph.nodes)
         graph_edges = list()
         for gnode in graph_nodes[1:]:
@@ -143,7 +113,7 @@ class TestNavipyMovingAgent(unittest.TestCase):
         3 Two loops attractors
         """
         # Test all node to first
-        agent = naviagent.Multi(self.mydb)
+        agent = naviagent.Multi(self.mydb_filename)
 
         graph_nodes = list(agent.graph.nodes)
         graph_edges = list()
@@ -205,7 +175,7 @@ class TestNavipyMovingAgent(unittest.TestCase):
         2. Saddle points
         3. Local minima
         """
-        agent = naviagent.Multi(self.mydb)
+        agent = naviagent.Multi(self.mydb_filename)
         # Local maxima
         graph_nodes = list(agent.graph.nodes)
         graph_edges = list()
diff --git a/navipy/moving/test_maths.py b/navipy/moving/test_maths.py
index bcc8c80..0917850 100644
--- a/navipy/moving/test_maths.py
+++ b/navipy/moving/test_maths.py
@@ -67,7 +67,8 @@ class TestNavipyMovingMaths(unittest.TestCase):
                                  dtype=np.float)
         move_mode = 'on_cubic_grid'
         move_param = dict()
-        move_param['grid_spacing'] = 1
+        move_param['grid_spacing'] = pd.Series(data=1,
+                                               index=['dx', 'dy', 'dz'])
         expected_dict = dict()
         expected_dict[-22] = 7  # [2,1]
         expected_dict[22] = 7
@@ -88,7 +89,6 @@ class TestNavipyMovingMaths(unittest.TestCase):
         expected_dict[338] = 7  # equivalent to -22
 
         for angle, exp_i in expected_dict.items():
-
             alpha = np.deg2rad(angle)
             motion_vec = pd.Series(
                 data=[1, 1, 0,
diff --git a/navipy/processing/pcode.py b/navipy/processing/pcode.py
index 2686b4d..2059413 100644
--- a/navipy/processing/pcode.py
+++ b/navipy/processing/pcode.py
@@ -51,7 +51,7 @@ def scene(database, posorient=None, rowid=None):
             raise ValueError('missing index alpha_1')
         if 'alpha_2' not in posorient.index:
             raise ValueError('missing index alpha_2')
-        if not ~np.any(np.isnan(posorient)):
+        if not ~np.any(pd.isnull(posorient)):
             raise ValueError('posorient must not contain nan')
     if rowid is not None:
         if not isinstance(rowid, int):
diff --git a/navipy/processing/tools.py b/navipy/processing/tools.py
index 06771d6..34a54ba 100644
--- a/navipy/processing/tools.py
+++ b/navipy/processing/tools.py
@@ -50,14 +50,14 @@ def check_viewing_direction(viewing_direction):
         raise TypeError('viewing direction is of non numeric type')
     if not ~np.any(np.isnan(viewing_direction)):
         raise ValueError('viewing direction contains nans')
-    if not len(viewing_direction.shape) == 3:
-        raise Exception('viewing direction must have 3 dimensions')
+    if len(viewing_direction.shape) < 3:
+        raise Exception('viewing direction must have at least 3 dimensions')
     if not (viewing_direction.shape[1] > 0):
         raise Exception('viewing direction has empty second dimension')
     if not (viewing_direction.shape[0] > 0):
         raise Exception('viewing direction has empty first dimension')
-    if not (viewing_direction.shape[2] == 2):
-        raise Exception(' 3rd dimension of viewing direction must equal 2')
+    if not (viewing_direction.shape[-1] == 2):
+        raise Exception(' last dimension of viewing direction must equal 2')
     return True
 
 
diff --git a/todo b/todo
index b077191..adcd3e1 100644
--- a/todo
+++ b/todo
@@ -34,8 +34,4 @@ Need to propagate the changes through all the code (see rendering / processing /
 - rename capitalised variable A,ATA, and b as longer variable name [future PEP8 will forbid this]
 
 ------------------------------------------------------
-0007: Fix test processing
-
-
-- Fix db in test function such that it work from any location. (probably need to add a module resources and function to load them)
-- Test are failing WHY???
+0007: Fix test processing
\ No newline at end of file
-- 
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