MeanFIreRate_AverageofTrails.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "0uRl4tX-gPo2"
   },
   "outputs": [],
   "source": [
    "import spynnaker8 as p\n",
    "import pyNN.spiNNaker as sim\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from numpy import *\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "7I1s_t3lgPo8",
    "outputId": "30ce9005-0970-4cc1-a981-b93dd013f672"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2021-06-11 20:30:11 INFO: Read cfg files: /home/spinnaker/sPyNNakerGit/SpiNNFrontEndCommon/spinn_front_end_common/interface/spinnaker.cfg, /home/spinnaker/sPyNNakerGit/sPyNNaker/spynnaker/pyNN/spynnaker.cfg, /home/spinnaker/.spynnaker.cfg\n",
      "2021-06-11 20:30:11 INFO: Will search these locations for binaries: /home/spinnaker/sPyNNakerGit/SpiNNFrontEndCommon/spinn_front_end_common/common_model_binaries : /home/spinnaker/sPyNNakerGit/sPyNNaker/spynnaker/pyNN/model_binaries\n",
      "2021-06-11 20:30:11 WARNING: /home/spinnaker/work/reports has 39 old reports that have not been closed\n",
      "2021-06-11 20:30:11 WARNING: A timestep was entered that has forced sPyNNaker to automatically slow the simulation down from real time by a factor of 10. To remove this automatic behaviour, please enter a timescaleFactor value in your .spynnaker.cfg\n",
      "2021-06-11 20:30:11 INFO: Setting time scale factor to 10.\n",
      "2021-06-11 20:30:11 INFO: Setting machine time step to 100 micro-seconds.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['/home/spinnaker/sPyNNakerGit/SpiNNFrontEndCommon/spinn_front_end_common/interface/spinnaker.cfg', '/home/spinnaker/sPyNNakerGit/sPyNNaker/spynnaker/pyNN/spynnaker.cfg', '/home/spinnaker/.spynnaker.cfg']\n"
     ]
    }
   ],
   "source": [
    "start_time = time.time()\n",
    "simulation_time_step = 0.1\n",
    "sim.setup(timestep = simulation_time_step)\n",
    "TotalDuration = 1000.0\n",
    "time_resol = 0.1\n",
    "TimeInt = 1.0 / time_resol\n",
    "TotalDataPoints = int(TotalDuration * TimeInt)\n",
    "rate_Poisson_Inp_base = 25\n",
    "bin_size = 1\n",
    "bin_number = 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "IfbrwQDYgPo-"
   },
   "outputs": [],
   "source": [
    "NumCells_exc = 80\n",
    "NumCells_inh = 20\n",
    "NumCells_extSource = 80"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "OwuVVqTIgPo-"
   },
   "outputs": [],
   "source": [
    "# Synaptic Conn params\n",
    "conn_delay = 1.0\n",
    "conn_weights = 5.0\n",
    "conn_prob = 0.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "vPFpTo0igPo_"
   },
   "outputs": [],
   "source": [
    "# excitatory cell params\n",
    "exc_a_tonic = 0.02\n",
    "exc_b_tonic = 0.2\n",
    "exc_c_tonic = -65.0\n",
    "exc_d_tonic = 6.0\n",
    "exc_v_init_tonic = -65.0\n",
    "exc_u_init_tonic = exc_b_tonic * exc_v_init_tonic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "fdX3n93ygPo_"
   },
   "outputs": [],
   "source": [
    "# inhibitory cell params\n",
    "inh_a_tonic = 0.1\n",
    "inh_b_tonic = 0.2\n",
    "inh_c_tonic = -65.0\n",
    "inh_d_tonic = 6.0\n",
    "inh_v_init_tonic = -70.0\n",
    "inh_u_init = inh_b_tonic * inh_v_init_tonic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "XeSldNnAgPpA"
   },
   "outputs": [],
   "source": [
    "# Time constants\n",
    "tau_exc = 1.7\n",
    "\n",
    "tau_inh = 2.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "2w6JLPHugPpA"
   },
   "outputs": [],
   "source": [
    "# DC bias current\n",
    "current_Pulse = 3.0\n",
    "exc_cell_params = {\n",
    "'a': exc_a_tonic, 'b': exc_b_tonic, \n",
    "'c': exc_c_tonic, 'd': exc_d_tonic,\n",
    "#'v_init': exc_v_init_tonic, 'u_init': exc_u_init_tonic,\n",
    "'tau_syn_E': tau_exc, 'tau_syn_I': tau_inh,\n",
    "'i_offset': current_Pulse\n",
    "               }\n",
    "\n",
    "inh_cell_params = {\n",
    "    'a' : inh_a_tonic, 'b': inh_b_tonic,\n",
    "    \n",
    "    'c': inh_c_tonic, 'd': inh_d_tonic,\n",
    "    #'v_init' : inh_v_init_tonic,'u_init' : inh_u_init,\n",
    "    'tau_syn_E' : tau_exc, 'tau_syn_I':tau_inh,\n",
    "    'i_offset' : current_Pulse\n",
    "               }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "id": "uuKx6GhFgPpB"
   },
   "outputs": [],
   "source": [
    "external_spike_source_pop = p.Population(NumCells_extSource,p.SpikeSourcePoisson,{'rate': rate_Poisson_Inp_base,'duration': 1000,'start': 100},label='spike_source_poisson')\n",
    "exc_pop = p.Population(NumCells_exc, p.Izhikevich(**exc_cell_params), label='exc_pop')\n",
    "inh_pop = p.Population(NumCells_inh, p.Izhikevich(**inh_cell_params), label='inh_pop')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "e37FujqLgPpC"
   },
   "outputs": [],
   "source": [
    "#external to excitatory\n",
    "Proj00 = p.Projection(external_spike_source_pop, exc_pop, p.FixedProbabilityConnector(p_connect=0.5),p.StaticSynapse(weight=conn_weights, delay=conn_delay), receptor_type='excitatory')\n",
    "\n",
    "#external to inhibitory\n",
    "Proj01 = p.Projection(external_spike_source_pop, inh_pop, p.FixedProbabilityConnector(p_connect=0.5),p.StaticSynapse(weight=conn_weights, delay=conn_delay), receptor_type='excitatory')\n",
    "\n",
    "#excitatory to inhibitory\n",
    "Proj02 = p.Projection(exc_pop, inh_pop, p.FixedProbabilityConnector(p_connect=conn_prob),p.StaticSynapse(weight=conn_weights, delay=conn_delay), receptor_type='excitatory')\n",
    "\n",
    "#inhibitory to excitatory\n",
    "Proj03 = p.Projection(inh_pop, exc_pop, p.FixedProbabilityConnector(p_connect=conn_prob),p.StaticSynapse(weight=conn_weights, delay=conn_delay), receptor_type='inhibitory')\n",
    "\n",
    "#inhibitory to inhibitory\n",
    "Proj04 = p.Projection(inh_pop, inh_pop, p.FixedProbabilityConnector(p_connect=conn_prob),p.StaticSynapse(weight=conn_weights, delay=conn_delay), receptor_type='inhibitory')\n",
    "\n",
    "#excitatory to excitatory\n",
    "Proj05 = p.Projection(exc_pop, exc_pop, p.FixedProbabilityConnector(p_connect=conn_prob),p.StaticSynapse(weight=conn_weights, delay=conn_delay), receptor_type='excitatory')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "oZn5vpP2gPpC",
    "outputId": "f841c7a5-4ae7-4ff9-8630-bf1e355c2896"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2021-06-11 20:30:11 INFO: Starting execution process\n",
      "2021-06-11 20:30:11 INFO: Simulating for 10000 0.1ms timesteps using a hardware timestep of 10us\n",
      "2021-06-11 20:30:14 INFO: Time 0:00:03.012209 taken by SpallocMaxMachineGenerator\n",
      "Pre allocating resources for Extra Monitor support vertices\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:22 INFO: Time 0:00:08.283133 taken by PreAllocateResourcesForExtraMonitorSupport\n",
      "Partitioning graph vertices\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Partitioning graph edges\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:27 INFO: Time 0:00:04.775137 taken by PartitionAndPlacePartitioner\n",
      "Created spalloc job 6011578\n",
      "2021-06-11 20:30:27 INFO: Created spalloc job 6011578\n",
      "Waiting for board power commands to complete.\n",
      "2021-06-11 20:30:27 INFO: Waiting for board power commands to complete.\n",
      "2021-06-11 20:30:32 INFO: Time 0:00:05.052291 taken by SpallocAllocator\n",
      "2021-06-11 20:30:32 INFO: Creating transceiver for 10.11.197.73\n",
      "2021-06-11 20:30:32 INFO: Working out if machine is booted\n",
      "2021-06-11 20:30:36 INFO: Attempting to boot machine\n",
      "2021-06-11 20:30:42 INFO: Found board with version [Version: SC&MP 3.3.0 at SpiNNaker:0:0:0 (built Mon May 11 13:46:47 2020)]\n",
      "2021-06-11 20:30:42 INFO: Machine communication successful\n",
      "2021-06-11 20:30:42 INFO: Detected a machine on IP address 10.11.197.73 which has 856 cores and 120.0 links\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:09.638856 taken by MachineGenerator\n",
      "Generating partitioner report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.008833 taken by PartitionerReport\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.000252 taken by NetworkSpecificationReport\n",
      "Allocating virtual identifiers\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.036901 taken by MallocBasedChipIDAllocator\n",
      "Inserting extra monitors into graphs\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.027331 taken by InsertExtraMonitorVerticesToGraphs\n",
      "Writing the board chip report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.014796 taken by BoardChipReport\n",
      "Filtering edges\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.023817 taken by GraphEdgeFilter\n",
      "Getting number of keys required by each edge using application graph\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.021793 taken by EdgeToNKeysMapper\n",
      "Placing graph vertices\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.034438 taken by OneToOnePlacer\n",
      "Inserting edges between vertices which require FR speed up functionality.\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.051244 taken by InsertEdgesToExtraMonitorFunctionality\n",
      "Generating routing tables for data in system processes\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.008430 taken by SystemMulticastRoutingGenerator\n",
      "Generating fixed router routes\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.010898 taken by FixedRouteRouter\n",
      "Generating placement report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Generating placement by core report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.051554 taken by PlacerReportWithApplicationGraph\n",
      "Routing\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.026531 taken by NerRoute\n",
      "Discovering tags\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Allocating tags\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.038599 taken by BasicTagAllocator\n",
      "Reporting Tags\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.009811 taken by TagReport\n",
      "Getting constraints for application graph\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.024084 taken by ProcessPartitionConstraints\n",
      "Allocating routing keys\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.014553 taken by MallocBasedRoutingInfoAllocator\n",
      "Generating Routing info report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.021496 taken by routingInfoReports\n",
      "Generating routing tables\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.025738 taken by BasicRoutingTableGenerator\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.001681 taken by RouterCollisionPotentialReport\n",
      "Finding executable start types\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.025674 taken by LocateExecutableStartType\n",
      "Initialising buffers\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.026283 taken by BufferManagerCreator\n",
      "Generating data specifications\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.085981 taken by SpynnakerDataSpecificationWriter\n",
      "Preparing Routing Tables\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.011472 taken by RoutingSetup\n",
      "Finding binaries\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.027411 taken by GraphBinaryGatherer\n",
      "Generating Router table report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.012913 taken by unCompressedRoutingTableReports\n",
      "loading fixed routes\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:42 INFO: Time 0:00:00.042939 taken by LoadFixedRoutes\n",
      "Executing data specifications and loading data for system vertices\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:44 INFO: Time 0:00:01.167736 taken by HostExecuteSystemDataSpecification\n",
      "Loading system executables onto the machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:49 INFO: Time 0:00:05.730170 taken by LoadSystemExecutableImages\n",
      "Clearing tags\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Loading Tags\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:49 INFO: Time 0:00:00.015681 taken by TagsLoader\n",
      "Writing data\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:49 INFO: Time 0:00:00.023784 taken by WriteMemoryIOData\n",
      "Executing data specifications and loading data for application vertices\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:49 INFO: Time 0:00:00.110178 taken by HostExecuteApplicationDataSpecification\n",
      "Expanding Synapses\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:30:53 INFO: Time 0:00:03.940815 taken by SynapseExpander\n",
      "Running bitfield generation on chip\n",
      "|0%                          50%                         100%|\n",
      " ==========================================================Extracting IOBUF from the machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "==\n",
      "2021-06-11 20:30:57 INFO: Time 0:00:03.406470 taken by OnChipBitFieldGenerator\n",
      "on chip compressing routing tables and merging in bitfields as appropriate\n",
      "|0%                          50%                         100%|\n",
      " ==========================================================Extracting IOBUF from the machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "==\n",
      "2021-06-11 20:31:04 INFO: rerunning synaptic expander\n",
      "Extracting IOBUF from the machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:11.106226 taken by SpynnakerMachineBitFieldRouterCompressor\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:00.000914 taken by BitFieldCompressorReport\n",
      "Reading Routing Tables from Machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:00.015224 taken by ReadRoutingTablesFromMachine\n",
      "Generating compressed router table report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:00.012027 taken by compressedRoutingTableReports\n",
      "Generating comparison of router table report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:00.008192 taken by comparisonOfRoutingTablesReport\n",
      "Generating Routing summary report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:00.034556 taken by CompressedRouterSummaryReport\n",
      "Reading Routing Tables from Machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:00.015913 taken by RoutingTableFromMachineReport\n",
      "Writing fixed route report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:08 INFO: Time 0:00:00.048751 taken by FixedRouteFromMachineReport\n",
      "Loading executables onto the machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:15 INFO: Time 0:00:07.169036 taken by LoadApplicationExecutableImages\n",
      "2021-06-11 20:31:15 INFO: Running for 1 steps for a total of 1000.0ms\n",
      "2021-06-11 20:31:15 INFO: Run 1 of 1\n",
      "Generating SDRAM usage report\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:15 INFO: Time 0:00:00.057270 taken by SdramUsageReportPerChip\n",
      "2021-06-11 20:31:15 INFO: creating live event connection database in /home/spinnaker/work/reports/2021-06-11-20-30-11-195132/run_1/input_output_database.db\n",
      "Creating graph description database\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:15 INFO: Time 0:00:00.055741 taken by DatabaseInterface\n",
      "2021-06-11 20:31:15 INFO: ** Notifying external sources that the database is ready for reading **\n",
      "2021-06-11 20:31:15 INFO: Time 0:00:00.001088 taken by CreateNotificationProtocol\n",
      "Getting provenance data from machine graph\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Getting provenance data from application graph\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:15 INFO: Time 0:00:00.071511 taken by GraphProvenanceGatherer\n",
      "Waiting for cores to be either in PAUSED or READY state\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Updating run time\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:15 INFO: Time 0:00:00.038855 taken by ChipRuntimeUpdater\n",
      "2021-06-11 20:31:15 INFO: *** Running simulation... *** \n",
      "Loading buffers\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:15 INFO: ** Awaiting for a response from an external source to state its ready for the simulation to start **\n",
      "2021-06-11 20:31:15 INFO: ** Sending start / resume message to external sources to state the simulation has started or resumed. **\n",
      "2021-06-11 20:31:15 INFO: ** Awaiting for a response from an external source to state its ready for the simulation to start **\n",
      "2021-06-11 20:31:15 INFO: Application started; waiting 10.1s for it to stop\n",
      "2021-06-11 20:31:26 INFO: ** Sending pause / stop message to external sources to state the simulation has been paused or stopped. **\n",
      "2021-06-11 20:31:26 INFO: Time 0:00:10.197148 taken by ApplicationRunner\n",
      "Extracting buffers from the last run\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:26 INFO: Time 0:00:00.785166 taken by BufferExtractor\n",
      "Extracting IOBUF from the machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:26 INFO: Time 0:00:00.045898 taken by ChipIOBufExtractor\n",
      "clearing IOBUF from the machine\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:26 INFO: Time 0:00:00.006948 taken by ChipIOBufClearer\n",
      "2021-06-11 20:31:26 INFO: Time 0:00:00.000098 taken by FinaliseTimingData\n",
      "Getting provenance data\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:26 INFO: Time 0:00:00.027949 taken by PlacementsProvenanceGatherer\n",
      "2021-06-11 20:31:26 INFO: Time 0:00:00.003220 taken by RedundantPacketCountReport\n",
      "Getting Router Provenance\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:27 INFO: Time 0:00:00.052873 taken by RouterProvenanceGatherer\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Getting profile data\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "2021-06-11 20:31:27 INFO: Time 0:00:00.025473 taken by ProfileDataGatherer\n",
      "2021-06-11 20:31:27 WARNING: spinnaker_get_data is non-standard PyNN and therefore may not be portable to other simulators. Nor do we guarantee that this function will exist in future releases.\n",
      "Getting spikes for spike_source_poisson\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Getting spikes for exc_pop\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Getting spikes for inh_pop\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Getting v for exc_pop\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n",
      "Getting v for inh_pop\n",
      "|0%                          50%                         100%|\n",
      " ============================================================\n"
     ]
    }
   ],
   "source": [
    "external_spike_source_pop.record(\"spikes\") #need to store external spike source records and need to print them\n",
    "exc_pop.record((\"spikes\", \"v\"))\n",
    "inh_pop.record((\"spikes\", \"v\"))\n",
    "p.run(TotalDuration)\n",
    "external_spike_source = external_spike_source_pop.spinnaker_get_data(\"spikes\")\n",
    "exc_spikes = exc_pop.spinnaker_get_data(\"spikes\")\n",
    "inh_spikes = inh_pop.spinnaker_get_data(\"spikes\")\n",
    "exc_voltage = exc_pop.spinnaker_get_data(\"v\")\n",
    "inh_voltage = inh_pop.spinnaker_get_data(\"v\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "xe6iWmw7gPpD",
    "outputId": "b418a35c-37e3-4fec-d5ac-ec996bd58118"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7277\n",
      "2922\n",
      "1832\n",
      "[[  0.   17.9]\n",
      " [  0.   19. ]\n",
      " [  0.   19.8]\n",
      " ...\n",
      " [ 19.  997.3]\n",
      " [ 19.  998.4]\n",
      " [ 19.  999.4]]\n"
     ]
    }
   ],
   "source": [
    "#print(exc_spikes) #print length of source spike data\n",
    "print(len(exc_spikes))\n",
    "#print(inh_spikes)\n",
    "print(len(inh_spikes))\n",
    "print(len(external_spike_source))\n",
    "print(inh_spikes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "Zqsb5VAsgPpI"
   },
   "outputs": [],
   "source": [
    "per_bin_points = int(bin_size/simulation_time_step)\n",
    "Total_bins = TotalDataPoints//per_bin_points\n",
    "spike_count_list = []\n",
    "bin_list = []\n",
    "for i in range(Total_bins + 1):\n",
    "    spike_count_list.append(0)\n",
    "for i in range(len(exc_spikes)):\n",
    "    time_instance = int(exc_spikes[i][1]/bin_size)\n",
    "    spike_count_list[time_instance] = spike_count_list[time_instance] + 1\n",
    "for i in range(Total_bins + 1):\n",
    "    bin_list.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "id": "JsNTiDf7gPpI",
    "outputId": "9268eae0-de0d-4d7c-e973-8bdde2ff6ddd"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(1)\n",
    "plt.plot(bin_list,spike_count_list,color = 'red')\n",
    "plt.xlabel('Bins')\n",
    "plt.ylabel('Spikes')\n",
    "plt.title('Excitatory PSTH graph')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "id": "SnN58SSIgPpJ"
   },
   "outputs": [],
   "source": [
    "inh_spike_count_list = []\n",
    "inh_bin_list = []\n",
    "for i in range(Total_bins+1):\n",
    "    inh_spike_count_list.append(0)\n",
    "for i in range(len(inh_spikes)):\n",
    "    inh_time_instance = int(inh_spikes[i][1] / bin_size)\n",
    "    inh_spike_count_list[inh_time_instance] = inh_spike_count_list[inh_time_instance] + 1\n",
    "for i in range(Total_bins+1):\n",
    "    inh_bin_list.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "id": "x3BoyLbbgPpJ",
    "outputId": "65d099fa-bcde-4c9c-ce15-4e1c8406579c"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(2)\n",
    "plt.plot(inh_bin_list,inh_spike_count_list,color = 'blue')\n",
    "plt.xlabel('Bins')\n",
    "plt.ylabel('Spikes')\n",
    "plt.title('Inhibitory PSTH graph')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "id": "wHojXIQTgPpK"
   },
   "outputs": [],
   "source": [
    "external_spike_count_list = []\n",
    "external_bin_list = []\n",
    "for i in range(Total_bins + 1):\n",
    "    external_spike_count_list.append(0)\n",
    "for i in range(len(external_spike_source)):\n",
    "    external_time_instance = int(external_spike_source[i][1]/bin_size)\n",
    "    external_spike_count_list[external_time_instance] = external_spike_count_list[external_time_instance] + 1\n",
    "for i in range(Total_bins + 1):\n",
    "    external_bin_list.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "id": "36AkUHcKgPpK",
    "outputId": "0bed1c91-ca81-4d2c-d5a6-6d184188dbef",
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(3)\n",
    "plt.plot(external_bin_list,external_spike_count_list,color = 'green')\n",
    "plt.xlabel('Bins')\n",
    "plt.ylabel('Spikes')\n",
    "plt.title('External PSTH graph')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "id": "lxrGwWX1gPpK"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7277\n",
      "2922\n",
      "1832\n"
     ]
    }
   ],
   "source": [
    "bin_number = 50\n",
    "sum1=0\n",
    "for i in range(len(spike_count_list)):\n",
    "    sum1 = sum1 + spike_count_list[i]\n",
    "sum2 = 0\n",
    "for i in range(len(inh_spike_count_list)):\n",
    "    sum2 = sum2 + inh_spike_count_list[i]\n",
    "sum3 = 0\n",
    "for i in range(len(external_spike_count_list)):\n",
    "    sum3 = sum3 + external_spike_count_list[i]\n",
    "\n",
    "print(sum1)\n",
    "print(sum2)\n",
    "print(sum3)\n",
    "mean_fire_rate_pop_avg_exc = sum1/(NumCells_exc)\n",
    "mean_fire_rate_pop_avg_inh = sum2/(NumCells_inh)\n",
    "mean_fire_rate_pop_avg_external = sum3/(NumCells_extSource)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "id": "KOXLi027gPpL",
    "outputId": "cd11d6c1-84af-436f-bf2a-15153b8cc81a"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "90.9625\n",
      "146.1\n",
      "22.9\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(mean_fire_rate_pop_avg_exc)\n",
    "print(mean_fire_rate_pop_avg_inh)\n",
    "print(mean_fire_rate_pop_avg_external)\n",
    "x_axis = ['Excitatory','Inhibitory','External']\n",
    "y_axis = [mean_fire_rate_pop_avg_exc,mean_fire_rate_pop_avg_inh,mean_fire_rate_pop_avg_external]\n",
    "barlist = plt.bar(x_axis,y_axis,width = 0.35,align='center')\n",
    "barlist[0].set_color('red')\n",
    "barlist[1].set_color('blue')\n",
    "barlist[2].set_color('g')\n",
    "plt.title('Rate as Spike Density')\n",
    "plt.savefig('Average_of_trails.png')\n",
    "plt.ylabel('Mean Fire Rate')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "Population_Averaging.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}