Example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from RTNX_source import *\n",
    "from RTNX_analysis import mathemathikaFunction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example: Creating and Integrating a Circuit\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating A Circuit-Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def myCircuit(ID):\n",
    "    circ = Circuit(4)\n",
    "    circ.fillOpenWiresAlphabetically(ID)\n",
    "    \n",
    "    U0,Us0 = circ.add_U_node('0U',ID  ,[2,2],[2,2],4)\n",
    "    U1,Us1 = circ.add_U_node('1U',ID,[2,2],[2,2],4)\n",
    "    U2,Us2 = circ.add_U_node('2U',ID,[2,2],[2,2],4)\n",
    "\n",
    "    circ.connectWireToGate(Us0,[0,1])\n",
    "    circ.connectGateToWire(U0,[0,1])\n",
    "\n",
    "    circ.connectWireToGate(Us1,[2,3])\n",
    "    circ.connectGateToWire(U1,[2,3])\n",
    "    \n",
    "    circ.connectWireToGate(Us2,[1,2])\n",
    "    circ.connectGateToWire(U2,[1,2])\n",
    "    \n",
    "    return circ"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating 'myCircuit'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "circ1 = myCircuit(1)\n",
    "visualizeTN([circ1.getRTNI_string(),1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Creating a Mathematika String of myCircuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "myCircArray = circ1.getRTNI_string()\n",
    "RTNx.mathematikaString(myCircArray)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Connecting 2 Circuits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "circ2 = myCircuit(2)\n",
    "cirCon = Circuit.connectCircuit(circ1,circ2)\n",
    "circConArray = cirCon.getRTNI_string()\n",
    "circConArray"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "cirCon.closeCircuit()\n",
    "IntegratedCircArray = cirCon.getIntegratedRTNI_array()\n",
    "IntegratedCircArray"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Creating a Circ2U-w-d circuit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Circ2U-w-d Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def createAndIntegrateCircuit(width,depth,boolInfo = False):\n",
    "    filename = \"Data/Circuit_\"\n",
    "\n",
    "    circ = Circuit(width)\n",
    "    circ.fillOpenWiresAlphabetically(1)\n",
    "\n",
    "    circE = Circuit(width)\n",
    "    circE.fillOpenWiresAlphabetically(2)\n",
    "\n",
    "    filename = filename + \"Ato\" + Circuit.getWireName(width-1)+\"_\"+ str(depth) + \".txt\"\n",
    "\n",
    "\n",
    "    for i in range(depth):\n",
    "        startingWire = i%2\n",
    "        while startingWire  < width:\n",
    "            startingWirePlus = (startingWire+1)%width\n",
    "            wireName1 = Circuit.getWireName(startingWire)\n",
    "            wireName2 = Circuit.getWireName(startingWirePlus)\n",
    "\n",
    "            uName  =  wireName1+wireName2+ str(i+1)+\"_U\"\n",
    "            errName  =  wireName1+wireName2+ str(i+1)+\"_E\"\n",
    "            errSName = errName+\"*\"\n",
    "\n",
    "            #circ------------------\n",
    "            newU,newUs     = circ.add_U_node(uName,1,[2,2],[2,2],4)\n",
    "            circ.connectGateToWire(newU,[startingWire,startingWirePlus])\n",
    "            circ.connectWireToGate(newUs,[startingWire,startingWirePlus])\n",
    "\n",
    "\n",
    "            #circE-------------------\n",
    "            newU_E,newUs_E = circ.add_U_node(uName,2,[2,2],[2,2],4)\n",
    "            errNode = circE.add_node(errName,2)\n",
    "            errSNode = circE.add_node(errSName,2)\n",
    "\n",
    "            circE.connectGateToWire(errNode ,[startingWire,startingWirePlus])\n",
    "            circE.connectGateToWire(newU_E    ,[startingWire,startingWirePlus])\n",
    "\n",
    "            circE.connectWireToGate(errSNode,[startingWire,startingWirePlus])\n",
    "            circE.connectWireToGate(newUs_E   ,[startingWire,startingWirePlus])\n",
    "\n",
    "            startingWire += 2\n",
    "\n",
    "\n",
    "    connectedCircuit = Circuit.connectCircuit(circ, circE)\n",
    "    connectedCircuit.closeCircuit()\n",
    "    integratedCircArray = connectedCircuit.getIntegratedRTNI_array()\n",
    "    # for i in integratedCircArray:\n",
    "        # print(i)\n",
    "        # print(RTNx.mathematikaString(str(i)))\n",
    "    # print(integratedCircArray)\n",
    "\n",
    "    # print()\n",
    "    print(\"Saved in file: \" + filename)\n",
    "    with open(filename, \"wb\") as fp:   #Pickling\n",
    "        pickle.dump(integratedCircArray, fp)\n",
    "\n",
    "    return integratedCircArray"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "circ2U43 = createAndIntegrateCircuit(4,3)\n",
    "AnalyzedObject = mathemathikaFunction(circ2U43)\n",
    "#usedFactor = AnalyzedObject.usedFactor\n",
    "#AnalyzedTN = AnalyzedObject.AnalyzedTN\n",
    "#pArr = AnalyzedObject.pArr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysing the Circ2U-w-d Circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "AnalyzedObject.createSum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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