{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2151c15a-19d4-4dd1-a2c6-4d1d11e5783e",
   "metadata": {},
   "source": [
    "# FeynMF\n",
    "\n",
    "From: \n",
    " - https://ctan.math.illinois.edu/macros/latex/contrib/feynmf/fmfman.pdf\n",
    " - https://www2.pd.infn.it/TeX/doc/latex/feynmf/manual.pdf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2dfe2c3b-6f28-42fd-8d2e-5572d6d8da74",
   "metadata": {},
   "source": [
    "## Box"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ef74b6e9-8cec-48d6-9b1b-e3ea4b1109f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from feynml import *\n",
    "from feynml.topology import four as t2t\n",
    "from pyfeyn2.auto import auto_default\n",
    "from pyfeyn2.render.latex.tikzfeynman import TikzFeynmanRender\n",
    "from pyfeyn2.render.all import AllRender"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bd8b4fe0-e7ee-4136-a5f1-3e81393ecf6d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 84faaff 'PDF' (394x394)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 3373dc4 'PDF' (787x787)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 1a63a35 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<wand.image.Image: ae4a2a9 'PDF' (1096x1051)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mermaid:\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
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      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
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     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asciipdf:\n"
     ]
    },
    {
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",
      "text/plain": [
       "<wand.image.Image: e5ec113 'PDF' (664x570)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 3be897c 'PDF' (13837x9)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madgraph:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 1956913 'PDF' (139x139)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: fad10ce 'PDF' (788x756)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Info in <TCanvas::SaveSource>: C++ Macro file: /tmp/tmpvr78t6t3.tex has been generated\n",
      "Info in <TCanvas::Print>: TeX file /tmp/tmpei2rm9jo.tex has been created\n"
     ]
    }
   ],
   "source": [
    "fd = t2t.v_channel(\"b\",\"c_bar\",\"b_bar\",\"c\")\n",
    "fd.insert_vertex_loop(fd.vertices[0],\"W+\",\"t_bar\",\"W-\",\"t\")\n",
    "# Fix top arrow orientation in box\n",
    "for t in filter(lambda t : t.name == \"t\", fd.propagators):\n",
    "    t.conjugate()\n",
    "ar = AllRender(auto_default(fd))\n",
    "ar.render()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03549020-b0a4-4fb0-958f-80b1b8e5d23e",
   "metadata": {},
   "source": [
    "## 2 to 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "76b56e86-320e-4e69-804a-ffa7068396f5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: ea27ce5 'PDF' (414x394)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: b1fd453 'PDF' (812x787)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 5cdd12a 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: d962c47 'PDF' (1096x1051)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mermaid:\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
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      "text/plain": [
       "<IPython.core.display.SVG object>"
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     },
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     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asciipdf:\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<wand.image.Image: 8e58100 'PDF' (664x570)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 3be897c 'PDF' (13837x9)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madgraph:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 5649a42 'PDF' (139x139)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 5c15e0e 'PDF' (864x756)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Info in <TCanvas::SaveSource>: C++ Macro file: /tmp/tmpha6i3skt.tex has been generated\n",
      "Info in <TCanvas::Print>: TeX file /tmp/tmprn4a10hv.tex has been created\n"
     ]
    }
   ],
   "source": [
    "fd = t2t.s_channel(\"e-\",\"e+\",\"gamma\",\"W+\",\"W-\")\n",
    "l1 = fd.legs[2]\n",
    "l2 = fd.legs[3]\n",
    "fd.emission(l1,\"c_bar\",end=\"s\")\n",
    "ar = AllRender(auto_default(fd))\n",
    "ar.render()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "64e4b069-d5f8-496f-86d2-c8a616fcd3bf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: f4dcec9 'PDF' (394x394)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 84ead2f 'PDF' (787x787)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<wand.image.Image: 6c87d78 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 297a1a5 'PDF' (1096x1051)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mermaid:\n"
     ]
    },
    {
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     "name": "stdout",
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     "text": [
      "asciipdf:\n"
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",
      "text/plain": [
       "<wand.image.Image: fe374be 'PDF' (664x570)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 3be897c 'PDF' (13837x9)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madgraph:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: f59e2ba 'PDF' (139x139)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: ce278ae 'PDF' (824x756)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Info in <TCanvas::SaveSource>: C++ Macro file: /tmp/tmpdfd34jt1.tex has been generated\n",
      "Info in <TCanvas::Print>: TeX file /tmp/tmp6g7j28pe.tex has been created\n"
     ]
    }
   ],
   "source": [
    "fd = t2t.s_channel(\"e-\",\"e+\",\"gamma\",\"W-\",\"W+\")\n",
    "l1 = fd.legs[2]\n",
    "l2 = fd.legs[3]\n",
    "fd.decay(l1,\"c_bar\",\"s\")\n",
    "fd.decay(l2,\"nu_mu\",\"mu+\")\n",
    "ar = AllRender(auto_default(fd))\n",
    "ar.render()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "759d9d77-6d06-416c-b989-8bfbbc907f95",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a5516d82-9949-454f-9f57-d170c991ed6a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "name": "python3"
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  "language_info": {
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    "name": "ipython",
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