{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b6bdf017",
   "metadata": {},
   "source": [
    "# Feynman\n",
    "\n",
    "From: http://gkantonius.github.io/feynman/auto_examples/index.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "845b2908",
   "metadata": {},
   "outputs": [],
   "source": [
    "from feynml import FeynmanDiagram, Leg, Propagator, Vertex\n",
    "from pyfeyn2.render.latex.tikzfeynman import TikzFeynmanRender\n",
    "from pyfeyn2.render.all import AllRender\n",
    "from pyfeyn2.render.root.rootrender import ROOTRender\n",
    "from pyfeyn2.render.root.rootpdfrender import ROOTPDFRender\n",
    "from pyfeyn2.render.text.unicode import UnicodeRender\n",
    "from pyfeyn2.render.text.unicodepdf import UnicodePDFRender\n",
    "from pyfeyn2.auto.position import feynman_adjust_points\n",
    "from pyfeyn2.auto.label import auto_label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ee2b54da",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 16b35ce 'PDF' (163x102)>"
      ]
     },
     "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: d2659d6 'PDF' (315x204)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<wand.image.Image: 970dc4e '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: cb5e777 'PDF' (496x251)>"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mermaid:\n"
     ]
    },
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      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 3be897c 'PDF' (13837x9)>"
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     "metadata": {},
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    },
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "madgraph:\n"
     ]
    },
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     "data": {
      "image/png": "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",
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       "<wand.image.Image: 44bd6c6 'PDF' (139x139)>"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root:\n"
     ]
    },
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     "data": {
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",
      "text/plain": [
       "<wand.image.Image: 2ca92f4 'PDF' (788x857)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Info in <TCanvas::SaveSource>: C++ Macro file: /tmp/tmpa45vwp8p.tex has been generated\n",
      "Info in <TCanvas::Print>: TeX file /tmp/tmpesa6uygc.tex has been created\n"
     ]
    }
   ],
   "source": [
    "v1 = Vertex(x=-1,y=1)\n",
    "v2 = Vertex(x=-1,y=-1)\n",
    "\n",
    "v3 = Vertex(x=0,y=0)\n",
    "v4 = Vertex(x=1,y=0)\n",
    "\n",
    "i1 = Leg(x=-2,y=1,target=v1.id,name=\"u\").with_incoming()\n",
    "i2 = Leg(x=-2,y=-1,target=v2.id,name=\"u\").with_incoming()\n",
    "\n",
    "o1 = Leg(x=2,y=1,target=v1.id,pdgid=1).with_outgoing()\n",
    "o2 = Leg(x=2,y=0.5,target=v4.id,pdgid=-11).with_outgoing()\n",
    "o3 = Leg(x=2,y=-0.5,target=v4.id,pdgid=-11).with_outgoing()\n",
    "o4 = Leg(x=2,y=-1, target=v2.id,pdgid=1).with_outgoing()\n",
    "\n",
    "fd = FeynmanDiagram().add(\n",
    "    v1,v2,v3,v4,\n",
    "    \n",
    "    i1,i2,\n",
    "    \n",
    "    o1,o2,o3,o4,\n",
    "    \n",
    "    Propagator(type=\"higgs\",\n",
    "               source=v3.id,\n",
    "               target=v4.id,\n",
    "               label=r\"$H^{++}$\"\n",
    "              ),\n",
    "    Propagator(pdgid=24,source=v1.id,target=v3.id),\n",
    "    Propagator(pdgid=24,source=v2.id,target=v3.id)\n",
    ").add_rules(\"\"\"\n",
    "[type=fermion] { color : blue}\n",
    "[type=\"anti fermion\"] { color : blue}\n",
    "[type=\"boson\"] { color : green}\n",
    "\"\"\")\n",
    "auto_label(fd.propagators+fd.legs)\n",
    "ar = AllRender(fd)\n",
    "ar.render()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "930d7af5-9997-47ee-88b1-7ba43c0609ec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FeynmanDiagram(id='FeynmanDiagram18', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, propagators=[Propagator(id='Propagator19', pdgid=None, name=None, texname=None, type='higgs', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$H^{++}$', momentum=None, source='Vertex10', target='Vertex11'), Propagator(id='Propagator20', pdgid=24, name='W+', texname='W^{+}', type='boson', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$W^{+}$', momentum=None, source='Vertex8', target='Vertex10'), Propagator(id='Propagator21', pdgid=24, name='W+', texname='W^{+}', type='boson', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$W^{+}$', momentum=None, source='Vertex9', target='Vertex10')], vertices=[Vertex(id='Vertex8', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, x=-1, y=1, z=None, label=None, shape=None), Vertex(id='Vertex9', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, x=-1, y=-1, z=None, label=None, shape=None), Vertex(id='Vertex10', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, x=0, y=0, z=None, label=None, shape=None), Vertex(id='Vertex11', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, x=1, y=0, z=None, label=None, shape=None)], legs=[Leg(id='Leg12', pdgid=2, name='u', texname='u', type='fermion', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$u$', momentum=None, target='Vertex8', x=-2, y=1, z=None, shape=None, sense='incoming', external=None), Leg(id='Leg13', pdgid=2, name='u', texname='u', type='fermion', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$u$', momentum=None, target='Vertex9', x=-2, y=-1, z=None, shape=None, sense='incoming', external=None), Leg(id='Leg14', pdgid=1, name='d', texname='d', type='fermion', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$d$', momentum=None, target='Vertex8', x=2, y=1, z=None, shape=None, sense='outgoing', external=None), Leg(id='Leg15', pdgid=-11, name='e+', texname='e^{+}', type='anti fermion', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$e^{+}$', momentum=None, target='Vertex11', x=2, y=0.5, z=None, shape=None, sense='outgoing', external=None), Leg(id='Leg16', pdgid=-11, name='e+', texname='e^{+}', type='anti fermion', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$e^{+}$', momentum=None, target='Vertex11', x=2, y=-0.5, z=None, shape=None, sense='outgoing', external=None), Leg(id='Leg17', pdgid=1, name='d', texname='d', type='fermion', style=cssutils.css.CSSStyleDeclaration(cssText=''), clazz=None, label='$d$', momentum=None, target='Vertex9', x=2, y=-1, z=None, shape=None, sense='outgoing', external=None)], sheet=cssutils.css.CSSStyleSheet(href=None, media=None, title=None))\n"
     ]
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aadf897a-33f2-4956-980b-806256dd5179",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.12.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}