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   "source": [
    "# Godbreaker\n",
    "The {prd_feats}`Godbreaker <6049>` feat (Monk 20, Wrestler 20) is the ultimate Super Sayan move - but how likely are you to pull it off completely?\n",
    "\n",
    "Let's compare these builds:\n",
    "\n",
    "1. Monk (**2.** Crushing Grab, **6.** Whilrling Throw, **19.** Perfected Form, **20.** Godbreaker)\n",
    "2. Fighter (**2.** Wrestler Dedication, **4.** Crushing Grab, **8.** Whirling Throw, **10.** Agile Grace, **20.** Godbreaker)\n",
    "3. Ranger (**1.** Flurry Edge, **2.** Wrestler Dedication, **4.** Crushing Grab, **8.** Whirling Throw, **20.** Godbreaker)\n",
    "4. Any other martial, e.g. animal barbarians (**2.** Wrestler Dedication, **4.** Crushing Grab, **8.** Whirling Throw, **20.** Godbreaker)\n",
    "5. Any spellcaster (**2.** Wrestler Dedication, **4.** Crushing Grab, **8.** Whirling Throw, **20.** Godbreaker)\n",
    "\n",
    "Assume that:\n",
    "- All use +3 Greater Fearsome Keen Handwraps of Mighty Blows\n",
    "- All martials have an Apex item for +1 STR; start at +4 STR and increase it at all bumps\n",
    "- Non-martials start at +3 STR and increase it at all bumps\n",
    "- All perform the second and third strike with an agile unarmed attack\n",
    "- The turn starts with the target already grabbed\n",
    "\n",
    "For the sake of tidiness we're skipping damage calculations."
   ]
  },
  {
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   "id": "b2e6b9cc-930c-4a84-8ba7-62a7e278ffe3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import xarray\n",
    "\n",
    "import pathfinder2e_stats as pf2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a18fa88b-9671-4aa7-a702-e4ff51f1cdf5",
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   "source": [
    "# Keen rune?\n",
    "keen = True\n",
    "\n",
    "# Fearsome, Greater Fearsome, Crushing, or Greater Crushing Rune?\n",
    "# What's the status penalty to AC on a critical hit?\n",
    "fearsome = -2\n",
    "\n",
    "# How much help is the attacker getting from the other party members?\n",
    "# Bestial Mutagen or Fury Cocktail for an extra +1 item bonus to attack\n",
    "# Aid or Albatross Curse for +1 circumstance bonus\n",
    "# Bless or Corageous Anthem for +1 status bonus\n",
    "# Heroism for +1 (3rd), +2 (6th), +3 (9th) status bonus\n",
    "party_help = {\n",
    "    \"dims\": [\"party help\"],\n",
    "    \"coords\": {\"party help\": [\"nothing\", \"everything\"]},\n",
    "}\n",
    "extra_atk_bonus = xarray.DataArray([0, 5], **party_help)\n",
    "\n",
    "# Did another party member apply Frightened, sickened, or clumsy\n",
    "# when the attacker's turn begins?\n",
    "initial_AC_status_penalty = xarray.DataArray([0, -2], **party_help)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1ab92d08-974b-44c1-b74a-0a139c690665",
   "metadata": {},
   "outputs": [],
   "source": [
    "atk = (\n",
    "    pf2.tables.SIMPLE_PC.weapon_attack_bonus[\n",
    "        [\"monk\", \"fighter\", \"ranger\", \"barbarian\", \"wizard\"]\n",
    "    ]\n",
    "    .sum(\"component\")\n",
    "    .sel(mastery=True, level=20)\n",
    "    .to_array(\"class\")\n",
    ")\n",
    "atk.to_pandas().to_frame(\"attack bonus\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3efb658-f924-4a2c-a85e-c8257d310070",
   "metadata": {},
   "source": [
    "Three standard targets:\n",
    "- level 18 with low AC\n",
    "- level 20 with moderate AC\n",
    "- level 22 with high AC\n",
    "\n",
    "The target starts grabbed and remains grabbed throughout all strikes.\n",
    "If a strike fails, the grab is lost and the strikes end."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2a489a1f-7799-4115-ae6b-028502e0f222",
   "metadata": {},
   "outputs": [],
   "source": [
    "AC = pf2.tables.SIMPLE_NPC.AC.sel(level=20) - 2\n",
    "AC.to_pandas().to_frame(\"AC\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3a7866c0-6854-42c1-a6da-853a84921d17",
   "metadata": {},
   "outputs": [],
   "source": [
    "MAP = xarray.DataArray(\n",
    "    [\n",
    "        [0, -4, -8],  # Monk\n",
    "        [0, -3, -6],  # Fighter with Agile Grace\n",
    "        [0, -3, -6],  # Flurry ranger\n",
    "        [0, -4, -8],  # Any other martial\n",
    "        [0, -4, -8],  # Any spellcaster\n",
    "    ],\n",
    "    dims=[\"class\", \"strike\"],\n",
    "    coords={\"class\": atk.coords[\"class\"], \"strike\": [1, 2, 3]},\n",
    ")\n",
    "MAP.to_pandas()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c080f4e6-a63a-48ed-b361-3e84b7256dcc",
   "metadata": {},
   "source": [
    "**Perfected form** (level 19 monk feature):\n",
    "On your first Strike of your turn, if you roll lower than 10,\n",
    "you can treat the attack roll as a 10. This is a fortune effect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f2b3adde-ed78-41d8-8ed6-c4a461d058df",
   "metadata": {},
   "outputs": [],
   "source": [
    "perfected_form = xarray.DataArray(\n",
    "    np.zeros((3, 5), dtype=bool),\n",
    "    dims=[\"strike\", \"class\"],\n",
    "    coords={\"strike\": [1, 2, 3], \"class\": atk.coords[\"class\"]},\n",
    ")\n",
    "perfected_form[0, 0] = True\n",
    "perfected_form.to_pandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d3bf1f8f-a851-480c-a448-d3486f2fc48c",
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = dict(\n",
    "    bonus=atk + MAP + extra_atk_bonus,\n",
    "    perfected_form=perfected_form,\n",
    "    keen=keen,\n",
    "    # Roll independently for the three strikes...\n",
    "    independent_dims=[\"strike\"],\n",
    "    # ... but roll only once across the different what-if scenarios\n",
    "    # and apply the result of the d20 to different bonuses and DCs.\n",
    "    dependent_dims=[\"class\", \"challenge\", \"party help\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "817bd857-9b09-41aa-ac5b-59afa1916d72",
   "metadata": {},
   "outputs": [],
   "source": [
    "AC_status1 = initial_AC_status_penalty\n",
    "strike1 = pf2.check(DC=AC + AC_status1, **kwargs).outcome.sel(strike=1, drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "465861c2-ad14-41b0-9fd6-abf71234be3c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Critical hits trigger the fearsome rune\n",
    "AC_status2 = np.minimum(\n",
    "    xarray.where(strike1 == pf2.DoS.critical_success, fearsome, 0),\n",
    "    AC_status1,\n",
    ")\n",
    "strike2 = xarray.where(\n",
    "    strike1 >= pf2.DoS.success,\n",
    "    pf2.check(DC=AC + AC_status2, **kwargs).outcome.sel(strike=2, drop=True),\n",
    "    pf2.DoS.no_roll,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "28440e76-d936-46dc-a5c7-41f81c2f93e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Critical hits trigger the fearsome rune\n",
    "AC_status3 = np.minimum(\n",
    "    xarray.where(strike2 == pf2.DoS.critical_success, fearsome, 0),\n",
    "    AC_status2,\n",
    ")\n",
    "strike3 = xarray.where(\n",
    "    strike2 >= pf2.DoS.success,\n",
    "    pf2.check(DC=AC + AC_status3, **kwargs).outcome.sel(strike=3, drop=True),\n",
    "    pf2.DoS.no_roll,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d9c992bd-f233-44b9-a788-afc29050f611",
   "metadata": {},
   "outputs": [],
   "source": [
    "strikes = xarray.concat([strike1, strike2, strike3], dim=\"strike\")\n",
    "strikes.coords[\"strike\"] = [1, 2, 3]\n",
    "counts = pf2.outcome_counts(strikes)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42385a51-2ae5-4e22-bdea-633cb8624adc",
   "metadata": {},
   "source": [
    "## Probability to obtain at least a hit on each strike\n",
    "- A hit on the second strike can only happen if you hit on the first.\n",
    "- A hit on the third strike, and consecutive final slam into the ground, can only happen if you hit on the first two.\n",
    "- The probability to fully complete the Godbreaker three-action activity is equal to the probability of hitting on the third strike."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e45a915d-a2c2-47b8-bdc3-1af166809eee",
   "metadata": {},
   "outputs": [],
   "source": [
    "(\n",
    "    counts.sel(outcome=[\"Critical success\", \"Success\"])\n",
    "    .sum(\"outcome\")\n",
    "    .stack(row=[\"challenge\", \"class\"], column=[\"party help\", \"strike\"])\n",
    "    .to_pandas()\n",
    "    .round(3)\n",
    "    * 100\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5971320c-0742-4bb4-a30b-215f4ef198cc",
   "metadata": {},
   "source": [
    "## Aside\n",
    "Godbreaker has the following extra damage and effects, compared to three iterative strikes:\n",
    "- 0 hits: 10 falling damage\n",
    "- 1 hit: 20 falling damage\n",
    "- 2 hits: 30 falling damage\n",
    "- 3 hits: 40 falling damage + Crushing Grab + 1 strike damage + grapple continues into next round"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84c04f17-8e8c-4d75-ae4d-fdb0eea829a4",
   "metadata": {},
   "source": [
    "## Probability of completing the Godbreaker\n",
    "This is just a selection of `strike=3` from the previous table, for ease of reading."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c70fd074-b650-4eaa-949a-0c85fb6fd286",
   "metadata": {},
   "outputs": [],
   "source": [
    "(\n",
    "    counts.sel(outcome=[\"Critical success\", \"Success\"])\n",
    "    .sum(\"outcome\")\n",
    "    .sel(strike=3)\n",
    "    .stack(row=[\"party help\", \"challenge\"])\n",
    "    .to_pandas()\n",
    "    .round(3)\n",
    "    * 100\n",
    ").T"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e73ae792-bd1a-4a65-bf05-a0a9f4c4e4ad",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "- The Godbreaker activity has a _very_ slim chance of complete success as a baseline, with a big risk of feeling underwhelming.\n",
    "- Party assistance makes an enormous difference.\n",
    "- The various classes compare as follows:\n",
    "  1. **Fighter/Wrestlers** are by far the best at applying GodBreaker in all situations, thanks to their higher baseline attack bonus plus Agile Grace;\n",
    "  2. **Flurry Ranger/Wrestlers** come second thanks to their low MAP;\n",
    "  3. **Monks**, for which this feat was designed, are only third best despite their Perfected Form;\n",
    "  4. Other martials and spellcasters should just avoid this feat due to their inability to consistently connect 3 strikes in a row with MAP."
   ]
  }
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