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tinkersdamage.ipynb
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{
"metadata": {
"orig_nbformat": 4,
"language_info": {
"name": "python",
"version": "3.7.10",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3 (ipykernel)",
"language": "python"
},
"colab": {
"name": "tinkersdamage.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
}
},
"nbformat_minor": 5,
"nbformat": 4,
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/repository/244aa9d20c44ce11a2217608046cc698/tinkersdamage.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"In Tinker's Construct, increases in a tool's damage output past a certain point is severely limited by a \"cutoff\" functionality. Every tool has a certain predefined cutoff value, as defined below. It should be noted that damage *will* continue to increase past the tool's cutoff, albeit at a much slower rate. "
],
"metadata": {
"id": "0IWU3bY70MIA"
},
"id": "0IWU3bY70MIA"
},
{
"cell_type": "code",
"source": [
"CUTOFFS = [\n",
" ('Battle Axe', 30),\n",
" ('Cleaver', 25),\n",
" ('Longsword', 18),\n",
" ('Rapier', 13),\n",
" ('Other', 15)\n",
"]"
],
"metadata": {
"id": "4ZJMXpBV0tYn"
},
"id": "4ZJMXpBV0tYn",
"execution_count": 1,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"Here is the method, translated from [the original Java code](https://github.com/SlimeKnights/TinkersConstruct/blob/c01173c0408352c50a2e8c5017552323ce42f5b4/src/main/java/slimeknights/tconstruct/library/utils/ToolHelper.java#L830), used to calculate the cutoff damage. This method is called after all damage adjustments, such as the tool's materials or modifiers, are calculated."
],
"metadata": {
"id": "AOhGXfsW0wQB"
},
"id": "AOhGXfsW0wQB"
},
{
"cell_type": "code",
"source": [
"def calculateCutoffDamage(damage, cutoff):\n",
" p = 1\n",
" d = damage\n",
" damage = 0\n",
" while d > cutoff:\n",
" damage += p * cutoff\n",
" if p > 0.001:\n",
" p *= 0.9\n",
" else:\n",
" damage += p * cutoff * ((d/cutoff) - 1)\n",
" return damage\n",
" d -= cutoff\n",
" damage += p * d\n",
" return damage"
],
"metadata": {
"id": "nNkibwqk1lbP"
},
"id": "nNkibwqk1lbP",
"execution_count": 2,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"We can then plot the output of this method for the cutoff values of each respective value to get an idea of how further increases in a tool's damage are affected."
],
"metadata": {
"id": "YUVOpjei1pg6"
},
"id": "YUVOpjei1pg6"
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from cycler import cycler\n",
"\n",
"plt.rcParams['axes.prop_cycle'] = cycler('linestyle',['-','--',':','-.', (0, (3, 1, 1, 1, 1, 1))])\n",
"\n",
"%matplotlib inline\n",
"\n",
"calculateCutoffDamage = np.frompyfunc(calculateCutoffDamage, 2, 1)\n",
"\n",
"def createPlot(ax, maxDamage):\n",
" x = np.linspace(0, maxDamage, int(maxDamage * 1.5))\n",
" plt.setp(ax, xlabel='Starting Damage')\n",
" plt.setp(ax, ylabel='Cutoff Damage')\n",
" ax.grid()\n",
" for cutoff in CUTOFFS:\n",
" ax.plot(x, calculateCutoffDamage(x, cutoff[1]), label=cutoff[0])\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(2, figsize=(7.5,9))\n",
"fig.subplots_adjust(top=0.95)\n",
"fig.patch.set_facecolor('white')\n",
"\n",
"createPlot(ax1, 2500)\n",
"createPlot(ax2, 15000)\n",
"\n",
"plt.suptitle('Tinker\\'s Construct Damage Cutoff')\n",
"handle, labels = ax2.get_legend_handles_labels()\n",
"plt.legend(handle, labels)\n",
"\n",
"plt.show()"
],
"metadata": {
"trusted": true,
"colab": {
"base_uri": "https://localhost:8080/",
"height": 616
},
"id": "185f1229-7a00-4f0f-b1ef-cb0c927a8d61",
"outputId": "ab034f22-bcc1-4f0f-c304-74fdffd6bcb8"
},
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 540x648 with 2 Axes>"
]
},
"metadata": {}
}
],
"id": "185f1229-7a00-4f0f-b1ef-cb0c927a8d61"
},
{
"cell_type": "markdown",
"source": [
"This was created using information from the 1.12 branch of Tinker's Construct. Actual functionality may vary depending on version."
],
"metadata": {
"id": "ka_kT8aa4cDT"
},
"id": "ka_kT8aa4cDT"
}
]
}
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