{ "cells": [ { "cell_type": "markdown", "id": "a738ac2e", "metadata": {}, "source": [ "# Run Energy Rework Equations\n", "An OSRS suggestion by **u/Euronaut**\n", "\n", "![Who would win?](Who_would_win.png \"Who would win?\")\n" ] }, { "cell_type": "markdown", "id": "1564f946", "metadata": {}, "source": [ "## 1. Drain Rate\n", "\n", "### Existing Run Time\n", "> - You can run for up to 90 seconds, regardless of Agility level.\n", "> - A stamina potion reduces your drain rate by 70%, resulting in a run time of up to 300 seconds.\n", "\n", "\n", "#### Equations\n", "The drain rate equation is\n", "\n", "$$\n", " L(W) = 67 + \\bigg \\lfloor 67\\frac{W}{64} \\bigg \\rfloor\n", "$$\n", "\n", "where $L(W)$ is the energy lost per tick, $W$ is the player weight. \n", "Minimum weight is 0 kg, maximum is 64 kg. \n", "Note: 100% run is equivalent to 10,000 energy.\n", "\n", "The drain rate with a stamina potion is\n", "$$\n", "L_{stam}(W) = 0.3 \\times L(W)\n", "$$\n", "\n", "The run time can be calculated from the drain rate using\n", "\n", "$$\n", "T(W) = \\frac{10,000}{L(W)}\n", "$$\n", "\n", "where $T(W)$ is the run time in ticks. This can be multiplied by 0.6 to get the run time in seconds.\n", "\n", "---\n", "\n", "### Proposed Run Time\n", "> - Your run time increases with Agility level, up to 225 seconds at level 99 Agility.\n", "> - A stamina potion adds a flat 120 seconds of additional run time.\n", "> - 100% run is now equivalent to 100k energy, instead of 10k \n", "> $\\rightarrow$ (Allows each additional Agility level to give benefits)\n", "\n", "#### Equations\n", "The new drain rate equation is\n", "\n", "$$\n", "L(A,W) = \\bigg \\lfloor \\bigg( 1 - (0.6)\\Big(\\frac{A - 1}{98} \\Big) \\bigg) \\bigg(670 + \\Big\\lfloor 670 \\frac{W}{64} \\Big\\rfloor\\bigg) \\bigg \\rfloor\n", "$$\n", "\n", "where $L(A,W)$ is the drain rate in energy per tick, $A$ is the player Agility level and $W$ is the player weight. \n", "Note: 100% run is equivalent to 100,000 energy.\n", "\n", "The drain rate with the stamina potion is now calculated using:\n", "\n", "$$\n", "L_{stam}(A,W) = \\Bigg \\lfloor \\frac{100,000}{\\frac{100,000}{L(A,W)} + 200} \\Bigg\\rfloor\n", "$$\n", "\n", "were $L_{stam}$ is the new drain rate with a stamina potion in energy per tick. \n", "\n", "The run time calculations are the same as in the existing system." ] }, { "cell_type": "code", "execution_count": 185, "id": "a420d83e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Drain Rate Calculation and Visualisation\n", "\n", "# Set up\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "Agility = np.arange(1,100,1) # Agility levels from 1-99\n", "Weight = np.arange(0,65,1) # Weights from 0kg to 64kg\n", "\n", "# Initialise variables\n", "L = np.zeros((len(Agility),len(Weight))) # Existing drain rate\n", "Lstam = np.zeros((len(Agility),len(Weight))) # Existing drain rate with stamina potion \n", "L2 = np.zeros((len(Agility),len(Weight))) # New drain rate\n", "L2stam = np.zeros((len(Agility),len(Weight))) # New drain rate with stamina potion\n", "T = np.zeros((len(Agility),len(Weight))) # Existing run time\n", "Tstam = np.zeros((len(Agility),len(Weight))) # Existing run time with stamina potion \n", "T2 = np.zeros((len(Agility),len(Weight))) # New run time\n", "T2stam = np.zeros((len(Agility),len(Weight))) # New run time with stamina potion\n", "\n", "# Calculate drain rate and run time for all Agility levels and Weights using the equations above\n", "for A in Agility-1:\n", " for W in Weight:\n", " L[A,W] = 670 + np.floor(670*np.clip(W,0,64)/64)\n", " Lstam[A,W] = 0.3*L[A,W]\n", " L2[A,W] = np.floor((1-A/98*0.6)*L[A,W])\n", " L2stam[A,W] = np.floor(100000/(100000/L2[A,W] + 200))\n", " T[A,W]= 100000/L[A,W]*0.6\n", " Tstam[A,W] = 100000/Lstam[A,W]*0.6\n", " T2[A,W] = 100000/L2[A,W]*0.6\n", " T2stam[A,W] = 100000/L2stam[A,W]*0.6\n", " \n", "\n", "# Graphs \n", "\n", "# Set up\n", "plt.rc('text', usetex=True) # Use LaTeX typesetting\n", "plt.rc('font', family='serif')\n", "plt.rcParams['font.size'] = 12\n", "\n", "fig, ax = plt.subplots(1, 2, figsize = [10,4])\n", "\n", "# Existing Run Time\n", "ax[0].set_title('Existing Run Time')\n", "\n", "ax[0].plot(Agility,T[:,22], label='Existing')\n", "ax[0].fill_between(Agility,T[:,0],T[:,64], alpha=0.5)\n", "\n", "ax[0].plot(Agility,Tstam[:,22], label='Existing stamina')\n", "ax[0].fill_between(Agility,Tstam[:,0],Tstam[:,64], alpha=0.5)\n", "\n", "ax[0].set_xlabel('Agility level')\n", "ax[0].set_ylabel('Run time (s)')\n", "\n", "ax[0].set_xlim([1,99])\n", "ax[0].set_xticks([1,20,40,60,80,99])\n", "ax[0].set_ylim([0,400])\n", "\n", "ax[0].grid(True,color = [0.9,0.9,0.9],linewidth=0.5)\n", "ax[0].set_axisbelow(True)\n", "ax[0].legend(fontsize=10)\n", "\n", "# Proposed Run Time\n", "\n", "ax[1].set_title('Proposed Run Time')\n", "\n", "ax[1].plot(Agility,T2[:,22], label='Proposed')\n", "ax[1].fill_between(Agility,T2[:,0],T2[:,64], alpha=0.5)\n", "\n", "ax[1].plot(Agility,T2stam[:,22], label='Proposed stamina')\n", "ax[1].fill_between(Agility,T2stam[:,0],T2stam[:,64], alpha=0.5)\n", "\n", "ax[1].set_xlabel('Agility level')\n", "ax[1].set_ylabel('Run time (s)')\n", "\n", "ax[1].set_xlim([1,99])\n", "ax[1].set_xticks([1,20,40,60,80,99])\n", "ax[1].set_ylim([0,400])\n", "\n", "ax[1].grid(True,color = [0.9,0.9,0.9],linewidth=0.5)\n", "ax[1].set_axisbelow(True)\n", "ax[1].legend(fontsize=10, loc='upper left')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "80b50b1a", "metadata": {}, "source": [ "## 2. Recovery Rate\n", "\n", "### Existing Recovery Rate\n", "> - Run recovery rate is constant.\n", "> - It takes 12.5 minutes to recover 100% energy at level 1 Agility (!)\n", "> - Recovery rate at level 99 Agility is 3x as fast.\n", "> - Recovery rate only improves every 6th Agility level.\n", "\n", "\n", "#### Equations\n", "The recovery rate equation is\n", "\n", "$$\n", " R(A) = \\bigg \\lfloor \\frac{A}{6} \\bigg \\rfloor + 8\n", "$$\n", "\n", "where $R(A)$ is the energy recovered per tick, $A$ is player Agility level. \n", "Note: 100% run is equivalent to 10,000 energy.\n", "\n", "The time to recover 100% energy is given by\n", "\n", "$$\n", "T_R(A) = \\frac{10,000}{R(A)}\n", "$$\n", "\n", "where $T_R(A)$ is the 100% recovery time in ticks. This can be multiplied by 0.6 to get the time in seconds.\n", "\n", "---\n", "\n", "### Proposed Recovery Rate\n", "> - Recovery rate increases over time, up to 3x the initial rate.\n", "> - It takes 5 minutes to recover 100% energy at 1 Agility.\n", "> - Recovery rate at level 99 Agility is 2.3x as fast. \n", "> - 100% run is now equivalent to 100k energy, instead of 10k \n", "> $\\rightarrow$ Recovery rate improves every level.\n", "\n", "\n", "#### Equations\n", "The new recovery rate equation is\n", "\n", "\n", "\n", "$$\n", " R(A) = R_1(A) + \\bigg\\lfloor 10\\Big( \\frac{t}{15}\\Big) \\big( \\frac{R_1(A)}{8} \\big)\\bigg\\rfloor\n", "$$\n", "\n", "where $R(A)$ is the recovery rate in energy per tick, with a maximum value of $3R_1$, $t$ is the number of ticks since last run, and $R_1(A)$ is the initial recovery rate, given by:\n", "\n", "$$\n", " R_1(A) = \\bigg\\lfloor \\frac{10A}{6} \\bigg\\rfloor + 80\n", "$$\n", "where $A$ is the player Agility level. \n", "Note: 100% run is equivalent to 100,000 energy." ] }, { "cell_type": "code", "execution_count": 186, "id": "aea8c50f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Recovery Rate Calculation and Visualisation \n", "\n", "ticks = np.arange(0,1301,1) # time in ticks from 0 to 13 minutes\n", "Agility = np.arange(1,100,1) # Agility levels from 1-99\n", "\n", "# Initialise variables\n", "R = np.zeros((len(Agility),len(ticks))) # Existing recovery rate\n", "R1 = np.zeros((len(Agility),len(ticks))) # New initial recovery rate\n", "R2 = np.zeros((len(Agility),len(ticks))) # New recovery rate\n", "E = np.zeros((len(Agility),len(ticks))) # Existing recovered energy over time\n", "E2 = np.zeros((len(Agility),len(ticks))) # New recovered energy over time\n", "\n", "percentage = np.arange(0,101,1)\n", "T_to_pct = np.zeros((len(Agility),len(percentage)))\n", "T2_to_pct = np.zeros((len(Agility),len(percentage)))\n", "\n", "# Calculate recovery rate and total recovered energy over time for all Agility levels using the equations above\n", "for A in Agility-1:\n", " for t in ticks:\n", " R[A,t] = np.floor(A/6)+8\n", " R1[A,t] = np.floor(10*A/6)+80\n", " R2[A,t] = R1[A,t] + np.floor(10*t/15*R[A,t]/8)\n", " R2[A,t] = min(R2[A,t], 3*R1[A,t])\n", " \n", " if t != 0:\n", " E[A,t] = E[A,t-1] + R[A,t]\n", " E[A,t] = min(E[A,t], 10000) # Limit maximum energy to 10k\n", " E2[A,t] = E2[A,t-1] + R2[A,t]\n", " E2[A,t] = min(E2[A,t], 100000) # Limit maximum energy to 100k\n", " \n", " for pct in percentage:\n", " T_to_pct[A, pct] = ticks[E[A,:] >= pct*100][0]\n", " T2_to_pct[A, pct] = ticks[E2[A,:] >= pct*1000][0]\n", "\n", " \n", "# Graphs \n", "\n", "# Set up\n", "plt.rc('text', usetex=True) # Use LaTeX typesetting\n", "plt.rc('font', family='serif')\n", "plt.rcParams['font.size'] = 12\n", "\n", "levels = [1,20,40,60,80,99]\n", "\n", "fig, ax = plt.subplots(1, 2, figsize = [10,4])\n", "\n", "# Existing Run Time\n", "ax[0].set_title('Existing Recovery')\n", "\n", "plot_number = 0\n", "for level in levels:\n", " ax[0].plot(ticks/100,E[level-1,:]/100, label='Existing level '+str(level), zorder=len(levels)-plot_number, color='#1f77b4', alpha=0.2+0.15*plot_number)\n", " plot_number += 1\n", "\n", "ax[0].set_xlabel('Time (min)')\n", "ax[0].set_ylabel('Energy recovered (\\%)')\n", "\n", "ax[0].set_xlim([0,12.5])\n", "ax[0].set_ylim([0,105])\n", "\n", "ax[0].grid(True,color = [0.9,0.9,0.9],linewidth=0.5)\n", "ax[0].set_axisbelow(True)\n", "ax[0].legend(fontsize=10)\n", "\n", "# Proposed Run Time\n", "\n", "ax[1].set_title('Proposed Recovery')\n", "\n", "plot_number = 0\n", "for level in levels:\n", " ax[1].plot(ticks/100,E2[level-1,:]/1000, label='Proposed level '+str(level), zorder=len(levels)-plot_number,color='#1f77b4', alpha=0.2+0.15*plot_number)\n", " plot_number += 1\n", "\n", "ax[1].set_xlabel('Time (min)')\n", "ax[1].set_ylabel('Energy recovered (\\%)')\n", "\n", "ax[1].set_xlim([0,12.5])\n", "ax[1].set_ylim([0,105])\n", "\n", "ax[1].grid(True,color = [0.9,0.9,0.9],linewidth=0.5)\n", "ax[1].set_axisbelow(True)\n", "ax[1].legend(fontsize=10)\n", "\n", "\n", "fig, ax = plt.subplots(1, 2, figsize = [10,4])\n", " \n", "percentages = [10,25,50,75,100]\n", "\n", "# Existing Time to Recover\n", "\n", "ax[0].set_title('Existing time to recover')\n", "\n", "plot_number = 0\n", "for percentage in percentages:\n", " ax[0].plot(Agility,T_to_pct[:,percentage]/100, label=str(percentage)+'\\%',color='#1f77b4', alpha=0.2+0.15*plot_number)\n", " plot_number += 1\n", "\n", "ax[0].set_xlabel('Agility level')\n", "ax[0].set_ylabel('Time (min)')\n", "\n", "ax[0].set_xlim([1,99])\n", "ax[0].set_ylim([0,13])\n", "\n", "ax[0].grid(True,color = [0.9,0.9,0.9],linewidth=0.5)\n", "ax[0].set_axisbelow(True)\n", "ax[0].legend(fontsize=10)\n", "\n", "\n", "# Proposed Time to Recover\n", "\n", "ax[1].set_title('Proposed time to recover')\n", "\n", "plot_number = 0\n", "for percentage in percentages:\n", " ax[1].plot(Agility,T2_to_pct[:,percentage]/100, label=str(percentage)+'\\%',color='#1f77b4', alpha=0.2+0.15*plot_number)\n", " plot_number += 1\n", "\n", "ax[1].set_xlabel('Agility level')\n", "ax[1].set_ylabel('Time (min)')\n", "\n", "ax[1].set_xlim([1,99])\n", "ax[1].set_ylim([0,13])\n", "\n", "ax[1].grid(True,color = [0.9,0.9,0.9],linewidth=0.5)\n", "ax[1].set_axisbelow(True)\n", "ax[1].legend(fontsize=10)\n", "\n", "plt.show()" ] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }