{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "推移確率行列を定義する．"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_mat[3,1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 状態遷移図\n",
    "<img src=\"https://mathtrain.jp/wp-content/uploads/2015/03/markovchain-300x263.png\" />\n",
    "参照: https://mathtrain.jp/markovchain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×3 Array{Float64,2}:\n",
       " 0.7  0.3  0.0\n",
       " 0.4  0.4  0.2\n",
       " 0.3  0.3  0.4"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 一般的な（行，列）によるしていにするためにreshape -> transposeを行う．\n",
    "p_mat = transpose(reshape(Float64[[0.7 0.3 0] [0.4 0.4 0.2] [0.3 0.3 0.4]],3,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "状態空間の定義"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 176,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s =[\"晴れ\",\"曇り\",\"雨\"]\n",
    "initial_state = 1\n",
    "state = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Match"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "marcov_chain (generic function with 2 methods)"
      ]
     },
     "execution_count": 174,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function markovchain_rule(p_mat)\n",
    "    p = rand(0.1:0.1:1.0)\n",
    "    if p >= 0.7\n",
    "        initial_state\n",
    "    end\n",
    "end\n",
    "    \n",
    "function sunny()\n",
    "    if p >= p_mat[1,1]\n",
    "       state =  s[1]\n",
    "    elseif p >= 0.0 && p <= p_mat[1,2]\n",
    "        state[2]\n",
    "    end \n",
    "end\n",
    "\n",
    "function cloudy()\n",
    "    if p >= \n",
    "end\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "markovchain2 (generic function with 1 method)"
      ]
     },
     "execution_count": 177,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function markovchain2(p_mat)\n",
    "    @match initial_state begin\n",
    "        1 => println(s[1]) # 晴れ\n",
    "        2 => println(s[2])　# 曇り\n",
    "        3 => println(s[3])　# 雨\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_mat[4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mCloning cache of Match from https://github.com/kmsquire/Match.jl.git\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mInstalling Match v0.4.0\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mPackage database updated\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mMETADATA is out-of-date — you may not have the latest version of Match\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mUse `Pkg.update()` to get the latest versions of your packages\n",
      "\u001b[39m"
     ]
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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