HW01.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# HW01\n",
    "* 이름: 송기원\n",
    "* 학번: 20180637\n",
    "\n",
    "위에 이름과 학번을 자신의 것으로 기입하고 또 맨 위에 노트북의 제목도 `HW01<이름><학번>`으로 바꾸어 HiClass를 통해 마감시간까지 제출하면 됩니다.\n",
    "마감시간은 HiClass에 공지되어 있습니다."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.RGB"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class RGB {\n",
    "    int r, g, b;\n",
    "    RGB() { r=0; g=0; b=0; }\n",
    "    RGB(int _r, int _g, int _b) { r=_r; g=_g; b=_b; }\n",
    "    @Override public String toString() { return \"rgb(\"+r+\",\"+g+\",\"+b+\")\"; }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.Point"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class Point {\n",
    "    int x, y;\n",
    "    Point() { x=0; y=0; }\n",
    "    Point(int _x, int _y) { x=_x; y=_y; }\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 첫번째 설계\n",
    "* `CircObj`, `RectObj`, `RTriObj` 클래스 작성 (3점)\n",
    "* 같은 클래스의 인스턴스끼리 (`CircObj`끼리, `RectObj`끼리, `RTriObj`) 충돌 검사 테스트 사례 작성 및 각 테스트 사례를 svg 출력으로 확인 (3점)\n",
    "* 서로 다른 클래스의 (`CircObj`와 `RectObj`, `RectObj`와 `RTriObj`, `RTriObj`와 `CircObj`) 인스턴스 충돌 검사 테스트 사례 작성 및 각 테스트 사례를 svg 출력으로 확인 (3점)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.ShapeObj"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abstract class ShapeObj { // 어떤 추상적인 모양의 물건 클래스\n",
    "    Point p;   // 물건 위치에 대한 정보\n",
    "    RGB color; // 물건의 색깔\n",
    "    ShapeObj(Point p, RGB c) { this.p=p; color=c; }\n",
    "    abstract Point closest(Point p); // 점 p와 가장 까까운 도형에 포함된 점 (소수점 이하는 적절히 처리해 정수 좌표로)\n",
    "    abstract boolean collides(Point p); // 점 p와 충돌하는가?\n",
    "    abstract boolean collides(ShapeObj o); // o와 충돌하는가?\n",
    "    abstract String toSVG(); // svg 태그 생성\n",
    "    @Override\n",
    "    public String toString() { return toSVG(); }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.CircObj"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class CircObj extends ShapeObj { // 원 모양 물건 클래스\n",
    "    // 원의 경우 p는 중심이다\n",
    "    int r; // 반지름\n",
    "    CircObj(int r, Point p, RGB c) {\n",
    "        super(p, c); // 부모 클래스 생성자 호출\n",
    "        this.r = r;\n",
    "    }\n",
    "    // 아래를 완성하라 (1점)\n",
    "    @Override\n",
    "    Point closest(Point p2) {\n",
    "        double dist;\n",
    "        double m = 0.0;\n",
    "        double dtx, dty;\n",
    "        long tx, ty;\n",
    "        \n",
    "        m = (double)( p.y - p2.y ) / ( p.x - p2.y ); //기울기 계산\n",
    "        dist = Math.sqrt(Math.pow((p.x - p2.x),2) + Math.pow((p.y - p2.y),2) ); // 두 점간 거리 계산\n",
    "        \n",
    "        dtx = ( r / (1 + Math.pow(m,2)) ) + p.x;\n",
    "        dty = ( r / (1 + Math.pow(m,2)) ) + p.y;\n",
    "        \n",
    "        tx = Math.round(dtx);\n",
    "        ty = Math.round(dty);\n",
    "        \n",
    "        \n",
    "        if(dist < r){\n",
    "            return new Point( p2.x, p2.y );\n",
    "        }else{\n",
    "            return new Point( (int)tx, (int)ty );\n",
    "        }\n",
    "        \n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    boolean collides(Point p2) {\n",
    "        \n",
    "        double dist;\n",
    "        \n",
    "        dist = Math.sqrt(Math.pow((p.x - p2.x),2) + Math.pow((p.y - p2.y),2) );// 두 점간 거리 계산 \n",
    "      \n",
    "        if(dist <= r){\n",
    "            return true;\n",
    "        }else{\n",
    "            return false;\n",
    "        }\n",
    "      \n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    boolean collides(ShapeObj o) {\n",
    "        \n",
    "        int tx, ty;\n",
    "        \n",
    "        tx = this.closest(o.p).x;\n",
    "        ty = this.closest(o.p).y;\n",
    "        \n",
    "        Point tp = new Point(tx, ty);\n",
    "        \n",
    "        return o.collides(tp);\n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    String toSVG() {\n",
    "        return \"<circle cx='\"+p.x+\"' cy='\"+p.y+\"' r='\"+r+\"' style='stroke:black; stroke-width:1; fill:\"+color+\"; opacity:0.33' />\";\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<circle cx='50' cy='50' r='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<circle cx='110' cy='110' r='100' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "<circle cx='160' cy='160' r='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<circle cx='220' cy='220' r='10' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "가장 가까운점 출력\n",
      "70, 70\n",
      "160, 160\n",
      "180, 180\n",
      "70, 70\n",
      "160, 160\n",
      "점 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "true\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n"
     ]
    },
    {
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      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "\n",
    "CircObj c1 = new CircObj(40, new Point( 50, 50), red);\n",
    "CircObj c2 = new CircObj(100, new Point(110,110), blue);\n",
    "CircObj c3 = new CircObj(40, new Point(160,160), red);\n",
    "CircObj c4 = new CircObj(10, new Point(220,220), blue);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "System.out.println( c1.toSVG() );\n",
    "System.out.println( c2.toSVG() );\n",
    "System.out.println( c3.toSVG() );\n",
    "System.out.println( c4.toSVG() );\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( c1.closest(p2).x + \", \" + c1.closest(p2).y );\n",
    "System.out.println( c2.closest(p3).x + \", \" + c2.closest(p3).y );\n",
    "System.out.println( c3.closest(p4).x + \", \" + c3.closest(p4).y );\n",
    "\n",
    "System.out.println( c1.closest(p3).x + \", \" + c1.closest(p3).y );\n",
    "System.out.println( c2.closest(p4).x + \", \" + c2.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( c1.collides(p2) );\n",
    "System.out.println( c2.collides(p3) );\n",
    "System.out.println( c3.collides(p4) );\n",
    "\n",
    "System.out.println( c1.collides(p3) );\n",
    "System.out.println( c2.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( c1.collides(c2) ); // 이런 결과가\n",
    "System.out.println( c2.collides(c3) ); // 이런 결과가\n",
    "System.out.println( c3.collides(c4) ); // 이런 결과가\n",
    "\n",
    "System.out.println( c1.collides(c3) ); // 요런 결과가\n",
    "System.out.println( c2.collides(c4) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + c1 + c2 + c3 + c4 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv+\"</div>\");\n",
    "return widget; // 그림에 나타나는 것과 맞는지 시각적으로 확인해 볼 수 있도록 toSVG를 정의한 것이다"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.RectObj"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "public class RectObj extends ShapeObj { // 직사각형 모양 물건 클래스\n",
    "    // 직사각형의 경우 경우 p는 왼쪽 위 꼭지점이다\n",
    "    int w; // 너비 (양수)\n",
    "    int h; // 높이 (양수)\n",
    "    \n",
    "    RectObj(int w, int h, Point p, RGB c) {\n",
    "        super(p, c); // 부모 클래스 생성자 호출\n",
    "        this.w = w;\n",
    "        this.h = h;\n",
    "    }\n",
    "\n",
    "    @Override\n",
    "    Point closest(Point p2) {\n",
    "        \n",
    "        int tx, ty;\n",
    "        \n",
    "        tx = p2.x;\n",
    "        ty = p2.y;\n",
    "        \n",
    "        if(this.collides(p2)){\n",
    "            return p2;\n",
    "        }else{\n",
    "            \n",
    "            if(p2.x < p.x){\n",
    "                tx = p.x;\n",
    "            }else if(p2.x > p.x + w){\n",
    "                tx = p.x + w;\n",
    "            }\n",
    "            \n",
    "            if(p2.y < p.y ){\n",
    "                ty = p.y;\n",
    "            }else if(p2.y > p.y + h){\n",
    "                ty = p.y + h;\n",
    "            }\n",
    "            \n",
    "            return new Point(tx, ty);\n",
    "            \n",
    "        }\n",
    "    }\n",
    "        \n",
    "    @Override\n",
    "    boolean collides(Point p2) {\n",
    "        \n",
    "        if( p.x <= p2.x && p2.x <= p.x + w && p.y <= p2.y && p2.y <= p.y + h ){\n",
    "            return true;\n",
    "        }else{\n",
    "            return false;\n",
    "        }\n",
    "        \n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    boolean collides(ShapeObj o) {\n",
    "         int tx, ty;\n",
    "        \n",
    "        tx = this.closest(o.p).x;\n",
    "        ty = this.closest(o.p).y;\n",
    "        \n",
    "        Point tp = new Point(tx, ty);\n",
    "        \n",
    "        return o.collides(tp);\n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    String toSVG() {\n",
    "        return \"<rect x='\"+p.x+\"' y='\"+p.y+\"' width='\"+w+\"' height='\"+h+\"' style='stroke:black; stroke-width:1; fill:\"+color+\"; opacity:0.33' />\";\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<rect x='50' y='50' width='40' height='50' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<rect x='110' y='110' width='100' height='110' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "<rect x='160' y='160' width='40' height='50' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<rect x='220' y='220' width='10' height='20' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "가장 가까운점 출력\n",
      "90, 100\n",
      "160, 160\n",
      "200, 210\n",
      "90, 100\n",
      "210, 220\n",
      "점 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n"
     ]
    },
    {
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      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "\n",
    "RectObj r1 = new RectObj(40, 50, new Point( 50, 50), red);\n",
    "RectObj r2 = new RectObj(100, 110, new Point(110,110), blue);\n",
    "RectObj r3 = new RectObj(40, 50, new Point(160,160), red);\n",
    "RectObj r4 = new RectObj(10, 20, new Point(220,220), blue);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "System.out.println( r1.toSVG() );\n",
    "System.out.println( r2.toSVG() );\n",
    "System.out.println( r3.toSVG() );\n",
    "System.out.println( r4.toSVG() );\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( r1.closest(p2).x + \", \" + r1.closest(p2).y );\n",
    "System.out.println( r2.closest(p3).x + \", \" + r2.closest(p3).y );\n",
    "System.out.println( r3.closest(p4).x + \", \" + r3.closest(p4).y );\n",
    "\n",
    "System.out.println( r1.closest(p3).x + \", \" + r1.closest(p3).y );\n",
    "System.out.println( r2.closest(p4).x + \", \" + r2.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( r1.collides(p2) );\n",
    "System.out.println( r2.collides(p3) );\n",
    "System.out.println( r3.collides(p4) );\n",
    "\n",
    "System.out.println( r1.collides(p3) );\n",
    "System.out.println( r2.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( r1.collides(r2) ); // 이런 결과가\n",
    "System.out.println( r2.collides(r3) ); // 이런 결과가\n",
    "System.out.println( r3.collides(r4) ); // 이런 결과가\n",
    "\n",
    "System.out.println( r1.collides(r3) ); // 요런 결과가\n",
    "System.out.println( r2.collides(r4) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + r1 + r2 + r3 + r4 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv+\"</div>\");\n",
    "return widget; // 그림에 나타나는 것과 맞는지 시각적으로 확인해 볼 수 있도록 toSVG를 정의한 것이다"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.RTriObj"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class RTriObj extends ShapeObj { // 직각삼각형 모양 물건 클래스\n",
    "    int w; // 직각인 꼭지점으로부터 음수/양수로 왼쪽/오른쪽 방향으로의 w만큼 떨어진 꼭지점 나타냄\n",
    "    int h; // 직각인 꼭지점으로부터 음수/양수로 아래쪽/위쪽 방향으로의 h만큼 떨어진 꼭지점 나타냄\n",
    "    \n",
    "    RTriObj(int w, int h, Point p, RGB c) {\n",
    "        super(p, c); // 부모 클래스 생성자 호출\n",
    "        this.w = w;\n",
    "        this.h = h;\n",
    "    }\n",
    "\n",
    "    @Override\n",
    "    Point closest(Point p2) {// 가까운 점 구하는 함수\n",
    "        \n",
    "        double m1, m2;\n",
    "        double b1, b2;\n",
    "        \n",
    "        int ay = p.y + h;\n",
    "        int bx = p.x + w;\n",
    "        \n",
    "        int tx = p2.x;\n",
    "        int ty = p2.y;\n",
    "        \n",
    "        m1 = -h / (double)w; // 빗변의 기울기\n",
    "        m2 = -1 / m1; //빗변의 법선 기울기\n",
    "        \n",
    "        b1 = p.y - ( m1 * bx ); // 빗변을 포함한 직선 방정식의 상수\n",
    "        b2 = p2.y - ( m2 * p2.x ); // 법선의 직선 방정식의 상수\n",
    "        \n",
    "        double _x = (b2 - b1)/(m1 - m2);\n",
    "        double _y = m1*((b2 -b1)/(m1 -m2)) + b1;\n",
    "        \n",
    "        long x = Math.round(_x);\n",
    "        long y = Math.round(_y);\n",
    "        \n",
    "        if(collides(p2)){\n",
    "            return p2;\n",
    "        }else if(p2.x == p.x && p2.y > ay ){\n",
    "            ty = ay;\n",
    "        }else if(p2.y == p.y && p2.x > bx ){\n",
    "            tx = bx;\n",
    "        }else if( p.x > p2.x || p.y > p2.y){\n",
    "            return p;\n",
    "        }else{\n",
    "            \n",
    "            tx = (int)x;\n",
    "            ty = (int)y;\n",
    "        }\n",
    "        \n",
    "        return new Point( tx, ty ); // 함수를 작성하라\n",
    "    }\n",
    "    @Override\n",
    "    boolean collides(Point p2) {\n",
    "        \n",
    "        double dm;\n",
    "        int y, b;\n",
    "        long m;\n",
    "        \n",
    "        dm = ( ( p.y + h ) - p.y ) / (p.x - (p.x + w));\n",
    "        \n",
    "        m = Math.round(dm);\n",
    "        b = p.y - (int)m * ( p.x + w );\n",
    "        \n",
    "        y = (int)m * p2.x + b;\n",
    "           \n",
    "        \n",
    "         if( p.x <= p2.x && p2.x <= p.x + w && p.y <= p2.y && p2.y <= p.y + h ){\n",
    "             \n",
    "             if( y < p2.y){\n",
    "                 return false;\n",
    "             }else{\n",
    "                 return true;\n",
    "             }\n",
    "             \n",
    "        }else{\n",
    "            return false;\n",
    "        }\n",
    "        \n",
    "    }\n",
    "    @Override\n",
    "    boolean collides(ShapeObj o) {\n",
    "        int tx, ty;\n",
    "        \n",
    "        tx = this.closest(o.p).x;\n",
    "        ty = this.closest(o.p).y;\n",
    "        \n",
    "        Point tp = new Point(tx, ty);\n",
    "        \n",
    "        return o.collides(tp);\n",
    "    }\n",
    "    @Override\n",
    "    String toSVG() {\n",
    "        int pa = p.x + w;\n",
    "        int pb = p.y + h;\n",
    "        \n",
    "        String points = \"'\" + p.x + \",\"+ p.y + \" \" + pa + \",\" + p.y + \" \" + p.x + \",\" + pb  + \"'\";\n",
    "        \n",
    "        return \"<polygon points=\"+ points +\"style='stroke:black; stroke-width:1; fill:\"+color+\"; opacity:0.33'/>\";\n",
    "    }\n",
    "\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<polygon points='50,50 90,50 50,100'style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33'/>\n",
      "<polygon points='110,110 210,110 110,160'style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33'/>\n",
      "<polygon points='160,160 200,160 160,210'style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33'/>\n",
      "<polygon points='220,220 230,220 220,240'style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33'/>\n",
      "가장 가까운점 출력\n",
      "69, 77\n",
      "150, 140\n",
      "179, 187\n",
      "64, 83\n",
      "174, 128\n",
      "점 충돌 결과\n",
      "false\n",
      "false\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "false\n",
      "false\n",
      "false\n",
      "false\n",
      "false\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8797b274-9592-4758-9a44-55f5e443e221",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "RGB black = new RGB(0,0,0);\n",
    "\n",
    "RTriObj r1 = new RTriObj(40, 50, new Point( 50, 50), red);\n",
    "RTriObj r2 = new RTriObj(100, 50, new Point(110,110), blue);\n",
    "RTriObj r3 = new RTriObj(40, 50, new Point(160,160), red);\n",
    "RTriObj r4 = new RTriObj(10, 20, new Point(220,220), blue);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "CircObj c1 = new CircObj(1, r1.closest(p2), black);\n",
    "CircObj c2 = new CircObj(1, r2.closest(p3), black);\n",
    "CircObj c3 = new CircObj(1, r3.closest(p4), black);\n",
    "CircObj c4 = new CircObj(1, r1.closest(p3), black);\n",
    "CircObj c5 = new CircObj(1, r2.closest(p4), black);\n",
    "\n",
    "System.out.println( r1.toSVG() );\n",
    "System.out.println( r2.toSVG() );\n",
    "System.out.println( r3.toSVG() );\n",
    "System.out.println( r4.toSVG() );\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( r1.closest(p2).x + \", \" + r1.closest(p2).y );\n",
    "System.out.println( r2.closest(p3).x + \", \" + r2.closest(p3).y );\n",
    "System.out.println( r3.closest(p4).x + \", \" + r3.closest(p4).y );\n",
    "\n",
    "System.out.println( r1.closest(p3).x + \", \" + r1.closest(p3).y );\n",
    "System.out.println( r2.closest(p4).x + \", \" + r2.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( r1.collides(p2) );\n",
    "System.out.println( r2.collides(p3) );\n",
    "System.out.println( r3.collides(p4) );\n",
    "\n",
    "System.out.println( r1.collides(p3) );\n",
    "System.out.println( r2.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( r1.collides(r2) ); // 이런 결과가\n",
    "System.out.println( r2.collides(r3) ); // 이런 결과가\n",
    "System.out.println( r3.collides(r4) ); // 이런 결과가\n",
    "\n",
    "System.out.println( r1.collides(r3) ); // 요런 결과가\n",
    "System.out.println( r2.collides(r4) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + r1 + r2 + r3 + r4 + c1 + c2 + c3 + c4 + c5 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv+\"</div>\");\n",
    "return widget;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<polygon points='50,50 90,50 50,100'style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33'/>\n",
      "<circle cx='110' cy='110' r='100' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "<rect x='160' y='160' width='40' height='50' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<circle cx='220' cy='220' r='10' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "가장 가까운점 출력\n",
      "69, 77\n",
      "160, 160\n",
      "200, 210\n",
      "64, 83\n",
      "160, 160\n",
      "점 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "true\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0bff9eef-e5fa-485d-8d4b-74141e618f84",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "RGB black = new RGB(0,0,0);\n",
    "\n",
    "RTriObj r1 = new RTriObj(40, 50, new Point( 50, 50), red);\n",
    "CircObj c1 = new CircObj(100, new Point(110,110), blue);\n",
    "RectObj r2 = new RectObj(40, 50, new Point(160,160), red);\n",
    "CircObj c2 = new CircObj(10, new Point(220,220), blue);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "// 가장 가까운점\n",
    "CircObj d1 = new CircObj(1, r1.closest(p2), black);\n",
    "CircObj d2 = new CircObj(1, c1.closest(p3), black);\n",
    "CircObj d3 = new CircObj(1, r2.closest(p4), black);\n",
    "\n",
    "CircObj d4 = new CircObj(1, r1.closest(p3), black);\n",
    "CircObj d5 = new CircObj(1, c1.closest(p4), black);\n",
    "\n",
    "System.out.println( r1.toSVG() );\n",
    "System.out.println( c1.toSVG() );\n",
    "System.out.println( r2.toSVG() );\n",
    "System.out.println( c2.toSVG() );\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( r1.closest(p2).x + \", \" + r1.closest(p2).y );\n",
    "System.out.println( c1.closest(p3).x + \", \" + c1.closest(p3).y );\n",
    "System.out.println( r2.closest(p4).x + \", \" + r2.closest(p4).y );\n",
    "\n",
    "System.out.println( r1.closest(p3).x + \", \" + r1.closest(p3).y );\n",
    "System.out.println( c1.closest(p4).x + \", \" + c1.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( r1.collides(p2) );\n",
    "System.out.println( c1.collides(p3) );\n",
    "System.out.println( r2.collides(p4) );\n",
    "\n",
    "System.out.println( r1.collides(p3) );\n",
    "System.out.println( c1.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( r1.collides(c1) ); // 이런 결과가\n",
    "System.out.println( c1.collides(r2) ); // 이런 결과가\n",
    "System.out.println( r2.collides(c2) ); // 이런 결과가\n",
    "\n",
    "System.out.println( r1.collides(r2) ); // 요런 결과가\n",
    "System.out.println( c1.collides(c2) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + r1 + c1 + r2 + c2 + d1 + d2 + d3 + d4 + d5 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv+\"</div>\");\n",
    "return widget;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 두번째 설계\n",
    "첫번째 설계와 같은 문제를 해결하지만 조금 다른 방식의 설계로 프로그램을 재작성해 보라.\n",
    "* `Circle`, `Rectangle`, `RTriangle` 클래스를 작성하라 (1점)\n",
    "* 첫번째에서 했던 같은 테스트 사례들로 모두 실행해 보라 (3점)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.Shape"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abstract class Shape { // 어떤 추상적인 모양 클래스\n",
    "    RGB color; // 물건의 색깔\n",
    "    Shape(RGB c) { color=c; }\n",
    "    abstract String toSVG(Point self);\n",
    "    abstract Point closest(Point self, Point p);\n",
    "    abstract boolean collides(Point self, Point p);\n",
    "    abstract boolean collides(Point self, Obj o);\n",
    "}\n",
    "\n",
    "class Obj {\n",
    "    Point p;\n",
    "    Shape s; // Shape이 Obj의 속성이다\n",
    "    Obj(Point _p, Shape _s) { p=_p; s=_s; }\n",
    "    Point closest(Point p) { return s.closest(this.p, p); } // 점 p와 가장 까까운 도형에 포함된 점 (소수점 이하는 적절히 처리해 정수 좌표로)\n",
    "    boolean collides(Point p) { return s.collides(this.p, p); } // 점 p와 충돌하는가?\n",
    "    boolean collides(Obj o) { return s.collides(this.p, o); } // o와 충돌하는가\n",
    "    @Override\n",
    "    public String toString() { return s.toSVG(this.p); }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.Circle"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class Circle extends Shape { // 원 모양 클래스\n",
    "    int r;\n",
    "    Circle(int r, RGB c) { super(c); this.r = r; }\n",
    "    @Override\n",
    "    Point closest(Point self, Point p) {\n",
    "        double dist;\n",
    "        double m = 0.0;\n",
    "        double dtx, dty;\n",
    "        long tx, ty;\n",
    "        \n",
    "        m = (double)( self.y - p.y ) / ( self.x - p.x ); //기울기 계산\n",
    "        dist = Math.sqrt(Math.pow((self.x - p.x),2) + Math.pow((self.y - p.y),2) ); // 두 점간 거리 계산\n",
    "        \n",
    "        dtx = ( r / (1 + Math.pow(m,2)) ) + self.x;\n",
    "        dty = ( r / (1 + Math.pow(m,2)) ) + self.y;\n",
    "        \n",
    "        tx = Math.round(dtx);\n",
    "        ty = Math.round(dty);\n",
    "        \n",
    "        \n",
    "        if(dist < r){\n",
    "            return new Point( p.x, p.y );\n",
    "        }else{\n",
    "            return new Point( (int)tx, (int)ty );\n",
    "        }\n",
    "    }\n",
    "    @Override\n",
    "    boolean collides(Point self, Point p) {\n",
    "        double dist;\n",
    "        \n",
    "        dist = Math.sqrt(Math.pow((self.x - p.x),2) + Math.pow((self.y - p.y),2) );// 두 점간 거리 계산 \n",
    "      \n",
    "        if(dist <= r){\n",
    "            return true;\n",
    "        }else{\n",
    "            return false;\n",
    "        }\n",
    "    }\n",
    "    @Override\n",
    "    boolean collides(Point self, Obj o) {\n",
    "        int tx, ty;\n",
    "        \n",
    "        tx = this.closest(self, o.p).x;\n",
    "        ty = this.closest(self, o.p).y;\n",
    "        \n",
    "        Point tp = new Point(tx, ty);\n",
    "        \n",
    "        return o.collides(tp);\n",
    "    }\n",
    "    @Override\n",
    "    String toSVG(Point self) {\n",
    "        return \"<circle cx='\"+self.x+\"' cy='\"+self.y+\"' r='\"+r+\"' style='stroke:black; stroke-width:1; fill:\"+color+\"; opacity:0.33' />\";\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<circle cx='50' cy='50' r='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<circle cx='110' cy='110' r='100' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "<circle cx='160' cy='160' r='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<circle cx='220' cy='220' r='100' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "가장 가까운점 출력\n",
      "70, 70\n",
      "160, 160\n",
      "180, 180\n",
      "70, 70\n",
      "160, 160\n",
      "점 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "true\n",
      "true\n",
      "true\n",
      "false\n",
      "true\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bffd1137-dc63-4016-a6ce-69442a433653",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "RGB magenta = new RGB(255,0,255);\n",
    "RGB black = new RGB(0,0,0);\n",
    "\n",
    "Circle s1 = new Circle(40, red);\n",
    "Circle s2 = new Circle(100, blue);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "Obj o1 = new Obj(p1, s1);\n",
    "Obj o2 = new Obj(p2, s2);\n",
    "Obj o3 = new Obj(p3, s1);\n",
    "Obj o4 = new Obj(p4, s2);\n",
    "\n",
    "System.out.println( o1 );\n",
    "System.out.println( o2 );\n",
    "System.out.println( o3 );\n",
    "System.out.println( o4 );\n",
    "\n",
    "CircObj d1 = new CircObj(1, o1.closest(p2), black);\n",
    "CircObj d2 = new CircObj(1, o2.closest(p3), black);\n",
    "CircObj d3 = new CircObj(1, o3.closest(p4), black);\n",
    "CircObj d4 = new CircObj(1, o1.closest(p3), black);\n",
    "CircObj d5 = new CircObj(1, o2.closest(p4), black);\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( o1.closest(p2).x + \", \" + o1.closest(p2).y );\n",
    "System.out.println( o2.closest(p3).x + \", \" + o2.closest(p3).y );\n",
    "System.out.println( o3.closest(p4).x + \", \" + o3.closest(p4).y );\n",
    "\n",
    "System.out.println( o1.closest(p3).x + \", \" + o1.closest(p3).y );\n",
    "System.out.println( o2.closest(p4).x + \", \" + o2.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( o1.collides(p2) );\n",
    "System.out.println( o2.collides(p3) );\n",
    "System.out.println( o3.collides(p4) );\n",
    "\n",
    "System.out.println( o1.collides(p3) );\n",
    "System.out.println( o2.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( o1.collides(o2) ); // 이런 결과가\n",
    "System.out.println( o2.collides(o3) ); // 이런 결과가\n",
    "System.out.println( o3.collides(o4) ); // 이런 결과가\n",
    "\n",
    "System.out.println( o1.collides(o3) ); // 요런 결과가\n",
    "System.out.println( o2.collides(o4) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv1 =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 + d1 + d2 + d3 + d4 + d5 +\n",
    "    \"</svg>\";\n",
    "\n",
    "// s1 = new Circle(60, magenta);\n",
    "s1.color = magenta; \n",
    "s1.r =40;\n",
    "\n",
    "String sgv2 = \n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv1+\"</div>\"+\"<div>\"+sgv2+\"</div>\");\n",
    "return widget; // 그림에 나타나는 것과 맞는지 시각적으로 확인해 볼 수 있도록 toSVG를 정의한 것이다"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.Rectangle"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class Rectangle extends Shape { // 직사각형 모양 클래스\n",
    "    int w; // 너비 (양수)\n",
    "    int h; // 높이 (양수)\n",
    "    Rectangle(int w, int h, RGB c) {\n",
    "        super(c); \n",
    "        this.w = w; \n",
    "        this.h = h; \n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    Point closest(Point self, Point p){\n",
    "        int tx, ty;\n",
    "        \n",
    "        tx = p.x;\n",
    "        ty = p.y;\n",
    "        \n",
    "        if(this.collides(self, p)){\n",
    "            return p;\n",
    "        }else{\n",
    "            \n",
    "            if(p.x < self.x){\n",
    "                tx = self.x;\n",
    "            }else if(p.x > self.x + w){\n",
    "                tx = self.x + w;\n",
    "            }\n",
    "            \n",
    "            if(p.y < self.y ){\n",
    "                ty = self.y;\n",
    "            }else if(p.y > self.y + h){\n",
    "                ty = self.y + h;\n",
    "            }\n",
    "            \n",
    "            return new Point(tx, ty);\n",
    "            \n",
    "        }\n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    boolean collides(Point self, Point p){\n",
    "        if( self.x <= p.x && p.x <= self.x + w && self.y <= p.y && p.y <= self.y + h ){\n",
    "            return true;\n",
    "        }else{\n",
    "            return false;\n",
    "        }\n",
    "    }\n",
    "    \n",
    "    \n",
    "    @Override\n",
    "    boolean collides(Point self, Obj o){\n",
    "        int tx, ty;\n",
    "        \n",
    "        tx = this.closest(self, o.p).x;\n",
    "        ty = this.closest(self, o.p).y;\n",
    "        \n",
    "        Point tp = new Point(tx, ty);\n",
    "        \n",
    "        return o.collides(tp);\n",
    "    }\n",
    "    \n",
    "    \n",
    "    @Override\n",
    "    String toSVG(Point self) {\n",
    "        return \"<rect x='\"+self.x+\"' y='\"+self.y+\"' width='\"+w+\"' height='\"+h+\"' style='stroke:black; stroke-width:1; fill:\"+color+\"; opacity:0.33' />\";\n",
    "    }\n",
    "\n",
    "      \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<rect x='50' y='50' width='40' height='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<rect x='110' y='110' width='100' height='50' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "<rect x='160' y='160' width='40' height='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<rect x='220' y='220' width='100' height='50' style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33' />\n",
      "가장 가까운점 출력\n",
      "90, 90\n",
      "160, 160\n",
      "200, 200\n",
      "90, 90\n",
      "210, 160\n",
      "점 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "671f2186-fc42-4f2f-8e60-1075bafd154b",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "RGB magenta = new RGB(255,0,255);\n",
    "RGB black = new RGB(0,0,0);\n",
    "\n",
    "Rectangle r1 = new Rectangle(40, 40, red);\n",
    "Rectangle r2 = new Rectangle(100, 50, blue);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "Obj o1 = new Obj(p1, r1);\n",
    "Obj o2 = new Obj(p2, r2);\n",
    "Obj o3 = new Obj(p3, r1);\n",
    "Obj o4 = new Obj(p4, r2);\n",
    "\n",
    "System.out.println( o1 );\n",
    "System.out.println( o2 );\n",
    "System.out.println( o3 );\n",
    "System.out.println( o4 );\n",
    "\n",
    "CircObj d1 = new CircObj(1, o1.closest(p2), black);\n",
    "CircObj d2 = new CircObj(1, o2.closest(p3), black);\n",
    "CircObj d3 = new CircObj(1, o3.closest(p4), black);\n",
    "CircObj d4 = new CircObj(1, o1.closest(p3), black);\n",
    "CircObj d5 = new CircObj(1, o2.closest(p4), black);\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( o1.closest(p2).x + \", \" + o1.closest(p2).y );\n",
    "System.out.println( o2.closest(p3).x + \", \" + o2.closest(p3).y );\n",
    "System.out.println( o3.closest(p4).x + \", \" + o3.closest(p4).y );\n",
    "\n",
    "System.out.println( o1.closest(p3).x + \", \" + o1.closest(p3).y );\n",
    "System.out.println( o2.closest(p4).x + \", \" + o2.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( o1.collides(p2) );\n",
    "System.out.println( o2.collides(p3) );\n",
    "System.out.println( o3.collides(p4) );\n",
    "\n",
    "System.out.println( o1.collides(p3) );\n",
    "System.out.println( o2.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( o1.collides(o2) ); // 이런 결과가\n",
    "System.out.println( o2.collides(o3) ); // 이런 결과가\n",
    "System.out.println( o3.collides(o4) ); // 이런 결과가\n",
    "\n",
    "System.out.println( o1.collides(o3) ); // 요런 결과가\n",
    "System.out.println( o2.collides(o4) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv1 =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 + d1 + d2 + d3 + d4 + d5 +\n",
    "    \"</svg>\";\n",
    "\n",
    "// s1 = new Circle(60, magenta);\n",
    "r1.color = magenta; \n",
    "r1.w =80;\n",
    "\n",
    "String sgv2 = \n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv1+\"</div>\"+\"<div>\"+sgv2+\"</div>\");\n",
    "return widget; // 그림에 나타나는 것과 맞는지 시각적으로 확인해 볼 수 있도록 toSVG를 정의한 것이다"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "com.twosigma.beaker.javash.bkr50d5a6a6.RTriangle"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class RTriangle extends Shape {\n",
    "    int w; // 직각인 꼭지점으로부터 음수/양수로 왼쪽/오른쪽 방향으로의 w만큼 떨어진 꼭지점 나타냄\n",
    "    int h; // 직각인 꼭지점으로부터 음수/양수로 아래쪽/위쪽 방향으로의 h만큼 떨어진 꼭지점 나타냄\n",
    "RTriangle(int w, int h, RGB c) {\n",
    "        super(c); \n",
    "        this.w = w; \n",
    "        this.h = h; \n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    Point closest(Point self, Point p){\n",
    "        \n",
    "        double m1, m2;\n",
    "        double b1, b2;\n",
    "        \n",
    "        int ay = self.y + h;\n",
    "        int bx = self.x + w;\n",
    "        \n",
    "        int tx = p.x;\n",
    "        int ty = p.y;\n",
    "        \n",
    "        m1 = -h / (double)w; // 빗변의 기울기\n",
    "        m2 = -(1 / m1); //빗변의 법선 기울기\n",
    "        \n",
    "        b1 = self.y - ( m1 * bx ); // 빗변을 포함한 직선 방정식의 상수\n",
    "        b2 = p.y - ( m2 * p.x ); // 법선의 직선 방정식의 상수\n",
    "        \n",
    "        double _x = (b2 - b1)/(m1 - m2);\n",
    "        double _y = m1*((b2 -b1)/(m1 -m2)) + b1;\n",
    "        \n",
    "        long x = Math.round(_x);\n",
    "        long y = Math.round(_y);\n",
    "        \n",
    "        if(collides(self, p)){\n",
    "            return p;\n",
    "        }else if(p.x == self.x && p.y > self.y + h ){\n",
    "            ty = self.y + h;\n",
    "        }else if(p.y == self.y && p.x > self.x + w ){\n",
    "            tx = self.x + w;\n",
    "        }else if( self.x > p.x || self.y > p.y){\n",
    "            return self;\n",
    "        }else{\n",
    "            \n",
    "            tx = (int)x;\n",
    "            ty = (int)y;\n",
    "        }\n",
    "        \n",
    "        return new Point(tx, ty);\n",
    "        \n",
    "    }\n",
    "    \n",
    "    @Override\n",
    "    boolean collides(Point self, Point p){\n",
    "        double dm;\n",
    "        int y, b;\n",
    "        long m;\n",
    "        \n",
    "        dm = ( ( self.y + h ) - self.y ) / (self.x - (self.x + w));\n",
    "        \n",
    "        m = Math.round(dm);\n",
    "        b = self.y - (int)m * ( self.x + w );\n",
    "        \n",
    "        y = (int)m * p.x + b;\n",
    "           \n",
    "        \n",
    "         if( self.x <= p.x && p.x <= self.x + w && self.y <= p.y && p.y <= self.y + h ){\n",
    "             \n",
    "             if( y < p.y){\n",
    "                 return false;\n",
    "             }else{\n",
    "                 return true;\n",
    "             }\n",
    "             \n",
    "        }else{\n",
    "            return false;\n",
    "        }\n",
    "    }\n",
    "    \n",
    "    \n",
    "    @Override\n",
    "    boolean collides(Point self, Obj o){\n",
    "        int tx, ty;\n",
    "        \n",
    "        tx = this.closest(self, o.p).x;\n",
    "        ty = this.closest(self, o.p).y;\n",
    "        \n",
    "        Point tp = new Point(tx, ty);\n",
    "        \n",
    "        return o.collides(tp);\n",
    "    }\n",
    "    \n",
    "    \n",
    "    @Override\n",
    "    String toSVG(Point self) {\n",
    "        int pa = self.x + w;\n",
    "        int pb = self.y + h;\n",
    "        \n",
    "        String points = \"'\" + self.x + \",\"+ self.y + \" \" + pa + \",\" + self.y + \" \" + self.x + \",\" + pb  + \"'\";\n",
    "        \n",
    "        return \"<polygon points=\"+ points +\"style='stroke:black; stroke-width:1; fill:\"+color+\"; opacity:0.33'/>\";\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<polygon points='50,50 90,50 50,90'style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33'/>\n",
      "<polygon points='110,110 210,110 110,220'style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33'/>\n",
      "<polygon points='160,160 200,160 160,200'style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33'/>\n",
      "<polygon points='220,220 320,220 220,330'style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33'/>\n",
      "가장 가까운점 출력\n",
      "70, 70\n",
      "160, 160\n",
      "180, 180\n",
      "70, 70\n",
      "160, 165\n",
      "점 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7cc0f878-c698-470a-a306-0f1546088c7b",
       "version_major": 2,
       "version_minor": 0
      },
      "method": "display_data"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "RGB magenta = new RGB(255,0,255);\n",
    "RGB black = new RGB(0,0,0);\n",
    "\n",
    "RTriangle r1 = new RTriangle(40, 40, red);\n",
    "RTriangle r2 = new RTriangle(100, 110, blue);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "Obj o1 = new Obj(p1, r1);\n",
    "Obj o2 = new Obj(p2, r2);\n",
    "Obj o3 = new Obj(p3, r1);\n",
    "Obj o4 = new Obj(p4, r2);\n",
    "\n",
    "System.out.println( o1 );\n",
    "System.out.println( o2 );\n",
    "System.out.println( o3 );\n",
    "System.out.println( o4 );\n",
    "\n",
    "CircObj d1 = new CircObj(1, o1.closest(p2), black);\n",
    "CircObj d2 = new CircObj(1, o2.closest(p3), black);\n",
    "CircObj d3 = new CircObj(1, o3.closest(p4), black);\n",
    "CircObj d4 = new CircObj(1, o1.closest(p3), black);\n",
    "CircObj d5 = new CircObj(1, o2.closest(p4), black);\n",
    "\n",
    "CircObj d6 = new CircObj(1, p1, red);\n",
    "CircObj d7 = new CircObj(1, p2, red);\n",
    "CircObj d8 = new CircObj(1, p3, red);\n",
    "CircObj d9 = new CircObj(1, p4, red);\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( o1.closest(p2).x + \", \" + o1.closest(p2).y );\n",
    "System.out.println( o2.closest(p3).x + \", \" + o2.closest(p3).y );\n",
    "System.out.println( o3.closest(p4).x + \", \" + o3.closest(p4).y );\n",
    "\n",
    "System.out.println( o1.closest(p3).x + \", \" + o1.closest(p3).y );\n",
    "System.out.println( o2.closest(p4).x + \", \" + o2.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( o1.collides(p2) );\n",
    "System.out.println( o2.collides(p3) );\n",
    "System.out.println( o3.collides(p4) );\n",
    "\n",
    "System.out.println( o1.collides(p3) );\n",
    "System.out.println( o2.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( o1.collides(o2) ); // 이런 결과가\n",
    "System.out.println( o2.collides(o3) ); // 이런 결과가\n",
    "System.out.println( o3.collides(o4) ); // 이런 결과가\n",
    "\n",
    "System.out.println( o1.collides(o3) ); // 요런 결과가\n",
    "System.out.println( o2.collides(o4) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv1 =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 + d1 + d2 + d3 + d4 + d5 +\n",
    "    \"</svg>\";\n",
    "\n",
    "// s1 = new Circle(60, magenta);\n",
    "r1.color = magenta; \n",
    "r1.w =80;\n",
    "\n",
    "String sgv2 = \n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv1+\"</div>\"+\"<div>\"+sgv2+\"</div>\");\n",
    "return widget; // 그림에 나타나는 것과 맞는지 시각적으로 확인해 볼 수 있도록 toSVG를 정의한 것이다"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "<polygon points='50,50 90,50 50,90'style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33'/>\n",
      "<polygon points='110,110 210,110 110,220'style='stroke:black; stroke-width:1; fill:rgb(0,0,255); opacity:0.33'/>\n",
      "<circle cx='160' cy='160' r='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "<rect x='220' y='220' width='40' height='40' style='stroke:black; stroke-width:1; fill:rgb(255,0,0); opacity:0.33' />\n",
      "가장 가까운점 출력\n",
      "70, 70\n",
      "160, 160\n",
      "180, 180\n",
      "70, 70\n",
      "160, 165\n",
      "점 충돌 결과\n",
      "false\n",
      "true\n",
      "false\n",
      "false\n",
      "false\n",
      "도형 충돌 결과\n",
      "false\n",
      "true\n",
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   "source": [
    "import com.twosigma.beakerx.widget.*;\n",
    "\n",
    "RGB red = new RGB(255,0,0);\n",
    "RGB blue = new RGB(0,0,255);\n",
    "RGB magenta = new RGB(255,0,255);\n",
    "RGB black = new RGB(0,0,0);\n",
    "\n",
    "RTriangle r1 = new RTriangle(40, 40, red);\n",
    "RTriangle r2 = new RTriangle(100, 110, blue);\n",
    "Circle c1 = new Circle(40, red);\n",
    "Rectangle r3 = new Rectangle(40, 40, red);\n",
    "\n",
    "Point p1 = new Point(50, 50);\n",
    "Point p2 = new Point(110, 110);\n",
    "Point p3 = new Point(160, 160);\n",
    "Point p4 = new Point(220, 220);\n",
    "\n",
    "Obj o1 = new Obj(p1, r1);\n",
    "Obj o2 = new Obj(p2, r2);\n",
    "Obj o3 = new Obj(p3, c1);\n",
    "Obj o4 = new Obj(p4, r3);\n",
    "\n",
    "System.out.println( o1 );\n",
    "System.out.println( o2 );\n",
    "System.out.println( o3 );\n",
    "System.out.println( o4 );\n",
    "\n",
    "//점을 찍기위한 원 오브젝트\n",
    "CircObj d1 = new CircObj(1, o1.closest(p2), black);\n",
    "CircObj d2 = new CircObj(1, o2.closest(p3), black);\n",
    "CircObj d3 = new CircObj(1, o3.closest(p4), black);\n",
    "CircObj d4 = new CircObj(1, o1.closest(p3), black);\n",
    "CircObj d5 = new CircObj(1, o2.closest(p4), black);\n",
    "\n",
    "CircObj d6 = new CircObj(1, p1, red);\n",
    "CircObj d7 = new CircObj(1, p2, red);\n",
    "CircObj d8 = new CircObj(1, p3, red);\n",
    "CircObj d9 = new CircObj(1, p4, red);\n",
    "\n",
    "System.out.println(\"가장 가까운점 출력\");\n",
    "System.out.println( o1.closest(p2).x + \", \" + o1.closest(p2).y );\n",
    "System.out.println( o2.closest(p3).x + \", \" + o2.closest(p3).y );\n",
    "System.out.println( o3.closest(p4).x + \", \" + o3.closest(p4).y );\n",
    "\n",
    "System.out.println( o1.closest(p3).x + \", \" + o1.closest(p3).y );\n",
    "System.out.println( o2.closest(p4).x + \", \" + o2.closest(p4).y );\n",
    "\n",
    "System.out.println(\"점 충돌 결과\");\n",
    "System.out.println( o1.collides(p2) );\n",
    "System.out.println( o2.collides(p3) );\n",
    "System.out.println( o3.collides(p4) );\n",
    "\n",
    "System.out.println( o1.collides(p3) );\n",
    "System.out.println( o2.collides(p4) );\n",
    "\n",
    "System.out.println(\"도형 충돌 결과\");\n",
    "System.out.println( o1.collides(o2) ); // 이런 결과가\n",
    "System.out.println( o2.collides(o3) ); // 이런 결과가\n",
    "System.out.println( o3.collides(o4) ); // 이런 결과가\n",
    "\n",
    "System.out.println( o1.collides(o3) ); // 요런 결과가\n",
    "System.out.println( o2.collides(o4) ); // 요런 결과가\n",
    "\n",
    "HTML widget = new HTML();\n",
    "String sgv1 =\n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 + d1 + d2 + d3 + d4 + d5 +\n",
    "    \"</svg>\";\n",
    "\n",
    "// s1 = new Circle(60, magenta);\n",
    "r1.color = magenta; \n",
    "r1.w =80;\n",
    "\n",
    "String sgv2 = \n",
    "    \"<svg width='300' height='300' style='border:solid 1px'>\"\n",
    "    + o1 + o2 + o3 + o4 +\n",
    "    \"</svg>\";\n",
    "widget.setValue(\"<div>\"+sgv1+\"</div>\"+\"<div>\"+sgv2+\"</div>\");\n",
    "return widget; // 그림에 나타나는 것과 맞는지 시각적으로 확인해 볼 수 있도록 toSVG를 정의한 것이다"
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