Example #1
0
void drawSierpinskiTriangleHelper(GWindow& gw, double x, double y, int size, int order){
   if(order > 0)
        gw.drawLine(x, y, x + size, y);
        gw.drawLine(x, y, x + size/2, y - size*sqrt(3)/2);
        gw.drawLine(x + size, y, x + size/2, y - size*sqrt(3)/2);
        drawSierpinskiTriangleHelper(gw, x - size/4, y - size*sqrt(3)/4, size/2, order-1);
        drawSierpinskiTriangleHelper(gw, x + 3*size/4, y - size*sqrt(3)/4, size/2, order-1);
        drawSierpinskiTriangleHelper(gw, x + size/4, y + size*sqrt(3)/4, size/2, order-1);
    }
Example #2
0
/*
 * Display ChessBoard in graphics window
 */
void draw_ChessBoard(Grid<bool> &ChessBoard, GWindow &gw)
{
    int row = ChessBoard.numRows();
    int col = ChessBoard.numCols();
    double width = gw.getWidth();
    double height = gw.getHeight();
    double cell_width = width/col;
    double cell_height = height/row;

    for(int i = 0; i < row; i++)
    {
        gw.drawLine(0, i*cell_height, width, i*cell_height);
        gw.drawLine(i*cell_width, 0, i*cell_width, height);
    }

}
pair<double, double> drawCoordinateSystem(GWindow &graphicsWindow, int scale) {
    pair<double, double> result;
    result.first = graphicsWindow.getWidth() / 2;
    result.second = graphicsWindow.getHeight() / 2;
    graphicsWindow.drawLine(result.first, 0, result.first, result.second * 2);
    graphicsWindow.drawLine(0, result.second, result.first * 2, result.second);
    for (int x = -result.first / scale + 1; x <= result.first / scale - 1; x++)
        graphicsWindow.drawLine(result.first + x * scale, result.second - 5,
                                result.first + x * scale, result.second + 5);
    for (int y = -result.second / scale + 1; y <= result.second / scale - 1; y++)
        graphicsWindow.drawLine(result.first - 5, result.second + y * scale,
                                result.first + 5, result.second + y * scale);
    GLabel* xMark = new GLabel("x", result.first * 2 - 20, result.second + 15);
    graphicsWindow.add(xMark);
    GLabel* yMark = new GLabel("y", result.first + 10, 20);
    graphicsWindow.add(yMark);
    return result;
}
Example #4
0
void drawSierpinskiTriangle(GWindow& gw, double x, double y, double size, int order) {
    // TODO: write this function
    //gw.drawLine(20,20,30,80);
    if (order <= 0) return;
    if (order == 1) {
        gw.drawLine(x,y,x+size,y);
        gw.drawLine(x+size,y,x+0.5*size,y+sqrt(3)/2.0*size);
        gw.drawLine(x,y,x+0.5*size,y+sqrt(3)/2.0*size);
    }
    else
    {
        drawSierpinskiTriangle(gw, x, y, 0.5*size, order - 1);
        drawSierpinskiTriangle(gw, x + 0.5*size, y, 0.5*size, order - 1);
        drawSierpinskiTriangle(gw, x + 0.25*size, y + sqrt(3)/4.0*size, 0.5*size, order - 1);
    }



}
/*
 * Function:  drawSierpinskiTriangle();
 * --------------------
 * Draw a Sierpinski Triangle of a given order
 *
 * Preconditions: valid x,y values, order >=0
 *
 *  @param: Start position, size of sides, order of sierpinski triangle
 *  @return: Nothing, but does draw something
 */
void drawSierpinskiTriangle(GWindow& gw, double x, double y, int size, int order) {
    // If the order is >0, draw the first triangle (this case is a little different than rest)
    // If not, do nothing, as we should
    // Check to make sure out parameters are valid
    checkSierpinskiParams(gw, x, y, size, order);

    if(order>0) {
        //determine the new midpoints
        double x2=x+size*cos(PI/3);
        double y2=y+size*sin(PI/3);
        double x3=x+size;
        double y3=y;

        // Draw outer triangle
        gw.drawLine(x,y,x2,y2);
        gw.drawLine(x,y,x3,y3);
        gw.drawLine(x2,y2,x3,y3);
    }
    // Start the recursive process
    drawSierpinskiHelp(gw,x,y,size,order);
}
/*
 * Function:  drawSierpinskiHelp();
 * --------------------
 * Helper function that does the actual recursion
 *
 * Preconditions: valid x,y values, order >=0
 *
 *  @param: Start position, size of sides, order of sierpinski triangle
 *  @return: Nothing, but does draw something
 */
void drawSierpinskiHelp(GWindow& gw, double x, double y, int size, int order) {
    // As long as the order is large enough we will start recursing
    if(order>1){
        // Determine the new midpoints
        double x2=x+size*cos(PI/3);
        double y2=y+size*sin(PI/3);
        double x3=x+size;
        double y3=y;

        // Draw the triangle connecting the midpoints
        gw.drawLine((x2+x)/2,(y2+y)/2,(x3+x2)/2,(y2+y3)/2);
        gw.drawLine((x3+x2)/2,(y2+y3)/2,(x+x3)/2,(y3+y)/2);
        gw.drawLine((x3+x)/2,(y+y3)/2,(x2+x)/2,(y2+y)/2);

        /* Repeat this process with 3 recursive calls  */
        // Make starting point the top left corner
        drawSierpinskiTriangle(gw,x,y,size/2,order-1);
        // Make starting point middle of left edge
        drawSierpinskiTriangle(gw,(x2+x)/2,(y+y2)/2,size/2,order-1);
        // make starting point middle of top edge
        drawSierpinskiTriangle(gw,(x3+x)/2,(y+y3)/2,size/2,order-1);
    }
}
Example #7
0
//builds two lines from each of two gotten vertex and calls itself recursively until the depth of recursion becomes zero
void drawPythagoreanTree(GWindow &gw, GPoint endPoint1, GPoint endPoint2, double input_length, double theta, int recursion_depth){
        double theta_one = theta - THETA;
        double theta_two = theta + THETA;

        double length = input_length * cos(THETA_RADIAN);

        GPoint branch1_1 = gw.drawPolarLine(endPoint1, length*2, theta_one);
        GPoint branch1_2 = gw.drawPolarLine(endPoint2, length, theta_one);
        gw.setColor("YELLOW");
        gw.drawLine(branch1_1, branch1_2);
        GPoint branch2_1 = gw.drawPolarLine(endPoint1, length, theta_two);
        GPoint branch2_2 = gw.drawPolarLine(endPoint2, length*2, theta_two);
        gw.setColor("GREEN");
        gw.drawLine(branch2_1, branch2_2);

        recursion_depth--;

        if(recursion_depth == 0){
            return;
        }
        drawPythagoreanTree(gw, branch1_1, branch1_2, length, theta_one, recursion_depth);
        drawPythagoreanTree(gw, branch2_1, branch2_2, length, theta_two, recursion_depth);

}
Example #8
0
void drawSierpinkiTriangle(GPoint & top,int edge,int order,GWindow & gw) {
    int triangleHeight = (int)sqrt(pow((double)edge,2) - pow((double)edge/2,2));

    GPoint ptA = top;
    GPoint ptB((top.getX() - (triangleHeight/2)),(top.getY()+triangleHeight));
    GPoint ptC((top.getX() + (triangleHeight/2)),(top.getY()+triangleHeight));
    gw.drawLine(ptA,ptB);
    gw.drawLine(ptB,ptC);
    gw.drawLine(ptC,ptA);

    if(order != 0) {
        order -= 1;
        edge = edge / 2;
        if(edge != 0) {
            triangleHeight = triangleHeight / 2;
            GPoint ptAb = top;
            GPoint ptBb((top.getX()-(triangleHeight/2)),(top.getY()+triangleHeight));
            GPoint ptCb((top.getX() + (triangleHeight / 2)), (top.getY() + triangleHeight));
            drawSierpinkiTriangle(ptAb, edge, order, gw);
            drawSierpinkiTriangle(ptBb, edge, order, gw);
            drawSierpinkiTriangle(ptCb, edge, order, gw);
        }
    }
}