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001 - vektoren vektoren

TARGET


Zerlegen eines Vektors in 2 Vektoren gleicher Länge

NICHT FERTIG !!!


PROBLEMS

Das Mathematische wissen blieb in der HTL und mußte aufgefrischt werden - LINK, LINK.


USED PROCESSING-FUNCTIONS

Setup:

  • size()
  • smooth()
  • background()


Lines:

  • strokeWeight()
  • stroke()
  • line()


Text:

  • fill()
  • createFont()
  • textFont()
  • text()


Math:

  • sin()
  • cos()
  • atan2()


EXPERIENCE


CODE

PFont fontOut;
LegSegment legSeg1, legSeg2;

float centerx = 250;
float centery = 250;
float a2x = 250;
float a2y = 250;
float mx, my;
float seg1Len= 120;
float seg2Len= 70;

void setup() {
  size(500, 500);
  background(226);
  smooth();
  strokeWeight(20.0);
  fontOut = createFont("arial", 20);
  textFont(fontOut, 10);
 
  legSeg1= new LegSegment( seg1Len, centerx, centery );
  legSeg2= new LegSegment( seg2Len, centerx, centery );
 
}

void draw() {
  fill(0);
  background(226);
 
  mx= mouseX;
  my= mouseY;
 
  drawMouse();
 
  float m_angle=calcMouseAngle();

  float deltaX= mx - a2x;
  float deltaY= my - a2y;
  float legSeg1A= atan2( deltaY, deltaX );
   
  float tempX= mx - seg2Len * cos(m_angle);
  float tempY= my - seg2Len * cos(m_angle);
   
  deltaX= tempX - centerx;
  deltaY= tempY - centery;
   
  float legSeg2A= atan2( deltaY, deltaX );
  a2x= centerx + seg2Len * cos(legSeg2A);
  a2y= centery + seg2Len * sin(legSeg2A);
           
  legSeg1.setAngle( legSeg1A );
  legSeg1.setXY( a2x, a2y);
  legSeg2.setAngle( legSeg2A );
  legSeg2.setXY( centerx, centery ); 
 
  legSeg1.drawSegment(); 
  legSeg2.drawSegment();
}

void drawMouse () {

  // draws the green line to the mouse  
  stroke( 50, 200, 50, 100);
  line( a2x, a2y, mx, my);
  // draws the blue sin-line
  stroke( 50, 50, 200, 100);
  line( mx, my, mx, a2y);
  // drawa the red cos-line
  stroke( 200, 50, 50, 100);
  line( a2x, a2y, mx, a2y);
  // gives us data
  text("mx: "+round(mx), mx+5, my+2);
  text("my: "+round(my), mx+5, my+14);

  float m_angle= calcMouseAngle();
  float m_len= calcMouseLen();
  text("v: "+round(degrees(m_angle)), mx+50, my+2);
  text("l: "+round(m_len), mx+50, my+14); 
}

float calcMouseAngle () {
  float m_n_dx = mx - a2x;
  float m_n_dy = my - a2y;
  return atan2(m_n_dy, m_n_dx);
}

float calcMouseLen() {
  float m_n_dx = mx - a2x;
  float m_n_dy = my - a2y;
  return sqrt( m_n_dx * m_n_dx + m_n_dy * m_n_dy );
}

class LegSegment {
  float x;
  float y;
  float x2;
  float y2;
  float segAngle;
  float segLength;
  int r;
  int g;
  int b;
  int segAlpha;
 
  LegSegment( float ssegLength, float sx, float sy ) {
    segLength = ssegLength;
    x         = sx;
    y         = sy;
    segAngle  = 0;
    setColor( 100, 100, 100 );
    setAlpha( 100 );
    calcXY();
  }
 
  void setAngle( float sangle ) {
    segAngle= sangle;
    drawSegment();
  }
 
  void setLength( float slen ) {
    segLength= slen;
    drawSegment();
  }
 
  void setXY( float sx, float sy ) {
    x= sx;
    y= sy;
    drawSegment();
  }
 
  void calcXY() {
    x2= x + segLength * cos( segAngle );
    y2= y + segLength * sin( segAngle );
  }
 
  void setAlpha( int salpha ) {
    segAlpha= salpha;   
  }
 
  void setColor( int sr, int sg, int sb ) {
    r= sr;
    g= sg;
    b= sb;
  }
 
  void drawSegment() {
    calcXY();
    stroke( r, g , b, segAlpha );
    line ( x, y, x2, y2 );
  }
}