Analyyttisen geometrian funktiot (Tämä kirjasto sopii iPAD:lle)

Tämä kirjasto sisältää seuraavat komennot
  • Epäyhtälö
  • Koordinaatisto
  • Kommentti
  • Kulmakerroin
  • Lukusuora
  • Paraabeli
  • Piirtokolmio
  • Piste
  • Polynomi
  • Mittaa-funktiot
  • Suora y = kx + b
  • Suoran arvot
  • Suora kahden pisteen avulla
  • Viivoitin

// Ohjelman tehnyt e-Oppi Oy, Analyyttisen geometrian funktiot
// Viimeksi päivitetty: 31.8.2017
// Oletus täyttöväri
int R =250; // Oletus punainen
int G = 200; // Oletus vihreä
int B = 0; // Oletus sininen
int A = 100; // Oletus läpinäkyvyys

void setup () {
     size(601,601); // Älä muuta ikkunan kokoa
}
// Kaikki komennot laitetaan void draw ()-lohkoon
void draw () {
      koordinaatisto();
    // Kirjoita tähän kaikki komennot
}

// Tästä alkaa funktiot eli aliohjelmat
// Älä tee näihin muutoksia !!

// Koordinaatisto on suunniteltu 600x600 ikkunaan
void koordinaatisto() {
     fill(255);
     noStroke();
     rect(0,0,600,600);
     stroke(128);
     strokeWeight(1);
     for (int z = 0; z < 21; z++) {
         line(z*30,0,z*30,600); 
         line(0,0+z*30,600,z*30); 
     }
     strokeWeight(3);
     stroke(0,0,100);
     line(300,3,300,600);
     line(0,300,600,300);
     fill(0,0,100);
     triangle(590,290,598,300,590,310);
     triangle(300,3,310,10,290,10);
     text("x",580,285);
     text("y",315,20);
     textSize(20);
     text("1",323,320);
     text("1",280,280);
     translate(300,300);
     scale(1,-1);
     strokeWeight(2); // Oletus paksuus
     fill(R,G,B,A); // Oletusväri
     stroke(0);
}

void piste(float x, float y) {
     float x2 = map(x,-10,10,-300,300);
     float y2 = map(y,-10,10,-300,300);
     strokeWeight(3);
     // fill(255,0,0);
     ellipse(x2,y2,10,10);
     fill(R,G,B,A);
     strokeWeight(2);
     stroke(0);
}

void suora(float k, float b) {
     float b2 = map(b,-10,10,-300,300);
     for (int s=-3000; s<3000; s++) {
          float y =k*(s/10.0)+b2;
          ellipse((s/10.0),y,1,1);
     }
}
void epayhtalo(float k, float b, String merkki, float arvo) {
     float b2 = map(b,-10,10,-300,300);
     for (int s=-3000; s<3000; s++) {
          float y =k*(s/10.0)+b2;
          ellipse((s/10.0),y,1,1);
     }
     float x = (arvo-b)/k;
     strokeWeight(3);
      if ((k == 0) && (merkki== ">")){
        noStroke();
        if (b > arvo) {
        rect(-300,30*arvo,600,300-30*arvo);
        }
       
     }
        if ((k == 0) && (merkki== "<")){
        noStroke();
        if (b < arvo) {
        rect(-300,30*arvo,600,-300-30*arvo);
        }
       
     }
        if ((k == 0) && (merkki== ">=")){
        noStroke();
        if (b >= arvo) {
        rect(-300,30*arvo,600,300-30*arvo);
        }
       
     }
        if ((k == 0) && (merkki== "<=")){
        noStroke();
        if (b <= arvo) {
        rect(-300,30*arvo,600,-300-30*arvo);
        }
       
     }
     
     if ((k > 0) && (merkki == "<")) {
        noStroke();
        rect(30*x,30*arvo,-300-30*x,-300-30*arvo);
         noFill();
        strokeWeight(5);
        stroke(255,0,0);
         ellipse(30*x,arvo*30,20,20);
           line(30*x-10,30*arvo,-300,30*arvo);
     }
      if ((k < 0) && (merkki == "<")) {
         noStroke();
    
        rect(30*x,30*arvo,+300-30*x,-300-30*arvo);
        noFill();
        strokeWeight(5);
        stroke(255,0,0);
         ellipse(30*x,arvo*30,20,20);
         line(30*x+10,30*arvo,300,30*arvo);
     }
       if ((k > 0) && (merkki == ">")) {
        noStroke();
        rect(30*x,30*arvo,300-30*x,300-30*arvo);
        noFill();
        strokeWeight(5);
        stroke(255,0,0);
        ellipse(30*x,arvo*30,20,20);
        line(30*x+10,30*arvo,300,30*arvo);
     }
      if ((k < 0) && (merkki == ">")) {
        noStroke();
        rect(30*x,30*arvo,-300-30*x,300-30*arvo);
        noFill();
        strokeWeight(5);
        stroke(255,0,0);
        ellipse(30*x,arvo*30,20,20);
        line(-300,arvo*30,30*x-10,arvo*30);
     }
       if ((k > 0) && (merkki == "<=")) {
        noStroke();
        rect(30*x,30*arvo,-300-30*x,-300-30*arvo);
         fill(255,0,0);
        strokeWeight(5);
        stroke(255,0,0);
         ellipse(30*x,arvo*30,20,20);
           line(30*x-10,30*arvo,-300,30*arvo);
     }
      if ((k < 0) && (merkki == "<=")) {
         noStroke();
    
        rect(30*x,30*arvo,+300-30*x,-300-30*arvo);
         fill(255,0,0);
        strokeWeight(5);
        stroke(255,0,0);
         ellipse(30*x,arvo*30,20,20);
         line(30*x+10,30*arvo,300,30*arvo);
     }
       if ((k > 0) && (merkki == ">=")) {
        noStroke();
        rect(30*x,30*arvo,300-30*x,300-30*arvo);
         fill(255,0,0);
        strokeWeight(5);
        stroke(255,0,0);
        ellipse(30*x,arvo*30,20,20);
        line(30*x+10,30*arvo,300,30*arvo);
     }
      if ((k < 0) && (merkki == ">=")) {
        noStroke();
        rect(30*x,30*arvo,-300-30*x,300-30*arvo);
         fill(255,0,0);
        strokeWeight(5);
        stroke(255,0,0);
        ellipse(30*x,arvo*30,20,20);
        line(-300,arvo*30,30*x-10,arvo*30);
     }
     strokeWeight(2);
     fill(R,G,B,A);
}
void suoraXY(float x1, float y1, float x2, float y2) {
     float x21 = map(x1,-10,10,-300,300);
     float y21 = map(y1,-10,10,-300,300);
     float x22 = map(x2,-10,10,-300,300);
     float y22 = map(y2,-10,10,-300,300);
     float k = ((y2-y1)/(x2-x1));
     if (x1 == x2) {
       line(x1*30,300,x1*30,-300);
     }
     for (int s=-3000; s<3000; s++) {
         float y = k*(s/10.0)+(-k*x1+y1)*30;
         ellipse((s/10.0),y,1,1);
     }
     ellipse(x21,y21,10,10);
     ellipse(x22,y22,10,10);
}
void kulmakerroin(float x1, float y1, float x2, float y2) {
     float k = ((y2-y1)/(x2-x1));
     float x21 = map(x1,-10,10,-300,300);
     float y21 = map(y1,-10,10,-300,300);
     float x22 = map(x2,-10,10,-300,300);
     float y22 = map(y2,-10,10,-300,300);
     triangle(x21,y21,x22,y22,x22,y21);
     if (x1 == x2) {
       line(x1*30,300,x1*30,-300);
     }
     for (int s=-3000; s<3000; s++) {
          float y = k*(s/10.0)+(-k*x1+y1)*30;
          ellipse((s/10.0),y,1,1);
     }
     ellipse(x21,y21,10,10);
     ellipse(x22,y22,10,10);
}
void suoranarvot(float x, float y, float k, float b) {
     float x1 = map(x,-10,10,-300,300);
     float y1 = map(y,-10,10,-300,300);
     fill(255,255,255,200);
     rect(x1,y1,105,-345);
     pushMatrix();
     scale(1,-1);
     fill(0);
     textSize(15);
     text("x",x1+5,-y1+15);
     text("y",x1+50,-y1+15);
     for (int s=-10; s <=10; s++) {
         text(s,x1+5,-y1+185+s*15);
         text(""+round((k*s+b)*10)/10.0,x1+50,-y1+185+s*15);
     }
      popMatrix();
      fill(R,G,B,A); // Oletusväri
      textSize(20);
}
void paraabeli(float a, float b, float c) {
     for (int s=-3000; s<3000; s++) {
          float y =(a*((s/300.0)*(s/300.0))+b*(s/300.0)+c);
          ellipse((s/10.0),y*30,1,1);
     }
}
void polynomi(float a, float b, float c, float d) {
     for (int s=-3000; s<3000; s++) {
       float y = (a*(s/300.0)*(s/300.0)*(s/300.0)+b*(s/300.0)*(s/300.0)+c*(s/300.0)+d);
          ellipse(s/10,y*30,1,1);
     }
}


void kommentti(String teksti,float x,float y,float koko) {
      float x2 = map(x,-10,10,-300,300);
      float y2 = map(y,-10,10,-300,300);
      fill(0);
      pushMatrix();
      scale(1,-1);
      fill(0);
      textSize(koko);
      text(teksti,x2,-y2);
      popMatrix();
      textSize(20);
        fill(R,G,B,A); // Oletusväri
}
void x(float piste) {
  float x2 = map(piste,-10,10,-300,300);
  fill(255,0,0);
  stroke(255,0,0);
  strokeWeight(5);
  ellipse(x2,0,20,20);
  fill(R,G,B,A);
  strokeWeight(2);
}
void lukusuora(String ehto, float piste) {
  float x2 = map(piste,-10,10,-300,300);
   strokeWeight(5);
   stroke(255,0,0);
    if (ehto == "<") {
    noFill();  
    line(-300,10,x2,10);
  }
  if (ehto == ">") {
    noFill();  
    line(300,10,x2,10);
  }
  if (ehto == "<=") {
    fill(255,0,0);
    line(-300,10,x2,10);
  }
  if (ehto == ">=") {
    fill(255,0,0);
    line(300,10,x2,10);
  }
  if (ehto == "<=") {
    fill(255,0,0);
    line(-300,10,x2,10);
  }
  if ((ehto == "=") || (ehto == "==")) {
    fill(255,0,0);
  }
   if ((ehto == "!=") || (ehto == "<>"))  {
      noFill(); 
       line(-300,10,300,10);
  }
  ellipse(x2,0,20,20);
  fill(R,G,B,A);
  strokeWeight(2);
  stroke(0);
}

void lukusuoraJA(String ehto1, float piste1, String ehto2, float piste2) {
  float x1 = map(piste1,-10,10,-300,300);
  float x2 = map(piste2,-10,10,-300,300);
   strokeWeight(5);
   stroke(255,0,0);
    if ((ehto1 == ">") && (ehto2 == "<")) {
      if (piste2 > piste1) {
       noFill();  
       line(x1,10,x2,10);
      ellipse(x1,0,20,20);
      ellipse(x2,0,20,20);
      }
    }
    if ((ehto1 == ">=") && (ehto2 == "<=")) {
       if (piste2 >= piste1) {
        fill(255,0,0);  
        line(x1,10,x2,10);
        ellipse(x1,0,20,20);
        ellipse(x2,0,20,20);
       }
    }
    if ((ehto1 == ">=") && (ehto2 == "<")) {
     if (piste2 > piste1) {
       fill(255,0,0);  
       line(x1,10,x2,10);
       ellipse(x1,0,20,20);
       noFill();
       ellipse(x2,0,20,20);
     }
    }
    if ((ehto1 == ">") && (ehto2 == "<=")) {
      if (piste2 > piste1) {
       fill(255,0,0);  
       line(x1,10,x2,10);
       ellipse(x2,0,20,20);
       noFill();
       ellipse(x1,0,20,20);
      }
    }
     if ((ehto1 == "<") && (ehto2 == ">")) {
      if (piste2 < piste1) {
       noFill();  
       line(x1,10,x2,10);
       ellipse(x1,0,20,20);
       ellipse(x2,0,20,20);
      }
    }
    if ((ehto1 == "<=") && (ehto2 == ">=")) {
     if (piste2 <= piste1) {
       fill(255,0,0);  
       line(x1,10,x2,10);
       ellipse(x1,0,20,20);
       ellipse(x2,0,20,20);
     }
    }
    if ((ehto1 == "<=") && (ehto2 == ">")) {
     if (piste2 < piste1) {
      fill(255,0,0);  
      line(x1,10,x2,10);
       ellipse(x1,0,20,20);
       noFill();
       ellipse(x2,0,20,20);
     }
    }
    if ((ehto1 == "<") && (ehto2 == ">=")) {
      if (piste2 < piste1) {
       fill(255,0,0);  
       line(x1,10,x2,10);
       ellipse(x2,0,20,20);
       noFill();
       ellipse(x1,0,20,20);
      }
    }
      if (((ehto1 == "=") || (ehto1 =="==")) && (ehto2 == ">")) {
        if (piste1 > piste2) {
       fill(255,0,0);  
       ellipse(x1,0,20,20);
        }
    }
     if (((ehto1 == "=") || (ehto1 =="==")) && (ehto2 == ">=")) {
       if (piste1 >= piste2) {
         fill(255,0,0);  
        ellipse(x1,0,20,20);
       }
    }
     if (((ehto1 == "=") || (ehto1 =="==")) && (ehto2 == "<")) {
       if (piste1 < piste2) {
         fill(255,0,0);  
        ellipse(x1,0,20,20);
       }
    }
     if (((ehto1 == "=") || (ehto1 =="==")) && (ehto2 == "<=")) {
       if (piste1 <= piste2) {
         fill(255,0,0);  
        ellipse(x1,0,20,20);
       }
    }
     if ((ehto1 == ">") && ((ehto2 == "=") || (ehto2 =="=="))) {
       if (piste1 < piste2) {
         fill(255,0,0);  
        ellipse(x2,0,20,20);
       }
    }
      if ((ehto1 == ">=") && ((ehto2 == "=") || (ehto2 =="=="))) {
       if (piste1 <= piste2) {
         fill(255,0,0);  
        ellipse(x2,0,20,20);
       }
    }
     if ((ehto1 == "<") && ((ehto2 == "=") || (ehto2 =="=="))) {
       if (piste1 > piste2) {
         fill(255,0,0);  
        ellipse(x2,0,20,20);
       }
    }
      if ((ehto1 == "<=") && ((ehto2 == "=") || (ehto2 =="=="))) {
       if (piste1 >= piste2) {
         fill(255,0,0);  
        ellipse(x2,0,20,20);
       }
    }
      if (((ehto1 == "=") || (ehto1 =="==")) && ((ehto2 == "=") || (ehto2 =="=="))) {
       if (piste1 == piste2) {
         fill(255,0,0);  
        ellipse(x1,0,20,20);
       }
     }
    if ((ehto1 == "!=") && (ehto2 == ">")) {
       if (piste1 < piste2) {
         noFill();  
        ellipse(x2,0,20,20);
        line(x2,10,300,10);
       } else {
           noFill();  
        ellipse(x2,0,20,20);
        ellipse(x1,0,20,20);
        line(x2,10,300,10);
       }
    }
      if ((ehto1 == "!=") && (ehto2 == ">=")) {
       if (piste1 <= piste2) {
         fill(255,0,0);
        ellipse(x2,0,20,20);
        line(x2,10,300,10);
       } else {
           noFill();  
        ellipse(x1,0,20,20);
        fill(255,0,0);
        ellipse(x2,0,20,20);
        line(x2,10,300,10);
       }
    }
      if ((ehto1 == "!=") && (ehto2 == "<")) {
       if (piste1 < piste2) {
         noFill();
        ellipse(x1,0,20,20);
        ellipse(x2,0,20,20);
        line(x2,10,-300,10);
       } else {
           noFill();  
         ellipse(x2,0,20,20);
        line(x2,10,-300,10);
       }
    }
      if ((ehto1 == "!=") && (ehto2 == "<=")) {
       if (piste1 <= piste2) {
         noFill();
        ellipse(x1,0,20,20);
        fill(255,0,0);
        ellipse(x2,0,20,20);
        line(x2,10,-300,10);
       } else {
           fill(255,0,0);  
         ellipse(x2,0,20,20);
        line(x2,10,-300,10);
       }
    }
      if ((ehto1 == "!=") && (ehto2 == ">")) {
       if (piste1 > piste2) {
         noFill();
        ellipse(x1,0,20,20);
        ellipse(x2,0,20,20);
        line(x2,10,300,10);
       } else {
           noFill();  
         ellipse(x2,0,20,20);
        line(x2,10,300,10);
       }
    }
      if ((ehto1 == "!=") && (ehto2 == ">=")) {
       if (piste1 >= piste2) {
         noFill();
        ellipse(x1,0,20,20);
        fill(255,0,0);
        ellipse(x2,0,20,20);
        line(x2,10,300,10);
       } else {
           fill(255,0,0);  
         ellipse(x2,0,20,20);
        line(x2,10,300,10);
       }
    }
     if ((ehto1 == "!=") && ((ehto2 == "=") || (ehto2 =="=="))) {
       if (piste1 != piste2) {
        fill(255,0,0);
        ellipse(x2,0,20,20);
        
       }
    }
    if (((ehto1 == "=") || (ehto1 =="==")) && (ehto2 == "!=")) {
       if (piste1 != piste2) {
        fill(255,0,0);
        ellipse(x1,0,20,20);
        
       }
    }
  fill(R,G,B,A);
  strokeWeight(2);
  stroke(0);

}
void lukusuoraTAI(String ehto1, float piste1, String ehto2, float piste2) {
  float x1 = map(piste1,-10,10,-300,300);
  float x2 = map(piste2,-10,10,-300,300);
   strokeWeight(5);
   stroke(255,0,0);
    if ((ehto1 == "<") && (ehto2 == ">")) {
    noFill();  
    stroke(255,0,0);
     ellipse(x1,0,20,20);
    line(-300,10,x1,10);
    stroke(255,0,255);
    line(x2,-10,300,-10);
     
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == "<=") && (ehto2 == ">")) {
       stroke(255,0,0);
        fill(255,0,0);
      ellipse(x1,0,20,20);
    line(-300,10,x1,10);
     stroke(255,0,255);
    line(x2,-10,300,-10);
     
      noFill();
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == "<") && (ehto2 == ">=")) {
    noFill();  
     stroke(255,0,0);
         ellipse(x1,0,20,20);
    line(-300,10,x1,10);
     stroke(255,0,255);
    line(x2,-10,300,-10);
  
      fill(255,0,255);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == "<=") && (ehto2 == ">=")) {
    fill(255,0,0);
     stroke(255,0,0);
       ellipse(x1,0,20,20);
    line(-300,10,x1,10);
     stroke(255,0,255);
    line(x2,-10,300,-10);
   fill(255,0,255);
      ellipse(x2,0,20,20);
    }
 if ((ehto1 == ">") && (ehto2 == "<")) {
    noFill();  
    stroke(255,0,0);
    line(300,10,x1,10);
    ellipse(x1,0,20,20);
    stroke(255,0,255);
    line(x2,-10,-300,-10);
    ellipse(x2,0,20,20);
    }
    if ((ehto1 == ">=") && (ehto2 == "<")) {
    stroke(255,0,0);
    line(300,10,x1,10);
    fill(255,0,0);
      ellipse(x1,0,20,20);
      stroke(255,0,255);
    line(x2,-10,-300,-10);
      noFill();
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == ">") && (ehto2 == "<=")) {
    noFill();  
    stroke(255,0,0);
    ellipse(x1,0,20,20);
    line(300,10,x1,10);
    stroke(255,0,255);
    line(x2,-10,-300,-10);
      fill(255,0,255);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == ">=") && (ehto2 == "<=")) {
    fill(255,0,0);
    stroke(255,0,0);
     ellipse(x1,0,20,20);
    line(300,10,x1,10);
    stroke(255,0,255);
    fill(255,0,255);
    line(x2,-10,-300,-10);
      ellipse(x2,0,20,20);
    }
      if (((ehto1 == "=") || (ehto1 == "==")) && ((ehto2 == "=") || (ehto2 == "=="))) {
      stroke(255,0,0);
       fill(255,0,0);
      ellipse(x1,0,20,20);
       fill(255,0,255);
       stroke(255,0,255);
      ellipse(x2,0,20,20);
    }
    if (((ehto1 == "=") || (ehto1 == "==")) && (ehto2 == "<")) {  
      stroke(255,0,0);
      fill(255,0,0);
      ellipse(x1,0,20,20);
      noFill();
      stroke(255,0,255);
      ellipse(x2,0,20,20);
       line(-300,10,x2,10);
    }
    if (((ehto1 == "=") || (ehto1 == "==")) && (ehto2 == "<=")) {
      stroke(255,0,0);
      fill(255,0,0);
       ellipse(x1,0,20,20);
       stroke(255,0,255);
       line(-300,10,x2,10);
      fill(255,0,255);
      ellipse(x2,0,20,20);
    }
    if (((ehto1 == "=") || (ehto1 == "==")) && (ehto2 == ">")) {
      stroke(255,0,0);
      fill(255,0,0);
      ellipse(x1,0,20,20);
      noFill();
      stroke(255,0,255);
      ellipse(x2,0,20,20);
      line(x2,10,300,10);
    }
       if (((ehto1 == "=") || (ehto1 == "==")) && (ehto2 == ">=")) {
   

      stroke(255,0,0);
      fill(255,0,0);
      ellipse(x1,0,20,20);
       stroke(255,0,255);
      fill(255,0,255);
      ellipse(x2,0,20,20);
          line(x2,10,300,10);
    }
       if ((ehto1 == ">") && ((ehto2 == "=") || (ehto2 == "=="))) {  
      stroke(255,0,0);
      noFill();
      line(300,10,x1,10);
      ellipse(x1,0,20,20);
      fill(255,0,255);
      stroke(255,0,255);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == ">=") && ((ehto2 == "=") || (ehto2 == "=="))) {
      stroke(255,0,0);
      fill(255,0,0);
      line(300,10,x1,10);
      ellipse(x1,0,20,20);
      fill(255,0,255);
      stroke(255,0,255);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == "<") && ((ehto2 == "=") || (ehto2 == "=="))) {
      stroke(255,0,0);
      noFill();
      line(x1,10,-300,10);
      ellipse(x1,0,20,20);
      stroke(255,0,255);
      fill(255,0,255);
      ellipse(x2,0,20,20);
   
    }
       if ((ehto1 == "<=") && ((ehto2 == "=") || (ehto2 == "=="))) {
      stroke(255,0,0);
      fill(255,0,0);
      line(x1,10,-300,10);
       ellipse(x1,0,20,20);
     fill(255,0,255);
      stroke(255,0,255);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == "!=") && (ehto2 == "!=")) {
      stroke(255,0,0);
     noFill();
      line(300,10,-300,10);
       ellipse(x1,0,20,20);
       stroke(255,0,255);
       line(300,-10,-300,-10);
      ellipse(x2,0,20,20);
    }
     if ((ehto1 == "!=") && (ehto2 == "<")) {  
      stroke(255,0,0);
      noFill();
      line(-300,10,300,10);
      ellipse(x1,0,20,20);
      noFill();
      stroke(255,0,255);
      ellipse(x2,0,20,20);
       line(-300,-10,x2,-10);
    }
    if ((ehto1 == "!=") && (ehto2 == "<=")) {
      stroke(255,0,0);
      noFill();
       ellipse(x1,0,20,20);
        line(-300,10,300,10);
       stroke(255,0,255);
       line(-300,-10,x2,-10);
      fill(255,0,255);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == "!=") && (ehto2 == ">")) {
      stroke(255,0,0);
      noFill();
      ellipse(x1,0,20,20);
       line(-300,10,300,10);
      stroke(255,0,255);
      ellipse(x2,0,20,20);
      line(x2,-10,300,-10);
    }
       if ((ehto1 == "!=") && (ehto2 == ">=")) {
      stroke(255,0,0);
      noFill();
       line(-300,10,300,10);
      ellipse(x1,0,20,20);
       stroke(255,0,255);
      fill(255,0,255);
      ellipse(x2,0,20,20);
          line(x2,-10,300,-10);
    }
       if ((ehto1 == ">") && (ehto2 == "!=")) {  
      stroke(255,0,0);
      noFill();
      line(300,10,x1,10);
      ellipse(x1,0,20,20);
      noFill();
      stroke(255,0,255);
       line(-300,-10,300,-10);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == ">=") && (ehto2 == "!=")) {
      stroke(255,0,0);
      fill(255,0,0);
      line(300,10,x1,10);
      ellipse(x1,0,20,20);
      noFill();
      stroke(255,0,255);
        line(-300,-10,300,-10);
      ellipse(x2,0,20,20);
    }
    if ((ehto1 == "<") && (ehto2 == "!=")) {
      stroke(255,0,0);
      noFill();
      line(x1,10,-300,10);
      ellipse(x1,0,20,20);
      stroke(255,0,255);
      noFill();
      line(-300,-10,300,-10);
      ellipse(x2,0,20,20);
   
    }
       if ((ehto1 == "<=") && (ehto2 == "!=")) {
      stroke(255,0,0);
      fill(255,0,0);
      line(x1,10,-300,10);
       ellipse(x1,0,20,20);
       noFill();
      stroke(255,0,255);
      line(-300,-10,300,-10);
      ellipse(x2,0,20,20);
    }
  fill(R,G,B,A);
  strokeWeight(2);
  stroke(0);

}
void mittaakulma(float x1, float y1, float x2, float y2, float x3, float y3) {
float xx1 = map(x1,-10,10,-300,300);
float yy1 = map(y1,-10,10,-300,300);
float xx2 = map(x2,-10,10,-300,300);
float yy2 = map(y2,-10,10,-300,300);
float xx3 = map(x3,-10,10,-300,300);
float yy3 = map(y3,-10,10,-300,300);
float sade1 = sqrt((y1-y2)*(y1-y2)+(x1-x2)*(x1-x2));
float sade2 = sqrt((y3-y2)*(y3-y2)+(x3-x2)*(x3-x2));
float kulma1 = acos(abs(x1-x2)/sade1);
float kulma2 = acos(abs(x3-x2)/sade2);
float summa1 = 0;
float summa2 = 0;
float lisays = 0;
if ( ((y1-y2) == 0) && (x1 >= x2) ) { summa1 = 0; }
if ( ((y2-y1) == 0) && (x2 > x1) ) { summa1 = 180; }
if ( ((x1-x2) == 0) && (y1 >= y2) ) { summa1 = 90; }
if ( ((x2-x1) == 0) && (y2 > y1) ) { summa1 = 270; }

if (abs(x3-x2) == 0) {
lisays = 90-degrees(kulma1);
}

if ( ((x1-x2) > 0) && ((y1 -y2) > 0) ) {
summa1 = degrees(kulma1);
}
if ( ((x1-x2) < 0) && ((y1 -y2) > 0) ) {
summa1 = (90-degrees(kulma1))+90;
}
if ( ((x1-x2) < 0) && ((y1 -y2) < 0) ) {
summa1 = degrees(kulma1)+180;
}
if ( ((x1-x2) >=0) && ((y1 -y2) < 0) ) {
summa1 = 360-degrees(kulma1);
}

if ( ((x3-x2) > 0) && ((y3 -y2) > 0) ) {
summa2 = degrees(kulma2);
if ((summa1 >= 0) && (summa1 < 90)) {
if (summa2 > summa1) {
lisays = summa2-summa1;
} else {
lisays = 360-summa1+summa2;
}
}
if ((summa1 >= 90) && (summa1 < 180)) {
lisays = 360-summa1+summa2;
}
if ((summa1 >= 180) && (summa1 < 270)) {
lisays = 360-summa1+summa2;
}
if ((summa1 >= 270) && (summa1 < 360)) {
lisays = 360-summa1+summa2;
}
}
if ( ((x3-x2) <= 0) && ((y3 -y2) >= 0) ) {
summa2 = (90-degrees(kulma2))+90;
if ((summa1 >= 0) && (summa1 < 90)) {
lisays = summa2-summa1;
}
if ((summa1 >= 90) && (summa1 < 180)) {
if (summa2 > summa1) {
lisays = summa2-summa1;
} else {
lisays = 360-summa1+summa2;
}
}
if ((summa1 >= 180) && (summa1 < 270)) {
lisays = 360-summa1+summa2;
}
if ((summa1 >= 270) && (summa1 < 360)) {
lisays = 360-summa1+summa2;
}
}
if ( ((x3-x2) <= 0) && ((y3 -y2) <= 0) ) {
summa2 = degrees(kulma2)+180;
if ((summa1 >= 0) && (summa1 < 90)) {
lisays = summa2-summa1;
}
if ((summa1 >= 90) && (summa1 < 180)) {
lisays = summa2-summa1;
}
if ((summa1 >= 180) && (summa1 < 270)) {

if (summa2 > summa1) {
lisays = summa2-summa1;
} else {
lisays = 360-summa1+summa2;
}
}
if ((summa1 >= 270) && (summa1 < 360)) {
lisays = 360-summa1+summa2;
}
}
if ( ((x3-x2) >= 0) && ((y3 -y2) <= 0) ) {
summa2 = 360-degrees(kulma2);
if ((summa1 >= 0) && (summa1 < 90)) {
lisays = summa2-summa1;
}
if ((summa1 >= 90) && (summa1 < 180)) {
lisays = summa2-summa1;
}
if ((summa1 >= 180) && (summa1 < 270)) {
lisays = summa2-summa1;

}
if ((summa1 >= 270) && (summa1 < 360)) {
if (summa2 > summa1) {
lisays = summa2-summa1;
} else {
lisays = 360-summa1+summa2;
}
}

}

float summa3 = (summa1+summa1+lisays)/2;
strokeWeight(6);
point(xx1,yy1);
point(xx2,yy2);
point(xx3,yy3);
strokeWeight(3);
line(xx2,yy2,xx1,yy1);
line(xx2,yy2,xx3,yy3);
noFill();
arc(xx2,yy2,35,35,radians(summa1),radians(summa1+lisays),PIE);
float ds = 20*(sade1 + sade2)/2;
float dx = ds*cos(radians(summa3));
float dy = ds*sin(radians(summa3));
fill(0);
pushMatrix();
scale(1,-1);
fill(255,0,0);
text(""+nfc(lisays,1)+"\u00B0",xx2+dx/2,-(yy2+dy/2));
popMatrix();
strokeWeight(2);
fill(R,G,B,A);
} void mittaajana(float x1, float y1, float x2, float y2) { float x12 = map(x1,-10,10,-300,300); float y12 = map(y1,-10,10,-300,300); float x22 = map(x2,-10,10,-300,300); float y22 = map(y2,-10,10,-300,300); float x0 = (x12+x22)/2; float y0 = (y12+y22)/2; float pituus = sqrt((y2-y1)*(y2-y1)+(x2-x1)*(x2-x1)); strokeWeight(5); line(x12,y12,x22,y22); strokeWeight(10); point(x12,y12); point(x22,y22); pushMatrix(); scale(1,-1); fill(255,0,0); text(""+round(10*pituus)/10.0,x0+20,-y0+20); popMatrix(); fill(R,G,B,A); strokeWeight(2); stroke(0); } void mittaasuora(float x1, float y1,float k, float b) { float x12 = map(x1,-10,10,-300,300); float y12 = map(y1,-10,10,-300,300); float b2 = map(b,-10,10,-300,300); float x2 = -300; float y2 = k*x2+b2; float pituus = sqrt((y2-y12)*(y2-y12)+(x2-x12)*(x2-x12)); float x0 = 0; float y0 = 0; for (int s=-3000; s<3000; s++) { float y =k*(s/10.0)+b2; ellipse((s/10.0),y,1,1); float y3 = k*(s/10.0)+b2; float pituus3 = sqrt((y3-y12)*(y3-y12)+((s/10.0)-x12)*((s/10.0)-x12)); if (pituus3 < pituus) { pituus = pituus3; x0 = (s/10); y0 = y3; } } strokeWeight(8); point(x12,y12); point(x0,y0); strokeWeight(3); line(x12,y12,x0,y0); fill(0); pushMatrix(); scale(1,-1); fill(255,0,0); text(""+round(10*(pituus/30.0))/10.0,(x0+x12)/2.0+10,-((y0+y12)/2.0)+25); popMatrix(); strokeWeight(2); fill(R,G,B,A); } void mittaakaari(float x, float y, float sade, float kulma1, float kulma2) { float x2 = map(x,-10,10,-300,300); float y2 = map(y,-10,10,-300,300); float sade2 = map(sade,-10,10,-300,300); noFill(); if (kulma2 < kulma1) { float muuta = kulma1; kulma1 = kulma2; kulma2 = muuta; } arc(x2,y2,2*sade2,2*sade2,radians(kulma1),radians(kulma2)); point(x2,y2); fill(250,200,0,150); // Oletusväri float pituus = ((kulma2-kulma1)/360)*2*PI*sade; float dx = 35*sade*cos(radians((kulma2+kulma1)/2.0)); float dy = 35*sade*sin(radians((kulma2+kulma1)/2.0)); pushMatrix(); scale(1,-1); fill(255,0,0); text(""+round(10*pituus)/10.0,x2+dx,-(y2+dy)); popMatrix(); strokeWeight(2); fill(R,G,B,A); } void mittaahypotenuusa(float x, float y, float a, float b) { float x2 = map(x,-10,10,-300,300); float y2 = map(y,-10,10,-300,300); float a2 = map(a,-10,10,-300,300); float b2 = map(b,-10,10,-300,300); triangle(x2,y2,x2+a2,y2,x2,y2+b2); float pituus = sqrt(a*a+b*b); pushMatrix(); scale(1,-1); fill(255,0,0); text(""+round(10*pituus)/10.0,(x2+(x2+a2))/2,-(y2+(y2+b2))/2); popMatrix(); strokeWeight(2); fill(R,G,B,A); } void mittaakateetti(float x, float y, float a, float c) { float x2 = map(x,-10,10,-300,300); float y2 = map(y,-10,10,-300,300); float a2 = map(a,-10,10,-300,300); float b = sqrt(c*c-a*a); float b2 = map(b,-10,10,-300,300); triangle(x2,y2,x2+a2,y2,x2,y2+b2); float pituus = sqrt(c*c-a*a); pushMatrix(); scale(1,-1); fill(255,0,0); text(""+round(10*pituus)/10.0,x2-35,-(y2+(y2+b2))/2); popMatrix(); strokeWeight(2); fill(R,G,B,A); } void piirtokolmio(float x, float y, float kulma) { fill(0,100,255,100); noStroke(); float h = 150; float x2 = map(x,-10,10,-300,300); float y2 = map(y,-10,10,-300,300); pushMatrix(); translate(x2,y2); rotate(radians(kulma)); triangle(-h,0,h,0,0,h); fill(0); ellipse(0,0,5,5); for (int s = 0; s <= 180; s = s + 10) { float a1 = 100*cos(radians(s)); float b1 = 100*sin(radians(s)); float a2 = 50*cos(radians(s)); float b2 = 50*sin(radians(s)); stroke(0,0,255); strokeWeight(1); line(a1,b1,a2,b2); } for (int s = 0; s <= 180; s = s + 5) { float a1 = 100*cos(radians(s)); float b1 = 100*sin(radians(s)); float a2 = 90*cos(radians(s)); float b2 = 90*sin(radians(s)); stroke(0); strokeWeight(1); line(a1,b1,a2,b2); } for (int s = 0; s <= 180; s = s + 45) { float a1 = 100*cos(radians(s)); float b1 = 100*sin(radians(s)); float a2 = 20*cos(radians(s)); float b2 = 20*sin(radians(s)); stroke(255,0,0); strokeWeight(1); line(a1,b1,a2,b2); } popMatrix(); stroke(0); fill(R,G,B,A); strokeWeight(2); // Oletus paksuus } void viivoitin(float x, float y, float kulma) { fill(100,255,100,100); noStroke(); float x2 = map(x,-10,10,-300,300); float y2 = map(y,-10,10,-300,300); pushMatrix(); translate(x2,y2); rotate(radians(kulma)); rect(0,0,300,30); fill(0); ellipse(0,0,5,5); for (int s=0; s <= 20; s=s+1) { stroke(0); strokeWeight(1); line(s*15,0,s*15,10); } for (int s=0; s <= 10; s=s+1) { stroke(0,0,255); strokeWeight(1); line(s*30,0,s*30,20); } for (int s=0; s <= 100; s=s+1) { stroke(255,0,255); strokeWeight(1); line(s*3,0,s*3,5); } popMatrix(); stroke(0); fill(R,G,B,A); strokeWeight(2); // Oletus paksuus }