Hello all, for a project I need a textured rounded box, because I couldn't find it I thought I'd make it myself, its nearly there I am just missing the last small bit, but because my brain is hurting due to all the trigionometry terror I just can't figure it out. I hope someone here can point it out :)
The script requires a texture named "tex" once you run the sketch you'll see that the rounded corners are now round and therefore do not fit right, I think I'm missing some kind of sinus cosinus tangent thingy at the rounded corners vertex part.

Thank you!




void roundedCube(PImage tex, float xSize, float ySize, float zSize, float radR) {
  int tesVal = 2;
  float rad = radR;

  pushMatrix();
  boxFace(xSize, ySize, zSize, radR, tesVal);
  rotate(PI, 1, 0, 0);
  boxFace(xSize, ySize, zSize, radR, tesVal);
  rotate(PI/2, 1, 0, 0);
  boxFace(xSize, zSize, ySize, radR, tesVal);
  rotate(PI, 1, 0, 0);
  boxFace(xSize, zSize, ySize, radR, tesVal);
  rotate(PI/2, 0, 1, 0);
  boxFace(ySize, zSize, xSize, radR, tesVal);
  rotate(PI, 1, 0, 0);
  boxFace(ySize, zSize, xSize, radR, tesVal);
  popMatrix();
}

void boxFace(float a, float b, float c, float rad, int tes) {
  int tesVal = tes;
  float xVal= a-rad;
  float yVal = b-rad;
  float zVal = c-rad;
  beginShape(QUADS);
  texture(tex);
  vertex(-xVal, -yVal, c, (-xVal/(2*a))+0.5, (-yVal/(2*b))+0.5);
  vertex( xVal, -yVal, c, (xVal/(2*a))+0.5, (-yVal/(2*b))+0.5);
  vertex( xVal, yVal, c, (xVal/(2*a))+0.5, (yVal/(2*b))+0.5);
  vertex(-xVal, yVal, c, (-xVal/(2*a))+0.5, (yVal/(2*b))+0.5);
  endShape();

//half a round edge two times
  for (int i = 0;i<2;i++) {
    rotate(PI, 0, 0, 1);
    beginShape(QUAD_STRIP);
    texture(tex);
    for (int j=0;j<=tesVal;j++) {
      float angle =PI/4+ (PI/4)*(float(j)/tesVal);
      float xRot = rad*cos(angle);
      //float zRot = rad*sin(angle);
      vertex(xVal +xRot, yVal, zVal+rad*sin(angle), (xVal+xRot)/(2*a)+0.5, (yVal/b)+0.5);
      vertex(xVal +xRot, -yVal, zVal+rad*sin(angle), (xVal+xRot)/(2*a)+0.5, (-yVal/b)+0.5);
    }    
    endShape();
  }

//half a round edge two times again
  for (int i = 0;i<2;i++) {
    rotate(PI, 0, 0, 1);
    beginShape(QUAD_STRIP);
    texture(tex);
    for (int j=0;j<=tesVal;j++) {
      float angle =PI/4+ (PI/4)*(float(j)/tesVal);
      float yRot = rad*cos(angle);
      vertex(xVal, yVal+yRot, zVal+rad*sin(angle), (xVal/(2*a))+0.5, (yVal+yRot)/(2*b)+0.5 );
      vertex(-xVal, yVal+yRot, zVal+rad*sin(angle), (-xVal/(2*a))+0.5, (yVal+yRot)/(2*b)+0.5);
    }    
    endShape();
  }

//Round corners
  float xMul =1;
  float yMul = 1;
  for (int i = 0;i<4;i++) {

    if (i==1) {
      yMul=-1;
    }
    else if (i==2) {
      xMul = -1;
    }
    else if (i==3) {
      yMul = 1;
    }
    else {
    }

    for (int j=0;j<tesVal;j++) {
      beginShape(QUAD_STRIP);
      texture(tex);
      float angle =PI/4+ (PI/4)*(float(j)/tesVal);
      float angle3 =PI/4+ (PI/4)*(float(j+1)/tesVal);
      for (int k=0;k<=tesVal;k++) {
        float angle2 = (PI/2)*(float(k)/tesVal);
        float angle4 = (PI/2)*(float(k+1)/tesVal);
        float xRot = rad*cos(angle);
        float yRot = rad*sin(angle2);
        //I guess I am missing some thing at the z vertex
        vertex(xMul*xVal +xMul*rad*cos(angle)*cos(angle2), yMul*yVal+yMul*rad*sin(angle2)*cos(angle), zVal+rad*sin(angle), (xMul*xVal +xMul*rad*cos(angle)*cos(angle2))/(2*a)+0.5, (yMul*yVal+yMul*rad*sin(angle2)*cos(angle))/(2*b)+0.5);
        vertex(xMul*xVal +xMul*rad*cos(angle3)*cos(angle2), yMul*yVal+yMul* rad*sin(angle2)*cos(angle3), zVal+rad*sin(angle3), (xMul*xVal +xMul*rad*cos(angle3)*cos(angle2))/(2*a)+0.5, (yMul*yVal+yMul*rad*sin(angle2)*cos(angle3))/(2*b)+0.5);
      }
      endShape();
    }
  }
}