3d - How do I rotate vectors using matrices in Processing? -
i trying rotate vectors using matrices, got confused.
i thought needed create rotation matrix , multiply vector rotated vector.
here can see simple test i've done using processing:
use a increment rotation, , x/y/z changes axis.
and here source:
pvector[] clone,face = {new pvector(50,0,50),new pvector(-50,0,50),new pvector(-50, 0, -50),new pvector(50, 0, -50)}; color facec = color(255,0,0),clonec = color(0,255,0); float angle = 90; pvector x = new pvector(1,0,0),y = new pvector(0,1,0),z = new pvector(0,0,1), axis = x; pfont ocr; void setup(){ size(400,400,p3d); strokeweight(1.1610855);smooth(); clone = rotateverts(face,angle,axis); ocr = loadfont("ocr.vlw"); } void draw(){ background(255); fill(0);textfont(ocr,10);text("a = increment rotation\nx/y/z = change axis\nrotation: " + angle + "\naxis: " + axis,10,10,200,200);fill(255); translate(width*.5,height*.5); rotatex(map(mousey,height*.5,-height*.5,0,two_pi)); rotatey(map(mousex,0,width,0,two_pi)); drawquad(face,facec); drawquad(clone,clonec); stroke(128,0,0);line(0,0,0,100,0,0);stroke(0,128,0);line(0,0,0,0,-100,0);stroke(0,0,128);line(0,0,0,0,0,100); } void keypressed(){ if(key == 'a') angle += 15; if(angle > 360) angle -= 360; if(key == 'x') axis = x; if(key == 'y') axis = y; if(key == 'z') axis = z; clone = rotateverts(face,angle,axis); } pvector[] rotateverts(pvector[] verts,float angle,pvector axis){ int vl = verts.length; pvector[] clone = new pvector[vl]; for(int = 0; i<vl;i++) clone[i] = pvector.add(verts[i],new pvector()); //rotate using matrix pmatrix3d rmat = new pmatrix3d(); rmat.rotate(radians(angle),axis.x,axis.y,axis.z); for(int = 0; i<vl;i++) rmat.mult(clone[i],clone[i]); return clone; } void drawquad(pvector[] verts,color c){ stroke(c); beginshape(quads); for(int = 0 ; < 4; i++) vertex(verts[i].x,verts[i].y,verts[i].z); endshape(); }
processing comes pvector , pmatrix3d i've used.
am not using pmatrix should used or bug ? hints ?
this culprit:
rmat.mult(clone[i],clone[i]);
this not safe do, because unlike in c or java, source changing operation proceeds.
changing end of function to:
pvector[] dst = new pvector[vl]; for(int = 0; i<vl;i++) dst[i] = new pvector(); for(int = 0; i<vl;i++) rmat.mult(clone[i],dst[i]); return dst;
will resolve issue.
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