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Diffstat (limited to 'CrossNoodlesJS/wglmath.js')
-rwxr-xr-x | CrossNoodlesJS/wglmath.js | 88 |
1 files changed, 88 insertions, 0 deletions
diff --git a/CrossNoodlesJS/wglmath.js b/CrossNoodlesJS/wglmath.js new file mode 100755 index 0000000..99eca6a --- /dev/null +++ b/CrossNoodlesJS/wglmath.js @@ -0,0 +1,88 @@ +var v3d=function(x,y,z) +{ + this.x=(x!==undefined)?x:0; + this.y=(y!==undefined)?y:0; + this.z=(z!==undefined)?z:0; +} +v3d.prototype.l=function(){return Math.sqrt(this.x*this.x+this.y*this.y+this.z*this.z);} +v3d.prototype.n=function(){var L=this.l();this.x/=L;this.y/=L;this.z/=L;} +v3d.prototype.ms=function(s) +{ + this.x*=s;this.y*=s;this.z*=s; +} +v3d.prototype.mm=function(m) +{ + return new v3d( + m[0]*this.x+m[4]*this.y+m[8]*this.z, + m[1]*this.x+m[5]*this.y+m[9]*this.z, + m[2]*this.x+m[6]*this.y+m[10]*this.z + ); +} +v3d.prototype.cross=function(b) +{ + return new v3d( + this.y*b.z-this.z*b.y, + this.z*b.x-this.x*b.z, + this.x*b.y-this.y*b.x + ); +} +function buildIdentityMatrix() +{ + var m=new Float32Array(16); + for(var i=0;i<4;++i)m[i*4+i]=1.; + return m; +} +function buildProjectionMatrix2D(l,r,b,t,near,far) +{ + var m=buildIdentityMatrix(); + m[0]=2/(r-l);m[5]=2/(t-b);m[10]=-2/(far-near); + m[12]=-(r+l)/(r-l);m[13]=-(t+b)/(t-b);m[14]=-(far+near)/(far-near); + return m; +} +function buildProjectionMatrix3D(w,h,fov,near,far) +{ + var m=new Float32Array(16); + var f=1./Math.tan(Math.PI*fov/360.); + var ar=w/h; + m[0]=f/ar;m[5]=f;m[10]=(far+near)/(near-far); + m[11]=-1.;m[14]=(2*far*near)/(near-far); + return m; +} +function buildTranslationMatrix(x,y,z) +{ + var m=buildIdentityMatrix(); + m[12]=x;m[13]=y;m[14]=z; + return m; +} +function buildRotationMatrix(a,x,y,z) +{ + var m=buildIdentityMatrix(); + //check (x,y,z) here + var c=Math.cos(a),s=Math.sin(a); + m[0]=x*x*(1-c)+c;m[4]=x*y*(1-c)-z*s;m[8]=x*z*(1-c)+y*s; + m[1]=y*x*(1-c)+z*s;m[5]=y*y*(1-c)+c;m[9]=y*z*(1-c)-x*s; + m[2]=x*z*(1-c)-y*s;m[6]=y*z*(1-c)+x*s;m[10]=z*x*(1-c)+c; + m[15]=1.; + return m; +} +function buildLookAtMatrix(e,a,u) +{ + var f=new v3d(a[0]-e[0],a[1]-e[1],a[2]-e[2]); + f.n();var up=new v3d(u[0],u[1],u[2]);up.n(); + var r=f.cross(up);r.n();var p=r.cross(f); + var m=buildIdentityMatrix(); + m[0]=r.x;m[4]=r.y;m[8]=r.z; + m[1]=p.x;m[5]=p.y;m[9]=p.z; + m[2]=-f.x;m[6]=-f.y;m[10]=-f.z; + m=multMatrix(m,buildTranslationMatrix(-e[0],-e[1],-e[2])); + return m; +} +function multMatrix(a,b) +{ + var r=new Float32Array(16); + for(var i=0;i<4;++i) + for(var j=0;j<4;++j) + for(var k=0;k<4;++k) + r[i*4+j]+=a[i*4+k]*b[k*4+j]; + return r; +}
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