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vec3.normalize=function(a,b){b||(b=a);var c=a[0],d=a[1],e=a[2],g=Math.sqrt(c*c+d*d+e*e);if(g){if(g==1){b[0]=c;b[1]=d;b[2]=e;return b}}else{b[0]=0;b[1]=0;b[2]=0;return b}g=1/g;b[0]=c*g;b[1]=d*g;b[2]=e*g;return b};vec3.cross=function(a,b,c){c||(c=a);var d=a[0],e=a[1];a=a[2];var g=b[0],f=b[1];b=b[2];c[0]=e*b-a*f;c[1]=a*g-d*b;c[2]=d*f-e*g;return c};vec3.length=function(a){var b=a[0],c=a[1];a=a[2];return Math.sqrt(b*b+c*c+a*a)};vec3.dot=function(a,b){return a[0]*b[0]+a[1]*b[1]+a[2]*b[2]};
vec3.direction=function(a,b,c){c||(c=a);var d=a[0]-b[0],e=a[1]-b[1];a=a[2]-b[2];b=Math.sqrt(d*d+e*e+a*a);if(!b){c[0]=0;c[1]=0;c[2]=0;return c}b=1/b;c[0]=d*b;c[1]=e*b;c[2]=a*b;return c};vec3.lerp=function(a,b,c,d){d||(d=a);d[0]=a[0]+c*(b[0]-a[0]);d[1]=a[1]+c*(b[1]-a[1]);d[2]=a[2]+c*(b[2]-a[2]);return d};vec3.str=function(a){return"["+a[0]+", "+a[1]+", "+a[2]+"]"};var mat3={};
mat3.create=function(a){var b=new glMatrixArrayType(9);if(a){b[0]=a[0];b[1]=a[1];b[2]=a[2];b[3]=a[3];b[4]=a[4];b[5]=a[5];b[6]=a[6];b[7]=a[7];b[8]=a[8];b[9]=a[9]}return b};mat3.set=function(a,b){b[0]=a[0];b[1]=a[1];b[2]=a[2];b[3]=a[3];b[4]=a[4];b[5]=a[5];b[6]=a[6];b[7]=a[7];b[8]=a[8];return b};mat3.identity=function(a){a[0]=1;a[1]=0;a[2]=0;a[3]=0;a[4]=1;a[5]=0;a[6]=0;a[7]=0;a[8]=1;return a};
mat3.transpose=function(a,b){if(!b||a==b){var c=a[1],d=a[2],e=a[5];a[1]=a[3];a[2]=a[6];a[3]=c;a[5]=a[7];a[6]=d;a[7]=e;return a}b[0]=a[0];b[1]=a[3];b[2]=a[6];b[3]=a[1];b[4]=a[4];b[5]=a[7];b[6]=a[2];b[7]=a[5];b[8]=a[8];return b};mat3.toMat4=function(a,b){b||(b=mat4.create());b[0]=a[0];b[1]=a[1];b[2]=a[2];b[3]=0;b[4]=a[3];b[5]=a[4];b[6]=a[5];b[7]=0;b[8]=a[6];b[9]=a[7];b[10]=a[8];b[11]=0;b[12]=0;b[13]=0;b[14]=0;b[15]=1;return b};
mat3.str=function(a){return"["+a[0]+", "+a[1]+", "+a[2]+", "+a[3]+", "+a[4]+", "+a[5]+", "+a[6]+", "+a[7]+", "+a[8]+"]"};var mat4={};mat4.create=function(a){var b=new glMatrixArrayType(16);if(a){b[0]=a[0];b[1]=a[1];b[2]=a[2];b[3]=a[3];b[4]=a[4];b[5]=a[5];b[6]=a[6];b[7]=a[7];b[8]=a[8];b[9]=a[9];b[10]=a[10];b[11]=a[11];b[12]=a[12];b[13]=a[13];b[14]=a[14];b[15]=a[15]}return b};
mat4.set=function(a,b){b[0]=a[0];b[1]=a[1];b[2]=a[2];b[3]=a[3];b[4]=a[4];b[5]=a[5];b[6]=a[6];b[7]=a[7];b[8]=a[8];b[9]=a[9];b[10]=a[10];b[11]=a[11];b[12]=a[12];b[13]=a[13];b[14]=a[14];b[15]=a[15];return b};mat4.identity=function(a){a[0]=1;a[1]=0;a[2]=0;a[3]=0;a[4]=0;a[5]=1;a[6]=0;a[7]=0;a[8]=0;a[9]=0;a[10]=1;a[11]=0;a[12]=0;a[13]=0;a[14]=0;a[15]=1;return a};
mat4.transpose=function(a,b){if(!b||a==b){var c=a[1],d=a[2],e=a[3],g=a[6],f=a[7],h=a[11];a[1]=a[4];a[2]=a[8];a[3]=a[12];a[4]=c;a[6]=a[9];a[7]=a[13];a[8]=d;a[9]=g;a[11]=a[14];a[12]=e;a[13]=f;a[14]=h;return a}b[0]=a[0];b[1]=a[4];b[2]=a[8];b[3]=a[12];b[4]=a[1];b[5]=a[5];b[6]=a[9];b[7]=a[13];b[8]=a[2];b[9]=a[6];b[10]=a[10];b[11]=a[14];b[12]=a[3];b[13]=a[7];b[14]=a[11];b[15]=a[15];return b};
mat4.determinant=function(a){var b=a[0],c=a[1],d=a[2],e=a[3],g=a[4],f=a[5],h=a[6],i=a[7],j=a[8],k=a[9],l=a[10],o=a[11],m=a[12],n=a[13],p=a[14];a=a[15];return m*k*h*e-j*n*h*e-m*f*l*e+g*n*l*e+j*f*p*e-g*k*p*e-m*k*d*i+j*n*d*i+m*c*l*i-b*n*l*i-j*c*p*i+b*k*p*i+m*f*d*o-g*n*d*o-m*c*h*o+b*n*h*o+g*c*p*o-b*f*p*o-j*f*d*a+g*k*d*a+j*c*h*a-b*k*h*a-g*c*l*a+b*f*l*a};
mat4.inverse=function(a,b){b||(b=a);var c=a[0],d=a[1],e=a[2],g=a[3],f=a[4],h=a[5],i=a[6],j=a[7],k=a[8],l=a[9],o=a[10],m=a[11],n=a[12],p=a[13],r=a[14],s=a[15],A=c*h-d*f,B=c*i-e*f,t=c*j-g*f,u=d*i-e*h,v=d*j-g*h,w=e*j-g*i,x=k*p-l*n,y=k*r-o*n,z=k*s-m*n,C=l*r-o*p,D=l*s-m*p,E=o*s-m*r,q=1/(A*E-B*D+t*C+u*z-v*y+w*x);b[0]=(h*E-i*D+j*C)*q;b[1]=(-d*E+e*D-g*C)*q;b[2]=(p*w-r*v+s*u)*q;b[3]=(-l*w+o*v-m*u)*q;b[4]=(-f*E+i*z-j*y)*q;b[5]=(c*E-e*z+g*y)*q;b[6]=(-n*w+r*t-s*B)*q;b[7]=(k*w-o*t+m*B)*q;b[8]=(f*D-h*z+j*x)*q;
b[9]=(-c*D+d*z-g*x)*q;b[10]=(n*v-p*t+s*A)*q;b[11]=(-k*v+l*t-m*A)*q;b[12]=(-f*C+h*y-i*x)*q;b[13]=(c*C-d*y+e*x)*q;b[14]=(-n*u+p*B-r*A)*q;b[15]=(k*u-l*B+o*A)*q;return b};mat4.toRotationMat=function(a,b){b||(b=mat4.create());b[0]=a[0];b[1]=a[1];b[2]=a[2];b[3]=a[3];b[4]=a[4];b[5]=a[5];b[6]=a[6];b[7]=a[7];b[8]=a[8];b[9]=a[9];b[10]=a[10];b[11]=a[11];b[12]=0;b[13]=0;b[14]=0;b[15]=1;return b};
mat4.toMat3=function(a,b){b||(b=mat3.create());b[0]=a[0];b[1]=a[1];b[2]=a[2];b[3]=a[4];b[4]=a[5];b[5]=a[6];b[6]=a[8];b[7]=a[9];b[8]=a[10];return b};mat4.toInverseMat3=function(a,b){var c=a[0],d=a[1],e=a[2],g=a[4],f=a[5],h=a[6],i=a[8],j=a[9],k=a[10],l=k*f-h*j,o=-k*g+h*i,m=j*g-f*i,n=c*l+d*o+e*m;if(!n)return null;n=1/n;b||(b=mat3.create());b[0]=l*n;b[1]=(-k*d+e*j)*n;b[2]=(h*d-e*f)*n;b[3]=o*n;b[4]=(k*c-e*i)*n;b[5]=(-h*c+e*g)*n;b[6]=m*n;b[7]=(-j*c+d*i)*n;b[8]=(f*c-d*g)*n;return b};
mat4.multiply=function(a,b,c){c||(c=a);var d=a[0],e=a[1],g=a[2],f=a[3],h=a[4],i=a[5],j=a[6],k=a[7],l=a[8],o=a[9],m=a[10],n=a[11],p=a[12],r=a[13],s=a[14];a=a[15];var A=b[0],B=b[1],t=b[2],u=b[3],v=b[4],w=b[5],x=b[6],y=b[7],z=b[8],C=b[9],D=b[10],E=b[11],q=b[12],F=b[13],G=b[14];b=b[15];c[0]=A*d+B*h+t*l+u*p;c[1]=A*e+B*i+t*o+u*r;c[2]=A*g+B*j+t*m+u*s;c[3]=A*f+B*k+t*n+u*a;c[4]=v*d+w*h+x*l+y*p;c[5]=v*e+w*i+x*o+y*r;c[6]=v*g+w*j+x*m+y*s;c[7]=v*f+w*k+x*n+y*a;c[8]=z*d+C*h+D*l+E*p;c[9]=z*e+C*i+D*o+E*r;c[10]=z*
g+C*j+D*m+E*s;c[11]=z*f+C*k+D*n+E*a;c[12]=q*d+F*h+G*l+b*p;c[13]=q*e+F*i+G*o+b*r;c[14]=q*g+F*j+G*m+b*s;c[15]=q*f+F*k+G*n+b*a;return c};mat4.multiplyVec3=function(a,b,c){c||(c=b);var d=b[0],e=b[1];b=b[2];c[0]=a[0]*d+a[4]*e+a[8]*b+a[12];c[1]=a[1]*d+a[5]*e+a[9]*b+a[13];c[2]=a[2]*d+a[6]*e+a[10]*b+a[14];return c};
mat4.multiplyVec4=function(a,b,c){c||(c=b);var d=b[0],e=b[1],g=b[2];b=b[3];c[0]=a[0]*d+a[4]*e+a[8]*g+a[12]*b;c[1]=a[1]*d+a[5]*e+a[9]*g+a[13]*b;c[2]=a[2]*d+a[6]*e+a[10]*g+a[14]*b;c[3]=a[3]*d+a[7]*e+a[11]*g+a[15]*b;return c};
mat4.translate=function(a,b,c){var d=b[0],e=b[1];b=b[2];if(!c||a==c){a[12]=a[0]*d+a[4]*e+a[8]*b+a[12];a[13]=a[1]*d+a[5]*e+a[9]*b+a[13];a[14]=a[2]*d+a[6]*e+a[10]*b+a[14];a[15]=a[3]*d+a[7]*e+a[11]*b+a[15];return a}var g=a[0],f=a[1],h=a[2],i=a[3],j=a[4],k=a[5],l=a[6],o=a[7],m=a[8],n=a[9],p=a[10],r=a[11];c[0]=g;c[1]=f;c[2]=h;c[3]=i;c[4]=j;c[5]=k;c[6]=l;c[7]=o;c[8]=m;c[9]=n;c[10]=p;c[11]=r;c[12]=g*d+j*e+m*b+a[12];c[13]=f*d+k*e+n*b+a[13];c[14]=h*d+l*e+p*b+a[14];c[15]=i*d+o*e+r*b+a[15];return c};
mat4.scale=function(a,b,c){var d=b[0],e=b[1];b=b[2];if(!c||a==c){a[0]*=d;a[1]*=d;a[2]*=d;a[3]*=d;a[4]*=e;a[5]*=e;a[6]*=e;a[7]*=e;a[8]*=b;a[9]*=b;a[10]*=b;a[11]*=b;return a}c[0]=a[0]*d;c[1]=a[1]*d;c[2]=a[2]*d;c[3]=a[3]*d;c[4]=a[4]*e;c[5]=a[5]*e;c[6]=a[6]*e;c[7]=a[7]*e;c[8]=a[8]*b;c[9]=a[9]*b;c[10]=a[10]*b;c[11]=a[11]*b;c[12]=a[12];c[13]=a[13];c[14]=a[14];c[15]=a[15];return c};
mat4.rotate=function(a,b,c,d){var e=c[0],g=c[1];c=c[2];var f=Math.sqrt(e*e+g*g+c*c);if(!f)return null;if(f!=1){f=1/f;e*=f;g*=f;c*=f}var h=Math.sin(b),i=Math.cos(b),j=1-i;b=a[0];f=a[1];var k=a[2],l=a[3],o=a[4],m=a[5],n=a[6],p=a[7],r=a[8],s=a[9],A=a[10],B=a[11],t=e*e*j+i,u=g*e*j+c*h,v=c*e*j-g*h,w=e*g*j-c*h,x=g*g*j+i,y=c*g*j+e*h,z=e*c*j+g*h;e=g*c*j-e*h;g=c*c*j+i;if(d){if(a!=d){d[12]=a[12];d[13]=a[13];d[14]=a[14];d[15]=a[15]}}else d=a;d[0]=b*t+o*u+r*v;d[1]=f*t+m*u+s*v;d[2]=k*t+n*u+A*v;d[3]=l*t+p*u+B*
v;d[4]=b*w+o*x+r*y;d[5]=f*w+m*x+s*y;d[6]=k*w+n*x+A*y;d[7]=l*w+p*x+B*y;d[8]=b*z+o*e+r*g;d[9]=f*z+m*e+s*g;d[10]=k*z+n*e+A*g;d[11]=l*z+p*e+B*g;return d};mat4.rotateX=function(a,b,c){var d=Math.sin(b);b=Math.cos(b);var e=a[4],g=a[5],f=a[6],h=a[7],i=a[8],j=a[9],k=a[10],l=a[11];if(c){if(a!=c){c[0]=a[0];c[1]=a[1];c[2]=a[2];c[3]=a[3];c[12]=a[12];c[13]=a[13];c[14]=a[14];c[15]=a[15]}}else c=a;c[4]=e*b+i*d;c[5]=g*b+j*d;c[6]=f*b+k*d;c[7]=h*b+l*d;c[8]=e*-d+i*b;c[9]=g*-d+j*b;c[10]=f*-d+k*b;c[11]=h*-d+l*b;return c};
mat4.rotateY=function(a,b,c){var d=Math.sin(b);b=Math.cos(b);var e=a[0],g=a[1],f=a[2],h=a[3],i=a[8],j=a[9],k=a[10],l=a[11];if(c){if(a!=c){c[4]=a[4];c[5]=a[5];c[6]=a[6];c[7]=a[7];c[12]=a[12];c[13]=a[13];c[14]=a[14];c[15]=a[15]}}else c=a;c[0]=e*b+i*-d;c[1]=g*b+j*-d;c[2]=f*b+k*-d;c[3]=h*b+l*-d;c[8]=e*d+i*b;c[9]=g*d+j*b;c[10]=f*d+k*b;c[11]=h*d+l*b;return c};
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