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gl-matrix-min.js
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gl-matrix-min.js
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/**
* @fileoverview gl-matrix - High performance matrix and vector operations
* @author Brandon Jones
* @author Colin MacKenzie IV
* @version 2.3.0
*/
/* Copyright (c) 2015, Brandon Jones, Colin MacKenzie IV.
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE. */
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t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[4]=n[4],t[5]=n[5],t[6]=n[6],t[7]=n[7],t[8]=n[8],t[9]=n[9],t[10]=n[10],t[11]=n[11],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15],t},e.identity=function(t){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.transpose=function(t,n){if(t===n){var r=n[1],a=n[2],e=n[3],u=n[6],o=n[7],i=n[11];t[1]=n[4],t[2]=n[8],t[3]=n[12],t[4]=r,t[6]=n[9],t[7]=n[13],t[8]=a,t[9]=u,t[11]=n[14],t[12]=e,t[13]=o,t[14]=i}else t[0]=n[0],t[1]=n[4],t[2]=n[8],t[3]=n[12],t[4]=n[1],t[5]=n[5],t[6]=n[9],t[7]=n[13],t[8]=n[2],t[9]=n[6],t[10]=n[10],t[11]=n[14],t[12]=n[3],t[13]=n[7],t[14]=n[11],t[15]=n[15];return t},e.invert=function(t,n){var r=n[0],a=n[1],e=n[2],u=n[3],o=n[4],i=n[5],c=n[6],f=n[7],s=n[8],h=n[9],M=n[10],l=n[11],v=n[12],m=n[13],p=n[14],d=n[15],A=r*i-a*o,R=r*c-e*o,w=r*f-u*o,q=a*c-e*i,Y=a*f-u*i,g=e*f-u*c,y=s*m-h*v,x=s*p-M*v,P=s*d-l*v,E=h*p-M*m,T=h*d-l*m,b=M*d-l*p,D=A*b-R*T+w*E+q*P-Y*x+g*y;return D?(D=1/D,t[0]=(i*b-c*T+f*E)*D,t[1]=(e*T-a*b-u*E)*D,t[2]=(m*g-p*Y+d*q)*D,t[3]=(M*Y-h*g-l*q)*D,t[4]=(c*P-o*b-f*x)*D,t[5]=(r*b-e*P+u*x)*D,t[6]=(p*w-v*g-d*R)*D,t[7]=(s*g-M*w+l*R)*D,t[8]=(o*T-i*P+f*y)*D,t[9]=(a*P-r*T-u*y)*D,t[10]=(v*Y-m*w+d*A)*D,t[11]=(h*w-s*Y-l*A)*D,t[12]=(i*x-o*E-c*y)*D,t[13]=(r*E-a*x+e*y)*D,t[14]=(m*R-v*q-p*A)*D,t[15]=(s*q-h*R+M*A)*D,t):null},e.adjoint=function(t,n){var r=n[0],a=n[1],e=n[2],u=n[3],o=n[4],i=n[5],c=n[6],f=n[7],s=n[8],h=n[9],M=n[10],l=n[11],v=n[12],m=n[13],p=n[14],d=n[15];return t[0]=i*(M*d-l*p)-h*(c*d-f*p)+m*(c*l-f*M),t[1]=-(a*(M*d-l*p)-h*(e*d-u*p)+m*(e*l-u*M)),t[2]=a*(c*d-f*p)-i*(e*d-u*p)+m*(e*f-u*c),t[3]=-(a*(c*l-f*M)-i*(e*l-u*M)+h*(e*f-u*c)),t[4]=-(o*(M*d-l*p)-s*(c*d-f*p)+v*(c*l-f*M)),t[5]=r*(M*d-l*p)-s*(e*d-u*p)+v*(e*l-u*M),t[6]=-(r*(c*d-f*p)-o*(e*d-u*p)+v*(e*f-u*c)),t[7]=r*(c*l-f*M)-o*(e*l-u*M)+s*(e*f-u*c),t[8]=o*(h*d-l*m)-s*(i*d-f*m)+v*(i*l-f*h),t[9]=-(r*(h*d-l*m)-s*(a*d-u*m)+v*(a*l-u*h)),t[10]=r*(i*d-f*m)-o*(a*d-u*m)+v*(a*f-u*i),t[11]=-(r*(i*l-f*h)-o*(a*l-u*h)+s*(a*f-u*i)),t[12]=-(o*(h*p-M*m)-s*(i*p-c*m)+v*(i*M-c*h)),t[13]=r*(h*p-M*m)-s*(a*p-e*m)+v*(a*M-e*h),t[14]=-(r*(i*p-c*m)-o*(a*p-e*m)+v*(a*c-e*i)),t[15]=r*(i*M-c*h)-o*(a*M-e*h)+s*(a*c-e*i),t},e.determinant=function(t){var n=t[0],r=t[1],a=t[2],e=t[3],u=t[4],o=t[5],i=t[6],c=t[7],f=t[8],s=t[9],h=t[10],M=t[11],l=t[12],v=t[13],m=t[14],p=t[15],d=n*o-r*u,A=n*i-a*u,R=n*c-e*u,w=r*i-a*o,q=r*c-e*o,Y=a*c-e*i,g=f*v-s*l,y=f*m-h*l,x=f*p-M*l,P=s*m-h*v,E=s*p-M*v,T=h*p-M*m;return d*T-A*E+R*P+w*x-q*y+Y*g},e.multiply=function(t,n,r){var a=n[0],e=n[1],u=n[2],o=n[3],i=n[4],c=n[5],f=n[6],s=n[7],h=n[8],M=n[9],l=n[10],v=n[11],m=n[12],p=n[13],d=n[14],A=n[15],R=r[0],w=r[1],q=r[2],Y=r[3];return t[0]=R*a+w*i+q*h+Y*m,t[1]=R*e+w*c+q*M+Y*p,t[2]=R*u+w*f+q*l+Y*d,t[3]=R*o+w*s+q*v+Y*A,R=r[4],w=r[5],q=r[6],Y=r[7],t[4]=R*a+w*i+q*h+Y*m,t[5]=R*e+w*c+q*M+Y*p,t[6]=R*u+w*f+q*l+Y*d,t[7]=R*o+w*s+q*v+Y*A,R=r[8],w=r[9],q=r[10],Y=r[11],t[8]=R*a+w*i+q*h+Y*m,t[9]=R*e+w*c+q*M+Y*p,t[10]=R*u+w*f+q*l+Y*d,t[11]=R*o+w*s+q*v+Y*A,R=r[12],w=r[13],q=r[14],Y=r[15],t[12]=R*a+w*i+q*h+Y*m,t[13]=R*e+w*c+q*M+Y*p,t[14]=R*u+w*f+q*l+Y*d,t[15]=R*o+w*s+q*v+Y*A,t},e.mul=e.multiply,e.translate=function(t,n,r){var a,e,u,o,i,c,f,s,h,M,l,v,m=r[0],p=r[1],d=r[2];return n===t?(t[12]=n[0]*m+n[4]*p+n[8]*d+n[12],t[13]=n[1]*m+n[5]*p+n[9]*d+n[13],t[14]=n[2]*m+n[6]*p+n[10]*d+n[14],t[15]=n[3]*m+n[7]*p+n[11]*d+n[15]):(a=n[0],e=n[1],u=n[2],o=n[3],i=n[4],c=n[5],f=n[6],s=n[7],h=n[8],M=n[9],l=n[10],v=n[11],t[0]=a,t[1]=e,t[2]=u,t[3]=o,t[4]=i,t[5]=c,t[6]=f,t[7]=s,t[8]=h,t[9]=M,t[10]=l,t[11]=v,t[12]=a*m+i*p+h*d+n[12],t[13]=e*m+c*p+M*d+n[13],t[14]=u*m+f*p+l*d+n[14],t[15]=o*m+s*p+v*d+n[15]),t},e.scale=function(t,n,r){var a=r[0],e=r[1],u=r[2];return t[0]=n[0]*a,t[1]=n[1]*a,t[2]=n[2]*a,t[3]=n[3]*a,t[4]=n[4]*e,t[5]=n[5]*e,t[6]=n[6]*e,t[7]=n[7]*e,t[8]=n[8]*u,t[9]=n[9]*u,t[10]=n[10]*u,t[11]=n[11]*u,t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15],t},e.rotate=function(t,n,r,e){var u,o,i,c,f,s,h,M,l,v,m,p,d,A,R,w,q,Y,g,y,x,P,E,T,b=e[0],D=e[1],L=e[2],_=Math.sqrt(b*b+D*D+L*L);return Math.abs(_)<a.EPSILON?null:(_=1/_,b*=_,D*=_,L*=_,u=Math.sin(r),o=Math.cos(r),i=1-o,c=n[0],f=n[1],s=n[2],h=n[3],M=n[4],l=n[5],v=n[6],m=n[7],p=n[8],d=n[9],A=n[10],R=n[11],w=b*b*i+o,q=D*b*i+L*u,Y=L*b*i-D*u,g=b*D*i-L*u,y=D*D*i+o,x=L*D*i+b*u,P=b*L*i+D*u,E=D*L*i-b*u,T=L*L*i+o,t[0]=c*w+M*q+p*Y,t[1]=f*w+l*q+d*Y,t[2]=s*w+v*q+A*Y,t[3]=h*w+m*q+R*Y,t[4]=c*g+M*y+p*x,t[5]=f*g+l*y+d*x,t[6]=s*g+v*y+A*x,t[7]=h*g+m*y+R*x,t[8]=c*P+M*E+p*T,t[9]=f*P+l*E+d*T,t[10]=s*P+v*E+A*T,t[11]=h*P+m*E+R*T,n!==t&&(t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t)},e.rotateX=function(t,n,r){var a=Math.sin(r),e=Math.cos(r),u=n[4],o=n[5],i=n[6],c=n[7],f=n[8],s=n[9],h=n[10],M=n[11];return n!==t&&(t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[4]=u*e+f*a,t[5]=o*e+s*a,t[6]=i*e+h*a,t[7]=c*e+M*a,t[8]=f*e-u*a,t[9]=s*e-o*a,t[10]=h*e-i*a,t[11]=M*e-c*a,t},e.rotateY=function(t,n,r){var a=Math.sin(r),e=Math.cos(r),u=n[0],o=n[1],i=n[2],c=n[3],f=n[8],s=n[9],h=n[10],M=n[11];return n!==t&&(t[4]=n[4],t[5]=n[5],t[6]=n[6],t[7]=n[7],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[0]=u*e-f*a,t[1]=o*e-s*a,t[2]=i*e-h*a,t[3]=c*e-M*a,t[8]=u*a+f*e,t[9]=o*a+s*e,t[10]=i*a+h*e,t[11]=c*a+M*e,t},e.rotateZ=function(t,n,r){var a=Math.sin(r),e=Math.cos(r),u=n[0],o=n[1],i=n[2],c=n[3],f=n[4],s=n[5],h=n[6],M=n[7];return n!==t&&(t[8]=n[8],t[9]=n[9],t[10]=n[10],t[11]=n[11],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[0]=u*e+f*a,t[1]=o*e+s*a,t[2]=i*e+h*a,t[3]=c*e+M*a,t[4]=f*e-u*a,t[5]=s*e-o*a,t[6]=h*e-i*a,t[7]=M*e-c*a,t},e.fromTranslation=function(t,n){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=n[0],t[13]=n[1],t[14]=n[2],t[15]=1,t},e.fromScaling=function(t,n){return t[0]=n[0],t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=n[1],t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=n[2],t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.fromRotation=function(t,n,r){var e,u,o,i=r[0],c=r[1],f=r[2],s=Math.sqrt(i*i+c*c+f*f);return Math.abs(s)<a.EPSILON?null:(s=1/s,i*=s,c*=s,f*=s,e=Math.sin(n),u=Math.cos(n),o=1-u,t[0]=i*i*o+u,t[1]=c*i*o+f*e,t[2]=f*i*o-c*e,t[3]=0,t[4]=i*c*o-f*e,t[5]=c*c*o+u,t[6]=f*c*o+i*e,t[7]=0,t[8]=i*f*o+c*e,t[9]=c*f*o-i*e,t[10]=f*f*o+u,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t)},e.fromXRotation=function(t,n){var r=Math.sin(n),a=Math.cos(n);return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=a,t[6]=r,t[7]=0,t[8]=0,t[9]=-r,t[10]=a,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.fromYRotation=function(t,n){var r=Math.sin(n),a=Math.cos(n);return t[0]=a,t[1]=0,t[2]=-r,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=r,t[9]=0,t[10]=a,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.fromZRotation=function(t,n){var r=Math.sin(n),a=Math.cos(n);return t[0]=a,t[1]=r,t[2]=0,t[3]=0,t[4]=-r,t[5]=a,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.fromRotationTranslation=function(t,n,r){var a=n[0],e=n[1],u=n[2],o=n[3],i=a+a,c=e+e,f=u+u,s=a*i,h=a*c,M=a*f,l=e*c,v=e*f,m=u*f,p=o*i,d=o*c,A=o*f;return t[0]=1-(l+m),t[1]=h+A,t[2]=M-d,t[3]=0,t[4]=h-A,t[5]=1-(s+m),t[6]=v+p,t[7]=0,t[8]=M+d,t[9]=v-p,t[10]=1-(s+l),t[11]=0,t[12]=r[0],t[13]=r[1],t[14]=r[2],t[15]=1,t},e.fromRotationTranslationScale=function(t,n,r,a){var e=n[0],u=n[1],o=n[2],i=n[3],c=e+e,f=u+u,s=o+o,h=e*c,M=e*f,l=e*s,v=u*f,m=u*s,p=o*s,d=i*c,A=i*f,R=i*s,w=a[0],q=a[1],Y=a[2];return t[0]=(1-(v+p))*w,t[1]=(M+R)*w,t[2]=(l-A)*w,t[3]=0,t[4]=(M-R)*q,t[5]=(1-(h+p))*q,t[6]=(m+d)*q,t[7]=0,t[8]=(l+A)*Y,t[9]=(m-d)*Y,t[10]=(1-(h+v))*Y,t[11]=0,t[12]=r[0],t[13]=r[1],t[14]=r[2],t[15]=1,t},e.fromRotationTranslationScaleOrigin=function(t,n,r,a,e){var u=n[0],o=n[1],i=n[2],c=n[3],f=u+u,s=o+o,h=i+i,M=u*f,l=u*s,v=u*h,m=o*s,p=o*h,d=i*h,A=c*f,R=c*s,w=c*h,q=a[0],Y=a[1],g=a[2],y=e[0],x=e[1],P=e[2];return t[0]=(1-(m+d))*q,t[1]=(l+w)*q,t[2]=(v-R)*q,t[3]=0,t[4]=(l-w)*Y,t[5]=(1-(M+d))*Y,t[6]=(p+A)*Y,t[7]=0,t[8]=(v+R)*g,t[9]=(p-A)*g,t[10]=(1-(M+m))*g,t[11]=0,t[12]=r[0]+y-(t[0]*y+t[4]*x+t[8]*P),t[13]=r[1]+x-(t[1]*y+t[5]*x+t[9]*P),t[14]=r[2]+P-(t[2]*y+t[6]*x+t[10]*P),t[15]=1,t},e.fromQuat=function(t,n){var r=n[0],a=n[1],e=n[2],u=n[3],o=r+r,i=a+a,c=e+e,f=r*o,s=a*o,h=a*i,M=e*o,l=e*i,v=e*c,m=u*o,p=u*i,d=u*c;return t[0]=1-h-v,t[1]=s+d,t[2]=M-p,t[3]=0,t[4]=s-d,t[5]=1-f-v,t[6]=l+m,t[7]=0,t[8]=M+p,t[9]=l-m,t[10]=1-f-h,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.frustum=function(t,n,r,a,e,u,o){var i=1/(r-n),c=1/(e-a),f=1/(u-o);return t[0]=2*u*i,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=2*u*c,t[6]=0,t[7]=0,t[8]=(r+n)*i,t[9]=(e+a)*c,t[10]=(o+u)*f,t[11]=-1,t[12]=0,t[13]=0,t[14]=o*u*2*f,t[15]=0,t},e.perspective=function(t,n,r,a,e){var u=1/Math.tan(n/2),o=1/(a-e);return t[0]=u/r,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=u,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=(e+a)*o,t[11]=-1,t[12]=0,t[13]=0,t[14]=2*e*a*o,t[15]=0,t},e.perspectiveFromFieldOfView=function(t,n,r,a){var e=Math.tan(n.upDegrees*Math.PI/180),u=Math.tan(n.downDegrees*Math.PI/180),o=Math.tan(n.leftDegrees*Math.PI/180),i=Math.tan(n.rightDegrees*Math.PI/180),c=2/(o+i),f=2/(e+u);return t[0]=c,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=f,t[6]=0,t[7]=0,t[8]=-((o-i)*c*.5),t[9]=(e-u)*f*.5,t[10]=a/(r-a),t[11]=-1,t[12]=0,t[13]=0,t[14]=a*r/(r-a),t[15]=0,t},e.ortho=function(t,n,r,a,e,u,o){var i=1/(n-r),c=1/(a-e),f=1/(u-o);return t[0]=-2*i,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=-2*c,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=2*f,t[11]=0,t[12]=(n+r)*i,t[13]=(e+a)*c,t[14]=(o+u)*f,t[15]=1,t},e.lookAt=function(t,n,r,u){var o,i,c,f,s,h,M,l,v,m,p=n[0],d=n[1],A=n[2],R=u[0],w=u[1],q=u[2],Y=r[0],g=r[1],y=r[2];return Math.abs(p-Y)<a.EPSILON&&Math.abs(d-g)<a.EPSILON&&Math.abs(A-y)<a.EPSILON?e.identity(t):(M=p-Y,l=d-g,v=A-y,m=1/Math.sqrt(M*M+l*l+v*v),M*=m,l*=m,v*=m,o=w*v-q*l,i=q*M-R*v,c=R*l-w*M,m=Math.sqrt(o*o+i*i+c*c),m?(m=1/m,o*=m,i*=m,c*=m):(o=0,i=0,c=0),f=l*c-v*i,s=v*o-M*c,h=M*i-l*o,m=Math.sqrt(f*f+s*s+h*h),m?(m=1/m,f*=m,s*=m,h*=m):(f=0,s=0,h=0),t[0]=o,t[1]=f,t[2]=M,t[3]=0,t[4]=i,t[5]=s,t[6]=l,t[7]=0,t[8]=c,t[9]=h,t[10]=v,t[11]=0,t[12]=-(o*p+i*d+c*A),t[13]=-(f*p+s*d+h*A),t[14]=-(M*p+l*d+v*A),t[15]=1,t)},e.str=function(t){return"mat4("+t[0]+", "+t[1]+", "+t[2]+", "+t[3]+", "+t[4]+", "+t[5]+", "+t[6]+", "+t[7]+", "+t[8]+", "+t[9]+", "+t[10]+", "+t[11]+", "+t[12]+", "+t[13]+", "+t[14]+", "+t[15]+")"},e.frob=function(t){return 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