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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 2.2.1
*/
/* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright notice,
this list of conditions and the following disclaimer in the documentation
and/or other materials provided with the distribution.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
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a?(a=1/a,e[0]=s*a,e[1]=-r*a,e[2]=-i*a,e[3]=n*a,e[4]=(i*u-s*o)*a,e[5]=(r*o-n*u)*a,e):null},l.determinant=function(e){return e[0]*e[3]-e[1]*e[2]},l.multiply=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=n[0],l=n[1],c=n[2],h=n[3],p=n[4],d=n[5];return e[0]=r*f+s*l,e[1]=i*f+o*l,e[2]=r*c+s*h,e[3]=i*c+o*h,e[4]=r*p+s*d+u,e[5]=i*p+o*d+a,e},l.mul=l.multiply,l.rotate=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=Math.sin(n),l=Math.cos(n);return e[0]=r*l+s*f,e[1]=i*l+o*f,e[2]=r*-f+s*l,e[3]=i*-f+o*l,e[4]=u,e[5]=a,e},l.scale=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=n[0],l=n[1];return e[0]=r*f,e[1]=i*f,e[2]=s*l,e[3]=o*l,e[4]=u,e[5]=a,e},l.translate=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=n[0],l=n[1];return e[0]=r,e[1]=i,e[2]=s,e[3]=o,e[4]=r*f+s*l+u,e[5]=i*f+o*l+a,e},l.str=function(e){return"mat2d("+e[0]+", "+e[1]+", "+e[2]+", "+e[3]+", "+e[4]+", "+e[5]+")"},l.frob=function(e){return Math.sqrt(Math.pow(e[0],2)+Math.pow(e[1],2)+Math.pow(e[2],2)+Math.pow(e[3],2)+Math.pow(e[4],2)+Math.pow(e[5],2)+1)},typeof e!="undefined"&&(e.mat2d=l);var c={};c.create=function(){var e=new n(9);return e[0]=1,e[1]=0,e[2]=0,e[3]=0,e[4]=1,e[5]=0,e[6]=0,e[7]=0,e[8]=1,e},c.fromMat4=function(e,t){return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[4],e[4]=t[5],e[5]=t[6],e[6]=t[8],e[7]=t[9],e[8]=t[10],e},c.clone=function(e){var t=new n(9);return t[0]=e[0],t[1]=e[1],t[2]=e[2],t[3]=e[3],t[4]=e[4],t[5]=e[5],t[6]=e[6],t[7]=e[7],t[8]=e[8],t},c.copy=function(e,t){return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=t[7],e[8]=t[8],e},c.identity=function(e){return e[0]=1,e[1]=0,e[2]=0,e[3]=0,e[4]=1,e[5]=0,e[6]=0,e[7]=0,e[8]=1,e},c.transpose=function(e,t){if(e===t){var n=t[1],r=t[2],i=t[5];e[1]=t[3],e[2]=t[6],e[3]=n,e[5]=t[7],e[6]=r,e[7]=i}else e[0]=t[0],e[1]=t[3],e[2]=t[6],e[3]=t[1],e[4]=t[4],e[5]=t[7],e[6]=t[2],e[7]=t[5],e[8]=t[8];return e},c.invert=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=t[4],u=t[5],a=t[6],f=t[7],l=t[8],c=l*o-u*f,h=-l*s+u*a,p=f*s-o*a,d=n*c+r*h+i*p;return d?(d=1/d,e[0]=c*d,e[1]=(-l*r+i*f)*d,e[2]=(u*r-i*o)*d,e[3]=h*d,e[4]=(l*n-i*a)*d,e[5]=(-u*n+i*s)*d,e[6]=p*d,e[7]=(-f*n+r*a)*d,e[8]=(o*n-r*s)*d,e):null},c.adjoint=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=t[4],u=t[5],a=t[6],f=t[7],l=t[8];return e[0]=o*l-u*f,e[1]=i*f-r*l,e[2]=r*u-i*o,e[3]=u*a-s*l,e[4]=n*l-i*a,e[5]=i*s-n*u,e[6]=s*f-o*a,e[7]=r*a-n*f,e[8]=n*o-r*s,e},c.determinant=function(e){var t=e[0],n=e[1],r=e[2],i=e[3],s=e[4],o=e[5],u=e[6],a=e[7],f=e[8];return t*(f*s-o*a)+n*(-f*i+o*u)+r*(a*i-s*u)},c.multiply=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=t[6],l=t[7],c=t[8],h=n[0],p=n[1],d=n[2],v=n[3],m=n[4],g=n[5],y=n[6],b=n[7],w=n[8];return e[0]=h*r+p*o+d*f,e[1]=h*i+p*u+d*l,e[2]=h*s+p*a+d*c,e[3]=v*r+m*o+g*f,e[4]=v*i+m*u+g*l,e[5]=v*s+m*a+g*c,e[6]=y*r+b*o+w*f,e[7]=y*i+b*u+w*l,e[8]=y*s+b*a+w*c,e},c.mul=c.multiply,c.translate=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=t[6],l=t[7],c=t[8],h=n[0],p=n[1];return e[0]=r,e[1]=i,e[2]=s,e[3]=o,e[4]=u,e[5]=a,e[6]=h*r+p*o+f,e[7]=h*i+p*u+l,e[8]=h*s+p*a+c,e},c.rotate=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=t[6],l=t[7],c=t[8],h=Math.sin(n),p=Math.cos(n);return e[0]=p*r+h*o,e[1]=p*i+h*u,e[2]=p*s+h*a,e[3]=p*o-h*r,e[4]=p*u-h*i,e[5]=p*a-h*s,e[6]=f,e[7]=l,e[8]=c,e},c.scale=function(e,t,n){var r=n[0],i=n[1];return e[0]=r*t[0],e[1]=r*t[1],e[2]=r*t[2],e[3]=i*t[3],e[4]=i*t[4],e[5]=i*t[5],e[6]=t[6],e[7]=t[7],e[8]=t[8],e},c.fromMat2d=function(e,t){return e[0]=t[0],e[1]=t[1],e[2]=0,e[3]=t[2],e[4]=t[3],e[5]=0,e[6]=t[4],e[7]=t[5],e[8]=1,e},c.fromQuat=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=n+n,u=r+r,a=i+i,f=n*o,l=r*o,c=r*u,h=i*o,p=i*u,d=i*a,v=s*o,m=s*u,g=s*a;return e[0]=1-c-d,e[3]=l-g,e[6]=h+m,e[1]=l+g,e[4]=1-f-d,e[7]=p-v,e[2]=h-m,e[5]=p+v,e[8]=1-f-c,e},c.normalFromMat4=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=t[4],u=t[5],a=t[6],f=t[7],l=t[8],c=t[9],h=t[10],p=t[11],d=t[12],v=t[13],m=t[14],g=t[15],y=n*u-r*o,b=n*a-i*o,w=n*f-s*o,E=r*a-i*u,S=r*f-s*u,x=i*f-s*a,T=l*v-c*d,N=l*m-h*d,C=l*g-p*d,k=c*m-h*v,L=c*g-p*v,A=h*g-p*m,O=y*A-b*L+w*k+E*C-S*N+x*T;return O?(O=1/O,e[0]=(u*A-a*L+f*k)*O,e[1]=(a*C-o*A-f*N)*O,e[2]=(o*L-u*C+f*T)*O,e[3]=(i*L-r*A-s*k)*O,e[4]=(n*A-i*C+s*N)*O,e[5]=(r*C-n*L-s*T)*O,e[6]=(v*x-m*S+g*E)*O,e[7]=(m*w-d*x-g*b)*O,e[8]=(d*S-v*w+g*y)*O,e):null},c.str=function(e){return"mat3("+e[0]+", "+e[1]+", "+e[2]+", "+e[3]+", "+e[4]+", "+e[5]+", "+e[6]+", "+e[7]+", "+e[8]+")"},c.frob=function(e){return Math.sqrt(Math.pow(e[0],2)+Math.pow(e[1],2)+Math.pow(e[2],2)+Math.pow(e[3],2)+Math.pow(e[4],2)+Math.pow(e[5],2)+Math.pow(e[6],2)+Math.pow(e[7],2)+Math.pow(e[8],2))},typeof e!="undefined"&&(e.mat3=c);var h={};h.create=function(){var e=new n(16);return e[0]=1,e[1]=0,e[2]=0,e[3]=0,e[4]=0,e[5]=1,e[6]=0,e[7]=0,e[8]=0,e[9]=0,e[10]=1,e[11]=0,e[12]=0,e[13]=0,e[14]=0,e[15]=1,e},h.clone=function(e){var t=new n(16);return t[0]=e[0],t[1]=e[1],t[2]=e[2],t[3]=e[3],t[4]=e[4],t[5]=e[5],t[6]=e[6],t[7]=e[7],t[8]=e[8],t[9]=e[9],t[10]=e[10],t[11]=e[11],t[12]=e[12],t[13]=e[13],t[14]=e[14],t[15]=e[15],t},h.copy=function(e,t){return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=t[7],e[8]=t[8],e[9]=t[9],e[10]=t[10],e[11]=t[11],e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15],e},h.identity=function(e){return e[0]=1,e[1]=0,e[2]=0,e[3]=0,e[4]=0,e[5]=1,e[6]=0,e[7]=0,e[8]=0,e[9]=0,e[10]=1,e[11]=0,e[12]=0,e[13]=0,e[14]=0,e[15]=1,e},h.transpose=function(e,t){if(e===t){var n=t[1],r=t[2],i=t[3],s=t[6],o=t[7],u=t[11];e[1]=t[4],e[2]=t[8],e[3]=t[12],e[4]=n,e[6]=t[9],e[7]=t[13],e[8]=r,e[9]=s,e[11]=t[14],e[12]=i,e[13]=o,e[14]=u}else e[0]=t[0],e[1]=t[4],e[2]=t[8],e[3]=t[12],e[4]=t[1],e[5]=t[5],e[6]=t[9],e[7]=t[13],e[8]=t[2],e[9]=t[6],e[10]=t[10],e[11]=t[14],e[12]=t[3],e[13]=t[7],e[14]=t[11],e[15]=t[15];return e},h.invert=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=t[4],u=t[5],a=t[6],f=t[7],l=t[8],c=t[9],h=t[10],p=t[11],d=t[12],v=t[13],m=t[14],g=t[15],y=n*u-r*o,b=n*a-i*o,w=n*f-s*o,E=r*a-i*u,S=r*f-s*u,x=i*f-s*a,T=l*v-c*d,N=l*m-h*d,C=l*g-p*d,k=c*m-h*v,L=c*g-p*v,A=h*g-p*m,O=y*A-b*L+w*k+E*C-S*N+x*T;return O?(O=1/O,e[0]=(u*A-a*L+f*k)*O,e[1]=(i*L-r*A-s*k)*O,e[2]=(v*x-m*S+g*E)*O,e[3]=(h*S-c*x-p*E)*O,e[4]=(a*C-o*A-f*N)*O,e[5]=(n*A-i*C+s*N)*O,e[6]=(m*w-d*x-g*b)*O,e[7]=(l*x-h*w+p*b)*O,e[8]=(o*L-u*C+f*T)*O,e[9]=(r*C-n*L-s*T)*O,e[10]=(d*S-v*w+g*y)*O,e[11]=(c*w-l*S-p*y)*O,e[12]=(u*N-o*k-a*T)*O,e[13]=(n*k-r*N+i*T)*O,e[14]=(v*b-d*E-m*y)*O,e[15]=(l*E-c*b+h*y)*O,e):null},h.adjoint=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=t[4],u=t[5],a=t[6],f=t[7],l=t[8],c=t[9],h=t[10],p=t[11],d=t[12],v=t[13],m=t[14],g=t[15];return e[0]=u*(h*g-p*m)-c*(a*g-f*m)+v*(a*p-f*h),e[1]=-(r*(h*g-p*m)-c*(i*g-s*m)+v*(i*p-s*h)),e[2]=r*(a*g-f*m)-u*(i*g-s*m)+v*(i*f-s*a),e[3]=-(r*(a*p-f*h)-u*(i*p-s*h)+c*(i*f-s*a)),e[4]=-(o*(h*g-p*m)-l*(a*g-f*m)+d*(a*p-f*h)),e[5]=n*(h*g-p*m)-l*(i*g-s*m)+d*(i*p-s*h),e[6]=-(n*(a*g-f*m)-o*(i*g-s*m)+d*(i*f-s*a)),e[7]=n*(a*p-f*h)-o*(i*p-s*h)+l*(i*f-s*a),e[8]=o*(c*g-p*v)-l*(u*g-f*v)+d*(u*p-f*c),e[9]=-(n*(c*g-p*v)-l*(r*g-s*v)+d*(r*p-s*c)),e[10]=n*(u*g-f*v)-o*(r*g-s*v)+d*(r*f-s*u),e[11]=-(n*(u*p-f*c)-o*(r*p-s*c)+l*(r*f-s*u)),e[12]=-(o*(c*m-h*v)-l*(u*m-a*v)+d*(u*h-a*c)),e[13]=n*(c*m-h*v)-l*(r*m-i*v)+d*(r*h-i*c),e[14]=-(n*(u*m-a*v)-o*(r*m-i*v)+d*(r*a-i*u)),e[15]=n*(u*h-a*c)-o*(r*h-i*c)+l*(r*a-i*u),e},h.determinant=function(e){var t=e[0],n=e[1],r=e[2],i=e[3],s=e[4],o=e[5],u=e[6],a=e[7],f=e[8],l=e[9],c=e[10],h=e[11],p=e[12],d=e[13],v=e[14],m=e[15],g=t*o-n*s,y=t*u-r*s,b=t*a-i*s,w=n*u-r*o,E=n*a-i*o,S=r*a-i*u,x=f*d-l*p,T=f*v-c*p,N=f*m-h*p,C=l*v-c*d,k=l*m-h*d,L=c*m-h*v;return g*L-y*k+b*C+w*N-E*T+S*x},h.multiply=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=t[4],a=t[5],f=t[6],l=t[7],c=t[8],h=t[9],p=t[10],d=t[11],v=t[12],m=t[13],g=t[14],y=t[15],b=n[0],w=n[1],E=n[2],S=n[3];return e[0]=b*r+w*u+E*c+S*v,e[1]=b*i+w*a+E*h+S*m,e[2]=b*s+w*f+E*p+S*g,e[3]=b*o+w*l+E*d+S*y,b=n[4],w=n[5],E=n[6],S=n[7],e[4]=b*r+w*u+E*c+S*v,e[5]=b*i+w*a+E*h+S*m,e[6]=b*s+w*f+E*p+S*g,e[7]=b*o+w*l+E*d+S*y,b=n[8],w=n[9],E=n[10],S=n[11],e[8]=b*r+w*u+E*c+S*v,e[9]=b*i+w*a+E*h+S*m,e[10]=b*s+w*f+E*p+S*g,e[11]=b*o+w*l+E*d+S*y,b=n[12],w=n[13],E=n[14],S=n[15],e[12]=b*r+w*u+E*c+S*v,e[13]=b*i+w*a+E*h+S*m,e[14]=b*s+w*f+E*p+S*g,e[15]=b*o+w*l+E*d+S*y,e},h.mul=h.multiply,h.translate=function(e,t,n){var r=n[0],i=n[1],s=n[2],o,u,a,f,l,c,h,p,d,v,m,g;return t===e?(e[12]=t[0]*r+t[4]*i+t[8]*s+t[12],e[13]=t[1]*r+t[5]*i+t[9]*s+t[13],e[14]=t[2]*r+t[6]*i+t[10]*s+t[14],e[15]=t[3]*r+t[7]*i+t[11]*s+t[15]):(o=t[0],u=t[1],a=t[2],f=t[3],l=t[4],c=t[5],h=t[6],p=t[7],d=t[8],v=t[9],m=t[10],g=t[11],e[0]=o,e[1]=u,e[2]=a,e[3]=f,e[4]=l,e[5]=c,e[6]=h,e[7]=p,e[8]=d,e[9]=v,e[10]=m,e[11]=g,e[12]=o*r+l*i+d*s+t[12],e[13]=u*r+c*i+v*s+t[13],e[14]=a*r+h*i+m*s+t[14],e[15]=f*r+p*i+g*s+t[15]),e},h.scale=function(e,t,n){var r=n[0],i=n[1],s=n[2];return e[0]=t[0]*r,e[1]=t[1]*r,e[2]=t[2]*r,e[3]=t[3]*r,e[4]=t[4]*i,e[5]=t[5]*i,e[6]=t[6]*i,e[7]=t[7]*i,e[8]=t[8]*s,e[9]=t[9]*s,e[10]=t[10]*s,e[11]=t[11]*s,e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15],e},h.rotate=function(e,n,r,i){var s=i[0],o=i[1],u=i[2],a=Math.sqrt(s*s+o*o+u*u),f,l,c,h,p,d,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A,O,M,_;return Math.abs(a)<t?null:(a=1/a,s*=a,o*=a,u*=a,f=Math.sin(r),l=Math.cos(r),c=1-l,h=n[0],p=n[1],d=n[2],v=n[3],m=n[4],g=n[5],y=n[6],b=n[7],w=n[8],E=n[9],S=n[10],x=n[11],T=s*s*c+l,N=o*s*c+u*f,C=u*s*c-o*f,k=s*o*c-u*f,L=o*o*c+l,A=u*o*c+s*f,O=s*u*c+o*f,M=o*u*c-s*f,_=u*u*c+l,e[0]=h*T+m*N+w*C,e[1]=p*T+g*N+E*C,e[2]=d*T+y*N+S*C,e[3]=v*T+b*N+x*C,e[4]=h*k+m*L+w*A,e[5]=p*k+g*L+E*A,e[6]=d*k+y*L+S*A,e[7]=v*k+b*L+x*A,e[8]=h*O+m*M+w*_,e[9]=p*O+g*M+E*_,e[10]=d*O+y*M+S*_,e[11]=v*O+b*M+x*_,n!==e&&(e[12]=n[12],e[13]=n[13],e[14]=n[14],e[15]=n[15]),e)},h.rotateX=function(e,t,n){var r=Math.sin(n),i=Math.cos(n),s=t[4],o=t[5],u=t[6],a=t[7],f=t[8],l=t[9],c=t[10],h=t[11];return t!==e&&(e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15]),e[4]=s*i+f*r,e[5]=o*i+l*r,e[6]=u*i+c*r,e[7]=a*i+h*r,e[8]=f*i-s*r,e[9]=l*i-o*r,e[10]=c*i-u*r,e[11]=h*i-a*r,e},h.rotateY=function(e,t,n){var r=Math.sin(n),i=Math.cos(n),s=t[0],o=t[1],u=t[2],a=t[3],f=t[8],l=t[9],c=t[10],h=t[11];return t!==e&&(e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=t[7],e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15]),e[0]=s*i-f*r,e[1]=o*i-l*r,e[2]=u*i-c*r,e[3]=a*i-h*r,e[8]=s*r+f*i,e[9]=o*r+l*i,e[10]=u*r+c*i,e[11]=a*r+h*i,e},h.rotateZ=function(e,t,n){var r=Math.sin(n),i=Math.cos(n),s=t[0],o=t[1],u=t[2],a=t[3],f=t[4],l=t[5],c=t[6],h=t[7];return t!==e&&(e[8]=t[8],e[9]=t[9],e[10]=t[10],e[11]=t[11],e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15]),e[0]=s*i+f*r,e[1]=o*i+l*r,e[2]=u*i+c*r,e[3]=a*i+h*r,e[4]=f*i-s*r,e[5]=l*i-o*r,e[6]=c*i-u*r,e[7]=h*i-a*r,e},h.fromRotationTranslation=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=r+r,a=i+i,f=s+s,l=r*u,c=r*a,h=r*f,p=i*a,d=i*f,v=s*f,m=o*u,g=o*a,y=o*f;return e[0]=1-(p+v),e[1]=c+y,e[2]=h-g,e[3]=0,e[4]=c-y,e[5]=1-(l+v),e[6]=d+m,e[7]=0,e[8]=h+g,e[9]=d-m,e[10]=1-(l+p),e[11]=0,e[12]=n[0],e[13]=n[1],e[14]=n[2],e[15]=1,e},h.fromQuat=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=n+n,u=r+r,a=i+i,f=n*o,l=r*o,c=r*u,h=i*o,p=i*u,d=i*a,v=s*o,m=s*u,g=s*a;return e[0]=1-c-d,e[1]=l+g,e[2]=h-m,e[3]=0,e[4]=l-g,e[5]=1-f-d,e[6]=p+v,e[7]=0,e[8]=h+m,e[9]=p-v,e[10]=1-f-c,e[11]=0,e[12]=0,e[13]=0,e[14]=0,e[15]=1,e},h.frustum=function(e,t,n,r,i,s,o){var u=1/(n-t),a=1/(i-r),f=1/(s-o);return e[0]=s*2*u,e[1]=0,e[2]=0,e[3]=0,e[4]=0,e[5]=s*2*a,e[6]=0,e[7]=0,e[8]=(n+t)*u,e[9]=(i+r)*a,e[10]=(o+s)*f,e[11]=-1,e[12]=0,e[13]=0,e[14]=o*s*2*f,e[15]=0,e},h.perspective=function(e,t,n,r,i){var s=1/Math.tan(t/2),o=1/(r-i);return e[0]=s/n,e[1]=0,e[2]=0,e[3]=0,e[4]=0,e[5]=s,e[6]=0,e[7]=0,e[8]=0,e[9]=0,e[10]=(i+r)*o,e[11]=-1,e[12]=0,e[13]=0,e[14]=2*i*r*o,e[15]=0,e},h.ortho=function(e,t,n,r,i,s,o){var u=1/(t-n),a=1/(r-i),f=1/(s-o);return e[0]=-2*u,e[1]=0,e[2]=0,e[3]=0,e[4]=0,e[5]=-2*a,e[6]=0,e[7]=0,e[8]=0,e[9]=0,e[10]=2*f,e[11]=0,e[12]=(t+n)*u,e[13]=(i+r)*a,e[14]=(o+s)*f,e[15]=1,e},h.lookAt=function(e,n,r,i){var s,o,u,a,f,l,c,p,d,v,m=n[0],g=n[1],y=n[2],b=i[0],w=i[1],E=i[2],S=r[0],x=r[1],T=r[2];return Math.abs(m-S)<t&&Math.abs(g-x)<t&&Math.abs(y-T)<t?h.identity(e):(c=m-S,p=g-x,d=y-T,v=1/Math.sqrt(c*c+p*p+d*d),c*=v,p*=v,d*=v,s=w*d-E*p,o=E*c-b*d,u=b*p-w*c,v=Math.sqrt(s*s+o*o+u*u),v?(v=1/v,s*=v,o*=v,u*=v):(s=0,o=0,u=0),a=p*u-d*o,f=d*s-c*u,l=c*o-p*s,v=Math.sqrt(a*a+f*f+l*l),v?(v=1/v,a*=v,f*=v,l*=v):(a=0,f=0,l=0),e[0]=s,e[1]=a,e[2]=c,e[3]=0,e[4]=o,e[5]=f,e[6]=p,e[7]=0,e[8]=u,e[9]=l,e[10]=d,e[11]=0,e[12]=-(s*m+o*g+u*y),e[13]=-(a*m+f*g+l*y),e[14]=-(c*m+p*g+d*y),e[15]=1,e)},h.str=function(e){return"mat4("+e[0]+", "+e[1]+", "+e[2]+", "+e[3]+", "+e[4]+", "+e[5]+", "+e[6]+", "+e[7]+", "+e[8]+", "+e[9]+", "+e[10]+", "+e[11]+", "+e[12]+", "+e[13]+", "+e[14]+", "+e[15]+")"},h.frob=function(e){return Math.sqrt(Math.pow(e[0],2)+Math.pow(e[1],2)+Math.pow(e[2],2)+Math.pow(e[3],2)+Math.pow(e[4],2)+Math.pow(e[5],2)+Math.pow(e[6],2)+Math.pow(e[6],2)+Math.pow(e[7],2)+Math.pow(e[8],2)+Math.pow(e[9],2)+Math.pow(e[10],2)+Math.pow(e[11],2)+Math.pow(e[12],2)+Math.pow(e[13],2)+Math.pow(e[14],2)+Math.pow(e[15],2))},typeof e!="undefined"&&(e.mat4=h);var p={};p.create=function(){var e=new n(4);return e[0]=0,e[1]=0,e[2]=0,e[3]=1,e},p.rotationTo=function(){var e=u.create(),t=u.fromValues(1,0,0),n=u.fromValues(0,1,0);return function(r,i,s){var o=u.dot(i,s);return o<-0.999999?(u.cross(e,t,i),u.length(e)<1e-6&&u.cross(e,n,i),u.normalize(e,e),p.setAxisAngle(r,e,Math.PI),r):o>.999999?(r[0]=0,r[1]=0,r[2]=0,r[3]=1,r):(u.cross(e,i,s),r[0]=e[0],r[1]=e[1],r[2]=e[2],r[3]=1+o,p.normalize(r,r))}}(),p.setAxes=function(){var e=c.create();return function(t,n,r,i){return e[0]=r[0],e[3]=r[1],e[6]=r[2],e[1]=i[0],e[4]=i[1],e[7]=i[2],e[2]=-n[0],e[5]=-n[1],e[8]=-n[2],p.normalize(t,p.fromMat3(t,e))}}(),p.clone=a.clone,p.fromValues=a.fromValues,p.copy=a.copy,p.set=a.set,p.identity=function(e){return e[0]=0,e[1]=0,e[2]=0,e[3]=1,e},p.setAxisAngle=function(e,t,n){n*=.5;var r=Math.sin(n);return e[0]=r*t[0],e[1]=r*t[1],e[2]=r*t[2],e[3]=Math.cos(n),e},p.add=a.add,p.multiply=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=n[0],a=n[1],f=n[2],l=n[3];return e[0]=r*l+o*u+i*f-s*a,e[1]=i*l+o*a+s*u-r*f,e[2]=s*l+o*f+r*a-i*u,e[3]=o*l-r*u-i*a-s*f,e},p.mul=p.multiply,p.scale=a.scale,p.rotateX=function(e,t,n){n*=.5;var r=t[0],i=t[1],s=t[2],o=t[3],u=Math.sin(n),a=Math.cos(n);return e[0]=r*a+o*u,e[1]=i*a+s*u,e[2]=s*a-i*u,e[3]=o*a-r*u,e},p.rotateY=function(e,t,n){n*=.5;var r=t[0],i=t[1],s=t[2],o=t[3],u=Math.sin(n),a=Math.cos(n);return e[0]=r*a-s*u,e[1]=i*a+o*u,e[2]=s*a+r*u,e[3]=o*a-i*u,e},p.rotateZ=function(e,t,n){n*=.5;var r=t[0],i=t[1],s=t[2],o=t[3],u=Math.sin(n),a=Math.cos(n);return e[0]=r*a+i*u,e[1]=i*a-r*u,e[2]=s*a+o*u,e[3]=o*a-s*u,e},p.calculateW=function(e,t){var n=t[0],r=t[1],i=t[2];return e[0]=n,e[1]=r,e[2]=i,e[3]=-Math.sqrt(Math.abs(1-n*n-r*r-i*i)),e},p.dot=a.dot,p.lerp=a.lerp,p.slerp=function(e,t,n,r){var i=t[0],s=t[1],o=t[2],u=t[3],a=n[0],f=n[1],l=n[2],c=n[3],h,p,d,v,m;return p=i*a+s*f+o*l+u*c,p<0&&(p=-p,a=-a,f=-f,l=-l,c=-c),1-p>1e-6?(h=Math.acos(p),d=Math.sin(h),v=Math.sin((1-r)*h)/d,m=Math.sin(r*h)/d):(v=1-r,m=r),e[0]=v*i+m*a,e[1]=v*s+m*f,e[2]=v*o+m*l,e[3]=v*u+m*c,e},p.invert=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=n*n+r*r+i*i+s*s,u=o?1/o:0;return e[0]=-n*u,e[1]=-r*u,e[2]=-i*u,e[3]=s*u,e},p.conjugate=function(e,t){return e[0]=-t[0],e[1]=-t[1],e[2]=-t[2],e[3]=t[3],e},p.length=a.length,p.len=p.length,p.squaredLength=a.squaredLength,p.sqrLen=p.squaredLength,p.normalize=a.normalize,p.fromMat3=function(e,t){var n=t[0]+t[4]+t[8],r;if(n>0)r=Math.sqrt(n+1),e[3]=.5*r,r=.5/r,e[0]=(t[7]-t[5])*r,e[1]=(t[2]-t[6])*r,e[2]=(t[3]-t[1])*r;else{var i=0;t[4]>t[0]&&(i=1),t[8]>t[i*3+i]&&(i=2);var s=(i+1)%3,o=(i+2)%3;r=Math.sqrt(t[i*3+i]-t[s*3+s]-t[o*3+o]+1),e[i]=.5*r,r=.5/r,e[3]=(t[o*3+s]-t[s*3+o])*r,e[s]=(t[s*3+i]+t[i*3+s])*r,e[o]=(t[o*3+i]+t[i*3+o])*r}return e},p.str=function(e){return"quat("+e[0]+", "+e[1]+", "+e[2]+", "+e[3]+")"},typeof e!="undefined"&&(e.quat=p)}(t.exports)})(this);