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gl-matrix - npm Package Compare versions
Comparing version 2.0.0 to 2.2.1
@@ -5,5 +5,5 @@ /** | ||
| * @author Colin MacKenzie IV | ||
| * @version 2.0.0 | ||
| * @version 2.2.1 | ||
| */ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -16,3 +16,3 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| * Redistributions in binary form must reproduce the above copyright notice, | ||
| this list of conditions and the following disclaimer in the documentation | ||
| this list of conditions and the following disclaimer in the documentation | ||
| and/or other materials provided with the distribution. | ||
@@ -22,3 +22,3 @@ | ||
| ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED | ||
| WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE | ||
| WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE | ||
| DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR | ||
@@ -31,2 +31,2 @@ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES | ||
| SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ | ||
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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},f.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},f.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},f.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},f.mul=f.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},f.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},f.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},f.rotate=function(e,t,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)<n?null:(a=1/a,s*=a,o*=a,u*=a,f=Math.sin(r),l=Math.cos(r),c=1-l,h=t[0],p=t[1],d=t[2],v=t[3],m=t[4],g=t[5],y=t[6],b=t[7],w=t[8],E=t[9],S=t[10],x=t[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*_,t!==e&&(e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15]),e)},f.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},f.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},f.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},f.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},f.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},f.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},f.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},f.lookAt=function(e,t,r,i){var s,o,u,a,l,c,h,p,d,v,m=t[0],g=t[1],y=t[2],b=i[0],w=i[1],E=i[2],S=r[0],x=r[1],T=r[2];return Math.abs(m-S)<n&&Math.abs(g-x)<n&&Math.abs(y-T)<n?f.identity(e):(h=m-S,p=g-x,d=y-T,v=1/Math.sqrt(h*h+p*p+d*d),h*=v,p*=v,d*=v,s=w*d-E*p,o=E*h-b*d,u=b*p-w*h,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,l=d*s-h*u,c=h*o-p*s,v=Math.sqrt(a*a+l*l+c*c),v?(v=1/v,a*=v,l*=v,c*=v):(a=0,l=0,c=0),e[0]=s,e[1]=a,e[2]=h,e[3]=0,e[4]=o,e[5]=l,e[6]=p,e[7]=0,e[8]=u,e[9]=c,e[10]=d,e[11]=0,e[12]=-(s*m+o*g+u*y),e[13]=-(a*m+l*g+c*y),e[14]=-(h*m+p*g+d*y),e[15]=1,e)},f.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]+")"},typeof e!="undefined"&&(e.mat4=f);var c={},h=new Float32Array([0,0,0,1]);if(!n)var n=1e-6;c.create=function(){return new Float32Array(h)},c.clone=i.clone,c.fromValues=i.fromValues,c.copy=i.copy,c.set=i.set,c.identity=function(e){return e[0]=0,e[1]=0,e[2]=0,e[3]=1,e},c.setAxisAngle=function(e,t,n){n*=.5;var r=Math.sin(n);return 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e[0]=r*a+s*u,e[1]=i*a+o*u,e[2]=r*-u+s*a,e[3]=i*-u+o*a,e},f.scale=function(e,t,n){var r=t[0],i=t[1],s=t[2],o=t[3],u=n[0],a=n[1];return e[0]=r*u,e[1]=i*u,e[2]=s*a,e[3]=o*a,e},f.str=function(e){return"mat2("+e[0]+", "+e[1]+", "+e[2]+", "+e[3]+")"},f.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))},f.LDU=function(e,t,n,r){return e[2]=r[2]/r[0],n[0]=r[0],n[1]=r[1],n[3]=r[3]-e[2]*n[1],[e,t,n]},typeof e!="undefined"&&(e.mat2=f);var l={};l.create=function(){var e=new n(6);return e[0]=1,e[1]=0,e[2]=0,e[3]=1,e[4]=0,e[5]=0,e},l.clone=function(e){var t=new n(6);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},l.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},l.identity=function(e){return e[0]=1,e[1]=0,e[2]=0,e[3]=1,e[4]=0,e[5]=0,e},l.invert=function(e,t){var n=t[0],r=t[1],i=t[2],s=t[3],o=t[4],u=t[5],a=n*s-r*i;return 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); |
@@ -1,2 +0,2 @@ | ||
| Copyright (c) 2012 Brandon Jones, Colin MacKenzie IV | ||
| Copyright (c) 2013 Brandon Jones, Colin MacKenzie IV | ||
@@ -3,0 +3,0 @@ This software is provided 'as-is', without any express or implied |
| { | ||
| "name": "gl-matrix", | ||
| "description": "Javascript Matrix and Vector library for High Performance WebGL apps", | ||
| "version": "2.0.0", | ||
| "version": "2.2.1", | ||
| "main": "dist/gl-matrix.js", | ||
| "homepage": "http://glmatrix.net", | ||
| "bugs": { | ||
| "url": "https://github.com/toji/gl-matrix/issues" | ||
| }, | ||
| "repository": { | ||
| "type": "git", | ||
| "url": "http://glmatrix.net" | ||
| "url": "https://github.com/toji/gl-matrix.git" | ||
| }, | ||
| "author": { | ||
| "name": "Brandon Jones", | ||
| "email": "tojiro@gmail.com" | ||
| "contributors": [ | ||
| { | ||
| "name": "Brandon Jones", | ||
| "email": "tojiro@gmail.com" | ||
| }, | ||
| { | ||
| "name": "Colin MacKenzie IV", | ||
| "email": "sinisterchipmunk@gmail.com" | ||
| } | ||
| ], | ||
| "devDependencies" : { | ||
| "covershot": "0.1.0", | ||
| "node-jsmeter": "0.1.2", | ||
| "jasmine-node": "1.2.2" | ||
| }, | ||
| "license": "BSD" | ||
| } |
| glMatrix | ||
| ======================= | ||
| Javascript has evolved into a lanugage capable of handling realtime 3D graphics, | ||
| Javascript has evolved into a language capable of handling realtime 3D graphics, | ||
| via WebGL, and computationally intensive tasks such as physics simulations. | ||
@@ -15,50 +15,9 @@ These types of applications demand high performance vector and matrix math, | ||
| Documentation | ||
| Learn More | ||
| ---------------------- | ||
| Documentation for all glMatrix functions can be found [here](http://glmatrix.net/docs/2.0.0/) | ||
| For documentation, news, tutorials, and more visit the [glMatrix Homepage](http://glmatrix.net/) | ||
| What's new in 2.0? | ||
| ------------------------- | ||
| glMatrix 2.0 is the result of a lot of excellent feedback from the community, | ||
| and features: | ||
| - Revamped and consistent API (not backward compatible with 1.x, sorry!) | ||
| - New functions for each type, based on request. | ||
| - New array operations: vec(2/3/4).forEach | ||
| - Even more optimizations! | ||
| - A cleaner code base, broken up by type. | ||
| - A more complete unit testing suite. | ||
| Looking for an older version? | ||
| ----------------------------- | ||
| You can download previous versions of glMatrix [here](https://github.com/toji/gl-matrix/tags) | ||
| A note about Matrix formatting | ||
| ------------------------------ | ||
| glMatrix is modeled after the needs of WebGL, which in turn uses matrix | ||
| conventions set by [OpenGL](http://www.opengl.org/archives/resources/faq/technical/transformations.htm). | ||
| Specifically, a 4x4 matrix is an array of 16 contiguous floats with the 13th, | ||
| 14th, and 15th elements representing the X, Y, and Z, translation components. | ||
| This may lead to some confusion when referencing OpenGL documentation, however, | ||
| which represents out all matricies in column-major format. This means that while | ||
| in code a matrix may be typed out as: | ||
| [1, 0, 0, 0, | ||
| 0, 1, 0, 0, | ||
| 0, 0, 1, 0, | ||
| x, y, z, 0] | ||
| The same matrix in the [OpenGL documentation](http://www.opengl.org/sdk/docs/man2/xhtml/glTranslate.xml) | ||
| is written as: | ||
| 1 0 0 x | ||
| 0 1 0 y | ||
| 0 0 1 z | ||
| 0 0 0 0 | ||
| Please rest assured, however, that they are the same thing! This is not unique | ||
| to glMatrix, either, as OpenGL developers have long been confused by the | ||
| apparent lack of consistency between the memory layout and the documentation. | ||
| Sorry about that, but there's not much I can do about it. | ||
| Contributing | ||
| ---------------------- | ||
| Contributions are welcome! Please make pull requests agains the `dev` branch, | ||
| and please provide unit tests for new functionality. (See TESTING.md for details) |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -125,3 +125,3 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| it("should place values into out", function() { expect(out).toBeEqualish([19, 22, 43, 50]); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([23, 34, 31, 46]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
@@ -135,3 +135,3 @@ it("should not modify matA", function() { expect(matA).toBeEqualish([1, 2, 3, 4]); }); | ||
| it("should place values into matA", function() { expect(matA).toBeEqualish([19, 22, 43, 50]); }); | ||
| it("should place values into matA", function() { expect(matA).toBeEqualish([23, 34, 31, 46]); }); | ||
| it("should return matA", function() { expect(result).toBe(matA); }); | ||
@@ -144,3 +144,3 @@ it("should not modify matB", function() { expect(matB).toBeEqualish([5, 6, 7, 8]); }); | ||
| it("should place values into matB", function() { expect(matB).toBeEqualish([19, 22, 43, 50]); }); | ||
| it("should place values into matB", function() { expect(matB).toBeEqualish([23, 34, 31, 46]); }); | ||
| it("should return matB", function() { expect(result).toBe(matB); }); | ||
@@ -155,3 +155,3 @@ it("should not modify matA", function() { expect(matA).toBeEqualish([1, 2, 3, 4]); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([2, -1, 4, -3]); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([3, 4, -1, -2]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
@@ -164,3 +164,3 @@ it("should not modify matA", function() { expect(matA).toBeEqualish([1, 2, 3, 4]); }); | ||
| it("should place values into matA", function() { expect(matA).toBeEqualish([2, -1, 4, -3]); }); | ||
| it("should place values into matA", function() { expect(matA).toBeEqualish([3, 4, -1, -2]); }); | ||
| it("should return matA", function() { expect(result).toBe(matA); }); | ||
@@ -177,3 +177,3 @@ }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([2, 6, 6, 12]); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([2, 4, 9, 12]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
@@ -186,3 +186,3 @@ it("should not modify matA", function() { expect(matA).toBeEqualish([1, 2, 3, 4]); }); | ||
| it("should place values into matA", function() { expect(matA).toBeEqualish([2, 6, 6, 12]); }); | ||
| it("should place values into matA", function() { expect(matA).toBeEqualish([2, 4, 9, 12]); }); | ||
| it("should return matA", function() { expect(result).toBe(matA); }); | ||
@@ -197,2 +197,22 @@ }); | ||
| }); | ||
| }); | ||
| describe("frob", function() { | ||
| beforeEach(function() { result = mat2.frob(matA); }); | ||
| it("should return the Frobenius Norm of the matrix", function() { expect(result).toEqual( Math.sqrt(Math.pow(1, 2) + Math.pow(2, 2) + Math.pow(3, 2) + Math.pow(4, 2))); }); | ||
| }); | ||
| describe("LDU", function() { | ||
| beforeEach(function() {L = mat2.create(); D = mat2.create(); U = mat2.create(); result = mat2.LDU(L, D, U, [4,3,6,3]); | ||
| L_result = mat2.create(); L_result[2] = 1.5; | ||
| D_result = mat2.create(); | ||
| U_result = mat2.create(); | ||
| U_result[0] = 4; U_result[1] = 3; U_result[3] = -1.5; | ||
| }); | ||
| it("should return a lower triangular, a diagonal and an upper triangular matrix", function() { | ||
| expect(result[0]).toBeEqualish(L_result); | ||
| expect(result[1]).toBeEqualish(D_result); | ||
| expect(result[2]).toBeEqualish(U_result); | ||
| }); | ||
| }); | ||
| }); |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -44,2 +44,88 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| describe("normalFromMat4", function() { | ||
| beforeEach(function() { | ||
| matA = [1, 0, 0, 0, | ||
| 0, 1, 0, 0, | ||
| 0, 0, 1, 0, | ||
| 0, 0, 0, 1]; | ||
| result = mat3.normalFromMat4(out, matA); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| describe("with translation and rotation", function() { | ||
| beforeEach(function() { | ||
| mat4.translate(matA, matA, [2, 4, 6]); | ||
| mat4.rotateX(matA, matA, Math.PI / 2); | ||
| result = mat3.normalFromMat4(out, matA); | ||
| }); | ||
| it("should give rotated matrix", function() { | ||
| expect(result).toBeEqualish([1, 0, 0, | ||
| 0, 0, 1, | ||
| 0,-1, 0]); | ||
| }); | ||
| describe("and scale", function() { | ||
| beforeEach(function() { | ||
| mat4.scale(matA, matA, [2, 3, 4]); | ||
| result = mat3.normalFromMat4(out, matA); | ||
| }); | ||
| it("should give rotated matrix", function() { | ||
| expect(result).toBeEqualish([0.5, 0, 0, | ||
| 0, 0, 0.333333, | ||
| 0, -0.25, 0]); | ||
| }); | ||
| }); | ||
| }); | ||
| }); | ||
| describe("fromQuat", function() { | ||
| var q; | ||
| beforeEach(function() { | ||
| q = [ 0, -0.7071067811865475, 0, 0.7071067811865475 ]; | ||
| result = mat3.fromQuat(out, q); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should rotate a vector the same as the original quat", function() { | ||
| expect(vec3.transformMat3([], [0,0,-1], out)).toBeEqualish(vec3.transformQuat([], [0,0,-1], q)); | ||
| }); | ||
| it("should rotate a vector by PI/2 radians", function() { | ||
| expect(vec3.transformMat3([], [0,0,-1], out)).toBeEqualish([1,0,0]); | ||
| }); | ||
| }); | ||
| describe("fromMat4", function() { | ||
| beforeEach(function() { | ||
| result = mat3.fromMat4(out, [ 1, 2, 3, 4, | ||
| 5, 6, 7, 8, | ||
| 9,10,11,12, | ||
| 13,14,15,16]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should calculate proper mat3", function() { | ||
| expect(out).toBeEqualish([ 1, 2, 3, | ||
| 5, 6, 7, | ||
| 9,10,11]); | ||
| }); | ||
| }); | ||
| describe("scale", function() { | ||
| beforeEach(function() { result = mat3.scale(out, matA, [2,2]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it('should place proper values in out', function() { | ||
| expect(out).toBeEqualish([ 2, 0, 0, | ||
| 0, 2, 0, | ||
| 1, 2, 1 ]); | ||
| }); | ||
| }); | ||
| describe("create", function() { | ||
@@ -254,2 +340,8 @@ beforeEach(function() { result = mat3.create(); }); | ||
| }); | ||
| }); | ||
| describe("frob", function() { | ||
| beforeEach(function() { result = mat3.frob(matA); }); | ||
| it("should return the Frobenius Norm of the matrix", function() { expect(result).toEqual( Math.sqrt(Math.pow(1, 2) + Math.pow(0, 2) + Math.pow(0, 2) + Math.pow(0, 2) + Math.pow(1, 2) + Math.pow(0, 2) + Math.pow(1, 2) + Math.pow(2, 2) + Math.pow(1, 2))); }); | ||
| }); | ||
| }); |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -531,2 +531,12 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| describe("with nonzero near, 45deg fovy, and realistic aspect ratio", function() { | ||
| beforeEach(function() { result = mat4.perspective(out, 45 * Math.PI / 180.0, 640/480, 0.1, 200); }); | ||
| it("should calculate correct matrix", function() { expect(result).toBeEqualish([ | ||
| 1.81066, 0, 0, 0, | ||
| 0, 2.414213, 0, 0, | ||
| 0, 0, -1.001, -1, | ||
| 0, 0, -0.2001, 0 | ||
| ]); }); | ||
| }); | ||
| }); | ||
@@ -547,7 +557,60 @@ | ||
| describe("lookAt", function() { | ||
| var eye = [0, 0, 1]; | ||
| var eye = [0, 0, 1]; | ||
| var center = [0, 0, -1]; | ||
| var up = [0, 1, 0]; | ||
| var up = [0, 1, 0]; | ||
| var view, up, right; | ||
| beforeEach(function() { result = mat4.lookAt(out, eye, center, up); }); | ||
| describe("looking down", function() { | ||
| beforeEach(function() { | ||
| view = [0, -1, 0]; | ||
| up = [0, 0, -1]; | ||
| right= [1, 0, 0]; | ||
| result = mat4.lookAt(out, [0, 0, 0], view, up); | ||
| }); | ||
| it("should transform view into local -Z", function() { | ||
| result = vec3.transformMat4([], view, out); | ||
| expect(result).toBeEqualish([0, 0, -1]); | ||
| }); | ||
| it("should transform up into local +Y", function() { | ||
| result = vec3.transformMat4([], up, out); | ||
| expect(result).toBeEqualish([0, 1, 0]); | ||
| }); | ||
| it("should transform right into local +X", function() { | ||
| result = vec3.transformMat4([], right, out); | ||
| expect(result).toBeEqualish([1, 0, 0]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| describe("#74", function() { | ||
| beforeEach(function() { | ||
| mat4.lookAt(out, [0,2,0], [0,0.6,0], [0,0,-1]); | ||
| }); | ||
| it("should transform a point 'above' into local +Y", function() { | ||
| result = vec3.transformMat4([], [0, 2, -1], out); | ||
| expect(result).toBeEqualish([0, 1, 0]); | ||
| }); | ||
| it("should transform a point 'right of' into local +X", function() { | ||
| result = vec3.transformMat4([], [1, 2, 0], out); | ||
| expect(result).toBeEqualish([1, 0, 0]); | ||
| }); | ||
| it("should transform a point 'in front of' into local -Z", function() { | ||
| result = vec3.transformMat4([], [0, 1, 0], out); | ||
| expect(result).toBeEqualish([0, 0, -1]); | ||
| }); | ||
| }); | ||
| beforeEach(function() { | ||
| eye = [0, 0, 1]; | ||
| center = [0, 0, -1]; | ||
| up = [0, 1, 0]; | ||
| result = mat4.lookAt(out, eye, center, up); | ||
| }); | ||
| it("should place values into out", function() { expect(result).toBeEqualish([ | ||
@@ -568,2 +631,9 @@ 1, 0, 0, 0, | ||
| }); | ||
| }); | ||
| describe("frob", function() { | ||
| beforeEach(function() { result = mat4.frob(matA); }); | ||
| it("should return the Frobenius Norm of the matrix", function() { expect(result).toEqual( Math.sqrt(Math.pow(1, 2) + Math.pow(1, 2) + Math.pow(1, 2) + Math.pow(1, 2) + Math.pow(1, 2) + Math.pow(2, 2) + Math.pow(3, 2) )); }); | ||
| }); | ||
| }); |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -25,5 +25,291 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| var out, quatA, quatB, result; | ||
| var vec, id, deg90; | ||
| beforeEach(function() { quatA = [1, 2, 3, 4]; quatB = [5, 6, 7, 8]; out = [0, 0, 0, 0]; }); | ||
| beforeEach(function() { | ||
| quatA = [1, 2, 3, 4]; | ||
| quatB = [5, 6, 7, 8]; | ||
| out = [0, 0, 0, 0]; | ||
| vec = [1, 1, -1]; | ||
| id = [0, 0, 0, 1]; | ||
| deg90 = Math.PI / 2; | ||
| }); | ||
| describe("slerp", function() { | ||
| describe("the normal case", function() { | ||
| beforeEach(function() { | ||
| result = quat.slerp(out, [0, 0, 0, 1], [0, 1, 0, 0], 0.5); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should calculate proper quat", function() { | ||
| expect(result).toBeEqualish([0, 0.707106, 0, 0.707106]); | ||
| }); | ||
| }); | ||
| describe("where a == b", function() { | ||
| beforeEach(function() { | ||
| result = quat.slerp(out, [0, 0, 0, 1], [0, 0, 0, 1], 0.5); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should calculate proper quat", function() { | ||
| expect(result).toBeEqualish([0, 0, 0, 1]); | ||
| }); | ||
| }); | ||
| describe("where theta == 180deg", function() { | ||
| beforeEach(function() { | ||
| quat.rotateX(quatA, [1,0,0,0], Math.PI); // 180 deg | ||
| result = quat.slerp(out, [1,0,0,0], quatA, 1); | ||
| }); | ||
| it("should calculate proper quat", function() { | ||
| expect(result).toBeEqualish([0,0,0,-1]); | ||
| }); | ||
| }); | ||
| describe("where a == -b", function() { | ||
| beforeEach(function() { | ||
| result = quat.slerp(out, [1, 0, 0, 0], [-1, 0, 0, 0], 0.5); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should calculate proper quat", function() { | ||
| expect(result).toBeEqualish([1, 0, 0, 0]); | ||
| }); | ||
| }); | ||
| }); | ||
| describe("rotateX", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotateX(out, id, deg90); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should transform vec accordingly", function() { | ||
| vec3.transformQuat(vec, [0,0,-1], out); | ||
| expect(vec).toBeEqualish([0, 1, 0]); | ||
| }); | ||
| }); | ||
| describe("rotateY", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotateY(out, id, deg90); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should transform vec accordingly", function() { | ||
| vec3.transformQuat(vec, [0,0,-1], out); | ||
| expect(vec).toBeEqualish([-1, 0, 0]); | ||
| }); | ||
| }); | ||
| describe("rotateZ", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotateZ(out, id, deg90); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should transform vec accordingly", function() { | ||
| vec3.transformQuat(vec, [0,1,0], out); | ||
| expect(vec).toBeEqualish([-1, 0, 0]); | ||
| }); | ||
| }); | ||
| describe("fromMat3", function() { | ||
| var matr; | ||
| describe("legacy", function() { | ||
| beforeEach(function() { | ||
| matr = [ 1, 0, 0, | ||
| 0, 0, -1, | ||
| 0, 1, 0 ]; | ||
| result = quat.fromMat3(out, matr); | ||
| }); | ||
| it("should set dest to the correct value", function() { | ||
| expect(result).toBeEqualish([0.707106, 0, 0, 0.707106]); | ||
| }); | ||
| }); | ||
| describe("where trace > 0", function() { | ||
| beforeEach(function() { | ||
| matr = [ 1, 0, 0, | ||
| 0, 0, -1, | ||
| 0, 1, 0 ]; | ||
| result = quat.fromMat3(out, matr); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should produce the correct transformation", function() { | ||
| expect(vec3.transformQuat([], [0,1,0], out)).toBeEqualish([0,0,1]); | ||
| }); | ||
| }); | ||
| describe("from a normal matrix looking 'backward'", function() { | ||
| beforeEach(function() { | ||
| matr = mat3.create(); | ||
| mat3.transpose(matr, mat3.invert(matr, mat3.fromMat4(matr, mat4.lookAt(mat4.create(), [0, 0, 0], [0, 0, 1], [0, 1, 0])))); | ||
| result = quat.fromMat3(out, matr); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should produce the same transformation as the given matrix", function() { | ||
| expect(vec3.transformQuat([], [3,2,-1], quat.normalize(out, out))).toBeEqualish(vec3.transformMat3([], [3,2,-1], matr)); | ||
| }); | ||
| }); | ||
| describe("from a normal matrix looking 'left' and 'upside down'", function() { | ||
| beforeEach(function() { | ||
| matr = mat3.create(); | ||
| mat3.transpose(matr, mat3.invert(matr, mat3.fromMat4(matr, mat4.lookAt(mat4.create(), [0, 0, 0], [-1, 0, 0], [0, -1, 0])))); | ||
| result = quat.fromMat3(out, matr); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should produce the same transformation as the given matrix", function() { | ||
| expect(vec3.transformQuat([], [3,2,-1], quat.normalize(out, out))).toBeEqualish(vec3.transformMat3([], [3,2,-1], matr)); | ||
| }); | ||
| }); | ||
| describe("from a normal matrix looking 'upside down'", function() { | ||
| beforeEach(function() { | ||
| matr = mat3.create(); | ||
| mat3.transpose(matr, mat3.invert(matr, mat3.fromMat4(matr, mat4.lookAt(mat4.create(), [0, 0, 0], [0, 0, -1], [0, -1, 0])))); | ||
| result = quat.fromMat3(out, matr); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should produce the same transformation as the given matrix", function() { | ||
| expect(vec3.transformQuat([], [3,2,-1], quat.normalize(out, out))).toBeEqualish(vec3.transformMat3([], [3,2,-1], matr)); | ||
| }); | ||
| }); | ||
| }); | ||
| describe("setAxes", function() { | ||
| var r; | ||
| beforeEach(function() { r = vec3.create(); }); | ||
| describe("looking left", function() { | ||
| var view, up, right; | ||
| beforeEach(function() { | ||
| view = [-1, 0, 0]; | ||
| up = [ 0, 1, 0]; | ||
| right= [ 0, 0,-1]; | ||
| result = quat.setAxes([], view, right, up); | ||
| }); | ||
| it("should transform local view into world left", function() { | ||
| r = vec3.transformQuat([], [0,0,-1], result); | ||
| expect(r).toBeEqualish([-1, 0, 0]); | ||
| }); | ||
| it("should transform local right into world front", function() { | ||
| r = vec3.transformQuat([], [1,0,0], result); | ||
| expect(r).toBeEqualish([0, 0, -1]); | ||
| }); | ||
| }); | ||
| describe("given opengl defaults", function() { | ||
| var view, up, right; | ||
| beforeEach(function() { | ||
| view = [0, 0, -1]; | ||
| up = [0, 1, 0]; | ||
| right= [1, 0, 0]; | ||
| result = quat.setAxes(out, view, right, up); | ||
| }); | ||
| it("should return out", function() { | ||
| expect(result).toBe(out); | ||
| }); | ||
| it("should produce identity", function() { | ||
| expect(out).toBeEqualish([0, 0, 0, 1]); | ||
| }); | ||
| }); | ||
| describe("legacy example", function() { | ||
| var view, up, right; | ||
| beforeEach(function() { | ||
| right= [1, 0, 0]; | ||
| up = [0, 0, 1]; | ||
| view = [0, -1, 0]; | ||
| result = quat.setAxes(out, view, right, up); | ||
| }); | ||
| xit("should set correct quat4 values", function() { | ||
| expect(result).toBeEqualish([0.707106, 0, 0, 0.707106]); | ||
| }); | ||
| }); | ||
| }); | ||
| describe("rotationTo", function() { | ||
| var r; | ||
| beforeEach(function() { r = vec3.create(); }); | ||
| describe("at right angle", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotationTo(out, [0, 1, 0], [1, 0, 0]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should calculate proper quaternion", function() { | ||
| expect(out).toBeEqualish([0, 0, -0.707106, 0.707106]); | ||
| }); | ||
| }); | ||
| describe("when vectors are parallel", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotationTo(out, [0, 1, 0], [0, 1, 0]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("multiplying A should produce B", function() { | ||
| expect(vec3.transformQuat(r, [0, 1, 0], out)).toBeEqualish([0, 1, 0]); | ||
| }); | ||
| }); | ||
| describe("when vectors are opposed X", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotationTo(out, [1, 0, 0], [-1, 0, 0]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("multiplying A should produce B", function() { | ||
| expect(vec3.transformQuat(r, [1, 0, 0], out)).toBeEqualish([-1, 0, 0]); | ||
| }); | ||
| }); | ||
| describe("when vectors are opposed Y", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotationTo(out, [0, 1, 0], [0, -1, 0]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("multiplying A should produce B", function() { | ||
| expect(vec3.transformQuat(r, [0, 1, 0], out)).toBeEqualish([0, -1, 0]); | ||
| }); | ||
| }); | ||
| describe("when vectors are opposed Z", function() { | ||
| beforeEach(function() { | ||
| result = quat.rotationTo(out, [0, 0, 1], [0, 0, -1]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("multiplying A should produce B", function() { | ||
| expect(vec3.transformQuat(r, [0, 0, 1], out)).toBeEqualish([0, 0, -1]); | ||
| }); | ||
| }); | ||
| }); | ||
| describe("create", function() { | ||
@@ -30,0 +316,0 @@ beforeEach(function() { result = quat.create(); }); |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -244,2 +244,29 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| describe("scaleAndAdd", function() { | ||
| describe("with a separate output vector", function() { | ||
| beforeEach(function() { result = vec2.scaleAndAdd(out, vecA, vecB, 0.5); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([2.5, 4]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2]); }); | ||
| it("should not modify vecB", function() { expect(vecB).toBeEqualish([3, 4]); }); | ||
| }); | ||
| describe("when vecA is the output vector", function() { | ||
| beforeEach(function() { result = vec2.scaleAndAdd(vecA, vecA, vecB, 0.5); }); | ||
| it("should place values into vecA", function() { expect(vecA).toBeEqualish([2.5, 4]); }); | ||
| it("should return vecA", function() { expect(result).toBe(vecA); }); | ||
| it("should not modify vecB", function() { expect(vecB).toBeEqualish([3, 4]); }); | ||
| }); | ||
| describe("when vecB is the output vector", function() { | ||
| beforeEach(function() { result = vec2.scaleAndAdd(vecB, vecA, vecB, 0.5); }); | ||
| it("should place values into vecB", function() { expect(vecB).toBeEqualish([2.5, 4]); }); | ||
| it("should return vecB", function() { expect(result).toBe(vecB); }); | ||
| it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2]); }); | ||
| }); | ||
| }); | ||
| describe("distance", function() { | ||
@@ -362,2 +389,18 @@ it("should have an alias called 'dist'", function() { expect(vec2.dist).toEqual(vec2.distance); }); | ||
| describe("random", function() { | ||
| describe("with no scale", function() { | ||
| beforeEach(function() { result = vec2.random(out); }); | ||
| it("should result in a unit length vector", function() { expect(vec2.length(out)).toBeCloseTo(1.0); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| describe("with a scale", function() { | ||
| beforeEach(function() { result = vec2.random(out, 5.0); }); | ||
| it("should result in a unit length vector", function() { expect(vec2.length(out)).toBeCloseTo(5.0); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| }); | ||
| describe("transformMat2", function() { | ||
@@ -370,3 +413,3 @@ var matA; | ||
| it("should place values into out", function() { expect(out).toBeEqualish([5, 11]); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([7, 10]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
@@ -380,3 +423,3 @@ it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2]); }); | ||
| it("should place values into vecA", function() { expect(vecA).toBeEqualish([5, 11]); }); | ||
| it("should place values into vecA", function() { expect(vecA).toBeEqualish([7, 10]); }); | ||
| it("should return vecA", function() { expect(result).toBe(vecA); }); | ||
@@ -387,2 +430,24 @@ it("should not modify matA", function() { expect(matA).toBeEqualish([1, 2, 3, 4]); }); | ||
| describe("transformMat2d", function() { | ||
| var matA; | ||
| beforeEach(function() { matA = [1, 2, 3, 4, 5, 6]; }); | ||
| describe("with a separate output vector", function() { | ||
| beforeEach(function() { result = vec2.transformMat2d(out, vecA, matA); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([12, 16]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2]); }); | ||
| it("should not modify matA", function() { expect(matA).toBeEqualish([1, 2, 3, 4, 5, 6]); }); | ||
| }); | ||
| describe("when vecA is the output vector", function() { | ||
| beforeEach(function() { result = vec2.transformMat2d(vecA, vecA, matA); }); | ||
| it("should place values into vecA", function() { expect(vecA).toBeEqualish([12, 16]); }); | ||
| it("should return vecA", function() { expect(result).toBe(vecA); }); | ||
| it("should not modify matA", function() { expect(matA).toBeEqualish([1, 2, 3, 4, 5, 6]); }); | ||
| }); | ||
| }); | ||
| describe("forEach", function() { | ||
@@ -389,0 +454,0 @@ var vecArray; |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -27,3 +27,124 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| beforeEach(function() { vecA = [1, 2, 3]; vecB = [4, 5, 6]; out = [0, 0, 0]; }); | ||
| describe('rotateX', function(){ | ||
| describe('rotation around world origin [0, 0, 0]', function(){ | ||
| beforeEach(function(){ vecA = [0, 1, 0]; vecB = [0, 0, 0]; result = vec3.rotateX(out, vecA, vecB, Math.PI); }); | ||
| it("should return the rotated vector", function(){ expect(result).toBeEqualish([0, -1, 0]); }); | ||
| }); | ||
| describe('rotation around an arbitrary origin', function(){ | ||
| beforeEach(function(){ vecA = [2, 7, 0]; vecB = [2, 5, 0]; result = vec3.rotateX(out, vecA, vecB, Math.PI); }); | ||
| it("should return the rotated vector", function(){ expect(result).toBeEqualish([2, 3, 0]); }); | ||
| }); | ||
| }); | ||
| describe('rotateY', function(){ | ||
| describe('rotation around world origin [0, 0, 0]', function(){ | ||
| beforeEach(function(){ vecA = [1, 0, 0]; vecB = [0, 0, 0]; result = vec3.rotateY(out, vecA, vecB, Math.PI); }); | ||
| it("should return the rotated vector", function(){ expect(result).toBeEqualish([-1, 0, 0]); }); | ||
| }); | ||
| describe('rotation around an arbitrary origin', function(){ | ||
| beforeEach(function(){ vecA = [-2, 3, 10]; vecB = [-4, 3, 10]; result = vec3.rotateY(out, vecA, vecB, Math.PI); }); | ||
| it("should return the rotated vector", function(){ expect(result).toBeEqualish([-6, 3, 10]); }); | ||
| }); | ||
| }); | ||
| describe('rotateZ', function(){ | ||
| describe('rotation around world origin [0, 0, 0]', function(){ | ||
| beforeEach(function(){ vecA = [0, 1, 0]; vecB = [0, 0, 0]; result = vec3.rotateZ(out, vecA, vecB, Math.PI); }); | ||
| it("should return the rotated vector", function(){ expect(result).toBeEqualish([0, -1, 0]); }); | ||
| }); | ||
| describe('rotation around an arbitrary origin', function(){ | ||
| beforeEach(function(){ vecA = [0, 6, -5]; vecB = [0, 0, -5]; result = vec3.rotateZ(out, vecA, vecB, Math.PI); }); | ||
| it("should return the rotated vector", function(){ expect(result).toBeEqualish([0, -6, -5]); }); | ||
| }); | ||
| }); | ||
| describe('transformMat4', function() { | ||
| var matr; | ||
| describe("with an identity", function() { | ||
| beforeEach(function() { matr = [1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] }); | ||
| beforeEach(function() { result = vec3.transformMat4(out, vecA, matr); }); | ||
| it("should produce the input", function() { | ||
| expect(out).toBeEqualish([1, 2, 3]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| describe("with a lookAt", function() { | ||
| beforeEach(function() { matr = mat4.lookAt(mat4.create(), [5, 6, 7], [2, 6, 7], [0, 1, 0]); }); | ||
| beforeEach(function() { result = vec3.transformMat4(out, vecA, matr); }); | ||
| it("should rotate and translate the input", function() { | ||
| expect(out).toBeEqualish([ 4, -4, -4 ]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| }); | ||
| describe('transformMat3', function() { | ||
| var matr; | ||
| describe("with an identity", function() { | ||
| beforeEach(function() { matr = [1, 0, 0, 0, 1, 0, 0, 0, 1 ] }); | ||
| beforeEach(function() { result = vec3.transformMat3(out, vecA, matr); }); | ||
| it("should produce the input", function() { | ||
| expect(out).toBeEqualish([1, 2, 3]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| describe("with 90deg about X", function() { | ||
| beforeEach(function() { | ||
| result = vec3.transformMat3(out, [0,1,0], [1,0,0,0,0,1,0,-1,0]); | ||
| }); | ||
| it("should produce correct output", function() { | ||
| expect(out).toBeEqualish([0,0,1]); | ||
| }); | ||
| }); | ||
| describe("with 90deg about Y", function() { | ||
| beforeEach(function() { | ||
| result = vec3.transformMat3(out, [1,0,0], [0,0,-1,0,1,0,1,0,0]); | ||
| }); | ||
| it("should produce correct output", function() { | ||
| expect(out).toBeEqualish([0,0,-1]); | ||
| }); | ||
| }); | ||
| describe("with 90deg about Z", function() { | ||
| beforeEach(function() { | ||
| result = vec3.transformMat3(out, [1,0,0], [0,1,0,-1,0,0,0,0,1]); | ||
| }); | ||
| it("should produce correct output", function() { | ||
| expect(out).toBeEqualish([0,1,0]); | ||
| }); | ||
| }); | ||
| describe("with a lookAt normal matrix", function() { | ||
| beforeEach(function() { | ||
| matr = mat4.lookAt(mat4.create(), [5, 6, 7], [2, 6, 7], [0, 1, 0]); | ||
| var n = mat3.create(); | ||
| matr = mat3.transpose(n, mat3.invert(n, mat3.fromMat4(n, matr))); | ||
| }); | ||
| beforeEach(function() { result = vec3.transformMat3(out, [1,0,0], matr); }); | ||
| it("should rotate the input", function() { | ||
| expect(out).toBeEqualish([ 0,0,1 ]); | ||
| }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| }); | ||
| describe("create", function() { | ||
@@ -245,2 +366,29 @@ beforeEach(function() { result = vec3.create(); }); | ||
| describe("scaleAndAdd", function() { | ||
| describe("with a separate output vector", function() { | ||
| beforeEach(function() { result = vec3.scaleAndAdd(out, vecA, vecB, 0.5); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([3, 4.5, 6]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2, 3]); }); | ||
| it("should not modify vecB", function() { expect(vecB).toBeEqualish([4, 5, 6]); }); | ||
| }); | ||
| describe("when vecA is the output vector", function() { | ||
| beforeEach(function() { result = vec3.scaleAndAdd(vecA, vecA, vecB, 0.5); }); | ||
| it("should place values into vecA", function() { expect(vecA).toBeEqualish([3, 4.5, 6]); }); | ||
| it("should return vecA", function() { expect(result).toBe(vecA); }); | ||
| it("should not modify vecB", function() { expect(vecB).toBeEqualish([4, 5, 6]); }); | ||
| }); | ||
| describe("when vecB is the output vector", function() { | ||
| beforeEach(function() { result = vec3.scaleAndAdd(vecB, vecA, vecB, 0.5); }); | ||
| it("should place values into vecB", function() { expect(vecB).toBeEqualish([3, 4.5, 6]); }); | ||
| it("should return vecB", function() { expect(result).toBe(vecB); }); | ||
| it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2, 3]); }); | ||
| }); | ||
| }); | ||
| describe("distance", function() { | ||
@@ -376,2 +524,18 @@ it("should have an alias called 'dist'", function() { expect(vec3.dist).toEqual(vec3.distance); }); | ||
| describe("random", function() { | ||
| describe("with no scale", function() { | ||
| beforeEach(function() { result = vec3.random(out); }); | ||
| it("should result in a unit length vector", function() { expect(vec3.length(out)).toBeCloseTo(1.0); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| describe("with a scale", function() { | ||
| beforeEach(function() { result = vec3.random(out, 5.0); }); | ||
| it("should result in a unit length vector", function() { expect(vec3.length(out)).toBeCloseTo(5.0); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| }); | ||
| describe("forEach", function() { | ||
@@ -378,0 +542,0 @@ var vecArray; |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -244,2 +244,29 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| describe("scaleAndAdd", function() { | ||
| describe("with a separate output vector", function() { | ||
| beforeEach(function() { result = vec4.scaleAndAdd(out, vecA, vecB, 0.5); }); | ||
| it("should place values into out", function() { expect(out).toBeEqualish([3.5, 5, 6.5, 8]); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2, 3, 4]); }); | ||
| it("should not modify vecB", function() { expect(vecB).toBeEqualish([5, 6, 7, 8]); }); | ||
| }); | ||
| describe("when vecA is the output vector", function() { | ||
| beforeEach(function() { result = vec4.scaleAndAdd(vecA, vecA, vecB, 0.5); }); | ||
| it("should place values into vecA", function() { expect(vecA).toBeEqualish([3.5, 5, 6.5, 8]); }); | ||
| it("should return vecA", function() { expect(result).toBe(vecA); }); | ||
| it("should not modify vecB", function() { expect(vecB).toBeEqualish([5, 6, 7, 8]); }); | ||
| }); | ||
| describe("when vecB is the output vector", function() { | ||
| beforeEach(function() { result = vec4.scaleAndAdd(vecB, vecA, vecB, 0.5); }); | ||
| it("should place values into vecB", function() { expect(vecB).toBeEqualish([3.5, 5, 6.5, 8]); }); | ||
| it("should return vecB", function() { expect(result).toBe(vecB); }); | ||
| it("should not modify vecA", function() { expect(vecA).toBeEqualish([1, 2, 3, 4]); }); | ||
| }); | ||
| }); | ||
| describe("distance", function() { | ||
@@ -348,2 +375,18 @@ it("should have an alias called 'dist'", function() { expect(vec4.dist).toEqual(vec4.distance); }); | ||
| describe("random", function() { | ||
| describe("with no scale", function() { | ||
| beforeEach(function() { result = vec4.random(out); }); | ||
| it("should result in a unit length vector", function() { expect(vec4.length(out)).toBeCloseTo(1.0); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| describe("with a scale", function() { | ||
| beforeEach(function() { result = vec4.random(out, 5.0); }); | ||
| it("should result in a unit length vector", function() { expect(vec4.length(out)).toBeCloseTo(5.0); }); | ||
| it("should return out", function() { expect(result).toBe(out); }); | ||
| }); | ||
| }); | ||
| describe("forEach", function() { | ||
@@ -350,0 +393,0 @@ var vecArray; |
| if (typeof(exports) !== 'undefined') { | ||
| var glm = require("../../dist/gl-matrix"); | ||
| var glm; | ||
| try { | ||
| glm = require("../../tmp/coverage/manifest"); | ||
| } catch(e) { | ||
| if (e.code === "MODULE_NOT_FOUND" || | ||
| e.toString().indexOf("Cannot find module") !== -1) | ||
| glm = require("../../dist/gl-matrix"); | ||
| else throw e; | ||
| } | ||
| for (var ns in glm) { | ||
@@ -4,0 +12,0 @@ global[ns] = glm[ns]; |
@@ -0,1 +1,3 @@ | ||
| //= require 'gl-matrix/common.js' | ||
| //= require 'gl-matrix/vec2.js' | ||
@@ -6,2 +8,3 @@ //= require 'gl-matrix/vec3.js' | ||
| //= require 'gl-matrix/mat2.js' | ||
| //= require 'gl-matrix/mat2d.js' | ||
| //= require 'gl-matrix/mat3.js' | ||
@@ -8,0 +11,0 @@ //= require 'gl-matrix/mat4.js' |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -29,11 +29,2 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| var mat2Identity = new Float32Array([ | ||
| 1, 0, | ||
| 0, 1 | ||
| ]); | ||
| if(!GLMAT_EPSILON) { | ||
| var GLMAT_EPSILON = 0.000001; | ||
| } | ||
| /** | ||
@@ -45,3 +36,8 @@ * Creates a new identity mat2 | ||
| mat2.create = function() { | ||
| return new Float32Array(mat2Identity); | ||
| var out = new GLMAT_ARRAY_TYPE(4); | ||
| out[0] = 1; | ||
| out[1] = 0; | ||
| out[2] = 0; | ||
| out[3] = 1; | ||
| return out; | ||
| }; | ||
@@ -56,3 +52,3 @@ | ||
| mat2.clone = function(a) { | ||
| var out = new Float32Array(4); | ||
| var out = new GLMAT_ARRAY_TYPE(4); | ||
| out[0] = a[0]; | ||
@@ -144,3 +140,3 @@ out[1] = a[1]; | ||
| /** | ||
| * Caclulates the adjugate of a mat2 | ||
| * Calculates the adjugate of a mat2 | ||
| * | ||
@@ -183,6 +179,6 @@ * @param {mat2} out the receiving matrix | ||
| var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3]; | ||
| out[0] = a0 * b0 + a1 * b2; | ||
| out[1] = a0 * b1 + a1 * b3; | ||
| out[2] = a2 * b0 + a3 * b2; | ||
| out[3] = a2 * b1 + a3 * b3; | ||
| out[0] = a0 * b0 + a2 * b1; | ||
| out[1] = a1 * b0 + a3 * b1; | ||
| out[2] = a0 * b2 + a2 * b3; | ||
| out[3] = a1 * b2 + a3 * b3; | ||
| return out; | ||
@@ -202,3 +198,3 @@ }; | ||
| * @param {mat2} a the matrix to rotate | ||
| * @param {mat2} rad the angle to rotate the matrix by | ||
| * @param {Number} rad the angle to rotate the matrix by | ||
| * @returns {mat2} out | ||
@@ -210,6 +206,6 @@ */ | ||
| c = Math.cos(rad); | ||
| out[0] = a0 * c + a1 * s; | ||
| out[1] = a0 * -s + a1 * c; | ||
| out[2] = a2 * c + a3 * s; | ||
| out[3] = a2 * -s + a3 * c; | ||
| out[0] = a0 * c + a2 * s; | ||
| out[1] = a1 * c + a3 * s; | ||
| out[2] = a0 * -s + a2 * c; | ||
| out[3] = a1 * -s + a3 * c; | ||
| return out; | ||
@@ -223,3 +219,3 @@ }; | ||
| * @param {mat2} a the matrix to rotate | ||
| * @param {mat2} v the vec2 to scale the matrix by | ||
| * @param {vec2} v the vec2 to scale the matrix by | ||
| * @returns {mat2} out | ||
@@ -231,4 +227,4 @@ **/ | ||
| out[0] = a0 * v0; | ||
| out[1] = a1 * v1; | ||
| out[2] = a2 * v0; | ||
| out[1] = a1 * v0; | ||
| out[2] = a2 * v1; | ||
| out[3] = a3 * v1; | ||
@@ -248,4 +244,30 @@ return out; | ||
| /** | ||
| * Returns Frobenius norm of a mat2 | ||
| * | ||
| * @param {mat2} a the matrix to calculate Frobenius norm of | ||
| * @returns {Number} Frobenius norm | ||
| */ | ||
| mat2.frob = function (a) { | ||
| return(Math.sqrt(Math.pow(a[0], 2) + Math.pow(a[1], 2) + Math.pow(a[2], 2) + Math.pow(a[3], 2))) | ||
| }; | ||
| /** | ||
| * Returns L, D and U matrices (Lower triangular, Diagonal and Upper triangular) by factorizing the input matrix | ||
| * @param {mat2} L the lower triangular matrix | ||
| * @param {mat2} D the diagonal matrix | ||
| * @param {mat2} U the upper triangular matrix | ||
| * @param {mat2} a the input matrix to factorize | ||
| */ | ||
| mat2.LDU = function (L, D, U, a) { | ||
| L[2] = a[2]/a[0]; | ||
| U[0] = a[0]; | ||
| U[1] = a[1]; | ||
| U[3] = a[3] - L[2] * U[1]; | ||
| return [L, D, U]; | ||
| }; | ||
| if(typeof(exports) !== 'undefined') { | ||
| exports.mat2 = mat2; | ||
| } |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -29,12 +29,2 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| var mat3Identity = new Float32Array([ | ||
| 1, 0, 0, | ||
| 0, 1, 0, | ||
| 0, 0, 1 | ||
| ]); | ||
| if(!GLMAT_EPSILON) { | ||
| var GLMAT_EPSILON = 0.000001; | ||
| } | ||
| /** | ||
@@ -46,6 +36,36 @@ * Creates a new identity mat3 | ||
| mat3.create = function() { | ||
| return new Float32Array(mat3Identity); | ||
| var out = new GLMAT_ARRAY_TYPE(9); | ||
| out[0] = 1; | ||
| out[1] = 0; | ||
| out[2] = 0; | ||
| out[3] = 0; | ||
| out[4] = 1; | ||
| out[5] = 0; | ||
| out[6] = 0; | ||
| out[7] = 0; | ||
| out[8] = 1; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Copies the upper-left 3x3 values into the given mat3. | ||
| * | ||
| * @param {mat3} out the receiving 3x3 matrix | ||
| * @param {mat4} a the source 4x4 matrix | ||
| * @returns {mat3} out | ||
| */ | ||
| mat3.fromMat4 = function(out, a) { | ||
| out[0] = a[0]; | ||
| out[1] = a[1]; | ||
| out[2] = a[2]; | ||
| out[3] = a[4]; | ||
| out[4] = a[5]; | ||
| out[5] = a[6]; | ||
| out[6] = a[8]; | ||
| out[7] = a[9]; | ||
| out[8] = a[10]; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Creates a new mat3 initialized with values from an existing matrix | ||
@@ -57,3 +77,3 @@ * | ||
| mat3.clone = function(a) { | ||
| var out = new Float32Array(9); | ||
| var out = new GLMAT_ARRAY_TYPE(9); | ||
| out[0] = a[0]; | ||
@@ -179,3 +199,3 @@ out[1] = a[1]; | ||
| /** | ||
| * Caclulates the adjugate of a mat3 | ||
| * Calculates the adjugate of a mat3 | ||
| * | ||
@@ -255,2 +275,196 @@ * @param {mat3} out the receiving matrix | ||
| /** | ||
| * Translate a mat3 by the given vector | ||
| * | ||
| * @param {mat3} out the receiving matrix | ||
| * @param {mat3} a the matrix to translate | ||
| * @param {vec2} v vector to translate by | ||
| * @returns {mat3} out | ||
| */ | ||
| mat3.translate = function(out, a, v) { | ||
| var a00 = a[0], a01 = a[1], a02 = a[2], | ||
| a10 = a[3], a11 = a[4], a12 = a[5], | ||
| a20 = a[6], a21 = a[7], a22 = a[8], | ||
| x = v[0], y = v[1]; | ||
| out[0] = a00; | ||
| out[1] = a01; | ||
| out[2] = a02; | ||
| out[3] = a10; | ||
| out[4] = a11; | ||
| out[5] = a12; | ||
| out[6] = x * a00 + y * a10 + a20; | ||
| out[7] = x * a01 + y * a11 + a21; | ||
| out[8] = x * a02 + y * a12 + a22; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Rotates a mat3 by the given angle | ||
| * | ||
| * @param {mat3} out the receiving matrix | ||
| * @param {mat3} a the matrix to rotate | ||
| * @param {Number} rad the angle to rotate the matrix by | ||
| * @returns {mat3} out | ||
| */ | ||
| mat3.rotate = function (out, a, rad) { | ||
| var a00 = a[0], a01 = a[1], a02 = a[2], | ||
| a10 = a[3], a11 = a[4], a12 = a[5], | ||
| a20 = a[6], a21 = a[7], a22 = a[8], | ||
| s = Math.sin(rad), | ||
| c = Math.cos(rad); | ||
| out[0] = c * a00 + s * a10; | ||
| out[1] = c * a01 + s * a11; | ||
| out[2] = c * a02 + s * a12; | ||
| out[3] = c * a10 - s * a00; | ||
| out[4] = c * a11 - s * a01; | ||
| out[5] = c * a12 - s * a02; | ||
| out[6] = a20; | ||
| out[7] = a21; | ||
| out[8] = a22; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Scales the mat3 by the dimensions in the given vec2 | ||
| * | ||
| * @param {mat3} out the receiving matrix | ||
| * @param {mat3} a the matrix to rotate | ||
| * @param {vec2} v the vec2 to scale the matrix by | ||
| * @returns {mat3} out | ||
| **/ | ||
| mat3.scale = function(out, a, v) { | ||
| var x = v[0], y = v[1]; | ||
| out[0] = x * a[0]; | ||
| out[1] = x * a[1]; | ||
| out[2] = x * a[2]; | ||
| out[3] = y * a[3]; | ||
| out[4] = y * a[4]; | ||
| out[5] = y * a[5]; | ||
| out[6] = a[6]; | ||
| out[7] = a[7]; | ||
| out[8] = a[8]; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Copies the values from a mat2d into a mat3 | ||
| * | ||
| * @param {mat3} out the receiving matrix | ||
| * @param {mat2d} a the matrix to copy | ||
| * @returns {mat3} out | ||
| **/ | ||
| mat3.fromMat2d = function(out, a) { | ||
| out[0] = a[0]; | ||
| out[1] = a[1]; | ||
| out[2] = 0; | ||
| out[3] = a[2]; | ||
| out[4] = a[3]; | ||
| out[5] = 0; | ||
| out[6] = a[4]; | ||
| out[7] = a[5]; | ||
| out[8] = 1; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Calculates a 3x3 matrix from the given quaternion | ||
| * | ||
| * @param {mat3} out mat3 receiving operation result | ||
| * @param {quat} q Quaternion to create matrix from | ||
| * | ||
| * @returns {mat3} out | ||
| */ | ||
| mat3.fromQuat = function (out, q) { | ||
| var x = q[0], y = q[1], z = q[2], w = q[3], | ||
| x2 = x + x, | ||
| y2 = y + y, | ||
| z2 = z + z, | ||
| xx = x * x2, | ||
| yx = y * x2, | ||
| yy = y * y2, | ||
| zx = z * x2, | ||
| zy = z * y2, | ||
| zz = z * z2, | ||
| wx = w * x2, | ||
| wy = w * y2, | ||
| wz = w * z2; | ||
| out[0] = 1 - yy - zz; | ||
| out[3] = yx - wz; | ||
| out[6] = zx + wy; | ||
| out[1] = yx + wz; | ||
| out[4] = 1 - xx - zz; | ||
| out[7] = zy - wx; | ||
| out[2] = zx - wy; | ||
| out[5] = zy + wx; | ||
| out[8] = 1 - xx - yy; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix | ||
| * | ||
| * @param {mat3} out mat3 receiving operation result | ||
| * @param {mat4} a Mat4 to derive the normal matrix from | ||
| * | ||
| * @returns {mat3} out | ||
| */ | ||
| mat3.normalFromMat4 = function (out, a) { | ||
| var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3], | ||
| a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7], | ||
| a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11], | ||
| a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15], | ||
| b00 = a00 * a11 - a01 * a10, | ||
| b01 = a00 * a12 - a02 * a10, | ||
| b02 = a00 * a13 - a03 * a10, | ||
| b03 = a01 * a12 - a02 * a11, | ||
| b04 = a01 * a13 - a03 * a11, | ||
| b05 = a02 * a13 - a03 * a12, | ||
| b06 = a20 * a31 - a21 * a30, | ||
| b07 = a20 * a32 - a22 * a30, | ||
| b08 = a20 * a33 - a23 * a30, | ||
| b09 = a21 * a32 - a22 * a31, | ||
| b10 = a21 * a33 - a23 * a31, | ||
| b11 = a22 * a33 - a23 * a32, | ||
| // Calculate the determinant | ||
| det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; | ||
| if (!det) { | ||
| return null; | ||
| } | ||
| det = 1.0 / det; | ||
| out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; | ||
| out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det; | ||
| out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det; | ||
| out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det; | ||
| out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det; | ||
| out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det; | ||
| out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det; | ||
| out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det; | ||
| out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Returns a string representation of a mat3 | ||
@@ -267,4 +481,15 @@ * | ||
| /** | ||
| * Returns Frobenius norm of a mat3 | ||
| * | ||
| * @param {mat3} a the matrix to calculate Frobenius norm of | ||
| * @returns {Number} Frobenius norm | ||
| */ | ||
| mat3.frob = function (a) { | ||
| return(Math.sqrt(Math.pow(a[0], 2) + Math.pow(a[1], 2) + Math.pow(a[2], 2) + Math.pow(a[3], 2) + Math.pow(a[4], 2) + Math.pow(a[5], 2) + Math.pow(a[6], 2) + Math.pow(a[7], 2) + Math.pow(a[8], 2))) | ||
| }; | ||
| if(typeof(exports) !== 'undefined') { | ||
| exports.mat3 = mat3; | ||
| } |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -29,13 +29,2 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| var mat4Identity = new Float32Array([ | ||
| 1, 0, 0, 0, | ||
| 0, 1, 0, 0, | ||
| 0, 0, 1, 0, | ||
| 0, 0, 0, 1 | ||
| ]); | ||
| if(!GLMAT_EPSILON) { | ||
| var GLMAT_EPSILON = 0.000001; | ||
| } | ||
| /** | ||
@@ -47,3 +36,20 @@ * Creates a new identity mat4 | ||
| mat4.create = function() { | ||
| return new Float32Array(mat4Identity); | ||
| var out = new GLMAT_ARRAY_TYPE(16); | ||
| out[0] = 1; | ||
| out[1] = 0; | ||
| out[2] = 0; | ||
| out[3] = 0; | ||
| out[4] = 0; | ||
| out[5] = 1; | ||
| out[6] = 0; | ||
| out[7] = 0; | ||
| out[8] = 0; | ||
| out[9] = 0; | ||
| out[10] = 1; | ||
| out[11] = 0; | ||
| out[12] = 0; | ||
| out[13] = 0; | ||
| out[14] = 0; | ||
| out[15] = 1; | ||
| return out; | ||
| }; | ||
@@ -58,3 +64,3 @@ | ||
| mat4.clone = function(a) { | ||
| var out = new Float32Array(16); | ||
| var out = new GLMAT_ARRAY_TYPE(16); | ||
| out[0] = a[0]; | ||
@@ -235,3 +241,3 @@ out[1] = a[1]; | ||
| /** | ||
| * Caclulates the adjugate of a mat4 | ||
| * Calculates the adjugate of a mat4 | ||
| * | ||
@@ -654,2 +660,41 @@ * @param {mat4} out the receiving matrix | ||
| mat4.fromQuat = function (out, q) { | ||
| var x = q[0], y = q[1], z = q[2], w = q[3], | ||
| x2 = x + x, | ||
| y2 = y + y, | ||
| z2 = z + z, | ||
| xx = x * x2, | ||
| yx = y * x2, | ||
| yy = y * y2, | ||
| zx = z * x2, | ||
| zy = z * y2, | ||
| zz = z * z2, | ||
| wx = w * x2, | ||
| wy = w * y2, | ||
| wz = w * z2; | ||
| out[0] = 1 - yy - zz; | ||
| out[1] = yx + wz; | ||
| out[2] = zx - wy; | ||
| out[3] = 0; | ||
| out[4] = yx - wz; | ||
| out[5] = 1 - xx - zz; | ||
| out[6] = zy + wx; | ||
| out[7] = 0; | ||
| out[8] = zx + wy; | ||
| out[9] = zy - wx; | ||
| out[10] = 1 - xx - yy; | ||
| out[11] = 0; | ||
| out[12] = 0; | ||
| out[13] = 0; | ||
| out[14] = 0; | ||
| out[15] = 1; | ||
| return out; | ||
| }; | ||
| /** | ||
@@ -857,4 +902,15 @@ * Generates a frustum matrix with the given bounds | ||
| /** | ||
| * Returns Frobenius norm of a mat4 | ||
| * | ||
| * @param {mat4} a the matrix to calculate Frobenius norm of | ||
| * @returns {Number} Frobenius norm | ||
| */ | ||
| mat4.frob = function (a) { | ||
| return(Math.sqrt(Math.pow(a[0], 2) + Math.pow(a[1], 2) + Math.pow(a[2], 2) + Math.pow(a[3], 2) + Math.pow(a[4], 2) + Math.pow(a[5], 2) + Math.pow(a[6], 2) + Math.pow(a[6], 2) + Math.pow(a[7], 2) + Math.pow(a[8], 2) + Math.pow(a[9], 2) + Math.pow(a[10], 2) + Math.pow(a[11], 2) + Math.pow(a[12], 2) + Math.pow(a[13], 2) + Math.pow(a[14], 2) + Math.pow(a[15], 2) )) | ||
| }; | ||
| if(typeof(exports) !== 'undefined') { | ||
| exports.mat4 = mat4; | ||
| } |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -29,8 +29,2 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| var quatIdentity = new Float32Array([0, 0, 0, 1]); | ||
| if(!GLMAT_EPSILON) { | ||
| var GLMAT_EPSILON = 0.000001; | ||
| } | ||
| /** | ||
@@ -42,6 +36,83 @@ * Creates a new identity quat | ||
| quat.create = function() { | ||
| return new Float32Array(quatIdentity); | ||
| var out = new GLMAT_ARRAY_TYPE(4); | ||
| out[0] = 0; | ||
| out[1] = 0; | ||
| out[2] = 0; | ||
| out[3] = 1; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Sets a quaternion to represent the shortest rotation from one | ||
| * vector to another. | ||
| * | ||
| * Both vectors are assumed to be unit length. | ||
| * | ||
| * @param {quat} out the receiving quaternion. | ||
| * @param {vec3} a the initial vector | ||
| * @param {vec3} b the destination vector | ||
| * @returns {quat} out | ||
| */ | ||
| quat.rotationTo = (function() { | ||
| var tmpvec3 = vec3.create(); | ||
| var xUnitVec3 = vec3.fromValues(1,0,0); | ||
| var yUnitVec3 = vec3.fromValues(0,1,0); | ||
| return function(out, a, b) { | ||
| var dot = vec3.dot(a, b); | ||
| if (dot < -0.999999) { | ||
| vec3.cross(tmpvec3, xUnitVec3, a); | ||
| if (vec3.length(tmpvec3) < 0.000001) | ||
| vec3.cross(tmpvec3, yUnitVec3, a); | ||
| vec3.normalize(tmpvec3, tmpvec3); | ||
| quat.setAxisAngle(out, tmpvec3, Math.PI); | ||
| return out; | ||
| } else if (dot > 0.999999) { | ||
| out[0] = 0; | ||
| out[1] = 0; | ||
| out[2] = 0; | ||
| out[3] = 1; | ||
| return out; | ||
| } else { | ||
| vec3.cross(tmpvec3, a, b); | ||
| out[0] = tmpvec3[0]; | ||
| out[1] = tmpvec3[1]; | ||
| out[2] = tmpvec3[2]; | ||
| out[3] = 1 + dot; | ||
| return quat.normalize(out, out); | ||
| } | ||
| }; | ||
| })(); | ||
| /** | ||
| * Sets the specified quaternion with values corresponding to the given | ||
| * axes. Each axis is a vec3 and is expected to be unit length and | ||
| * perpendicular to all other specified axes. | ||
| * | ||
| * @param {vec3} view the vector representing the viewing direction | ||
| * @param {vec3} right the vector representing the local "right" direction | ||
| * @param {vec3} up the vector representing the local "up" direction | ||
| * @returns {quat} out | ||
| */ | ||
| quat.setAxes = (function() { | ||
| var matr = mat3.create(); | ||
| return function(out, view, right, up) { | ||
| matr[0] = right[0]; | ||
| matr[3] = right[1]; | ||
| matr[6] = right[2]; | ||
| matr[1] = up[0]; | ||
| matr[4] = up[1]; | ||
| matr[7] = up[2]; | ||
| matr[2] = -view[0]; | ||
| matr[5] = -view[1]; | ||
| matr[8] = -view[2]; | ||
| return quat.normalize(out, quat.fromMat3(out, matr)); | ||
| }; | ||
| })(); | ||
| /** | ||
| * Creates a new quat initialized with values from an existing quaternion | ||
@@ -164,3 +235,3 @@ * | ||
| * @param {quat} a the vector to scale | ||
| * @param {quat} b amount to scale the vector by | ||
| * @param {Number} b amount to scale the vector by | ||
| * @returns {quat} out | ||
@@ -172,3 +243,3 @@ * @function | ||
| /** | ||
| * Rotates a quaternion by the given angle around the X axis | ||
| * Rotates a quaternion by the given angle about the X axis | ||
| * | ||
@@ -194,3 +265,3 @@ * @param {quat} out quat receiving operation result | ||
| /** | ||
| * Rotates a quaternion by the given angle around the X axis | ||
| * Rotates a quaternion by the given angle about the Y axis | ||
| * | ||
@@ -216,3 +287,3 @@ * @param {quat} out quat receiving operation result | ||
| /** | ||
| * Rotates a quaternion by the given angle around the X axis | ||
| * Rotates a quaternion by the given angle about the Z axis | ||
| * | ||
@@ -257,3 +328,3 @@ * @param {quat} out quat receiving operation result | ||
| /** | ||
| * Caclulates the dot product of two quat's | ||
| * Calculates the dot product of two quat's | ||
| * | ||
@@ -289,40 +360,39 @@ * @param {quat} a the first operand | ||
| quat.slerp = function (out, a, b, t) { | ||
| // benchmarks: | ||
| // http://jsperf.com/quaternion-slerp-implementations | ||
| var ax = a[0], ay = a[1], az = a[2], aw = a[3], | ||
| bx = b[0], by = b[1], bz = b[2], bw = a[3]; | ||
| bx = b[0], by = b[1], bz = b[2], bw = b[3]; | ||
| var cosHalfTheta = ax * bx + ay * by + az * bz + aw * bw, | ||
| halfTheta, | ||
| sinHalfTheta, | ||
| ratioA, | ||
| ratioB; | ||
| var omega, cosom, sinom, scale0, scale1; | ||
| if (Math.abs(cosHalfTheta) >= 1.0) { | ||
| if (out !== a) { | ||
| out[0] = ax; | ||
| out[1] = ay; | ||
| out[2] = az; | ||
| out[3] = aw; | ||
| } | ||
| return out; | ||
| // calc cosine | ||
| cosom = ax * bx + ay * by + az * bz + aw * bw; | ||
| // adjust signs (if necessary) | ||
| if ( cosom < 0.0 ) { | ||
| cosom = -cosom; | ||
| bx = - bx; | ||
| by = - by; | ||
| bz = - bz; | ||
| bw = - bw; | ||
| } | ||
| halfTheta = Math.acos(cosHalfTheta); | ||
| sinHalfTheta = Math.sqrt(1.0 - cosHalfTheta * cosHalfTheta); | ||
| if (Math.abs(sinHalfTheta) < 0.001) { | ||
| out[0] = (ax * 0.5 + bx * 0.5); | ||
| out[1] = (ay * 0.5 + by * 0.5); | ||
| out[2] = (az * 0.5 + bz * 0.5); | ||
| out[3] = (aw * 0.5 + bw * 0.5); | ||
| return out; | ||
| // calculate coefficients | ||
| if ( (1.0 - cosom) > 0.000001 ) { | ||
| // standard case (slerp) | ||
| omega = Math.acos(cosom); | ||
| sinom = Math.sin(omega); | ||
| scale0 = Math.sin((1.0 - t) * omega) / sinom; | ||
| scale1 = Math.sin(t * omega) / sinom; | ||
| } else { | ||
| // "from" and "to" quaternions are very close | ||
| // ... so we can do a linear interpolation | ||
| scale0 = 1.0 - t; | ||
| scale1 = t; | ||
| } | ||
| ratioA = Math.sin((1 - t) * halfTheta) / sinHalfTheta; | ||
| ratioB = Math.sin(t * halfTheta) / sinHalfTheta; | ||
| out[0] = (ax * ratioA + bx * ratioB); | ||
| out[1] = (ay * ratioA + by * ratioB); | ||
| out[2] = (az * ratioA + bz * ratioB); | ||
| out[3] = (aw * ratioA + bw * ratioB); | ||
| // calculate final values | ||
| out[0] = scale0 * ax + scale1 * bx; | ||
| out[1] = scale0 * ay + scale1 * by; | ||
| out[2] = scale0 * az + scale1 * bz; | ||
| out[3] = scale0 * aw + scale1 * bw; | ||
| return out; | ||
@@ -369,3 +439,3 @@ }; | ||
| /** | ||
| * Caclulates the length of a quat | ||
| * Calculates the length of a quat | ||
| * | ||
@@ -385,3 +455,3 @@ * @param {quat} a vector to calculate length of | ||
| /** | ||
| * Caclulates the squared length of a quat | ||
| * Calculates the squared length of a quat | ||
| * | ||
@@ -411,2 +481,48 @@ * @param {quat} a vector to calculate squared length of | ||
| /** | ||
| * Creates a quaternion from the given 3x3 rotation matrix. | ||
| * | ||
| * NOTE: The resultant quaternion is not normalized, so you should be sure | ||
| * to renormalize the quaternion yourself where necessary. | ||
| * | ||
| * @param {quat} out the receiving quaternion | ||
| * @param {mat3} m rotation matrix | ||
| * @returns {quat} out | ||
| * @function | ||
| */ | ||
| quat.fromMat3 = function(out, m) { | ||
| // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes | ||
| // article "Quaternion Calculus and Fast Animation". | ||
| var fTrace = m[0] + m[4] + m[8]; | ||
| var fRoot; | ||
| if ( fTrace > 0.0 ) { | ||
| // |w| > 1/2, may as well choose w > 1/2 | ||
| fRoot = Math.sqrt(fTrace + 1.0); // 2w | ||
| out[3] = 0.5 * fRoot; | ||
| fRoot = 0.5/fRoot; // 1/(4w) | ||
| out[0] = (m[7]-m[5])*fRoot; | ||
| out[1] = (m[2]-m[6])*fRoot; | ||
| out[2] = (m[3]-m[1])*fRoot; | ||
| } else { | ||
| // |w| <= 1/2 | ||
| var i = 0; | ||
| if ( m[4] > m[0] ) | ||
| i = 1; | ||
| if ( m[8] > m[i*3+i] ) | ||
| i = 2; | ||
| var j = (i+1)%3; | ||
| var k = (i+2)%3; | ||
| fRoot = Math.sqrt(m[i*3+i]-m[j*3+j]-m[k*3+k] + 1.0); | ||
| out[i] = 0.5 * fRoot; | ||
| fRoot = 0.5 / fRoot; | ||
| out[3] = (m[k*3+j] - m[j*3+k]) * fRoot; | ||
| out[j] = (m[j*3+i] + m[i*3+j]) * fRoot; | ||
| out[k] = (m[k*3+i] + m[i*3+k]) * fRoot; | ||
| } | ||
| return out; | ||
| }; | ||
| /** | ||
| * Returns a string representation of a quatenion | ||
@@ -413,0 +529,0 @@ * |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -29,6 +29,2 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| if(!GLMAT_EPSILON) { | ||
| var GLMAT_EPSILON = 0.000001; | ||
| } | ||
| /** | ||
@@ -40,3 +36,6 @@ * Creates a new, empty vec2 | ||
| vec2.create = function() { | ||
| return new Float32Array(2); | ||
| var out = new GLMAT_ARRAY_TYPE(2); | ||
| out[0] = 0; | ||
| out[1] = 0; | ||
| return out; | ||
| }; | ||
@@ -51,3 +50,3 @@ | ||
| vec2.clone = function(a) { | ||
| var out = new Float32Array(2); | ||
| var out = new GLMAT_ARRAY_TYPE(2); | ||
| out[0] = a[0]; | ||
@@ -66,3 +65,3 @@ out[1] = a[1]; | ||
| vec2.fromValues = function(x, y) { | ||
| var out = new Float32Array(2); | ||
| var out = new GLMAT_ARRAY_TYPE(2); | ||
| out[0] = x; | ||
@@ -115,3 +114,3 @@ out[1] = y; | ||
| /** | ||
| * Subtracts two vec2's | ||
| * Subtracts vector b from vector a | ||
| * | ||
@@ -208,3 +207,3 @@ * @param {vec2} out the receiving vector | ||
| * @param {vec2} a the vector to scale | ||
| * @param {vec2} b amount to scale the vector by | ||
| * @param {Number} b amount to scale the vector by | ||
| * @returns {vec2} out | ||
@@ -219,2 +218,17 @@ */ | ||
| /** | ||
| * Adds two vec2's after scaling the second operand by a scalar value | ||
| * | ||
| * @param {vec2} out the receiving vector | ||
| * @param {vec2} a the first operand | ||
| * @param {vec2} b the second operand | ||
| * @param {Number} scale the amount to scale b by before adding | ||
| * @returns {vec2} out | ||
| */ | ||
| vec2.scaleAndAdd = function(out, a, b, scale) { | ||
| out[0] = a[0] + (b[0] * scale); | ||
| out[1] = a[1] + (b[1] * scale); | ||
| return out; | ||
| }; | ||
| /** | ||
| * Calculates the euclidian distance between two vec2's | ||
@@ -258,3 +272,3 @@ * | ||
| /** | ||
| * Caclulates the length of a vec2 | ||
| * Calculates the length of a vec2 | ||
| * | ||
@@ -277,3 +291,3 @@ * @param {vec2} a vector to calculate length of | ||
| /** | ||
| * Caclulates the squared length of a vec2 | ||
| * Calculates the squared length of a vec2 | ||
| * | ||
@@ -329,3 +343,3 @@ * @param {vec2} a vector to calculate squared length of | ||
| /** | ||
| * Caclulates the dot product of two vec2's | ||
| * Calculates the dot product of two vec2's | ||
| * | ||
@@ -359,3 +373,3 @@ * @param {vec2} a the first operand | ||
| * | ||
| * @param {vec3} out the receiving vector | ||
| * @param {vec2} out the receiving vector | ||
| * @param {vec2} a the first operand | ||
@@ -375,2 +389,17 @@ * @param {vec2} b the second operand | ||
| /** | ||
| * Generates a random vector with the given scale | ||
| * | ||
| * @param {vec2} out the receiving vector | ||
| * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned | ||
| * @returns {vec2} out | ||
| */ | ||
| vec2.random = function (out, scale) { | ||
| scale = scale || 1.0; | ||
| var r = GLMAT_RANDOM() * 2.0 * Math.PI; | ||
| out[0] = Math.cos(r) * scale; | ||
| out[1] = Math.sin(r) * scale; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Transforms the vec2 with a mat2 | ||
@@ -386,4 +415,4 @@ * | ||
| y = a[1]; | ||
| out[0] = x * m[0] + y * m[1]; | ||
| out[1] = x * m[2] + y * m[3]; | ||
| out[0] = m[0] * x + m[2] * y; | ||
| out[1] = m[1] * x + m[3] * y; | ||
| return out; | ||
@@ -393,2 +422,53 @@ }; | ||
| /** | ||
| * Transforms the vec2 with a mat2d | ||
| * | ||
| * @param {vec2} out the receiving vector | ||
| * @param {vec2} a the vector to transform | ||
| * @param {mat2d} m matrix to transform with | ||
| * @returns {vec2} out | ||
| */ | ||
| vec2.transformMat2d = function(out, a, m) { | ||
| var x = a[0], | ||
| y = a[1]; | ||
| out[0] = m[0] * x + m[2] * y + m[4]; | ||
| out[1] = m[1] * x + m[3] * y + m[5]; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Transforms the vec2 with a mat3 | ||
| * 3rd vector component is implicitly '1' | ||
| * | ||
| * @param {vec2} out the receiving vector | ||
| * @param {vec2} a the vector to transform | ||
| * @param {mat3} m matrix to transform with | ||
| * @returns {vec2} out | ||
| */ | ||
| vec2.transformMat3 = function(out, a, m) { | ||
| var x = a[0], | ||
| y = a[1]; | ||
| out[0] = m[0] * x + m[3] * y + m[6]; | ||
| out[1] = m[1] * x + m[4] * y + m[7]; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Transforms the vec2 with a mat4 | ||
| * 3rd vector component is implicitly '0' | ||
| * 4th vector component is implicitly '1' | ||
| * | ||
| * @param {vec2} out the receiving vector | ||
| * @param {vec2} a the vector to transform | ||
| * @param {mat4} m matrix to transform with | ||
| * @returns {vec2} out | ||
| */ | ||
| vec2.transformMat4 = function(out, a, m) { | ||
| var x = a[0], | ||
| y = a[1]; | ||
| out[0] = m[0] * x + m[4] * y + m[12]; | ||
| out[1] = m[1] * x + m[5] * y + m[13]; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Perform some operation over an array of vec2s. | ||
@@ -406,3 +486,3 @@ * | ||
| vec2.forEach = (function() { | ||
| var vec = new Float32Array(2); | ||
| var vec = vec2.create(); | ||
@@ -409,0 +489,0 @@ return function(a, stride, offset, count, fn, arg) { |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -29,6 +29,2 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| if(!GLMAT_EPSILON) { | ||
| var GLMAT_EPSILON = 0.000001; | ||
| } | ||
| /** | ||
@@ -40,3 +36,7 @@ * Creates a new, empty vec3 | ||
| vec3.create = function() { | ||
| return new Float32Array(3); | ||
| var out = new GLMAT_ARRAY_TYPE(3); | ||
| out[0] = 0; | ||
| out[1] = 0; | ||
| out[2] = 0; | ||
| return out; | ||
| }; | ||
@@ -51,3 +51,3 @@ | ||
| vec3.clone = function(a) { | ||
| var out = new Float32Array(3); | ||
| var out = new GLMAT_ARRAY_TYPE(3); | ||
| out[0] = a[0]; | ||
@@ -68,3 +68,3 @@ out[1] = a[1]; | ||
| vec3.fromValues = function(x, y, z) { | ||
| var out = new Float32Array(3); | ||
| var out = new GLMAT_ARRAY_TYPE(3); | ||
| out[0] = x; | ||
@@ -122,3 +122,3 @@ out[1] = y; | ||
| /** | ||
| * Subtracts two vec3's | ||
| * Subtracts vector b from vector a | ||
| * | ||
@@ -220,3 +220,3 @@ * @param {vec3} out the receiving vector | ||
| * @param {vec3} a the vector to scale | ||
| * @param {vec3} b amount to scale the vector by | ||
| * @param {Number} b amount to scale the vector by | ||
| * @returns {vec3} out | ||
@@ -232,2 +232,18 @@ */ | ||
| /** | ||
| * Adds two vec3's after scaling the second operand by a scalar value | ||
| * | ||
| * @param {vec3} out the receiving vector | ||
| * @param {vec3} a the first operand | ||
| * @param {vec3} b the second operand | ||
| * @param {Number} scale the amount to scale b by before adding | ||
| * @returns {vec3} out | ||
| */ | ||
| vec3.scaleAndAdd = function(out, a, b, scale) { | ||
| out[0] = a[0] + (b[0] * scale); | ||
| out[1] = a[1] + (b[1] * scale); | ||
| out[2] = a[2] + (b[2] * scale); | ||
| return out; | ||
| }; | ||
| /** | ||
| * Calculates the euclidian distance between two vec3's | ||
@@ -273,3 +289,3 @@ * | ||
| /** | ||
| * Caclulates the length of a vec3 | ||
| * Calculates the length of a vec3 | ||
| * | ||
@@ -293,3 +309,3 @@ * @param {vec3} a vector to calculate length of | ||
| /** | ||
| * Caclulates the squared length of a vec3 | ||
| * Calculates the squared length of a vec3 | ||
| * | ||
@@ -349,3 +365,3 @@ * @param {vec3} a vector to calculate squared length of | ||
| /** | ||
| * Caclulates the dot product of two vec3's | ||
| * Calculates the dot product of two vec3's | ||
| * | ||
@@ -398,2 +414,22 @@ * @param {vec3} a the first operand | ||
| /** | ||
| * Generates a random vector with the given scale | ||
| * | ||
| * @param {vec3} out the receiving vector | ||
| * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned | ||
| * @returns {vec3} out | ||
| */ | ||
| vec3.random = function (out, scale) { | ||
| scale = scale || 1.0; | ||
| var r = GLMAT_RANDOM() * 2.0 * Math.PI; | ||
| var z = (GLMAT_RANDOM() * 2.0) - 1.0; | ||
| var zScale = Math.sqrt(1.0-z*z) * scale; | ||
| out[0] = Math.cos(r) * zScale; | ||
| out[1] = Math.sin(r) * zScale; | ||
| out[2] = z * scale; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Transforms the vec3 with a mat4. | ||
@@ -416,2 +452,18 @@ * 4th vector component is implicitly '1' | ||
| /** | ||
| * Transforms the vec3 with a mat3. | ||
| * | ||
| * @param {vec3} out the receiving vector | ||
| * @param {vec3} a the vector to transform | ||
| * @param {mat4} m the 3x3 matrix to transform with | ||
| * @returns {vec3} out | ||
| */ | ||
| vec3.transformMat3 = function(out, a, m) { | ||
| var x = a[0], y = a[1], z = a[2]; | ||
| out[0] = x * m[0] + y * m[3] + z * m[6]; | ||
| out[1] = x * m[1] + y * m[4] + z * m[7]; | ||
| out[2] = x * m[2] + y * m[5] + z * m[8]; | ||
| return out; | ||
| }; | ||
| /** | ||
| * Transforms the vec3 with a quat | ||
@@ -425,2 +477,4 @@ * | ||
| vec3.transformQuat = function(out, a, q) { | ||
| // benchmarks: http://jsperf.com/quaternion-transform-vec3-implementations | ||
| var x = a[0], y = a[1], z = a[2], | ||
@@ -442,2 +496,86 @@ qx = q[0], qy = q[1], qz = q[2], qw = q[3], | ||
| /* | ||
| * Rotate a 3D vector around the x-axis | ||
| * @param {vec3} out The receiving vec3 | ||
| * @param {vec3} a The vec3 point to rotate | ||
| * @param {vec3} b The origin of the rotation | ||
| * @param {Number} c The angle of rotation | ||
| * @returns {vec3} out | ||
| */ | ||
| vec3.rotateX = function(out, a, b, c){ | ||
| var p = [], r=[]; | ||
| //Translate point to the origin | ||
| p[0] = a[0] - b[0]; | ||
| p[1] = a[1] - b[1]; | ||
| p[2] = a[2] - b[2]; | ||
| //perform rotation | ||
| r[0] = p[0]; | ||
| r[1] = p[1]*Math.cos(c) - p[2]*Math.sin(c); | ||
| r[2] = p[1]*Math.sin(c) + p[2]*Math.cos(c); | ||
| //translate to correct position | ||
| out[0] = r[0] + b[0]; | ||
| out[1] = r[1] + b[1]; | ||
| out[2] = r[2] + b[2]; | ||
| return out; | ||
| }; | ||
| /* | ||
| * Rotate a 3D vector around the y-axis | ||
| * @param {vec3} out The receiving vec3 | ||
| * @param {vec3} a The vec3 point to rotate | ||
| * @param {vec3} b The origin of the rotation | ||
| * @param {Number} c The angle of rotation | ||
| * @returns {vec3} out | ||
| */ | ||
| vec3.rotateY = function(out, a, b, c){ | ||
| var p = [], r=[]; | ||
| //Translate point to the origin | ||
| p[0] = a[0] - b[0]; | ||
| p[1] = a[1] - b[1]; | ||
| p[2] = a[2] - b[2]; | ||
| //perform rotation | ||
| r[0] = p[2]*Math.sin(c) + p[0]*Math.cos(c); | ||
| r[1] = p[1]; | ||
| r[2] = p[2]*Math.cos(c) - p[0]*Math.sin(c); | ||
| //translate to correct position | ||
| out[0] = r[0] + b[0]; | ||
| out[1] = r[1] + b[1]; | ||
| out[2] = r[2] + b[2]; | ||
| return out; | ||
| }; | ||
| /* | ||
| * Rotate a 3D vector around the z-axis | ||
| * @param {vec3} out The receiving vec3 | ||
| * @param {vec3} a The vec3 point to rotate | ||
| * @param {vec3} b The origin of the rotation | ||
| * @param {Number} c The angle of rotation | ||
| * @returns {vec3} out | ||
| */ | ||
| vec3.rotateZ = function(out, a, b, c){ | ||
| var p = [], r=[]; | ||
| //Translate point to the origin | ||
| p[0] = a[0] - b[0]; | ||
| p[1] = a[1] - b[1]; | ||
| p[2] = a[2] - b[2]; | ||
| //perform rotation | ||
| r[0] = p[0]*Math.cos(c) - p[1]*Math.sin(c); | ||
| r[1] = p[0]*Math.sin(c) + p[1]*Math.cos(c); | ||
| r[2] = p[2]; | ||
| //translate to correct position | ||
| out[0] = r[0] + b[0]; | ||
| out[1] = r[1] + b[1]; | ||
| out[2] = r[2] + b[2]; | ||
| return out; | ||
| }; | ||
| /** | ||
@@ -456,3 +594,3 @@ * Perform some operation over an array of vec3s. | ||
| vec3.forEach = (function() { | ||
| var vec = new Float32Array(3); | ||
| var vec = vec3.create(); | ||
@@ -459,0 +597,0 @@ return function(a, stride, offset, count, fn, arg) { |
@@ -1,2 +0,2 @@ | ||
| /* Copyright (c) 2012, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
| /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved. | ||
@@ -29,6 +29,2 @@ Redistribution and use in source and binary forms, with or without modification, | ||
| if(!GLMAT_EPSILON) { | ||
| var GLMAT_EPSILON = 0.000001; | ||
| } | ||
| /** | ||
@@ -40,3 +36,8 @@ * Creates a new, empty vec4 | ||
| vec4.create = function() { | ||
| return new Float32Array(4); | ||
| var out = new GLMAT_ARRAY_TYPE(4); | ||
| out[0] = 0; | ||
| out[1] = 0; | ||
| out[2] = 0; | ||
| out[3] = 0; | ||
| return out; | ||
| }; | ||
@@ -51,3 +52,3 @@ | ||
| vec4.clone = function(a) { | ||
| var out = new Float32Array(4); | ||
| var out = new GLMAT_ARRAY_TYPE(4); | ||
| out[0] = a[0]; | ||
@@ -70,3 +71,3 @@ out[1] = a[1]; | ||
| vec4.fromValues = function(x, y, z, w) { | ||
| var out = new Float32Array(4); | ||
| var out = new GLMAT_ARRAY_TYPE(4); | ||
| out[0] = x; | ||
@@ -129,3 +130,3 @@ out[1] = y; | ||
| /** | ||
| * Subtracts two vec4's | ||
| * Subtracts vector b from vector a | ||
| * | ||
@@ -232,3 +233,3 @@ * @param {vec4} out the receiving vector | ||
| * @param {vec4} a the vector to scale | ||
| * @param {vec4} b amount to scale the vector by | ||
| * @param {Number} b amount to scale the vector by | ||
| * @returns {vec4} out | ||
@@ -245,2 +246,19 @@ */ | ||
| /** | ||
| * Adds two vec4's after scaling the second operand by a scalar value | ||
| * | ||
| * @param {vec4} out the receiving vector | ||
| * @param {vec4} a the first operand | ||
| * @param {vec4} b the second operand | ||
| * @param {Number} scale the amount to scale b by before adding | ||
| * @returns {vec4} out | ||
| */ | ||
| vec4.scaleAndAdd = function(out, a, b, scale) { | ||
| out[0] = a[0] + (b[0] * scale); | ||
| out[1] = a[1] + (b[1] * scale); | ||
| out[2] = a[2] + (b[2] * scale); | ||
| out[3] = a[3] + (b[3] * scale); | ||
| return out; | ||
| }; | ||
| /** | ||
| * Calculates the euclidian distance between two vec4's | ||
@@ -288,3 +306,3 @@ * | ||
| /** | ||
| * Caclulates the length of a vec4 | ||
| * Calculates the length of a vec4 | ||
| * | ||
@@ -309,3 +327,3 @@ * @param {vec4} a vector to calculate length of | ||
| /** | ||
| * Caclulates the squared length of a vec4 | ||
| * Calculates the squared length of a vec4 | ||
| * | ||
@@ -368,3 +386,3 @@ * @param {vec4} a vector to calculate squared length of | ||
| /** | ||
| * Caclulates the dot product of two vec4's | ||
| * Calculates the dot product of two vec4's | ||
| * | ||
@@ -401,2 +419,22 @@ * @param {vec4} a the first operand | ||
| /** | ||
| * Generates a random vector with the given scale | ||
| * | ||
| * @param {vec4} out the receiving vector | ||
| * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned | ||
| * @returns {vec4} out | ||
| */ | ||
| vec4.random = function (out, scale) { | ||
| scale = scale || 1.0; | ||
| //TODO: This is a pretty awful way of doing this. Find something better. | ||
| out[0] = GLMAT_RANDOM(); | ||
| out[1] = GLMAT_RANDOM(); | ||
| out[2] = GLMAT_RANDOM(); | ||
| out[3] = GLMAT_RANDOM(); | ||
| vec4.normalize(out, out); | ||
| vec4.scale(out, out, scale); | ||
| return out; | ||
| }; | ||
| /** | ||
| * Transforms the vec4 with a mat4. | ||
@@ -456,3 +494,3 @@ * | ||
| vec4.forEach = (function() { | ||
| var vec = new Float32Array(4); | ||
| var vec = vec4.create(); | ||
@@ -459,0 +497,0 @@ return function(a, stride, offset, count, fn, arg) { |
@@ -9,2 +9,3 @@ Running the test suite | ||
| * selenium -- used for automated in-browser testing via Ruby | ||
| * jscoverage -- used for code coverage report generation | ||
@@ -11,0 +12,0 @@ If Ruby is installed, you can set up with: |
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Improved metrics
- Total package byte prevSize
- increased by30.17%
462977
- Number of package files
- increased by14%
57
- Lines of code
- increased by36.61%
11243
- Number of low maintenance alerts
- decreased by-100%
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- Number of low quality alerts
- decreased by-100%
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- Dev dependency count
- increased byInfinity%
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- decreased by-63.49%
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