From 7da4243862494d1fc7478956362f4da6d80f4f7e Mon Sep 17 00:00:00 2001 From: Norbert Preining Date: Mon, 21 Oct 2019 03:00:45 +0000 Subject: CTAN sync 201910210300 --- graphics/asymptote/base/asymptote.py | 18 +-- graphics/asymptote/base/shaders/fragment.glsl | 5 +- graphics/asymptote/base/three_arrows.asy | 4 +- graphics/asymptote/base/webgl/WebGLfooter.html | 10 -- graphics/asymptote/base/webgl/WebGLheader.html | 188 ------------------------- graphics/asymptote/base/webgl/asygl.js | 6 +- 6 files changed, 14 insertions(+), 217 deletions(-) delete mode 100644 graphics/asymptote/base/webgl/WebGLfooter.html delete mode 100644 graphics/asymptote/base/webgl/WebGLheader.html (limited to 'graphics/asymptote/base') diff --git a/graphics/asymptote/base/asymptote.py b/graphics/asymptote/base/asymptote.py index 19b72c5082..1a7aebd0fd 100755 --- a/graphics/asymptote/base/asymptote.py +++ b/graphics/asymptote/base/asymptote.py @@ -32,19 +32,15 @@ class asy: self.send('quit'); self.session.stdin.close(); self.session.wait() - - - - if __name__=="__main__": - g = asy() + g=asy() g.size(200) - g.draw("unitcircle") - g.send("draw(unitsquare)") - g.fill("unitsquare, blue") - g.clip("unitcircle") - g.label("\"$O$\", (0,0), SW") - raw_input("press ENTER to continue") + g.draw('unitcircle') + g.send('draw(unitsquare)') + g.fill('unitsquare,blue') + g.clip('unitcircle') + g.label('"$O$",(0,0),SW') + input('press ENTER to continue') g.erase() del g diff --git a/graphics/asymptote/base/shaders/fragment.glsl b/graphics/asymptote/base/shaders/fragment.glsl index 83718420e3..cdcc0b49e8 100644 --- a/graphics/asymptote/base/shaders/fragment.glsl +++ b/graphics/asymptote/base/shaders/fragment.glsl @@ -131,7 +131,6 @@ void main() { vec4 diffuse; vec4 emissive; - vec4 parameters; Material m; #ifdef TRANSPARENT @@ -162,9 +161,9 @@ void main() #endif #endif -#ifdef NORMAL +#if defined(NORMAL) && Nlights > 0 Specular=m.specular.rgb; - parameters=m.parameters; + vec4 parameters=m.parameters; Roughness2=1.0-parameters[0]; Roughness2=Roughness2*Roughness2; Metallic=parameters[1]; diff --git a/graphics/asymptote/base/three_arrows.asy b/graphics/asymptote/base/three_arrows.asy index 4398b9bd78..87fc39c52e 100644 --- a/graphics/asymptote/base/three_arrows.asy +++ b/graphics/asymptote/base/three_arrows.asy @@ -71,7 +71,7 @@ struct arrowhead3 real arcsize(pen p)=arcarrowsize; real gap=1; real size; - bool splitpath=true; + bool splitpath=false; surface head(path3 g, position position=EndPoint, pen p=currentpen, real size=0, real angle=arrowangle, @@ -286,6 +286,7 @@ arrowhead3 HookHead2(real dir=arrowdir, real barb=arrowbarb, triple normal=O) }; a.arrowhead2=HookHead; a.gap=1.005; + a.splitpath=true; return a; } arrowhead3 HookHead2=HookHead2(); @@ -308,7 +309,6 @@ arrowhead3 TeXHead2(triple normal=O) { }; a.arrowhead2=TeXHead; a.size=TeXHead.size; - a.splitpath=false; a.gap=1.005; return a; } diff --git a/graphics/asymptote/base/webgl/WebGLfooter.html b/graphics/asymptote/base/webgl/WebGLfooter.html deleted file mode 100644 index 4aba96372e..0000000000 --- a/graphics/asymptote/base/webgl/WebGLfooter.html +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/graphics/asymptote/base/webgl/WebGLheader.html b/graphics/asymptote/base/webgl/WebGLheader.html deleted file mode 100644 index ac2f083901..0000000000 --- a/graphics/asymptote/base/webgl/WebGLheader.html +++ /dev/null @@ -1,188 +0,0 @@ - - - - - - - - - diff --git a/graphics/asymptote/base/webgl/asygl.js b/graphics/asymptote/base/webgl/asygl.js index d6417c416e..9b7abe5b84 100644 --- a/graphics/asymptote/base/webgl/asygl.js +++ b/graphics/asymptote/base/webgl/asygl.js @@ -1,5 +1,5 @@ /*@license - gl.js: Render Bezier patches via subdivision with WebGL. + AsyGL: Render Bezier patches and triangles via subdivision with WebGL. Copyright 2019: John C. Bowman and Supakorn "Jamie" Rassameemasmuang University of Alberta @@ -16,7 +16,6 @@ GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see . */ -let gl,canvas,canvasWidth,canvasHeight,halfCanvasWidth,halfCanvasHeight;!function(t,e){if("object"==typeof exports&&"object"==typeof module)module.exports=e();else if("function"==typeof define&&define.amd)define([],e);else{var i=e();for(var r in i)("object"==typeof exports?exports:t)[r]=i[r]}}("undefined"!=typeof self?self:this,function(){return function(t){var e={};function i(r){if(e[r])return e[r].exports;var a=e[r]={i:r,l:!1,exports:{}};return t[r].call(a.exports,a,a.exports,i),a.l=!0,a.exports}return i.m=t,i.c=e,i.d=function(t,e,r){i.o(t,e)||Object.defineProperty(t,e,{configurable:!1,enumerable:!0,get:r})},i.n=function(t){var e=t&&t.__esModule?function(){return t.default}:function(){return t};return i.d(e,"a",e),e},i.o=function(t,e){return Object.prototype.hasOwnProperty.call(t,e)},i.p="",i(i.s=1)}([function(t,e,i){"use strict";Object.defineProperty(e,"__esModule",{value:!0}),e.setMatrixArrayType=function(t){e.ARRAY_TYPE=t},e.toRadian=function(t){return 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f=1/f,t[0]=d*f,t[1]=(-c*r+a*l)*f,t[2]=(o*r-a*n)*f,t[3]=m*f,t[4]=(c*i-a*h)*f,t[5]=(-o*i+a*s)*f,t[6]=u*f,t[7]=(-l*i+r*h)*f,t[8]=(n*i-r*s)*f,t};var r=function(t){if(t&&t.__esModule)return t;var e={};if(null!=t)for(var i in t)Object.prototype.hasOwnProperty.call(t,i)&&(e[i]=t[i]);return e.default=t,e}(i(0))},function(t,e,i){"use strict";Object.defineProperty(e,"__esModule",{value:!0}),e.create=function(){var t=new r.ARRAY_TYPE(16);return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.identity=function(t){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},e.invert=function(t,e){var i=e[0],r=e[1],a=e[2],s=e[3],n=e[4],o=e[5],h=e[6],l=e[7],c=e[8],d=e[9],m=e[10],u=e[11],f=e[12],v=e[13],p=e[14],g=e[15],x=i*o-r*n,M=i*h-a*n,w=i*l-s*n,A=r*h-a*o,S=r*l-s*o,b=a*l-s*h,P=c*v-d*f,z=c*p-m*f,R=c*g-u*f,y=d*p-m*v,D=d*g-u*v,T=m*g-u*p,E=x*T-M*D+w*y+A*R-S*z+b*P;if(!E)return null;return E=1/E,t[0]=(o*T-h*D+l*y)*E,t[1]=(a*D-r*T-s*y)*E,t[2]=(v*b-p*S+g*A)*E,t[3]=(m*S-d*b-u*A)*E,t[4]=(h*R-n*T-l*z)*E,t[5]=(i*T-a*R+s*z)*E,t[6]=(p*w-f*b-g*M)*E,t[7]=(c*b-m*w+u*M)*E,t[8]=(n*D-o*R+l*P)*E,t[9]=(r*R-i*D-s*P)*E,t[10]=(f*S-v*w+g*x)*E,t[11]=(d*w-c*S-u*x)*E,t[12]=(o*z-n*y-h*P)*E,t[13]=(i*y-r*z+a*P)*E,t[14]=(v*M-f*A-p*x)*E,t[15]=(c*A-d*M+m*x)*E,t},e.multiply=a,e.translate=function(t,e,i){var r=i[0],a=i[1],s=i[2],n=void 0,o=void 0,h=void 0,l=void 0,c=void 0,d=void 0,m=void 0,u=void 0,f=void 0,v=void 0,p=void 0,g=void 0;e===t?(t[12]=e[0]*r+e[4]*a+e[8]*s+e[12],t[13]=e[1]*r+e[5]*a+e[9]*s+e[13],t[14]=e[2]*r+e[6]*a+e[10]*s+e[14],t[15]=e[3]*r+e[7]*a+e[11]*s+e[15]):(n=e[0],o=e[1],h=e[2],l=e[3],c=e[4],d=e[5],m=e[6],u=e[7],f=e[8],v=e[9],p=e[10],g=e[11],t[0]=n,t[1]=o,t[2]=h,t[3]=l,t[4]=c,t[5]=d,t[6]=m,t[7]=u,t[8]=f,t[9]=v,t[10]=p,t[11]=g,t[12]=n*r+c*a+f*s+e[12],t[13]=o*r+d*a+v*s+e[13],t[14]=h*r+m*a+p*s+e[14],t[15]=l*r+u*a+g*s+e[15]);return t},e.rotate=function(t,e,i,a){var s=a[0],n=a[1],o=a[2],h=Math.sqrt(s*s+n*n+o*o),l=void 0,c=void 0,d=void 0,m=void 0,u=void 0,f=void 0,v=void 0,p=void 0,g=void 0,x=void 0,M=void 0,w=void 0,A=void 0,S=void 0,b=void 0,P=void 0,z=void 0,R=void 0,y=void 0,D=void 0,T=void 0,E=void 0,I=void 0,O=void 0;if(Math.abs(h)gl.getUniformLocation(t,e+"."+i):r=>gl.getUniformLocation(t,e+"["+i+"]."+r),gl.uniform4fv(r("diffuse"),new Float32Array(this.diffuse)),gl.uniform4fv(r("emissive"),new Float32Array(this.emissive)),gl.uniform4fv(r("specular"),new Float32Array(this.specular)),gl.uniform1f(r("shininess"),this.shininess),gl.uniform1f(r("metallic"),this.metallic),gl.uniform1f(r("fresnel0"),this.fresnel0)}}let enumPointLight=1,enumDirectionalLight=2;class Light{constructor(t,e){this.direction=t,this.color=e}setUniform(t,e,i){let r=r=>gl.getUniformLocation(t,e+"["+i+"]."+r);gl.uniform3fv(r("direction"),new Float32Array(this.direction)),gl.uniform3fv(r("color"),new Float32Array(this.color))}}function initGL(){try{gl=canvas.getContext("webgl",{alpha:Background[3]<1})}catch(t){}gl||alert("Could not initialize WebGL")}function getShader(t,e,i=[]){let r=document.getElementById(e);if(!r)return null;let a=`#version 100\n#ifdef GL_FRAGMENT_PRECISION_HIGH\n precision highp float;\n#else\n precision mediump float;\n#endif\n #define nlights ${Lights.length}\n\n const int nLights=${Math.max(Lights.length,1)};\n\n const int nMaterials=${Math.max(Materials.length,1)};\n`;orthographic&&(a+="#define ORTHOGRAPHIC\n"),i.forEach(t=>a+="#define "+t+"\n");let s,n=r.firstChild;for(;n;)3==n.nodeType&&(a+=n.textContent),n=n.nextSibling;if("x-shader/x-fragment"==r.type)s=t.createShader(t.FRAGMENT_SHADER);else{if("x-shader/x-vertex"!=r.type)return null;s=t.createShader(t.VERTEX_SHADER)}return t.shaderSource(s,a),t.compileShader(s),t.getShaderParameter(s,t.COMPILE_STATUS)?s:(alert(t.getShaderInfoLog(s)),null)}function drawBuffer(t,e,i=t.indices){if(0==t.indices.length)return;let r=e==pixelShader,a=!r&&e!=noNormalShader;setUniforms(e),gl.bindBuffer(gl.ARRAY_BUFFER,positionBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Float32Array(t.vertices),gl.STATIC_DRAW),gl.vertexAttribPointer(e.vertexPositionAttribute,3,gl.FLOAT,!1,a?24:r?16:12,0),a?gl.vertexAttribPointer(e.vertexNormalAttribute,3,gl.FLOAT,!1,24,12):r&&gl.vertexAttribPointer(e.vertexWidthAttribute,1,gl.FLOAT,!1,16,12),gl.bindBuffer(gl.ARRAY_BUFFER,materialBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Int16Array(t.materials),gl.STATIC_DRAW),gl.vertexAttribPointer(e.vertexMaterialAttribute,1,gl.SHORT,!1,2,0),e!=colorShader&&e!=transparentShader||(gl.bindBuffer(gl.ARRAY_BUFFER,colorBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Uint8Array(t.colors),gl.STATIC_DRAW),gl.vertexAttribPointer(e.vertexColorAttribute,4,gl.UNSIGNED_BYTE,!0,0,0)),gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER,indexBuffer),gl.bufferData(gl.ELEMENT_ARRAY_BUFFER,indexExt?new Uint32Array(i):new Uint16Array(i),gl.STATIC_DRAW),gl.drawElements(a?gl.TRIANGLES:r?gl.POINTS:gl.LINES,i.length,indexExt?gl.UNSIGNED_INT:gl.UNSIGNED_SHORT,0)}class vertexBuffer{constructor(){this.clear()}clear(){this.vertices=[],this.materials=[],this.colors=[],this.indices=[],this.nvertices=0}vertex(t,e){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.materials.push(materialIndex),this.nvertices++}Vertex(t,e,i=[0,0,0,0]){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.materials.push(materialIndex),this.colors.push(i[0]),this.colors.push(i[1]),this.colors.push(i[2]),this.colors.push(i[3]),this.nvertices++}vertex1(t){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.materials.push(materialIndex),this.nvertices++}vertex0(t,e){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e),this.materials.push(materialIndex),this.nvertices++}iVertex(t,e,i,r=[0,0,0,0]){let a=6*t;this.vertices[a]=e[0],this.vertices[a+1]=e[1],this.vertices[a+2]=e[2],this.vertices[a+3]=i[0],this.vertices[a+4]=i[1],this.vertices[a+5]=i[2],this.materials[t]=materialIndex;let s=4*t;this.colors[s]=r[0],this.colors[s+1]=r[1],this.colors[s+2]=r[2],this.colors[s+3]=r[3],this.indices.push(t)}append(t){append(this.vertices,t.vertices),append(this.materials,t.materials),append(this.colors,t.colors),appendOffset(this.indices,t.indices,this.nvertices),this.nvertices+=t.nvertices}}let materialIndex,material0Data=new vertexBuffer,material1Data=new vertexBuffer,materialData=new vertexBuffer,colorData=new vertexBuffer,transparentData=new vertexBuffer,triangleData=new vertexBuffer;function append(t,e){let i=t.length,r=e.length;t.length+=r;for(let a=0;athis.X&&(this.X=h),lthis.Y&&(this.Y=l)}return(this.X<-1.01||this.x>1.01||this.Y<-1.01||this.y>1.01)&&(this.Onscreen=!1,!0)}T(t){let e=this.c[0],i=this.c[1],r=this.c[2],a=t[0]-e,s=t[1]-i,n=t[2]-r;return[a*normMat[0]+s*normMat[3]+n*normMat[6]+e,a*normMat[1]+s*normMat[4]+n*normMat[7]+i,a*normMat[2]+s*normMat[5]+n*normMat[8]+r]}Tcorners(t,e){return[this.T(t),this.T([t[0],t[1],e[2]]),this.T([t[0],e[1],t[2]]),this.T([t[0],e[1],e[2]]),this.T([e[0],t[1],t[2]]),this.T([e[0],t[1],e[2]]),this.T([e[0],e[1],t[2]]),this.T(e)]}render(){let t;if(0==this.CenterIndex?t=corners(this.Min,this.Max):(this.c=Centers[this.CenterIndex-1],t=this.Tcorners(this.Min,this.Max)),this.offscreen(t))return void this.data.clear();let e,i=this.controlpoints;if(0==this.CenterIndex){if(!remesh&&this.Onscreen)return void this.append();e=i}else{let t=i.length;e=Array(t);for(let r=0;r0&&this.append()}append(){this.transparent?transparentData.append(this.data):this.color?colorData.append(this.data):materialData.append(this.data)}Render(t,e,i,r,a,s,n,o,h,l,c,d,m,u,f,v,p){if(this.Distance(t)0&&this.append()}Render3(t,e,i,r,a,s,n,o,h,l,c,d,m){if(this.Distance3(t)this.epsilon)return a;let s=bezierPP(t,e,i);return abs2(s)>this.epsilon?s:bezierPPP(t,e,i,r)}sumderivative(t,e,i,r,a,s,n){let o=this.derivative(t,e,i,r),h=this.derivative(t,a,s,n);return[o[0]+h[0],o[1]+h[1],o[2]+h[2]]}normal(t,e,i,r,a,s,n){let o=a[0]-r[0],h=a[1]-r[1],l=a[2]-r[2],c=i[0]-r[0],d=i[1]-r[1],m=i[2]-r[2],u=[h*m-l*d,l*c-o*m,o*d-h*c];if(abs2(u)>this.epsilon)return unit(u);let f=[c,d,m],v=[o,h,l],p=bezierPP(r,i,e),g=bezierPP(r,a,s),x=cross(g,f),M=cross(v,p);if(abs2(u=[x[0]+M[0],x[1]+M[1],x[2]+M[2]])>this.epsilon)return unit(u);let w=bezierPPP(r,i,e,t),A=bezierPPP(r,a,s,n);x=cross(g,p),M=cross(v,w);let S=cross(A,f),b=cross(A,p),P=cross(g,w),z=cross(A,w);return unit([9*x[0]+3*(M[0]+S[0]+b[0]+P[0])+z[0],9*x[1]+3*(M[1]+S[1]+b[1]+P[1])+z[1],9*x[2]+3*(M[2]+S[2]+b[2]+P[2])+z[2]])}}class BezierCurve extends Geometry{constructor(t,e,i,r,a){super(),this.controlpoints=t,this.Min=r,this.Max=a,this.CenterIndex=e,this.MaterialIndex=i}processLine(t){let e=t[0],i=t[1];this.offscreen([e,i])||(this.data.indices.push(this.data.vertex1(e)),this.data.indices.push(this.data.vertex1(i)),this.append())}process(t){if(2==t.length)return this.processLine(t);let e=this.data.vertex1(t[0]),i=this.data.vertex1(t[3]);this.Render(t,e,i),this.data.indices.length>0&&this.append()}append(){material1Data.append(this.data)}Render(t,e,i){let r=t[0],a=t[1],s=t[2],n=t[3];if(Straightness(r,a,s,n)1?e[1]:i;if(t&&0!=t.length||(t=i),this.Colors.length>0){let n=e.length>2?e[2]:i;n&&0!=n.length||(n=i);let o=this.Colors[n[0]],h=this.Colors[n[1]],l=this.Colors[n[2]];this.transparent|=o[3]+h[3]+l[3]<765,materialIndex=-1-this.MaterialIndex,this.data.iVertex(i[0],r,this.Normals[t[0]],o),this.data.iVertex(i[1],a,this.Normals[t[1]],h),this.data.iVertex(i[2],s,this.Normals[t[2]],l)}else materialIndex=1+this.MaterialIndex,this.data.iVertex(i[0],r,this.Normals[t[0]]),this.data.iVertex(i[1],a,this.Normals[t[1]]),this.data.iVertex(i[2],s,this.Normals[t[2]])}}this.data.nvertices=this.Positions.length,this.data.indices.length>0&&this.append()}append(){this.transparent?transparentData.append(this.data):triangleData.append(this.data)}}function home(){mat4.identity(rotMat),initProjection(),setProjection(),remesh=!0,redraw=!0}function initShader(t=[]){let e=getShader(gl,"fragment",t),i=getShader(gl,"vertex",t),r=gl.createProgram();return gl.attachShader(r,i),gl.attachShader(r,e),gl.linkProgram(r),gl.getProgramParameter(r,gl.LINK_STATUS)||alert("Could not initialize shaders"),r}class Split3{constructor(t,e,i,r){this.m0=[.5*(t[0]+e[0]),.5*(t[1]+e[1]),.5*(t[2]+e[2])];let a=.5*(e[0]+i[0]),s=.5*(e[1]+i[1]),n=.5*(e[2]+i[2]);this.m2=[.5*(i[0]+r[0]),.5*(i[1]+r[1]),.5*(i[2]+r[2])],this.m3=[.5*(this.m0[0]+a),.5*(this.m0[1]+s),.5*(this.m0[2]+n)],this.m4=[.5*(a+this.m2[0]),.5*(s+this.m2[1]),.5*(n+this.m2[2])],this.m5=[.5*(this.m3[0]+this.m4[0]),.5*(this.m3[1]+this.m4[1]),.5*(this.m3[2]+this.m4[2])]}}function iszero(t){return 0==t[0]&&0==t[1]&&0==t[2]}function unit(t){let e=1/(Math.sqrt(t[0]*t[0]+t[1]*t[1]+t[2]*t[2])||1);return[t[0]*e,t[1]*e,t[2]*e]}function abs2(t){return t[0]*t[0]+t[1]*t[1]+t[2]*t[2]}function dot(t,e){return t[0]*e[0]+t[1]*e[1]+t[2]*e[2]}function cross(t,e){return[t[1]*e[2]-t[2]*e[1],t[2]*e[0]-t[0]*e[2],t[0]*e[1]-t[1]*e[0]]}function bezierPP(t,e,i){return[t[0]+i[0]-2*e[0],t[1]+i[1]-2*e[1],t[2]+i[2]-2*e[2]]}function bezierPPP(t,e,i,r){return[r[0]-t[0]+3*(e[0]-i[0]),r[1]-t[1]+3*(e[1]-i[1]),r[2]-t[2]+3*(e[2]-i[2])]}function Straightness(t,e,i,r){let a=[third*(r[0]-t[0]),third*(r[1]-t[1]),third*(r[2]-t[2])];return Math.max(abs2([e[0]-a[0]-t[0],e[1]-a[1]-t[1],e[2]-a[2]-t[2]]),abs2([r[0]-a[0]-i[0],r[1]-a[1]-i[1],r[2]-a[2]-i[2]]))}function Distance2(t,e,i){let r=dot([t[0]-e[0],t[1]-e[1],t[2]-e[2]],i);return r*r}function corners(t,e){return[t,[t[0],t[1],e[2]],[t[0],e[1],t[2]],[t[0],e[1],e[2]],[e[0],t[1],t[2]],[e[0],t[1],e[2]],[e[0],e[1],t[2]],e]}function COBTarget(t,e){mat4.fromTranslation(translMat,[center.x,center.y,center.z]),mat4.invert(cjMatInv,translMat),mat4.multiply(t,e,cjMatInv),mat4.multiply(t,translMat,t)}function setUniforms(t){let e=t==pixelShader;gl.useProgram(t),t.vertexPositionAttribute=gl.getAttribLocation(t,"position"),gl.enableVertexAttribArray(t.vertexPositionAttribute),e&&(t.vertexWidthAttribute=gl.getAttribLocation(t,"width"),gl.enableVertexAttribArray(t.vertexWidthAttribute)),t==noNormalShader||e||(t.vertexNormalAttribute=gl.getAttribLocation(t,"normal"),gl.enableVertexAttribArray(t.vertexNormalAttribute)),t.vertexMaterialAttribute=gl.getAttribLocation(t,"materialIndex"),gl.enableVertexAttribArray(t.vertexMaterialAttribute),t.projViewMatUniform=gl.getUniformLocation(t,"projViewMat"),t.viewMatUniform=gl.getUniformLocation(t,"viewMat"),t.normMatUniform=gl.getUniformLocation(t,"normMat"),t!=colorShader&&t!=transparentShader||(t.vertexColorAttribute=gl.getAttribLocation(t,"color"),gl.enableVertexAttribArray(t.vertexColorAttribute));for(let e=0;e=t&&(Zoom=t),Zoom!=lastzoom&&(remesh=!0),lastzoom=Zoom}function zoomImage(t){let e=zoomStep*halfCanvasHeight*t;const i=Math.log(.1*Number.MAX_VALUE)/Math.log(zoomFactor);Math.abs(e)1&&(denom=1/r,e*=denom,i*=denom),[e,i,Math.sqrt(Math.max(1-i*i-e*e,0))]}function arcball(t,e){let i=normMouse(t),r=normMouse(e),a=dot(i,r);return a>1?a=1:a<-1&&(a=-1),[Math.acos(a),unit(cross(i,r))]}function zoomScene(t,e,i,r){zoomImage(e-r)}const DRAGMODE_ROTATE=1,DRAGMODE_SHIFT=2,DRAGMODE_ZOOM=3,DRAGMODE_PAN=4;function processDrag(t,e,i,r=1){let a;switch(i){case DRAGMODE_ROTATE:a=rotateScene;break;case DRAGMODE_SHIFT:a=shiftScene;break;case DRAGMODE_ZOOM:a=zoomScene;break;case DRAGMODE_PAN:a=panScene;break;default:a=((t,e,i,r)=>{})}a((lastMouseX-halfCanvasWidth)/halfCanvasWidth,(lastMouseY-halfCanvasHeight)/halfCanvasHeight,(t-halfCanvasWidth)/halfCanvasWidth,(e-halfCanvasHeight)/halfCanvasHeight,r),lastMouseX=t,lastMouseY=e,setProjection(),redraw=!0}function handleKey(t){let e=[];switch(t.key){case"x":e=[1,0,0];break;case"y":e=[0,1,0];break;case"z":e=[0,0,1];break;case"h":home();break;case"+":case"=":case">":expand();break;case"-":case"_":case"<":shrink()}e.length>0&&(mat4.rotate(rotMat,rotMat,.1,e),updateViewMatrix(),redraw=!0)}function handleMouseWheel(t){t.preventDefault(),t.deltaY<0?Zoom*=zoomFactor:Zoom/=zoomFactor,capzoom(),setProjection(),redraw=!0}function handleMouseMove(t){if(!mouseDownOrTouchActive)return;let e;processDrag(t.clientX,t.clientY,e=t.getModifierState("Control")?DRAGMODE_SHIFT:t.getModifierState("Shift")?DRAGMODE_ZOOM:t.getModifierState("Alt")?DRAGMODE_PAN:DRAGMODE_ROTATE)}let indexExt,zooming=!1,swipe=!1,rotate=!1;function handleTouchMove(t){if(t.preventDefault(),zooming)return;let e=t.targetTouches;if(!pinch&&1==e.length&&touchId==e[0].identifier){let t=e[0].pageX,i=e[0].pageY,r=t-lastMouseX,a=i-lastMouseY,s=r*r+a*a<=shiftHoldDistance*shiftHoldDistance;if(s&&!swipe&&!rotate&&(new Date).getTime()-touchStartTime>shiftWaitTime&&(navigator.vibrate&&window.navigator.vibrate(vibrateTime),swipe=!0),swipe)processDrag(t,i,DRAGMODE_SHIFT);else if(!s){rotate=!0,processDrag(e[0].pageX,e[0].pageY,DRAGMODE_ROTATE,.5)}}if(pinch&&!swipe&&2==e.length&&touchId==e[0].identifier){let t=pinchDistance(e),i=t-pinchStart;zooming=!0,(i*=zoomPinchFactor)>zoomPinchCap&&(i=zoomPinchCap),i<-zoomPinchCap&&(i=-zoomPinchCap),zoomImage(i/size2),pinchStart=t,swipe=rotate=zooming=!1,setProjection(),redraw=!0}}function setBuffer(){positionBuffer=gl.createBuffer(),materialBuffer=gl.createBuffer(),colorBuffer=gl.createBuffer(),indexBuffer=gl.createBuffer(),indexExt=gl.getExtension("OES_element_index_uint")}let pixelShader,noNormalShader,materialShader,colorShader,transparentShader,zbuffer=[];function transformVertices(t){let e=viewMat[2],i=viewMat[6],r=viewMat[10];zbuffer.length=t.length;for(let a=0;a0){transformVertices(transparentData.vertices);let e=t.length/3,i=Array(e).fill().map((t,e)=>e);i.sort(function(e,i){let r=3*e;Ia=t[r],Ib=t[r+1],Ic=t[r+2];let a=3*i;return IA=t[a],IB=t[a+1],IC=t[a+2],zbuffer[Ia]+zbuffer[Ib]+zbuffer[Ic]maxViewportWidth&&(t=maxViewportWidth),e>maxViewportHeight&&(e=maxViewportHeight),shift.x*=t/canvasWidth,shift.y*=e/canvasHeight,canvasWidth=t,canvasHeight=e,setCanvas(),setViewport()}function expand(){setsize(canvasWidth*resizeStep+.5,canvasHeight*resizeStep+.5)}function shrink(){setsize(Math.max(canvasWidth/resizeStep+.5,1),Math.max(canvasHeight/resizeStep+.5,1))}function webGLStart(){if(canvas=document.getElementById("Asymptote"),absolute)canvasWidth*=window.devicePixelRatio,canvasHeight*=window.devicePixelRatio;else{0==canvas.width&&(canvas.width=Math.max(window.innerWidth-windowTrim,windowTrim)),0==canvas.height&&(canvas.height=Math.max(window.innerHeight-windowTrim,windowTrim));let t=canvasWidth/canvasHeight;canvas.width>canvas.height*t?canvas.width=Math.min(canvas.height*t,canvas.width):canvas.height=Math.min(canvas.width/t,canvas.height),canvas.width>0&&(canvasWidth=canvas.width),canvas.height>0&&(canvasHeight=canvas.height)}setCanvas(),ArcballFactor=1+8*Math.hypot(viewportmargin[0],viewportmargin[1])/size2,viewportshift[0]/=Zoom0,viewportshift[1]/=Zoom0,initGL(),gl.enable(gl.BLEND),gl.blendFunc(gl.SRC_ALPHA,gl.ONE_MINUS_SRC_ALPHA),gl.enable(gl.DEPTH_TEST),setViewport(),noNormalShader=initShader(),pixelShader=initShader(["WIDTH"]),materialShader=initShader(["NORMAL"]),colorShader=initShader(["NORMAL","COLOR"]),transparentShader=initShader(["NORMAL","COLOR","TRANSPARENT"]),setBuffer(),canvas.onmousedown=handleMouseDown,document.onmouseup=handleMouseUpOrTouchEnd,document.onmousemove=handleMouseMove,canvas.onkeydown=handleKey,canvas.addEventListener("wheel",handleMouseWheel,!1),canvas.addEventListener("touchstart",handleTouchStart,!1),canvas.addEventListener("touchend",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchcancel",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchleave",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchmove",handleTouchMove,!1),document.addEventListener("keydown",handleKey,!1),tick()} /*@license for gl-matrix mat3 and mat4 functions: Copyright (c) 2015, Brandon Jones, Colin MacKenzie IV. @@ -36,4 +35,5 @@ FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN -THE SOFTWARE.*/ \ No newline at end of file +THE SOFTWARE.*/ +let vertex="\nattribute vec3 position;\n#ifdef WIDTH\nattribute float width;\n#endif\n#ifdef NORMAL\nattribute vec3 normal;\n#endif\nattribute float materialIndex;\n#ifdef COLOR\nattribute vec4 color;\n#endif\n\nuniform mat3 normMat;\nuniform mat4 viewMat;\nuniform mat4 projViewMat;\n\n#ifdef NORMAL\n#ifndef ORTHOGRAPHIC\nvarying vec3 ViewPosition;\n#endif\nvarying vec3 Normal;\n#endif\nvarying vec4 diffuse;\nvarying vec3 specular;\nvarying float roughness,metallic,fresnel0;\nvarying vec4 emissive;\n\nstruct Material {\n vec4 diffuse,emissive,specular;\n vec4 parameters;\n};\n\nuniform Material Materials[Nmaterials];\n\nvoid main(void)\n{\n vec4 v=vec4(position,1.0);\n gl_Position=projViewMat*v;\n#ifdef NORMAL\n#ifndef ORTHOGRAPHIC\n ViewPosition=(viewMat*v).xyz;\n#endif \n Normal=normal*normMat;\n \n Material m;\n#ifdef TRANSPARENT\n m=Materials[int(abs(materialIndex))-1];\n if(materialIndex >= 0.0) {\n diffuse=m.diffuse;\n emissive=m.emissive;\n } else {\n diffuse=color;\n#if nlights > 0\n emissive=vec4(0.0);\n#else\n emissive=color;\n#endif\n }\n#else\n m=Materials[int(materialIndex)];\n#ifdef COLOR\n diffuse=color;\n#if nlights > 0\n emissive=vec4(0.0);\n#else\n emissive=color;\n#endif\n#else\n diffuse=m.diffuse;\n emissive=m.emissive;\n#endif\n#endif\n specular=m.specular.rgb;\n vec4 parameters=m.parameters;\n roughness=1.0-parameters[0];\n metallic=parameters[1];\n fresnel0=parameters[2];\n#else\n emissive=Materials[int(materialIndex)].emissive;\n#endif\n#ifdef WIDTH\n gl_PointSize=width;\n#endif\n}\n",fragment="\n#ifdef NORMAL\n#ifndef ORTHOGRAPHIC\nvarying vec3 ViewPosition;\n#endif\nvarying vec3 Normal;\nvarying vec4 diffuse;\nvarying vec3 specular;\nvarying float roughness,metallic,fresnel0;\n\nfloat Roughness2;\nvec3 normal;\n\nstruct Light {\n vec3 direction;\n vec3 color;\n};\n\nuniform Light Lights[Nlights];\n\nfloat NDF_TRG(vec3 h)\n{\n float ndoth=max(dot(normal,h),0.0);\n float alpha2=Roughness2*Roughness2;\n float denom=ndoth*ndoth*(alpha2-1.0)+1.0;\n return denom != 0.0 ? alpha2/(denom*denom) : 0.0;\n}\n \nfloat GGX_Geom(vec3 v)\n{\n float ndotv=max(dot(v,normal),0.0);\n float ap=1.0+Roughness2;\n float k=0.125*ap*ap;\n return ndotv/((ndotv*(1.0-k))+k);\n}\n \nfloat Geom(vec3 v, vec3 l)\n{\n return GGX_Geom(v)*GGX_Geom(l);\n}\n \nfloat Fresnel(vec3 h, vec3 v, float fresnel0)\n{\n float a=1.0-max(dot(h,v),0.0);\n float b=a*a;\n return fresnel0+(1.0-fresnel0)*b*b*a;\n}\n \n// physical based shading using UE4 model.\nvec3 BRDF(vec3 viewDirection, vec3 lightDirection)\n{\n vec3 lambertian=diffuse.rgb;\n vec3 h=normalize(lightDirection+viewDirection);\n \n float omegain=max(dot(viewDirection,normal),0.0);\n float omegali=max(dot(lightDirection,normal),0.0);\n \n float D=NDF_TRG(h);\n float G=Geom(viewDirection,lightDirection);\n float F=Fresnel(h,viewDirection,fresnel0);\n \n float denom=4.0*omegain*omegali;\n float rawReflectance=denom > 0.0 ? (D*G)/denom : 0.0;\n \n vec3 dielectric=mix(lambertian,rawReflectance*specular,F);\n vec3 metal=rawReflectance*diffuse.rgb;\n \n return mix(dielectric,metal,metallic);\n}\n#endif\nvarying vec4 emissive;\n \nvoid main(void)\n{\n#if defined(NORMAL) && nlights > 0\n normal=normalize(Normal);\n normal=gl_FrontFacing ? normal : -normal;\n#ifdef ORTHOGRAPHIC\n vec3 viewDir=vec3(0.0,0.0,1.0);\n#else\n vec3 viewDir=-normalize(ViewPosition);\n#endif\n Roughness2=roughness*roughness;\n vec3 color=emissive.rgb;\n for(int i=0; i < nlights; ++i) {\n Light Li=Lights[i];\n vec3 L=Li.direction;\n float cosTheta=max(dot(normal,L),0.0);\n vec3 radiance=cosTheta*Li.color;\n color += BRDF(viewDir,L)*radiance;\n }\n gl_FragColor=vec4(color,diffuse.a);\n#else\n gl_FragColor=emissive;\n#endif\n}\n";!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t();else if("function"==typeof define&&define.amd)define([],t);else{var i=t();for(var a in i)("object"==typeof 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e)Object.prototype.hasOwnProperty.call(e,i)&&(t[i]=e[i]);return t.default=e,t}(i(0))},function(e,t,i){"use strict";Object.defineProperty(t,"__esModule",{value:!0}),t.create=function(){var e=new a.ARRAY_TYPE(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},t.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},t.invert=function(e,t){var i=t[0],a=t[1],r=t[2],n=t[3],s=t[4],o=t[5],l=t[6],h=t[7],c=t[8],d=t[9],m=t[10],f=t[11],u=t[12],v=t[13],g=t[14],p=t[15],x=i*o-a*s,M=i*l-r*s,w=i*h-n*s,A=a*l-r*o,b=a*h-n*o,S=r*h-n*l,R=c*v-d*u,P=c*g-m*u,D=c*p-f*u,T=d*g-m*v,y=d*p-f*v,I=m*p-f*g,z=x*I-M*y+w*T+A*D-b*P+S*R;if(!z)return null;return z=1/z,e[0]=(o*I-l*y+h*T)*z,e[1]=(r*y-a*I-n*T)*z,e[2]=(v*S-g*b+p*A)*z,e[3]=(m*b-d*S-f*A)*z,e[4]=(l*D-s*I-h*P)*z,e[5]=(i*I-r*D+n*P)*z,e[6]=(g*w-u*S-p*M)*z,e[7]=(c*S-m*w+f*M)*z,e[8]=(s*y-o*D+h*R)*z,e[9]=(a*D-i*y-n*R)*z,e[10]=(u*b-v*w+p*x)*z,e[11]=(d*w-c*b-f*x)*z,e[12]=(o*P-s*T-l*R)*z,e[13]=(i*T-a*P+r*R)*z,e[14]=(v*M-u*A-g*x)*z,e[15]=(c*A-d*M+m*x)*z,e},t.multiply=r,t.translate=function(e,t,i){var a=i[0],r=i[1],n=i[2],s=void 0,o=void 0,l=void 0,h=void 0,c=void 0,d=void 0,m=void 0,f=void 0,u=void 0,v=void 0,g=void 0,p=void 0;t===e?(e[12]=t[0]*a+t[4]*r+t[8]*n+t[12],e[13]=t[1]*a+t[5]*r+t[9]*n+t[13],e[14]=t[2]*a+t[6]*r+t[10]*n+t[14],e[15]=t[3]*a+t[7]*r+t[11]*n+t[15]):(s=t[0],o=t[1],l=t[2],h=t[3],c=t[4],d=t[5],m=t[6],f=t[7],u=t[8],v=t[9],g=t[10],p=t[11],e[0]=s,e[1]=o,e[2]=l,e[3]=h,e[4]=c,e[5]=d,e[6]=m,e[7]=f,e[8]=u,e[9]=v,e[10]=g,e[11]=p,e[12]=s*a+c*r+u*n+t[12],e[13]=o*a+d*r+v*n+t[13],e[14]=l*a+m*r+g*n+t[14],e[15]=h*a+f*r+p*n+t[15]);return e},t.rotate=function(e,t,i,r){var n=r[0],s=r[1],o=r[2],l=Math.sqrt(n*n+s*s+o*o),h=void 0,c=void 0,d=void 0,m=void 0,f=void 0,u=void 0,v=void 0,g=void 0,p=void 0,x=void 0,M=void 0,w=void 0,A=void 0,b=void 0,S=void 0,R=void 0,P=void 0,D=void 0,T=void 0,y=void 0,I=void 0,z=void 0,O=void 0,E=void 0;if(Math.abs(l)gl.getUniformLocation(e,"Materials["+t+"]."+i);gl.uniform4fv(i("diffuse"),new Float32Array(this.diffuse)),gl.uniform4fv(i("emissive"),new Float32Array(this.emissive)),gl.uniform4fv(i("specular"),new Float32Array(this.specular)),gl.uniform4f(i("parameters"),this.shininess,this.metallic,this.fresnel0,0)}}let indexExt,enumPointLight=1,enumDirectionalLight=2;class Light{constructor(e,t){this.direction=e,this.color=t}setUniform(e,t){let i=i=>gl.getUniformLocation(e,"Lights["+t+"]."+i);gl.uniform3fv(i("direction"),new Float32Array(this.direction)),gl.uniform3fv(i("color"),new Float32Array(this.color))}}function initShaders(){let e=gl.getParameter(gl.MAX_VERTEX_UNIFORM_VECTORS);maxMaterials=Math.floor((e-14)/4),Nmaterials=Math.min(Math.max(Nmaterials,Materials.length),maxMaterials),noNormalShader=initShader(),pixelShader=initShader(["WIDTH"]),materialShader=initShader(["NORMAL"]),colorShader=initShader(["NORMAL","COLOR"]),transparentShader=initShader(["NORMAL","COLOR","TRANSPARENT"])}function setBuffers(){positionBuffer=gl.createBuffer(),materialBuffer=gl.createBuffer(),colorBuffer=gl.createBuffer(),indexBuffer=gl.createBuffer()}function noGL(){gl||alert("Could not initialize WebGL")}function saveAttributes(){let e=window.parent.document.asygl[alpha];e.gl=gl,e.nlights=Lights.length,e.Nmaterials=Nmaterials,e.maxMaterials=maxMaterials,e.noNormalShader=noNormalShader,e.pixelShader=pixelShader,e.materialShader=materialShader,e.colorShader=colorShader,e.transparentShader=transparentShader}function restoreAttributes(){let e=window.parent.document.asygl[alpha];gl=e.gl,nlights=e.nlights,Nmaterials=e.Nmaterials,maxMaterials=e.maxMaterials,noNormalShader=e.noNormalShader,pixelShader=e.pixelShader,materialShader=e.materialShader,colorShader=e.colorShader,transparentShader=e.transparentShader}function initGL(){if(alpha=Background[3]<1,embedded){let e=window.parent.document;null==e.asygl&&(e.asygl=Array(2)),context=canvas.getContext("2d"),(offscreen=e.offscreen)||(offscreen=e.createElement("canvas"),e.offscreen=offscreen),e.asygl[alpha]&&e.asygl[alpha].gl?(restoreAttributes(),(Lights.length!=nlights||Math.min(Materials.length,maxMaterials)>Nmaterials)&&(initShaders(),saveAttributes())):((gl=offscreen.getContext("webgl",{alpha:alpha}))||noGL(),initShaders(),e.asygl[alpha]={},saveAttributes())}else(gl=canvas.getContext("webgl",{alpha:alpha}))||noGL(),initShaders();setBuffers(),indexExt=gl.getExtension("OES_element_index_uint")}function getShader(e,t,i,a=[]){let r=`#version 100\n#ifdef GL_FRAGMENT_PRECISION_HIGH\n precision highp float;\n#else\n precision mediump float;\n#endif\n #define nlights ${Lights.length}\n\n const int Nlights=${Math.max(Lights.length,1)};\n\n #define Nmaterials ${Nmaterials}\n`;orthographic&&(r+="#define ORTHOGRAPHIC\n"),a.forEach(e=>r+="#define "+e+"\n");let n=e.createShader(i);return e.shaderSource(n,r+t),e.compileShader(n),e.getShaderParameter(n,e.COMPILE_STATUS)?n:(alert(e.getShaderInfoLog(n)),null)}function drawBuffer(e,t,i=e.indices){if(0==e.indices.length)return;let a=t==pixelShader,r=t!=noNormalShader&&!a;setUniforms(e,t),gl.bindBuffer(gl.ARRAY_BUFFER,positionBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Float32Array(e.vertices),gl.STATIC_DRAW),gl.vertexAttribPointer(t.vertexPositionAttribute,3,gl.FLOAT,!1,r?24:a?16:12,0),r&&Lights.length>0?gl.vertexAttribPointer(t.vertexNormalAttribute,3,gl.FLOAT,!1,24,12):a&&gl.vertexAttribPointer(t.vertexWidthAttribute,1,gl.FLOAT,!1,16,12),-1!=t.vertexMaterialAttribute&&(gl.bindBuffer(gl.ARRAY_BUFFER,materialBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Int16Array(e.materialIndices),gl.STATIC_DRAW),gl.vertexAttribPointer(t.vertexMaterialAttribute,1,gl.SHORT,!1,2,0)),t!=colorShader&&t!=transparentShader||(gl.bindBuffer(gl.ARRAY_BUFFER,colorBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Uint8Array(e.colors),gl.STATIC_DRAW),gl.vertexAttribPointer(t.vertexColorAttribute,4,gl.UNSIGNED_BYTE,!0,0,0)),gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER,indexBuffer),gl.bufferData(gl.ELEMENT_ARRAY_BUFFER,indexExt?new Uint32Array(i):new Uint16Array(i),gl.STATIC_DRAW),gl.drawElements(r?gl.TRIANGLES:a?gl.POINTS:gl.LINES,i.length,indexExt?gl.UNSIGNED_INT:gl.UNSIGNED_SHORT,0),embedded&&context.drawImage(offscreen,0,0)}class vertexBuffer{constructor(){this.clear()}clear(){this.vertices=[],this.materialIndices=[],this.colors=[],this.indices=[],this.nvertices=0,this.materials=[],this.materialTable=[]}vertex(e,t){return this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.materialIndices.push(materialIndex),this.nvertices++}Vertex(e,t,i=[0,0,0,0]){return this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.materialIndices.push(materialIndex),this.colors.push(i[0]),this.colors.push(i[1]),this.colors.push(i[2]),this.colors.push(i[3]),this.nvertices++}vertex1(e){return this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.materialIndices.push(materialIndex),this.nvertices++}vertex0(e,t){return this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.vertices.push(t),this.materialIndices.push(materialIndex),this.nvertices++}iVertex(e,t,i,a=[0,0,0,0]){let r=6*e;this.vertices[r]=t[0],this.vertices[r+1]=t[1],this.vertices[r+2]=t[2],this.vertices[r+3]=i[0],this.vertices[r+4]=i[1],this.vertices[r+5]=i[2],this.materialIndices[e]=materialIndex;let n=4*e;this.colors[n]=a[0],this.colors[n+1]=a[1],this.colors[n+2]=a[2],this.colors[n+3]=a[3],this.indices.push(e)}append(e){append(this.vertices,e.vertices),append(this.materialIndices,e.materialIndices),append(this.colors,e.colors),appendOffset(this.indices,e.indices,this.nvertices),this.nvertices+=e.nvertices}}let materialIndex,material0Data=new vertexBuffer,material1Data=new vertexBuffer,materialData=new vertexBuffer,colorData=new vertexBuffer,transparentData=new vertexBuffer,triangleData=new vertexBuffer;function append(e,t){let i=e.length,a=t.length;e.length+=a;for(let r=0;rthis.X&&(this.X=l),hthis.Y&&(this.Y=h)}return(this.X<-1.01||this.x>1.01||this.Y<-1.01||this.y>1.01)&&(this.Onscreen=!1,!0)}T(e){let t=this.c[0],i=this.c[1],a=this.c[2],r=e[0]-t,n=e[1]-i,s=e[2]-a;return[r*normMat[0]+n*normMat[3]+s*normMat[6]+t,r*normMat[1]+n*normMat[4]+s*normMat[7]+i,r*normMat[2]+n*normMat[5]+s*normMat[8]+a]}Tcorners(e,t){return[this.T(e),this.T([e[0],e[1],t[2]]),this.T([e[0],t[1],e[2]]),this.T([e[0],t[1],t[2]]),this.T([t[0],e[1],e[2]]),this.T([t[0],e[1],t[2]]),this.T([t[0],t[1],e[2]]),this.T(t)]}setMaterial(e,t){null==e.materialTable[this.MaterialIndex]&&(e.materials.length>=Nmaterials&&t(),e.materialTable[this.MaterialIndex]=e.materials.length,e.materials.push(Materials[this.MaterialIndex])),materialIndex=e.materialTable[this.MaterialIndex]}render(){let e;if(this.setMaterialIndex(),0==this.CenterIndex?e=corners(this.Min,this.Max):(this.c=Centers[this.CenterIndex-1],e=this.Tcorners(this.Min,this.Max)),this.offscreen(e))return void this.data.clear();let t,i=this.controlpoints;if(0==this.CenterIndex){if(!remesh&&this.Onscreen)return void this.append();t=i}else{let e=i.length;t=Array(e);for(let a=0;a0&&this.append()}append(){this.transparent?transparentData.append(this.data):this.color?colorData.append(this.data):materialData.append(this.data)}Render(e,t,i,a,r,n,s,o,l,h,c,d,m,f,u,v,g){if(this.Distance(e)0&&this.append()}Render3(e,t,i,a,r,n,s,o,l,h,c,d,m){if(this.Distance3(e)this.epsilon)return r;let n=bezierPP(e,t,i);return abs2(n)>this.epsilon?n:bezierPPP(e,t,i,a)}sumderivative(e,t,i,a,r,n,s){let o=this.derivative(e,t,i,a),l=this.derivative(e,r,n,s);return[o[0]+l[0],o[1]+l[1],o[2]+l[2]]}normal(e,t,i,a,r,n,s){let o=r[0]-a[0],l=r[1]-a[1],h=r[2]-a[2],c=i[0]-a[0],d=i[1]-a[1],m=i[2]-a[2],f=[l*m-h*d,h*c-o*m,o*d-l*c];if(abs2(f)>this.epsilon)return unit(f);let u=[c,d,m],v=[o,l,h],g=bezierPP(a,i,t),p=bezierPP(a,r,n),x=cross(p,u),M=cross(v,g);if(abs2(f=[x[0]+M[0],x[1]+M[1],x[2]+M[2]])>this.epsilon)return unit(f);let w=bezierPPP(a,i,t,e),A=bezierPPP(a,r,n,s);x=cross(p,g),M=cross(v,w);let b=cross(A,u),S=cross(A,g),R=cross(p,w),P=cross(A,w);return unit([9*x[0]+3*(M[0]+b[0]+S[0]+R[0])+P[0],9*x[1]+3*(M[1]+b[1]+S[1]+R[1])+P[1],9*x[2]+3*(M[2]+b[2]+S[2]+R[2])+P[2]])}}class BezierCurve extends Geometry{constructor(e,t,i,a,r){super(),this.controlpoints=e,this.Min=a,this.Max=r,this.CenterIndex=t,this.MaterialIndex=i}setMaterialIndex(){this.setMaterial(material1Data,drawMaterial1)}processLine(e){let t=e[0],i=e[1];this.offscreen([t,i])||(this.data.indices.push(this.data.vertex1(t)),this.data.indices.push(this.data.vertex1(i)),this.append())}process(e){if(2==e.length)return this.processLine(e);let t=this.data.vertex1(e[0]),i=this.data.vertex1(e[3]);this.Render(e,t,i),this.data.indices.length>0&&this.append()}append(){material1Data.append(this.data)}Render(e,t,i){let a=e[0],r=e[1],n=e[2],s=e[3];if(Straightness(a,r,n,s)0?-1-materialIndex:1+materialIndex;for(let e=0,t=this.Indices.length;e1?t[1]:i;if(e&&0!=e.length||(e=i),this.Colors.length>0){let s=t.length>2?t[2]:i;s&&0!=s.length||(s=i);let o=this.Colors[s[0]],l=this.Colors[s[1]],h=this.Colors[s[2]];this.transparent|=o[3]+l[3]+h[3]<765,this.data.iVertex(i[0],a,this.Normals[e[0]],o),this.data.iVertex(i[1],r,this.Normals[e[1]],l),this.data.iVertex(i[2],n,this.Normals[e[2]],h)}else this.data.iVertex(i[0],a,this.Normals[e[0]]),this.data.iVertex(i[1],r,this.Normals[e[1]]),this.data.iVertex(i[2],n,this.Normals[e[2]])}}this.data.nvertices=this.Positions.length,this.data.indices.length>0&&this.append()}append(){this.transparent?transparentData.append(this.data):triangleData.append(this.data)}}function home(){mat4.identity(rotMat),initProjection(),setProjection(),remesh=!0,redraw=!0}function initShader(e=[]){let t=getShader(gl,vertex,gl.VERTEX_SHADER,e),i=getShader(gl,fragment,gl.FRAGMENT_SHADER,e),a=gl.createProgram();return gl.attachShader(a,t),gl.attachShader(a,i),gl.linkProgram(a),gl.getProgramParameter(a,gl.LINK_STATUS)||alert("Could not initialize shaders"),a}class Split3{constructor(e,t,i,a){this.m0=[.5*(e[0]+t[0]),.5*(e[1]+t[1]),.5*(e[2]+t[2])];let r=.5*(t[0]+i[0]),n=.5*(t[1]+i[1]),s=.5*(t[2]+i[2]);this.m2=[.5*(i[0]+a[0]),.5*(i[1]+a[1]),.5*(i[2]+a[2])],this.m3=[.5*(this.m0[0]+r),.5*(this.m0[1]+n),.5*(this.m0[2]+s)],this.m4=[.5*(r+this.m2[0]),.5*(n+this.m2[1]),.5*(s+this.m2[2])],this.m5=[.5*(this.m3[0]+this.m4[0]),.5*(this.m3[1]+this.m4[1]),.5*(this.m3[2]+this.m4[2])]}}function iszero(e){return 0==e[0]&&0==e[1]&&0==e[2]}function unit(e){let t=1/(Math.sqrt(e[0]*e[0]+e[1]*e[1]+e[2]*e[2])||1);return[e[0]*t,e[1]*t,e[2]*t]}function abs2(e){return e[0]*e[0]+e[1]*e[1]+e[2]*e[2]}function dot(e,t){return e[0]*t[0]+e[1]*t[1]+e[2]*t[2]}function cross(e,t){return[e[1]*t[2]-e[2]*t[1],e[2]*t[0]-e[0]*t[2],e[0]*t[1]-e[1]*t[0]]}function bezierPP(e,t,i){return[e[0]+i[0]-2*t[0],e[1]+i[1]-2*t[1],e[2]+i[2]-2*t[2]]}function bezierPPP(e,t,i,a){return[a[0]-e[0]+3*(t[0]-i[0]),a[1]-e[1]+3*(t[1]-i[1]),a[2]-e[2]+3*(t[2]-i[2])]}function Straightness(e,t,i,a){let r=[third*(a[0]-e[0]),third*(a[1]-e[1]),third*(a[2]-e[2])];return Math.max(abs2([t[0]-r[0]-e[0],t[1]-r[1]-e[1],t[2]-r[2]-e[2]]),abs2([a[0]-r[0]-i[0],a[1]-r[1]-i[1],a[2]-r[2]-i[2]]))}function Distance2(e,t,i){let a=dot([e[0]-t[0],e[1]-t[1],e[2]-t[2]],i);return a*a}function corners(e,t){return[e,[e[0],e[1],t[2]],[e[0],t[1],e[2]],[e[0],t[1],t[2]],[t[0],e[1],e[2]],[t[0],e[1],t[2]],[t[0],t[1],e[2]],t]}function COBTarget(e,t){mat4.fromTranslation(translMat,[center.x,center.y,center.z]),mat4.invert(cjMatInv,translMat),mat4.multiply(e,t,cjMatInv),mat4.multiply(e,translMat,e)}function setUniforms(e,t){let i=t==pixelShader;gl.useProgram(t),t.vertexPositionAttribute=gl.getAttribLocation(t,"position"),gl.enableVertexAttribArray(t.vertexPositionAttribute),i&&(t.vertexWidthAttribute=gl.getAttribLocation(t,"width"),gl.enableVertexAttribArray(t.vertexWidthAttribute));let a=t!=noNormalShader&&!i&&Lights.length>0;if(a&&(t.vertexNormalAttribute=gl.getAttribLocation(t,"normal"),gl.enableVertexAttribArray(t.vertexNormalAttribute)),t.vertexMaterialAttribute=gl.getAttribLocation(t,"materialIndex"),-1!=t.vertexMaterialAttribute&&gl.enableVertexAttribArray(t.vertexMaterialAttribute),t.projViewMatUniform=gl.getUniformLocation(t,"projViewMat"),t.viewMatUniform=gl.getUniformLocation(t,"viewMat"),t.normMatUniform=gl.getUniformLocation(t,"normMat"),t!=colorShader&&t!=transparentShader||(t.vertexColorAttribute=gl.getAttribLocation(t,"color"),gl.enableVertexAttribArray(t.vertexColorAttribute)),a)for(let e=0;e=e&&(Zoom=e),Zoom!=lastzoom&&(remesh=!0),lastzoom=Zoom}function zoomImage(e){let t=zoomStep*halfCanvasHeight*e;const i=Math.log(.1*Number.MAX_VALUE)/Math.log(zoomFactor);Math.abs(t)1&&(denom=1/a,t*=denom,i*=denom),[t,i,Math.sqrt(Math.max(1-i*i-t*t,0))]}function arcball(e,t){let i=normMouse(e),a=normMouse(t),r=dot(i,a);return r>1?r=1:r<-1&&(r=-1),[Math.acos(r),unit(cross(i,a))]}function zoomScene(e,t,i,a){zoomImage(t-a)}const DRAGMODE_ROTATE=1,DRAGMODE_SHIFT=2,DRAGMODE_ZOOM=3,DRAGMODE_PAN=4;function processDrag(e,t,i,a=1){let r;switch(i){case DRAGMODE_ROTATE:r=rotateScene;break;case DRAGMODE_SHIFT:r=shiftScene;break;case DRAGMODE_ZOOM:r=zoomScene;break;case DRAGMODE_PAN:r=panScene;break;default:r=((e,t,i,a)=>{})}r((lastMouseX-halfCanvasWidth)/halfCanvasWidth,(lastMouseY-halfCanvasHeight)/halfCanvasHeight,(e-halfCanvasWidth)/halfCanvasWidth,(t-halfCanvasHeight)/halfCanvasHeight,a),lastMouseX=e,lastMouseY=t,setProjection(),redraw=!0}function handleKey(e){let t=[];switch(e.key){case"x":t=[1,0,0];break;case"y":t=[0,1,0];break;case"z":t=[0,0,1];break;case"h":home();break;case"+":case"=":case">":expand();break;case"-":case"_":case"<":shrink()}t.length>0&&(mat4.rotate(rotMat,rotMat,.1,t),updateViewMatrix(),redraw=!0)}function handleMouseWheel(e){e.preventDefault(),e.deltaY<0?Zoom*=zoomFactor:Zoom/=zoomFactor,capzoom(),setProjection(),redraw=!0}function handleMouseMove(e){if(!mouseDownOrTouchActive)return;let t;processDrag(e.clientX,e.clientY,t=e.getModifierState("Control")?DRAGMODE_SHIFT:e.getModifierState("Shift")?DRAGMODE_ZOOM:e.getModifierState("Alt")?DRAGMODE_PAN:DRAGMODE_ROTATE)}let zooming=!1,swipe=!1,rotate=!1;function handleTouchMove(e){if(e.preventDefault(),zooming)return;let t=e.targetTouches;if(!pinch&&1==t.length&&touchId==t[0].identifier){let e=t[0].pageX,i=t[0].pageY,a=e-lastMouseX,r=i-lastMouseY,n=a*a+r*r<=shiftHoldDistance*shiftHoldDistance;if(n&&!swipe&&!rotate&&(new Date).getTime()-touchStartTime>shiftWaitTime&&(navigator.vibrate&&window.navigator.vibrate(vibrateTime),swipe=!0),swipe)processDrag(e,i,DRAGMODE_SHIFT);else if(!n){rotate=!0,processDrag(t[0].pageX,t[0].pageY,DRAGMODE_ROTATE,.5)}}if(pinch&&!swipe&&2==t.length&&touchId==t[0].identifier){let e=pinchDistance(t),i=e-pinchStart;zooming=!0,(i*=zoomPinchFactor)>zoomPinchCap&&(i=zoomPinchCap),i<-zoomPinchCap&&(i=-zoomPinchCap),zoomImage(i/size2),pinchStart=e,swipe=rotate=zooming=!1,setProjection(),redraw=!0}}let pixelShader,noNormalShader,materialShader,colorShader,transparentShader,zbuffer=[];function transformVertices(e){let t=viewMat[2],i=viewMat[6],a=viewMat[10];zbuffer.length=e.length;for(let r=0;r0){transformVertices(transparentData.vertices);let t=e.length/3,i=Array(t).fill().map((e,t)=>t);i.sort(function(t,i){let a=3*t;Ia=e[a],Ib=e[a+1],Ic=e[a+2];let r=3*i;return IA=e[r],IB=e[r+1],IC=e[r+2],zbuffer[Ia]+zbuffer[Ib]+zbuffer[Ic]maxViewportWidth&&(e=maxViewportWidth),t>maxViewportHeight&&(t=maxViewportHeight),shift.x*=e/canvasWidth,shift.y*=t/canvasHeight,canvasWidth=e,canvasHeight=t,setCanvas(),setViewport(),home()}function expand(){setsize(canvasWidth*resizeStep+.5,canvasHeight*resizeStep+.5)}function shrink(){setsize(Math.max(canvasWidth/resizeStep+.5,1),Math.max(canvasHeight/resizeStep+.5,1))}function webGLStart(){if(canvas=document.getElementById("Asymptote"),embedded=window.parent.document!=document,initGL(),absolute&&!embedded)canvasWidth*=window.devicePixelRatio,canvasHeight*=window.devicePixelRatio;else{0==canvas.width&&(canvas.width=Math.max(window.innerWidth-windowTrim,windowTrim)),0==canvas.height&&(canvas.height=Math.max(window.innerHeight-windowTrim,windowTrim));let e=canvasWidth/canvasHeight;canvas.width>canvas.height*e?canvas.width=Math.min(canvas.height*e,canvas.width):canvas.height=Math.min(canvas.width/e,canvas.height),canvas.width>0&&(canvasWidth=canvas.width),canvas.height>0&&(canvasHeight=canvas.height)}setCanvas(),ArcballFactor=1+8*Math.hypot(viewportmargin[0],viewportmargin[1])/size2,viewportshift[0]/=Zoom0,viewportshift[1]/=Zoom0,gl.enable(gl.BLEND),gl.blendFunc(gl.SRC_ALPHA,gl.ONE_MINUS_SRC_ALPHA),gl.enable(gl.DEPTH_TEST),gl.enable(gl.SCISSOR_TEST),setViewport(),home(),canvas.onmousedown=handleMouseDown,document.onmouseup=handleMouseUpOrTouchEnd,document.onmousemove=handleMouseMove,canvas.onkeydown=handleKey,canvas.addEventListener("wheel",handleMouseWheel,!1),canvas.addEventListener("touchstart",handleTouchStart,!1),canvas.addEventListener("touchend",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchcancel",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchleave",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchmove",handleTouchMove,!1),document.addEventListener("keydown",handleKey,!1),tick()} 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