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NewEduCoderBuild/1009.7ba7de92.async.js

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i=0;i<T.columns;i++)T.set(c,i,T.get(c,i)-u[i])}function ue(T,u){for(let c=0;c<T.rows;c++)for(let i=0;i<T.columns;i++)T.set(c,i,T.get(c,i)-u)}function he(T){const u=[];for(let c=0;c<T.rows;c++){let i=0;for(let l=0;l<T.columns;l++)i+=b(T.get(c,l),2)/(T.columns-1);u.push(Math.sqrt(i))}return u}function Ie(T,u){for(let c=0;c<T.rows;c++)for(let i=0;i<T.columns;i++)T.set(c,i,T.get(c,i)/u[c])}function pn(T){const u=[];for(let c=0;c<T.columns;c++){let i=0;for(let l=0;l<T.rows;l++)i+=b(T.get(l,c),2)/(T.rows-1);u.push(Math.sqrt(i))}return u}function De(T,u){for(let c=0;c<T.rows;c++)for(let i=0;i<T.columns;i++)T.set(c,i,T.get(c,i)/u[i])}function Me(T){const u=T.size-1;let c=0;for(let i=0;i<T.columns;i++)for(let l=0;l<T.rows;l++)c+=b(T.get(l,i),2)/u;return Math.sqrt(c)}function se(T,u){for(let c=0;c<T.rows;c++)for(let i=0;i<T.columns;i++)T.set(c,i,T.get(c,i)/u)}class Wt{static from1DArray(u,c,i){if(u*c!==i.length)throw new RangeError("data length does not match given dimensions");let m=new It(u,c);for(let B=0;B<u;B++)for(let U=0;U<c;U++)m.set(B,U,i[B*c+U]);return m}static rowVector(u){let c=new It(1,u.length);for(let i=0;i<u.length;i++)c.set(0,i,u[i]);return c}static columnVector(u){let c=new It(u.length,1);for(let i=0;i<u.length;i++)c.set(i,0,u[i]);return c}static zeros(u,c){return new It(u,c)}static ones(u,c){return new It(u,c).fill(1)}static rand(u,c,i={}){if(typeof i!="object")throw new TypeError("options must be an object");const{random:l=Math.random}=i;let m=new It(u,c);for(let B=0;B<u;B++)for(let U=0;U<c;U++)m.set(B,U,l());return m}static randInt(u,c,i={}){if(typeof i!="object")throw new TypeError("options must be an object");const{min:l=0,max:m=1e3,random:B=Math.random}=i;if(!Number.isInteger(l))throw new TypeError("min must be an integer");if(!Number.isInteger(m))throw new TypeError("max must be an integer");if(l>=m)throw new RangeError("min must be smaller than max");let U=m-l,V=new It(u,c);for(let G=0;G<u;G++)for(let rt=0;rt<c;rt++){let K=l+Math.round(B()*U);V.set(G,rt,K)}return V}static eye(u,c,i){c===void 0&&(c=u),i===void 0&&(i=1);let l=Math.min(u,c),m=this.zeros(u,c);for(let B=0;B<l;B++)m.set(B,B,i);return m}static diag(u,c,i){let l=u.length;c===void 0&&(c=l),i===void 0&&(i=c);let m=Math.min(l,c,i),B=this.zeros(c,i);for(let U=0;U<m;U++)B.set(U,U,u[U]);return B}static min(u,c){u=this.checkMatrix(u),c=this.checkMatrix(c);let i=u.rows,l=u.columns,m=new It(i,l);for(let B=0;B<i;B++)for(let U=0;U<l;U++)m.set(B,U,Math.min(u.get(B,U),c.get(B,U)));return m}static max(u,c){u=this.checkMatrix(u),c=this.checkMatrix(c);let i=u.rows,l=u.columns,m=new this(i,l);for(let B=0;B<i;B++)for(let U=0;U<l;U++)m.set(B,U,Math.max(u.get(B,U),c.get(B,U)));return m}static checkMatrix(u){return Wt.isMatrix(u)?u:new It(u)}static isMatrix(u){return u!=null&&u.klass==="Matrix"}get size(){return this.rows*this.columns}apply(u){if(typeof u!="function")throw new TypeError("callback must be a function");for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)u.call(this,c,i);return this}to1DArray(){let u=[];for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)u.push(this.get(c,i));return u}to2DArray(){let u=[];for(let c=0;c<this.rows;c++){u.push([]);for(let i=0;i<this.columns;i++)u[c].push(this.get(c,i))}return u}toJSON(){return this.to2DArray()}isRowVector(){return this.rows===1}isColumnVector(){return this.columns===1}isVector(){return this.rows===1||this.columns===1}isSquare(){return this.rows===this.columns}isEmpty(){return this.rows===0||this.columns===0}isSymmetric(){if(this.isSquare()){for(let u=0;u<this.rows;u++)for(let c=0;c<=u;c++)if(this.get(u,c)!==this.get(c,u))return!1;return!0}return!1}isDistance(){if(!this.isSymmetric())return!1;for(let u=0;u<this.rows;u++)if(this.get(u,u)!==0)return!1;return!0}isEchelonForm(){let u=0,c=0,i=-1,l=!0,m=!1;for(;u<this.rows&&l;){for(c=0,m=!1;c<this.columns&&m===!1;)this.get(u,c)===0?c++:this.get(u,c)===1&&c>i?(m=!0,i=c):(l=!1,m=!0);u++}return l}isReducedEchelonForm(){let u=0,c=0,i=-1,l=!0,m=!1;for(;u<this.rows&&l;){for(c=0,m=!1;c<this.columns&&m===!1;)this.get(u,c)===0?c++:this.get(u,c)===1&&c>i?(m=!0,i=c):(l=!1,m=!0);for(let B=c+1;B<this.rows;B++)this.get(u,B)!==0&&(l=!1);u++}return l}echelonForm(){let u=this.clone(),c=0,i=0;for(;c<u.rows&&i<u.columns;){let l=c;for(let m=c;m<u.rows;m++)u.get(m,i)>u.get(l,i)&&(l=m);if(u.get(l,i)===0)i++;else{u.swapRows(c,l);let m=u.get(c,i);for(let B=i;B<u.columns;B++)u.set(c,B,u.get(c,B)/m);for(let B=c+1;B<u.rows;B++){let U=u.get(B,i)/u.get(c,i);u.set(B,i,0);for(let V=i+1;V<u.columns;V++)u.set(B,V,u.get(B,V)-u.get(c,V)*U)}c++,i++}}return u}reducedEchelonForm(){let u=this.echelonForm(),c=u.columns,i=u.rows,l=i-1;for(;l>=0;)if(u.maxRow(l)===0)l--;else{let m=0,B=!1;for(;m<i&&B===!1;)u.get(l,m)===1?B=!0:m++;for(let U=0;U<l;U++){let V=u.get(U,m);for(let G=m;G<c;G++){let rt=u.get(U,G)-V*u.get(l,G);u.set(U,G,rt)}}l--}return u}set(){throw new Error("set method is unimplemented")}get(){throw new 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c=[];for(let i=0;i<this.rows;i++)c.push(this.get(i,u));return c}getColumnVector(u){return It.columnVector(this.getColumn(u))}setColumn(u,c){yt(this,u),c=Ot(this,c);for(let i=0;i<this.rows;i++)this.set(i,u,c[i]);return this}swapColumns(u,c){yt(this,u),yt(this,c);for(let i=0;i<this.rows;i++){let l=this.get(i,u);this.set(i,u,this.get(i,c)),this.set(i,c,l)}return this}addRowVector(u){u=Nt(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)+u[i]);return this}subRowVector(u){u=Nt(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)-u[i]);return this}mulRowVector(u){u=Nt(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)*u[i]);return this}divRowVector(u){u=Nt(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)/u[i]);return this}addColumnVector(u){u=Ot(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)+u[c]);return this}subColumnVector(u){u=Ot(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)-u[c]);return this}mulColumnVector(u){u=Ot(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)*u[c]);return this}divColumnVector(u){u=Ot(this,u);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)this.set(c,i,this.get(c,i)/u[c]);return this}mulRow(u,c){xt(this,u);for(let i=0;i<this.columns;i++)this.set(u,i,this.get(u,i)*c);return this}mulColumn(u,c){yt(this,u);for(let i=0;i<this.rows;i++)this.set(i,u,this.get(i,u)*c);return this}max(u){if(this.isEmpty())return NaN;switch(u){case"row":{const c=new Array(this.rows).fill(Number.NEGATIVE_INFINITY);for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)>c[i]&&(c[i]=this.get(i,l));return c}case"column":{const c=new Array(this.columns).fill(Number.NEGATIVE_INFINITY);for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)>c[l]&&(c[l]=this.get(i,l));return c}case void 0:{let c=this.get(0,0);for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)>c&&(c=this.get(i,l));return c}default:throw new Error(`invalid option: ${u}`)}}maxIndex(){Ye(this);let u=this.get(0,0),c=[0,0];for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)>u&&(u=this.get(i,l),c[0]=i,c[1]=l);return c}min(u){if(this.isEmpty())return NaN;switch(u){case"row":{const c=new Array(this.rows).fill(Number.POSITIVE_INFINITY);for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)<c[i]&&(c[i]=this.get(i,l));return c}case"column":{const c=new Array(this.columns).fill(Number.POSITIVE_INFINITY);for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)<c[l]&&(c[l]=this.get(i,l));return c}case void 0:{let c=this.get(0,0);for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)<c&&(c=this.get(i,l));return c}default:throw new Error(`invalid option: ${u}`)}}minIndex(){Ye(this);let u=this.get(0,0),c=[0,0];for(let i=0;i<this.rows;i++)for(let l=0;l<this.columns;l++)this.get(i,l)<u&&(u=this.get(i,l),c[0]=i,c[1]=l);return c}maxRow(u){if(xt(this,u),this.isEmpty())return NaN;let c=this.get(u,0);for(let i=1;i<this.columns;i++)this.get(u,i)>c&&(c=this.get(u,i));return c}maxRowIndex(u){xt(this,u),Ye(this);let c=this.get(u,0),i=[u,0];for(let l=1;l<this.columns;l++)this.get(u,l)>c&&(c=this.get(u,l),i[1]=l);return i}minRow(u){if(xt(this,u),this.isEmpty())return NaN;let c=this.get(u,0);for(let i=1;i<this.columns;i++)this.get(u,i)<c&&(c=this.get(u,i));return c}minRowIndex(u){xt(this,u),Ye(this);let c=this.get(u,0),i=[u,0];for(let l=1;l<this.columns;l++)this.get(u,l)<c&&(c=this.get(u,l),i[1]=l);return i}maxColumn(u){if(yt(this,u),this.isEmpty())return NaN;let c=this.get(0,u);for(let i=1;i<this.rows;i++)this.get(i,u)>c&&(c=this.get(i,u));return c}maxColumnIndex(u){yt(this,u),Ye(this);let c=this.get(0,u),i=[0,u];for(let l=1;l<this.rows;l++)this.get(l,u)>c&&(c=this.get(l,u),i[0]=l);return i}minColumn(u){if(yt(this,u),this.isEmpty())return NaN;let c=this.get(0,u);for(let i=1;i<this.rows;i++)this.get(i,u)<c&&(c=this.get(i,u));return c}minColumnIndex(u){yt(this,u),Ye(this);let c=this.get(0,u),i=[0,u];for(let l=1;l<this.rows;l++)this.get(l,u)<c&&(c=this.get(l,u),i[0]=l);return i}diag(){let u=Math.min(this.rows,this.columns),c=[];for(let i=0;i<u;i++)c.push(this.get(i,i));return c}norm(u="frobenius"){switch(u){case"max":return this.max();case"frobenius":return Math.sqrt(this.dot(this));default:throw new RangeError(`unknown norm type: ${u}`)}}cumulativeSum(){let u=0;for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)u+=this.get(c,i),this.set(c,i,u);return this}dot(u){Wt.isMatrix(u)&&(u=u.to1DArray());let c=this.to1DArray();if(c.length!==u.length)throw new RangeError("vectors do not have the same size");let i=0;for(let l=0;l<c.length;l++)i+=c[l]*u[l];return i}mmul(u){u=It.checkMatrix(u);let c=this.rows,i=this.columns,l=u.columns,m=new It(c,l),B=new Float64Array(i);for(let U=0;U<l;U++){for(let V=0;V<i;V++)B[V]=u.get(V,U);for(let V=0;V<c;V++){let G=0;for(let rt=0;rt<i;rt++)G+=this.get(V,rt)*B[rt];m.set(V,U,G)}}return m}mpow(u){if(!this.isSquare())throw new RangeError("Matrix must be square");if(!Number.isInteger(u)||u<0)throw new RangeError("Exponent must be a non-negative integer");let c=It.eye(this.rows),i=this;for(let l=u;l>=1;l/=2)l&1&&(c=c.mmul(i)),i=i.mmul(i);return c}strassen2x2(u){u=It.checkMatrix(u);let c=new It(2,2);const i=this.get(0,0),l=u.get(0,0),m=this.get(0,1),B=u.get(0,1),U=this.get(1,0),V=u.get(1,0),G=this.get(1,1),rt=u.get(1,1),K=(i+G)*(l+rt),lt=(U+G)*l,Tt=i*(B-rt),ct=G*(V-l),pt=(i+m)*rt,Rt=(U-i)*(l+B),Z=(m-G)*(V+rt),St=K+ct-pt+Z,Ct=Tt+pt,Xt=lt+ct,Zt=K-lt+Tt+Rt;return c.set(0,0,St),c.set(0,1,Ct),c.set(1,0,Xt),c.set(1,1,Zt),c}strassen3x3(u){u=It.checkMatrix(u);let c=new It(3,3);const i=this.get(0,0),l=this.get(0,1),m=this.get(0,2),B=this.get(1,0),U=this.get(1,1),V=this.get(1,2),G=this.get(2,0),rt=this.get(2,1),K=this.get(2,2),lt=u.get(0,0),Tt=u.get(0,1),ct=u.get(0,2),pt=u.get(1,0),Rt=u.get(1,1),Z=u.get(1,2),St=u.get(2,0),Ct=u.get(2,1),Xt=u.get(2,2),Zt=(i+l+m-B-U-rt-K)*Rt,ge=(i-B)*(-Tt+Rt),Ut=U*(-lt+Tt+pt-Rt-Z-St+Xt),Yt=(-i+B+U)*(lt-Tt+Rt),ce=(B+U)*(-lt+Tt),tt=i*lt,wt=(-i+G+rt)*(lt-ct+Z),Lt=(-i+G)*(ct-Z),Mt=(G+rt)*(-lt+ct),we=(i+l+m-U-V-G-rt)*Z,ae=rt*(-lt+ct+pt-Rt-Z-St+Ct),fe=(-m+rt+K)*(Rt+St-Ct),pe=(m-K)*(Rt-Ct),Re=m*St,_e=(rt+K)*(-St+Ct),Se=(-m+U+V)*(Z+St-Xt),Je=(m-V)*(Z-Xt),Qe=(U+V)*(-St+Xt),te=l*pt,Le=V*Ct,Ue=B*ct,Ve=G*Tt,Oe=K*Xt,xr=tt+Re+te,Er=Zt+Yt+ce+tt+fe+Re+_e,Hn=tt+wt+Mt+we+Re+Se+Qe,br=ge+Ut+Yt+tt+Re+Se+Je,qn=ge+Yt+ce+tt+Le,Nr=Re+Se+Je+Qe+Ue,Mr=tt+wt+Lt+ae+fe+pe+Re,Sr=fe+pe+Re+_e+Ve,tr=tt+wt+Lt+Mt+Oe;return c.set(0,0,xr),c.set(0,1,Er),c.set(0,2,Hn),c.set(1,0,br),c.set(1,1,qn),c.set(1,2,Nr),c.set(2,0,Mr),c.set(2,1,Sr),c.set(2,2,tr),c}mmulStrassen(u){u=It.checkMatrix(u);let c=this.clone(),i=c.rows,l=c.columns,m=u.rows,B=u.columns;l!==m&&console.warn(`Multiplying ${i} x ${l} and ${m} x ${B} matrix: dimensions do not match.`);function U(K,lt,Tt){let ct=K.rows,pt=K.columns;if(ct===lt&&pt===Tt)return K;{let Rt=Wt.zeros(lt,Tt);return Rt=Rt.setSubMatrix(K,0,0),Rt}}let V=Math.max(i,m),G=Math.max(l,B);c=U(c,V,G),u=U(u,V,G);function rt(K,lt,Tt,ct){if(Tt<=512||ct<=512)return K.mmul(lt);Tt%2===1&&ct%2===1?(K=U(K,Tt+1,ct+1),lt=U(lt,Tt+1,ct+1)):Tt%2===1?(K=U(K,Tt+1,ct),lt=U(lt,Tt+1,ct)):ct%2===1&&(K=U(K,Tt,ct+1),lt=U(lt,Tt,ct+1));let pt=parseInt(K.rows/2,10),Rt=parseInt(K.columns/2,10),Z=K.subMatrix(0,pt-1,0,Rt-1),St=lt.subMatrix(0,pt-1,0,Rt-1),Ct=K.subMatrix(0,pt-1,Rt,K.columns-1),Xt=lt.subMatrix(0,pt-1,Rt,lt.columns-1),Zt=K.subMatrix(pt,K.rows-1,0,Rt-1),ge=lt.subMatrix(pt,lt.rows-1,0,Rt-1),Ut=K.subMatrix(pt,K.rows-1,Rt,K.columns-1),Yt=lt.subMatrix(pt,lt.rows-1,Rt,lt.columns-1),ce=rt(Wt.add(Z,Ut),Wt.add(St,Yt),pt,Rt),tt=rt(Wt.add(Zt,Ut),St,pt,Rt),wt=rt(Z,Wt.sub(Xt,Yt),pt,Rt),Lt=rt(Ut,Wt.sub(ge,St),pt,Rt),Mt=rt(Wt.add(Z,Ct),Yt,pt,Rt),we=rt(Wt.sub(Zt,Z),Wt.add(St,Xt),pt,Rt),ae=rt(Wt.sub(Ct,Ut),Wt.add(ge,Yt),pt,Rt),fe=Wt.add(ce,Lt);fe.sub(Mt),fe.add(ae);let pe=Wt.add(wt,Mt),Re=Wt.add(tt,Lt),_e=Wt.sub(ce,tt);_e.add(wt),_e.add(we);let Se=Wt.zeros(2*fe.rows,2*fe.columns);return Se=Se.setSubMatrix(fe,0,0),Se=Se.setSubMatrix(pe,fe.rows,0),Se=Se.setSubMatrix(Re,0,fe.columns),Se=Se.setSubMatrix(_e,fe.rows,fe.columns),Se.subMatrix(0,Tt-1,0,ct-1)}return rt(c,u,V,G)}scaleRows(u={}){if(typeof u!="object")throw new TypeError("options must be an object");const{min:c=0,max:i=1}=u;if(!Number.isFinite(c))throw new TypeError("min must be a number");if(!Number.isFinite(i))throw new TypeError("max must be a number");if(c>=i)throw new RangeError("min must be smaller than max");let l=new It(this.rows,this.columns);for(let m=0;m<this.rows;m++){const B=this.getRow(m);B.length>0&&nt(B,{min:c,max:i,output:B}),l.setRow(m,B)}return l}scaleColumns(u={}){if(typeof u!="object")throw new TypeError("options must be an object");const{min:c=0,max:i=1}=u;if(!Number.isFinite(c))throw new TypeError("min must be a number");if(!Number.isFinite(i))throw new TypeError("max must be a number");if(c>=i)throw new RangeError("min must be smaller than max");let l=new It(this.rows,this.columns);for(let m=0;m<this.columns;m++){const B=this.getColumn(m);B.length&&nt(B,{min:c,max:i,output:B}),l.setColumn(m,B)}return l}flipRows(){const u=Math.ceil(this.columns/2);for(let c=0;c<this.rows;c++)for(let i=0;i<u;i++){let l=this.get(c,i),m=this.get(c,this.columns-1-i);this.set(c,i,m),this.set(c,this.columns-1-i,l)}return this}flipColumns(){const u=Math.ceil(this.rows/2);for(let c=0;c<this.columns;c++)for(let i=0;i<u;i++){let l=this.get(i,c),m=this.get(this.rows-1-i,c);this.set(i,c,m),this.set(this.rows-1-i,c,l)}return this}kroneckerProduct(u){u=It.checkMatrix(u);let c=this.rows,i=this.columns,l=u.rows,m=u.columns,B=new It(c*l,i*m);for(let U=0;U<c;U++)for(let V=0;V<i;V++)for(let G=0;G<l;G++)for(let rt=0;rt<m;rt++)B.set(l*U+G,m*V+rt,this.get(U,V)*u.get(G,rt));return B}kroneckerSum(u){if(u=It.checkMatrix(u),!this.isSquare()||!u.isSquare())throw new Error("Kronecker Sum needs two Square Matrices");let c=this.rows,i=u.rows,l=this.kroneckerProduct(It.eye(i,i)),m=It.eye(c,c).kroneckerProduct(u);return l.add(m)}transpose(){let u=new It(this.columns,this.rows);for(let c=0;c<this.rows;c++)for(let i=0;i<this.columns;i++)u.set(i,c,this.get(c,i));return u}sortRows(u=re){for(let c=0;c<this.rows;c++)this.setRow(c,this.getRow(c).sort(u));return this}sortColumns(u=re){for(let c=0;c<this.columns;c++)this.setColumn(c,this.getColumn(c).sort(u));return this}subMatrix(u,c,i,l){Ht(this,u,c,i,l);let m=new It(c-u+1,l-i+1);for(let B=u;B<=c;B++)for(let U=i;U<=l;U++)m.set(B-u,U-i,this.get(B,U));return m}subMatrixRow(u,c,i){if(c===void 0&&(c=0),i===void 0&&(i=this.columns-1),c>i||c<0||c>=this.columns||i<0||i>=this.columns)throw new RangeError("Argument out of range");let l=new It(u.length,i-c+1);for(let m=0;m<u.length;m++)for(let B=c;B<=i;B++){if(u[m]<0||u[m]>=this.rows)throw new RangeError(`Row index out of range: ${u[m]}`);l.set(m,B-c,this.get(u[m],B))}return l}subMatrixColumn(u,c,i){if(c===void 0&&(c=0),i===void 0&&(i=this.rows-1),c>i||c<0||c>=this.rows||i<0||i>=this.rows)throw new RangeError("Argument out of range");let l=new It(i-c+1,u.length);for(let m=0;m<u.length;m++)for(let B=c;B<=i;B++){if(u[m]<0||u[m]>=this.columns)throw new RangeError(`Column index out of range: ${u[m]}`);l.set(B-c,m,this.get(B,u[m]))}return l}setSubMatrix(u,c,i){if(u=It.checkMatrix(u),u.isEmpty())return this;let l=c+u.rows-1,m=i+u.columns-1;Ht(this,c,l,i,m);for(let B=0;B<u.rows;B++)for(let U=0;U<u.columns;U++)this.set(c+B,i+U,u.get(B,U));return this}selection(u,c){kt(this,u),Vt(this,c);let i=new It(u.length,c.length);for(let l=0;l<u.length;l++){let m=u[l];for(let B=0;B<c.length;B++){let U=c[B];i.set(l,B,this.get(m,U))}}return i}trace(){let u=Math.min(this.rows,this.columns),c=0;for(let i=0;i<u;i++)c+=this.get(i,i);return c}clone(){return this.constructor.copy(this,new It(this.rows,this.columns))}static copy(u,c){for(const[i,l,m]of u.entries())c.set(i,l,m);return c}sum(u){switch(u){case"row":return tn(this);case"column":return bn(this);case void 0:return Nn(this);default:throw new Error(`invalid option: ${u}`)}}product(u){switch(u){case"row":return an(this);case"column":return Ze(this);case void 0:return sn(this);default:throw new Error(`invalid option: ${u}`)}}mean(u){const c=this.sum(u);switch(u){case"row":{for(let i=0;i<this.rows;i++)c[i]/=this.columns;return c}case"column":{for(let i=0;i<this.columns;i++)c[i]/=this.rows;return c}case void 0:return c/this.size;default:throw new Error(`invalid option: ${u}`)}}variance(u,c={}){if(typeof u=="object"&&(c=u,u=void 0),typeof c!="object")throw new TypeError("options must be an object");const{unbiased:i=!0,mean:l=this.mean(u)}=c;if(typeof i!="boolean")throw new TypeError("unbiased must be a boolean");switch(u){case"row":{if(!ot.isAnyArray(l))throw new TypeError("mean must be an array");return gt(this,i,l)}case"column":{if(!ot.isAnyArray(l))throw new TypeError("mean must be an array");return vt(this,i,l)}case void 0:{if(typeof l!="number")throw new TypeError("mean must be a number");return At(this,i,l)}default:throw new Error(`invalid option: ${u}`)}}standardDeviation(u,c){typeof u=="object"&&(c=u,u=void 0);const i=this.variance(u,c);if(u===void 0)return Math.sqrt(i);for(let l=0;l<i.length;l++)i[l]=Math.sqrt(i[l]);return i}center(u,c={}){if(typeof u=="object"&&(c=u,u=void 0),typeof c!="object")throw new TypeError("options must be an object");const{center:i=this.mean(u)}=c;switch(u){case"row":{if(!ot.isAnyArray(i))throw new TypeError("center must be an array");return Ft(this,i),this}case"column":{if(!ot.isAnyArray(i))throw new TypeError("center must be an array");return qt(this,i),this}case void 0:{if(typeof i!="number")throw new TypeError("center must be a number");return ue(this,i),this}default:throw new Error(`invalid option: ${u}`)}}scale(u,c={}){if(typeof u=="object"&&(c=u,u=void 0),typeof c!="object")throw new TypeError("options must be an object");let i=c.scale;switch(u){case"row":{if(i===void 0)i=he(this);else if(!ot.isAnyArray(i))throw new TypeError("scale must be an array");return Ie(this,i),this}case"column":{if(i===void 0)i=pn(this);else if(!ot.isAnyArray(i))throw new TypeError("scale must be an array");return De(this,i),this}case void 0:{if(i===void 0)i=Me(this);else if(typeof i!="number")throw new TypeError("scale must be a number");return se(this,i),this}default:throw new Error(`invalid option: ${u}`)}}toString(u){return it(this,u)}[Symbol.iterator](){return this.entries()}*entries(){for(let u=0;u<this.rows;u++)for(let c=0;c<this.columns;c++)yield[u,c,this.get(u,c)]}*values(){for(let u=0;u<this.rows;u++)for(let c=0;c<this.columns;c++)yield this.get(u,c)}}Wt.prototype.klass="Matrix",typeof Symbol!="undefined"&&(Wt.prototype[Symbol.for("nodejs.util.inspect.custom")]=H);function re(T,u){return T-u}function en(T){return T.every(u=>typeof u=="number")}Wt.random=Wt.rand,Wt.randomInt=Wt.randInt,Wt.diagonal=Wt.diag,Wt.prototype.diagonal=Wt.prototype.diag,Wt.identity=Wt.eye,Wt.prototype.negate=Wt.prototype.neg,Wt.prototype.tensorProduct=Wt.prototype.kroneckerProduct;const on=class Zr extends Wt{constructor(u,c){if(super(),A(this,D),N(this,"data"),Zr.isMatrix(u))j(this,D,Y).call(this,u.rows,u.columns),Zr.copy(u,this);else if(Number.isInteger(u)&&u>=0)j(this,D,Y).call(this,u,c);else if(ot.isAnyArray(u)){const i=u;if(u=i.length,c=u?i[0].length:0,typeof c!="number")throw new TypeError("Data must be a 2D array with at least one element");this.data=[];for(let l=0;l<u;l++){if(i[l].length!==c)throw new RangeError("Inconsistent array dimensions");if(!en(i[l]))throw new TypeError("Input data contains non-numeric values");this.data.push(Float64Array.from(i[l]))}this.rows=u,this.columns=c}else throw new TypeError("First argument must be a positive number or an array")}set(u,c,i){return this.data[u][c]=i,this}get(u,c){return this.data[u][c]}removeRow(u){return xt(this,u),this.data.splice(u,1),this.rows-=1,this}addRow(u,c){return c===void 0&&(c=u,u=this.rows),xt(this,u,!0),c=Float64Array.from(Nt(this,c)),this.data.splice(u,0,c),this.rows+=1,this}removeColumn(u){yt(this,u);for(let c=0;c<this.rows;c++){const i=new Float64Array(this.columns-1);for(let l=0;l<u;l++)i[l]=this.data[c][l];for(let l=u+1;l<this.columns;l++)i[l-1]=this.data[c][l];this.data[c]=i}return this.columns-=1,this}addColumn(u,c){typeof c=="undefined"&&(c=u,u=this.columns),yt(this,u,!0),c=Ot(this,c);for(let i=0;i<this.rows;i++){const l=new Float64Array(this.columns+1);let m=0;for(;m<u;m++)l[m]=this.data[i][m];for(l[m++]=c[i];m<this.columns+1;m++)l[m]=this.data[i][m-1];this.data[i]=l}return this.columns+=1,this}};D=new WeakSet,Y=function(T,u){if(this.data=[],Number.isInteger(u)&&u>=0)for(let c=0;c<T;c++)this.data.push(new Float64Array(u));else throw new TypeError("nColumns must be a positive integer");this.rows=T,this.columns=u};let It=on;dt(Wt,It);const un=class Jr extends Wt{constructor(u){if(super(),A(this,_),It.isMatrix(u)){if(!u.isSymmetric())throw new TypeError("not symmetric data");I(this,_,It.copy(u,new It(u.rows,u.rows)))}else if(Number.isInteger(u)&&u>=0)I(this,_,new It(u,u));else if(I(this,_,new It(u)),!this.isSymmetric())throw new TypeError("not symmetric data")}get size(){return M(this,_).size}get rows(){return M(this,_).rows}get columns(){return M(this,_).columns}get diagonalSize(){return this.rows}static isSymmetricMatrix(u){return It.isMatrix(u)&&u.klassType==="SymmetricMatrix"}static zeros(u){return new this(u)}static ones(u){return new this(u).fill(1)}clone(){const u=new Jr(this.diagonalSize);for(const[c,i,l]of this.upperRightEntries())u.set(c,i,l);return u}toMatrix(){return new It(this)}get(u,c){return M(this,_).get(u,c)}set(u,c,i){return M(this,_).set(u,c,i),M(this,_).set(c,u,i),this}removeCross(u){return M(this,_).removeRow(u),M(this,_).removeColumn(u),this}addCross(u,c){c===void 0&&(c=u,u=this.diagonalSize);const i=c.slice();return i.splice(u,1),M(this,_).addRow(u,i),M(this,_).addColumn(u,c),this}applyMask(u){if(u.length!==this.diagonalSize)throw new RangeError("Mask size do not match with matrix size");const c=[];for(const[i,l]of u.entries())l||c.push(i);c.reverse();for(const i of c)this.removeCross(i);return this}toCompact(){const{diagonalSize:u}=this,c=new Array(u*(u+1)/2);for(let i=0,l=0,m=0;m<c.length;m++)c[m]=this.get(l,i),++i>=u&&(i=++l);return c}static fromCompact(u){const c=u.length,i=(Math.sqrt(8*c+1)-1)/2;if(!Number.isInteger(i))throw new TypeError(`This array is not a compact representation of a Symmetric Matrix, ${JSON.stringify(u)}`);const l=new Jr(i);for(let m=0,B=0,U=0;U<c;U++)l.set(m,B,u[U]),++m>=i&&(m=++B);return l}*upperRightEntries(){for(let u=0,c=0;u<this.diagonalSize;void 0){const i=this.get(u,c);yield[u,c,i],++c>=this.diagonalSize&&(c=++u)}}*upperRightValues(){for(let u=0,c=0;u<this.diagonalSize;void 0)yield this.get(u,c),++c>=this.diagonalSize&&(c=++u)}};_=new WeakMap;let Pe=un;Pe.prototype.klassType="SymmetricMatrix";class xe extends Pe{static isDistanceMatrix(u){return Pe.isSymmetricMatrix(u)&&u.klassSubType==="DistanceMatrix"}constructor(u){if(super(u),!this.isDistance())throw new TypeError("Provided arguments do no produce a distance matrix")}set(u,c,i){return u===c&&(i=0),super.set(u,c,i)}addCross(u,c){return c===void 0&&(c=u,u=this.diagonalSize),c=c.slice(),c[u]=0,super.addCross(u,c)}toSymmetricMatrix(){return new Pe(this)}clone(){const u=new xe(this.diagonalSize);for(const[c,i,l]of this.upperRightEntries())c!==i&&u.set(c,i,l);return u}toCompact(){const{diagonalSize:u}=this,c=(u-1)*u/2,i=new Array(c);for(let l=1,m=0,B=0;B<i.length;B++)i[B]=this.get(m,l),++l>=u&&(l=++m+1);return i}static fromCompact(u){const c=u.length;if(c===0)return new this(0);const i=(Math.sqrt(8*c+1)+1)/2;if(!Number.isInteger(i))throw new TypeError(`This array is not a compact representation of a DistanceMatrix, ${JSON.stringify(u)}`);const l=new this(i);for(let m=1,B=0,U=0;U<c;U++)l.set(m,B,u[U]),++m>=i&&(m=++B+1);return l}}xe.prototype.klassSubType="DistanceMatrix";class ke extends Wt{constructor(u,c,i){super(),this.matrix=u,this.rows=c,this.columns=i}}class vn extends ke{constructor(u,c){yt(u,c),super(u,u.rows,1),this.column=c}set(u,c,i){return this.matrix.set(u,this.column,i),this}get(u){return this.matrix.get(u,this.column)}}class Mn extends ke{constructor(u,c){Vt(u,c),super(u,u.rows,c.length),this.columnIndices=c}set(u,c,i){return this.matrix.set(u,this.columnIndices[c],i),this}get(u,c){return this.matrix.get(u,this.columnIndices[c])}}class In extends ke{constructor(u){super(u,u.rows,u.columns)}set(u,c,i){return this.matrix.set(u,this.columns-c-1,i),this}get(u,c){return this.matrix.get(u,this.columns-c-1)}}class nn extends ke{constructor(u){super(u,u.rows,u.columns)}set(u,c,i){return this.matrix.set(this.rows-u-1,c,i),this}get(u,c){return this.matrix.get(this.rows-u-1,c)}}class Sn extends ke{constructor(u,c){xt(u,c),super(u,1,u.columns),this.row=c}set(u,c,i){return this.matrix.set(this.row,c,i),this}get(u,c){return this.matrix.get(this.row,c)}}class Pn extends ke{constructor(u,c){kt(u,c),super(u,c.length,u.columns),this.rowIndices=c}set(u,c,i){return this.matrix.set(this.rowIndices[u],c,i),this}get(u,c){return this.matrix.get(this.rowIndices[u],c)}}class mn extends ke{constructor(u,c,i){kt(u,c),Vt(u,i),super(u,c.length,i.length),this.rowIndices=c,this.columnIndices=i}set(u,c,i){return this.matrix.set(this.rowIndices[u],this.columnIndices[c],i),this}get(u,c){return this.matrix.get(this.rowIndices[u],this.columnIndices[c])}}class Bn extends ke{constructor(u,c,i,l,m){Ht(u,c,i,l,m),super(u,i-c+1,m-l+1),this.startRow=c,this.startColumn=l}set(u,c,i){return this.matrix.set(this.startRow+u,this.startColumn+c,i),this}get(u,c){return this.matrix.get(this.startRow+u,this.startColumn+c)}}class Be extends ke{constructor(u){super(u,u.columns,u.rows)}set(u,c,i){return this.matrix.set(c,u,i),this}get(u,c){return this.matrix.get(c,u)}}class ze extends Wt{constructor(u,c={}){const{rows:i=1}=c;if(u.length%i!==0)throw new Error("the data length is not divisible by the number of rows");super(),this.rows=i,this.columns=u.length/i,this.data=u}set(u,c,i){let l=this._calculateIndex(u,c);return this.data[l]=i,this}get(u,c){let i=this._calculateIndex(u,c);return this.data[i]}_calculateIndex(u,c){return u*this.columns+c}}class Ae extends Wt{constructor(u){super(),this.data=u,this.rows=u.length,this.columns=u[0].length}set(u,c,i){return this.data[u][c]=i,this}get(u,c){return this.data[u][c]}}function fr(T,u){if(ot.isAnyArray(T))return T[0]&&ot.isAnyArray(T[0])?new Ae(T):new ze(T,u);throw new Error("the argument is not an array")}class _t{constructor(u){u=Ae.checkMatrix(u);let c=u.clone(),i=c.rows,l=c.columns,m=new Float64Array(i),B=1,U,V,G,rt,K,lt,Tt,ct,pt;for(U=0;U<i;U++)m[U]=U;for(ct=new Float64Array(i),V=0;V<l;V++){for(U=0;U<i;U++)ct[U]=c.get(U,V);for(U=0;U<i;U++){for(pt=Math.min(U,V),K=0,G=0;G<pt;G++)K+=c.get(U,G)*ct[G];ct[U]-=K,c.set(U,V,ct[U])}for(rt=V,U=V+1;U<i;U++)Math.abs(ct[U])>Math.abs(ct[rt])&&(rt=U);if(rt!==V){for(G=0;G<l;G++)lt=c.get(rt,G),c.set(rt,G,c.get(V,G)),c.set(V,G,lt);Tt=m[rt],m[rt]=m[V],m[V]=Tt,B=-B}if(V<i&&c.get(V,V)!==0)for(U=V+1;U<i;U++)c.set(U,V,c.get(U,V)/c.get(V,V))}this.LU=c,this.pivotVector=m,this.pivotSign=B}isSingular(){let u=this.LU,c=u.columns;for(let i=0;i<c;i++)if(u.get(i,i)===0)return!0;return!1}solve(u){u=It.checkMatrix(u);let c=this.LU;if(c.rows!==u.rows)throw new Error("Invalid matrix dimensions");if(this.isSingular())throw new Error("LU matrix is singular");let l=u.columns,m=u.subMatrixRow(this.pivotVector,0,l-1),B=c.columns,U,V,G;for(G=0;G<B;G++)for(U=G+1;U<B;U++)for(V=0;V<l;V++)m.set(U,V,m.get(U,V)-m.get(G,V)*c.get(U,G));for(G=B-1;G>=0;G--){for(V=0;V<l;V++)m.set(G,V,m.get(G,V)/c.get(G,G));for(U=0;U<G;U++)for(V=0;V<l;V++)m.set(U,V,m.get(U,V)-m.get(G,V)*c.get(U,G))}return m}get determinant(){let u=this.LU;if(!u.isSquare())throw new Error("Matrix must be square");let c=this.pivotSign,i=u.columns;for(let l=0;l<i;l++)c*=u.get(l,l);return c}get lowerTriangularMatrix(){let u=this.LU,c=u.rows,i=u.columns,l=new It(c,i);for(let m=0;m<c;m++)for(let B=0;B<i;B++)m>B?l.set(m,B,u.get(m,B)):m===B?l.set(m,B,1):l.set(m,B,0);return l}get upperTriangularMatrix(){let u=this.LU,c=u.rows,i=u.columns,l=new It(c,i);for(let m=0;m<c;m++)for(let B=0;B<i;B++)m<=B?l.set(m,B,u.get(m,B)):l.set(m,B,0);return l}get pivotPermutationVector(){return Array.from(this.pivotVector)}}function rn(T,u){let c=0;return Math.abs(T)>Math.abs(u)?(c=u/T,Math.abs(T)*Math.sqrt(1+c*c)):u!==0?(c=T/u,Math.abs(u)*Math.sqrt(1+c*c)):0}class Un{constructor(u){u=Ae.checkMatrix(u);let c=u.clone(),i=u.rows,l=u.columns,m=new Float64Array(l),B,U,V,G;for(V=0;V<l;V++){let rt=0;for(B=V;B<i;B++)rt=rn(rt,c.get(B,V));if(rt!==0){for(c.get(V,V)<0&&(rt=-rt),B=V;B<i;B++)c.set(B,V,c.get(B,V)/rt);for(c.set(V,V,c.get(V,V)+1),U=V+1;U<l;U++){for(G=0,B=V;B<i;B++)G+=c.get(B,V)*c.get(B,U);for(G=-G/c.get(V,V),B=V;B<i;B++)c.set(B,U,c.get(B,U)+G*c.get(B,V))}}m[V]=-rt}this.QR=c,this.Rdiag=m}solve(u){u=It.checkMatrix(u);let c=this.QR,i=c.rows;if(u.rows!==i)throw new Error("Matrix row dimensions must agree");if(!this.isFullRank())throw new Error("Matrix is rank deficient");let l=u.columns,m=u.clone(),B=c.columns,U,V,G,rt;for(G=0;G<B;G++)for(V=0;V<l;V++){for(rt=0,U=G;U<i;U++)rt+=c.get(U,G)*m.get(U,V);for(rt=-rt/c.get(G,G),U=G;U<i;U++)m.set(U,V,m.get(U,V)+rt*c.get(U,G))}for(G=B-1;G>=0;G--){for(V=0;V<l;V++)m.set(G,V,m.get(G,V)/this.Rdiag[G]);for(U=0;U<G;U++)for(V=0;V<l;V++)m.set(U,V,m.get(U,V)-m.get(G,V)*c.get(U,G))}return m.subMatrix(0,B-1,0,l-1)}isFullRank(){let u=this.QR.columns;for(let c=0;c<u;c++)if(this.Rdiag[c]===0)return!1;return!0}get upperTriangularMatrix(){let u=this.QR,c=u.columns,i=new It(c,c),l,m;for(l=0;l<c;l++)for(m=0;m<c;m++)l<m?i.set(l,m,u.get(l,m)):l===m?i.set(l,m,this.Rdiag[l]):i.set(l,m,0);return i}get orthogonalMatrix(){let u=this.QR,c=u.rows,i=u.columns,l=new It(c,i),m,B,U,V;for(U=i-1;U>=0;U--){for(m=0;m<c;m++)l.set(m,U,0);for(l.set(U,U,1),B=U;B<i;B++)if(u.get(U,U)!==0){for(V=0,m=U;m<c;m++)V+=u.get(m,U)*l.get(m,B);for(V=-V/u.get(U,U),m=U;m<c;m++)l.set(m,B,l.get(m,B)+V*u.get(m,U))}}return l}}class cn{constructor(u,c={}){if(u=Ae.checkMatrix(u),u.isEmpty())throw new Error("Matrix must be non-empty");let i=u.rows,l=u.columns;const{computeLeftSingularVectors:m=!0,computeRightSingularVectors:B=!0,autoTranspose:U=!1}=c;let V=!!m,G=!!B,rt=!1,K;if(i<l)if(!U)K=u.clone(),console.warn("Computing SVD on a matrix with more columns than rows. Consider enabling autoTranspose");else{K=u.transpose(),i=K.rows,l=K.columns,rt=!0;let tt=V;V=G,G=tt}else K=u.clone();let lt=Math.min(i,l),Tt=Math.min(i+1,l),ct=new Float64Array(Tt),pt=new It(i,lt),Rt=new It(l,l),Z=new Float64Array(l),St=new Float64Array(i),Ct=new Float64Array(Tt);for(let tt=0;tt<Tt;tt++)Ct[tt]=tt;let Xt=Math.min(i-1,l),Zt=Math.max(0,Math.min(l-2,i)),ge=Math.max(Xt,Zt);for(let tt=0;tt<ge;tt++){if(tt<Xt){ct[tt]=0;for(let wt=tt;wt<i;wt++)ct[tt]=rn(ct[tt],K.get(wt,tt));if(ct[tt]!==0){K.get(tt,tt)<0&&(ct[tt]=-ct[tt]);for(let wt=tt;wt<i;wt++)K.set(wt,tt,K.get(wt,tt)/ct[tt]);K.set(tt,tt,K.get(tt,tt)+1)}ct[tt]=-ct[tt]}for(let wt=tt+1;wt<l;wt++){if(tt<Xt&&ct[tt]!==0){let Lt=0;for(let Mt=tt;Mt<i;Mt++)Lt+=K.get(Mt,tt)*K.get(Mt,wt);Lt=-Lt/K.get(tt,tt);for(let Mt=tt;Mt<i;Mt++)K.set(Mt,wt,K.get(Mt,wt)+Lt*K.get(Mt,tt))}Z[wt]=K.get(tt,wt)}if(V&&tt<Xt)for(let wt=tt;wt<i;wt++)pt.set(wt,tt,K.get(wt,tt));if(tt<Zt){Z[tt]=0;for(let wt=tt+1;wt<l;wt++)Z[tt]=rn(Z[tt],Z[wt]);if(Z[tt]!==0){Z[tt+1]<0&&(Z[tt]=0-Z[tt]);for(let wt=tt+1;wt<l;wt++)Z[wt]/=Z[tt];Z[tt+1]+=1}if(Z[tt]=-Z[tt],tt+1<i&&Z[tt]!==0){for(let wt=tt+1;wt<i;wt++)St[wt]=0;for(let wt=tt+1;wt<i;wt++)for(let Lt=tt+1;Lt<l;Lt++)St[wt]+=Z[Lt]*K.get(wt,Lt);for(let wt=tt+1;wt<l;wt++){let Lt=-Z[wt]/Z[tt+1];for(let Mt=tt+1;Mt<i;Mt++)K.set(Mt,wt,K.get(Mt,wt)+Lt*St[Mt])}}if(G)for(let wt=tt+1;wt<l;wt++)Rt.set(wt,tt,Z[wt])}}let Ut=Math.min(l,i+1);if(Xt<l&&(ct[Xt]=K.get(Xt,Xt)),i<Ut&&(ct[Ut-1]=0),Zt+1<Ut&&(Z[Zt]=K.get(Zt,Ut-1)),Z[Ut-1]=0,V){for(let tt=Xt;tt<lt;tt++){for(let wt=0;wt<i;wt++)pt.set(wt,tt,0);pt.set(tt,tt,1)}for(let tt=Xt-1;tt>=0;tt--)if(ct[tt]!==0){for(let wt=tt+1;wt<lt;wt++){let Lt=0;for(let Mt=tt;Mt<i;Mt++)Lt+=pt.get(Mt,tt)*pt.get(Mt,wt);Lt=-Lt/pt.get(tt,tt);for(let Mt=tt;Mt<i;Mt++)pt.set(Mt,wt,pt.get(Mt,wt)+Lt*pt.get(Mt,tt))}for(let wt=tt;wt<i;wt++)pt.set(wt,tt,-pt.get(wt,tt));pt.set(tt,tt,1+pt.get(tt,tt));for(let wt=0;wt<tt-1;wt++)pt.set(wt,tt,0)}else{for(let wt=0;wt<i;wt++)pt.set(wt,tt,0);pt.set(tt,tt,1)}}if(G)for(let tt=l-1;tt>=0;tt--){if(tt<Zt&&Z[tt]!==0)for(let wt=tt+1;wt<l;wt++){let Lt=0;for(let Mt=tt+1;Mt<l;Mt++)Lt+=Rt.get(Mt,tt)*Rt.get(Mt,wt);Lt=-Lt/Rt.get(tt+1,tt);for(let Mt=tt+1;Mt<l;Mt++)Rt.set(Mt,wt,Rt.get(Mt,wt)+Lt*Rt.get(Mt,tt))}for(let wt=0;wt<l;wt++)Rt.set(wt,tt,0);Rt.set(tt,tt,1)}let Yt=Ut-1,ce=Number.EPSILON;for(;Ut>0;){let tt,wt;for(tt=Ut-2;tt>=-1&&tt!==-1;tt--){const Lt=Number.MIN_VALUE+ce*Math.abs(ct[tt]+Math.abs(ct[tt+1]));if(Math.abs(Z[tt])<=Lt||Number.isNaN(Z[tt])){Z[tt]=0;break}}if(tt===Ut-2)wt=4;else{let Lt;for(Lt=Ut-1;Lt>=tt&&Lt!==tt;Lt--){let Mt=(Lt!==Ut?Math.abs(Z[Lt]):0)+(Lt!==tt+1?Math.abs(Z[Lt-1]):0);if(Math.abs(ct[Lt])<=ce*Mt){ct[Lt]=0;break}}Lt===tt?wt=3:Lt===Ut-1?wt=1:(wt=2,tt=Lt)}switch(tt++,wt){case 1:{let Lt=Z[Ut-2];Z[Ut-2]=0;for(let Mt=Ut-2;Mt>=tt;Mt--){let we=rn(ct[Mt],Lt),ae=ct[Mt]/we,fe=Lt/we;if(ct[Mt]=we,Mt!==tt&&(Lt=-fe*Z[Mt-1],Z[Mt-1]=ae*Z[Mt-1]),G)for(let pe=0;pe<l;pe++)we=ae*Rt.get(pe,Mt)+fe*Rt.get(pe,Ut-1),Rt.set(pe,Ut-1,-fe*Rt.get(pe,Mt)+ae*Rt.get(pe,Ut-1)),Rt.set(pe,Mt,we)}break}case 2:{let Lt=Z[tt-1];Z[tt-1]=0;for(let Mt=tt;Mt<Ut;Mt++){let we=rn(ct[Mt],Lt),ae=ct[Mt]/we,fe=Lt/we;if(ct[Mt]=we,Lt=-fe*Z[Mt],Z[Mt]=ae*Z[Mt],V)for(let pe=0;pe<i;pe++)we=ae*pt.get(pe,Mt)+fe*pt.get(pe,tt-1),pt.set(pe,tt-1,-fe*pt.get(pe,Mt)+ae*pt.get(pe,tt-1)),pt.set(pe,Mt,we)}break}case 3:{const Lt=Math.max(Math.abs(ct[Ut-1]),Math.abs(ct[Ut-2]),Math.abs(Z[Ut-2]),Math.abs(ct[tt]),Math.abs(Z[tt])),Mt=ct[Ut-1]/Lt,we=ct[Ut-2]/Lt,ae=Z[Ut-2]/Lt,fe=ct[tt]/Lt,pe=Z[tt]/Lt,Re=((we+Mt)*(we-Mt)+ae*ae)/2,_e=Mt*ae*(Mt*ae);let Se=0;(Re!==0||_e!==0)&&(Re<0?Se=0-Math.sqrt(Re*Re+_e):Se=Math.sqrt(Re*Re+_e),Se=_e/(Re+Se));let Je=(fe+Mt)*(fe-Mt)+Se,Qe=fe*pe;for(let te=tt;te<Ut-1;te++){let Le=rn(Je,Qe);Le===0&&(Le=Number.MIN_VALUE);let Ue=Je/Le,Ve=Qe/Le;if(te!==tt&&(Z[te-1]=Le),Je=Ue*ct[te]+Ve*Z[te],Z[te]=Ue*Z[te]-Ve*ct[te],Qe=Ve*ct[te+1],ct[te+1]=Ue*ct[te+1],G)for(let Oe=0;Oe<l;Oe++)Le=Ue*Rt.get(Oe,te)+Ve*Rt.get(Oe,te+1),Rt.set(Oe,te+1,-Ve*Rt.get(Oe,te)+Ue*Rt.get(Oe,te+1)),Rt.set(Oe,te,Le);if(Le=rn(Je,Qe),Le===0&&(Le=Number.MIN_VALUE),Ue=Je/Le,Ve=Qe/Le,ct[te]=Le,Je=Ue*Z[te]+Ve*ct[te+1],ct[te+1]=-Ve*Z[te]+Ue*ct[te+1],Qe=Ve*Z[te+1],Z[te+1]=Ue*Z[te+1],V&&te<i-1)for(let Oe=0;Oe<i;Oe++)Le=Ue*pt.get(Oe,te)+Ve*pt.get(Oe,te+1),pt.set(Oe,te+1,-Ve*pt.get(Oe,te)+Ue*pt.get(Oe,te+1)),pt.set(Oe,te,Le)}Z[Ut-2]=Je;break}case 4:{if(ct[tt]<=0&&(ct[tt]=ct[tt]<0?-ct[tt]:0,G))for(let Lt=0;Lt<=Yt;Lt++)Rt.set(Lt,tt,-Rt.get(Lt,tt));for(;tt<Yt&&!(ct[tt]>=ct[tt+1]);){let Lt=ct[tt];if(ct[tt]=ct[tt+1],ct[tt+1]=Lt,G&&tt<l-1)for(let Mt=0;Mt<l;Mt++)Lt=Rt.get(Mt,tt+1),Rt.set(Mt,tt+1,Rt.get(Mt,tt)),Rt.set(Mt,tt,Lt);if(V&&tt<i-1)for(let Mt=0;Mt<i;Mt++)Lt=pt.get(Mt,tt+1),pt.set(Mt,tt+1,pt.get(Mt,tt)),pt.set(Mt,tt,Lt);tt++}Ut--;break}}}if(rt){let tt=Rt;Rt=pt,pt=tt}this.m=i,this.n=l,this.s=ct,this.U=pt,this.V=Rt}solve(u){let c=u,i=this.threshold,l=this.s.length,m=It.zeros(l,l);for(let lt=0;lt<l;lt++)Math.abs(this.s[lt])<=i?m.set(lt,lt,0):m.set(lt,lt,1/this.s[lt]);let B=this.U,U=this.rightSingularVectors,V=U.mmul(m),G=U.rows,rt=B.rows,K=It.zeros(G,rt);for(let lt=0;lt<G;lt++)for(let Tt=0;Tt<rt;Tt++){let ct=0;for(let pt=0;pt<l;pt++)ct+=V.get(lt,pt)*B.get(Tt,pt);K.set(lt,Tt,ct)}return K.mmul(c)}solveForDiagonal(u){return this.solve(It.diag(u))}inverse(){let u=this.V,c=this.threshold,i=u.rows,l=u.columns,m=new It(i,this.s.length);for(let rt=0;rt<i;rt++)for(let K=0;K<l;K++)Math.abs(this.s[K])>c&&m.set(rt,K,u.get(rt,K)/this.s[K]);let B=this.U,U=B.rows,V=B.columns,G=new It(i,U);for(let rt=0;rt<i;rt++)for(let K=0;K<U;K++){let lt=0;for(let Tt=0;Tt<V;Tt++)lt+=m.get(rt,Tt)*B.get(K,Tt);G.set(rt,K,lt)}return G}get condition(){return this.s[0]/this.s[Math.min(this.m,this.n)-1]}get norm2(){return this.s[0]}get rank(){let u=Math.max(this.m,this.n)*this.s[0]*Number.EPSILON,c=0,i=this.s;for(let l=0,m=i.length;l<m;l++)i[l]>u&&c++;return c}get diagonal(){return Array.from(this.s)}get threshold(){return Number.EPSILON/2*Math.max(this.m,this.n)*this.s[0]}get leftSingularVectors(){return this.U}get rightSingularVectors(){return this.V}get diagonalMatrix(){return It.diag(this.s)}}function lr(T,u=!1){return T=Ae.checkMatrix(T),u?new cn(T).inverse():Jn(T,It.eye(T.rows))}function Jn(T,u,c=!1){return T=Ae.checkMatrix(T),u=Ae.checkMatrix(u),c?new cn(T).solve(u):T.isSquare()?new _t(T).solve(u):new Un(T).solve(u)}function Rn(T){if(T=It.checkMatrix(T),T.isSquare()){if(T.columns===0)return 1;let u,c,i,l;if(T.columns===2)return u=T.get(0,0),c=T.get(0,1),i=T.get(1,0),l=T.get(1,1),u*l-c*i;if(T.columns===3){let m,B,U;return m=new mn(T,[1,2],[1,2]),B=new mn(T,[1,2],[0,2]),U=new mn(T,[1,2],[0,1]),u=T.get(0,0),c=T.get(0,1),i=T.get(0,2),u*Rn(m)-c*Rn(B)+i*Rn(U)}else return new _t(T).determinant}else throw Error("determinant can only be calculated for a square matrix")}function dr(T,u){let c=[];for(let i=0;i<T;i++)i!==u&&c.push(i);return c}function hr(T,u,c,i=1e-9,l=1e-9){if(T>l)return new Array(u.rows+1).fill(0);{let m=u.addRow(c,[0]);for(let B=0;B<m.rows;B++)Math.abs(m.get(B,0))<i&&m.set(B,0,0);return m.to1DArray()}}function Vn(T,u={}){const{thresholdValue:c=1e-9,thresholdError:i=1e-9}=u;T=It.checkMatrix(T);let l=T.rows,m=new It(l,l);for(let B=0;B<l;B++){let U=It.columnVector(T.getRow(B)),V=T.subMatrixRow(dr(l,B)).transpose(),rt=new cn(V).solve(U),K=It.sub(U,V.mmul(rt)).abs().max();m.setRow(B,hr(K,rt,B,c,i))}return m}function gr(T,u=Number.EPSILON){if(T=It.checkMatrix(T),T.isEmpty())return T.transpose();let c=new cn(T,{autoTranspose:!0}),i=c.leftSingularVectors,l=c.rightSingularVectors,m=c.diagonal;for(let B=0;B<m.length;B++)Math.abs(m[B])>u?m[B]=1/m[B]:m[B]=0;return l.mmul(It.diag(m).mmul(i.transpose()))}function Gn(T,u=T,c={}){T=new It(T);let i=!1;if(typeof u=="object"&&!It.isMatrix(u)&&!ot.isAnyArray(u)?(c=u,u=T,i=!0):u=new It(u),T.rows!==u.rows)throw new TypeError("Both matrices must have the same number of rows");const{center:l=!0}=c;l&&(T=T.center("column"),i||(u=u.center("column")));const m=T.transpose().mmul(u);for(let B=0;B<m.rows;B++)for(let U=0;U<m.columns;U++)m.set(B,U,m.get(B,U)*(1/(T.rows-1)));return m}function pr(T,u=T,c={}){T=new It(T);let i=!1;if(typeof u=="object"&&!It.isMatrix(u)&&!ot.isAnyArray(u)?(c=u,u=T,i=!0):u=new It(u),T.rows!==u.rows)throw new TypeError("Both matrices must have the same number of rows");const{center:l=!0,scale:m=!0}=c;l&&(T.center("column"),i||u.center("column")),m&&(T.scale("column"),i||u.scale("column"));const B=T.standardDeviation("column",{unbiased:!0}),U=i?B:u.standardDeviation("column",{unbiased:!0}),V=T.transpose().mmul(u);for(let G=0;G<V.rows;G++)for(let rt=0;rt<V.columns;rt++)V.set(G,rt,V.get(G,rt)*(1/(B[G]*U[rt]))*(1/(T.rows-1)));return V}class Qn{constructor(u,c={}){const{assumeSymmetric:i=!1}=c;if(u=Ae.checkMatrix(u),!u.isSquare())throw new Error("Matrix is not a square matrix");if(u.isEmpty())throw new Error("Matrix must be non-empty");let l=u.columns,m=new It(l,l),B=new Float64Array(l),U=new Float64Array(l),V=u,G,rt,K=!1;if(i?K=!0:K=u.isSymmetric(),K){for(G=0;G<l;G++)for(rt=0;rt<l;rt++)m.set(G,rt,V.get(G,rt));vr(l,U,B,m),mr(l,U,B,m)}else{let lt=new It(l,l),Tt=new Float64Array(l);for(rt=0;rt<l;rt++)for(G=0;G<l;G++)lt.set(G,rt,V.get(G,rt));yn(l,lt,Tt,m),yr(l,U,B,m,lt)}this.n=l,this.e=U,this.d=B,this.V=m}get realEigenvalues(){return Array.from(this.d)}get imaginaryEigenvalues(){return Array.from(this.e)}get eigenvectorMatrix(){return this.V}get diagonalMatrix(){let u=this.n,c=this.e,i=this.d,l=new It(u,u),m,B;for(m=0;m<u;m++){for(B=0;B<u;B++)l.set(m,B,0);l.set(m,m,i[m]),c[m]>0?l.set(m,m+1,c[m]):c[m]<0&&l.set(m,m-1,c[m])}return l}}function vr(T,u,c,i){let l,m,B,U,V,G,rt,K;for(V=0;V<T;V++)c[V]=i.get(T-1,V);for(U=T-1;U>0;U--){for(K=0,B=0,G=0;G<U;G++)K=K+Math.abs(c[G]);if(K===0)for(u[U]=c[U-1],V=0;V<U;V++)c[V]=i.get(U-1,V),i.set(U,V,0),i.set(V,U,0);else{for(G=0;G<U;G++)c[G]/=K,B+=c[G]*c[G];for(l=c[U-1],m=Math.sqrt(B),l>0&&(m=-m),u[U]=K*m,B=B-l*m,c[U-1]=l-m,V=0;V<U;V++)u[V]=0;for(V=0;V<U;V++){for(l=c[V],i.set(V,U,l),m=u[V]+i.get(V,V)*l,G=V+1;G<=U-1;G++)m+=i.get(G,V)*c[G],u[G]+=i.get(G,V)*l;u[V]=m}for(l=0,V=0;V<U;V++)u[V]/=B,l+=u[V]*c[V];for(rt=l/(B+B),V=0;V<U;V++)u[V]-=rt*c[V];for(V=0;V<U;V++){for(l=c[V],m=u[V],G=V;G<=U-1;G++)i.set(G,V,i.get(G,V)-(l*u[G]+m*c[G]));c[V]=i.get(U-1,V),i.set(U,V,0)}}c[U]=B}for(U=0;U<T-1;U++){if(i.set(T-1,U,i.get(U,U)),i.set(U,U,1),B=c[U+1],B!==0){for(G=0;G<=U;G++)c[G]=i.get(G,U+1)/B;for(V=0;V<=U;V++){for(m=0,G=0;G<=U;G++)m+=i.get(G,U+1)*i.get(G,V);for(G=0;G<=U;G++)i.set(G,V,i.get(G,V)-m*c[G])}}for(G=0;G<=U;G++)i.set(G,U+1,0)}for(V=0;V<T;V++)c[V]=i.get(T-1,V),i.set(T-1,V,0);i.set(T-1,T-1,1),u[0]=0}function mr(T,u,c,i){let l,m,B,U,V,G,rt,K,lt,Tt,ct,pt,Rt,Z,St,Ct;for(B=1;B<T;B++)u[B-1]=u[B];u[T-1]=0;let Xt=0,Zt=0,ge=Number.EPSILON;for(G=0;G<T;G++){for(Zt=Math.max(Zt,Math.abs(c[G])+Math.abs(u[G])),rt=G;rt<T&&!(Math.abs(u[rt])<=ge*Zt);)rt++;if(rt>G)do{for(l=c[G],K=(c[G+1]-l)/(2*u[G]),lt=rn(K,1),K<0&&(lt=-lt),c[G]=u[G]/(K+lt),c[G+1]=u[G]*(K+lt),Tt=c[G+1],m=l-c[G],B=G+2;B<T;B++)c[B]-=m;for(Xt=Xt+m,K=c[rt],ct=1,pt=ct,Rt=ct,Z=u[G+1],St=0,Ct=0,B=rt-1;B>=G;B--)for(Rt=pt,pt=ct,Ct=St,l=ct*u[B],m=ct*K,lt=rn(K,u[B]),u[B+1]=St*lt,St=u[B]/lt,ct=K/lt,K=ct*c[B]-St*l,c[B+1]=m+St*(ct*l+St*c[B]),V=0;V<T;V++)m=i.get(V,B+1),i.set(V,B+1,St*i.get(V,B)+ct*m),i.set(V,B,ct*i.get(V,B)-St*m);K=-St*Ct*Rt*Z*u[G]/Tt,u[G]=St*K,c[G]=ct*K}while(Math.abs(u[G])>ge*Zt);c[G]=c[G]+Xt,u[G]=0}for(B=0;B<T-1;B++){for(V=B,K=c[B],U=B+1;U<T;U++)c[U]<K&&(V=U,K=c[U]);if(V!==B)for(c[V]=c[B],c[B]=K,U=0;U<T;U++)K=i.get(U,B),i.set(U,B,i.get(U,V)),i.set(U,V,K)}}function yn(T,u,c,i){let l=0,m=T-1,B,U,V,G,rt,K,lt;for(K=l+1;K<=m-1;K++){for(lt=0,G=K;G<=m;G++)lt=lt+Math.abs(u.get(G,K-1));if(lt!==0){for(V=0,G=m;G>=K;G--)c[G]=u.get(G,K-1)/lt,V+=c[G]*c[G];for(U=Math.sqrt(V),c[K]>0&&(U=-U),V=V-c[K]*U,c[K]=c[K]-U,rt=K;rt<T;rt++){for(B=0,G=m;G>=K;G--)B+=c[G]*u.get(G,rt);for(B=B/V,G=K;G<=m;G++)u.set(G,rt,u.get(G,rt)-B*c[G])}for(G=0;G<=m;G++){for(B=0,rt=m;rt>=K;rt--)B+=c[rt]*u.get(G,rt);for(B=B/V,rt=K;rt<=m;rt++)u.set(G,rt,u.get(G,rt)-B*c[rt])}c[K]=lt*c[K],u.set(K,K-1,lt*U)}}for(G=0;G<T;G++)for(rt=0;rt<T;rt++)i.set(G,rt,G===rt?1:0);for(K=m-1;K>=l+1;K--)if(u.get(K,K-1)!==0){for(G=K+1;G<=m;G++)c[G]=u.get(G,K-1);for(rt=K;rt<=m;rt++){for(U=0,G=K;G<=m;G++)U+=c[G]*i.get(G,rt);for(U=U/c[K]/u.get(K,K-1),G=K;G<=m;G++)i.set(G,rt,i.get(G,rt)+U*c[G])}}}function yr(T,u,c,i,l){let m=T-1,B=0,U=T-1,V=Number.EPSILON,G=0,rt=0,K=0,lt=0,Tt=0,ct=0,pt=0,Rt=0,Z,St,Ct,Xt,Zt,ge,Ut,Yt,ce,tt,wt,Lt,Mt,we,ae;for(Z=0;Z<T;Z++)for((Z<B||Z>U)&&(c[Z]=l.get(Z,Z),u[Z]=0),St=Math.max(Z-1,0);St<T;St++)rt=rt+Math.abs(l.get(Z,St));for(;m>=B;){for(Xt=m;Xt>B&&(ct=Math.abs(l.get(Xt-1,Xt-1))+Math.abs(l.get(Xt,Xt)),ct===0&&(ct=rt),!(Math.abs(l.get(Xt,Xt-1))<V*ct));)Xt--;if(Xt===m)l.set(m,m,l.get(m,m)+G),c[m]=l.get(m,m),u[m]=0,m--,Rt=0;else if(Xt===m-1){if(Ut=l.get(m,m-1)*l.get(m-1,m),K=(l.get(m-1,m-1)-l.get(m,m))/2,lt=K*K+Ut,pt=Math.sqrt(Math.abs(lt)),l.set(m,m,l.get(m,m)+G),l.set(m-1,m-1,l.get(m-1,m-1)+G),Yt=l.get(m,m),lt>=0){for(pt=K>=0?K+pt:K-pt,c[m-1]=Yt+pt,c[m]=c[m-1],pt!==0&&(c[m]=Yt-Ut/pt),u[m-1]=0,u[m]=0,Yt=l.get(m,m-1),ct=Math.abs(Yt)+Math.abs(pt),K=Yt/ct,lt=pt/ct,Tt=Math.sqrt(K*K+lt*lt),K=K/Tt,lt=lt/Tt,St=m-1;St<T;St++)pt=l.get(m-1,St),l.set(m-1,St,lt*pt+K*l.get(m,St)),l.set(m,St,lt*l.get(m,St)-K*pt);for(Z=0;Z<=m;Z++)pt=l.get(Z,m-1),l.set(Z,m-1,lt*pt+K*l.get(Z,m)),l.set(Z,m,lt*l.get(Z,m)-K*pt);for(Z=B;Z<=U;Z++)pt=i.get(Z,m-1),i.set(Z,m-1,lt*pt+K*i.get(Z,m)),i.set(Z,m,lt*i.get(Z,m)-K*pt)}else c[m-1]=Yt+K,c[m]=Yt+K,u[m-1]=pt,u[m]=-pt;m=m-2,Rt=0}else{if(Yt=l.get(m,m),ce=0,Ut=0,Xt<m&&(ce=l.get(m-1,m-1),Ut=l.get(m,m-1)*l.get(m-1,m)),Rt===10){for(G+=Yt,Z=B;Z<=m;Z++)l.set(Z,Z,l.get(Z,Z)-Yt);ct=Math.abs(l.get(m,m-1))+Math.abs(l.get(m-1,m-2)),Yt=ce=.75*ct,Ut=-.4375*ct*ct}if(Rt===30&&(ct=(ce-Yt)/2,ct=ct*ct+Ut,ct>0)){for(ct=Math.sqrt(ct),ce<Yt&&(ct=-ct),ct=Yt-Ut/((ce-Yt)/2+ct),Z=B;Z<=m;Z++)l.set(Z,Z,l.get(Z,Z)-ct);G+=ct,Yt=ce=Ut=.964}for(Rt=Rt+1,Zt=m-2;Zt>=Xt&&(pt=l.get(Zt,Zt),Tt=Yt-pt,ct=ce-pt,K=(Tt*ct-Ut)/l.get(Zt+1,Zt)+l.get(Zt,Zt+1),lt=l.get(Zt+1,Zt+1)-pt-Tt-ct,Tt=l.get(Zt+2,Zt+1),ct=Math.abs(K)+Math.abs(lt)+Math.abs(Tt),K=K/ct,lt=lt/ct,Tt=Tt/ct,!(Zt===Xt||Math.abs(l.get(Zt,Zt-1))*(Math.abs(lt)+Math.abs(Tt))<V*(Math.abs(K)*(Math.abs(l.get(Zt-1,Zt-1))+Math.abs(pt)+Math.abs(l.get(Zt+1,Zt+1))))));)Zt--;for(Z=Zt+2;Z<=m;Z++)l.set(Z,Z-2,0),Z>Zt+2&&l.set(Z,Z-3,0);for(Ct=Zt;Ct<=m-1&&(we=Ct!==m-1,Ct!==Zt&&(K=l.get(Ct,Ct-1),lt=l.get(Ct+1,Ct-1),Tt=we?l.get(Ct+2,Ct-1):0,Yt=Math.abs(K)+Math.abs(lt)+Math.abs(Tt),Yt!==0&&(K=K/Yt,lt=lt/Yt,Tt=Tt/Yt)),Yt!==0);Ct++)if(ct=Math.sqrt(K*K+lt*lt+Tt*Tt),K<0&&(ct=-ct),ct!==0){for(Ct!==Zt?l.set(Ct,Ct-1,-ct*Yt):Xt!==Zt&&l.set(Ct,Ct-1,-l.get(Ct,Ct-1)),K=K+ct,Yt=K/ct,ce=lt/ct,pt=Tt/ct,lt=lt/K,Tt=Tt/K,St=Ct;St<T;St++)K=l.get(Ct,St)+lt*l.get(Ct+1,St),we&&(K=K+Tt*l.get(Ct+2,St),l.set(Ct+2,St,l.get(Ct+2,St)-K*pt)),l.set(Ct,St,l.get(Ct,St)-K*Yt),l.set(Ct+1,St,l.get(Ct+1,St)-K*ce);for(Z=0;Z<=Math.min(m,Ct+3);Z++)K=Yt*l.get(Z,Ct)+ce*l.get(Z,Ct+1),we&&(K=K+pt*l.get(Z,Ct+2),l.set(Z,Ct+2,l.get(Z,Ct+2)-K*Tt)),l.set(Z,Ct,l.get(Z,Ct)-K),l.set(Z,Ct+1,l.get(Z,Ct+1)-K*lt);for(Z=B;Z<=U;Z++)K=Yt*i.get(Z,Ct)+ce*i.get(Z,Ct+1),we&&(K=K+pt*i.get(Z,Ct+2),i.set(Z,Ct+2,i.get(Z,Ct+2)-K*Tt)),i.set(Z,Ct,i.get(Z,Ct)-K),i.set(Z,Ct+1,i.get(Z,Ct+1)-K*lt)}}}if(rt!==0){for(m=T-1;m>=0;m--)if(K=c[m],lt=u[m],lt===0)for(Xt=m,l.set(m,m,1),Z=m-1;Z>=0;Z--){for(Ut=l.get(Z,Z)-K,Tt=0,St=Xt;St<=m;St++)Tt=Tt+l.get(Z,St)*l.get(St,m);if(u[Z]<0)pt=Ut,ct=Tt;else if(Xt=Z,u[Z]===0?l.set(Z,m,Ut!==0?-Tt/Ut:-Tt/(V*rt)):(Yt=l.get(Z,Z+1),ce=l.get(Z+1,Z),lt=(c[Z]-K)*(c[Z]-K)+u[Z]*u[Z],ge=(Yt*ct-pt*Tt)/lt,l.set(Z,m,ge),l.set(Z+1,m,Math.abs(Yt)>Math.abs(pt)?(-Tt-Ut*ge)/Yt:(-ct-ce*ge)/pt)),ge=Math.abs(l.get(Z,m)),V*ge*ge>1)for(St=Z;St<=m;St++)l.set(St,m,l.get(St,m)/ge)}else if(lt<0)for(Xt=m-1,Math.abs(l.get(m,m-1))>Math.abs(l.get(m-1,m))?(l.set(m-1,m-1,lt/l.get(m,m-1)),l.set(m-1,m,-(l.get(m,m)-K)/l.get(m,m-1))):(ae=On(0,-l.get(m-1,m),l.get(m-1,m-1)-K,lt),l.set(m-1,m-1,ae[0]),l.set(m-1,m,ae[1])),l.set(m,m-1,0),l.set(m,m,1),Z=m-2;Z>=0;Z--){for(tt=0,wt=0,St=Xt;St<=m;St++)tt=tt+l.get(Z,St)*l.get(St,m-1),wt=wt+l.get(Z,St)*l.get(St,m);if(Ut=l.get(Z,Z)-K,u[Z]<0)pt=Ut,Tt=tt,ct=wt;else if(Xt=Z,u[Z]===0?(ae=On(-tt,-wt,Ut,lt),l.set(Z,m-1,ae[0]),l.set(Z,m,ae[1])):(Yt=l.get(Z,Z+1),ce=l.get(Z+1,Z),Lt=(c[Z]-K)*(c[Z]-K)+u[Z]*u[Z]-lt*lt,Mt=(c[Z]-K)*2*lt,Lt===0&&Mt===0&&(Lt=V*rt*(Math.abs(Ut)+Math.abs(lt)+Math.abs(Yt)+Math.abs(ce)+Math.abs(pt))),ae=On(Yt*Tt-pt*tt+lt*wt,Yt*ct-pt*wt-lt*tt,Lt,Mt),l.set(Z,m-1,ae[0]),l.set(Z,m,ae[1]),Math.abs(Yt)>Math.abs(pt)+Math.abs(lt)?(l.set(Z+1,m-1,(-tt-Ut*l.get(Z,m-1)+lt*l.get(Z,m))/Yt),l.set(Z+1,m,(-wt-Ut*l.get(Z,m)-lt*l.get(Z,m-1))/Yt)):(ae=On(-Tt-ce*l.get(Z,m-1),-ct-ce*l.get(Z,m),pt,lt),l.set(Z+1,m-1,ae[0]),l.set(Z+1,m,ae[1]))),ge=Math.max(Math.abs(l.get(Z,m-1)),Math.abs(l.get(Z,m))),V*ge*ge>1)for(St=Z;St<=m;St++)l.set(St,m-1,l.get(St,m-1)/ge),l.set(St,m,l.get(St,m)/ge)}for(Z=0;Z<T;Z++)if(Z<B||Z>U)for(St=Z;St<T;St++)i.set(Z,St,l.get(Z,St));for(St=T-1;St>=B;St--)for(Z=B;Z<=U;Z++){for(pt=0,Ct=B;Ct<=Math.min(St,U);Ct++)pt=pt+i.get(Z,Ct)*l.get(Ct,St);i.set(Z,St,pt)}}}function On(T,u,c,i){let l,m;return Math.abs(c)>Math.abs(i)?(l=i/c,m=c+l*i,[(T+l*u)/m,(u-l*T)/m]):(l=c/i,m=i+l*c,[(l*T+u)/m,(l*u-T)/m])}class Wn{constructor(u){if(u=Ae.checkMatrix(u),!u.isSymmetric())throw new Error("Matrix is not symmetric");let c=u,i=c.rows,l=new It(i,i),m=!0,B,U,V;for(U=0;U<i;U++){let G=0;for(V=0;V<U;V++){let rt=0;for(B=0;B<V;B++)rt+=l.get(V,B)*l.get(U,B);rt=(c.get(U,V)-rt)/l.get(V,V),l.set(U,V,rt),G=G+rt*rt}for(G=c.get(U,U)-G,m&&(m=G>0),l.set(U,U,Math.sqrt(Math.max(G,0))),V=U+1;V<i;V++)l.set(U,V,0)}this.L=l,this.positiveDefinite=m}isPositiveDefinite(){return this.positiveDefinite}solve(u){u=Ae.checkMatrix(u);let c=this.L,i=c.rows;if(u.rows!==i)throw new Error("Matrix dimensions do not match");if(this.isPositiveDefinite()===!1)throw new Error("Matrix is not positive definite");let l=u.columns,m=u.clone(),B,U,V;for(V=0;V<i;V++)for(U=0;U<l;U++){for(B=0;B<V;B++)m.set(V,U,m.get(V,U)-m.get(B,U)*c.get(V,B));m.set(V,U,m.get(V,U)/c.get(V,V))}for(V=i-1;V>=0;V--)for(U=0;U<l;U++){for(B=V+1;B<i;B++)m.set(V,U,m.get(V,U)-m.get(B,U)*c.get(B,V));m.set(V,U,m.get(V,U)/c.get(V,V))}return m}get lowerTriangularMatrix(){return this.L}}class wr{constructor(u,c={}){u=Ae.checkMatrix(u);let{Y:i}=c;const{scaleScores:l=!1,maxIterations:m=1e3,terminationCriteria:B=1e-10}=c;let U;if(i){if(ot.isAnyArray(i)&&typeof i[0]=="number"?i=It.columnVector(i):i=Ae.checkMatrix(i),i.rows!==u.rows)throw new Error("Y should have the same number of rows as X");U=i.getColumnVector(0)}else U=u.getColumnVector(0);let V=1,G,rt,K,lt;for(let Tt=0;Tt<m&&V>B;Tt++)K=u.transpose().mmul(U).div(U.transpose().mmul(U).get(0,0)),K=K.div(K.norm()),G=u.mmul(K).div(K.transpose().mmul(K).get(0,0)),Tt>0&&(V=G.clone().sub(lt).pow(2).sum()),lt=G.clone(),i?(rt=i.transpose().mmul(G).div(G.transpose().mmul(G).get(0,0)),rt=rt.div(rt.norm()),U=i.mmul(rt).div(rt.transpose().mmul(rt).get(0,0))):U=G;if(i){let Tt=u.transpose().mmul(G).div(G.transpose().mmul(G).get(0,0));Tt=Tt.div(Tt.norm());let ct=u.clone().sub(G.clone().mmul(Tt.transpose())),pt=U.transpose().mmul(G).div(G.transpose().mmul(G).get(0,0)),Rt=i.clone().sub(G.clone().mulS(pt.get(0,0)).mmul(rt.transpose()));this.t=G,this.p=Tt.transpose(),this.w=K.transpose(),this.q=rt,this.u=U,this.s=G.transpose().mmul(G),this.xResidual=ct,this.yResidual=Rt,this.betas=pt}else 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t=e.nodeFilter||sn,r=e.edgeFilter||sn;this.nodeFilter=t,this.edgeFilter=s=>{const{source:o,target:d}=this.graph.getEdgeDetail(s.id);return!t(o)||!t(d)?!1:r(s,o,d)},e.cache==="auto"?(this.cacheEnabled=!0,this.startAutoCache()):e.cache==="manual"?this.cacheEnabled=!0:this.cacheEnabled=!1}startAutoCache(){this.refreshCache(),this.graph.on("changed",this.handleGraphChanged)}stopAutoCache(){this.graph.off("changed",this.handleGraphChanged)}checkNodeExistence(e){this.getNode(e)}hasNode(e){if(!this.graph.hasNode(e))return!1;const t=this.graph.getNode(e);return this.nodeFilter(t)}areNeighbors(e,t){return this.checkNodeExistence(e),this.getNeighbors(t).some(r=>r.id===e)}getNode(e){const t=this.graph.getNode(e);if(!this.nodeFilter(t))throw new Error("Node not found for id: "+e);return t}getRelatedEdges(e,t){return this.checkNodeExistence(e),this.cacheEnabled?t==="in"?this.inEdgesMap.get(e):t==="out"?this.outEdgesMap.get(e):this.bothEdgesMap.get(e):this.graph.getRelatedEdges(e,t).filter(this.edgeFilter)}getDegree(e,t){return this.getRelatedEdges(e,t).length}getSuccessors(e){const r=this.getRelatedEdges(e,"out").map(s=>this.getNode(s.target));return Array.from(new Set(r))}getPredecessors(e){const r=this.getRelatedEdges(e,"in").map(s=>this.getNode(s.source));return Array.from(new Set(r))}getNeighbors(e){const t=this.getPredecessors(e),r=this.getSuccessors(e);return Array.from(new Set([...t,...r]))}hasEdge(e){if(!this.graph.hasEdge(e))return!1;const t=this.graph.getEdge(e);return this.edgeFilter(t)}getEdge(e){const t=this.graph.getEdge(e);if(!this.edgeFilter(t))throw new Error("Edge not found for id: "+e);return t}getEdgeDetail(e){const t=this.getEdge(e);return{edge:t,source:this.getNode(t.source),target:this.getNode(t.target)}}hasTreeStructure(e){return 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h&&(o=!0),!h}else if(d.type==="EdgeDataUpdated"||d.type==="EdgeUpdated")return d.id!==s.value.id;return!0}),o||r.push(s);break}case"NodeDataUpdated":case"EdgeDataUpdated":case"EdgeUpdated":{const o=r.findIndex(h=>h.type===s.type&&h.id===s.id&&(s.propertyName===void 0||h.propertyName===s.propertyName)),d=r[o];d?s.propertyName!==void 0?d.newValue=s.newValue:(r.splice(o,1),r.push(s)):r.push(s);break}case"TreeStructureDetached":{r=r.filter(o=>o.type==="TreeStructureAttached"||o.type==="TreeStructureChanged"?o.treeKey!==s.treeKey:!0),r.push(s);break}case"TreeStructureChanged":{const o=r.find(d=>d.type==="TreeStructureChanged"&&d.treeKey===s.treeKey&&d.nodeId===s.nodeId);o?o.newParentId=s.newParentId:r.push(s);break}default:r.push(s);break}}),r}checkNodeExistence(t){this.getNode(t)}hasNode(t){return this.nodeMap.has(t)}areNeighbors(t,r){return this.getNeighbors(r).some(s=>s.id===t)}getNode(t){const r=this.nodeMap.get(t);if(!r)throw new Error("Node not found for id: "+t);return r}getRelatedEdges(t,r){if(this.checkNodeExistence(t),r==="in"){const s=this.inEdgesMap.get(t);return Array.from(s)}else if(r==="out"){const s=this.outEdgesMap.get(t);return Array.from(s)}else{const s=this.bothEdgesMap.get(t);return Array.from(s)}}getDegree(t,r){return this.getRelatedEdges(t,r).length}getSuccessors(t){const s=this.getRelatedEdges(t,"out").map(o=>this.getNode(o.target));return Array.from(new Set(s))}getPredecessors(t){const s=this.getRelatedEdges(t,"in").map(o=>this.getNode(o.source));return Array.from(new Set(s))}getNeighbors(t){const r=this.getPredecessors(t),s=this.getSuccessors(t);return Array.from(new Set([...r,...s]))}doAddNode(t){if(this.hasNode(t.id))throw new Error("Node already exists: "+t.id);this.nodeMap.set(t.id,t),this.inEdgesMap.set(t.id,new Set),this.outEdgesMap.set(t.id,new Set),this.bothEdgesMap.set(t.id,new Set),this.treeIndices.forEach(r=>{r.childrenMap.set(t.id,new Set)}),this.changes.push({type:"NodeAdded",value:t})}addNodes(t){this.batch(()=>{for(const r of t)this.doAddNode(r)})}addNode(t){this.addNodes([t])}doRemoveNode(t){const r=this.getNode(t),s=this.bothEdgesMap.get(t);s==null||s.forEach(o=>this.doRemoveEdge(o.id)),this.nodeMap.delete(t),this.treeIndices.forEach(o=>{var h,p;(h=o.childrenMap.get(t))==null||h.forEach(g=>{o.parentMap.delete(g.id)});const d=o.parentMap.get(t);d&&((p=o.childrenMap.get(d.id))==null||p.delete(r)),o.parentMap.delete(t),o.childrenMap.delete(t)}),this.bothEdgesMap.delete(t),this.inEdgesMap.delete(t),this.outEdgesMap.delete(t),this.changes.push({type:"NodeRemoved",value:r})}removeNodes(t){this.batch(()=>{t.forEach(r=>this.doRemoveNode(r))})}removeNode(t){this.removeNodes([t])}updateNodeDataProperty(t,r,s){const o=this.getNode(t);this.batch(()=>{const 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ie=(W-bt)/C,de=($-Bt)/C,Jt=(X-Qt)/C;if($t&&(r[F].x-=$t*ie,r[F].y-=$t*de,r[F].z-=$t*Jt),Pt===0){const Te=zt(q);if(!Te)return;r[F].x-=Te*ie,r[F].y-=Te*de,r[F].z-=Te*Jt;return}if(Et===0||jt===0){const Te=Gt(q,h,p);if(!Te)return;r[F].x-=Te*ie,r[F].y-=Te*de,r[F].z-=Te*Jt;return}const oe=Kt(q);if(!oe)return;r[F].x-=oe*ie,r[F].y-=oe*de,r[F].z-=oe*Jt}})}updateVelocity(e,t,r,s){const{damping:o,maxSpeed:d,interval:h,dimensions:p}=s,g=e.getAllNodes();g!=null&&g.length&&g.forEach(y=>{const{id:O}=y;let L=(r[O].x+t[O].x*h)*o||.01,R=(r[O].y+t[O].y*h)*o||.01,k=p===3?(r[O].z+t[O].z*h)*o||.01:0;const F=Math.sqrt(L*L+R*R+k*k);if(F>d){const z=d/F;L=z*L,R=z*R,k=z*k}r[O]={x:L,y:R,z:k}})}updatePosition(e,t,r,s){const{distanceThresholdMode:o,interval:d,dimensions:h}=s,p=t.getAllNodes();if(!(p!=null&&p.length)){this.judgingDistance=0;return}let 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ea={gForce:!0,force2:!0,d3force:!0,fruchterman:!0,forceAtlas2:!0,force:!0,"graphin-force":!0},na={center:[0,0],comboPadding:10,treeKey:"combo"};class ra{constructor(e={}){this.options=e,this.id="comboCombined",this.options=Object.assign(Object.assign({},na),e)}execute(e,t){return A(this,void 0,void 0,function*(){return this.genericComboCombinedLayout(!1,e,t)})}assign(e,t){return A(this,void 0,void 0,function*(){yield this.genericComboCombinedLayout(!0,e,t)})}genericComboCombinedLayout(e,t,r){return A(this,void 0,void 0,function*(){const s=this.initVals(Object.assign(Object.assign({},this.options),r)),{center:o,treeKey:d,outerLayout:h}=s,p=t.getAllNodes().filter(J=>!J.data._isCombo),g=t.getAllNodes().filter(J=>J.data._isCombo),y=t.getAllEdges(),O=p==null?void 0:p.length;if(!O||O===1)return Tn(t,e,o);const L=[],R=new Map;p.forEach(J=>{R.set(J.id,J)});const k=new Map;g.forEach(J=>{k.set(J.id,J)});const F=new Map,z=this.getInnerGraphs(t,d,R,k,y,s,F);yield Promise.all(z);const C=new Map,W=[],$=new Map;let X=!0;t.getRoots(d).forEach(J=>{const mt=F.get(J.id),Et=k.get(J.id)||R.get(J.id),jt={id:J.id,data:Object.assign(Object.assign({},J.data),{x:mt.data.x||Et.data.x,y:mt.data.y||Et.data.y,fx:mt.data.fx||Et.data.fx,fy:mt.data.fy||Et.data.fy,mass:mt.data.mass||Et.data.mass,size:mt.data.size})};W.push(jt),C.set(J.id,!0),!isNaN(jt.data.x)&&jt.data.x!==0&&!isNaN(jt.data.y)&&jt.data.y!==0?X=!1:(jt.data.x=Math.random()*100,jt.data.y=Math.random()*100),zr(t,[J],Pt=>{Pt.id!==J.id&&$.set(Pt.id,J.id)},"TB",d)});const q=[];y.forEach(J=>{const mt=$.get(J.source)||J.source,Et=$.get(J.target)||J.target;mt!==Et&&C.has(mt)&&C.has(Et)&&q.push({id:J.id,source:mt,target:Et,data:{}})});let st;if(W!=null&&W.length){if(W.length===1)W[0].data.x=o[0],W[0].data.y=o[1];else{const J=new vt({nodes:W,edges:q}),mt=h||new Es;X&&ea[mt.id]&&(yield(W.length<100?new Ts:new Pr).assign(J));const Et=Object.assign({center:o,kg:5,preventOverlap:!0,animate:!1},mt.id==="force"?{gravity:1,factor:4,linkDistance:(jt,Pt,Dt)=>{const Gt=Math.max(...Pt.data.size)||32,zt=Math.max(...Dt.data.size)||32;return Gt/2+zt/2+200}}:{});st=yield Is(mt,J,Et)}F.forEach(J=>{var mt;const Et=st.nodes.find(Dt=>Dt.id===J.id);if(Et){const{x:Dt,y:Gt}=Et.data;J.data.visited=!0,J.data.x=Dt,J.data.y=Gt,L.push({id:J.id,data:{x:Dt,y:Gt}})}const{x:jt,y:Pt}=J.data;(mt=J.data.nodes)===null||mt===void 0||mt.forEach(Dt=>{L.push({id:Dt.id,data:{x:Dt.data.x+jt,y:Dt.data.y+Pt}})})}),F.forEach(({data:J})=>{const{x:mt,y:Et,visited:jt,nodes:Pt}=J;Pt==null||Pt.forEach(Dt=>{if(!jt){const Gt=L.find(zt=>zt.id===Dt.id);Gt.data.x+=mt||0,Gt.data.y+=Et||0}})})}return e&&L.forEach(J=>{t.mergeNodeData(J.id,{x:J.data.x,y:J.data.y})}),{nodes:L,edges:y}})}initVals(e){const t=Object.assign({},e),{nodeSize:r,spacing:s,comboPadding:o}=e;let d,h;if(_t(s)?h=()=>s:fn(s)?h=s:h=()=>0,t.spacing=h,!r)d=g=>{const y=h(g);return 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Ws{constructor(){super(...arguments),this.id="d3-force-3d",this.config={inputNodeAttrs:["x","y","z","vx","vy","vz","fx","fy","fz"],outputNodeAttrs:["x","y","z","vx","vy","vz"],simulationAttrs:["alpha","alphaMin","alphaDecay","alphaTarget","velocityDecay","randomSource","numDimensions"]},this.forceMap={link:Ga,manyBody:lu,center:du,collide:gu,radial:pu,x:vu,y:mu,z:yu},this.options={numDimensions:3,link:{id:e=>e.id},manyBody:{},center:{x:0,y:0,z:0}}}initSimulation(){return fu()}}var Hs=me(92546),xu=me.n(Hs);class or{constructor(e){this.id="dagre",this.options={},Object.assign(this.options,or.defaultOptions,e)}execute(e,t){return A(this,void 0,void 0,function*(){return this.genericDagreLayout(!1,e,Object.assign(Object.assign({},this.options),t))})}assign(e,t){return A(this,void 0,void 0,function*(){yield this.genericDagreLayout(!0,e,Object.assign(Object.assign({},this.options),t))})}genericDagreLayout(e,t,r){return A(this,void 0,void 0,function*(){const{nodeSize:s}=r,o=new Hs.graphlib.Graph;o.setGraph(r),o.setDefaultEdgeLabel(()=>({}));const d=t.getAllNodes(),h=t.getAllEdges();[...d,...h].some(({id:g})=>_t(g))&&console.error("Dagre layout only support string id, it will convert number to string."),t.getAllNodes().forEach(g=>{const{id:y}=g,O=Object.assign({},g.data);if(s!==void 0){const[L,R]=Yn(fn(s)?s(g):s);Object.assign(O,{width:L,height:R})}o.setNode(y.toString(),O)}),t.getAllEdges().forEach(({id:g,source:y,target:O})=>{o.setEdge(y.toString(),O.toString(),{id:g})}),xu().layout(o);const p={nodes:[],edges:[]};return o.nodes().forEach(g=>{const y=o.node(g);p.nodes.push({id:g,data:y}),e&&t.mergeNodeData(g,y)}),o.edges().forEach(g=>{const y=o.edge(g),{id:O}=y,L=f(y,["id"]),{v:R,w:k}=g;p.edges.push({id:O,source:R,target:k,data:L}),e&&t.mergeEdgeData(O,L)}),p})}}or.defaultOptions={};class $r{constructor(e){this.id=e.id||0,this.rx=e.rx,this.ry=e.ry,this.fx=0,this.fy=0,this.mass=e.mass,this.degree=e.degree,this.g=e.g||0}distanceTo(e){const t=this.rx-e.rx,r=this.ry-e.ry;return Math.hypot(t,r)}setPos(e,t){this.rx=e,this.ry=t}resetForce(){this.fx=0,this.fy=0}addForce(e){const t=e.rx-this.rx,r=e.ry-this.ry;let s=Math.hypot(t,r);s=s<1e-4?1e-4:s;const o=this.g*(this.degree+1)*(e.degree+1)/s;this.fx+=o*t/s,this.fy+=o*r/s}in(e){return e.contains(this.rx,this.ry)}add(e){const t=this.mass+e.mass,r=(this.rx*this.mass+e.rx*e.mass)/t,s=(this.ry*this.mass+e.ry*e.mass)/t,o=this.degree+e.degree,d={rx:r,ry:s,mass:t,degree:o};return new $r(d)}}class zn{constructor(e){this.xmid=e.xmid,this.ymid=e.ymid,this.length=e.length,this.massCenter=e.massCenter||[0,0],this.mass=e.mass||1}getLength(){return this.length}contains(e,t){const r=this.length/2;return e<=this.xmid+r&&e>=this.xmid-r&&t<=this.ymid+r&&t>=this.ymid-r}NW(){const e=this.xmid-this.length/4,t=this.ymid+this.length/4,r=this.length/2,s={xmid:e,ymid:t,length:r};return new zn(s)}NE(){const e=this.xmid+this.length/4,t=this.ymid+this.length/4,r=this.length/2,s={xmid:e,ymid:t,length:r};return new zn(s)}SW(){const e=this.xmid-this.length/4,t=this.ymid-this.length/4,r=this.length/2,s={xmid:e,ymid:t,length:r};return new zn(s)}SE(){const e=this.xmid+this.length/4,t=this.ymid-this.length/4,r=this.length/2,s={xmid:e,ymid:t,length:r};return new zn(s)}}class Fn{constructor(e){this.body=null,this.quad=null,this.NW=null,this.NE=null,this.SW=null,this.SE=null,this.theta=.5,e!=null&&(this.quad=e)}insert(e){if(this.body==null){this.body=e;return}this._isExternal()?(this.quad&&(this.NW=new Fn(this.quad.NW()),this.NE=new Fn(this.quad.NE()),this.SW=new Fn(this.quad.SW()),this.SE=new Fn(this.quad.SE())),this._putBody(this.body),this._putBody(e),this.body=this.body.add(e)):(this.body=this.body.add(e),this._putBody(e))}_putBody(e){this.quad&&(e.in(this.quad.NW())&&this.NW?this.NW.insert(e):e.in(this.quad.NE())&&this.NE?this.NE.insert(e):e.in(this.quad.SW())&&this.SW?this.SW.insert(e):e.in(this.quad.SE())&&this.SE&&this.SE.insert(e))}_isExternal(){return this.NW==null&&this.NE==null&&this.SW==null&&this.SE==null}updateForce(e){if(!(this.body==null||e===this.body))if(this._isExternal())e.addForce(this.body);else{const t=this.quad?this.quad.getLength():0,r=this.body.distanceTo(e);t/r<this.theta?e.addForce(this.body):(this.NW&&this.NW.updateForce(e),this.NE&&this.NE.updateForce(e),this.SW&&this.SW.updateForce(e),this.SE&&this.SE.updateForce(e))}}}const Eu={center:[0,0],width:300,height:300,kr:5,kg:1,mode:"normal",preventOverlap:!1,dissuadeHubs:!1,maxIteration:0,ks:.1,ksmax:10,tao:.1};class bu{constructor(e={}){this.options=e,this.id="forceAtlas2",this.options=Object.assign(Object.assign({},Eu),e)}execute(e,t){return A(this,void 0,void 0,function*(){return this.genericForceAtlas2Layout(!1,e,t)})}assign(e,t){return A(this,void 0,void 0,function*(){yield this.genericForceAtlas2Layout(!0,e,t)})}genericForceAtlas2Layout(e,t,r){return A(this,void 0,void 0,function*(){const s=t.getAllEdges(),o=t.getAllNodes(),d=this.formatOptions(r,o.length),{width:h,height:p,prune:g,maxIteration:y,nodeSize:O,center:L}=d;if(!(o!=null&&o.length)||o.length===1)return Tn(t,e,L);const R=o.map(C=>Ke(C,[h,p])),k=s.filter(C=>{const{source:W,target:$}=C;return W!==$}),F=new vt({nodes:R,edges:k}),z=this.getSizes(F,O);if(this.run(F,t,y,z,e,d),g){for(let W=0;W<k.length;W+=1){const{source:$,target:X}=k[W],q=F.getDegree($),st=F.getDegree($);if(q<=1){const ut=F.getNode(X);F.mergeNodeData($,{x:ut.data.x,y:ut.data.y})}else if(st<=1){const ut=F.getNode($);F.mergeNodeData(X,{x:ut.data.x,y:ut.data.y})}}const C=Object.assign(Object.assign({},d),{prune:!1,barnesHut:!1});this.run(F,t,100,z,e,C)}return{nodes:R,edges:s}})}getSizes(e,t){const r=e.getAllNodes(),s={};for(let o=0;o<r.length;o+=1){const d=r[o];s[d.id]=jr(t,void 0)(d)}return s}formatOptions(e={},t){const r=Object.assign(Object.assign({},this.options),e),{center:s,width:o,height:d,barnesHut:h,prune:p,maxIteration:g,kr:y,kg:O}=r;return r.width=!o&&typeof window!="undefined"?window.innerWidth:o,r.height=!d&&typeof window!="undefined"?window.innerHeight:d,r.center=s||[r.width/2,r.height/2],h===void 0&&t>250&&(r.barnesHut=!0),p===void 0&&t>100&&(r.prune=!0),g===0&&!p?(r.maxIteration=250,t<=200&&t>100?r.maxIteration=1e3:t>200&&(r.maxIteration=1200)):g===0&&p&&(r.maxIteration=100,t<=200&&t>100?r.maxIteration=500:t>200&&(r.maxIteration=950)),y||(r.kr=50,t>100&&t<=500?r.kr=20:t>500&&(r.kr=1)),O||(r.kg=20,t>100&&t<=500?r.kg=10:t>500&&(r.kg=1)),r}run(e,t,r,s,o,d){const{kr:h,barnesHut:p,onTick:g}=d,y=e.getAllNodes();let O=0,L=r;const R={},k={},F={};for(let z=0;z<y.length;z+=1){const{data:C,id:W}=y[z];if(R[W]=[0,0],p){const $={id:z,rx:C.x,ry:C.y,mass:1,g:h,degree:e.getDegree(W)};F[W]=new $r($)}}for(;L>0;)O=this.oneStep(e,{iter:L,preventOverlapIters:50,krPrime:100,sg:O,forces:R,preForces:k,bodies:F,sizes:s},d),L--,g==null||g({nodes:y,edges:t.getAllEdges()});return e}oneStep(e,t,r){const{iter:s,preventOverlapIters:o,krPrime:d,sg:h,preForces:p,bodies:g,sizes:y}=t;let{forces:O}=t;const{preventOverlap:L,barnesHut:R}=r,k=e.getAllNodes();for(let F=0;F<k.length;F+=1){const{id:z}=k[F];p[z]=[...O[z]],O[z]=[0,0]}return O=this.getAttrForces(e,s,o,y,O,r),R&&(L&&s>o||!L)?O=this.getOptRepGraForces(e,O,g,r):O=this.getRepGraForces(e,s,o,O,d,y,r),this.updatePos(e,O,p,h,r)}getAttrForces(e,t,r,s,o,d){const{preventOverlap:h,dissuadeHubs:p,mode:g,prune:y}=d,O=e.getAllEdges();for(let L=0;L<O.length;L+=1){const{source:R,target:k}=O[L],F=e.getNode(R),z=e.getNode(k),C=e.getDegree(R),W=e.getDegree(k);if(y&&(C<=1||W<=1))continue;const $=[z.data.x-F.data.x,z.data.y-F.data.y];let X=Math.hypot($[0],$[1]);X=X<1e-4?1e-4:X,$[0]=$[0]/X,$[1]=$[1]/X,h&&t<r&&(X=X-s[R]-s[k]);let q=X,st=q;g==="linlog"&&(q=Math.log(1+X),st=q),p&&(q=X/C,st=X/W),h&&t<r&&X<=0?(q=0,st=0):h&&t<r&&X>0&&(q=X,st=X),o[R][0]+=q*$[0],o[k][0]-=st*$[0],o[R][1]+=q*$[1],o[k][1]-=st*$[1]}return o}getOptRepGraForces(e,t,r,s){const{kg:o,center:d,prune:h}=s,p=e.getAllNodes(),g=p.length;let y=9e10,O=-9e10,L=9e10,R=-9e10;for(let W=0;W<g;W+=1){const{id:$,data:X}=p[W];h&&e.getDegree($)<=1||(r[$].setPos(X.x,X.y),X.x>=O&&(O=X.x),X.x<=y&&(y=X.x),X.y>=R&&(R=X.y),X.y<=L&&(L=X.y))}const k=Math.max(O-y,R-L),F={xmid:(O+y)/2,ymid:(R+L)/2,length:k,massCenter:d,mass:g},z=new zn(F),C=new Fn(z);for(let W=0;W<g;W+=1){const{id:$}=p[W];h&&e.getDegree($)<=1||r[$].in(z)&&C.insert(r[$])}for(let W=0;W<g;W+=1){const{id:$,data:X}=p[W],q=e.getDegree($);if(h&&q<=1)continue;r[$].resetForce(),C.updateForce(r[$]),t[$][0]-=r[$].fx,t[$][1]-=r[$].fy;const st=[X.x-d[0],X.y-d[1]];let ut=Math.hypot(st[0],st[1]);ut=ut<1e-4?1e-4:ut,st[0]=st[0]/ut,st[1]=st[1]/ut;const J=o*(q+1);t[$][0]-=J*st[0],t[$][1]-=J*st[1]}return t}getRepGraForces(e,t,r,s,o,d,h){const{preventOverlap:p,kr:g,kg:y,center:O,prune:L}=h,R=e.getAllNodes(),k=R.length;for(let F=0;F<k;F+=1){const z=R[F],C=e.getDegree(z.id);for(let q=F+1;q<k;q+=1){const st=R[q],ut=e.getDegree(st.id);if(L&&(C<=1||ut<=1))continue;const J=[st.data.x-z.data.x,st.data.y-z.data.y];let mt=Math.hypot(J[0],J[1]);mt=mt<1e-4?1e-4:mt,J[0]=J[0]/mt,J[1]=J[1]/mt,p&&t<r&&(mt=mt-d[z.id]-d[st.id]);let Et=g*(C+1)*(ut+1)/mt;p&&t<r&&mt<0?Et=o*(C+1)*(ut+1):p&&t<r&&mt===0?Et=0:p&&t<r&&mt>0&&(Et=g*(C+1)*(ut+1)/mt),s[z.id][0]-=Et*J[0],s[st.id][0]+=Et*J[0],s[z.id][1]-=Et*J[1],s[st.id][1]+=Et*J[1]}const W=[z.data.x-O[0],z.data.y-O[1]],$=Math.hypot(W[0],W[1]);W[0]=W[0]/$,W[1]=W[1]/$;const X=y*(C+1);s[z.id][0]-=X*W[0],s[z.id][1]-=X*W[1]}return s}updatePos(e,t,r,s,o){const{ks:d,tao:h,prune:p,ksmax:g}=o,y=e.getAllNodes(),O=y.length,L=[],R=[];let k=0,F=0,z=s;for(let W=0;W<O;W+=1){const{id:$}=y[W],X=e.getDegree($);if(p&&X<=1)continue;const q=[t[$][0]-r[$][0],t[$][1]-r[$][1]],st=Math.hypot(q[0],q[1]),ut=[t[$][0]+r[$][0],t[$][1]+r[$][1]],J=Math.hypot(ut[0],ut[1]);L[W]=st,R[W]=J/2,k+=(X+1)*L[W],F+=(X+1)*R[W]}const C=z;z=h*F/k,C!==0&&(z=z>1.5*C?1.5*C:z);for(let W=0;W<O;W+=1){const{id:$,data:X}=y[W],q=e.getDegree($);if(p&&q<=1||_t(X.fx)&&_t(X.fy))continue;let st=d*z/(1+z*Math.sqrt(L[W])),ut=Math.hypot(t[$][0],t[$][1]);ut=ut<1e-4?1e-4:ut;const J=g/ut;st=st>J?J:st;const mt=st*t[$][0],Et=st*t[$][1];e.mergeNodeData($,{x:X.x+mt,y:X.y+Et})}return z}}const Nu={maxIteration:1e3,gravity:10,speed:5,clustering:!1,clusterGravity:10,width:300,height:300,nodeClusterBy:"cluster"},Mu=800;class Su{constructor(e={}){this.options=e,this.id="fruchterman",this.timeInterval=0,this.running=!1,this.options=Object.assign(Object.assign({},Nu),e)}execute(e,t){return A(this,void 0,void 0,function*(){return this.genericFruchtermanLayout(!1,e,t)})}assign(e,t){return A(this,void 0,void 0,function*(){yield this.genericFruchtermanLayout(!0,e,t)})}stop(){this.timeInterval&&typeof window!="undefined"&&window.clearInterval(this.timeInterval),this.running=!1}tick(e=this.options.maxIteration||1){if(this.lastResult)return this.lastResult;for(let r=0;r<e;r++)this.runOneStep(this.lastGraph,this.lastClusterMap,this.lastOptions);const t={nodes:this.lastLayoutNodes,edges:this.lastLayoutEdges};return this.lastAssign&&t.nodes.forEach(r=>this.lastGraph.mergeNodeData(r.id,{x:r.data.x,y:r.data.y,z:this.options.dimensions===3?r.data.z:void 0})),t}genericFruchtermanLayout(e,t,r){return A(this,void 0,void 0,function*(){if(this.running)return;const s=this.formatOptions(r),{dimensions:o,width:d,height:h,center:p,clustering:g,nodeClusterBy:y,maxIteration:O,onTick:L}=s,R=t.getAllNodes(),k=t.getAllEdges();if(!(R!=null&&R.length)){const $={nodes:[],edges:k};return this.lastResult=$,$}if(R.length===1){e&&t.mergeNodeData(R[0].id,{x:p[0],y:p[1],z:o===3?p[2]:void 0});const $={nodes:[Object.assign(Object.assign({},R[0]),{data:Object.assign(Object.assign({},R[0].data),{x:p[0],y:p[1],z:o===3?p[2]:void 0})})],edges:k};return this.lastResult=$,$}const F=R.map($=>Ke($,[d,h])),z=new vt({nodes:F,edges:k}),C={};if(g&&F.forEach($=>{const X=$.data[y];C[X]||(C[X]={name:X,cx:0,cy:0,count:0})}),this.lastLayoutNodes=F,this.lastLayoutEdges=k,this.lastAssign=e,this.lastGraph=z,this.lastOptions=s,this.lastClusterMap=C,typeof window=="undefined")return;let W=0;return new Promise($=>{this.timeInterval=window.setInterval(()=>{if(!this.running){$({nodes:F,edges:k});return}this.runOneStep(z,C,s),e&&F.forEach(({id:X,data:q})=>t.mergeNodeData(X,{x:q.x,y:q.y,z:o===3?q.z:void 0})),L==null||L({nodes:F,edges:k}),W++,W>=O&&(window.clearInterval(this.timeInterval),$({nodes:F,edges:k}))},0),this.running=!0})})}formatOptions(e={}){const t=Object.assign(Object.assign({},this.options),e),{clustering:r,nodeClusterBy:s}=t,{center:o,width:d,height:h}=t;return t.width=!d&&typeof window!="undefined"?window.innerWidth:d,t.height=!h&&typeof window!="undefined"?window.innerHeight:h,t.center=o||[t.width/2,t.height/2],t.clustering=r&&!!s,t}runOneStep(e,t,r){const{dimensions:s,height:o,width:d,gravity:h,center:p,speed:g,clustering:y,nodeClusterBy:O,clusterGravity:L}=r,R=o*d,k=Math.sqrt(R)/10,F=e.getAllNodes(),z=R/(F.length+1),C=Math.sqrt(z),W={};if(this.applyCalculate(e,W,C,z),y){for(const X in t)t[X].cx=0,t[X].cy=0,t[X].count=0;F.forEach(X=>{const{data:q}=X,st=t[q[O]];_t(q.x)&&(st.cx+=q.x),_t(q.y)&&(st.cy+=q.y),st.count++});for(const X in t)t[X].cx/=t[X].count,t[X].cy/=t[X].count;const $=L||h;F.forEach((X,q)=>{const{id:st,data:ut}=X;if(!_t(ut.x)||!_t(ut.y))return;const J=t[ut[O]],mt=Math.sqrt((ut.x-J.cx)*(ut.x-J.cx)+(ut.y-J.cy)*(ut.y-J.cy)),Et=C*$;W[st].x-=Et*(ut.x-J.cx)/mt,W[st].y-=Et*(ut.y-J.cy)/mt})}F.forEach(($,X)=>{const{id:q,data:st}=$;if(!_t(st.x)||!_t(st.y))return;const ut=.01*C*h;W[q].x-=ut*(st.x-p[0]),W[q].y-=ut*(st.y-p[1]),s===3&&(W[q].z-=ut*(st.z-p[2]))}),F.forEach(($,X)=>{const{id:q,data:st}=$;if(_t(st.fx)&&_t(st.fy)){st.x=st.fx,st.y=st.fy,s===3&&(st.z=st.fz);return}if(!_t(st.x)||!_t(st.y))return;const ut=Math.sqrt(W[q].x*W[q].x+W[q].y*W[q].y+(s===3?W[q].z*W[q].z:0));if(ut>0){const J=Math.min(k*(g/Mu),ut);e.mergeNodeData(q,{x:st.x+W[q].x/ut*J,y:st.y+W[q].y/ut*J,z:s===3?st.z+W[q].z/ut*J:void 0})}})}applyCalculate(e,t,r,s){this.calRepulsive(e,t,s),this.calAttractive(e,t,r)}calRepulsive(e,t,r){const s=e.getAllNodes();s.forEach(({data:o,id:d},h)=>{t[d]={x:0,y:0,z:0},s.forEach(({data:p,id:g},y)=>{if(h<=y||!_t(o.x)||!_t(p.x)||!_t(o.y)||!_t(p.y))return;let 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h.leftSingularVectors.toJSON().map(g=>xn.mul([g],[p]).toJSON()[0].splice(0,n))}catch(r){const s=[];for(let o=0;o<e.length;o++){const d=Math.random()*t,h=Math.random()*t;s.push([d,h])}return s}},Iu=800,Pu={iterations:10,height:10,width:10,speed:100,gravity:10,k:5},Ru=(n,e)=>{const t=Object.assign(Object.assign({},Pu),e),{positions:r,iterations:s,width:o,k:d,speed:h=100,strictRadial:p,focusIdx:g,radii:y=[],nodeSizeFunc:O}=t,L=n.getAllNodes(),R=[],k=o/10;for(let F=0;F<s;F++)r.forEach((z,C)=>{R[C]={x:0,y:0}}),Lu(L,r,R,d,y,O),Cu(r,R,h,p,g,k,o,y);return r},Lu=(n,e,t,r,s,o)=>{e.forEach((d,h)=>{t[h]={x:0,y:0},e.forEach((p,g)=>{if(h===g||s[h]!==s[g])return;let y=d.x-p.x,O=d.y-p.y,L=Math.sqrt(y*y+O*O);if(L===0){L=1;const R=h>g?1:-1;y=.01*R,O=.01*R}if(L<o(n[h])/2+o(n[g])/2){const R=r*r/L;t[h].x+=y/L*R,t[h].y+=O/L*R}})})},Cu=(n,e,t,r,s,o,d,h)=>{const p=o||d/10;return r&&e.forEach((g,y)=>{const O=n[y].x-n[s].x,L=n[y].y-n[s].y,R=Math.sqrt(O*O+L*L);let k=L/R,F=-O/R;const z=Math.sqrt(g.x*g.x+g.y*g.y);let C=Math.acos((k*g.x+F*g.y)/z);C>Math.PI/2&&(C-=Math.PI/2,k*=-1,F*=-1);const W=Math.cos(C)*z;g.x=k*W,g.y=F*W}),n.forEach((g,y)=>{if(y===s)return;const O=Math.sqrt(e[y].x*e[y].x+e[y].y*e[y].y);if(O>0&&y!==s){const L=Math.min(p*(t/Iu),O);if(g.x+=e[y].x/O*L,g.y+=e[y].y/O*L,r){let R=g.x-n[s].x,k=g.y-n[s].y;const F=Math.sqrt(R*R+k*k);R=R/F*h[y],k=k/F*h[y],g.x=n[s].x+R,g.y=n[s].y+k}}}),n},Du={maxIteration:1e3,focusNode:null,unitRadius:null,linkDistance:50,preventOverlap:!1,strictRadial:!0,maxPreventOverlapIteration:200,sortStrength:10};class zu{constructor(e={}){this.options=e,this.id="radial",this.options=Object.assign(Object.assign({},Du),e)}execute(e,t){return A(this,void 0,void 0,function*(){return this.genericRadialLayout(!1,e,t)})}assign(e,t){return A(this,void 0,void 0,function*(){yield this.genericRadialLayout(!0,e,t)})}genericRadialLayout(e,t,r){return A(this,void 0,void 0,function*(){const s=Object.assign(Object.assign({},this.options),r),{width:o,height:d,center:h,focusNode:p,unitRadius:g,nodeSize:y,nodeSpacing:O,strictRadial:L,preventOverlap:R,maxPreventOverlapIteration:k,sortBy:F,linkDistance:z=50,sortStrength:C=10,maxIteration:W=1e3}=s,$=t.getAllNodes(),X=t.getAllEdges(),q=!o&&typeof window!="undefined"?window.innerWidth:o,st=!d&&typeof window!="undefined"?window.innerHeight:d,ut=h||[q/2,st/2];if(!($!=null&&$.length)||$.length===1)return Tn(t,e,ut);let J=$[0];if($n(p)){for(let Ee=0;Ee<$.length;Ee++)if($[Ee].id===p){J=$[Ee];break}}else J=p||$[0];const mt=Bu($,J.id),Et=Os({nodes:$,edges:X},!1),jt=Ss(Et),Pt=Vu(jt,mt);Uu(jt,mt,Pt+1);const Dt=jt[mt];let Gt=q-ut[0]>ut[0]?ut[0]:q-ut[0],zt=st-ut[1]>ut[1]?ut[1]:st-ut[1];Gt===0&&(Gt=q/2),zt===0&&(zt=st/2);const Kt=Math.min(Gt,zt),le=Math.max(...Dt),bt=[],Bt=g||Kt/le;Dt.forEach((Ee,qe)=>{bt[qe]=Ee*Bt});const Qt=Fu($,jt,z,bt,Bt,F,C),$t=ku(Qt),ie=ju(z,Qt,z);let de=ie.map(([Ee,qe])=>({x:(isNaN(Ee)?Math.random()*z:Ee)-ie[mt][0],y:(isNaN(qe)?Math.random()*z:qe)-ie[mt][1]}));this.run(W,de,$t,Qt,bt,mt);let Jt;if(R){Jt=jr(y,O);const Ee={nodes:$,nodeSizeFunc:Jt,positions:de,radii:bt,height:st,width:q,strictRadial:!!L,focusIdx:mt,iterations:k||200,k:de.length/4.5};de=Ru(t,Ee)}const oe=[];return de.forEach((Ee,qe)=>{const gn=Ke($[qe]);gn.data.x=Ee.x+ut[0],gn.data.y=Ee.y+ut[1],oe.push(gn)}),e&&oe.forEach(Ee=>t.mergeNodeData(Ee.id,{x:Ee.data.x,y:Ee.data.y})),{nodes:oe,edges:X}})}run(e,t,r,s,o,d){for(let h=0;h<=e;h++){const p=h/e;this.oneIteration(p,t,o,s,r,d)}}oneIteration(e,t,r,s,o,d){const h=1-e;t.forEach((p,g)=>{const y=As(p,{x:0,y:0}),O=y===0?0:1/y;if(g===d)return;let L=0,R=0,k=0;t.forEach((z,C)=>{if(g===C)return;const W=As(p,z),$=W===0?0:1/W,X=s[C][g];k+=o[g][C],L+=o[g][C]*(z.x+X*(p.x-z.x)*$),R+=o[g][C]*(z.y+X*(p.y-z.y)*$)});const F=r[g]===0?0:1/r[g];k*=h,k+=e*F*F,L*=h,L+=e*F*p.x*O,p.x=L/k,R*=h,R+=e*F*p.y*O,p.y=R/k})}}const Fu=(n,e,t,r,s,o,d)=>{if(!n)return[];const h=[];if(e){const p={};e.forEach((g,y)=>{const O=[];g.forEach((L,R)=>{var k,F;if(y===R)O.push(0);else if(r[y]===r[R])if(o==="data")O.push(L*(Math.abs(y-R)*d)/(r[y]/s));else if(o){let z,C;if(p[n[y].id])z=p[n[y].id];else{const W=(o==="id"?n[y].id:(k=n[y].data)===null||k===void 0?void 0:k[o])||0;$n(W)?z=W.charCodeAt(0):z=W,p[n[y].id]=z}if(p[n[R].id])C=p[n[R].id];else{const W=(o==="id"?n[R].id:(F=n[R].data)===null||F===void 0?void 0:F[o])||0;$n(W)?C=W.charCodeAt(0):C=W,p[n[R].id]=C}O.push(L*(Math.abs(z-C)*d)/(r[y]/s))}else O.push(L*t/(r[y]/s));else{const z=(t+s)/2;O.push(L*z)}}),h.push(O)})}return h},ku=n=>{const e=n.length,t=n[0].length,r=[];for(let s=0;s<e;s++){const o=[];for(let d=0;d<t;d++)n[s][d]!==0?o.push(1/(n[s][d]*n[s][d])):o.push(0);r.push(o)}return r},Bu=(n,e)=>{let t=-1;return n.forEach((r,s)=>{r.id===e&&(t=s)}),Math.max(t,0)},Uu=(n,e,t)=>{const r=n.length;for(let s=0;s<r;s++)if(n[e][s]===1/0){n[e][s]=t,n[s][e]=t;for(let 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p&&p.forEach(F=>{R.push({id:F.id,data:{x:(Math.random()-.5)*g*y+L[0],y:(Math.random()-.5)*g*O+L[1]}})}),e&&R.forEach(F=>t.mergeNodeData(F.id,{x:F.data.x,y:F.data.y})),{nodes:R,edges:t.getAllEdges()}})}}const Yu={circular:eo,concentric:Pr,mds:Ts,random:Wu,grid:Au,radial:zu,force:Es,d3force:Ws,"d3-force-3d":wu,fruchterman:Su,forceAtlas2:bu,dagre:or,antvDagre:Hi,comboCombined:ra};let hn;Wt({stopLayout(){hn!=null&&hn.stop&&hn.stop()},calculateLayout(n,e){return A(this,void 0,void 0,function*(){const{layout:{id:t,options:r,iterations:s},nodes:o,edges:d}=n,h=new vt({nodes:o,edges:d}),p=Yu[t];if(p)hn=new p(r);else throw new Error(`Unknown layout id: ${t}`);let g=yield hn.execute(h);return js(hn)&&(hn.stop(),g=hn.tick(s)),[g,e]})}})})()})();
}());