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e(t).signPropagatingRightShift(n)},i.prototype.rightShift=function(t){return typeof t=="number"?this.rightShiftS(t):this.rightShiftM(t)},i.prototype.rightShiftS=function(t){for(let n=0;n>>t);return this},i.prototype.rightShiftM=function(t){if(t=e.checkMatrix(t),this.rows!==t.rows||this.columns!==t.columns)throw new RangeError("Matrices dimensions must be equal");for(let n=0;n>>t.get(n,s));return this},i.rightShift=function(t,n){return new e(t).rightShift(n)},i.prototype.zeroFillRightShift=i.prototype.rightShift,i.prototype.zeroFillRightShiftS=i.prototype.rightShiftS,i.prototype.zeroFillRightShiftM=i.prototype.rightShiftM,i.zeroFillRightShift=i.rightShift,i.prototype.not=function(){for(let t=0;tt)throw new RangeError("Row index out of range")}function nt(i,e,o){let t=o?i.columns:i.columns-1;if(e<0||e>t)throw new RangeError("Column index out of range")}function mt(i,e){if(e.to1DArray&&(e=e.to1DArray()),e.length!==i.columns)throw new RangeError("vector size must be the same as the number 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t=1;to&&(o=this.get(t,e));return o}maxColumnIndex(e){nt(this,e),ft(this);let o=this.get(0,e),t=[0,e];for(let n=1;no&&(o=this.get(n,e),t[0]=n);return t}minColumn(e){if(nt(this,e),this.isEmpty())return NaN;let o=this.get(0,e);for(let t=1;t=t)throw new RangeError("min must be smaller than max");let n=new I(this.rows,this.columns);for(let s=0;s0&&Re(l,{min:o,max:t,output:l}),n.setRow(s,l)}return n}scaleColumns(e={}){if(typeof e!="object")throw new TypeError("options must be an object");const{min:o=0,max:t=1}=e;if(!Number.isFinite(o))throw new TypeError("min must be a number");if(!Number.isFinite(t))throw new TypeError("max must be a number");if(o>=t)throw new RangeError("min must be smaller than max");let n=new I(this.rows,this.columns);for(let s=0;st||o<0||o>=this.columns||t<0||t>=this.columns)throw new RangeError("Argument out of range");let n=new I(e.length,t-o+1);for(let s=0;s=this.rows)throw new RangeError(`Row index out of range: ${e[s]}`);n.set(s,l-o,this.get(e[s],l))}return n}subMatrixColumn(e,o,t){if(o===void 0&&(o=0),t===void 0&&(t=this.rows-1),o>t||o<0||o>=this.rows||t<0||t>=this.rows)throw new RangeError("Argument out of range");let n=new I(t-o+1,e.length);for(let s=0;s=this.columns)throw new RangeError(`Column index out of range: ${e[s]}`);n.set(l-o,s,this.get(l,e[s]))}return n}setSubMatrix(e,o,t){if(e=I.checkMatrix(e),e.isEmpty())return this;let n=o+e.rows-1,s=t+e.columns-1;$t(this,o,n,t,s);for(let l=0;ltypeof e=="number")}Q.random=Q.rand;Q.randomInt=Q.randInt;Q.diagonal=Q.diag;Q.prototype.diagonal=Q.prototype.diag;Q.identity=Q.eye;Q.prototype.negate=Q.prototype.neg;Q.prototype.tensorProduct=Q.prototype.kroneckerProduct;var Ut,te,ut;let I=(ut=class extends Q{constructor(o,t){super();Ot(this,Ut);fe(this,"data");if(ut.isMatrix(o))Bt(this,Ut,te).call(this,o.rows,o.columns),ut.copy(o,this);else if(Number.isInteger(o)&&o>=0)Bt(this,Ut,te).call(this,o,t);else if(tt.isAnyArray(o)){const n=o;if(o=n.length,t=o?n[0].length:0,typeof t!="number")throw new TypeError("Data must be a 2D array with at least one element");this.data=[];for(let s=0;s"u"&&(t=o,o=this.columns),nt(this,o,!0),t=gt(this,t);for(let n=0;n=0)for(let n=0;n=0)Rt(this,$,new I(o,o));else if(Rt(this,$,new I(o)),!this.isSymmetric())throw new TypeError("not symmetric data")}get size(){return st(this,$).size}get rows(){return st(this,$).rows}get columns(){return st(this,$).columns}get diagonalSize(){return this.rows}static isSymmetricMatrix(o){return I.isMatrix(o)&&o.klassType==="SymmetricMatrix"}static zeros(o){return new this(o)}static ones(o){return new this(o).fill(1)}clone(){const o=new Qt(this.diagonalSize);for(const[t,n,s]of this.upperRightEntries())o.set(t,n,s);return o}toMatrix(){return new I(this)}get(o,t){return st(this,$).get(o,t)}set(o,t,n){return st(this,$).set(o,t,n),st(this,$).set(t,o,n),this}removeCross(o){return st(this,$).removeRow(o),st(this,$).removeColumn(o),this}addCross(o,t){t===void 0&&(t=o,o=this.diagonalSize);const n=t.slice();return n.splice(o,1),st(this,$).addRow(o,n),st(this,$).addColumn(o,t),this}applyMask(o){if(o.length!==this.diagonalSize)throw new RangeError("Mask size do not match with matrix size");const t=[];for(const[n,s]of o.entries())s||t.push(n);t.reverse();for(const n of t)this.removeCross(n);return this}toCompact(){const{diagonalSize:o}=this,t=new Array(o*(o+1)/2);for(let n=0,s=0,l=0;l=o&&(n=++s);return t}static fromCompact(o){const t=o.length,n=(Math.sqrt(8*t+1)-1)/2;if(!Number.isInteger(n))throw new TypeError(`This array is not a compact representation of a Symmetric Matrix, ${JSON.stringify(o)}`);const s=new Qt(n);for(let l=0,r=0,h=0;h=n&&(l=++r);return s}*upperRightEntries(){for(let o=0,t=0;o=this.diagonalSize&&(t=++o)}}*upperRightValues(){for(let o=0,t=0;o=this.diagonalSize&&(t=++o)}};$=new WeakMap;let at=Qt;at.prototype.klassType="SymmetricMatrix";class jt extends at{static isDistanceMatrix(e){return at.isSymmetricMatrix(e)&&e.klassSubType==="DistanceMatrix"}constructor(e){if(super(e),!this.isDistance())throw new TypeError("Provided arguments do no produce a distance matrix")}set(e,o,t){return e===o&&(t=0),super.set(e,o,t)}addCross(e,o){return o===void 0&&(o=e,e=this.diagonalSize),o=o.slice(),o[e]=0,super.addCross(e,o)}toSymmetricMatrix(){return new at(this)}clone(){const e=new jt(this.diagonalSize);for(const[o,t,n]of this.upperRightEntries())o!==t&&e.set(o,t,n);return e}toCompact(){const{diagonalSize:e}=this,o=(e-1)*e/2,t=new Array(o);for(let n=1,s=0,l=0;l=e&&(n=++s+1);return t}static fromCompact(e){const o=e.length;if(o===0)return new this(0);const t=(Math.sqrt(8*o+1)+1)/2;if(!Number.isInteger(t))throw new TypeError(`This array is not a compact representation of a DistanceMatrix, ${JSON.stringify(e)}`);const n=new this(t);for(let s=1,l=0,r=0;r=t&&(s=++l+1);return n}}jt.prototype.klassSubType="DistanceMatrix";class lt extends Q{constructor(e,o,t){super(),this.matrix=e,this.rows=o,this.columns=t}}class pn extends lt{constructor(e,o){nt(e,o),super(e,e.rows,1),this.column=o}set(e,o,t){return this.matrix.set(e,this.column,t),this}get(e){return this.matrix.get(e,this.column)}}class dn extends lt{constructor(e,o){le(e,o),super(e,e.rows,o.length),this.columnIndices=o}set(e,o,t){return this.matrix.set(e,this.columnIndices[o],t),this}get(e,o){return this.matrix.get(e,this.columnIndices[o])}}class wn extends lt{constructor(e){super(e,e.rows,e.columns)}set(e,o,t){return this.matrix.set(e,this.columns-o-1,t),this}get(e,o){return this.matrix.get(e,this.columns-o-1)}}class En extends lt{constructor(e){super(e,e.rows,e.columns)}set(e,o,t){return this.matrix.set(this.rows-e-1,o,t),this}get(e,o){return this.matrix.get(this.rows-e-1,o)}}class _n extends lt{constructor(e,o){ot(e,o),super(e,1,e.columns),this.row=o}set(e,o,t){return this.matrix.set(this.row,o,t),this}get(e,o){return this.matrix.get(this.row,o)}}class yn extends lt{constructor(e,o){re(e,o),super(e,o.length,e.columns),this.rowIndices=o}set(e,o,t){return this.matrix.set(this.rowIndices[e],o,t),this}get(e,o){return this.matrix.get(this.rowIndices[e],o)}}class Ct extends lt{constructor(e,o,t){re(e,o),le(e,t),super(e,o.length,t.length),this.rowIndices=o,this.columnIndices=t}set(e,o,t){return this.matrix.set(this.rowIndices[e],this.columnIndices[o],t),this}get(e,o){return this.matrix.get(this.rowIndices[e],this.columnIndices[o])}}class Sn extends lt{constructor(e,o,t,n,s){$t(e,o,t,n,s),super(e,t-o+1,s-n+1),this.startRow=o,this.startColumn=n}set(e,o,t){return this.matrix.set(this.startRow+e,this.startColumn+o,t),this}get(e,o){return this.matrix.get(this.startRow+e,this.startColumn+o)}}class Un extends lt{constructor(e){super(e,e.columns,e.rows)}set(e,o,t){return this.matrix.set(o,e,t),this}get(e,o){return this.matrix.get(o,e)}}class eo extends Q{constructor(e,o={}){const{rows:t=1}=o;if(e.length%t!==0)throw new Error("the data length is not divisible by the number of rows");super(),this.rows=t,this.columns=e.length/t,this.data=e}set(e,o,t){let n=this._calculateIndex(e,o);return this.data[n]=t,this}get(e,o){let t=this._calculateIndex(e,o);return this.data[t]}_calculateIndex(e,o){return e*this.columns+o}}class et extends Q{constructor(e){super(),this.data=e,this.rows=e.length,this.columns=e[0].length}set(e,o,t){return this.data[e][o]=t,this}get(e,o){return this.data[e][o]}}function qn(i,e){if(tt.isAnyArray(i))return i[0]&&tt.isAnyArray(i[0])?new et(i):new eo(i,e);throw new Error("the argument is not an array")}class Yt{constructor(e){e=et.checkMatrix(e);let o=e.clone(),t=o.rows,n=o.columns,s=new Float64Array(t),l=1,r,h,c,f,u,g,d,p,E;for(r=0;rMath.abs(p[f])&&(f=r);if(f!==h){for(c=0;c=0;c--){for(h=0;hl?n.set(s,l,e.get(s,l)):s===l?n.set(s,l,1):n.set(s,l,0);return n}get upperTriangularMatrix(){let e=this.LU,o=e.rows,t=e.columns,n=new I(o,t);for(let s=0;sMath.abs(e)?(o=e/i,Math.abs(i)*Math.sqrt(1+o*o)):e!==0?(o=i/e,Math.abs(e)*Math.sqrt(1+o*o)):0}class he{constructor(e){e=et.checkMatrix(e);let o=e.clone(),t=e.rows,n=e.columns,s=new Float64Array(n),l,r,h,c;for(h=0;h=0;c--){for(h=0;h=0;r--){for(s=0;s=0;m--)if(p[m]!==0){for(let S=m+1;S=0;m--){if(m0;){let m,S;for(m=b-2;m>=-1&&m!==-1;m--){const v=Number.MIN_VALUE+V*Math.abs(p[m]+Math.abs(p[m+1]));if(Math.abs(a[m])<=v||Number.isNaN(a[m])){a[m]=0;break}}if(m===b-2)S=4;else{let v;for(v=b-1;v>=m&&v!==m;v--){let y=(v!==b?Math.abs(a[v]):0)+(v!==m+1?Math.abs(a[v-1]):0);if(Math.abs(p[v])<=V*y){p[v]=0;break}}v===m?S=3:v===b-1?S=1:(S=2,m=v)}switch(m++,S){case 1:{let v=a[b-2];a[b-2]=0;for(let y=b-2;y>=m;y--){let M=rt(p[y],v),K=p[y]/M,A=v/M;if(p[y]=M,y!==m&&(v=-A*a[y-1],a[y-1]=K*a[y-1]),c)for(let W=0;W=p[m+1]);){let v=p[m];if(p[m]=p[m+1],p[m+1]=v,c&&mo&&s.set(f,u,e.get(f,u)/this.s[u]);let l=this.U,r=l.rows,h=l.columns,c=new I(t,r);for(let f=0;fe&&o++;return o}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 I.diag(this.s)}}function vn(i,e=!1){return i=et.checkMatrix(i),e?new wt(i).inverse():oo(i,I.eye(i.rows))}function oo(i,e,o=!1){return i=et.checkMatrix(i),e=et.checkMatrix(e),o?new wt(i).solve(e):i.isSquare()?new Yt(i).solve(e):new he(i).solve(e)}function Kt(i){if(i=I.checkMatrix(i),i.isSquare()){if(i.columns===0)return 1;let e,o,t,n;if(i.columns===2)return e=i.get(0,0),o=i.get(0,1),t=i.get(1,0),n=i.get(1,1),e*n-o*t;if(i.columns===3){let s,l,r;return s=new Ct(i,[1,2],[1,2]),l=new Ct(i,[1,2],[0,2]),r=new Ct(i,[1,2],[0,1]),e=i.get(0,0),o=i.get(0,1),t=i.get(0,2),e*Kt(s)-o*Kt(l)+t*Kt(r)}else return new Yt(i).determinant}else throw Error("determinant can only be calculated for a square matrix")}function Rn(i,e){let o=[];for(let t=0;tn)return new Array(e.rows+1).fill(0);{let s=e.addRow(o,[0]);for(let l=0;le?s[l]=1/s[l]:s[l]=0;return n.mmul(I.diag(s).mmul(t.transpose()))}function kn(i,e=i,o={}){i=new I(i);let t=!1;if(typeof e=="object"&&!I.isMatrix(e)&&!tt.isAnyArray(e)?(o=e,e=i,t=!0):e=new I(e),i.rows!==e.rows)throw new TypeError("Both matrices must have the same number of rows");const{center:n=!0}=o;n&&(i=i.center("column"),t||(e=e.center("column")));const s=i.transpose().mmul(e);for(let l=0;l0?n.set(s,s+1,o[s]):o[s]<0&&n.set(s,s-1,o[s])}return n}}function Mn(i,e,o,t){let n,s,l,r,h,c,f,u;for(h=0;h0;r--){for(u=0,l=0,c=0;c0&&(s=-s),e[r]=u*s,l=l-n*s,o[r-1]=n-s,h=0;hc)do{for(n=o[c],u=(o[c+1]-n)/(2*e[c]),g=rt(u,1),u<0&&(g=-g),o[c]=e[c]/(u+g),o[c+1]=e[c]*(u+g),d=o[c+1],s=n-o[c],l=c+2;l=c;l--)for(q=E,E=p,U=_,n=p*e[l],s=p*u,g=rt(u,e[l]),e[l+1]=_*g,_=e[l]/g,p=u/g,u=p*o[l]-_*n,o[l+1]=s+_*(p*n+_*o[l]),h=0;hF*R);o[c]=o[c]+w,e[c]=0}for(l=0;l=u;c--)o[c]=e.get(c,u-1)/g,h+=o[c]*o[c];for(r=Math.sqrt(h),o[u]>0&&(r=-r),h=h-o[u]*r,o[u]=o[u]-r,f=u;f=u;c--)l+=o[c]*e.get(c,f);for(l=l/h,c=u;c<=s;c++)e.set(c,f,e.get(c,f)-l*o[c])}for(c=0;c<=s;c++){for(l=0,f=s;f>=u;f--)l+=o[f]*e.get(c,f);for(l=l/h,f=u;f<=s;f++)e.set(c,f,e.get(c,f)-l*o[f])}o[u]=g*o[u],e.set(u,u-1,g*r)}}for(c=0;c=n+1;u--)if(e.get(u,u-1)!==0){for(c=u+1;c<=s;c++)o[c]=e.get(c,u-1);for(f=u;f<=s;f++){for(r=0,c=u;c<=s;c++)r+=o[c]*t.get(c,f);for(r=r/o[u]/e.get(u,u-1),c=u;c<=s;c++)t.set(c,f,t.get(c,f)+r*o[c])}}}function Kn(i,e,o,t,n){let s=i-1,l=0,r=i-1,h=Number.EPSILON,c=0,f=0,u=0,g=0,d=0,p=0,E=0,q=0,a,_,U,w,R,F,b,k,V,m,S,v,y,M,K;for(a=0;ar)&&(o[a]=n.get(a,a),e[a]=0),_=Math.max(a-1,0);_=l;){for(w=s;w>l&&(p=Math.abs(n.get(w-1,w-1))+Math.abs(n.get(w,w)),p===0&&(p=f),!(Math.abs(n.get(w,w-1))=0){for(E=u>=0?u+E:u-E,o[s-1]=k+E,o[s]=o[s-1],E!==0&&(o[s]=k-b/E),e[s-1]=0,e[s]=0,k=n.get(s,s-1),p=Math.abs(k)+Math.abs(E),u=k/p,g=E/p,d=Math.sqrt(u*u+g*g),u=u/d,g=g/d,_=s-1;_0)){for(p=Math.sqrt(p),V=w&&(E=n.get(R,R),d=k-E,p=V-E,u=(d*p-b)/n.get(R+1,R)+n.get(R,R+1),g=n.get(R+1,R+1)-E-d-p,d=n.get(R+2,R+1),p=Math.abs(u)+Math.abs(g)+Math.abs(d),u=u/p,g=g/p,d=d/p,!(R===w||Math.abs(n.get(R,R-1))*(Math.abs(g)+Math.abs(d))R+2&&n.set(a,a-3,0);for(U=R;U<=s-1&&(M=U!==s-1,U!==R&&(u=n.get(U,U-1),g=n.get(U+1,U-1),d=M?n.get(U+2,U-1):0,k=Math.abs(u)+Math.abs(g)+Math.abs(d),k!==0&&(u=u/k,g=g/k,d=d/k)),k!==0);U++)if(p=Math.sqrt(u*u+g*g+d*d),u<0&&(p=-p),p!==0){for(U!==R?n.set(U,U-1,-p*k):w!==R&&n.set(U,U-1,-n.get(U,U-1)),u=u+p,k=u/p,V=g/p,E=d/p,g=g/u,d=d/u,_=U;_=0;s--)if(u=o[s],g=e[s],g===0)for(w=s,n.set(s,s,1),a=s-1;a>=0;a--){for(b=n.get(a,a)-u,d=0,_=w;_<=s;_++)d=d+n.get(a,_)*n.get(_,s);if(e[a]<0)E=b,p=d;else if(w=a,e[a]===0?n.set(a,s,b!==0?-d/b:-d/(h*f)):(k=n.get(a,a+1),V=n.get(a+1,a),g=(o[a]-u)*(o[a]-u)+e[a]*e[a],F=(k*p-E*d)/g,n.set(a,s,F),n.set(a+1,s,Math.abs(k)>Math.abs(E)?(-d-b*F)/k:(-p-V*F)/E)),F=Math.abs(n.get(a,s)),h*F*F>1)for(_=a;_<=s;_++)n.set(_,s,n.get(_,s)/F)}else if(g<0)for(w=s-1,Math.abs(n.get(s,s-1))>Math.abs(n.get(s-1,s))?(n.set(s-1,s-1,g/n.get(s,s-1)),n.set(s-1,s,-(n.get(s,s)-u)/n.get(s,s-1))):(K=kt(0,-n.get(s-1,s),n.get(s-1,s-1)-u,g),n.set(s-1,s-1,K[0]),n.set(s-1,s,K[1])),n.set(s,s-1,0),n.set(s,s,1),a=s-2;a>=0;a--){for(m=0,S=0,_=w;_<=s;_++)m=m+n.get(a,_)*n.get(_,s-1),S=S+n.get(a,_)*n.get(_,s);if(b=n.get(a,a)-u,e[a]<0)E=b,d=m,p=S;else if(w=a,e[a]===0?(K=kt(-m,-S,b,g),n.set(a,s-1,K[0]),n.set(a,s,K[1])):(k=n.get(a,a+1),V=n.get(a+1,a),v=(o[a]-u)*(o[a]-u)+e[a]*e[a]-g*g,y=(o[a]-u)*2*g,v===0&&y===0&&(v=h*f*(Math.abs(b)+Math.abs(g)+Math.abs(k)+Math.abs(V)+Math.abs(E))),K=kt(k*d-E*m+g*S,k*p-E*S-g*m,v,y),n.set(a,s-1,K[0]),n.set(a,s,K[1]),Math.abs(k)>Math.abs(E)+Math.abs(g)?(n.set(a+1,s-1,(-m-b*n.get(a,s-1)+g*n.get(a,s))/k),n.set(a+1,s,(-S-b*n.get(a,s)-g*n.get(a,s-1))/k)):(K=kt(-d-V*n.get(a,s-1),-p-V*n.get(a,s),E,g),n.set(a+1,s-1,K[0]),n.set(a+1,s,K[1]))),F=Math.max(Math.abs(n.get(a,s-1)),Math.abs(n.get(a,s))),h*F*F>1)for(_=a;_<=s;_++)n.set(_,s-1,n.get(_,s-1)/F),n.set(_,s,n.get(_,s)/F)}for(a=0;ar)for(_=a;_=l;_--)for(a=l;a<=r;a++){for(E=0,U=l;U<=Math.min(_,r);U++)E=E+t.get(a,U)*n.get(U,_);t.set(a,_,E)}}}function kt(i,e,o,t){let n,s;return Math.abs(o)>Math.abs(t)?(n=t/o,s=o+n*t,[(i+n*e)/s,(e-n*i)/s]):(n=o/t,s=t+n*o,[(n*i+e)/s,(n*e-i)/s])}class so{constructor(e){if(e=et.checkMatrix(e),!e.isSymmetric())throw new Error("Matrix is not symmetric");let o=e,t=o.rows,n=new I(t,t),s=!0,l,r,h;for(r=0;r0,n.set(r,r,Math.sqrt(Math.max(c,0))),h=r+1;h=0;h--)for(r=0;rl;d++)u=e.transpose().mmul(r).div(r.transpose().mmul(r).get(0,0)),u=u.div(u.norm()),c=e.mmul(u).div(u.transpose().mmul(u).get(0,0)),d>0&&(h=c.clone().sub(g).pow(2).sum()),g=c.clone(),t?(f=t.transpose().mmul(c).div(c.transpose().mmul(c).get(0,0)),f=f.div(f.norm()),r=t.mmul(f).div(f.transpose().mmul(f).get(0,0))):r=c;if(t){let d=e.transpose().mmul(c).div(c.transpose().mmul(c).get(0,0));d=d.div(d.norm());let p=e.clone().sub(c.clone().mmul(d.transpose())),E=r.transpose().mmul(c).div(c.transpose().mmul(c).get(0,0)),q=t.clone().sub(c.clone().mulS(E.get(0,0)).mmul(f.transpose()));this.t=c,this.p=d.transpose(),this.w=u.transpose(),this.q=f,this.u=r,this.s=c.transpose().mmul(c),this.xResidual=p,this.yResidual=q,this.betas=E}else this.w=u.transpose(),this.s=c.transpose().mmul(c).sqrt(),n?this.t=c.clone().div(this.s.get(0,0)):this.t=c,this.xResidual=e.sub(c.mmul(u.transpose()))}}J.AbstractMatrix=Q;J.CHO=so;J.CholeskyDecomposition=so;J.DistanceMatrix=jt;J.EVD=no;J.EigenvalueDecomposition=no;J.LU=Yt;J.LuDecomposition=Yt;var ro=J.Matrix=I;J.MatrixColumnSelectionView=dn;J.MatrixColumnView=pn;J.MatrixFlipColumnView=wn;J.MatrixFlipRowView=En;J.MatrixRowSelectionView=yn;J.MatrixRowView=_n;J.MatrixSelectionView=Ct;J.MatrixSubView=Sn;J.MatrixTransposeView=Un;J.NIPALS=io;J.Nipals=io;J.QR=he;J.QrDecomposition=he;J.SVD=wt;J.SingularValueDecomposition=wt;J.SymmetricMatrix=at;J.WrapperMatrix1D=eo;J.WrapperMatrix2D=et;J.correlation=In;J.covariance=kn;var Fe=J.default=I;J.determinant=Kt;J.inverse=vn;J.linearDependencies=bn;J.pseudoInverse=Fn;J.solve=oo;J.wrap=qn;const pt=ro;Fe.Matrix&&Fe.Matrix;const ke=8,Tn=1/16777216,xn=15,Qn=18,Jn=11;function An(i,e){i>>>=0,e>>>=0;const o=i&65535;return((i-o)*e>>>0)+o*e>>>0}class Wn{constructor(e=Date.now()){this.state=new Uint32Array(4),this.init(e),this.random=this.getFloat.bind(this)}getUint32(){return this.nextState(),this.state[3]+this.state[2]>>>0}getFloat(){return(this.getUint32()>>>8)*Tn}init(e){if(!Number.isInteger(e))throw new TypeError("seed must be an integer");this.state[0]=e,this.state[1]=0,this.state[2]=0,this.state[3]=0;for(let o=1;o>>30>>>0)>>>0;this.periodCertification();for(let o=0;o>>Qn,e^=this.state[3]<jn)throw new Error(`probabilities should sum to 1, but instead sums to ${r[r.length-1]}`)}if(n===!1&&t>l.length)throw new Error("size option is too large");const h=[];for(let c=0;co[n];)n++;return n}else return Math.floor(t*i)}class ce{constructor(e=Math.random){if(typeof e=="number"){const o=new Wn(e);this.randomGenerator=o.random}else this.randomGenerator=e}choice(e,o){return typeof e=="number"?Ie(e,o,this.randomGenerator):Ie(e,o,this.randomGenerator)}random(){return this.randomGenerator()}randInt(e,o){return o===void 0&&(o=e,e=0),e+Math.floor(this.randomGenerator()*(o-e))}randomSample(e){const o=[];for(let t=0;t1){let l={dist:-1,index:-1};for(let r=0;rl.dist&&(l.dist=o[s[0]][r],l.index=r);if(s[1]=l.index,e>2)for(let r=2;rh.dist&&(h={...f})}s[r]=h.index}}return s.map(l=>i[l])}function Bn(i,e,o={}){const t=new pt(i),n=t.rows,s=new ce(o.seed),l=[],r=o.localTrials||2+Math.floor(Math.log(e)),h=s.randInt(n);l.push(t.getRow(h));let c=new pt(1,t.rows);for(let d=0;dd&&(d=w,g=U)}const p=f.get(g),E=cv.boundingRect(p),q=t.roi(E),{gridCells:a,expandedRect:_}=ts(q,e,o);return t.delete(),n.delete(),s.delete(),l.delete(),r.delete(),h.delete(),c.delete(),f.delete(),u.delete(),q.delete(),{gridCells:a,chessboardRect:{x:E.x+_.x,y:E.y+_.y,width:_.width,height:_.height}}}function ts(i,e,o){const t=new cv.Mat;cv.cvtColor(i,t,cv.COLOR_RGBA2GRAY);const n=new cv.Mat;cv.GaussianBlur(t,n,new cv.Size(5,5),0);const s=new cv.Mat;cv.Canny(n,s,50,150);const l=new cv.Mat;if(cv.HoughLinesP(s,l,1,Math.PI/180,80,100,50),l.rows===0)return console.log("无法检测到棋盘线条。"),{gridCells:[],expandedRect:{x:0,y:0,width:0,height:0}};const r=[],h=[];for(let T=0;T80&&h.push([Y,j,L,B])}if(r.length<10||h.length<9)return console.log("线条不足，无法进行 KMeans 聚类。"),{gridCells:[],expandedRect:{x:0,y:0,width:0,height:0}};const c=r.flatMap(T=>[T[1],T[3]]),f=h.flatMap(T=>[T[0],T[2]]),u=Ne(c.map(T=>[T]),10,{maxIterations:100}),g=Ne(f.map(T=>[T]),9,{maxIterations:100}),d=u.centroids.map(T=>T[0]).sort((T,Y)=>T-Y),p=g.centroids.map(T=>T[0]).sort((T,Y)=>T-Y),E=Math.floor(d[0]),q=Math.ceil(d[d.length-1]),a=Math.floor(p[0]),_=Math.ceil(p[p.length-1]),U=i.roi(new cv.Rect(a,E,_-a,q-E)),w=_-a,R=q-E,F=Math.floor(w*e),b=Math.floor(R*o),k=Math.max(0,a-F),V=Math.max(0,E-b),m=Math.min(i.cols-k,w+2*F),S=Math.min(i.rows-V,R+2*b),v=i.roi(new cv.Rect(k,V,m,S)),y=10,M=9,K=Math.floor(S/y),A=Math.floor(m/M),W=[];for(let T=0;Te}function os(i){const e=ae(i),o=xt(e,[0,120,120],[10,255,255],[160,120,120],[179,255,255]),t=xt(e,[0,0,0],[180,255,80]),n=i.width*i.height,s=cv.countNonZero(o),l=cv.countNonZero(t),r=s/n,h=l/n;return e.delete(),o.delete(),t.delete(),r>.05?"red":h>.05?"black":"unknown"}function ns(i,e){let o;if(e==="red")o=ss(i);else if(e==="black")o=is(i);else return i;const t=rs(o);let n=new cv.Mat;t.channels()===1?cv.cvtColor(t,n,cv.COLOR_GRAY2RGBA):t.channels()===3?cv.cvtColor(t,n,cv.COLOR_RGB2RGBA):n=t.clone();const s=new ImageData(new Uint8ClampedArray(n.data),n.cols,n.rows);return o.delete(),t.delete(),n.delete(),s}function ss(i){const e=ae(i),o=xt(e,[0,100,100],[10,255,255],[160,100,100],[179,255,255]);return e.delete(),o}function is(i){const e=ae(i),o=new cv.MatVector;cv.split(e,o);const t=o.get(2);cv.equalizeHist(t,t),o.set(2,t),cv.merge(o,e);const n=new cv.Mat;cv.Canny(e,n,400,600);const s=cv.Mat.ones(3,3,cv.CV_8U),l=new cv.Mat;cv.morphologyEx(n,l,cv.MORPH_CLOSE,s);const r=new cv.MatVector,h=new cv.Mat;cv.findContours(l,r,h,cv.RETR_EXTERNAL,cv.CHAIN_APPROX_SIMPLE);let c;if(r.size()===0)c=cv.Mat.zeros(e.rows,e.cols,cv.CV_8UC1);else{let f=0,u=r.get(0);for(let w=0;wf&&(f=F,u=R)}const g=cv.moments(u,!1),d=g.m10/g.m00,p=g.m01/g.m00,E=new cv.Point(d,p),q=.98,a=new cv.Mat(u.rows,1,cv.CV_32SC2);for(let w=0;w=.5&&l.push({contour:p,contourArea:a,rect:E})}p.delete()}if(l.length===0)return o.delete(),t.delete(),n.delete(),e;l.sort((d,p)=>p.contourArea-d.contourArea);const r=l[0],{x:h,y:c,width:f,height:u}=r.rect,g=e.roi(new cv.Rect(h,c,f,u));return o.delete(),t.delete(),n.delete(),e.delete(),g}function ae(i){const e=cv.matFromImageData(i),o=new cv.Mat;cv.cvtColor(e,o,cv.COLOR_RGBA2RGB);const t=new cv.Mat;return cv.cvtColor(o,t,cv.COLOR_RGB2HSV),e.delete(),o.delete(),t}function Ce(i,e,o){const t=new cv.Mat;return cv.inRange(i,cv.matFromArray(1,3,cv.CV_8UC1,e),cv.matFromArray(1,3,cv.CV_8UC1,o),t),t}function xt(i,e,o,t,n){const s=Ce(i,e,o);if(t&&n){const l=Ce(i,t,n),r=new cv.Mat;return cv.bitwise_or(s,l,r),s.delete(),l.delete(),r}return s}const ls={red_king:"帥",red_guard:"仕",red_bishop:"相",red_knight:"傌",red_rook:"俥",red_cannon:"炮",red_pawn:"兵",black_king:"将",black_guard:"士",black_bishop:"象",black_knight:"馬",black_rook:"車",black_cannon:"炮",black_pawn:"卒"};function hs(i,e,o){const t=document.createElement("canvas");t.width=i.width,t.height=i.height;const n=t.getContext("2d");n.drawImage(i,0,0,t.width,t.height),n.strokeStyle="rgba(0, 255, 0, 0.5)",n.lineWidth=2,n.strokeRect(e.x,e.y,e.width,e.height);const s=e.width/9,l=e.height/10;return o.forEach(r=>{const[h,c]=r.position,f=e.x+c*s,u=e.y+h*l;if(n.strokeStyle=r.color==="red"?"rgba(255, 0, 0, 0.7)":"rgba(0, 0, 0, 0.7)",n.lineWidth=2,n.strokeRect(f,u,s,l),r.type&&r.type!=="none"){const g=`${r.color}_${cs(r.type)}`,d=ls[g]||"";n.fillStyle=r.color==="red"?"rgba(255, 50, 50, 0.9)":"rgba(50, 50, 50, 0.9)",n.font="bold 24px Arial",n.textAlign="right",n.textBaseline="bottom",n.fillText(d,f+s-5,u+l-5)}}),t}function cs(i){return{k:"king",a:"guard",b:"bishop",n:"knight",r:"rook",c:"cannon",p:"pawn",none:"none"}[i]}const 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Q{constructor(e,o,t){super(),this.matrix=e,this.rows=o,this.columns=t}}class wn extends lt{constructor(e,o){nt(e,o),super(e,e.rows,1),this.column=o}set(e,o,t){return this.matrix.set(e,this.column,t),this}get(e){return this.matrix.get(e,this.column)}}class En extends lt{constructor(e,o){he(e,o),super(e,e.rows,o.length),this.columnIndices=o}set(e,o,t){return this.matrix.set(e,this.columnIndices[o],t),this}get(e,o){return this.matrix.get(e,this.columnIndices[o])}}class _n extends lt{constructor(e){super(e,e.rows,e.columns)}set(e,o,t){return this.matrix.set(e,this.columns-o-1,t),this}get(e,o){return this.matrix.get(e,this.columns-o-1)}}class yn extends lt{constructor(e){super(e,e.rows,e.columns)}set(e,o,t){return this.matrix.set(this.rows-e-1,o,t),this}get(e,o){return this.matrix.get(this.rows-e-1,o)}}class Sn extends lt{constructor(e,o){ot(e,o),super(e,1,e.columns),this.row=o}set(e,o,t){return this.matrix.set(this.row,o,t),this}get(e,o){return this.matrix.get(this.row,o)}}class Un extends lt{constructor(e,o){le(e,o),super(e,o.length,e.columns),this.rowIndices=o}set(e,o,t){return this.matrix.set(this.rowIndices[e],o,t),this}get(e,o){return this.matrix.get(this.rowIndices[e],o)}}class Ct extends lt{constructor(e,o,t){le(e,o),he(e,t),super(e,o.length,t.length),this.rowIndices=o,this.columnIndices=t}set(e,o,t){return this.matrix.set(this.rowIndices[e],this.columnIndices[o],t),this}get(e,o){return this.matrix.get(this.rowIndices[e],this.columnIndices[o])}}class qn extends lt{constructor(e,o,t,n,s){te(e,o,t,n,s),super(e,t-o+1,s-n+1),this.startRow=o,this.startColumn=n}set(e,o,t){return this.matrix.set(this.startRow+e,this.startColumn+o,t),this}get(e,o){return this.matrix.get(this.startRow+e,this.startColumn+o)}}class vn extends lt{constructor(e){super(e,e.columns,e.rows)}set(e,o,t){return this.matrix.set(o,e,t),this}get(e,o){return this.matrix.get(o,e)}}class oo extends Q{constructor(e,o={}){const{rows:t=1}=o;if(e.length%t!==0)throw new Error("the data length is not divisible by the number of rows");super(),this.rows=t,this.columns=e.length/t,this.data=e}set(e,o,t){let n=this._calculateIndex(e,o);return this.data[n]=t,this}get(e,o){let t=this._calculateIndex(e,o);return this.data[t]}_calculateIndex(e,o){return e*this.columns+o}}class et extends Q{constructor(e){super(),this.data=e,this.rows=e.length,this.columns=e[0].length}set(e,o,t){return this.data[e][o]=t,this}get(e,o){return this.data[e][o]}}function Rn(i,e){if(tt.isAnyArray(i))return i[0]&&tt.isAnyArray(i[0])?new et(i):new oo(i,e);throw new Error("the argument is not an array")}class Lt{constructor(e){e=et.checkMatrix(e);let o=e.clone(),t=o.rows,n=o.columns,s=new Float64Array(t),l=1,r,h,c,f,u,g,d,p,_;for(r=0;rMath.abs(p[f])&&(f=r);if(f!==h){for(c=0;c=0;c--){for(h=0;hl?n.set(s,l,e.get(s,l)):s===l?n.set(s,l,1):n.set(s,l,0);return n}get upperTriangularMatrix(){let e=this.LU,o=e.rows,t=e.columns,n=new I(o,t);for(let s=0;sMath.abs(e)?(o=e/i,Math.abs(i)*Math.sqrt(1+o*o)):e!==0?(o=i/e,Math.abs(e)*Math.sqrt(1+o*o)):0}class ce{constructor(e){e=et.checkMatrix(e);let o=e.clone(),t=e.rows,n=e.columns,s=new Float64Array(n),l,r,h,c;for(h=0;h=0;c--){for(h=0;h=0;r--){for(s=0;s=0;m--)if(p[m]!==0){for(let S=m+1;S=0;m--){if(m0;){let m,S;for(m=b-2;m>=-1&&m!==-1;m--){const v=Number.MIN_VALUE+V*Math.abs(p[m]+Math.abs(p[m+1]));if(Math.abs(a[m])<=v||Number.isNaN(a[m])){a[m]=0;break}}if(m===b-2)S=4;else{let v;for(v=b-1;v>=m&&v!==m;v--){let y=(v!==b?Math.abs(a[v]):0)+(v!==m+1?Math.abs(a[v-1]):0);if(Math.abs(p[v])<=V*y){p[v]=0;break}}v===m?S=3:v===b-1?S=1:(S=2,m=v)}switch(m++,S){case 1:{let v=a[b-2];a[b-2]=0;for(let y=b-2;y>=m;y--){let M=it(p[y],v),K=p[y]/M,A=v/M;if(p[y]=M,y!==m&&(v=-A*a[y-1],a[y-1]=K*a[y-1]),c)for(let W=0;W=p[m+1]);){let v=p[m];if(p[m]=p[m+1],p[m+1]=v,c&&mo&&s.set(f,u,e.get(f,u)/this.s[u]);let l=this.U,r=l.rows,h=l.columns,c=new I(t,r);for(let f=0;fe&&o++;return o}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 I.diag(this.s)}}function Vn(i,e=!1){return i=et.checkMatrix(i),e?new Et(i).inverse():no(i,I.eye(i.rows))}function no(i,e,o=!1){return i=et.checkMatrix(i),e=et.checkMatrix(e),o?new Et(i).solve(e):i.isSquare()?new Lt(i).solve(e):new ce(i).solve(e)}function Kt(i){if(i=I.checkMatrix(i),i.isSquare()){if(i.columns===0)return 1;let e,o,t,n;if(i.columns===2)return e=i.get(0,0),o=i.get(0,1),t=i.get(1,0),n=i.get(1,1),e*n-o*t;if(i.columns===3){let s,l,r;return s=new Ct(i,[1,2],[1,2]),l=new Ct(i,[1,2],[0,2]),r=new Ct(i,[1,2],[0,1]),e=i.get(0,0),o=i.get(0,1),t=i.get(0,2),e*Kt(s)-o*Kt(l)+t*Kt(r)}else return new Lt(i).determinant}else throw Error("determinant can only be calculated for a square matrix")}function bn(i,e){let o=[];for(let t=0;tn)return new Array(e.rows+1).fill(0);{let s=e.addRow(o,[0]);for(let l=0;le?s[l]=1/s[l]:s[l]=0;return n.mmul(I.diag(s).mmul(t.transpose()))}function Mn(i,e=i,o={}){i=new I(i);let t=!1;if(typeof e=="object"&&!I.isMatrix(e)&&!tt.isAnyArray(e)?(o=e,e=i,t=!0):e=new I(e),i.rows!==e.rows)throw new TypeError("Both matrices must have the same number of rows");const{center:n=!0}=o;n&&(i=i.center("column"),t||(e=e.center("column")));const s=i.transpose().mmul(e);for(let l=0;l0?n.set(s,s+1,o[s]):o[s]<0&&n.set(s,s-1,o[s])}return n}}function Cn(i,e,o,t){let n,s,l,r,h,c,f,u;for(h=0;h0;r--){for(u=0,l=0,c=0;c0&&(s=-s),e[r]=u*s,l=l-n*s,o[r-1]=n-s,h=0;hc)do{for(n=o[c],u=(o[c+1]-n)/(2*e[c]),g=it(u,1),u<0&&(g=-g),o[c]=e[c]/(u+g),o[c+1]=e[c]*(u+g),d=o[c+1],s=n-o[c],l=c+2;l=c;l--)for(q=_,_=p,U=w,n=p*e[l],s=p*u,g=it(u,e[l]),e[l+1]=w*g,w=e[l]/g,p=u/g,u=p*o[l]-w*n,o[l+1]=s+w*(p*n+w*o[l]),h=0;hk*R);o[c]=o[c]+E,e[c]=0}for(l=0;l=u;c--)o[c]=e.get(c,u-1)/g,h+=o[c]*o[c];for(r=Math.sqrt(h),o[u]>0&&(r=-r),h=h-o[u]*r,o[u]=o[u]-r,f=u;f=u;c--)l+=o[c]*e.get(c,f);for(l=l/h,c=u;c<=s;c++)e.set(c,f,e.get(c,f)-l*o[c])}for(c=0;c<=s;c++){for(l=0,f=s;f>=u;f--)l+=o[f]*e.get(c,f);for(l=l/h,f=u;f<=s;f++)e.set(c,f,e.get(c,f)-l*o[f])}o[u]=g*o[u],e.set(u,u-1,g*r)}}for(c=0;c=n+1;u--)if(e.get(u,u-1)!==0){for(c=u+1;c<=s;c++)o[c]=e.get(c,u-1);for(f=u;f<=s;f++){for(r=0,c=u;c<=s;c++)r+=o[c]*t.get(c,f);for(r=r/o[u]/e.get(u,u-1),c=u;c<=s;c++)t.set(c,f,t.get(c,f)+r*o[c])}}}function xn(i,e,o,t,n){let s=i-1,l=0,r=i-1,h=Number.EPSILON,c=0,f=0,u=0,g=0,d=0,p=0,_=0,q=0,a,w,U,E,R,k,b,F,V,m,S,v,y,M,K;for(a=0;ar)&&(o[a]=n.get(a,a),e[a]=0),w=Math.max(a-1,0);w=l;){for(E=s;E>l&&(p=Math.abs(n.get(E-1,E-1))+Math.abs(n.get(E,E)),p===0&&(p=f),!(Math.abs(n.get(E,E-1))=0){for(_=u>=0?u+_:u-_,o[s-1]=F+_,o[s]=o[s-1],_!==0&&(o[s]=F-b/_),e[s-1]=0,e[s]=0,F=n.get(s,s-1),p=Math.abs(F)+Math.abs(_),u=F/p,g=_/p,d=Math.sqrt(u*u+g*g),u=u/d,g=g/d,w=s-1;w0)){for(p=Math.sqrt(p),V=E&&(_=n.get(R,R),d=F-_,p=V-_,u=(d*p-b)/n.get(R+1,R)+n.get(R,R+1),g=n.get(R+1,R+1)-_-d-p,d=n.get(R+2,R+1),p=Math.abs(u)+Math.abs(g)+Math.abs(d),u=u/p,g=g/p,d=d/p,!(R===E||Math.abs(n.get(R,R-1))*(Math.abs(g)+Math.abs(d))R+2&&n.set(a,a-3,0);for(U=R;U<=s-1&&(M=U!==s-1,U!==R&&(u=n.get(U,U-1),g=n.get(U+1,U-1),d=M?n.get(U+2,U-1):0,F=Math.abs(u)+Math.abs(g)+Math.abs(d),F!==0&&(u=u/F,g=g/F,d=d/F)),F!==0);U++)if(p=Math.sqrt(u*u+g*g+d*d),u<0&&(p=-p),p!==0){for(U!==R?n.set(U,U-1,-p*F):E!==R&&n.set(U,U-1,-n.get(U,U-1)),u=u+p,F=u/p,V=g/p,_=d/p,g=g/u,d=d/u,w=U;w=0;s--)if(u=o[s],g=e[s],g===0)for(E=s,n.set(s,s,1),a=s-1;a>=0;a--){for(b=n.get(a,a)-u,d=0,w=E;w<=s;w++)d=d+n.get(a,w)*n.get(w,s);if(e[a]<0)_=b,p=d;else if(E=a,e[a]===0?n.set(a,s,b!==0?-d/b:-d/(h*f)):(F=n.get(a,a+1),V=n.get(a+1,a),g=(o[a]-u)*(o[a]-u)+e[a]*e[a],k=(F*p-_*d)/g,n.set(a,s,k),n.set(a+1,s,Math.abs(F)>Math.abs(_)?(-d-b*k)/F:(-p-V*k)/_)),k=Math.abs(n.get(a,s)),h*k*k>1)for(w=a;w<=s;w++)n.set(w,s,n.get(w,s)/k)}else if(g<0)for(E=s-1,Math.abs(n.get(s,s-1))>Math.abs(n.get(s-1,s))?(n.set(s-1,s-1,g/n.get(s,s-1)),n.set(s-1,s,-(n.get(s,s)-u)/n.get(s,s-1))):(K=kt(0,-n.get(s-1,s),n.get(s-1,s-1)-u,g),n.set(s-1,s-1,K[0]),n.set(s-1,s,K[1])),n.set(s,s-1,0),n.set(s,s,1),a=s-2;a>=0;a--){for(m=0,S=0,w=E;w<=s;w++)m=m+n.get(a,w)*n.get(w,s-1),S=S+n.get(a,w)*n.get(w,s);if(b=n.get(a,a)-u,e[a]<0)_=b,d=m,p=S;else if(E=a,e[a]===0?(K=kt(-m,-S,b,g),n.set(a,s-1,K[0]),n.set(a,s,K[1])):(F=n.get(a,a+1),V=n.get(a+1,a),v=(o[a]-u)*(o[a]-u)+e[a]*e[a]-g*g,y=(o[a]-u)*2*g,v===0&&y===0&&(v=h*f*(Math.abs(b)+Math.abs(g)+Math.abs(F)+Math.abs(V)+Math.abs(_))),K=kt(F*d-_*m+g*S,F*p-_*S-g*m,v,y),n.set(a,s-1,K[0]),n.set(a,s,K[1]),Math.abs(F)>Math.abs(_)+Math.abs(g)?(n.set(a+1,s-1,(-m-b*n.get(a,s-1)+g*n.get(a,s))/F),n.set(a+1,s,(-S-b*n.get(a,s)-g*n.get(a,s-1))/F)):(K=kt(-d-V*n.get(a,s-1),-p-V*n.get(a,s),_,g),n.set(a+1,s-1,K[0]),n.set(a+1,s,K[1]))),k=Math.max(Math.abs(n.get(a,s-1)),Math.abs(n.get(a,s))),h*k*k>1)for(w=a;w<=s;w++)n.set(w,s-1,n.get(w,s-1)/k),n.set(w,s,n.get(w,s)/k)}for(a=0;ar)for(w=a;w=l;w--)for(a=l;a<=r;a++){for(_=0,U=l;U<=Math.min(w,r);U++)_=_+t.get(a,U)*n.get(U,w);t.set(a,w,_)}}}function kt(i,e,o,t){let n,s;return Math.abs(o)>Math.abs(t)?(n=t/o,s=o+n*t,[(i+n*e)/s,(e-n*i)/s]):(n=o/t,s=t+n*o,[(n*i+e)/s,(n*e-i)/s])}class io{constructor(e){if(e=et.checkMatrix(e),!e.isSymmetric())throw new Error("Matrix is not symmetric");let o=e,t=o.rows,n=new I(t,t),s=!0,l,r,h;for(r=0;r0,n.set(r,r,Math.sqrt(Math.max(c,0))),h=r+1;h=0;h--)for(r=0;rl;d++)u=e.transpose().mmul(r).div(r.transpose().mmul(r).get(0,0)),u=u.div(u.norm()),c=e.mmul(u).div(u.transpose().mmul(u).get(0,0)),d>0&&(h=c.clone().sub(g).pow(2).sum()),g=c.clone(),t?(f=t.transpose().mmul(c).div(c.transpose().mmul(c).get(0,0)),f=f.div(f.norm()),r=t.mmul(f).div(f.transpose().mmul(f).get(0,0))):r=c;if(t){let d=e.transpose().mmul(c).div(c.transpose().mmul(c).get(0,0));d=d.div(d.norm());let p=e.clone().sub(c.clone().mmul(d.transpose())),_=r.transpose().mmul(c).div(c.transpose().mmul(c).get(0,0)),q=t.clone().sub(c.clone().mulS(_.get(0,0)).mmul(f.transpose()));this.t=c,this.p=d.transpose(),this.w=u.transpose(),this.q=f,this.u=r,this.s=c.transpose().mmul(c),this.xResidual=p,this.yResidual=q,this.betas=_}else this.w=u.transpose(),this.s=c.transpose().mmul(c).sqrt(),n?this.t=c.clone().div(this.s.get(0,0)):this.t=c,this.xResidual=e.sub(c.mmul(u.transpose()))}}J.AbstractMatrix=Q;J.CHO=io;J.CholeskyDecomposition=io;J.DistanceMatrix=Yt;J.EVD=so;J.EigenvalueDecomposition=so;J.LU=Lt;J.LuDecomposition=Lt;var lo=J.Matrix=I;J.MatrixColumnSelectionView=En;J.MatrixColumnView=wn;J.MatrixFlipColumnView=_n;J.MatrixFlipRowView=yn;J.MatrixRowSelectionView=Un;J.MatrixRowView=Sn;J.MatrixSelectionView=Ct;J.MatrixSubView=qn;J.MatrixTransposeView=vn;J.NIPALS=ro;J.Nipals=ro;J.QR=ce;J.QrDecomposition=ce;J.SVD=Et;J.SingularValueDecomposition=Et;J.SymmetricMatrix=at;J.WrapperMatrix1D=oo;J.WrapperMatrix2D=et;J.correlation=Nn;J.covariance=Mn;var ke=J.default=I;J.determinant=Kt;J.inverse=Vn;J.linearDependencies=kn;J.pseudoInverse=In;J.solve=no;J.wrap=Rn;const pt=lo;ke.Matrix&&ke.Matrix;const Ie=8,Qn=1/16777216,Jn=15,An=18,Wn=11;function jn(i,e){i>>>=0,e>>>=0;const o=i&65535;return((i-o)*e>>>0)+o*e>>>0}class Yn{constructor(e=Date.now()){this.state=new Uint32Array(4),this.init(e),this.random=this.getFloat.bind(this)}getUint32(){return this.nextState(),this.state[3]+this.state[2]>>>0}getFloat(){return(this.getUint32()>>>8)*Qn}init(e){if(!Number.isInteger(e))throw new TypeError("seed must be an integer");this.state[0]=e,this.state[1]=0,this.state[2]=0,this.state[3]=0;for(let o=1;o>>30>>>0)>>>0;this.periodCertification();for(let o=0;o>>An,e^=this.state[3]<Ln)throw new Error(`probabilities should sum to 1, but instead sums to ${r[r.length-1]}`)}if(n===!1&&t>l.length)throw new Error("size option is too large");const h=[];for(let c=0;co[n];)n++;return n}else return Math.floor(t*i)}class ae{constructor(e=Math.random){if(typeof e=="number"){const o=new Yn(e);this.randomGenerator=o.random}else this.randomGenerator=e}choice(e,o){return typeof e=="number"?Me(e,o,this.randomGenerator):Me(e,o,this.randomGenerator)}random(){return this.randomGenerator()}randInt(e,o){return o===void 0&&(o=e,e=0),e+Math.floor(this.randomGenerator()*(o-e))}randomSample(e){const o=[];for(let t=0;t1){let l={dist:-1,index:-1};for(let r=0;rl.dist&&(l.dist=o[s[0]][r],l.index=r);if(s[1]=l.index,e>2)for(let r=2;rh.dist&&(h={...f})}s[r]=h.index}}return s.map(l=>i[l])}function zn(i,e,o={}){const t=new pt(i),n=t.rows,s=new ae(o.seed),l=[],r=o.localTrials||2+Math.floor(Math.log(e)),h=s.randInt(n);l.push(t.getRow(h));let c=new pt(1,t.rows);for(let d=0;dd&&(d=E,g=U)}const p=f.get(g),_=cv.boundingRect(p),q=t.roi(_),{gridCells:a,expandedRect:w}=os(q,e,o);return t.delete(),n.delete(),s.delete(),l.delete(),r.delete(),h.delete(),c.delete(),f.delete(),u.delete(),q.delete(),{gridCells:a,chessboardRect:{x:_.x+w.x,y:_.y+w.y,width:w.width,height:w.height}}}function os(i,e,o){const t=new cv.Mat;cv.cvtColor(i,t,cv.COLOR_RGBA2GRAY);const n=new cv.Mat;cv.GaussianBlur(t,n,new cv.Size(5,5),0);const s=new cv.Mat;cv.Canny(n,s,50,150);const l=new cv.Mat;if(cv.HoughLinesP(s,l,1,Math.PI/180,80,100,50),l.rows===0)return console.log("无法检测到棋盘线条。"),{gridCells:[],expandedRect:{x:0,y:0,width:0,height:0}};const r=[],h=[];for(let T=0;T80&&h.push([Y,j,L,B])}if(r.length<10||h.length<9)return console.log("线条不足，无法进行 KMeans 聚类。"),{gridCells:[],expandedRect:{x:0,y:0,width:0,height:0}};const c=r.flatMap(T=>[T[1],T[3]]),f=h.flatMap(T=>[T[0],T[2]]),u=Ce(c.map(T=>[T]),10,{maxIterations:100}),g=Ce(f.map(T=>[T]),9,{maxIterations:100}),d=u.centroids.map(T=>T[0]).sort((T,Y)=>T-Y),p=g.centroids.map(T=>T[0]).sort((T,Y)=>T-Y),_=Math.floor(d[0]),q=Math.ceil(d[d.length-1]),a=Math.floor(p[0]),w=Math.ceil(p[p.length-1]),U=i.roi(new cv.Rect(a,_,w-a,q-_)),E=w-a,R=q-_,k=Math.floor(E*e),b=Math.floor(R*o),F=Math.max(0,a-k),V=Math.max(0,_-b),m=Math.min(i.cols-F,E+2*k),S=Math.min(i.rows-V,R+2*b),v=i.roi(new cv.Rect(F,V,m,S)),y=10,M=9,K=Math.floor(S/y),A=Math.floor(m/M),W=[];for(let T=0;Te}function ss(i){const 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2024-10-08

  • 增加 更新日志 显示
  • 棋盘显示优化 @@ -23,4 +23,4 @@ ${$e}`)}function Do(i,e,o){return(i>=0&&o?` ${Ve(i,e-1)}`:Ve(i,e)).padEnd(e)}fun
  • 优化黑棋子识别
  • 新增欢迎提示和加载界面
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