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1F++)b=D(b,m(y[F],c[F][w]));g[v][w]=b}}return t.createDenseMatrix({data:g,size:[h,p],datatype:s===t._datatype&&l===r._datatype?u:void 0})},"DenseMatrix, SparseMatrix":function(t,r){var o,a=t._data,s=t._size,c=t._datatype||t.getDataType(),f=r._values,l=r._index,h=r._ptr,d=r._size,p=r._datatype||void 0===r._data?r._datatype:r.getDataType();if(!f)throw Error("Cannot multiply Dense Matrix times Pattern only Matrix");var D=s[0],m=d[1],g=n,v=i,y=u,w=0;c&&p&&c===p&&"string"==typeof c&&"mixed"!==c&&(o=c,g=e.find(n,[o,o]),v=e.find(i,[o,o]),y=e.find(u,[o,o]),w=e.convert(0,o));for(var b=[],F=[],A=[],E=r.createSparseMatrix({values:b,index:F,ptr:A,size:[D,m],datatype:c===t._datatype&&p===r._datatype?o:void 0}),_=0;_<m;_++){A[_]=F.length;var C=h[_],x=h[_+1];if(x>C)for(var M=0,B=0;B<D;B++){for(var S=B+1,N=void 0,T=C;T<x;T++){var O=l[T];M!==S?(N=v(a[B][O],f[T]),M=S):N=g(N,v(a[B][O],f[T]))}M!==S||y(N,w)||(F.push(B),b.push(N))}}return A[m]=F.length,E},"SparseMatrix, DenseMatrix":function(t,r){var o,a=t._values,s=t._index,c=t._ptr,f=t._datatype||void 0===t._data?t._datatype:t.getDataType();if(!a)throw Error("Cannot multiply Pattern only Matrix times Dense Matrix");var l=r._data,h=r._datatype||r.getDataType(),d=t._size[0],p=r._size[0],D=r._size[1],m=n,g=i,v=u,y=0;f&&h&&f===h&&"string"==typeof f&&"mixed"!==f&&(o=f,m=e.find(n,[o,o]),g=e.find(i,[o,o]),v=e.find(u,[o,o]),y=e.convert(0,o));for(var w=[],b=[],F=[],A=t.createSparseMatrix({values:w,index:b,ptr:F,size:[d,D],datatype:f===t._datatype&&h===r._datatype?o:void 0}),E=[],_=[],C=0;C<D;C++){F[C]=b.length;for(var x=C+1,M=0;M<p;M++){var B=l[M][C];if(!v(B,y))for(var S=c[M],N=c[M+1],T=S;T<N;T++){var O=s[T];_[O]!==x?(_[O]=x,b.push(O),E[O]=g(B,a[T])):E[O]=m(E[O],g(B,a[T]))}}for(var k=F[C],Y=b.length,z=k;z<Y;z++){var P=b[z];w[z]=E[P]}}return F[D]=b.length,A},"SparseMatrix, SparseMatrix":function(t,r){var u,o,a,s,c,f,l,h,d,p=t._values,D=t._index,m=t._ptr,g=t._datatype||void 0===t._data?t._datatype:t.getDataType(),v=r._values,y=r._index,w=r._ptr,b=r._datatype||void 0===r._data?r._datatype:r.getDataType(),F=t._size[0],A=r._size[1],E=p&&v,_=n,C=i;g&&b&&g===b&&"string"==typeof g&&"mixed"!==g&&(u=g,_=e.find(n,[u,u]),C=e.find(i,[u,u]));for(var x=E?[]:void 0,M=[],B=[],S=t.createSparseMatrix({values:x,index:M,ptr:B,size:[F,A],datatype:g===t._datatype&&b===r._datatype?u:void 0}),N=E?[]:void 0,T=[],O=0;O<A;O++){B[O]=M.length;var k=O+1;for(f=w[O],l=w[O+1],c=f;c<l;c++)if(d=y[c],E)for(a=m[d],s=m[d+1],o=a;o<s;o++)T[h=D[o]]!==k?(T[h]=k,M.push(h),N[h]=C(v[c],p[o])):N[h]=_(N[h],C(v[c],p[o]));else for(a=m[d],s=m[d+1],o=a;o<s;o++)T[h=D[o]]!==k&&(T[h]=k,M.push(h));if(E)for(var Y=B[O],z=M.length,P=Y;P<z;P++){var I=M[P];x[P]=N[I]}}return B[A]=M.length,S}});return e(_,i,{"Array, Array":e.referTo("Matrix, Matrix",t=>(e,n)=>{c((0,p.LO)(e),(0,p.LO)(n));var i=t(r(e),r(n));return(0,y.OA)(i)?i.valueOf():i}),"Matrix, Matrix":function(t,r){var u=t.size(),a=r.size();return(c(u,a),1===u.length)?1===a.length?function(t,e,r){if(0===r)throw Error("Cannot multiply two empty vectors");return o(t,e)}(t,r,u[0]):function(t,r){if("dense"!==r.storage())throw Error("Support for SparseMatrix not implemented");return function(t,r){var u,o=t._data,a=t._size,s=t._datatype||t.getDataType(),c=r._data,f=r._size,l=r._datatype||r.getDataType(),h=a[0],d=f[1],p=n,D=i;s&&l&&s===l&&"string"==typeof s&&"mixed"!==s&&(u=s,p=e.find(n,[u,u]),D=e.find(i,[u,u]));for(var m=[],g=0;g<d;g++){for(var v=D(o[0],c[0][g]),y=1;y<h;y++)v=p(v,D(o[y],c[y][g]));m[g]=v}return t.createDenseMatrix({data:m,size:[d],datatype:s===t._datatype&&l===r._datatype?u:void 0})}(t,r)}(t,r):1===a.length?f(t,r):l(t,r)},"Matrix, Array":e.referTo("Matrix,Matrix",t=>(e,n)=>t(e,r(n))),"Array, Matrix":e.referToSelf(t=>(e,n)=>t(r(e,n.storage()),n)),"SparseMatrix, any":function(t,e){return a(t,e,i,!1)},"DenseMatrix, any":function(t,e){return s(t,e,i,!1)},"any, SparseMatrix":function(t,e){return a(e,t,i,!0)},"any, DenseMatrix":function(t,e){return s(e,t,i,!0)},"Array, any":function(t,e){return s(r(t),e,i,!1).valueOf()},"any, Array":function(t,e){return s(r(e),t,i,!0).valueOf()},"any, any":i,"any, any, ...any":e.referToSelf(t=>(e,r,n)=>{for(var i=t(e,r),u=0;u<n.length;u++)i=t(i,n[u]);return i})})}),x={addScalarDependencies:n.$,dotDependencies:b,equalScalarDependencies:F.u,matrixDependencies:d.p,multiplyScalarDependencies:h,typedDependencies:i.U,createMultiply:C}},95712:(t,e,r)=>{"use strict";r.d(e,{J:()=>D});var n=r(14098),i=r(86333),u=r(42483),o=r(19600),a=r(6416),s=r(82152),c=r(23610),f=r(38458),l=r(90329),h=r(12270),d=r(96153),p=(0,l.P9)("SparseMatrix",["typed","equalScalar","Matrix"],t=>

1{var{typed:e,equalScalar:r,Matrix:n}=t;function i(t,e){if(!(this instanceof i))throw SyntaxError("Constructor must be called with the new operator");if(e&&!(0,o.Kg)(e))throw Error("Invalid datatype: "+e);if((0,o.OA)(t))"SparseMatrix"===t.type?(this._values=t._values?(0,c.o8)(t._values):void 0,this._index=(0,c.o8)(t._index),this._ptr=(0,c.o8)(t._ptr),this._size=(0,c.o8)(t._size),this._datatype=e||t._datatype):u(this,t.valueOf(),e||t._datatype);else if(t&&(0,o.cy)(t.index)&&(0,o.cy)(t.ptr)&&(0,o.cy)(t.size))this._values=t.values,this._index=t.index,this._ptr=t.ptr,this._size=t.size,this._datatype=e||t.datatype;else if((0,o.cy)(t))u(this,t,e);else if(t)throw TypeError("Unsupported type of data ("+(0,o.QP)(t)+")");else this._values=[],this._index=[],this._ptr=[0],this._size=[0,0],this._datatype=e}function u(t,n,i){t._values=[],t._index=[],t._ptr=[],t._datatype=i;var u=n.length,a=0,s=r,c=0;if((0,o.Kg)(i)&&(s=e.find(r,[i,i])||r,c=e.convert(0,i)),u>0){var f=0;do{t._ptr.push(t._index.length);for(var l=0;l<u;l++){var h=n[l];if((0,o.cy)(h)){if(0===f&&a<h.length&&(a=h.length),f<h.length){var d=h[f];s(d,c)||(t._values.push(d),t._index.push(l))}}else 0===f&&a<1&&(a=1),s(h,c)||(t._values.push(h),t._index.push(l))}f++}while(f<a)}t._ptr.push(t._index.length),t._size=[u,a]}function l(t,e,r,n){if(r-e==0)return r;for(var i=e;i<r;i++)if(n[i]===t)return i;return e}function p(t,e,r,n,i,u,o){i.splice(t,0,n),u.splice(t,0,e);for(var a=r+1;a<o.length;a++)o[a]++}function D(t,n,i,u){var a,s,c,f=u||0,l=r,h=0;(0,o.Kg)(t._datatype)&&(l=e.find(r,[t._datatype,t._datatype])||r,h=e.convert(0,t._datatype),f=e.convert(f,t._datatype));var d=!l(f,h),p=t._size[0],D=t._size[1];if(i>D){for(s=D;s<i;s++)if(t._ptr[s]=t._values.length,d)for(a=0;a<p;a++)t._values.push(f),t._index.push(a);t._ptr[i]=t._values.length}else i<D&&(t._ptr.splice(i+1,D-i),t._values.splice(t._ptr[i],t._values.length),t._index.splice(t._ptr[i],t._index.length));if(D=i,n>p){if(d){var m=0;for(s=0;s<D;s++){t._ptr[s]=t._ptr[s]+m,c=t._ptr[s+1]+m;var g=0;for(a=p;a<n;a++,g++)t._values.splice(c+g,0,f),t._index.splice(c+g,0,a),m++}t._ptr[D]=t._values.length}}else if(n<p){var v=0;for(s=0;s<D;s++){t._ptr[s]=t._ptr[s]-v;var y=t._ptr[s],w=t._ptr[s+1]-v;for(c=y;c<w;c++)(a=t._index[c])>n-1&&(t._values.splice(c,1),t._index.splice(c,1),v++)}t._ptr[s]=t._values.length}return t._size[0]=n,t._size[1]=i,t}function m(t,e,r,n,i){var u,o,a=n[0],s=n[1],f=[];for(u=0;u<a;u++)for(o=0,f[u]=[];o<s;o++)f[u][o]=0;for(o=0;o<s;o++)for(var l=r[o],h=r[o+1],d=l;d<h;d++)f[u=e[d]][o]=t?i?(0,c.o8)(t[d]):t[d]:1;return f}return i.prototype=new n,i.prototype.createSparseMatrix=function(t,e){return new i(t,e)},Object.defineProperty(i,"name",{value:"SparseMatrix"}),i.prototype.constructor=i,i.prototype.type="SparseMatrix",i.prototype.isSparseMatrix=!0,i.prototype.getDataType=function(){return(0,f.ig)(this._values,o.QP)},i.prototype.storage=function(){return"sparse"},i.prototype.datatype=function(){return this._datatype},i.prototype.create=function(t,e){return new i(t,e)},i.prototype.density=function(){var t=this._size[0],e=this._size[1];return 0!==t&&0!==e?this._index.length/(t*e):0},i.prototype.subset=function(t,e,r){if(!this._values)throw Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return function(t,e){if(!(0,o.nw)(e))throw TypeError("Invalid index");if(e.isScalar())return t.get(e.min());var r,n,u,a,s=e.size();if(s.length!==t._size.length)throw new h.h(s.length,t._size.length);var c=e.min(),l=e.max();for(r=0,n=t._size.length;r<n;r++)(0,f.r7)(c[r],t._size[r]),(0,f.r7)(l[r],t._size[r]);var d=t._values,p=t._index,D=t._ptr,m=e.dimension(0),g=e.dimension(1),v=[],y=[];m.forEach(function(t,e){y[t]=e[0],v[t]=!0});var w=d?[]:void 0,b=[],F=[];return g.forEach(function(t){for(F.push(b.length),u=D[t],a=D[t+1];u<a;u++)!0===v[r=p[u]]&&(b.push(y[r]),w&&w.push(d[u]))}),F.push(b.length),new i({values:w,index:b,ptr:F,size:s,datatype:t._datatype})}(this,t);case 2:case 3:return function(t,e,r,n){if(!e||!0!==e.isIndex)throw TypeError("Invalid index");var i,u=e.size(),a=e.isScalar();if((0,o.OA)(r)?(i=r.size(),r=r.toArray()):i=(0,f.LO)(r),a){if(0!==i.length)throw TypeError("Scalar expected");t.set(e.min(),r,n)}else{if(1!==u.length&&2!==u.length)throw new h.h(u.length,t._size.length,"<");if(i.length<u.length){for(var s=0,l=0;1===u[s]&&1===i[s];)s++;for(;1===u[s];)l++,s++;r=(0,f.iD)(r,u.length,l,i)}if(!(0,c.QO)(u,i))throw new h.h(u,i,">");

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1yield{value:this._values[i],index:[u,e]}}},i.prototype.toArray=function(){return m(this._values,this._index,this._ptr,this._size,!0)},i.prototype.valueOf=function(){return m(this._values,this._index,this._ptr,this._size,!1)},i.prototype.format=function(t){for(var e=this._size[0],r=this._size[1],n=this.density(),i="Sparse Matrix ["+(0,s.GP)(e,t)+" x "+(0,s.GP)(r,t)+"] density: "+(0,s.GP)(n,t)+"\n",u=0;u<r;u++)for(var o=this._ptr[u],a=this._ptr[u+1],c=o;c<a;c++){var f=this._index[c];i+="\n    ("+(0,s.GP)(f,t)+", "+(0,s.GP)(u,t)+") ==> "+(this._values?(0,s.GP)(this._values[c],t):"X")}return i},i.prototype.toString=function(){return(0,s.GP)(this.toArray())},i.prototype.toJSON=function(){return{mathjs:"SparseMatrix",values:this._values,index:this._index,ptr:this._ptr,size:this._size,datatype:this._datatype}},i.prototype.diagonal=function(t){if(t){if((0,o.C4)(t)&&(t=t.toNumber()),!(0,o.Et)(t)||!(0,a.YN)(t))throw TypeError("The parameter k must be an integer number")}else t=0;var e=t>0?t:0,r=t<0?-t:0,n=this._size[0],u=this._size[1],s=Math.min(n-r,u-e),c=[],f=[],l=[];l[0]=0;for(var h=e;h<u&&c.length<s;h++)for(var d=this._ptr[h],p=this._ptr[h+1],D=d;D<p;D++){var m=this._index[D];if(m===h-e+r){c.push(this._values[D]),f[c.length-1]=m-r;break}}return l.push(c.length),new i({values:c,index:f,ptr:l,size:[s,1]})},i.fromJSON=function(t){return new i(t)},i.diagonal=function(t,n,u,s,c){if(!(0,o.cy)(t))throw TypeError("Array expected, size parameter");if(2!==t.length)throw Error("Only two dimensions matrix are supported");if(t=t.map(function(t){if((0,o.C4)(t)&&(t=t.toNumber()),!(0,o.Et)(t)||!(0,a.YN)(t)||t<1)throw Error("Size values must be positive integers");return t}),u){if((0,o.C4)(u)&&(u=u.toNumber()),!(0,o.Et)(u)||!(0,a.YN)(u))throw TypeError("The parameter k must be an integer number")}else u=0;var f,l=r,h=0;(0,o.Kg)(c)&&(l=e.find(r,[c,c])||r,h=e.convert(0,c));var d=u>0?u:0,p=u<0?-u:0,D=t[0],m=t[1],g=Math.min(D-p,m-d);if((0,o.cy)(n)){if(n.length!==g)throw Error("Invalid value array length");f=function(t){return n[t]}}else if((0,o.OA)(n)){var v=n.size();if(1!==v.length||v[0]!==g)throw Error("Invalid matrix length");f=function(t){return n.get([t])}}else f=function(){return n};for(var y=[],w=[],b=[],F=0;F<m;F++){b.push(y.length);var A=F-d;if(A>=0&&A<g){var E=f(A);l(E,h)||(w.push(A+p),y.push(E))}}return b.push(y.length),new i({values:y,index:w,ptr:b,size:[D,m]})},i.prototype.swapRows=function(t,e){if(!(0,o.Et)(t)||!(0,a.YN)(t)||!(0,o.Et)(e)||!(0,a.YN)(e))throw Error("Row index must be positive integers");if(2!==this._size.length)throw Error("Only two dimensional matrix is supported");return(0,f.r7)(t,this._size[0]),(0,f.r7)(e,this._size[0]),i._swapRows(t,e,this._size[1],this._values,this._index,this._ptr),this},i._forEachRow=function(t,e,r,n,i){for(var u=n[t],o=n[t+1],a=u;a<o;a++)i(r[a],e[a])},i._swapRows=function(t,e,r,n,i,u){for(var o=0;o<r;o++){var a=u[o],s=u[o+1],c=l(t,a,s,i),f=l(e,a,s,i);if(c<s&&f<s&&i[c]===t&&i[f]===e){if(n){var h=n[c];n[c]=n[f],n[f]=h}continue}if(c<s&&i[c]===t&&(f>=s||i[f]!==e)){var d=n?n[c]:void 0;i.splice(f,0,e),n&&n.splice(f,0,d),i.splice(f<=c?c+1:c,1),n&&n.splice(f<=c?c+1:c,1);continue}if(f<s&&i[f]===e&&(c>=s||i[c]!==t)){var p=n?n[f]:void 0;i.splice(c,0,t),n&&n.splice(c,0,p),i.splice(c<=f?f+1:f,1),n&&n.splice(c<=f?f+1:f,1)}}},i},{isClass:!0}),D={MatrixDependencies:n.t,equalScalarDependencies:i.u,typedDependencies:u.U,createSparseMatrixClass:p}},45690:(t,e,r)=>{"use strict";r.d(e,{Y:()=>k});var n=r(26485),i=r(42483),u=r(10885),o=r(6416),a=r(90329),s="isInteger",c=(0,a.P9)(s,["typed"],t=>{var{typed:e}=t;return e(s,{number:o.YN,BigNumber:function(t){return t.isInt()},bigint:function(t){return!0},Fraction:function(t){return 1n===t.d},"Array | Matrix":e.referToSelf(t=>e=>(0,u.Bl)(e,t))})}),f={typedDependencies:i.U,createIsInteger:c},l=r(59273),h=r(19600),d=r(23610),p=r(38458),D=r(3762),m=r(12270),g="concat",v=(0,a.P9)(g,["typed","matrix","isInteger"],t=>{var{typed:e,matrix:r,isInteger:n}=t;return e(g,{"...Array | Matrix | number | BigNumber":function(t){var e,i,u=t.length,o=-1,a=!1,s=[];for(e=0;e<u;e++){var c=t[e];

1if((0,h.OA)(c)&&(a=!0),(0,h.Et)(c)||(0,h.C4)(c)){if(e!==u-1)throw Error("Dimension must be specified as last argument");if(i=o,!n(o=c.valueOf()))throw TypeError("Integer number expected for dimension");if(o<0||e>0&&o>i)throw new D.d(o,i+1)}else{var f=(0,d.o8)(c).valueOf(),l=(0,p.LO)(f);if(s[e]=f,i=o,o=l.length-1,e>0&&o!==i)throw new m.h(i+1,o+1)}}if(0===s.length)throw SyntaxError("At least one matrix expected");for(var g=s.shift();s.length;)g=(0,p.xW)(g,s.shift(),o);return a?r(g):g},"...string":function(t){return t.join("")}})}),y={isIntegerDependencies:f,matrixDependencies:l.p,typedDependencies:i.U,createConcat:v},w=r(86333),b=r(36920),F=r(141),A=(0,a.P9)("matAlgo01xDSid",["typed"],t=>{var{typed:e}=t;return function(t,r,n,i){var u,o,a=t._data,s=t._size,c=t._datatype||t.getDataType(),f=r._values,l=r._index,h=r._ptr,d=r._size,p=r._datatype||void 0===r._data?r._datatype:r.getDataType();if(s.length!==d.length)throw new m.h(s.length,d.length);if(s[0]!==d[0]||s[1]!==d[1])throw RangeError("Dimension mismatch. 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