Function H

public/localscripts/calculationQuestion/math.js:40–40

()

a&&l&&a===l&&"string"==typeof a&&(r=a,v=o.find(c,[r,r]),d=o.find(f,[r,r]));for(var y=[],x=0;p>x;x++){var b=n[x];y[x]=[];for(var w=0;g>w;w++){for(var N=d(b[0],s[0][w]),E=1;m>E;E++)N=v(N,d(b[E],s[E][w]));y[x][w]=N}}return 1===p&&1===g?y[0][0]:new h({data:y,size:[p,g],datatype:r})},A=function(e,t){var r=e._data,n=e._size,i=e._datatype,a=t._values,s=t._index,u=t._ptr,p=t._size,m=t._datatype;if(!a)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var h,v=n[0],d=p[1],y=c,x=f,b=l,w=0;i&&m&&i===m&&"string"==typeof i&&(h=i,y=o.find(c,[h,h]),x=o.find(f,[h,h]),b=o.find(l,[h,h]),w=o.convert(0,h));for(var N=[],E=[],M=[],A=new g({values:N,index:E,ptr:M,size:[v,d],datatype:h}),_=0;d>_;_++){M[_]=E.length;var O=u[_],T=u[_+1];if(T>O)for(var C=0,S=0;v>S;S++){for(var z,B=S+1,k=O;T>k;k++){var I=s[k];C!==B?(z=x(r[S][I],a[k]),C=B):z=y(z,x(r[S][I],a[k]))}C!==B||b(z,w)||(E.push(S),N.push(z))}}return M[d]=E.length,1===v&&1===d?1===N.length?N[0]:0:A},_=function(e,t){var r=e._values,n=e._index,i=e._ptr,a=e._datatype;if(!r)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var s,u=t._data,p=t._datatype,m=e._size[0],h=t._size[0],v=[],d=[],y=[],x=c,b=f,w=l,N=0;a&&p&&a===p&&"string"==typeof a&&(s=a,x=o.find(c,[s,s]),b=o.find(f,[s,s]),w=o.find(l,[s,s]),N=o.convert(0,s));var E=[],M=[];y[0]=0;for(var A=0;h>A;A++){var _=u[A];if(!w(_,N))for(var O=i[A],T=i[A+1],C=O;T>C;C++){var S=n[C];M[S]?E[S]=x(E[S],b(_,r[C])):(M[S]=!0,d.push(S),E[S]=b(_,r[C]))}}for(var z=d.length,B=0;z>B;B++){var k=d[B];v[B]=E[k]}return y[1]=d.length,1===m?1===v.length?v[0]:0:new g({values:v,index:d,ptr:y,size:[m,1],datatype:s})},O=function(e,t){var r=e._values,n=e._index,i=e._ptr,a=e._datatype;if(!r)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var s,u=t._data,p=t._datatype,m=e._size[0],h=t._size[0],v=t._size[1],d=c,y=f,x=l,b=0;a&&p&&a===p&&"string"==typeof a&&(s=a,d=o.find(c,[s,s]),y=o.find(f,[s,s]),x=o.find(l,[s,s]),b=o.convert(0,s));for(var w=[],N=[],E=[],M=new g({values:w,index:N,ptr:E,size:[m,v],datatype:s}),A=[],_=[],O=0;v>O;O++){E[O]=N.length;for(var T=O+1,C=0;h>C;C++){var S=u[C][O];if(!x(S,b))for(var z=i[C],B=i[C+1],k=z;B>k;k++){var I=n[k];_[I]!==T?(_[I]=T,N.push(I),A[I]=y(S,r[k])):A[I]=d(A[I],y(S,r[k]))}}for(var R=E[O],P=N.length,U=R;P>U;U++){var q=N[U];w[U]=A[q]}}return E[v]=N.length,1===m&&1===v?1===w.length?w[0]:0:M},T=function(e,t){var r,n=e._values,i=e._index,a=e._ptr,s=e._datatype,u=t._values,l=t._index,p=t._ptr,m=t._datatype,h=e._size[0],v=t._size[1],d=n&&u,y=c,x=f;s&&m&&s===m&&"string"==typeof s&&(r=s,y=o.find(c,[r,r]),x=o.find(f,[r,r]));for(var b,w,N,E,M,A,_,O,T=d?[]:void 0,C=[],S=[],z=new g({values:T,index:C,ptr:S,size:[h,v],datatype:r}),B=d?[]:void 0,k=[],I=0;v>I;I++){S[I]=C.length;var R=I+1;for(M=p[I],A=p[I+1],E=M;A>E;E++)if(O=l[E],d)for(w=a[O],N=a[O+1],b=w;N>b;b++)_=i[b],k[_]!==R?(k[_]=R,C.push(_),B[_]=x(u[E],n[b])):B[_]=y(B[_],x(u[E],n[b]));else for(w=a[O],N=a[O+1],b=w;N>b;b++)_=i[b],k[_]!==R&&(k[_]=R,C.push(_));if(d)for(var P=S[I],U=C.length,q=P;U>q;q++){var L=C[q];T[q]=B[L]}}return S[v]=C.length,1===h&&1===v&&d?1===T.length?T[0]:0:z};return v.toTex="\\left(${args[0]}"+s.operators.multiply+"${args[1]}\\right)",v}var i=r(3).extend,a=r(39);t.name="multiply",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(47)),o=e.SparseMatrix,s=function(e,t,r,n){var s=e._values,u=e._index,c=e._ptr,f=e._size,l=e._datatype;if(!s)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var p,m=f[0],h=f[1],g=a,v=0,d=r;"string"==typeof l&&(p=l,g=i.find(a,[p,p]),v=i.convert(0,p),t=i.convert(t,p),d=i.find(r,[p,p]));for(var y=[],x=[],b=[],w=new o({values:y,index:x,ptr:b,size:[m,h],datatype:p}),N=0;h>N;N++){b[N]=x.length;for(var E=c[N],M=c[N+1],A=E;M>A;A++){var _=u[A],O=n?d(t,s[A]):d(s[A],t);g(O,v)||(x.push(_),y.push(O))}}return b[h]=x.length,w};return s}t.name="algorithm11",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("abs",{number:Math.abs,Complex:function(e){var t=Math.abs(e.re),r=Math.abs(e.im);if(1e3>t&&1e3>r)return Math.sqrt(t*t+r*r);if(t>=r){var n=r/t;return t*Math.sqrt(1+n*n)}var i=t/r;return r*Math.sqrt(1+i*i)},BigNumber:function(e){return e.abs()},Fraction:function(e){return e.abs()},"Array | Matrix":function(e){return i(e,a,!0)},Unit:function(e){return e.abs()}});return a.toTex="\\left|${args[0]}\\right|",a}var i=r(19);t.name="abs",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(50)),o=n(r(47)),s=n(r(59)),u=n(r(60)),c=n(r(61)),f=n(r(55)),l=n(r(56)),p=r(29),m=i("equal",{"any, any":function(e,t){return null===e?null===t:null===t?null===e:void 0===e?void 0===t:void 0===t?void 0===e:o(e,t)},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=u(e,t,o);break;default:r=s(t,e,o,!0)}break;default:switch(t.storage()){case"sparse":r=s(e,t,o,!1);break;default:r=f(e,t,o)}}return r},"Array, Array":function(e,t){return m(a(e),a(t)).valueOf()},"Array, Matrix":function(e,t){return m(a(e),t)},"Matrix, Array":function(e,t){return m(e,a(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=c(e,t,o,!1);break;default:r=l(e,t,o,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=c(t,e,o,!0);break;default:r=l(t,e,o,!0)}return r},"Array, any":function(e,t){return l(a(e),t,o,!1).valueOf()},"any, Array":function(e,t){return l(a(t),e,o,!0).valueOf()}});return m.toTex="\\left(${args[0]}"+p.operators.equal+"${args[1]}\\right)",m}t.name="equal",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("isNumeric",{"number | BigNumber | Fraction | boolean":function(){return!0},"Complex | Unit | string":function(){return!1},"Array | Matrix":function(e){return i(e,a)}});return a}var i=r(19);r(6);t.name="isNumeric",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("format",{any:i.format,"any, Object | function | number":i.format});return a.toTex="\\mathrm{${name}}\\left(${args}\\right)",a}var i=r(23);t.name="format",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("_typeof",{any:function(e){var t=i.type(e);if("Object"===t){if(e.isBigNumber===!0)return"BigNumber";if(e.isComplex===!0)return"Complex";if(e.isFraction===!0)return"Fraction";if(e.isMatrix===!0)return"Matrix";if(e.isUnit===!0)return"Unit";if(e.isIndex===!0)return"Index";if(e.isRange===!0)return"Range";if(e.isChain===!0)return"Chain";if(e.isHelp===!0)return"Help"}return t}});return a.toTex="\\mathrm{${name}}\\left(${args}\\right)",a}var i=r(40);t.name="typeof",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("unit",{Unit:function(e){return e.clone()},string:function(t){return e.Unit.isValuelessUnit(t)?new e.Unit(null,t):e.Unit.parse(t)},"number | BigNumber | Fraction | Complex, string":function(t,r){return new e.Unit(t,r)},"Array | Matrix":function(e){return i(e,a)}});return a.toTex={1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)${args[1]}\\right)"},a}var i=r(19);t.name="unit",t.factory=n},function(e,t,r){function n(e,t,r,n,a){function o(t){var r=e.Unit.parse(t);return r.fixPrefix=!0,r}i(a,"speedOfLight",function(){return o("299792458 m s^-1")}),i(a,"gravitationConstant",function(){return o("6.6738480e-11 m^3 kg^-1 s^-2")}),i(a,"planckConstant",function(){return o("6.626069311e-34 J s")}),i(a,"reducedPlanckConstant",function(){return o("1.05457172647e-34 J s")}),i(a,"magneticConstant",function(){return o("1.2566370614e-6 N A^-2")}),i(a,"electricConstant",function(){return o("8.854187817e-12 F m^-1")}),i(a,"vacuumImpedance",function(){return o("376.730313461 ohm")}),i(a,"coulomb",function(){return o("8.9875517873681764e9 N m^2 C^-2")}),i(a,"elementaryCharge",function(){return o("1.60217656535e-19 C")}),i(a,"bohrMagneton",function(){return o("9.2740096820e-24 J T^-1")}),i(a,"conductanceQuantum",function(){return o("7.748091734625e-5 S")}),i(a,"inverseConductanceQuantum",function(){return o("12906.403721742 ohm")}),i(a,"magneticFluxQuantum",function(){return o("2.06783375846e-15 Wb")}),i(a,"nuclearMagneton",function(){return o("5.0507835311e-27 J T^-1")}),i(a,"klitzing",function(){return o("25812.807443484 ohm")}),i(a,"bohrRadius",function(){return o("5.291772109217e-11 m")}),i(a,"classicalElectronRadius",function(){return o("2.817940326727e-15 m")}),i(a,"electronMass",function(){return o("9.1093829140e-31 kg")}),i(a,"fermiCoupling",function(){return o("1.1663645e-5 GeV^-2")}),i(a,"fineStructure",function(){return.007297352569824}),i(a,"hartreeEnergy",function(){return o("4.3597443419e-18 J")}),i(a,"protonMass",function(){return o("1.67262177774e-27 kg")}),i(a,"deuteronMass",function(){return o("3.3435830926e-27 kg")}),i(a,"neutronMass",function(){return o("1.6749271613e-27 kg")}),i(a,"quantumOfCirculation",function(){return o("3.636947552024e-4 m^2 s^-1")}),i(a,"rydberg",function(){return o("10973731.56853955 m^-1")}),i(a,"thomsonCrossSection",function(){return o("6.65245873413e-29 m^2")}),i(a,"weakMixingAngle",function(){return.222321}),i(a,"efimovFactor",function(){return 22.7}),i(a,"atomicMass",function(){return o("1.66053892173e-27 kg")}),i(a,"avogadro",function(){return o("6.0221412927e23 mol^-1")}),i(a,"boltzmann",function(){return o("1.380648813e-23 J K^-1")}),i(a,"faraday",function(){return o("96485.336521 C mol^-1")}),i(a,"firstRadiation",function(){return o("3.7417715317e-16 W m^2")}),i(a,"loschmidt",function(){return o("2.686780524e25 m^-3")}),i(a,"gasConstant",function(){return o("8.314462175 J K^-1 mol^-1")}),i(a,"molarPlanckConstant",function(){return o("3.990312717628e-10 J s mol^-1")}),i(a,"molarVolume",function(){return o("2.241396820e-10 m^3 mol^-1")}),i(a,"sackurTetrode",function(){return-1.164870823}),i(a,"secondRadiation",function(){return o("1.438777013e-2 m K")}),i(a,"stefanBoltzmann",function(){return o("5.67037321e-8 W m^-2 K^-4")}),i(a,"wienDisplacement",function(){return o("2.897772126e-3 m K")}),i(a,"molarMass",function(){return o("1e-3 kg mol^-1")}),i(a,"molarMassC12",function(){return o("1.2e-2 kg mol^-1")}),i(a,"gravity",function(){return o("9.80665 m s^-2")}),i(a,"planckLength",function(){return o("1.61619997e-35 m")}),i(a,"planckMass",function(){return o("2.1765113e-8 kg")}),i(a,"planckTime",function(){return o("5.3910632e-44 s")}),i(a,"planckCharge",function(){return o("1.87554595641e-18 C")}),i(a,"planckTemperature",function(){return o("1.41683385e+32 K")})}var i=r(3).lazy;t.factory=n,t.lazy=!1,t.math=!0},function(e,t,r){"use strict";function n(e,t,o,s,u){u.on("config",function(r,i){r.number!==i.number&&n(e,t,o,s,u)}),u["true"]=!0,u["false"]=!1,u["null"]=null,u.uninitialized=r(39).UNINITIALIZED,"bignumber"===t.number?(u.Infinity=new e.BigNumber(1/0),u.NaN=new e.BigNumber(NaN),i.lazy(u,"pi",function(){return a.pi(e.BigNumber)}),i.lazy(u,"tau",function(){return a.tau(e.BigNumber)}),i.lazy(u,"e",function(){return a.e(e.BigNumber)}),i.lazy(u,"phi",function(){return a.phi(e.BigNumber)}),i.lazy(u,"E",function(){return u.e}),i.lazy(u,"LN2",function(){return new e.BigNumber(2).ln()}),i.lazy(u,"LN10",function(){return new e.BigNumber(10).ln()}),i.lazy(u,"LOG2E",function(){return new e.BigNumber(1).div(new e.BigNumber(2).ln())}),i.lazy(u,"LOG10E",function(){return new e.BigNumber(1).div(new e.BigNumber(10).ln())}),i.lazy(u,"PI",function(){return u.pi}),i.lazy(u,"SQRT1_2",function(){return new e.BigNumber("0.5").sqrt()}),i.lazy(u,"SQRT2",function(){return new e.BigNumber(2).sqrt()})):(u.Infinity=1/0,u.NaN=NaN,u.pi=Math.PI,u.tau=2*Math.PI,u.e=Math.E,u.phi=1.618033988749895,u.E=u.e,u.LN2=Math.LN2,u.LN10=Math.LN10,u.LOG2E=Math.LOG2E,u.LOG10E=Math.LOG10E,u.PI=u.pi,u.SQRT1_2=Math.SQRT1_2,u.SQRT2=Math.SQRT2),u.i=new e.Complex(0,1),u.version=r(95)}var i=r(3),a=r(93);t.factory=n,t.lazy=!1,t.math=!0},function(e,t,r){function n(e){return e[0].precision}var i=r(44).memoize,a=r(94);t.e=i(function(e){return new e(1).exp()},n),t.phi=i(function(e){return new e(1).plus(new e(5).sqrt()).div(2)},n),t.pi=i(function(e){var t=e.constructor({precision:e.precision+4}),r=new t(4).times(a(new t(1).div(5))).minus(a(new t(1).div(239)));return new e(4).times(r)},n),t.tau=i(function(e){var r=t.pi(e.constructor({precision:e.precision+2}));return new e(2).times(r)},n)},function(e,t){e.exports=function(e){for(var t=e,r=NaN,n=e.times(e),i=e,a=!0,o=3;!t.equals(r);o+=2)i=i.times(n),r=t,a=!a,t=a?t.plus(i.div(o)):t.minus(i.div(o));return t}},function(e,t){e.exports="2.7.0"},function(e,t,r){e.exports=[r(97),r(267),r(291),r(292),r(319),r(269),r(290)]},function(e,t,r){function n(e,t,n,i){var a={};return a.bignumber=r(98),a["boolean"]=r(99),a.complex=r(100),a.fraction=r(101),a.index=r(102),a.matrix=r(103),a.number=r(104),a.sparse=r(105),a.string=r(106),a.unit=r(107),a.e=r(108),a.E=r(108),a["false"]=r(109),a.i=r(110),a.Infinity=r(111),a.LN2=r(112),a.LN10=r(113),a.LOG2E=r(114),a.LOG10E=r(115),a.NaN=r(116),a["null"]=r(117),a.pi=r(118),a.PI=r(118),a.phi=r(119),a.SQRT1_2=r(120),a.SQRT2=r(121),a.tau=r(122),a["true"]=r(123),a.version=r(124),a.speedOfLight={description:"Speed of light in vacuum",examples:["speedOfLight"]},a.gravitationConstant={description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},a.planckConstant={description:"Planck constant",examples:["planckConstant"]},a.reducedPlanckConstant={description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},a.magneticConstant={description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},a.electricConstant={description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},a.vacuumImpedance={description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},a.coulomb={description:"Coulomb's constant",examples:["coulomb"]},a.elementaryCharge={description:"Elementary charge",examples:["elementaryCharge"]},a.bohrMagneton={description:"Borh magneton",examples:["bohrMagneton"]},a.conductanceQuantum={description:"Conductance quantum",examples:["conductanceQuantum"]},a.inverseConductanceQuantum={description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},a.magneticFluxQuantum={description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},a.nuclearMagneton={description:"Nuclear magneton",examples:["nuclearMagneton"]},a.klitzing={description:"Von Klitzing constant",examples:["klitzing"]},a.bohrRadius={description:"Borh radius",examples:["bohrRadius"]},a.classicalElectronRadius={description:"Classical electron radius",examples:["classicalElectronRadius"]},a.electronMass={description:"Electron mass",examples:["electronMass"]},a.fermiCoupling={description:"Fermi coupling constant",examples:["fermiCoupling"]},a.fineStructure={description:"Fine-structure constant",examples:["fineStructure"]},a.hartreeEnergy={description:"Hartree energy",examples:["hartreeEnergy"]},a.protonMass={description:"Proton mass",examples:["protonMass"]},a.deuteronMass={description:"Deuteron Mass",examples:["deuteronMass"]},a.neutronMass={description:"Neutron mass",examples:["neutronMass"]},a.quantumOfCirculation={description:"Quantum of circulation",examples:["quantumOfCirculation"]},a.rydberg={description:"Rydberg constant",examples:["rydberg"]},a.thomsonCrossSection={description:"Thomson cross section",examples:["thomsonCrossSection"]},a.weakMixingAngle={description:"Weak mixing angle",examples:["weakMixingAngle"]},a.efimovFactor={description:"Efimov factor",examples:["efimovFactor"]},a.atomicMass={description:"Atomic mass constant",examples:["atomicMass"]},a.avogadro={description:"Avogadro's number",examples:["avogadro"]},a.boltzmann={description:"Boltzmann constant",examples:["boltzmann"]},a.faraday={description:"Faraday constant",examples:["faraday"]},a.firstRadiation={description:"First radiation constant",examples:["firstRadiation"]},a.loschmidt={description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},a.gasConstant={description:"Gas constant",examples:["gasConstant"]},a.molarPlanckConstant={description:"Molar Planck constant",examples:["molarPlanckConstant"]},a.molarVolume={description:"Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa",examples:["molarVolume"]},a.sackurTetrode={description:"Sackur-Tetrode constant at T=1 K and p=101.325 kPa",examples:["sackurTetrode"]},a.secondRadiation={description:"Second radiation constant",examples:["secondRadiation"]},a.stefanBoltzmann={description:"Stefan-Boltzmann constant",examples:["stefanBoltzmann"]},a.wienDisplacement={description:"Wien displacement law constant",examples:["wienDisplacement"]},a.molarMass={description:"Molar mass constant",examples:["molarMass"]},a.molarMassC12={description:"Molar mass constant of carbon-12",examples:["molarMassC12"]},a.gravity={description:"Standard acceleration of gravity (standard acceleration of free-fall on Earth)",examples:["gravity"]},a.planckLength={description:"Planck length",examples:["planckLength"]},a.planckMass={description:"Planck mass",examples:["planckMass"]},a.planckTime={description:"Planck time",examples:["planckTime"]},a.planckCharge={description:"Planck charge",examples:["planckCharge"]},a.planckTemperature={description:"Planck temperature",examples:["planckTemperature"]},a.lsolve=r(125),a.lup=r(126),a.lusolve=r(127),a.slu=r(128),a.usolve=r(129),a.abs=r(130),a.add=r(131),a.cbrt=r(132),a.ceil=r(133),a.cube=r(134),a.divide=r(135),a.dotDivide=r(136),a.dotMultiply=r(137),a.dotPow=r(138),a.exp=r(139),a.fix=r(140),a.floor=r(141),a.gcd=r(142),a.hypot=r(143),a.lcm=r(144),a.log=r(145),a.log10=r(146),a.mod=r(147),a.multiply=r(148),a.norm=r(149),a.nthRoot=r(150),a.pow=r(151),a.round=r(152),a.sign=r(153),a.sqrt=r(154),a.square=r(155),a.subtract=r(156),a.unaryMinus=r(157),a.unaryPlus=r(158),a.xgcd=r(159),a.bitAnd=r(160),a.bitNot=r(161),a.bitOr=r(162),a.bitXor=r(163),a.leftShift=r(164),a.rightArithShift=r(165),a.rightLogShift=r(166),a.bellNumbers=r(167),a.catalan=r(168),a.composition=r(169),a.stirlingS2=r(170),a.arg=r(171),a.conj=r(172),a.re=r(173),a.im=r(174),a.eval=r(175),a.help=r(176),a.distance=r(177),a.intersect=r(178),a.and=r(179),a.not=r(180),a.or=r(181),a.xor=r(182),a.concat=r(183),a.cross=r(184),a.det=r(185),a.diag=r(186),a.dot=r(187),a.eye=r(188),a.flatten=r(189),a.inv=r(190),a.ones=r(191),a.range=r(192),a.resize=r(193),a.size=r(194),a.squeeze=r(195),a.subset=r(196),a.trace=r(197),a.transpose=r(198),a.zeros=r(199),a.combinations=r(200),a.factorial=r(201),a.gamma=r(202),a.kldivergence=r(203),a.multinomial=r(204),a.permutations=r(205),a.pickRandom=r(206),a.random=r(207),a.randomInt=r(208),a.compare=r(209),a.deepEqual=r(210),a.equal=r(211),a.larger=r(212),a.largerEq=r(213),a.smaller=r(214),a.smallerEq=r(215),a.unequal=r(216),a.max=r(217),a.mean=r(218),a.median=r(219),a.min=r(220),a.mode=r(221),a.prod=r(222),a.quantileSeq=r(223),a.std=r(224),a.sum=r(225),a["var"]=r(226),a.acos=r(227),a.acosh=r(228),a.acot=r(229),a.acoth=r(230),a.acsc=r(231),a.acsch=r(232),a.asec=r(233),a.asech=r(234),a.asin=r(235),a.asinh=r(236),a.atan=r(237),a.atanh=r(238),a.atan2=r(239),a.cos=r(240),a.cosh=r(241),a.cot=r(242),a.coth=r(243),a.csc=r(244),a.csch=r(245),a.sec=r(246),a.sech=r(247),a.sin=r(248),a.sinh=r(249),a.tan=r(250),a.tanh=r(251),a.to=r(252),a.clone=r(253),a.map=r(254),a.partitionSelect=r(255),a.filter=r(256),a.forEach=r(257),a.format=r(258),a.isInteger=r(259),a.isNegative=r(260),a.isNumeric=r(261),a.isPositive=r(262),a.isZero=r(263),a["import"]=r(264),a.sort=r(265),a["typeof"]=r(266),a}t.name="docs",t.path="expression",t.factory=n},function(e,t){e.exports={name:"bignumber",category:"Type",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","fraction","index","matrix","string","unit"]}},function(e,t){e.exports={name:"boolean",category:"Type",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]}},function(e,t){e.exports={name:"complex",category:"Type",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]}},function(e,t){e.exports={name:"fraction",category:"Type",syntax:["fraction(num)","fraction(num,den)"],description:"Create a fraction from a number or from a numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]}},function(e,t){e.exports={name:"index",category:"Type",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["[]","[1, 2, 3]","A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[0:2, 0:2] = ones(2, 2)"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]}},function(e,t){e.exports={name:"matrix",category:"Type",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()",'matrix("dense")',"matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])",'matrix([3, 4; 5, 6], "sparse")','matrix([3, 4; 5, 6], "sparse", "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","sparse"]}},function(e,t){e.exports={name:"number",category:"Type",syntax:["x","number(x)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])",'number("52cm", "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]}},function(e,t){e.exports={name:"sparse",category:"Type",syntax:["sparse()","sparse([a1, b1, ...; a1, b2, ...])",'sparse([a1, b1, ...; a1, b2, ...], "number")'],description:"Create a sparse matrix.",examples:["sparse()","sparse([3, 4; 5, 6])",'sparse([3, 0; 5, 0], "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","matrix"]}},function(e,t){e.exports={name:"string",category:"Type",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]}},function(e,t){e.exports={name:"unit",category:"Type",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]}},function(e,t){e.exports={name:"e",category:"Constants",syntax:["e"],description:"Euler's number, the base of the natural logarithm. Approximately equal to 2.71828",examples:["e","e ^ 2","exp(2)","log(e)"],seealso:["exp"]}},function(e,t){e.exports={name:"false",category:"Constants",syntax:["false"],description:"Boolean value false",examples:["false"],seealso:["true"]}},function(e,t){e.exports={name:"i",category:"Constants",syntax:["i"],description:"Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]}},function(e,t){e.exports={name:"Infinity",category:"Constants",syntax:["Infinity"],description:"Infinity, a number which is larger than the maximum number that can be handled by a floating point number.",examples:["Infinity","1 / 0"],seealso:[]}},function(e,t){e.exports={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]}},function(e,t){e.exports={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]}},function(e,t){e.exports={name:"LOG2E",category:"Constants",syntax:["LOG2E"],description:"Returns the base-2 logarithm of E, approximately equal to 1.442",examples:["LOG2E","log(e, 2)"],seealso:[]}},function(e,t){e.exports={name:"LOG10E",category:"Constants",syntax:["LOG10E"],description:"Returns the base-10 logarithm of E, approximately equal to 0.434",examples:["LOG10E","log(e, 10)"],seealso:[]}},function(e,t){e.exports={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]}},function(e,t){e.exports={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]}},function(e,t){e.exports={name:"pi",category:"Constants",syntax:["pi"],description:"The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159",examples:["pi","sin(pi/2)"],seealso:["tau"]}},function(e,t){e.exports={name:"phi",category:"Constants",syntax:["phi"],description:"Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...",examples:["tau"],seealso:[]}},function(e,t){e.exports={name:"SQRT1_2",category:"Constants",syntax:["SQRT1_2"],description:"Returns the square root of 1/2, approximately equal to 0.707",examples:["SQRT1_2","sqrt(1/2)"],seealso:[]}},function(e,t){e.exports={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]}},function(e,t){e.exports={name:"tau",category:"Constants",syntax:["tau"],description:"Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.",examples:["tau","2 * pi"],seealso:["pi"]}},function(e,t){e.exports={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]}},function(e,t){e.exports={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]}},function(e,t){e.exports={name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Solves the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lup","lusolve","usolve","matrix","sparse"]}},function(e,t){e.exports={name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu"]}},function(e,t){e.exports={name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]}},function(e,t){e.exports={name:"slu",category:"Algebra",syntax:["slu(A, order, threshold)"],description:"Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup"]}},function(e,t){e.exports={name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Solves the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["lup","lusolve","lsolve","matrix","sparse"]}},function(e,t){e.exports={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]}},function(e,t){e.exports={name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]}},function(e,t){e.exports={name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]}},function(e,t){e.exports={name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]}},function(e,t){e.exports={name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]}},function(e,t){e.exports={name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]}},function(e,t){e.exports={name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]}},function(e,t){e.exports={name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]}},function(e,t){e.exports={name:"dotpow",category:"Operators",syntax:["x .^ y","dotpow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]}},function(e,t){e.exports={name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["pow","log"]}},function(e,t){e.exports={name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]}},function(e,t){e.exports={name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]}},function(e,t){e.exports={name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]}},function(e,t){e.exports={name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]
}},function(e,t){e.exports={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]}},function(e,t){e.exports={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log10"]}},function(e,t){e.exports={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]}},function(e,t){e.exports={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","function isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]}},function(e,t){e.exports={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]}},function(e,t){e.exports={name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i))","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)","norm([[1, 2], [3, 4]], 'inf')","norm([[1, 2], [3, 4]], 'fro')"]}},function(e,t){e.exports={name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["sqrt","pow"]}},function(e,t){e.exports={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3 = 8","2*2*2","1 + e ^ (pi * i)"],seealso:["multiply"]}},function(e,t){e.exports={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]}},function(e,t){e.exports={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]}},function(e,t){e.exports={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","multiply"]}},function(e,t){e.exports={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]}},function(e,t){e.exports={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]}},function(e,t){e.exports={name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]}},function(e,t){e.exports={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]}},function(e,t){e.exports={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]}},function(e,t){e.exports={name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]}},function(e,t){e.exports={name:"rightArithShift",category:"Bitwise",syntax:["x >> y","leftShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]}},function(e,t){e.exports={name:"rightLogShift",category:"Bitwise",syntax:["x >> y","leftShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]}},function(e,t){e.exports={name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]}},function(e,t){e.exports={name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]}},function(e,t){e.exports={name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]}},function(e,t){e.exports={name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]}},function(e,t){e.exports={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]}},function(e,t){e.exports={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]}},function(e,t){e.exports={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]}},function(e,t){e.exports={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]}},function(e,t){e.exports={name:"eval",category:"Expression",syntax:["eval(expression)","eval([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['eval("2 + 3")','eval("sqrt(" + 4 + ")")'],seealso:[]}},function(e,t){e.exports={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]}},function(e,t){e.exports={name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]}},function(e,t){e.exports={name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])"],seealso:[]}},function(e,t){e.exports={name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]}},function(e,t){e.exports={name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]}},function(e,t){e.exports={name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]}},function(e,t){e.exports={name:"xor",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 or 4"],seealso:["not","and","or"]}},function(e,t){e.exports={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","eye","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0],  [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4],  [5, 6, 7])"],seealso:["multiply","dot"]}},function(e,t){e.exports={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","eye","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","eye","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"dot",category:"Matrix",syntax:["dot(A, B)"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]}},function(e,t){e.exports={name:"eye",category:"Matrix",syntax:["eye(n)","eye(m, n)","eye([m, n])","eye"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["eye(3)","eye(3, 5)","a = [1, 2, 3; 4, 5, 6]","eye(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]}},function(e,t){e.exports={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","eye","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])","ones"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","eye","inv","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","eye","inv","ones","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze"]}},function(e,t){e.exports={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","det","diag","eye","inv","ones","range","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","eye","inv","ones","range","size","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","trace","transpose","zeros"]}},function(e,t){e.exports={name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},function(e,t){e.exports={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","trace","zeros"]}},function(e,t){e.exports={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])","zeros"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","trace","transpose"]}},function(e,t){e.exports={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["permutations","factorial"]}},function(e,t){e.exports={name:"factorial",category:"Probability",syntax:["kldivergence(x, y)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","permutations","gamma"]}},function(e,t){e.exports={name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]}},function(e,t){e.exports={name:"kldivergence",category:"Probability",syntax:["n!","factorial(n)"],description:"Calculate the Kullback-Leibler (KL) divergence  between two distributions.",examples:["math.kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]}},function(e,t){e.exports={name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai <= 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]}},function(e,t){e.exports={name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","factorial"]}},function(e,t){e.exports={name:"pickRandom",category:"Probability",syntax:["pickRandom(array)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])"],seealso:["random","randomInt"]}},function(e,t){e.exports={name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]}},function(e,t){e.exports={name:"randInt",category:"Probability",syntax:["randInt(max)","randInt(min, max)","randInt(size)","randInt(size, max)","randInt(size, min, max)"],description:"Return a random integer number",examples:["randInt(10, 20)","randInt([2, 3], 10)"],seealso:["pickRandom","random"]}},function(e,t){e.exports={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 if x is larger than y, -1 if x is smaller than y, and 0 if x and y are equal.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq"]}},function(e,t){e.exports={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["[1,3,4] == [1,3,4]","[1,3,4] == [1,3]"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]}},function(e,t){e.exports={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 > 1+1","2 >= 1+1","a = 3.2","b = 6-2.8","(a > b)"],seealso:["equal","unequal","smallerEq","smaller","largerEq","compare"]}},function(e,t){e.exports={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 1+1","2 <= 1+1","a = 3.2","b = 6-2.8","(a < b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]}},function(e,t){e.exports={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]}},function(e,t){e.exports={name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dim)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dim)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dim)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","var"]}},function(e,t){e.exports={name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(5, 2, 7)","mode([3, -1, 5, 7])"],seealso:["max","mean","min","median","prod","std","sum","var"]}},function(e,t){e.exports={name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","var"]}},function(e,t){e.exports={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:"Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.",examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","var"]}},function(e,t){e.exports={name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(var(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","sum","var"]}},function(e,t){e.exports={name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"var",category:"Statistics",syntax:["var(a, b, c, ...)","var(A)","var(A, normalization)"],description:'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["var(2, 4, 6)","var([2, 4, 6, 8])",'var([2, 4, 6, 8], "uncorrected")','var([2, 4, 6, 8], "biased")',"var([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","std","sum"]}},function(e,t){e.exports={name:"acos",category:"Trigonometry",syntax:["acos(x)"],description:"Compute the inverse cosine of a value in radians.",examples:["acos(0.5)","acos(cos(2.3))"],seealso:["cos","atan","asin"]}},function(e,t){e.exports={name:"acosh",category:"Trigonometry",syntax:["acosh(x)"],description:"Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.",examples:["acosh(1.5)"],seealso:["cosh","asinh","atanh"]}},function(e,t){e.exports={name:"acot",category:"Trigonometry",syntax:["acot(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acot(0.5)","acot(cot(0.5))","acot(2)"],seealso:["cot","atan"]}},function(e,t){e.exports={name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.",examples:["acoth(0.5)"],seealso:["acsch","asech"]}},function(e,t){e.exports={name:"acsc",category:"Trigonometry",syntax:["acsc(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acsc(0.5)","acsc(csc(0.5))","acsc(2)"],seealso:["csc","asin","asec"]}},function(e,t){e.exports={name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]}},function(e,t){e.exports={name:"asec",category:"Trigonometry",syntax:["asec(x)"],description:"Calculate the inverse secant of a value.",examples:["asec(0.5)","asec(sec(0.5))","asec(2)"],seealso:["acos","acot","acsc"]}},function(e,t){e.exports={name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]}},function(e,t){e.exports={name:"asin",category:"Trigonometry",syntax:["asin(x)"],description:"Compute the inverse sine of a value in radians.",examples:["asin(0.5)","asin(sin(2.3))"],seealso:["sin","acos","atan"]}},function(e,t){e.exports={name:"asinh",category:"Trigonometry",syntax:["asinh(x)"],description:"Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.",examples:["asinh(0.5)"],seealso:["acosh","atanh"]}},function(e,t){e.exports={name:"atan",category:"Trigonometry",syntax:["atan(x)"],description:"Compute the inverse tangent of a value in radians.",examples:["atan(0.5)","atan(tan(2.3))"],seealso:["tan","acos","asin"]}},function(e,t){e.exports={name:"atanh",category:"Trigonometry",syntax:["atanh(x)"],description:"Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.",examples:["atanh(0.5)"],seealso:["acosh","asinh"]}},function(e,t){e.exports={name:"atan2",category:"Trigonometry",syntax:["atan2(y, x)"],description:"Computes the principal value of the arc tangent of y/x in radians.",examples:["atan2(2, 2) / pi","angle = 60 deg in rad","x = cos(angle)","y = sin(angle)","atan2(y, x)"],seealso:["sin","cos","tan"]}},function(e,t){e.exports={name:"cos",category:"Trigonometry",syntax:["cos(x)"],description:"Compute the cosine of x in radians.",examples:["cos(2)","cos(pi / 4) ^ 2","cos(180 deg)","cos(60 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["acos","sin","tan"]}},function(e,t){e.exports={name:"cosh",category:"Trigonometry",syntax:["cosh(x)"],description:"Compute the hyperbolic cosine of x in radians.",examples:["cosh(0.5)"],seealso:["sinh","tanh","coth"]}},function(e,t){e.exports={name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. Defined as 1/tan(x)",examples:["cot(2)","1 / tan(2)"],seealso:["sec","csc","tan"]}},function(e,t){e.exports={name:"coth",category:"Trigonometry",syntax:["coth(x)"],description:"Compute the hyperbolic cotangent of x in radians.",
examples:["coth(2)","1 / tanh(2)"],seealso:["sech","csch","tanh"]}},function(e,t){e.exports={name:"csc",category:"Trigonometry",syntax:["csc(x)"],description:"Compute the cosecant of x in radians. Defined as 1/sin(x)",examples:["csc(2)","1 / sin(2)"],seealso:["sec","cot","sin"]}},function(e,t){e.exports={name:"csch",category:"Trigonometry",syntax:["csch(x)"],description:"Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)",examples:["csch(2)","1 / sinh(2)"],seealso:["sech","coth","sinh"]}},function(e,t){e.exports={name:"sec",category:"Trigonometry",syntax:["sec(x)"],description:"Compute the secant of x in radians. Defined as 1/cos(x)",examples:["sec(2)","1 / cos(2)"],seealso:["cot","csc","cos"]}},function(e,t){e.exports={name:"sech",category:"Trigonometry",syntax:["sech(x)"],description:"Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)",examples:["sech(2)","1 / cosh(2)"],seealso:["coth","csch","cosh"]}},function(e,t){e.exports={name:"sin",category:"Trigonometry",syntax:["sin(x)"],description:"Compute the sine of x in radians.",examples:["sin(2)","sin(pi / 4) ^ 2","sin(90 deg)","sin(30 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["asin","cos","tan"]}},function(e,t){e.exports={name:"sinh",category:"Trigonometry",syntax:["sinh(x)"],description:"Compute the hyperbolic sine of x in radians.",examples:["sinh(0.5)"],seealso:["cosh","tanh"]}},function(e,t){e.exports={name:"tan",category:"Trigonometry",syntax:["tan(x)"],description:"Compute the tangent of x in radians.",examples:["tan(0.5)","sin(0.5) / cos(0.5)","tan(pi / 4)","tan(45 deg)"],seealso:["atan","sin","cos"]}},function(e,t){e.exports={name:"tanh",category:"Trigonometry",syntax:["tanh(x)"],description:"Compute the hyperbolic tangent of x in radians.",examples:["tanh(0.5)","sinh(0.5) / cosh(0.5)"],seealso:["sinh","cosh"]}},function(e,t){e.exports={name:"to",category:"Units",syntax:["x to unit","to(x, unit)"],description:"Change the unit of a value.",examples:["5 inch to cm","3.2kg to g","16 bytes in bits"],seealso:[]}},function(e,t){e.exports={name:"clone",category:"Utils",syntax:["clone(x)"],description:"Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices",examples:["clone(3.5)","clone(2 - 4i)","clone(45 deg)","clone([1, 2; 3, 4])",'clone("hello world")'],seealso:[]}},function(e,t){e.exports={name:"map",category:"Utils",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], function(val) { return value * value })"],seealso:["filter","forEach"]}},function(e,t){e.exports={name:"partitionSelect",category:"Utils",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1)'],seealso:["sort"]}},function(e,t){e.exports={name:"filter",category:"Utils",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]}},function(e,t){e.exports={name:"forEach",category:"Utils",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["forEach([1, 2, 3], function(val) { console.log(val) })"],seealso:["map","sort","filter"]}},function(e,t){e.exports={name:"format",category:"Utils",syntax:["format(value)","format(value, precision)"],description:"Format a value of any type as string.",examples:["format(2.3)","format(3 - 4i)","format([])","format(pi, 3)"],seealso:["print"]}},function(e,t){e.exports={name:"isInteger",category:"Utils",syntax:["isInteger(x)"],description:"Test whether a value is an integer number.",examples:["isInteger(2)","isInteger(3.5)","isInteger([3, 0.5, -2])"],seealso:["isNegative","isNumeric","isPositive","isZero"]}},function(e,t){e.exports={name:"isNegative",category:"Utils",syntax:["isNegative(x)"],description:"Test whether a value is negative: smaller than zero.",examples:["isNegative(2)","isNegative(0)","isNegative(-4)","isNegative([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isPositive","isZero"]}},function(e,t){e.exports={name:"isNumeric",category:"Utils",syntax:["isNumeric(x)"],description:"Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.",examples:["isNumeric(2)","isNumeric(0)","isNumeric(bignumber(500))","isNumeric(fraction(0.125))",'isNumeric("3")',"isNumeric(2 + 3i)",'isNumeric([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive"]}},function(e,t){e.exports={name:"isPositive",category:"Utils",syntax:["isPositive(x)"],description:"Test whether a value is positive: larger than zero.",examples:["isPositive(2)","isPositive(0)","isPositive(-4)","isPositive([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isNegative","isZero"]}},function(e,t){e.exports={name:"isZero",category:"Utils",syntax:["isZero(x)"],description:"Test whether a value is zero.",examples:["isZero(2)","isZero(0)","isZero(-4)","isZero([3, 0, -2, 0])"],seealso:["isInteger","isNumeric","isNegative","isPositive"]}},function(e,t){e.exports={name:"import",category:"Utils",syntax:["import(string)"],description:"Import functions from a file.",examples:['import("numbers")','import("./mylib.js")'],seealso:[]}},function(e,t){e.exports={name:"sort",category:"Utils",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc" or "desc", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)'],seealso:["map","filter","forEach"]}},function(e,t){e.exports={name:"typeof",category:"Utils",syntax:["typeof(x)"],description:"Get the type of a variable.",examples:["typeof(3.5)","typeof(2 - 4i)","typeof(45 deg)",'typeof("hello world")'],seealso:[]}},function(e,t,r){e.exports=[r(268),r(286),r(287),r(288),r(289)]},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(269));return a("compile",{string:function(e){return o(e).compile()},"Array | Matrix":function(e){return i(e,function(e){return o(e).compile()})}})}var i=r(19);t.name="compile",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){function s(t,r){if(1!=arguments.length&&2!=arguments.length)throw new i("parse",arguments.length,1,2);if(he=r&&r.nodes?r.nodes:{},"string"==typeof t)return ge=t,x();if(Array.isArray(t)||t instanceof e.Matrix)return a(t,function(e){if("string"!=typeof e)throw new TypeError("String expected");return ge=e,x()});throw new TypeError("String or matrix expected")}function u(){ve=0,de=ge.charAt(0),be=0,we=null}function c(){ve++,de=ge.charAt(ve)}function f(){return ge.charAt(ve+1)}function l(){return ge.charAt(ve+2)}function p(){for(xe=le.NULL,ye="";" "==de||"	"==de||"\n"==de&&be;)c();if("#"==de)for(;"\n"!=de&&""!=de;)c();if(""==de)return void(xe=le.DELIMITER);if("\n"==de&&!be)return xe=le.DELIMITER,ye=de,void c();var e=de+f(),t=e+l();if(3==t.length&&pe[t])return xe=le.DELIMITER,ye=t,c(),c(),void c();if(2==e.length&&pe[e])return xe=le.DELIMITER,ye=e,c(),void c();if(pe[de])return xe=le.DELIMITER,ye=de,void c();if(!d(de)){if(v()){for(;v()||y(de);)ye+=de,c();return void(xe=me[ye]?le.DELIMITER:le.SYMBOL)}for(xe=le.UNKNOWN;""!=de;)ye+=de,c();throw X('Syntax error in part "'+ye+'"')}if(xe=le.NUMBER,"."==de)ye+=de,c(),y(de)||(xe=le.UNKNOWN);else{for(;y(de);)ye+=de,c();"."==de&&(ye+=de,c())}for(;y(de);)ye+=de,c();if(e=f(),("E"==de||"e"==de)&&(y(e)||"-"==e||"+"==e))for(ye+=de,c(),("+"==de||"-"==de)&&(ye+=de,c()),y(de)||(xe=le.UNKNOWN);y(de);)ye+=de,c()}function m(){do p();while("\n"==ye)}function h(){be++}function g(){be--}function v(){var e=ge.charAt(ve-1),t=ge.charAt(ve+1),r=function(e){return/^[a-zA-Z_\u00C0-\u02AF\u0370-\u03FF]$/.test(e)},n=function(e,t){return/^[\uD835]$/.test(e)&&/^[\uDC00-\uDFFF]$/.test(t)&&/^[^\uDC55\uDC9D\uDCA0\uDCA1\uDCA3\uDCA4\uDCA7\uDCA8\uDCAD\uDCBA\uDCBC\uDCC4\uDD06\uDD0B\uDD0C\uDD15\uDD1D\uDD3A\uDD3F\uDD45\uDD47-\uDD49\uDD51\uDEA6\uDEA7\uDFCC\uDFCD]$/.test(t)};return r(de)||n(de,t)||n(e,de)}function d(e){return e>="0"&&"9">=e||"."==e}function y(e){return e>="0"&&"9">=e}function x(){u(),p();var e=b();if(""!=ye)throw xe==le.DELIMITER?J("Unexpected operator "+ye):X('Unexpected part "'+ye+'"');return e}function b(){var e,t,r=[];if(""==ye)return new re("undefined","undefined");for("\n"!=ye&&";"!=ye&&(e=w());"\n"==ye||";"==ye;)0==r.length&&e&&(t=";"!=ye,r.push({node:e,visible:t})),p(),"\n"!=ye&&";"!=ye&&""!=ye&&(e=w(),t=";"!=ye,r.push({node:e,visible:t}));return r.length>0?new ee(r):e}function w(){if(xe==le.SYMBOL&&"function"==ye)throw X('Deprecated keyword "function". Functions can now be assigned without it, like "f(x) = x^2".');return N()}function N(){var e,t,r,n,i=E();if("="==ye){if(i&&i.isSymbolNode)return e=i.name,m(),r=N(),new K(e,r);if(i&&i.isIndexNode)return m(),r=N(),new fe(i,r);if(i&&i.isFunctionNode&&(n=!0,t=[],e=i.name,i.args.forEach(function(e,r){e&&e.isSymbolNode?t[r]=e.name:n=!1}),n))return m(),r=N(),new ne(e,t,r);throw X("Invalid left hand side of assignment operator =")}return i}function E(){for(var e=M();"?"==ye;){var t=we;we=be,m();var r=e,n=M();if(":"!=ye)throw X("False part of conditional expression expected");we=null,m();var i=E();e=new te(r,n,i),we=t}return e}function M(){for(var e=A();"or"==ye;)m(),e=new ae("or","or",[e,A()]);return e}function A(){for(var e=_();"xor"==ye;)m(),e=new ae("xor","xor",[e,_()]);return e}function _(){for(var e=O();"and"==ye;)m(),e=new ae("and","and",[e,O()]);return e}function O(){for(var e=T();"|"==ye;)m(),e=new ae("|","bitOr",[e,T()]);return e}function T(){for(var e=C();"^|"==ye;)m(),e=new ae("^|","bitXor",[e,C()]);return e}function C(){for(var e=S();"&"==ye;)m(),e=new ae("&","bitAnd",[e,S()]);return e}function S(){var e,t,r,n,i;for(e=z(),t={"==":"equal","!=":"unequal","<":"smaller",">":"larger","<=":"smallerEq",">=":"largerEq"};ye in t;)r=ye,n=t[r],m(),i=[e,z()],e=new ae(r,n,i);return e}function z(){var e,t,r,n,i;for(e=B(),t={"<<":"leftShift",">>":"rightArithShift",">>>":"rightLogShift"};ye in t;)r=ye,n=t[r],m(),i=[e,B()],e=new ae(r,n,i);return e}function B(){var e,t,r,n,i;for(e=k(),t={to:"to","in":"to"};ye in t;)r=ye,n=t[r],m(),i=[e,k()],e=new ae(r,n,i);return e}function k(){var e,t=[];if(e=":"==ye?new re("1","number"):I(),":"==ye&&we!==be){for(t.push(e);":"==ye&&t.length<3;)m(),")"==ye||"]"==ye||","==ye||""==ye?t.push(new ce("end")):t.push(I());e=3==t.length?new ue(t[0],t[2],t[1]):new ue(t[0],t[1])}return e}function I(){var e,t,r,n,i;for(e=R(),t={"+":"add","-":"subtract"};ye in t;)r=ye,n=t[r],m(),i=[e,R()],e=new ae(r,n,i);return e}function R(){var e,t,r,n,i;for(e=P(),t=e,r={"*":"multiply",".*":"dotMultiply","/":"divide","./":"dotDivide","%":"mod",mod:"mod"};;)if(ye in r)n=ye,i=r[n],m(),t=P(),e=new ae(n,i,[e,t]);else{if(!(xe==le.SYMBOL||"in"==ye&&e&&e.isConstantNode||xe==le.NUMBER&&!t.isConstantNode||"("==ye||"["==ye))break;t=P(),e=new ae("*","multiply",[e,t])}return e}function P(){var e,t,r={"-":"unaryMinus","+":"unaryPlus","~":"bitNot",not:"not"}[ye];return r?(e=ye,m(),t=[P()],new ae(e,r,t)):U()}function U(){var e,t,r,n;return e=q(),("^"==ye||".^"==ye)&&(t=ye,r="^"==t?"pow":"dotPow",m(),n=[e,P()],e=new ae(t,r,n)),e}function q(){var e,t,r,n,i;for(e=L(),t={"!":"factorial","'":"transpose"};ye in t;)r=ye,n=t[r],p(),i=[e],e=new ae(r,n,i);return e}function L(){var e,t=[];if(xe==le.SYMBOL&&he[ye]){if(e=he[ye],p(),"("==ye){if(t=[],h(),p(),")"!=ye)for(t.push(E());","==ye;)p(),t.push(E());if(")"!=ye)throw X("Parenthesis ) expected");g(),p()}return new e(t)}return F()}function F(){var e,t;return xe==le.SYMBOL||xe==le.DELIMITER&&ye in me?(t=ye,p(),e=D(t),e=$(e)):j()}function D(e){var t;if("("==ye){if(t=[],h(),p(),")"!=ye)for(t.push(E());","==ye;)p(),t.push(E());if(")"!=ye)throw X("Parenthesis ) expected");return g(),p(),new se(e,t)}return new ce(e)}function $(e){for(var t;"["==ye;){if(t=[],h(),p(),"]"!=ye)for(t.push(E());","==ye;)p(),t.push(E());if("]"!=ye)throw X("Parenthesis ] expected");g(),p(),e=new ie(e,t)}return e}function j(){var e,t,r;if('"'==ye){for(t="",r="";""!=de&&('"'!=de||"\\"==r);)t+=de,r=de,c();if(p(),'"'!=ye)throw X('End of string " expected');return p(),e=new re(t,"string"),e=$(e)}return G()}function G(){var e,t,r,n;if("["==ye){if(h(),p(),"]"!=ye){var i=H();if(";"==ye){for(r=1,t=[i];";"==ye;)p(),t[r]=H(),r++;if("]"!=ye)throw X("End of matrix ] expected");g(),p(),n=t[0].nodes.length;for(var a=1;r>a;a++)if(t[a].nodes.length!=n)throw J("Column dimensions mismatch ("+t[a].nodes.length+" != "+n+")");e=new Q(t)}else{if("]"!=ye)throw X("End of matrix ] expected");g(),p(),e=i}}else g(),p(),e=new Q([]);return e}return V()}function H(){for(var e=[N()],t=1;","==ye;)p(),e[t]=N(),t++;return new Q(e)}function V(){var e;return xe==le.NUMBER?(e=ye,p(),new re(e,"number")):Z()}function Z(){var e;if("("==ye){if(h(),p(),e=N(),")"!=ye)throw X("Parenthesis ) expected");return g(),p(),new oe(e)}return Y()}function Y(){throw X(""==ye?"Unexpected end of expression":"Value expected")}function W(){return ve-ye.length+1}function X(e){var t=W(),r=new SyntaxError(e+" (char "+t+")");return r["char"]=t,r}function J(e){var t=W(),r=new Error(e+" (char "+t+")");return r["char"]=t,r}var Q=n(r(270)),K=n(r(273)),ee=n(r(275)),te=n(r(276)),re=n(r(277)),ne=n(r(278)),ie=n(r(279)),ae=n(r(282)),oe=n(r(284)),se=n(r(283)),ue=n(r(280)),ce=n(r(281)),fe=n(r(285)),le={NULL:0,DELIMITER:1,NUMBER:2,SYMBOL:3,UNKNOWN:4},pe={",":!0,"(":!0,")":!0,"[":!0,"]":!0,'"':!0,";":!0,"+":!0,"-":!0,"*":!0,".*":!0,"/":!0,"./":!0,"%":!0,"^":!0,".^":!0,"~":!0,"!":!0,"&":!0,"|":!0,"^|":!0,"'":!0,"=":!0,":":!0,"?":!0,"==":!0,"!=":!0,"<":!0,">":!0,"<=":!0,">=":!0,"<<":!0,">>":!0,">>>":!0},me={mod:!0,to:!0,"in":!0,and:!0,xor:!0,or:!0,not:!0},he={},ge="",ve=0,de="",ye="",xe=le.NULL,be=0,we=null;return s}var i=r(11),a=r(19);t.name="parse",t.path="expression",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(e){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(this.nodes=e||[],!Array.isArray(this.nodes)||!this.nodes.every(function(e){return e&&e.isNode}))throw new TypeError("Array containing Nodes expected")}var s=n(r(271));return o.prototype=new s,o.prototype.type="ArrayNode",o.prototype.isArrayNode=!0,o.prototype._compile=function(e,t){var r="array"!==e.math.config().matrix,n=this.nodes.map(function(r){return r._compile(e,t)});return(r?"math.matrix([":"[")+n.join(",")+(r?"])":"]")},o.prototype.forEach=function(e){for(var t=0;t<this.nodes.length;t++){var r=this.nodes[t];e(r,"nodes["+t+"]",this)}},o.prototype.map=function(e){for(var t=[],r=0;r<this.nodes.length;r++)t[r]=this._ifNode(e(this.nodes[r],"nodes["+r+"]",this));return new o(t)},o.prototype.clone=function(){return new o(this.nodes.slice(0))},o.prototype._toString=function(e){return i.format(this.nodes)},o.prototype._toTex=function(e){var t="\\begin{bmatrix}";return this.nodes.forEach(function(r){t+=r.nodes?r.nodes.map(function(t){return t.toTex(e)}).join("&"):r.toTex(e),t+="\\\\"}),t+="\\end{bmatrix}"},o}var i=r(23);t.name="ArrayNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n,a){function o(){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator")}function s(e){for(var t in e)if(e.hasOwnProperty(t)&&t in i)throw new Error('Scope contains an illegal symbol, "'+t+'" is a reserved keyword')}return o.prototype.eval=function(e){return this.compile().eval(e)},o.prototype.type="Node",o.prototype.isNode=!0,o.prototype.compile=function(){if(arguments.length>0)throw new Error("Calling compile(math) is deprecated. Call the function as compile() instead.");var e={math:a.expression.transform,args:{},_validateScope:s},t={},r=this._compile(e,t),n=Object.keys(e).map(function(e){return"    var "+e+' = defs["'+e+'"];'}),i=n.join(" ")+'return {  "eval": function (scope) {    if (scope) _validateScope(scope);    scope = scope || {};    return '+r+";  }};",o=new Function("defs",i);return o(e)},o.prototype._compile=function(e,t){throw new Error("Cannot compile a Node interface")},o.prototype.forEach=function(e){throw new Error("Cannot run forEach on a Node interface")},o.prototype.map=function(e){throw new Error("Cannot run map on a Node interface")},o.prototype._ifNode=function(e){if(!e||!e.isNode)throw new TypeError("Callback function must return a Node");return e},o.prototype.traverse=function(e){function t(e,r){e.forEach(function(e,n,i){r(e,n,i),t(e,r)})}e(this,null,null),t(this,e)},o.prototype.transform=function(e){function t(e,r){return e.map(function(e,n,i){var a=r(e,n,i);return t(a,r)})}var r=e(this,null,null);return t(r,e)},o.prototype.filter=function(e){var t=[];return this.traverse(function(r,n,i){e(r,n,i)&&t.push(r)}),t},o.prototype.find=function(){throw new Error("Function Node.find is deprecated. Use Node.filter instead.")},o.prototype.match=function(){throw new Error("Function Node.match is deprecated. See functions Node.filter, Node.transform, Node.traverse.")},o.prototype.clone=function(){throw new Error("Cannot clone a Node interface")},o.prototype.toString=function(e){var t;if(e&&"object"==typeof e)switch(typeof e.handler){case"object":case"undefined":break;case"function":t=e.handler(this,e);break;default:throw new TypeError("Object or function expected as callback")}return"undefined"!=typeof t?t:this._toString(e)},o.prototype._toString=function(){throw new Error("_toString not implemented for "+this.type)},o.prototype.toTex=function(e){var t;if(e&&"object"==typeof e)switch(typeof e.handler){case"object":case"undefined":break;case"function":t=e.handler(this,e);break;default:throw new TypeError("Object or function expected as callback")}return"undefined"!=typeof t?t:this._toTex(e)},o.prototype._toTex=function(e){throw new Error("_toTex not implemented for "+this.type)},o.prototype.getIdentifier=function(){return this.type},o.prototype.getContent=function(){return this},o}var i=r(272);r(3).extend;t.name="Node",t.path="expression.node",t.math=!0,t.factory=n},function(e,t){"use strict";e.exports={end:!0}},function(e,t,r){"use strict";function n(e,t,n,a){function o(e,t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('String expected for parameter "name"');if(!t||!t.isNode)throw new TypeError('Node expected for parameter "expr"');if(e in c)throw new Error('Illegal symbol name, "'+e+'" is a reserved keyword');this.name=e,this.expr=t}function s(e,t){var r=f.getPrecedence(e,t),n=f.getPrecedence(e.expr,t);return"all"===t||null!==n&&r>=n}var u=n(r(271)),c=(n(r(270)),r(272)),f=r(274);return o.prototype=new u,o.prototype.type="AssignmentNode",o.prototype.isAssignmentNode=!0,o.prototype._compile=function(e,t){return'scope["'+this.name+'"] = '+this.expr._compile(e,t)},o.prototype.forEach=function(e){e(this.expr,"expr",this)},o.prototype.map=function(e){return new o(this.name,this._ifNode(e(this.expr,"expr",this)))},o.prototype.clone=function(){return new o(this.name,this.expr)},o.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toString(e);return s(this,t)&&(r="("+r+")"),this.name+" = "+r},o.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toTex(e);return s(this,t)&&(r="\\left("+r+"\\right)"),i.toSymbol(this.name)+":="+r},o}var i=r(29);t.name="AssignmentNode",t.path="expression.node",t.factory=n},function(e,t){"use strict";function r(e,t){var r=e;"keep"!==t&&(r=e.getContent());for(var n=r.getIdentifier(),i=0;i<a.length;i++)if(n in a[i])return i;return null}function n(e,t){var n=e;"keep"!==t&&(n=e.getContent());var i=n.getIdentifier(),o=r(n,t);if(null===o)return null;var s=a[o][i];if(s.hasOwnProperty("associativity")){if("left"===s.associativity)return"left";if("right"===s.associativity)return"right";throw Error("'"+i+"' has the invalid associativity '"+s.associativity+"'.")}return null}function i(e,t,n){var i=e,o=t;if("keep"!==n)var i=e.getContent(),o=t.getContent();var s=i.getIdentifier(),u=o.getIdentifier(),c=r(i,n);if(null===c)return null;var f=a[c][s];if(f.hasOwnProperty("associativeWith")&&f.associativeWith instanceof Array){for(var l=0;l<f.associativeWith.length;l++)if(f.associativeWith[l]===u)return!0;return!1}return null}var a=[{AssignmentNode:{},FunctionAssignmentNode:{}},{ConditionalNode:{latexLeftParens:!1,latexRightParens:!1,latexParens:!1}},{"OperatorNode:or":{associativity:"left",associativeWith:[]}},{"OperatorNode:xor":{associativity:"left",associativeWith:[]}},{"OperatorNode:and":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitOr":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitXor":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitAnd":{associativity:"left",associativeWith:[]}},{"OperatorNode:equal":{associativity:"left",associativeWith:[]},"OperatorNode:unequal":{associativity:"left",associativeWith:[]},"OperatorNode:smaller":{associativity:"left",associativeWith:[]},"OperatorNode:larger":{associativity:"left",associativeWith:[]},"OperatorNode:smallerEq":{associativity:"left",associativeWith:[]},"OperatorNode:largerEq":{associativity:"left",associativeWith:[]}},{"OperatorNode:leftShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightArithShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightLogShift":{associativity:"left",associativeWith:[]}},{"OperatorNode:to":{associativity:"left",associativeWith:[]}},{RangeNode:{}},{"OperatorNode:add":{associativity:"left",associativeWith:["OperatorNode:add","OperatorNode:subtract"]},"OperatorNode:subtract":{associativity:"left",associativeWith:[]}},{"OperatorNode:multiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","Operator:dotMultiply","Operator:dotDivide"]},"OperatorNode:divide":{associativity:"left",associativeWith:[],latexLeftParens:!1,latexRightParens:!1,latexParens:!1},"OperatorNode:dotMultiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","OperatorNode:dotMultiply","OperatorNode:doDivide"]},"OperatorNode:dotDivide":{associativity:"left",associativeWith:[]},"OperatorNode:mod":{associativity:"left",associativeWith:[]}},{"OperatorNode:unaryPlus":{associativity:"right"},"OperatorNode:unaryMinus":{associativity:"right"},"OperatorNode:bitNot":{associativity:"right"},"OperatorNode:not":{associativity:"right"}},{"OperatorNode:pow":{associativity:"right",associativeWith:[],latexRightParens:!1},"OperatorNode:dotPow":{associativity:"right",associativeWith:[]}},{"OperatorNode:factorial":{associativity:"left"}},{"OperatorNode:transpose":{associativity:"left"}}];e.exports.properties=a,e.exports.getPrecedence=r,e.exports.getAssociativity=n,e.exports.isAssociativeWith=i},function(e,t,r){"use strict";function n(e,t,n,i){function a(e){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(e))throw new Error("Array expected");this.blocks=e.map(function(e){var t=e&&e.node,r=e&&void 0!==e.visible?e.visible:!0;if(!t||!t.isNode)throw new TypeError('Property "node" must be a Node');if("boolean"!=typeof r)throw new TypeError('Property "visible" must be a boolean');return{node:t,visible:r}})}var o=n(r(271)),s=n(r(70));return a.prototype=new o,a.prototype.type="BlockNode",a.prototype.isBlockNode=!0,a.prototype._compile=function(e,t){e.ResultSet=s;var r=this.blocks.map(function(r){var n=r.node._compile(e,t);return r.visible?"results.push("+n+");":n+";"});return"(function () {var results = [];"+r.join("")+"return new ResultSet(results);})()"},a.prototype.forEach=function(e){for(var t=0;t<this.blocks.length;t++)e(this.blocks[t].node,"blocks["+t+"].node",this)},a.prototype.map=function(e){for(var t=[],r=0;r<this.blocks.length;r++){var n=this.blocks[r],i=this._ifNode(e(n.node,"blocks["+r+"].node",this));t[r]={node:i,visible:n.visible}}return new a(t)},a.prototype.clone=function(){var e=this.blocks.map(function(e){return{node:e.node,visible:e.visible}});return new a(e)},a.prototype._toString=function(e){return this.blocks.map(function(t){return t.node.toString(e)+(t.visible?"":";")}).join("\n")},a.prototype._toTex=function(e){return this.blocks.map(function(t){return t.node.toTex(e)+(t.visible?"":";")}).join("\\;\\;\n")},a}t.name="BlockNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(e,t,r){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(!e||!e.isNode)throw new TypeError("Parameter condition must be a Node");if(!t||!t.isNode)throw new TypeError("Parameter trueExpr must be a Node");if(!r||!r.isNode)throw new TypeError("Parameter falseExpr must be a Node");this.condition=e,this.trueExpr=t,this.falseExpr=r}var s=n(r(271));return o.prototype=new s,o.prototype.type="ConditionalNode",o.prototype.isConditionalNode=!0,o.prototype._compile=function(e,t){return e.testCondition=function(t){if("number"==typeof t||"boolean"==typeof t||"string"==typeof t)return t?!0:!1;if(t){if(t.isBigNumber===!0)return t.isZero()?!1:!0;if(t.isComplex===!0)return t.re||t.im?!0:!1;if(t.isUnit===!0)return t.value?!0:!1}if(null===t||void 0===t)return!1;throw new TypeError('Unsupported type of condition "'+e.math["typeof"](t)+'"')},"testCondition("+this.condition._compile(e,t)+") ? ( "+this.trueExpr._compile(e,t)+") : ( "+this.falseExpr._compile(e,t)+")"},o.prototype.forEach=function(e){e(this.condition,"condition",this),e(this.trueExpr,"trueExpr",this),e(this.falseExpr,"falseExpr",this)},o.prototype.map=function(e){return new o(this._ifNode(e(this.condition,"condition",this)),this._ifNode(e(this.trueExpr,"trueExpr",this)),this._ifNode(e(this.falseExpr,"falseExpr",this)))},o.prototype.clone=function(){return new o(this.condition,this.trueExpr,this.falseExpr)},o.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=i.getPrecedence(this,t),n=this.condition.toString(e),a=i.getPrecedence(this.condition,t);("all"===t||"OperatorNode"===this.condition.type||null!==a&&r>=a)&&(n="("+n+")");var o=this.trueExpr.toString(e),s=i.getPrecedence(this.trueExpr,t);("all"===t||"OperatorNode"===this.trueExpr.type||null!==s&&r>=s)&&(o="("+o+")");var u=this.falseExpr.toString(e),c=i.getPrecedence(this.falseExpr,t);return("all"===t||"OperatorNode"===this.falseExpr.type||null!==c&&r>=c)&&(u="("+u+")"),n+" ? "+o+" : "+u},o.prototype._toTex=function(e){return"\\begin{cases} {"+this.trueExpr.toTex(e)+"}, &\\quad{\\text{if }\\;"+this.condition.toTex(e)+"}\\\\{"+this.falseExpr.toTex(e)+"}, &\\quad{\\text{otherwise}}\\end{cases}"},o}var i=(r(29),r(274));t.name="ConditionalNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(e,t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(t){if("string"!=typeof t)throw new TypeError('String expected for parameter "valueType"');if("string"!=typeof e)throw new TypeError('String expected for parameter "value"');this.value=e,this.valueType=t}else this.value=e+"",this.valueType=i(e);if(!u[this.valueType])throw new TypeError('Unsupported type of value "'+this.valueType+'"')}var s=n(r(271)),u={number:!0,string:!0,"boolean":!0,undefined:!0,"null":!0};return o.prototype=new s,o.prototype.type="ConstantNode",o.prototype.isConstantNode=!0,o.prototype._compile=function(e,t){switch(this.valueType){case"number":var r=e.math.config().number;return"bignumber"===r?'math.bignumber("'+this.value+'")':"fraction"===r?'math.fraction("'+this.value+'")':this.value.replace(/^(0*)[0-9]/,function(e,t){return e.substring(t.length)});case"string":return'"'+this.value+'"';case"boolean":return this.value;case"undefined":return this.value;case"null":return this.value;default:throw new TypeError('Unsupported type of constant "'+this.valueType+'"')}},o.prototype.forEach=function(e){},o.prototype.map=function(e){return this.clone()},o.prototype.clone=function(){return new o(this.value,this.valueType)},o.prototype._toString=function(e){switch(this.valueType){case"string":return'"'+this.value+'"';default:return this.value}},o.prototype._toTex=function(e){var t,r=this.value;switch(this.valueType){case"string":return'\\mathtt{"'+r+'"}';case"number":return t=r.toLowerCase().indexOf("e"),-1!==t?r.substring(0,t)+"\\cdot10^{"+r.substring(t+1)+"}":r;default:return r}},o}var i=r(40).type;t.name="ConstantNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e){return"string"==typeof e}function i(e,t,i,u){function c(e,t,r){if(!(this instanceof c))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('String expected for parameter "name"');if(!Array.isArray(t)||!t.every(n))throw new TypeError('Array containing strings expected for parameter "params"');if(!r||!r.isNode)throw new TypeError('Node expected for parameter "expr"');if(e in a)throw new Error('Illegal function name, "'+e+'" is a reserved keyword');this.name=e,this.params=t,this.expr=r}function f(e,t){var r=s.getPrecedence(e,t),n=s.getPrecedence(e.expr,t);return"all"===t||null!==n&&r>=n}var l=i(r(271));return c.prototype=new l,c.prototype.type="FunctionAssignmentNode",c.prototype.isFunctionAssignmentNode=!0,c.prototype._compile=function(e,t){var r=Object.create(t);this.params.forEach(function(e){r[e]=!0});var n=this.expr._compile(e,r);return'scope["'+this.name+'"] =   (function () {    var fn = function '+this.name+"("+this.params.join(",")+") {      if (arguments.length != "+this.params.length+') {        throw new SyntaxError("Wrong number of arguments in function '+this.name+' (" + arguments.length + " provided, '+this.params.length+' expected)");      }      return '+n+'    };    fn.syntax = "'+this.name+"("+this.params.join(", ")+')";    return fn;  })()'},c.prototype.forEach=function(e){e(this.expr,"expr",this)},c.prototype.map=function(e){var t=this._ifNode(e(this.expr,"expr",this));return new c(this.name,this.params.slice(0),t)},c.prototype.clone=function(){return new c(this.name,this.params.slice(0),this.expr)},c.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toString(e);return f(this,t)&&(r="("+r+")"),"function "+this.name+"("+this.params.join(", ")+") = "+r},c.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toTex(e);return f(this,t)&&(r="\\left("+r+"\\right)"),"\\mathrm{"+this.name+"}\\left("+this.params.map(o.toSymbol).join(",")+"\\right):="+r},c}var a=r(272),o=r(29),s=r(274);t.name="FunctionAssignmentNode",t.path="expression.node",t.factory=i},function(e,t,r){"use strict";function n(e,t,n,i){function a(e,t){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(!e||!e.isNode)throw new TypeError('Node expected for parameter "object"');if(!c(t)||!t.every(function(e){return e&&e.isNode}))throw new TypeError('Array containing Nodes expected for parameter "ranges"');this.object=e,this.ranges=t}function o(e){switch(e.object.type){case"ArrayNode":case"ConstantNode":case"SymbolNode":case"ParenthesisNode":return!1;default:return!0}}var s=n(r(271)),u=(n(r(280)),n(r(281)),n(r(65))),c=Array.isArray;return a.prototype=new s,a.prototype.type="IndexNode",a.prototype.isIndexNode=!0,a.prototype._compile=function(e,t){return this.compileSubset(e,t)},a.prototype.compileSubset=function(e,t,r){function n(e){return e&&e.isSymbolNode&&"end"==e.name}var i=!1,a=this.ranges.map(function(e){var t=e.filter(n).length>0;return i=t?t:i,t});e.range=function(e,t,r){return new u(e&&e.isBigNumber===!0?e.toNumber():e,t&&t.isBigNumber===!0?t.toNumber():t,r&&r.isBigNumber===!0?r.toNumber():r);
};var o=Object.create(t),s=this.ranges.map(function(t,r){var n=a[r];return t&&t.isRangeNode?n?(o.end=!0,"(function () {  var end = size["+r+"];  return range(    "+t.start._compile(e,o)+",     "+t.end._compile(e,o)+",     "+(t.step?t.step._compile(e,o):"1")+"  );})()"):"range("+t.start._compile(e,o)+", "+t.end._compile(e,o)+", "+(t.step?t.step._compile(e,o):"1")+")":n?(o.end=!0,"(function () {  var end = size["+r+"];  return "+t._compile(e,o)+";})()"):t._compile(e,o)});return i?"(function () {  var obj = "+this.object._compile(e,o)+";  var size = math.size(obj).valueOf();  return math.subset(    obj,     math.index("+s.join(", ")+")    "+(r?", "+r:"")+"  );})()":"math.subset("+this.object._compile(e,o)+",math.index("+s.join(", ")+")"+(r?", "+r:"")+")"},a.prototype.forEach=function(e){e(this.object,"object",this);for(var t=0;t<this.ranges.length;t++)e(this.ranges[t],"ranges["+t+"]",this)},a.prototype.map=function(e){for(var t=this._ifNode(e(this.object,"object",this)),r=[],n=0;n<this.ranges.length;n++)r[n]=this._ifNode(e(this.ranges[n],"ranges["+n+"]",this));return new a(t,r)},a.prototype.objectName=function(){return this.object.name},a.prototype.clone=function(){return new a(this.object,this.ranges.slice(0))},a.prototype._toString=function(e){var t=this.object.toString(e);return o(this)&&(t="("+t+"("),t+"["+this.ranges.join(", ")+"]"},a.prototype._toTex=function(e){var t=this.object.toTex(e);o(this)&&(t="\\left("+t+"\\right)");var r=this.ranges.map(function(t){return t.toTex(e)});return t+"_{"+r.join(",")+"}"},a}t.name="IndexNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(e,t,r){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(!e||!e.isNode)throw new TypeError("Node expected");if(!t||!t.isNode)throw new TypeError("Node expected");if(r&&(!r||!r.isNode))throw new TypeError("Node expected");if(arguments.length>3)throw new Error("Too many arguments");this.start=e,this.end=t,this.step=r||null}function s(e,t){var r=i.getPrecedence(e,t),n={},a=i.getPrecedence(e.start,t);if(n.start=null!==a&&r>=a||"all"===t,e.step){var o=i.getPrecedence(e.step,t);n.step=null!==o&&r>=o||"all"===t}var s=i.getPrecedence(e.end,t);return n.end=null!==s&&r>=s||"all"===t,n}var u=n(r(271));return o.prototype=new u,o.prototype.type="RangeNode",o.prototype.isRangeNode=!0,o.prototype._compile=function(e,t){return"math.range("+this.start._compile(e,t)+", "+this.end._compile(e,t)+(this.step?", "+this.step._compile(e,t):"")+")"},o.prototype.forEach=function(e){e(this.start,"start",this),e(this.end,"end",this),this.step&&e(this.step,"step",this)},o.prototype.map=function(e){return new o(this._ifNode(e(this.start,"start",this)),this._ifNode(e(this.end,"end",this)),this.step&&this._ifNode(e(this.step,"step",this)))},o.prototype.clone=function(){return new o(this.start,this.end,this.step&&this.step)},o.prototype._toString=function(e){var t,r=e&&e.parenthesis?e.parenthesis:"keep",n=s(this,r),i=this.start.toString(e);if(n.start&&(i="("+i+")"),t=i,this.step){var a=this.step.toString(e);n.step&&(a="("+a+")"),t+=":"+a}var o=this.end.toString(e);return n.end&&(o="("+o+")"),t+=":"+o},o.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=s(this,t),n=this.start.toTex(e);if(r.start&&(n="\\left("+n+"\\right)"),this.step){var i=this.step.toTex(e);r.step&&(i="\\left("+i+"\\right)"),n+=":"+i}var a=this.end.toTex(e);return r.end&&(a="\\left("+a+"\\right)"),n+=":"+a},o}var i=r(274);t.name="RangeNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a,o){function s(e){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('String expected for parameter "name"');this.name=e}function u(e){throw new Error("Undefined symbol "+e)}var c=n(r(271)),f=n(r(73));return s.prototype=new c,s.prototype.type="SymbolNode",s.prototype.isSymbolNode=!0,s.prototype._compile=function(e,t){return e.undef=u,e.Unit=f,t[this.name]?this.name:this.name in e.math?'("'+this.name+'" in scope ? scope["'+this.name+'"] : math["'+this.name+'"])':'("'+this.name+'" in scope ? scope["'+this.name+'"] : '+(f.isValuelessUnit(this.name)?'new Unit(null, "'+this.name+'")':'undef("'+this.name+'")')+")"},s.prototype.forEach=function(e){},s.prototype.map=function(e){return this.clone()},s.prototype.clone=function(){return new s(this.name)},s.prototype._toString=function(e){return this.name},s.prototype._toTex=function(e){var t=!1;"undefined"==typeof o[this.name]&&f.isValuelessUnit(this.name)&&(t=!0);var r=i.toSymbol(this.name,t);return"\\"===r[0]?r:" "+r},s}var i=r(29);t.name="SymbolNode",t.path="expression.node",t.math=!0,t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o,s){function u(e,t,r){if(!(this instanceof u))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('string expected for parameter "op"');if("string"!=typeof t)throw new TypeError('string expected for parameter "fn"');if(!Array.isArray(r)||!r.every(function(e){return e&&e.isNode}))throw new TypeError('Array containing Nodes expected for parameter "args"');this.op=e,this.fn=t,this.args=r||[]}function c(e,t,r,n){var i=a.getPrecedence(e,t),o=a.getAssociativity(e,t);if("all"===t||r.length>2){var s=[];return r.forEach(function(e){switch(e.getContent().type){case"ArrayNode":case"ConstantNode":case"SymbolNode":case"ParenthesisNode":s.push(!1);break;default:s.push(!0)}}),s}switch(r.length){case 0:return[];case 1:var u=a.getPrecedence(r[0],t);if(n&&null!==u){var c,f;if("keep"===t?(c=r[0].getIdentifier(),f=e.getIdentifier()):(c=r[0].getContent().getIdentifier(),f=e.getContent().getIdentifier()),a.properties[i][f].latexLeftParens===!1)return[!1];if(a.properties[u][c].latexParens===!1)return[!1]}return null===u?[!1]:i>=u?[!0]:[!1];case 2:var l,p=a.getPrecedence(r[0],t),m=a.isAssociativeWith(e,r[0],t);l=null===p?!1:p!==i||"right"!==o||m?i>p?!0:!1:!0;var h,g=a.getPrecedence(r[1],t),v=a.isAssociativeWith(e,r[1],t);if(h=null===g?!1:g!==i||"left"!==o||v?i>g?!0:!1:!0,n){var f,d,y;"keep"===t?(f=e.getIdentifier(),d=e.args[0].getIdentifier(),y=e.args[1].getIdentifier()):(f=e.getContent().getIdentifier(),d=e.args[0].getContent().getIdentifier(),y=e.args[1].getContent().getIdentifier()),null!==p&&(a.properties[i][f].latexLeftParens===!1&&(l=!1),a.properties[p][d].latexParens===!1&&(l=!1)),null!==g&&(a.properties[i][f].latexRightParens===!1&&(h=!1),a.properties[g][y].latexParens===!1&&(h=!1))}return[l,h]}}var f=n(r(271));n(r(277)),n(r(281)),n(r(283));return u.prototype=new f,u.prototype.type="OperatorNode",u.prototype.isOperatorNode=!0,u.prototype._compile=function(e,t){if(!e.math[this.fn])throw new Error("Function "+this.fn+' missing in provided namespace "math"');var r=this.args.map(function(r){return r._compile(e,t)});return"math."+this.fn+"("+r.join(", ")+")"},u.prototype.forEach=function(e){for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)},u.prototype.map=function(e){for(var t=[],r=0;r<this.args.length;r++)t[r]=this._ifNode(e(this.args[r],"args["+r+"]",this));return new u(this.op,this.fn,t)},u.prototype.clone=function(){return new u(this.op,this.fn,this.args.slice(0))},u.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.args,n=c(this,t,r,!1);switch(r.length){case 1:var i=a.getAssociativity(this,t),o=r[0].toString(e);return n[0]&&(o="("+o+")"),"right"===i?this.op+o:"left"===i?o+this.op:o+this.op;case 2:var s=r[0].toString(e),u=r[1].toString(e);return n[0]&&(s="("+s+")"),n[1]&&(u="("+u+")"),s+" "+this.op+" "+u;default:return this.fn+"("+this.args.join(", ")+")"}},u.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.args,n=c(this,t,r,!0),o=i.operators[this.fn];switch(o="undefined"==typeof o?this.op:o,r.length){case 1:var s=a.getAssociativity(this,t),u=r[0].toTex(e);return n[0]&&(u="\\left("+u+"\\right)"),"right"===s?o+u:"left"===s?u+o:u+o;case 2:var f=r[0],l=f.toTex(e);n[0]&&(l="\\left("+l+"\\right)");var p=r[1],m=p.toTex(e);n[1]&&(m="\\left("+m+"\\right)");var h;switch(h="keep"===t?f.getIdentifier():f.getContent().getIdentifier(),this.getIdentifier()){case"OperatorNode:divide":return o+"{"+l+"}{"+m+"}";case"OperatorNode:pow":switch(l="{"+l+"}",m="{"+m+"}",h){case"ConditionalNode":case"OperatorNode:divide":l="\\left("+l+"\\right)"}}return l+o+m;default:return"\\mathrm{"+this.fn+"}\\left("+r.map(function(t){return t.toTex(e)}).join(",")+"\\right)"}},u.prototype.getIdentifier=function(){return this.type+":"+this.fn},u}var i=r(29),a=r(274);t.name="OperatorNode",t.path="expression.node",t.math=!0,t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a,o){function s(e,t){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('string expected for parameter "name"');if(!Array.isArray(t)||!t.every(function(e){return e&&e.isNode}))throw new TypeError('Array containing Nodes expected for parameter "args"');this.name=e,this.args=t||[]}function u(e,t,r){for(var n,i="",a=new RegExp("\\$(?:\\{([a-z_][a-z_0-9]*)(?:\\[([0-9]+)\\])?\\}|\\$)","ig"),o=0;null!==(n=a.exec(e));)if(i+=e.substring(o,n.index),o=n.index,"$$"===n[0])i+="$",o++;else{o+=n[0].length;var s=t[n[1]];if(!s)throw new ReferenceError("Template: Property "+n[1]+" does not exist.");if(void 0===n[2])switch(typeof s){case"string":i+=s;break;case"object":if(s.isNode)i+=s.toTex(r);else{if(!Array.isArray(s))throw new TypeError("Template: "+n[1]+" has to be a Node, String or array of Nodes");i+=s.map(function(e,t){if(e&&e.isNode)return e.toTex(r);throw new TypeError("Template: "+n[1]+"["+t+"] is not a Node.")}).join(",")}break;default:throw new TypeError("Template: "+n[1]+" has to be a Node, String or array of Nodes")}else{if(!s[n[2]]||!s[n[2]].isNode)throw new TypeError("Template: "+n[1]+"["+n[2]+"] is not a Node.");i+=s[n[2]].toTex(r)}}return i+=e.slice(o)}var c=n(r(271)),f=n(r(281));s.prototype=new c,s.prototype.type="FunctionNode",s.prototype.isFunctionNode=!0,s.prototype._compile=function(e,t){var r=e.math[this.name],n="function"==typeof r&&1==r.rawArgs,i=this.args.map(function(r){return r._compile(e,t)});if(n){var a,o=0;do a="p"+o,o++;while(a in e);return e[a]=this.args,'("'+this.name+'" in scope ? scope["'+this.name+'"]('+i.join(", ")+') : math["'+this.name+'"]('+a+", math, scope))"}var s=new f(this.name);return s._compile(e,t)+"("+i.join(", ")+")"},s.prototype.forEach=function(e){for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)},s.prototype.map=function(e){for(var t=[],r=0;r<this.args.length;r++)t[r]=this._ifNode(e(this.args[r],"args["+r+"]",this));return new s(this.name,t)},s.prototype.clone=function(){return new s(this.name,this.args.slice(0))};var l=s.prototype.toString;s.prototype.toString=function(e){var t;return e&&"object"==typeof e.handler&&e.handler.hasOwnProperty(this.name)&&(t=e.handler[this.name](this,e)),"undefined"!=typeof t?t:l.call(this,e)},s.prototype._toString=function(e){return this.name+"("+this.args.join(", ")+")"};var p=s.prototype.toTex;return s.prototype.toTex=function(e){var t;return e&&"object"==typeof e.handler&&e.handler.hasOwnProperty(this.name)&&(t=e.handler[this.name](this,e)),"undefined"!=typeof t?t:p.call(this,e)},s.prototype._toTex=function(e){var t,r=(e&&e.parenthesis?e.parenthesis:"keep",this.args.map(function(t){return t.toTex(e)}));!o[this.name]||"function"!=typeof o[this.name].toTex&&"object"!=typeof o[this.name].toTex&&"string"!=typeof o[this.name].toTex||(t=o[this.name].toTex);var n;switch(typeof t){case"function":n=t(this,e);break;case"string":n=u(t,this,e);break;case"object":switch(typeof t[r.length]){case"function":n=t[r.length](this,e);break;case"string":n=u(t[r.length],this,e)}}return"undefined"!=typeof n?n:u(i.defaultTemplate,this,e)},s.prototype.getIdentifier=function(){return this.type+":"+this.name},s}var i=r(29);t.name="FunctionNode",t.path="expression.node",t.math=!0,t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function a(e){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(!e||!e.isNode)throw new TypeError('Node expected for parameter "content"');this.content=e}var o=n(r(271));return a.prototype=new o,a.prototype.type="ParenthesisNode",a.prototype.isParenthesisNode=!0,a.prototype._compile=function(e,t){return this.content._compile(e,t)},a.prototype.getContent=function(){return this.content.getContent()},a.prototype.forEach=function(e){e(this.content,"content",this)},a.prototype.map=function(e){var t=e(this.content,"content",this);return new a(t)},a.prototype.clone=function(){return new a(this.content)},a.prototype._toString=function(e){return!e||e&&"keep"===e.parenthesis?"("+this.content.toString(e)+")":this.content.toString(e)},a.prototype._toTex=function(e){return!e||e&&"keep"===e.parenthesis?"\\left("+this.content.toTex(e)+"\\right)":this.content.toTex(e)},a}t.name="ParenthesisNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function a(e,t){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(!e||!e.isIndexNode)throw new TypeError('Expected IndexNode for parameter "index"');if(!t||!t.isNode)throw new TypeError('Expected Node for parameter "expr"');this.index=e,this.expr=t}var o=n(r(271));n(r(279));return a.prototype=new o,a.prototype.type="UpdateNode",a.prototype.isUpdateNode=!0,a.prototype._compile=function(e,t){var r=t[this.index.objectName()]?this.name+" = ":'scope["'+this.index.objectName()+'"]',n=this.index.compileSubset(e,t,this.expr._compile(e,t));return r+" = "+n},a.prototype.forEach=function(e){e(this.index,"index",this),e(this.expr,"expr",this)},a.prototype.map=function(e){return new a(this._ifNode(e(this.index,"index",this)),this._ifNode(e(this.expr,"expr",this)))},a.prototype.clone=function(){return new a(this.index,this.expr)},a.prototype._toString=function(e){var t=this.expr.toString(e);return e&&"all"===e.parenthesis&&(t="("+t+")"),this.index.toString(e)+" = "+t},a.prototype._toTex=function(e){var t=this.expr.toTex(e);return e&&"all"===e.parenthesis&&(t="\\left("+t+"\\right)"),this.index.toTex(e)+":="+t},a}t.name="UpdateNode",t.path="expression.node",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(269));return a("compile",{string:function(e){var t={};return o(e).compile().eval(t)},"string, Object":function(e,t){return o(e).compile().eval(t)},"Array | Matrix":function(e){var t={};return i(e,function(e){return o(e).compile().eval(t)})},"Array | Matrix, Object":function(e,t){return i(e,function(e){return o(e).compile().eval(t)})}})}var i=r(19);t.name="eval",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i,a){var o=n(r(97));return i("help",{any:function(t){var r,n=t;if("string"!=typeof t)for(r in a)if(a.hasOwnProperty(r)&&t===a[r]){n=r;break}var i=o[n];if(!i)throw new Error('No documentation found on "'+n+'"');return new e.Help(i)}})}t.math=!0,t.name="help",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(269));return i("parse",{"string | Array | Matrix":a,"string | Array | Matrix, Object":a})}t.name="parse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i,a){var o=n(r(290));return i("parser",{"":function(){return new o(a)}})}t.name="parser",t.factory=n,t.math=!0},function(e,t,r){"use strict";function n(e,t,n,i,a){function o(){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");this.scope={}}var s=n(r(269));return o.prototype.type="Parser",o.prototype.isParser=!0,o.prototype.parse=function(e){throw new Error("Parser.parse is deprecated. Use math.parse instead.")},o.prototype.compile=function(e){throw new Error("Parser.compile is deprecated. Use math.compile instead.")},o.prototype.eval=function(e){return s(e).compile().eval(this.scope)},o.prototype.get=function(e){return this.scope[e]},o.prototype.set=function(e,t){return this.scope[e]=t},o.prototype.remove=function(e){delete this.scope[e]},o.prototype.clear=function(){for(var e in this.scope)this.scope.hasOwnProperty(e)&&delete this.scope[e]},o}t.name="Parser",t.path="expression",t.factory=n,t.math=!0},function(e,t,r){e.exports=[r(270),r(273),r(275),r(276),r(277),r(279),r(278),r(283),r(271),r(282),r(284),r(280),r(281),r(285)]},function(e,t,r){e.exports=[r(293),r(296),r(298),r(300),r(301),r(303),r(308),r(313),r(315),r(317)]},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(295));return a("concat",{"...any":function(e){var t=e.length-1,r=e[t];"number"==typeof r?e[t]=r-1:r&&r.isBigNumber===!0&&(e[t]=r.minus(1));try{return o.apply(null,e)}catch(n){throw i(n)}}})}var i=r(294).transform;t.name="concat",t.path="expression.transform",t.factory=n},function(e,t,r){var n=r(42);t.transform=function(e){return e&&e.isIndexError?new n(e.index+1,e.min+1,e.max+1):e}},function(e,t,r){"use strict";function n(e,t,n,f){var l=n(r(50)),p=f("concat",{"...Array | Matrix | number | BigNumber":function(e){var t,r,n=e.length,f=-1,p=!1,m=[];for(t=0;n>t;t++){var h=e[t];if(h&&h.isMatrix===!0&&(p=!0),"number"==typeof h||h&&h.isBigNumber===!0){if(t!==n-1)throw new Error("Dimension must be specified as last argument");if(r=f,f=h.valueOf(),!o(f))throw new TypeError("Integer number expected for dimension");if(0>f)throw new u(f);if(t>0&&f>r)throw new u(f,r+1)}else{var g=a(h).valueOf(),v=s.size(g);if(m[t]=g,r=f,f=v.length-1,t>0&&f!=r)throw new c(r+1,f+1)}}if(0==m.length)throw new SyntaxError("At least one matrix expected");for(var d=m.shift();m.length;)d=i(d,m.shift(),f,0);return p?l(d):d},"...string":function(e){return e.join("")}});return p.toTex="\\mathrm{${name}}\\left(${args}\\right)",p}function i(e,t,r,n){if(r>n){if(e.length!=t.length)throw new c(e.length,t.length);for(var a=[],o=0;o<e.length;o++)a[o]=i(e[o],t[o],r,n+1);return a}return e.concat(t)}var a=r(3).clone,o=r(6).isInteger,s=r(39),u=r(42),c=r(41);t.name="concat",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function a(e,t,r){var n,i;if(e[0]&&(n=e[0].compile().eval(r)),e[1])if(e[1]&&e[1].isSymbolNode)i=e[1].compile().eval(r);else{var a=r||{},s=e[1].filter(function(e){return e&&e.isSymbolNode&&!(e.name in t)&&!(e.name in a)})[0],u=Object.create(a),c=e[1].compile();if(!s)throw new Error("No undefined variable found in filter equation");var f=s.name;i=function(e){return u[f]=e,c.eval(u)}}return o(n,i)}var o=n(r(297));n(r(281));return a.rawArgs=!0,a}t.name="filter",t.path="expression.transform",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var s=n(r(50)),u=o("filter",{"Array, function":i,"Array, RegExp":a,"Matrix, function":function(e,t){return s(i(e.toArray(),t))},"Matrix, RegExp":function(e,t){return s(a(e.toArray(),t))}});return u.toTex="\\mathrm{${name}}\\left(${args}\\right)",u}function i(e,t){if(1!==o(e).length)throw new Error("Only one dimensional matrices supported");return e.filter(function(e){return t(e)})}function a(e,t){if(1!==o(e).length)throw new Error("Only one dimensional matrices supported");return e.filter(function(e){return t.test(e)})}var o=r(39).size;t.name="filter",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){n(r(299));return i("forEach",{"Array | Matrix, function":function(e,t){var r=function(n,i){Array.isArray(n)?n.forEach(function(e,t){r(e,i.concat(t+1))}):t(n,i,e)};r(e.valueOf(),[])}})}t.name="forEach",t.path="expression.transform",t.factory=n},function(e,t){"use strict";function r(e,t,r,i){var a=i("forEach",{"Array, function":n,"Matrix, function":function(e,t){return e.forEach(t)}});return a.toTex="\\mathrm{${name}}\\left(${args}\\right)",a}function n(e,t){var r=function(n,i){Array.isArray(n)?n.forEach(function(e,t){r(e,i.concat(t))}):t(n,i,e)};r(e,[])}t.name="forEach",t.factory=r},function(e,t,r){"use strict";function n(e,t,n){n(r(66));return function(){for(var t=[],r=0,n=arguments.length;n>r;r++){var i=arguments[r];if(i&&i.isRange===!0)i.start--,i.end-=i.step>0?0:2;else if(i&&i.isSet===!0)i=i.map(function(e){return e-1});else if(i&&(i.isArray===!0||i.isMatrix))i=i.map(function(e){return e-1});else if("number"==typeof i)i--;else{if(!i||i.isBigNumber!==!0)throw new TypeError("Ranges must be a Number, Range, Array or Matrix");i=i.toNumber()-1}t[r]=i}var a=new e.Index;return e.Index.apply(a,t),a}}Array.isArray;t.name="index",t.path="expression.transform",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=(n(r(302)),n(r(50)));return a("max",{"Array, function":function(e,t){return i(e,t,e)},"Matrix, function":function(e,t){return o(i(e.valueOf(),t,e))}})}function i(e,t,r){function n(e,i){return Array.isArray(e)?e.map(function(e,t){return n(e,i.concat(t+1))}):t(e,i,r)}return n(e,[])}t.name="map",t.path="expression.transform",t.factory=n},function(e,t){"use strict";function r(e,t,r,i){var a=i("map",{"Array, function":n,"Matrix, function":function(e,t){return e.map(t)}});return a.toTex="\\mathrm{${name}}\\left(${args}\\right)",a}function n(e,t){var r=function(n,i){return Array.isArray(n)?n.map(function(e,t){return r(e,i.concat(t))}):t(n,i,e)};return r(e,[])}t.name="map",t.factory=r},function(e,t,r){"use strict";function n(e,t,n,o){var s=n(r(305));return o("max",{"...any":function(e){if(2==e.length&&a(e[0])){var t=e[1];"number"==typeof t?e[1]=t-1:t&&t.isBigNumber===!0&&(e[1]=t.minus(1))}try{return s.apply(null,e)}catch(r){throw i(r)}}})}var i=r(294).transform,a=r(304);t.name="max",t.path="expression.transform",t.factory=n},function(e,t){"use strict";e.exports=function(e){return Array.isArray(e)||e&&e.isMatrix===!0}},function(e,t,r){"use strict";function n(e,t,n,o){function s(e,t){return c(e,t)?e:t}function u(e){var t=void 0;if(i(e,function(e){(void 0===t||c(e,t))&&(t=e)}),void 0===t)throw new Error("Cannot calculate max of an empty array");return t}var c=n(r(62)),f=o("max",{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(e,t){return a(e,t.valueOf(),s)},"...":function(){return u(arguments)}});return f.toTex="\\max\\left(${args}\\right)",f}var i=r(306),a=r(307);t.name="max",t.factory=n},function(e,t){"use strict";e.exports=function r(e,t){e&&e.isMatrix===!0&&(e=e.valueOf());for(var n=0,i=e.length;i>n;n++){var a=e[n];Array.isArray(a)?r(a,t):t(a)}}},function(e,t,r){"use strict";function n(e,t,r){var a,o,s,u;if(0>=t){if(Array.isArray(e[0])){for(u=i(e),o=[],a=0;a<u.length;a++)o[a]=n(u[a],t-1,r);return o}for(s=e[0],a=1;a<e.length;a++)s=r(s,e[a]);return s}for(o=[],a=0;a<e.length;a++)o[a]=n(e[a],t-1,r);return o}function i(e){var t,r,n=e.length,i=e[0].length,a=[];for(r=0;i>r;r++){var o=[];for(t=0;n>t;t++)o.push(e[t][r]);a.push(o)}return a}var a=r(39).size,o=r(42);e.exports=function(e,t,r){var i=Array.isArray(e)?a(e):e.size();if(0>t)throw new o(t);if(t>=i.length)throw new o(t,i.length);return e&&e.isMatrix===!0?e.create(n(e.valueOf(),t,r)):n(e,t,r)}},function(e,t,r){"use strict";function n(e,t,n,o){var s=n(r(309));return o("mean",{"...any":function(e){if(2==e.length&&a(e[0])){var t=e[1];"number"==typeof t?e[1]=t-1:t&&t.isBigNumber===!0&&(e[1]=t.minus(1))}try{return s.apply(null,e)}catch(r){throw i(r)}}})}var i=r(294).transform,a=r(304);t.name="mean",t.path="expression.transform",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,s){function u(e,t){var r=o(e,t,f),n=Array.isArray(e)?i(e):e.size();return l(r,n[t])}function c(e){var t=0,r=0;if(a(e,function(e){t=f(t,e),r++}),0===r)throw new Error("Cannot calculate mean of an empty array");return l(t,r)}var f=n(r(49)),l=n(r(310)),p=s("mean",{"Array | Matrix":c,"Array | Matrix, number | BigNumber":u,"...":function(){return c(arguments)}});return p.toTex="\\mathrm{${name}}\\left(${args}\\right)",p}var i=r(39).size,a=r(306),o=r(307);t.name="mean",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(78)),s=n(r(83)),u=n(r(311)),c=n(r(50)),f=n(r(84)),l=n(r(56)),p=a("divide",i({"Array | Matrix, Array | Matrix":function(e,t){return s(e,u(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=f(e,t,o,!1);break;case"dense":r=l(e,t,o,!1)}return r},"Array, any":function(e,t){return l(c(e),t,o,!1).valueOf()},"any, Array | Matrix":function(e,t){return s(e,u(t))}},o.signatures));return p.toTex="\\frac{${args[0]}}{${args[1]}}",p}var i=r(3).extend;t.name="divide",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(e,t,r){var n,i,a,o,s;if(1==t){if(o=e[0][0],0==o)throw Error("Cannot calculate inverse, determinant is zero");return[[u(1,o)]]}if(2==t){var h=p(e);if(0==h)throw Error("Cannot calculate inverse, determinant is zero");return[[u(e[1][1],h),u(l(e[0][1]),h)],[u(l(e[1][0]),h),u(e[0][0],h)]]}var g=e.concat();for(n=0;t>n;n++)g[n]=g[n].concat();for(var v=m(t).valueOf(),d=0;r>d;d++){for(n=d;t>n&&0==g[n][d];)n++;if(n==t||0==g[n][d])throw Error("Cannot calculate inverse, determinant is zero");n!=d&&(s=g[d],g[d]=g[n],g[n]=s,s=v[d],v[d]=v[n],v[n]=s);var y=g[d],x=v[d];for(n=0;t>n;n++){var b=g[n],w=v[n];if(n!=d){if(0!=b[d]){for(a=u(l(b[d]),y[d]),i=d;r>i;i++)b[i]=c(b[i],f(a,y[i]));for(i=0;r>i;i++)w[i]=c(w[i],f(a,x[i]))}}else{for(a=y[d],i=d;r>i;i++)b[i]=u(b[i],a);for(i=0;r>i;i++)w[i]=u(w[i],a)}}}return v}var s=n(r(50)),u=n(r(78)),c=n(r(51)),f=n(r(83)),l=n(r(75)),p=n(r(312)),m=n(r(81)),h=a("inv",{"Array | Matrix":function(e){var t=e.isMatrix===!0?e.size():i.array.size(e);switch(t.length){case 1:if(1==t[0])return e.isMatrix===!0?s([u(1,e.valueOf()[0])]):[u(1,e[0])];throw new RangeError("Matrix must be square (size: "+i.string.format(t)+")");case 2:var r=t[0],n=t[1];if(r==n)return e.isMatrix===!0?s(o(e.valueOf(),r,n),e.storage()):o(e,r,n);throw new RangeError("Matrix must be square (size: "+i.string.format(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+i.string.format(t)+")")}},any:function(e){return u(1,e)}});return h.toTex="\\left(${args[0]}\\right)^{-1}",h}var i=r(38);t.name="inv",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function s(e,t,r){if(1==t)return a.clone(e[0][0]);if(2==t)return f(l(e[0][0],e[1][1]),l(e[1][0],e[0][1]));for(var n=function(e){var t,r,n=new Array(e.length),i=0;for(t=1;t<e.length;t++)i=c(i,e[t][t]);for(t=0;t<e.length;t++){for(n[t]=new Array(e.length),n[t][t]=p(i),r=0;t>r;r++)n[t][r]=0;for(r=t+1;r<e.length;r++)n[t][r]=e[t][r];t+1<e.length&&(i=f(i,e[t+1][t+1]))}return n},i=e,o=0;t-1>o;o++)i=l(n(i),e);return t%2==0?p(i[0][0]):i[0][0]}var u=n(r(50)),c=n(r(49)),f=n(r(74)),l=n(r(83)),p=n(r(75)),m=i("det",{any:function(e){return a.clone(e)},"Array | Matrix":function(e){var t;switch(e&&e.isMatrix===!0?t=e.size():Array.isArray(e)?(e=u(e),t=e.size()):t=[],t.length){case 0:return a.clone(e);case 1:if(1==t[0])return a.clone(e.valueOf()[0]);throw new RangeError("Matrix must be square (size: "+o.format(t)+")");case 2:var r=t[0],n=t[1];if(r==n)return s(e.clone().valueOf(),r,n);throw new RangeError("Matrix must be square (size: "+o.format(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+o.format(t)+")")}}});return m.toTex="\\det\\left(${args[0]}\\right)",m}var i=r(38),a=i.object,o=i.string;t.name="det",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var s=n(r(314));return o("min",{"...any":function(e){if(2==e.length&&a(e[0])){var t=e[1];"number"==typeof t?e[1]=t-1:t&&t.isBigNumber===!0&&(e[1]=t.minus(1))}try{return s.apply(null,e)}catch(r){throw i(r)}}})}var i=r(294).transform,a=r(304);t.name="min",t.path="expression.transform",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){function s(e,t){return c(e,t)?e:t}function u(e){var t=void 0;if(i(e,function(e){(void 0===t||c(e,t))&&(t=e)}),void 0===t)throw new Error("Cannot calculate min of an empty array");return t}var c=n(r(58)),f=o("min",{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(e,t){return a(e,t.valueOf(),s)},"...":function(){return u(arguments)}});return f.toTex="\\min\\left(${args}\\right)",f}var i=r(306),a=r(307);t.name="min",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(316));return i("range",{"...any":function(e){var t=e.length-1,r=e[t];return"boolean"!=typeof r&&e.push(!0),a.apply(null,e)}})}t.name="range",t.path="expression.transform",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function a(e){return"array"===t.matrix?e:p(e)}function o(r,n){var i=l(r);if(!i)throw new SyntaxError('String "'+r+'" is no valid range');var o;return"bignumber"===t.number?(o=n?f:c,a(o(new e.BigNumber(i.start),new e.BigNumber(i.end),new e.BigNumber(i.step)))):(o=n?u:s,a(o(i.start,i.end,i.step)))}function s(e,t,r){var n=[],i=e;if(r>0)for(;t>i;)n.push(i),i+=r;else if(0>r)for(;i>t;)n.push(i),i+=r;return n}function u(e,t,r){var n=[],i=e;if(r>0)for(;t>=i;)n.push(i),i+=r;else if(0>r)for(;i>=t;)n.push(i),i+=r;return n}function c(e,t,r){var n=[],i=e;if(r.gt(m))for(;i.lt(t);)n.push(i),i=i.plus(r);else if(r.lt(m))for(;i.gt(t);)n.push(i),i=i.plus(r);return n}function f(e,t,r){var n=[],i=e;if(r.gt(m))for(;i.lte(t);)n.push(i),i=i.plus(r);else if(r.lt(m))for(;i.gte(t);)n.push(i),i=i.plus(r);return n}function l(e){var t=e.split(":"),r=t.map(function(e){return Number(e)}),n=r.some(function(e){return isNaN(e)});if(n)return null;switch(r.length){case 2:return{start:r[0],end:r[1],step:1};case 3:return{start:r[0],end:r[2],step:r[1]};default:return null}}var p=n(r(50)),m=new e.BigNumber(0),h=new e.BigNumber(1),g=i("range",{string:o,"string, boolean":o,"number, number":function(e,t){return a(s(e,t,1))},"number, number, number":function(e,t,r){return a(s(e,t,r))},"number, number, boolean":function(e,t,r){return a(r?u(e,t,1):s(e,t,1))},"number, number, number, boolean":function(e,t,r,n){return a(n?u(e,t,r):s(e,t,r))},"BigNumber, BigNumber":function(e,t){return a(c(e,t,h))},"BigNumber, BigNumber, BigNumber":function(e,t,r){return a(c(e,t,r))},"BigNumber, BigNumber, boolean":function(e,t,r){return a(r?f(e,t,h):c(e,t,h))},"BigNumber, BigNumber, BigNumber, boolean":function(e,t,r,n){return a(n?f(e,t,r):c(e,t,r))}});return g.toTex="\\mathrm{${name}}\\left(${args}\\right)",g}t.name="range",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(318));return a("subset",{"...any":function(e){try{return o.apply(null,e)}catch(t){throw i(t)}}})}var i=r(294).transform;t.name="subset",t.path="expression.transform",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,s){function u(e,t){if(!t||t.isIndex!==!0)throw new TypeError("Index expected");if(1!=t.size().length)throw new o(t.size().length,1);var r=e.length;a(t.min()[0],r),a(t.max()[0],r);var n=t.dimension(0),i="";return n.forEach(function(t){i+=e.charAt(t)}),i}function c(e,t,r,n){if(!t||t.isIndex!==!0)throw new TypeError("Index expected");if(1!=t.size().length)throw new o(t.size().length,1);if(void 0!==n){if("string"!=typeof n||1!==n.length)throw new TypeError("Single character expected as defaultValue")}else n=" ";var i=t.dimension(0),s=i.size()[0];if(s!=r.length)throw new o(i.size()[0],r.length);var u=e.length;a(t.min()[0]),a(t.max()[0]);for(var c=[],f=0;u>f;f++)c[f]=e.charAt(f);if(i.forEach(function(e,t){c[e]=r.charAt(t[0])}),c.length>u)for(f=u-1,s=c.length;s>f;f++)c[f]||(c[f]=n);return c.join("")}var f=n(r(50)),l=s("subset",{"Array, Index":function(e,t){var r=f(e),n=r.subset(t);return n&&n.valueOf()},"Matrix, Index":function(e,t){return e.subset(t)},"string, Index":u,"Array, Index, any":function(e,t,r){return f(i(e)).subset(t,r,void 0).valueOf()},"Array, Index, any, any":function(e,t,r,n){return f(i(e)).subset(t,r,n).valueOf()},"Matrix, Index, any":function(e,t,r){return e.clone().subset(t,r)},"Matrix, Index, any, any":function(e,t,r,n){return e.clone().subset(t,r,n)},"string, Index, string":c,"string, Index, string, string":c});return l.toTex="\\mathrm{${name}}\\left(${args}\\right)",l}var i=r(3).clone,a=r(39).validateIndex,o=r(41);t.name="subset",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){function s(e){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new operator");if(!e)throw new Error('Argument "doc" missing');
this.doc=e}var u=n(r(289))();return s.prototype.type="Help",s.prototype.isHelp=!0,s.prototype.toString=function(){var e=this.doc||{},t="\n";if(e.name&&(t+="Name: "+e.name+"\n\n"),e.category&&(t+="Category: "+e.category+"\n\n"),e.description&&(t+="Description:\n    "+e.description+"\n\n"),e.syntax&&(t+="Syntax:\n    "+e.syntax.join("\n    ")+"\n\n"),e.examples){t+="Examples:\n";for(var r=0;r<e.examples.length;r++){var n=e.examples[r];t+="    "+n+"\n";var i;try{i=u.eval(n)}catch(o){i=o}i&&!i.isHelp&&(t+="        "+a.format(i,{precision:14})+"\n")}t+="\n"}return e.seealso&&(t+="See also: "+e.seealso.join(", ")+"\n"),t},s.prototype.toJSON=function(){var e=i.clone(this.doc);return e.mathjs="Help",e},s.fromJSON=function(e){var t={};for(var r in e)"mathjs"!==r&&(t[r]=e[r]);return new s(t)},s.prototype.valueOf=s.prototype.toString,s}var i=r(3),a=r(23);t.name="Help",t.path="type",t.factory=n},function(e,t,r){e.exports=[r(321),r(348),r(378),r(394),r(403),r(408),r(411),r(417),r(426),r(435),r(440),r(448),r(489),r(491)]},function(e,t,r){e.exports=[r(322),r(323),r(343),r(345),r(347)]},function(e,t,r){"use strict";function n(e,t,n,i){var o=n(r(50)),s=n(r(85)),u=n(r(51)),c=n(r(78)),f=n(r(77)),l=n(r(74)),p=n(r(62)),m=n(r(47)),h=n(r(75)),g=e.SparseMatrix,v=e.DenseMatrix,d=e.Spa,y=i("lup",{DenseMatrix:function(e){return x(e)},SparseMatrix:function(e){return b(e)},Array:function(e){var t=o(e),r=x(t);return{L:r.L.valueOf(),U:r.U.valueOf(),p:r.p}}}),x=function(e){var t,r,n,i=e._size[0],o=e._size[1],h=Math.min(i,o),g=a.clone(e._data),d=[],y=[i,h],x=[],b=[h,o],w=[];for(t=0;i>t;t++)w[t]=t;for(r=0;o>r;r++){if(r>0)for(t=0;i>t;t++){var N=Math.min(t,r),E=0;for(n=0;N>n;n++)E=u(E,f(g[t][n],g[n][r]));g[t][r]=l(g[t][r],E)}var M=r,A=0,_=0;for(t=r;i>t;t++){var O=g[t][r],T=s(O);p(T,A)&&(M=t,A=T,_=O)}if(r!==M&&(w[r]=[w[M],w[M]=w[r]][0],v._swapRows(r,M,g)),i>r)for(t=r+1;i>t;t++){var C=g[t][r];m(C,0)||(g[t][r]=c(g[t][r],_))}}for(r=0;o>r;r++)for(t=0;i>t;t++)0===r&&(o>t&&(x[t]=[]),d[t]=[]),r>t?(o>t&&(x[t][r]=g[t][r]),i>r&&(d[t][r]=0)):t!==r?(o>t&&(x[t][r]=0),i>r&&(d[t][r]=g[t][r])):(o>t&&(x[t][r]=g[t][r]),i>r&&(d[t][r]=1));var S=new v({data:d,size:y}),z=new v({data:x,size:b}),B=[];for(t=0,h=w.length;h>t;t++)B[w[t]]=t;return{L:S,U:z,p:B,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}},b=function(e){var t,r,n,i=e._size[0],a=e._size[1],o=Math.min(i,a),u=e._values,l=e._index,v=e._ptr,y=[],x=[],b=[],w=[i,o],N=[],E=[],M=[],A=[o,a],_=[],O=[];for(t=0;i>t;t++)_[t]=t,O[t]=t;var T=function(e,t){var r=O[e],n=O[t];_[r]=t,_[n]=e,O[e]=n,O[t]=r};for(r=0;a>r;r++){var C=new d;i>r&&(b.push(y.length),y.push(1),x.push(r)),M.push(N.length);var S=v[r],z=v[r+1];for(n=S;z>n;n++)t=l[n],C.set(_[t],u[n]);r>0&&C.forEach(0,r-1,function(e,t){g._forEachRow(e,y,x,b,function(r,n){r>e&&C.accumulate(r,h(f(n,t)))})});var B=r,k=C.get(r),I=s(k);C.forEach(r+1,i-1,function(e,t){var r=s(t);p(r,I)&&(B=e,I=r,k=t)}),r!==B&&(g._swapRows(r,B,w[1],y,x,b),g._swapRows(r,B,A[1],N,E,M),C.swap(r,B),T(r,B)),C.forEach(0,i-1,function(e,t){r>=e?(N.push(t),E.push(e)):(t=c(t,k),m(t,0)||(y.push(t),x.push(e)))})}return M.push(N.length),b.push(y.length),{L:new g({values:y,index:x,ptr:b,size:w}),U:new g({values:N,index:E,ptr:M,size:A}),p:_,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}};return y}var i=r(38),a=i.object;t.name="lup",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(324)),s=n(r(335)),u=i("slu",{"SparseMatrix, number, number":function(e,t,r){if(!o(t)||0>t||t>3)throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]");if(0>r||r>1)throw new Error("Partial pivoting threshold must be a number from 0 to 1");var n=a(t,e,!1),i=s(e,n,r);return{L:i.L,U:i.U,p:i.pinv,q:n.q,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\np: "+this.p.toString()+(this.q?"\nq: "+this.q.toString():"")+"\n"}}}});return u}var i=r(38),a=i.number,o=a.isInteger;t.name="slu",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(325)),a=n(r(330)),o=n(r(331)),s=n(r(332)),u=n(r(333)),c=function(e,t,r){var n,c=t._ptr,l=t._size,p=l[1],m={};if(m.q=i(e,t),e&&!m.q)return null;if(r){var h=e?a(t,null,m.q,0):t;m.parent=o(h,1);var g=s(m.parent,p);if(m.cp=u(h,m.parent,g,1),h&&m.parent&&m.cp&&f(h,m))for(m.unz=0,n=0;p>n;n++)m.unz+=m.cp[n]}else m.unz=4*c[p]+p,m.lnz=m.unz;return m},f=function(e,t){var r=e._ptr,n=e._index,i=e._size,a=i[0],o=i[1];t.pinv=[],t.leftmost=[];var s,u,c,f,l,p=t.parent,m=t.pinv,h=t.leftmost,g=[],v=0,d=a,y=a+o,x=a+2*o;for(u=0;o>u;u++)g[d+u]=-1,g[y+u]=-1,g[x+u]=0;for(s=0;a>s;s++)h[s]=-1;for(u=o-1;u>=0;u--)for(f=r[u],l=r[u+1],c=f;l>c;c++)h[n[c]]=u;for(s=a-1;s>=0;s--)m[s]=-1,u=h[s],-1!=u&&(0===g[x+u]++&&(g[y+u]=s),g[v+s]=g[d+u],g[d+u]=s);for(t.lnz=0,t.m2=a,u=0;o>u;u++)if(s=g[d+u],t.lnz++,0>s&&(s=t.m2++),m[s]=u,!(--x[u]<=0)){t.lnz+=g[x+u];var b=p[u];-1!=b&&(0===g[x+b]&&(g[y+b]=g[y+u]),g[v+g[y+u]]=g[d+b],g[d+b]=g[v+s],g[x+b]+=g[x+u])}for(s=0;a>s;s++)m[s]<0&&(m[s]=u++);return!0};return c}t.name="cs_sqr",t.path="sparse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(326)),a=n(r(327)),o=n(r(328)),s=n(r(49)),u=n(r(83)),c=n(r(329)),f=function(e,t){if(!t||0>=e||e>3)return null;var r=t._size,n=r[0],s=r[1],u=0,c=Math.max(16,10*Math.sqrt(s));c=Math.min(s-2,c);var f=l(e,t,n,s,c);a(f,g,null);for(var v,d,y,x,b,w,N,E,M,A,_,O,T,C,S,z,B=f._index,k=f._ptr,I=k[s],R=[],P=[],U=0,q=s+1,L=2*(s+1),F=3*(s+1),D=4*(s+1),$=5*(s+1),j=6*(s+1),G=7*(s+1),H=R,V=p(s,k,P,U,F,H,L,G,q,j,D,$),Z=m(s,k,P,$,D,j,c,q,F,H,L),Y=0;s>Z;){for(y=-1;s>Y&&-1==(y=P[F+Y]);Y++);-1!=P[L+y]&&(H[P[L+y]]=-1),P[F+Y]=P[L+y];var W=P[D+y],X=P[q+y];Z+=X;var J=0;P[q+y]=-X;var Q=k[y],K=0===W?Q:I,ee=K;for(x=1;W+1>=x;x++){for(x>W?(w=y,N=Q,E=P[U+y]-W):(w=B[Q++],N=k[w],E=P[U+w]),b=1;E>=b;b++)v=B[N++],(M=P[q+v])<=0||(J+=M,P[q+v]=-M,B[ee++]=v,-1!=P[L+v]&&(H[P[L+v]]=H[v]),-1!=H[v]?P[L+H[v]]=P[L+v]:P[F+P[$+v]]=P[L+v]);w!=y&&(k[w]=i(y),P[j+w]=0)}for(0!==W&&(I=ee),P[$+y]=J,k[y]=K,P[U+y]=ee-K,P[D+y]=-2,V=h(V,u,P,j,s),A=K;ee>A;A++)if(v=B[A],!((_=P[D+v])<=0)){M=-P[q+v];var te=V-M;for(Q=k[v],O=k[v]+_-1;O>=Q;Q++)w=B[Q],P[j+w]>=V?P[j+w]-=M:0!==P[j+w]&&(P[j+w]=P[$+w]+te)}for(A=K;ee>A;A++){for(v=B[A],O=k[v],T=O+P[D+v]-1,C=O,S=0,z=0,Q=O;T>=Q;Q++)if(w=B[Q],0!==P[j+w]){var re=P[j+w]-V;re>0?(z+=re,B[C++]=w,S+=w):(k[w]=i(y),P[j+w]=0)}P[D+v]=C-O+1;var ne=C,ie=O+P[U+v];for(Q=T+1;ie>Q;Q++){d=B[Q];var ae=P[q+d];0>=ae||(z+=ae,B[C++]=d,S+=d)}0===z?(k[v]=i(y),M=-P[q+v],J-=M,X+=M,Z+=M,P[q+v]=0,P[D+v]=-1):(P[$+v]=Math.min(P[$+v],z),B[C]=B[ne],B[ne]=B[O],B[O]=y,P[U+v]=C-O+1,S=(0>S?-S:S)%s,P[L+v]=P[G+S],P[G+S]=v,H[v]=S)}for(P[$+y]=J,u=Math.max(u,J),V=h(V+u,u,P,j,s),A=K;ee>A;A++)if(v=B[A],!(P[q+v]>=0))for(S=H[v],v=P[G+S],P[G+S]=-1;-1!=v&&-1!=P[L+v];v=P[L+v],V++){for(E=P[U+v],_=P[D+v],Q=k[v]+1;Q<=k[v]+E-1;Q++)P[j+B[Q]]=V;var oe=v;for(d=P[L+v];-1!=d;){var se=P[U+d]===E&&P[D+d]===_;for(Q=k[d]+1;se&&Q<=k[d]+E-1;Q++)P[j+B[Q]]!=V&&(se=0);se?(k[d]=i(v),P[q+v]+=P[q+d],P[q+d]=0,P[D+d]=-1,d=P[L+d],P[L+oe]=d):(oe=d,d=P[L+d])}}for(Q=K,A=K;ee>A;A++)v=B[A],(M=-P[q+v])<=0||(P[q+v]=M,z=P[$+v]+J-M,z=Math.min(z,s-Z-M),-1!=P[F+z]&&(H[P[F+z]]=v),P[L+v]=P[F+z],H[v]=-1,P[F+z]=v,Y=Math.min(Y,z),P[$+v]=z,B[Q++]=v);P[q+y]=X,0===(P[U+y]=Q-K)&&(k[y]=-1,P[j+y]=0),0!==W&&(I=Q)}for(v=0;s>v;v++)k[v]=i(k[v]);for(d=0;s>=d;d++)P[F+d]=-1;for(d=s;d>=0;d--)P[q+d]>0||(P[L+d]=P[F+k[d]],P[F+k[d]]=d);for(w=s;w>=0;w--)P[q+w]<=0||-1!=k[w]&&(P[L+w]=P[F+k[w]],P[F+k[w]]=w);for(y=0,v=0;s>=v;v++)-1==k[v]&&(y=o(v,y,P,F,L,R,j));return R.splice(R.length-1,1),R},l=function(e,t,r,n,i){var a=c(t);if(1===e&&n===r)return s(t,a);if(2==e){for(var o=a._index,f=a._ptr,l=0,p=0;r>p;p++){var m=f[p];if(f[p]=l,!(f[p+1]-m>i))for(var h=f[p+1];h>m;m++)o[l++]=o[m]}return f[r]=l,t=c(a),u(a,t)}return u(a,t)},p=function(e,t,r,n,i,a,o,s,u,c,f,l){for(var p=0;e>p;p++)r[n+p]=t[p+1]-t[p];r[n+e]=0;for(var m=0;e>=m;m++)r[i+m]=-1,a[m]=-1,r[o+m]=-1,r[s+m]=-1,r[u+m]=1,r[c+m]=1,r[f+m]=0,r[l+m]=r[n+m];var g=h(0,0,r,c,e);return r[f+e]=-2,t[e]=-1,r[c+e]=0,g},m=function(e,t,r,n,a,o,s,u,c,f,l){for(var p=0,m=0;e>m;m++){var h=r[n+m];if(0===h)r[a+m]=-2,p++,t[m]=-1,r[o+m]=0;else if(h>s)r[u+m]=0,r[a+m]=-1,p++,t[m]=i(e),r[u+e]++;else{var g=r[c+h];-1!=g&&(f[g]=m),r[l+m]=r[c+h],r[c+h]=m}}return p},h=function(e,t,r,n,i){if(2>e||0>e+t){for(var a=0;i>a;a++)0!==r[n+a]&&(r[n+a]=1);e=2}return e},g=function(e,t){return e!=t};return f}t.name="cs_amd",t.path="sparse",t.factory=n},function(e,t){"use strict";function r(){var e=function(e){return-e-2};return e}t.name="cs_flip",t.path="sparse",t.factory=r},function(e,t){"use strict";function r(){var e=function(e,t,r){for(var n=e._values,i=e._index,a=e._ptr,o=e._size,s=o[1],u=0,c=0;s>c;c++){var f=a[c];for(a[c]=u;f<a[c+1];f++)t(i[f],c,n?n[f]:1,r)&&(i[u]=i[f],n&&(n[u]=n[f]),u++)}return a[s]=u,i.splice(u,i.length-u),n&&n.splice(u,n.length-u),u};return e}t.name="cs_fkeep",t.path="sparse",t.factory=r},function(e,t){"use strict";function r(){var e=function(e,t,r,n,i,a,o){var s=0;for(r[o]=e;s>=0;){var u=r[o+s],c=r[n+u];-1==c?(s--,a[t++]=u):(r[n+u]=r[i+c],++s,r[o+s]=c)}return t};return e}t.name="cs_tdfs",t.path="sparse",t.factory=r},function(e,t,r){"use strict";function n(e,t,n,o){var s=r(29),u=n(r(50)),c=e.DenseMatrix,f=e.SparseMatrix,l=o("transpose",{Array:function(e){return l(u(e)).valueOf()},Matrix:function(e){var t,r=e.size();switch(r.length){case 1:t=e.clone();break;case 2:var n=r[0],i=r[1];if(0===i)throw new RangeError("Cannot transpose a 2D matrix with no columns (size: "+a(r)+")");switch(e.storage()){case"dense":t=p(e,n,i);break;case"sparse":t=m(e,n,i)}break;default:throw new RangeError("Matrix must be a vector or two dimensional (size: "+a(this._size)+")")}return t},any:function(e){return i(e)}}),p=function(e,t,r){for(var n,a=e._data,o=[],s=0;r>s;s++){n=o[s]=[];for(var u=0;t>u;u++)n[u]=i(a[u][s])}return new c({data:o,size:[r,t],datatype:e._datatype})},m=function(e,t,r){for(var n=e._values,a=e._index,o=e._ptr,s=n?[]:void 0,u=[],c=[],l=[],p=0;t>p;p++)l[p]=0;var m,h,g;for(m=0,h=a.length;h>m;m++)l[a[m]]++;for(var v=0,d=0;t>d;d++)c.push(v),v+=l[d],l[d]=c[d];for(c.push(v),g=0;r>g;g++)for(var y=o[g],x=o[g+1],b=y;x>b;b++){var w=l[a[b]]++;u[w]=g,n&&(s[w]=i(n[b]))}return new f({values:s,index:u,ptr:c,size:[r,t],datatype:e._datatype})};return l.toTex="\\left(${args[0]}\\right)"+s.operators.transpose,l}var i=r(3).clone,a=r(23).format;t.name="transpose",t.factory=n},function(e,t){"use strict";function r(e){var t=e.SparseMatrix,r=function(e,r,n,i){for(var a=e._values,o=e._index,s=e._ptr,u=e._size,c=e._datatype,f=u[0],l=u[1],p=i&&e._values?[]:null,m=[],h=[],g=0,v=0;l>v;v++){h[v]=g;for(var d=n?n[v]:v,y=s[d],x=s[d+1],b=y;x>b;b++){var w=r?r[o[b]]:o[b];m[g]=w,p&&(p[g]=a[b]),g++}}return h[l]=g,new t({values:p,index:m,ptr:h,size:[f,l],datatype:c})};return r}t.name="cs_permute",t.path="sparse",t.factory=r},function(e,t){"use strict";function r(){var e=function(e,t){if(!e)return null;var r,n,i=e._index,a=e._ptr,o=e._size,s=o[0],u=o[1],c=[],f=[],l=0,p=u;if(t)for(r=0;s>r;r++)f[p+r]=-1;for(var m=0;u>m;m++){c[m]=-1,f[l+m]=-1;for(var h=a[m],g=a[m+1],v=h;g>v;v++){var d=i[v];for(r=t?f[p+d]:d;-1!=r&&m>r;r=n)n=f[l+r],f[l+r]=m,-1==n&&(c[r]=m);t&&(f[p+d]=m)}}return c};return e}t.name="cs_etree",t.path="sparse",t.factory=r},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(328)),a=function(e,t){if(!e)return null;var r,n=0,a=[],o=[],s=0,u=t,c=2*t;for(r=0;t>r;r++)o[s+r]=-1;for(r=t-1;r>=0;r--)-1!=e[r]&&(o[u+r]=o[s+e[r]],o[s+e[r]]=r);for(r=0;t>r;r++)-1==e[r]&&(n=i(r,n,o,s,u,a,c));return a};return a}t.name="cs_post",t.path="sparse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(329)),a=n(r(334)),o=function(e,t,r,n){if(!e||!t||!r)return null;var o,s,u,c,f,l,p,m=e._size,h=m[0],g=m[1],v=4*g+(n?g+h+1:0),d=[],y=0,x=g,b=2*g,w=3*g,N=4*g,E=5*g+1;for(u=0;v>u;u++)d[u]=-1;var M=[],A=i(e),_=A._index,O=A._ptr;for(u=0;g>u;u++)for(s=r[u],M[s]=-1==d[w+s]?1:0;-1!=s&&-1==d[w+s];s=t[s])d[w+s]=u;if(n){for(u=0;g>u;u++)d[r[u]]=u;for(o=0;h>o;o++){for(u=g,l=O[o],p=O[o+1],f=l;p>f;f++)u=Math.min(u,d[_[f]]);d[E+o]=d[N+u],d[N+u]=o}}for(o=0;g>o;o++)d[y+o]=o;for(u=0;g>u;u++){for(s=r[u],-1!=t[s]&&M[t[s]]--,c=n?d[N+u]:s;-1!=c;c=n?d[E+c]:-1)for(f=O[c];f<O[c+1];f++){o=_[f];var T=a(o,s,d,w,x,b,y);T.jleaf>=1&&M[s]++,2==T.jleaf&&M[T.q]--}-1!=t[s]&&(d[y+s]=t[s])}for(s=0;g>s;s++)-1!=t[s]&&(M[t[s]]+=M[s]);return M};return o}t.name="cs_counts",t.path="sparse",t.factory=n},function(e,t){"use strict";function r(){var e=function(e,t,r,n,i,a,o){var s,u,c,f,l=0;if(t>=e||r[n+t]<=r[i+e])return-1;if(r[i+e]=r[n+t],c=r[a+e],r[a+e]=t,-1===c)l=1,f=e;else{for(l=2,f=c;f!=r[o+f];f=r[o+f]);for(s=c;s!=f;s=u)u=r[o+s],r[o+s]=f}return{jleaf:l,q:f}};return e}t.name="cs_leaf",t.path="sparse",t.factory=r},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(85)),a=n(r(78)),o=n(r(83)),s=n(r(62)),u=n(r(336)),c=n(r(337)),f=e.SparseMatrix,l=function(e,t,r){if(!e)return null;var n,l=e._size,p=l[1],m=100,h=100;t&&(n=t.q,m=t.lnz||m,h=t.unz||h);var g,v,d=[],y=[],x=[],b=new f({values:d,index:y,ptr:x,size:[p,p]}),w=[],N=[],E=[],M=new f({values:w,index:N,ptr:E,size:[p,p]}),A=[],_=[],O=[];for(g=0;p>g;g++)_[g]=0,A[g]=-1,x[g+1]=0;m=0,h=0;for(var T=0;p>T;T++){x[T]=m,E[T]=h;var C=n?n[T]:T,S=c(b,e,C,O,_,A,1),z=-1,B=-1;for(v=S;p>v;v++)if(g=O[v],A[g]<0){var k=i(_[g]);s(k,B)&&(B=k,z=g)}else N[h]=A[g],w[h++]=_[g];if(-1==z||0>=B)return null;A[C]<0&&u(i(_[C]),o(B,r))&&(z=C);var I=_[z];for(N[h]=T,w[h++]=I,A[z]=T,y[m]=z,d[m++]=1,v=S;p>v;v++)g=O[v],A[g]<0&&(y[m]=g,d[m++]=a(_[g],I)),_[g]=0}for(x[p]=m,E[p]=h,v=0;m>v;v++)y[v]=A[y[v]];return d.splice(m,d.length-m),y.splice(m,y.length-m),w.splice(h,w.length-h),N.splice(h,N.length-h),{L:b,U:M,pinv:A}};return l}t.name="cs_lu",t.path="sparse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(50)),s=n(r(59)),u=n(r(60)),c=n(r(61)),f=n(r(55)),l=n(r(56)),p=r(29),m=a("largerEq",{"boolean, boolean":function(e,t){return e>=t},"number, number":function(e,r){return e>=r||i(e,r,t.epsilon)},"BigNumber, BigNumber":function(e,t){return e.gte(t)},"Fraction, Fraction":function(e,t){return-1!==e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return m(e.value,t.value)},"string, string":function(e,t){return e>=t},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=u(e,t,m);break;default:r=s(t,e,m,!0)}break;default:switch(t.storage()){case"sparse":r=s(e,t,m,!1);break;default:r=f(e,t,m)}}return r},"Array, Array":function(e,t){return m(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return m(o(e),t)},"Matrix, Array":function(e,t){return m(e,o(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=c(e,t,m,!1);break;default:r=l(e,t,m,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=c(t,e,m,!0);break;default:r=l(t,e,m,!0)}return r},"Array, any":function(e,t){return l(o(e),t,m,!1).valueOf()},"any, Array":function(e,t){return l(o(t),e,m,!0).valueOf()}});return m.toTex="\\left(${args[0]}"+p.operators.largerEq+"${args[1]}\\right)",m}var i=r(6).nearlyEqual;t.name="largerEq",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(78)),a=n(r(83)),o=n(r(74)),s=n(r(338)),u=function(e,t,r,n,u,c,f){var l,p,m,h,g=e._values,v=e._index,d=e._ptr,y=e._size,x=y[1],b=t._values,w=t._index,N=t._ptr,E=s(e,t,r,n,c);for(l=E;x>l;l++)u[n[l]]=0;for(p=N[r],m=N[r+1],l=p;m>l;l++)u[w[l]]=b[l];for(var M=E;x>M;M++){var A=n[M],_=c?c[A]:A;if(!(0>_))for(p=d[_],m=d[_+1],u[A]=i(u[A],g[f?p:m-1]),l=f?p+1:p,h=f?m:m-1;h>l;l++){var O=v[l];u[O]=o(u[O],a(g[l],u[A]))}}return E};return u}t.name="cs_spsolve",t.path="sparse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(339)),a=n(r(340)),o=n(r(341)),s=function(e,t,r,n,s){var u,c,f,l=e._ptr,p=e._size,m=t._index,h=t._ptr,g=p[1],v=g;for(c=h[r],f=h[r+1],u=c;f>u;u++){var d=m[u];a(l,d)||(v=i(d,e,v,n,s))}for(u=v;g>u;u++)o(l,n[u]);return v};return s}t.name="cs_reach",t.path="sparse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(340)),a=n(r(341)),o=n(r(342)),s=function(e,t,r,n,s){var u,c,f,l=t._index,p=t._ptr,m=t._size,h=m[1],g=0;for(n[0]=e;g>=0;){e=n[g];var v=s?s[e]:e;i(p,e)||(a(p,e),n[h+g]=0>v?0:o(p[v]));var d=1;for(c=n[h+g],f=0>v?0:o(p[v+1]);f>c;c++)if(u=l[c],!i(p,u)){n[h+g]=c,n[++g]=u,d=0;break}d&&(g--,n[--r]=e)}return r};return s}t.name="cs_dfs",t.path="sparse",t.factory=n},function(e,t){"use strict";function r(){var e=function(e,t){return e[t]<0};return e}t.name="cs_marked",t.path="sparse",t.factory=r},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(326)),a=function(e,t){e[t]=i(e[t])};return a}t.name="cs_mark",t.path="sparse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){var i=n(r(326)),a=function(e){return 0>e?i(e):e};return a}t.name="cs_unflip",t.path="sparse",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(50)),o=n(r(78)),s=n(r(77)),u=n(r(74)),c=n(r(47)),f=n(r(344)),l=e.DenseMatrix,p=i("lsolve",{"SparseMatrix, Array | Matrix":function(e,t){return h(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return m(e,t)},"Array, Array | Matrix":function(e,t){var r=a(e),n=m(r,t);return n.valueOf()}}),m=function(e,t){t=f(e,t,!0);for(var r=t._data,n=e._size[0],i=e._size[1],a=[],p=e._data,m=0;i>m;m++){var h,g=r[m][0]||0;if(c(g,0))h=0;else{var v=p[m][m];if(c(v,0))throw new Error("Linear system cannot be solved since matrix is singular");h=o(g,v);for(var d=m+1;n>d;d++)r[d]=[u(r[d][0]||0,s(h,p[d][m]))]}a[m]=[h]}return new l({data:a,size:[n,1]})},h=function(e,t){t=f(e,t,!0);for(var r,n,i=t._data,a=e._size[0],p=e._size[1],m=e._values,h=e._index,g=e._ptr,v=[],d=0;p>d;d++){var y=i[d][0]||0;if(c(y,0))v[d]=[0];else{var x=0,b=[],w=[],N=g[d+1];for(n=g[d];N>n;n++)r=h[n],r===d?x=m[n]:r>d&&(b.push(m[n]),w.push(r));if(c(x,0))throw new Error("Linear system cannot be solved since matrix is singular");var E=o(y,x);for(n=0,N=w.length;N>n;n++)r=w[n],i[r]=[u(i[r][0]||0,s(E,b[n]))];v[d]=[E]}}return new l({data:v,size:[a,1]})};return p}t.name="lsolve",t.factory=n},function(e,t,r){"use strict";function n(e){var t=e.DenseMatrix,r=function(e,r,n){var i=e.size();if(2!==i.length)throw new RangeError("Matrix must be two dimensional (size: "+a.format(i)+")");var u=i[0],c=i[1];if(u!==c)throw new RangeError("Matrix must be square (size: "+a.format(i)+")");var f,l,p;if(r&&r.isMatrix===!0){var m=r.size();if(1===m.length){if(m[0]!==u)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(f=[],p=r._data,l=0;u>l;l++)f[l]=[p[l]];return new t({data:f,size:[u,1],datatype:r._datatype})}if(2===m.length){if(m[0]!==u||1!==m[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(r.isDenseMatrix===!0){if(n){for(f=[],p=r._data,l=0;u>l;l++)f[l]=[p[l][0]];return new t({data:f,size:[u,1],datatype:r._datatype})}return r}for(f=[],l=0;u>l;l++)f[l]=[0];for(var h=r._values,g=r._index,v=r._ptr,d=v[1],y=v[0];d>y;y++)l=g[y],f[l][0]=h[y];return new t({data:f,size:[u,1],datatype:r._datatype})}throw new RangeError("Dimension mismatch. Matrix columns must match vector length.")}if(s(r)){var x=o.size(r);if(1===x.length){if(x[0]!==u)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(f=[],l=0;u>l;l++)f[l]=[r[l]];return new t({data:f,size:[u,1]})}if(2===x.length){if(x[0]!==u||1!==x[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(f=[],l=0;u>l;l++)f[l]=[r[l][0]];return new t({data:f,size:[u,1]})}throw new RangeError("Dimension mismatch. Matrix columns must match vector length.")}};return r}var i=r(38),a=i.string,o=i.array,s=Array.isArray;t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(50)),s=n(r(322)),u=n(r(323)),c=n(r(346)),f=n(r(344)),l=n(r(347)),p=n(r(343)),m=a("lusolve",{"Array, Array | Matrix":function(e,t){e=o(e);var r=s(e),n=g(r.L,r.U,r.p,null,t);return n.valueOf()},"DenseMatrix, Array | Matrix":function(e,t){var r=s(e);return g(r.L,r.U,r.p,null,t)},"SparseMatrix, Array | Matrix":function(e,t){var r=s(e);return g(r.L,r.U,r.p,null,t)},"SparseMatrix, Array | Matrix, number, number":function(e,t,r,n){var i=u(e,r,n);return g(i.L,i.U,i.p,i.q,t)},"Object, Array | Matrix":function(e,t){return g(e.L,e.U,e.p,e.q,t)}}),h=function(e){if(e&&e.isMatrix===!0)return e;if(i(e))return o(e);throw new TypeError("Invalid Matrix LU decomposition")},g=function(e,t,r,n,i){e=h(e),t=h(t),i=f(e,i,!1),r&&(i._data=c(r,i._data));var a=p(e,i),o=l(t,a);return n&&(o._data=c(n,o._data)),o};return m}var i=Array.isArray;t.name="lusolve",t.factory=n},function(e,t){"use strict";function r(){var e=function(e,t,r){var n,r=t.length,i=[];if(e)for(n=0;r>n;n++)i[e[n]]=t[n];else for(n=0;r>n;n++)i[n]=t[n];return i};return e}t.name="cs_ipvec",t.path="sparse",t.factory=r},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(50)),o=n(r(78)),s=n(r(77)),u=n(r(74)),c=n(r(47)),f=n(r(344)),l=e.DenseMatrix,p=i("usolve",{"SparseMatrix, Array | Matrix":function(e,t){return h(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return m(e,t)},"Array, Array | Matrix":function(e,t){var r=a(e),n=m(r,t);return n.valueOf()}}),m=function(e,t){t=f(e,t,!0);for(var r=t._data,n=e._size[0],i=e._size[1],a=[],p=e._data,m=i-1;m>=0;m--){var h,g=r[m][0]||0;if(c(g,0))h=0;else{var v=p[m][m];if(c(v,0))throw new Error("Linear system cannot be solved since matrix is singular");h=o(g,v);for(var d=m-1;d>=0;d--)r[d]=[u(r[d][0]||0,s(h,p[d][m]))]}a[m]=[h]}return new l({data:a,size:[n,1]})},h=function(e,t){t=f(e,t,!0);for(var r,n,i=t._data,a=e._size[0],p=e._size[1],m=e._values,h=e._index,g=e._ptr,v=[],d=p-1;d>=0;d--){var y=i[d][0]||0;if(c(y,0))v[d]=[0];else{var x=0,b=[],w=[],N=g[d],E=g[d+1];for(n=E-1;n>=N;n--)r=h[n],r===d?x=m[n]:d>r&&(b.push(m[n]),w.push(r));if(c(x,0))throw new Error("Linear system cannot be solved since matrix is singular");var M=o(y,x);for(n=0,E=w.length;E>n;n++)r=w[n],i[r]=[u(i[r][0],s(M,b[n]))];v[d]=[M]}}return new l({data:v,size:[a,1]})};return p}t.name="usolve",t.factory=n},function(e,t,r){e.exports=[r(85),r(49),r(51),r(349),r(351),r(352),r(310),r(353),r(355),r(357),r(80),r(358),r(359),r(360),r(361),r(364),r(82),r(367),r(368),r(83),r(369),r(371),r(79),r(372),r(374),r(362),r(375),r(74),r(75),r(376),r(377)]},function(e,t,r){"use strict";function n(e,t,n,a){function o(e){if(0===e)return e;var t,r=0>e;return r&&(e=-e),isFinite(e)?(t=Math.exp(Math.log(e)/3),t=(e/(t*t)+2*t)/3):t=e,r?-t:t}function s(r,n){var i=r.toPolar(),a=m(new e.Complex(o(i.r),0),h(new e.Complex(0,i.phi/3)));if(n){var s=[a,m(new e.Complex(o(i.r),0),h(new e.Complex(0,i.phi/3+2*Math.PI/3))),m(new e.Complex(o(i.r),0),h(new e.Complex(0,i.phi/3-2*Math.PI/3)))];return"array"===t.matrix?s:p(s)}return a}function u(e){if(e.isZero())return e;var t,r=e.isNegative();return r&&(e=e.neg()),e.isFinite()?(t=e.ln().div(3).exp(),t=e.div(t.times(t)).plus(t.times(2)).div(3)):t=1/0,r?t.neg():t}function c(t){if(t.value&&t.value.isComplex){var r=t.clone();return r.value=1,r=r.pow(1/3),r.value=s(t.value),r}var n=l(t.value);n&&(t.value=f(t.value));var i;i=t.value&&t.value.isBigNumber?new e.BigNumber(1).div(3):t.value&&t.value.isFraction?new e.Fraction(1,3):1/3;var r=t.pow(i);return n&&(r.value=f(r.value)),r}var f=n(r(75)),l=n(r(350)),p=n(r(50)),m=a.find(n(r(77)),["Complex,Complex"]),h=a.find(n(r(80)),["Complex"]),g=a("cbrt",{number:o,Complex:s,"Complex, boolean":s,BigNumber:u,Unit:c,"Array | Matrix":function(e){return i(e,g,!0)}});return g.toTex="\\sqrt[3]{${args[0]}}",g}var i=r(19);t.name="cbrt",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("isNegative",{number:function(e){return 0>e},BigNumber:function(e){return e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return e.s<0&&e.n>0},Unit:function(e){return a(e.value)},"Array | Matrix":function(e){return i(e,a)}});return a}var i=r(19);r(6);t.name="isNegative",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("ceil",{number:Math.ceil,Complex:function(t){return new e.Complex(Math.ceil(t.re),Math.ceil(t.im))},BigNumber:function(e){return e.ceil()},Fraction:function(e){return e.ceil()},"Array | Matrix":function(e){return i(e,a,!0)}});return a.toTex="\\left\\lceil${args[0]}\\right\\rceil",a}var i=r(19);t.name="ceil",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=a.find(n(r(77)),["Complex,Complex"]),s=a("cube",{number:function(e){return e*e*e},Complex:function(e){return o(o(e,e),e)},BigNumber:function(e){return e.times(e).times(e)},Fraction:function(e){return e.mul(e).mul(e)},"Array | Matrix":function(e){return i(e,s,!0)},Unit:function(e){return e.pow(3)}});return s.toTex="\\left(${args[0]}\\right)^3",s}var i=r(19);t.name="cube",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(50)),o=n(r(78)),s=r(29),u=n(r(354)),c=n(r(59)),f=n(r(60)),l=n(r(84)),p=n(r(61)),m=n(r(55)),h=n(r(56)),g=i("dotDivide",{"any, any":o,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=f(e,t,o,!1);break;default:r=u(t,e,o,!0)}break;default:switch(t.storage()){case"sparse":r=c(e,t,o,!1);break;default:r=m(e,t,o)}}return r},"Array, Array":function(e,t){return g(a(e),a(t)).valueOf()},"Array, Matrix":function(e,t){return g(a(e),t)},"Matrix, Array":function(e,t){return g(e,a(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=l(e,t,o,!1);break;default:r=h(e,t,o,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=p(t,e,o,!0);break;default:r=h(t,e,o,!0)}return r},"Array, any":function(e,t){return h(a(e),t,o,!1).valueOf()},"any, Array":function(e,t){return h(a(t),e,o,!0).valueOf()}});return g.toTex="\\left(${args[0]}"+s.operators.dotDivide+"${args[1]}\\right)",g}t.name="dotDivide",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(47)),s=e.SparseMatrix,u=function(e,t,r,n){var u=e._data,c=e._size,f=e._datatype,l=t._values,p=t._index,m=t._ptr,h=t._size,g=t._datatype;if(c.length!==h.length)throw new i(c.length,h.length);if(c[0]!==h[0]||c[1]!==h[1])throw new RangeError("Dimension mismatch. Matrix A ("+c+") must match Matrix B ("+h+")");if(!l)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var v,d=c[0],y=c[1],x=o,b=0,w=r;"string"==typeof f&&f===g&&(v=f,x=a.find(o,[v,v]),b=a.convert(0,v),w=a.find(r,[v,v]));for(var N=[],E=[],M=[],A=0;y>A;A++){M[A]=E.length;for(var _=m[A],O=m[A+1],T=_;O>T;T++){var C=p[T],S=n?w(l[T],u[C][A]):w(u[C][A],l[T]);x(S,b)||(E.push(C),N.push(S))}}return M[y]=E.length,new s({values:N,index:E,ptr:M,size:[d,y],datatype:v})};return u}var i=r(41);t.name="algorithm02",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(50)),o=n(r(77)),s=r(29),u=n(r(354)),c=n(r(356)),f=n(r(84)),l=n(r(55)),p=n(r(56)),m=i("dotMultiply",{"any, any":o,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=c(e,t,o,!1);break;default:r=u(t,e,o,!0)}break;default:switch(t.storage()){case"sparse":r=u(e,t,o,!1);break;default:r=l(e,t,o)}}return r},"Array, Array":function(e,t){return m(a(e),a(t)).valueOf()},"Array, Matrix":function(e,t){return m(a(e),t)},"Matrix, Array":function(e,t){return m(e,a(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=f(e,t,o,!1);break;default:r=p(e,t,o,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=f(t,e,o,!0);break;default:r=p(t,e,o,!0)}return r},"Array, any":function(e,t){return p(a(e),t,o,!1).valueOf()},"any, Array":function(e,t){return p(a(t),e,o,!0).valueOf()}});return m.toTex="\\left(${args[0]}"+s.operators.dotMultiply+"${args[1]}\\right)",m}t.name="dotMultiply",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(47)),s=e.SparseMatrix,u=function(e,t,r){var n=e._values,u=e._index,c=e._ptr,f=e._size,l=e._datatype,p=t._values,m=t._index,h=t._ptr,g=t._size,v=t._datatype;if(f.length!==g.length)throw new i(f.length,g.length);if(f[0]!==g[0]||f[1]!==g[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+g+")");var d,y=f[0],x=f[1],b=o,w=0,N=r;"string"==typeof l&&l===v&&(d=l,b=a.find(o,[d,d]),w=a.convert(0,d),N=a.find(r,[d,d]));var E,M,A,_,O,T=n&&p?[]:void 0,C=[],S=[],z=new s({values:T,index:C,ptr:S,size:[y,x],datatype:d}),B=T?[]:void 0,k=[];for(M=0;x>M;M++){S[M]=C.length;var I=M+1;if(B)for(_=h[M],O=h[M+1],A=_;O>A;A++)E=m[A],k[E]=I,B[E]=p[A];for(_=c[M],O=c[M+1],A=_;O>A;A++)if(E=u[A],B){var R=k[E]===I?B[E]:w,P=N(n[A],R);b(P,w)||(C.push(E),T.push(P))}else C.push(E)}return S[x]=C.length,z};return u}var i=r(41);t.name="algorithm09",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(50)),o=n(r(79)),s=r(29),u=n(r(59)),c=n(r(60)),f=n(r(84)),l=n(r(61)),p=n(r(55)),m=n(r(56)),h=i("dotPow",{"any, any":o,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=c(e,t,o,!1);break;default:r=u(t,e,o,!0)}break;default:switch(t.storage()){case"sparse":r=u(e,t,o,!1);break;default:r=p(e,t,o)}}return r},"Array, Array":function(e,t){return h(a(e),a(t)).valueOf()},"Array, Matrix":function(e,t){return h(a(e),t)},"Matrix, Array":function(e,t){return h(e,a(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=f(e,t,h,!1);break;default:r=m(e,t,h,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=l(t,e,h,!0);break;default:r=m(t,e,h,!0)}return r},"Array, any":function(e,t){return m(a(e),t,h,!1).valueOf()},"any, Array":function(e,t){return m(a(t),e,h,!0).valueOf()}});return h.toTex="\\left(${args[0]}"+s.operators.dotPow+"${args[1]}\\right)",h}t.name="dotPow",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("fix",{number:function(e){return e>0?Math.floor(e):Math.ceil(e)},Complex:function(t){return new e.Complex(t.re>0?Math.floor(t.re):Math.ceil(t.re),t.im>0?Math.floor(t.im):Math.ceil(t.im))},BigNumber:function(e){return e.isNegative()?e.ceil():e.floor()},Fraction:function(e){return e.s<0?e.ceil():e.floor()},"Array | Matrix":function(e){return i(e,a,!0)}});return a.toTex="\\mathrm{${name}}\\left(${args}\\right)",a}var i=r(19);t.name="fix",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("floor",{number:Math.floor,Complex:function(t){return new e.Complex(Math.floor(t.re),Math.floor(t.im))},BigNumber:function(e){return e.floor()},Fraction:function(e){return e.floor()},"Array | Matrix":function(e){return i(e,a,!0)}});return a.toTex="\\left\\lfloor${args[0]}\\right\\rfloor",a}var i=r(19);t.name="floor",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(t,r){if(!t.isInt()||!r.isInt())throw new Error("Parameters in function gcd must be integer numbers");for(var n=new e.BigNumber(0);!r.isZero();){var i=t.mod(r);t=r,r=i}return t.lt(n)?t.neg():t}var s=n(r(50)),u=n(r(52)),c=n(r(53)),f=n(r(54)),l=n(r(55)),p=n(r(56)),m=a("gcd",{"number, number":i,"BigNumber, BigNumber":o,"Fraction, Fraction":function(e,t){return e.gcd(t)},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=c(e,t,m);break;default:r=u(t,e,m,!0)}break;default:switch(t.storage()){case"sparse":r=u(e,t,m,!1);break;default:r=l(e,t,m)}}return r},"Array, Array":function(e,t){return m(s(e),s(t)).valueOf()},"Array, Matrix":function(e,t){return m(s(e),t)},"Matrix, Array":function(e,t){return m(e,s(t))},"Matrix, number | BigNumber":function(e,t){var r;switch(e.storage()){case"sparse":r=f(e,t,m,!1);break;default:r=p(e,t,m,!1)}return r},"number | BigNumber, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=f(t,e,m,!0);break;default:r=p(t,e,m,!0)}return r},"Array, number | BigNumber":function(e,t){return p(s(e),t,m,!1).valueOf()},"number | BigNumber, Array":function(e,t){return p(s(t),e,m,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(e,t,r){
for(var n=m(e,t),i=0;i<r.length;i++)n=m(n,r[i]);return n}});return m.toTex="\\gcd\\left(${args}\\right)",m}function i(e,t){if(!a(e)||!a(t))throw new Error("Parameters in function gcd must be integer numbers");for(var r;0!=t;)r=e%t,e=t,t=r;return 0>e?-e:e}var a=r(6).isInteger;t.name="gcd",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(e){for(var t=0,r=0,n=0;n<e.length;n++){var i=s(e[n]);p(r,i)?(t=f(t,f(c(r,i),c(r,i))),t=u(t,1),r=i):t=u(t,m(i)?f(c(i,r),c(i,r)):i)}return f(r,l(t))}var s=n(r(85)),u=n(r(51)),c=n(r(78)),f=n(r(77)),l=n(r(362)),p=n(r(58)),m=n(r(363)),h=a("hypot",{"... number | BigNumber":o,Array:function(e){return h.apply(h,i(e))},Matrix:function(e){return h.apply(h,i(e.toArray()))}});return h.toTex="\\hypot\\left(${args}\\right)",h}var i=r(39).flatten;t.name="hypot",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){function a(r){return r>=0||t.predictable?Math.sqrt(r):o(new e.Complex(r,0))}function o(t){var r,n,i=Math.sqrt(t.re*t.re+t.im*t.im);return r=t.re>=0?.5*Math.sqrt(2*(i+t.re)):Math.abs(t.im)/Math.sqrt(2*(i-t.re)),n=t.re<=0?.5*Math.sqrt(2*(i-t.re)):Math.abs(t.im)/Math.sqrt(2*(i+t.re)),t.im>=0?new e.Complex(r,n):new e.Complex(r,-n)}var s=n("sqrt",{number:a,Complex:o,BigNumber:function(e){return!e.isNegative()||t.predictable?e.sqrt():a(e.toNumber())},"Array | Matrix":function(e){return i(e,s,!0)},Unit:function(e){return e.pow(.5)}});return s.toTex="\\sqrt{${args[0]}}",s}var i=r(19);t.name="sqrt",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("isPositive",{number:function(e){return e>0},BigNumber:function(e){return!e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return e.s>0&&e.n>0},Unit:function(e){return a(e.value)},"Array | Matrix":function(e){return i(e,a)}});return a}var i=r(19);r(6);t.name="isPositive",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(t,r){if(!t.isInt()||!r.isInt())throw new Error("Parameters in function lcm must be integer numbers");if(t.isZero()||r.isZero())return new e.BigNumber(0);for(var n=t.times(r);!r.isZero();){var i=r;r=t.mod(i),t=i}return n.div(t).abs()}var s=n(r(50)),u=n(r(354)),c=n(r(365)),f=n(r(84)),l=n(r(55)),p=n(r(56)),m=a("lcm",{"number, number":i,"BigNumber, BigNumber":o,"Fraction, Fraction":function(t,r){return 0===t.n&&0===r.n?new e.Fraction(0):t.mul(r).abs().div(t.gcd(r))},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=c(e,t,m);break;default:r=u(t,e,m,!0)}break;default:switch(t.storage()){case"sparse":r=u(e,t,m,!1);break;default:r=l(e,t,m)}}return r},"Array, Array":function(e,t){return m(s(e),s(t)).valueOf()},"Array, Matrix":function(e,t){return m(s(e),t)},"Matrix, Array":function(e,t){return m(e,s(t))},"Matrix, number | BigNumber":function(e,t){var r;switch(e.storage()){case"sparse":r=f(e,t,m,!1);break;default:r=p(e,t,m,!1)}return r},"number | BigNumber, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=f(t,e,m,!0);break;default:r=p(t,e,m,!0)}return r},"Array, number | BigNumber":function(e,t){return p(s(e),t,m,!1).valueOf()},"number | BigNumber, Array":function(e,t){return p(s(t),e,m,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(e,t,r){for(var n=m(e,t),i=0;i<r.length;i++)n=m(n,r[i]);return n}});return m.toTex="\\mathrm{${name}}\\left(${args}\\right)",m}function i(e,t){if(!a(e)||!a(t))throw new Error("Parameters in function lcm must be integer numbers");if(0==e||0==t)return 0;for(var r,n=e*t;0!=t;)r=t,t=e%r,e=r;return Math.abs(n/e)}var a=r(6).isInteger;t.name="lcm",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var s=n(r(47)),u=e.SparseMatrix,c=function(e,t,r){var n=e._values,c=e._size,f=e._datatype,l=t._values,p=t._size,m=t._datatype;if(c.length!==p.length)throw new a(c.length,p.length);if(c[0]!==p[0]||c[1]!==p[1])throw new RangeError("Dimension mismatch. Matrix A ("+c+") must match Matrix B ("+p+")");var h,g=c[0],v=c[1],d=s,y=0,x=r;"string"==typeof f&&f===m&&(h=f,d=o.find(s,[h,h]),y=o.convert(0,h),x=o.find(r,[h,h]));for(var b=n&&l?[]:void 0,w=[],N=[],E=new u({values:b,index:w,ptr:N,size:[g,v],datatype:h}),M=b?[]:void 0,A=[],_=[],O=0;v>O;O++){N[O]=w.length;var T=O+1;if(i(e,O,A,M,_,T,E,x),i(t,O,A,M,_,T,E,x),M)for(var C=N[O];C<w.length;){var S=w[C];if(_[S]===T){var z=M[S];d(z,y)?w.splice(C,1):(b.push(z),C++)}else w.splice(C,1)}else for(var B=N[O];B<w.length;){var k=w[B];_[k]!==T?w.splice(B,1):B++}}return N[v]=w.length,E};return c}var i=r(366),a=r(41);t.name="algorithm06",t.factory=n},function(e,t){"use strict";e.exports=function(e,t,r,n,i,a,o,s,u,c,f){var l,p,m,h,g=e._values,v=e._index,d=e._ptr,y=o._index;if(n)for(p=d[t],m=d[t+1],l=p;m>l;l++)h=v[l],r[h]!==a?(r[h]=a,y.push(h),c?(n[h]=u?s(g[l],f):s(f,g[l]),i[h]=a):n[h]=g[l]):(n[h]=u?s(g[l],n[h]):s(n[h],g[l]),i[h]=a);else for(p=d[t],m=d[t+1],l=p;m>l;l++)h=v[l],r[h]!==a?(r[h]=a,y.push(h)):i[h]=a}},function(e,t,r){"use strict";function n(e,t,r,n){function a(t){return new e.Complex(Math.log(Math.sqrt(t.re*t.re+t.im*t.im))/Math.LN10,Math.atan2(t.im,t.re)/Math.LN10)}var o=n("log10",{number:function(r){return r>=0||t.predictable?Math.log(r)/Math.LN10:o(new e.Complex(r,0))},Complex:a,BigNumber:function(r){return!r.isNegative()||t.predictable?r.log():a(new e.Complex(r.toNumber(),0))},"Array | Matrix":function(e){return i(e,o)}});return o.toTex="\\log_{10}\\left(${args[0]}\\right)",o}var i=r(19);t.name="log10",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function a(e,t){if(t>0)return e-t*Math.floor(e/t);if(0===t)return e;throw new Error("Cannot calculate mod for a negative divisor")}var o=n(r(50)),s=r(29),u=n(r(354)),c=n(r(59)),f=n(r(76)),l=n(r(84)),p=n(r(61)),m=n(r(55)),h=n(r(56)),g=i("mod",{"number, number":a,"BigNumber, BigNumber":function(e,t){return t.isZero()?e:e.mod(t)},"Fraction, Fraction":function(e,t){return e.mod(t)},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=f(e,t,g,!1);break;default:r=u(t,e,g,!0)}break;default:switch(t.storage()){case"sparse":r=c(e,t,g,!1);break;default:r=m(e,t,g)}}return r},"Array, Array":function(e,t){return g(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return g(o(e),t)},"Matrix, Array":function(e,t){return g(e,o(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=l(e,t,g,!1);break;default:r=h(e,t,g,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=p(t,e,g,!0);break;default:r=h(t,e,g,!0)}return r},"Array, any":function(e,t){return h(o(e),t,g,!1).valueOf()},"any, Array":function(e,t){return h(o(t),e,g,!0).valueOf()}});return g.toTex="\\left(${args[0]}"+s.operators.mod+"${args[1]}\\right)",g}t.name="mod",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function a(e,t){var r=e.size();if(1==r.length){if(t===Number.POSITIVE_INFINITY||"inf"===t){var n=0;return e.forEach(function(e){var t=o(e);p(t,n)&&(n=t)},!0),n}if(t===Number.NEGATIVE_INFINITY||"-inf"===t){var i;return e.forEach(function(e){var t=o(e);(!i||m(t,i))&&(i=t)},!0),i||0}if("fro"===t)return a(e,2);if("number"==typeof t&&!isNaN(t)){if(!l(t,0)){var h=0;return e.forEach(function(e){h=s(u(o(e),t),h)},!0),u(h,1/t)}return Number.POSITIVE_INFINITY}throw new Error("Unsupported parameter value")}if(2==r.length){if(1===t){var d=[],y=0;return e.forEach(function(e,t){var r=t[1],n=s(d[r]||0,o(e));p(n,y)&&(y=n),d[r]=n},!0),y}if(t===Number.POSITIVE_INFINITY||"inf"===t){var x=[],b=0;return e.forEach(function(e,t){var r=t[0],n=s(x[r]||0,o(e));p(n,b)&&(b=n),x[r]=n},!0),b}if("fro"===t)return c(g(f(v(e),e)));if(2===t)throw new Error("Unsupported parameter value, missing implementation of matrix singular value decomposition");throw new Error("Unsupported parameter value")}}var o=n(r(85)),s=n(r(49)),u=n(r(79)),c=n(r(362)),f=n(r(83)),l=n(r(47)),p=n(r(62)),m=n(r(58)),h=n(r(50)),g=n(r(370)),v=n(r(329)),d=i.find(o,["Complex"]),y=i("norm",{number:Math.abs,Complex:d,BigNumber:function(e){return e.abs()},"boolean | null":function(e){return Math.abs(e)},Array:function(e){return a(h(e),2)},Matrix:function(e){return a(e,2)},"number | Complex | BigNumber | boolean | null, number | BigNumber | string":function(e){return y(e)},"Array, number | BigNumber | string":function(e,t){return a(h(e),t)},"Matrix, number | BigNumber | string":function(e,t){return a(e,t)}});return y.toTex={1:"\\left\\|${args[0]}\\right\\|",2:"\\mathrm{${name}}\\left(${args}\\right)"},y}t.name="norm",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var s=n(r(50)),u=n(r(49)),c=o("trace",{Array:function(e){return c(s(e))},Matrix:function(e){var t;switch(e.storage()){case"dense":t=f(e);break;case"sparse":t=l(e)}return t},any:i}),f=function(e){var t=e._size,r=e._data;switch(t.length){case 1:if(1==t[0])return i(r[0]);throw new RangeError("Matrix must be square (size: "+a(t)+")");case 2:var n=t[0],o=t[1];if(n===o){for(var s=0,c=0;n>c;c++)s=u(s,r[c][c]);return s}throw new RangeError("Matrix must be square (size: "+a(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+a(t)+")")}},l=function(e){var t=e._values,r=e._index,n=e._ptr,i=e._size,o=i[0],s=i[1];if(o===s){var c=0;if(t.length>0)for(var f=0;s>f;f++)for(var l=n[f],p=n[f+1],m=l;p>m;m++){var h=r[m];if(h===f){c=u(c,t[m]);break}if(h>f)break}return c}throw new RangeError("Matrix must be square (size: "+a(i)+")")};return c.toTex="\\mathrm{tr}\\left(${args[0]}\\right)",c}var i=r(3).clone,a=r(23).format;t.name="trace",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){function s(t,r){var n=e.BigNumber.precision,i=e.BigNumber.constructor({precision:n+2}),a=new e.BigNumber(0),o=new i(1),s=r.isNegative();if(s&&(r=r.neg()),r.isZero())throw new Error("Root must be non-zero");if(t.isNegative()&&!r.abs().mod(2).equals(1))throw new Error("Root must be odd when a is negative.");if(t.isZero())return a;if(!t.isFinite())return s?a:t;var u=t.abs().pow(o.div(r));return u=t.isNeg()?u.neg():u,new e.BigNumber((s?o.div(u):u).toPrecision(n))}var u=n(r(50)),c=n(r(52)),f=n(r(354)),l=n(r(365)),p=n(r(84)),m=n(r(55)),h=n(r(56)),g=o("nthRoot",{number:function(e){return i(e,2)},"number, number":i,BigNumber:function(t){return s(t,new e.BigNumber(2))},Complex:function(e){return a(e,2)},"Complex, number":a,"BigNumber, BigNumber":s,"Array | Matrix":function(e){return g(e,2)},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":if(1!==t.density())throw new Error("Root must be non-zero");r=l(e,t,g);break;default:r=f(t,e,g,!0)}break;default:switch(t.storage()){case"sparse":if(1!==t.density())throw new Error("Root must be non-zero");r=c(e,t,g,!1);break;default:r=m(e,t,g)}}return r},"Array, Array":function(e,t){return g(u(e),u(t)).valueOf()},"Array, Matrix":function(e,t){return g(u(e),t)},"Matrix, Array":function(e,t){return g(e,u(t))},"Matrix, number | BigNumber":function(e,t){var r;switch(e.storage()){case"sparse":r=p(e,t,g,!1);break;default:r=h(e,t,g,!1)}return r},"number | BigNumber, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":if(1!==t.density())throw new Error("Root must be non-zero");r=p(t,e,g,!0);break;default:r=h(t,e,g,!0)}return r},"Array, number | BigNumber":function(e,t){return g(u(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return g(e,u(t)).valueOf()}});return g.toTex="\\sqrt[${args[1]}]{${args[0]}}",g}function i(e,t){var r=0>t;if(r&&(t=-t),0===t)throw new Error("Root must be non-zero");if(0>e&&Math.abs(t)%2!=1)throw new Error("Root must be odd when a is negative.");if(0==e)return 0;if(!isFinite(e))return r?0:e;var n=Math.pow(Math.abs(e),1/t);return n=0>e?-n:n,r?1/n:n}function a(e,t){if(0>t)throw new Error("Root must be greater than zero");if(0===t)throw new Error("Root must be non-zero");if(t%1!==0)throw new Error("Root must be an integer");for(var r=e.toPolar(),n=[],i=Math.pow(r.r,1/t),a=0;t>a;a++)n.push({r:i,phi:(r.phi+2*Math.PI*a)/t});return n}t.name="nthRoot",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var c=n(r(50)),f=n(r(47)),l=n(r(373)),p=n(r(84)),m=n(r(61)),h=n(r(56)),g=o("round",{number:Math.round,"number, number":function(e,t){if(!a(t))throw new TypeError(u);if(0>t||t>15)throw new Error("Number of decimals in function round must be in te range of 0-15");return i(e,t)},Complex:function(t){return new e.Complex(Math.round(t.re),Math.round(t.im))},"Complex, number":function(t,r){return new e.Complex(i(t.re,r),i(t.im,r))},"Complex, BigNumber":function(t,r){if(!r.isInteger())throw new TypeError(u);var n=r.toNumber();return new e.Complex(i(t.re,n),i(t.im,n))},"number, BigNumber":function(t,r){if(!r.isInteger())throw new TypeError(u);return new e.BigNumber(t).toDecimalPlaces(r.toNumber())},BigNumber:function(e){return e.toDecimalPlaces(0)},"BigNumber, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(u);return e.toDecimalPlaces(t.toNumber())},Fraction:function(e){return e.round()},"Array | Matrix":function(e){return s(e,g,!0)},"Matrix, number | BigNumber":function(e,t){var r;switch(e.storage()){case"sparse":r=p(e,t,g,!1);break;default:r=h(e,t,g,!1)}return r},"number | Complex | BigNumber, Matrix":function(e,t){if(!f(e,0)){var r;switch(t.storage()){case"sparse":r=m(t,e,g,!0);break;default:r=h(t,e,g,!0)}return r}return l(t.size(),t.storage())},"Array, number | BigNumber":function(e,t){return h(c(e),t,g,!1).valueOf()},"number | Complex | BigNumber, Array":function(e,t){return h(c(t),e,g,!0).valueOf()}});return g.toTex={1:"\\left\\lfloor${args[0]}\\right\\rceil",2:"\\mathrm{${name}}\\left(${args}\\right)"},g}function i(e,t){return parseFloat(o(e,t))}var a=r(6).isInteger,o=r(6).toFixed,s=r(19),u="Number of decimals in function round must be an integer";t.name="round",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){function s(t,r){var n=u(t),i=n?new e.BigNumber(0):0;if(c(t),r){var o=f(r);return t.length>0?o.resize(t,i):o}var s=[];return t.length>0?a(s,t,i):s}function u(e){var t=!1;return e.forEach(function(e,r,n){e&&e.isBigNumber===!0&&(t=!0,n[r]=e.toNumber())}),t}function c(e){e.forEach(function(e){if("number"!=typeof e||!i(e)||0>e)throw new Error("Parameters in function zeros must be positive integers")})}var f=n(r(50)),l=o("zeros",{"":function(){return"array"===t.matrix?s([]):s([],"default")},"...number | BigNumber | string":function(e){var r=e[e.length-1];if("string"==typeof r){var n=e.pop();return s(e,n)}return"array"===t.matrix?s(e):s(e,"default")},Array:s,Matrix:function(e){var t=e.storage();return s(e.valueOf(),t)},"Array | Matrix, string":function(e,t){return s(e.valueOf(),t)}});return l.toTex="\\mathrm{${name}}\\left(${args}\\right)",l}var i=r(6).isInteger,a=r(39).resize;t.name="zeros",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var o=n("sign",{number:i.sign,Complex:function(t){var r=Math.sqrt(t.re*t.re+t.im*t.im);return new e.Complex(t.re/r,t.im/r)},BigNumber:function(t){return new e.BigNumber(t.cmp(0))},Fraction:function(t){return new e.Fraction(t.s)},"Array | Matrix":function(e){return a(e,o,!0)},Unit:function(e){return o(e.value)}});return o.toTex="\\mathrm{${name}}\\left(${args}\\right)",o}var i=r(6),a=r(19);t.name="sign",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("square",{number:function(e){return e*e},Complex:function(t){return new e.Complex(t.re*t.re-t.im*t.im,t.re*t.im+t.im*t.re)},BigNumber:function(e){return e.times(e)},Fraction:function(e){return e.mul(e)},"Array | Matrix":function(e){return i(e,a,!0)},Unit:function(e){return e.pow(2)}});return a.toTex="\\left(${args[0]}\\right)^2",a}var i=r(19);t.name="square",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=r(29),s=a("unaryPlus",{number:function(e){return e},Complex:function(e){return e.clone()},BigNumber:function(e){return e},Fraction:function(e){return e},Unit:function(e){return e.clone()},"Array | Matrix":function(e){return i(e,s,!0)},"boolean | string | null":function(r){return"bignumber"==t.number?new e.BigNumber(+r):+r}});return s.toTex=o.operators.unaryPlus+"\\left(${args[0]}\\right)",s}var i=r(19);t.name="unaryPlus",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(e,r){var n,a,o,s=0,c=1,f=1,l=0;if(!i(e)||!i(r))throw new Error("Parameters in function xgcd must be integer numbers");for(;r;)a=Math.floor(e/r),o=e%r,n=s,s=c-a*s,c=n,n=f,f=l-a*f,l=n,e=r,r=o;var p;return p=0>e?[-e,-c,-l]:[e,e?c:0,l],"array"===t.matrix?p:u(p)}function s(r,n){var i,a,o,s=new e.BigNumber(0),c=new e.BigNumber(0),f=new e.BigNumber(1),l=new e.BigNumber(1),p=new e.BigNumber(0);if(!r.isInt()||!n.isInt())throw new Error("Parameters in function xgcd must be integer numbers");for(;!n.isZero();)a=r.div(n).floor(),o=r.mod(n),i=c,c=f.minus(a.times(c)),f=i,i=l,l=p.minus(a.times(l)),p=i,r=n,n=o;var m;return m=r.lt(s)?[r.neg(),f.neg(),p.neg()]:[r,r.isZero()?0:f,p],"array"===t.matrix?m:u(m)}var u=n(r(50)),c=a("xgcd",{"number, number":o,"BigNumber, BigNumber":s});return c.toTex="\\mathrm{${name}}\\left(${args}\\right)",c}var i=r(6).isInteger;t.name="xgcd",t.factory=n},function(e,t,r){e.exports=[r(379),r(383),r(384),r(386),r(388),r(391),r(393)]},function(e,t,r){"use strict";function n(e,t,n,o){var s=r(29),u=n(r(50)),c=n(r(354)),f=n(r(365)),l=n(r(84)),p=n(r(55)),m=n(r(56)),h=o("bitAnd",{"number, number":function(e,t){if(!i(e)||!i(t))throw new Error("Integers expected in function bitAnd");return e&t},"BigNumber, BigNumber":a,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=f(e,t,h,!1);break;default:r=c(t,e,h,!0)}break;default:switch(t.storage()){case"sparse":r=c(e,t,h,!1);break;default:r=p(e,t,h)}}return r},"Array, Array":function(e,t){return h(u(e),u(t)).valueOf()},"Array, Matrix":function(e,t){return h(u(e),t)},"Matrix, Array":function(e,t){return h(e,u(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=l(e,t,h,!1);break;default:r=m(e,t,h,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=l(t,e,h,!0);break;default:r=m(t,e,h,!0)}return r},"Array, any":function(e,t){return m(u(e),t,h,!1).valueOf()},"any, Array":function(e,t){return m(u(t),e,h,!0).valueOf()}});return h.toTex="\\left(${args[0]}"+s.operators.bitAnd+"${args[1]}\\right)",h}var i=r(6).isInteger,a=r(380);t.name="bitAnd",t.factory=n},function(e,t,r){var n=r(381);e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitAnd");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);if(e.isZero()||t.eq(-1)||e.eq(t))return e;if(t.isZero()||e.eq(-1))return t;if(!e.isFinite()||!t.isFinite()){if(!e.isFinite()&&!t.isFinite())return e.isNegative()==t.isNegative()?e:new r(0);if(!e.isFinite())return t.isNegative()?e:e.isNegative()?new r(0):t;if(!t.isFinite())return e.isNegative()?t:t.isNegative()?new r(0):e}return n(e,t,function(e,t){return e&t})}},function(e,t,r){function n(e){for(var t=e.c,r=t[0]+"",n=1;n<t.length;++n){for(var i=t[n]+"",a=7-i.length;a--;)i="0"+i;r+=i}var o;for(o=r.length-1;"0"==r.charAt(o);--o);var s=e.e,u=r.slice(0,o+1||1),c=u.length;if(s>0)if(++s>c)for(s-=c;s--;u+="0");else c>s&&(u=u.slice(0,s)+"."+u.slice(s));for(var f=[0],n=0;n<u.length;){for(var l=f.length;l--;f[l]*=10);f[0]+=u.charAt(n++)<<0;for(var o=0;o<f.length;++o)f[o]>1&&(null==f[o+1]&&(f[o+1]=0),f[o+1]+=f[o]>>1,f[o]&=1)}return f.reverse()}var i=r(382);e.exports=function(e,t,r){var a,o,s=e.constructor,u=+(e.s<0),c=+(t.s<0);if(u){a=n(i(e));for(var f=0;f<a.length;++f)a[f]^=1}else a=n(e);if(c){o=n(i(t));for(var f=0;f<o.length;++f)o[f]^=1}else o=n(t);var l,p,m;a.length<=o.length?(l=a,p=o,m=u):(l=o,p=a,m=c);var h=l.length,g=p.length,v=1^r(u,c),d=new s(1^v),y=s.ONE,x=new s(2),b=s.precision;for(s.config({precision:1e9});h>0;)r(l[--h],p[--g])==v&&(d=d.plus(y)),y=y.times(x);for(;g>0;)r(m,p[--g])==v&&(d=d.plus(y)),y=y.times(x);return s.config({precision:b}),0==v&&(d.s=-d.s),d}},function(e,t){e.exports=function(e){if(e.isFinite()&&!e.isInteger())throw new Error("Integer expected in function bitNot");var t=e.constructor,r=t.precision;t.config({precision:1e9});var e=e.plus(t.ONE);return e.s=-e.s||null,t.config({precision:r}),e}},function(e,t,r){"use strict";function n(e,t,n,s){var u=r(29),c=s("bitNot",{number:function(e){if(!o(e))throw new Error("Integer expected in function bitNot");return~e},BigNumber:a,"Array | Matrix":function(e){return i(e,c)}});return c.toTex=u.operators.bitNot+"\\left(${args[0]}\\right)",c}var i=r(19),a=r(382),o=r(6).isInteger;t.name="bitNot",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var s=r(29),u=n(r(50)),c=n(r(52)),f=n(r(53)),l=n(r(54)),p=n(r(55)),m=n(r(56)),h=o("bitOr",{"number, number":function(e,t){if(!i(e)||!i(t))throw new Error("Integers expected in function bitOr");return e|t},"BigNumber, BigNumber":a,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=f(e,t,h);break;default:r=c(t,e,h,!0)}break;default:switch(t.storage()){case"sparse":r=c(e,t,h,!1);break;default:r=p(e,t,h)}}return r},"Array, Array":function(e,t){return h(u(e),u(t)).valueOf()},"Array, Matrix":function(e,t){return h(u(e),t)},"Matrix, Array":function(e,t){return h(e,u(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=l(e,t,h,!1);break;default:r=m(e,t,h,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=l(t,e,h,!0);break;default:r=m(t,e,h,!0)}return r},"Array, any":function(e,t){return m(u(e),t,h,!1).valueOf()},"any, Array":function(e,t){return m(u(t),e,h,!0).valueOf()}});return h.toTex="\\left(${args[0]}"+s.operators.bitOr+"${args[1]}\\right)",h}var i=r(6).isInteger,a=r(385);t.name="bitOr",t.factory=n},function(e,t,r){var n=r(381);e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitOr");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);var i=new r(-1);return e.isZero()||t.eq(i)||e.eq(t)?t:t.isZero()||e.eq(i)?e:e.isFinite()&&t.isFinite()?n(e,t,function(e,t){return e|t}):!e.isFinite()&&!e.isNegative()&&t.isNegative()||e.isNegative()&&!t.isNegative()&&!t.isFinite()?i:e.isNegative()&&t.isNegative()?e.isFinite()?e:t:e.isFinite()?t:e}},function(e,t,r){"use strict";function n(e,t,n,o){var s=r(29),u=n(r(50)),c=n(r(59)),f=n(r(60)),l=n(r(61)),p=n(r(55)),m=n(r(56)),h=o("bitXor",{"number, number":function(e,t){if(!i(e)||!i(t))throw new Error("Integers expected in function bitXor");return e^t},"BigNumber, BigNumber":a,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=f(e,t,h);break;default:r=c(t,e,h,!0)}break;default:switch(t.storage()){case"sparse":r=c(e,t,h,!1);break;default:r=p(e,t,h)}}return r},"Array, Array":function(e,t){return h(u(e),u(t)).valueOf()},"Array, Matrix":function(e,t){return h(u(e),t)},"Matrix, Array":function(e,t){return h(e,u(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=l(e,t,h,!1);break;default:r=m(e,t,h,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=l(t,e,h,!0);break;default:r=m(t,e,h,!0)}return r},"Array, any":function(e,t){return m(u(e),t,h,!1).valueOf()},"any, Array":function(e,t){return m(u(t),e,h,!0).valueOf()}});return h.toTex="\\left(${args[0]}"+s.operators.bitXor+"${args[1]}\\right)",h}var i=r(6).isInteger,a=r(387);t.name="bitXor",t.factory=n},function(e,t,r){var n=r(381),i=r(382);e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitXor");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);if(e.isZero())return t;if(t.isZero())return e;if(e.eq(t))return new r(0);var a=new r(-1);return e.eq(a)?i(t):t.eq(a)?i(e):e.isFinite()&&t.isFinite()?n(e,t,function(e,t){return e^t}):e.isFinite()||t.isFinite()?new r(e.isNegative()==t.isNegative()?1/0:-(1/0)):a}},function(e,t,r){"use strict";function n(e,t,n,o){var s=r(29),u=n(r(50)),c=n(r(47)),f=n(r(373)),l=n(r(52)),p=n(r(354)),m=n(r(390)),h=n(r(54)),g=n(r(84)),v=n(r(55)),d=n(r(56)),y=o("leftShift",{"number, number":function(e,t){if(!i(e)||!i(t))throw new Error("Integers expected in function leftShift");return e<<t},"BigNumber, BigNumber":a,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=m(e,t,y,!1);break;default:r=p(t,e,y,!0)}break;default:switch(t.storage()){case"sparse":r=l(e,t,y,!1);break;default:r=v(e,t,y)}}return r},"Array, Array":function(e,t){return y(u(e),u(t)).valueOf()},"Array, Matrix":function(e,t){return y(u(e),t)},"Matrix, Array":function(e,t){return y(e,u(t))},"Matrix, number | BigNumber":function(e,t){if(!c(t,0)){var r;switch(e.storage()){case"sparse":r=g(e,t,y,!1);break;default:r=d(e,t,y,!1)}return r}return e.clone()},"number | BigNumber, Matrix":function(e,t){if(!c(e,0)){var r;switch(t.storage()){case"sparse":r=h(t,e,y,!0);break;default:r=d(t,e,y,!0)}return r}return f(t.size(),t.storage())},"Array, number | BigNumber":function(e,t){return y(u(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return y(e,u(t)).valueOf()}});return y.toTex="\\left(${args[0]}"+s.operators.leftShift+"${args[1]}\\right)",y}var i=r(6).isInteger,a=r(389);t.name="leftShift",t.factory=n},function(e,t){e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function leftShift");var r=e.constructor;return e.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):e.isZero()||t.isZero()?e:e.isFinite()||t.isFinite()?t.lt(55)?e.times(Math.pow(2,t.toNumber())+""):e.times(new r(2).pow(t)):new r(NaN)}},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(47)),s=e.SparseMatrix,u=function(e,t,r){var n=e._values,u=e._index,c=e._ptr,f=e._size,l=e._datatype,p=t._values,m=t._index,h=t._ptr,g=t._size,v=t._datatype;if(f.length!==g.length)throw new i(f.length,g.length);if(f[0]!==g[0]||f[1]!==g[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+g+")");if(!n||!p)throw new Error("Cannot perform operation on Pattern Sparse Matrices");var d,y=f[0],x=f[1],b=o,w=0,N=r;"string"==typeof l&&l===v&&(d=l,b=a.find(o,[d,d]),w=a.convert(0,d),N=a.find(r,[d,d]));for(var E,M,A,_,O=[],T=[],C=[],S=new s({values:O,index:T,ptr:C,size:[y,x],datatype:d}),z=[],B=[],k=0;x>k;k++){C[k]=T.length;var I=k+1;for(M=c[k],A=c[k+1],E=M;A>E;E++)_=u[E],B[_]=I,z[_]=n[E],T.push(_);for(M=h[k],A=h[k+1],E=M;A>E;E++)_=m[E],B[_]===I&&(z[_]=N(z[_],p[E]));for(E=C[k];E<T.length;){_=T[E];var R=z[_];b(R,w)?T.splice(E,1):(O.push(R),E++)}}return C[x]=T.length,S};return u}var i=r(41);t.name="algorithm08",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var s=r(29),u=n(r(50)),c=n(r(47)),f=n(r(373)),l=n(r(52)),p=n(r(354)),m=n(r(390)),h=n(r(54)),g=n(r(84)),v=n(r(55)),d=n(r(56)),y=o("rightArithShift",{"number, number":function(e,t){if(!i(e)||!i(t))throw new Error("Integers expected in function rightArithShift");return e>>t},"BigNumber, BigNumber":a,"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=m(e,t,y,!1);break;default:r=p(t,e,y,!0)}break;default:switch(t.storage()){case"sparse":r=l(e,t,y,!1);break;default:r=v(e,t,y)}}return r},"Array, Array":function(e,t){return y(u(e),u(t)).valueOf()},"Array, Matrix":function(e,t){return y(u(e),t)},"Matrix, Array":function(e,t){return y(e,u(t))},"Matrix, number | BigNumber":function(e,t){if(!c(t,0)){var r;switch(e.storage()){case"sparse":r=g(e,t,y,!1);break;default:r=d(e,t,y,!1)}return r}return e.clone()},"number | BigNumber, Matrix":function(e,t){if(!c(e,0)){var r;switch(t.storage()){case"sparse":r=h(t,e,y,!0);break;default:r=d(t,e,y,!0)}return r}return f(t.size(),t.storage())},"Array, number | BigNumber":function(e,t){return y(u(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return y(e,u(t)).valueOf()}});return y.toTex="\\left(${args[0]}"+s.operators.rightArithShift+"${args[1]}\\right)",y}var i=r(6).isInteger,a=r(392);t.name="rightArithShift",t.factory=n},function(e,t){e.exports=function(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function rightArithShift");var r=e.constructor;return e.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):e.isZero()||t.isZero()?e:t.isFinite()?t.lt(55)?e.div(Math.pow(2,t.toNumber())+"").floor():e.div(new r(2).pow(t)).floor():new r(e.isNegative()?-1:e.isFinite()?0:NaN)}},function(e,t,r){"use strict";function n(e,t,n,a){var o=r(29),s=n(r(50)),u=n(r(47)),c=n(r(373)),f=n(r(52)),l=n(r(354)),p=n(r(390)),m=n(r(54)),h=n(r(84)),g=n(r(55)),v=n(r(56)),d=a("rightLogShift",{"number, number":function(e,t){if(!i(e)||!i(t))throw new Error("Integers expected in function rightLogShift");return e>>>t},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=p(e,t,d,!1);break;default:r=l(t,e,d,!0)}break;default:switch(t.storage()){case"sparse":r=f(e,t,d,!1);break;default:r=g(e,t,d)}}return r},"Array, Array":function(e,t){return d(s(e),s(t)).valueOf()},"Array, Matrix":function(e,t){return d(s(e),t)},"Matrix, Array":function(e,t){return d(e,s(t))},"Matrix, number | BigNumber":function(e,t){if(!u(t,0)){var r;switch(e.storage()){case"sparse":r=h(e,t,d,!1);break;default:r=v(e,t,d,!1)}return r}return e.clone()},"number | BigNumber, Matrix":function(e,t){if(!u(e,0)){var r;switch(t.storage()){case"sparse":r=m(t,e,d,!0);break;default:r=v(t,e,d,!0)}return r}return c(t.size(),t.storage())},"Array, number | BigNumber":function(e,t){return d(s(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return d(e,s(t)).valueOf()}});return d.toTex="\\left(${args[0]}"+o.operators.rightLogShift+"${args[1]}\\right)",d}var i=r(6).isInteger;t.name="rightLogShift",t.factory=n},function(e,t,r){e.exports=[r(395),r(401),r(396),r(402)]},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(49)),o=n(r(396)),s=n(r(350)),u=n(r(400)),c=i("bellNumbers",{"number | BigNumber":function(e){if(!u(e)||s(e))throw new TypeError("Non-negative integer value expected in function bellNumbers");for(var t=0,r=0;e>=r;r++)t=a(t,o(e,r));return t}});return c.toTex="\\mathrm{B}_{${args[0]}}",c}t.name="bellNumbers",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(49)),o=n(r(74)),s=n(r(83)),u=n(r(310)),c=n(r(79)),f=n(r(397)),l=n(r(399)),p=n(r(350)),m=n(r(400)),h=n(r(62)),g=i("stirlingS2",{"number | BigNumber, number | BigNumber":function(e,t){if(!m(e)||p(e)||!m(t)||p(t))throw new TypeError("Non-negative integer value expected in function stirlingS2");if(h(t,e))throw new TypeError("k must be less than or equal to n in function stirlingS2");for(var r=f(t),n=0,i=0;t>=i;i++){var g=c(-1,o(t,i)),v=l(t,i),d=c(i,e);n=a(n,s(s(v,d),g))}return u(n,r)}});return g.toTex="\\mathrm{S}\\left(${args[0]},${args[1]}\\right)",g}t.name="stirlingS2",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(398)),s=r(29),u=a("factorial",{number:function(e){if(0>e)throw new Error("Value must be non-negative");return o(e+1)},BigNumber:function(e){if(e.isNegative())throw new Error("Value must be non-negative");return o(e.plus(1))},"Array | Matrix":function(e){return i(e,u)}});return u.toTex="\\left(${args[0]}\\right)"+s.operators.factorial,u}var i=r(19);r(93);t.name="factorial",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,u){function c(r){if(r.isZero())return new e.BigNumber(1);for(var n=t.precision+(0|Math.log(r.toNumber())),i=e.BigNumber.constructor({precision:n}),a=new i(r),o=r.toNumber()-1;o>1;)a=a.times(o),o--;return new e.BigNumber(a.toPrecision(e.BigNumber.precision))}var f=n(r(83)),l=n(r(79)),p=u("gamma",{number:function(e){var t,r;if(a(e)){if(0>=e)return isFinite(e)?1/0:NaN;if(e>171)return 1/0;for(var n=e-2,i=e-1;n>1;)i*=n,n--;return 0==i&&(i=1),i}if(.5>e)return Math.PI/(Math.sin(Math.PI*e)*p(1-e));if(e>=171.35)return 1/0;if(e>85){var u=e*e,c=u*e,f=c*e,l=f*e;return Math.sqrt(2*Math.PI/e)*Math.pow(e/Math.E,e)*(1+1/(12*e)+1/(288*u)-139/(51840*c)-571/(2488320*f)+163879/(209018880*l)+5246819/(75246796800*l*e));