mathjslab/lib/mathjslab.node.cjs2015.js

MathJSLab - An interpreter with language syntax like MATLAB®/Octave, ISBN 978-65-00-82338-7.

/*! For license information please see mathjslab.node.cjs2015.js.LICENSE.txt */
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f.CharString(e)]),r}},__keywords__:{func:(...e)=>{const t=c.default.keywordNames.slice(1).sort(),r=new g.MultiArray([t.length,1],null,!0);return r.array=t.map(e=>[new f.CharString(e)]),r}},__builtins__:{func:(...e)=>{const t=new g.MultiArray([this.builtInFunctionList.length,1],null,!0);return t.array=this.builtInFunctionList.sort().map(e=>[new f.CharString(e)]),t}},__list_functions__:{func:(...e)=>g.MultiArray.emptyArray(!0)},localfunctions:{func:(...e)=>g.MultiArray.emptyArray(!0)},__dump_symtab_info__:{func:(...e)=>g.MultiArray.emptyArray(!0)}},this.opTable={"+":L.MathOperation.plus,"-":L.MathOperation.minus,".*":L.MathOperation.times,"*":L.MathOperation.mtimes,"./":L.MathOperation.rdivide,"/":L.MathOperation.mrdivide,".\\":L.MathOperation.ldivide,"\\":L.MathOperation.mldivide,".^":L.MathOperation.power,"^":L.MathOperation.mpower,"+_":L.MathOperation.uplus,"-_":L.MathOperation.uminus,".'":L.MathOperation.transpose,"'":L.MathOperation.ctranspose,"<":L.MathOperation.lt,"<=":L.MathOperation.le,"==":L.MathOperation.eq,">=":L.MathOperation.ge,">":L.MathOperation.gt,"!=":L.MathOperation.ne,"&":L.MathOperation.and,"|":L.MathOperation.or,"!":L.MathOperation.not,"&&":L.MathOperation.mand,"||":L.MathOperation.mor,"++_":this.incDecOp(!0,"plus"),"--_":this.incDecOp(!0,"minus"),"_++":this.incDecOp(!1,"plus"),"_--":this.incDecOp(!1,"minus")},this.functions={unparse:e=>new f.CharString(this.Unparse(e))},this.unparseString=f.CharString.unparse,this.unparseStringMathML=f.CharString.unparseMathML,this.newNumber=_.ComplexDecimal.newThis,this.unparseNumber=_.ComplexDecimal.unparse,this.unparseNumberMathML=_.ComplexDecimal.unparseMathML,this.isRowVector=g.MultiArray.isRowVector,this.unparseArray=g.MultiArray.unparse,this.unparseStructure=y.Structure.unparse,this.unparseStructureMathML=y.Structure.unparseMathML,this.newFunctionHandle=A.FunctionHandle.newThis,this.unparseFunctionHandle=A.FunctionHandle.unparse,this.unparseFunctionHandleMathML=A.FunctionHandle.unparseMathML,this.unparseArrayMathML=g.MultiArray.unparseMathML,this.evaluateArray=g.MultiArray.evaluate,this.mapArray=g.MultiArray.rawMap,this.getElements=g.MultiArray.getElements,this.getElementsLogical=g.MultiArray.getElementsLogical,this.setElements=g.MultiArray.setElements,this.setElementsLogical=g.MultiArray.setElementsLogical,this.expandRange=g.MultiArray.expandRange,this.expandColon=g.MultiArray.expandColon,this.array0x0=g.MultiArray.emptyArray,this.linearize=g.MultiArray.linearize,this.scalarToArray=g.MultiArray.scalarToMultiArray,this.scalarOrCellToArray=g.MultiArray.scalarOrCellToMultiArray,this.arrayToScalar=g.MultiArray.MultiArrayToScalar,this.linearLength=g.MultiArray.linearLength,this.getDimension=g.MultiArray.getDimension,this.toLogical=g.MultiArray.toLogical,this.getFields=y.Structure.getFields,this.setNewField=y.Structure.setNewField,this.unparseMathMLFunctions={logb:e=>{let t=this.unparserMathML(e.args[1]);return this.nodePrecedence(e.args[1])<this.precedenceTable.max&&(t=C.MathML.format["()"]("(",t,")")),C.MathML.format.logb(this.unparserMathML(e.args[0]),t)},log2:e=>{let t=this.unparserMathML(e.args[0]);return this.nodePrecedence(e.args[0])<this.precedenceTable.max&&(t=C.MathML.format["()"]("(",t,")")),C.MathML.format.log2(t)},log10:e=>{let t=this.unparserMathML(e.args[0]);return this.nodePrecedence(e.args[0])<this.precedenceTable.max&&(t=C.MathML.format["()"]("(",t,")")),C.MathML.format.log10(t)},factorial:e=>{let t=this.unparserMathML(e.args[0]);return this.nodePrecedence(e.args[0])<this.precedenceTable.max&&(t=C.MathML.format["()"]("(",t,")")),C.MathML.format.factorial(t)}},this.aliasName=e=>e,this.exitStatus=this.response.OK,this.precedenceTable={},N.precedence.forEach((e,t)=>{e.forEach(e=>{this.precedenceTable[e]=t+1})}),this.opTable["**"]=this.opTable["^"],this.precedenceTable["**"]=this.precedenceTable["^"],this.opTable[".**"]=this.opTable[".^"],this.precedenceTable[".**"]=this.precedenceTable[".^"],this.precedenceTable["_**"]=this.precedenceTable["_^"],this.precedenceTable["_.**"]=this.precedenceTable["_.^"],this.opTable["~="]=this.opTable["!="],this.precedenceTable["~="]=this.precedenceTable["!="],this.opTable["~"]=this.opTable["!"],this.precedenceTable["~"]=this.precedenceTable["!"],this.loadNativeTable();for(const e in this.functions)this.defineFunction(e,this.functions[e]);for(const e in L.MathOperation.leftAssociativeMultipleOperations)this.defineLeftAssociativeMultipleOperationFunction(e,L.MathOperation.leftAssociativeMultipleOperations[e]);for(const e in L.MathOperation.binaryOperations)this.defineBinaryOperatorFunction(e,L.MathOperation.binaryOperations[e]);for(const e in L.MathOperation.unaryOperations)this.defineUnaryOperatorFunction(e,L.MathOperation.unaryOperations[e]);for(const e in _.ComplexDecimal.mapFunction)this.defineFunction(e,_.ComplexDecimal.mapFunction[e],!0);for(const e in _.ComplexDecimal.twoArgFunction)this.defineFunction(e,_.ComplexDecimal.twoArgFunction[e]);for(const e in T.Configuration.functions)this.defineFunction(e,T.Configuration.functions[e]);for(const e in x.CoreFunctions.functions)this.defineFunction(e,x.CoreFunctions.functions[e]);for(const e in E.LinearAlgebra.functions)this.defineFunction(e,E.LinearAlgebra.functions[e]);for(const e in this.unparseMathMLFunctions)this.builtInFunctionTable[e].unparserMathML=this.unparseMathMLFunctions[e];e?(e.aliasNameTable?(this.aliasNameTable=e.aliasNameTable,this.aliasName=e=>{let t=!1,r="";for(const n in this.aliasNameTable)if(this.aliasNameTable[n].test(e)){t=!0,r=n;break}return t?r:e}):this.aliasName=e=>e,e.externalFunctionTable&&Object.assign(this.builtInFunctionTable,e.externalFunctionTable),e.externalCmdWListTable&&Object.assign(this.commandWordListTable,e.externalCmdWListTable)):this.aliasName=e=>e}Parse(e){const t=l.CharStreams.fromString(e),r=new c.default(t);r.commandNames=Object.keys(this.commandWordListTable);const n=new l.CommonTokenStream(r),i=new h.default(n);return i.buildParseTrees=!0,r.removeErrorListeners(),r.addErrorListener(new u.LexerErrorListener),i.removeErrorListeners(),i.addErrorListener(new d.ParserErrorListener),this.debug,i.input().node}loadNativeTable(){for(const e in this.nativeNameTable)this.nameTable[e]=this.nativeNameTable[e]}Restart(){this.nameTable={},this.localTable={},this.loadNativeTable()}Clear(...e){0===e.length?this.Restart():e.forEach(e=>{delete this.nameTable[e],delete this.builtInFunctionTable[e],this.nativeNameTableList.includes(e)&&(this.nameTable[e]=this.nativeNameTable[e])})}static throwErrorIfGreaterThanReturnList(e,t){if(t>e)throw new EvalError(`element number ${e+1} undefined in return list`)}reduceIfReturnList(e){if("RETLIST"===e.type){const t=e.selector(1,0);return t.parent=e.parent,t}return e}validateAssignment(e,t,r,n){const i="invalid left hand side of assignment";if("IDENT"===e.type)return[{id:e.id,index:[],field:[]}];if("IDX"===e.type&&"IDENT"===e.expr.type)return[{id:e.expr.id,index:e.args,field:[]}];if("."===e.type){const t=e.field.map(e=>{if("string"==typeof e)return e;{const t=this.reduceIfReturnList(this.Evaluator(e,r,n));if(t instanceof f.CharString)return t.str;throw new EvalError(`${i}: dynamic structure field names must be strings.`)}});if("IDENT"===e.obj.type)return[{id:e.obj.id,index:[],field:t}];if("IDX"===e.obj.type&&"IDENT"===e.obj.expr.type)return[{id:e.obj.expr.id,index:e.obj.args,field:t}];throw new EvalError(`${i}.`)}if("<~>"===e.type)return[{id:"~",index:[],field:[]}];if(t&&this.isRowVector(e))return e.array[0].map(e=>this.validateAssignment(e,!1,r,n)[0]);throw new EvalError(`${i}.`)}defineFunction(e,t,r=!1,n=[]){this.builtInFunctionTable[e]={type:"BUILTIN",mapper:r,ev:n,func:t}}defineUnaryOperatorFunction(e,t){this.builtInFunctionTable[e]={type:"BUILTIN",mapper:!1,ev:[],func:(...r)=>{if(1===r.length)return t(r[0]);throw new EvalError(`Invalid call to ${e}. Type 'help ${e}' to see correct usage.`)}}}defineBinaryOperatorFunction(e,t){this.builtInFunctionTable[e]={type:"BUILTIN",mapper:!1,ev:[],func:(r,...n)=>{if(1===n.length)return t(r,n[0]);throw new EvalError(`Invalid call to ${e}. Type 'help ${e}' to see correct usage.`)}}}defineLeftAssociativeMultipleOperationFunction(e,t){this.builtInFunctionTable[e]={type:"BUILTIN",mapper:!1,ev:[],func:(r,...n)=>{if(1===n.length)return t(r,n[0]);if(n.length>1){let e=t(r,n[0]);for(let r=1;r<n.length;r++)e=t(e,n[r]);return e}throw new EvalError(`Invalid call to ${e}. Type 'help ${e}' to see correct usage.`)}}}toBoolean(e){const t=e instanceof g.MultiArray?this.toLogical(e):e;return t instanceof _.ComplexDecimal?Boolean(t.re.toNumber()||t.im.toNumber()):!!t.str}Evaluator(e,t=!1,r=""){if(this.debug&&console.log(`Evaluator(\ntree:${JSON.stringify(e,(e,t)=>"parent"!==e?t:null!==t||"root",2)},\nlocal:${t},\nfname:${r});`),!e)return null;if(e instanceof _.ComplexDecimal||e instanceof A.FunctionHandle||e instanceof f.CharString||e instanceof y.Structure)return e;if(e instanceof g.MultiArray)return this.evaluateArray(e,this,t,r);switch(e.type){case"+":case"-":case".*":case"*":case"./":case"/":case".\\":case"\\":case".^":case"^":case".**":case"**":case"<":case"<=":case"==":case">=":case">":case"!=":case"~=":case"&":case"|":case"&&":case"||":return e.left.parent=e,e.right.parent=e,this.opTable[e.type](this.reduceIfReturnList(this.Evaluator(e.left,t,r)),this.reduceIfReturnList(this.Evaluator(e.right,t,r)));case"()":return e.right.parent=e,this.reduceIfReturnList(this.Evaluator(e.right,t,r));case"!":case"~":case"+_":case"-_":return e.right.parent=e,this.opTable[e.type](this.reduceIfReturnList(this.Evaluator(e.right,t,r)));case"++_":case"--_":return e.right.parent=e,this.opTable[e.type](e.right);case".'":case"'":return e.left.parent=e,this.opTable[e.type](this.reduceIfReturnList(this.Evaluator(e.left,t,r)));case"_++":case"_--":return e.left.parent=e,this.opTable[e.type](e.left);case"=":case"+=":case"-=":case"*=":case"/=":case"\\=":case"^=":case"**=":case".*=":case"./=":case".\\=":case".^=":case".**=":case"&=":case"|=":{e.left.parent=e,e.right.parent=e;const n=this.validateAssignment(e.left,!0,t,r),i=e.type.substring(0,e.type.length-1);if(n.length>1&&i.length>0)throw new EvalError("computed multiple assignment not allowed.");let s;try{s=this.Evaluator(e.right,!1,r)}catch(t){s=e.right}"RETLIST"!==s.type&&(s=p.nodeReturnList((t,r)=>{if(0===r)return e.right;throw new EvalError(`element number ${r+1} undefined in return list`)}));const a=p.nodeListFirst();for(let o=0;o<n.length;o++){const{id:l,index:c,field:h}=n[o];if("~"!==l)if(0===c.length){"RETLIST"!==s.type&&(s=this.Evaluator(s,!1,r));const t=s.selector(n.length,o);t.parent=e.right;const c=i.length?p.nodeOp(i,p.nodeIdentifier(l),t):t;try{if(h.length>0){if(void 0===this.nameTable[l]&&(this.nameTable[l]=new y.Structure({})),!(this.nameTable[l]instanceof y.Structure))throw new EvalError("in indexed assignment.");this.setNewField(this.nameTable[l],h,this.reduceIfReturnList(this.Evaluator(c))),p.appendNodeList(a,p.nodeOp("=",p.nodeIdentifier(l),this.nameTable[l]))}else this.nameTable[l]=this.reduceIfReturnList(this.Evaluator(c)),p.appendNodeList(a,p.nodeOp("=",p.nodeIdentifier(l),this.nameTable[l]));continue}catch(e){throw this.nameTable[l]=c,e}}else{if(i){if(void 0!==this.nameTable[l]){if(this.nameTable[l]instanceof A.FunctionHandle)throw new EvalError("can't perform indexed assignment for function handle type.");if(1===c.length){const e=this.reduceIfReturnList(this.Evaluator(c[0],t,r));e instanceof g.MultiArray&&e.type===_.ComplexDecimal.LOGICAL?this.setElementsLogical(this.nameTable,l,h,this.linearize(e),this.scalarToArray(this.reduceIfReturnList(this.Evaluator(p.nodeOp(i,this.getElementsLogical(this.nameTable[l],l,h,e),this.scalarToArray(this.reduceIfReturnList(this.Evaluator(s.selector(n.length,o))))),!1,r)))):this.setElements(this.nameTable,l,h,[e],this.scalarToArray(this.reduceIfReturnList(this.Evaluator(p.nodeOp(i,this.getElements(this.nameTable[l],l,h,[e]),this.scalarToArray(this.reduceIfReturnList(th