mathjslab/lib/mathjslab.web.umd2022.js

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

/*! For license information please see mathjslab.web.umd2022.js.LICENSE.txt */
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r=T.MathOperation.copy(this.nameTable[t.id]);return this.nameTable[t.id]=T.MathOperation[e](this.nameTable[t.id],_.ComplexDecimal.one()),r}throw new EvalError("in x++ or ++x, x must be defined first.")}throw new SyntaxError(`invalid ${"plus"===e?"increment":"decrement"} variable.`)}}opTable={"+":T.MathOperation.plus,"-":T.MathOperation.minus,".*":T.MathOperation.times,"*":T.MathOperation.mtimes,"./":T.MathOperation.rdivide,"/":T.MathOperation.mrdivide,".\\":T.MathOperation.ldivide,"\\":T.MathOperation.mldivide,".^":T.MathOperation.power,"^":T.MathOperation.mpower,"+_":T.MathOperation.uplus,"-_":T.MathOperation.uminus,".'":T.MathOperation.transpose,"'":T.MathOperation.ctranspose,"<":T.MathOperation.lt,"<=":T.MathOperation.le,"==":T.MathOperation.eq,">=":T.MathOperation.ge,">":T.MathOperation.gt,"!=":T.MathOperation.ne,"&":T.MathOperation.and,"|":T.MathOperation.or,"!":T.MathOperation.not,"&&":T.MathOperation.mand,"||":T.MathOperation.mor,"++_":this.incDecOp(!0,"plus"),"--_":this.incDecOp(!0,"minus"),"_++":this.incDecOp(!1,"plus"),"_--":this.incDecOp(!1,"minus")};static precedence=[["min","=","+=","-=","*=","/=","\\="],["||"],["&&"],["|"],["&"],["!=","<",">","<=",">="],["+","-"],[".*","*","./","/",".\\","\\"],["^",".**","**",".'","'"],["!","~","-_","+_"],["preMax","_.^","_.**","_^","_**","__.'","__'","__++"],["max","()","IDENT","ENDRANGE",":","<~>","."]];precedenceTable;nodePrecedence(t){if("number"==typeof t.type)return t instanceof _.ComplexDecimal?_.ComplexDecimal.precedence(t,this):this.precedenceTable.max;if("IDX"===t.type){const e=this.aliasName(t.expr.id);return"IDENT"===t.expr.type&&e in this.builtInFunctionTable&&(this.builtInFunctionTable[e].unparserMathML||e in A.MathML.format)?this.precedenceTable.max:this.precedenceTable.preMax}return"RANGE"===t.type?t.start_&&t.stop_?this.precedenceTable.min:this.precedenceTable.max:this.precedenceTable[t.type]||0}functions={unparse:t=>new f.CharString(this.Unparse(t))};unparseString=f.CharString.unparse;unparseStringMathML=f.CharString.unparseMathML;newNumber=_.ComplexDecimal.newThis;unparseNumber=_.ComplexDecimal.unparse;unparseNumberMathML=_.ComplexDecimal.unparseMathML;isRowVector=g.MultiArray.isRowVector;unparseArray=g.MultiArray.unparse;unparseStructure=y.Structure.unparse;unparseStructureMathML=y.Structure.unparseMathML;newFunctionHandle=C.FunctionHandle.newThis;unparseFunctionHandle=C.FunctionHandle.unparse;unparseFunctionHandleMathML=C.FunctionHandle.unparseMathML;unparseArrayMathML=g.MultiArray.unparseMathML;evaluateArray=g.MultiArray.evaluate;mapArray=g.MultiArray.rawMap;getElements=g.MultiArray.getElements;getElementsLogical=g.MultiArray.getElementsLogical;setElements=g.MultiArray.setElements;setElementsLogical=g.MultiArray.setElementsLogical;expandRange=g.MultiArray.expandRange;expandColon=g.MultiArray.expandColon;array0x0=g.MultiArray.emptyArray;linearize=g.MultiArray.linearize;scalarToArray=g.MultiArray.scalarToMultiArray;scalarOrCellToArray=g.MultiArray.scalarOrCellToMultiArray;arrayToScalar=g.MultiArray.MultiArrayToScalar;linearLength=g.MultiArray.linearLength;getDimension=g.MultiArray.getDimension;toLogical=g.MultiArray.toLogical;getFields=y.Structure.getFields;setNewField=y.Structure.setNewField;unparseMathMLFunctions={logb:t=>{let e=this.unparserMathML(t.args[1]);return this.nodePrecedence(t.args[1])<this.precedenceTable.max&&(e=A.MathML.format["()"]("(",e,")")),A.MathML.format.logb(this.unparserMathML(t.args[0]),e)},log2:t=>{let e=this.unparserMathML(t.args[0]);return this.nodePrecedence(t.args[0])<this.precedenceTable.max&&(e=A.MathML.format["()"]("(",e,")")),A.MathML.format.log2(e)},log10:t=>{let e=this.unparserMathML(t.args[0]);return this.nodePrecedence(t.args[0])<this.precedenceTable.max&&(e=A.MathML.format["()"]("(",e,")")),A.MathML.format.log10(e)},factorial:t=>{let e=this.unparserMathML(t.args[0]);return this.nodePrecedence(t.args[0])<this.precedenceTable.max&&(e=A.MathML.format["()"]("(",e,")")),A.MathML.format.factorial(e)}};aliasName=t=>t;constructor(t){this.exitStatus=this.response.OK,this.precedenceTable={},N.precedence.forEach((t,e)=>{t.forEach(t=>{this.precedenceTable[t]=e+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 t in this.functions)this.defineFunction(t,this.functions[t]);for(const t in T.MathOperation.leftAssociativeMultipleOperations)this.defineLeftAssociativeMultipleOperationFunction(t,T.MathOperation.leftAssociativeMultipleOperations[t]);for(const t in T.MathOperation.binaryOperations)this.defineBinaryOperatorFunction(t,T.MathOperation.binaryOperations[t]);for(const t in T.MathOperation.unaryOperations)this.defineUnaryOperatorFunction(t,T.MathOperation.unaryOperations[t]);for(const t in _.ComplexDecimal.mapFunction)this.defineFunction(t,_.ComplexDecimal.mapFunction[t],!0);for(const t in _.ComplexDecimal.twoArgFunction)this.defineFunction(t,_.ComplexDecimal.twoArgFunction[t]);for(const t in L.Configuration.functions)this.defineFunction(t,L.Configuration.functions[t]);for(const t in E.CoreFunctions.functions)this.defineFunction(t,E.CoreFunctions.functions[t]);for(const t in x.LinearAlgebra.functions)this.defineFunction(t,x.LinearAlgebra.functions[t]);for(const t in this.unparseMathMLFunctions)this.builtInFunctionTable[t].unparserMathML=this.unparseMathMLFunctions[t];t?(t.aliasNameTable?(this.aliasNameTable=t.aliasNameTable,this.aliasName=t=>{let e=!1,r="";for(const i in this.aliasNameTable)if(this.aliasNameTable[i].test(t)){e=!0,r=i;break}return e?r:t}):this.aliasName=t=>t,t.externalFunctionTable&&Object.assign(this.builtInFunctionTable,t.externalFunctionTable),t.externalCmdWListTable&&Object.assign(this.commandWordListTable,t.externalCmdWListTable)):this.aliasName=t=>t}Parse(t){const e=l.CharStreams.fromString(t),r=new c.default(e);r.commandNames=Object.keys(this.commandWordListTable);const i=new l.CommonTokenStream(r),n=new h.default(i);return n.buildParseTrees=!0,r.removeErrorListeners(),r.addErrorListener(new u.LexerErrorListener),n.removeErrorListeners(),n.addErrorListener(new d.ParserErrorListener),this.debug,n.input().node}loadNativeTable(){for(const t in this.nativeNameTable)this.nameTable[t]=this.nativeNameTable[t]}Restart(){this.nameTable={},this.localTable={},this.loadNativeTable()}Clear(...t){0===t.length?this.Restart():t.forEach(t=>{delete this.nameTable[t],delete this.builtInFunctionTable[t],this.nativeNameTableList.includes(t)&&(this.nameTable[t]=this.nativeNameTable[t])})}static throwErrorIfGreaterThanReturnList(t,e){if(e>t)throw new EvalError(`element number ${t+1} undefined in return list`)}reduceIfReturnList(t){if("RETLIST"===t.type){const e=t.selector(1,0);return e.parent=t.parent,e}return t}validateAssignment(t,e,r,i){const n="invalid left hand side of assignment";if("IDENT"===t.type)return[{id:t.id,index:[],field:[]}];if("IDX"===t.type&&"IDENT"===t.expr.type)return[{id:t.expr.id,index:t.args,field:[]}];if("."===t.type){const e=t.field.map(t=>{if("string"==typeof t)return t;{const e=this.reduceIfReturnList(this.Evaluator(t,r,i));if(e instanceof f.CharString)return e.str;throw new EvalError(`${n}: dynamic structure field names must be strings.`)}});if("IDENT"===t.obj.type)return[{id:t.obj.id,index:[],field:e}];if("IDX"===t.obj.type&&"IDENT"===t.obj.expr.type)return[{id:t.obj.expr.id,index:t.obj.args,field:e}];throw new EvalError(`${n}.`)}if("<~>"===t.type)return[{id:"~",index:[],field:[]}];if(e&&this.isRowVector(t))return t.array[0].map(t=>this.validateAssignment(t,!1,r,i)[0]);throw new EvalError(`${n}.`)}defineFunction(t,e,r=!1,i=[]){this.builtInFunctionTable[t]={type:"BUILTIN",mapper:r,ev:i,func:e}}defineUnaryOperatorFunction(t,e){this.builtInFunctionTable[t]={type:"BUILTIN",mapper:!1,ev:[],func:(...r)=>{if(1===r.length)return e(r[0]);throw new EvalError(`Invalid call to ${t}. Type 'help ${t}' to see correct usage.`)}}}defineBinaryOperatorFunction(t,e){this.builtInFunctionTable[t]={type:"BUILTIN",mapper:!1,ev:[],func:(r,...i)=>{if(1===i.length)return e(r,i[0]);throw new EvalError(`Invalid call to ${t}. Type 'help ${t}' to see correct usage.`)}}}defineLeftAssociativeMultipleOperationFunction(t,e){this.builtInFunctionTable[t]={type:"BUILTIN",mapper:!1,ev:[],func:(r,...i)=>{if(1===i.length)return e(r,i[0]);if(i.length>1){let t=e(r,i[0]);for(let r=1;r<i.length;r++)t=e(t,i[r]);return t}throw new EvalError(`Invalid call to ${t}. Type 'help ${t}' to see correct usage.`)}}}toBoolean(t){const e=t instanceof g.MultiArray?this.toLogical(t):t;return e instanceof _.ComplexDecimal?Boolean(e.re.toNumber()||e.im.toNumber()):!!e.str}Evaluator(t,e=!1,r=""){if(this.debug&&console.log(`Evaluator(\ntree:${JSON.stringify(t,(t,e)=>"parent"!==t?e:null!==e||"root",2)},\nlocal:${e},\nfname:${r});`),!t)return null;if(t instanceof _.ComplexDecimal||t instanceof C.FunctionHandle||t instanceof f.CharString||t instanceof y.Structure)return t;if(t instanceof g.MultiArray)return this.evaluateArray(t,this,e,r);switch(t.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 t.left.parent=t,t.right.parent=t,this.opTable[t.type](this.reduceIfReturnList(this.Evaluator(t.left,e,r)),this.reduceIfReturnList(this.Evaluator(t.right,e,r)));case"()":return t.right.parent=t,this.reduceIfReturnList(this.Evaluator(t.right,e,r));case"!":case"~":case"+_":case"-_":return t.right.parent=t,this.opTable[t.type](this.reduceIfReturnList(this.Evaluator(t.right,e,r)));case"++_":case"--_":return t.right.parent=t,this.opTable[t.type](t.right);case".'":case"'":return t.left.parent=t,this.opTable[t.type](this.reduceIfReturnList(this.Evaluator(t.left,e,r)));case"_++":case"_--":return t.left.parent=t,this.opTable[t.type](t.left);case"=":case"+=":case"-=":case"*=":case"/=":case"\\=":case"^=":case"**=":case".*=":case"./=":case".\\=":case".^=":case".**=":case"&=":case"|=":{t.left.parent=t,t.right.parent=t;const i=this.validateAssignment(t.left,!0,e,r),n=t.type.substring(0,t.type.length-1);if(i.length>1&&n.length>0)throw new EvalError("computed multiple assignment not allowed.");let s;try{s=this.Evaluator(t.right,!1,r)}catch{s=t.right}"RETLIST"!==s.type&&(s=p.nodeReturnList((e,r)=>{if(0===r)return t.right;throw new EvalError(`element number ${r+1} undefined in return list`)}));const a=p.nodeListFirst();for(let o=0;o<i.length;o++){const{id:l,index:c,field:h}=i[o];if("~"!==l)if(0===c.length){"RETLIST"!==s.type&&(s=this.Evaluator(s,!1,r));const e=s.selector(i.length,o);e.parent=t.right;const c=n.length?p.nodeOp(n,p.nodeIdentifier(l),e):e;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(t){throw this.nameTable[l]=c,t}}else{if(n){if(void 0!==this.nameTable[l]){if(this.nameTable[l]instanceof C.FunctionHandle)throw new EvalError("can't perform indexed assignment for function handle type.");if(1===c.length){const t=this.reduceIfReturnList(this.Evaluator(c[0],e,r));t instanceof g.MultiArray&&t.type===_.ComplexDecimal.LOGICAL?this.setElementsLogical(this.nameTable,l,h,this.linearize(t),this.scalarToArray(this.reduceIfReturnList(this.Evaluator(p.nodeOp(n,th