Javascript-从字符串解析多项式 [英] Javascript - Parse Polynomials From String
问题描述
我只是在Objective-c 此处询问过此问题,但需要答案很快,并且能够使用Objective-C或javascript进行解析,因此我将在此处询问js.
I Just Asked this question for objective-c here, but need the answer quick and am able to do the parsing in either objective-c or javascript, so I will ask for js here.
在我的应用程序中,用户将以字符串形式输入数学表达式,例如n*3/7+9-5
,我需要能够从该字符串中获得多项式,例如4, 3/7, 0, 0, 0, 0
,有没有办法做到这一点或将在javascript中执行此操作的库?我正在使用节点,因此最好是与节点兼容的东西.
In my app the user will be inputting a mathematical expression as a string, such as n*3/7+9-5
, and I need to be able to get the polynomials from that string, like 4, 3/7, 0, 0, 0, 0
, is there a way to do this or a library that will do this in javascript? I am using node, so preferably something that is node compatible.
我已经在Google上进行了一些研究,但似乎一无所获,而且我也不知道该如何亲自编写.
I have done some research on google, but there appears to be nothing, and I have no idea how to go about writing it myself.
推荐答案
您也可以在线尝试 http://zaach.github.io/jison/try/
计算器语法是这样的,我也在学习,这有点难以理解
calculator grammer is like this I am also learning this it is little bit difficult to understand
来自 http://zaach.github.io/jison/try/:
From http://zaach.github.io/jison/try/ :
/* description: Parses end executes mathematical expressions. */
/* lexical grammar */
%lex
%%
\s+ /* skip whitespace */
[0-9]+("."[0-9]+)?\b return 'NUMBER'
"*" return '*'
"/" return '/'
"-" return '-'
"+" return '+'
"^" return '^'
"!" return '!'
"%" return '%'
"(" return '('
")" return ')'
"PI" return 'PI'
"E" return 'E'
<<EOF>> return 'EOF'
. return 'INVALID'
/lex
/* operator associations and precedence */
%left '+' '-'
%left '*' '/'
%left '^'
%right '!'
%right '%'
%left UMINUS
%start expressions
%% /* language grammar */
expressions
: e EOF
{ typeof console !== 'undefined' ? console.log($1) : print($1);
return $1; }
;
e
: e '+' e
{$$ = $1+$3;}
| e '-' e
{$$ = $1-$3;}
| e '*' e
{$$ = $1*$3;}
| e '/' e
{$$ = $1/$3;}
| e '^' e
{$$ = Math.pow($1, $3);}
| e '!'
{{
$$ = (function fact (n) { return n==0 ? 1 : fact(n-1) * n })($1);
}}
| e '%'
{$$ = $1/100;}
| '-' e %prec UMINUS
{$$ = -$2;}
| '(' e ')'
{$$ = $2;}
| NUMBER
{$$ = Number(yytext);}
| E
{$$ = Math.E;}
| PI
{$$ = Math.PI;}
;
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