$1.)$ Add a left$-$associative # operator, at lower precedence than any of the others.

This is an imaginary new perator that adds the second number$+1.$

$2.)$ Then add a right$-$associative $<$ operator, at higher precedence than any

of the others except $()$ and $-.$ This operator is also imaginary, but it is

the equivelent of the $^.$ I.e$,3^4=3<4=$ powf$(3,4)$

Note: to do $<$ use powf. You will need to include:

#include

Note: These operators must come last in your $.$l file. I.e:

$[-+()*/$#$<]\{$return yytext$[0]$;$\}$

Build of off this code :

$\%\{$

#include

#include

extern int yylex$()$;

void yyerror$($char $*$msg$)$;

$\%\}$

$\%$union $\{$

float f;

$\}$

$\%$token NUM

$\%$type E T F

$\%\%$

S : E $\{$printf$("\%$f

$",$ $$1)$;$\}$

;

E : E $\text{'}+\text{'}$ T $\{$$$ $=$ $$1+$ $$3$; printf$("\%$f $+\%$f

$",$ $$1,$ $$3)$;$\}$

$|$ E $\text{'}-\text{'}$ T $\{$$$ $=$ $$1-$ $$3$; printf$("\%$f $-\%$f

$",$ $$1,$ $$3)$;$\}$

$|$ T $\{$$$ $=$ $$1$; printf$("\%$f

$",$ $$1)$;$\}$

;

T : T $\text{'}*\text{'}$ F $\{$$$ $=$ $$1*$ $$3$; printf$("\%$f $*\%$f

$",$ $$1,$ $$3)$;$\}$

$|$ T $\text{'}/\text{'}$ F $\{$$$ $=$ $$1/$ $$3$; printf$("\%$f $/\%$f

$",$ $$1,$ $$3)$;$\}$

$|$ F $\{$$$ $=$ $$1$; printf$("\%$f

$",$ $$1)$;$\}$

;

F : $\text{'}(\text{'}$ E $\text{'})\text{'}\{$$$ $=$ $$2$; printf$("(\%$f$)$

$",$ $$2)$;$\}$

$|\text{'}-\text{'}$ F $\{$$$ $=-$$$2$; printf$("\%$f

$",-$$$2)$;$\}$

$|$ NUM $\{$$$ $=$ $$1$; printf$("\%$f

$",$ $$1)$;$\}$

;

$\%\%$

void yyerror$($char $*$msg$)\{$

fprintf$($stderr$,"\%$s

$",$ msg$)$;

exit$(1)$;

$\}$

int main$()\{$

return yyparse$()$;

$\}$