📄 中序式轉後序式（前序式）.mht
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<H1><A=20
href=3D"http://www.java3z.com/cwbwebhome/article/article3/AlgorithmGossip=
/AlgorithmGossip.htm">Algorithm=20
Gossip: =
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=A1A=A8=D2=A6pa+b/d=B3o=BC=CB=AA=BA=A6=A1=A4l=A1A=B3o=BA=D9=A4=A7=AC=B0=A4=
=A4=A7=C7=A1]Infix=A1^=AA=ED=A5=DC=A6=A1=A1A=B9=EF=A9=F3=A4H=C3=FE=A8=D3=BB=
=A1=A1A=B3o=BC=CB=AA=BA=A6=A1=A4l=AB=DC=AEe=A9=F6=B2z=B8=D1=A1A=A6=FD=A5=D1=
=A9=F3=B9q=B8=A3=B0=F5=A6=E6=AB=FC=A5O=AE=C9=ACO=A6=B3=B6=B6=A7=C7=AA=BA=A1=
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=A1]Postfix=A1^=AA=ED=A5=DC=A6=A1=A1A=AB=E1=A7=C7=AA=ED=A5=DC=A6=A1=A4S=BA=
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<DIV style=3D"MARGIN-LEFT: 40px"><SPAN=20
style=3D"FONT-WEIGHT: bold; FONT-FAMILY: Courier =
New,Courier,monospace">a+b*d+c/d=20
=3D> ((a+(b*d))+(c/d)) ->=20
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<BR><PRE>Procedure Postfix(infix) [<BR> Loop [<BR> op =3D =
infix(i) <BR> case [<BR> :x =3D '\0': <BR> =
while (stack not empty) <BR> // output all =
elements in stack <BR> end <BR> return =
<BR> :x =3D '(': <BR> // put it into stack =
<BR> :x is operator: <BR> while =
(priority(stack[top]) >=3D <BR> priority(op)) =
[<BR> // out a element from stack <BR> =
]<BR> // save op into stack <BR> :x =
=3D ')': <BR> while ( stack(top) !=3D '(' ) [<BR> =
// out a element from stack <BR> =
]<BR> top =3D top - 1 // not out '( <BR> =
:else: <BR> // output current op <BR> ]<BR> =
i++; <BR> ]<BR>] =
<BR></PRE><BR>=A8=D2=A6p(a+b)*(c+d)=B3o=AD=D3=A6=A1=A4l=A1A=A8=CC=BAt=BA=E2=
=AAk=AA=BA=BF=E9=A5X=B9L=B5{=A6p=A4U=A1G=20
<TABLE width=3D"50%" border=3D1>
<TBODY>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>OP </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>STACK </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>OUTPUT </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>( </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>( </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>- </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>a </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>( </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>a </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>+ </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>(+ </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>a </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>b </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>(+ </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>) </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>- </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+ </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>* </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>* </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+ </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>( </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>*( </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+ </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>c </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>*( </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+c </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>+ </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>*(+ </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+c </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>d </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>*(+ </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+cd </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>) </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>* </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+cd+ </SMALL></TD></TR>
<TR>
<TD vAlign=3Dtop align=3Dleft><SMALL>- </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>- </SMALL></TD>
<TD vAlign=3Dtop align=3Dleft><SMALL>ab+cd+*=20
</SMALL></TD></TR></TBODY></TABLE><BR>=A6p=AAG=ADn=B1N=A4=A4=A7=C7=A6=A1=C2=
=E0=AC=B0=ABe=A7=C7=A6=A1=A1A=ABh=A6b=C5=AA=A8=FA=A4=A4=A7=C7=A6=A1=AE=C9=
=ACO=A5=D1=AB=E1=A9=B9=ABe=C5=AA=A8=FA=A1A=A6=D3=A5=AA=A5k=ACA=B8=B9=AA=BA=
=B3B=B2z=A4=E8=A6=A1=AC=DB=A4=CF=A1A=A8=E4=BEl=A4=A3=C5=DC=A1A=A6=FD=BF=E9=
=A5X=A4=A7=ABe=A5=B2=B6=B7=A5=FD=B8m=A4J=B0=EF=C5|=A1A=AB=DD=C2=E0=B4=AB=A7=
=B9=A6=A8=AB=E1=A6A=B1N=B0=EF=C5|=A4=A4=AA=BA=AD=C8=A5=D1=A4W=A9=B9=A4U=C5=
=AA=A5X=A1A=A6p=A6=B9=B4N=ACO=ABe=A7=C7=AA=ED=A5=DC=A6=A1=A1C=20
<BR>
<H2>=B9=EA=A7@</H2>
<UL>
<LI>C </LI></UL><PRE>#include <stdio.h> <BR>#include =
<stdlib.h> <BR><BR>int postfix(char*); // =
=A4=A4=A7=C7=C2=E0=AB=E1=A7=C7 <BR>int priority(char); // =
=A8M=A9w=B9B=BA=E2=A4l=C0u=A5=FD=B6=B6=A7=C7 <BR><BR>int main(void) { =
<BR> char input[80]; <BR><BR> =
printf("=BF=E9=A4J=A4=A4=A7=C7=B9B=BA=E2=A6=A1=A1G"); <BR> =
scanf("%s", input); <BR> postfix(input); <BR><BR> return 0; <BR>} =
<BR><BR>int postfix(char* infix) { <BR> int i =3D 0, top =3D 0; <BR> =
char stack[80] =3D {'\0'}; <BR> char op; <BR><BR> while(1) { =
<BR> op =3D infix[i]; <BR><BR> switch(op) { <BR> =
case '\0': <BR> while(top > 0) { <BR> =
printf("%c", stack[top]); <BR> top--; <BR> =
} <BR> printf("\n"); <BR> return 0; =
<BR> // =B9B=BA=E2=A4l=B0=EF=C5| <BR> case '(': =
<BR> if(top < (sizeof(stack) / sizeof(char))) { <BR> =
top++; <BR> stack[top] =3D op; <BR> =
} <BR> break; <BR> case '+': =
case '-': case '*': case '/': <BR> =
while(priority(stack[top]) >=3D priority(op)) { <BR> =
printf("%c", stack[top]); <BR> top--; <BR> =
} <BR> // =A6s=A4J=B0=EF=C5| <BR> =
if(top < (sizeof(stack) / sizeof(char))) { <BR> =
top++; <BR> stack[top] =3D op; <BR> } =
<BR> break; <BR> // =B9J ) =BF=E9=A5X=A6=DC ( =
<BR> case ')': <BR> while(stack[top] !=3D '(') =
{ <BR> printf("%c", stack[top]); <BR> =
top--; <BR> } <BR> top--; // =
=A4=A3=BF=E9=A5X( <BR> break; <BR> // =
=B9B=BA=E2=A4=B8=AA=BD=B1=B5=BF=E9=A5X <BR> default: <BR> =
printf("%c", op); <BR> break; <BR> } =
<BR> i++; <BR> } <BR>} <BR><BR>int priority(char op) { <BR> =
int p; <BR><BR> switch(op) { <BR> case '+': case '-': <BR> =
p =3D 1; <BR> break; <BR> case '*': case '/': =
<BR> p =3D 2; <BR> break; <BR> default: =
<BR> p =3D 0; <BR> break; <BR> } <BR><BR> =
return p; <BR>} <BR></PRE><BR>
<UL>
<LI>Java </LI></UL><PRE>public class InFix {<BR> private static int =
priority(char op) { <BR> switch(op) { <BR> case '+': =
case '-': <BR> return 1; <BR> case '*': case =
'/': <BR> return 2;<BR> default: <BR> =
return 0;<BR> } <BR> }<BR> <BR> public static =
char[] toPosfix(char[] infix) {<BR> char[] stack =3D new =
char[infix.length]; <BR> char[] postfix =3D new =
char[infix.length];<BR> char op; <BR><BR> StringBuffer =
buffer =3D new StringBuffer();<BR><BR> int top =3D 0;<BR> =
for(int i =3D 0; i < infix.length; i++) { <BR> op =3D =
infix[i]; <BR> switch(op) { <BR> // =
=B9B=BA=E2=A4l=B0=EF=C5| <BR> case '(': <BR> =
if(top < stack.length) { <BR> top++; =
<BR> stack[top] =3D op; <BR> } =
<BR> break; <BR> case '+': case '-': =
case '*': case '/': <BR> while(priority(stack[top]) =
>=3D <BR> priority(op)) { <BR> =
buffer.append(stack[top]);<BR> top--; =
<BR> } <BR> // =A6s=A4J=B0=EF=C5| =
<BR> if(top < stack.length) { <BR> =
top++; <BR> stack[top] =3D op; <BR> =
} <BR> break; <BR> // =B9J =
) =BF=E9=A5X=A6=DC ( <BR> case ')': <BR> =
while(stack[top] !=3D '(') { <BR> =
buffer.append(stack[top]);<BR> top--; <BR> =
} <BR> top--; // =A4=A3=BF=E9=A5X( <BR> =
break; <BR> // =
=B9B=BA=E2=A4=B8=AA=BD=B1=B5=BF=E9=A5X <BR> default: <BR> =
buffer.append(op);<BR> break; <BR> =
} <BR> } <BR> <BR> while(top > 0) { =
<BR> buffer.append(stack[top]);<BR> top--; <BR> =
}<BR> <BR> return buffer.toString().toCharArray();<BR> =
}<BR> <BR> public static char[] toPrefix(char[] infix) {<BR> =
char[] stack =3D new char[infix.length];<BR> char op; =
<BR><BR> StringBuffer buffer =3D new StringBuffer();<BR> =
<BR> int top =3D 0;<BR> for(int i =3D infix.length - 1; i =
>=3D 0; i--) { <BR> op =3D infix[i]; <BR> =
switch(op) { <BR> // =B9B=BA=E2=A4l=B0=EF=C5| <BR> =
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