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	<title>陈志伟博客 &#187; 算法</title>
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		<title>数据结构：利用栈的操作实现表达式求值</title>
		<link>http://chenzhiwei.net/2008/12/evaluate-expression/</link>
		<comments>http://chenzhiwei.net/2008/12/evaluate-expression/#comments</comments>
		<pubDate>Wed, 31 Dec 2008 00:09:50 +0000</pubDate>
		<dc:creator>zhiwei</dc:creator>
				<category><![CDATA[编程相关]]></category>
		<category><![CDATA[C语言]]></category>
		<category><![CDATA[数据结构]]></category>
		<category><![CDATA[算法]]></category>
		<category><![CDATA[表达式]]></category>

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		<description><![CDATA[数据结构课程中，在对桟的学习中我会遇到关于表达式求值问题，下面是我自己写的关于表达式求值的代码，其中还有很多不足之处，可以参考下思路。 如题：下面是我自己写的代码，一个头文件一个CPP文件。 以下是CPP文件(EvaluateExpression.cpp)源码 ： 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 #include &#34;EvaluateExpression.h&#34; &#160; char OP&#91;&#93;=&#123;'+','-','*','/','(',')','#'&#125;; OPND_Stack [...]]]></description>
			<content:encoded><![CDATA[<p>数据结构课程中，在对桟的学习中我会遇到关于表达式求值问题，下面是我自己写的关于表达式求值的代码，其中还有很多不足之处，可以参考下思路。</p>
<p>如题：下面是我自己写的代码，一个头文件一个CPP文件。<br />
以下是CPP文件(EvaluateExpression.cpp)源码 ：<span id="more-91"></span></p>

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</pre></td><td class="code"><pre class="c" style="font-family:monospace;"><span style="color: #339933;">#include &quot;EvaluateExpression.h&quot;</span>
&nbsp;
<span style="color: #993333;">char</span> OP<span style="color: #009900;">&#91;</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">=</span><span style="color: #009900;">&#123;</span><span style="color: #ff0000;">'+'</span><span style="color: #339933;">,</span><span style="color: #ff0000;">'-'</span><span style="color: #339933;">,</span><span style="color: #ff0000;">'*'</span><span style="color: #339933;">,</span><span style="color: #ff0000;">'/'</span><span style="color: #339933;">,</span><span style="color: #ff0000;">'('</span><span style="color: #339933;">,</span><span style="color: #ff0000;">')'</span><span style="color: #339933;">,</span><span style="color: #ff0000;">'#'</span><span style="color: #009900;">&#125;</span><span style="color: #339933;">;</span>
OPND_Stack OPND<span style="color: #339933;">;</span><span style="color: #666666; font-style: italic;">//定义操作数栈变量 </span>
OPTR_Stack OPTR<span style="color: #339933;">;</span><span style="color: #666666; font-style: italic;">//定义运算符栈变量 </span>
<span style="color: #993333;">char</span> x<span style="color: #339933;">;</span><span style="color: #666666; font-style: italic;">//运算符出栈时起缓冲作用</span>
<span style="color: #993333;">int</span> main<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #993333;">char</span> <span style="color: #339933;">*</span>str<span style="color: #339933;">=</span>new <span style="color: #993333;">char</span><span style="color: #009900;">&#91;</span>STACK_INIT_SIZE<span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span>theta<span style="color: #339933;">;</span><span style="color: #666666; font-style: italic;">//存放表达式</span>
	OPND_Type t<span style="color: #339933;">=</span><span style="color: #0000dd;">0</span><span style="color: #339933;">,</span>a<span style="color: #339933;">,</span>b<span style="color: #339933;">;</span>	 
	<span style="color: #000066;">printf</span><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;若你要输入负数如-4则就这样输入(0-4)<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #000066;">printf</span><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;请输入表达式(以#结束)：&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	Init_OPTR_Stack<span style="color: #009900;">&#40;</span>OPTR<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span> Push_OPTR<span style="color: #009900;">&#40;</span>OPTR<span style="color: #339933;">,</span><span style="color: #ff0000;">'#'</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	Init_OPND_Stack<span style="color: #009900;">&#40;</span>OPND<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span> scanf<span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;%s&quot;</span><span style="color: #339933;">,</span>str<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>	
	<span style="color: #b1b100;">while</span><span style="color: #009900;">&#40;</span><span style="color: #339933;">*</span>str<span style="color: #339933;">!=</span><span style="color: #ff0000;">'#'</span><span style="color: #339933;">||</span>GetTop_OPTR<span style="color: #009900;">&#40;</span>OPTR<span style="color: #009900;">&#41;</span><span style="color: #339933;">!=</span><span style="color: #ff0000;">'#'</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span><span style="color: #339933;">!</span>In<span style="color: #009900;">&#40;</span><span style="color: #339933;">*</span>str<span style="color: #339933;">,</span>OP<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span>
		<span style="color: #009900;">&#123;</span>
			t<span style="color: #339933;">=</span><span style="color: #0000dd;">0</span><span style="color: #339933;">;</span>
			<span style="color: #b1b100;">while</span><span style="color: #009900;">&#40;</span><span style="color: #339933;">!</span>In<span style="color: #009900;">&#40;</span><span style="color: #339933;">*</span>str<span style="color: #339933;">,</span>OP<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span>
			<span style="color: #009900;">&#123;</span>
				<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span><span style="color: #339933;">*</span>str<span style="color: #339933;">&lt;</span><span style="color: #ff0000;">'0'</span><span style="color: #339933;">||*</span>str<span style="color: #339933;">&gt;</span><span style="color: #ff0000;">'9'</span><span style="color: #009900;">&#41;</span>
				<span style="color: #009900;">&#123;</span>
					<span style="color: #000066;">printf</span><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;表达式有非法输入！<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
					exit<span style="color: #009900;">&#40;</span><span style="color: #0000dd;">0</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
				<span style="color: #009900;">&#125;</span>
				t<span style="color: #339933;">*=</span><span style="color: #0000dd;">10</span><span style="color: #339933;">;</span>
				t<span style="color: #339933;">=*</span>str<span style="color: #339933;">-</span><span style="color: #ff0000;">'0'</span><span style="color: #339933;">+</span>t<span style="color: #339933;">;</span>
				str<span style="color: #339933;">++;</span>
			<span style="color: #009900;">&#125;</span>
			Push_OPND<span style="color: #009900;">&#40;</span>OPND<span style="color: #339933;">,</span>t<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #009900;">&#125;</span>
		<span style="color: #b1b100;">else</span>
		<span style="color: #009900;">&#123;</span>		
			<span style="color: #b1b100;">switch</span><span style="color: #009900;">&#40;</span>Precede<span style="color: #009900;">&#40;</span>GetTop_OPTR<span style="color: #009900;">&#40;</span>OPTR<span style="color: #009900;">&#41;</span><span style="color: #339933;">,*</span>str<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span>
			<span style="color: #009900;">&#123;</span>
				<span style="color: #b1b100;">case</span> <span style="color: #ff0000;">'&lt;'</span><span style="color: #339933;">:</span> Push_OPTR<span style="color: #009900;">&#40;</span>OPTR<span style="color: #339933;">,*</span>str<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span> str<span style="color: #339933;">++;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
				<span style="color: #b1b100;">case</span> <span style="color: #ff0000;">'='</span><span style="color: #339933;">:</span> Pop_OPTR<span style="color: #009900;">&#40;</span>OPTR<span style="color: #339933;">,</span>x<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>   str<span style="color: #339933;">++;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
				<span style="color: #b1b100;">case</span> <span style="color: #ff0000;">'&gt;'</span><span style="color: #339933;">:</span> Pop_OPTR<span style="color: #009900;">&#40;</span>OPTR<span style="color: #339933;">,</span>theta<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span> Pop_OPND<span style="color: #009900;">&#40;</span>OPND<span style="color: #339933;">,</span>b<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span> Pop_OPND<span style="color: #009900;">&#40;</span>OPND<span style="color: #339933;">,</span>a<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span> Push_OPND<span style="color: #009900;">&#40;</span>OPND<span style="color: #339933;">,</span>Operate<span style="color: #009900;">&#40;</span>a<span style="color: #339933;">,</span>theta<span style="color: #339933;">,</span>b<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
			<span style="color: #009900;">&#125;</span>
		<span style="color: #009900;">&#125;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #000066;">printf</span><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;结果是: %d<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #339933;">,</span>GetTop_OPND<span style="color: #009900;">&#40;</span>OPND<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">return</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>

<p>以下是.h文件源码(EvaluateExpression.h)实现：</p>

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</pre></td><td class="code"><pre class="c" style="font-family:monospace;"><span style="color: #808080; font-style: italic;">/**************************************
  Name: 表达式求值的实现 
  Author: mail@chenzhiwei.cn
  Date: 2008/12/25
  Copyright http://chenzhiwei.net
  PS:还有些功能没有实现，如负数输入问题，还有运算符连续出现问题
**************************************/</span>
<span style="color: #339933;">#include &quot;stdio.h&quot;</span>
<span style="color: #339933;">#include &quot;stdlib.h&quot;</span>
<span style="color: #339933;">#define STACK_INIT_SIZE 100</span>
<span style="color: #993333;">typedef</span>  <span style="color: #993333;">char</span> OPTR_Type<span style="color: #339933;">;</span>
<span style="color: #993333;">typedef</span>  <span style="color: #993333;">int</span>  OPND_Type<span style="color: #339933;">;</span>
<span style="color: #339933;">#define overflow -2</span>
<span style="color: #993333;">typedef</span> <span style="color: #993333;">int</span>  Status<span style="color: #339933;">;</span>
<span style="color: #339933;">#define OK 1</span>
<span style="color: #339933;">#define ERROR 0 </span>
<span style="color: #993333;">typedef</span> <span style="color: #993333;">struct</span><span style="color: #009900;">&#123;</span>
	OPND_Type <span style="color: #339933;">*</span>base<span style="color: #339933;">;</span>
	OPND_Type <span style="color: #339933;">*</span>top<span style="color: #339933;">;</span>
	<span style="color: #993333;">int</span>       stacksize<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>OPND_Stack<span style="color: #339933;">;</span><span style="color: #666666; font-style: italic;">//定义操作数栈的结构；</span>
<span style="color: #993333;">typedef</span> <span style="color: #993333;">struct</span><span style="color: #009900;">&#123;</span>
	OPTR_Type <span style="color: #339933;">*</span>base<span style="color: #339933;">;</span>
	OPTR_Type <span style="color: #339933;">*</span>top<span style="color: #339933;">;</span>
	<span style="color: #993333;">int</span>       stacksize<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>OPTR_Stack<span style="color: #339933;">;</span><span style="color: #666666; font-style: italic;">//定义运算符栈的结构；</span>
<span style="color: #666666; font-style: italic;">//-------------下为函数声明,其实作为头文件不用声明也行-----------------//</span>
<span style="color: #666666; font-style: italic;">//1.初始化空栈；</span>
Status Init_OPND_Stack<span style="color: #009900;">&#40;</span>OPND_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
Status Init_OPTR_Stack<span style="color: #009900;">&#40;</span>OPTR_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #666666; font-style: italic;">//2.进栈操作；</span>
Status Push_OPTR<span style="color: #009900;">&#40;</span>OPTR_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPTR_Type e<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
Status Push_OPND<span style="color: #009900;">&#40;</span>OPND_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPND_Type e<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #666666; font-style: italic;">//3.出栈操作；</span>
Status Pop_OPTR<span style="color: #009900;">&#40;</span>OPTR_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPTR_Type <span style="color: #339933;">&amp;</span>e<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
Status Pop_OPND<span style="color: #009900;">&#40;</span>OPND_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPND_Type <span style="color: #339933;">&amp;</span>e<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #666666; font-style: italic;">//4.返回栈顶元素</span>
OPTR_Type GetTop_OPTR<span style="color: #009900;">&#40;</span>OPTR_Stack S<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
OPND_Type GetTop_OPND<span style="color: #009900;">&#40;</span>OPND_Stack S<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #808080; font-style: italic;">/*以下是一些基本操作实现；*/</span>
&nbsp;
Status Init_OPTR_Stack<span style="color: #009900;">&#40;</span>OPTR_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
    S.<span style="color: #202020;">top</span><span style="color: #339933;">=</span><span style="color: #009900;">&#40;</span>OPTR_Type <span style="color: #339933;">*</span><span style="color: #009900;">&#41;</span>malloc<span style="color: #009900;">&#40;</span>STACK_INIT_SIZE<span style="color: #339933;">*</span><span style="color: #993333;">sizeof</span><span style="color: #009900;">&#40;</span>OPTR_Type<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	S.<span style="color: #202020;">base</span><span style="color: #339933;">=</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">;</span>
	S.<span style="color: #202020;">stacksize</span><span style="color: #339933;">=</span>STACK_INIT_SIZE<span style="color: #339933;">;</span>
	<span style="color: #b1b100;">return</span> OK<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span><span style="color: #666666; font-style: italic;">//初始化空栈；</span>
Status Init_OPND_Stack<span style="color: #009900;">&#40;</span>OPND_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
    S.<span style="color: #202020;">top</span><span style="color: #339933;">=</span><span style="color: #009900;">&#40;</span>OPND_Type <span style="color: #339933;">*</span><span style="color: #009900;">&#41;</span>malloc<span style="color: #009900;">&#40;</span>STACK_INIT_SIZE<span style="color: #339933;">*</span><span style="color: #993333;">sizeof</span><span style="color: #009900;">&#40;</span>OPND_Type<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	S.<span style="color: #202020;">base</span><span style="color: #339933;">=</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">;</span>
	S.<span style="color: #202020;">stacksize</span><span style="color: #339933;">=</span>STACK_INIT_SIZE<span style="color: #339933;">;</span>
	<span style="color: #b1b100;">return</span> OK<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span><span style="color: #666666; font-style: italic;">//初始化空栈；</span>
&nbsp;
Status Push_OPTR<span style="color: #009900;">&#40;</span>OPTR_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPTR_Type e<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
    <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">-</span>S.<span style="color: #202020;">base</span><span style="color: #339933;">&gt;=</span>S.<span style="color: #202020;">stacksize</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #000066;">printf</span><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;内存超限！<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		exit<span style="color: #009900;">&#40;</span>overflow<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #339933;">*</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">=</span>e<span style="color: #339933;">;</span>
	S.<span style="color: #202020;">top</span><span style="color: #339933;">++;</span>
	<span style="color: #b1b100;">return</span> OK<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span><span style="color: #666666; font-style: italic;">//进栈操作；</span>
Status Push_OPND<span style="color: #009900;">&#40;</span>OPND_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPND_Type e<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
    <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">-</span>S.<span style="color: #202020;">base</span><span style="color: #339933;">&gt;=</span>S.<span style="color: #202020;">stacksize</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #000066;">printf</span><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;内存超限！<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		exit<span style="color: #009900;">&#40;</span>overflow<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #339933;">*</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">=</span>e<span style="color: #339933;">;</span>
	S.<span style="color: #202020;">top</span><span style="color: #339933;">++;</span>
	<span style="color: #b1b100;">return</span> OK<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span><span style="color: #666666; font-style: italic;">//进栈操作；</span>
&nbsp;
Status Pop_OPTR<span style="color: #009900;">&#40;</span>OPTR_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPTR_Type <span style="color: #339933;">&amp;</span>e<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
    <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">==</span>S.<span style="color: #202020;">base</span><span style="color: #009900;">&#41;</span> <span style="color: #b1b100;">return</span> ERROR<span style="color: #339933;">;</span>
	e<span style="color: #339933;">=*--</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">return</span> OK<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span><span style="color: #666666; font-style: italic;">//出栈操作；</span>
Status Pop_OPND<span style="color: #009900;">&#40;</span>OPND_Stack <span style="color: #339933;">&amp;</span>S<span style="color: #339933;">,</span>OPND_Type <span style="color: #339933;">&amp;</span>e<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
    <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">==</span>S.<span style="color: #202020;">base</span><span style="color: #009900;">&#41;</span> <span style="color: #b1b100;">return</span> ERROR<span style="color: #339933;">;</span>
	e<span style="color: #339933;">=*--</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">return</span> OK<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span><span style="color: #666666; font-style: italic;">//出栈操作；</span>
&nbsp;
OPTR_Type GetTop_OPTR<span style="color: #009900;">&#40;</span>OPTR_Stack S<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">==</span>S.<span style="color: #202020;">base</span><span style="color: #009900;">&#41;</span> <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'0'</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">return</span> <span style="color: #339933;">*</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">-</span><span style="color: #0000dd;">1</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
OPND_Type GetTop_OPND<span style="color: #009900;">&#40;</span>OPND_Stack S<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">==</span>S.<span style="color: #202020;">base</span><span style="color: #009900;">&#41;</span> <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'0'</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">return</span> <span style="color: #339933;">*</span><span style="color: #009900;">&#40;</span>S.<span style="color: #202020;">top</span><span style="color: #339933;">-</span><span style="color: #0000dd;">1</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
Status In<span style="color: #009900;">&#40;</span>OPTR_Type c<span style="color: #339933;">,</span>OPTR_Type <span style="color: #339933;">*</span>p<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #b1b100;">while</span><span style="color: #009900;">&#40;</span><span style="color: #339933;">*</span>p<span style="color: #339933;">!=</span><span style="color: #ff0000;">'<span style="color: #006699; font-weight: bold;">\0</span>'</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span><span style="color: #339933;">*</span>p<span style="color: #339933;">==</span>c<span style="color: #009900;">&#41;</span>
		<span style="color: #009900;">&#123;</span>
			<span style="color: #b1b100;">return</span> <span style="color: #0000dd;">1</span><span style="color: #339933;">;</span>
		<span style="color: #009900;">&#125;</span>
		p<span style="color: #339933;">++;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">return</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
OPTR_Type Precede<span style="color: #009900;">&#40;</span><span style="color: #993333;">char</span> prior<span style="color: #339933;">,</span><span style="color: #993333;">char</span> next<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>prior<span style="color: #339933;">==</span><span style="color: #ff0000;">'+'</span><span style="color: #339933;">||</span>prior<span style="color: #339933;">==</span><span style="color: #ff0000;">'-'</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">'*'</span><span style="color: #339933;">||</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">'('</span><span style="color: #339933;">||</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">'/'</span><span style="color: #009900;">&#41;</span>
		   <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'&lt;'</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'&gt;'</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>prior<span style="color: #339933;">==</span><span style="color: #ff0000;">'*'</span><span style="color: #339933;">||</span>prior<span style="color: #339933;">==</span><span style="color: #ff0000;">'/'</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">'('</span><span style="color: #009900;">&#41;</span>
		   <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'&lt;'</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'&gt;'</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>prior<span style="color: #339933;">==</span><span style="color: #ff0000;">'('</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">'#'</span><span style="color: #009900;">&#41;</span>
		   exit<span style="color: #009900;">&#40;</span><span style="color: #0000dd;">1</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">')'</span><span style="color: #009900;">&#41;</span>
			<span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'='</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'&lt;'</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>prior<span style="color: #339933;">==</span><span style="color: #ff0000;">')'</span><span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">'('</span><span style="color: #009900;">&#41;</span>
		   exit<span style="color: #009900;">&#40;</span><span style="color: #0000dd;">1</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'&gt;'</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>prior<span style="color: #339933;">==</span><span style="color: #ff0000;">'#'</span><span style="color: #009900;">&#41;</span> 
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">'#'</span><span style="color: #009900;">&#41;</span>
			<span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'='</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>next<span style="color: #339933;">==</span><span style="color: #ff0000;">')'</span><span style="color: #009900;">&#41;</span>
			exit<span style="color: #009900;">&#40;</span><span style="color: #0000dd;">1</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">else</span> <span style="color: #b1b100;">return</span> <span style="color: #ff0000;">'&lt;'</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">else</span> exit<span style="color: #009900;">&#40;</span><span style="color: #0000dd;">1</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
OPND_Type Operate<span style="color: #009900;">&#40;</span>OPND_Type a<span style="color: #339933;">,</span><span style="color: #993333;">char</span> c<span style="color: #339933;">,</span>OPND_Type b<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	OPND_Type temp<span style="color: #339933;">;</span>
	<span style="color: #b1b100;">switch</span><span style="color: #009900;">&#40;</span>c<span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">case</span> <span style="color: #ff0000;">'+'</span><span style="color: #339933;">:</span>temp<span style="color: #339933;">=</span>a<span style="color: #339933;">+</span>b<span style="color: #339933;">;</span>break<span style="color: #339933;">;</span>
		<span style="color: #b1b100;">case</span> <span style="color: #ff0000;">'-'</span><span style="color: #339933;">:</span>temp<span style="color: #339933;">=</span>a<span style="color: #339933;">-</span>b<span style="color: #339933;">;</span>break<span style="color: #339933;">;</span>
		<span style="color: #b1b100;">case</span> <span style="color: #ff0000;">'*'</span><span style="color: #339933;">:</span>temp<span style="color: #339933;">=</span>a<span style="color: #339933;">*</span>b<span style="color: #339933;">;</span>break<span style="color: #339933;">;</span>
		<span style="color: #b1b100;">case</span> <span style="color: #ff0000;">'/'</span><span style="color: #339933;">:</span>temp<span style="color: #339933;">=</span>a<span style="color: #339933;">/</span>b<span style="color: #339933;">;</span>break<span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">return</span> temp<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>

<p>PS：不过还有些功能没有实现，如负数输入问题，还有运算符连续出现问题，有兴趣的朋友可以再优化一下。刚刚觉得自己的学习有了点起色，又要放假了，真无奈。。。</p>
<p style="font-weight: bold;">&copy; 2008, <a href="http://chenzhiwei.net">chenzhiwei.net</a>. 版权所有.  <br />本文永久链接：<a title="数据结构：利用栈的操作实现表达式求值" href="http://chenzhiwei.net/2008/12/evaluate-expression/">http://chenzhiwei.net/2008/12/evaluate-expression/</a></p><hr /><div  class="related_post_title">相关日志</div><ul class="related_post"><li><a href="http://chenzhiwei.net/2008/12/program-jixianyouhua/" title="极限优化的编程题目">极限优化的编程题目</a></li><li><a href="http://chenzhiwei.net/2010/12/the-difference-between-const-and-define/" title="C++中const与define的区别">C++中const与define的区别</a></li><li><a href="http://chenzhiwei.net/2010/12/usage-of-assert-lib/" title="C/C++中assert的用法">C/C++中assert的用法</a></li><li><a href="http://chenzhiwei.net/2010/06/the-keyword-static-in-c-language/" title="C语言中的static关键字">C语言中的static关键字</a></li><li><a href="http://chenzhiwei.net/2008/10/cc-programming-challenge-try-this/" title="C/C++ Programming Challenge &#8211; try this!">C/C++ Programming Challenge &#8211; try this!</a></li></ul>]]></content:encoded>
			<wfw:commentRss>http://chenzhiwei.net/2008/12/evaluate-expression/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>极限优化的编程题目</title>
		<link>http://chenzhiwei.net/2008/12/program-jixianyouhua/</link>
		<comments>http://chenzhiwei.net/2008/12/program-jixianyouhua/#comments</comments>
		<pubDate>Sat, 27 Dec 2008 05:09:35 +0000</pubDate>
		<dc:creator>zhiwei</dc:creator>
				<category><![CDATA[编程相关]]></category>
		<category><![CDATA[C语言]]></category>
		<category><![CDATA[算法]]></category>
		<category><![CDATA[编程]]></category>

		<guid isPermaLink="false">http://blog.chenzhiwei.cn/blog/?p=1</guid>
		<description><![CDATA[极限优化题目： 1 2 3 4 5 6 7 8 9 10 11 = N 其中N是运行时输入的一个整数，在以上式子左边加入+-*/使得式子成立 若解的个数超过50个时请自行终止解的输出（只输出前50个）， 最后要输出解的总个数（不显示的也要统计在内） 1前面加不加负号都要考虑 时间限制3s例子： 8193 1-2-3+45*6+7+8*9*10*11 = 8193 1-234+5-678+9*1011 = 8193 1*2*34*5-67+8*9*10*11 = 8193 12/3*4*567-89*10+11 = 8193 -1+2+34*56/7+8*9*10*11 = 8193 -1+23+45*6+789*10+11 = 8193 -1-2*3*4*5*6-7+8910+11 = 8193 -12/3+45*6+7+8*9*10*11 = 8193 -123+4+56*7+8*9*10*11 = 8193 Total = 9直接穷举的话将近20M种组合 &#169; 2008, chenzhiwei.net. 版权所有. 本文永久链接：http://chenzhiwei.net/2008/12/program-jixianyouhua/相关日志数据结构：利用栈的操作实现表达式求值C++中const与define的区别C/C++中assert的用法C语言中的static关键字C/C++ [...]]]></description>
			<content:encoded><![CDATA[<p>极限优化题目：<br />
1 2 3 4 5 6 7 8 9 10 11 = N<br />
其中N是运行时输入的一个整数，在以上式子左边加入+-*/使得式子成立<br />
若解的个数超过50个时请自行终止解的输出（只输出前50个），<br />
最后要输出解的总个数（不显示的也要统计在内）<br />
1前面加不加负号都要考虑<br />
时间限制3s例子：<span id="more-23006"></span><br />
8193<br />
1-2-3+45*6+7+8*9*10*11 = 8193<br />
1-234+5-678+9*1011 = 8193<br />
1*2*34*5-67+8*9*10*11 = 8193<br />
12/3*4*567-89*10+11 = 8193<br />
-1+2+34*56/7+8*9*10*11 = 8193<br />
-1+23+45*6+789*10+11 = 8193<br />
-1-2*3*4*5*6-7+8910+11 = 8193<br />
-12/3+45*6+7+8*9*10*11 = 8193<br />
-123+4+56*7+8*9*10*11 = 8193<br />
Total = 9直接穷举的话将近20M种组合</p>
<p style="font-weight: bold;">&copy; 2008, <a href="http://chenzhiwei.net">chenzhiwei.net</a>. 版权所有.  <br />本文永久链接：<a title="极限优化的编程题目" href="http://chenzhiwei.net/2008/12/program-jixianyouhua/">http://chenzhiwei.net/2008/12/program-jixianyouhua/</a></p><hr /><div  class="related_post_title">相关日志</div><ul class="related_post"><li><a href="http://chenzhiwei.net/2008/12/evaluate-expression/" title="数据结构：利用栈的操作实现表达式求值">数据结构：利用栈的操作实现表达式求值</a></li><li><a href="http://chenzhiwei.net/2010/12/the-difference-between-const-and-define/" title="C++中const与define的区别">C++中const与define的区别</a></li><li><a href="http://chenzhiwei.net/2010/12/usage-of-assert-lib/" title="C/C++中assert的用法">C/C++中assert的用法</a></li><li><a href="http://chenzhiwei.net/2010/06/the-keyword-static-in-c-language/" title="C语言中的static关键字">C语言中的static关键字</a></li><li><a href="http://chenzhiwei.net/2008/10/cc-programming-challenge-try-this/" title="C/C++ Programming Challenge &#8211; try this!">C/C++ Programming Challenge &#8211; try this!</a></li></ul>]]></content:encoded>
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