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README
LGPL-3.0

操作符可否连用关系表

  +  -  *  /  %  (  )  ,

空|  |  n  n  n  y  n  n
+ |  |  n  n  n  y  n  n
- |  |  n  n  n  y  n  n
* |  |  n  n  n  y  n  n
/ |  |  n  n  n  y  n  n
% |  |  n  n  n  y  n  n
( |  |  n  n  n  y  n  n
) y  y  y  y  y  n  y  y
, |  |  n  n  n  y  n  n
尾n  n  n  n  n  n  y  n

其中, 在 +- 是单目操作符时,| = y; 在 +- 是双目操作符时,| = n

单目操作符: +-,前面是个操作符(并且这个操作符不是右括号),后面跟着数字或变量或函数。

y: 表示可以连用; n: 表示不可以连用; : 表示操作符是表达式中第一个操作符; : 表示操作符是表达式中最后一个操作符。

优先级


     +  -  *  /  %  (  )
内 + >  >  <  <  <  <  >
   - >  >  <  <  <  <  >
   / >  >  >  >  >  <  >
   % >  >  >  >  >  <  >
   ( <  <  <  <  <  <  >
   ) -  -  -  -  -  -  -         /* ')' 不会入栈 */
        内             外
+        3              2
-        3              2
*        5              4
/        5              4
%        5              4
(        6              7
)        -              1

使用说明

目录结构及文件说明

  • base\list.h 列表类模板
  • base\poly.cpp 函数表达式类源文件
  • base\poly.h 函数表达式类头文件
  • base\stack.h 栈类模板
  • subconsole windows 控制台测试程序

使用方法

控制台测试程序和图形界面测试程序都是用VC2003建立的。核心的函数在 base 文件夹中。核心的类是 base\poly.cpp 中的 Poly 类,它的使用方法在 subconsole\subconsole.cpp 中有详细说明。控制台测试程序在命令提示符下运行一下,就可以看到输出结果了。图形界面测试程序操作步骤如下:

  1. 在文本框中输入函数表达式;
  2. 点击设置[函数表达式]按钮,将在列表框中看到函数表达式的详细信息。如果设置成功,并且函数表达式中有变量,则[设置变量]按钮可用;如果设置成功,并且表达式中只有常量没有变量,则[计算]按钮可用,点[计算],将得到函数表达式的值。
  3. 如需设置变量,点击一下[设置变量]按钮,将出现一个打开文件对话框。现在选中 vars.txt (存放有变量值的文件,其内容是一行以空格分隔的双精度数),点[打开]按钮。
  4. 如果变量设置成功,则[计算]按钮可用,点[计算],将得到函数表达式的值。

函数表达式示例:

程序支持以下形式的函数表达式,表达式可以由变量、常量或者数学函数组成。数学函数的参数可以是表达式:

表达式 组成
x1 变量
x1*x2 变量
x1+x2*x3/x4%x5-x6 常量和变量
1 常量
1+2+3-4*5/7%8 常量
sin(x1) 数学函数,参数是单个变量组成的表达式
sin(x1+x2x3/x4%x5-x6) + cos(x1+x2x3/x4%x5-x6) 数学函数,参数是复杂的表达式
sin(1+2+3-45/7%8) * cos(1+2+3-45/7%8) 数学函数组成表达式
sin(1) 数学函数,参数是常量

等等。注意程序不支持如下形式的表达式,这个表达式不能得到正确结果:

     sin(x2+x1+x3+sin(x2))    // 参数中不能再出现数学函数调用

也就是说,在数学函数的参数中,不能再出现数学函数的调用(这个功能如果需要可以添加)。

程序支持的数学函数,共有 15 个

     double  asin  (double);
     double  sin   (double);
     double  sinh  (double);
     double  acos  (double);
     double  cos   (double);
     double  cosh  (double);
     double  atan  (double);
     double  atan2 (double, double);
     double  tan   (double);
     double  tanh  (double);
     double  pow   (double, double);
     double  sqrt  (double);
     double  log   (double);
     double  log10 (double);
     double  fabs  (double);

程序不接受以科学记数法表式的双精度数

GNU LESSER GENERAL PUBLIC LICENSE Version 3, 29 June 2007 Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/> Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. This version of the GNU Lesser General Public License incorporates the terms and conditions of version 3 of the GNU General Public License, supplemented by the additional permissions listed below. 0. Additional Definitions. As used herein, "this License" refers to version 3 of the GNU Lesser General Public License, and the "GNU GPL" refers to version 3 of the GNU General Public License. "The Library" refers to a covered work governed by this License, other than an Application or a Combined Work as defined below. An "Application" is any work that makes use of an interface provided by the Library, but which is not otherwise based on the Library. 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简介

计算函数表达式。 展开 收起
C++ 等 3 种语言
LGPL-3.0
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