Our brains are easy to understand infix expressions, but infix expressions are not computationally good in computers, and all we want to do is convert infix expressions to suffix expressions, because postfix expressions are easy to calculate. Why write a program like this? The reason is that I started to write a computer that was able to calculate the value of an
35,15,+,80,70,-, *,20,/ //Suffix expression (((35+15) * (80-70)/20) =25// infix expression /,*,+,35,15,-, 80, 70, 20 The way people think is easy to fix ~~! Just as used to pull 10 into the system. Just about 2,3,4,8, and so on. ~~! The way people are used to arithmetic is infix expression. And hit the prefix, suffix way: Confusion is just a
The difference between them is that the operator is relative to the position of the operand.Converts an infix expression to a prefix expression:Follow these steps:(1) Initialize two stacks: operator stack S1 and stack S2 for storing intermediate results;(2) Scanning infix expression from right to left;(3) When the operand is encountered, it is pressed into the S2;(4) When an operator is encountered, compare
Infix expression is a general method of arithmetic or logical formula representation. Operator is in infix form in the middle of the operand. For example: 3*4+3-1;
The suffix expression does not contain parentheses, the operator is placed behind two operand objects, all calculations are strictly left-to-right (the precedence rules for operators are no longer considered in the order in which operators appear
1. Relationship Between Expressions and Binary Trees
Prefix expressions correspond to the forward traversal of Binary trees;
The infix expression corresponds to the ordinal traversal of a binary tree;
Suffix expressions correspond to post-sequential traversal of Binary trees;
Ii. Generate a binary tree based on the infix expression
Infix expression: A + B * (c-d
* * infix expression-to-suffix expression * Function: Convert a long list of expressions into a computer-easy-to-manipulate character sequence for the design of the calculator ** participate in the conversion operator * +-/* () ^% * * * use StringBuilder to save the converted suffix expression Type * Use stack to manipulate operator * * * Conversion principle * 1. There is no priority value in the above character () and +-priority value is 1,/*% prior
I. Basic Concepts
An infix expression is like 1*2 + (2-1). Its operators usually appear between operands. Therefore, it is called an infix expression, which is the expression written in programming.
Replace the infix expression with the extension expression 1*2 + (2-1), and then change it to 12*21-+. The extension expression does not contain parentheses, the oper
infix expression1* (2+3)This is an infix expression, operators between numbers, computer processing prefix expressions and suffix expressions is easier, but processing infix expressions is not easy, so we need to use Shunting-yard algorithm (dispatch field algorithm) to convert infix expression to a suffix expression (
Original from: http://www.nowamagic.net/librarys/veda/detail/2307
We use the usual standard arithmetic expression, that is, "9+ (3-1) *3+10/2" is called infix expression. Because all the operational symbols are in the middle of two digits, now our problem is infix to the suffix of the transformation.
Infix expression "9+ (3-1) *3+10/2" translates to the suffix ex
Problem description:
Prefix-to-infix example, with extra parentheses allowed:
* + 4 2 + 3 6 => (4 + 2) * (3 + 6)
-+/3 4 2 5 => (3/4 + 2)-5
-+ 3/4 2 5 => (3 + 4/2)-5
Thought 1 (recursion ):
1. Scan from left to right
2. If an operator is encountered, a recursive solution is used to return a new string. If a number is encountered, a numeric string is directly returned. For example:
Case '*':
Return "(" + exp () + "*" + exp () + ")"; // note t
Before writing should introduce a formidable Polish mathematician--jan Lukasiewicz (Rukasevichi), he thought of a kind of suffix expression that does not need parentheses, we in order to commemorate him, call it inverse Poland (Reverse Polish NOTATION,RPN) said.We use the usual standard arithmetic expression, such as: + + (3-1) X3+10/2, called infix expression.Put 9 3 1-3 * + 10 2/+ (here from the example of the i
Suffix:
That is, the reverse Polish style.
The inverse Polish formula is a method of expression invented by Lukasiewicz, a Polish logologist. In this way, operators are written after the operation object. For example, A + B is written as AB +, which is also called a suffix. The advantage of this notation is that it is calculated based on the sequence of operation objects and operators, without the need to use parentheses, It is also easy to evaluate using machinery. For the expression X: =
*/Int Pop (Stack S){If (IsEmpty (S ))Printf ("The Stack is empty! \ N ");ElseS-> Top_of_stack --;}/* Return the stack top */Char Top (Stack S){If (! IsEmpty (S ))Return S-> Array [S-> Top_of_stack-1];Printf ("The Stack is empty! \ N ");Return 0;}/* Calculate the priority */Int getPriority (char){Switch (){Case '#':Return 0;Break;Case '+ ':Case '-':Return 1;Break;Case '*':Case '/':Return 2;Break;Case '(':Return 3;Break;Default:Break;}}Int main (){Int I, len;Char str [100];Printf ("Please input t
The infix expression string is given and the value is calculated.
Main ideas:
1. The lexical analysis of the string, the analysis results stored to two-yuan array, with the two-element array storage infix expression.
2. Convert infix expression to suffix expression.
3. Use the stack to evaluate the suffix expression.
Characteristics:
A space that can be removed f
Infix syntax is a kind of OC Ritter, which is to add an explanatory word to the arguments of the function, so that the meaning of the parameter is understood when the call is made.Like what:-(void) Processdatawithparamaa: (NSString *) Paramaa paramab: (NSString *) paramab{}When called: [Self Processdatawithparamaa:@ "A" paramab:@ "B"];But you find that, this infix syntax is the premise that you must be i
The individual program design requirements to do a program with computational functions, and to calculate is inseparable from the expression, according to the General People's habit, infix expression is a very common way. However, it is not so convenient for US programmers to compute infix expressions directly, so we usually convert infix expressions.Whether it i
1. Algorithm Ideas convert to suffix: Iterates the infix expression from left to right, encountered operand, output, encountered operator, current operator priority greater than greater than or equal to operator of the current operator, the current operator into the stack. conversion to prefix: from right to left to iterate infix expression, encountered operand, output, encountered operator, th
In Haskell, functions are generally performed using prefixes. But there is a way to change the prefix to infix.All we need to do is wrap the function together, and we can turn a function with 2 parameters into infix form.Prelude> "A" ' Notelem ' ["B"] true prelude> Notelem "a" ["B"] Truefunction infix, not only can have 2 parameters of the function into infix for
The reason for manual deduction is, of course, for the exam. Amount.
For programming implementation, please search by yourself. I did not find any of the following content, so I wrote it down. One was a memo, and the other helped to save some time for the children's shoes preparing for the exam.
Few gossip, and listen to the text:
[1]Evaluate:
1.1 infix evaluation:(Needless to say, You know)
Before 1.2, suffix type evaluation:The program requires a st
Calculation: The use of postfix expression to calculate the specific approach: to build a stack s. Read the expression from left to right, if the operand is read into the stack s, if you read the N-ary operator (that is, the operator that requires the number of arguments N), the top-down N-items are fetched by the operand, and the result of the operation is replaced by the N of the top of the stack and pressed into the stack s. If the suffix expression is not read, the above procedure is repeate
The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion;
products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the
content of the page makes you feel confusing, please write us an email, we will handle the problem
within 5 days after receiving your email.
If you find any instances of plagiarism from the community, please send an email to:
info-contact@alibabacloud.com
and provide relevant evidence. A staff member will contact you within 5 working days.