CSCI 3333 Project One Binary Arithmetic Expression Trees Problem Description This project is about design and implement expression trees, which are special cases of parse trees or grammar trees. you...

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this is for my advanced computer science class: algorithms and data structures.


CSCI 3333 Project One Binary Arithmetic Expression Trees Problem Description This project is about design and implement expression trees, which are special cases of parse trees or grammar trees. you need to implement a program to do the following: a) Takes a binary arithmetic expression as input, builds a binary expression tree for the input expression b) Check whether there are any syntactic or semantic errors in the expression. If yes, then report the errors. c) If there are no errors in the input expression, then · Calculate and display the value of the input expression. · Print the infix (in-order traversal), prefix (pre-order traversal) and postfix (post-order traversal) expressions of the input expression. For ease of your implementation and testing, your program shall input arithmetic expressions from a text file. To help build the binary expression tree, you shall use two stack type data structures, one helps manage operators from the arithmetic expression, and the other help manage the tree nodes for building the trees. The table below lists operation precedence and association orders. Operator Precedence (or Priority) Association Order ( ) 0 (highest precedence) left to right *, / 1 left to right +, - 2 left to right Use the following input arithmetic expressions to test your program: 1) (10.24 + 5.4 * 2.5) / 6.7 + (12.5 * 20.67 + 10) * 25 2) (10.24 + 5.4 * 2.5) / 6.7 + (12.5 * 20.67 + 10) * 25) 3) (10.24 + 5.4 * 2.5) / 6.7 + (12.5 * 20.67 + ) * 25 Note: · Expression 1 has no syntactic errors. · Expressions 2 and 3 have one error each.
cs3333-project-01-03rqwbvj.docx
Answered Same DayAug 24, 2021

Answer To: CSCI 3333 Project One Binary Arithmetic Expression Trees Problem Description This project is about...

Abhishek answered on Aug 30 2021
162 Votes
Project/CMakeLists.txt
cmake_minimum_required(VERSION 3.17)
project(Project)
set(CMAKE_CXX_STANDARD 14)
add_executable(Project main.cpp)
Project/main.cpp
#include
#include
using namespace std;
int precedence(char op){
if(op == '+'||op == '-')
return 1;
if(op == '*'||op == '/')
return 2;
return 0;
}
int applyOp(int a, int b, char op){
switch(op){
case '+': return a + b;
case '-': return a - b;
case '*': return a * b;
case '/': return a / b;
default: return 0;
}
}
// Function that returns value of
// expression after evaluation.
int evaluate(string tokens){
int i;
// stack to store integer values.
stack values;
// stack to store operators.
stack ops;
for(i = 0; i < tokens.length(); i++){
// Current token is a whitespace,
// skip it.
if(tokens[i] == ' ')
continue;
// Current token is an opening
// brace, push it to 'ops'
else if(tokens[i] == '('){
ops.push(tokens[i]);
}
// Current token is a number, push
// it to stack for numbers.
else if(isdigit(tokens[i])){
int val = 0;
// There may be more than one
// digits in number.
while(i < tokens.length() &&
isdigit(tokens[i]))
{
val = (val*10) + (tokens[i]-'0');
i++;
}
values.push(val);
}
// Closing brace encountered, solve
// entire brace.
else if(tokens[i] == ')')
{
while(!ops.empty() && ops.top() != '(')
{
int val2 = values.top();
values.pop();
int val1 = values.top();
values.pop();
char op = ops.top();
ops.pop();
values.push(applyOp(val1, val2, op));
}
// pop opening brace.
if(!ops.empty())
ops.pop();
}
// Current token is an operator.
else
{
// While top of 'ops' has same or greater
// precedence to current token, which
// is an operator. Apply operator on top
// of 'ops' to top two elements in values stack.
while(!ops.empty() && precedence(ops.top())
>= precedence(tokens[i])){
int val2 = values.top();
values.pop();
int val1 = values.top();
values.pop();
char op = ops.top();
ops.pop();
values.push(applyOp(val1, val2, op));
}
// Push current token to 'ops'.
ops.push(tokens[i]);
}
}
// Entire expression has been parsed at this
// point, apply remaining ops to remaining
// values.
while(!ops.empty()){
int val2 = values.top();
values.pop();
int val1 = values.top();
values.pop();
char op = ops.top();
ops.pop();
values.push(applyOp(val1, val2, op));
}
// Top of 'values' contains result, return it.
return values.top();
}
int check(string token){
return evaluate(std::move(token));
}
int main() {
string a;
string b;
string c;
string d;
a = "10 + 2 * 6";
b = "100 * 2 + 12";
c = "100 * ( 2 + 12)";
d = "100 * ( 2 + 12) / 14";
cout << a << endl;
cout << b << endl;
cout << c << endl;
cout << d << endl;
string foo[] = {a, b, c, d};
for (const auto &i: foo) {
int e;
e = check(i);
cout << e << endl;
}
return 0;
}
Project/.idea/workspace.xml





















































1598729628965


1598729628965

























Project/.idea/Project.iml

Project/.idea/misc.xml


Project/.idea/modules.xml






Project/.idea/.gitignore
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/workspace.xml
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/dataSources/
/dataSources.local.xml
# Editor-based HTTP Client requests
/httpRequests/
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//CXX compiler system include directories
CMAKE_EXTRA_GENERATOR_CXX_SYSTEM_INCLUDE_DIRS:INTERNAL=/usr/include/c++/9;/usr/include/x86_64-linux-gnu/c++/9;/usr/include/c++/9/backward;/usr/lib/gcc/x86_64-linux-gnu/9/include;/usr/local/include;/usr/include/x86_64-linux-gnu;/usr/include
//C compiler system defined macros
CMAKE_EXTRA_GENERATOR_C_SYSTEM_DEFINED_MACROS:INTERNAL=__STDC__;1;__STDC_VERSION__;201710L;__STDC_UTF_16__;1;__STDC_UTF_32__;1;__STDC_HOSTED__;1;__GNUC__;9;__GNUC_MINOR__;3;__GNUC_PATCHLEVEL__;0;__VERSION__;"9.3.0";__ATOMIC_RELAXED;0;__ATOMIC_SEQ_CST;5;__ATOMIC_ACQUIRE;2;__ATOMIC_RELEASE;3;__ATOMIC_ACQ_REL;4;__ATOMIC_CONSUME;1;__pic__;2;__PIC__;2;__pie__;2;__PIE__;2;__FINITE_MATH_ONLY__;0;_LP64;1;__LP64__;1;__SIZEOF_INT__;4;__SIZEOF_LONG__;8;__SIZEOF_LONG_LONG__;8;__SIZEOF_SHORT__;2;__SIZEOF_FLOAT__;4;__SIZEOF_DOUBLE__;8;__SIZEOF_LONG_DOUBLE__;16;__SIZEOF_SIZE_T__;8;__CHAR_BIT__;8;__BIGGEST_ALIGNMENT__;16;__ORDER_LITTLE_ENDIAN__;1234;__ORDER_BIG_ENDIAN__;4321;__ORDER_PDP_ENDIAN__;3412;__BYTE_ORDER__;__ORDER_LITTLE_ENDIAN__;__FLOAT_WORD_ORDER__;__ORDER_LITTLE_ENDIAN__;__SIZEOF_POINTER__;8;__SIZE_TYPE__;long unsigned int;__PTRDIFF_TYPE__;long int;__WCHAR_TYPE__;int;__WINT_TYPE__;unsigned int;__INTMAX_TYPE__;long int;__UINTMAX_TYPE__;long unsigned int;__CHAR16_TYPE__;short unsigned int;__CHAR32_TYPE__;unsigned int;__SIG_ATOMIC_TYPE__;int;__INT8_TYPE__;signed char;__INT16_TYPE__;short int;__INT32_TYPE__;int;__INT64_TYPE__;long int;__UINT8_TYPE__;unsigned char;__UINT16_TYPE__;short unsigned int;__UINT32_TYPE__;unsigned int;__UINT64_TYPE__;long unsigned int;__INT_LEAST8_TYPE__;signed char;__INT_LEAST16_TYPE__;short int;__INT_LEAST32_TYPE__;int;__INT_LEAST64_TYPE__;long int;__UINT_LEAST8_TYPE__;unsigned char;__UINT_LEAST16_TYPE__;short unsigned int;__UINT_LEAST32_TYPE__;unsigned int;__UINT_LEAST64_TYPE__;long unsigned int;__INT_FAST8_TYPE__;signed char;__INT_FAST16_TYPE__;long int;__INT_FAST32_TYPE__;long int;__INT_FAST64_TYPE__;long int;__UINT_FAST8_TYPE__;unsigned char;__UINT_FAST16_TYPE__;long unsigned int;__UINT_FAST32_TYPE__;long unsigned int;__UINT_FAST64_TYPE__;long unsigned int;__INTPTR_TYPE__;long int;__UINTPTR_TYPE__;long unsigned 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