Using ANTLR to implement a reverse Polish calculator

We will leverage ANTLR to implement a reverse polish calculator. Write code in Java.

$1.$ Write the grammar for the following mathematical operations in ANTLR:

$$ Arithmetic operations: $**($power$)$

$$ Logarithmic functions: log $($base $10),$ ln $($base e$)$

$$ Trigonometric functions: sin$,$ cos$,$ tan$,$ asin, acos, and atan

$$ Hyperbolic trigonometric functions: sinh$,$ cosh$,$ tanh

$$ Factorial function:

$$ Special number: e $($Euler number$),$ pi $(\backslash$pi $)$

$()$ to override operator precedence.

$$ Numbers: integer, float, and scientific

$2.$ Generate lexer and parser code from ANTLR grammar.

$3.$ Implement code to generate reverse Polish expression from input and the computation result, up to the $5$th decimal place.

$$ Do NOT print trailing $0$s after the decimal point.

$$ If there is no trailing $0$s after the decimal point, do not print the decimal point. Only print the integer part.

$4.$ Write unit tests.

Here are some input and output examples:

Input expression

Reverse Polish expression

Computation result

e$.$g$.$ input: sin$($pi$/6)$ reverse: pi $6/$ sin result: $0\mathrm{.}5$

Code input and output:

$$ Your code should read from standard input, not from file.

$$ Input will include one infix expression on each line.

$$ Your output should include $3$ lines per each input:

$1$st line: the infix expression

$2$nd line: the reverse polish expression, one space character between operators and operands

$3$rd line: the value of the expression per specification above