In visual studio code: $-$ Write a function named NumDigits that takes an integer parameter and returns the number of digits in the integer. Deliverable: problem$3$functions.h and problem$3$functions.cpp

Example calls:

$-$ NumDigits$(1078)$ should return $4$

$-$ NumDigits$(-10)$ should return $2$

$-$ Write a function named FindAndReplace that replaces digits within an integer variable.

The function will take an integer variable to search, a positive integer to find, and a

positive integer to replace as arguments. The function should find all occurrences of the

find integer within the integer variable and replace them with replace integer, moving

from right to left.

Preconditions: the second and third arguments should be positive integers, and

the second argument should contain at least as many digits as the third

argument. If the preconditions are not met, the function should return false and

leave the first argument unchanged.

Example calls:

$-$ x $=12325$;

FindAndReplace$($x$,2,7)$; the function should return true, and after

the function call x should hold $17375$

$-$ x $=11811$;

FindAndReplace$($x$,11,6)$; $-$ the function should return true, and after the

function call x should hold $6806$

$-$ x $=118111$; FindAndReplace$($x$,11,23)$; $-$ the function should return true,

and after the function call x should hold $238123$

$-$ x $=10345$;

FindAndReplace$($x$,3,10)$; $-$ the function should return false because the

second argument has fewer digits $(1)$ than the third argument $(2),$ and

after the function call x should hold $10345$

$-$ x $=18$;

$-$ FindAndReplace$($x$,-1,1)$; $-$ the function should return false because the

second argument is negative, and after the function call x should hold $18$

Specifications:

$-$ Both function prototypes should be included in problem$3.$h

$-$ Both functions should be implemented in problem$3.$cpp

$$

A makefile and some minimal unit tests have been included in problem$3$tests.zip. You are

encouraged to create more rigorous tests. To run the test provided, create a directory containing

only your problem$3$functions.h file, your problem$3$functions.cpp file, and the files extracted from the attached problem$3$tests.zip. Then type

make testNumDigits

make testFindAndReplace

$$

# makefile for problem $3$

#

#$$ $@ target

# $$<$ first prerequisite

# $$^$ all prerequisites

$$

flags $=-$std$=$c$++17-$Wall $-$I $.$

$$

problem$3$functions.o : problem$3$functions.cpp problem$3$functions.h

$$ g$++$ $$($flags$)-$c $$<$

$$

testNumDigits : testNumDigits.cpp problem$3$functions.o

$$ g$++$ $$($flags$)$ $$^-$o $@

$$ $@

$$

testFindAndReplace : testFindAndReplace.cpp problem$3$functions.o

$$ g$++$ $$($flags$)$ $$^-$o $@

$$ $@

$$

$$

$$