A useful technique for performing high precision math is to represent numbers as rationals, that is by the ratio of two integers. In this assignment you will implement the four functions described below, which provide the basic calculation operations on rational numbers. The functions you are to implement are as follows:
bool ratAdd(int ln, int ld, int rn, int rd, int& on, int& od)
Addition of the rational numbers.
bool ratSub(int ln, int ld, int rn, int rd, int& on, int& od)
Subtraction of the rational numbers.
bool ratMult(int ln, int ld, int rn, int rd, int& on, int& od)
Multiplication of the rational numbers.
bool ratDiv(int ln, int ld, int rn, int rd, int& on, int& od)
Division of the rational numbers.
In all cases:
ln/ld and rn/rd are the left and right operand, respectively,
on/od is the result, which must be expressed in lowest terms, and
the returned value is false if and only if a denominator is 0.
This is another programming assignment of mine, have no idea how i would even start! Any help is appreciated!
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C++ is a fucking joke. Look how much code you have to write manually to make your program perform a trivial task. Python or Haskell version can be written in one line and only takes 10 to 30 seconds to come up with.
(from http://stackoverflow.com/questions/1565406/c-linq-like-iterator-operations)
auto begin = make_transform_iterator(construct<std::string>('*', _1),
make_filter_iterator(_1 > 2, vec.begin())
);
auto end = make_transform_iterator(construct<std::string>('*', _1),
make_filter_iterator(_1 > 2, vec.end())
);
Avoiding the use of lambda makes things verbose, but manageable:
struct MakeStringOf{
MakeStringOf(char C) : m_C(C){}
char m_C;
[code]ln rn ln rd + rn ld
-- + -- = -------------
ld rd ld rd[code]
The rest are obvious. You can shorten any rational to its minimal size by dividing numerator and denominator by the gcd of both. For that you'll want to implement the binary gcd algorithm (can be found on wikipedia)
>>11
I guess you could typedef a struct of two ints to return, but it's considered bad practice to return more than can fit in a single eax.
The return value can be 'false' for error cases (division by zero, etc) and the answer is set in the od/on parameters (passed as references)
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