Question

I am writing library which can do map/fold operations on ranges. I need to do these with operators. I am not very familiar with functional programming and I’ve tentatively selected * for map and || for fold. So to find (brute force algorithm) maximum of cos(x) in interval: 8 < x < 9:

double maximum = ro::range(8, 9, 0.01) * std::cos  || std::max;

In above, ro::range can be replaced with any STL container.

I don’t want to be different if there is any convention for map/fold operators. My question is: is there a math notation or does any language uses operators for map/fold?

** EDIT **

For those who asked, below is small demo of what RO currently can do. scc is small utility which can evaluate C++ snippets.

// Can print ranges, container, tuples, etc directly (vint is vector<int>) :
scc 'vint V{1,2,3};  V'
{1,2,3}

// Classic pipe. Alogorithms are from std::
scc 'vint{3,1,2,3} | sort | unique | reverse'
{3, 2, 1}

// Assign 42 to [2..5)
scc 'vint V=range(0,9);   range(V/2, V/5) = 42;  V'
{0, 1, 42, 42, 42, 5, 6, 7, 8, 9}


// concatenate vector of strings ('add' is shotcut for std::plus<T>()):
scc 'vstr V{"aaa", "bb", "cccc"};  V || add'
aaabbcccc

// Total length of strings in vector of strings
scc 'vstr V{"aaa", "bb", "cccc"};  V * size ||  (_1+_2)'
9

// Assign to c-string, then append `"XYZ"` and then remove `"bc"` substring :
scc 'char s[99];  range(s) = "abc";  (range(s) << "XYZ") - "bc"'
aXYZ


// Remove non alpha-num characters and convert to upper case
scc '(range("abc-123, xyz/") | isalnum) * toupper'
ABC123XYZ


// Hide phone number:
scc "str S=\"John Q Public  (650)1234567\";  S|isdigit='X';  S"
John Q Public  (XXX)XXXXXXX

Answer 1

Of the languages I know, there is no standard way for folding. Scala uses operators /: and :\ as well as metthod names, Lisp has reduce, Haskell has foldl.

map on the other hand is more common to find simply as map in all the languages I know.