language agnostic - Does this higher order function have a name? -

i see pattern everywhere in code, , in libraries, yet there appears no name or abstraction of can find anywhere.

example (pseudocode)

t foo( t x, void f(t&) ) {     t y = x;     f( y );     return y; } 

basically: take value, , function transforms value. make of copy of value, transform it, , return it.

real-life examples (c++)

t operator+(const t& x, const t& y) {     t z = x; // make copy     operator+=(z, y); // modify in place     return z; }  vector3 vector3::normalized() const {     vector3 x = *this; // make copy     x.normalize(); // modify in place     return x; }  t sorted(t const& x) {     t y = x; // make copy (yeah, yeah, have passed value)     sort( y ); // modify in place     return y; } 

basically, have in place function (with side-effects) , make out-of-place function (without side-effects) out of it.

is there name pattern? know of libraries or languages use it? functional languages won't use because don't have referentially opaque functions begin with.

it's in mathematics , fp called composition, because express mystery_function(x, fun) = fun(copy(x)) instead.

in design patterns linguo, it's wrapper, wraps function call copy. rather naturally call copy wrapper. never saw classified anywhere.