phobos/std/functional.d
Andrei Alexandrescu abd1f93a75 added curry
2009-04-11 20:38:58 +00:00

512 lines
14 KiB
D

// Written in the D programming language.
/**
Functions that manipulate other functions.
Macros:
WIKI = Phobos/StdFunctional
Author:
$(WEB erdani.org, Andrei Alexandrescu)
*/
/*
* Copyright (C) 2004-2006 by Digital Mars, www.digitalmars.com
* Written by Andrei Alexandrescu, www.erdani.org
*
* This software is provided 'as-is', without any express or implied
* warranty. In no event will the authors be held liable for any damages
* arising from the use of this software.
*
* Permission is granted to anyone to use this software for any purpose,
* including commercial applications, and to alter it and redistribute it
* freely, subject to the following restrictions:
*
* o The origin of this software must not be misrepresented; you must not
* claim that you wrote the original software. If you use this software
* in a product, an acknowledgment in the product documentation would be
* appreciated but is not required.
* o Altered source versions must be plainly marked as such, and must not
* be misrepresented as being the original software.
* o This notice may not be removed or altered from any source
* distribution.
*/
module std.functional;
import std.metastrings, std.stdio, std.traits, std.typecons, std.typetuple;
// for making various functions visible in *naryFun
import std.algorithm, std.contracts, std.conv, std.math, std.range, std.string;
/**
Transforms a string representing an expression into a unary
function. The string must use symbol name $(D a) as the parameter.
Example:
----
alias unaryFun!("(a & 1) == 0") isEven;
assert(isEven(2) && !isEven(1));
----
*/
template unaryFun(alias funbody, bool byRef = false, string parmName = "a")
{
alias unaryFunImpl!(funbody, byRef, parmName).result unaryFun;
}
template unaryFunImpl(alias fun, bool byRef, string parmName = "a")
{
static if (is(typeof(fun) : string))
{
template Body(ElementType)
{
enum testAsExpression = "{"~ElementType.stringof
~" "~parmName~"; return ("~fun~");}()";
enum testAsStmts = "{"~ElementType.stringof
~" "~parmName~"; "~fun~"}()";
// pragma(msg, "Expr: "~testAsExpression);
// pragma(msg, "Stmts: "~testAsStmts);
static if (__traits(compiles, mixin(testAsExpression)))
{
enum string code = "return (" ~ fun ~ ");";
alias typeof(mixin(testAsExpression)) ReturnType;
}
// else static if (__traits(compiles, mixin(testAsStmts)))
// {
// enum string code = fun;
// alias typeof(mixin(testAsStmts)) ReturnType;
// }
else
{
// Credit for this idea goes to Don Clugston
// static assert is a bit broken,
// better to do it this way to provide a backtrace.
// pragma(msg, "Bad unary function: " ~ fun ~ " for type "
// ~ ElementType.stringof);
static assert(false, "Bad unary function: " ~ fun ~
" for type " ~ ElementType.stringof);
}
}
static if (byRef)
{
Body!(ElementType).ReturnType result(ElementType)(ref ElementType a)
{
mixin(Body!(ElementType).code);
}
}
else
{
Body!(ElementType).ReturnType result(ElementType)(ElementType __a)
{
mixin("alias __a "~parmName~";");
mixin(Body!(ElementType).code);
}
// string mixme = "Body!(ElementType).ReturnType"
// " result(ElementType)(ElementType a)
// { " ~ Body!(ElementType).code ~ " }";
// mixin(mixme);
}
}
else
{
alias fun result;
}
}
unittest
{
static int f1(int a) { return a + 1; }
static assert(is(typeof(unaryFun!(f1)(1)) == int));
assert(unaryFun!(f1)(41) == 42);
int f2(int a) { return a + 1; }
static assert(is(typeof(unaryFun!(f2)(1)) == int));
assert(unaryFun!(f2)(41) == 42);
assert(unaryFun!("a + 1")(41) == 42);
//assert(unaryFun!("return a + 1;")(41) == 42);
}
/**
Transforms a string representing an expression into a Boolean binary
predicate. The string must use symbol names $(D a) and $(D b) as the
compared elements.
Example:
----
alias binaryFun!("a < b") less;
assert(less(1, 2) && !less(2, 1));
alias binaryFun!("a > b") greater;
assert(!greater("1", "2") && greater("2", "1"));
----
*/
template binaryFun(alias funbody, string parm1Name = "a",
string parm2Name = "b")
{
alias binaryFunImpl!(funbody, parm1Name, parm2Name).result binaryFun;
}
template binaryFunImpl(alias fun,
string parm1Name, string parm2Name)
{
static if (is(typeof(fun) : string))
{
template Body(ElementType1, ElementType2)
{
enum testAsExpression = "{"~ElementType1.stringof
~" "~parm1Name~"; "~ElementType2.stringof
~" "~parm2Name~"; return ("~fun~");}()";
enum testAsStmts = "{"~ElementType1.stringof
~" "~parm1Name~"; "~ElementType2.stringof
~" "~parm2Name~"; "~fun~"}()";
static if (__traits(compiles, mixin(testAsExpression)))
{
enum string code = "return (" ~ fun ~ ");";
alias typeof(mixin(testAsExpression)) ReturnType;
}
// else static if (__traits(compiles, mixin(testAsStmts)))
// {
// enum string code = fun;
// alias typeof(mixin(testAsStmts)) ReturnType;
// }
else
{
// Credit for this idea goes to Don Clugston
enum string msg =
"Bad binary function q{" ~ fun ~ "}."
~" You need to use a valid D expression using symbols "
~parm1Name~" of type "~ElementType1.stringof~" and "
~parm2Name~" of type "~ElementType2.stringof~"."
~(fun.length && fun[$ - 1] == ';'
? " The trailing semicolon is _not_ needed."
: "")
~(fun.length && fun[$ - 1] == '}'
? " The trailing bracket is mistaken."
: "");
static assert(false, msg);
}
}
Body!(ElementType1, ElementType2).ReturnType
result(ElementType1, ElementType2)
(ElementType1 __a, ElementType2 __b)
{
mixin("alias __a "~parm1Name~";");
mixin("alias __b "~parm2Name~";");
mixin(Body!(ElementType1, ElementType2).code);
}
}
else
{
alias fun result;
}
// static if (is(typeof(comp) : string))
// {
// // @@@BUG1816@@@: typeof(mixin(comp)) should work
// typeof({
// static ElementType1 a;
// static ElementType2 b;
// return mixin(comp);
// }())
// binaryFun(ElementType1, ElementType2)
// (ElementType1 a, ElementType2 b)
// {
// return mixin(comp);
// }
// }
// else
// {
// alias comp binaryFun;
// }
}
unittest
{
alias binaryFun!(q{a < b}) less;
assert(less(1, 2) && !less(2, 1));
assert(less("1", "2") && !less("2", "1"));
static int f1(int a, string b) { return a + 1; }
static assert(is(typeof(binaryFun!(f1)(1, "2")) == int));
assert(binaryFun!(f1)(41, "a") == 42);
string f2(int a, string b) { return b ~ "2"; }
static assert(is(typeof(binaryFun!(f2)(1, "1")) == string));
assert(binaryFun!(f2)(1, "4") == "42");
assert(binaryFun!("a + b")(41, 1) == 42);
//@@BUG
//assert(binaryFun!("return a + b;")(41, 1) == 42);
}
/*
Predicate that returns $(D_PARAM a < b).
*/
//bool less(T)(T a, T b) { return a < b; }
//alias binaryFun!(q{a < b}) less;
/*
Predicate that returns $(D_PARAM a > b).
*/
//alias binaryFun!(q{a > b}) greater;
/*
Predicate that returns $(D_PARAM a == b).
*/
//alias binaryFun!(q{a == b}) equalTo;
/*
Binary predicate that reverses the order of arguments, e.g., given
$(D pred(a, b)), returns $(D pred(b, a)).
*/
template binaryRevertArgs(alias pred)
{
typeof({ ElementType1 a; ElementType2 b; return pred(b, a);}())
binaryRevertArgs(ElementType1, ElementType2)(ElementType1 a, ElementType2 b)
{
return pred(b, a);
}
}
unittest
{
alias binaryRevertArgs!(binaryFun!("a < b")) gt;
assert(gt(2, 1) && !gt(1, 1));
int x = 42;
bool xyz(int a, int b) { return a * x < b / x; }
auto foo = &xyz;
foo(4, 5);
alias binaryRevertArgs!(foo) zyx;
assert(zyx(5, 4) == foo(4, 5));
}
/**
Negates predicate $(D pred).
Example:
----
string a = " Hello, world!";
assert(find!(not!isspace)(a) == "Hello, world!");
----
*/
template not(alias pred)
{
bool not(T...)(T args) { return !pred(args); }
}
/**
Curries $(D fun) by tying its first argument to a particular value.
Example:
----
int fun(int a, int b) { return a + b; }
assert(curry!(fun, 5)(6) == 11);
----
*/
template curry(alias fun, alias arg)
{
ReturnType!fun curry(ParameterTypeTuple!(fun)[1] arg2)
{
return fun(arg, arg2);
}
}
unittest
{
static int f1(int a, int b) { return a + b; }
assert(curry!(f1, 5)(6) == 11);
int x = 5;
int f2(int a, int b) { return a + b; }
assert(curry!(f2, x)(6) == 11);
auto f3 = &curry!(f2, x);
assert(f3(6) == 11);
}
/*private*/ template Adjoin(F...)
{
template For(V...)
{
static if (F.length == 0)
{
alias TypeTuple!() Result;
}
else
{
alias F[0] headFun;
alias typeof({ V values; return headFun(values); }()) Head;
alias TypeTuple!(Head, Adjoin!(F[1 .. $]).For!(V).Result) Result;
}
Tuple!(Result) fun(V...)(V a)
{
typeof(return) result;
foreach (i, Unused; Result)
{
result.field[i] = F[i](a);
}
return result;
}
}
}
/**
Takes multiple functions and adjoins them together. The result is a
$(XREF typecons, Tuple) with one element per passed-in function. Upon
invocation, the returned tuple is the adjoined results of all
functions.
Example:
----
static bool f1(int a) { return a != 0; }
static int f2(int a) { return a / 2; }
auto x = adjoin!(f1, f2)(5);
assert(is(typeof(x) == Tuple!(bool, int)));
assert(x._0 == true && x.field[1] == 2);
----
*/
template adjoin(F...)
{
Tuple!(Adjoin!(F).For!(V).Result) adjoin(V...)(V a)
{
typeof(return) result;
foreach (i, Unused; Adjoin!(F).For!(V).Result)
{
result.field[i] = F[i](a);
}
return result;
}
}
unittest
{
static bool F1(int a) { return a != 0; }
static int F2(int a) { return a / 2; }
auto x = adjoin!(F1, F2)(5);
alias Adjoin!(F1, F2).For!(int).Result R;
assert(is(typeof(x) == Tuple!(bool, int)));
assert(x.field[0] && x.field[1] == 2);
}
// /*private*/ template NaryFun(string fun, string letter, V...)
// {
// static if (V.length == 0)
// {
// enum args = "";
// }
// else
// {
// enum args = V[0].stringof~" "~letter~"; "
// ~NaryFun!(fun, [letter[0] + 1], V[1..$]).args;
// enum code = args ~ "return "~fun~";";
// }
// alias void Result;
// }
// unittest
// {
// writeln(NaryFun!("a * b * 2", "a", int, double).code);
// }
// /**
// naryFun
// */
// template naryFun(string fun)
// {
// //NaryFun!(fun, "a", V).Result
// int naryFun(V...)(V values)
// {
// enum string code = NaryFun!(fun, "a", V).code;
// mixin(code);
// }
// }
// unittest
// {
// alias naryFun!("a + b") test;
// test(1, 2);
// }
/**
Composes passed-in functions $(D fun[0], fun[1], ...) returning a
function $(D f(x)) that in turn returns $(D
fun[0](fun[1](...(x)))...). Each function can be a regular
functions, a delegate, or a string.
Example:
----
// First split a string in whitespace-separated tokens and then
// convert each token into an integer
assert(compose!(map!(to!(int)), split)("1 2 3") == [1, 2, 3]);
----
*/
template compose(fun...) { alias composeImpl!(fun).doIt compose; }
// Implementation of compose
template composeImpl(fun...)
{
static if (fun.length == 2)
{
// starch
static if (is(typeof(fun[0]) : string))
alias unaryFun!(fun[0]) fun0;
else
alias fun[0] fun0;
static if (is(typeof(fun[1]) : string))
alias unaryFun!(fun[1]) fun1;
else
alias fun[1] fun1;
// protein: the core composition operation
typeof({ E a; return fun0(fun1(a)); }()) doIt(E)(E a)
{
return fun0(fun1(a));
}
}
else
{
// protein: assembling operations
alias composeImpl!(fun[0], composeImpl!(fun[1 .. $]).doIt).doIt doIt;
}
}
/**
Pipes functions in sequence. Offers the same functionality as $(D
compose), but with functions specified in reverse order. This may
lead to more readable code in some situation because the order of
execution is the same as lexical order.
Example:
----
// Read an entire text file, split the resulting string in
// whitespace-separated tokens, and then convert each token into an
// integer
int[] a = pipe!(readText, split, map!(to!(int)))("file.txt");
----
*/
template pipe(fun...)
{
alias compose!(Reverse!(fun)) pipe;
}
unittest
{
// string foo(int a) { return to!(string)(a); }
// int bar(string a) { return to!(int)(a) + 1; }
// double baz(int a) { return a + 0.5; }
// assert(compose!(baz, bar, foo)(1) == 2.5);
// assert(pipe!(foo, bar, baz)(1) == 2.5);
// assert(compose!(baz, `to!(int)(a) + 1`, foo)(1) == 2.5);
// assert(compose!(baz, bar)("1"[]) == 2.5);
// @@@BUG@@@
//assert(compose!(baz, bar)("1") == 2.5);
// @@@BUG@@@
//assert(compose!(`a + 0.5`, `to!(int)(a) + 1`, foo)(1) == 2.5);
}