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+Introduction
+============
+
+.. module:: fun
+
+**Lua Fun** is a high-performance functional programming library
+designed for `LuaJIT tracing just-in-time compiler
+<http://luajit.org/luajit.html>`_.
+
+The library provides a set of more than 50 programming primitives typically
+found in languages like Standard ML, Haskell, Erlang, JavaScript, Python and
+even Lisp. High-order functions such as :func:`map`, :func:`filter`,
+:func:`reduce`, :func:`zip` will help you to **write simple and efficient
+functional code**.
+
+Let's see an example:
+
+.. code-block:: lua
+   :emphasize-lines: 2, 4
+
+    -- Functional style
+    require "fun" ()
+    n = 100
+    x = sum(map(function(x) return x^2 end, take(n, tabulate(math.sin))))
+    -- calculate sum(sin(x)^2 for x in 0..n-1)
+    print(x)
+    50.011981355266
+
+.. code-block:: lua
+   :emphasize-lines: 2, 4
+
+    -- Object-oriented style
+    local fun = require "fun"
+    n = 100
+    x = fun.tabulate(math.sin):take(n):map(function(x) return x^2 end):sum()
+    -- calculate sum(sin(x)^2 for x in 0..n-1)
+    print(x)
+    50.011981355266
+
+**Lua Fun** takes full advantage of the innovative **tracing JIT compiler**
+to achieve transcendental performance on nested functional expressions.
+Functional compositions and high-order functions can be translated into
+**efficient machine code**. Can you believe it? Just try to run the example above
+with ``luajit -jdump`` and see what happens:
+
+.. code-block:: none
+   :emphasize-lines: 2,14
+
+    -- skip some initilization code --
+    ->LOOP:
+    0bcaffd0  movsd [rsp+0x8], xmm7
+    0bcaffd6  addsd xmm4, xmm5
+    0bcaffda  ucomisd xmm6, xmm1
+    0bcaffde  jnb 0x0bca0028        ->6
+    0bcaffe4  addsd xmm6, xmm0
+    0bcaffe8  addsd xmm7, xmm0
+    0bcaffec  fld qword [rsp+0x8]
+    0bcafff0  fsin
+    0bcafff2  fstp qword [rsp]
+    0bcafff5  movsd xmm5, [rsp]
+    0bcafffa  mulsd xmm5, xmm5
+    0bcafffe  jmp 0x0bcaffd0        ->LOOP
+    ---- TRACE 1 stop -> loop
+
+
+The functional chain above was translated by LuaJIT to (!) **one machine loop**
+containing just 10 CPU assembly instructions without CALL. Unbelievable!
+
+Readable? Efficient? Can your Python/Ruby/V8 do better?