codegen plugin for Coq

This software provides Coq commands to generate C source code from Gallina definitions.

Home page

https://github.com/akr/codegen

Features

• Simple Gallina to C translation (the translated code corresponds strict evaluation of Gallina term)
• Monomorphization by partial evaluation
• Customizable inductive type implementation in C
• Linearity checker for safe destructive update of values
• Borrow checker to ease read only access of linear values
• Downward-only closures (functions can be passed as arguments but return values cannot contain functions)
• Guaranteed tail recursion elimination

Requiements

You need Coq and OCaml.

• Coq 8.19 (Coq 8.18 doesn't work)
• OCaml 5.1.1

You also need following to test codegen.

• ocamlfind 1.9.6
• ounit2 2.2.7 (ounit2 2.2.5 doesn't work)

How to build, test and install

make
make check          # optional
make install

Interactive Examples

Codegen can be used interactively. This is useful to examine C code generated from a Gallina function.

Require Import codegen.codegen.

Fixpoint add m n :=
  match m with
  | O => n
  | S m' => add m' (S n)
  end.

CodeGen Gen add.
(*
nat
add(nat v1_m, nat v2_n)
{
  nat v3_m_;
  nat v4_n;
  entry_add:
  switch (sw_nat(v1_m))
  {
    default:
      return v2_n;
    case S_tag:
      v3_m_ = S_get_member_0(v1_m);
      v4_n = S(v2_n);
      v1_m = v3_m_;
      v2_n = v4_n;
      goto entry_add;
  }
}
*)

This code assumes nat type is defined in C. Also, sw_nat, S_tag, S_get_member_0 and S are should be defined in C.

We can define them as follows. (Integer overflow is ignored here.)

typedef nat uint64_t;
#define sw_nat(n) ((n) == 0)
#define S_tag 0
#define S_get_member_0(n) ((n) - 1)
#define S(n) ((n) + 1)

It is possible to configure code generation of inductive types.

Require Import codegen.codegen.

Fixpoint add m n :=
  match m with
  | O => n
  | S m' => add m' (S n)
  end.

CodeGen IndType nat => "uint64_t" swfunc "" with
| O => constant "0" case "0"                  (* case "0" means "case 0:" in C switch statement *)
| S => primitive "S" case "" accessor "pred". (* case "" means "default:" in C switch statement *)

CodeGen Gen add.
(*
uint64_t
add(uint64_t v1_m, uint64_t v2_n)
{
  uint64_t v3_m_;
  uint64_t v4_n;
  entry_add:
  switch (v1_m)
  {
    case 0:
      return v2_n;
    default:
      v3_m_ = pred(v1_m);
      v4_n = succ(v2_n);
      v1_m = v3_m_;
      v2_n = v4_n;
      goto entry_add;
  }
}
*)

We can use more simpler definition of nat type in C.

#define pred(n) ((n) - 1)
#define succ(n) ((n) + 1)

Non-interactive Examples

Codegen can be used non-interactively. This is useful as a part of a project.

power function:

coqc -Q theories codegen -I src sample/pow.v # generates sample/pow_generated.c
gcc -g -Wall sample/pow.c -o sample/pow
sample/pow

rank algorithm of succinct data structure:

coqc -Q theories codegen -I src sample/rank.v # generates sample/rank_generated.c
gcc -g -Wall sample/rank.c -o sample/rank
sample/rank rand
sample/rank 11011110001010101111

sprintf function:

coqc -Q theories codegen -I src sample/sprintf.v # generates sample/sprintf_generated.c
gcc -g -Wall sample/sprintf.c -o sample/sprintf
sample/sprintf

Links

• Project Page https://github.com/akr/codegen
• Formatted development memo https://akr.github.io/codegen-doc/

Authors

• Tanaka Akira
• Reynald Affeldt
• Jacques Garrigue

Acknowledgment

This work is supported by JSPS KAKENHI Grant Number 15K12013 (2015-04-01 to 2018-03-31).

Copyright

Copyright (C) 2016- National Institute of Advanced Industrial Science and Technology (AIST) "monomorphization plugin for Coq" AIST program registration number: H29PRO-2090

License

GNU Lesser General Public License Version 2.1 or later