CFEM.assemble

From Coq Require Import String List ZArith.
From compcert Require Import Coqlib Integers Floats AST Ctypes Cop Clight Clightdefs.
Import Clightdefs.ClightNotations.
Local Open Scope Z_scope.
Local Open Scope string_scope.
Local Open Scope clight_scope.

Module Info.
  Definition version := "3.15".
  Definition build_number := "".
  Definition build_tag := "".
  Definition build_branch := "".
  Definition arch := "aarch64".
  Definition model := "default".
  Definition abi := "apple".
  Definition bitsize := 64.
  Definition big_endian := false.
  Definition source_file := "../src/assemble.c".
  Definition normalized := true.
End Info.

Definition _A : ident := $"A".
Definition _P : ident := $"P".
Definition ___builtin_annot : ident := $"__builtin_annot".
Definition ___builtin_annot_intval : ident := $"__builtin_annot_intval".
Definition ___builtin_bswap : ident := $"__builtin_bswap".
Definition ___builtin_bswap16 : ident := $"__builtin_bswap16".
Definition ___builtin_bswap32 : ident := $"__builtin_bswap32".
Definition ___builtin_bswap64 : ident := $"__builtin_bswap64".
Definition ___builtin_cls : ident := $"__builtin_cls".
Definition ___builtin_clsl : ident := $"__builtin_clsl".
Definition ___builtin_clsll : ident := $"__builtin_clsll".
Definition ___builtin_clz : ident := $"__builtin_clz".
Definition ___builtin_clzl : ident := $"__builtin_clzl".
Definition ___builtin_clzll : ident := $"__builtin_clzll".
Definition ___builtin_ctz : ident := $"__builtin_ctz".
Definition ___builtin_ctzl : ident := $"__builtin_ctzl".
Definition ___builtin_ctzll : ident := $"__builtin_ctzll".
Definition ___builtin_debug : ident := $"__builtin_debug".
Definition ___builtin_expect : ident := $"__builtin_expect".
Definition ___builtin_fabs : ident := $"__builtin_fabs".
Definition ___builtin_fabsf : ident := $"__builtin_fabsf".
Definition ___builtin_fmadd : ident := $"__builtin_fmadd".
Definition ___builtin_fmax : ident := $"__builtin_fmax".
Definition ___builtin_fmin : ident := $"__builtin_fmin".
Definition ___builtin_fmsub : ident := $"__builtin_fmsub".
Definition ___builtin_fnmadd : ident := $"__builtin_fnmadd".
Definition ___builtin_fnmsub : ident := $"__builtin_fnmsub".
Definition ___builtin_fsqrt : ident := $"__builtin_fsqrt".
Definition ___builtin_membar : ident := $"__builtin_membar".
Definition ___builtin_memcpy_aligned : ident := $"__builtin_memcpy_aligned".
Definition ___builtin_sel : ident := $"__builtin_sel".
Definition ___builtin_sqrt : ident := $"__builtin_sqrt".
Definition ___builtin_unreachable : ident := $"__builtin_unreachable".
Definition ___builtin_va_arg : ident := $"__builtin_va_arg".
Definition ___builtin_va_copy : ident := $"__builtin_va_copy".
Definition ___builtin_va_end : ident := $"__builtin_va_end".
Definition ___builtin_va_start : ident := $"__builtin_va_start".
Definition ___compcert_i64_dtos : ident := $"__compcert_i64_dtos".
Definition ___compcert_i64_dtou : ident := $"__compcert_i64_dtou".
Definition ___compcert_i64_sar : ident := $"__compcert_i64_sar".
Definition ___compcert_i64_sdiv : ident := $"__compcert_i64_sdiv".
Definition ___compcert_i64_shl : ident := $"__compcert_i64_shl".
Definition ___compcert_i64_shr : ident := $"__compcert_i64_shr".
Definition ___compcert_i64_smod : ident := $"__compcert_i64_smod".
Definition ___compcert_i64_smulh : ident := $"__compcert_i64_smulh".
Definition ___compcert_i64_stod : ident := $"__compcert_i64_stod".
Definition ___compcert_i64_stof : ident := $"__compcert_i64_stof".
Definition ___compcert_i64_udiv : ident := $"__compcert_i64_udiv".
Definition ___compcert_i64_umod : ident := $"__compcert_i64_umod".
Definition ___compcert_i64_umulh : ident := $"__compcert_i64_umulh".
Definition ___compcert_i64_utod : ident := $"__compcert_i64_utod".
Definition ___compcert_i64_utof : ident := $"__compcert_i64_utof".
Definition ___compcert_va_composite : ident := $"__compcert_va_composite".
Definition ___compcert_va_float64 : ident := $"__compcert_va_float64".
Definition ___compcert_va_int32 : ident := $"__compcert_va_int32".
Definition ___compcert_va_int64 : ident := $"__compcert_va_int64".
Definition ___stringlit_1 : ident := $"__stringlit_1".
Definition ___stringlit_2 : ident := $"__stringlit_2".
Definition ___stringlit_3 : ident := $"__stringlit_3".
Definition _abort : ident := $"abort".
Definition _add : ident := $"add".
Definition _assemble_add : ident := $"assemble_add".
Definition _assemble_bandmat_add : ident := $"assemble_bandmat_add".
Definition _assemble_clear : ident := $"assemble_clear".
Definition _assemble_data_t : ident := $"assemble_data_t".
Definition _assemble_dense_add : ident := $"assemble_dense_add".
Definition _assemble_norm : ident := $"assemble_norm".
Definition _assemble_norm2 : ident := $"assemble_norm2".
Definition _assemble_print : ident := $"assemble_print".
Definition _assemble_t : ident := $"assemble_t".
Definition _assemble_vector : ident := $"assemble_vector".
Definition _assembler : ident := $"assembler".
Definition _b : ident := $"b".
Definition _bandmat_addto : ident := $"bandmat_addto".
Definition _bandmat_clear : ident := $"bandmat_clear".
Definition _bandmat_norm2 : ident := $"bandmat_norm2".
Definition _bandmat_print : ident := $"bandmat_print".
Definition _bandmat_t : ident := $"bandmat_t".
Definition _casted_bandmat_clear : ident := $"casted_bandmat_clear".
Definition _casted_bandmat_norm2 : ident := $"casted_bandmat_norm2".
Definition _casted_bandmat_print : ident := $"casted_bandmat_print".
Definition _casted_densemat_clear : ident := $"casted_densemat_clear".
Definition _casted_densemat_norm2 : ident := $"casted_densemat_norm2".
Definition _casted_densemat_print : ident := $"casted_densemat_print".
Definition _clear : ident := $"clear".
Definition _d : ident := $"d".
Definition _data : ident := $"data".
Definition _densemat_addto : ident := $"densemat_addto".
Definition _densemat_clear : ident := $"densemat_clear".
Definition _densemat_norm2 : ident := $"densemat_norm2".
Definition _densemat_print : ident := $"densemat_print".
Definition _densemat_t : ident := $"densemat_t".
Definition _emat : ident := $"emat".
Definition _i : ident := $"i".
Definition _ids : ident := $"ids".
Definition _ie : ident := $"ie".
Definition _init_assemble_band : ident := $"init_assemble_band".
Definition _init_assemble_dense : ident := $"init_assemble_dense".
Definition _j : ident := $"j".
Definition _je : ident := $"je".
Definition _m : ident := $"m".
Definition _main : ident := $"main".
Definition _n : ident := $"n".
Definition _ne : ident := $"ne".
Definition _norm2 : ident := $"norm2".
Definition _p : ident := $"p".
Definition _print : ident := $"print".
Definition _printf : ident := $"printf".
Definition _sqrt : ident := $"sqrt".
Definition _v : ident := $"v".
Definition _ve : ident := $"ve".
Definition _t'1 : ident := 128%positive.
Definition _t'2 : ident := 129%positive.
Definition _t'3 : ident := 130%positive.

Definition v___stringlit_2 := {|
  gvar_info := (tarray tschar 11);
  gvar_init := (Init_int8 (Int.repr 97) :: Init_int8 (Int.repr 115) ::
                Init_int8 (Int.repr 115) :: Init_int8 (Int.repr 101) ::
                Init_int8 (Int.repr 109) :: Init_int8 (Int.repr 98) ::
                Init_int8 (Int.repr 108) :: Init_int8 (Int.repr 101) ::
                Init_int8 (Int.repr 46) :: Init_int8 (Int.repr 99) ::
                Init_int8 (Int.repr 0) :: nil);
  gvar_readonly := true;
  gvar_volatile := false
|}.

Definition v___stringlit_1 := {|
  gvar_info := (tarray tschar 7);
  gvar_init := (Init_int8 (Int.repr 100) :: Init_int8 (Int.repr 32) ::
                Init_int8 (Int.repr 60) :: Init_int8 (Int.repr 61) ::
                Init_int8 (Int.repr 32) :: Init_int8 (Int.repr 98) ::
                Init_int8 (Int.repr 0) :: nil);
  gvar_readonly := true;
  gvar_volatile := false
|}.

Definition v___stringlit_3 := {|
  gvar_info := (tarray tschar 30);
  gvar_init := (Init_int8 (Int.repr 37) :: Init_int8 (Int.repr 115) ::
                Init_int8 (Int.repr 58) :: Init_int8 (Int.repr 37) ::
                Init_int8 (Int.repr 100) :: Init_int8 (Int.repr 58) ::
                Init_int8 (Int.repr 32) :: Init_int8 (Int.repr 102) ::
                Init_int8 (Int.repr 97) :: Init_int8 (Int.repr 105) ::
                Init_int8 (Int.repr 108) :: Init_int8 (Int.repr 101) ::
                Init_int8 (Int.repr 100) :: Init_int8 (Int.repr 32) ::
                Init_int8 (Int.repr 97) :: Init_int8 (Int.repr 115) ::
                Init_int8 (Int.repr 115) :: Init_int8 (Int.repr 101) ::
                Init_int8 (Int.repr 114) :: Init_int8 (Int.repr 116) ::
                Init_int8 (Int.repr 105) :: Init_int8 (Int.repr 111) ::
                Init_int8 (Int.repr 110) :: Init_int8 (Int.repr 32) ::
                Init_int8 (Int.repr 96) :: Init_int8 (Int.repr 37) ::
                Init_int8 (Int.repr 115) :: Init_int8 (Int.repr 39) ::
                Init_int8 (Int.repr 10) :: Init_int8 (Int.repr 0) :: nil);
  gvar_readonly := true;
  gvar_volatile := false
|}.

Definition f_assemble_add := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_assembler, (tptr (Tstruct _assemble_t noattr))) ::
                (_emat, (tptr tdouble)) :: (_ids, (tptr tint)) ::
                (_ne, tint) :: nil);
  fn_vars := nil;
  fn_temps := ((_t'2, (tptr (Tstruct _assemble_data_t noattr))) ::
               (_t'1,
                (tptr (Tfunction
                        ((tptr (Tstruct _assemble_data_t noattr)) ::
                         (tptr tdouble) :: (tptr tint) :: tint :: nil) tvoid
                        cc_default))) :: nil);
  fn_body :=
(Ssequence
  (Sset _t'1
    (Efield
      (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
        (Tstruct _assemble_t noattr)) _add
      (tptr (Tfunction
              ((tptr (Tstruct _assemble_data_t noattr)) :: (tptr tdouble) ::
               (tptr tint) :: tint :: nil) tvoid cc_default))))
  (Ssequence
    (Sset _t'2
      (Efield
        (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
          (Tstruct _assemble_t noattr)) _p
        (tptr (Tstruct _assemble_data_t noattr))))
    (Scall None
      (Ederef
        (Etempvar _t'1 (tptr (Tfunction
                               ((tptr (Tstruct _assemble_data_t noattr)) ::
                                (tptr tdouble) :: (tptr tint) :: tint :: nil)
                               tvoid cc_default)))
        (Tfunction
          ((tptr (Tstruct _assemble_data_t noattr)) :: (tptr tdouble) ::
           (tptr tint) :: tint :: nil) tvoid cc_default))
      ((Etempvar _t'2 (tptr (Tstruct _assemble_data_t noattr))) ::
       (Etempvar _emat (tptr tdouble)) :: (Etempvar _ids (tptr tint)) ::
       (Etempvar _ne tint) :: nil))))
|}.

Definition f_assemble_clear := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_assembler, (tptr (Tstruct _assemble_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := ((_t'2, (tptr (Tstruct _assemble_data_t noattr))) ::
               (_t'1,
                (tptr (Tfunction
                        ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
                        tvoid cc_default))) :: nil);
  fn_body :=
(Ssequence
  (Sset _t'1
    (Efield
      (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
        (Tstruct _assemble_t noattr)) _clear
      (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
              tvoid cc_default))))
  (Ssequence
    (Sset _t'2
      (Efield
        (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
          (Tstruct _assemble_t noattr)) _p
        (tptr (Tstruct _assemble_data_t noattr))))
    (Scall None
      (Ederef
        (Etempvar _t'1 (tptr (Tfunction
                               ((tptr (Tstruct _assemble_data_t noattr)) ::
                                nil) tvoid cc_default)))
        (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil) tvoid
          cc_default))
      ((Etempvar _t'2 (tptr (Tstruct _assemble_data_t noattr))) :: nil))))
|}.

Definition f_assemble_norm2 := {|
  fn_return := tdouble;
  fn_callconv := cc_default;
  fn_params := ((_assembler, (tptr (Tstruct _assemble_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := ((_t'1, tdouble) ::
               (_t'3, (tptr (Tstruct _assemble_data_t noattr))) ::
               (_t'2,
                (tptr (Tfunction
                        ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
                        tdouble cc_default))) :: nil);
  fn_body :=
(Ssequence
  (Ssequence
    (Sset _t'2
      (Efield
        (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
          (Tstruct _assemble_t noattr)) _norm2
        (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
                tdouble cc_default))))
    (Ssequence
      (Sset _t'3
        (Efield
          (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
            (Tstruct _assemble_t noattr)) _p
          (tptr (Tstruct _assemble_data_t noattr))))
      (Scall (Some _t'1)
        (Ederef
          (Etempvar _t'2 (tptr (Tfunction
                                 ((tptr (Tstruct _assemble_data_t noattr)) ::
                                  nil) tdouble cc_default)))
          (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
            tdouble cc_default))
        ((Etempvar _t'3 (tptr (Tstruct _assemble_data_t noattr))) :: nil))))
  (Sreturn (Some (Etempvar _t'1 tdouble))))
|}.

Definition f_assemble_norm := {|
  fn_return := tdouble;
  fn_callconv := cc_default;
  fn_params := ((_assembler, (tptr (Tstruct _assemble_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := ((_t'2, tdouble) :: (_t'1, tdouble) :: nil);
  fn_body :=
(Ssequence
  (Ssequence
    (Scall (Some _t'1)
      (Evar _assemble_norm2 (Tfunction
                              ((tptr (Tstruct _assemble_t noattr)) :: nil)
                              tdouble cc_default))
      ((Etempvar _assembler (tptr (Tstruct _assemble_t noattr))) :: nil))
    (Scall (Some _t'2)
      (Evar _sqrt (Tfunction (tdouble :: nil) tdouble cc_default))
      ((Etempvar _t'1 tdouble) :: nil)))
  (Sreturn (Some (Etempvar _t'2 tdouble))))
|}.

Definition f_assemble_print := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_assembler, (tptr (Tstruct _assemble_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := ((_t'2, (tptr (Tstruct _assemble_data_t noattr))) ::
               (_t'1,
                (tptr (Tfunction
                        ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
                        tvoid cc_default))) :: nil);
  fn_body :=
(Ssequence
  (Sset _t'1
    (Efield
      (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
        (Tstruct _assemble_t noattr)) _print
      (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
              tvoid cc_default))))
  (Ssequence
    (Sset _t'2
      (Efield
        (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
          (Tstruct _assemble_t noattr)) _p
        (tptr (Tstruct _assemble_data_t noattr))))
    (Scall None
      (Ederef
        (Etempvar _t'1 (tptr (Tfunction
                               ((tptr (Tstruct _assemble_data_t noattr)) ::
                                nil) tvoid cc_default)))
        (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil) tvoid
          cc_default))
      ((Etempvar _t'2 (tptr (Tstruct _assemble_data_t noattr))) :: nil))))
|}.

Definition f_casted_densemat_clear := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := nil;
  fn_body :=
(Scall None
  (Evar _densemat_clear (Tfunction
                          ((tptr (Tstruct _densemat_t noattr)) :: nil) tvoid
                          cc_default))
  ((Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
     (tptr (Tstruct _densemat_t noattr))) :: nil))
|}.

Definition f_casted_densemat_norm2 := {|
  fn_return := tdouble;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := ((_t'1, tdouble) :: nil);
  fn_body :=
(Ssequence
  (Scall (Some _t'1)
    (Evar _densemat_norm2 (Tfunction
                            ((tptr (Tstruct _densemat_t noattr)) :: nil)
                            tdouble cc_default))
    ((Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
       (tptr (Tstruct _densemat_t noattr))) :: nil))
  (Sreturn (Some (Etempvar _t'1 tdouble))))
|}.

Definition f_casted_densemat_print := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := nil;
  fn_body :=
(Scall None
  (Evar _densemat_print (Tfunction
                          ((tptr (Tstruct _densemat_t noattr)) :: nil) tvoid
                          cc_default))
  ((Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
     (tptr (Tstruct _densemat_t noattr))) :: nil))
|}.

Definition f_init_assemble_dense := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_assembler, (tptr (Tstruct _assemble_t noattr))) ::
                (_A, (tptr (Tstruct _densemat_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := nil;
  fn_body :=
(Ssequence
  (Sassign
    (Efield
      (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
        (Tstruct _assemble_t noattr)) _p
      (tptr (Tstruct _assemble_data_t noattr)))
    (Ecast (Etempvar _A (tptr (Tstruct _densemat_t noattr)))
      (tptr (Tstruct _assemble_data_t noattr))))
  (Ssequence
    (Sassign
      (Efield
        (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
          (Tstruct _assemble_t noattr)) _add
        (tptr (Tfunction
                ((tptr (Tstruct _assemble_data_t noattr)) ::
                 (tptr tdouble) :: (tptr tint) :: tint :: nil) tvoid
                cc_default)))
      (Evar _assemble_dense_add (Tfunction
                                  ((tptr (Tstruct _assemble_data_t noattr)) ::
                                   (tptr tdouble) :: (tptr tint) :: tint ::
                                   nil) tvoid cc_default)))
    (Ssequence
      (Sassign
        (Efield
          (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
            (Tstruct _assemble_t noattr)) _clear
          (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
                  tvoid cc_default)))
        (Evar _casted_densemat_clear (Tfunction
                                       ((tptr (Tstruct _assemble_data_t noattr)) ::
                                        nil) tvoid cc_default)))
      (Ssequence
        (Sassign
          (Efield
            (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
              (Tstruct _assemble_t noattr)) _norm2
            (tptr (Tfunction
                    ((tptr (Tstruct _assemble_data_t noattr)) :: nil) tdouble
                    cc_default)))
          (Evar _casted_densemat_norm2 (Tfunction
                                         ((tptr (Tstruct _assemble_data_t noattr)) ::
                                          nil) tdouble cc_default)))
        (Sassign
          (Efield
            (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
              (Tstruct _assemble_t noattr)) _print
            (tptr (Tfunction
                    ((tptr (Tstruct _assemble_data_t noattr)) :: nil) tvoid
                    cc_default)))
          (Evar _casted_densemat_print (Tfunction
                                         ((tptr (Tstruct _assemble_data_t noattr)) ::
                                          nil) tvoid cc_default)))))))
|}.

Definition f_casted_bandmat_clear := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := nil;
  fn_body :=
(Scall None
  (Evar _bandmat_clear (Tfunction ((tptr (Tstruct _bandmat_t noattr)) :: nil)
                         tvoid cc_default))
  ((Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
     (tptr (Tstruct _bandmat_t noattr))) :: nil))
|}.

Definition f_casted_bandmat_norm2 := {|
  fn_return := tdouble;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := ((_t'1, tdouble) :: nil);
  fn_body :=
(Ssequence
  (Scall (Some _t'1)
    (Evar _bandmat_norm2 (Tfunction
                           ((tptr (Tstruct _bandmat_t noattr)) :: nil)
                           tdouble cc_default))
    ((Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
       (tptr (Tstruct _bandmat_t noattr))) :: nil))
  (Sreturn (Some (Etempvar _t'1 tdouble))))
|}.

Definition f_casted_bandmat_print := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := nil;
  fn_body :=
(Scall None
  (Evar _bandmat_print (Tfunction ((tptr (Tstruct _bandmat_t noattr)) :: nil)
                         tvoid cc_default))
  ((Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
     (tptr (Tstruct _bandmat_t noattr))) :: nil))
|}.

Definition f_init_assemble_band := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_assembler, (tptr (Tstruct _assemble_t noattr))) ::
                (_b, (tptr (Tstruct _bandmat_t noattr))) :: nil);
  fn_vars := nil;
  fn_temps := nil;
  fn_body :=
(Ssequence
  (Sassign
    (Efield
      (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
        (Tstruct _assemble_t noattr)) _p
      (tptr (Tstruct _assemble_data_t noattr)))
    (Ecast (Etempvar _b (tptr (Tstruct _bandmat_t noattr)))
      (tptr (Tstruct _assemble_data_t noattr))))
  (Ssequence
    (Sassign
      (Efield
        (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
          (Tstruct _assemble_t noattr)) _add
        (tptr (Tfunction
                ((tptr (Tstruct _assemble_data_t noattr)) ::
                 (tptr tdouble) :: (tptr tint) :: tint :: nil) tvoid
                cc_default)))
      (Evar _assemble_bandmat_add (Tfunction
                                    ((tptr (Tstruct _assemble_data_t noattr)) ::
                                     (tptr tdouble) :: (tptr tint) :: tint ::
                                     nil) tvoid cc_default)))
    (Ssequence
      (Sassign
        (Efield
          (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
            (Tstruct _assemble_t noattr)) _clear
          (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
                  tvoid cc_default)))
        (Evar _casted_bandmat_clear (Tfunction
                                      ((tptr (Tstruct _assemble_data_t noattr)) ::
                                       nil) tvoid cc_default)))
      (Ssequence
        (Sassign
          (Efield
            (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
              (Tstruct _assemble_t noattr)) _norm2
            (tptr (Tfunction
                    ((tptr (Tstruct _assemble_data_t noattr)) :: nil) tdouble
                    cc_default)))
          (Evar _casted_bandmat_norm2 (Tfunction
                                        ((tptr (Tstruct _assemble_data_t noattr)) ::
                                         nil) tdouble cc_default)))
        (Sassign
          (Efield
            (Ederef (Etempvar _assembler (tptr (Tstruct _assemble_t noattr)))
              (Tstruct _assemble_t noattr)) _print
            (tptr (Tfunction
                    ((tptr (Tstruct _assemble_data_t noattr)) :: nil) tvoid
                    cc_default)))
          (Evar _casted_bandmat_print (Tfunction
                                        ((tptr (Tstruct _assemble_data_t noattr)) ::
                                         nil) tvoid cc_default)))))))
|}.

Definition f_assemble_dense_add := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) ::
                (_emat, (tptr tdouble)) :: (_ids, (tptr tint)) ::
                (_ne, tint) :: nil);
  fn_vars := nil;
  fn_temps := ((_A, (tptr (Tstruct _densemat_t noattr))) :: (_je, tint) ::
               (_j, tint) :: (_ie, tint) :: (_i, tint) :: (_t'1, tint) ::
               (_t'2, tdouble) :: nil);
  fn_body :=
(Ssequence
  (Sset _A
    (Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
      (tptr (Tstruct _densemat_t noattr))))
  (Ssequence
    (Sset _je (Econst_int (Int.repr 0) tint))
    (Sloop
      (Ssequence
        (Sifthenelse (Ebinop Olt (Etempvar _je tint) (Etempvar _ne tint)
                       tint)
          Sskip
          Sbreak)
        (Ssequence
          (Sset _j
            (Ederef
              (Ebinop Oadd (Etempvar _ids (tptr tint)) (Etempvar _je tint)
                (tptr tint)) tint))
          (Ssequence
            (Sset _ie (Econst_int (Int.repr 0) tint))
            (Sloop
              (Ssequence
                (Sifthenelse (Ebinop Ole (Etempvar _ie tint)
                               (Etempvar _je tint) tint)
                  Sskip
                  Sbreak)
                (Ssequence
                  (Sset _i
                    (Ederef
                      (Ebinop Oadd (Etempvar _ids (tptr tint))
                        (Etempvar _ie tint) (tptr tint)) tint))
                  (Ssequence
                    (Sifthenelse (Ebinop Oge (Etempvar _i tint)
                                   (Econst_int (Int.repr 0) tint) tint)
                      (Sset _t'1
                        (Ecast
                          (Ebinop Oge (Etempvar _j tint) (Etempvar _i tint)
                            tint) tbool))
                      (Sset _t'1 (Econst_int (Int.repr 0) tint)))
                    (Sifthenelse (Etempvar _t'1 tint)
                      (Ssequence
                        (Sset _t'2
                          (Ederef
                            (Ebinop Oadd (Etempvar _emat (tptr tdouble))
                              (Ebinop Oadd (Etempvar _ie tint)
                                (Ebinop Omul (Etempvar _ne tint)
                                  (Etempvar _je tint) tint) tint)
                              (tptr tdouble)) tdouble))
                        (Scall None
                          (Evar _densemat_addto (Tfunction
                                                  ((tptr (Tstruct _densemat_t noattr)) ::
                                                   tint :: tint :: tdouble ::
                                                   nil) tvoid cc_default))
                          ((Etempvar _A (tptr (Tstruct _densemat_t noattr))) ::
                           (Etempvar _i tint) :: (Etempvar _j tint) ::
                           (Etempvar _t'2 tdouble) :: nil)))
                      Sskip))))
              (Sset _ie
                (Ebinop Oadd (Etempvar _ie tint)
                  (Econst_int (Int.repr 1) tint) tint))))))
      (Sset _je
        (Ebinop Oadd (Etempvar _je tint) (Econst_int (Int.repr 1) tint) tint)))))
|}.

Definition f_assemble_bandmat_add := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_p, (tptr (Tstruct _assemble_data_t noattr))) ::
                (_emat, (tptr tdouble)) :: (_ids, (tptr tint)) ::
                (_ne, tint) :: nil);
  fn_vars := nil;
  fn_temps := ((_P, (tptr (Tstruct _bandmat_t noattr))) :: (_n, tint) ::
               (_b, tint) :: (_je, tint) :: (_j, tint) :: (_ie, tint) ::
               (_i, tint) :: (_d, tint) :: (_t'1, tint) :: (_t'2, tdouble) ::
               nil);
  fn_body :=
(Ssequence
  (Sset _P
    (Ecast (Etempvar _p (tptr (Tstruct _assemble_data_t noattr)))
      (tptr (Tstruct _bandmat_t noattr))))
  (Ssequence
    (Sset _n
      (Efield
        (Ederef (Etempvar _P (tptr (Tstruct _bandmat_t noattr)))
          (Tstruct _bandmat_t noattr)) _m tint))
    (Ssequence
      (Sset _b
        (Efield
          (Ederef (Etempvar _P (tptr (Tstruct _bandmat_t noattr)))
            (Tstruct _bandmat_t noattr)) _b tint))
      (Ssequence
        (Sset _je (Econst_int (Int.repr 0) tint))
        (Sloop
          (Ssequence
            (Sifthenelse (Ebinop Olt (Etempvar _je tint) (Etempvar _ne tint)
                           tint)
              Sskip
              Sbreak)
            (Ssequence
              (Sset _j
                (Ederef
                  (Ebinop Oadd (Etempvar _ids (tptr tint))
                    (Etempvar _je tint) (tptr tint)) tint))
              (Ssequence
                (Sset _ie (Econst_int (Int.repr 0) tint))
                (Sloop
                  (Ssequence
                    (Sifthenelse (Ebinop Ole (Etempvar _ie tint)
                                   (Etempvar _je tint) tint)
                      Sskip
                      Sbreak)
                    (Ssequence
                      (Sset _i
                        (Ederef
                          (Ebinop Oadd (Etempvar _ids (tptr tint))
                            (Etempvar _ie tint) (tptr tint)) tint))
                      (Ssequence
                        (Sset _d
                          (Ebinop Osub (Etempvar _j tint) (Etempvar _i tint)
                            tint))
                        (Ssequence
                          (Sifthenelse (Ebinop Oge (Etempvar _j tint)
                                         (Econst_int (Int.repr 0) tint) tint)
                            (Sset _t'1
                              (Ecast
                                (Ebinop Oge (Etempvar _d tint)
                                  (Econst_int (Int.repr 0) tint) tint) tbool))
                            (Sset _t'1 (Econst_int (Int.repr 0) tint)))
                          (Sifthenelse (Etempvar _t'1 tint)
                            (Ssequence
                              (Sifthenelse (Ebinop Ole (Etempvar _d tint)
                                             (Etempvar _b tint) tint)
                                Sskip
                                (Ssequence
                                  (Scall None
                                    (Evar _printf (Tfunction
                                                    ((tptr tschar) :: nil)
                                                    tint
                                                    {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|}))
                                    ((Evar ___stringlit_3 (tarray tschar 30)) ::
                                     (Evar ___stringlit_2 (tarray tschar 11)) ::
                                     (Econst_int (Int.repr 126) tint) ::
                                     (Evar ___stringlit_1 (tarray tschar 7)) ::
                                     nil))
                                  (Scall None
                                    (Evar _abort (Tfunction nil tvoid
                                                   cc_default)) nil)))
                              (Ssequence
                                (Sset _t'2
                                  (Ederef
                                    (Ebinop Oadd
                                      (Etempvar _emat (tptr tdouble))
                                      (Ebinop Oadd (Etempvar _ie tint)
                                        (Ebinop Omul (Etempvar _ne tint)
                                          (Etempvar _je tint) tint) tint)
                                      (tptr tdouble)) tdouble))
                                (Scall None
                                  (Evar _bandmat_addto (Tfunction
                                                         ((tptr (Tstruct _bandmat_t noattr)) ::
                                                          tint :: tint ::
                                                          tdouble :: nil)
                                                         tvoid cc_default))
                                  ((Etempvar _P (tptr (Tstruct _bandmat_t noattr))) ::
                                   (Etempvar _j tint) ::
                                   (Etempvar _d tint) ::
                                   (Etempvar _t'2 tdouble) :: nil))))
                            Sskip)))))
                  (Sset _ie
                    (Ebinop Oadd (Etempvar _ie tint)
                      (Econst_int (Int.repr 1) tint) tint))))))
          (Sset _je
            (Ebinop Oadd (Etempvar _je tint) (Econst_int (Int.repr 1) tint)
              tint)))))))
|}.

Definition f_assemble_vector := {|
  fn_return := tvoid;
  fn_callconv := cc_default;
  fn_params := ((_v, (tptr tdouble)) :: (_ve, (tptr tdouble)) ::
                (_ids, (tptr tint)) :: (_ne, tint) :: nil);
  fn_vars := nil;
  fn_temps := ((_ie, tint) :: (_i, tint) :: (_t'2, tdouble) ::
               (_t'1, tdouble) :: nil);
  fn_body :=
(Ssequence
  (Sset _ie (Econst_int (Int.repr 0) tint))
  (Sloop
    (Ssequence
      (Sifthenelse (Ebinop Olt (Etempvar _ie tint) (Etempvar _ne tint) tint)
        Sskip
        Sbreak)
      (Ssequence
        (Sset _i
          (Ederef
            (Ebinop Oadd (Etempvar _ids (tptr tint)) (Etempvar _ie tint)
              (tptr tint)) tint))
        (Sifthenelse (Ebinop Oge (Etempvar _i tint)
                       (Econst_int (Int.repr 0) tint) tint)
          (Ssequence
            (Sset _t'1
              (Ederef
                (Ebinop Oadd (Etempvar _v (tptr tdouble)) (Etempvar _i tint)
                  (tptr tdouble)) tdouble))
            (Ssequence
              (Sset _t'2
                (Ederef
                  (Ebinop Oadd (Etempvar _ve (tptr tdouble))
                    (Etempvar _ie tint) (tptr tdouble)) tdouble))
              (Sassign
                (Ederef
                  (Ebinop Oadd (Etempvar _v (tptr tdouble))
                    (Etempvar _i tint) (tptr tdouble)) tdouble)
                (Ebinop Oadd (Etempvar _t'1 tdouble) (Etempvar _t'2 tdouble)
                  tdouble))))
          Sskip)))
    (Sset _ie
      (Ebinop Oadd (Etempvar _ie tint) (Econst_int (Int.repr 1) tint) tint))))
|}.

Definition composites : list composite_definition :=
(Composite _densemat_t Struct
   (Member_plain _m tint :: Member_plain _n tint ::
    Member_plain _data (tarray tdouble 0) :: nil)
   noattr ::
 Composite _bandmat_t Struct
   (Member_plain _m tint :: Member_plain _b tint ::
    Member_plain _data (tarray tdouble 0) :: nil)
   noattr ::
 Composite _assemble_t Struct
   (Member_plain _p (tptr (Tstruct _assemble_data_t noattr)) ::
    Member_plain _add
      (tptr (Tfunction
              ((tptr (Tstruct _assemble_data_t noattr)) :: (tptr tdouble) ::
               (tptr tint) :: tint :: nil) tvoid cc_default)) ::
    Member_plain _clear
      (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
              tvoid cc_default)) ::
    Member_plain _norm2
      (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
              tdouble cc_default)) ::
    Member_plain _print
      (tptr (Tfunction ((tptr (Tstruct _assemble_data_t noattr)) :: nil)
              tvoid cc_default)) :: nil)
   noattr :: nil).

Definition global_definitions : list (ident × globdef fundef type) :=
((___compcert_va_int32,
   Gfun(External (EF_runtime "__compcert_va_int32"
                   (mksignature (AST.Xptr :: nil) AST.Xint cc_default))
     ((tptr tvoid) :: nil) tuint cc_default)) ::
 (___compcert_va_int64,
   Gfun(External (EF_runtime "__compcert_va_int64"
                   (mksignature (AST.Xptr :: nil) AST.Xlong cc_default))
     ((tptr tvoid) :: nil) tulong cc_default)) ::
 (___compcert_va_float64,
   Gfun(External (EF_runtime "__compcert_va_float64"
                   (mksignature (AST.Xptr :: nil) AST.Xfloat cc_default))
     ((tptr tvoid) :: nil) tdouble cc_default)) ::
 (___compcert_va_composite,
   Gfun(External (EF_runtime "__compcert_va_composite"
                   (mksignature (AST.Xptr :: AST.Xlong :: nil) AST.Xptr
                     cc_default)) ((tptr tvoid) :: tulong :: nil)
     (tptr tvoid) cc_default)) ::
 (___compcert_i64_dtos,
   Gfun(External (EF_runtime "__compcert_i64_dtos"
                   (mksignature (AST.Xfloat :: nil) AST.Xlong cc_default))
     (tdouble :: nil) tlong cc_default)) ::
 (___compcert_i64_dtou,
   Gfun(External (EF_runtime "__compcert_i64_dtou"
                   (mksignature (AST.Xfloat :: nil) AST.Xlong cc_default))
     (tdouble :: nil) tulong cc_default)) ::
 (___compcert_i64_stod,
   Gfun(External (EF_runtime "__compcert_i64_stod"
                   (mksignature (AST.Xlong :: nil) AST.Xfloat cc_default))
     (tlong :: nil) tdouble cc_default)) ::
 (___compcert_i64_utod,
   Gfun(External (EF_runtime "__compcert_i64_utod"
                   (mksignature (AST.Xlong :: nil) AST.Xfloat cc_default))
     (tulong :: nil) tdouble cc_default)) ::
 (___compcert_i64_stof,
   Gfun(External (EF_runtime "__compcert_i64_stof"
                   (mksignature (AST.Xlong :: nil) AST.Xsingle cc_default))
     (tlong :: nil) tfloat cc_default)) ::
 (___compcert_i64_utof,
   Gfun(External (EF_runtime "__compcert_i64_utof"
                   (mksignature (AST.Xlong :: nil) AST.Xsingle cc_default))
     (tulong :: nil) tfloat cc_default)) ::
 (___compcert_i64_sdiv,
   Gfun(External (EF_runtime "__compcert_i64_sdiv"
                   (mksignature (AST.Xlong :: AST.Xlong :: nil) AST.Xlong
                     cc_default)) (tlong :: tlong :: nil) tlong cc_default)) ::
 (___compcert_i64_udiv,
   Gfun(External (EF_runtime "__compcert_i64_udiv"
                   (mksignature (AST.Xlong :: AST.Xlong :: nil) AST.Xlong
                     cc_default)) (tulong :: tulong :: nil) tulong
     cc_default)) ::
 (___compcert_i64_smod,
   Gfun(External (EF_runtime "__compcert_i64_smod"
                   (mksignature (AST.Xlong :: AST.Xlong :: nil) AST.Xlong
                     cc_default)) (tlong :: tlong :: nil) tlong cc_default)) ::
 (___compcert_i64_umod,
   Gfun(External (EF_runtime "__compcert_i64_umod"
                   (mksignature (AST.Xlong :: AST.Xlong :: nil) AST.Xlong
                     cc_default)) (tulong :: tulong :: nil) tulong
     cc_default)) ::
 (___compcert_i64_shl,
   Gfun(External (EF_runtime "__compcert_i64_shl"
                   (mksignature (AST.Xlong :: AST.Xint :: nil) AST.Xlong
                     cc_default)) (tlong :: tint :: nil) tlong cc_default)) ::
 (___compcert_i64_shr,
   Gfun(External (EF_runtime "__compcert_i64_shr"
                   (mksignature (AST.Xlong :: AST.Xint :: nil) AST.Xlong
                     cc_default)) (tulong :: tint :: nil) tulong cc_default)) ::
 (___compcert_i64_sar,
   Gfun(External (EF_runtime "__compcert_i64_sar"
                   (mksignature (AST.Xlong :: AST.Xint :: nil) AST.Xlong
                     cc_default)) (tlong :: tint :: nil) tlong cc_default)) ::
 (___compcert_i64_smulh,
   Gfun(External (EF_runtime "__compcert_i64_smulh"
                   (mksignature (AST.Xlong :: AST.Xlong :: nil) AST.Xlong
                     cc_default)) (tlong :: tlong :: nil) tlong cc_default)) ::
 (___compcert_i64_umulh,
   Gfun(External (EF_runtime "__compcert_i64_umulh"
                   (mksignature (AST.Xlong :: AST.Xlong :: nil) AST.Xlong
                     cc_default)) (tulong :: tulong :: nil) tulong
     cc_default)) :: (___stringlit_2, Gvar v___stringlit_2) ::
 (___stringlit_1, Gvar v___stringlit_1) ::
 (___stringlit_3, Gvar v___stringlit_3) ::
 (___builtin_bswap64,
   Gfun(External (EF_builtin "__builtin_bswap64"
                   (mksignature (AST.Xlong :: nil) AST.Xlong cc_default))
     (tulong :: nil) tulong cc_default)) ::
 (___builtin_bswap,
   Gfun(External (EF_builtin "__builtin_bswap"
                   (mksignature (AST.Xint :: nil) AST.Xint cc_default))
     (tuint :: nil) tuint cc_default)) ::
 (___builtin_bswap32,
   Gfun(External (EF_builtin "__builtin_bswap32"
                   (mksignature (AST.Xint :: nil) AST.Xint cc_default))
     (tuint :: nil) tuint cc_default)) ::
 (___builtin_bswap16,
   Gfun(External (EF_builtin "__builtin_bswap16"
                   (mksignature (AST.Xint16unsigned :: nil)
                     AST.Xint16unsigned cc_default)) (tushort :: nil) tushort
     cc_default)) ::
 (___builtin_clz,
   Gfun(External (EF_builtin "__builtin_clz"
                   (mksignature (AST.Xint :: nil) AST.Xint cc_default))
     (tuint :: nil) tint cc_default)) ::
 (___builtin_clzl,
   Gfun(External (EF_builtin "__builtin_clzl"
                   (mksignature (AST.Xlong :: nil) AST.Xint cc_default))
     (tulong :: nil) tint cc_default)) ::
 (___builtin_clzll,
   Gfun(External (EF_builtin "__builtin_clzll"
                   (mksignature (AST.Xlong :: nil) AST.Xint cc_default))
     (tulong :: nil) tint cc_default)) ::
 (___builtin_ctz,
   Gfun(External (EF_builtin "__builtin_ctz"
                   (mksignature (AST.Xint :: nil) AST.Xint cc_default))
     (tuint :: nil) tint cc_default)) ::
 (___builtin_ctzl,
   Gfun(External (EF_builtin "__builtin_ctzl"
                   (mksignature (AST.Xlong :: nil) AST.Xint cc_default))
     (tulong :: nil) tint cc_default)) ::
 (___builtin_ctzll,
   Gfun(External (EF_builtin "__builtin_ctzll"
                   (mksignature (AST.Xlong :: nil) AST.Xint cc_default))
     (tulong :: nil) tint cc_default)) ::
 (___builtin_fabs,
   Gfun(External (EF_builtin "__builtin_fabs"
                   (mksignature (AST.Xfloat :: nil) AST.Xfloat cc_default))
     (tdouble :: nil) tdouble cc_default)) ::
 (___builtin_fabsf,
   Gfun(External (EF_builtin "__builtin_fabsf"
                   (mksignature (AST.Xsingle :: nil) AST.Xsingle cc_default))
     (tfloat :: nil) tfloat cc_default)) ::
 (___builtin_fsqrt,
   Gfun(External (EF_builtin "__builtin_fsqrt"
                   (mksignature (AST.Xfloat :: nil) AST.Xfloat cc_default))
     (tdouble :: nil) tdouble cc_default)) ::
 (___builtin_sqrt,
   Gfun(External (EF_builtin "__builtin_sqrt"
                   (mksignature (AST.Xfloat :: nil) AST.Xfloat cc_default))
     (tdouble :: nil) tdouble cc_default)) ::
 (___builtin_memcpy_aligned,
   Gfun(External (EF_builtin "__builtin_memcpy_aligned"
                   (mksignature
                     (AST.Xptr :: AST.Xptr :: AST.Xlong :: AST.Xlong :: nil)
                     AST.Xvoid cc_default))
     ((tptr tvoid) :: (tptr tvoid) :: tulong :: tulong :: nil) tvoid
     cc_default)) ::
 (___builtin_sel,
   Gfun(External (EF_builtin "__builtin_sel"
                   (mksignature (AST.Xbool :: nil) AST.Xvoid
                     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|}))
     (tbool :: nil) tvoid
     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|})) ::
 (___builtin_annot,
   Gfun(External (EF_builtin "__builtin_annot"
                   (mksignature (AST.Xptr :: nil) AST.Xvoid
                     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|}))
     ((tptr tschar) :: nil) tvoid
     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|})) ::
 (___builtin_annot_intval,
   Gfun(External (EF_builtin "__builtin_annot_intval"
                   (mksignature (AST.Xptr :: AST.Xint :: nil) AST.Xint
                     cc_default)) ((tptr tschar) :: tint :: nil) tint
     cc_default)) ::
 (___builtin_membar,
   Gfun(External (EF_builtin "__builtin_membar"
                   (mksignature nil AST.Xvoid cc_default)) nil tvoid
     cc_default)) ::
 (___builtin_va_start,
   Gfun(External (EF_builtin "__builtin_va_start"
                   (mksignature (AST.Xptr :: nil) AST.Xvoid cc_default))
     ((tptr tvoid) :: nil) tvoid cc_default)) ::
 (___builtin_va_arg,
   Gfun(External (EF_builtin "__builtin_va_arg"
                   (mksignature (AST.Xptr :: AST.Xint :: nil) AST.Xvoid
                     cc_default)) ((tptr tvoid) :: tuint :: nil) tvoid
     cc_default)) ::
 (___builtin_va_copy,
   Gfun(External (EF_builtin "__builtin_va_copy"
                   (mksignature (AST.Xptr :: AST.Xptr :: nil) AST.Xvoid
                     cc_default)) ((tptr tvoid) :: (tptr tvoid) :: nil) tvoid
     cc_default)) ::
 (___builtin_va_end,
   Gfun(External (EF_builtin "__builtin_va_end"
                   (mksignature (AST.Xptr :: nil) AST.Xvoid cc_default))
     ((tptr tvoid) :: nil) tvoid cc_default)) ::
 (___builtin_unreachable,
   Gfun(External (EF_builtin "__builtin_unreachable"
                   (mksignature nil AST.Xvoid cc_default)) nil tvoid
     cc_default)) ::
 (___builtin_expect,
   Gfun(External (EF_builtin "__builtin_expect"
                   (mksignature (AST.Xlong :: AST.Xlong :: nil) AST.Xlong
                     cc_default)) (tlong :: tlong :: nil) tlong cc_default)) ::
 (___builtin_cls,
   Gfun(External (EF_builtin "__builtin_cls"
                   (mksignature (AST.Xint :: nil) AST.Xint cc_default))
     (tint :: nil) tint cc_default)) ::
 (___builtin_clsl,
   Gfun(External (EF_builtin "__builtin_clsl"
                   (mksignature (AST.Xlong :: nil) AST.Xint cc_default))
     (tlong :: nil) tint cc_default)) ::
 (___builtin_clsll,
   Gfun(External (EF_builtin "__builtin_clsll"
                   (mksignature (AST.Xlong :: nil) AST.Xint cc_default))
     (tlong :: nil) tint cc_default)) ::
 (___builtin_fmadd,
   Gfun(External (EF_builtin "__builtin_fmadd"
                   (mksignature
                     (AST.Xfloat :: AST.Xfloat :: AST.Xfloat :: nil)
                     AST.Xfloat cc_default))
     (tdouble :: tdouble :: tdouble :: nil) tdouble cc_default)) ::
 (___builtin_fmsub,
   Gfun(External (EF_builtin "__builtin_fmsub"
                   (mksignature
                     (AST.Xfloat :: AST.Xfloat :: AST.Xfloat :: nil)
                     AST.Xfloat cc_default))
     (tdouble :: tdouble :: tdouble :: nil) tdouble cc_default)) ::
 (___builtin_fnmadd,
   Gfun(External (EF_builtin "__builtin_fnmadd"
                   (mksignature
                     (AST.Xfloat :: AST.Xfloat :: AST.Xfloat :: nil)
                     AST.Xfloat cc_default))
     (tdouble :: tdouble :: tdouble :: nil) tdouble cc_default)) ::
 (___builtin_fnmsub,
   Gfun(External (EF_builtin "__builtin_fnmsub"
                   (mksignature
                     (AST.Xfloat :: AST.Xfloat :: AST.Xfloat :: nil)
                     AST.Xfloat cc_default))
     (tdouble :: tdouble :: tdouble :: nil) tdouble cc_default)) ::
 (___builtin_fmax,
   Gfun(External (EF_builtin "__builtin_fmax"
                   (mksignature (AST.Xfloat :: AST.Xfloat :: nil) AST.Xfloat
                     cc_default)) (tdouble :: tdouble :: nil) tdouble
     cc_default)) ::
 (___builtin_fmin,
   Gfun(External (EF_builtin "__builtin_fmin"
                   (mksignature (AST.Xfloat :: AST.Xfloat :: nil) AST.Xfloat
                     cc_default)) (tdouble :: tdouble :: nil) tdouble
     cc_default)) ::
 (___builtin_debug,
   Gfun(External (EF_external "__builtin_debug"
                   (mksignature (AST.Xint :: nil) AST.Xvoid
                     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|}))
     (tint :: nil) tvoid
     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|})) ::
 (_printf,
   Gfun(External (EF_external "printf"
                   (mksignature (AST.Xptr :: nil) AST.Xint
                     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|}))
     ((tptr tschar) :: nil) tint
     {|cc_vararg:=(Some 1); cc_unproto:=false; cc_structret:=false|})) ::
 (_sqrt,
   Gfun(External (EF_external "sqrt"
                   (mksignature (AST.Xfloat :: nil) AST.Xfloat cc_default))
     (tdouble :: nil) tdouble cc_default)) ::
 (_abort,
   Gfun(External (EF_external "abort" (mksignature nil AST.Xvoid cc_default))
     nil tvoid cc_default)) ::
 (_densemat_clear,
   Gfun(External (EF_external "densemat_clear"
                   (mksignature (AST.Xptr :: nil) AST.Xvoid cc_default))
     ((tptr (Tstruct _densemat_t noattr)) :: nil) tvoid cc_default)) ::
 (_densemat_print,
   Gfun(External (EF_external "densemat_print"
                   (mksignature (AST.Xptr :: nil) AST.Xvoid cc_default))
     ((tptr (Tstruct _densemat_t noattr)) :: nil) tvoid cc_default)) ::
 (_densemat_norm2,
   Gfun(External (EF_external "densemat_norm2"
                   (mksignature (AST.Xptr :: nil) AST.Xfloat cc_default))
     ((tptr (Tstruct _densemat_t noattr)) :: nil) tdouble cc_default)) ::
 (_densemat_addto,
   Gfun(External (EF_external "densemat_addto"
                   (mksignature
                     (AST.Xptr :: AST.Xint :: AST.Xint :: AST.Xfloat :: nil)
                     AST.Xvoid cc_default))
     ((tptr (Tstruct _densemat_t noattr)) :: tint :: tint :: tdouble :: nil)
     tvoid cc_default)) ::
 (_bandmat_clear,
   Gfun(External (EF_external "bandmat_clear"
                   (mksignature (AST.Xptr :: nil) AST.Xvoid cc_default))
     ((tptr (Tstruct _bandmat_t noattr)) :: nil) tvoid cc_default)) ::
 (_bandmat_print,
   Gfun(External (EF_external "bandmat_print"
                   (mksignature (AST.Xptr :: nil) AST.Xvoid cc_default))
     ((tptr (Tstruct _bandmat_t noattr)) :: nil) tvoid cc_default)) ::
 (_bandmat_norm2,
   Gfun(External (EF_external "bandmat_norm2"
                   (mksignature (AST.Xptr :: nil) AST.Xfloat cc_default))
     ((tptr (Tstruct _bandmat_t noattr)) :: nil) tdouble cc_default)) ::
 (_bandmat_addto,
   Gfun(External (EF_external "bandmat_addto"
                   (mksignature
                     (AST.Xptr :: AST.Xint :: AST.Xint :: AST.Xfloat :: nil)
                     AST.Xvoid cc_default))
     ((tptr (Tstruct _bandmat_t noattr)) :: tint :: tint :: tdouble :: nil)
     tvoid cc_default)) :: (_assemble_add, Gfun(Internal f_assemble_add)) ::
 (_assemble_clear, Gfun(Internal f_assemble_clear)) ::
 (_assemble_norm2, Gfun(Internal f_assemble_norm2)) ::
 (_assemble_norm, Gfun(Internal f_assemble_norm)) ::
 (_assemble_print, Gfun(Internal f_assemble_print)) ::
 (_casted_densemat_clear, Gfun(Internal f_casted_densemat_clear)) ::
 (_casted_densemat_norm2, Gfun(Internal f_casted_densemat_norm2)) ::
 (_casted_densemat_print, Gfun(Internal f_casted_densemat_print)) ::
 (_init_assemble_dense, Gfun(Internal f_init_assemble_dense)) ::
 (_casted_bandmat_clear, Gfun(Internal f_casted_bandmat_clear)) ::
 (_casted_bandmat_norm2, Gfun(Internal f_casted_bandmat_norm2)) ::
 (_casted_bandmat_print, Gfun(Internal f_casted_bandmat_print)) ::
 (_init_assemble_band, Gfun(Internal f_init_assemble_band)) ::
 (_assemble_dense_add, Gfun(Internal f_assemble_dense_add)) ::
 (_assemble_bandmat_add, Gfun(Internal f_assemble_bandmat_add)) ::
 (_assemble_vector, Gfun(Internal f_assemble_vector)) :: nil).

Definition public_idents : list ident :=
(_assemble_vector :: _assemble_bandmat_add :: _assemble_dense_add ::
 _init_assemble_band :: _casted_bandmat_print :: _casted_bandmat_norm2 ::
 _casted_bandmat_clear :: _init_assemble_dense :: _casted_densemat_print ::
 _casted_densemat_norm2 :: _casted_densemat_clear :: _assemble_print ::
 _assemble_norm :: _assemble_norm2 :: _assemble_clear :: _assemble_add ::
 _bandmat_addto :: _bandmat_norm2 :: _bandmat_print :: _bandmat_clear ::
 _densemat_addto :: _densemat_norm2 :: _densemat_print :: _densemat_clear ::
 _abort :: _sqrt :: _printf :: ___builtin_debug :: ___builtin_fmin ::
 ___builtin_fmax :: ___builtin_fnmsub :: ___builtin_fnmadd ::
 ___builtin_fmsub :: ___builtin_fmadd :: ___builtin_clsll ::
 ___builtin_clsl :: ___builtin_cls :: ___builtin_expect ::
 ___builtin_unreachable :: ___builtin_va_end :: ___builtin_va_copy ::
 ___builtin_va_arg :: ___builtin_va_start :: ___builtin_membar ::
 ___builtin_annot_intval :: ___builtin_annot :: ___builtin_sel ::
 ___builtin_memcpy_aligned :: ___builtin_sqrt :: ___builtin_fsqrt ::
 ___builtin_fabsf :: ___builtin_fabs :: ___builtin_ctzll ::
 ___builtin_ctzl :: ___builtin_ctz :: ___builtin_clzll :: ___builtin_clzl ::
 ___builtin_clz :: ___builtin_bswap16 :: ___builtin_bswap32 ::
 ___builtin_bswap :: ___builtin_bswap64 :: ___compcert_i64_umulh ::
 ___compcert_i64_smulh :: ___compcert_i64_sar :: ___compcert_i64_shr ::
 ___compcert_i64_shl :: ___compcert_i64_umod :: ___compcert_i64_smod ::
 ___compcert_i64_udiv :: ___compcert_i64_sdiv :: ___compcert_i64_utof ::
 ___compcert_i64_stof :: ___compcert_i64_utod :: ___compcert_i64_stod ::
 ___compcert_i64_dtou :: ___compcert_i64_dtos :: ___compcert_va_composite ::
 ___compcert_va_float64 :: ___compcert_va_int64 :: ___compcert_va_int32 ::
 nil).

Definition prog : Clight.program :=
  mkprogram composites global_definitions public_idents _main Logic.I.