furnace/extern/fftw/genfft/gen_hc2cdft_c.ml

(*
 * Copyright (c) 1997-1999 Massachusetts Institute of Technology
 * Copyright (c) 2003, 2007-14 Matteo Frigo
 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 *
 *)

open Util
open Genutil
open C


type ditdif = DIT | DIF
let ditdif = ref DIT
let usage = "Usage: " ^ Sys.argv.(0) ^ " -n <number> [ -dit | -dif ]"

let urs = ref Stride_variable
let ums = ref Stride_variable

let speclist = [
  "-dit",
  Arg.Unit(fun () -> ditdif := DIT),
  " generate a DIT codelet";

  "-dif",
  Arg.Unit(fun () -> ditdif := DIF),
  " generate a DIF codelet";

  "-with-rs",
  Arg.String(fun x -> urs := arg_to_stride x),
  " specialize for given R-stride";

  "-with-ms",
  Arg.String(fun x -> ums := arg_to_stride x),
  " specialize for given ms"
]

let byi = Complex.times Complex.i
let byui = Complex.times (Complex.uminus Complex.i)

let shuffle_eo fe fo i = if i mod 2 == 0 then fe (i/2) else fo ((i-1)/2)

let generate n =
  let rs = "rs"
  and twarray = "W"
  and m = "m" and mb = "mb" and me = "me" and ms = "ms"

  (* the array names are from the point of view of the complex array
     (output in R2C, input in C2R) *)
  and arp = "Rp" (* real, positive *)
  and aip = "Ip" (* imag, positive *)
  and arm = "Rm" (* real, negative *)
  and aim = "Im" (* imag, negative *)

  in

  let sign = !Genutil.sign 
  and name = !Magic.codelet_name 
  and byvl x = choose_simd x (ctimes (CVar "VL", x)) 
  and bytwvl x = choose_simd x (ctimes (CVar "TWVL", x)) 
  and bytwvl_vl x = choose_simd x (ctimes (CVar "(TWVL/VL)", x)) in

  let (bytwiddle, num_twiddles, twdesc) = Twiddle.twiddle_policy 1 true in
  let nt = num_twiddles n in

  let byw = bytwiddle n sign (twiddle_array nt twarray) in

  let vrs = either_stride (!urs) (C.SVar rs) in
  let sms = stride_to_string "ms" !ums in
  let msms = "-" ^ sms in

  (* assume a single location.  No point in doing alias analysis *)
  let the_location = (Unique.make (), Unique.make ()) in
  let locations _ = the_location in

  let rlocp = (locative_array_c n 
		 (C.array_subscript arp vrs)
		 (C.array_subscript aip vrs)
		 locations sms)
  and rlocm = (locative_array_c n 
		 (C.array_subscript arm vrs)
		 (C.array_subscript aim vrs)
		 locations msms)
  and clocp = (locative_array_c n 
		 (C.array_subscript arp vrs)
		 (C.array_subscript aip vrs)
		 locations sms)
  and clocm = (locative_array_c n 
		 (C.array_subscript arm vrs)
		 (C.array_subscript aim vrs)
		 locations msms)
  in
  let rloc i = if i mod 2 == 0 then rlocp (i/2) else rlocm ((i-1)/2)
  and cloc i = if i < n - i then clocp i else clocm (n-1-i)
  and sym n f i =
    if (i < n - i) then 
      f i
    else 
      Complex.times (Complex.nan Expr.CONJ) (f i)
  and sym1 f i = 
    if i mod 2 == 0 then
      Complex.plus [f i; 
		    Complex.times (Complex.nan Expr.CONJ) (f (i+1))]
    else
      Complex.times (Complex.nan Expr.I)
	(Complex.plus [Complex.uminus (f (i-1));
		       Complex.times (Complex.nan Expr.CONJ) (f i)])
  and sym1i f i = 
    if i mod 2 == 0 then
      Complex.plus [f i; 
		    Complex.times (Complex.nan Expr.I) (f (i+1))]
    else
      Complex.times (Complex.nan Expr.CONJ)
	(Complex.plus [f (i-1); 
		       Complex.uminus
			 (Complex.times (Complex.nan Expr.I) (f i))])
  in

  let asch = 
    match !ditdif with
    | DIT -> 
	let output = 
	  (Complex.times Complex.half) @@
	    (Trig.dft_via_rdft sign n (byw (sym1 (load_array_r n rloc)))) in
	let odag = store_array_r n cloc (sym n output) in
	  standard_optimizer odag 

    | DIF -> 
	let output = 
	  byw (Trig.dft_via_rdft sign n (sym n (load_array_r n cloc)))
	in
	let odag = store_array_r n rloc (sym1i output) in
	  standard_optimizer odag 
  in

  let vms = CVar sms 
  and varp = CVar arp
  and vaip = CVar aip
  and varm = CVar arm
  and vaim = CVar aim
  and vm = CVar m and vmb = CVar mb and vme = CVar me 
  in
  let body = Block (
    [Decl ("INT", m)],
    [For (list_to_comma
	    [Expr_assign (vm, vmb);
	     Expr_assign (CVar twarray, 
			  CPlus [CVar twarray; 
				 ctimes (CPlus [vmb; CUminus (Integer 1)],
					 bytwvl_vl (Integer nt))])],
	  Binop (" < ", vm, vme),
	  list_to_comma 
	    [Expr_assign (vm, CPlus [vm; byvl (Integer 1)]);
	     Expr_assign (varp, CPlus [varp; byvl vms]);
	     Expr_assign (vaip, CPlus [vaip; byvl vms]);
	     Expr_assign (varm, CPlus [varm; CUminus (byvl vms)]);
	     Expr_assign (vaim, CPlus [vaim; CUminus (byvl vms)]);
	     Expr_assign (CVar twarray, CPlus [CVar twarray; 
					       bytwvl (Integer nt)]);
	     make_volatile_stride (4*n) (CVar rs)
	   ],
	  Asch asch)]
    )
  in

  let tree = 
    Fcn ("static void", name,
	 [Decl (C.realtypep, arp);
	  Decl (C.realtypep, aip);
	  Decl (C.realtypep, arm);
	  Decl (C.realtypep, aim);
	  Decl (C.constrealtypep, twarray);
	  Decl (C.stridetype, rs);
	  Decl ("INT", mb);
	  Decl ("INT", me);
	  Decl ("INT", ms)],
         finalize_fcn body)
  in
  let twinstr = 
    Printf.sprintf "static const tw_instr twinstr[] = %s;\n\n" 
      (twinstr_to_string "VL" (twdesc n))
  and desc = 
    Printf.sprintf
      "static const hc2c_desc desc = {%d, %s, twinstr, &GENUS, %s};\n\n"
      n (stringify name) (flops_of tree)
  and register = "X(khc2c_register)"

  in
  let init =
    "\n" ^
    twinstr ^ 
    desc ^
    (declare_register_fcn name) ^
    (Printf.sprintf "{\n%s(p, %s, &desc, HC2C_VIA_DFT);\n}" register name)
  in

  (unparse tree) ^ "\n" ^ init


let main () =
  begin 
    Simdmagic.simd_mode := true;
    parse (speclist @ Twiddle.speclist) usage;
    print_string (generate (check_size ()));
  end

let _ = main()