diff src/fftw-3.3.3/genfft/gen_r2r.ml @ 10:37bf6b4a2645

Add FFTW3
author Chris Cannam
date Wed, 20 Mar 2013 15:35:50 +0000
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/fftw-3.3.3/genfft/gen_r2r.ml	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,257 @@
+(*
+ * Copyright (c) 1997-1999 Massachusetts Institute of Technology
+ * Copyright (c) 2003, 2007-11 Matteo Frigo
+ * Copyright (c) 2003, 2007-11 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
+ *
+ *)
+
+(* generation of trigonometric transforms *)
+
+open Util
+open Genutil
+open C
+
+
+let usage = "Usage: " ^ Sys.argv.(0) ^ " -n <number>"
+
+let uistride = ref Stride_variable
+let uostride = ref Stride_variable
+let uivstride = ref Stride_variable
+let uovstride = ref Stride_variable
+
+type mode =
+  | RDFT
+  | HDFT
+  | DHT
+  | REDFT00
+  | REDFT10
+  | REDFT01
+  | REDFT11
+  | RODFT00
+  | RODFT10
+  | RODFT01
+  | RODFT11
+  | NONE
+
+let mode = ref NONE
+let normsqr = ref 1
+let unitary = ref false
+let noloop = ref false
+
+let speclist = [
+  "-with-istride",
+  Arg.String(fun x -> uistride := arg_to_stride x),
+  " specialize for given input stride";
+
+  "-with-ostride",
+  Arg.String(fun x -> uostride := arg_to_stride x),
+  " specialize for given output stride";
+
+  "-with-ivstride",
+  Arg.String(fun x -> uivstride := arg_to_stride x),
+  " specialize for given input vector stride";
+
+  "-with-ovstride",
+  Arg.String(fun x -> uovstride := arg_to_stride x),
+  " specialize for given output vector stride";
+
+  "-rdft",
+  Arg.Unit(fun () -> mode := RDFT),
+  " generate a real DFT codelet";
+
+  "-hdft",
+  Arg.Unit(fun () -> mode := HDFT),
+  " generate a Hermitian DFT codelet";
+
+  "-dht",
+  Arg.Unit(fun () -> mode := DHT),
+  " generate a DHT codelet";
+
+  "-redft00",
+  Arg.Unit(fun () -> mode := REDFT00),
+  " generate a DCT-I codelet";
+
+  "-redft10",
+  Arg.Unit(fun () -> mode := REDFT10),
+  " generate a DCT-II codelet";
+
+  "-redft01",
+  Arg.Unit(fun () -> mode := REDFT01),
+  " generate a DCT-III codelet";
+
+  "-redft11",
+  Arg.Unit(fun () -> mode := REDFT11),
+  " generate a DCT-IV codelet";
+
+  "-rodft00",
+  Arg.Unit(fun () -> mode := RODFT00),
+  " generate a DST-I codelet";
+
+  "-rodft10",
+  Arg.Unit(fun () -> mode := RODFT10),
+  " generate a DST-II codelet";
+
+  "-rodft01",
+  Arg.Unit(fun () -> mode := RODFT01),
+  " generate a DST-III codelet";
+
+  "-rodft11",
+  Arg.Unit(fun () -> mode := RODFT11),
+  " generate a DST-IV codelet";
+
+  "-normalization",
+  Arg.String(fun x -> let ix = int_of_string x in normsqr := ix * ix),
+  " normalization integer to divide by";
+
+  "-normsqr",
+  Arg.String(fun x -> normsqr := int_of_string x),
+  " integer square of normalization to divide by";
+
+  "-unitary",
+  Arg.Unit(fun () -> unitary := true),
+  " unitary normalization (up overall scale factor)";
+
+  "-noloop",
+  Arg.Unit(fun () -> noloop := true),
+  " no vector loop";
+]
+
+let sqrt_half = Complex.inverse_int_sqrt 2
+let sqrt_two = Complex.int_sqrt 2
+
+let rescale sc s1 s2 input i = 
+  if ((i == s1 || i == s2) && !unitary) then
+    Complex.times (input i) sc
+  else
+    input i
+
+let generate n mode =
+  let iarray = "I"
+  and oarray = "O"
+  and istride = "is"
+  and ostride = "os" 
+  and i = "i" 
+  and v = "v" 
+  in
+
+  let sign = !Genutil.sign 
+  and name = !Magic.codelet_name in
+
+  let vistride = either_stride (!uistride) (C.SVar istride)
+  and vostride = either_stride (!uostride) (C.SVar ostride)
+  in
+
+  let sovs = stride_to_string "ovs" !uovstride in
+  let sivs = stride_to_string "ivs" !uivstride in
+
+  let (transform, load_input, store_output, si1,si2,so1,so2) = match mode with
+  | RDFT -> Trig.rdft sign, load_array_r, store_array_hc, -1,-1,-1,-1
+  | HDFT -> Trig.hdft sign, load_array_c, store_array_r, -1,-1,-1,-1 (* TODO *)
+  | DHT -> Trig.dht 1, load_array_r, store_array_r, -1,-1,-1,-1
+  | REDFT00 -> Trig.dctI, load_array_r, store_array_r, 0,n-1,0,n-1
+  | REDFT10 -> Trig.dctII, load_array_r, store_array_r, -1,-1,0,-1
+  | REDFT01 -> Trig.dctIII, load_array_r, store_array_r, 0,-1,-1,-1
+  | REDFT11 -> Trig.dctIV, load_array_r, store_array_r, -1,-1,-1,-1
+  | RODFT00 -> Trig.dstI, load_array_r, store_array_r, -1,-1,-1,-1
+  | RODFT10 -> Trig.dstII, load_array_r, store_array_r, -1,-1,n-1,-1
+  | RODFT01 -> Trig.dstIII, load_array_r, store_array_r, n-1,-1,-1,-1
+  | RODFT11 -> Trig.dstIV, load_array_r, store_array_r, -1,-1,-1,-1
+  | _ -> failwith "must specify transform kind"
+  in
+    
+  let locations = unique_array_c n in
+  let input = locative_array_c n 
+      (C.array_subscript iarray vistride)
+      (C.array_subscript "BUG" vistride)
+      locations sivs in
+  let output = rescale sqrt_half so1 so2
+      ((Complex.times (Complex.inverse_int_sqrt !normsqr))
+       @@ (transform n (rescale sqrt_two si1 si2 (load_array_c n input)))) in
+  let oloc = 
+    locative_array_c n 
+      (C.array_subscript oarray vostride)
+      (C.array_subscript "BUG" vostride)
+      locations sovs in
+  let odag = store_output n oloc output in
+  let annot = standard_optimizer odag in
+
+  let body = if !noloop then Block([], [Asch annot]) else Block (
+    [Decl ("INT", i)],
+    [For (Expr_assign (CVar i, CVar v),
+	  Binop (" > ", CVar i, Integer 0),
+	  list_to_comma 
+	    [Expr_assign (CVar i, CPlus [CVar i; CUminus (Integer 1)]);
+	     Expr_assign (CVar iarray, CPlus [CVar iarray; CVar sivs]);
+	     Expr_assign (CVar oarray, CPlus [CVar oarray; CVar sovs]);
+	     make_volatile_stride (2*n) (CVar istride);
+	     make_volatile_stride (2*n) (CVar ostride)
+	   ],
+	  Asch annot)
+   ])
+  in
+
+  let tree =
+    Fcn ((if !Magic.standalone then "void" else "static void"), name,
+	 ([Decl (C.constrealtypep, iarray);
+	   Decl (C.realtypep, oarray)]
+	  @ (if stride_fixed !uistride then [] 
+               else [Decl (C.stridetype, istride)])
+	  @ (if stride_fixed !uostride then [] 
+	       else [Decl (C.stridetype, ostride)])
+	  @ (if !noloop then [] else
+               [Decl ("INT", v)]
+	       @ (if stride_fixed !uivstride then [] 
+                    else [Decl ("INT", "ivs")])
+	       @ (if stride_fixed !uovstride then [] 
+                    else [Decl ("INT", "ovs")]))),
+	 finalize_fcn body)
+
+  in let desc = 
+    Printf.sprintf 
+      "static const kr2r_desc desc = { %d, \"%s\", %s, &GENUS, %s };\n\n"
+      n name (flops_of tree) 
+      (match mode with
+      | RDFT -> "RDFT00"
+      | HDFT -> "HDFT00"
+      | DHT  -> "DHT"
+      | REDFT00 -> "REDFT00"
+      | REDFT10 -> "REDFT10"
+      | REDFT01 -> "REDFT01"
+      | REDFT11 -> "REDFT11"
+      | RODFT00 -> "RODFT00"
+      | RODFT10 -> "RODFT10"
+      | RODFT01 -> "RODFT01"
+      | RODFT11 -> "RODFT11"
+      | _ -> failwith "must specify a transform kind")
+
+  and init =
+    (declare_register_fcn name) ^
+    "{" ^
+    "  X(kr2r_register)(p, " ^ name ^ ", &desc);\n" ^
+    "}\n"
+
+  in
+  (unparse tree) ^ "\n" ^ (if !Magic.standalone then "" else desc ^ init)
+
+
+let main () =
+  begin
+    parse speclist usage;
+    print_string (generate (check_size ()) !mode);
+  end
+
+let _ = main()