comparison src/fftw-3.3.5/kernel/ifftw.h @ 42:2cd0e3b3e1fd

Current fftw source

+/*
+ * 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
+ *
+ */
+
+
+/* FFTW internal header file */
+#ifndef __IFFTW_H__
+#define __IFFTW_H__
+
+#include "config.h"
+
+#include <stdlib.h>		/* size_t */
+#include <stdarg.h>		/* va_list */
+#include <stddef.h>             /* ptrdiff_t */
+#include <limits.h>             /* INT_MAX */
+
+#if HAVE_SYS_TYPES_H
+# include <sys/types.h>
+#endif
+
+#if HAVE_STDINT_H
+# include <stdint.h>             /* uintptr_t, maybe */
+#endif
+
+#if HAVE_INTTYPES_H
+# include <inttypes.h>           /* uintptr_t, maybe */
+#endif
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif /* __cplusplus */
+
+/* Windows annoyances -- since tests/hook.c uses some internal
+   FFTW functions, we need to given them the dllexport attribute
+   under Windows when compiling as a DLL (see api/fftw3.h). */
+#if defined(FFTW_EXTERN)
+#  define IFFTW_EXTERN FFTW_EXTERN
+#elif (defined(FFTW_DLL) || defined(DLL_EXPORT)) \
+ && (defined(_WIN32) || defined(__WIN32__))
+#  define IFFTW_EXTERN extern __declspec(dllexport)
+#else
+#  define IFFTW_EXTERN extern
+#endif
+
+/* determine precision and name-mangling scheme */
+#define CONCAT(prefix, name) prefix ## name
+#if defined(FFTW_SINGLE)
+  typedef float R;
+# define X(name) CONCAT(fftwf_, name)
+#elif defined(FFTW_LDOUBLE)
+  typedef long double R;
+# define X(name) CONCAT(fftwl_, name)
+# define TRIGREAL_IS_LONG_DOUBLE
+#elif defined(FFTW_QUAD)
+  typedef __float128 R;
+# define X(name) CONCAT(fftwq_, name)
+# define TRIGREAL_IS_QUAD
+#else
+  typedef double R;
+# define X(name) CONCAT(fftw_, name)
+#endif
+
+/*
+  integral type large enough to contain a stride (what ``int'' should
+  have been in the first place.
+*/
+typedef ptrdiff_t INT;
+
+/* dummy use of unused parameters to silence compiler warnings */
+#define UNUSED(x) (void)x
+
+#define NELEM(array) ((sizeof(array) / sizeof((array)[0])))
+
+#define FFT_SIGN (-1)  /* sign convention for forward transforms */
+extern void X(extract_reim)(int sign, R *c, R **r, R **i);
+
+#define REGISTER_SOLVER(p, s) X(solver_register)(p, s)
+
+#define STRINGIZEx(x) #x
+#define STRINGIZE(x) STRINGIZEx(x)
+#define CIMPLIES(ante, post) (!(ante) || (post))
+
+/* define HAVE_SIMD if any simd extensions are supported */
+#if defined(HAVE_SSE) || defined(HAVE_SSE2) || \
+      defined(HAVE_AVX) || defined(HAVE_AVX_128_FMA) || \
+      defined(HAVE_AVX2) || defined(HAVE_AVX512) || \
+      defined(HAVE_KCVI) || \
+      defined(HAVE_ALTIVEC) || defined(HAVE_VSX) || \
+      defined(HAVE_MIPS_PS) || \
+      defined(HAVE_GENERIC_SIMD128) || defined(HAVE_GENERIC_SIMD256)
+#define HAVE_SIMD 1
+#else
+#define HAVE_SIMD 0
+#endif
+
+extern int X(have_simd_sse2)(void);
+extern int X(have_simd_avx)(void);
+extern int X(have_simd_avx_128_fma)(void);
+extern int X(have_simd_avx2)(void);
+extern int X(have_simd_avx2_128)(void);
+extern int X(have_simd_avx512)(void);
+extern int X(have_simd_altivec)(void);
+extern int X(have_simd_vsx)(void);
+extern int X(have_simd_neon)(void);
+
+/* forward declarations */
+typedef struct problem_s problem;
+typedef struct plan_s plan;
+typedef struct solver_s solver;
+typedef struct planner_s planner;
+typedef struct printer_s printer;
+typedef struct scanner_s scanner;
+
+/*-----------------------------------------------------------------------*/
+/* alloca: */
+#if HAVE_SIMD
+#  if defined(HAVE_KCVI) || defined(HAVE_AVX512)
+#    define MIN_ALIGNMENT 64
+#  elif defined(HAVE_AVX) || defined(HAVE_AVX2) || defined(HAVE_GENERIC_SIMD256)
+#    define MIN_ALIGNMENT 32  /* best alignment for AVX, conservative for
+			       * everything else */
+#  else
+     /* Note that we cannot use 32-byte alignment for all SIMD.  For
+	example, MacOS X malloc is 16-byte aligned, but there was no
+	posix_memalign in MacOS X until version 10.6. */
+#    define MIN_ALIGNMENT 16
+#  endif
+#endif
+
+#if defined(HAVE_ALLOCA) && defined(FFTW_ENABLE_ALLOCA)
+   /* use alloca if available */
+
+#ifndef alloca
+#ifdef __GNUC__
+# define alloca __builtin_alloca
+#else
+# ifdef _MSC_VER
+#  include <malloc.h>
+#  define alloca _alloca
+# else
+#  if HAVE_ALLOCA_H
+#   include <alloca.h>
+#  else
+#   ifdef _AIX
+ #pragma alloca
+#   else
+#    ifndef alloca /* predefined by HP cc +Olibcalls */
+void *alloca(size_t);
+#    endif
+#   endif
+#  endif
+# endif
+#endif
+#endif
+
+#  ifdef MIN_ALIGNMENT
+#    define STACK_MALLOC(T, p, n)				\
+     {								\
+         p = (T)alloca((n) + MIN_ALIGNMENT);			\
+         p = (T)(((uintptr_t)p + (MIN_ALIGNMENT - 1)) &	\
+               (~(uintptr_t)(MIN_ALIGNMENT - 1)));		\
+     }
+#    define STACK_FREE(n) 
+#  else /* HAVE_ALLOCA && !defined(MIN_ALIGNMENT) */
+#    define STACK_MALLOC(T, p, n) p = (T)alloca(n) 
+#    define STACK_FREE(n) 
+#  endif
+
+#else /* ! HAVE_ALLOCA */
+   /* use malloc instead of alloca */
+#  define STACK_MALLOC(T, p, n) p = (T)MALLOC(n, OTHER)
+#  define STACK_FREE(n) X(ifree)(n)
+#endif /* ! HAVE_ALLOCA */
+
+/* allocation of buffers.  If these grow too large use malloc(), else
+   use STACK_MALLOC (hopefully reducing to alloca()). */
+
+/* 64KiB ought to be enough for anybody */
+#define MAX_STACK_ALLOC ((size_t)64 * 1024)
+
+#define BUF_ALLOC(T, p, n)			\
+{						\
+     if (n < MAX_STACK_ALLOC) {			\
+	  STACK_MALLOC(T, p, n);		\
+     } else {					\
+	  p = (T)MALLOC(n, BUFFERS);		\
+     }						\
+}
+
+#define BUF_FREE(p, n)				\
+{						\
+     if (n < MAX_STACK_ALLOC) {			\
+	  STACK_FREE(p);			\
+     } else {					\
+	  X(ifree)(p);				\
+     }						\
+}
+
+/*-----------------------------------------------------------------------*/
+/* define uintptr_t if it is not already defined */
+
+#ifndef HAVE_UINTPTR_T
+#  if SIZEOF_VOID_P == 0
+#    error sizeof void* is unknown!
+#  elif SIZEOF_UNSIGNED_INT == SIZEOF_VOID_P
+     typedef unsigned int uintptr_t;
+#  elif SIZEOF_UNSIGNED_LONG == SIZEOF_VOID_P
+     typedef unsigned long uintptr_t;
+#  elif SIZEOF_UNSIGNED_LONG_LONG == SIZEOF_VOID_P
+     typedef unsigned long long uintptr_t;
+#  else
+#    error no unsigned integer type matches void* sizeof!
+#  endif
+#endif
+
+/*-----------------------------------------------------------------------*/
+/* We can do an optimization for copying pairs of (aligned) floats
+   when in single precision if 2*float = double. */
+
+#define FFTW_2R_IS_DOUBLE (defined(FFTW_SINGLE) \
+                           && SIZEOF_FLOAT != 0 \
+                           && SIZEOF_DOUBLE == 2*SIZEOF_FLOAT)
+
+#define DOUBLE_ALIGNED(p) ((((uintptr_t)(p)) % sizeof(double)) == 0)
+
+/*-----------------------------------------------------------------------*/
+/* assert.c: */
+IFFTW_EXTERN void X(assertion_failed)(const char *s, 
+				      int line, const char *file);
+
+/* always check */
+#define CK(ex)						 \
+      (void)((ex) || (X(assertion_failed)(#ex, __LINE__, __FILE__), 0))
+
+#ifdef FFTW_DEBUG
+/* check only if debug enabled */
+#define A(ex)						 \
+      (void)((ex) || (X(assertion_failed)(#ex, __LINE__, __FILE__), 0))
+#else
+#define A(ex) /* nothing */
+#endif
+
+extern void X(debug)(const char *format, ...);
+#define D X(debug)
+
+/*-----------------------------------------------------------------------*/
+/* kalloc.c: */
+extern void *X(kernel_malloc)(size_t n);
+extern void X(kernel_free)(void *p);
+
+/*-----------------------------------------------------------------------*/
+/* alloc.c: */
+
+/* objects allocated by malloc, for statistical purposes */
+enum malloc_tag {
+     EVERYTHING,
+     PLANS,
+     SOLVERS,
+     PROBLEMS,
+     BUFFERS,
+     HASHT,
+     TENSORS,
+     PLANNERS,
+     SLVDESCS,
+     TWIDDLES,
+     STRIDES,
+     OTHER,
+     MALLOC_WHAT_LAST		/* must be last */
+};
+
+IFFTW_EXTERN void X(ifree)(void *ptr);
+extern void X(ifree0)(void *ptr);
+
+#ifdef FFTW_DEBUG_MALLOC
+
+IFFTW_EXTERN void *X(malloc_debug)(size_t n, enum malloc_tag what,
+			     const char *file, int line);
+#define MALLOC(n, what) X(malloc_debug)(n, what, __FILE__, __LINE__)
+IFFTW_EXTERN void X(malloc_print_minfo)(int vrbose);
+
+#else /* ! FFTW_DEBUG_MALLOC */
+
+IFFTW_EXTERN void *X(malloc_plain)(size_t sz);
+#define MALLOC(n, what)  X(malloc_plain)(n)
+
+#endif
+
+#if defined(FFTW_DEBUG) && defined(FFTW_DEBUG_MALLOC) && (defined(HAVE_THREADS) || defined(HAVE_OPENMP))
+extern int X(in_thread);
+#  define IN_THREAD X(in_thread)
+#  define THREAD_ON { int in_thread_save = X(in_thread); X(in_thread) = 1
+#  define THREAD_OFF X(in_thread) = in_thread_save; }
+#else
+#  define IN_THREAD 0
+#  define THREAD_ON 
+#  define THREAD_OFF 
+#endif
+
+/*-----------------------------------------------------------------------*/
+/* low-resolution clock */
+
+#ifdef FAKE_CRUDE_TIME
+ typedef int crude_time;
+#else
+# if TIME_WITH_SYS_TIME
+#  include <sys/time.h>
+#  include <time.h>
+# else
+#  if HAVE_SYS_TIME_H
+#   include <sys/time.h>
+#  else
+#   include <time.h>
+#  endif
+# endif
+
+# ifdef HAVE_BSDGETTIMEOFDAY
+# ifndef HAVE_GETTIMEOFDAY
+# define gettimeofday BSDgettimeofday
+# define HAVE_GETTIMEOFDAY 1
+# endif
+# endif
+
+# if defined(HAVE_GETTIMEOFDAY)
+   typedef struct timeval crude_time;
+# else
+   typedef clock_t crude_time;
+# endif
+#endif /* else FAKE_CRUDE_TIME */
+
+crude_time X(get_crude_time)(void);
+double X(elapsed_since)(const planner *plnr, const problem *p,
+			crude_time t0); /* time in seconds since t0 */
+
+/*-----------------------------------------------------------------------*/
+/* ops.c: */
+/*
+ * ops counter.  The total number of additions is add + fma
+ * and the total number of multiplications is mul + fma.
+ * Total flops = add + mul + 2 * fma
+ */
+typedef struct {
+     double add;
+     double mul;
+     double fma;
+     double other;
+} opcnt;
+
+void X(ops_zero)(opcnt *dst);
+void X(ops_other)(INT o, opcnt *dst);
+void X(ops_cpy)(const opcnt *src, opcnt *dst);
+
+void X(ops_add)(const opcnt *a, const opcnt *b, opcnt *dst);
+void X(ops_add2)(const opcnt *a, opcnt *dst);
+
+/* dst = m * a + b */
+void X(ops_madd)(INT m, const opcnt *a, const opcnt *b, opcnt *dst);
+
+/* dst += m * a */
+void X(ops_madd2)(INT m, const opcnt *a, opcnt *dst);
+
+
+/*-----------------------------------------------------------------------*/
+/* minmax.c: */
+INT X(imax)(INT a, INT b);
+INT X(imin)(INT a, INT b);
+
+/*-----------------------------------------------------------------------*/
+/* iabs.c: */
+INT X(iabs)(INT a);
+
+/* inline version */
+#define IABS(x) (((x) < 0) ? (0 - (x)) : (x))
+
+/*-----------------------------------------------------------------------*/
+/* md5.c */
+
+#if SIZEOF_UNSIGNED_INT >= 4
+typedef unsigned int md5uint;
+#else
+typedef unsigned long md5uint; /* at least 32 bits as per C standard */
+#endif
+
+typedef md5uint md5sig[4];
+
+typedef struct {
+     md5sig s; /* state and signature */
+
+     /* fields not meant to be used outside md5.c: */
+     unsigned char c[64]; /* stuff not yet processed */
+     unsigned l;  /* total length.  Should be 64 bits long, but this is
+		     good enough for us */
+} md5;
+
+void X(md5begin)(md5 *p);
+void X(md5putb)(md5 *p, const void *d_, size_t len);
+void X(md5puts)(md5 *p, const char *s);
+void X(md5putc)(md5 *p, unsigned char c);
+void X(md5int)(md5 *p, int i);
+void X(md5INT)(md5 *p, INT i);
+void X(md5unsigned)(md5 *p, unsigned i);
+void X(md5end)(md5 *p);
+
+/*-----------------------------------------------------------------------*/
+/* tensor.c: */
+#define STRUCT_HACK_KR
+#undef STRUCT_HACK_C99
+
+typedef struct {
+     INT n;
+     INT is;			/* input stride */
+     INT os;			/* output stride */
+} iodim;
+
+typedef struct {
+     int rnk;
+#if defined(STRUCT_HACK_KR)
+     iodim dims[1];
+#elif defined(STRUCT_HACK_C99)
+     iodim dims[];
+#else
+     iodim *dims;
+#endif
+} tensor;
+
+/*
+  Definition of rank -infinity.
+  This definition has the property that if you want rank 0 or 1,
+  you can simply test for rank <= 1.  This is a common case.
+ 
+  A tensor of rank -infinity has size 0.
+*/
+#define RNK_MINFTY  INT_MAX
+#define FINITE_RNK(rnk) ((rnk) != RNK_MINFTY)
+
+typedef enum { INPLACE_IS, INPLACE_OS } inplace_kind;
+
+tensor *X(mktensor)(int rnk);
+tensor *X(mktensor_0d)(void);
+tensor *X(mktensor_1d)(INT n, INT is, INT os);
+tensor *X(mktensor_2d)(INT n0, INT is0, INT os0,
+		       INT n1, INT is1, INT os1);
+tensor *X(mktensor_3d)(INT n0, INT is0, INT os0,
+		       INT n1, INT is1, INT os1,
+		       INT n2, INT is2, INT os2);
+tensor *X(mktensor_4d)(INT n0, INT is0, INT os0,
+		       INT n1, INT is1, INT os1,
+		       INT n2, INT is2, INT os2,
+		       INT n3, INT is3, INT os3);
+tensor *X(mktensor_5d)(INT n0, INT is0, INT os0,
+		       INT n1, INT is1, INT os1,
+		       INT n2, INT is2, INT os2,
+		       INT n3, INT is3, INT os3,
+		       INT n4, INT is4, INT os4);
+INT X(tensor_sz)(const tensor *sz);
+void X(tensor_md5)(md5 *p, const tensor *t);
+INT X(tensor_max_index)(const tensor *sz);
+INT X(tensor_min_istride)(const tensor *sz);
+INT X(tensor_min_ostride)(const tensor *sz);
+INT X(tensor_min_stride)(const tensor *sz);
+int X(tensor_inplace_strides)(const tensor *sz);
+int X(tensor_inplace_strides2)(const tensor *a, const tensor *b);
+int X(tensor_strides_decrease)(const tensor *sz, const tensor *vecsz,
+                               inplace_kind k);
+tensor *X(tensor_copy)(const tensor *sz);
+int X(tensor_kosherp)(const tensor *x);
+
+tensor *X(tensor_copy_inplace)(const tensor *sz, inplace_kind k);
+tensor *X(tensor_copy_except)(const tensor *sz, int except_dim);
+tensor *X(tensor_copy_sub)(const tensor *sz, int start_dim, int rnk);
+tensor *X(tensor_compress)(const tensor *sz);
+tensor *X(tensor_compress_contiguous)(const tensor *sz);
+tensor *X(tensor_append)(const tensor *a, const tensor *b);
+void X(tensor_split)(const tensor *sz, tensor **a, int a_rnk, tensor **b);
+int X(tensor_tornk1)(const tensor *t, INT *n, INT *is, INT *os);
+void X(tensor_destroy)(tensor *sz);
+void X(tensor_destroy2)(tensor *a, tensor *b);
+void X(tensor_destroy4)(tensor *a, tensor *b, tensor *c, tensor *d);
+void X(tensor_print)(const tensor *sz, printer *p);
+int X(dimcmp)(const iodim *a, const iodim *b);
+int X(tensor_equal)(const tensor *a, const tensor *b);
+int X(tensor_inplace_locations)(const tensor *sz, const tensor *vecsz);
+
+/*-----------------------------------------------------------------------*/
+/* problem.c: */
+enum { 
+     /* a problem that cannot be solved */
+     PROBLEM_UNSOLVABLE,
+
+     PROBLEM_DFT, 
+     PROBLEM_RDFT,
+     PROBLEM_RDFT2,
+
+     /* for mpi/ subdirectory */
+     PROBLEM_MPI_DFT,
+     PROBLEM_MPI_RDFT,
+     PROBLEM_MPI_RDFT2,
+     PROBLEM_MPI_TRANSPOSE,
+
+     PROBLEM_LAST 
+};
+
+typedef struct {
+     int problem_kind;
+     void (*hash) (const problem *ego, md5 *p);
+     void (*zero) (const problem *ego);
+     void (*print) (const problem *ego, printer *p);
+     void (*destroy) (problem *ego);
+} problem_adt;
+
+struct problem_s {
+     const problem_adt *adt;
+};
+
+problem *X(mkproblem)(size_t sz, const problem_adt *adt);
+void X(problem_destroy)(problem *ego);
+problem *X(mkproblem_unsolvable)(void);
+
+/*-----------------------------------------------------------------------*/
+/* print.c */
+struct printer_s {
+     void (*print)(printer *p, const char *format, ...);
+     void (*vprint)(printer *p, const char *format, va_list ap);
+     void (*putchr)(printer *p, char c);
+     void (*cleanup)(printer *p);
+     int indent;
+     int indent_incr;
+};
+
+printer *X(mkprinter)(size_t size, 
+		      void (*putchr)(printer *p, char c),
+		      void (*cleanup)(printer *p));
+IFFTW_EXTERN void X(printer_destroy)(printer *p);
+
+/*-----------------------------------------------------------------------*/
+/* scan.c */
+struct scanner_s {
+     int (*scan)(scanner *sc, const char *format, ...);
+     int (*vscan)(scanner *sc, const char *format, va_list ap);
+     int (*getchr)(scanner *sc);
+     int ungotc;
+};
+
+scanner *X(mkscanner)(size_t size, int (*getchr)(scanner *sc));
+void X(scanner_destroy)(scanner *sc);
+
+/*-----------------------------------------------------------------------*/
+/* plan.c: */
+
+enum wakefulness {
+     SLEEPY,
+     AWAKE_ZERO,
+     AWAKE_SQRTN_TABLE,
+     AWAKE_SINCOS
+};
+
+typedef struct {
+     void (*solve)(const plan *ego, const problem *p);
+     void (*awake)(plan *ego, enum wakefulness wakefulness);
+     void (*print)(const plan *ego, printer *p);
+     void (*destroy)(plan *ego);
+} plan_adt;
+
+struct plan_s {
+     const plan_adt *adt;
+     opcnt ops;
+     double pcost;
+     enum wakefulness wakefulness; /* used for debugging only */
+     int could_prune_now_p;
+};
+
+plan *X(mkplan)(size_t size, const plan_adt *adt);
+void X(plan_destroy_internal)(plan *ego);
+IFFTW_EXTERN void X(plan_awake)(plan *ego, enum wakefulness wakefulness);
+void X(plan_null_destroy)(plan *ego);
+
+/*-----------------------------------------------------------------------*/
+/* solver.c: */
+typedef struct {
+     int problem_kind;
+     plan *(*mkplan)(const solver *ego, const problem *p, planner *plnr);
+     void (*destroy)(solver *ego);
+} solver_adt;
+
+struct solver_s {
+     const solver_adt *adt;
+     int refcnt;
+};
+
+solver *X(mksolver)(size_t size, const solver_adt *adt);
+void X(solver_use)(solver *ego);
+void X(solver_destroy)(solver *ego);
+void X(solver_register)(planner *plnr, solver *s);
+
+/* shorthand */
+#define MKSOLVER(type, adt) (type *)X(mksolver)(sizeof(type), adt)
+
+/*-----------------------------------------------------------------------*/
+/* planner.c */
+
+typedef struct slvdesc_s {
+     solver *slv;
+     const char *reg_nam;
+     unsigned nam_hash;
+     int reg_id;
+     int next_for_same_problem_kind;
+} slvdesc;
+
+typedef struct solution_s solution; /* opaque */
+
+/* interpretation of L and U: 
+
+   - if it returns a plan, the planner guarantees that all applicable
+     plans at least as impatient as U have been tried, and that each
+     plan in the solution is at least as impatient as L.
+   
+   - if it returns 0, the planner guarantees to have tried all solvers
+     at least as impatient as L, and that none of them was applicable.
+
+   The structure is packed to fit into 64 bits.
+*/
+
+typedef struct {
+     unsigned l:20;
+     unsigned hash_info:3;
+#    define BITS_FOR_TIMELIMIT 9
+     unsigned timelimit_impatience:BITS_FOR_TIMELIMIT;
+     unsigned u:20;
+     
+     /* abstraction break: we store the solver here to pad the
+	structure to 64 bits.  Otherwise, the struct is padded to 64
+	bits anyway, and another word is allocated for slvndx. */
+#    define BITS_FOR_SLVNDX 12
+     unsigned slvndx:BITS_FOR_SLVNDX;
+} flags_t;
+
+/* impatience flags  */
+enum {
+     BELIEVE_PCOST = 0x0001,
+     ESTIMATE = 0x0002,
+     NO_DFT_R2HC = 0x0004,
+     NO_SLOW = 0x0008,
+     NO_VRECURSE = 0x0010,
+     NO_INDIRECT_OP = 0x0020,
+     NO_LARGE_GENERIC = 0x0040,
+     NO_RANK_SPLITS = 0x0080,
+     NO_VRANK_SPLITS = 0x0100,
+     NO_NONTHREADED = 0x0200,
+     NO_BUFFERING = 0x0400,
+     NO_FIXED_RADIX_LARGE_N = 0x0800,
+     NO_DESTROY_INPUT = 0x1000,
+     NO_SIMD = 0x2000,
+     CONSERVE_MEMORY = 0x4000,
+     NO_DHT_R2HC = 0x8000,
+     NO_UGLY = 0x10000,
+     ALLOW_PRUNING = 0x20000
+};
+
+/* hashtable information */
+enum {
+     BLESSING = 0x1u,   /* save this entry */
+     H_VALID = 0x2u,    /* valid hastable entry */
+     H_LIVE = 0x4u      /* entry is nonempty, implies H_VALID */
+};
+
+#define PLNR_L(plnr) ((plnr)->flags.l)
+#define PLNR_U(plnr) ((plnr)->flags.u)
+#define PLNR_TIMELIMIT_IMPATIENCE(plnr) ((plnr)->flags.timelimit_impatience)
+
+#define ESTIMATEP(plnr) (PLNR_U(plnr) & ESTIMATE)
+#define BELIEVE_PCOSTP(plnr) (PLNR_U(plnr) & BELIEVE_PCOST)
+#define ALLOW_PRUNINGP(plnr) (PLNR_U(plnr) & ALLOW_PRUNING)
+
+#define NO_INDIRECT_OP_P(plnr) (PLNR_L(plnr) & NO_INDIRECT_OP)
+#define NO_LARGE_GENERICP(plnr) (PLNR_L(plnr) & NO_LARGE_GENERIC)
+#define NO_RANK_SPLITSP(plnr) (PLNR_L(plnr) & NO_RANK_SPLITS)
+#define NO_VRANK_SPLITSP(plnr) (PLNR_L(plnr) & NO_VRANK_SPLITS)
+#define NO_VRECURSEP(plnr) (PLNR_L(plnr) & NO_VRECURSE)
+#define NO_DFT_R2HCP(plnr) (PLNR_L(plnr) & NO_DFT_R2HC)
+#define NO_SLOWP(plnr) (PLNR_L(plnr) & NO_SLOW)
+#define NO_UGLYP(plnr) (PLNR_L(plnr) & NO_UGLY)
+#define NO_FIXED_RADIX_LARGE_NP(plnr) \
+  (PLNR_L(plnr) & NO_FIXED_RADIX_LARGE_N)
+#define NO_NONTHREADEDP(plnr) \
+  ((PLNR_L(plnr) & NO_NONTHREADED) && (plnr)->nthr > 1)
+
+#define NO_DESTROY_INPUTP(plnr) (PLNR_L(plnr) & NO_DESTROY_INPUT)
+#define NO_SIMDP(plnr) (PLNR_L(plnr) & NO_SIMD)
+#define CONSERVE_MEMORYP(plnr) (PLNR_L(plnr) & CONSERVE_MEMORY)
+#define NO_DHT_R2HCP(plnr) (PLNR_L(plnr) & NO_DHT_R2HC)
+#define NO_BUFFERINGP(plnr) (PLNR_L(plnr) & NO_BUFFERING)
+
+typedef enum { FORGET_ACCURSED, FORGET_EVERYTHING } amnesia;
+
+typedef enum { 
+     /* WISDOM_NORMAL: planner may or may not use wisdom */
+     WISDOM_NORMAL, 
+
+     /* WISDOM_ONLY: planner must use wisdom and must avoid searching */
+     WISDOM_ONLY, 
+
+     /* WISDOM_IS_BOGUS: planner must return 0 as quickly as possible */
+     WISDOM_IS_BOGUS,
+
+     /* WISDOM_IGNORE_INFEASIBLE: planner ignores infeasible wisdom */
+     WISDOM_IGNORE_INFEASIBLE,
+
+     /* WISDOM_IGNORE_ALL: planner ignores all */
+     WISDOM_IGNORE_ALL
+} wisdom_state_t;
+
+typedef struct {
+     void (*register_solver)(planner *ego, solver *s);
+     plan *(*mkplan)(planner *ego, const problem *p);
+     void (*forget)(planner *ego, amnesia a);
+     void (*exprt)(planner *ego, printer *p); /* ``export'' is a reserved
+						 word in C++. */
+     int (*imprt)(planner *ego, scanner *sc);
+} planner_adt;
+
+/* hash table of solutions */
+typedef struct {
+     solution *solutions;
+     unsigned hashsiz, nelem;
+
+     /* statistics */
+     int lookup, succ_lookup, lookup_iter;
+     int insert, insert_iter, insert_unknown;
+     int nrehash;
+} hashtab;
+
+typedef enum { COST_SUM, COST_MAX } cost_kind;
+
+struct planner_s {
+     const planner_adt *adt;
+     void (*hook)(struct planner_s *plnr, plan *pln, 
+		  const problem *p, int optimalp);
+     double (*cost_hook)(const problem *p, double t, cost_kind k);
+     int (*wisdom_ok_hook)(const problem *p, flags_t flags);
+     void (*nowisdom_hook)(const problem *p);
+     wisdom_state_t (*bogosity_hook)(wisdom_state_t state, const problem *p);
+
+     /* solver descriptors */
+     slvdesc *slvdescs;
+     unsigned nslvdesc, slvdescsiz;
+     const char *cur_reg_nam;
+     int cur_reg_id;
+     int slvdescs_for_problem_kind[PROBLEM_LAST];
+
+     wisdom_state_t wisdom_state;
+
+     hashtab htab_blessed;
+     hashtab htab_unblessed;
+
+     int nthr;
+     flags_t flags;
+
+     crude_time start_time;
+     double timelimit; /* elapsed_since(start_time) at which to bail out */
+     int timed_out; /* whether most recent search timed out */
+     int need_timeout_check;
+
+     /* various statistics */
+     int nplan;    /* number of plans evaluated */
+     double pcost, epcost; /* total pcost of measured/estimated plans */
+     int nprob;    /* number of problems evaluated */
+};
+
+planner *X(mkplanner)(void);
+void X(planner_destroy)(planner *ego);
+
+/*
+  Iterate over all solvers.   Read:
+ 
+  @article{ baker93iterators,
+  author = "Henry G. Baker, Jr.",
+  title = "Iterators: Signs of Weakness in Object-Oriented Languages",
+  journal = "{ACM} {OOPS} Messenger",
+  volume = "4",
+  number = "3",
+  pages = "18--25"
+  }
+*/
+#define FORALL_SOLVERS(ego, s, p, what)			\
+{							\
+     unsigned _cnt;					\
+     for (_cnt = 0; _cnt < ego->nslvdesc; ++_cnt) {	\
+	  slvdesc *p = ego->slvdescs + _cnt;		\
+	  solver *s = p->slv;				\
+	  what;						\
+     }							\
+}
+
+#define FORALL_SOLVERS_OF_KIND(kind, ego, s, p, what)		\
+{								\
+     int _cnt = ego->slvdescs_for_problem_kind[kind]; 		\
+     while (_cnt >= 0) {					\
+	  slvdesc *p = ego->slvdescs + _cnt;			\
+	  solver *s = p->slv;					\
+	  what;							\
+	  _cnt = p->next_for_same_problem_kind;			\
+     }								\
+}
+
+
+/* make plan, destroy problem */
+plan *X(mkplan_d)(planner *ego, problem *p);
+plan *X(mkplan_f_d)(planner *ego, problem *p, 
+		    unsigned l_set, unsigned u_set, unsigned u_reset);
+
+/*-----------------------------------------------------------------------*/
+/* stride.c: */
+
+/* If PRECOMPUTE_ARRAY_INDICES is defined, precompute all strides. */
+#if (defined(__i386__) || defined(__x86_64__) || _M_IX86 >= 500) && !defined(FFTW_LDOUBLE)
+#define PRECOMPUTE_ARRAY_INDICES
+#endif
+
+extern const INT X(an_INT_guaranteed_to_be_zero);
+
+#ifdef PRECOMPUTE_ARRAY_INDICES
+typedef INT *stride;
+#define WS(stride, i)  (stride[i])
+extern stride X(mkstride)(INT n, INT s);
+void X(stride_destroy)(stride p);
+/* hackery to prevent the compiler from copying the strides array
+   onto the stack */
+#define MAKE_VOLATILE_STRIDE(nptr, x) (x) = (x) + X(an_INT_guaranteed_to_be_zero)
+#else
+
+typedef INT stride;
+#define WS(stride, i)  (stride * i)
+#define fftwf_mkstride(n, stride) stride
+#define fftw_mkstride(n, stride) stride
+#define fftwl_mkstride(n, stride) stride
+#define fftwf_stride_destroy(p) ((void) p)
+#define fftw_stride_destroy(p) ((void) p)
+#define fftwl_stride_destroy(p) ((void) p)
+
+/* hackery to prevent the compiler from ``optimizing'' induction
+   variables in codelet loops.  The problem is that for each K and for
+   each expression of the form P[I + STRIDE * K] in a loop, most
+   compilers will try to lift an induction variable PK := &P[I + STRIDE * K].
+   For large values of K this behavior overflows the
+   register set, which is likely worse than doing the index computation
+   in the first place.
+
+   If we guess that there are more than
+   ESTIMATED_AVAILABLE_INDEX_REGISTERS such pointers, we deliberately confuse
+   the compiler by setting STRIDE ^= ZERO, where ZERO is a value guaranteed to
+   be 0, but the compiler does not know this. 
+
+   16 registers ought to be enough for anybody, or so the amd64 and ARM ISA's
+   seem to imply.
+*/
+#define ESTIMATED_AVAILABLE_INDEX_REGISTERS 16
+#define MAKE_VOLATILE_STRIDE(nptr, x)                   \
+     (nptr <= ESTIMATED_AVAILABLE_INDEX_REGISTERS ?     \
+        0 :                                             \
+      ((x) = (x) ^ X(an_INT_guaranteed_to_be_zero)))
+#endif /* PRECOMPUTE_ARRAY_INDICES */
+
+/*-----------------------------------------------------------------------*/
+/* solvtab.c */
+
+struct solvtab_s { void (*reg)(planner *); const char *reg_nam; };
+typedef struct solvtab_s solvtab[];
+void X(solvtab_exec)(const solvtab tbl, planner *p);
+#define SOLVTAB(s) { s, STRINGIZE(s) }
+#define SOLVTAB_END { 0, 0 }
+
+/*-----------------------------------------------------------------------*/
+/* pickdim.c */
+int X(pickdim)(int which_dim, const int *buddies, size_t nbuddies,
+	       const tensor *sz, int oop, int *dp);
+
+/*-----------------------------------------------------------------------*/
+/* twiddle.c */
+/* little language to express twiddle factors computation */
+enum { TW_COS = 0, TW_SIN = 1, TW_CEXP = 2, TW_NEXT = 3, 
+       TW_FULL = 4, TW_HALF = 5 };
+
+typedef struct {
+     unsigned char op;
+     signed char v;
+     short i;
+} tw_instr;
+
+typedef struct twid_s {
+     R *W;                     /* array of twiddle factors */
+     INT n, r, m;                /* transform order, radix, # twiddle rows */
+     int refcnt;
+     const tw_instr *instr;
+     struct twid_s *cdr;
+     enum wakefulness wakefulness;
+} twid;
+
+INT X(twiddle_length)(INT r, const tw_instr *p);
+void X(twiddle_awake)(enum wakefulness wakefulness,
+		      twid **pp, const tw_instr *instr, INT n, INT r, INT m);
+
+/*-----------------------------------------------------------------------*/
+/* trig.c */
+#if defined(TRIGREAL_IS_LONG_DOUBLE)
+   typedef long double trigreal;
+#elif defined(TRIGREAL_IS_QUAD)
+   typedef __float128 trigreal;
+#else
+   typedef double trigreal;
+#endif
+
+typedef struct triggen_s triggen;
+
+struct triggen_s {
+     void (*cexp)(triggen *t, INT m, R *result);
+     void (*cexpl)(triggen *t, INT m, trigreal *result);
+     void (*rotate)(triggen *p, INT m, R xr, R xi, R *res);
+
+     INT twshft;
+     INT twradix;
+     INT twmsk;
+     trigreal *W0, *W1;
+     INT n;
+};
+
+triggen *X(mktriggen)(enum wakefulness wakefulness, INT n);
+void X(triggen_destroy)(triggen *p);
+
+/*-----------------------------------------------------------------------*/
+/* primes.c: */
+
+#define MULMOD(x, y, p) \
+   (((x) <= 92681 - (y)) ? ((x) * (y)) % (p) : X(safe_mulmod)(x, y, p))
+
+INT X(safe_mulmod)(INT x, INT y, INT p);
+INT X(power_mod)(INT n, INT m, INT p);
+INT X(find_generator)(INT p);
+INT X(first_divisor)(INT n);
+int X(is_prime)(INT n);
+INT X(next_prime)(INT n);
+int X(factors_into)(INT n, const INT *primes);
+int X(factors_into_small_primes)(INT n);
+INT X(choose_radix)(INT r, INT n);
+INT X(isqrt)(INT n);
+INT X(modulo)(INT a, INT n);
+
+#define GENERIC_MIN_BAD 173 /* min prime for which generic becomes bad */
+
+/* thresholds below which certain solvers are considered SLOW.  These are guesses
+   believed to be conservative */
+#define GENERIC_MAX_SLOW     16
+#define RADER_MAX_SLOW       32
+#define BLUESTEIN_MAX_SLOW   24
+
+/*-----------------------------------------------------------------------*/
+/* rader.c: */
+typedef struct rader_tls rader_tl;
+
+void X(rader_tl_insert)(INT k1, INT k2, INT k3, R *W, rader_tl **tl);
+R *X(rader_tl_find)(INT k1, INT k2, INT k3, rader_tl *t);
+void X(rader_tl_delete)(R *W, rader_tl **tl);
+
+/*-----------------------------------------------------------------------*/
+/* copy/transposition routines */
+
+/* lower bound to the cache size, for tiled routines */
+#define CACHESIZE 8192
+
+INT X(compute_tilesz)(INT vl, int how_many_tiles_in_cache);
+
+void X(tile2d)(INT n0l, INT n0u, INT n1l, INT n1u, INT tilesz,
+	       void (*f)(INT n0l, INT n0u, INT n1l, INT n1u, void *args),
+	       void *args);
+void X(cpy1d)(R *I, R *O, INT n0, INT is0, INT os0, INT vl);
+void X(zero1d_pair)(R *O0, R *O1, INT n0, INT os0);
+void X(cpy2d)(R *I, R *O,
+	      INT n0, INT is0, INT os0,
+	      INT n1, INT is1, INT os1,
+	      INT vl);
+void X(cpy2d_ci)(R *I, R *O,
+		 INT n0, INT is0, INT os0,
+		 INT n1, INT is1, INT os1,
+		 INT vl);
+void X(cpy2d_co)(R *I, R *O,
+		 INT n0, INT is0, INT os0,
+		 INT n1, INT is1, INT os1,
+		 INT vl);
+void X(cpy2d_tiled)(R *I, R *O,
+		    INT n0, INT is0, INT os0,
+		    INT n1, INT is1, INT os1, 
+		    INT vl);
+void X(cpy2d_tiledbuf)(R *I, R *O,
+		       INT n0, INT is0, INT os0,
+		       INT n1, INT is1, INT os1, 
+		       INT vl);
+void X(cpy2d_pair)(R *I0, R *I1, R *O0, R *O1,
+		   INT n0, INT is0, INT os0,
+		   INT n1, INT is1, INT os1);
+void X(cpy2d_pair_ci)(R *I0, R *I1, R *O0, R *O1,
+		      INT n0, INT is0, INT os0,
+		      INT n1, INT is1, INT os1);
+void X(cpy2d_pair_co)(R *I0, R *I1, R *O0, R *O1,
+		      INT n0, INT is0, INT os0,
+		      INT n1, INT is1, INT os1);
+
+void X(transpose)(R *I, INT n, INT s0, INT s1, INT vl);
+void X(transpose_tiled)(R *I, INT n, INT s0, INT s1, INT vl);
+void X(transpose_tiledbuf)(R *I, INT n, INT s0, INT s1, INT vl);
+
+typedef void (*transpose_func)(R *I, INT n, INT s0, INT s1, INT vl);
+typedef void (*cpy2d_func)(R *I, R *O,
+			   INT n0, INT is0, INT os0,
+			   INT n1, INT is1, INT os1,
+			   INT vl);
+
+/*-----------------------------------------------------------------------*/
+/* misc stuff */
+void X(null_awake)(plan *ego, enum wakefulness wakefulness);
+double X(iestimate_cost)(const planner *, const plan *, const problem *);
+
+#ifdef FFTW_RANDOM_ESTIMATOR
+extern unsigned X(random_estimate_seed);
+#endif
+
+double X(measure_execution_time)(const planner *plnr, 
+				 plan *pln, const problem *p);
+IFFTW_EXTERN int X(ialignment_of)(R *p);
+unsigned X(hash)(const char *s);
+INT X(nbuf)(INT n, INT vl, INT maxnbuf);
+int X(nbuf_redundant)(INT n, INT vl, size_t which, 
+		      const INT *maxnbuf, size_t nmaxnbuf);
+INT X(bufdist)(INT n, INT vl);
+int X(toobig)(INT n);
+int X(ct_uglyp)(INT min_n, INT v, INT n, INT r);
+
+#if HAVE_SIMD
+R *X(taint)(R *p, INT s);
+R *X(join_taint)(R *p1, R *p2);
+#define TAINT(p, s) X(taint)(p, s)
+#define UNTAINT(p) ((R *) (((uintptr_t) (p)) & ~(uintptr_t)3))
+#define TAINTOF(p) (((uintptr_t)(p)) & 3)
+#define JOIN_TAINT(p1, p2) X(join_taint)(p1, p2)
+#else
+#define TAINT(p, s) (p)
+#define UNTAINT(p) (p)
+#define TAINTOF(p) 0
+#define JOIN_TAINT(p1, p2) p1
+#endif
+
+#ifdef FFTW_DEBUG_ALIGNMENT
+#  define ASSERT_ALIGNED_DOUBLE {		\
+     double __foo;				\
+     CK(!(((uintptr_t) &__foo) & 0x7));		\
+}
+#else
+#  define ASSERT_ALIGNED_DOUBLE 
+#endif /* FFTW_DEBUG_ALIGNMENT */
+
+
+
+/*-----------------------------------------------------------------------*/
+/* macros used in codelets to reduce source code size */
+
+typedef R E;  /* internal precision of codelets. */
+
+#if defined(FFTW_LDOUBLE)
+#  define K(x) ((E) x##L)
+#elif defined(FFTW_QUAD)
+#  define K(x) ((E) x##Q)
+#else
+#  define K(x) ((E) x)
+#endif
+#define DK(name, value) const E name = K(value)
+
+/* FMA macros */
+
+#if defined(__GNUC__) && (defined(__powerpc__) || defined(__ppc__) || defined(_POWER))
+/* The obvious expression a * b + c does not work.  If both x = a * b
+   + c and y = a * b - c appear in the source, gcc computes t = a * b,
+   x = t + c, y = t - c, thus destroying the fma.
+
+   This peculiar coding seems to do the right thing on all of
+   gcc-2.95, gcc-3.1, gcc-3.2, and gcc-3.3.  It does the right thing
+   on gcc-3.4 -fno-web (because the ``web'' pass splits the variable
+   `x' for the single-assignment form).
+
+   However, gcc-4.0 is a formidable adversary which succeeds in
+   pessimizing two fma's into one multiplication and two additions.
+   It does it very early in the game---before the optimization passes
+   even start.  The only real workaround seems to use fake inline asm
+   such as
+
+     asm ("# confuse gcc %0" : "=f"(a) : "0"(a));
+     return a * b + c;
+     
+   in each of the FMA, FMS, FNMA, and FNMS functions.  However, this
+   does not solve the problem either, because two equal asm statements
+   count as a common subexpression!  One must use *different* fake asm
+   statements:
+
+   in FMA:
+     asm ("# confuse gcc for fma %0" : "=f"(a) : "0"(a));
+
+   in FMS:
+     asm ("# confuse gcc for fms %0" : "=f"(a) : "0"(a));
+
+   etc.
+
+   After these changes, gcc recalcitrantly generates the fma that was
+   in the source to begin with.  However, the extra asm() cruft
+   confuses other passes of gcc, notably the instruction scheduler.
+   (Of course, one could also generate the fma directly via inline
+   asm, but this confuses the scheduler even more.)
+
+   Steven and I have submitted more than one bug report to the gcc
+   mailing list over the past few years, to no effect.  Thus, I give
+   up.  gcc-4.0 can go to hell.  I'll wait at least until gcc-4.3 is
+   out before touching this crap again.
+*/
+static __inline__ E FMA(E a, E b, E c)
+{
+     E x = a * b;
+     x = x + c;
+     return x;
+}
+
+static __inline__ E FMS(E a, E b, E c)
+{
+     E x = a * b;
+     x = x - c;
+     return x;
+}
+
+static __inline__ E FNMA(E a, E b, E c)
+{
+     E x = a * b;
+     x = - (x + c);
+     return x;
+}
+
+static __inline__ E FNMS(E a, E b, E c)
+{
+     E x = a * b;
+     x = - (x - c);
+     return x;
+}
+#else
+#define FMA(a, b, c) (((a) * (b)) + (c))
+#define FMS(a, b, c) (((a) * (b)) - (c))
+#define FNMA(a, b, c) (- (((a) * (b)) + (c)))
+#define FNMS(a, b, c) ((c) - ((a) * (b)))
+#endif
+
+#ifdef __cplusplus
+}  /* extern "C" */
+#endif /* __cplusplus */
+
+#endif /* __IFFTW_H__ */