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+/*
+ * Copyright (c) 1997-1999, 2003 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ *
+ */
+
+/* fftw.h -- system-wide definitions */
+/* $Id: fftw-int.h,v 1.1 2008/10/17 06:13:18 scuri Exp $ */
+
+#ifndef FFTW_INT_H
+#define FFTW_INT_H
+#include "config.h"
+#include "fftw.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif /* __cplusplus */
+
+/****************************************************************************/
+/* Private Functions */
+/****************************************************************************/
+
+extern fftw_twiddle *fftw_create_twiddle(int n, const fftw_codelet_desc *d);
+extern void fftw_destroy_twiddle(fftw_twiddle *tw);
+
+extern void fftw_strided_copy(int, fftw_complex *, int, fftw_complex *);
+extern void fftw_executor_simple(int, const fftw_complex *, fftw_complex *,
+ fftw_plan_node *, int, int,
+ fftw_recurse_kind recurse_kind);
+
+extern fftwnd_plan fftwnd_create_plan_aux(int rank, const int *n,
+ fftw_direction dir, int flags);
+extern fftw_plan *fftwnd_new_plan_array(int rank);
+extern fftw_plan *fftwnd_create_plans_generic(fftw_plan *plans,
+ int rank, const int *n,
+ fftw_direction dir, int flags);
+extern fftw_plan *fftwnd_create_plans_specific(fftw_plan *plans,
+ int rank, const int *n,
+ const int *n_after,
+ fftw_direction dir, int flags,
+ fftw_complex *in, int istride,
+ fftw_complex *out, int ostride);
+extern int fftwnd_work_size(int rank, const int *n, int flags, int ncopies);
+
+extern void fftwnd_aux(fftwnd_plan p, int cur_dim,
+ fftw_complex *in, int istride,
+ fftw_complex *out, int ostride,
+ fftw_complex *work);
+extern void fftwnd_aux_howmany(fftwnd_plan p, int cur_dim,
+ int howmany,
+ fftw_complex *in, int istride, int idist,
+ fftw_complex *out, int ostride, int odist,
+ fftw_complex *work);
+
+/* wisdom prototypes */
+enum fftw_wisdom_category {
+ FFTW_WISDOM, RFFTW_WISDOM
+};
+
+extern int fftw_wisdom_lookup(int n, int flags, fftw_direction dir,
+ enum fftw_wisdom_category category,
+ int istride, int ostride,
+ enum fftw_node_type *type,
+ int *signature,
+ fftw_recurse_kind *recurse_kind, int replace_p);
+extern void fftw_wisdom_add(int n, int flags, fftw_direction dir,
+ enum fftw_wisdom_category cat,
+ int istride, int ostride,
+ enum fftw_node_type type,
+ int signature,
+ fftw_recurse_kind recurse_kind);
+
+/* Private planner functions: */
+extern double fftw_estimate_node(fftw_plan_node *p);
+extern fftw_plan_node *fftw_make_node_notw(int size,
+ const fftw_codelet_desc *config);
+extern fftw_plan_node *fftw_make_node_real2hc(int size,
+ const fftw_codelet_desc *config);
+extern fftw_plan_node *fftw_make_node_hc2real(int size,
+ const fftw_codelet_desc *config);
+extern fftw_plan_node *fftw_make_node_twiddle(int n,
+ const fftw_codelet_desc *config,
+ fftw_plan_node *recurse,
+ int flags);
+extern fftw_plan_node *fftw_make_node_hc2hc(int n,
+ fftw_direction dir,
+ const fftw_codelet_desc *config,
+ fftw_plan_node *recurse,
+ int flags);
+extern fftw_plan_node *fftw_make_node_generic(int n, int size,
+ fftw_generic_codelet *codelet,
+ fftw_plan_node *recurse,
+ int flags);
+extern fftw_plan_node *fftw_make_node_rgeneric(int n, int size,
+ fftw_direction dir,
+ fftw_rgeneric_codelet * codelet,
+ fftw_plan_node *recurse,
+ int flags);
+extern int fftw_factor(int n);
+extern fftw_plan_node *fftw_make_node(void);
+extern fftw_plan fftw_make_plan(int n, fftw_direction dir,
+ fftw_plan_node *root, int flags,
+ enum fftw_node_type wisdom_type,
+ int wisdom_signature,
+ fftw_recurse_kind recurse_kind,
+ int vector_size);
+extern void fftw_use_plan(fftw_plan p);
+extern void fftw_use_node(fftw_plan_node *p);
+extern void fftw_destroy_plan_internal(fftw_plan p);
+extern fftw_plan fftw_pick_better(fftw_plan p1, fftw_plan p2);
+extern fftw_plan fftw_lookup(fftw_plan *table, int n, int flags,
+ int vector_size);
+extern void fftw_insert(fftw_plan *table, fftw_plan this_plan);
+extern void fftw_make_empty_table(fftw_plan *table);
+extern void fftw_destroy_table(fftw_plan *table);
+extern void fftw_complete_twiddle(fftw_plan_node *p, int n);
+
+extern fftw_plan_node *fftw_make_node_rader(int n, int size,
+ fftw_direction dir,
+ fftw_plan_node *recurse,
+ int flags);
+extern fftw_rader_data *fftw_rader_top;
+
+/* undocumented debugging hook */
+typedef void (*fftw_plan_hook_ptr) (fftw_plan plan);
+extern DL_IMPORT(fftw_plan_hook_ptr) fftw_plan_hook;
+extern DL_IMPORT(fftw_plan_hook_ptr) rfftw_plan_hook;
+
+/****************************************************************************/
+/* Overflow-safe multiply */
+/****************************************************************************/
+
+/* The Rader routines do a lot of operations of the form (x * y) % p, which
+ are vulnerable to overflow problems for large p. To get around this,
+ we either use "long long" arithmetic (if it is available and double
+ the size of int), or default to a subroutine defined in twiddle.c. */
+
+#if defined(FFTW_ENABLE_UNSAFE_MULMOD)
+# define MULMOD(x,y,p) (((x) * (y)) % (p))
+#elif defined(LONGLONG_IS_TWOINTS)
+# define MULMOD(x,y,p) ((int) ((((long long) (x)) * ((long long) (y))) \
+ % ((long long) (p))))
+#else
+# define USE_FFTW_SAFE_MULMOD
+# define MULMOD(x,y,p) fftw_safe_mulmod(x,y,p)
+extern int fftw_safe_mulmod(int x, int y, int p);
+#endif
+
+/****************************************************************************/
+/* Floating Point Types */
+/****************************************************************************/
+
+/*
+ * We use these definitions to make it easier for people to change
+ * FFTW to use long double and similar types. You shouldn't have to
+ * change this just to use float or double.
+ */
+
+/*
+ * Change this if your floating-point constants need to be expressed
+ * in a special way. For example, if fftw_real is long double, you
+ * will need to append L to your fp constants to make them of the
+ * same precision. Do this by changing "x" below to "x##L".
+ */
+#define FFTW_KONST(x) ((fftw_real) x)
+
+/*
+ * Ordinarily, we use the standard sin/cos functions to compute trig.
+ * constants. You'll need to change these if fftw_real has more
+ * than double precision.
+ */
+#define FFTW_TRIG_SIN sin
+#define FFTW_TRIG_COS cos
+typedef double FFTW_TRIG_REAL; /* the argument type for sin and cos */
+
+#define FFTW_K2PI FFTW_KONST(6.2831853071795864769252867665590057683943388)
+
+/****************************************************************************/
+/* gcc/x86 hacks */
+/****************************************************************************/
+
+/*
+ * gcc 2.[78].x and x86 specific hacks. These macros align the stack
+ * pointer so that the double precision temporary variables in the
+ * codelets will be aligned to a multiple of 8 bytes (*way* faster on
+ * pentium and pentiumpro)
+ */
+#ifdef __GNUC__
+# ifdef __i386__
+# ifdef FFTW_ENABLE_I386_HACKS
+# ifndef FFTW_GCC_ALIGNS_STACK
+# ifndef FFTW_ENABLE_FLOAT
+# define FFTW_USING_I386_HACKS
+# define HACK_ALIGN_STACK_EVEN { \
+ if ((((long) (__builtin_alloca(0))) & 0x7)) __builtin_alloca(4); \
+ }
+
+# define HACK_ALIGN_STACK_ODD { \
+ if (!(((long) (__builtin_alloca(0))) & 0x7)) __builtin_alloca(4); \
+ }
+
+# endif /* ! FFTW_ENABLE_FLOAT */
+# endif /* ! FFTW_GCC_ALIGNS_STACK */
+# endif /* FFTW_ENABLE_I386_HACKS */
+
+# ifdef FFTW_DEBUG_ALIGNMENT
+# define ASSERT_ALIGNED_DOUBLE { \
+ double __foo; \
+ if ((((long) &__foo) & 0x7)) abort(); \
+ }
+# endif /* FFTW_DEBUG_ALIGNMENT */
+
+# endif /* __i386__ */
+#endif /* __GNUC__ */
+
+#ifndef HACK_ALIGN_STACK_EVEN
+# define HACK_ALIGN_STACK_EVEN {}
+#endif
+#ifndef HACK_ALIGN_STACK_ODD
+# define HACK_ALIGN_STACK_ODD {}
+#endif
+#ifndef ASSERT_ALIGNED_DOUBLE
+# define ASSERT_ALIGNED_DOUBLE {}
+#endif
+
+/****************************************************************************/
+/* Timers */
+/****************************************************************************/
+
+/*
+ * Here, you can use all the nice timers available in your machine.
+ */
+
+/*
+ *
+ Things you should define to include your own clock:
+
+ fftw_time -- the data type used to store a time
+
+ extern fftw_time fftw_get_time(void);
+ -- a function returning the current time. (We have
+ implemented this as a macro in most cases.)
+
+ extern fftw_time fftw_time_diff(fftw_time t1, fftw_time t2);
+ -- returns the time difference (t1 - t2).
+ If t1 < t2, it may simply return zero (although this
+ is not required). (We have implemented this as a macro
+ in most cases.)
+
+ extern double fftw_time_to_sec(fftw_time t);
+ -- returns the time t expressed in seconds, as a double.
+ (Implemented as a macro in most cases.)
+
+ FFTW_TIME_MIN -- a double-precision macro holding the minimum
+ time interval (in seconds) for accurate time measurements.
+ This should probably be at least 100 times the precision of
+ your clock (we use even longer intervals, to be conservative).
+ This will determine how long the planner takes to measure
+ the speeds of different possible plans.
+
+ Bracket all of your definitions with an appropriate #ifdef so that
+ they will be enabled on your machine. If you do add your own
+ high-precision timer code, let us know (at fftw@fftw.org).
+
+ Only declarations should go in this file. Any function definitions
+ that you need should go into timer.c.
+ */
+
+/*
+ * define a symbol so that we know that we have the fftw_time_diff
+ * function/macro (it did not exist prior to FFTW 1.2)
+ */
+#define FFTW_HAS_TIME_DIFF
+
+/**********************************************
+ * SOLARIS
+ **********************************************/
+#if defined(HAVE_GETHRTIME) && defined(HAVE_HRTIME_T)
+
+/* we use the nanosecond virtual timer */
+#ifdef HAVE_SYS_TIME_H
+#include <sys/time.h>
+#endif
+
+typedef hrtime_t fftw_time;
+
+#define fftw_get_time() gethrtime()
+#define fftw_time_diff(t1,t2) ((t1) - (t2))
+#define fftw_time_to_sec(t) ((double) t / 1.0e9)
+
+/*
+ * a measurement is valid if it runs for at least
+ * FFTW_TIME_MIN seconds.
+ */
+#define FFTW_TIME_MIN (1.0e-4) /* for Solaris nanosecond timer */
+#define FFTW_TIME_REPEAT 8
+
+/**********************************************
+ * Pentium time stamp counter
+ **********************************************/
+#elif defined(__GNUC__) && defined(__i386__) && defined(FFTW_ENABLE_PENTIUM_TIMER)
+
+/*
+ * Use internal Pentium register (time stamp counter). Resolution
+ * is 1/FFTW_CYCLES_PER_SEC seconds (e.g. 5 ns for Pentium 200 MHz).
+ * (This code was contributed by Wolfgang Reimer)
+ */
+
+#ifndef FFTW_CYCLES_PER_SEC
+#error "Must define FFTW_CYCLES_PER_SEC in fftw/config.h to use the Pentium cycle counter"
+#endif
+
+typedef unsigned long long fftw_time;
+
+static __inline__ fftw_time read_tsc()
+{
+ fftw_time ret;
+
+ __asm__ __volatile__("rdtsc": "=A" (ret));
+ /* no input, nothing else clobbered */
+ return ret;
+}
+
+#define fftw_get_time() read_tsc()
+#define fftw_time_diff(t1,t2) ((t1) - (t2))
+#define fftw_time_to_sec(t) (((double) (t)) / FFTW_CYCLES_PER_SEC)
+#define FFTW_TIME_MIN (1.0e-4) /* for Pentium TSC register */
+
+/************* generic systems having gettimeofday ************/
+#elif defined(HAVE_GETTIMEOFDAY) || defined(HAVE_BSDGETTIMEOFDAY)
+#ifdef HAVE_SYS_TIME_H
+#include <sys/time.h>
+#endif
+#ifdef HAVE_UNISTD_H
+#include <unistd.h>
+#endif
+#define FFTW_USE_GETTIMEOFDAY
+
+typedef struct timeval fftw_time;
+
+extern fftw_time fftw_gettimeofday_get_time(void);
+extern fftw_time fftw_gettimeofday_time_diff(fftw_time t1, fftw_time t2);
+#define fftw_get_time() fftw_gettimeofday_get_time()
+#define fftw_time_diff(t1, t2) fftw_gettimeofday_time_diff(t1, t2)
+#define fftw_time_to_sec(t) ((double)(t).tv_sec + (double)(t).tv_usec * 1.0E-6)
+
+#ifndef FFTW_TIME_MIN
+/* this should be fine on any system claiming a microsecond timer */
+#define FFTW_TIME_MIN (1.0e-2)
+#endif
+
+/**********************************************
+ * MACINTOSH
+ **********************************************/
+#elif defined(HAVE_MAC_TIMER)
+
+/*
+ * By default, use the microsecond-timer in the Mac Time Manager.
+ * Alternatively, by changing the following #if 1 to #if 0, you
+ * can use the nanosecond timer available *only* on PCI PowerMacs.
+ * WARNING: the nanosecond timer was just a little experiment;
+ * I haven't gotten it to work reliably. Tips/patches are welcome.
+ */
+#ifndef HAVE_MAC_PCI_TIMER /* use time manager */
+
+/*
+ * Use Macintosh Time Manager routines (maximum resolution is about 20
+ * microseconds).
+ */
+typedef struct fftw_time_struct {
+ unsigned long hi, lo;
+} fftw_time;
+
+extern fftw_time get_Mac_microseconds(void);
+
+#define fftw_get_time() get_Mac_microseconds()
+
+/* define as a function instead of a macro: */
+extern fftw_time fftw_time_diff(fftw_time t1, fftw_time t2);
+
+#define fftw_time_to_sec(t) ((t).lo * 1.0e-6 + 4294967295.0e-6 * (t).hi)
+
+/* very conservative, since timer should be accurate to 20e-6: */
+/* (although this seems not to be the case in practice) */
+#define FFTW_TIME_MIN (5.0e-2) /* for MacOS Time Manager timer */
+
+#else /* use nanosecond timer */
+
+/* Use the nanosecond timer available on PCI PowerMacs. */
+
+#include <DriverServices.h>
+
+typedef AbsoluteTime fftw_time;
+#define fftw_get_time() UpTime()
+#define fftw_time_diff(t1,t2) SubAbsoluteFromAbsolute(t1,t2)
+#define fftw_time_to_sec(t) (AbsoluteToNanoseconds(t).lo * 1.0e-9)
+
+/* Extremely conservative minimum time: */
+/* for MacOS PCI PowerMac nanosecond timer */
+#define FFTW_TIME_MIN (5.0e-3)
+
+#endif /* use nanosecond timer */
+
+/**********************************************
+ * WINDOWS
+ **********************************************/
+#elif defined(HAVE_WIN32_TIMER)
+
+#include <time.h>
+
+typedef unsigned long fftw_time;
+extern unsigned long GetPerfTime(void);
+extern double GetPerfSec(double ticks);
+
+#define fftw_get_time() GetPerfTime()
+#define fftw_time_diff(t1,t2) ((t1) - (t2))
+#define fftw_time_to_sec(t) GetPerfSec(t)
+
+#define FFTW_TIME_MIN (5.0e-2) /* for Win32 timer */
+
+/**********************************************
+ * CRAY
+ **********************************************/
+#elif defined(_CRAYMPP) /* Cray MPP system */
+
+double SECONDR(void); /*
+ * I think you have to link with -lsci to
+ * get this
+ */
+
+typedef double fftw_time;
+#define fftw_get_time() SECONDR()
+#define fftw_time_diff(t1,t2) ((t1) - (t2))
+#define fftw_time_to_sec(t) (t)
+
+#define FFTW_TIME_MIN (1.0e-1) /* for Cray MPP SECONDR timer */
+
+/**********************************************
+ * VANILLA UNIX/ISO C SYSTEMS
+ **********************************************/
+/* last resort: use good old Unix clock() */
+#else
+
+#include <time.h>
+
+typedef clock_t fftw_time;
+
+#ifndef CLOCKS_PER_SEC
+#ifdef sun
+/* stupid sunos4 prototypes */
+#define CLOCKS_PER_SEC 1000000
+extern long clock(void);
+#else /* not sun, we don't know CLOCKS_PER_SEC */
+#error Please define CLOCKS_PER_SEC
+#endif
+#endif
+
+#define fftw_get_time() clock()
+#define fftw_time_diff(t1,t2) ((t1) - (t2))
+#define fftw_time_to_sec(t) (((double) (t)) / CLOCKS_PER_SEC)
+
+/*
+ * ***VERY*** conservative constant: this says that a
+ * measurement must run for 200ms in order to be valid.
+ * You had better check the manual of your machine
+ * to discover if it can do better than this
+ */
+#define FFTW_TIME_MIN (2.0e-1) /* for default clock() timer */
+
+#endif /* UNIX clock() */
+
+/* take FFTW_TIME_REPEAT measurements... */
+#ifndef FFTW_TIME_REPEAT
+#define FFTW_TIME_REPEAT 4
+#endif
+
+/* but do not run for more than TIME_LIMIT seconds while measuring one FFT */
+#ifndef FFTW_TIME_LIMIT
+#define FFTW_TIME_LIMIT 2.0
+#endif
+
+#ifdef __cplusplus
+} /* extern "C" */
+
+#endif /* __cplusplus */
+
+#endif /* FFTW_INT_H */