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@@ -0,0 +1,415 @@
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+/*
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+ * Copyright (c) 2003, 2007-14 Matteo Frigo
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+ * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
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+ *
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+ * The following statement of license applies *only* to this header file,
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+ * and *not* to the other files distributed with FFTW or derived therefrom:
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+ *
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+ * Redistribution and use in source and binary forms, with or without
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+ * modification, are permitted provided that the following conditions
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+ * are met:
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+ *
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+ * 1. Redistributions of source code must retain the above copyright
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+ * notice, this list of conditions and the following disclaimer.
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+ *
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+ * 2. Redistributions in binary form must reproduce the above copyright
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+ * notice, this list of conditions and the following disclaimer in the
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+ * documentation and/or other materials provided with the distribution.
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+ *
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+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS
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+ * OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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+ * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
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+ * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
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+ * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
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+ * WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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+ */
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+
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+/***************************** NOTE TO USERS *********************************
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+ *
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+ * THIS IS A HEADER FILE, NOT A MANUAL
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+ *
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+ * If you want to know how to use FFTW, please read the manual,
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+ * online at http://www.fftw.org/doc/ and also included with FFTW.
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+ * For a quick start, see the manual's tutorial section.
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+ *
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+ * (Reading header files to learn how to use a library is a habit
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+ * stemming from code lacking a proper manual. Arguably, it's a
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+ * *bad* habit in most cases, because header files can contain
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+ * interfaces that are not part of the public, stable API.)
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+ *
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+ ****************************************************************************/
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+
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+#ifndef FFTW3_H
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+#define FFTW3_H
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+
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+#include <stdio.h>
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+
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+#ifdef __cplusplus
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+extern "C"
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+{
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+#endif /* __cplusplus */
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+
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+/* If <complex.h> is included, use the C99 complex type. Otherwise
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+ define a type bit-compatible with C99 complex */
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+#if !defined(FFTW_NO_Complex) && defined(_Complex_I) && defined(complex) && defined(I)
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+# define FFTW_DEFINE_COMPLEX(R, C) typedef R _Complex C
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+#else
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+# define FFTW_DEFINE_COMPLEX(R, C) typedef R C[2]
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+#endif
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+
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+#define FFTW_CONCAT(prefix, name) prefix ## name
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+#define FFTW_MANGLE_DOUBLE(name) FFTW_CONCAT(fftw_, name)
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+#define FFTW_MANGLE_FLOAT(name) FFTW_CONCAT(fftwf_, name)
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+#define FFTW_MANGLE_LONG_DOUBLE(name) FFTW_CONCAT(fftwl_, name)
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+#define FFTW_MANGLE_QUAD(name) FFTW_CONCAT(fftwq_, name)
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+
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+/* IMPORTANT: for Windows compilers, you should add a line
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+*/
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+#define FFTW_DLL
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+/*
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+ here and in kernel/ifftw.h if you are compiling/using FFTW as a
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+ DLL, in order to do the proper importing/exporting, or
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+ alternatively compile with -DFFTW_DLL or the equivalent
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+ command-line flag. This is not necessary under MinGW/Cygwin, where
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+ libtool does the imports/exports automatically. */
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+#if defined(FFTW_DLL) && (defined(_WIN32) || defined(__WIN32__))
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+ /* annoying Windows syntax for shared-library declarations */
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+# if defined(COMPILING_FFTW) /* defined in api.h when compiling FFTW */
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+# define FFTW_EXTERN extern __declspec(dllexport)
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+# else /* user is calling FFTW; import symbol */
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+# define FFTW_EXTERN extern __declspec(dllimport)
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+# endif
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+#else
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+# define FFTW_EXTERN extern
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+#endif
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+
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+enum fftw_r2r_kind_do_not_use_me {
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+ FFTW_R2HC=0, FFTW_HC2R=1, FFTW_DHT=2,
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+ FFTW_REDFT00=3, FFTW_REDFT01=4, FFTW_REDFT10=5, FFTW_REDFT11=6,
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+ FFTW_RODFT00=7, FFTW_RODFT01=8, FFTW_RODFT10=9, FFTW_RODFT11=10
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+};
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+
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+struct fftw_iodim_do_not_use_me {
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+ int n; /* dimension size */
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+ int is; /* input stride */
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+ int os; /* output stride */
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+};
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+
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+#include <stddef.h> /* for ptrdiff_t */
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+struct fftw_iodim64_do_not_use_me {
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+ ptrdiff_t n; /* dimension size */
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+ ptrdiff_t is; /* input stride */
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+ ptrdiff_t os; /* output stride */
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+};
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+
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+typedef void (*fftw_write_char_func_do_not_use_me)(char c, void *);
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+typedef int (*fftw_read_char_func_do_not_use_me)(void *);
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+
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+/*
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+ huge second-order macro that defines prototypes for all API
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+ functions. We expand this macro for each supported precision
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+
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+ X: name-mangling macro
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+ R: real data type
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+ C: complex data type
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+*/
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+
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+#define FFTW_DEFINE_API(X, R, C) \
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+ \
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+FFTW_DEFINE_COMPLEX(R, C); \
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+ \
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+typedef struct X(plan_s) *X(plan); \
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+ \
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+typedef struct fftw_iodim_do_not_use_me X(iodim); \
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+typedef struct fftw_iodim64_do_not_use_me X(iodim64); \
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+ \
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+typedef enum fftw_r2r_kind_do_not_use_me X(r2r_kind); \
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+ \
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+typedef fftw_write_char_func_do_not_use_me X(write_char_func); \
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+typedef fftw_read_char_func_do_not_use_me X(read_char_func); \
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+ \
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+FFTW_EXTERN void X(execute)(const X(plan) p); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_dft)(int rank, const int *n, \
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+ C *in, C *out, int sign, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_dft_1d)(int n, C *in, C *out, int sign, \
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+ unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_dft_2d)(int n0, int n1, \
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+ C *in, C *out, int sign, unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_dft_3d)(int n0, int n1, int n2, \
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+ C *in, C *out, int sign, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_many_dft)(int rank, const int *n, \
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+ int howmany, \
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+ C *in, const int *inembed, \
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+ int istride, int idist, \
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+ C *out, const int *onembed, \
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+ int ostride, int odist, \
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+ int sign, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru_dft)(int rank, const X(iodim) *dims, \
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+ int howmany_rank, \
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+ const X(iodim) *howmany_dims, \
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+ C *in, C *out, \
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+ int sign, unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_guru_split_dft)(int rank, const X(iodim) *dims, \
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+ int howmany_rank, \
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+ const X(iodim) *howmany_dims, \
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+ R *ri, R *ii, R *ro, R *io, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru64_dft)(int rank, \
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+ const X(iodim64) *dims, \
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+ int howmany_rank, \
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+ const X(iodim64) *howmany_dims, \
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+ C *in, C *out, \
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+ int sign, unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_guru64_split_dft)(int rank, \
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+ const X(iodim64) *dims, \
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+ int howmany_rank, \
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+ const X(iodim64) *howmany_dims, \
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+ R *ri, R *ii, R *ro, R *io, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN void X(execute_dft)(const X(plan) p, C *in, C *out); \
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+FFTW_EXTERN void X(execute_split_dft)(const X(plan) p, R *ri, R *ii, \
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+ R *ro, R *io); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_many_dft_r2c)(int rank, const int *n, \
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+ int howmany, \
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+ R *in, const int *inembed, \
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+ int istride, int idist, \
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+ C *out, const int *onembed, \
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+ int ostride, int odist, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_dft_r2c)(int rank, const int *n, \
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+ R *in, C *out, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_dft_r2c_1d)(int n,R *in,C *out,unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_dft_r2c_2d)(int n0, int n1, \
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+ R *in, C *out, unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_dft_r2c_3d)(int n0, int n1, \
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+ int n2, \
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+ R *in, C *out, unsigned flags); \
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+ \
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+ \
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+FFTW_EXTERN X(plan) X(plan_many_dft_c2r)(int rank, const int *n, \
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+ int howmany, \
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+ C *in, const int *inembed, \
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+ int istride, int idist, \
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+ R *out, const int *onembed, \
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+ int ostride, int odist, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_dft_c2r)(int rank, const int *n, \
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+ C *in, R *out, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_dft_c2r_1d)(int n,C *in,R *out,unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_dft_c2r_2d)(int n0, int n1, \
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+ C *in, R *out, unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_dft_c2r_3d)(int n0, int n1, \
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+ int n2, \
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+ C *in, R *out, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru_dft_r2c)(int rank, const X(iodim) *dims, \
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+ int howmany_rank, \
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+ const X(iodim) *howmany_dims, \
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+ R *in, C *out, \
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+ unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_guru_dft_c2r)(int rank, const X(iodim) *dims, \
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+ int howmany_rank, \
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+ const X(iodim) *howmany_dims, \
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+ C *in, R *out, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru_split_dft_r2c)( \
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+ int rank, const X(iodim) *dims, \
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+ int howmany_rank, \
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+ const X(iodim) *howmany_dims, \
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+ R *in, R *ro, R *io, \
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+ unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_guru_split_dft_c2r)( \
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+ int rank, const X(iodim) *dims, \
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+ int howmany_rank, \
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+ const X(iodim) *howmany_dims, \
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+ R *ri, R *ii, R *out, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru64_dft_r2c)(int rank, \
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+ const X(iodim64) *dims, \
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+ int howmany_rank, \
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+ const X(iodim64) *howmany_dims, \
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+ R *in, C *out, \
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+ unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_guru64_dft_c2r)(int rank, \
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+ const X(iodim64) *dims, \
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+ int howmany_rank, \
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+ const X(iodim64) *howmany_dims, \
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+ C *in, R *out, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru64_split_dft_r2c)( \
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+ int rank, const X(iodim64) *dims, \
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+ int howmany_rank, \
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+ const X(iodim64) *howmany_dims, \
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+ R *in, R *ro, R *io, \
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+ unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_guru64_split_dft_c2r)( \
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+ int rank, const X(iodim64) *dims, \
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+ int howmany_rank, \
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+ const X(iodim64) *howmany_dims, \
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+ R *ri, R *ii, R *out, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN void X(execute_dft_r2c)(const X(plan) p, R *in, C *out); \
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+FFTW_EXTERN void X(execute_dft_c2r)(const X(plan) p, C *in, R *out); \
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+ \
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+FFTW_EXTERN void X(execute_split_dft_r2c)(const X(plan) p, \
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+ R *in, R *ro, R *io); \
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+FFTW_EXTERN void X(execute_split_dft_c2r)(const X(plan) p, \
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+ R *ri, R *ii, R *out); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_many_r2r)(int rank, const int *n, \
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+ int howmany, \
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+ R *in, const int *inembed, \
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+ int istride, int idist, \
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+ R *out, const int *onembed, \
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+ int ostride, int odist, \
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+ const X(r2r_kind) *kind, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_r2r)(int rank, const int *n, R *in, R *out, \
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+ const X(r2r_kind) *kind, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_r2r_1d)(int n, R *in, R *out, \
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+ X(r2r_kind) kind, unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_r2r_2d)(int n0, int n1, R *in, R *out, \
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+ X(r2r_kind) kind0, X(r2r_kind) kind1, \
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+ unsigned flags); \
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+FFTW_EXTERN X(plan) X(plan_r2r_3d)(int n0, int n1, int n2, \
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+ R *in, R *out, X(r2r_kind) kind0, \
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+ X(r2r_kind) kind1, X(r2r_kind) kind2, \
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+ unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru_r2r)(int rank, const X(iodim) *dims, \
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+ int howmany_rank, \
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+ const X(iodim) *howmany_dims, \
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+ R *in, R *out, \
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+ const X(r2r_kind) *kind, unsigned flags); \
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+ \
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+FFTW_EXTERN X(plan) X(plan_guru64_r2r)(int rank, const X(iodim64) *dims, \
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+ int howmany_rank, \
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+ const X(iodim64) *howmany_dims, \
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+ R *in, R *out, \
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+ const X(r2r_kind) *kind, unsigned flags); \
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+ \
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+FFTW_EXTERN void X(execute_r2r)(const X(plan) p, R *in, R *out); \
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+ \
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+FFTW_EXTERN void X(destroy_plan)(X(plan) p); \
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+FFTW_EXTERN void X(forget_wisdom)(void); \
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+FFTW_EXTERN void X(cleanup)(void); \
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+ \
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+FFTW_EXTERN void X(set_timelimit)(double t); \
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+ \
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+FFTW_EXTERN void X(plan_with_nthreads)(int nthreads); \
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+FFTW_EXTERN int X(init_threads)(void); \
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+FFTW_EXTERN void X(cleanup_threads)(void); \
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+FFTW_EXTERN void X(make_planner_thread_safe)(void); \
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+ \
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+FFTW_EXTERN int X(export_wisdom_to_filename)(const char *filename); \
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+FFTW_EXTERN void X(export_wisdom_to_file)(FILE *output_file); \
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+FFTW_EXTERN char *X(export_wisdom_to_string)(void); \
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+FFTW_EXTERN void X(export_wisdom)(X(write_char_func) write_char, \
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+ void *data); \
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+FFTW_EXTERN int X(import_system_wisdom)(void); \
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+FFTW_EXTERN int X(import_wisdom_from_filename)(const char *filename); \
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+FFTW_EXTERN int X(import_wisdom_from_file)(FILE *input_file); \
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+FFTW_EXTERN int X(import_wisdom_from_string)(const char *input_string); \
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+FFTW_EXTERN int X(import_wisdom)(X(read_char_func) read_char, void *data); \
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+ \
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+FFTW_EXTERN void X(fprint_plan)(const X(plan) p, FILE *output_file); \
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+FFTW_EXTERN void X(print_plan)(const X(plan) p); \
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+FFTW_EXTERN char *X(sprint_plan)(const X(plan) p); \
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+ \
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+FFTW_EXTERN void *X(malloc)(size_t n); \
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+FFTW_EXTERN R *X(alloc_real)(size_t n); \
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+FFTW_EXTERN C *X(alloc_complex)(size_t n); \
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+FFTW_EXTERN void X(free)(void *p); \
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+ \
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+FFTW_EXTERN void X(flops)(const X(plan) p, \
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+ double *add, double *mul, double *fmas); \
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+FFTW_EXTERN double X(estimate_cost)(const X(plan) p); \
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+FFTW_EXTERN double X(cost)(const X(plan) p); \
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+ \
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+FFTW_EXTERN int X(alignment_of)(R *p); \
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+FFTW_EXTERN const char X(version)[]; \
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+FFTW_EXTERN const char X(cc)[]; \
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+FFTW_EXTERN const char X(codelet_optim)[];
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+
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+
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+/* end of FFTW_DEFINE_API macro */
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+
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+FFTW_DEFINE_API(FFTW_MANGLE_DOUBLE, double, fftw_complex)
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+FFTW_DEFINE_API(FFTW_MANGLE_FLOAT, float, fftwf_complex)
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+FFTW_DEFINE_API(FFTW_MANGLE_LONG_DOUBLE, long double, fftwl_complex)
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+
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+/* __float128 (quad precision) is a gcc extension on i386, x86_64, and ia64
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+ for gcc >= 4.6 (compiled in FFTW with --enable-quad-precision) */
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+#if (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) \
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+ && !(defined(__ICC) || defined(__INTEL_COMPILER) || defined(__CUDACC__) || defined(__PGI)) \
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+ && (defined(__i386__) || defined(__x86_64__) || defined(__ia64__))
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+# if !defined(FFTW_NO_Complex) && defined(_Complex_I) && defined(complex) && defined(I)
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+/* note: __float128 is a typedef, which is not supported with the _Complex
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+ keyword in gcc, so instead we use this ugly __attribute__ version.
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+ However, we can't simply pass the __attribute__ version to
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+ FFTW_DEFINE_API because the __attribute__ confuses gcc in pointer
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+ types. Hence redefining FFTW_DEFINE_COMPLEX. Ugh. */
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+# undef FFTW_DEFINE_COMPLEX
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+# define FFTW_DEFINE_COMPLEX(R, C) typedef _Complex float __attribute__((mode(TC))) C
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+# endif
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+FFTW_DEFINE_API(FFTW_MANGLE_QUAD, __float128, fftwq_complex)
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+#endif
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+
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+#define FFTW_FORWARD (-1)
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+#define FFTW_BACKWARD (+1)
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+
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+#define FFTW_NO_TIMELIMIT (-1.0)
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+
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+/* documented flags */
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+#define FFTW_MEASURE (0U)
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+#define FFTW_DESTROY_INPUT (1U << 0)
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+#define FFTW_UNALIGNED (1U << 1)
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+#define FFTW_CONSERVE_MEMORY (1U << 2)
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+#define FFTW_EXHAUSTIVE (1U << 3) /* NO_EXHAUSTIVE is default */
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+#define FFTW_PRESERVE_INPUT (1U << 4) /* cancels FFTW_DESTROY_INPUT */
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+#define FFTW_PATIENT (1U << 5) /* IMPATIENT is default */
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+#define FFTW_ESTIMATE (1U << 6)
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+#define FFTW_WISDOM_ONLY (1U << 21)
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+
|
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+/* undocumented beyond-guru flags */
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+#define FFTW_ESTIMATE_PATIENT (1U << 7)
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+#define FFTW_BELIEVE_PCOST (1U << 8)
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+#define FFTW_NO_DFT_R2HC (1U << 9)
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+#define FFTW_NO_NONTHREADED (1U << 10)
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+#define FFTW_NO_BUFFERING (1U << 11)
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+#define FFTW_NO_INDIRECT_OP (1U << 12)
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+#define FFTW_ALLOW_LARGE_GENERIC (1U << 13) /* NO_LARGE_GENERIC is default */
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+#define FFTW_NO_RANK_SPLITS (1U << 14)
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+#define FFTW_NO_VRANK_SPLITS (1U << 15)
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+#define FFTW_NO_VRECURSE (1U << 16)
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+#define FFTW_NO_SIMD (1U << 17)
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+#define FFTW_NO_SLOW (1U << 18)
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+#define FFTW_NO_FIXED_RADIX_LARGE_N (1U << 19)
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|
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+#define FFTW_ALLOW_PRUNING (1U << 20)
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+
|
|
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+#ifdef __cplusplus
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+} /* extern "C" */
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|
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+#endif /* __cplusplus */
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+
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|
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+#endif /* FFTW3_H */
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xuqiang