mirror of
https://github.com/tildearrow/furnace.git
synced 2024-11-25 05:55:12 +00:00
332 lines
8.8 KiB
C
332 lines
8.8 KiB
C
/*
|
|
* Copyright (c) 2003, 2007-14 Matteo Frigo
|
|
* Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
|
|
*
|
|
* 128-bit AVX support by Erik Lindahl, 2015.
|
|
* Erik Lindahl hereby places his modifications in the public domain.
|
|
*
|
|
* 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
|
|
*
|
|
*/
|
|
|
|
#if defined(FFTW_LDOUBLE) || defined(FFTW_QUAD)
|
|
#error "AVX only works in single or double precision"
|
|
#endif
|
|
|
|
#ifdef FFTW_SINGLE
|
|
# define DS(d,s) s /* single-precision option */
|
|
# define SUFF(name) name ## s
|
|
#else
|
|
# define DS(d,s) d /* double-precision option */
|
|
# define SUFF(name) name ## d
|
|
#endif
|
|
|
|
#define SIMD_SUFFIX _avx_128_fma /* for renaming */
|
|
#define VL DS(1,2) /* SIMD vector length, in term of complex numbers */
|
|
#define SIMD_VSTRIDE_OKA(x) DS(SIMD_STRIDE_OKA(x),((x) == 2))
|
|
#define SIMD_STRIDE_OKPAIR SIMD_STRIDE_OK
|
|
|
|
#ifdef _MSC_VER
|
|
#ifndef inline
|
|
#define inline __inline
|
|
#endif
|
|
#endif
|
|
|
|
#include <immintrin.h>
|
|
#ifdef _MSC_VER
|
|
# include <intrin.h>
|
|
#elif defined (__GNUC__)
|
|
# include <x86intrin.h>
|
|
#endif
|
|
|
|
#if !(defined(__AVX__) && defined(__FMA4__)) /* sanity check */
|
|
#error "compiling simd-avx-128-fma.h without -mavx or -mfma4"
|
|
#endif
|
|
|
|
typedef DS(__m128d,__m128) V;
|
|
#define VADD SUFF(_mm_add_p)
|
|
#define VSUB SUFF(_mm_sub_p)
|
|
#define VMUL SUFF(_mm_mul_p)
|
|
#define VXOR SUFF(_mm_xor_p)
|
|
#define SHUF SUFF(_mm_shuffle_p)
|
|
#define VPERM1 SUFF(_mm_permute_p)
|
|
#define UNPCKL SUFF(_mm_unpacklo_p)
|
|
#define UNPCKH SUFF(_mm_unpackhi_p)
|
|
|
|
#define SHUFVALS(fp0,fp1,fp2,fp3) \
|
|
(((fp3) << 6) | ((fp2) << 4) | ((fp1) << 2) | ((fp0)))
|
|
|
|
#define VDUPL(x) DS(_mm_permute_pd(x,0), _mm_moveldup_ps(x))
|
|
#define VDUPH(x) DS(_mm_permute_pd(x,3), _mm_movehdup_ps(x))
|
|
#define LOADH(addr, val) _mm_loadh_pi(val, (const __m64 *)(addr))
|
|
#define LOADL(addr, val) _mm_loadl_pi(val, (const __m64 *)(addr))
|
|
#define STOREH(a, v) DS(_mm_storeh_pd(a, v), _mm_storeh_pi((__m64 *)(a), v))
|
|
#define STOREL(a, v) DS(_mm_storel_pd(a, v), _mm_storel_pi((__m64 *)(a), v))
|
|
|
|
#define VLIT(x0, x1) DS(_mm_set_pd(x0, x1), _mm_set_ps(x0, x1, x0, x1))
|
|
#define DVK(var, val) V var = VLIT(val, val)
|
|
#define LDK(x) x
|
|
|
|
static inline V LDA(const R *x, INT ivs, const R *aligned_like)
|
|
{
|
|
(void)aligned_like; /* UNUSED */
|
|
(void)ivs; /* UNUSED */
|
|
return *(const V *)x;
|
|
}
|
|
|
|
static inline void STA(R *x, V v, INT ovs, const R *aligned_like)
|
|
{
|
|
(void)aligned_like; /* UNUSED */
|
|
(void)ovs; /* UNUSED */
|
|
*(V *)x = v;
|
|
}
|
|
|
|
#ifdef FFTW_SINGLE
|
|
|
|
static inline V LD(const R *x, INT ivs, const R *aligned_like)
|
|
{
|
|
V var;
|
|
#if defined(__ICC) || (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ > 8)
|
|
var = LOADL(x, SUFF(_mm_undefined_p)());
|
|
var = LOADH(x + ivs, var);
|
|
#else
|
|
var = LOADL(x, var);
|
|
var = LOADH(x + ivs, var);
|
|
#endif
|
|
return var;
|
|
}
|
|
|
|
# ifdef _MSC_VER
|
|
# pragma warning(default : 4700)
|
|
# pragma runtime_checks("u", restore)
|
|
# endif
|
|
|
|
static inline void ST(R *x, V v, INT ovs, const R *aligned_like)
|
|
{
|
|
(void)aligned_like; /* UNUSED */
|
|
/* WARNING: the extra_iter hack depends upon STOREL occurring
|
|
after STOREH */
|
|
STOREH(x + ovs, v);
|
|
STOREL(x, v);
|
|
}
|
|
|
|
#else /* ! FFTW_SINGLE */
|
|
# define LD LDA
|
|
# define ST STA
|
|
#endif
|
|
|
|
#define STM2 DS(STA,ST)
|
|
#define STN2(x, v0, v1, ovs) /* nop */
|
|
|
|
#ifdef FFTW_SINGLE
|
|
# define STM4(x, v, ovs, aligned_like) /* no-op */
|
|
/* STN4 is a macro, not a function, thanks to Visual C++ developers
|
|
deciding "it would be infrequent that people would want to pass more
|
|
than 3 [__m128 parameters] by value." 3 parameters ought to be enough
|
|
for anybody. */
|
|
# define STN4(x, v0, v1, v2, v3, ovs) \
|
|
{ \
|
|
V xxx0, xxx1, xxx2, xxx3; \
|
|
xxx0 = UNPCKL(v0, v2); \
|
|
xxx1 = UNPCKH(v0, v2); \
|
|
xxx2 = UNPCKL(v1, v3); \
|
|
xxx3 = UNPCKH(v1, v3); \
|
|
STA(x, UNPCKL(xxx0, xxx2), 0, 0); \
|
|
STA(x + ovs, UNPCKH(xxx0, xxx2), 0, 0); \
|
|
STA(x + 2 * ovs, UNPCKL(xxx1, xxx3), 0, 0); \
|
|
STA(x + 3 * ovs, UNPCKH(xxx1, xxx3), 0, 0); \
|
|
}
|
|
#else /* !FFTW_SINGLE */
|
|
static inline void STM4(R *x, V v, INT ovs, const R *aligned_like)
|
|
{
|
|
(void)aligned_like; /* UNUSED */
|
|
STOREL(x, v);
|
|
STOREH(x + ovs, v);
|
|
}
|
|
# define STN4(x, v0, v1, v2, v3, ovs) /* nothing */
|
|
#endif
|
|
|
|
static inline V FLIP_RI(V x)
|
|
{
|
|
return VPERM1(x, DS(1, SHUFVALS(1, 0, 3, 2)));
|
|
}
|
|
|
|
|
|
static inline V VCONJ(V x)
|
|
{
|
|
/* Produce a SIMD vector[VL] of (0 + -0i).
|
|
|
|
We really want to write this:
|
|
|
|
V pmpm = VLIT(-0.0, 0.0);
|
|
|
|
but historically some compilers have ignored the distiction
|
|
between +0 and -0. It looks like 'gcc-8 -fast-math' treats -0
|
|
as 0 too.
|
|
*/
|
|
union uvec {
|
|
unsigned u[4];
|
|
V v;
|
|
};
|
|
static const union uvec pmpm = {
|
|
#ifdef FFTW_SINGLE
|
|
{ 0x00000000, 0x80000000, 0x00000000, 0x80000000 }
|
|
#else
|
|
{ 0x00000000, 0x00000000, 0x00000000, 0x80000000 }
|
|
#endif
|
|
};
|
|
return VXOR(pmpm.v, x);
|
|
}
|
|
|
|
static inline V VBYI(V x)
|
|
{
|
|
x = VCONJ(x);
|
|
x = FLIP_RI(x);
|
|
return x;
|
|
}
|
|
|
|
/* FMA support */
|
|
#define VFMA(a, b, c) SUFF(_mm_macc_p)(a,b,c)
|
|
#define VFNMS(a, b, c) SUFF(_mm_nmacc_p)(a,b,c)
|
|
#define VFMS(a, b, c) SUFF(_mm_msub_p)(a,b,c)
|
|
#define VFMAI(b, c) SUFF(_mm_addsub_p)(c,FLIP_RI(b))
|
|
#define VFNMSI(b, c) VSUB(c, VBYI(b))
|
|
#define VFMACONJ(b,c) VADD(VCONJ(b),c)
|
|
#define VFMSCONJ(b,c) VSUB(VCONJ(b),c)
|
|
#define VFNMSCONJ(b,c) SUFF(_mm_addsub_p)(c,b)
|
|
|
|
static inline V VZMUL(V tx, V sr)
|
|
{
|
|
V tr = VDUPL(tx);
|
|
V ti = VDUPH(tx);
|
|
tr = VMUL(tr, sr);
|
|
ti = VMUL(ti, FLIP_RI(sr));
|
|
return SUFF(_mm_addsub_p)(tr,ti);
|
|
}
|
|
|
|
static inline V VZMULJ(V tx, V sr)
|
|
{
|
|
V tr = VDUPL(tx);
|
|
V ti = VDUPH(tx);
|
|
tr = VMUL(tr, sr);
|
|
sr = VBYI(sr);
|
|
return VFNMS(ti, sr, tr);
|
|
}
|
|
|
|
static inline V VZMULI(V tx, V sr)
|
|
{
|
|
V tr = VDUPL(tx);
|
|
V ti = VDUPH(tx);
|
|
ti = VMUL(ti, sr);
|
|
sr = VBYI(sr);
|
|
return VFMS(tr, sr, ti);
|
|
}
|
|
|
|
static inline V VZMULIJ(V tx, V sr)
|
|
{
|
|
V tr = VDUPL(tx);
|
|
V ti = VDUPH(tx);
|
|
ti = VMUL(ti, sr);
|
|
tr = VMUL(tr, FLIP_RI(sr));
|
|
return SUFF(_mm_addsub_p)(ti,tr);
|
|
}
|
|
|
|
/* twiddle storage #1: compact, slower */
|
|
#ifdef FFTW_SINGLE
|
|
# define VTW1(v,x) \
|
|
{TW_COS, v, x}, {TW_COS, v+1, x}, {TW_SIN, v, x}, {TW_SIN, v+1, x}
|
|
static inline V BYTW1(const R *t, V sr)
|
|
{
|
|
const V *twp = (const V *)t;
|
|
V tx = twp[0];
|
|
V tr = UNPCKL(tx, tx);
|
|
V ti = UNPCKH(tx, tx);
|
|
tr = VMUL(tr, sr);
|
|
ti = VMUL(ti, FLIP_RI(sr));
|
|
return SUFF(_mm_addsub_p)(tr,ti);
|
|
}
|
|
static inline V BYTWJ1(const R *t, V sr)
|
|
{
|
|
const V *twp = (const V *)t;
|
|
V tx = twp[0];
|
|
V tr = UNPCKL(tx, tx);
|
|
V ti = UNPCKH(tx, tx);
|
|
tr = VMUL(tr, sr);
|
|
sr = VBYI(sr);
|
|
return VFNMS(ti, sr, tr);
|
|
}
|
|
#else /* !FFTW_SINGLE */
|
|
# define VTW1(v,x) {TW_CEXP, v, x}
|
|
static inline V BYTW1(const R *t, V sr)
|
|
{
|
|
V tx = LD(t, 1, t);
|
|
return VZMUL(tx, sr);
|
|
}
|
|
static inline V BYTWJ1(const R *t, V sr)
|
|
{
|
|
V tx = LD(t, 1, t);
|
|
return VZMULJ(tx, sr);
|
|
}
|
|
#endif
|
|
#define TWVL1 (VL)
|
|
|
|
/* twiddle storage #2: twice the space, faster (when in cache) */
|
|
#ifdef FFTW_SINGLE
|
|
# define VTW2(v,x) \
|
|
{TW_COS, v, x}, {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+1, x}, \
|
|
{TW_SIN, v, -x}, {TW_SIN, v, x}, {TW_SIN, v+1, -x}, {TW_SIN, v+1, x}
|
|
#else /* !FFTW_SINGLE */
|
|
# define VTW2(v,x) \
|
|
{TW_COS, v, x}, {TW_COS, v, x}, {TW_SIN, v, -x}, {TW_SIN, v, x}
|
|
#endif
|
|
#define TWVL2 (2 * VL)
|
|
static inline V BYTW2(const R *t, V sr)
|
|
{
|
|
const V *twp = (const V *)t;
|
|
V si = FLIP_RI(sr);
|
|
V tr = twp[0], ti = twp[1];
|
|
return VFMA(tr, sr, VMUL(ti, si));
|
|
}
|
|
static inline V BYTWJ2(const R *t, V sr)
|
|
{
|
|
const V *twp = (const V *)t;
|
|
V si = FLIP_RI(sr);
|
|
V tr = twp[0], ti = twp[1];
|
|
return VFNMS(ti, si, VMUL(tr, sr));
|
|
}
|
|
|
|
/* twiddle storage #3 */
|
|
#ifdef FFTW_SINGLE
|
|
# define VTW3(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}
|
|
# define TWVL3 (VL)
|
|
#else
|
|
# define VTW3(v,x) VTW1(v,x)
|
|
# define TWVL3 TWVL1
|
|
#endif
|
|
|
|
/* twiddle storage for split arrays */
|
|
#ifdef FFTW_SINGLE
|
|
# define VTWS(v,x) \
|
|
{TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, \
|
|
{TW_SIN, v, x}, {TW_SIN, v+1, x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, x}
|
|
#else
|
|
# define VTWS(v,x) \
|
|
{TW_COS, v, x}, {TW_COS, v+1, x}, {TW_SIN, v, x}, {TW_SIN, v+1, x}
|
|
#endif
|
|
#define TWVLS (2 * VL)
|
|
|
|
#define VLEAVE() /* nothing */
|
|
|
|
#include "simd-common.h"
|