333 lines
8.8 KiB
C
333 lines
8.8 KiB
C
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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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* 128-bit AVX support by Erik Lindahl, 2015.
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* Erik Lindahl hereby places his modifications in the public domain.
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*
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*/
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#if defined(FFTW_LDOUBLE) || defined(FFTW_QUAD)
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#error "AVX only works in single or double precision"
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#endif
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#ifdef FFTW_SINGLE
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# define DS(d,s) s /* single-precision option */
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# define SUFF(name) name ## s
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#else
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# define DS(d,s) d /* double-precision option */
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# define SUFF(name) name ## d
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#endif
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#define SIMD_SUFFIX _avx_128_fma /* for renaming */
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#define VL DS(1,2) /* SIMD vector length, in term of complex numbers */
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#define SIMD_VSTRIDE_OKA(x) DS(SIMD_STRIDE_OKA(x),((x) == 2))
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#define SIMD_STRIDE_OKPAIR SIMD_STRIDE_OK
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#ifdef _MSC_VER
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#ifndef inline
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#define inline __inline
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#endif
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#endif
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#include <immintrin.h>
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#ifdef _MSC_VER
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# include <intrin.h>
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#elif defined (__GNUC__)
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# include <x86intrin.h>
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#endif
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#if !(defined(__AVX__) && defined(__FMA4__)) /* sanity check */
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#error "compiling simd-avx-128-fma.h without -mavx or -mfma4"
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#endif
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typedef DS(__m128d,__m128) V;
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#define VADD SUFF(_mm_add_p)
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#define VSUB SUFF(_mm_sub_p)
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#define VMUL SUFF(_mm_mul_p)
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#define VXOR SUFF(_mm_xor_p)
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#define SHUF SUFF(_mm_shuffle_p)
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#define VPERM1 SUFF(_mm_permute_p)
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#define UNPCKL SUFF(_mm_unpacklo_p)
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#define UNPCKH SUFF(_mm_unpackhi_p)
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#define SHUFVALS(fp0,fp1,fp2,fp3) \
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(((fp3) << 6) | ((fp2) << 4) | ((fp1) << 2) | ((fp0)))
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#define VDUPL(x) DS(_mm_permute_pd(x,0), _mm_moveldup_ps(x))
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#define VDUPH(x) DS(_mm_permute_pd(x,3), _mm_movehdup_ps(x))
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#define LOADH(addr, val) _mm_loadh_pi(val, (const __m64 *)(addr))
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#define LOADL(addr, val) _mm_loadl_pi(val, (const __m64 *)(addr))
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#define STOREH(a, v) DS(_mm_storeh_pd(a, v), _mm_storeh_pi((__m64 *)(a), v))
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#define STOREL(a, v) DS(_mm_storel_pd(a, v), _mm_storel_pi((__m64 *)(a), v))
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#define VLIT(x0, x1) DS(_mm_set_pd(x0, x1), _mm_set_ps(x0, x1, x0, x1))
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#define DVK(var, val) V var = VLIT(val, val)
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#define LDK(x) x
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static inline V LDA(const R *x, INT ivs, const R *aligned_like)
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{
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(void)aligned_like; /* UNUSED */
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(void)ivs; /* UNUSED */
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return *(const V *)x;
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}
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static inline void STA(R *x, V v, INT ovs, const R *aligned_like)
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{
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(void)aligned_like; /* UNUSED */
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(void)ovs; /* UNUSED */
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*(V *)x = v;
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}
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#ifdef FFTW_SINGLE
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static inline V LD(const R *x, INT ivs, const R *aligned_like)
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{
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V var;
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#if defined(__ICC) || (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ > 8)
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var = LOADL(x, SUFF(_mm_undefined_p)());
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var = LOADH(x + ivs, var);
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#else
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var = LOADL(x, var);
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var = LOADH(x + ivs, var);
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#endif
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return var;
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}
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# ifdef _MSC_VER
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# pragma warning(default : 4700)
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# pragma runtime_checks("u", restore)
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# endif
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static inline void ST(R *x, V v, INT ovs, const R *aligned_like)
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{
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(void)aligned_like; /* UNUSED */
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/* WARNING: the extra_iter hack depends upon STOREL occurring
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after STOREH */
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STOREH(x + ovs, v);
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STOREL(x, v);
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}
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#else /* ! FFTW_SINGLE */
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# define LD LDA
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# define ST STA
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#endif
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#define STM2 DS(STA,ST)
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#define STN2(x, v0, v1, ovs) /* nop */
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#ifdef FFTW_SINGLE
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# define STM4(x, v, ovs, aligned_like) /* no-op */
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/* STN4 is a macro, not a function, thanks to Visual C++ developers
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deciding "it would be infrequent that people would want to pass more
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than 3 [__m128 parameters] by value." 3 parameters ought to be enough
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for anybody. */
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# define STN4(x, v0, v1, v2, v3, ovs) \
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{ \
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V xxx0, xxx1, xxx2, xxx3; \
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xxx0 = UNPCKL(v0, v2); \
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xxx1 = UNPCKH(v0, v2); \
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xxx2 = UNPCKL(v1, v3); \
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xxx3 = UNPCKH(v1, v3); \
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STA(x, UNPCKL(xxx0, xxx2), 0, 0); \
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STA(x + ovs, UNPCKH(xxx0, xxx2), 0, 0); \
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STA(x + 2 * ovs, UNPCKL(xxx1, xxx3), 0, 0); \
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STA(x + 3 * ovs, UNPCKH(xxx1, xxx3), 0, 0); \
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}
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#else /* !FFTW_SINGLE */
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static inline void STM4(R *x, V v, INT ovs, const R *aligned_like)
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{
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(void)aligned_like; /* UNUSED */
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STOREL(x, v);
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STOREH(x + ovs, v);
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}
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# define STN4(x, v0, v1, v2, v3, ovs) /* nothing */
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#endif
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static inline V FLIP_RI(V x)
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{
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return VPERM1(x, DS(1, SHUFVALS(1, 0, 3, 2)));
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}
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static inline V VCONJ(V x)
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{
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/* Produce a SIMD vector[VL] of (0 + -0i).
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We really want to write this:
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V pmpm = VLIT(-0.0, 0.0);
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but historically some compilers have ignored the distiction
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between +0 and -0. It looks like 'gcc-8 -fast-math' treats -0
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as 0 too.
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*/
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union uvec {
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unsigned u[4];
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V v;
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};
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static const union uvec pmpm = {
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#ifdef FFTW_SINGLE
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{ 0x00000000, 0x80000000, 0x00000000, 0x80000000 }
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#else
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{ 0x00000000, 0x00000000, 0x00000000, 0x80000000 }
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#endif
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};
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return VXOR(pmpm.v, x);
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}
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static inline V VBYI(V x)
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{
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x = VCONJ(x);
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x = FLIP_RI(x);
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return x;
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}
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/* FMA support */
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#define VFMA(a, b, c) SUFF(_mm_macc_p)(a,b,c)
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#define VFNMS(a, b, c) SUFF(_mm_nmacc_p)(a,b,c)
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#define VFMS(a, b, c) SUFF(_mm_msub_p)(a,b,c)
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#define VFMAI(b, c) SUFF(_mm_addsub_p)(c,FLIP_RI(b))
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#define VFNMSI(b, c) VSUB(c, VBYI(b))
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#define VFMACONJ(b,c) VADD(VCONJ(b),c)
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#define VFMSCONJ(b,c) VSUB(VCONJ(b),c)
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#define VFNMSCONJ(b,c) SUFF(_mm_addsub_p)(c,b)
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static inline V VZMUL(V tx, V sr)
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{
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V tr = VDUPL(tx);
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V ti = VDUPH(tx);
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tr = VMUL(tr, sr);
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ti = VMUL(ti, FLIP_RI(sr));
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return SUFF(_mm_addsub_p)(tr,ti);
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}
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static inline V VZMULJ(V tx, V sr)
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{
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V tr = VDUPL(tx);
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V ti = VDUPH(tx);
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tr = VMUL(tr, sr);
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sr = VBYI(sr);
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return VFNMS(ti, sr, tr);
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}
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static inline V VZMULI(V tx, V sr)
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{
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V tr = VDUPL(tx);
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V ti = VDUPH(tx);
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ti = VMUL(ti, sr);
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sr = VBYI(sr);
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return VFMS(tr, sr, ti);
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}
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static inline V VZMULIJ(V tx, V sr)
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{
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V tr = VDUPL(tx);
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V ti = VDUPH(tx);
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ti = VMUL(ti, sr);
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tr = VMUL(tr, FLIP_RI(sr));
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return SUFF(_mm_addsub_p)(ti,tr);
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}
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/* twiddle storage #1: compact, slower */
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#ifdef FFTW_SINGLE
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# define VTW1(v,x) \
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{TW_COS, v, x}, {TW_COS, v+1, x}, {TW_SIN, v, x}, {TW_SIN, v+1, x}
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static inline V BYTW1(const R *t, V sr)
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{
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const V *twp = (const V *)t;
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V tx = twp[0];
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V tr = UNPCKL(tx, tx);
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V ti = UNPCKH(tx, tx);
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tr = VMUL(tr, sr);
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ti = VMUL(ti, FLIP_RI(sr));
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return SUFF(_mm_addsub_p)(tr,ti);
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}
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static inline V BYTWJ1(const R *t, V sr)
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{
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const V *twp = (const V *)t;
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V tx = twp[0];
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V tr = UNPCKL(tx, tx);
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V ti = UNPCKH(tx, tx);
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tr = VMUL(tr, sr);
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sr = VBYI(sr);
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return VFNMS(ti, sr, tr);
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}
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#else /* !FFTW_SINGLE */
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# define VTW1(v,x) {TW_CEXP, v, x}
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static inline V BYTW1(const R *t, V sr)
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{
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V tx = LD(t, 1, t);
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return VZMUL(tx, sr);
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}
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static inline V BYTWJ1(const R *t, V sr)
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{
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V tx = LD(t, 1, t);
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return VZMULJ(tx, sr);
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}
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#endif
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#define TWVL1 (VL)
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/* twiddle storage #2: twice the space, faster (when in cache) */
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#ifdef FFTW_SINGLE
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# define VTW2(v,x) \
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{TW_COS, v, x}, {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+1, x}, \
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{TW_SIN, v, -x}, {TW_SIN, v, x}, {TW_SIN, v+1, -x}, {TW_SIN, v+1, x}
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#else /* !FFTW_SINGLE */
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# define VTW2(v,x) \
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{TW_COS, v, x}, {TW_COS, v, x}, {TW_SIN, v, -x}, {TW_SIN, v, x}
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#endif
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#define TWVL2 (2 * VL)
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static inline V BYTW2(const R *t, V sr)
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{
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const V *twp = (const V *)t;
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V si = FLIP_RI(sr);
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V tr = twp[0], ti = twp[1];
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return VFMA(tr, sr, VMUL(ti, si));
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}
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static inline V BYTWJ2(const R *t, V sr)
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{
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const V *twp = (const V *)t;
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V si = FLIP_RI(sr);
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V tr = twp[0], ti = twp[1];
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return VFNMS(ti, si, VMUL(tr, sr));
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}
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/* twiddle storage #3 */
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#ifdef FFTW_SINGLE
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# define VTW3(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}
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# define TWVL3 (VL)
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#else
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# define VTW3(v,x) VTW1(v,x)
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# define TWVL3 TWVL1
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#endif
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/* twiddle storage for split arrays */
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#ifdef FFTW_SINGLE
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# define VTWS(v,x) \
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{TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, \
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{TW_SIN, v, x}, {TW_SIN, v+1, x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, x}
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#else
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# define VTWS(v,x) \
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{TW_COS, v, x}, {TW_COS, v+1, x}, {TW_SIN, v, x}, {TW_SIN, v+1, x}
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#endif
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#define TWVLS (2 * VL)
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#define VLEAVE() /* nothing */
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#include "simd-common.h"
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