462 lines
16 KiB
C
462 lines
16 KiB
C
/*
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* Copyright (c) 2003, 2007-11 Matteo Frigo
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* Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
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*
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* Knights Corner Vector Instruction support added by Romain Dolbeau.
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* Romain Dolbeau hereby places his modifications in the public domain.
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*
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*/
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#if defined(FFTW_LDOUBLE) || defined(FFTW_QUAD)
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#error "Knights Corner vector instructions 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 ## _ps
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# define SCAL(x) x ## f
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#else /* !FFTW_SINGLE */
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# define DS(d,s) d /* double-precision option */
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# define SUFF(name) name ## _pd
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# define SCAL(x) x
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#endif /* FFTW_SINGLE */
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#define SIMD_SUFFIX _kcvi /* for renaming */
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#define VL DS(4, 8) /* SIMD complex vector length */
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#define SIMD_VSTRIDE_OKA(x) ((x) == 2)
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#define SIMD_STRIDE_OKPAIR SIMD_STRIDE_OK
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/* configuration ; KNF 0 0 0 1 0 1 */
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#define KCVI_VBYI_SINGLE_USE_MUL 0
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#define KCVI_VBYI_DOUBLE_USE_MUL 0
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#define KCVI_LD_DOUBLE_USE_UNPACK 1
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#define KCVI_ST_DOUBLE_USE_PACK 1
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#define KCVI_ST2_DOUBLE_USE_STN2 0
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#define KCVI_MULZ_USE_SWIZZLE 1
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#include <immintrin.h>
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typedef DS(__m512d, __m512) V;
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#define VADD(a,b) SUFF(_mm512_add)(a,b)
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#define VSUB(a,b) SUFF(_mm512_sub)(a,b)
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#define VMUL(a,b) SUFF(_mm512_mul)(a,b)
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#define VFMA(a, b, c) SUFF(_mm512_fmadd)(a, b, c) //VADD(c, VMUL(a, b))
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#define VFMS(a, b, c) SUFF(_mm512_fmsub)(a, b, c) //VSUB(VMUL(a, b), c)
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#define VFNMS(a, b, c) SUFF(_mm512_fnmadd)(a, b, c) //VSUB(c, VMUL(a, b))
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#define LDK(x) x
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#define VLIT(re, im) SUFF(_mm512_setr4)(im, re, im, re)
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#define DVK(var, val) V var = SUFF(_mm512_set1)(val)
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static inline V LDA(const R *x, INT ivs, const R *aligned_like) {
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return SUFF(_mm512_load)(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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SUFF(_mm512_store)(x, v);
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}
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#if FFTW_SINGLE
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#define VXOR(a,b) _mm512_xor_epi32(a,b)
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static inline V LDu(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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__m512i index = _mm512_set_epi32(7 * ivs + 1, 7 * ivs,
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6 * ivs + 1, 6 * ivs,
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5 * ivs + 1, 5 * ivs,
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4 * ivs + 1, 4 * ivs,
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3 * ivs + 1, 3 * ivs,
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2 * ivs + 1, 2 * ivs,
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1 * ivs + 1, 1 * ivs,
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0 * ivs + 1, 0 * ivs);
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return _mm512_i32gather_ps(index, x, _MM_SCALE_4);
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}
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static inline void STu(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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__m512i index = _mm512_set_epi32(7 * ovs + 1, 7 * ovs,
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6 * ovs + 1, 6 * ovs,
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5 * ovs + 1, 5 * ovs,
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4 * ovs + 1, 4 * ovs,
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3 * ovs + 1, 3 * ovs,
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2 * ovs + 1, 2 * ovs,
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1 * ovs + 1, 1 * ovs,
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0 * ovs + 1, 0 * ovs);
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_mm512_i32scatter_ps(x, index, v, _MM_SCALE_4);
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}
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static inline V FLIP_RI(V x)
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{
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return (V)_mm512_shuffle_epi32((__m512i)x, _MM_PERM_CDAB);
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}
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#define VDUPH(a) (V)_mm512_shuffle_epi32((__m512i)a, _MM_PERM_DDBB);
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#define VDUPL(a) (V)_mm512_shuffle_epi32((__m512i)a, _MM_PERM_CCAA);
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#else /* !FFTW_SINGLE */
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#define VXOR(a,b) _mm512_xor_epi64(a,b)
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#if defined (KCVI_LD_DOUBLE_USE_UNPACK) && KCVI_LD_DOUBLE_USE_UNPACK
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static inline V LDu(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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V temp;
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/* no need for hq here */
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temp = _mm512_mask_loadunpacklo_pd(temp, 0x0003, x + (0 * ivs));
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temp = _mm512_mask_loadunpacklo_pd(temp, 0x000c, x + (1 * ivs));
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temp = _mm512_mask_loadunpacklo_pd(temp, 0x0030, x + (2 * ivs));
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temp = _mm512_mask_loadunpacklo_pd(temp, 0x00c0, x + (3 * ivs));
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return temp;
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}
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#else
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static inline V LDu(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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__declspec(align(64)) R temp[8];
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int i;
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for (i = 0 ; i < 4 ; i++) {
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temp[i*2] = x[i * ivs];
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temp[i*2+1] = x[i * ivs + 1];
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}
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return _mm512_load_pd(temp);
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}
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#endif
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#if defined(KCVI_ST_DOUBLE_USE_PACK) && KCVI_ST_DOUBLE_USE_PACK
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static inline void STu(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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/* no need for hq here */
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_mm512_mask_packstorelo_pd(x + (0 * ovs), 0x0003, v);
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_mm512_mask_packstorelo_pd(x + (1 * ovs), 0x000c, v);
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_mm512_mask_packstorelo_pd(x + (2 * ovs), 0x0030, v);
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_mm512_mask_packstorelo_pd(x + (3 * ovs), 0x00c0, v);
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}
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#else
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static inline void STu(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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__declspec(align(64)) R temp[8];
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int i;
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_mm512_store_pd(temp, v);
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for (i = 0 ; i < 4 ; i++) {
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x[i * ovs] = temp[i*2];
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x[i * ovs + 1] = temp[i*2+1];
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}
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}
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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 (V)_mm512_shuffle_epi32((__m512i)x, _MM_PERM_BADC);
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}
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#define VDUPH(a) (V)_mm512_shuffle_epi32((__m512i)a, _MM_PERM_DCDC);
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#define VDUPL(a) (V)_mm512_shuffle_epi32((__m512i)a, _MM_PERM_BABA);
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#endif /* FFTW_SINGLE */
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#define LD LDu
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#define ST STu
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#ifdef FFTW_SINGLE
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#define STM2(x, v, ovs, a) ST(x, v, ovs, a)
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#define STN2(x, v0, v1, ovs) /* nop */
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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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__m512i index = _mm512_set_epi32(15 * ovs, 14 * ovs,
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13 * ovs, 12 * ovs,
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11 * ovs, 10 * ovs,
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9 * ovs, 8 * ovs,
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7 * ovs, 6 * ovs,
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5 * ovs, 4 * ovs,
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3 * ovs, 2 * ovs,
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1 * ovs, 0 * ovs);
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_mm512_i32scatter_ps(x, index, v, _MM_SCALE_4);
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}
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#define STN4(x, v0, v1, v2, v3, ovs) /* no-op */
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#else /* !FFTW_SINGLE */
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#if defined(KCVI_ST2_DOUBLE_USE_STN2) && KCVI_ST2_DOUBLE_USE_STN2
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#define STM2(x, v, ovs, a) /* no-op */
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static inline void STN2(R *x, V v0, V v1, INT ovs) {
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/* we start
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AB CD EF GH -> *x (2 DBL), ovs between complex
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IJ KL MN OP -> *(x+2) (2DBL), ovs between complex
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and we want
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ABIJ EFMN -> *x (4 DBL), 2 * ovs between complex pairs
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CDKL GHOP -> *(x+ovs) (4DBL), 2 * ovs between complex pairs
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*/
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V x00 = (V)_mm512_mask_permute4f128_epi32((__m512i)v0, 0xF0F0, (__m512i)v1, _MM_PERM_CDAB);
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V x01 = (V)_mm512_mask_permute4f128_epi32((__m512i)v1, 0x0F0F, (__m512i)v0, _MM_PERM_CDAB);
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_mm512_mask_packstorelo_pd(x + (0 * ovs) + 0, 0x000F, x00);
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/* _mm512_mask_packstorehi_pd(x + (0 * ovs) + 8, 0x000F, x00); */
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_mm512_mask_packstorelo_pd(x + (2 * ovs) + 0, 0x00F0, x00);
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/* _mm512_mask_packstorehi_pd(x + (2 * ovs) + 8, 0x00F0, x00); */
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_mm512_mask_packstorelo_pd(x + (1 * ovs) + 0, 0x000F, x01);
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/* _mm512_mask_packstorehi_pd(x + (1 * ovs) + 8, 0x000F, x01); */
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_mm512_mask_packstorelo_pd(x + (3 * ovs) + 0, 0x00F0, x01);
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/* _mm512_mask_packstorehi_pd(x + (3 * ovs) + 8, 0x00F0, x01); */
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}
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#else
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#define STM2(x, v, ovs, a) ST(x, v, ovs, a)
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#define STN2(x, v0, v1, ovs) /* nop */
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#endif
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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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__m512i index = _mm512_set_epi32(0, 0, 0, 0, 0, 0, 0, 0,
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7 * ovs, 6 * ovs,
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5 * ovs, 4 * ovs,
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3 * ovs, 2 * ovs,
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1 * ovs, 0 * ovs);
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_mm512_i32loscatter_pd(x, index, v, _MM_SCALE_8);
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}
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#define STN4(x, v0, v1, v2, v3, ovs) /* no-op */
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#endif /* FFTW_SINGLE */
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static inline V VFMAI(V b, V c) {
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V mpmp = VLIT(SCAL(1.0), SCAL(-1.0));
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return SUFF(_mm512_fmadd)(mpmp, SUFF(_mm512_swizzle)(b, _MM_SWIZ_REG_CDAB), c);
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}
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static inline V VFNMSI(V b, V c) {
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V mpmp = VLIT(SCAL(1.0), SCAL(-1.0));
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return SUFF(_mm512_fnmadd)(mpmp, SUFF(_mm512_swizzle)(b, _MM_SWIZ_REG_CDAB), c);
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}
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static inline V VFMACONJ(V b, V c) {
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V pmpm = VLIT(SCAL(-1.0), SCAL(1.0));
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return SUFF(_mm512_fmadd)(pmpm, b, c);
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}
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static inline V VFMSCONJ(V b, V c) {
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V pmpm = VLIT(SCAL(-1.0), SCAL(1.0));
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return SUFF(_mm512_fmsub)(pmpm, b, c);
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}
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static inline V VFNMSCONJ(V b, V c) {
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V pmpm = VLIT(SCAL(-1.0), SCAL(1.0));
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return SUFF(_mm512_fnmadd)(pmpm, b, c);
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}
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static inline V VCONJ(V x)
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{
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V pmpm = VLIT(SCAL(-0.0), SCAL(0.0));
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return (V)VXOR((__m512i)pmpm, (__m512i)x);
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}
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#ifdef FFTW_SINGLE
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#if defined(KCVI_VBYI_SINGLE_USE_MUL) && KCVI_VBYI_SINGLE_USE_MUL
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/* untested */
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static inline V VBYI(V x)
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{
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V mpmp = VLIT(SCAL(1.0), SCAL(-1.0));
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return _mm512_mul_ps(mpmp, _mm512_swizzle_ps(x, _MM_SWIZ_REG_CDAB));
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}
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#else
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static inline V VBYI(V x)
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{
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return FLIP_RI(VCONJ(x));
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}
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#endif
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#else /* !FFTW_SINGLE */
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#if defined(KCVI_VBYI_DOUBLE_USE_MUL) && KCVI_VBYI_DOUBLE_USE_MUL
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/* on KNF, using mul_pd is slower than shuf128x32 + xor */
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static inline V VBYI(V x)
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{
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V mpmp = VLIT(SCAL(1.0), SCAL(-1.0));
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return _mm512_mul_pd(mpmp, _mm512_swizzle_pd(x, _MM_SWIZ_REG_CDAB));
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}
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#else
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static inline V VBYI(V x)
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{
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return FLIP_RI(VCONJ(x));
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}
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#endif
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#endif /* FFTW_SINGLE */
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#if defined(KCVI_MULZ_USE_SWIZZLE) && KCVI_MULZ_USE_SWIZZLE
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static inline V VZMUL(V tx, V sr) /* (a,b) (c,d) */
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{
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V ac = SUFF(_mm512_mul)(tx, sr); /* (a*c,b*d) */
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V ad = SUFF(_mm512_mul)(tx, SUFF(_mm512_swizzle)(sr, _MM_SWIZ_REG_CDAB)); /* (a*d,b*c) */
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V acmbd = SUFF(_mm512_sub)(ac, SUFF(_mm512_swizzle)(ac, _MM_SWIZ_REG_CDAB)); /* (a*c-b*d, b*d-a*c) */
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V res = SUFF(_mm512_mask_add)(acmbd, DS(0x00aa,0xaaaa), ad, SUFF(_mm512_swizzle)(ad, _MM_SWIZ_REG_CDAB)); /* ([a*c+b*c] a*c-b*d, b*c+a*d) */
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return res;
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}
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static inline V VZMULJ(V tx, V sr) /* (a,b) (c,d) */
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{
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V ac = SUFF(_mm512_mul)(tx, sr); /* (a*c,b*d) */
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V ad = SUFF(_mm512_mul)(tx, SUFF(_mm512_swizzle)(sr, _MM_SWIZ_REG_CDAB)); /* (a*d,b*c) */
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V acmbd = SUFF(_mm512_add)(ac, SUFF(_mm512_swizzle)(ac, _MM_SWIZ_REG_CDAB)); /* (a*c+b*d, b*d+a*c) */
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V res = SUFF(_mm512_mask_subr)(acmbd, DS(0x00aa,0xaaaa), ad, SUFF(_mm512_swizzle)(ad, _MM_SWIZ_REG_CDAB)); /* ([a*c+b*c] a*c+b*d, a*d-b*c) */
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return res;
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}
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static inline V VZMULI(V tx, V sr) /* (a,b) (c,d) */
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{
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DVK(zero, SCAL(0.0));
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V ac = SUFF(_mm512_mul)(tx, sr); /* (a*c,b*d) */
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V ad = SUFF(_mm512_fnmadd)(tx, SUFF(_mm512_swizzle)(sr, _MM_SWIZ_REG_CDAB), zero); /* (-a*d,-b*c) */
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V acmbd = SUFF(_mm512_subr)(ac, SUFF(_mm512_swizzle)(ac, _MM_SWIZ_REG_CDAB)); /* (b*d-a*c, a*c-b*d) */
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V res = SUFF(_mm512_mask_add)(acmbd, DS(0x0055,0x5555), ad, SUFF(_mm512_swizzle)(ad, _MM_SWIZ_REG_CDAB)); /* (-a*d-b*c, a*c-b*d) */
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return res;
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}
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static inline V VZMULIJ(V tx, V sr) /* (a,b) (c,d) */
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{
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DVK(zero, SCAL(0.0));
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V ac = SUFF(_mm512_mul)(tx, sr); /* (a*c,b*d) */
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V ad = SUFF(_mm512_fnmadd)(tx, SUFF(_mm512_swizzle)(sr, _MM_SWIZ_REG_CDAB), zero); /* (-a*d,-b*c) */
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V acmbd = SUFF(_mm512_add)(ac, SUFF(_mm512_swizzle)(ac, _MM_SWIZ_REG_CDAB)); /* (b*d+a*c, a*c+b*d) */
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V res = SUFF(_mm512_mask_sub)(acmbd, DS(0x0055,0x5555), ad, SUFF(_mm512_swizzle)(ad, _MM_SWIZ_REG_CDAB)); /* (-a*d+b*c, a*c-b*d) */
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return res;
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}
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#else
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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(sr, tr);
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sr = VBYI(sr);
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return VFMA(ti, sr, tr);
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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(sr, tr);
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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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sr = VBYI(sr);
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return VFMA(tr, sr, ti);
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}
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#endif
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/* twiddle storage #1: compact, slower */
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#ifdef FFTW_SINGLE
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# define VTW1(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}, {TW_CEXP, v+2, x}, {TW_CEXP, v+3, x}, {TW_CEXP, v+4, x}, {TW_CEXP, v+5, x}, {TW_CEXP, v+6, x}, {TW_CEXP, v+7, x}
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#else /* !FFTW_SINGLE */
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# define VTW1(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}, {TW_CEXP, v+2, x}, {TW_CEXP, v+3, x}
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#endif /* FFTW_SINGLE */
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#define TWVL1 (VL)
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static inline V BYTW1(const R *t, V sr)
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{
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return VZMUL(LDA(t, 2, t), 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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return VZMULJ(LDA(t, 2, t), sr);
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}
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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_COS, v+2, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, {TW_COS, v+3, x}, \
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{TW_COS, v+4, x}, {TW_COS, v+4, x}, {TW_COS, v+5, x}, {TW_COS, v+5, x}, \
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{TW_COS, v+6, x}, {TW_COS, v+6, x}, {TW_COS, v+7, x}, {TW_COS, v+7, 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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{TW_SIN, v+2, -x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, -x}, {TW_SIN, v+3, x}, \
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{TW_SIN, v+4, -x}, {TW_SIN, v+4, x}, {TW_SIN, v+5, -x}, {TW_SIN, v+5, x}, \
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{TW_SIN, v+6, -x}, {TW_SIN, v+6, x}, {TW_SIN, v+7, -x}, {TW_SIN, v+7, 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_COS, v+1, x}, {TW_COS, v+1, x}, \
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{TW_COS, v+2, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, {TW_COS, v+3, 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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{TW_SIN, v+2, -x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, -x}, {TW_SIN, v+3, x}
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#endif /* FFTW_SINGLE */
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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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/* V tr = LD(t, 2, t), ti = LD(t + VL, 2, t + VL); */
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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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/* V tr = LD(t, 2, t), ti = LD(t + VL, 2, t + VL); */
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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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#define VTW3(v,x) VTW1(v,x)
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#define TWVL3 TWVL1
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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_COS, v+4 , x}, {TW_COS, v+5 , x}, {TW_COS, v+6 , x}, {TW_COS, v+7 , x}, \
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{TW_COS, v+8 , x}, {TW_COS, v+9 , x}, {TW_COS, v+10, x}, {TW_COS, v+11, x}, \
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{TW_COS, v+12, x}, {TW_COS, v+13, x}, {TW_COS, v+14, x}, {TW_COS, v+15, 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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{TW_SIN, v+4 , x}, {TW_SIN, v+5 , x}, {TW_SIN, v+6 , x}, {TW_SIN, v+7 , x}, \
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{TW_SIN, v+8 , x}, {TW_SIN, v+9 , x}, {TW_SIN, v+10, x}, {TW_SIN, v+11, x}, \
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{TW_SIN, v+12, x}, {TW_SIN, v+13, x}, {TW_SIN, v+14, x}, {TW_SIN, v+15, x}
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#else /* !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_COS, v+4, x}, {TW_COS, v+5, x}, {TW_COS, v+6, x}, {TW_COS, v+7, 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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{TW_SIN, v+4, x}, {TW_SIN, v+5, x}, {TW_SIN, v+6, x}, {TW_SIN, v+7, x}
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#endif /* FFTW_SINGLE */
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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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