300 lines
8.2 KiB
C
300 lines
8.2 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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* VSX SIMD implementation added 2015 Erik Lindahl.
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* Erik Lindahl 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 "VSX 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 _vsx /* 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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#include <altivec.h>
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#include <stdio.h>
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typedef DS(vector double,vector float) V;
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#define VADD(a,b) vec_add(a,b)
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#define VSUB(a,b) vec_sub(a,b)
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#define VMUL(a,b) vec_mul(a,b)
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#define VXOR(a,b) vec_xor(a,b)
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#define UNPCKL(a,b) vec_mergel(a,b)
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#define UNPCKH(a,b) vec_mergeh(a,b)
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#ifdef FFTW_SINGLE
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# define VDUPL(a) ({ const vector unsigned char perm = {0,1,2,3,0,1,2,3,8,9,10,11,8,9,10,11}; vec_perm(a,a,perm); })
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# define VDUPH(a) ({ const vector unsigned char perm = {4,5,6,7,4,5,6,7,12,13,14,15,12,13,14,15}; vec_perm(a,a,perm); })
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#else
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# define VDUPL(a) ({ const vector unsigned char perm = {0,1,2,3,4,5,6,7,0,1,2,3,4,5,6,7}; vec_perm(a,a,perm); })
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# define VDUPH(a) ({ const vector unsigned char perm = {8,9,10,11,12,13,14,15,8,9,10,11,12,13,14,15}; vec_perm(a,a,perm); })
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#endif
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static inline V LDK(R f) { return vec_splats(f); }
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#define DVK(var, val) const R var = K(val)
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static inline V VCONJ(V x)
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{
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const V pmpm = vec_mergel(vec_splats((R)0.0),-(vec_splats((R)0.0)));
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return vec_xor(x, pmpm);
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}
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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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#ifdef __ibmxl__
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return vec_xl(0,(DS(double,float) *)x);
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#else
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return (*(const V *)(x));
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#endif
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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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#ifdef __ibmxl__
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vec_xst(v,0,x);
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#else
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*(V *)x = v;
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#endif
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}
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static inline V FLIP_RI(V x)
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{
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#ifdef FFTW_SINGLE
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const vector unsigned char perm = { 4,5,6,7,0,1,2,3,12,13,14,15,8,9,10,11 };
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#else
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const vector unsigned char perm = { 8,9,10,11,12,13,14,15,0,1,2,3,4,5,6,7 };
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#endif
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return vec_perm(x,x,perm);
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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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const vector unsigned char perm = {0,1,2,3,4,5,6,7,16,17,18,19,20,21,22,23};
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return vec_perm((vector float)vec_splats(*(double *)(x)),
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(vector float)vec_splats(*(double *)(x+ivs)),perm);
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}
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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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*(double *)(x+ovs) = vec_extract( (vector double)v, 1 );
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*(double *)x = vec_extract( (vector double)v, 0 );
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}
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#else
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/* DOUBLE */
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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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static inline void STN4(R *x, V v0, V v1, V v2, V v3, int ovs)
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{
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V xxx0, xxx1, xxx2, xxx3;
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xxx0 = vec_mergeh(v0,v1);
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xxx1 = vec_mergel(v0,v1);
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xxx2 = vec_mergeh(v2,v3);
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xxx3 = vec_mergel(v2,v3);
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*(double *)x = vec_extract( (vector double)xxx0, 0 );
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*(double *)(x+ovs) = vec_extract( (vector double)xxx0, 1 );
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*(double *)(x+2*ovs) = vec_extract( (vector double)xxx1, 0 );
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*(double *)(x+3*ovs) = vec_extract( (vector double)xxx1, 1 );
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*(double *)(x+2) = vec_extract( (vector double)xxx2, 0 );
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*(double *)(x+ovs+2) = vec_extract( (vector double)xxx2, 1 );
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*(double *)(x+2*ovs+2) = vec_extract( (vector double)xxx3, 0 );
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*(double *)(x+3*ovs+2) = vec_extract( (vector double)xxx3, 1 );
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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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x[0] = vec_extract(v,0);
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x[ovs] = vec_extract(v,1);
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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 VBYI(V x)
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{
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/* FIXME [matteof 2017-09-21] It is possible to use vpermxor(),
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but gcc and xlc treat the permutation bits differently, and
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gcc-6 seems to generate incorrect code when using
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__builtin_crypto_vpermxor() (i.e., VBYI() works for a small
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test case but fails in the large).
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Punt on vpermxor() for now and do the simple thing.
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*/
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return FLIP_RI(VCONJ(x));
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}
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/* FMA support */
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#define VFMA(a, b, c) vec_madd(a,b,c)
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#define VFNMS(a, b, c) vec_nmsub(a,b,c)
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#define VFMS(a, b, c) vec_msub(a,b,c)
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#define VFMAI(b, c) VADD(c, VBYI(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) VSUB(c, VCONJ(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(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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/* 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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V tx = LDA(t,0,t);
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V tr = UNPCKH(tx, tx);
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V ti = UNPCKL(tx, tx);
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tr = VMUL(tr, sr);
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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 BYTWJ1(const R *t, V sr)
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{
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V tx = LDA(t,0,t);
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V tr = UNPCKH(tx, tx);
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V ti = UNPCKL(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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V si = FLIP_RI(sr);
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V ti = LDA(t+2*VL,0,t);
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V tt = VMUL(ti, si);
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V tr = LDA(t,0,t);
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return VFMA(tr, sr, tt);
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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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V si = FLIP_RI(sr);
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V tr = LDA(t,0,t);
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V tt = VMUL(tr, sr);
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V ti = LDA(t+2*VL,0,t);
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return VFNMS(ti, si, tt);
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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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