Moved over Legendre transforms from Commander project
This commit is contained in:
Dag Sverre Seljebotn
parent
9a839b8fd3
commit
351180baf4
9 changed files with 1603 additions and 1 deletions
8
Makefile
8
Makefile
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@ -53,3 +53,11 @@ perftest: compile_all
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$(BINDIR)/sharp_testsuite test gauss 2047 -1 -1 4096 0 1 && \
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$(BINDIR)/sharp_testsuite test gauss 4095 -1 -1 8192 0 1 && \
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$(BINDIR)/sharp_testsuite test gauss 8191 -1 -1 16384 0 1
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# Jinja templates
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%.c: %.c.in
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./runjinja.py < $< > $@
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genclean:
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rm libsharp/sharp_legendre.c || exit 0
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@ -8,7 +8,7 @@ FULL_INCLUDE+= -I$(SD)
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HDR_$(PKG):=$(SD)/*.h
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LIB_$(PKG):=$(LIBDIR)/libsharp.a
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BIN:=sharp_testsuite
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LIBOBJ:=sharp_ylmgen_c.o sharp.o sharp_announce.o sharp_geomhelpers.o sharp_almhelpers.o sharp_core.o
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LIBOBJ:=sharp_ylmgen_c.o sharp.o sharp_announce.o sharp_geomhelpers.o sharp_almhelpers.o sharp_core.o sharp_legendre.o
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ALLOBJ:=$(LIBOBJ) sharp_testsuite.o
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LIBOBJ:=$(LIBOBJ:%=$(OD)/%)
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ALLOBJ:=$(ALLOBJ:%=$(OD)/%)
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@ -39,5 +39,6 @@
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#include <complex.h>
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#include "sharp_lowlevel.h"
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#include "sharp_legendre.h"
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#endif
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1305
libsharp/sharp_legendre.c
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1305
libsharp/sharp_legendre.c
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File diff suppressed because it is too large
Load diff
163
libsharp/sharp_legendre.c.in
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163
libsharp/sharp_legendre.c.in
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@ -0,0 +1,163 @@
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/*
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NOTE NOTE NOTE
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This file is edited in sharp_legendre.c.in which is then preprocessed.
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Do not make manual modifications to sharp_legendre.c.
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NOTE NOTE NOTE
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*/
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/*
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* This file is part of libsharp.
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*
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* Redistribution and use in source and binary forms, with or without
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* met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* 3. Neither the name of the copyright holder nor the names of its
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* contributors may be used to endorse or promote products derived from
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* this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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* HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/*! \file sharp_legendre.c.in
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*
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* Copyright (C) 2015 University of Oslo
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* \author Dag Sverre Seljebotn
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*/
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#include "sharp_legendre.h"
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#include "sharp_vecsupport.h"
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#include <malloc.h>
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/*{ for scalar, T in [("double", ""), ("float", "_s")] }*/
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/*{ for cs in range(1, 7) }*/
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static void legendre_transform_vec{{cs}}{{T}}({{scalar}} *recfacs, {{scalar}} *bl, ptrdiff_t lmax,
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{{scalar}} xarr[({{cs}}) * VLEN{{T}}],
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{{scalar}} out[({{cs}}) * VLEN{{T}}]) {
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/*{ for i in range(cs) }*/
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Tv{{T}} P_{{i}}, Pm1_{{i}}, Pm2_{{i}}, x{{i}}, y{{i}};
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/*{ endfor }*/
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Tv{{T}} W1, W2, b, R;
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ptrdiff_t l;
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/*{ for i in range(cs) }*/
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x{{i}} = vloadu{{T}}(xarr + {{i}} * VLEN{{T}});
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Pm1_{{i}} = vload{{T}}(1.0);
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P_{{i}} = x{{i}};
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b = vbroadcast{{T}}(bl);
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y{{i}} = vmul{{T}}(Pm1_{{i}}, b);
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/*{ endfor }*/
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b = vbroadcast{{T}}(bl + 1);
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/*{ for i in range(cs) }*/
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vfmaeq{{T}}(y{{i}}, P_{{i}}, b);
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/*{ endfor }*/
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for (l = 2; l <= lmax; ++l) {
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b = vbroadcast{{T}}(bl + l);
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R = vbroadcast{{T}}(recfacs + l);
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/*
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P = x * Pm1 + recfacs[l] * (x * Pm1 - Pm2)
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*/
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/*{ for i in range(cs) }*/
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Pm2_{{i}} = Pm1_{{i}}; Pm1_{{i}} = P_{{i}};
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W1 = vmul{{T}}(x{{i}}, Pm1_{{i}});
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W2 = W1;
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W2 = vsub{{T}}(W2, Pm2_{{i}});
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vfmaeq{{T}}(W1, W2, R);
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P_{{i}} = W1;
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vfmaeq{{T}}(y{{i}}, P_{{i}}, b);
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/*{ endfor }*/
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}
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/*{ for i in range(cs) }*/
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vstoreu{{T}}(out + {{i}} * VLEN{{T}}, y{{i}});
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/*{ endfor }*/
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}
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/*{ endfor }*/
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/*{ endfor }*/
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/*{ for scalar, T in [("double", ""), ("float", "_s")] }*/
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void sharp_legendre_transform_recfac{{T}}({{scalar}} *r, ptrdiff_t lmax) {
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/* (l - 1) / l, for l >= 2 */
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ptrdiff_t l;
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r[0] = 0;
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r[1] = 1;
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for (l = 2; l <= lmax; ++l) {
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r[l] = ({{scalar}})(l - 1) / ({{scalar}})l;
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}
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}
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/*{ endfor }*/
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/*
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Compute sum_l b_l P_l(x_i) for all i.
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*/
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/*{set cs=4}*/
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#define CS {{cs}}
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#define LEN (CS * VLEN)
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#define LEN_s (CS * VLEN_s)
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/*{ for scalar, T in [("double", ""), ("float", "_s")] }*/
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void sharp_legendre_transform{{T}}({{scalar}} *bl,
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{{scalar}} *recfac,
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ptrdiff_t lmax,
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{{scalar}} *x, {{scalar}} *out, ptrdiff_t nx) {
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{{scalar}} xchunk[LEN{{T}}], outchunk[LEN{{T}}];
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int compute_recfac;
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ptrdiff_t i, j, len;
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compute_recfac = (recfac == NULL);
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if (compute_recfac) {
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recfac = memalign(16, sizeof({{scalar}}) * (lmax + 1));
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sharp_legendre_transform_recfac{{T}}(recfac, lmax);
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}
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for (j = 0; j != LEN{{T}}; ++j) xchunk[j] = 0;
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for (i = 0; i < nx; i += LEN{{T}}) {
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len = (i + (LEN{{T}}) <= nx) ? (LEN{{T}}) : (nx - i);
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for (j = 0; j != len; ++j) xchunk[j] = x[i + j];
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switch ((len + VLEN{{T}} - 1) / VLEN{{T}}) {
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case 6: legendre_transform_vec6{{T}}(recfac, bl, lmax, xchunk, outchunk); break;
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case 5: legendre_transform_vec5{{T}}(recfac, bl, lmax, xchunk, outchunk); break;
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case 4: legendre_transform_vec4{{T}}(recfac, bl, lmax, xchunk, outchunk); break;
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case 3: legendre_transform_vec3{{T}}(recfac, bl, lmax, xchunk, outchunk); break;
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case 2: legendre_transform_vec2{{T}}(recfac, bl, lmax, xchunk, outchunk); break;
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case 1:
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case 0:
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legendre_transform_vec1{{T}}(recfac, bl, lmax, xchunk, outchunk); break;
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}
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for (j = 0; j != len; ++j) out[i + j] = outchunk[j];
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}
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if (compute_recfac) {
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free(recfac);
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}
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}
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/*{ endfor }*/
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62
libsharp/sharp_legendre.h
Normal file
62
libsharp/sharp_legendre.h
Normal file
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@ -0,0 +1,62 @@
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/*
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* This file is part of libsharp.
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*
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* Redistribution and use in source and binary forms, with or without
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* met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* 3. Neither the name of the copyright holder nor the names of its
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* contributors may be used to endorse or promote products derived from
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* this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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* HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/*! \file sharp_legendre.h
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* Interface for the Legendre transform parts of the spherical transform library.
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*
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* Copyright (C) 2015 University of Oslo
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* \author Dag Sverre Seljebotn
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*/
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#ifndef SHARP_LEGENDRE_H
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#define SHARP_LEGENDRE_H
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#include <stddef.h>
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#ifdef __cplusplus
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extern "C" {
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#endif
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#ifndef NO_LEGENDRE
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void sharp_legendre_transform(double *bl, double *recfac, ptrdiff_t lmax, double *x,
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double *out, ptrdiff_t nx);
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void sharp_legendre_transform_s(float *bl, float *recfac, ptrdiff_t lmax, float *x,
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float *out, ptrdiff_t nx);
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void sharp_legendre_transform_recfac(double *r, ptrdiff_t lmax);
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void sharp_legendre_transform_recfac_s(float *r, ptrdiff_t lmax);
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#endif
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#ifdef __cplusplus
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}
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#endif
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#endif
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@ -40,23 +40,31 @@ typedef double Ts;
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#if (VLEN==1)
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typedef double Tv;
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typedef float Tv_s;
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typedef int Tm;
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#define vadd(a,b) ((a)+(b))
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#define vadd_s(a,b) ((a)+(b))
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#define vaddeq(a,b) ((a)+=(b))
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#define vaddeq_mask(mask,a,b) if (mask) (a)+=(b);
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#define vsub(a,b) ((a)-(b))
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#define vsub_s(a,b) ((a)-(b))
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#define vsubeq(a,b) ((a)-=(b))
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#define vsubeq_mask(mask,a,b) if (mask) (a)-=(b);
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#define vmul(a,b) ((a)*(b))
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#define vmul_s(a,b) ((a)*(b))
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#define vmuleq(a,b) ((a)*=(b))
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#define vmuleq_mask(mask,a,b) if (mask) (a)*=(b);
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#define vfmaeq(a,b,c) ((a)+=(b)*(c))
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#define vfmaeq_s(a,b,c) ((a)+=(b)*(c))
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#define vfmseq(a,b,c) ((a)-=(b)*(c))
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#define vfmaaeq(a,b,c,d,e) ((a)+=(b)*(c)+(d)*(e))
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#define vfmaseq(a,b,c,d,e) ((a)+=(b)*(c)-(d)*(e))
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#define vneg(a) (-(a))
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#define vload(a) (a)
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#define vload_s(a) (a)
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#define vloadu(p) (*p)
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#define vloadu_s(p) (*p)
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#define vabs(a) fabs(a)
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#define vsqrt(a) sqrt(a)
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#define vlt(a,b) ((a)<(b))
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@ -64,6 +72,10 @@ typedef int Tm;
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#define vge(a,b) ((a)>=(b))
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#define vne(a,b) ((a)!=(b))
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#define vand_mask(a,b) ((a)&&(b))
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#define vbroadcast(p) (*p)
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#define vbroadcast_s(p) (*p)
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#define vstoreu(p, a) (*(p)=a)
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#define vstoreu_s(p, a) (*(p)=a)
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static inline Tv vmin (Tv a, Tv b) { return (a<b) ? a : b; }
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static inline Tv vmax (Tv a, Tv b) { return (a>b) ? a : b; }
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@ -87,6 +99,7 @@ static inline Tv vmax (Tv a, Tv b) { return (a>b) ? a : b; }
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#endif
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typedef __m128d Tv;
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typedef __m128 Tv_s;
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typedef __m128d Tm;
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#if defined(__SSE4_1__)
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@ -99,15 +112,19 @@ static inline Tv vblend__(Tv m, Tv a, Tv b)
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#define vone _mm_set1_pd(1.)
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#define vadd(a,b) _mm_add_pd(a,b)
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#define vadd_s(a,b) _mm_add_ps(a,b)
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#define vaddeq(a,b) a=_mm_add_pd(a,b)
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#define vaddeq_mask(mask,a,b) a=_mm_add_pd(a,vblend__(mask,b,vzero))
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#define vsub(a,b) _mm_sub_pd(a,b)
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#define vsub_s(a,b) _mm_sub_ps(a,b)
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#define vsubeq(a,b) a=_mm_sub_pd(a,b)
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#define vsubeq_mask(mask,a,b) a=_mm_sub_pd(a,vblend__(mask,b,vzero))
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#define vmul(a,b) _mm_mul_pd(a,b)
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#define vmul_s(a,b) _mm_mul_ps(a,b)
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#define vmuleq(a,b) a=_mm_mul_pd(a,b)
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#define vmuleq_mask(mask,a,b) a=_mm_mul_pd(a,vblend__(mask,b,vone))
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#define vfmaeq(a,b,c) a=_mm_add_pd(a,_mm_mul_pd(b,c))
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#define vfmaeq_s(a,b,c) a=_mm_add_ps(a,_mm_mul_ps(b,c))
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#define vfmseq(a,b,c) a=_mm_sub_pd(a,_mm_mul_pd(b,c))
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#define vfmaaeq(a,b,c,d,e) \
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a=_mm_add_pd(a,_mm_add_pd(_mm_mul_pd(b,c),_mm_mul_pd(d,e)))
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@ -115,6 +132,7 @@ static inline Tv vblend__(Tv m, Tv a, Tv b)
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a=_mm_add_pd(a,_mm_sub_pd(_mm_mul_pd(b,c),_mm_mul_pd(d,e)))
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#define vneg(a) _mm_xor_pd(_mm_set1_pd(-0.),a)
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#define vload(a) _mm_set1_pd(a)
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#define vload_s(a) _mm_set1_ps(a)
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#define vabs(a) _mm_andnot_pd(_mm_set1_pd(-0.),a)
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#define vsqrt(a) _mm_sqrt_pd(a)
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#define vlt(a,b) _mm_cmplt_pd(a,b)
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@ -126,6 +144,12 @@ static inline Tv vblend__(Tv m, Tv a, Tv b)
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#define vmax(a,b) _mm_max_pd(a,b);
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#define vanyTrue(a) (_mm_movemask_pd(a)!=0)
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#define vallTrue(a) (_mm_movemask_pd(a)==3)
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#define vloadu(p) _mm_loadu_pd(p)
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#define vloadu_s(p) _mm_loadu_ps(p)
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#define vstoreu(p, v) _mm_storeu_pd(p, v)
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#define vstoreu_s(p, v) _mm_storeu_ps(p, v)
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#define vbroadcast(p) _mm_set_pd(*p, *p)
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#define vbroadcast_s(p) _mm_set_ps(*p, *p, *p, *p)
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#endif
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@ -137,6 +161,7 @@ static inline Tv vblend__(Tv m, Tv a, Tv b)
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#endif
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typedef __m256d Tv;
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typedef __m256 Tv_s;
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typedef __m256d Tm;
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#define vblend__(m,a,b) _mm256_blendv_pd(b,a,m)
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@ -144,16 +169,20 @@ typedef __m256d Tm;
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#define vone _mm256_set1_pd(1.)
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#define vadd(a,b) _mm256_add_pd(a,b)
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#define vadd_s(a,b) _mm256_add_ps(a,b)
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#define vaddeq(a,b) a=_mm256_add_pd(a,b)
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#define vaddeq_mask(mask,a,b) a=_mm256_add_pd(a,vblend__(mask,b,vzero))
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#define vsub(a,b) _mm256_sub_pd(a,b)
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#define vsub_s(a,b) _mm256_sub_ps(a,b)
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#define vsubeq(a,b) a=_mm256_sub_pd(a,b)
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#define vsubeq_mask(mask,a,b) a=_mm256_sub_pd(a,vblend__(mask,b,vzero))
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#define vmul(a,b) _mm256_mul_pd(a,b)
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#define vmul_s(a,b) _mm256_mul_ps(a,b)
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#define vmuleq(a,b) a=_mm256_mul_pd(a,b)
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#define vmuleq_mask(mask,a,b) a=_mm256_mul_pd(a,vblend__(mask,b,vone))
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#ifdef __FMA4__
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#define vfmaeq(a,b,c) a=_mm256_macc_pd(b,c,a)
|
||||
#define vfmaeq_s(a,b,c) a=_mm256_macc_ps(b,c,a)
|
||||
#define vfmseq(a,b,c) a=_mm256_nmacc_pd(b,c,a)
|
||||
#define vfmaaeq(a,b,c,d,e) a=_mm256_macc_pd(d,e,_mm256_macc_pd(b,c,a))
|
||||
#define vfmaseq(a,b,c,d,e) a=_mm256_nmacc_pd(d,e,_mm256_macc_pd(b,c,a))
|
||||
|
|
@ -167,6 +196,7 @@ typedef __m256d Tm;
|
|||
#endif
|
||||
#define vneg(a) _mm256_xor_pd(_mm256_set1_pd(-0.),a)
|
||||
#define vload(a) _mm256_set1_pd(a)
|
||||
#define vload_s(a) _mm256_set1_ps(a)
|
||||
#define vabs(a) _mm256_andnot_pd(_mm256_set1_pd(-0.),a)
|
||||
#define vsqrt(a) _mm256_sqrt_pd(a)
|
||||
#define vlt(a,b) _mm256_cmp_pd(a,b,_CMP_LT_OQ)
|
||||
|
|
@ -179,6 +209,13 @@ typedef __m256d Tm;
|
|||
#define vanyTrue(a) (_mm256_movemask_pd(a)!=0)
|
||||
#define vallTrue(a) (_mm256_movemask_pd(a)==15)
|
||||
|
||||
#define vloadu(p) _mm256_loadu_pd(p)
|
||||
#define vloadu_s(p) _mm256_loadu_ps(p)
|
||||
#define vstoreu(p, v) _mm256_storeu_pd(p, v)
|
||||
#define vstoreu_s(p, v) _mm256_storeu_ps(p, v)
|
||||
#define vbroadcast(p) _mm256_broadcast_sd(p)
|
||||
#define vbroadcast_s(p) _mm256_broadcast_ss(p)
|
||||
|
||||
#endif
|
||||
|
||||
#if (VLEN==8)
|
||||
|
|
|
|||
|
|
@ -32,6 +32,8 @@
|
|||
#ifndef SHARP_VECUTIL_H
|
||||
#define SHARP_VECUTIL_H
|
||||
|
||||
#ifndef VLEN
|
||||
|
||||
#if (defined (__MIC__))
|
||||
#define VLEN 8
|
||||
#elif (defined (__AVX__))
|
||||
|
|
@ -43,3 +45,11 @@
|
|||
#endif
|
||||
|
||||
#endif
|
||||
|
||||
#if (VLEN==1)
|
||||
#define VLEN_s 1
|
||||
#else
|
||||
#define VLEN_s (2*VLEN)
|
||||
#endif
|
||||
|
||||
#endif
|
||||
|
|
|
|||
16
runjinja.py
Executable file
16
runjinja.py
Executable file
|
|
@ -0,0 +1,16 @@
|
|||
#!/usr/bin/env python
|
||||
|
||||
"""
|
||||
Preprocesses foo.c.in to foo.c. Reads STDIN and writes STDOUT.
|
||||
"""
|
||||
|
||||
import sys
|
||||
from jinja2 import Template, Environment
|
||||
|
||||
env = Environment(block_start_string='/*{',
|
||||
block_end_string='}*/',
|
||||
variable_start_string='{{',
|
||||
variable_end_string='}}')
|
||||
|
||||
extra_vars = dict(len=len)
|
||||
sys.stdout.write(env.from_string(sys.stdin.read()).render(**extra_vars))
|
||||
Loading…
Add table
Add a link
Reference in a new issue