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einsum.c.src.chg2
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/*
* This file contains the implementation of the 'einsum' function,
* which provides an einstein-summation operation.
*
* Copyright (c) 2011 by Mark Wiebe (mwwiebe@gmail.com)
* The Univerity of British Columbia
*
* See LICENSE.txt for the license.
*/
#define PY_SSIZE_T_CLEAN
#include "Python.h"
#include "structmember.h"
#define NPY_NO_DEPRECATED_API NPY_API_VERSION
#define _MULTIARRAYMODULE
#include <numpy/npy_common.h>
#include <numpy/arrayobject.h>
#include <numpy/halffloat.h>
#include <npy_pycompat.h>
#include <ctype.h>
#include "convert.h"
#ifdef NPY_HAVE_SSE_INTRINSICS
#define EINSUM_USE_SSE1 1
#else
#define EINSUM_USE_SSE1 0
#endif
/*
* TODO: Only some SSE2 for float64 is implemented.
*/
#ifdef NPY_HAVE_SSE2_INTRINSICS
#define EINSUM_USE_SSE2 1
#else
#define EINSUM_USE_SSE2 0
#endif
#if EINSUM_USE_SSE1
#include <xmmintrin.h>
#endif
#if EINSUM_USE_SSE2
#include <emmintrin.h>
#endif
#define EINSUM_IS_SSE_ALIGNED(x) ((((npy_intp)x)&0xf) == 0)
/********** PRINTF DEBUG TRACING **************/
#define NPY_EINSUM_DBG_TRACING 0
#if NPY_EINSUM_DBG_TRACING
#define NPY_EINSUM_DBG_PRINT(s) printf("%s", s);
#define NPY_EINSUM_DBG_PRINT1(s, p1) printf(s, p1);
#define NPY_EINSUM_DBG_PRINT2(s, p1, p2) printf(s, p1, p2);
#define NPY_EINSUM_DBG_PRINT3(s, p1, p2, p3) printf(s);
#else
#define NPY_EINSUM_DBG_PRINT(s)
#define NPY_EINSUM_DBG_PRINT1(s, p1)
#define NPY_EINSUM_DBG_PRINT2(s, p1, p2)
#define NPY_EINSUM_DBG_PRINT3(s, p1, p2, p3)
#endif
/**********************************************/
typedef enum {
BROADCAST_NONE,
BROADCAST_LEFT,
BROADCAST_RIGHT,
BROADCAST_MIDDLE
} EINSUM_BROADCAST;
/**begin repeat
* #name = byte, short, int, long, longlong,
* ubyte, ushort, uint, ulong, ulonglong,
* half, float, double, longdouble,
* cfloat, cdouble, clongdouble#
* #type = npy_byte, npy_short, npy_int, npy_long, npy_longlong,
* npy_ubyte, npy_ushort, npy_uint, npy_ulong, npy_ulonglong,
* npy_half, npy_float, npy_double, npy_longdouble,
* npy_cfloat, npy_cdouble, npy_clongdouble#
* #temptype = npy_byte, npy_short, npy_int, npy_long, npy_longlong,
* npy_ubyte, npy_ushort, npy_uint, npy_ulong, npy_ulonglong,
* npy_float, npy_float, npy_double, npy_longdouble,
* npy_float, npy_double, npy_longdouble#
* #to = ,,,,,
* ,,,,,
* npy_float_to_half,,,,
* ,,#
* #from = ,,,,,
* ,,,,,
* npy_half_to_float,,,,
* ,,#
* #complex = 0*5,
* 0*5,
* 0*4,
* 1*3#
* #float32 = 0*5,
* 0*5,
* 0,1,0,0,
* 0*3#
* #float64 = 0*5,
* 0*5,
* 0,0,1,0,
* 0*3#
*/
/**begin repeat1
* #nop = 1, 2, 3, 1000#
* #noplabel = one, two, three, any#
*/
static void
@name@_sum_of_products_@noplabel@(int nop, char **dataptr,
npy_intp *strides, npy_intp count)
{
#if (@nop@ == 1) || (@nop@ <= 3 && !@complex@)
char *data0 = dataptr[0];
npy_intp stride0 = strides[0];
#endif
#if (@nop@ == 2 || @nop@ == 3) && !@complex@
char *data1 = dataptr[1];
npy_intp stride1 = strides[1];
#endif
#if (@nop@ == 3) && !@complex@
char *data2 = dataptr[2];
npy_intp stride2 = strides[2];
#endif
#if (@nop@ == 1) || (@nop@ <= 3 && !@complex@)
char *data_out = dataptr[@nop@];
npy_intp stride_out = strides[@nop@];
#endif
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_@noplabel@ (%d)\n", (int)count);
while (count--) {
#if !@complex@
# if @nop@ == 1
*(@type@ *)data_out = @to@(@from@(*(@type@ *)data0) +
@from@(*(@type@ *)data_out));
data0 += stride0;
data_out += stride_out;
# elif @nop@ == 2
*(@type@ *)data_out = @to@(@from@(*(@type@ *)data0) *
@from@(*(@type@ *)data1) +
@from@(*(@type@ *)data_out));
data0 += stride0;
data1 += stride1;
data_out += stride_out;
# elif @nop@ == 3
*(@type@ *)data_out = @to@(@from@(*(@type@ *)data0) *
@from@(*(@type@ *)data1) *
@from@(*(@type@ *)data2) +
@from@(*(@type@ *)data_out));
data0 += stride0;
data1 += stride1;
data2 += stride2;
data_out += stride_out;
# else
@temptype@ temp = @from@(*(@type@ *)dataptr[0]);
int i;
for (i = 1; i < nop; ++i) {
temp *= @from@(*(@type@ *)dataptr[i]);
}
*(@type@ *)dataptr[nop] = @to@(temp +
@from@(*(@type@ *)dataptr[i]));
for (i = 0; i <= nop; ++i) {
dataptr[i] += strides[i];
}
# endif
#else /* complex */
# if @nop@ == 1
((@temptype@ *)data_out)[0] = ((@temptype@ *)data0)[0] +
((@temptype@ *)data_out)[0];
((@temptype@ *)data_out)[1] = ((@temptype@ *)data0)[1] +
((@temptype@ *)data_out)[1];
data0 += stride0;
data_out += stride_out;
# else
# if @nop@ <= 3
#define _SUMPROD_NOP @nop@
# else
#define _SUMPROD_NOP nop
# endif
@temptype@ re, im, tmp;
int i;
re = ((@temptype@ *)dataptr[0])[0];
im = ((@temptype@ *)dataptr[0])[1];
for (i = 1; i < _SUMPROD_NOP; ++i) {
tmp = re * ((@temptype@ *)dataptr[i])[0] -
im * ((@temptype@ *)dataptr[i])[1];
im = re * ((@temptype@ *)dataptr[i])[1] +
im * ((@temptype@ *)dataptr[i])[0];
re = tmp;
}
((@temptype@ *)dataptr[_SUMPROD_NOP])[0] = re +
((@temptype@ *)dataptr[_SUMPROD_NOP])[0];
((@temptype@ *)dataptr[_SUMPROD_NOP])[1] = im +
((@temptype@ *)dataptr[_SUMPROD_NOP])[1];
for (i = 0; i <= _SUMPROD_NOP; ++i) {
dataptr[i] += strides[i];
}
#undef _SUMPROD_NOP
# endif
#endif
}
}
#if @nop@ == 1
static void
@name@_sum_of_products_contig_one(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@type@ *data0 = (@type@ *)dataptr[0];
@type@ *data_out = (@type@ *)dataptr[1];
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_contig_one (%d)\n",
(int)count);
/* This is placed before the main loop to make small counts faster */
finish_after_unrolled_loop:
switch (count) {
/**begin repeat2
* #i = 6, 5, 4, 3, 2, 1, 0#
*/
case @i@+1:
#if !@complex@
data_out[@i@] = @to@(@from@(data0[@i@]) +
@from@(data_out[@i@]));
#else
((@temptype@ *)data_out + 2*@i@)[0] =
((@temptype@ *)data0 + 2*@i@)[0] +
((@temptype@ *)data_out + 2*@i@)[0];
((@temptype@ *)data_out + 2*@i@)[1] =
((@temptype@ *)data0 + 2*@i@)[1] +
((@temptype@ *)data_out + 2*@i@)[1];
#endif
/**end repeat2**/
case 0:
return;
}
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
#if !@complex@
data_out[@i@] = @to@(@from@(data0[@i@]) +
@from@(data_out[@i@]));
#else /* complex */
((@temptype@ *)data_out + 2*@i@)[0] =
((@temptype@ *)data0 + 2*@i@)[0] +
((@temptype@ *)data_out + 2*@i@)[0];
((@temptype@ *)data_out + 2*@i@)[1] =
((@temptype@ *)data0 + 2*@i@)[1] +
((@temptype@ *)data_out + 2*@i@)[1];
#endif
/**end repeat2**/
data0 += 8;
data_out += 8;
}
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#elif @nop@ == 2 && !@complex@
static void
@name@_sum_of_products_contig_two(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@type@ *data0 = (@type@ *)dataptr[0];
@type@ *data1 = (@type@ *)dataptr[1];
@type@ *data_out = (@type@ *)dataptr[2];
#if EINSUM_USE_SSE1 && @float32@
__m128 a, b;
#endif
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_contig_two (%d)\n",
(int)count);
/* This is placed before the main loop to make small counts faster */
finish_after_unrolled_loop:
switch (count) {
/**begin repeat2
* #i = 6, 5, 4, 3, 2, 1, 0#
*/
case @i@+1:
data_out[@i@] = @to@(@from@(data0[@i@]) *
@from@(data1[@i@]) +
@from@(data_out[@i@]));
/**end repeat2**/
case 0:
return;
}
#if EINSUM_USE_SSE1 && @float32@
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data0) && EINSUM_IS_SSE_ALIGNED(data1) &&
EINSUM_IS_SSE_ALIGNED(data_out)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 4#
*/
a = _mm_mul_ps(_mm_load_ps(data0+@i@), _mm_load_ps(data1+@i@));
b = _mm_add_ps(a, _mm_load_ps(data_out+@i@));
_mm_store_ps(data_out+@i@, b);
/**end repeat2**/
data0 += 8;
data1 += 8;
data_out += 8;
}
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#endif
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
#if EINSUM_USE_SSE1 && @float32@
/**begin repeat2
* #i = 0, 4#
*/
a = _mm_mul_ps(_mm_loadu_ps(data0+@i@), _mm_loadu_ps(data1+@i@));
b = _mm_add_ps(a, _mm_loadu_ps(data_out+@i@));
_mm_storeu_ps(data_out+@i@, b);
/**end repeat2**/
#else
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
data_out[@i@] = @to@(@from@(data0[@i@]) *
@from@(data1[@i@]) +
@from@(data_out[@i@]));
/**end repeat2**/
#endif
data0 += 8;
data1 += 8;
data_out += 8;
}
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
/* Some extra specializations for the two operand case */
static void
@name@_sum_of_products_stride0_contig_outcontig_two(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@temptype@ value0 = @from@(*(@type@ *)dataptr[0]);
@type@ *data1 = (@type@ *)dataptr[1];
@type@ *data_out = (@type@ *)dataptr[2];
#if EINSUM_USE_SSE1 && @float32@
__m128 a, b, value0_sse;
#elif EINSUM_USE_SSE2 && @float64@
__m128d a, b, value0_sse;
#endif
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_stride0_contig_outcontig_two (%d)\n",
(int)count);
/* This is placed before the main loop to make small counts faster */
finish_after_unrolled_loop:
switch (count) {
/**begin repeat2
* #i = 6, 5, 4, 3, 2, 1, 0#
*/
case @i@+1:
data_out[@i@] = @to@(value0 *
@from@(data1[@i@]) +
@from@(data_out[@i@]));
/**end repeat2**/
case 0:
return;
}
#if EINSUM_USE_SSE1 && @float32@
value0_sse = _mm_set_ps1(value0);
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data1) && EINSUM_IS_SSE_ALIGNED(data_out)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 4#
*/
a = _mm_mul_ps(value0_sse, _mm_load_ps(data1+@i@));
b = _mm_add_ps(a, _mm_load_ps(data_out+@i@));
_mm_store_ps(data_out+@i@, b);
/**end repeat2**/
data1 += 8;
data_out += 8;
}
/* Finish off the loop */
if (count > 0) {
goto finish_after_unrolled_loop;
}
else {
return;
}
}
#elif EINSUM_USE_SSE2 && @float64@
value0_sse = _mm_set1_pd(value0);
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data1) && EINSUM_IS_SSE_ALIGNED(data_out)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 2, 4, 6#
*/
a = _mm_mul_pd(value0_sse, _mm_load_pd(data1+@i@));
b = _mm_add_pd(a, _mm_load_pd(data_out+@i@));
_mm_store_pd(data_out+@i@, b);
/**end repeat2**/
data1 += 8;
data_out += 8;
}
/* Finish off the loop */
if (count > 0) {
goto finish_after_unrolled_loop;
}
else {
return;
}
}
#endif
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
#if EINSUM_USE_SSE1 && @float32@
/**begin repeat2
* #i = 0, 4#
*/
a = _mm_mul_ps(value0_sse, _mm_loadu_ps(data1+@i@));
b = _mm_add_ps(a, _mm_loadu_ps(data_out+@i@));
_mm_storeu_ps(data_out+@i@, b);
/**end repeat2**/
#elif EINSUM_USE_SSE2 && @float64@
/**begin repeat2
* #i = 0, 2, 4, 6#
*/
a = _mm_mul_pd(value0_sse, _mm_loadu_pd(data1+@i@));
b = _mm_add_pd(a, _mm_loadu_pd(data_out+@i@));
_mm_storeu_pd(data_out+@i@, b);
/**end repeat2**/
#else
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
data_out[@i@] = @to@(value0 *
@from@(data1[@i@]) +
@from@(data_out[@i@]));
/**end repeat2**/
#endif
data1 += 8;
data_out += 8;
}
/* Finish off the loop */
if (count > 0) {
goto finish_after_unrolled_loop;
}
}
static void
@name@_sum_of_products_contig_stride0_outcontig_two(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@type@ *data0 = (@type@ *)dataptr[0];
@temptype@ value1 = @from@(*(@type@ *)dataptr[1]);
@type@ *data_out = (@type@ *)dataptr[2];
#if EINSUM_USE_SSE1 && @float32@
__m128 a, b, value1_sse;
#endif
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_contig_stride0_outcontig_two (%d)\n",
(int)count);
/* This is placed before the main loop to make small counts faster */
finish_after_unrolled_loop:
switch (count) {
/**begin repeat2
* #i = 6, 5, 4, 3, 2, 1, 0#
*/
case @i@+1:
data_out[@i@] = @to@(@from@(data0[@i@])*
value1 +
@from@(data_out[@i@]));
/**end repeat2**/
case 0:
return;
}
#if EINSUM_USE_SSE1 && @float32@
value1_sse = _mm_set_ps1(value1);
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data0) && EINSUM_IS_SSE_ALIGNED(data_out)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 4#
*/
a = _mm_mul_ps(_mm_load_ps(data0+@i@), value1_sse);
b = _mm_add_ps(a, _mm_load_ps(data_out+@i@));
_mm_store_ps(data_out+@i@, b);
/**end repeat2**/
data0 += 8;
data_out += 8;
}
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#endif
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
#if EINSUM_USE_SSE1 && @float32@
/**begin repeat2
* #i = 0, 4#
*/
a = _mm_mul_ps(_mm_loadu_ps(data0+@i@), value1_sse);
b = _mm_add_ps(a, _mm_loadu_ps(data_out+@i@));
_mm_storeu_ps(data_out+@i@, b);
/**end repeat2**/
#else
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
data_out[@i@] = @to@(@from@(data0[@i@])*
value1 +
@from@(data_out[@i@]));
/**end repeat2**/
#endif
data0 += 8;
data_out += 8;
}
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
static void
@name@_sum_of_products_contig_contig_outstride0_two(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@type@ *data0 = (@type@ *)dataptr[0];
@type@ *data1 = (@type@ *)dataptr[1];
@temptype@ accum = 0;
#if EINSUM_USE_SSE1 && @float32@
__m128 a, accum_sse = _mm_setzero_ps();
#elif EINSUM_USE_SSE2 && @float64@
__m128d a, accum_sse = _mm_setzero_pd();
#endif
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_contig_contig_outstride0_two (%d)\n",
(int)count);
/* This is placed before the main loop to make small counts faster */
finish_after_unrolled_loop:
switch (count) {
/**begin repeat2
* #i = 6, 5, 4, 3, 2, 1, 0#
*/
case @i@+1:
accum += @from@(data0[@i@]) * @from@(data1[@i@]);
/**end repeat2**/
case 0:
*(@type@ *)dataptr[2] += @to@(accum);
return;
}
#if EINSUM_USE_SSE1 && @float32@
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data0) && EINSUM_IS_SSE_ALIGNED(data1)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
_mm_prefetch(data0 + 512, _MM_HINT_T0);
_mm_prefetch(data1 + 512, _MM_HINT_T0);
/**begin repeat2
* #i = 0, 4#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
a = _mm_mul_ps(_mm_load_ps(data0+@i@), _mm_load_ps(data1+@i@));
accum_sse = _mm_add_ps(accum_sse, a);
/**end repeat2**/
data0 += 8;
data1 += 8;
}
/* Add the four SSE values and put in accum */
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(2,3,0,1));
accum_sse = _mm_add_ps(a, accum_sse);
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(1,0,3,2));
accum_sse = _mm_add_ps(a, accum_sse);
_mm_store_ss(&accum, accum_sse);
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#elif EINSUM_USE_SSE2 && @float64@
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data0) && EINSUM_IS_SSE_ALIGNED(data1)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
_mm_prefetch(data0 + 512, _MM_HINT_T0);
_mm_prefetch(data1 + 512, _MM_HINT_T0);
/**begin repeat2
* #i = 0, 2, 4, 6#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
a = _mm_mul_pd(_mm_load_pd(data0+@i@), _mm_load_pd(data1+@i@));
accum_sse = _mm_add_pd(accum_sse, a);
/**end repeat2**/
data0 += 8;
data1 += 8;
}
/* Add the two SSE2 values and put in accum */
a = _mm_shuffle_pd(accum_sse, accum_sse, _MM_SHUFFLE2(0,1));
accum_sse = _mm_add_pd(a, accum_sse);
_mm_store_sd(&accum, accum_sse);
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#endif
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
#if EINSUM_USE_SSE1 && @float32@
_mm_prefetch(data0 + 512, _MM_HINT_T0);
_mm_prefetch(data1 + 512, _MM_HINT_T0);
/**begin repeat2
* #i = 0, 4#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
a = _mm_mul_ps(_mm_loadu_ps(data0+@i@), _mm_loadu_ps(data1+@i@));
accum_sse = _mm_add_ps(accum_sse, a);
/**end repeat2**/
#elif EINSUM_USE_SSE2 && @float64@
_mm_prefetch(data0 + 512, _MM_HINT_T0);
_mm_prefetch(data1 + 512, _MM_HINT_T0);
/**begin repeat2
* #i = 0, 2, 4, 6#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
a = _mm_mul_pd(_mm_loadu_pd(data0+@i@), _mm_loadu_pd(data1+@i@));
accum_sse = _mm_add_pd(accum_sse, a);
/**end repeat2**/
#else
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
accum += @from@(data0[@i@]) * @from@(data1[@i@]);
/**end repeat2**/
#endif
data0 += 8;
data1 += 8;
}
#if EINSUM_USE_SSE1 && @float32@
/* Add the four SSE values and put in accum */
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(2,3,0,1));
accum_sse = _mm_add_ps(a, accum_sse);
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(1,0,3,2));
accum_sse = _mm_add_ps(a, accum_sse);
_mm_store_ss(&accum, accum_sse);
#elif EINSUM_USE_SSE2 && @float64@
/* Add the two SSE2 values and put in accum */
a = _mm_shuffle_pd(accum_sse, accum_sse, _MM_SHUFFLE2(0,1));
accum_sse = _mm_add_pd(a, accum_sse);
_mm_store_sd(&accum, accum_sse);
#endif
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
static void
@name@_sum_of_products_stride0_contig_outstride0_two(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@temptype@ value0 = @from@(*(@type@ *)dataptr[0]);
@type@ *data1 = (@type@ *)dataptr[1];
@temptype@ accum = 0;
#if EINSUM_USE_SSE1 && @float32@
__m128 a, accum_sse = _mm_setzero_ps();
#endif
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_stride0_contig_outstride0_two (%d)\n",
(int)count);
/* This is placed before the main loop to make small counts faster */
finish_after_unrolled_loop:
switch (count) {
/**begin repeat2
* #i = 6, 5, 4, 3, 2, 1, 0#
*/
case @i@+1:
accum += @from@(data1[@i@]);
/**end repeat2**/
case 0:
*(@type@ *)dataptr[2] += @to@(value0 * accum);
return;
}
#if EINSUM_USE_SSE1 && @float32@
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data1)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 4#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
accum_sse = _mm_add_ps(accum_sse, _mm_load_ps(data1+@i@));
/**end repeat2**/
data1 += 8;
}
#if EINSUM_USE_SSE1 && @float32@
/* Add the four SSE values and put in accum */
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(2,3,0,1));
accum_sse = _mm_add_ps(a, accum_sse);
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(1,0,3,2));
accum_sse = _mm_add_ps(a, accum_sse);
_mm_store_ss(&accum, accum_sse);
#endif
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#endif
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
#if EINSUM_USE_SSE1 && @float32@
/**begin repeat2
* #i = 0, 4#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
accum_sse = _mm_add_ps(accum_sse, _mm_loadu_ps(data1+@i@));
/**end repeat2**/
#else
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
accum += @from@(data1[@i@]);
/**end repeat2**/
#endif
data1 += 8;
}
#if EINSUM_USE_SSE1 && @float32@
/* Add the four SSE values and put in accum */
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(2,3,0,1));
accum_sse = _mm_add_ps(a, accum_sse);
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(1,0,3,2));
accum_sse = _mm_add_ps(a, accum_sse);
_mm_store_ss(&accum, accum_sse);
#endif
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
static void
@name@_sum_of_products_contig_stride0_outstride0_two(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@type@ *data0 = (@type@ *)dataptr[0];
@temptype@ value1 = @from@(*(@type@ *)dataptr[1]);
@temptype@ accum = 0;
#if EINSUM_USE_SSE1 && @float32@
__m128 a, accum_sse = _mm_setzero_ps();
#endif
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_contig_stride0_outstride0_two (%d)\n",
(int)count);
/* This is placed before the main loop to make small counts faster */
finish_after_unrolled_loop:
switch (count) {
/**begin repeat2
* #i = 6, 5, 4, 3, 2, 1, 0#
*/
case @i@+1:
accum += @from@(data0[@i@]);
/**end repeat2**/
case 0:
*(@type@ *)dataptr[2] += @to@(accum * value1);
return;
}
#if EINSUM_USE_SSE1 && @float32@
/* Use aligned instructions if possible */
if (EINSUM_IS_SSE_ALIGNED(data0)) {
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 4#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
accum_sse = _mm_add_ps(accum_sse, _mm_load_ps(data0+@i@));
/**end repeat2**/
data0 += 8;
}
#if EINSUM_USE_SSE1 && @float32@
/* Add the four SSE values and put in accum */
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(2,3,0,1));
accum_sse = _mm_add_ps(a, accum_sse);
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(1,0,3,2));
accum_sse = _mm_add_ps(a, accum_sse);
_mm_store_ss(&accum, accum_sse);
#endif
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#endif
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
#if EINSUM_USE_SSE1 && @float32@
/**begin repeat2
* #i = 0, 4#
*/
/*
* NOTE: This accumulation changes the order, so will likely
* produce slightly different results.
*/
accum_sse = _mm_add_ps(accum_sse, _mm_loadu_ps(data0+@i@));
/**end repeat2**/
#else
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
accum += @from@(data0[@i@]);
/**end repeat2**/
#endif
data0 += 8;
}
#if EINSUM_USE_SSE1 && @float32@
/* Add the four SSE values and put in accum */
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(2,3,0,1));
accum_sse = _mm_add_ps(a, accum_sse);
a = _mm_shuffle_ps(accum_sse, accum_sse, _MM_SHUFFLE(1,0,3,2));
accum_sse = _mm_add_ps(a, accum_sse);
_mm_store_ss(&accum, accum_sse);
#endif
/* Finish off the loop */
goto finish_after_unrolled_loop;
}
#elif @nop@ == 3 && !@complex@
static void
@name@_sum_of_products_contig_three(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
@type@ *data0 = (@type@ *)dataptr[0];
@type@ *data1 = (@type@ *)dataptr[1];
@type@ *data2 = (@type@ *)dataptr[2];
@type@ *data_out = (@type@ *)dataptr[3];
/* Unroll the loop by 8 */
while (count >= 8) {
count -= 8;
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
data_out[@i@] = @to@(@from@(data0[@i@]) *
@from@(data1[@i@]) *
@from@(data2[@i@]) +
@from@(data_out[@i@]));
/**end repeat2**/
data0 += 8;
data1 += 8;
data2 += 8;
data_out += 8;
}
/* Finish off the loop */
/**begin repeat2
* #i = 0, 1, 2, 3, 4, 5, 6, 7#
*/
if (count-- == 0) {
return;
}
data_out[@i@] = @to@(@from@(data0[@i@]) *
@from@(data1[@i@]) *
@from@(data2[@i@]) +
@from@(data_out[@i@]));
/**end repeat2**/
}
#else /* @nop@ > 3 || @complex */
static void
@name@_sum_of_products_contig_@noplabel@(int nop, char **dataptr,
npy_intp *NPY_UNUSED(strides), npy_intp count)
{
NPY_EINSUM_DBG_PRINT1("@name@_sum_of_products_contig_@noplabel@ (%d)\n",
(int)count);
while (count--) {
#if !@complex@
@temptype@ temp = @from@(*(@type@ *)dataptr[0]);
int i;
for (i = 1; i < nop; ++i) {
temp *= @from@(*(@type@ *)dataptr[i]);
}
*(@type@ *)dataptr[nop] = @to@(temp +
@from@(*(@type@ *)dataptr[i]));
for (i = 0; i <= nop; ++i) {
dataptr[i] += sizeof(@type@);
}
#else /* complex */
# if @nop@ <= 3
# define _SUMPROD_NOP @nop@
# else
# define _SUMPROD_NOP nop