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PMP_Multilinear.h
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PMP_Multilinear.h
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/* -------------------------------------------------------------------------------
* Copyright (c) 2014, Dmytro Ivanchykhin, Sergey Ignatchenko, Daniel Lemire
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------------------
*
* PMP+-Multilinear hash family implementation
*
* v.1.00 Apr-14-2014 Initial release
*
* -------------------------------------------------------------------------------*/
// PMP_Multilinear.h: implementation of a 32-bit version of PMP+-Multilinear hash family
#if !defined __PMP_MULTILINEAR_HASHER_H__
#define __PMP_MULTILINEAR_HASHER_H__
#define __MULTILINEARPRIMESTRINGHASHFUNCTOR_CPP_H__REVISION_ "$Rev: 453 $" /* for automated version information update; could be removed, if not desired */
#include "PMP_Multilinear_common.h"
#ifdef _MSC_VER
#define PMPML_CHUNK_OPTIMIZATION_TYPE 2 // 1 or 2 is recommended
#define PMPML_MSC_32_WORKAROUND // enables MSVC-specific code that appears to be more efficient than a regular one; comment out, if not desired
#else // _MSC_VER
#if (defined __arm__ || defined __aarch64__)
#define PMPML_CHUNK_OPTIMIZATION_TYPE 1 // 1 is recommended
#else // __arm__
#ifdef __INTEL_COMPILER
#define PMPML_CHUNK_OPTIMIZATION_TYPE 1 // add64 function fails to build on some Intel compilers
#else
#define PMPML_CHUNK_OPTIMIZATION_TYPE 2 // 2 is recommended
#endif //__INTEL_COMPILER
#endif // __arm __
#endif // _MSC_VER
#if defined __arm__ || defined __aarch64__
//#define PMPML_STRICT_UNALIGNED_HANDLING
#endif // __arm__
#ifdef PMPML_STRICT_UNALIGNED_HANDLING
#endif
#if (PMPML_CHUNK_OPTIMIZATION_TYPE== 1)
#define PMPML_CHUNK_LOOP_INTRO_L0 \
ULARGE_INTEGER__XX ctr; \
ctr.QuadPart = 0; \
ULARGE_INTEGER__XX mul;
#define PMPML_CHUNK_LOOP_BODY_ULI_T1( i ) \
mul.QuadPart = UInt32x32To64( coeff[ i ], x[ i ] ); \
constTerm.QuadPart += mul.LowPart; \
ctr.QuadPart += mul.HighPart;
#ifdef PMPML_STRICT_UNALIGNED_HANDLING
#define PMPML_CHUNK_LOOP_BODY_ULI_T1_UNL( shift, i ) \
mul.QuadPart = UInt32x32To64( coeff[ i ], x | ( xx[ i ] << (32-shift) ) ); \
x = xx[ i ] >> shift; \
constTerm.QuadPart += mul.LowPart; \
ctr.QuadPart += mul.HighPart;
#define PMPML_CHUNK_LOOP_BODY_ULI_T1_UNL_PTR( i ) \
mul.QuadPart = UInt32x32To64( coeff[ i ], xun[ i ].value ); \
constTerm.QuadPart += mul.LowPart; \
ctr.QuadPart += mul.HighPart;
#endif // PMPML_STRICT_UNALIGNED_HANDLING
#define PMPML_CHUNK_LOOP_BODY_ULI_T1_LAST \
mul.QuadPart = UInt32x32To64(xLast, (uint32_t)(coeff[ size ])); \
constTerm.QuadPart += mul.LowPart; \
ctr.QuadPart += mul.HighPart;
#define PMPML_CHUNK_LOOP_BODY_ULI_T1_LAST_FOR_JUST_1 \
constTerm.QuadPart += coeff[ size ];
#define PMPML_CHUNK_LOOP_PRE_REDUCE_L0
#define PMPML_FULL_REDUCE_MOD_2_32_PLUS_15_AND_RETURN \
{ \
ctr.QuadPart += constTerm.HighPart; \
constTerm.HighPart = ctr.LowPart; \
ULARGE_INTEGER__XX hilo; \
hilo.QuadPart = constTerm.HighPart * UINT64_C( 15 ); \
uint32_t part = ctr.HighPart * 225 + (hilo.HighPart << 4) - hilo.HighPart + 15; \
constTerm.LowPart += part; \
constTerm.HighPart = 1 + (constTerm.LowPart < part); \
constTerm.HighPart -= (constTerm.LowPart < hilo.LowPart); \
constTerm.LowPart -= hilo.LowPart; \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 30) ) { constTerm.LowPart -= constTerm.HighPart * 15; constTerm.HighPart = 0; } \
else \
{ \
constTerm.LowPart -= constTerm.HighPart * 15; \
if ( constTerm.LowPart < 30 ) constTerm.HighPart = 0; \
else \
{ \
constTerm.LowPart += 15; \
if ( constTerm.LowPart < 15 ) constTerm.HighPart = 1; \
else constTerm.HighPart = 0; \
} \
} \
return constTerm.QuadPart; \
}
#define PMPML_FULL_REDUCE_MOD_2_32_PLUS_15_AND_RETURN_RETURN \
{ \
ctr.QuadPart += constTerm.HighPart; \
constTerm.HighPart = ctr.LowPart; \
ULARGE_INTEGER__XX hilo; \
hilo.QuadPart = constTerm.HighPart * UINT64_C( 15 ); \
uint32_t part = ctr.HighPart * 225 + (hilo.HighPart << 4) - hilo.HighPart + 15; \
constTerm.LowPart += part; \
constTerm.HighPart = 1 + (constTerm.LowPart < part); \
constTerm.HighPart -= (constTerm.LowPart < hilo.LowPart); \
constTerm.LowPart -= hilo.LowPart; \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 30) ) { constTerm.LowPart -= (constTerm.HighPart << 4) - constTerm.HighPart; return fmix32_short( constTerm.LowPart ); } \
else \
{ \
constTerm.LowPart -= constTerm.HighPart * 15; \
if ( constTerm.LowPart < 30 ) return fmix32_short( constTerm.LowPart ); \
else \
{ \
constTerm.LowPart += 15; \
return fmix32_short( constTerm.LowPart ); \
} \
} \
}
#define PMPML_FULL_REDUCE_MOD_2_32_PLUS_15_AND_RETURN_RETURN_32x32_ONLY \
{ \
constTerm.QuadPart = constTerm.LowPart + PMPML_MAIN_PRIME - constTerm.HighPart * UINT64_C( 15 ); \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 30) ) { constTerm.LowPart -= (constTerm.HighPart << 4) - constTerm.HighPart; return fmix32_short( constTerm.LowPart ); } \
else \
{ \
constTerm.LowPart -= constTerm.HighPart * 15; \
if ( constTerm.LowPart < 30 ) return fmix32_short( constTerm.LowPart ); \
else \
{ \
constTerm.LowPart += 15; \
return fmix32_short( constTerm.LowPart ); \
} \
} \
}
#elif (PMPML_CHUNK_OPTIMIZATION_TYPE == 2)
#if defined(_MSC_VER)
FORCE_INLINE
void multiply32x32to64(uint32_t& rhi, uint32_t& rlo, uint32_t a, uint32_t b)
{
ULARGE_INTEGER__XX mul;
mul.QuadPart = UInt32x32To64( a, b );
rhi = mul.HighPart;
rlo = mul.LowPart;
}
FORCE_INLINE
void add64(uint32_t& loWord, uint32_t& hiWord, uint32_t& hhWord, uint32_t& loAdd, uint32_t& hiAdd )
{
loWord += loAdd;
uint64_t carry = loWord < loAdd;
hiWord += hiAdd;
uint64_t c1 = hiWord < hiAdd;
hhWord += c1;
hiWord += carry;
c1 = hiWord < carry;
hhWord += c1;
}
FORCE_INLINE
void mul32x32to64addto96(uint32_t& loWord, uint32_t& hiWord, uint32_t& hhWord, uint32_t a, uint32_t b )
{
ULARGE_INTEGER__XX mul;
mul.QuadPart = UInt32x32To64( a, b );
/* loWord += mul.LowPart;
uint64_t carry = loWord < mul.LowPart;
hiWord += mul.HighPart;
uint64_t c1 = hiWord < mul.HighPart;
hhWord += c1;
hiWord += carry;
c1 = hiWord < carry;
hhWord += c1;*/
_addcarry_u32(_addcarry_u32(_addcarry_u32(0, loWord, mul.LowPart, reinterpret_cast<unsigned int*>(&(loWord))), hiWord, mul.HighPart, reinterpret_cast<unsigned int*>(&(hiWord))), hhWord, 0, reinterpret_cast<unsigned int*>(&(hhWord))); \
}
#else
inline
void multiply32x32to64(uint32_t& rhi, uint32_t& rlo, uint32_t a, uint32_t b)
{
#if defined __arm__ || defined __aarch64__
__asm("UMULL %0, %1, %2, %3\n"
: "+r" (rlo), "+r" (rhi)
: "r" (a), "r" (b) : "cc", "memory" );
#else // __arm__
__asm__(
" mull %[b]\n"
:"=d"(rhi),"=a"(rlo)
:"1"(a),[b]"rm"(b));
#endif
}
inline
void add64(uint32_t& loWord, uint32_t& hiWord, uint32_t& hhWord, uint32_t& loAdd, uint32_t& hiAdd, uint32_t& hhAdd)
{
#if defined __arm__ || defined __aarch64__
__asm("ADDS %3, %3, %0\n"
"ADCS %1, %4, %1\n"
"ADC %2, %5, %2"
: "+r" (loWord), "+r" (hiWord), "+r" (hhWord)
: "r" (loAdd), "r" (hiAdd), "r" (hhAdd) : "cc", "memory" );
#else
__asm("addl %3, %0\n"
"adcl %4, %1\n"
"adcl %5, %2"
: "+g" (loWord), "+g" (hiWord), "+g" (hhWord)
: "g" (loAdd), "g" (hiAdd), "g" (hhAdd) : "cc", "memory" );
#endif
}
FORCE_INLINE
void mul32x32to64addto96(uint32_t& loWord, uint32_t& hiWord, uint32_t& hhWord, uint32_t a, uint32_t b)
{
uint32_t rhi;
#if defined __arm__ || defined __aarch64__
uint32_t rlo;
__asm("UMULL %3, %4, %5, %6\n"
"ADDS %0, %3, %0\n"
"ADCS %1, %4, %1\n"
"ADC %2, %2, #0x0"
: "+r" (loWord), "+r" (hiWord), "+r" (hhWord), "=r" (rlo), "=r" (rhi)
: "r" (a), "r" (b) : "cc" );
#else // __arm__
__asm__( "mull %5\n"
"addl %%eax, %0\n"
"adcl %%edx, %1\n"
"adcl $0, %2\n"
: "+g" (loWord), "+g" (hiWord), "+g" (hhWord), "=a" (rhi)
:"a"(a), "g"(b) : "edx", "cc" );
#endif
}
#endif
#define PMPML_CHUNK_LOOP_INTRO_L0 \
uint32_t ctr; \
ctr = 0; \
ULARGE_INTEGER__XX mul;
#ifdef _MSC_VER
#define PMPML_CHUNK_LOOP_BODY_ULI_T1( i ) \
{ \
ULARGE_INTEGER__XX mul; \
mul.QuadPart = UInt32x32To64(x[i], coeff[i]); \
_addcarry_u32(_addcarry_u32(_addcarry_u32(0, constTerm.LowPart, mul.LowPart, reinterpret_cast<unsigned int*>(&(constTerm.LowPart))), constTerm.HighPart, mul.HighPart, reinterpret_cast<unsigned int*>(&(constTerm.HighPart))), ctr, 0, reinterpret_cast<unsigned int*>(&(ctr))); \
}
#define PMPML_CHUNK_LOOP_BODY_ULI_T1_LAST \
{\
ULARGE_INTEGER__XX mul; \
mul.QuadPart = UInt32x32To64(xLast, coeff[size]); \
_addcarry_u32(_addcarry_u32(_addcarry_u32(0, constTerm.LowPart, mul.LowPart, reinterpret_cast<unsigned int*>(&(constTerm.LowPart))), constTerm.HighPart, mul.HighPart, reinterpret_cast<unsigned int*>(&(constTerm.HighPart))), ctr, 0, reinterpret_cast<unsigned int*>(&(ctr))); \
}
#define PMPML_CHUNK_LOOP_BODY_ULI_T1_LAST_FOR_JUST_1 \
{\
_addcarry_u32(_addcarry_u32(_addcarry_u32(0, constTerm.LowPart, coeff[ size ], reinterpret_cast<unsigned int*>(&(constTerm.LowPart))), constTerm.HighPart, 0, reinterpret_cast<unsigned int*>(&(constTerm.HighPart))), ctr, 0, reinterpret_cast<unsigned int*>(&(ctr))); \
}
#else // _MSC_VER
#define PMPML_CHUNK_LOOP_BODY_ULI_T1( i ) \
/*multiply32x32to64(mul.HighPart, mul.LowPart, x[i], coeff[ i ]); \
add64(constTerm.LowPart, constTerm.HighPart, ctr, mul.LowPart, mul.HighPart, zero);*/ \
mul32x32to64addto96(constTerm.LowPart, constTerm.HighPart, ctr, x[i], coeff[ i ]); \
#define PMPML_CHUNK_LOOP_BODY_ULI_T1_LAST \
/*multiply32x32to64(mul.HighPart, mul.LowPart, xLast, coeff[ size ]); \
add64(constTerm.LowPart, constTerm.HighPart, ctr, mul.LowPart, mul.HighPart);*/ \
mul32x32to64addto96(constTerm.LowPart, constTerm.HighPart, ctr, xLast, coeff[ size ]); \
#endif // _MSC_VER
#define PMPML_CHUNK_LOOP_PRE_REDUCE_L0
/*
#define PMPML_MOD_2_32_PLUS_15( x, y ) \
x = (uint32_t)x + UINT64_C(0xF000000E1) - (( (uint64_t)x >> 32 ) << 4) + ( x >> 32 ); \
y = (uint32_t)x; \
y -= ((uint32_t)(x >> 32 )) * 15; \
if ( y < 0 ) y += PMPML_MAIN_PRIME; // y += PMPML_MAIN_PRIME * ( y < 0 );
*/
#define PMPML_CHUNK_REDUCE_96_TO_64
#define PMPML_CHUNK_REDUCE_64_TO_32 \
{ \
uint32_t lo, hi; \
multiply32x32to64(hi, lo, constTerm.HighPart, 15); \
uint32_t part = ctr * 225 + (hi << 4) - hi + 15; \
constTerm.LowPart += part; \
constTerm.HighPart = 1 + (constTerm.LowPart < part); \
constTerm.HighPart -= (constTerm.LowPart < lo); \
constTerm.LowPart -= lo; \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 30) ) { constTerm.LowPart -= constTerm.HighPart * 15; constTerm.HighPart = 0; } \
else \
{ \
if ( constTerm.HighPart ) \
{ \
constTerm.LowPart -= constTerm.HighPart * 15; \
constTerm.HighPart = 1; \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 15)) { constTerm.LowPart -= 15; constTerm.HighPart = 0; } \
else \
{ \
constTerm.LowPart -= 15; \
constTerm.HighPart = 0; \
} \
} \
} \
}
#define PMPML_FULL_REDUCE_MOD_2_32_PLUS_15_AND_RETURN \
PMPML_CHUNK_REDUCE_96_TO_64 \
PMPML_CHUNK_REDUCE_64_TO_32 \
return constTerm.QuadPart;
#define PMPML_FULL_REDUCE_MOD_2_32_PLUS_15_AND_RETURN_RETURN_32x32_ONLY \
{ \
constTerm.QuadPart = constTerm.LowPart + PMPML_MAIN_PRIME - constTerm.HighPart * UINT64_C( 15 ); \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 30) ) { constTerm.LowPart -= (constTerm.HighPart << 4) - constTerm.HighPart; return fmix32_short( constTerm.LowPart ); } \
else \
{ \
constTerm.LowPart -= constTerm.HighPart * 15; \
if ( constTerm.LowPart < 30 ) return fmix32_short( constTerm.LowPart ); \
else \
{ \
constTerm.LowPart += 15; \
return fmix32_short( constTerm.LowPart ); \
} \
} \
}
#define PMPML_FULL_REDUCE_MOD_2_32_PLUS_15_AND_RETURN_RETURN \
{ \
uint32_t lo, hi; \
multiply32x32to64(hi, lo, constTerm.HighPart, 15); \
uint32_t part = ctr * 225 + (hi << 4) - hi + 15; \
constTerm.LowPart += part; \
constTerm.HighPart = 1 + (constTerm.LowPart < part); \
constTerm.HighPart -= (constTerm.LowPart < lo); \
constTerm.LowPart -= lo; \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 30) ) { constTerm.LowPart -= (constTerm.HighPart << 4) - constTerm.HighPart/*constTerm.HighPart * 15*/; return fmix32_short( constTerm.LowPart ); } \
else \
{ \
if ( constTerm.HighPart ) \
{ \
constTerm.LowPart -= constTerm.HighPart * 15 - 15; \
constTerm.HighPart = 1; \
if ( _LIKELY_BRANCH_( constTerm.LowPart >= 15)) { constTerm.LowPart -= 15; return fmix32_short( constTerm.LowPart ); } \
else \
{ \
return constTerm.LowPart; \
} \
} \
else \
return fmix32_short( constTerm.LowPart ); \
} \
}
#endif
class PMP_Multilinear_Hasher
{
private:
random_data_for_MPSHF* curr_rd;
#ifdef PMPML_USE_SSE
const unsigned char* base_addr;
#endif
// calls to be done from LEVEL=0
FORCE_INLINE
uint64_t hash_of_string_chunk_compact( const uint32_t* coeff, ULARGE_INTEGER__XX constTerm, const uint32_t* x ) const
{
PMPML_CHUNK_LOOP_INTRO_L0
#ifdef PMPML_USE_SSE
#if PMPML_USE_SSE_SIZE == 128
__m128i ctr0, ctr1, mask_low;
__m128i a, data, product, temp;
uint64_t temp_fin;
int i;
ctr0 = _mm_setzero_si128 (); // Sets the 128-bit value to zero.
ctr1 = _mm_setzero_si128 ();
mask_low = _mm_set_epi32 ( 0, -1, 0 , -1 );
uint32_t *x1, *x2, *x3, *c1, *c2, *c3;
#if (PMPML_CHUNK_SIZE >= 64)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=64 )
#elif (PMPML_CHUNK_SIZE >= 32)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=32 )
#elif (PMPML_CHUNK_SIZE >= 16)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=16 )
#elif (PMPML_CHUNK_SIZE >= 8)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=8 )
#elif (PMPML_CHUNK_SIZE >= 4)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=4 )
#else
#error PMPML_CHUNK_SIZE is incompatible with PMPML_USE_SSE option
#endif
{
a = _mm_load_si128 ((__m128i *)(coeff+i)); // Loads 128-bit value. Address p must be 16-byte aligned.
data = _mm_loadu_si128 ((__m128i *)(x+i)); // Loads 128-bit value. Address p does not need be 16-byte aligned.
product = _mm_mul_epu32 ( data, a); // A 128-bit value that contains two 64-bit unsigned integers. The result can be expressed by the following equations. r0 := a0 * b0; r1 := a2 * b2
temp = _mm_srli_epi64( product, 32 ); // Shifts the 2 signed or unsigned 64-bit integers in a right by count bits while shifting in zeros.
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
#if ( PMPML_CHUNK_SIZE > 4 )
a = _mm_load_si128 ((__m128i *)(coeff+i+4));
data = _mm_loadu_si128 ((__m128i *)(x+i+4));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
#endif // ( PMPML_CHUNK_SIZE > 4 )
#if ( PMPML_CHUNK_SIZE > 8 )
a = _mm_load_si128 ((__m128i *)(coeff+i+8));
data = _mm_loadu_si128 ((__m128i *)(x+i+8));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(coeff+i+12));
data = _mm_loadu_si128 ((__m128i *)(x+i+12));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
#endif // ( PMPML_CHUNK_SIZE > 8 )
#if ( PMPML_CHUNK_SIZE > 16 )
a = _mm_load_si128 ((__m128i *)(coeff+i+16));
data = _mm_loadu_si128 ((__m128i *)(x+i+16));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(coeff+i+20));
data = _mm_loadu_si128 ((__m128i *)(x+i+20));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(coeff+i+24));
data = _mm_loadu_si128 ((__m128i *)(x+i+24));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(coeff+i+28));
data = _mm_loadu_si128 ((__m128i *)(x+i+28));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
#endif // ( PMPML_CHUNK_SIZE > 16 )
#if ( PMPML_CHUNK_SIZE > 32 )
x1 = const_cast<uint32_t*>( x+i+36 );
x2 = const_cast<uint32_t*>( x+i+40 );
x3 = const_cast<uint32_t*>( x+i+44 );
c1 = const_cast<uint32_t*>( coeff+i+36 );
c2 = const_cast<uint32_t*>( coeff+i+40 );
c3 = const_cast<uint32_t*>( coeff+i+44 );
a = _mm_load_si128 ((__m128i *)(coeff+i+32));
data = _mm_loadu_si128 ((__m128i *)(x+i+32));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(c1));
data = _mm_loadu_si128 ((__m128i *)(x1));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(c2));
data = _mm_loadu_si128 ((__m128i *)(x2));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(c3));
data = _mm_loadu_si128 ((__m128i *)(x3));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
x1 = const_cast<uint32_t*>( x+i+52 );
x2 = const_cast<uint32_t*>( x+i+56 );
x3 = const_cast<uint32_t*>( x+i+60 );
c1 = const_cast<uint32_t*>( coeff+i+52 );
c2 = const_cast<uint32_t*>( coeff+i+56 );
c3 = const_cast<uint32_t*>( coeff+i+60 );
a = _mm_load_si128 ((__m128i *)(coeff+i+48));
data = _mm_loadu_si128 ((__m128i *)(x+i+48));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(c1));
data = _mm_loadu_si128 ((__m128i *)(x1));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(c2));
data = _mm_loadu_si128 ((__m128i *)(x2));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_load_si128 ((__m128i *)(c3));
data = _mm_loadu_si128 ((__m128i *)(x3));
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
a = _mm_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm_mul_epu32 ( data, a);
temp = _mm_srli_epi64( product, 32 );
ctr1 = _mm_add_epi64 ( ctr1, temp );
//temp = _mm_and_si128 ( mask_low, product );
ctr0 = _mm_add_epi64 ( ctr0, product );//ctr0 = _mm_add_epi64 ( ctr0, temp );
#endif // ( PMPML_CHUNK_SIZE > 32 )
}
temp = _mm_unpackhi_epi64 ( ctr0, ctr1 ); // Interleaves the upper signed or unsigned 64-bit integer in a with the upper signed or unsigned 64-bit integer in b. r0 := a1 ; r1 := b1
data = _mm_unpacklo_epi64 ( ctr0, ctr1 ); // Interleaves the lower signed or unsigned 64-bit integer in a with the lower signed or unsigned 64-bit integer in b. r0 := a0 ; r1 := b0
ctr1 = _mm_add_epi64 ( data, temp );
#if (PMPML_CHUNK_OPTIMIZATION_TYPE== 1)
#if defined(_MSC_VER)
constTerm.QuadPart += ctr1.m128i_u32[0]; // Microsoft specific
ctr.QuadPart += ctr1.m128i_u64[1] + ctr1.m128i_u32[1];
#elif defined( __SSE4_1__)
constTer.QuadPart += _mm_extract_epi32(ctr1,0);
ctr.QuadPart += _mm_extract_epi64(ctr1,0) + _mm_extract_epi32(ctr1,1);
#else
uint32_t b[4];
_mm_storeu_si128((__m128i *)b,ctr1);
constTerm.QuadPart += b[0];
ctr.QuadPart += b[1] + b[2] + ((uint64_t) b[3] <<32);
#endif
#elif (PMPML_CHUNK_OPTIMIZATION_TYPE== 2)
uint64_t lo = ((uint64_t*)(&ctr1))[0];
uint64_t hi = ((uint64_t*)(&ctr1))[1];
/* constTerm.QuadPart += lo;
ctr += constTerm.QuadPart < lo;
constTerm.HighPart += ((uint32_t*)(&ctr1))[2];
ctr += constTerm.HighPart < ((uint32_t*)(&ctr1))[2];
ctr += ((uint32_t*)(&ctr1))[3];*/
uint32_t lohi = lo >> 32;
uint32_t hilo = hi;
uint32_t diff = lohi - hilo;
hi += diff;
lo = (uint32_t)lo + (((uint64_t)(uint32_t)hi) << 32 );
constTerm.QuadPart += lo;
ctr += constTerm.QuadPart < lo;
ctr += hi >> 32;
#else
#error unexpected PMPML_CHUNK_OPTIMIZATION_TYPE
#endif
#elif PMPML_USE_SSE_SIZE == 256
// DANIEL: Code below will fail to compile on a machine with no AVX2 support, or without the right
// -march flag. Please consider testing whether AVX2 is supported, e.g., see http://stackoverflow.com/questions/25820290/how-verify-that-operating-system-support-avx2-instructions
__m256i ctr0, ctr1, mask_low;
__m256i a, data, product, temp;
uint64_t temp_fin;
int i;
ctr0 = _mm256_setzero_si256 (); // Sets the 128-bit value to zero.
ctr1 = _mm256_setzero_si256 ();
mask_low = _mm256_set_epi32 ( 0, -1, 0 , -1, 0, -1, 0 , -1 );
uint32_t *x1, *x2, *x3, *c1, *c2, *c3;
#if (PMPML_CHUNK_SIZE >= 64)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=64 )
#elif (PMPML_CHUNK_SIZE >= 32)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=32 )
#elif (PMPML_CHUNK_SIZE >= 16)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=16 )
#elif (PMPML_CHUNK_SIZE >= 8)
for ( i=0; i<PMPML_CHUNK_SIZE; i+=8 )
#else
#error PMPML_CHUNK_SIZE is incompatible with PMPML_USE_SSE option
#endif
{
a = _mm256_load_si256 ((__m256i *)(coeff+i)); // Loads 256-bit value. Address p must be 32-byte aligned.
data = _mm256_loadu_si256 ((__m256i *)(x+i)); // Loads 256-bit value. Address p does not need be 32-byte aligned.
product = _mm256_mul_epu32 ( data, a); // A 256-bit value that contains four 64-bit unsigned integers. The result can be expressed by the following equations. r0 := a0 * b0; r1 := a2 * b2; ...
temp = _mm256_srli_epi64( product, 32 ); // Shifts the 4 signed or unsigned 64-bit integers in a right by count bits while shifting in zeros.
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
#if ( PMPML_CHUNK_SIZE > 8 )
a = _mm256_load_si256 ((__m256i *)(coeff+i+8));
data = _mm256_loadu_si256 ((__m256i *)(x+i+8));
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
#endif // ( PMPML_CHUNK_SIZE > 8 )
#if ( PMPML_CHUNK_SIZE > 16 )
a = _mm256_load_si256 ((__m256i *)(coeff+i+16));
data = _mm256_loadu_si256 ((__m256i *)(x+i+16));
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_load_si256 ((__m256i *)(coeff+i+24));
data = _mm256_loadu_si256 ((__m256i *)(x+i+24));
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
#endif // ( PMPML_CHUNK_SIZE > 16 )
#if ( PMPML_CHUNK_SIZE > 32 )
a = _mm256_load_si256 ((__m256i *)(coeff+i+32));
data = _mm256_loadu_si256 ((__m256i *)(x+i+32));
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_load_si256 ((__m256i *)(coeff+i+40));
data = _mm256_loadu_si256 ((__m256i *)(x+i+40));
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_load_si256 ((__m256i *)(coeff+i+48));
data = _mm256_loadu_si256 ((__m256i *)(x+i+48));
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_load_si256 ((__m256i *)(coeff+i+56));
data = _mm256_loadu_si256 ((__m256i *)(x+i+56));
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
a = _mm256_shuffle_epi32( a, 1*1+0*4+3*16+2*64 );
data = _mm256_shuffle_epi32( data, 1*1+0*4+3*16+2*64 );
product = _mm256_mul_epu32 ( data, a);
temp = _mm256_srli_epi64( product, 32 );
ctr1 = _mm256_add_epi64 ( ctr1, temp );
//temp = _mm256_and_si256 ( mask_low, product );
ctr0 = _mm256_add_epi64 ( ctr0, product );//ctr0 = _mm256_add_epi64 ( ctr0, temp );
#endif // ( PMPML_CHUNK_SIZE > 32 )
}
temp = _mm256_unpackhi_epi64 ( ctr0, ctr1 ); // Interleaves the upper signed or unsigned 64-bit integer in a with the upper signed or unsigned 64-bit integer in b. r0 := a1 ; r1 := b1 ; ...
data = _mm256_unpacklo_epi64 ( ctr0, ctr1 ); // Interleaves the lower signed or unsigned 64-bit integer in a with the lower signed or unsigned 64-bit integer in b. r0 := a0 ; r1 := b0 ; ...
ctr1 = _mm256_add_epi64 ( data, temp );
#if (PMPML_CHUNK_OPTIMIZATION_TYPE== 1)
#ifdef 0
// revision pending
#if defined(_MSC_VER)
constTerm.QuadPart += ctr1.m128i_u32[0]; // Microsoft specific
ctr.QuadPart += ctr1.m128i_u64[1] + ctr1.m128i_u32[1];
#elif defined( __SSE4_1__)
constTer.QuadPart += _mm_extract_epi32(ctr1,0);
ctr.QuadPart += _mm_extract_epi64(ctr1,0) + _mm_extract_epi32(ctr1,1);
#else
uint32_t b[4];
_mm_storeu_si128((__m128i *)b,ctr1);
constTerm.QuadPart += b[0];
ctr.QuadPart += b[1] + b[2] + ((uint64_t) b[3] <<32);
#endif
#else // 0
#error unsupported
#endif // 0
#elif (PMPML_CHUNK_OPTIMIZATION_TYPE== 2)
uint64_t lo = *(uint64_t*)(&ctr1) + ((uint64_t*)(&ctr1))[2];
uint64_t hi = ((uint64_t*)(&ctr1))[1] + ((uint64_t*)(&ctr1))[3];
uint32_t lohi = lo >> 32;
uint32_t hilo = hi;
uint32_t diff = lohi - hilo;
hi += diff;
lo = (uint32_t)lo + (((uint64_t)(uint32_t)hi) << 32 );
constTerm.QuadPart += lo;
ctr += constTerm.QuadPart < lo;
ctr += hi >> 32;
#else
#error unexpected PMPML_CHUNK_OPTIMIZATION_TYPE
#endif
#else
#error unsupported PMPML_USE_SSE_SIZE value
#endif
#else //PMPML_USE_SSE
for ( uint32_t i=0; i<PMPML_CHUNK_SIZE; i+=8 )
{
PMPML_CHUNK_LOOP_BODY_ULI_T1( 0 + i )
PMPML_CHUNK_LOOP_BODY_ULI_T1( 1 + i )
PMPML_CHUNK_LOOP_BODY_ULI_T1( 2 + i )
PMPML_CHUNK_LOOP_BODY_ULI_T1( 3 + i )
#if ( PMPML_CHUNK_SIZE > 4 )
PMPML_CHUNK_LOOP_BODY_ULI_T1( 4 + i )
PMPML_CHUNK_LOOP_BODY_ULI_T1( 5 + i )
PMPML_CHUNK_LOOP_BODY_ULI_T1( 6 + i )
PMPML_CHUNK_LOOP_BODY_ULI_T1( 7 + i )
#endif
}
#endif // PMPML_USE_SSE
PMPML_CHUNK_LOOP_PRE_REDUCE_L0
PMPML_FULL_REDUCE_MOD_2_32_PLUS_15_AND_RETURN
}