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//------------------------------------------------------------------------------
// GB_AxB.c: matrix multiply for a single semiring
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2025, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
#include "GB_control.h"
GB_type_enabled
#if GB_TYPE_ENABLED
#include "GB.h"
#include "mxm/GB_AxB_saxpy.h"
#include "assign/GB_bitmap_assign_methods.h"
GB_axb__include_h
// semiring operators:
GB_multiply_add
GB_multiply
GB_add_op
GB_add_update
// identity: GB_identity
// A matrix, typecast to A2 for multiplier input
GB_a_is_pattern
GB_atype
GB_a2type
GB_declarea
GB_geta
// B matrix, typecast to B2 for multiplier input
GB_b_is_pattern
GB_btype
GB_b2type
GB_declareb
GB_getb
GB_bsize
// C matrix
GB_c_iso
GB_ctype
GB_putc
// special case semirings:
GB_is_any_pair_semiring
GB_is_lxor_pair_semiring
GB_is_plus_pair_real_semiring
GB_is_plus_pair_8_semiring
GB_is_plus_pair_16_semiring
GB_is_plus_pair_32_semiring
GB_is_plus_pair_big_semiring
GB_is_min_firstj_semiring
GB_is_max_firstj_semiring
GB_semiring_has_avx
// monoid properties:
GB_ztype
GB_declare_identity
GB_declare_const_identity
GB_z_nbits
GB_has_identity_byte
GB_identity_byte
GB_z_atomic_bits
GB_z_atomic_type
GB_z_has_atomic_update
GB_z_has_omp_atomic_update
GB_ztype_ignore_overflow
GB_pragma_simd_reduction_monoid
GB_is_any_monoid
GB_is_imin_monoid
GB_is_imax_monoid
GB_is_fmin_monoid
GB_is_fmax_monoid
GB_is_plus_fc32_monoid
GB_is_plus_fc64_monoid
GB_monoid_is_terminal
GB_terminal_condition
GB_if_terminal_break
GB_declare_const_terminal
GB_ztype_is_complex
// special case multipliers:
GB_is_pair_multiplier
GB_pair_one
GB_offset
GB_is_firsti_multiplier
GB_is_firstj_multiplier
GB_is_secondj_multiplier
// disable this semiring and use the generic case if these conditions hold
GB_disable
#include "mxm/include/GB_mxm_shared_definitions.h"
//------------------------------------------------------------------------------
// GB_Adot2B: C=A'*B, C<M>=A'*B, or C<!M>=A'*B: dot product method, C is bitmap
//------------------------------------------------------------------------------
// if A_not_transposed is true, then C=A*B is computed where A is bitmap or full
GrB_Info GB (_Adot2B)
(
GrB_Matrix C,
const GrB_Matrix M, const bool Mask_comp, const bool Mask_struct,
const bool A_not_transposed,
const GrB_Matrix A, int64_t *restrict A_slice,
const GrB_Matrix B, int64_t *restrict B_slice,
int nthreads, int naslice, int nbslice
)
{
#if GB_DISABLE
return (GrB_NO_VALUE) ;
#else
#include "mxm/template/GB_AxB_dot2_meta.c"
return (GrB_SUCCESS) ;
#endif
}
//------------------------------------------------------------------------------
// GB_Adot3B: C<M>=A'*B: masked dot product, C is sparse or hyper
//------------------------------------------------------------------------------
GrB_Info GB (_Adot3B)
(
GrB_Matrix C,
const GrB_Matrix M, const bool Mask_struct,
const GrB_Matrix A,
const GrB_Matrix B,
const GB_task_struct *restrict TaskList,
const int ntasks,
const int nthreads
)
{
#if GB_DISABLE
return (GrB_NO_VALUE) ;
#else
#include "mxm/template/GB_AxB_dot3_meta.c"
return (GrB_SUCCESS) ;
#endif
}
m4_divert(if_dot4_enabled)
//------------------------------------------------------------------------------
// GB_Adot4B: C+=A'*B: dense dot product
//------------------------------------------------------------------------------
GrB_Info GB (_Adot4B)
(
GrB_Matrix C,
const bool C_in_iso,
const GrB_Matrix A,
const GrB_Matrix B,
const int64_t *restrict A_slice,
const int64_t *restrict B_slice,
const int naslice,
const int nbslice,
const int nthreads,
GB_Werk Werk
)
{
#if GB_DISABLE
return (GrB_NO_VALUE) ;
#else
#include "mxm/template/GB_AxB_dot4_meta.c"
return (GrB_SUCCESS) ;
#endif
}
m4_divert(0)
//------------------------------------------------------------------------------
// GB_AsaxbitB: C=A*B, C<M>=A*B, C<!M>=A*B: saxpy method, C is bitmap only
//------------------------------------------------------------------------------
#include "mxm/include/GB_AxB_saxpy3_template.h"
GrB_Info GB (_AsaxbitB)
(
GrB_Matrix C,
const GrB_Matrix M,
const bool Mask_comp,
const bool Mask_struct,
const GrB_Matrix A,
const GrB_Matrix B,
const int ntasks,
const int nthreads,
const int nfine_tasks_per_vector,
const bool use_coarse_tasks,
const bool use_atomics,
const int64_t *restrict M_ek_slicing,
const int M_nthreads,
const int M_ntasks,
const int64_t *restrict A_slice,
const int64_t *restrict H_slice,
GB_void *restrict Wcx,
int8_t *restrict Wf
)
{
#if GB_DISABLE
return (GrB_NO_VALUE) ;
#else
int nthreads_max = GB_Context_nthreads_max ( ) ;
double chunk = GB_Context_chunk ( ) ;
#include "mxm/template/GB_AxB_saxbit_template.c"
return (GrB_SUCCESS) ;
#endif
}
m4_divert(if_saxpy4_enabled)
//------------------------------------------------------------------------------
// GB_Asaxpy4B: C += A*B when C is full
//------------------------------------------------------------------------------
GrB_Info GB (_Asaxpy4B)
(
GrB_Matrix C,
const GrB_Matrix A,
const GrB_Matrix B,
const int ntasks,
const int nthreads,
const int nfine_tasks_per_vector,
const bool use_coarse_tasks,
const bool use_atomics,
const int64_t *A_slice,
const int64_t *H_slice,
GB_void *restrict Wcx
)
{
#if GB_DISABLE
return (GrB_NO_VALUE) ;
#else
#include "mxm/template/GB_AxB_saxpy4_meta.c"
return (GrB_SUCCESS) ;
#endif
}
m4_divert(0)
m4_divert(if_saxpy5_enabled)
//------------------------------------------------------------------------------
// GB_Asaxpy5B: C += A*B when C is full, A is bitmap/full, B is sparse/hyper
//------------------------------------------------------------------------------
#if !GB_DISABLE && !GB_A_IS_PATTERN
m4_divert(if_semiring_has_avx)
//----------------------------------------------------------------------
// saxpy5 method with vectors of length 8 for double, 16 for single
//----------------------------------------------------------------------
// AVX512F: vector registers are 512 bits, or 64 bytes, which can hold
// 16 floats or 8 doubles.
#define GB_V16_512 (16 * GB_Z_NBITS <= 512)
#define GB_V8_512 ( 8 * GB_Z_NBITS <= 512)
#define GB_V4_512 ( 4 * GB_Z_NBITS <= 512)
#define GB_V16 GB_V16_512
#define GB_V8 GB_V8_512
#define GB_V4 GB_V4_512
#if GB_COMPILER_SUPPORTS_AVX512F && GB_V4_512
GB_TARGET_AVX512F static inline void GB_AxB_saxpy5_unrolled_avx512f
(
GrB_Matrix C,
const GrB_Matrix A,
const GrB_Matrix B,
const int ntasks,
const int nthreads,
const int64_t *B_slice
)
{
#include "mxm/template/GB_AxB_saxpy5_unrolled.c"
}
#endif
//----------------------------------------------------------------------
// saxpy5 method with vectors of length 4 for double, 8 for single
//----------------------------------------------------------------------
// AVX2: vector registers are 256 bits, or 32 bytes, which can hold
// 8 floats or 4 doubles.
#define GB_V16_256 (16 * GB_Z_NBITS <= 256)
#define GB_V8_256 ( 8 * GB_Z_NBITS <= 256)
#define GB_V4_256 ( 4 * GB_Z_NBITS <= 256)
#undef GB_V16
#undef GB_V8
#undef GB_V4
#define GB_V16 GB_V16_256
#define GB_V8 GB_V8_256
#define GB_V4 GB_V4_256
#if GB_COMPILER_SUPPORTS_AVX2 && GB_V4_256
GB_TARGET_AVX2 static inline void GB_AxB_saxpy5_unrolled_avx2
(
GrB_Matrix C,
const GrB_Matrix A,
const GrB_Matrix B,
const int ntasks,
const int nthreads,
const int64_t *B_slice
)
{
#include "mxm/template/GB_AxB_saxpy5_unrolled.c"
}
#endif
m4_divert(if_saxpy5_enabled)
//----------------------------------------------------------------------
// saxpy5 method unrolled, with no vectors
//----------------------------------------------------------------------
#undef GB_V16
#undef GB_V8
#undef GB_V4
#define GB_V16 0
#define GB_V8 0
#define GB_V4 0
static inline void GB_AxB_saxpy5_unrolled_vanilla
(
GrB_Matrix C,
const GrB_Matrix A,
const GrB_Matrix B,
const int ntasks,
const int nthreads,
const int64_t *B_slice
)
{
#include "mxm/template/GB_AxB_saxpy5_unrolled.c"
}
#endif
GrB_Info GB (_Asaxpy5B)
(
GrB_Matrix C,
const GrB_Matrix A,
const GrB_Matrix B,
const int ntasks,
const int nthreads,
const int64_t *B_slice
)
{
#if GB_DISABLE
return (GrB_NO_VALUE) ;
#else
#include "mxm/factory/GB_AxB_saxpy5_meta.c"
return (GrB_SUCCESS) ;
#endif
}
m4_divert(0)
//------------------------------------------------------------------------------
// GB_Asaxpy3B: C=A*B, C<M>=A*B, C<!M>=A*B: saxpy method (Gustavson + Hash)
//------------------------------------------------------------------------------
GrB_Info GB (_Asaxpy3B)
(
GrB_Matrix C, // C<any M>=A*B, C sparse or hypersparse
const GrB_Matrix M, const bool Mask_comp, const bool Mask_struct,
const bool M_in_place,
const GrB_Matrix A,
const GrB_Matrix B,
GB_saxpy3task_struct *restrict SaxpyTasks,
const int ntasks, const int nfine, const int nthreads, const int do_sort,
GB_Werk Werk
)
{
#if GB_DISABLE
return (GrB_NO_VALUE) ;
#else
ASSERT (GB_IS_SPARSE (C) || GB_IS_HYPERSPARSE (C)) ;
if (M == NULL)
{
// C = A*B, no mask
return (GB (_Asaxpy3B_noM) (C, A, B,
SaxpyTasks, ntasks, nfine, nthreads, do_sort, Werk)) ;
}
else if (!Mask_comp)
{
// C<M> = A*B
return (GB (_Asaxpy3B_M) (C,
M, Mask_struct, M_in_place, A, B,
SaxpyTasks, ntasks, nfine, nthreads, do_sort, Werk)) ;
}
else
{
// C<!M> = A*B
return (GB (_Asaxpy3B_notM) (C,
M, Mask_struct, M_in_place, A, B,
SaxpyTasks, ntasks, nfine, nthreads, do_sort, Werk)) ;
}
#endif
}
//------------------------------------------------------------------------------
// GB_Asaxpy3B_M: C<M>=A*B: saxpy method (Gustavson + Hash)
//------------------------------------------------------------------------------
#if ( !GB_DISABLE )
GrB_Info GB (_Asaxpy3B_M)
(
GrB_Matrix C, // C<M>=A*B, C sparse or hypersparse
const GrB_Matrix M, const bool Mask_struct,
const bool M_in_place,
const GrB_Matrix A,
const GrB_Matrix B,
GB_saxpy3task_struct *restrict SaxpyTasks,
const int ntasks, const int nfine, const int nthreads,
const int do_sort,
GB_Werk Werk
)
{
int nthreads_max = GB_Context_nthreads_max ( ) ;
double chunk = GB_Context_chunk ( ) ;
if (GB_IS_SPARSE (A) && GB_IS_SPARSE (B))
{
// both A and B are sparse
#define GB_META16
#define GB_NO_MASK 0
#define GB_MASK_COMP 0
#define GB_A_IS_SPARSE 1
#define GB_A_IS_HYPER 0
#define GB_A_IS_BITMAP 0
#define GB_A_IS_FULL 0
#define GB_B_IS_SPARSE 1
#define GB_B_IS_HYPER 0
#define GB_B_IS_BITMAP 0
#define GB_B_IS_FULL 0
#include "mxm/include/GB_meta16_definitions.h"
#include "mxm/template/GB_AxB_saxpy3_template.c"
}
else
{
// general case
#undef GB_META16
#define GB_NO_MASK 0
#define GB_MASK_COMP 0
#include "mxm/include/GB_meta16_definitions.h"
#include "mxm/template/GB_AxB_saxpy3_template.c"
}
return (GrB_SUCCESS) ;
}
#endif
//------------------------------------------------------------------------------
// GB_Asaxpy3B_noM: C=A*B: saxpy method (Gustavson + Hash)
//------------------------------------------------------------------------------
#if ( !GB_DISABLE )
GrB_Info GB (_Asaxpy3B_noM)
(
GrB_Matrix C, // C=A*B, C sparse or hypersparse
const GrB_Matrix A,
const GrB_Matrix B,
GB_saxpy3task_struct *restrict SaxpyTasks,
const int ntasks, const int nfine, const int nthreads,
const int do_sort,
GB_Werk Werk
)
{
int nthreads_max = GB_Context_nthreads_max ( ) ;
double chunk = GB_Context_chunk ( ) ;
if (GB_IS_SPARSE (A) && GB_IS_SPARSE (B))
{
// both A and B are sparse
#define GB_META16
#define GB_NO_MASK 1
#define GB_MASK_COMP 0
#define GB_A_IS_SPARSE 1
#define GB_A_IS_HYPER 0
#define GB_A_IS_BITMAP 0
#define GB_A_IS_FULL 0
#define GB_B_IS_SPARSE 1
#define GB_B_IS_HYPER 0
#define GB_B_IS_BITMAP 0
#define GB_B_IS_FULL 0
#include "mxm/include/GB_meta16_definitions.h"
#include "mxm/template/GB_AxB_saxpy3_template.c"
}
else
{
// general case
#undef GB_META16
#define GB_NO_MASK 1
#define GB_MASK_COMP 0
#include "mxm/include/GB_meta16_definitions.h"
#include "mxm/template/GB_AxB_saxpy3_template.c"
}
return (GrB_SUCCESS) ;
}
#endif
//------------------------------------------------------------------------------
// GB_Asaxpy3B_notM: C<!M>=A*B: saxpy method (Gustavson + Hash)
//------------------------------------------------------------------------------
#if ( !GB_DISABLE )
GrB_Info GB (_Asaxpy3B_notM)
(
GrB_Matrix C, // C<!M>=A*B, C sparse or hypersparse
const GrB_Matrix M, const bool Mask_struct,
const bool M_in_place,
const GrB_Matrix A,
const GrB_Matrix B,
GB_saxpy3task_struct *restrict SaxpyTasks,
const int ntasks, const int nfine, const int nthreads,
const int do_sort,
GB_Werk Werk
)
{
int nthreads_max = GB_Context_nthreads_max ( ) ;
double chunk = GB_Context_chunk ( ) ;
if (GB_IS_SPARSE (A) && GB_IS_SPARSE (B))
{
// both A and B are sparse
#define GB_META16
#define GB_NO_MASK 0
#define GB_MASK_COMP 1
#define GB_A_IS_SPARSE 1
#define GB_A_IS_HYPER 0
#define GB_A_IS_BITMAP 0
#define GB_A_IS_FULL 0
#define GB_B_IS_SPARSE 1
#define GB_B_IS_HYPER 0
#define GB_B_IS_BITMAP 0
#define GB_B_IS_FULL 0
#include "mxm/include/GB_meta16_definitions.h"
#include "mxm/template/GB_AxB_saxpy3_template.c"
}
else
{
// general case
#undef GB_META16
#define GB_NO_MASK 0
#define GB_MASK_COMP 1
#include "mxm/include/GB_meta16_definitions.h"
#include "mxm/template/GB_AxB_saxpy3_template.c"
}
return (GrB_SUCCESS) ;
}
#endif
#else
GB_EMPTY_PLACEHOLDER
#endif
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