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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@author Azzam Haidar
@author Ahmad Abdelfattah
*/
#include "magma_internal.h"
#ifdef __cplusplus
extern "C" {
#endif
// Definition of blocking sizes for NVIDIA cards
#if defined(MAGMA_HAVE_CUDA) || defined(MAGMA_HAVE_HIP)
// =============================================================================
/// @addtogroup magma_tuning
/// @{
// auxiliary function to determine the limit of use for the specialized batch gemm
// kernel on small square sizes (transpositions do not matter for this kernel)
// helper function - intended for internal use only
magma_int_t magma_get_zgemm_batched_smallsq_limit(magma_int_t n)
{
magma_int_t arch = magma_getdevice_arch();
if (arch <= 300) return 22;
else if (arch <= 600) return 28;
else if (arch <= 700) return 27;
else return 16;
}
/******************************************************************************/
/// @see magma_get_zgemm_batched_smallsq_limit
magma_int_t magma_get_cgemm_batched_smallsq_limit(magma_int_t n)
{
magma_int_t arch = magma_getdevice_arch();
if (arch <= 300) return 22;
else if (arch <= 600) return 20;
else if (arch <= 700) return 20;
else return 16;
}
/******************************************************************************/
/// @see magma_get_zgemm_batched_smallsq_limit
magma_int_t magma_get_dgemm_batched_smallsq_limit(magma_int_t n)
{
magma_int_t arch = magma_getdevice_arch();
if (arch <= 300) return 23;
else if (arch <= 600) return 23;
else if (arch <= 700) return 22;
else return 16;
}
/******************************************************************************/
/// @see magma_get_zgemm_batched_smallsq_limit
magma_int_t magma_get_sgemm_batched_smallsq_limit(magma_int_t n)
{
magma_int_t arch = magma_getdevice_arch();
if (arch <= 300) return 29;
else if (arch <= 600) return 31;
else if (arch <= 700) return 27;
else return 16;
}
// =============================================================================
/// @addtogroup magma_tuning
/// @{
// Advisory functions used to determine if cuBLAS should be used for batched gemm
// Decision is based on the dimensions and the shape
// Two cuBLAS-based alternatives are used (batched vs streamed)
// Decisions are based on tuning experiments conducted on Kepler K40c (bunsen).
// helper function - intended for internal use only
magma_int_t magma_get_gemm_shape(magma_trans_t transA, magma_trans_t transB)
{
magma_int_t shape = -1;
if (transA == MagmaNoTrans && transB == MagmaNoTrans) { shape = 0; } // nn
else if (transA == MagmaNoTrans && transB == MagmaTrans) { shape = 1; } // nt
else if (transA == MagmaNoTrans && transB == MagmaConjTrans) { shape = 2; } // nc
else if (transA == MagmaTrans && transB == MagmaNoTrans) { shape = 3; } // tn
else if (transA == MagmaTrans && transB == MagmaTrans) { shape = 4; } // tt
else if (transA == MagmaTrans && transB == MagmaConjTrans) { shape = 5; } // tc
else if (transA == MagmaConjTrans && transB == MagmaNoTrans) { shape = 6; } // cn
else if (transA == MagmaConjTrans && transB == MagmaTrans) { shape = 7; } // ct
else if (transA == MagmaConjTrans && transB == MagmaConjTrans) { shape = 8; } // cc
return shape;
}
/***************************************************************************//**
Decides which is better (magma or cublas_batched),
regardless of the performance of cublas stream
@return true (1) to use cuBLAS batched gemm
@return false (0) to use MAGMA batched gemm
*******************************************************************************/
magma_int_t magma_srecommend_cublas_gemm_batched(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_batched = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
case 0: // nn
{
use_cublas_gemm_batched = (magma_int_t) ( ( !( k == 8 && n == 24 ) ) // ! (k == 8, n == 24)
&& ( !( k == 32 ) ) // ! k == 32
);
}
break;
case 1: // nt
case 2: // nc
{
use_cublas_gemm_batched = (magma_int_t) ( ( !( k == 8 && n == 24 ) ) // ! (k == 8, n == 24)
&& ( !( k == 32 ) ) // ! k == 32
);
}
break;
case 3: // tn
case 6: // cn
{
use_cublas_gemm_batched = (magma_int_t) ( ( !( k == 8 && n == 24 ) ) // ! (k == 8, n == 24)
&& ( ( k < 32 ) ) // k < 32
);
}
break;
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_batched = (magma_int_t) ( ( !( k == 8 && n == 24 ) ) // ! (k == 8, n == 24)
&& ( !( k == 32 ) ) // ! k == 32
);
}
break;
default:;
}
return use_cublas_gemm_batched;
}
/******************************************************************************/
/// @see magma_srecommend_cublas_gemm_batched
magma_int_t magma_drecommend_cublas_gemm_batched(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_batched = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
// fall back to cublas, since it is very optimized in general
// TODO: revisit tuning for other shapes, especially small sizes
case 0: // nn
case 1: // nt
case 2: // nc
case 3: // tn
case 6: // cn
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_batched = 1;
}
break;
default:;
}
//printf("decision ==========================================================================> m%4d n%4d k%4d for cublas %d\n",m,n,k,use_cublas_gemm_batched);
return use_cublas_gemm_batched;
}
/******************************************************************************/
/// @see magma_srecommend_cublas_gemm_batched
magma_int_t magma_crecommend_cublas_gemm_batched(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_batched = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
case 0: // nn
{
use_cublas_gemm_batched = (magma_int_t) ( ( !( k == 8 && n == 24 ) ) // ! (k == 8, n == 24)
&& ( ( k < 32 ) ) // k < 32
);
}
break;
case 1: // nt
case 2: // nc
{
// No cublas batched for this case
use_cublas_gemm_batched = 0;
}
break;
case 3: // tn
case 6: // cn
{
use_cublas_gemm_batched = (magma_int_t) ( ( k == 16 && n == 16 ) // k == 16, n == 16
);
}
break;
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_batched = (magma_int_t) ( ( !( k == 8 && n == 24 ) ) // ! (k == 8, n == 24)
&& ( ( k < 32 ) ) // k < 32
);
}
break;
default:;
}
return use_cublas_gemm_batched;
}
/******************************************************************************/
/// @see magma_srecommend_cublas_gemm_batched
magma_int_t magma_zrecommend_cublas_gemm_batched(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_batched = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
case 0: // nn
{
use_cublas_gemm_batched = 1;
}
break;
case 1: // nt
case 2: // nc
{
use_cublas_gemm_batched = 1;
}
break;
case 3: // tn
case 6: // cn
{
use_cublas_gemm_batched = (magma_int_t) (k < 32 ); // k < 32
}
break;
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_batched = 1;
}
break;
default:;
}
return use_cublas_gemm_batched;
}
/***************************************************************************//**
Decides if cublas stream should be used for a given gemm dimension/shape
@return true (1) to use cuBLAS gemm (non-batched) with multiple streams.
@return false (0) to use batched gemm
*******************************************************************************/
magma_int_t magma_srecommend_cublas_gemm_stream(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_stream = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
case 0: // nn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 32 && k <= 64 ) && (m >= 224 ) ) // k == 64, m >= 224
|| ( (k >= 128 ) && (m >= 160 ) ) // k >= 128
);
}
break;
case 1: // nt
case 2: // nc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 32 && k <= 64 ) && (m >= 224 && m < 512) ) // k == 64, m == 224:512
|| ( (k >= 128 ) && (m >= 224 ) ) // k >= 128, m >= 224
);
}
break;
case 3: // tn
case 6: // cn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 32 && k <= 64 ) && (m >= 192 && m < 512) ) // k == 64, m == 192:512
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 224
);
}
break;
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 32 && k <= 64 ) && (m >= 192 && m < 512) ) // k == 64, m == 192:512
|| ( (k >= 128 ) && (m >= 160 ) ) // k >= 128, m >= 224
);
}
break;
default:;
}
return use_cublas_gemm_stream;
}
/******************************************************************************/
/// @see magma_srecommend_cublas_gemm_stream
magma_int_t magma_drecommend_cublas_gemm_stream(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_stream = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
case 0: // nn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 32 && k <= 64 ) && (m >= 192 ) ) // k == 64, m >= 192
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 1: // nt
case 2: // nc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 32 && k <= 64 ) && (m >= 160 ) ) // k == 64, m >= 160
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 3: // tn
case 6: // cn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 256 ) ) // k == 32, m >= 256
|| ( (k > 32 && k <= 64 ) && (m >= 192 ) ) // k == 64, m >= 192
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 192 ) ) // k == 32, m >= 192
|| ( (k > 32 && k <= 64 ) && (m >= 160 ) ) // k == 64, m >= 160
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
default:;
}
return use_cublas_gemm_stream;
}
/******************************************************************************/
/// @see magma_srecommend_cublas_gemm_stream
magma_int_t magma_crecommend_cublas_gemm_stream(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_stream = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
case 0: // nn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 192 ) ) // k == 32, m >= 192
|| ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 1: // nt
case 2: // nc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 192 ) ) // k == 32, m >= 192
|| ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 3: // tn
case 6: // cn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 192 ) ) // k == 32, m >= 192
|| ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
default:;
}
return use_cublas_gemm_stream;
}
/******************************************************************************/
/// @see magma_srecommend_cublas_gemm_stream
magma_int_t magma_zrecommend_cublas_gemm_stream(
magma_trans_t transa, magma_trans_t transb,
magma_int_t m, magma_int_t n, magma_int_t k)
{
magma_int_t use_cublas_gemm_stream = 0;
magma_int_t shape = magma_get_gemm_shape(transa, transb);
switch(shape)
{
case 0: // nn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 160 ) ) // k == 32, m >= 160
|| ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 64 ) ) // k >= 128, m >= 64
);
}
break;
case 1: // nt
case 2: // nc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 128 ) ) // k == 32, m >= 128
|| ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 3: // tn
case 6: // cn
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 128 ) ) // k == 32, m >= 128
|| ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
case 4: // tt
case 5: // tc
case 7: // ct
case 8: // cc
{
use_cublas_gemm_stream = (magma_int_t) ( ( (k > 16 && k <= 32 ) && (m >= 128 ) ) // k == 32, m >= 128
|| ( (k > 32 && k <= 64 ) && (m >= 128 ) ) // k == 64, m >= 128
|| ( (k >= 128 ) && (m >= 128 ) ) // k >= 128, m >= 128
);
}
break;
default:;
}
return use_cublas_gemm_stream;
}
// =============================================================================
/// @}
// end group magma_tuning
#endif // MAGMA_HAVE_CUDA
#ifdef __cplusplus
} // extern "C"
#endif
|
