| options | dim | b-width $$
$$ \{-3,\quad1,\quad\cdot,\quad\cdot\} $$
$$ \{4,\ 0,\ \ldots\} $$
## BLAS-like implementation
1 void add blas(
2 size_t rows, size_t cols,
3 const float* lhs, size_t lhsRowStride,
4 const free function linear algebra interface based on the BLAS”
which is based on std::mdspan.
## What do we have in the proposal?
// [linalg.algs.blas1.add], add elementwise
template 0 码力 |
75 页 |
1.04 MB
| 1 年前 3 separate the concerns of the hardware/library/application designers.
1979: BLAS
Basic Linear Algebra Subprograms (BLAS 2 '88, BLAS 3 '90)
2001: Sparse BLAS an extension to BLAS (little uptake)
2001: Sparse BLAS an extension to BLAS (little uptake)
2013: GraphBLAS an effort to 0 码力 |
172 页 |
7.40 MB
| 1 年前 3 matrices (AbstractQ) 1233
78.4 Standard functions 1235
78.5 Low-level matrix operations 1330
78.6 BLAS functions 1336
78.7 LAPACK functions 1346
79 Logging 1362
79.1 Log event structure 1363 memory with fixed strides. Provided the element type of the array is compatible with BLAS, a strided array can utilize BLAS and LAPACK.
routines for more efficient linear algebra routines. A typical example A stride array with a supported element type may be passed to an external (non-Julia) library like BLAS or LAPACK by simply passing its pointer and the stride for each dimension. The stride(A, d) is the 0 码力 |
1691 页 |
5.99 MB
| 2 年前 3 matrices (AbstractQ) 1232
78.4 Standard functions 1234
78.5 Low-level matrix operations 1329
78.6 BLAS functions 1335
78.7 LAPACK functions 1345
79 Logging 1361
79.1 Log event structure 1362 memory with fixed strides. Provided the element type of the array is compatible with BLAS, a strided array can utilize BLAS and LAPACK.
routines for more efficient linear algebra routines. A typical example A stride array with a supported element type may be passed to an external (non-Julia) library like BLAS or LAPACK by simply passing its pointer and the stride for each dimension. The stride(A, d) is the 0 码力 |
1692 页 |
6.33 MB
| 2 年前 3 matrices (Abstract) 1232
77.4 Standard functions 1234
77.5 Low-level matrix operations 1329
77.6 BLAS functions 1334
77.7 LAPACK functions 1345
78 Logging 1361
78.1 Log event structure 1362
78 memory with fixed strides. Provided the element type of the array is compatible with BLAS, a strided array can utilize BLAS and LAPACK.
routines for more efficient linear algebra routines. A typical example strided array with a supported element type may be passed to an external (non-Julia) library like BLAS or LAPACK by simply passing its pointer and the stride for each dimension. The stride(A, d) is the 0 码力 |
1692 页 |
6.34 MB
| 1 年前 3 .. 1202
77.3 Standard functions ..... 1202
77.4 Low-level matrix operations ..... 1295
77.5 BLAS functions ..... 1300
77.6 LAPACK functions ..... 1311
78 Logging ..... 1326
78.1 Log event structure memory with fixed strides. Provided the element type of the array is compatible with BLAS, a strided array can utilize BLAS and LAPACK.
routines for more efficient linear algebra routines. A typical example strided array with a supported element type may be passed to an external (non-Julia) library like BLAS or LAPACK by simply passing its pointer and the stride for each dimension. The stride(A, d) is the 0 码力 |
1644 页 |
5.27 MB
| 2 年前 3 .. 1202
77.3 Standard functions ..... 1202
77.4 Low-level matrix operations ..... 1295
77.5 BLAS functions ..... 1300
77.6 LAPACK functions ..... 1311
78 Logging ..... 1326
78.1 Log event structure memory with fixed strides. Provided the element type of the array is compatible with BLAS, a strided array can utilize BLAS and LAPACK.
routines for more efficient linear algebra routines. A typical example strided array with a supported element type may be passed to an external (non-Julia) library like BLAS or LAPACK by simply passing its pointer and the stride for each dimension. The stride(A, d) is the 0 码力 |
1644 页 |
5.27 MB
| 2 年前 3 . . . . . . . . . . . . . . . .
1037
83.5 BLAS Func�ons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1042
BLAS Character Arguments . . . . . . . . . . . . (#32534)
Libdl
• dlopen() can now be invoked in do-block syntax, similar to open().
LinearAlgebra
• The BLAS submodule no longer exports dot, which conflicts with that in LinearAlgebra (#31838).
• diagm and memory with fixed strides. Provided the
element type of the array is compa�ble with BLAS, a strided array can u�lize BLAS and LAPACK rou�nes for more
efficient linear algebra rou�nes. A typical example of 0 码力 |
1274 页 |
4.36 MB
| 2 年前 3
|
Linear Algebra Coming to Standard C++layers std::linalg builds on the C++ Standard Library std::linalg builds on the long history of the BLAS Detailed example: Cholesky matrix factorization # Motivating example: Updating matrix multiply based on the BLAS Basic Linear Algebra Subroutines • BLAS is a standard Fortran & C library • Standard embraced by industry, labs, & academia • Many system vendors have optimized BLAS • e.g., AMD AMD, ARM, Cray, IBM, Intel, NVIDIA, Xilinx • Can implement std::linalg by calling BLAS • If types permit, else fall back to generic C++ • "Based on": • Same set of algorithms • Same design0 码力 | 46 页 | 2.95 MB | 1 年前3