| | import os |
| |
|
| | import numpy |
| | from numpy import linalg |
| |
|
| | import cupy |
| | import cupy._util |
| | from cupy import _core |
| | import cupyx |
| |
|
| |
|
| | _default_precision = os.getenv('CUPY_DEFAULT_PRECISION') |
| |
|
| |
|
| | |
| |
|
| | def _assert_cupy_array(*arrays): |
| | for a in arrays: |
| | if not isinstance(a, cupy._core.ndarray): |
| | raise linalg.LinAlgError( |
| | 'cupy.linalg only supports cupy.ndarray') |
| |
|
| |
|
| | def _assert_2d(*arrays): |
| | for a in arrays: |
| | if a.ndim != 2: |
| | raise linalg.LinAlgError( |
| | '{}-dimensional array given. Array must be ' |
| | 'two-dimensional'.format(a.ndim)) |
| |
|
| |
|
| | def _assert_stacked_2d(*arrays): |
| | for a in arrays: |
| | if a.ndim < 2: |
| | raise linalg.LinAlgError( |
| | '{}-dimensional array given. Array must be ' |
| | 'at least two-dimensional'.format(a.ndim)) |
| |
|
| |
|
| | def _assert_stacked_square(*arrays): |
| | """Assert that stacked matrices are square matrices |
| | |
| | Precondition: `arrays` are at least 2d. The caller should assert it |
| | beforehand. For example, |
| | |
| | >>> def det(a): |
| | ... _assert_stacked_2d(a) |
| | ... _assert_stacked_square(a) |
| | ... ... |
| | |
| | """ |
| |
|
| | for a in arrays: |
| | m, n = a.shape[-2:] |
| | if m != n: |
| | raise linalg.LinAlgError( |
| | 'Last 2 dimensions of the array must be square') |
| |
|
| |
|
| | def linalg_common_type(*arrays, reject_float16=True): |
| | """Common type for linalg |
| | |
| | The logic is intended to be equivalent with |
| | `numpy.linalg.linalg._commonType`. |
| | The differences from `numpy.common_type` are |
| | - to accept ``bool_`` arrays, and |
| | - to reject ``float16`` arrays. |
| | |
| | Args: |
| | *arrays (ndarray): Input arrays. |
| | reject_float16 (bool): Flag to follow NumPy to raise TypeError for |
| | ``float16`` inputs. |
| | |
| | Returns: |
| | compute_dtype (dtype): The precision to be used in linalg calls. |
| | result_dtype (dtype): The dtype of (possibly complex) output(s). |
| | """ |
| | dtypes = [arr.dtype for arr in arrays] |
| | if reject_float16 and 'float16' in dtypes: |
| | raise TypeError('float16 is unsupported in linalg') |
| |
|
| | if _default_precision is not None: |
| | cupy._util.experimental('CUPY_DEFAULT_PRECISION') |
| | if _default_precision not in ('32', '64'): |
| | raise ValueError( |
| | 'invalid CUPY_DEFAULT_PRECISION: {}'.format( |
| | _default_precision)) |
| | default = 'float' + _default_precision |
| | else: |
| | default = 'float64' |
| | compute_dtype = _common_type_internal(default, *dtypes) |
| | |
| | if compute_dtype == 'float16': |
| | compute_dtype = numpy.dtype('float32') |
| |
|
| | |
| | result_dtype = _common_type_internal('float64', *dtypes) |
| |
|
| | return compute_dtype, result_dtype |
| |
|
| |
|
| | def _common_type_internal(default_dtype, *dtypes): |
| | inexact_dtypes = [ |
| | dtype if dtype.kind in 'fc' else default_dtype |
| | for dtype in dtypes] |
| | return numpy.result_type(*inexact_dtypes) |
| |
|
| |
|
| | def _check_cusolver_dev_info_if_synchronization_allowed(routine, dev_info): |
| | |
| | |
| | |
| | assert isinstance(dev_info, _core.ndarray) |
| | config_linalg = cupyx._ufunc_config.get_config_linalg() |
| | |
| | if config_linalg == 'ignore': |
| | return |
| |
|
| | try: |
| | name = routine.__name__ |
| | except AttributeError: |
| | name = routine |
| |
|
| | assert config_linalg == 'raise' |
| | if (dev_info != 0).any(): |
| | raise linalg.LinAlgError( |
| | 'Error reported by {} in cuSOLVER. devInfo = {}. Please refer' |
| | ' to the cuSOLVER documentation.'.format( |
| | name, dev_info)) |
| |
|
| |
|
| | def _check_cublas_info_array_if_synchronization_allowed(routine, info_array): |
| | |
| | |
| | |
| | assert isinstance(info_array, _core.ndarray) |
| | assert info_array.ndim == 1 |
| |
|
| | config_linalg = cupyx._ufunc_config.get_config_linalg() |
| | |
| | if config_linalg == 'ignore': |
| | return |
| |
|
| | assert config_linalg == 'raise' |
| | if (info_array != 0).any(): |
| | raise linalg.LinAlgError( |
| | 'Error reported by {} in cuBLAS. infoArray/devInfoArray = {}.' |
| | ' Please refer to the cuBLAS documentation.'.format( |
| | routine.__name__, info_array)) |
| |
|
| |
|
| | _tril_kernel = _core.ElementwiseKernel( |
| | 'int64 k', 'S x', |
| | 'x = (_ind.get()[1] - _ind.get()[0] <= k) ? x : 0', |
| | 'cupy_tril_kernel', |
| | reduce_dims=False |
| | ) |
| |
|
| |
|
| | def _tril(x, k=0): |
| | _tril_kernel(k, x) |
| | return x |
| |
|
| |
|
| | |
| | _triu_kernel = _core.ElementwiseKernel( |
| | 'int64 k', 'S x', |
| | 'x = (_ind.get()[_ind.ndim - 1] - _ind.get()[_ind.ndim - 2] >= k) ? x : 0', |
| | 'cupy_triu_kernel', |
| | reduce_dims=False |
| | ) |
| |
|
| |
|
| | def _triu(x, k=0): |
| | _triu_kernel(k, x) |
| | return x |
| |
|
| |
|
| | def stacked_identity(batch_shape, n, dtype): |
| | shape = batch_shape + (n, n) |
| | idx = cupy.arange(n) |
| | x = cupy.zeros(shape, dtype) |
| | x[..., idx, idx] = 1 |
| | return x |
| |
|
| |
|
| | def stacked_identity_like(x): |
| | """ |
| | Precondition: ``x`` is `cupy.ndarray` of shape ``(..., N, N)`` |
| | """ |
| | n = x.shape[-1] |
| | idx = cupy.arange(n) |
| | x = cupy.zeros_like(x) |
| | x[..., idx, idx] = 1 |
| | return x |
| |
|