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[DFT] Correcting offset condition in consistency requirements for in-…
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…place transforms
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raphael-egan committed Oct 24, 2023
1 parent 204701e commit 1a2b133
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Expand Up @@ -139,7 +139,7 @@ backward domain). Equivalently,
- for descriptors such that the :ref:`assumed elemementary type<onemkl_dft_config_data_element_types>` is identical in forward and backward domains, the offset, stride(s) (and distances, if relevant) must be equal in forward and backward domain;
- for descriptors assuming :ref:`different elemementary types<onemkl_dft_config_data_element_types>` in forward and backward domain, let :math:`\beta` and :math:`\gamma` be the sizes of the :ref:`elementary data type assumed<onemkl_dft_config_data_element_types>` in forward and backward domain, respectively (:math:`\beta \neq \gamma`). Then,

- no offset may be used in either domain: :math:`s^{\text{fwd}}_{0} = s^{\text{bwd}}_{0} = 0`;
- offsets must satisfy :math:`\beta s^{\text{fwd}}_{0} = \gamma s^{\text{bwd}}_{0}`;
- if :math:`d > 1`, strides must satisfy :math:`\beta s^{\text{fwd}}_{j} = \gamma s^{\text{bwd}}_{j}, \forall 1 \leq j < d`;
- if :math:`M > 1`, distances must satisfy :math:`\beta l^{\text{fwd}} = \gamma l^{\text{bwd}}`.

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