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add some more math mode
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sandro-elsweijer committed Sep 4, 2023
1 parent c383f88 commit 4515940
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Showing 7 changed files with 14 additions and 14 deletions.
4 changes: 2 additions & 2 deletions src/t8_geometry/t8_geometry_base.hxx
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Expand Up @@ -73,8 +73,8 @@ struct t8_geometry
* \param [in] cmesh The cmesh in which the point lies.
* \param [in] glreeid The global tree (of the cmesh) in which the reference point is.
* \param [in] ref_coords Array of \a dimension many entries, specifying a point in \f$ [0,1]^\mathrm{dim} \f$.
* \param [out] jacobian The jacobian at \a ref_coords. Array of size dimension x 3. Indices 3*i, 3*i+1, 3*i+2
* correspond to the i-th column of the jacobian (Entry 3*i + j is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \param [out] jacobian The jacobian at \a ref_coords. Array of size \f$ \mathrm{dim} \cdot 3 \f$. Indices \f$ 3 \cdot i\f$ , \f$ 3 \cdot i+1 \f$ , \f$ 3 \cdot i+2 \f$
* correspond to the \f$ i \f$-th column of the jacobian (Entry \f$ 3 \cdot i + j \f$ is \f$ \frac{\partial f_j}{\partial x_i} \f$).
*/
virtual void
t8_geom_evaluate_jacobian (t8_cmesh_t cmesh, t8_gloidx_t gtreeid, const double *ref_coords, double *jacobian) const
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Expand Up @@ -100,8 +100,8 @@ struct t8_geometry_analytic: public t8_geometry
* \param [in] cmesh The cmesh in which the point lies.
* \param [in] gtreeid The global tree (of the cmesh) in which the reference point is.
* \param [in] ref_coords Array of \a dimension many entries, specifying a point in \f$ [0,1]^\mathrm{dim} \f$.
* \param [out] jacobian The jacobian at \a ref_coords. Array of size dimension x 3. Indices 3*i, 3*i+1, 3*i+2
* correspond to the i-th column of the jacobian (Entry 3*i + j is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \param [out] jacobian The jacobian at \a ref_coords. Array of size \f$ \mathrm{dim} \cdot 3 \f$. Indices \f$ 3 \cdot i\f$ , \f$ 3 \cdot i+1 \f$ , \f$ 3 \cdot i+2 \f$
* correspond to the \f$ i \f$-th column of the jacobian (Entry \f$ 3 \cdot i + j \f$ is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \note The jacobian will be
* (1) (1 0) (1 0 0)
* dim 1: J = (0) dim 2: J = (0 1) dim 3: J = (0 1 0)
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Expand Up @@ -65,8 +65,8 @@ struct t8_geometry_linear: public t8_geometry_with_vertices
* \param [in] cmesh The cmesh in which the point lies.
* \param [in] gtreeid The global tree (of the cmesh) in which the reference point is.
* \param [in] ref_coords Array of \a dimension many entries, specifying a point in \f$ [0,1]^\mathrm{dim} \f$.
* \param [out] jacobian The jacobian at \a ref_coords. Array of size dimension x 3. Indices 3*i, 3*i+1, 3*i+2
* correspond to the i-th column of the jacobian (Entry 3*i + j is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \param [out] jacobian The jacobian at \a ref_coords. Array of size \f$ \mathrm{dim} \cdot 3 \f$. Indices \f$ 3 \cdot i\f$ , \f$ 3 \cdot i+1 \f$ , \f$ 3 \cdot i+2 \f$
* correspond to the \f$ i \f$-th column of the jacobian (Entry \f$ 3 \cdot i + j \f$ is \f$ \frac{\partial f_j}{\partial x_i} \f$).
*/
virtual void
t8_geom_evaluate_jacobian (t8_cmesh_t cmesh, t8_gloidx_t gtreeid, const double *ref_coords, double *jacobian) const;
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Expand Up @@ -62,8 +62,8 @@ t8_geometry_linear_axis_aligned::t8_geom_evaluate (t8_cmesh_t cmesh, t8_gloidx_t
* \param [in] cmesh The cmesh in which the point lies.
* \param [in] gtreeid The global tree (of the cmesh) in which the reference point is.
* \param [in] ref_coords Array of \a dimension many entries, specifying a point in \f$ [0,1]^\mathrm{dim} \f$.
* \param [out] jacobian The jacobian at \a ref_coords. Array of size dimension x 3. Indices 3*i, 3*i+1, 3*i+2
* correspond to the i-th column of the jacobian (Entry 3*i + j is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \param [out] jacobian The jacobian at \a ref_coords. Array of size \f$ \mathrm{dim} \cdot 3 \f$. Indices \f$ 3 \cdot i\f$ , \f$ 3 \cdot i+1 \f$ , \f$ 3 \cdot i+2 \f$
* correspond to the \f$ i \f$-th column of the jacobian (Entry \f$ 3 \cdot i + j \f$ is \f$ \frac{\partial f_j}{\partial x_i} \f$).
*/
/* *INDENT-OFF* */
/* indent adds second const */
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Expand Up @@ -71,8 +71,8 @@ struct t8_geometry_linear_axis_aligned: public t8_geometry_with_vertices
* \param [in] cmesh The cmesh in which the point lies.
* \param [in] gtreeid The global tree (of the cmesh) in which the reference point is.
* \param [in] ref_coords Array of \a dimension many entries, specifying a point in \f$ [0,1]^\mathrm{dim} \f$.
* \param [out] jacobian The jacobian at \a ref_coords. Array of size dimension x 3. Indices 3*i, 3*i+1, 3*i+2
* correspond to the i-th column of the jacobian (Entry 3*i + j is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \param [out] jacobian The jacobian at \a ref_coords. Array of size \f$ \mathrm{dim} \cdot 3 \f$. Indices \f$ 3 \cdot i\f$ , \f$ 3 \cdot i+1 \f$ , \f$ 3 \cdot i+2 \f$
* correspond to the \f$ i \f$-th column of the jacobian (Entry \f$ 3 \cdot i + j \f$ is \f$ \frac{\partial f_j}{\partial x_i} \f$).
*/
virtual void
t8_geom_evaluate_jacobian (t8_cmesh_t cmesh, t8_gloidx_t gtreeid, const double *ref_coords, double *jacobian) const;
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Expand Up @@ -112,8 +112,8 @@ struct t8_geometry_occ: public t8_geometry_with_vertices
* \param [in] cmesh The cmesh in which the point lies.
* \param [in] gtreeid The global tree (of the cmesh) in which the reference point is.
* \param [in] ref_coords Array of \a dimension many entries, specifying a point in \f$ [0,1]^\mathrm{dim} \f$.
* \param [out] jacobian The jacobian at \a ref_coords. Array of size dimension x 3. Indices 3*i, 3*i+1, 3*i+2
* correspond to the i-th column of the jacobian (Entry 3*i + j is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \param [out] jacobian The jacobian at \a ref_coords. Array of size \f$ \mathrm{dim} \cdot 3 \f$. Indices \f$ 3 \cdot i\f$ , \f$ 3 \cdot i+1 \f$ , \f$ 3 \cdot i+2 \f$
* correspond to the \f$ i \f$-th column of the jacobian (Entry \f$ 3 \cdot i + j \f$ is \f$ \frac{\partial f_j}{\partial x_i} \f$).
*/
virtual void
t8_geom_evaluate_jacobian (t8_cmesh_t cmesh, t8_gloidx_t gtreeid, const double *ref_coords, double *jacobian) const;
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Expand Up @@ -60,8 +60,8 @@ struct t8_geometry_zero: public t8_geometry
* \param [in] cmesh The cmesh in which the point lies.
* \param [in] gtreeid The global tree (of the cmesh) in which the reference point is.
* \param [in] ref_coords Array of \a dimension many entries, specifying a point in \f$ [0,1]^\mathrm{dim} \f$.
* \param [out] jacobian The jacobian at \a ref_coords. Array of size dimension x 3. Indices 3*i, 3*i+1, 3*i+2
* correspond to the i-th column of the jacobian (Entry 3*i + j is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \param [out] jacobian The jacobian at \a ref_coords. Array of size \f$ \mathrm{dim} \cdot 3 \f$. Indices \f$ 3 \cdot i\f$ , \f$ 3 \cdot i+1 \f$ , \f$ 3 \cdot i+2 \f$
* correspond to the \f$ i \f$-th column of the jacobian (Entry \f$ 3 \cdot i + j \f$ is \f$ \frac{\partial f_j}{\partial x_i} \f$).
* \note All entries in \a jacobian will be set to zero.
*/
virtual void
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