From aa3d6ab569b6885d530d9e392c5ee2d6124fa105 Mon Sep 17 00:00:00 2001 From: abuts Date: Wed, 15 May 2024 10:37:55 +0100 Subject: [PATCH 01/16] Re #1686 Minor changes/bugfixtures to Cutting_data_of_interest_from_SQW_files_and_objects.rst (extracted from Re #1671) --- ...of_interest_from_SQW_files_and_objects.rst | 45 +++++++++---------- 1 file changed, 21 insertions(+), 24 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 3a82129cda..0cfbb0be46 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -6,15 +6,16 @@ Cutting data of interest from SQW files and objects .. |Q| replace:: :math:`|\textbf{Q}|` -Horace stores the data produced in a neutron experiment in a 4-D dataset -which are called the -"pixels". These represent the neutron events measured during an -experiment. The dataset also contains the rest of the full information about the experiment. +Horace stores all neutron events registered in a neutron experiment in a 1-D dataset +which is called the "pixels". The dataset is the major by size part of ``sqw`` object, which is +the main object Horace operates with. This object contains +full information about the results of the neutron experiment. -Horace also creates a 4-dimensional histogram (binned) of these "pixels" -represented in reciprocal space (``hkl-dE``) which we call the "image". This -carries only limited information about the original data, i.e. only the -averaged intensity over the bins remains. +Second by size part of ``sqw`` object is a 0 to 4-dimensional histogram (binning) +of the "pixels" in reciprocal space (``hkl-dE``) which we call the "image". +This carries only limited information about the original data, i.e. only the +averaged intensity over the reciprocal space bins. The "image" is the main part of +Horace's ``dnd`` object -- the second by importance Horace's object. .. note:: @@ -856,18 +857,16 @@ where: Spherical coordinate system used by ``sphere_proj`` -.. - TODO: Move into relevant developer documentation section - In practice, Horace uses Matlab methods ``cart2sph`` and ``sph2cart`` to convert an array of vectors expressed - in Cartesian coordinate system to spherical coordinate system and back. - The formulas, used by these methods together with the image of the used coordinate system are provided `on Matlab "cart2sph" help pages `_. - Matlab uses ``elevation`` angle which is related to :math:`\theta` angle used by Horace by relation: +In practice, Horace uses Matlab methods ``cart2sph`` and ``sph2cart`` to convert an array of vectors expressed +in Cartesian coordinate system to spherical coordinate system and back. +The formulas, used by these methods together with the image of the used coordinate system are provided `on Matlab "cart2sph" help pages `_. +Matlab uses ``elevation`` angle which is related to :math:`\theta` angle used by Horace by relation: :math:`\theta = 90-elevation` - ``azimuth`` angle form `Matlab help pages `_ - is equivalent to Horace :math:`\phi` angle. +``azimuth`` angle form `Matlab help pages `_ +is equivalent to Horace :math:`\phi` angle. .. note:: @@ -1214,15 +1213,13 @@ where: Cylindrical coordinate system used by ``cylinder_proj`` -.. - TODO: Move into relevant developer documentation section - Similarly to :ref:`fig_sphere_coodinates`, Horace uses Matlab methods - ``cart2pol``/``pol2cart`` to convert array of vectors expressed in Cartesian - coordinate system to cylindrical coordinate system and back. The formulas, - used by these methods together with the image of the used coordinate system - are provided `on Matlab "cart2pol" help pages - `_. +Similarly to :ref:`fig_sphere_coodinates`, Horace uses Matlab methods +``cart2pol``/``pol2cart`` to convert array of vectors expressed in Cartesian +coordinate system to cylindrical coordinate system and back. The formulas, +used by these methods together with the image of the used coordinate system +are provided `on Matlab "cart2pol" help pages +`_. .. note:: From a9a7db5be58dc2f2afeea588ad8cae9c22c794a6 Mon Sep 17 00:00:00 2001 From: abuts Date: Wed, 15 May 2024 12:10:52 +0100 Subject: [PATCH 02/16] Re #1686 Minor modifications and additional description of cut algorithm. --- ...of_interest_from_SQW_files_and_objects.rst | 218 ++++++------------ 1 file changed, 70 insertions(+), 148 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 0cfbb0be46..1c2c289895 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -6,16 +6,17 @@ Cutting data of interest from SQW files and objects .. |Q| replace:: :math:`|\textbf{Q}|` -Horace stores all neutron events registered in a neutron experiment in a 1-D dataset -which is called the "pixels". The dataset is the major by size part of ``sqw`` object, which is -the main object Horace operates with. This object contains -full information about the results of the neutron experiment. +Horace ``sqw`` object is the main object Horace operates with. +It contains full information about the results of a neutron experiment. +This information includes information about each neutron "event" registered +in the experiment which is stored in a 1-D dataset called the "pixels". +The dataset is usually the major by size part of ``sqw`` object. -Second by size part of ``sqw`` object is a 0 to 4-dimensional histogram (binning) +Another part of ``sqw`` object is a 0 to 4-dimensional histogram (binning) of the "pixels" in reciprocal space (``hkl-dE``) which we call the "image". This carries only limited information about the original data, i.e. only the -averaged intensity over the reciprocal space bins. The "image" is the main part of -Horace's ``dnd`` object -- the second by importance Horace's object. +averaged neutron intensity contributed into the reciprocal space bins. +The "image" is the main part of Horace's ``dnd`` object -- the second by importance Horace's object. .. note:: @@ -30,6 +31,12 @@ data, a user works with smaller objects, extracted from the full dataset using slice-o-matic), 2-d and 1-d cuts can be easily represented. - The entire dataset is often too large to fit in the memory of most computers. +.. note:: + + "pixels" in 1D dataset are arranged in such a way, that simple calculation allows + to identify "pixels" contributing into every bin of a ``sqw`` object's ``image``. + ``cut`` uses this information to extract relevant pixels and maintains + the arrangement between bins and "pixels" for resulting ``sqw`` object. cut === @@ -77,20 +84,14 @@ where: There are also several extra optional arguments which are: -- ``-nopix`` - - drop the "pixels" from the resulting object returning just the ``dnd`` binned +- ``-nopix`` drop the "pixels" from the resulting object returning just the ``dnd`` binned data (the "image"). This option is faster and the resulting object requires less memory, but is also more restricted in what you can do with the result. -- ``sym`` - - cell array of symmetry operations. For a full description of usage, :ref:`see +- ``sym`` cell array of symmetry operations. For a full description of usage, :ref:`see here `. -- ``filename`` - - if provided, uses file-backed algorithms to write the resulting object +- ``filename`` - if provided, uses file-backed algorithms to write the resulting object directly to a file named ``filename`` and return a file-backed ``sqw``. .. warning:: @@ -160,14 +161,9 @@ Each can independently have one of four different forms below. to ensure your cut is what you expect. -* ``[]`` - - An empty binning range will use the source binning axes in that dimension. - -* ``[step]`` - - A single (scalar) number defines a plot axis. +- ``[]`` An empty binning range will use the source binning axes in that dimension. +- ``[step]`` A single (scalar) number defines a plot axis. The bin width will be equal to the number you specify. The lower and upper limits will be from the source binning axes in that dimension. @@ -181,12 +177,10 @@ Each can independently have one of four different forms below. When changing projections e.g. ``line_proj`` to ``sphere_proj``, using either ``[]`` or ``[step]`` see, `changing projections`_ below. -* ``[lower,upper]`` +- ``[lower,upper]`` A vector with two components defines an integration axis. - A vector with two components defines an integration axis. - - The signal will be integrated over that axis between the limits specified by - the two components of the vector. + The signal will be integrated over that axis between the limits specified by + the two components of the vector. .. warning:: @@ -194,13 +188,11 @@ Each can independently have one of four different forms below. edges. For example, ``[-1 1]`` will capture pixels from ``-1`` to ``1`` inclusive. -* ``[lower,step,upper]`` - - A vector with three components defines a plot axis. +- ``[lower,step,upper]`` A vector with three components defines a plot axis. - The first ``lower`` and the last ``upper`` components specifying the centres - of the first and the last bins of the data to be cut. The middle component - specifies the bin width. + The first ``lower`` and the last ``upper`` components specifying the centres + of the first and the last bins of the data to be cut. The middle component + specifies the bin width. .. note :: @@ -214,28 +206,18 @@ Each can independently have one of four different forms below. 1]`` will capture pixels from ``-1.5`` to ``1.5`` inclusive. -* ``[lower, separation, upper, cut_width]`` - - A vector with four components defines **multiple** integration axes with +* ``[lower, separation, upper, cut_width]`` A vector with four components defines **multiple** integration axes with **multiple** integration limits in the selected direction. These components are: - * ``lower`` - - Position of the lowest cut bin-centre. - - * ``separation`` - - Distance between cut bin-centres. - - * ``upper`` + - ``lower`` Position of the lowest cut bin-centre. - Approximate (see :ref:`below `) position of highest cut bin-centre + - ``separation`` Distance between cut bin-centres. - * ``cut_width`` + - ``upper`` Approximate (see :ref:`below `) position of highest cut bin-centre - Width of each cut, centred on each bin-centre, thus extending one half-width + - ``cut_width`` Width of each cut, centred on each bin-centre, thus extending one half-width in both directions The number of cuts produced will be one more than the number of @@ -298,8 +280,8 @@ file. This file will not be a temporary file. memory. -Projection in more detail -------------------------- +Projection in more details +-------------------------- As mentioned in `Projection (proj)`_, the ``proj`` argument defines the coordinate system of the histogrammed image. @@ -324,22 +306,15 @@ The complete signature for ``line_proj`` is: .. code-block:: matlab - proj = line_proj(u, v[, w][, nonorthogonal][, type][, alatt, angdeg][, offset][, label][, title][, lab1][, lab2][, lab3][, lab4]); + proj = line_proj(u, v[,[],w][, nonorthogonal][, type][, alatt, angdeg][, offset][, label][, title][, lab1][, lab2][, lab3][, lab4]); Where: +- ``u`` 3-vector in reciprocal space :math:`(h,k,l)` specifying first viewing axis. -* ``u`` - - 3-vector in reciprocal space :math:`(h,k,l)` specifying first viewing axis. - -* ``v`` - - 3-vector in reciprocal space :math:`(h,k,l)` in the plane of the second viewing axis. - -* ``w`` +- ``v`` 3-vector in reciprocal space :math:`(h,k,l)` in the plane of the second viewing axis. - 3-vector of in reciprocal space :math:`(h,k,l)` of the third viewing axis. +- ``w`` 3-vector of in reciprocal space :math:`(h,k,l)` of the third viewing axis. .. note:: @@ -385,9 +360,7 @@ Where: .. _nonortho: -* ``nonorthogonal`` - - Whether lattice vectors are allowed to be non-orthogonal +- ``nonorthogonal`` Whether lattice vectors are allowed to be non-orthogonal .. note:: @@ -402,48 +375,34 @@ Where: the basis vectors are orthogonal, so features may be distorted (see `below <#non-orthogonal-axes>`_) . -* ``type`` - - Three character string denoting the the projection normalization of each of +- ``type`` Three character string denoting the the projection normalization of each of the three **Q**-axes, one character for each axis, e.g. ``'aaa'``, ``'rrr'``, ``'ppp'``. There are 3 possible options for each element of ``type``: - 1. ``'a'`` - - Inverse angstroms - - 2. ``'r'`` + 1. ``'a'`` Inverse angstroms - Reciprocal lattice units (r.l.u.) which normalises so that the maximum of + 2. ``'r'`` Reciprocal lattice units (r.l.u.) which normalises so that the maximum of :math:`|h|`, :math:`|k|` and :math:`|l|` is unity. - 3. ``'p'`` - - Preserve the values of ``u`` and ``v`` + 3. ``'p'`` Preserve the values of ``u`` and ``v`` For example, if we wanted the first two **Q**-components to be in r.l.u. and the third to be in inverse Angstroms we would have ``type = 'rra'``. -* ``alatt`` +- ``alatt`` 3-vector of lattice parameters. - 3-vector of lattice parameters. - -* ``angdeg`` - - 3-vector of lattice angles in degrees. +- ``angdeg`` 3-vector of lattice angles in degrees. .. note:: - In general, you should not need to define ``alatt`` or ``angdeg``; - by default they will be taken from the ``sqw`` object during a - ``cut``. However, there are cases where a projection object may - need to be reused elsewhere. - -* ``offset`` + In general, you should not need to define ``alatt`` or ``angdeg`` when doing a ``cut``. + They are taken from the ``sqw`` object during a + ``cut`` and your settings will be overridden. However, there are cases where a + projection object may need to be reused elsewhere. - 3-vector in :math:`(h,k,l)` or 4-vector in :math:`(h,k,l,e)` defining the +* ``offset`` 3-vector in :math:`(h,k,l)` or 4-vector in :math:`(h,k,l,e)` defining the origin of the projection coordinate system. For example you may wish to make the origin of all your plots :math:`[2,1,0]`, in which case set ``offset = [2,1,0]``. @@ -451,17 +410,11 @@ Where: .. _plotargs: -* ``label`` - - 4-element cell-array of captions for axes of plots. - -* ``title`` +* ``label`` 4-element cell-array of captions for axes of plots. - Plot title for cut result. +* ``title`` Plot title for cut result. -* ``lab[1-4]`` - - Individual components label (for historical reasons). +* ``lab[1-4]`` Individual components label (for historical reasons). .. note:: @@ -652,17 +605,13 @@ The complete signature for ``sphere_proj`` is: where: -- ``u`` - - The vector :math:`\vec{u}` is the reciprocal space vector defining the +- ``u`` The vector :math:`\vec{u}` is the reciprocal space vector defining the polar-axis of the spherical coordinate system from which :math:`\theta` is measured. See the :ref:`diagram below ` for details. -- ``v`` - - The vector :math:`\vec{v}` is the reciprocal space vector which defines the +- ``v`` The vector :math:`\vec{v}` is the reciprocal space vector which defines the second component of the :math:`u`-:math:`v` plane from which :math:`\phi` is measured. @@ -671,15 +620,8 @@ where: .. note:: The reciprocal space vectors :math:`u`-:math:`v` are not necessarily - orthogonal so the actual axis from which :math:`\phi` is measured lies in the - plane defined by :math:`u`-:math:`v` vectors, orthogonal to :math:`u`. - - -.. note:: - - The :math:`w` direction is not explicitly defined as part of the - ``sphere_proj`` as it is always constructed to be perpendicular to the - :math:`u`-:math:`v` plane. + orthogonal so the actual axis :math:`e_z` from which :math:`\phi` is measured lies in the + plane defined by :math:`u`-:math:`v` vectors and is orthogonal to :math:`u`. .. note:: @@ -687,16 +629,12 @@ where: :math:`v` along the :math:`hkl` directions :math:`[1,0,0]` and :math:`[0,1,0]` respectively. -- ``type`` - - Three character string denoting the the projection normalization of each +- ``type`` Three character string denoting the the projection normalization of each dimension, one character for each directions, e.g. ``'add'``, ``'arr'``, ``'adr'``. At the moment there is only one possible option for the first (length) component of ``type``: - 1. ``'a'`` - - Inverse angstroms. + 1. ``'a'`` Inverse angstroms. .. 2. ``'r'`` @@ -711,40 +649,28 @@ where: There are 2 possible options for the second and third (angular) components of ``type``: - 1. ``'d'`` - - Degrees - - 2. ``'r'`` + 1. ``'d'`` Degrees - Radians + 2. ``'r'`` Radians For example, if we wanted the |Q|-component to be in inverse angstroms and the angles in degrees we would have ``type = 'add'``. -- ``alatt`` - - 3-vector of lattice parameters. - -- ``angdeg`` +- ``alatt`` 3-vector of lattice parameters. - 3-vector of lattice angles in degrees. +- ``angdeg`` 3-vector of lattice angles in degrees. .. note:: - In general, you should not need to define ``alatt`` or ``angdeg``; by default - they will be taken from the ``sqw`` object during a ``cut``. However, there - are cases where a projection object may need to be reused elsewhere. + when cutting, you should not need to define ``alatt`` or ``angdeg``; by default + they will be taken from the ``sqw`` object during a ``cut`` and your setting will be overwritten. + However, there are cases where a projection object may need to be reused elsewhere. -- ``offset`` - - 3-vector in :math:`(h,k,l)` or 4-vector in :math:`(h,k,l,e)` defining the +- ``offset`` 3-vector in :math:`(h,k,l)` or 4-vector in :math:`(h,k,l,e)` defining the origin of the projection coordinate system. -- ``label``, etc. - - See :ref:`above `. +- ``label``, etc. See :ref:`above `. .. note:: @@ -771,18 +697,14 @@ where: Like ``line_proj``, ``sphere_proj`` can be :ref:`defined using positional or keyword arguments `. However the same - recommendation applies that positionals should only be used to + recommendation applies that positional should only be used to define ``u`` and ``v``. ``sphere_proj`` defines a spherical coordinate system, where: -* |Q| - - The radius from the origin (``offset``) in :math:`hkl` - -* :math:`\theta` +- |Q| The radius from the origin (``offset``) in :math:`hkl` - The angle measured from :math:`\vec{u}` to the vector (:math:`\vec{q}`), +* :math:`\theta` The angle measured from :math:`\vec{u}` to the vector (:math:`\vec{q}`), which means a :math:`\theta` value of :math:`0^{\circ}` means that :math:`\vec{q}` is parallel to :math:`\vec{u}`; and a :math:`\theta` value of :math:`90^{\circ}` means that :math:`\vec{q}` is perpendicular to :math:`\vec{u}`. 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a/documentation/user_docs/docs/images/cylinder_proj_coordinates.tex +++ b/documentation/user_docs/docs/images/cylinder_proj_coordinates.tex @@ -4,24 +4,30 @@ \begin{document} \begin{tikzpicture}[x={(-5mm,-3.85mm)},z={(0,1cm)},y={(1cm,-.3cm)}] - \path [fill=cyan] (0,0,0)--(6,0,-2)--(6,0,4)--(0,0,4) node [above,xshift=-1.5cm,yshift=-4cm] {$u$-$v$ plane}; - \draw [->] (0,0) -- (6.3,0,-2.1) node [right] {$\vec{v}$}; - \draw [->] (0,0) -- (0,4,0) node [above,xshift=0.4cm] {$\vec{w} = \vec{u} \times \vec{v}$}; - \draw [->] (0,0) -- (0,0,4.3) node [right] {$\vec{u}$}; - - \draw [->] (0,0) -- (6.3,0,0) node [right,xshift=0.2cm] {$\vec{w} \times \vec{u}$}; - - \draw [dotted] (0,0,2.5) -- (3,3,3); - - \draw [->,line width=0.75pt] (0,0,0) -- (3,3,3) node [above] {$\vec{q}$}; - \draw [dotted] (3,3,3) -- (3,3,0); - \draw [->] (0,0,0) -- (3,3,0) node [midway,below,xshift=-0.05cm] {$\vec{q_{\perp}}$}; - \draw [->,line width=0.7pt] (0,0,0) -- (0,0,2.5) node [midway,right,xshift=-0.1cm] {$\vec{q_{\|}}$}; - - \draw [->] (0.6,0,0) arc [start angle=0,end angle=45,x radius=1,y radius=0.5] node [below,xshift=-0.2cm] {$\phi{}$}; + \draw [,dashed] (0,0,0) ellipse (4.2 and 4.2) [below]; + \draw [fill=cyan] (0,0,0)--(6,0,-3)--(6,0,4.5)--(0,0,4.5) node [above, xshift=-1.5cm,yshift=-4cm] {$e_x$-$e_z$ plane}; + \draw [,dashed] (4.2,0,0) arc [start angle=0,end angle=15,x radius=4,y radius=4.]; + + \draw [line width=2pt] (0,0,0)--(0,0,2.5) node [above,xshift=0.4cm,yshift=-1.5cm] {$Q_{\|}$}; + \draw [->] (0,0) -- (6.2,0,-3.1) node [right,xshift=0.3cm,yshift=.4cm] {$v$}; + \draw [->] (0,0) -- (0,5,0) node [above,xshift=-0.8cm,yshift=-0.6cm] {$e_y = e_x \times e_z$}; + \draw [->] (0,0) -- (0,0,5) node [right,yshift=-0.5cm] {$u$,$e_z$}; + + \draw [->] (0,0) -- (6,0,0) node [right,xshift=0.cm,yshift=-0.1cm] {$e_x$ = $e_z \times e_y$}; + + \draw [line width=1pt,dotted] (3,3,3) -- (0,0,2.5);= + + \draw [line width=1pt,dotted] (0,3,0) -- (3,3,0); + \draw [line width=1pt,dotted] (3,0,0) -- (3,3,0); += + \draw [line width=2pt, ->] (0,0,0) -- (3,3,3) node [above] {$\vec{Q}$}; + \draw [line width=1pt,dotted] (3,3,3) -- (3,3,0); + \draw [line width=2pt] (0,0,0) -- (3,3,0) node [above,xshift=-0.3cm,yshift=1cm] {$Q_{\perp}$}; + + \draw [->] (2.5,0,0) arc [start angle=0,end angle=44,x radius=4,y radius=2] node [below,xshift=-0.8cm,yshift=-0.1cm] {$\phi$}; + \end{tikzpicture} \end{document} -1 diff --git a/documentation/user_docs/docs/images/cylindrical_cuts_1D.png b/documentation/user_docs/docs/images/cylindrical_cuts_1D.png index edef8e2c5442ce7495adb514b35f71b5f6996805..f0432111b64f8153366654aab5fc9f16e76bd831 100644 GIT binary patch literal 53351 zcma%j2UJtr)^!jR5ET^xl_mnBQlcUq5=8|O0UNypK|s3nngpe(G(qV?R1}onI|;oC z5s_X(?+|JTss9PyH@^4P@iWF9xjAR|z4lyl&$Z&42Ra%@51%~@0)dWd-o5<@1Y&st z0x>JF9RQv<9TWZze6ZNw)V>J<6-IMVo*o3gv%k1&qe&ZceP%xJp z)1i9;uXUOZ263p*h+jGSpt@pCerW!qQlD*Bc9y@Njh{K0{@B6L%*=&aBn$U4ClKf6 z=GcHSfR2sP!|9Ac*4-2#G6A1g*jb>A7Z+YmureNt9;YzACbGN|Vtl^8vCa&9Se#@- 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[above,xshift=0.4cm] {$\vec{w} = \vec{u} \times \vec{v}$}; - \draw [->] (0,0) -- (0,0,4.3) node [right] {$\vec{u}$}; + \draw [->] (0,0) -- (6,0,-2) node [right] {$v$}; + \draw [->] (0,0) -- (0,4,0) node [above,xshift=0.cm,yshift=0.3cm] {$e_y = e_x \times e_z$}; + \draw [->] (0,0) -- (0,0,4.2) node [right,yshift=-0.2cm] {$u$,$e_z$}; - \draw [->] (0,0) -- (6.3,0,0) node [right,xshift=0.2cm] {$\vec{w} \times \vec{}u$}; + \draw [->] (0,0) -- (6,0,0) node [right,xshift=0.1cm,yshift=-0.2cm] {$e_x$ = $e_z \times e_y$}; \draw [dotted] (3,3,3) -- (0,0,2.5); + + \draw [dotted] (0,3,0) -- (3,3,0); + \draw [dotted] (3,0,0) -- (3,3,0); - \draw [->,line width=0.75pt] (0,0,0) -- (3,3,3) node [above] {$\vec{q}$}; + \draw [line width=2pt,->] (0,0,0) -- (3,3,3) node [above] {$\vec{Q}$}; \draw [dotted] (3,3,3) -- (3,3,0); \draw [dashed,->] (0,0,0) -- (3,3,0); - \draw [->] (0,0,0.6) arc [start angle=170,end angle=120,x radius=1.2,y radius=0.9] node [above,yshift=0.3cm] {$\theta{}$}; - \draw [->] (0.6,0,0) arc [start angle=0,end angle=45,x radius=1,y radius=0.5] node [below,xshift=-0.2cm] {$\phi{}$}; + \draw [->] (2.5,0,0) arc [start angle=0,end angle=44,x radius=4,y radius=2] node [below,xshift=-0.8cm,yshift=-0.1cm] {$\phi$}; \end{tikzpicture} From fb8b2f42f1ca1ed64b719d2b6fe1c5ec98093713 Mon Sep 17 00:00:00 2001 From: abuts Date: Wed, 15 May 2024 19:07:06 +0100 Subject: [PATCH 04/16] Re #1686 correct formulas for cylindrical cuts --- .../user_docs/docs/API_Reference.bak | 32 --- .../docs/images/cylindrical_cuts_1D.png | Bin 53351 -> 69666 bytes ...of_interest_from_SQW_files_and_objects.rst | 227 ++++++------------ 3 files changed, 80 insertions(+), 179 deletions(-) delete mode 100644 documentation/user_docs/docs/API_Reference.bak diff --git a/documentation/user_docs/docs/API_Reference.bak b/documentation/user_docs/docs/API_Reference.bak deleted file mode 100644 index 9a90ffa266..0000000000 --- a/documentation/user_docs/docs/API_Reference.bak +++ /dev/null @@ -1,32 +0,0 @@ -API Reference -############# - -.. `sphinxcontrib.matlabdomain` can only handle new-style classes -.. (defined by `classdef`) - so cannot autodocument sqw class at present -.. -.. .. automodule:: sqw.@sqw -.. :members: - -.. contents:: Table of Contents - -- :ref:`API Index ` - -``SQWDndBase`` class --------------------------- - -.. automodule:: sqw.@SQWDnDBase - :members: - - -``Experiment`` class --------------------- - -.. automodule:: sqw.@Experiment - :members: - - -``PixelData`` class -------------------- - -.. automodule:: sqw.PixelData.@PixelData - :members: diff --git a/documentation/user_docs/docs/images/cylindrical_cuts_1D.png b/documentation/user_docs/docs/images/cylindrical_cuts_1D.png index f0432111b64f8153366654aab5fc9f16e76bd831..edef8e2c5442ce7495adb514b35f71b5f6996805 100644 GIT binary patch literal 69666 zcmb@uWmr{f^gX%}1rZei0Tl@;0cq(Lw}6z=-CfcxVSt1ZA}t}^-KioW-Q7rcZIHZk zdw%!c|NU~G=f?VQ4$l_WUh9oH#~fqKH{hk5#EonBt|1VJ8_y+?3JAnyJp=+%^6Dk{ z1e^2bBLspH@f`U?$@S~{q=%N$LA}U%#YgH}RCvz*nf_MfRIblL+*E0}HIbr9H?ed= zTMcVuIyfD*e5d_qT5C>x=p{cATCcjU0Ez 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arguments above `. .. note:: @@ -700,73 +697,51 @@ where: recommendation applies that positional should only be used to define ``u`` and ``v``. -``sphere_proj`` defines a spherical coordinate system, where: +``sphere_proj`` defines a spherical coordinate system which contains +spherical coordinates of momentum transfer vector :math:`\vec{Q}`. +Energy transfer coordinate for ``sphere_proj`` remain unchanged. +If projection ``offset`` parameter is zero, this vector is the vector +of momentum transfer from neutron to excitations -- lattice measured +in scattering experiment. If offset is not zero, :math:`\vec{Q}` +is the difference between ``offset`` and the measured momentum transfer. -- |Q| The radius from the origin (``offset``) in :math:`hkl` +Because reciprocal lattice is often non-orthogonal lattice, we introduce auxiliary +orthogonal coordinate system, which vector :math:`\vec{e_z}` being parallel to +:math:`\vec{u}` and vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` +and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. +(see :ref:`Sphere coordinates ` below.) When crystal lattice is +orthogonal, unit vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and +unit vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. -* :math:`\theta` The angle measured from :math:`\vec{u}` to the vector (:math:`\vec{q}`), - which means a :math:`\theta` value of :math:`0^{\circ}` means that :math:`\vec{q}` is parallel - to :math:`\vec{u}`; and a :math:`\theta` value of :math:`90^{\circ}` means that - :math:`\vec{q}` is perpendicular to :math:`\vec{u}`. - - Mathematically this is defined as: - - .. math:: +Then ``sphere_proj`` coordinates are: - \cos\left(\theta{}\right) = \frac{\vec{q}\cdot\vec{u}}{\left|q\right|\cdot\left|u\right|} - -* :math:`\phi` - - The angle measured between the :math:`u`-:math:`v` plane to the vector - (:math:`\vec{q}`), i.e. :math:`0^{\circ}` means that :math:`\vec{q}` lies in the :math:`u`-:math:`v` - plane and :math:`90^{\circ}` means that :math:`\vec{q}` is normal - to the :math:`u`-:math:`v` plane - (i.e. parallel to :math:`w`). +- |Q| The radius from the origin (``offset``) in :math:`hkl` - Mathematically this is defined as: +- :math:`\theta` -- The angle measured from :math:`e_z` to the vector (:math:`\vec{Q}`), + i.e. :math:`0^{\circ}` is parallel to :math:`e_z` and :math:`90^{\circ}` is + perpendicular to :math:`e_z`. Mathematically this is defined as: .. math:: - \cos\left(\phi{}\right) = \frac{\vec{p} \cdot{} \left(\vec{w} \times{} \vec{u} \right)} - {\vec{q} \cdot{} \vec{w} \times{} \vec{u}} + \cos\left(\theta{}\right) = \frac{\vec{Q}\cdot\vec{e_z}}{\left|Q\right|\cdot\left|e_z\right|} - where :math:`\vec{p}` is the projection of :math:`\vec{q}` onto the meridian - plane (the dashed line `below <#fig-sphere-coodinates>`_), given by: +- :math:`\phi` -- is the angle measured between the :math:`e_x`-:math:`e_z` plane to the vector + (:math:`\vec{q}`), i.e. :math:`0^{\circ}` lies in the :math:`e_x`-:math:`e_z` + plane and :math:`90^{\circ}` is normal to :math:`e_x`-:math:`e_z` plane + (i.e. parallel to :math:`e_y`). Mathematically this is defined as: .. math:: - \vec{p} = \frac{\vec{q}\cdot{}\vec{u}}{\left|u\right|^2}\vec{u} - - .. - Commented as proof of working not necessary for users - - .. math:: + \sin\left(\phi{}\right) = -\frac{[\vec{Q}\times\vec{e_z}]\cdot\vec{e_x}}{\left|[\vec{Q}\times\vec{e_z}]\right|} - \cos\left(\phi{}\right) = \frac{\left(\vec{w} \times{} \vec{u} \right) \cdot \vec{p}} - {\left|w\right|\left|u\right|\left|p\right|} - - Where :math:`\left|p\right| = \left|q\right|` - - .. math:: - - \cos\left(\phi{}\right) = \frac{\left(\vec{w} \times{} \vec{u} \right) \cdot \vec{p}} - {\left|w\right|\left|u\right|\left|q\right|} - -* :math:`E` - - The energy transfer as defined in ``line_proj`` +* :math:`E` is the energy transfer as defined in ``line_proj`` .. note:: - - :math:`\theta` lies in the range between :math:`0^{\circ}` and - :math:`180^{\circ}`. - - :math:`\phi` lies in the range between :math:`-180^{\circ}` and - :math:`180^{\circ}`. - - In radians, that is: - - - :math:`\theta` lies in the range between :math:`0` and :math:`\pi` - - :math:`\phi` lies in the range between :math:`-\pi` and :math:`\pi`. + - :math:`\theta` lies in the range between :math:`0^{\circ}` and :math:`180^{\circ}`. + - :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. + + Alternatively you can set ``sphere_proj`` option ``type`` to define these values in radians. @@ -780,14 +755,16 @@ where: Spherical coordinate system used by ``sphere_proj`` -In practice, Horace uses Matlab methods ``cart2sph`` and ``sph2cart`` to convert an array of vectors expressed +Alternative description of spherical coordinate system may be found on MATLAB help pages. +Horace uses MATLAB methods ``cart2sph`` and ``sph2cart`` to convert an array of vectors expressed in Cartesian coordinate system to spherical coordinate system and back. -The formulas, used by these methods together with the image of the used coordinate system are provided `on Matlab "cart2sph" help pages `_. -Matlab uses ``elevation`` angle which is related to :math:`\theta` angle used by Horace by relation: +The formulas, used by these methods together with the image of the used coordinate system is provided +`on MATLAB "cart2sph" help pages `_. +MATLAB uses ``elevation`` angle which is related to :math:`\theta` angle used by Horace by relation: :math:`\theta = 90-elevation` -``azimuth`` angle form `Matlab help pages `_ +``azimuth`` angle form `MATLAB help pages `_ is equivalent to Horace :math:`\phi` angle. .. note:: @@ -941,10 +918,10 @@ Cylindrical Projections ^^^^^^^^^^^^^^^^^^^^^^^ In order to construct a cylindrical projection (i.e. a projection in -:math:`\vec{q}_{\perp}` (the radial distance from the polar axis), -:math:`\vec{q}_{\|}` (distance from origin along the polar axis), :math:`\phi` +:math:`\vec{Q}_{\perp}` (the radial distance from the polar axis), +:math:`\vec{Q}_{\|}` (distance from origin along the polar axis), :math:`\phi` (azimuthal angle) and :math:`E`) coordinate system we create a projection in a -similar way to the ``line_proj``, but use the ``cylinder_proj`` function. +similar way to the ``line_proj``, but use the ``cylinder_proj`` class. The complete signature for ``cylinder_proj`` is: @@ -954,17 +931,13 @@ The complete signature for ``cylinder_proj`` is: where: -- ``u`` - - The vector :math:`\vec{u}` is the reciprocal space vector defining the +- ``u`` The vector :math:`\vec{u}` is the reciprocal space vector defining the polar-axis of the cylindrical coordinate system along which :math:`\vec{q}_{\|}` is measured. See the :ref:`diagram below ` for details. -- ``v`` - - The vector :math:`\vec{v}` is the reciprocal space vector which defines the second +- ``v`` The vector :math:`\vec{v}` is the reciprocal space vector which defines the second component of the :math:`u`-:math:`v` plane from which :math:`\phi` is measured. See the :ref:`diagram below ` for details. @@ -981,17 +954,13 @@ where: :math:`v` along the :math:`hkl` directions :math:`[1,0,0]` and :math:`[0,1,0]` respectively. -- ``type`` - - Three character string denoting the the projection normalization of each +- ``type`` Three character string denoting the the projection normalization of each dimension, one character for each directions, e.g. ``'aad'`` or ``'aar'``. At the moment there is only one possible option implemented for the length components (:math:`q_{\perp}` and :math:`q_{\|}`) of ``type``: - 1. ``'a'`` - - Inverse angstroms. + 1. ``'a'`` Inverse angstroms. .. 2. ``'r'`` @@ -1006,25 +975,17 @@ where: There are 2 possible options for the third (angular) component of ``type``: - 1. ``'d'`` - - Degrees - - 2. ``'r'`` + 1. ``'d'`` Degrees - Radians + 2. ``'r'`` Radians For example, if we wanted the length components to be in inverse angstroms and the angles in degrees we would have ``type = 'aad'``. -- ``alatt`` - - 3-vector of lattice parameters. - -- ``angdeg`` +- ``alatt`` 3-vector of lattice parameters. - 3-vector of lattice angles in degrees. +- ``angdeg`` 3-vector of lattice angles in degrees. .. note:: @@ -1032,15 +993,13 @@ where: they will be taken from the ``sqw`` object during a ``cut``. However, there are cases where a projection object may need to be reused elsewhere. -- ``offset`` - - 3-vector in :math:`(h,k,l)` or 4-vector in :math:`(h,k,l,e)` defining the +- ``offset`` 3-vector in :math:`(h,k,l)` or 4-vector in :math:`(h,k,l,e)` defining the origin of the projection coordinate system. - ``label``, etc. - See :ref:`above `. + See :ref:`other plot arguments above `. .. note:: @@ -1067,63 +1026,41 @@ where: Like ``line_proj``, ``cylinder_proj`` can be :ref:`defined using positional or keyword arguments `. However the same - recommendation applies that positionals should only be used to + recommendation applies that positional should only be used to define ``u`` and ``v``. ``cylinder_proj`` defines a cylindrical coordinate system, where: -* :math:`q_{\|}` - - The length along the polar axis :math:`\vec{u}` to :math:`\vec{q}` relative to - the origin (``offset``) in :math:`hkl` - - Mathematically, this is defined as: +- :math:`Q_{\perp}` -- The length of the projection of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` + origin (``offset``) in :math:`hkl` to the plain :math:`e_x`-:math:`e_y`. (see :ref:`fig_cylinder_coodinates` below) .. math:: - \vec{q_{\|}} = \frac{\left(\vec{q} \cdot{} \vec{u}\right)} - {\left|u\right|} - \vec{u} + Q_{\perp} = \left| \vec{Q} - \vec{e_z}\cdot Q_{||}\right | - .. math:: - - q_{\|} = \left| \vec{q_{\|}} \right| - -* :math:`q_{\perp}` - - The radial distance from the polar axis :math:`\vec{u}` to :math:`\vec{q}` - relative to the origin (``offset``) in :math:`hkl`. - - Mathematically, this is defined as: - - .. math:: - \vec{q_{\perp}} = \vec{q} - \vec{q_{\|}} +- :math:`Q_{||}` -- The length of the projection of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` + origin (``offset``) in :math:`hkl` to :math:`e_z` axis of the ``cylinder_proj`` .. math:: - q_{\perp} = \left| \vec{q_{\perp}} \right| - -* :math:`\phi` - - The angle measured between the :math:`u`-:math:`v` plane to the vector - (:math:`\vec{q}`), i.e. :math:`0^{\circ}` lies in the :math:`u`-:math:`v` - plane and :math:`90^{\circ}` is normal to the :math:`u`-:math:`v` plane - (i.e. parallel to :math:`\vec{w}`). + Q_{||} = \vec{Q}\cdot\vec{e_z} - Mathematically this is defined as: +* :math:`\phi` -- is the angle measured between the :math:`e_x`-:math:`e_z` plane to the vector + (:math:`\vec{Q_{\perp}}`), i.e. :math:`0^{\circ}` lies in the :math:`e_x`-:math:`e_z` + plane and :math:`90^{\circ}` is normal to :math:`e_x`-:math:`e_z` plane + (i.e. parallel to :math:`e_y`). Mathematically this is defined as: .. math:: - \cos\left(\phi{}\right) = \frac{\vec{q_{\perp}} \cdot \left(\vec{w} \times \vec{u}\right)} - {\left|\vec{q_{\perp}}\right|\left|\vec{u}\right|\left|\vec{w}\right|} + \cos\left(\phi{}\right) = \frac{\vec{Q_{\perp}}\cdot\vec{e_x}}{\left|\vec{Q_{\perp}}\right|} * :math:`E` is the energy transfer as defined in ``line_proj`` .. note:: - :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. The ``cylinder_proj`` settings - allow to change these values to radians so :math:`-\pi \leq \phi \leq \pi`. + :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. The ``cylinder_proj`` ``type`` + property allows to change these values to radians so :math:`-\pi \leq \phi \leq \pi`. .. _fig_cylinder_coodinates: @@ -1135,38 +1072,34 @@ where: Cylindrical coordinate system used by ``cylinder_proj`` - -Similarly to :ref:`fig_sphere_coodinates`, Horace uses Matlab methods -``cart2pol``/``pol2cart`` to convert array of vectors expressed in Cartesian -coordinate system to cylindrical coordinate system and back. The formulas, -used by these methods together with the image of the used coordinate system -are provided `on Matlab "cart2pol" help pages -`_. +Similarly to :ref:`fig_sphere_coodinates`, Horace uses MATLAB methods ``cart2pol``/``pol2cart`` to convert +array of vectors expressed in Cartesian coordinate system to cylindrical coordinate system and back. +Detailed description of the cylindrical coordinate system used by Horace together with the image of the used coordinate system +are provided `on MATLAB "cart2pol" help pages `_. .. note:: A cylindrical projection currently does not have the ability to be - rescaled in :math:`Q_{\perp}` or :math:`Q_{||}` relative to the magnitude + rescaled in :math:`Q_{\perp}` or :math:`Q_{\|}` relative to the magnitude of :math:`u` or :math:`v` vectors. When it comes to cutting and plotting, we can use a ``cylinder_proj`` in exactly the same way as we would a ``line_proj``, but with one key difference. The binning arguments of ``cut`` no longer refer to -:math:`h,k,l,E`, but to :math:`q_{\perp}`, :math:`q_{\|}`, :math:`\phi`, :math:`E` variables. +:math:`h,k,l,E`, but to :math:`Q_{\perp}`, :math:`Q_{\|}`, :math:`\phi`, :math:`E` variables. .. code-block:: matlab - sp_cut = cut(w, cylinder_proj, Q_\perp, Q_||, phi, e, ...); + sp_cut = cut(w, cylinder_proj, Q_tr, Q_||, phi, e, ...); .. warning:: The form of the arguments to ``cut`` is still the same (see: `Binning arguments`_). However: - - :math:`q_{\perp}` runs between :math:`[0, \infty)` - - :math:`\phi` runs between :math:`[-180, 180]` - - requesting binning outside of these ranges will fail. + - :math:`Q_{\perp}` runs from :math:`[0, \infty)` -- attempt to use :math:`Q_{\perp}` with a minimum + bound smaller than :math:`0` will fail. + - :math:`\phi` runs between :math:`[-180, 180]` -- requesting binning outsize of these ranges will fail. ``cylinder_proj`` 2D and 1D cuts examples: @@ -1234,7 +1167,7 @@ function of :math:`Q_{\perp}` at different :math:`Q_{||}`: amark(symbols(i)); pd(w1(i)) end - legend('Q_{||}=-4','Q_{||}=-2','Q_{||}=0','Q_{||}=2'); + legend('Q_{\|}=-4','Q_{\|}=-2'); .. figure:: ../images/cylindrical_cuts_1D.png :align: center From f2acca0974d375e97b8157fcec654a29c325fdbb Mon Sep 17 00:00:00 2001 From: abuts Date: Wed, 15 May 2024 20:39:59 +0100 Subject: [PATCH 05/16] Re #1686 On Toby requests, removed formula to define lattice vectors. --- .../docs/images/cylinder_proj_coordinates.png | 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z(m?mjbagHXa+3_USChXUVqyotnZ*wDNQ5kDICmjW>|tdG|9@R@%l@~HSWkCH%Z2] (0,0) -- (6,0,-2) node [right] {$v$}; - \draw [->] (0,0) -- (0,4,0) node [above,xshift=0.cm,yshift=0.3cm] {$e_y = e_x \times e_z$}; - \draw [->] (0,0) -- (0,0,4.2) node [right,yshift=-0.2cm] {$u$,$e_z$}; + \draw [->] (0,0) -- (6,0,-2) node [right] {$\vec{v}$}; + \draw [->] (0,0) -- (0,4,0) node [above,xshift=0.cm,yshift=0.3cm] {$\vec{e_y} = \frac{\vec{u} \times \vec{v}}{|u|\cdot |v|}$}; + \draw [->] (0,0) -- (0,0,4.2) node [right,yshift=-0.2cm] {$\vec{u}$}; - \draw [->] (0,0) -- (6,0,0) node [right,xshift=0.1cm,yshift=-0.2cm] {$e_x$ = $e_z \times e_y$}; + \draw [->] (0,0) -- (6,0,0) node [right,xshift=0.1cm,yshift=-0.1cm] {$\vec{e_y} \times \vec{u}$}; \draw [dotted] (3,3,3) -- (0,0,2.5); diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 28063830eb..853872a528 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -617,7 +617,7 @@ where: .. note:: The reciprocal space vectors :math:`u`-:math:`v` are not necessarily - orthogonal so the actual axis :math:`e_z` from which :math:`\phi` is measured lies in the + orthogonal so the actual axis from which :math:`\phi` is measured lies in the plane defined by :math:`u`-:math:`v` vectors and is orthogonal to :math:`u`. .. note:: @@ -705,34 +705,28 @@ of momentum transfer from neutron to excitations -- lattice measured in scattering experiment. If offset is not zero, :math:`\vec{Q}` is the difference between ``offset`` and the measured momentum transfer. -Because reciprocal lattice is often non-orthogonal lattice, we introduce auxiliary -orthogonal coordinate system, which vector :math:`\vec{e_z}` being parallel to -:math:`\vec{u}` and vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` -and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. -(see :ref:`Sphere coordinates ` below.) When crystal lattice is -orthogonal, unit vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and -unit vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. +.. + _hidden on Toby's requests: + Because reciprocal lattice is often non-orthogonal lattice, we introduce auxiliary + orthogonal coordinate system, which vector :math:`\vec{e_z}` being parallel to + :math:`\vec{u}` and vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` + and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. + (see :ref:`Sphere coordinates ` below.) When crystal lattice is + orthogonal, unit vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and + unit vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. Then ``sphere_proj`` coordinates are: - |Q| The radius from the origin (``offset``) in :math:`hkl` -- :math:`\theta` -- The angle measured from :math:`e_z` to the vector (:math:`\vec{Q}`), - i.e. :math:`0^{\circ}` is parallel to :math:`e_z` and :math:`90^{\circ}` is - perpendicular to :math:`e_z`. Mathematically this is defined as: - - .. math:: - - \cos\left(\theta{}\right) = \frac{\vec{Q}\cdot\vec{e_z}}{\left|Q\right|\cdot\left|e_z\right|} - -- :math:`\phi` -- is the angle measured between the :math:`e_x`-:math:`e_z` plane to the vector - (:math:`\vec{q}`), i.e. :math:`0^{\circ}` lies in the :math:`e_x`-:math:`e_z` - plane and :math:`90^{\circ}` is normal to :math:`e_x`-:math:`e_z` plane - (i.e. parallel to :math:`e_y`). Mathematically this is defined as: +- :math:`\theta` -- The angle measured from :math:`\vec{u}` to the vector (:math:`\vec{Q}`), + i.e. :math:`0^{\circ}` is parallel to :math:`\vec{u}` and :math:`90^{\circ}` is + perpendicular to :math:`\vec{u}`. - .. math:: - - \sin\left(\phi{}\right) = -\frac{[\vec{Q}\times\vec{e_z}]\cdot\vec{e_x}}{\left|[\vec{Q}\times\vec{e_z}]\right|} +- :math:`\phi` -- is the angle measured between the projection of vector + :math:`\vec{Q_\perp}=\vec{Q}-\frac{\vec{u}}{|u|^2}(\vec{u}\cdot \vec{Q})` to the plane + :math:`\vec{u}`-:math:`\vec{v}` , i.e. :math:`0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` + plane and :math:`90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane * :math:`E` is the energy transfer as defined in ``line_proj`` @@ -933,7 +927,7 @@ where: - ``u`` The vector :math:`\vec{u}` is the reciprocal space vector defining the polar-axis of the cylindrical coordinate system along which - :math:`\vec{q}_{\|}` is measured. + :math:`\vec{Q}_{\|}` is measured. See the :ref:`diagram below ` for details. @@ -1031,31 +1025,17 @@ where: ``cylinder_proj`` defines a cylindrical coordinate system, where: -- :math:`Q_{\perp}` -- The length of the projection of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` - origin (``offset``) in :math:`hkl` to the plain :math:`e_x`-:math:`e_y`. (see :ref:`fig_cylinder_coodinates` below) - - .. math:: - - Q_{\perp} = \left| \vec{Q} - \vec{e_z}\cdot Q_{||}\right | - +- :math:`\vec{Q_\perp}=\vec{Q}-\frac{\vec{u}}{|u|^2}(\vec{u}\cdot \vec{Q})` -- The length of the orthogonal to axis :math:`\vec{u}` part of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` origin (``offset``) in :math:`hkl`. -- :math:`Q_{||}` -- The length of the projection of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` - origin (``offset``) in :math:`hkl` to :math:`e_z` axis of the ``cylinder_proj`` +- :math:`Q_{\|}` -- The length of the projection of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` + origin (``offset``) in :math:`hkl` to :math:`\vec{u}` axis of the ``cylinder_proj`` - .. math:: - - Q_{||} = \vec{Q}\cdot\vec{e_z} - -* :math:`\phi` -- is the angle measured between the :math:`e_x`-:math:`e_z` plane to the vector - (:math:`\vec{Q_{\perp}}`), i.e. :math:`0^{\circ}` lies in the :math:`e_x`-:math:`e_z` - plane and :math:`90^{\circ}` is normal to :math:`e_x`-:math:`e_z` plane - (i.e. parallel to :math:`e_y`). Mathematically this is defined as: - - .. math:: - - \cos\left(\phi{}\right) = \frac{\vec{Q_{\perp}}\cdot\vec{e_x}}{\left|\vec{Q_{\perp}}\right|} - -* :math:`E` is the energy transfer as defined in ``line_proj`` +- :math:`\phi` -- is the angle measured between the vector :math:`\vec{Q_\perp}` to + the plane :math:`\vec{u}`-:math:`\vec{v}` , i.e. :math:`0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` + plane and :math:`90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane + (i.e. parallel to :math:`\vec{e_y}`). + +- :math:`E` is the energy transfer as defined in ``line_proj`` .. note:: @@ -1072,10 +1052,9 @@ where: Cylindrical coordinate system used by ``cylinder_proj`` -Similarly to :ref:`fig_sphere_coodinates`, Horace uses MATLAB methods ``cart2pol``/``pol2cart`` to convert -array of vectors expressed in Cartesian coordinate system to cylindrical coordinate system and back. -Detailed description of the cylindrical coordinate system used by Horace together with the image of the used coordinate system -are provided `on MATLAB "cart2pol" help pages `_. +Similarly to :ref:`fig_sphere_coodinates`, detailed description of the cylindrical coordinate system used by +Horace together with the image of the used coordinate system are provided `on MATLAB "cart2pol/pol2cart" help pages `_, as Horace uses these methods to convert array +of vectors expressed in Cartesian coordinate system to cylindrical coordinate system and backward. .. note:: From 94400806c14e61b23d4f370da9edbc9a7b37ad04 Mon Sep 17 00:00:00 2001 From: abuts Date: Thu, 16 May 2024 12:20:28 +0100 Subject: [PATCH 06/16] Re #1686 correct images with additional coordinate system --- .../docs/images/cylinder_proj_coordinates.png | Bin 82666 -> 84651 bytes .../docs/images/cylinder_proj_coordinates.tex | 6 +++--- .../docs/images/sphere_proj_coordinates.png | Bin 55651 -> 57939 bytes .../docs/images/sphere_proj_coordinates.tex | 6 +++--- ...of_interest_from_SQW_files_and_objects.rst | 2 +- 5 files changed, 7 insertions(+), 7 deletions(-) diff --git a/documentation/user_docs/docs/images/cylinder_proj_coordinates.png b/documentation/user_docs/docs/images/cylinder_proj_coordinates.png index 5874adfc1406d812ec0e01197be34fac00fb9e23..022f73af0b306d48781bbeeb7830daaf5cf27398 100644 GIT binary patch literal 84651 zcmeGEcU;Z?`v;Dn1{KmmQraO@k`_(cMHEtLiI%3cx0RL>8cHP0Fq zPka2X$H|N1{rUd>|Nim)<8|}mJfDx}V_f5Y-LLC<_?}HVg(st*j)cfx(c^ z!GGxcp9}p*;+!b$h{1Scl;vbEI!BNFpt!xerL$^UnUd;W zx0^uI781HG+t2d)lluE_i`P$3-c9#jJ(22796Nid6YXv}fjizOGANr8MIW;c`-JqZ zwZ;e@B-c={zdlg6>UDG6q15)csp;U2`no5jrZ-99lAQ>ERd zZmJpjrF(VYZxoyj@Q=0;`%gJ4)kllt^E_4@Q;N}ZY+Qt2LbwzkDZM;>U+&w9(&UZH zUT9r|?1Y~l3Ypd`4L2qB&tjz)$X!RuTVj*T;Z<)T+947QMy#Ud$-zXOT#Kf1FR!(Y zYI0ZqWg)zi*BUu`r{2U1w(C>k%@FopWQBZf_Po_DqI)~)f*+!GV%1^4?hG#E^U zdUB+bFAdv#-51rv4XPtI;TIemC7cb0<X*`%&cek*aA{g}?l z$;o}QHP!VEjGemLQ?Ru+4M z(9O%x)iSA0tR9AFHWh}hVhkJY}vM}Vdc`h>&lvEN_kYnJ_iVt4P9az zZOfQsl0FSWW2i{(3a{Fp?vEf?}}96 z4W}&Z=7O1ql5Z4Q_@!<8lB5>N>4@(SHyAN?+*n(v?Z`Gwo7f2pxie-*SV;9&SI~gg z*cYOv^(wz?+>=Le=|PxjSP*GoN;`3|G4 z%hpBWxB5chsJ`5#kvgRL`rNb6pOwCKgLSIdw)s66HN#_NzA05(Nc{FtNEe*@+l$HZ zY;H?4{eGT5a?HO;tS!QlKek;okXpo%)x<~^v;K0J?ACLf=t}nW9hvl89zMvco0lrF z&}A>>WdkcZLPxMhAsM8lKR@`Y_ErV;)@5q`j5+DJwv1<3>r@EZ=dx@!)-E`mh^*lK zZM)};Ma>#y>SH9CCr9&adeX~H;7KVDFQUN&NJ|+Go*T;UITs_rG>8pg6i8=ViE*1y zp1S$r!v~%-4|Xh%B1tRDxly~P)L^7NSZeu=6th59f5C`@g)%>EyXK~q3=tre%)N)l zw;2S_ntso-nq|?I%;x7fqLn^ZGEr}wP}SqLktUFFsrqXuPrxcX=2zzVv+_PYEiJoZ zFe_f04Q7?9KsYp+Wa_zQ1$v7;T^s8Q+q+E9B+tLb*A@CXQFv zSC<%mNale>kCEb@b1#0n3}Z@E@7S@UIh?%b93S;M2m^k<3!CSn5wAwV!?Iem%x{~^ zl)HHG=?4LX1v;X78s`E*LP_kvA<^Tr)XtVMY=c-&d$O-x;E!e zqgU*BwlmL)nfaEm<&n-3O@#>4({XKys*G5{wlv*v+~`g=sWF!qI`M9UNqd|oo=4GJ zRCh*D3to&ERyD4E^lYRhWpr}7NmZbxzcyUb>vea^joPr84>Zz?bCR%4CGrHpFx|-_ z#(wGTMZr7SxE=8hYsW=C3-LDG>?+6_j0oq~Q<-vja^UPt$;1%18T8ePK|S_&G~U2O6wP&|uHL z(TwsiTtl70)YI~NX0dCxoY0CEz{-wR*M{<_#%H*Jm`F~Ry3CqjV+{&yWxcj`gX!vB zD*~yj8SBXIUtOA|VlBSemL6lA(#z8pCwq6!``kFG`$6GR5VFfrmhND=-#JfTW0G*r zlvtblrt$Lh7Ak7$XMhcAJ_Rs7S@VP)HX-1bDKapjp@4X*>p4?eF6Klk_R`F%QO+&n zM_;oEfSOX3nShn2-?gjHWs+Ic+Ijt)^T^)*QY%^b4}OK_IG9zOugNHQD0 zd2#zmJgJ1k7^l4dkg8Abt4G=HOEbBiDve^Oe7c_t-;}7nSUl3L%%{$G>FrZfb896frD(%(5X^9w*?~`P zW3Ug^+7rtY#ghlxX>vJyUC(}fF5FB0z^Sv$qgY~f>VxYkhmni^Oo;*$=4s zm+yg-uq2#>NFIo8%?r_3I>#H>Bb^mD{3u)wY;paf$mWs2Hrwqs`K;7!VFdeBbK}&t zkCc*6SEj4k@EEnP4>dD1Rj;&YwB&cYs_NvJJ;vFkTuRw zT=?KiBWlu@9G6mgCjRWYkc&}_vX6e<0R7qLCm!F~vRx(5vSV(r7WRy<{;1gQcgZiV z%>p(Qw;yQUSOE+`#X8$&;MEeV^*RQ-@a0IxQ1!Vl0_CgmzV{9*)jj6&-F5h)QqQ5j zucAFqZOYd!b8>NMu9ha>C_H?XMa1$7VT0KD2s+#z_`IbRoKd^>P3&z3tDl8^zAgv0 zx|(dKp$UgGOl==jrX)3qkv;o;SSdYyz{Drq%3&EAZ?!V`2eGli3zOIvr(O#jVU={f{TxpP-kNva33+wgF^kCL zZCMhkmZPPII=jkCX=Yc&8UXb~9yKVF_*!{JSV2Bu&okJm+H9;8!qiXiZ)Y6A{v7Qo zFJEVo!Cx)a&9_cej)jSZe%MH#fj?QeO}Ms7dT-yhC+!b1t-zJ$1?w53Jo?C|@67G5F^&`;#*{R3lAXD~r z;mTL;pX64qr`c3WNbi`7kB{$bRAhSw=a^8lB5c`yK8#Oy&mgw>TnQle*|F!}K^o

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zgA!8th64J4An*tjxTaSldu5juC`m?28R(J1*`WiDQ!{J=J9HRouypr#!vC4SmxZDj z?umx8k!d*9(o2J{Ps;I;5KSvx#-RaCM25l_pku-xlH_!sl6TldLuTHSuFyn;>tfAe ziIB`Us(?pC%ZNXf*I6_K#2oh+=&{{j0S_6DAIz{)_NVrx{|5P^Z@#`v#n+*WD>VEWcXnxj*N?pQ6M2&j@ETMc%~Bd|9R<+#f(t&(_Y-T;=>=d P2dJWq{;SaR?0^0re^$u| diff --git a/documentation/user_docs/docs/images/sphere_proj_coordinates.tex b/documentation/user_docs/docs/images/sphere_proj_coordinates.tex index e80c5ef70e..a854d30d48 100644 --- a/documentation/user_docs/docs/images/sphere_proj_coordinates.tex +++ b/documentation/user_docs/docs/images/sphere_proj_coordinates.tex @@ -7,10 +7,10 @@ \draw [fill=cyan] (0,0,0)--(6,0,-2)--(6,0,4)--(0,0,4) node [above, xshift=-1.5cm,yshift=-4cm] {$\vec{u}$-$\vec{v}$ plane}; \draw [->] (0,0) -- (6,0,-2) node [right] {$\vec{v}$}; - \draw [->] (0,0) -- (0,4,0) node [above,xshift=0.cm,yshift=0.3cm] {$\vec{e_y} = \frac{\vec{u} \times \vec{v}}{|u|\cdot |v|}$}; - \draw [->] (0,0) -- (0,0,4.2) node [right,yshift=-0.2cm] {$\vec{u}$}; + \draw [->] (0,0) -- (0,4,0) node [above,xshift=-0.4cm,yshift=0.3cm] {$\vec{e_y} = \vec{e_x} \times \vec{e_z}$}; + \draw [->] (0,0) -- (0,0,4.2) node [right,yshift=-0.2cm] {$\vec{u}$,$\vec{e_z}$}; - \draw [->] (0,0) -- (6,0,0) node [right,xshift=0.1cm,yshift=-0.1cm] {$\vec{e_y} \times \vec{u}$}; + \draw [->] (0,0) -- (6,0,0) node [right,xshift=0.1cm,yshift=-0.2cm] {$\vec{e_x}$ = $\vec{e_z} \times \vec{e_y}$}; \draw [dotted] (3,3,3) -- (0,0,2.5); diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 853872a528..8f668a615b 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -9,7 +9,7 @@ Cutting data of interest from SQW files and objects Horace ``sqw`` object is the main object Horace operates with. It contains full information about the results of a neutron experiment. This information includes information about each neutron "event" registered -in the experiment which is stored in a 1-D dataset called the "pixels". +in the experiment. This information is stored in a 1-D dataset called the "pixels". The dataset is usually the major by size part of ``sqw`` object. Another part of ``sqw`` object is a 0 to 4-dimensional histogram (binning) From b937ba525e28502a2024696ccdea84e208419616 Mon Sep 17 00:00:00 2001 From: abuts Date: Thu, 16 May 2024 14:23:18 +0100 Subject: [PATCH 07/16] Re #1686 Hopefully completed modifications to proj documentation --- ...of_interest_from_SQW_files_and_objects.rst | 140 ++++++++++-------- 1 file changed, 79 insertions(+), 61 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 8f668a615b..634433a3cd 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -38,6 +38,8 @@ data, a user works with smaller objects, extracted from the full dataset using ``cut`` uses this information to extract relevant pixels and maintains the arrangement between bins and "pixels" for resulting ``sqw`` object. +:: _cut: + cut === @@ -133,7 +135,7 @@ etc. which contains information about the desired coordinate system representati w1 = cut(w, [], [lo1, hi1], [lo2, hi2], ...) -Different projections are covered in the `Projection in more detail`_ section below. +Different projections are covered in the :ref:`Projection in more details ` section below. .. note:: @@ -149,7 +151,7 @@ Binning arguments The binning arguments (``p1_bin``, ``p2_bin``, ``p3_bin`` and ``p4_bin``) specify the binning / integration ranges for the Q & Energy axes in **the target -projection's** coordinate system (c.f. `Projection in more detail`_ and +projection's** coordinate system (c.f. :ref:`Projection in more details ` and `changing projections`_). Each can independently have one of four different forms below. @@ -161,26 +163,22 @@ Each can independently have one of four different forms below. to ensure your cut is what you expect. -- ``[]`` An empty binning range will use the source binning axes in that dimension. - -- ``[step]`` A single (scalar) number defines a plot axis. - The bin width will be equal to the number you specify. The lower and upper - limits will be from the source binning axes in that dimension. - -.. note:: - - A value of ``[0]`` is equivalent to ``[step]`` using bin size of the source - coordinate system. +- ``[]`` Automatic binning calculations. + Empty brackets indicate that the cut algorithm should identify binning ranges itself. + The step size of the target binning is taken equal to the step size of the binning + currently present in the source image in the direction with the same + number as the number of binning argument ``[]``. In more details auto-binning algorithm is described + :ref:`below `. -.. warning:: - When changing projections e.g. ``line_proj`` to ``sphere_proj``, using either - ``[]`` or ``[step]`` see, `changing projections`_ below. +- ``[step]`` Automatic binning calculations with binning step size. + Single (scalar) number defines a plot axis with bin width equal to the number you specify. + The lower and upper limits are calculated by the same algorithm as the binning range in ``[]``-brackets case. -- ``[lower,upper]`` A vector with two components defines an integration axis. - The signal will be integrated over that axis between the limits specified by - the two components of the vector. +- ``[lo,hi]`` Integration axis in binning direction. + A vector with two components defines integration axis. + The signal will be integrated over that axis between limits specified by the two components of the vector. .. warning:: @@ -188,11 +186,11 @@ Each can independently have one of four different forms below. edges. For example, ``[-1 1]`` will capture pixels from ``-1`` to ``1`` inclusive. -- ``[lower,step,upper]`` A vector with three components defines a plot axis. - - The first ``lower`` and the last ``upper`` components specifying the centres - of the first and the last bins of the data to be cut. The middle component - specifies the bin width. +- ``[lower,step,upper]`` Plot axis in binning direction. + A three-component binning axis specifies plot axis. + The first ``lower`` and the last ``upper`` components specifying the centres of the + first and the last bins of the data to be cut. The middle component specifies + the bin width. .. note :: @@ -206,7 +204,7 @@ Each can independently have one of four different forms below. 1]`` will capture pixels from ``-1.5`` to ``1.5`` inclusive. -* ``[lower, separation, upper, cut_width]`` A vector with four components defines **multiple** integration axes with +- ``[lower, separation, upper, cut_width]`` A vector with four components defines **multiple** integration axes with **multiple** integration limits in the selected direction. These components are: @@ -251,7 +249,9 @@ File- and memory-backed cuts resulting object is sufficiently large (the threshold of which is the product of ``mem_chunk_size`` and ``fb_scale_factor`` defined in the :ref:`Horace config `), the object is written to a -temporary file and will be "file-backed". +temporary file and will be "file-backed". See :ref:`manual/Changing_Horace_settings:Changing Horace settings` +for more information about configuring Horace and changing the limits when object +may become filebacked. .. note:: @@ -279,6 +279,7 @@ file. This file will not be a temporary file. reading data from disc is around three orders of magnitude slower than from memory. +.. _Projection_in_details: Projection in more details -------------------------- @@ -314,7 +315,8 @@ Where: - ``v`` 3-vector in reciprocal space :math:`(h,k,l)` in the plane of the second viewing axis. -- ``w`` 3-vector of in reciprocal space :math:`(h,k,l)` of the third viewing axis. +- ``w`` 3-vector of in reciprocal space :math:`(h,k,l)` of the third viewing axis or empty value + at its place. .. note:: @@ -585,6 +587,7 @@ This shows the intensity of the spin wave: MAPS Fe Data; 1D cut along the diagonal of the 2D image above. +.. _Spherical_Projections: Spherical Projections ^^^^^^^^^^^^^^^^^^^^^ @@ -603,7 +606,7 @@ The complete signature for ``sphere_proj`` is: where: - ``u`` The vector :math:`\vec{u}` is the reciprocal space vector defining the - polar-axis of the spherical coordinate system from which :math:`\theta` is + polar-axis :math:`\vec{e_z}` of the spherical coordinate system from which :math:`\theta` is measured. See the :ref:`diagram below ` for details. @@ -617,8 +620,8 @@ where: .. note:: The reciprocal space vectors :math:`u`-:math:`v` are not necessarily - orthogonal so the actual axis from which :math:`\phi` is measured lies in the - plane defined by :math:`u`-:math:`v` vectors and is orthogonal to :math:`u`. + orthogonal so the actual axis :math:`\vec{e_x}` from which :math:`\phi` is measured lies in the + plane defined by :math:`u`-:math:`v` vectors and is orthogonal to :math:`\vec{e_z}`. .. note:: @@ -705,30 +708,31 @@ of momentum transfer from neutron to excitations -- lattice measured in scattering experiment. If offset is not zero, :math:`\vec{Q}` is the difference between ``offset`` and the measured momentum transfer. -.. - _hidden on Toby's requests: - Because reciprocal lattice is often non-orthogonal lattice, we introduce auxiliary - orthogonal coordinate system, which vector :math:`\vec{e_z}` being parallel to - :math:`\vec{u}` and vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` - and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. - (see :ref:`Sphere coordinates ` below.) When crystal lattice is - orthogonal, unit vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and - unit vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. + +Because reciprocal lattice may be non-orthogonal lattice, following common crystallography +practice, we introduce auxiliary +orthogonal coordinate system, which unit vector :math:`\vec{e_z}` being parallel to +:math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` +and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. +(see :ref:`Sphere coordinates ` below.) When crystal lattice is +orthogonal, vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and +vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. Then ``sphere_proj`` coordinates are: - |Q| The radius from the origin (``offset``) in :math:`hkl` -- :math:`\theta` -- The angle measured from :math:`\vec{u}` to the vector (:math:`\vec{Q}`), - i.e. :math:`0^{\circ}` is parallel to :math:`\vec{u}` and :math:`90^{\circ}` is +- :math:`\theta` -- The angle measured from :math:`\vec{e_z}` to the vector (:math:`\vec{Q}`), + i.e. :math:`0^{\circ}` is parallel to :math:`\vec{e_z}` and :math:`90^{\circ}` is perpendicular to :math:`\vec{u}`. - :math:`\phi` -- is the angle measured between the projection of vector - :math:`\vec{Q_\perp}=\vec{Q}-\frac{\vec{u}}{|u|^2}(\vec{u}\cdot \vec{Q})` to the plane - :math:`\vec{u}`-:math:`\vec{v}` , i.e. :math:`0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` - plane and :math:`90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane + :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}\cdot \vec{Q})` to the plane + :math:`\vec{u}`-:math:`\vec{v}`, i.e. :math:`0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` + plane and :math:`90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane. + (parallel to :math:`\vec{e_y}`) -* :math:`E` is the energy transfer as defined in ``line_proj`` +- :math:`E` is the energy transfer as defined in ``line_proj`` .. note:: @@ -784,7 +788,9 @@ difference. The binning arguments of ``cut`` no longer refer to - :math:`\theta` runs between :math:`[0, 180]` - :math:`\phi` runs between :math:`[-180, 180]` - Attempting to specify binning outside of these ranges will fail. + Attempting to specify binning outside of these ranges will fail. Changing + ``sphere_proj`` ``type`` property from ``add`` to ``arr`` modifies angular ranges + into radians. ``sphere_proj`` 2D and 1D cuts examples: @@ -1023,19 +1029,29 @@ where: recommendation applies that positional should only be used to define ``u`` and ``v``. +Similarly to :ref:`Spherical projections `, we introduce auxiliary +orthogonal coordinate system, which unit vector :math:`\vec{e_z}` being parallel to +:math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` +and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. (see :ref:`Cylinder coordinates ` below.) +When crystal lattice is orthogonal, vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and +vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. + + ``cylinder_proj`` defines a cylindrical coordinate system, where: -- :math:`\vec{Q_\perp}=\vec{Q}-\frac{\vec{u}}{|u|^2}(\vec{u}\cdot \vec{Q})` -- The length of the orthogonal to axis :math:`\vec{u}` part of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` origin (``offset``) in :math:`hkl`. +- :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}(\vec{e_z}\cdot \vec{Q})` -- + The length of the orthogonal to axis :math:`\vec{e_z}` part of the momentum transfer + :math:`\vec{Q}` measured from the ``cylinder_proj`` origin (``offset``) in :math:`hkl`. - :math:`Q_{\|}` -- The length of the projection of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` - origin (``offset``) in :math:`hkl` to :math:`\vec{u}` axis of the ``cylinder_proj`` + origin (``offset``) in :math:`hkl` to :math:`\vec{e_z}` axis of the ``cylinder_proj`` - :math:`\phi` -- is the angle measured between the vector :math:`\vec{Q_\perp}` to the plane :math:`\vec{u}`-:math:`\vec{v}` , i.e. :math:`0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` plane and :math:`90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane (i.e. parallel to :math:`\vec{e_y}`). -- :math:`E` is the energy transfer as defined in ``line_proj`` +- :math:`E` -- is the energy transfer as defined in ``line_proj`` .. note:: @@ -1065,7 +1081,7 @@ of vectors expressed in Cartesian coordinate system to cylindrical coordinate sy When it comes to cutting and plotting, we can use a ``cylinder_proj`` in exactly the same way as we would a ``line_proj``, but with one key difference. The binning arguments of ``cut`` no longer refer to -:math:`h,k,l,E`, but to :math:`Q_{\perp}`, :math:`Q_{\|}`, :math:`\phi`, :math:`E` variables. +:math:`h,k,l,E`, but to :math:`Q_{\perp}` (``Q_tr``), :math:`Q_{\|}`, :math:`\phi`, :math:`E` variables. .. code-block:: matlab @@ -1076,7 +1092,7 @@ difference. The binning arguments of ``cut`` no longer refer to The form of the arguments to ``cut`` is still the same (see: `Binning arguments`_). However: - - :math:`Q_{\perp}` runs from :math:`[0, \infty)` -- attempt to use :math:`Q_{\perp}` with a minimum + - :math:`Q_{\perp}` (``Q_tr``) runs from :math:`[0, \infty)` -- attempt to use :math:`Q_{\perp}` with a minimum bound smaller than :math:`0` will fail. - :math:`\phi` runs between :math:`[-180, 180]` -- requesting binning outsize of these ranges will fail. @@ -1155,10 +1171,6 @@ function of :math:`Q_{\perp}` at different :math:`Q_{||}`: Cylindrical cuts along :math:`Q_{\perp}` -.. note:: - - The script above lets you take up to 4 cuts by changing ``n_cuts``, here we - present just two for clarify. Additional notes ---------------- @@ -1176,6 +1188,8 @@ Additional notes ``[lo1,0,hi1]`` instead of ``[]`` (the '0' means 'use existing bin size'). +.. _bin_ranges_calculations: + Changing Projections ^^^^^^^^^^^^^^^^^^^^ @@ -1199,7 +1213,7 @@ spherical projection, the meanings are: If you provide automatic binning arguments, an algorithm will attempt to create the minimum bounding shape in the new projection that entirely -encapsulates the source projection. The parameters from this bounding shape +encapsulates the source object. The parameters from this bounding shape will then be substituted into the places where automatic binning arguments are requested. @@ -1248,10 +1262,13 @@ remain a plot axis in the target projection, as expected. .. warning:: In contrast to cutting without a projection change, when changing - projections ``[]`` and ``[0]`` have different meanings. + projections ``[]`` and ``[0]`` may behave differently. - - ``[]`` will take the number of bins in the source dimension - - ``[0]`` will take the step length in the source dimension + - ``[]`` takes the number of bins in the source dimension + - ``[0]`` takes the step length in the source dimension + + Without projection change this always produces reasonable result, but + change in projection applies these values to different coordinate set. Cutting with ``[0]`` may lead to strange or incorrect results when changing projections. E.g. a q-step of ``0.01`` may be reasonable in a @@ -1280,9 +1297,10 @@ remain a plot axis in the target projection, as expected. 1.5843 90.0000 179.9641 This range may be inaccurate' - The user must evaluate how acceptable this result is for the desired cut and - if in doubt, specify the binning arguments manually to get their desired - binning. + Here upper row refers to lower auto-binning limit and lower row returns maximal + auto-binning limit. The user must evaluate how acceptable this result is for + the desired cut and if in doubt, specify the binning arguments manually to + get their desired binning. 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z&=Nk@L25zn>Tg(miLyi_)oB3e0YoszLXt;qbCb?*tOGPuiP@=jz;geX{+j?^$*e2x)PBAgyEw((p z{lzxspP>aPh613Ia*l&(03K-r=k2fOK|ycO!_A4g>R)%30Oz3(D8bObViO`54eX-= zbx~Kh5)xOj8HpI+Z)*RNqgH^rM>%+Uh!mbnfxlT-ae+)Q!gF*@A|bJ_0-?;K?+t;s zCzP*fC6#B0K!GV|_tay1k}<$dyx8DU#6b^OZ&xU8XI@ju0Uv8edGlKJRk@7Wr~d;| CPt)rF diff --git a/documentation/user_docs/docs/images/sphere_proj_coordinates.tex b/documentation/user_docs/docs/images/sphere_proj_coordinates.tex index 0bb2a85a3e..afb77091d3 100644 --- a/documentation/user_docs/docs/images/sphere_proj_coordinates.tex +++ b/documentation/user_docs/docs/images/sphere_proj_coordinates.tex @@ -19,7 +19,7 @@ \draw [line width=2pt,->] (0,0,0) -- (3,3,3) node [above] {$\vec{Q}$}; \draw [dotted] (3,3,3) -- (3,3,0); - \draw [dashed,->] (0,0,0) -- (3,3,0); + \draw [dashed,->] (0,0,0) -- (3,3,0) node [right,xshift=-0.8cm,yshift=1.2cm] {$\vec{Q_{\perp}}$}; \draw [->] (0,0,0.6) arc [start angle=170,end angle=120,x radius=1.2,y radius=0.9] node [above,yshift=0.3cm] {$\theta{}$}; \draw [->] (2.5,0,0) arc [start angle=0,end angle=44,x radius=4,y radius=2] node [below,xshift=-0.8cm,yshift=-0.1cm] {$\phi$}; diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 634433a3cd..90c1edbbd5 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -38,7 +38,7 @@ data, a user works with smaller objects, extracted from the full dataset using ``cut`` uses this information to extract relevant pixels and maintains the arrangement between bins and "pixels" for resulting ``sqw`` object. -:: _cut: +.. _cut: cut === @@ -711,7 +711,8 @@ is the difference between ``offset`` and the measured momentum transfer. Because reciprocal lattice may be non-orthogonal lattice, following common crystallography practice, we introduce auxiliary -orthogonal coordinate system, which unit vector :math:`\vec{e_z}` being parallel to +orthogonal coordinate system, which gives the basis for calculating spherical coordinates. +Unit vector :math:`\vec{e_z}` of this system is parallel to :math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. (see :ref:`Sphere coordinates ` below.) When crystal lattice is @@ -726,10 +727,8 @@ Then ``sphere_proj`` coordinates are: i.e. :math:`0^{\circ}` is parallel to :math:`\vec{e_z}` and :math:`90^{\circ}` is perpendicular to :math:`\vec{u}`. -- :math:`\phi` -- is the angle measured between the projection of vector - :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}\cdot \vec{Q})` to the plane - :math:`\vec{u}`-:math:`\vec{v}`, i.e. :math:`0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` - plane and :math:`90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane. +- :math:`\phi` -- is the angle measured between the vector :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}(\vec{e_z}\cdot \vec{Q})` + and the plane :math:`\vec{u}`-:math:`\vec{v}`, i.e. vector :math:`\vec{Q_\perp}` with :math:`\phi = 0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` plane and vector :math:`\vec{Q_\perp}` with :math:`\phi = 90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane. (parallel to :math:`\vec{e_y}`) - :math:`E` is the energy transfer as defined in ``line_proj`` @@ -1028,15 +1027,24 @@ where: positional or keyword arguments `. However the same recommendation applies that positional should only be used to define ``u`` and ``v``. + +``cylinder_proj`` defines a cylindrical coordinate system with +cylindrical coordinates of momentum transfer vector :math:`\vec{Q}`. +Energy transfer coordinate for ``cylinder_proj`` remain unchanged. +If projection ``offset`` parameter is zero, this vector is the vector +of momentum transfer from neutron to excitations -- lattice measured +in scattering experiment. If offset is non-zero, :math:`\vec{Q}` +is the difference between ``offset`` and the measured momentum transfer. Similarly to :ref:`Spherical projections `, we introduce auxiliary orthogonal coordinate system, which unit vector :math:`\vec{e_z}` being parallel to :math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` -and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. (see :ref:`Cylinder coordinates ` below.) +and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. Cylindrical +coordinates of the vectors of interest are calculated in this system. +(see :ref:`Cylinder coordinates ` below.) When crystal lattice is orthogonal, vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. - ``cylinder_proj`` defines a cylindrical coordinate system, where: - :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}(\vec{e_z}\cdot \vec{Q})` -- From a376128672eddefaca29ca958d0816b1f574546a Mon Sep 17 00:00:00 2001 From: abuts Date: Mon, 20 May 2024 10:14:14 +0100 Subject: [PATCH 11/16] Re #1686 minor changes to description (type(2:3)) --- ...Cutting_data_of_interest_from_SQW_files_and_objects.rst | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 90c1edbbd5..0004e258e4 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -738,7 +738,7 @@ Then ``sphere_proj`` coordinates are: - :math:`\theta` lies in the range between :math:`0^{\circ}` and :math:`180^{\circ}`. - :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. - Alternatively you can set ``sphere_proj`` option ``type`` to define these values in radians. + Alternatively you can set ``sphere_proj`` option ``type(2:3)='rr'`` to define these values in radians. @@ -1063,8 +1063,9 @@ vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. .. note:: - :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. The ``cylinder_proj`` ``type`` - property allows to change these values to radians so :math:`-\pi \leq \phi \leq \pi`. + :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. + Changing ``cylinder_proj`` property ``type(3)='r'`` + allows to change these values to radians so :math:`-\pi \leq \phi \leq \pi`. .. _fig_cylinder_coodinates: From fd2dee4053655935a5dd07b5a023a442f0abc4d8 Mon Sep 17 00:00:00 2001 From: abuts Date: Tue, 21 May 2024 10:39:10 +0100 Subject: [PATCH 12/16] Re #1686 Changes from review (except image) --- ...of_interest_from_SQW_files_and_objects.rst | 30 +++++++++---------- 1 file changed, 15 insertions(+), 15 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 0004e258e4..4db048980c 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -6,16 +6,17 @@ Cutting data of interest from SQW files and objects .. |Q| replace:: :math:`|\textbf{Q}|` -Horace ``sqw`` object is the main object Horace operates with. +The Horace ``sqw`` object is the main object that Horace operates with. It contains full information about the results of a neutron experiment. This information includes information about each neutron "event" registered in the experiment. This information is stored in a 1-D dataset called the "pixels". -The dataset is usually the major by size part of ``sqw`` object. +This dataset is usually by far the largest part in size part of ``sqw`` object. Another part of ``sqw`` object is a 0 to 4-dimensional histogram (binning) -of the "pixels" in reciprocal space (``hkl-dE``) which we call the "image". +of the "pixels" in space of interest, most often the reciprocal space (``hkl-dE``), +which we call the "image". This carries only limited information about the original data, i.e. only the -averaged neutron intensity contributed into the reciprocal space bins. +averaged neutron intensity contributed into the image space bins. The "image" is the main part of Horace's ``dnd`` object -- the second by importance Horace's object. .. note:: @@ -86,8 +87,8 @@ where: There are also several extra optional arguments which are: -- ``-nopix`` drop the "pixels" from the resulting object returning just the ``dnd`` binned - data (the "image"). This option is faster and the resulting object requires +- ``-nopix`` remove the "pixels" from the resulting object returning just a ``dnd`` object, + i.e. binned data (the "image"). This option is faster and the resulting object requires less memory, but is also more restricted in what you can do with the result. - ``sym`` cell array of symmetry operations. For a full description of usage, :ref:`see @@ -135,7 +136,7 @@ etc. which contains information about the desired coordinate system representati w1 = cut(w, [], [lo1, hi1], [lo2, hi2], ...) -Different projections are covered in the :ref:`Projection in more details ` section below. +Different projections are covered in the :ref:`Projection in more detail ` section below. .. note:: @@ -151,7 +152,7 @@ Binning arguments The binning arguments (``p1_bin``, ``p2_bin``, ``p3_bin`` and ``p4_bin``) specify the binning / integration ranges for the Q & Energy axes in **the target -projection's** coordinate system (c.f. :ref:`Projection in more details ` and +projection's** coordinate system (c.f. :ref:`Projection in more detail ` and `changing projections`_). Each can independently have one of four different forms below. @@ -167,7 +168,7 @@ Each can independently have one of four different forms below. Empty brackets indicate that the cut algorithm should identify binning ranges itself. The step size of the target binning is taken equal to the step size of the binning currently present in the source image in the direction with the same - number as the number of binning argument ``[]``. In more details auto-binning algorithm is described + number as the number of binning argument ``[]``. In more detail auto-binning algorithm is described :ref:`below `. @@ -281,7 +282,7 @@ file. This file will not be a temporary file. .. _Projection_in_details: -Projection in more details +Projection in more detail -------------------------- As mentioned in `Projection (proj)`_, the ``proj`` argument defines the coordinate @@ -315,7 +316,7 @@ Where: - ``v`` 3-vector in reciprocal space :math:`(h,k,l)` in the plane of the second viewing axis. -- ``w`` 3-vector of in reciprocal space :math:`(h,k,l)` of the third viewing axis or empty value +- ``w`` 3-vector in reciprocal space :math:`(h,k,l)` of the third viewing axis or empty value at its place. @@ -702,12 +703,11 @@ where: ``sphere_proj`` defines a spherical coordinate system which contains spherical coordinates of momentum transfer vector :math:`\vec{Q}`. -Energy transfer coordinate for ``sphere_proj`` remain unchanged. If projection ``offset`` parameter is zero, this vector is the vector -of momentum transfer from neutron to excitations -- lattice measured +of momentum transfer from neutron to magnetic or phonon excitations measured in scattering experiment. If offset is not zero, :math:`\vec{Q}` is the difference between ``offset`` and the measured momentum transfer. - +Energy transfer coordinate for ``sphere_proj`` remain unchanged. Because reciprocal lattice may be non-orthogonal lattice, following common crystallography practice, we introduce auxiliary @@ -752,7 +752,7 @@ Then ``sphere_proj`` coordinates are: Spherical coordinate system used by ``sphere_proj`` -Alternative description of spherical coordinate system may be found on MATLAB help pages. +An alternative description of the spherical coordinate system may be found on MATLAB help pages. Horace uses MATLAB methods ``cart2sph`` and ``sph2cart`` to convert an array of vectors expressed in Cartesian coordinate system to spherical coordinate system and back. 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a/documentation/user_docs/docs/images/cylinder_proj_coordinates.tex +++ b/documentation/user_docs/docs/images/cylinder_proj_coordinates.tex @@ -9,10 +9,10 @@ \draw [fill=cyan] (0,0,0)--(6,0,-3)--(6,0,4.5)--(0,0,4.5) node [above, xshift=-1.5cm,yshift=-4cm] {$\vec{u}$-$\vec{v}$ plane}; \draw [,dashed] (4.2,0,0) arc [start angle=0,end angle=15,x radius=4,y radius=4.]; - \draw [line width=2pt] (0,0,0)--(0,0,2.5) node [above,xshift=0.4cm,yshift=-1.5cm] {$Q_{\|}$}; + \draw [line width=2pt] (0,0,0)--(0,0,2.5) node [above,xshift=0.3cm,yshift=-1.5cm] {$Q_{\|}$}; \draw [->] (0,0) -- (6.2,0,-3.1) node [right,xshift=0.3cm,yshift=.4cm] {$\vec{v}$}; \draw [->] (0,0) -- (0,5,0) node [above,xshift=-0.8cm,yshift=-0.8cm] {$\vec{e_y} = \vec{e_z} \times \frac{\vec{v}}{|v|}$}; - \draw [->] (0,0) -- (0,0,5) node [right,yshift=-0.5cm] {$\vec{u}$,$\vec{e_z}$}; + \draw [->] (0,0) -- (0,0,5) node [right,yshift=-0.5cm] {$\vec{u}$,$\vec{e_z}$;$\ \vec{u}\|\vec{e_z}$}; \draw [->] (0,0) -- (6,0,0) node [right,xshift=0.cm,yshift=-0.1cm] {$\vec{e_x}$ = $\vec{e_z} \times \vec{e_y}$}; @@ -23,7 +23,7 @@ = \draw [line width=2pt, ->] (0,0,0) -- (3,3,3) node [above] {$\vec{Q}$}; \draw [line width=1pt,dotted] (3,3,3) -- (3,3,0); - \draw [line width=2pt] (0,0,0) -- (3,3,0) node [above,xshift=-0.3cm,yshift=1cm] {$Q_{\perp}$}; + \draw [line width=2pt] (0,0,0) -- (3,3,0) node [above,xshift=-0.5cm,yshift=1cm] {$Q_{\perp}$}; \draw [->] (2.5,0,0) arc [start angle=0,end angle=44,x radius=4,y radius=2] node [below,xshift=-0.8cm,yshift=-0.1cm] {$\phi$}; From e0511cf27b756c42be2d18937578776f8c9ca520 Mon Sep 17 00:00:00 2001 From: abuts Date: Thu, 23 May 2024 22:30:54 +0100 Subject: [PATCH 14/16] Re #1686 minor comments and clarifications --- ...of_interest_from_SQW_files_and_objects.rst | 48 ++++++++++--------- 1 file changed, 26 insertions(+), 22 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 4db048980c..decf2d66b3 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -9,8 +9,9 @@ Cutting data of interest from SQW files and objects The Horace ``sqw`` object is the main object that Horace operates with. It contains full information about the results of a neutron experiment. This information includes information about each neutron "event" registered -in the experiment. This information is stored in a 1-D dataset called the "pixels". -This dataset is usually by far the largest part in size part of ``sqw`` object. +in the experiment. "events" information is stored in a 1-D dataset +called the "pixels". This dataset is usually by far the largest +part in size of ``sqw`` object. Another part of ``sqw`` object is a 0 to 4-dimensional histogram (binning) of the "pixels" in space of interest, most often the reciprocal space (``hkl-dE``), @@ -45,10 +46,11 @@ cut === ``cut`` takes a (or multiple) section(s) of data from an ``sqw`` or ``dnd`` -object or file, discards the pixels which lie outside of the binning regions -(described `below <#binning-arguments>`_) from an ``sqw`` and accumulates them -into a histogram (the "image" or ``dnd``, which may be independent if requested -or attached to the parent ``sqw``). It can return an object or file depending on +object or file, discards the pixels which lay outside of the binning regions +(described `below <#binning-arguments>`_), extracts contributing pixels and accumulates +their signal and variance into a histogram (the "image" or ``dnd``, +which may be independent if requested +or be part of the target ``sqw``). It can return an object or file depending on the parameters given. ``cut`` can produce objects of the same or reduced size and dimensions. The @@ -184,8 +186,8 @@ Each can independently have one of four different forms below. .. warning:: A two-component binning axis defines the integration region between bin - edges. For example, ``[-1 1]`` will capture pixels from ``-1`` to ``1`` - inclusive. + edges. For example, fourth binning range ``[-1 1]`` will capture pixels with + energy transfer from ``-1`` to ``1`` inclusive. - ``[lower,step,upper]`` Plot axis in binning direction. A three-component binning axis specifies plot axis. @@ -202,7 +204,7 @@ Each can independently have one of four different forms below. A three-component binning axis defines the integration region by bin centres, i.e. the limits of the data to be cut lie between ``min = lower-step/2`` and ``max = upper+step/2``, including ``min/max`` values. For example, ``[-1 1 - 1]`` will capture pixels from ``-1.5`` to ``1.5`` inclusive. + 1]`` will define image range from ``-1.5`` to ``1.5`` inclusive. - ``[lower, separation, upper, cut_width]`` A vector with four components defines **multiple** integration axes with @@ -709,12 +711,12 @@ in scattering experiment. If offset is not zero, :math:`\vec{Q}` is the difference between ``offset`` and the measured momentum transfer. Energy transfer coordinate for ``sphere_proj`` remain unchanged. -Because reciprocal lattice may be non-orthogonal lattice, following common crystallography -practice, we introduce auxiliary -orthogonal coordinate system, which gives the basis for calculating spherical coordinates. -Unit vector :math:`\vec{e_z}` of this system is parallel to -:math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` -and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. +Because reciprocal lattice may be non-orthogonal lattice, following common +crystallography practice, we introduce auxiliary +orthogonal coordinate system with zero located at ``offset``. This system gives the basis +for calculating spherical coordinates. Unit vector :math:`\vec{e_z}` of this system +is parallel to :math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal +to :math:`\vec{e_z}` and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. (see :ref:`Sphere coordinates ` below.) When crystal lattice is orthogonal, vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. @@ -788,8 +790,9 @@ difference. The binning arguments of ``cut`` no longer refer to - :math:`\phi` runs between :math:`[-180, 180]` Attempting to specify binning outside of these ranges will fail. Changing - ``sphere_proj`` ``type`` property from ``add`` to ``arr`` modifies angular ranges - into radians. + ``sphere_proj`` ``type(2:3)`` property from ``dd`` to ``rr`` changes + measurement units into radians, so both ranges and image axes will be expressed + in radians. ``sphere_proj`` 2D and 1D cuts examples: @@ -1032,15 +1035,16 @@ where: cylindrical coordinates of momentum transfer vector :math:`\vec{Q}`. Energy transfer coordinate for ``cylinder_proj`` remain unchanged. If projection ``offset`` parameter is zero, this vector is the vector -of momentum transfer from neutron to excitations -- lattice measured +of momentum transfer from neutron to magnetic or lattice excitations measured in scattering experiment. If offset is non-zero, :math:`\vec{Q}` is the difference between ``offset`` and the measured momentum transfer. Similarly to :ref:`Spherical projections `, we introduce auxiliary -orthogonal coordinate system, which unit vector :math:`\vec{e_z}` being parallel to -:math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal to :math:`\vec{e_z}` -and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. Cylindrical -coordinates of the vectors of interest are calculated in this system. +orthogonal coordinate system with zero at ``offset`` and unit vector :math:`\vec{e_z}` +being parallel to :math:`\vec{u}` and unit vector :math:`\vec{e_x}` +is orthogonal to :math:`\vec{e_z}` and laying in the plane defined by +:math:`\vec{u}` - :math:`\vec{v}`. Cylindrical coordinates of the vectors of interest +are calculated in this system. (see :ref:`Cylinder coordinates ` below.) When crystal lattice is orthogonal, vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. From 6524913f5a7451617f0d87f3358c4a1b0e5f98fd Mon Sep 17 00:00:00 2001 From: abuts Date: Thu, 23 May 2024 23:07:53 +0100 Subject: [PATCH 15/16] Re #1686 minor typo --- .../Cutting_data_of_interest_from_SQW_files_and_objects.rst | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index decf2d66b3..8d4b6d8f09 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -46,7 +46,7 @@ cut === ``cut`` takes a (or multiple) section(s) of data from an ``sqw`` or ``dnd`` -object or file, discards the pixels which lay outside of the binning regions +object or file, discards the pixels which lie outside of the binning regions (described `below <#binning-arguments>`_), extracts contributing pixels and accumulates their signal and variance into a histogram (the "image" or ``dnd``, which may be independent if requested @@ -319,7 +319,7 @@ Where: - ``v`` 3-vector in reciprocal space :math:`(h,k,l)` in the plane of the second viewing axis. - ``w`` 3-vector in reciprocal space :math:`(h,k,l)` of the third viewing axis or empty value - at its place. + at its place if you provide further positional parameters. .. note:: From b909e71ee535a601e4aef2a56d828be019e989f2 Mon Sep 17 00:00:00 2001 From: abuts Date: Tue, 28 May 2024 17:11:29 +0100 Subject: [PATCH 16/16] Re #1686 Changes from review --- ...of_interest_from_SQW_files_and_objects.rst | 213 ++++++++++-------- 1 file changed, 120 insertions(+), 93 deletions(-) diff --git a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst index 8d4b6d8f09..0b3ef1578f 100644 --- a/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst +++ b/documentation/user_docs/docs/manual/Cutting_data_of_interest_from_SQW_files_and_objects.rst @@ -6,19 +6,18 @@ Cutting data of interest from SQW files and objects .. |Q| replace:: :math:`|\textbf{Q}|` -The Horace ``sqw`` object is the main object that Horace operates with. -It contains full information about the results of a neutron experiment. -This information includes information about each neutron "event" registered -in the experiment. "events" information is stored in a 1-D dataset -called the "pixels". This dataset is usually by far the largest -part in size of ``sqw`` object. - -Another part of ``sqw`` object is a 0 to 4-dimensional histogram (binning) -of the "pixels" in space of interest, most often the reciprocal space (``hkl-dE``), -which we call the "image". -This carries only limited information about the original data, i.e. only the -averaged neutron intensity contributed into the image space bins. -The "image" is the main part of Horace's ``dnd`` object -- the second by importance Horace's object. +The ``sqw`` object is the main object Horace uses. +It contains complete information about the results of a neutron experiment. +This includes information about each neutron "event" registered +in the experiment. We refer to this information as the "pixels", +which make up the majority of the ``sqw`` 's memory usage. +Another key part of the ``sqw`` is a 0- to 4-dimensional histogram (binning) +of the "pixels", which we call the "image". Most often this binning is done +in reciprocal space (``hkl-dE``). +This carries only limited information about the original experiment, i.e. only the +average neutron intensity in each of the reciprocal space bins. +The "image" is the main part of Horace's ``dnd`` along with some +meta-information for displaying and analysing it. .. note:: @@ -35,12 +34,15 @@ data, a user works with smaller objects, extracted from the full dataset using .. note:: - "pixels" in 1D dataset are arranged in such a way, that simple calculation allows - to identify "pixels" contributing into every bin of a ``sqw`` object's ``image``. - ``cut`` uses this information to extract relevant pixels and maintains - the arrangement between bins and "pixels" for resulting ``sqw`` object. + The "pixels" can be mapped from their 4-D spatial coordinates into the "image" + by a transformation determined by the :ref:`projection (below) `. + ``cut`` computes the bin to which "pixel" contributes, + removing those pixels which do not contribute from the resulting ``sqw``. + + It also sorts the pixels according to which bins they are in, + in accordance with the bin's grid-index. + This improves the speed with which they can be processed. -.. _cut: cut === @@ -166,18 +168,31 @@ Each can independently have one of four different forms below. to ensure your cut is what you expect. -- ``[]`` Automatic binning calculations. - Empty brackets indicate that the cut algorithm should identify binning ranges itself. - The step size of the target binning is taken equal to the step size of the binning - currently present in the source image in the direction with the same - number as the number of binning argument ``[]``. In more detail auto-binning algorithm is described - :ref:`below `. - +- ``[]`` Automatic binning arguments. + Empty brackets indicate that the auto-binning algorithm will be + used by cut to determine the bounds. + The new axis bounds are calculated such that they encompass the + maximal extents of the data along the given projection axis. + + The step size is taken to be the step size of the corresponding + axis in the source image. + + .. note:: + + The auto-binning algorithm is described in more detail + :ref:`below `. + - ``[step]`` Automatic binning calculations with binning step size. - Single (scalar) number defines a plot axis with bin width equal to the number you specify. - The lower and upper limits are calculated by the same algorithm as the binning range in ``[]``-brackets case. + A single (scalar) number defines a plot axis. + The bin width will be equal to the number you specify. The lower and upper + limits will be determined by the auto-binning algorithm, as above. + +.. note:: + A value of ``[0]`` is equivalent to ``[]`` using the bin size + of the corresponding axis in the source image. + - ``[lo,hi]`` Integration axis in binning direction. A vector with two components defines integration axis. @@ -250,10 +265,11 @@ File- and memory-backed cuts ``cut`` generally tries to return its result in memory. However, if the resulting object is sufficiently large (the threshold of which is the product of -``mem_chunk_size`` and ``fb_scale_factor`` defined in the :ref:`Horace config -`), the object is written to a -temporary file and will be "file-backed". See :ref:`manual/Changing_Horace_settings:Changing Horace settings` -for more information about configuring Horace and changing the limits when object +``mem_chunk_size`` and ``fb_scale_factor`` defined in the ``hor_config`` class), the object is written to a +temporary file and will be "file-backed". + +See :ref:`manual/Changing_Horace_settings:Changing Horace settings` +for more information about ``hor_config``, configuring Horace and changing the limits when object may become filebacked. .. note:: @@ -318,8 +334,8 @@ Where: - ``v`` 3-vector in reciprocal space :math:`(h,k,l)` in the plane of the second viewing axis. -- ``w`` 3-vector in reciprocal space :math:`(h,k,l)` of the third viewing axis or empty value - at its place if you provide further positional parameters. +- ``w`` 3-vector in reciprocal space :math:`(h,k,l)` of the third viewing axis. If left empty + (``[]``) will default to :math:`\frac{\vec{u}}{|u|} \times \frac{\vec{v}}{|v|}`. .. note:: @@ -327,7 +343,7 @@ Where: The first viewing axis is strictly defined to be ``u``. The second viewing axis is constructed by default to be in the plane of ``u`` and ``v`` and perpendicular to ``u``. - The third viewing axes is by default defined as the cross product of the first + The third viewing axis is, by default, defined as the cross product of the first two (:math:`u \times{} v`). The fourth viewing axis is always energy and cannot be modified. @@ -700,47 +716,54 @@ where: Like ``line_proj``, ``sphere_proj`` can be :ref:`defined using positional or keyword arguments `. However the same - recommendation applies that positional should only be used to + recommendation applies that positionals should only be used to define ``u`` and ``v``. -``sphere_proj`` defines a spherical coordinate system which contains -spherical coordinates of momentum transfer vector :math:`\vec{Q}`. -If projection ``offset`` parameter is zero, this vector is the vector -of momentum transfer from neutron to magnetic or phonon excitations measured -in scattering experiment. If offset is not zero, :math:`\vec{Q}` -is the difference between ``offset`` and the measured momentum transfer. -Energy transfer coordinate for ``sphere_proj`` remain unchanged. - -Because reciprocal lattice may be non-orthogonal lattice, following common -crystallography practice, we introduce auxiliary -orthogonal coordinate system with zero located at ``offset``. This system gives the basis -for calculating spherical coordinates. Unit vector :math:`\vec{e_z}` of this system -is parallel to :math:`\vec{u}` and unit vector :math:`\vec{e_x}` is orthogonal -to :math:`\vec{e_z}` and lies in the plane defined by :math:`\vec{u}` - :math:`\vec{v}`. -(see :ref:`Sphere coordinates ` below.) When crystal lattice is -orthogonal, vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and -vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. +A ``sphere_proj`` defines a coordinate system which represents +momentum transfer vector :math:`\vec{Q}` in spherical coordinates. +``offset`` defines the zero point of the coordinate system. +If ``offset`` is zero, :math:`\vec{Q}` is the vector of momentum +transfer from the neutron to the magnetic or phononic excitations as +measured in the experiment. +The energy transfer coordinate for ``sphere_proj`` is the same as in +linear coordinates. + +Because the reciprocal lattice may be non-orthogonal (depending on the +sample), we follow common crystallography practice and introduce an +auxiliary orthogonal coordinate system defined below. This serves as +the basis for calculating spherical coordinates. +The basis vector :math:`\vec{e_z}` is a unit vector parallel to +:math:`\vec{u}`. The basis vector :math:`\vec{e_x}` is a unit vector +orthogonal to :math:`\vec{e_z}` which lies in the plane defined by +:math:`\vec{u}` and :math:`\vec{v}` (see :ref:`spherical coordinates +` below). + +.. note:: + When the crystal lattice is orthogonal, the vector + :math:`\vec{e_z}` is parallel to :math:`\vec{u}` and vector + :math:`\vec{e_x}` is parallel to :math:`\vec{v}`. + Then ``sphere_proj`` coordinates are: -- |Q| The radius from the origin (``offset``) in :math:`hkl` +- |Q| -- The radius from the origin (``offset``) in :math:`hkl` - :math:`\theta` -- The angle measured from :math:`\vec{e_z}` to the vector (:math:`\vec{Q}`), i.e. :math:`0^{\circ}` is parallel to :math:`\vec{e_z}` and :math:`90^{\circ}` is perpendicular to :math:`\vec{u}`. -- :math:`\phi` -- is the angle measured between the vector :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}(\vec{e_z}\cdot \vec{Q})` +- :math:`\phi` -- The angle measured between the vector :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}(\vec{e_z}\cdot \vec{Q})` and the plane :math:`\vec{u}`-:math:`\vec{v}`, i.e. vector :math:`\vec{Q_\perp}` with :math:`\phi = 0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` plane and vector :math:`\vec{Q_\perp}` with :math:`\phi = 90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane. (parallel to :math:`\vec{e_y}`) -- :math:`E` is the energy transfer as defined in ``line_proj`` +- :math:`E` -- The energy transfer as defined in ``line_proj`` .. note:: - :math:`\theta` lies in the range between :math:`0^{\circ}` and :math:`180^{\circ}`. - :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. - Alternatively you can set ``sphere_proj`` option ``type(2:3)='rr'`` to define these values in radians. + Where the ``type`` of an angular axis is ``r`` these values are the equivalent in radians. @@ -789,11 +812,9 @@ difference. The binning arguments of ``cut`` no longer refer to - :math:`\theta` runs between :math:`[0, 180]` - :math:`\phi` runs between :math:`[-180, 180]` - Attempting to specify binning outside of these ranges will fail. Changing - ``sphere_proj`` ``type(2:3)`` property from ``dd`` to ``rr`` changes - measurement units into radians, so both ranges and image axes will be expressed - in radians. - + Attempting to specify binning outside of these ranges will fail. + + Where the ``type`` of an angular axis is ``r`` these values are the equivalent in radians. ``sphere_proj`` 2D and 1D cuts examples: ________________________________________ @@ -1028,48 +1049,52 @@ where: Like ``line_proj``, ``cylinder_proj`` can be :ref:`defined using positional or keyword arguments `. However the same - recommendation applies that positional should only be used to + recommendation applies that positionals should only be used to define ``u`` and ``v``. + +A ``cylinder_proj`` defines a coordinate system which represents the +momentum transfer vector :math:`\vec{Q}` in cylindrical coordinates. +``offset`` defines the zero point of the coordinate system. +If ``offset`` is zero, :math:`\vec{Q}` is the vector of momentum +transfer from the neutron to the magnetic or phononic excitations as +measured in the experiment. +The energy transfer coordinate for ``cylinder_proj`` is the same as in +linear coordinates. + +As we do for :ref:`spherical projections `, we +introduce an auxiliary orthogonal coordinate system where: the basis +vector :math:`\vec{e_z}` is a unit vector parallel to :math:`\vec{u}` +and the basis vector :math:`\vec{e_x}` is orthogonal to +:math:`\vec{e_z}` and lies in the plane defined by :math:`\vec{u}` and +:math:`\vec{v}` (see :ref:`cylindrical coordinates +` below). + +.. note:: + When the crystal lattice is orthogonal, the vector + :math:`\vec{e_z}` is parallel to :math:`\vec{u}` and vector + :math:`\vec{e_x}` is parallel to :math:`\vec{v}`. -``cylinder_proj`` defines a cylindrical coordinate system with -cylindrical coordinates of momentum transfer vector :math:`\vec{Q}`. -Energy transfer coordinate for ``cylinder_proj`` remain unchanged. -If projection ``offset`` parameter is zero, this vector is the vector -of momentum transfer from neutron to magnetic or lattice excitations measured -in scattering experiment. If offset is non-zero, :math:`\vec{Q}` -is the difference between ``offset`` and the measured momentum transfer. - -Similarly to :ref:`Spherical projections `, we introduce auxiliary -orthogonal coordinate system with zero at ``offset`` and unit vector :math:`\vec{e_z}` -being parallel to :math:`\vec{u}` and unit vector :math:`\vec{e_x}` -is orthogonal to :math:`\vec{e_z}` and laying in the plane defined by -:math:`\vec{u}` - :math:`\vec{v}`. Cylindrical coordinates of the vectors of interest -are calculated in this system. -(see :ref:`Cylinder coordinates ` below.) -When crystal lattice is orthogonal, vectors :math:`\vec{e_z}` is aligned with :math:`\vec{u}` and -vector :math:`\vec{e_x}` is aligned with :math:`\vec{v}`. ``cylinder_proj`` defines a cylindrical coordinate system, where: -- :math:`\vec{Q_\perp}=\vec{Q}-\vec{e_z}(\vec{e_z}\cdot \vec{Q})` -- +- :math:`{Q_\perp}=|\vec{Q}-\vec{e_z}(\vec{e_z}\cdot \vec{Q})|` -- The length of the orthogonal to axis :math:`\vec{e_z}` part of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` origin (``offset``) in :math:`hkl`. - :math:`Q_{\|}` -- The length of the projection of the momentum transfer :math:`\vec{Q}` measured from the ``cylinder_proj`` origin (``offset``) in :math:`hkl` to :math:`\vec{e_z}` axis of the ``cylinder_proj`` -- :math:`\phi` -- is the angle measured between the vector :math:`\vec{Q_\perp}` to +- :math:`\phi` -- The angle measured between the vector :math:`\vec{Q_\perp}` to the plane :math:`\vec{u}`-:math:`\vec{v}` , i.e. :math:`0^{\circ}` lies in the :math:`\vec{u}`-:math:`\vec{v}` plane and :math:`90^{\circ}` is normal to :math:`\vec{u}`-:math:`\vec{v}` plane (i.e. parallel to :math:`\vec{e_y}`). -- :math:`E` -- is the energy transfer as defined in ``line_proj`` +- :math:`E` -- The energy transfer as defined in ``line_proj`` .. note:: :math:`\phi` lies in the range between :math:`-180^{\circ}` and :math:`180^{\circ}`. - Changing ``cylinder_proj`` property ``type(3)='r'`` - allows to change these values to radians so :math:`-\pi \leq \phi \leq \pi`. + When the third component of ``type`` is ``r``, these ranges are the equivalent in radians. .. _fig_cylinder_coodinates: @@ -1105,9 +1130,9 @@ difference. The binning arguments of ``cut`` no longer refer to The form of the arguments to ``cut`` is still the same (see: `Binning arguments`_). However: - - :math:`Q_{\perp}` (``Q_tr``) runs from :math:`[0, \infty)` -- attempt to use :math:`Q_{\perp}` with a minimum - bound smaller than :math:`0` will fail. - - :math:`\phi` runs between :math:`[-180, 180]` -- requesting binning outsize of these ranges will fail. + - :math:`Q_{\perp}` (``Q_tr``) runs from :math:`[0, \infty)` + - :math:`\phi` runs between :math:`[-180, 180]`. + Requesting binning outsize of these ranges will fail. ``cylinder_proj`` 2D and 1D cuts examples: @@ -1203,8 +1228,8 @@ Additional notes .. _bin_ranges_calculations: -Changing Projections -^^^^^^^^^^^^^^^^^^^^ +Auto-binning algorithm +^^^^^^^^^^^^^^^^^^^^^^ When a ``cut`` will change projections (i.e. the source projection type is different or the principal-axes are not orthogonal to the target projection) there are a few things to be aware of, @@ -1226,7 +1251,7 @@ spherical projection, the meanings are: If you provide automatic binning arguments, an algorithm will attempt to create the minimum bounding shape in the new projection that entirely -encapsulates the source object. The parameters from this bounding shape +encapsulates the source data. The parameters from this bounding shape will then be substituted into the places where automatic binning arguments are requested. @@ -1309,9 +1334,11 @@ remain a plot axis in the target projection, as expected. 0 0.0120 -179.9641 1.5843 90.0000 179.9641 This range may be inaccurate' - - Here upper row refers to lower auto-binning limit and lower row returns maximal - auto-binning limit. The user must evaluate how acceptable this result is for + + Here, the first line shows the estimated lower bound + and the second the estimated upper bound. + + The user must evaluate how acceptable this result is for the desired cut and if in doubt, specify the binning arguments manually to get their desired binning.

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