<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="nxdlformat.xsl" ?>
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# NeXus - Neutron and X-ray Common Data Format
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# Copyright (C) 2014-2016 NeXus International Advisory Committee (NIAC)
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-->
<definition xmlns="http://definition.nexusformat.org/nxdl/3.1" 
	category="contributed"
	name="NXtransformations" 
	version="1.1"
	type="group" 
	extends="NXobject"
	ignoreExtraGroups="true"
	ignoreExtraFields="true"
	ignoreExtraAttributes="true"
	xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
	xsi:schemaLocation="http://definition.nexusformat.org/nxdl/3.1 ../nxdl.xsd"
	>
				<!--	
						nxdl.xsd rules do not allow us to show this as a variable name
						- we'll use AXISNAME in ALL CAPS for consistency with the
						use in NXDATA.  We'll use ``AXISUNITS`` for the units appropriate
						to the type of axis.
				-->

	<doc>
		Collection of axis-based translations and rotations to describe a geometry.
		May also contain axes that do not move and therefore do not have a transformation
		type specified, but are useful in understanding coordinate frames within which
		transformations are done, or in documenting important directions, such as the
		direction of gravity.
		
		A nested sequence of transformations lists the offset and rotation steps needed 
		to describe the position and orientation of any movable or fixed device.

		There will be one or more transformations (axes) defined by one or more fields
		for each transformation.  The all-caps name ``AXISNAME`` designates the
		particular axis generating a transformation (e.g. a rotation axis or a translation
		axis or a general axis).   The all-caps name ``AXISUNITS`` designates the
		units appropriate to the transformation_type value, i.e. ``NX_LENGTH`` for
		``translation``, ``NX_ANGLE`` for ``rotation``, and ``NX_UNITLESS`` for
		axes for which no transformation type is specified.

		This class will usually contain all axes of a sample stage or goniometer or
		a detector.  The NeXus default McSTAS coordinate frame is assumed, but additional
		useful coordinate axes may be defined by using axes for which no transformation
		type has been specified.

		The entry point (``depends_on``) will be outside of this class and point to a
		field in here. Following the chain may also require following ``depends_on`` 
		links to transformations outside, for example to a common base table.  If
		a relative path is given, it is relative to the group enclosing the ``depends_on``
		specification.
		
		..
			Given an entry point :math:`\vec{p_i}`, the point :math:`\vec{p_{i+1}}` 
			resulting from the next transformation (the field in this group named 
			in the ``depends_on`` attribute of the entry point)
			may be expressed:
			
			.. math::
			
				\vec{p_{i+1}} = \vec{o_{i}} + \vec{V_{i}} * \vec{p_{i}}
			
			where :math`\vec{o_{i}}` is the vector given in the ``@offset`` attribute
			and  :math`\vec{V_{i}}` is the vector given in the ``@vector`` attribute
		
		TODO: this needs an equation (issue #484)
	</doc>
	<!-- see: http://wiki.nexusformat.org/Main_Page/NXdetector_2012_10
		
		This entire explanation is not clear.
		-->

	<field name="AXISNAME" nameType="any" units="AXISUNITS" type="NX_NUMBER" maxOccurs="unbounded">
		<doc>
			Units need to be appropriate for translation or rotation
			
			The name of this field is not forced.  The user is free to use any name
			that does not cause confusion.  When using more than one ``AXISNAME`` field,
			make sure that each field name is unique in the same group, as required
			by HDF5.

			The values given should be the start points of exposures for the corresponding
			frames.  The end points should be given in ``AXISNAME_end``.
		</doc>
		<attribute name="transformation_type" minOccurs="0">
			<doc>
				The transformation_type may be ``translation``, in which case the
				values are linear displacements along the axis, ``rotation``,
				in which case the values are angular rotations around the axis.

				If this attribute is omitted, this is an axis for which there
				is no motion to be specifies, such as the direction of gravity,
				or the direction to the source, or a basis vector of a
				coordinate frame.
			</doc>
			<enumeration>
				<item value="translation" />
				<item value="rotation" />
				<!-- <item value="general" /> -->
			</enumeration>
		</attribute>
		<attribute name="vector" units="NX_DIMENSIONLESS" type="NX_NUMBER">
			<doc>
				Three values that define the axis for this transformation.
				The axis should be normalized to unit length, making it
				dimensionless.  For ``rotation`` axes, the direction should be
				chosen for a right-handed rotation with increasing angle.
				For ``translation`` axes the direction should be chosen for
				increasing displacement.
			</doc>
			<dimensions rank="1" value="3" />
		</attribute>
		<attribute name="offset" type="NX_NUMBER">
			<doc>
				A fixed offset applied before the transformation (three vector components).
			</doc>
			<dimensions rank="1" value="3" />
		</attribute>
		<attribute name="offset_units" type="NX_CHAR">
			<doc>
				Units of the offset.  Values should be consistent with NX_LENGTH.
			</doc>
		</attribute>
		<attribute name="depends_on" type="NX_CHAR">
			<doc>
				Points to the path to a field defining the axis on which this
				depends or the string ".".
			</doc>
		</attribute>
	</field>
	<field name="AXISNAME_end" units="AXISUNITS" nameType="any" type="NX_NUMBER" minOccurs="0">
		<doc>
			``AXISNAME_end`` is a placeholder for a name constructed from the actual
			name of an axis to which ``_end`` has been appended.

			The values in this field are the end points of the motions that start
			at the corresponding positions given in the ``AXISNAME`` field.
		</doc>
	</field>
	<!-- as per NIAC discussion, 13 Oct 2016, we have removed AXISNAME_range as duplicative.	
	<field name="AXISNAME_range" units="AXISUNITS"  nameType="any" type="NX_NUMBER" minOccurs="0">
		<doc>
			AXISNAME_range is a placeholder for a name constructed from the actual
			name of an axis to which ``_range`` has been appended.

			The values in this optional field are differences between the values
			in the field AXISNAME_end and the field AXISNAME.
		</doc>
	</field>
	-->
	<field name="AXISNAME_increment_set" units="AXISUNITS"  nameType="any" type="NX_NUMBER" minOccurs="0">
		<doc>
			``AXISNAME_increment_set`` is a placeholder for a name constructed from the actual
			name of an axis to which ``_increment_set`` has been appended.

			The value of this optional field is the intended average range through which
			the corresponding axis moves during the exposure of a frame.  Ideally, the
			value of this field added to each value of ``AXISNAME`` would agree with the
			corresponding values of ``AXISNAME_end``, but there is a possibility of significant
			differences.  Use of ``AXISNAME_end`` is recommended. 
		</doc>
	</field>
</definition>