PVT: Modelling transformations in the CSS

Module #06.01.02 : Modelling transformations in the CSS

All PVT documentation can be found under PHIGS Validation Tests - Overview. You may also return to the hierarchical table of topics covered by the PVT. For an explanation of the format of the individual module documentation, please see section 2.5 of the User's Guide.


DESCRIPTION: This module tests the ability of the programmer to
set up elements in the CSS that control modelling transformations
and their behavior during traversal.

SEMANTIC REQUIREMENTS:

*** *** *** *** ***   Local transformations   *** *** *** *** ***

SR1.   <Set local transformation 3> creates a set local
transformation 3 element in the CSS.

#F 75
#D 7.3.3.1
#S 4.7.2/77/7
#T P01/1 P01/2 P01/3 P01/4 P09/1


SR2.   If current element is set local transformation 3 then
<inquire current element type and size> returns the element type
as set local transformation 3 and the appropriate element size.

#F 303
#D 7.3.3.1
#S 4.4.4/29/5
#T P01/1 P01/3


SR3.   If current element is set local transformation 3 then
<inquire current element content> returns the appropriate data
for set local transformation 3.

#F 304
#D 7.3.3.1
#S 4.4.4/29/5
#T P01/2 P01/4


SR4.   <Set local transformation> creates a set local
transformation element in the CSS.

#F 76
#D 7.3.3.2
#S 4.7.2/77/7
#T P01/5 P01/6 P09/2 P10/1 P10/3


SR5.   If current element is set local transformation then
<inquire current element type and size> returns the element type
as set local transformation and the appropriate element size.

#F 303
#D 7.3.3.2
#S 4.4.4/29/5
#T P01/5


SR6.   If current element is set local transformation then
<inquire current element content> returns the appropriate data
for set local transformation.

#F 304
#D 7.3.3.2
#S 4.4.4/29/5
#T P01/6


SR7.   The valid values for composition type in <set local
transformation 3> and <set local transformation> are
PRECONCATENATE, POSTCONCATENATE, and REPLACE.

#F 75 76
#D 7.3.3.1 7.3.3.2
#S 4.7.2/77/7
#T P01/2 P01/4 P01/6 P10/1


SR8.  When a set local transformation 3 element is traversed,
its 4x4 matrix, T, is combined with the current local modelling
transformation, L, to produce the new value of the current local
modelling transformation, L', according to the specified
composition type:
REPLACE         : L' = T
PRECONCATENATE  : L' = L x T
POSTCONCATENATE : L' = T x L

#F 75
#D 3.12.2 7.3.3.1
#S 4.7.2/77/7ff
#T P04/2 P04/3 P04/4 P04/6 P04/8 P08/3 P09/1 P09/2 P10/1 P10/3

*** *** *** ***   Global transformations   *** *** *** ***

SR9.   <Set global transformation 3> creates a set global
transformation 3 element in the CSS.

#F 77
#D 7.3.3.3
#S 4.7.2/78/2
#T P02/1 P02/2 P09/1


SR10.   If current element is set global transformation 3 then
<inquire current element type and size> returns the element type
as set global transformation 3 and the appropriate element size.

#F 303
#D 7.3.3.3
#S 4.4.4/29/5
#T P02/1


SR11.   If current element is set global transformation 3 then
<inquire current element content> returns the appropriate data
for set global transformation 3.

#F 304
#D 7.3.3.3
#S 4.4.4/29/5
#T P02/2


SR12.   <Set global transformation> creates a set global
transformation element in the CSS.

#F 78
#D 7.3.3.4
#S 4.7.2/78/2
#T P02/3 P02/4 P09/2 P10/2 P10/3


SR13.   If current element is set global transformation then
<inquire current element type and size> returns the element type
as set global transformation and the appropriate element size.

#F 303
#D 7.3.3.4
#S 4.4.4/29/5
#T P02/3


SR14.   If current element is set global transformation then
<inquire current element content> returns the appropriate data
for set global transformation.

#F 304
#D 7.3.3.4
#S 4.4.4/29/5
#T P02/4


SR15.  When a set global transformation 3 element is traversed,
its 4x4 matrix becomes the new value of the current global
modelling transformation.

#F 77
#D 3.12.1 7.3.3.3
#S 4.7.2/78/2
#T P04/5 P04/7 P08/1 P08/2 P09/1 P09/2 P10/2 P10/3

*** *** *** ***   Composite transformation   *** *** *** ***

SR16.  During traversal, the composite modelling transformation
is the current global modelling transformation X the current
local modelling transformation.

#F 75 76 77 78
#D 3.12.1 3.12.2
#S 4.7.2/77/3ff
#T P04/1 P04/2 P04/3 P04/4 P04/5 P04/6 P04/7 P04/8 P05/1 P05/2 P05/3
#T P05/4 P05/5 P05/6 P05/7 P05/8 P05/9 P09/1 P09/2 P10/1 P10/2 P10/3


SR17.  During traversal, the composite modelling transformation
(C) is applied to the modelling coordinates (MC) of graphical
output structure elements to generate graphical output primitives
in world coordinates (WC), as follows:
| WCx*w |   | C11 C12 C13 C14 |   | MCx |
| WCy*w | = | C21 C22 C23 C24 | X | MCy |
| WCz*w |   | C31 C32 C33 C34 |   | MCz |
|     w |   | C41 C42 C43 C44 |   | MC1 |
where WCx,y,z denote the values of the world coordinates and w is
a non-zero scale factor.

#F 9-24 75-78
#D 3.12.1 3.12.2 7.3.1
#S 4.7.2/77/3
#T P04/1 P04/2 P04/3 P04/4 P04/5 P04/6 P04/7 P04/8 P05/1 P05/2 P05/3
#T P05/4 P05/5 P05/6 P05/7 P05/8 P05/9 P08/1 P08/2 P08/3 P09/1 P09/2
#T P10/1 P10/2 P10/3 #C In homogeneous coordinates, the first three values in the
resulting column vector must be divided by the fourth value to
yield the x,y,z location in WC.

*** *** ***   Modelling transformation: 2D vs. 3D   *** *** ***

SR18.  When a set local or global transformation element is
traversed, a 4x4 matrix is derived from its specified 3x3 matrix
as described below, and is then processed just as the 4x4 matrix
of, respectively, a set local or global transformation 3
element.
| a b 0 c |                | a b c |
| d e 0 f |  derived from  | d e f |
| 0 0 1 0 |                | g h j |
| g h 0 j |

#F 76 78
#D 3.12.1 3.12.2 7.3.3.1 7.3.3.2 7.3.3.3 7.3.3.4
#S
#T P04/7 P04/8 P08/1 P08/3 P09/2 P10/1 P10/2 P10/3

*** *** ***   Modelling transformation: Network traversal   *** *** ***

SR19.  At the start of the top-level traversal of a structure
network (not a sub-traversal caused by execute structure), the
current global and local modelling transformations are both set
to the identity matrix.

#F 311 312
#D 2.23.1 2.23.2 3.12.1 3.12.2
#S 4.4.3/26/2 4.4.3/28/1 4.7.2/77/4 6.3/310/1
#T P04/1 P05/1 P10/1 P10/2 P10/3


SR20.  As part of the PHIGS traversal state list, the current
global and local modelling transformations are saved by execute
structure and then, upon completion of the sub-traversal of the
invoked network, restored to their former value.

#F 113
#D 3.12.1 3.12.2
#S 4.4.3/28/1 4.7.2/77/6
#T P05/1 P05/6 P05/7 P10/1 P10/2 P10/3


SR21.  At the start of a sub-traversal caused by execute
structure, after its value has been saved, the current global
modelling transformation for the newly entered structure is set
to the composite modelling transformation currently in effect for
the calling structure.

#F 113
#D 3.12.1
#S
#T P05/2 P05/3 P05/4 P05/5 P05/8 P05/9 P10/1 P10/2 P10/3


SR22.  At the start of a sub-traversal caused by execute
structure, after its value has been saved, the current local
modelling transformation for the newly entered structure is set
to the identity matrix.

#F 113
#D 3.12.2
#S
#T P05/2 P05/3 P05/4 P05/5 P05/8 P05/9 P10/1 P10/2 P10/3

*** *** ***   Modelling Clipping elements in CSS   *** *** ***

SR23.   <Set modelling clipping volume 3> creates a set modelling
clipping volume 3 element in the CSS.

#F 79
#D 7.3.3.5
#S 4.7.2/78/4
#T P03/1 P03/2 P11/1 P11/2 P12/1 P12/2 P13/1 P13/2 P13/3 P14/1 P15/1


SR24.   If current element is set modelling clipping volume 3
then <inquire current element type and size> returns the element
type as set modelling clipping volume 3 and the appropriate
element size.

#F 303
#D 7.3.3.5
#S 4.4.4/29/5
#T P03/1


SR25.   If current element is set modelling clipping volume 3
then <inquire current element content> returns the appropriate
data for set modelling clipping volume 3.

#F 304
#D 7.3.3.5
#S 4.4.4/29/5
#T P03/2


SR26.   <Set modelling clipping volume> creates a set modelling
clipping volume element in the CSS.

#F 80
#D 7.3.3.6
#S 4.7.2/78/4
#T P03/3 P03/4 P13/1 P13/2 P13/3 P15/1


SR27.   If current element is set modelling clipping volume then
<inquire current element type and size> returns the element type
as set modelling clipping volume and the appropriate element
size.

#F 303
#D 7.3.3.6
#S 4.4.4/29/5
#T P03/3


SR28.   If current element is set modelling clipping volume then
<inquire current element content> returns the appropriate data
for set modelling clipping volume.

#F 304
#D 7.3.3.6
#S 4.4.4/29/5
#T P03/4


SR29.   <Set modelling clipping indicator> creates a set
modelling clipping indicator element in the CSS.

#F 81
#D 7.3.3.7
#S 4.7.2/79/3
#T P03/11 P03/12 P03/13 P03/14 P12/1 P12/2 P15/2


SR30.   If current element is set modelling clipping indicator
then <inquire current element type and size> returns the element
type as set modelling clipping indicator and the appropriate
element size.

#F 303
#D 7.3.3.7
#S 4.4.4/29/5
#T P03/11 P03/13


SR31.   If current element is set modelling clipping indicator
then <inquire current element content> returns the appropriate
data for set modelling clipping indicator.

#F 304
#D 7.3.3.7
#S 4.4.4/29/5
#T P03/12 P03/14


SR32.   <Restore modelling clipping volume> creates a restore
modelling clipping volume element in the CSS.

#F 82
#D 7.3.3.8
#S 4.7.2/79/2
#T P03/15 P03/16


SR33.   If current element is restore modelling clipping volume
then <inquire current element type and size> returns the element
type as restore modelling clipping volume and the appropriate
element size.

#F 303
#D 7.3.3.8
#S 4.4.4/29/5
#T P03/15


SR34.   If current element is restore modelling clipping volume
then <inquire current element content> returns the appropriate
data for restore modelling clipping volume.

#F 304
#D 7.3.3.8
#S 4.4.4/29/5
#T P03/16

*** *** ***   Modelling Clipping Facilities   *** *** ***

SR35.   <Inquire modelling clipping facilities> reports the list
of available modelling clipping operators and the maximum number
of distinct planes for the current modelling clipping volume that
can be used during traversal.

#F 207
#D 2.23.5 2.23.6 2.23.7
#S
#T P03/5 P03/6 P08/3 P11/1 P11/2 P11/3 P11/4


SR36.   The list of available modelling clipping operators includes
1 and 2.

#F 79 80 207
#D 2.23.6 2.23.7
#S 4.7.2/79/1 4.14/113/3 4.14/114/2 6.3/311/4
#T P03/5


SR37.   The maximum number of distinct planes supported for the
current modelling clipping volume is at least 6.

#F 79 80 207
#D 2.23.5
#S 4.14/113/3 4.14/114/2 6.3/310/1
#T P03/6

*** *** ***   Setting Modelling Clipping Volume   *** *** ***

SR38.   All integers are valid values for the modelling clipping
operator when creating a set modelling clipping volume element in
the CSS.

#F 79 80
#D 7.3.3.5 7.3.3.6
#S
#T P03/7 P03/8 P13/1 P13/2 P13/3


SR39.   Any non-negative number of half-spaces may be specified
when creating a set modelling clipping volume element in the CSS.

#F 79 80
#D 7.3.3.5 7.3.3.6
#S
#T P03/9 P03/10 P12/3


SR40.  A set modelling clipping volume 3 element specifies each
half-space in MC by designating a point on the boundary plane,
and a vector normal to the plane, pointing into the half-space.

#F 79
#D 7.3.3.5
#S 4.7.2/78/4
#T P06/2 P06/3 P06/4 P06/5 P06/6 P07/1 P07/2 P07/3 P07/4 P07/5 P07/6
#T P07/7 P07/8 P07/9 P07/10 P08/1 P08/2 P08/3 P11/1 P11/2 P11/3 P11/4
#T P12/1 P12/2 P13/1 P13/2 P13/3 P14/1 P15/1 P16/1 P16/2 P17/1 P17/2
#T P17/3 P17/4 P18/1 P18/2 P18/3 P18/4


SR41.  The 3D volume in MC specified by a set modelling clipping
volume 3 element is the set of all points, P, such that all the
specified half-spaces contain P, i.e. their intersection.

#F 79
#D 7.3.3.5
#S 4.7.2/78/4 4.7.2/78/6
#T P06/2 P06/3 P06/4 P06/5 P06/6 P11/1 P11/2 P12/1 P12/2 P12/3 P15/1
#T P16/1 P16/2 P17/1 P17/2 P17/3 P17/4 P18/1 P18/2 P18/3 P18/4 #C In the vacuous case where zero half-spaces are specified, the
volume is therefore all of MC space.


SR42.  When a set modelling clipping volume 3 element is
traversed, its 3D volume in MC is transformed by the composite
modelling transform to yield the specified WC clipping volume.

#F 79
#D 3.12.1 3.12.2 7.3.3.5
#S 4.7.2/78/5
#T P06/1 P06/2 P06/3 P06/4 P06/5 P06/6 P08/1 P08/2 P08/3 P11/1 P11/2
#T P12/1 P12/2 P15/1 P16/1 P16/2 P17/1 P17/2 P17/3 P17/4 P18/1 P18/2
#T P18/3 P18/4


SR43.  When a realizable set modelling clipping volume 3 element is
traversed, its specified WC volume, S, is combined with the
current modelling clipping volume, T, to produce the new value of
the current modelling clipping volume T', according to the
specified operator value:
Operator
--------
1 (replace)   : T' = S
2 (intersect) : T' = T AND S

#F 79
#D 3.12.3 7.3.3.5
#S 4.7.2/78/4 4.7.2/78/7ff
#T P06/2 P06/3 P06/4 P06/5 P06/6 P07/1 P07/2 P07/3 P07/4 P07/5 P07/6
#T P07/7 P07/8 P07/9 P07/10 P08/1 P08/2 P08/3 P11/1 P11/2 P12/3 P13/1
#T P13/2 P13/3 P14/1 P15/1 P16/1 P16/2 P17/1 P17/2 P17/3 P17/4 P18/1
#T P18/2 P18/3 P18/4


SR44.  The effect on the current modelling clipping volume of all
entries greater than 2 in the list of available modelling
clipping operators is as defined in the ISO register.

#F 79
#D 2.23.7 3.12.3 7.3.3.5
#S 4.7.2/79/1
#T P11/3


SR45.  The effect on the current modelling clipping volume of all
entries less than 1 in the list of available modelling clipping
operators is as defined in the implementor documentation.

#F 79
#D 2.23.7 3.12.3 7.3.3.5
#S 4.7.2/79/1
#T P11/4


SR46.  When a set modelling clipping volume 3 element is
traversed and its operator is not in the list of available
modelling clipping operators, the element is ignored.

#F 79
#D 2.23.7 3.12.3 7.3.3.5
#S
#T P13/1


SR47.  When a set modelling clipping volume 3 element is traversed and
the current modelling clipping volume that would normally result
exceeds the maximum number of distinct planes, the element is ignored.

#F 79
#D 2.23.5 3.12.3 7.3.3.5
#S
#T P13/2 #C See defect report 9592-1/024


SR48.  When a set modelling clipping volume 3 element is
traversed and any of its half-spaces is degenerate, the element
is ignored.

#F 79
#D 3.12.3 7.3.3.5
#S
#T P13/3 #C A half-space is degenerate iff its normal vector = [0,0,0].


SR49.  When a set modelling clipping volume element is traversed,
a 3D volume in MC is derived from the specified 2D volume in MC
by setting the z-coordinate of each point and normal vector to 0
and is then processed just as the 3D volume of a set modelling
clipping volume 3 element.

#F 80
#D 7.3.3.5 7.3.3.6
#S
#T P06/6 P08/1 P08/3 P12/2 P15/1


SR50.  At the start of the top-level traversal of a structure
network (not a sub-traversal caused by execute structure), the
current modelling clipping volume is all of WC space.

#F 311 312
#D 2.23.3 3.12.3
#S 4.4.3/26/2 4.4.3/28/1 6.3/310/1
#T P06/1 P06/2 P06/4 P15/1


SR51.  As part of the PHIGS traversal state list, the current
modelling clipping volume is saved by execute structure and then,
upon completion of the sub-traversal of the invoked network,
restored to its former value.

#F 113
#D 3.12.3
#S 4.4.3/28/1
#T P07/2 P07/3 P07/5 P07/6 P07/8 P14/1 P15/1

*** *** *** ***   Effect of Clipping Indicator   *** *** *** ***

SR52.   The valid values for clipping indicator in <set modelling
clipping indicator> are CLIP and NOCLIP.

#F 81
#D 7.3.3.7
#S 4.7.2/79/3
#T P03/12 P03/14 P12/1 P12/2 P15/2


SR53.  When a set modelling clipping indicator element is
traversed, the current modelling clipping indicator is set to its
specified value (CLIP or NOCLIP).

#F 81
#D 3.12.4 7.3.3.7
#S 4.7.2/79/3
#T P12/1 P12/2 P15/2 P16/1 P16/2 P17/1 P17/2 P17/3 P17/4 P18/1 P18/2
#T P18/3 P18/4


SR54. At the start of the top-level traversal of a structure
network (not a sub-traversal caused by execute structure), the
current modelling clipping indicator is set to NOCLIP.

#F
#D 2.23.4 3.12.4
#S 4.4.3/26/2 4.4.3/28/1 6.3/310/1
#T P15/2


SR55. As part of the PHIGS traversal state list, the current
modelling clipping indicator is saved by execute structure and
then, upon completion of the sub-traversal of the invoked
network, restored to its former value.

#F 113
#D 3.12.4
#S 4.4.3/28/1
#T P15/2

*** ***   Effect of Restore Modelling Clipping Volume   *** ***

SR56.  When a restore modelling clipping volume element is traversed,
the current modelling clipping volume is reset to the value inherited
by the structure being traversed.

#F 82
#D 3.12.3 7.3.3.8
#S 4.7.2/79/2
#T P07/9 P07/10 P14/1

*** *** ***   Appearance of clipped primitives   *** *** ***

SR57.  Except as noted below, when a graphical output primitive
is generated in WC from a structure element during traversal, any
part of it lying outside the current modelling clipping volume in
WC space is eligible for modelling clipping; all other parts are
ineligible.

#F 9-24 79 80 82
#D 3.12.1 3.12.2 3.12.3 7.3.1
#S 4.5.5/48/2 4.7.2/78/3
#T P06/2 P06/3 P06/4 P06/5 P06/6 P07/1 P07/2 P07/3 P07/4 P07/5 P07/6
#T P07/7 P07/8 P07/9 P07/10 P08/1 P08/2 P08/3 P11/3 P11/4 P15/1 P15/2
#T P16/1 P16/2 P17/1 P17/2 P17/3 P17/4 P18/1 P18/2 P18/3 P18/4


SR58.  The portions of graphical primitives which are eligible
for modelling clipping are model-clipped (not visible) if and
only if the value of the current modelling clipping indicator is
CLIP.

#F 81
#D 3.12.4 7.3.1
#S 4.7.2/79/3
#T P12/1 P12/2 P15/1 P15/2 P16/1 P16/2 P17/1 P17/2 P17/3 P17/4 P18/1
#T P18/2 P18/3 P18/4 #C Primitives are subject to viewing and workstation clipping,
as well as modelling clipping.


SR59.  If the WC position of a polymarker is outside the current
modelling clipping volume, the entire polymarker is model-clipped.

#F 11 12
#D 3.12.3 3.12.4 7.3.1.3 7.3.1.4
#S 4.5.4/44/4
#T P11/1 P11/2 P12/1 P12/2 P15/1 P15/2 P16/2


SR60.  In CHAR precision, any text character lying wholly within
the current modelling clipping volume is not model-clipped and
any text character lying wholly outside is model-clipped;
in STRING precision, clipping is workstation dependent.

#F 13 14
#D 3.12.3 3.12.4 7.3.1.5 7.3.1.6
#S 4.5.5/47/5
#T P17/2 #C In STROKE precision, modelling clipping is applied exactly, as
described under SR57.


SR61.  If the WC position of its reference point is outside the
current modelling clipping volume, the entire annotation text
primitive, including style components, is model-clipped.

#F 15 16
#D 3.12.3 3.12.4 7.3.1.7 7.3.1.8
#S 4.5.6/55/6
#T P17/3


SR62.  If the WC position of its reference point is inside the
current modelling clipping volume, that part of the annotation
text primitive also inside the current modelling clipping volume
is not model-clipped.

#F 15 16
#D 3.12.3 3.12.4 7.3.1.7 7.3.1.8
#S 4.5.6/55/6
#T P17/3 P17/4 #C The manner in which modelling clipping is applied to that part
of the annotation text primitive outside the current modelling
clipping volume is workstation dependent.


SR63.  When fill areas or fill area sets using interior style
HOLLOW are model-clipped, the bounding polyline is drawn along
the boundaries created by clipping.

#F 17 18 19 20
#D 3.12.3 3.12.4 7.3.1.9 7.3.1.10 7.3.1.11 7.3.1.12
#S 4.5.8/58/4
#T P18/1


SR64.  For fill area sets, new boundaries created by modelling
clipping are not displayed as edges.

#F 19 20
#D 3.12.3 3.12.4 7.3.1.11 7.3.1.12
#S 4.5.1/35/7 4.5.9/62/6 4.5.9/62/11
#T P18/3

LOCAL DICTIONARY:


  Functions ---
  009: ppl3    <polyline 3>
  010: ppl     <polyline>
  011: ppm3    <polymarker 3>
  012: ppm     <polymarker>
  013: ptx3    <text 3>
  014: ptx     <text>
  015: patr3   <annotation text relative 3>
  016: patr    <annotation text relative>
  017: pfa3    <fill area 3>
  018: pfa     <fill area>
  019: pfas3   <fill area set 3>
  020: pfas    <fill area set>
  021: pca3    <cell array 3>
  022: pca     <cell array>
  023: pgdp3   <generalized drawing primitive 3>
  024: pgdp    <generalized drawing primitive>
  075: pslmt3  <set local transformation 3>
  076: pslmt   <set local transformation>
  077: psgmt3  <set global transformation 3>
  078: psgmt   <set global transformation>
  079: psmcv3  <set modelling clipping volume 3>
  080: psmcv   <set modelling clipping volume>
  081: psmcli  <set modelling clipping indicator>
  082: prmcv   <restore modelling clipping volume>
  113: pexst   <execute structure>
  207: pqmclf  <inquire modelling clipping facilities>
  303: pqcets  <inquire current element type and size>
  304: pqceco  <inquire current element content>
  311: piss3   <incremental spatial search 3>
  312: piss    <incremental spatial search>
 
  Data Structures ---
  2  ...  phigs_description_table
  2.23  ...  default_modelling_attributes
  2.23.1  ...  default_global_modelling_transformation
  2.23.2  ...  default_local_modelling_transformation
  2.23.3  ...  default_modelling_clipping_volume
  2.23.4  ...  default_modelling_clipping_indicator
  2.23.5  ...  maximum_number_of_distinct_planes_in_modelling_clipping_volume
  2.23.6  ...  number_of_available_modelling_clipping_operators
  2.23.7  ...  list_of_available_modelling_clipping_operators
  3  ...  phigs_traversal_state_list
  3.12 ...  current_modelling_attributes
  3.12.1  ...  current_global_modelling_transformation
  3.12.2  ...  current_local_modelling_transformation
  3.12.3  ...  current_modelling_clipping_volume
  3.12.4  ...  current_modelling_clipping_indicator
  7  ...  structure_state_list
  7.3  ...  list_of_structure_elements
  7.3.1  ...  graphical_primitives
  7.3.1.3  ...  polymarker_3
  7.3.1.4  ...  polymarker
  7.3.1.5  ...  text_3
  7.3.1.6  ...  text
  7.3.1.7  ...  annotation_text_relative_3
  7.3.1.8  ...  annotation_text_relative
  7.3.1.9  ...  fill_area_3
  7.3.1.10 ...  fill_area
  7.3.1.11 ...  fill_area_set_3
  7.3.1.12 ...  fill_area_set
  7.3.3  ...  modelling_transformation_elements
  7.3.3.1  ...  local_transformation_3
  7.3.3.2  ...  local_transformation
  7.3.3.3  ...  global_transformation_3
  7.3.3.4  ...  global_transformation
  7.3.3.5  ...  modelling_clipping_volume_3
  7.3.3.6  ...  modelling_clipping_volume
  7.3.3.7  ...  modelling_clipping_indicator
  7.3.3.8  ...  restore_modelling_clipping_volume
 
SEMANTIC CROSS-REFERENCES:
  02.03.03/SR10