File size: 5,522 Bytes
5070096
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
standard library package SpatialItems {
	doc
	/*
	 * This package models physical items that have a spatial extent and act as a spatial frame of reference
	 * for obtaining position and displacement vectors of points within them.
	 */

	private import Objects::Point;
	private import SpatialFrames::SpatialFrame;
	private import Quantities::VectorQuantityValue;
	private import MeasurementReferences::ThreeDCoordinateFrame;
	private import MeasurementReferences::nullTransformation;
	private import Time::Clock;
	private import Time::TimeInstantValue;
	private import ScalarValues::Natural;
	private import ISQ::universalCartesianSpatial3dCoordinateFrame;
	private import ISQ::Position3dVector;
	private import ISQ::Displacement3dVector;
	private import VectorFunctions::isZeroVector;
	private import SequenceFunctions::isEmpty;
	private import ControlFunctions::forAll;
	
	item def SpatialItem :> SpatialFrame {
		doc
		/*
		 * A SpatialItem is an Item with a three-dimensional spatial extent that also acts as a SpatialFrame of reference.
		 */
	
		ref item :>> localClock : Clock[1] default Time::universalClock {
			doc
			/*
			 * A local Clock to be used as the corresponding time reference within this SpatialItem. 
			 * By default this is the singleton universalClock.
			 */
			}
		
		attribute coordinateFrame : ThreeDCoordinateFrame[1] default universalCartesianSpatial3dCoordinateFrame {
            doc
            /*
             * The three-dimensional CoordinateFrame to be used as the measurement reference for position 
             * and displacement vector values relative to this SpatialItem.
             * By default this is the singleton universalCartesianSpatial3dCoordinateFrame.
             */
        }
        		
		item originPoint : Point[1] :> spaceShots {
			doc
			/*
			 * The Point at the origin of the coordinateFrame of this SpatialItem.
			 */
		}
		
		assert constraint originPointConstraint {
			doc
			/*
			 * The CurrentPositionOf the originPoint must always be a zero vector.
			 */
		
			isZeroVector(CurrentPositionOf(originPoint, that))
		}

		item componentItems : SpatialItem[1..*] :> subitems {
			doc
			/*
			 * A SpatialItem with componentItems is entirely made up of those items (the SpatialItem occurs only
			 * as a collection of its componentItems).  By default they have the same localClock and equivalent
			 * coordinate frame as the SpatialItem they make up.  A SpatialItem without componentItems occurs
			 * on its own, separately from its subitems.
			 */		
			item :>> localClock default (that as SpatialItem).localClock;
			attribute :>> coordinateFrame {
				attribute :>> mRefs default (that.that as SpatialItem).coordinateFrame.mRefs;
				attribute :>> transformation[1] default nullTransformation {
					attribute :>> source default (that.that.that as SpatialItem).coordinateFrame;
				}
			}
		}

		private attribute cunionNum: Natural [1] = if isEmpty(componentItems) ? 0 else 1;
		private attribute componentUnion[cunionNum] :> unionsOf {
			doc
			/*
			 * A SpatialItem with componentItems is is a spatial union of them.
			 */
		
			item :>> elements : SpatialItem [1..*] = componentItems;
		}
	}

	calc def PositionOf :> SpatialFrames::PositionOf {
		doc
		/*
		 * The PositionOf a Point relative to a SpatialItem, at a specific TimeInstantValue relative to a given Clock,
		 * is a positionVector that is a VectorQuantityValue in the coordinateFrame of the SpatialItem.
		 * The default Clock is the localClock of the SpatialItem.
		 */
	
		in point : Point[1];
		in timeInstant : TimeInstantValue[1];
		in enclosingItem :>> 'frame' : SpatialItem[1];
		in clock : Clock[1] default enclosingItem.localClock;
		return positionVector : Position3dVector[1] {
			attribute :>> mRef = enclosingItem.coordinateFrame;
		}
	}

	calc def CurrentPositionOf :> SpatialFrames::CurrentPositionOf {
		doc
		/*
		 * The CurrentPositionOf a Point relative to a SpatialItem and a Clock is the PositionOf
		 * the Point relative to the SpatialItem at the currentTime of the Clock.
		 */
	
		in point : Point[1];
		in enclosingItem :>> 'frame' : SpatialItem[1];
		in clock : Clock[1] default enclosingItem.localClock;
		return positionVector : Position3dVector[1] {
			attribute :>> mRef = enclosingItem.coordinateFrame;
		}
	}

	calc def DisplacementOf :> SpatialFrames::DisplacementOf {
		doc
		/*
		 * The DisplacementOf two Points relative to a SpatialItem, at a specific TimeInstantValue relative to a
		 * given Clock, is the displacementVector computed as the difference between the PositionOf the 
		 * first Point and PositionOf the second Point, relative to that SpatialItem, at that timeInstant.
		 */
	
		in point1 : Point[1];
		in point2 : Point[1];
		in timeInstant : TimeInstantValue[1];
		in spatialItem :>> 'frame' : SpatialItem[1];
		in clock : Clock[1] default spatialItem.localClock;
		return displacementVector : Displacement3dVector[1] {
			attribute :>> mRef = spatialItem.coordinateFrame;
		}
	}

	calc def CurrentDisplacementOf :> SpatialFrames::CurrentDisplacementOf {
		doc
		/*
		 * The CurrentDisplacementOf two Points relative to a SpatialItem and a Clock is the DisplacementOf
		 * the Points relative to the SpatialItem, at the currentTime of the Clock.
		 */
	
		in point1 : Point[1];
		in point2 : Point[1];
		in spatialItem :>> 'frame' : SpatialItem[1];
		in clock : Clock[1] default spatialItem.localClock;
		return displacementVector : Displacement3dVector[1] {
			attribute :>> mRef = spatialItem.coordinateFrame;
		}
	}

}