IfcAxis2Placement3D定义了三维空间中物体的位置和方向,由三部分组成:

The attribute Axis defines the Z direction, RefDirection the X direction. The Y direction is derived.

注:Y轴方向由X轴和Z轴方向通过外积计算获得。

当Axis和RefDirection未定义时,X轴为P[1] ,默认值 [1.,0.,0.]。Y轴为P[2],默认值为[0.,1.,0.]。Z轴为P[3] ,默认值为[0.,0.,1.]。

属性定义

# Attribute Type Cardinality Description C
2 Axis IfcDirection [0:1] The exact direction of the local Z Axis. X
3 RefDirection IfcDirection [0:1] The direction used to determine the direction of the local X Axis. If necessary an adjustment is made to maintain orthogonality to the Axis direction. If Axis and/or RefDirection is omitted, these directions are taken from the geometric coordinate system. X
  P
:=IfcBuildAxes(Axis, RefDirection)
IfcDirection L[3:3] The normalized directions of the placement X Axis (P[1]) and the placement Y Axis (P[2]) and the placement Z Axis (P[3]). X
Rule Description
LocationIs3D The dimensionality of the placement location shall be 3.
AxisIs3D The Axis when given should only reference a three-dimensional IfcDirection.
RefDirIs3D The RefDirection when given should only reference a three-dimensional IfcDirection.
AxisToRefDirPosition The Axis and RefDirection shall not be parallel or anti-parallel.
AxisAndRefDirProvision Either both, Axis and RefDirection are not given and therefore defaulted, or both shall be given.
继承关系:

属性

# Attribute Type Cardinality Description C
IfcRepresentationItem
  LayerAssignment IfcPresentationLayerAssignment
@AssignedItems
S[0:1] Assignment of the representation item to a single or multiple layer(s). The LayerAssignments can override a LayerAssignments of the IfcRepresentation it is used within the list of Items. X
  StyledByItem IfcStyledItem
@Item
S[0:1] Reference to the IfcStyledItem that provides presentation information to the representation, e.g. a curve style, including colour and thickness to a geometric curve. X
IfcGeometricRepresentationItem
IfcPlacement
1 Location IfcCartesianPoint [1:1] The geometric position of a reference point, such as the center of a circle, of the item to be located. X
  Dim
:=Location.Dim
IfcDimensionCount [1:1] The space dimensionality of this class, derived from the dimensionality of the location. X
IfcAxis2Placement3D
2 Axis IfcDirection [0:1] The exact direction of the local Z Axis. X
3 RefDirection IfcDirection [0:1] The direction used to determine the direction of the local X Axis. If necessary an adjustment is made to maintain orthogonality to the Axis direction. If Axis and/or RefDirection is omitted, these directions are taken from the geometric coordinate system. X
  P
:=IfcBuildAxes(Axis, RefDirection)
IfcDirection L[3:3] The normalized directions of the placement X Axis (P[1]) and the placement Y Axis (P[2]) and the placement Z Axis (P[3]). X
 
ENTITY IfcAxis2Placement3D
SUBTYPE OF (IfcPlacement);
Axis : OPTIONAL IfcDirection;
RefDirection : OPTIONAL IfcDirection;
DERIVE
P : LIST [:] OF IfcDirection := IfcBuildAxes(Axis, RefDirection);
WHERE
LocationIs3D : SELF\IfcPlacement.Location.Dim = ;
AxisIs3D : (NOT (EXISTS (Axis))) OR (Axis.Dim = );
RefDirIs3D : (NOT (EXISTS (RefDirection))) OR (RefDirection.Dim = );
AxisToRefDirPosition : (NOT (EXISTS (Axis))) OR (NOT (EXISTS (RefDirection))) OR (IfcCrossProduct(Axis,RefDirection).Magnitude > 0.0);
AxisAndRefDirProvision : NOT ((EXISTS (Axis)) XOR (EXISTS (RefDirection)));
END_ENTITY;
DATA;
#= IFCORGANIZATION($,'Autodesk Revit 2015 (CHS)',$,$,$);
#= IFCAPPLICATION(#,'','Autodesk Revit 2015 (CHS)','Revit');
#= IFCCARTESIANPOINT((.,.,.));
#= IFCCARTESIANPOINT((.,.));
#= IFCDIRECTION((.,.,.));
#= IFCDIRECTION((-.,.,.));
#= IFCDIRECTION((.,.,.));
#= IFCDIRECTION((.,-.,.));
#= IFCDIRECTION((.,.,.));
#= IFCDIRECTION((.,.,-.));
#= IFCDIRECTION((.,.));
#= IFCDIRECTION((-.,.));
#= IFCDIRECTION((.,.));
#= IFCDIRECTION((.,-.)); #= IFCAXIS2PLACEMENT3D(#,$,$);
#= IFCAXIS2PLACEMENT3D(#,$,$);
#= IFCLOCALPLACEMENT($,#);
#= IFCLOCALPLACEMENT(#,#); #= IFCAXIS2PLACEMENT3D(#,$,$);
#= IFCLOCALPLACEMENT(#,#); #= IFCCARTESIANTRANSFORMATIONOPERATOR3D($,$,#,.,$);
#= IFCSHAPEREPRESENTATION(#,'Body','SweptSolid',(#));
#= IFCAXIS2PLACEMENT3D(#,$,$);
#= IFCREPRESENTATIONMAP(#,#); #= IFCMAPPEDITEM(#,#);
#= IFCSHAPEREPRESENTATION(#,'Body','MappedRepresentation',(#));
#= IFCPRODUCTDEFINITIONSHAPE($,$,(#)); #= IFCCARTESIANPOINT((1325.86888709244,31631.0676658748,.));
#= IFCAXIS2PLACEMENT3D(#,$,$);
#= IFCLOCALPLACEMENT(#,#);
#= IFCCOLUMN('2ILfSTle57UhpKxVJ8Mj7L',#,'\X2\7EFC5408697C\X0\-\X2\6DF751DD571F77E95F6267F1\X0\:450 x 600 mm:365232',$,'450 x 600 mm',#,#,'');

计算构件y轴方向

# = IfcDirection((0.,.,.));   //z轴
# = IfcDirection((.,.,.)); //x轴
# = IfcAxis2Placement3D($,#,#); //叉积计算出y轴 (0 ,1, 0)
# = IfcLocalPlacement($,#);
# = IfcDirection((.,.,.)); //z轴
# = IfcDirection((.,.,.)); //x轴
# = IfcAxis2Placement3D($,#,#); //叉积计算出y轴(1, 0, -1)
# = IfcLocalPlacement(#,#); //矩阵相乘(注意顺序)结果:x轴(0,0,1)y轴(1,0,0)z轴(0,1,0)

向量叉积计算

#include <iostream>

using namespace std;

struct Vec {
double x;
double y;
double z;
}; Vec ThreeCross(const Vec& a, const Vec& b)
{
Vec C;
C.x = a.y * b.z - a.z * b.y;
C.y = a.z * b.x - a.x * b.z;
C.z = a.x * b.y - a.y * b.x;
return C;
} int main()
{
Vec v1;
v1.x = ;
v1.y = ;
v1.z = ; Vec v2;
v2.x = ;
v2.y = ;
v2.z = ; Vec v3 = ThreeCross(v1,v2); cout << v3.x << " " << v3.y << " " << v3.z << endl; system("pause");
return ;
}

向量叉积计算公式:

a=(X1,Y1,Z1),b=(X2,Y2,Z2),
a×b=(Y1Z2 - Y2Z1,Z1X2 - Z2X1,X1Y2 - X2Y1)
V1(1,2,3)

V2(4,5,6)

V1 * V2=(12-15,12-6,5-8)=(-3,6,-3)

参考:https://blog.csdn.net/liyazhen2011/article/details/82347074

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