User:DeepSOIC: Difference between revisions

From FreeCAD Documentation
(Created page with "<translate> <!--T:1--> {{GuiCommand|Name=Constraint Tangent|Workbenches=Sketcher, PartDesign|MenuLocation=Sketch → Sketcher c...")
 
(transform tangent into perpendicular)
Line 1: Line 1:
<translate>
<translate>
{{GuiCommand|Name=Constraint Perpendicular|Workbenches=[[Sketcher Workbench|Sketcher]], [[PartDesign Workbench|PartDesign]]|MenuLocation=Sketch → Sketcher constraints → Constrain perpendicular|Shortcut=N|SeeAlso=[[Constraint InternalAngle|Constraint Angle]]}}
<!--T:1-->
{{GuiCommand|Name=Constraint Tangent|Workbenches=[[Sketcher Workbench|Sketcher]], [[PartDesign Workbench|PartDesign]]|MenuLocation=Sketch → Sketcher constraints → Constrain tangent|SeeAlso=[[Constraint PointOnObject|Constraint point on object]]}}


==Description== <!--T:2-->
==Description==
Tangent Constraint makes two curves to touch each other (be tangent). Lines are treated infinite, and arcs are treated as full circles/ellipses. The constraint is also capable of connecting two curves, forcing them tangent at the joint, thus making the joint smooth.
Perpendicular Constraint makes two lines to be perpendicular to each other, or two curves to be perpendicular at their intersection. Lines are treated infinite, and arcs are treated as full circles/ellipses. The constraint is also capable of connecting two curves, forcing them perpendicular at the joint, similarly to [[Constraint Tangent|Tangent Constraint]].


==How to use== <!--T:3-->
==How to use==
There are four different ways the constraint can be applied:
There are four different ways the constraint can be applied:
# between two curves (available not for all curves)
# between two curves (available not for all curves)
# between two endpoints of a curve, making a smooth joint
# between two endpoints of a curve
# between a curve and an endpoint of another curve
# between a curve and an endpoint of another curve
# between two curves at user-defined point
# between two curves at user-defined point


To apply perpendicular constraint, one should the follow the steps:
<!--T:4-->
To apply tangent constraint, one should the follow the steps:
* Select two or three entities in the sketch.
* Select two or three entities in the sketch.
* Invoke the constraint by clicking its icon on the toolbar, or selecting the menu item, or using keyboard shortcut.
* Invoke the constraint by clicking its icon on the toolbar, or selecting the menu item, or using keyboard shortcut.


===Between two curves (direct tangency)=== <!--T:5-->
===Between two curves (direct perpendicularity)===
[[Image:Sketcher ConsraintTangent mode1.png|600px]]
[[Image:Sketcher ConsraintPerpendicular mode1.png|600px]]


Two curves will be made perpendicular at point of their intersection (either real, or of curves' extensions), and the point of intersection will be implicit. This mode is applied if two curves were selected.
<!--T:6-->
Two curves will be made tangent, and the point of tangency will be implicit. This mode is applied if two curves were selected.


<!--T:7-->
'''Accepted selection:'''
'''Accepted selection:'''
* line + line, circle, arc, ellipse, arc-of-ellipse
* line + line, circle, arc
* circle, arc + circle, arc
* circle, arc + circle, arc
If direct tangency between selected curves is not supported (e.g. between a circle and an ellipse), a helper point will be added to sketch automatically, and tangency-via-point will be applied.
If direct perpendicularity between selected curves is not supported (e.g. between a line and an ellipse), a helper point will be added to sketch automatically, and perpendicular-via-point will be applied.


Unlike for tangency, it is perfectly fine to reconstruct the point of perpendicularity by creating a point and constraining it to lie on both curves (thus constraining the point to the intersection).
<!--T:8-->
It is not recommended to reconstruct the point of tangency by creating a point and constraining it to lie on both curves. It will work, but the convergence will be seriously slower, jumpier, and will require about twice as many iterations to converge than normal. Use other modes of this constraint if the point of tangency is needed.


===Between two endpoints (point-to-point tangency)=== <!--T:9-->
===Between two endpoints (point-to-point perpendicularity)===
[[Image:Sketcher ConsraintTangent mode2.png|600px]]
[[Image:Sketcher ConsraintPerpendicular mode2.png|600px]]


In this mode, the endpoints are made coincident, and the joint is made to be right angle. This mode is applied when two endpoints of two curves were selected.
<!--T:10-->
In this mode, the endpoints are made coincident, and the joint is made tangent (C1-smooth, or "sharp", depending on the placement of curves before the constraint is applied). This mode is applied when two endpoints of two curves were selected.


<!--T:11-->
'''Accepted selection:'''
'''Accepted selection:'''
* endpoint of line/arc/arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., two endpoints of any two curves)
* endpoint of line/arc/arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., two endpoints of any two curves)


===Between curve and endpoint (point-to-curve tangency)=== <!--T:12-->
===Between curve and endpoint (point-to-curve perpendicularity)===
[[Image:Sketcher ConsraintTangent mode3.png|600px]]
[[Image:Sketcher ConsraintPerpendicular mode3.png|600px]]


In this mode, an endpoint of one curve is constrained to lie on the other curve, and the curves are forced perpendicular at the point. This mode is applied when a curve and an endpoint of another curve were selected.
<!--T:13-->
In this mode, an endpoint of one curve is constrained to lie on the other curve, and the curves are forced tangent at the point. This mode is applied when a curve and an endpoint of another curve were selected.


<!--T:14-->
'''Accepted selection:'''
'''Accepted selection:'''
* line, circle, arc, ellipse, arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., any curve + endpoint of any curve)
* line, circle, arc, ellipse, arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., any curve + endpoint of any curve)




===Between two curves at point (tangent-via-point) (v0.15)=== <!--T:15-->
===Between two curves at point (perpendicular-via-point) (v0.15)===
[[Image:Sketcher ConsraintTangent mode4.png|600px]]
[[Image:Sketcher ConsraintPerpendicular mode4.png|600px]]


In this mode, two curves are made perpendicular, and the point of perpendicularity is tracked. This mode is applied when two curves and a point were selected.
<!--T:16-->
In this mode, two curves are made tangent, and the point of tangency is tracked. This mode is applied when two curves and a point were selected.


<!--T:17-->
'''Accepted selection:'''
'''Accepted selection:'''
* any line/curve + any line/curve + any point
* any line/curve + any line/curve + any point
"Any point" can be a lone point, or a point of something, e.g. a center of a circle, an endpoint of an arc, or the origin.
"Any point" can be a lone point, or a point of something, e.g. a center of a circle, an endpoint of an arc, or the origin.


For the constraint to work correctly, the point must be on both curves. So, as the constraint is invoked, the point will be automatically constrained onto both curves ([[Sketcher helper constraint|helper constraints]] will be added, if necessary), and the curves will be forced perpendicular at the point. These [[Sketcher helper constraint|helper constraints]] are plain regular constraints. They can be added manually, or deleted.
<!--T:18-->
For the constraint to work correctly, the point must be on both curves. So, as the constraint is invoked, the point will be automatically constrained onto both curves ([[Sketcher helper constraint|helper constraints]] will be added, if necessary), and the curves will be forced tangent at the point. These [[Sketcher helper constraint|helper constraints]] are plain regular constraints. They can be added manually, or deleted.


Compared to direct perpendicular, this constraint is slower, because there are mode degrees of freedom involved, but it supports ellipses.
<!--T:19-->
Compared to direct tangency, this constraint is slower, because there are mode degrees of freedom involved, but if the point of tangency is needed, it is the recommended mode because it offers better convergence compared to direct tangency + point on two curves.


The placement of the point before the constraint is applied is a hint for the solver for where the perpendicularity should be.
<!--T:20-->
The placement of the point before the constraint is applied is a hint for the solver for where the tangency should be. With this constraint, one can constrain two ellipses to touch each other in two places.


==Scripting== <!--T:21-->
==Scripting==


Perpendicular Constraint can be created from [[macros]] and from the python console by using the following:
<!--T:22-->
Tangent Constraint can be created from [[macros]] and from the python console by using the following:
</translate>
</translate>
{{Code|code=
{{Code|code=
# direct tangency
# direct perpendicularity
Sketch.addConstraint(Sketcher.Constraint('Tangent',icurve1,icurve2))
Sketch.addConstraint(Sketcher.Constraint('Perpendicular',icurve1,icurve2))


# point-to-point tangency
# point-to-point perpendicularity
Sketch.addConstraint(Sketcher.Constraint('Tangent',icurve1,pointpos1,icurve2,pointpos2))
Sketch.addConstraint(Sketcher.Constraint('Perpendicular',icurve1,pointpos1,icurve2,pointpos2))


# point-to-curve tangency
# point-to-curve perpendicularity
Sketch.addConstraint(Sketcher.Constraint('Tangent',icurve1,pointpos1,icurve2))
Sketch.addConstraint(Sketcher.Constraint('Perpendicular',icurve1,pointpos1,icurve2))


# tangent-via-point (plain constraint, helpers are not added automatically)
# perpendicular-via-point (plain constraint, helpers are not added automatically)
Sketch.addConstraint(Sketcher.Constraint('TangentViaPoint',icurve1,icurve2,geoidpoint,pointpos))
Sketch.addConstraint(Sketcher.Constraint('PerpendicularViaPoint',icurve1,icurve2,geoidpoint,pointpos))
}}
}}
<translate>
<translate>
<!--T:23-->
where:
where:
:* <tt>Sketch</tt> is a sketch object
:* <tt>Sketch</tt> is a sketch object
:* <tt>icurve1, icurve2</tt> are two integers identifying the curves to be made tangent. The integers are indexes in the sketch (the value, returned by Sketch.addGeometry).
:* <tt>icurve1, icurve2</tt> are two integers identifying the curves to be made perpendicular. The integers are indexes in the sketch (the value, returned by Sketch.addGeometry).
:* <tt>pointpos1, pointpos2</tt> should be 1 for start point and 2 for end point.
:* <tt>pointpos1, pointpos2</tt> should be 1 for start point and 2 for end point.
:* <tt>geoidpoint</tt> and <tt>pointpos</tt> in TangentViaPoint are the indexes specifying the point of tangency.
:* <tt>geoidpoint</tt> and <tt>pointpos</tt> in PerpendicularViaPoint are the indexes specifying the point of Perpendicularity.


</translate>
</translate>

Revision as of 23:29, 16 January 2015

Constraint Perpendicular

Menu location
Sketch → Sketcher constraints → Constrain perpendicular
Workbenches
Sketcher, PartDesign
Default shortcut
N
Introduced in version
-
See also
Constraint Angle

Description

Perpendicular Constraint makes two lines to be perpendicular to each other, or two curves to be perpendicular at their intersection. Lines are treated infinite, and arcs are treated as full circles/ellipses. The constraint is also capable of connecting two curves, forcing them perpendicular at the joint, similarly to Tangent Constraint.

How to use

There are four different ways the constraint can be applied:

  1. between two curves (available not for all curves)
  2. between two endpoints of a curve
  3. between a curve and an endpoint of another curve
  4. between two curves at user-defined point

To apply perpendicular constraint, one should the follow the steps:

  • Select two or three entities in the sketch.
  • Invoke the constraint by clicking its icon on the toolbar, or selecting the menu item, or using keyboard shortcut.

Between two curves (direct perpendicularity)

Two curves will be made perpendicular at point of their intersection (either real, or of curves' extensions), and the point of intersection will be implicit. This mode is applied if two curves were selected.

Accepted selection:

  • line + line, circle, arc
  • circle, arc + circle, arc

If direct perpendicularity between selected curves is not supported (e.g. between a line and an ellipse), a helper point will be added to sketch automatically, and perpendicular-via-point will be applied.

Unlike for tangency, it is perfectly fine to reconstruct the point of perpendicularity by creating a point and constraining it to lie on both curves (thus constraining the point to the intersection).

Between two endpoints (point-to-point perpendicularity)

In this mode, the endpoints are made coincident, and the joint is made to be right angle. This mode is applied when two endpoints of two curves were selected.

Accepted selection:

  • endpoint of line/arc/arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., two endpoints of any two curves)

Between curve and endpoint (point-to-curve perpendicularity)

In this mode, an endpoint of one curve is constrained to lie on the other curve, and the curves are forced perpendicular at the point. This mode is applied when a curve and an endpoint of another curve were selected.

Accepted selection:

  • line, circle, arc, ellipse, arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., any curve + endpoint of any curve)


Between two curves at point (perpendicular-via-point) (v0.15)

In this mode, two curves are made perpendicular, and the point of perpendicularity is tracked. This mode is applied when two curves and a point were selected.

Accepted selection:

  • any line/curve + any line/curve + any point

"Any point" can be a lone point, or a point of something, e.g. a center of a circle, an endpoint of an arc, or the origin.

For the constraint to work correctly, the point must be on both curves. So, as the constraint is invoked, the point will be automatically constrained onto both curves (helper constraints will be added, if necessary), and the curves will be forced perpendicular at the point. These helper constraints are plain regular constraints. They can be added manually, or deleted.

Compared to direct perpendicular, this constraint is slower, because there are mode degrees of freedom involved, but it supports ellipses.

The placement of the point before the constraint is applied is a hint for the solver for where the perpendicularity should be.

Scripting

Perpendicular Constraint can be created from macros and from the python console by using the following:

# direct perpendicularity
Sketch.addConstraint(Sketcher.Constraint('Perpendicular',icurve1,icurve2))

# point-to-point perpendicularity
Sketch.addConstraint(Sketcher.Constraint('Perpendicular',icurve1,pointpos1,icurve2,pointpos2))

# point-to-curve perpendicularity
Sketch.addConstraint(Sketcher.Constraint('Perpendicular',icurve1,pointpos1,icurve2))

# perpendicular-via-point (plain constraint, helpers are not added automatically)
Sketch.addConstraint(Sketcher.Constraint('PerpendicularViaPoint',icurve1,icurve2,geoidpoint,pointpos))

where:

  • Sketch is a sketch object
  • icurve1, icurve2 are two integers identifying the curves to be made perpendicular. The integers are indexes in the sketch (the value, returned by Sketch.addGeometry).
  • pointpos1, pointpos2 should be 1 for start point and 2 for end point.
  • geoidpoint and pointpos in PerpendicularViaPoint are the indexes specifying the point of Perpendicularity.