FIRST HP: Geometry commands Tests

Hello

In the application, we function TEST of GEOMETRY. It is a unique but very necessary function. Let me give you an example. I draw the GD rectangle, rectangle (GA, GB, GC). Then, in the geometry view digital and I write is_parallelogram (GD). Then back to the Plot of the geometry window and enter for a vertex to change its dimensions (length and width). Nevertheless, always on the screen I have a rectangle. But on the screen TEST shows strange things. Once the is_parallelogram (GD): 1 then is_parallelogram (GD): 3. even for other geometric figures:
Rhombus, square, triangle, isosceles triangle.
Ill work TEST function in the construction of their own this building, where there are forms of a rectangle, square, diamond or different triangles. When we change the dynamic side of these figures we get messages wrong: is_parallelogram, is_ isosceles, equilateral is_.
I use a lot of GEOMETRY and these false messages on the screen annoyed me. It works great the TEST function for the parallelogram of figures. It shows always, at any time, without any error is_parallelogram (GD): 1. it is similar to is_collinear (). OK, but not perfectly with the command is_parallel and is_perpendicular. It must also be corrected to make it without reservation. I have another question. Is the is_element () command is the mathematical functions only or for different geometric figures and geometric constructions.

Best regards!

Johnder

Hello

I'm not sure I understand your question exacly (English is not my native language), but I'll try to bring some light it...

The is_parallelogram function can return the numbers 0, 1, 2, 3 or 4 to indicate: no parallelogram, parallelogram, Rhombus, rectangle and square.

Go back 0 or 1 that you complain?

In the application of geometry tests are performed on the values of the coordinates of the object floating points. Unfortunately, this leads to loss of precision which in turn throw off-label test (the value of floating points being the accupressure, the figure is only approximately parallel or rectangle). Perhaps what you are experiencing.

If this is the case, an easy solution is to change the setting of case epsilon.

To compare 2 numbers, system of computer algebra (which is the calculation behind the application of geometry engine), subtract them and test if the result is smaller (in absolute value) to epsilon. Change the default 1e-12 1e-10 Epsilon (in CASE settings, page 2: update, Page Down).

This fix works because, to test if 2 lines are parallel, the CASE will calcualte their relative angle and then compare that angle with 0 (or 90 to perpendicular). Which will make the more lenient number comparison will make the geometry to test also more linient.

I hope this helps.

Kind regards

Cyrille

Tags: HP Tablets

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