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0021173: EDF 1787 GEOM: PipeTShape in meter cannot be built: Doc update
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@ -6,6 +6,7 @@ Here you can find the answers to some frequently asked questions:
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<ul>
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<li>\subpage partition_explanation "What is the difference between partition, compounds and fuse operation ?" </li>
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<li>\subpage size_models_range "What are the valid sizes of models ?" </li>
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</ul>
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doc/salome/gui/GEOM/input/size_models_range.doc
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doc/salome/gui/GEOM/input/size_models_range.doc
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/*!
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\page size_models_range Sizes of Models in Salome
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\tableofcontents
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This document determines the range of numbers (tolerances, locations
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and sizes) that are to be taken into account for any 3D model design
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in Salome. Although it is not obligatory to create models within this range,
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algorithms can fail or return unexpected result in this case.
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This document refers mainly to Open CASCADE Technology (OCCT). However it
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concerns Salome as well as OCCT is a modeling core of Salome %GEOM module.
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Any model in 3D-space has its location and sizes. The last two things in Salome
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and OCCT are represented by the double precision floating point numbers.
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The goal of the document is to define the range of numbers that can be used in
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modeling algorithms provided by Salome and Open CASCADE Technology.
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\section sec1 Maximal Size of the Model
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The Maximal Size of the model is a number defined as the maximal diameter of
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enclosed sphere built for the model. In OCCT any model has a location defined
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relative the absolute origin. Thus the maximal diameter above should be built
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taking into account the model itself and its location.
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In Open CASCADE there are two tolerances: Tolerance Confusion (TolC)
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and Tolerance Angular (TolA) (see OCCT Precision package for more details).
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These values are used for geometric comparisons. They are not used inside
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low-level algorithms (intersection for e.g.), where more precise values are
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used instead. The value TolC guarantees that the error associated with
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the computations for given geometric entity is not greater than TolC.
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- TolC - precision value when checking coincidence of two points
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[by default 1.e-7];
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- TolA - precision value when checking the equality of two angles
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[by default 1.e-12].
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For more information on tolerance definition please see
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<a href="SALOME_BOA_PA.pdf">Chapter 4 of this document</a>. To see limitations
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that are due to modeling errors or inaccuracies of tolerance usage please
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refer to <a href="SALOME_BOA_PA.pdf">Chapter 9.2.2 of the same document</a>.
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To provide robust geometric modeling the computations should be consistent,
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i.e. the one tolerance value should be used for all computations. To provide
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consistent computations the values TolC and TolA should be consistent:
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<CENTER><B><PRE>Smax = TolC / TolA (1)</PRE></B></CENTER>
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\image html tolerances.png "TolC, TolA and Maximal Size Consistency"
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In accordance with <B>(1)</B> the Maximal Size for the Model is [by default]:
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<CENTER><B><PRE>Smax = 1.e-7 / 1.e-12 = 1.e+5 (2)</PRE></B></CENTER>
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\section sec2 Minimal Size of the Model
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The Minimal Size of the Model is defined as maximal diameter of enclosed
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sphere built for the smallest BRep entity of the Model.
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All models in Open CASCADE Technology are represented using double precision
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floating point numbers. This representation contains approximately 14-16
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significant digits.
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From the experience of using it is considered that the least four significant
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digits contain rounding-off errors occurring during the computation. So
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(taking in account the worst cases), there are ten reliable significant digits
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for double precision floating point numbers. Having the estimation it is
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possible to compute the value of the Minimal size of the model:
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<CENTER><B><PRE>Smin=Smax / 1.e+10 (3)</PRE></B></CENTER>
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In accordance with <B>(2)</B> for the default value it will be [by default]:
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<CENTER><B><PRE>Smin=1.e-5. (4)</PRE></B></CENTER>
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\section sec3 Full Range of Sizes
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The values <B>Smax (2)</B>, <B>Smin (4)</B> are theoretical. Taking into
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account the practical purposes of improving the reliability the lower limit
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should be restricted by one order. Thus, the full Range of Sizes of the Models
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is:
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<CENTER><B><PRE>[Smin, Smax] = [1.e-4, 1.e+5] (5)</PRE></B></CENTER>
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*/
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