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Integration of OCCT 6.5.0 from SVN
This commit is contained in:
bugmaster
bugmaster
100
src/AppCont/AppCont.cdl
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100
src/AppCont/AppCont.cdl
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@@ -0,0 +1,100 @@
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-- File: AppCont.cdl
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-- Created: Thu Apr 22 11:56:20 1993
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-- Author: Laurent PAINNOT
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-- <lpa@phobox>
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---Copyright: Matra Datavision 1993
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package AppCont
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---Purpose: This package provides the least square algorithms
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-- necessary to approximate a set of continous curves
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-- or a continous surface.
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--
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--
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-- It also provides an instantiation of these algorithms
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-- for a class Function, a function f(t).
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-- The user will have to inherit class Function to use it.
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---Level : Advanced.
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-- All methods of all classes will be advanced.
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uses AppParCurves, Geom, math, StdFail, TCollection, TColStd, gp,
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TColgp, Standard
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is
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deferred generic class TheLineTool; --- Template
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---Purpose: Tool describing a continous MultiLine.
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-- The MultiLine is described by a parameter.
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deferred generic class TheSurfTool; --- Template
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---Purpose: Tool describing a continous Surface.
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-- The Surface is described by a couple of parameters.
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-------------------------------
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--- Algorithms:
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-------------------------------
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---Purpose: The two following algorithms are using the same recipe:
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-- Minimizing the difference between the approximate result
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-- Curve or Surface and respectively a continous MultiLine
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-- or a continous surface.
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generic class LeastSquare;
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---Purpose: makes an approximation of a continous Line described by
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-- the tool TheLineTool.
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generic class SurfLeastSquare;
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---Purpose: makes an approximation of a continous Surface
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-- described by the tool TheSurfaceTool.
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------------------------------------------------------
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--- Necessary class for approximation a function f(t):
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------------------------------------------------------
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deferred class Function;
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---Purpose: This class must be provided by the user to use the
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-- approximation algorithm FittingCurve.
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class FunctionTool;
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---Purpose: This class is the inteface between the Function
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-- class and the tool asked by LeastSquare.
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---------------------------------------------------------
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--- Necessary class for approximation a 2d function f(t):
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---------------------------------------------------------
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deferred class Function2d;
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---Purpose: This class must be provided by the user to use the
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-- approximation algorithm FittingCurve2d.
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class FunctionTool2d;
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---Purpose: This class is the inteface between the Function2d
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-- class and the tool asked by LeastSquare.
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class FitFunction instantiates LeastSquare from AppCont
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(Function from AppCont, FunctionTool from AppCont);
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class FitFunction2d instantiates LeastSquare from AppCont
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(Function2d from AppCont, FunctionTool2d from AppCont);
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end AppCont;
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2075
src/AppCont/AppCont_ContMatrices.cxx
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2075
src/AppCont/AppCont_ContMatrices.cxx
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File diff suppressed because it is too large
Load Diff
44
src/AppCont/AppCont_ContMatrices.hxx
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44
src/AppCont/AppCont_ContMatrices.hxx
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#ifndef math_ContMatrices_HeaderFile
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#define math_ContMatrices_HeaderFile
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#include <math_Vector.hxx>
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#include <Standard_Real.hxx>
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//#ifndef __AppCont_API
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//#if defined(WNT) && !defined(HAVE_NO_DLL)
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//# ifdef __AppCont_DLL
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//# define __AppCont_API __declspec( dllexport )
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//# else
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//# define __AppCont_API __declspec( dllimport )
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//# endif /* __AppCont_DLL */
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//# else
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//# define __AppCont_API
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//# endif /* WNT */
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//#endif /* __AppCont_API */
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// Stockage des matrices de resolution d approxiamtion continue.
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// La classe est limitee a 26 pour MMatrix et InvMMatrix, (pas de contraintes)
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// pour IBPMatrix (contraintes de passage aux extremites)
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// et IBTMatrix (contraintes de tangence aux extremites).
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//__AppCont_API void InvMMatrix(const Standard_Integer classe, math_Matrix& M);
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Standard_EXPORT void InvMMatrix(const Standard_Integer classe, math_Matrix& M);
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//__AppCont_API void MMatrix(const Standard_Integer classe, math_Matrix& M);
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Standard_EXPORT void MMatrix(const Standard_Integer classe, math_Matrix& M);
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//__AppCont_API void IBPMatrix(const Standard_Integer classe, math_Matrix& M);
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Standard_EXPORT void IBPMatrix(const Standard_Integer classe, math_Matrix& M);
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//__AppCont_API void IBTMatrix(const Standard_Integer classe, math_Matrix& M);
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Standard_EXPORT void IBTMatrix(const Standard_Integer classe, math_Matrix& M);
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//__AppCont_API void VBernstein(const Standard_Integer classe,
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Standard_EXPORT void VBernstein(const Standard_Integer classe,
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const Standard_Integer nbpoints,
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math_Matrix& M);
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#endif
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421
src/AppCont/AppCont_ContMatrices_1.cxx
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src/AppCont/AppCont_ContMatrices_1.cxx
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// File: AppCont_ContMatrices_1.cxx
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// Created: Tue Mar 14 11:21:05 1995
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// Author: Modelistation
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// <model@phobox>
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#ifndef DEB
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#define No_Standard_OutOfRange
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#define No_Standard_RangeError
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#endif
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#include <AppCont_ContMatrices.hxx>
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#include <math_Matrix.hxx>
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#include <Standard_DimensionError.hxx>
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static const Standard_Real IBP[] = {
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|
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26.47058823529411764705882,
|
||||
|
||||
|
||||
233.1623931623931623931624, -202.3931623931623931623932,
|
||||
-202.3931623931623931623932, 233.1623931623931623931624,
|
||||
|
||||
|
||||
1312.284733611978202211523, -2232.104121475054229934924, 1043.382294587587958309084,
|
||||
-2232.104121475054229934924, 4341.973969631236442516269, -2232.104121475054229934924,
|
||||
1043.382294587587958309084,-2232.104121475054229934924, 1312.284733611978202211523,
|
||||
|
||||
|
||||
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|
||||
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|
||||
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||||
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|
||||
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||||
|
||||
|
||||
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||||
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||||
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||||
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-6.81419514385368135790775e18,1.560201969000433448584626e20, -1.708664143311506554597839e21,1.190917822109851099976131e22, -5.92955144785153685990689e22,2.243973308118288348206093e23, -6.70490563310856877813085e23,1.621952349286441389276623e24, -3.231490052263942203991208e24,5.365694493928191487187726e24, -7.484580450440977924589811e24,8.813943335954883737636007e24, -8.78335817657381420832598e24,7.406927429664902788021398e24, -5.273217602456300380289476e24,3.153768041119756739531419e24, -1.571952609688507002078509e24,6.45304837735116848535983e23, -2.144650245707317697156047e23,5.627583977517781232241665e22, -1.122373107661339691347864e22,1.599044547290710875907707e21, -1.449857283508050449337974e20,6.287685476389237681675142e18,
|
||||
3.38798511905650898370408e19,-7.76095835366084033606292e20, 8.503457827759858652905055e21,-5.92955144785153685990689e22, 2.953657125051914349108046e23,-1.118281754685983168411113e24, 3.342864551668905716352428e24,-8.090104127498098748107855e24, 1.612524086847546578459213e25,-2.678639387600587601891894e25, 3.737991756002768395926701e25,-4.403737645792118242190033e25, 4.390256575832728979424041e25,-3.703765000346055477457229e25, 2.637879956009548841624054e25,-1.578269387030734162859264e25, 7.869751212375750520390729e24,-3.23187705105794067485544e24, 1.074516263658254045626275e24,-2.820612471121031085957077e23, 5.627583977517781232241665e22,-8.020603040522619885970636e21, 7.27498214581318052043373e20,-3.156139925458774766780377e19,
|
||||
-1.280370083823155906224479e20,2.934355586641843339764137e21, -3.216573790271406943465086e22,2.243973308118288348206093e23, -1.118281754685983168411113e24,4.23579801151889606201518e24, -1.266756809574627692961815e25,3.067021041939116038946148e25, -6.115821872715153646276255e25,1.016358019243288889838096e26, -1.418902687147567693560781e26,1.672305204149673882576174e26, -1.667868990072450195106908e26,1.407639833972293095366286e26, -1.002945822762581994718588e26,6.003108465444083748356615e25, -2.994518650607890901151444e25,1.230241063972646016784595e25, -4.091817113781438290070793e24,1.074516263658254045626275e24, -2.144650245707317697156047e23,3.057771700427825973278987e22, -2.774547602643870449785341e21,1.204141246602995877504405e20,
|
||||
3.820493289663147417910301e20,-8.759836555964760652480868e21, 9.60668987509202406448655e22,-6.70490563310856877813085e23, 3.342864551668905716352428e24,-1.266756809574627692961815e25, 3.790004286554061275952134e25,-9.180148643012207501349e25, 1.831354477181600240594703e26,-3.044718350006539760894844e26, 4.252399820733147478786238e26,-5.013908554841757223798244e26, 5.002655092765615441071848e26,-4.223829348471367973299471e26, 3.010696370600323016333693e26,-1.802764010691914551601132e26, 8.99624967864855392619269e25,-3.697388785216688993932993e25, 1.230241063972646016784595e25,-3.23187705105794067485544e24, 6.45304837735116848535983e23,-9.20404910976300857123337e22, 8.354689995479286513193606e21,-3.627260850328911881348485e20,
|
||||
-9.22962520116914289845234e20,2.117171995053317763693614e22, -2.322883791679548078529879e23,1.621952349286441389276623e24, -8.090104127498098748107855e24,3.067021041939116038946148e25, -9.180148643012207501349e25,2.224562518886603856958915e26, -4.439669581277226132362646e26,7.38426353483741761410709e26, -1.031750124455270915868007e27,1.217014690396713911073324e27, -1.214779883034172534763942e27,1.026076409890571406428304e27, -7.31670163065659955920852e26,4.382895267636137710255907e26, -2.188045579217644302084069e26,8.99624967864855392619269e25, -2.994518650607890901151444e25,7.869751212375750520390729e24, -1.571952609688507002078509e24,2.242956426525732759867901e23, -2.036754550627935588530505e22,8.84611729156939532821269e20,
|
||||
1.836444470382667166402974e21,-4.21445816623363758009456e22, 4.625976297859995763168941e23,-3.231490052263942203991208e24, 1.612524086847546578459213e25,-6.115821872715153646276255e25, 1.831354477181600240594703e26,-4.439669581277226132362646e26, 8.86418404158098220313148e26,-1.474946193247923952396725e27, 2.061689359337849482776148e27,-2.432893547478076719065737e27, 2.429418756791649309897898e27,-2.052867646024308819691187e27, 1.464441554120665185186201e27,-8.77591227069269796734159e26, 4.382895267636137710255907e26,-1.802764010691914551601132e26, 6.003108465444083748356615e25,-1.578269387030734162859264e25, 3.153768041119756739531419e24,-4.501741436651110597749699e23, 4.089470636602721812338464e22,-1.776843150838326807421809e21,
|
||||
-3.045364570903806982507173e21,6.991842493847314927716319e22, -7.67786525536695931139179e23,5.365694493928191487187726e24, -2.678639387600587601891894e25,1.016358019243288889838096e26, -3.044718350006539760894844e26,7.38426353483741761410709e26, -1.474946193247923952396725e27,2.455237718665668935337948e27, -3.433362621102278825595717e27,4.053197624509502790448301e27, -4.049062373375733505104178e27,3.422864203145552492943824e27, -2.442736642250717294797886e27,1.464441554120665185186201e27, -7.31670163065659955920852e26,3.010696370600323016333693e26, -1.002945822762581994718588e26,2.637879956009548841624054e25, -5.273217602456300380289476e24,7.53005263751517845032422e23, -6.843142440379280302922981e22,2.97445999325103424634958e21,
|
||||
4.242561503316544911002879e21,-9.74463501698859522297128e22, 1.070529489620552484338625e24,-7.484580450440977924589811e24, 3.737991756002768395926701e25,-1.418902687147567693560781e26, 4.252399820733147478786238e26,-1.031750124455270915868007e27, 2.061689359337849482776148e27,-3.433362621102278825595717e27, 4.803129242794365019128663e27,-5.67257535215528835050175e27, 5.66910252650479416206082e27,-4.794312596812245784539224e27, 3.422864203145552492943824e27,-2.052867646024308819691187e27, 1.026076409890571406428304e27,-4.223829348471367973299471e26, 1.407639833972293095366286e26,-3.703765000346055477457229e25, 7.406927429664902788021398e24,-1.058118038465531398243648e24, 9.61977985784305539446218e22,-4.183029248293791228945254e21,
|
||||
-4.989842793287990681890954e21,1.146584885636028981012175e23, -1.26014528298281446235175e24,8.813943335954883737636007e24, -4.403737645792118242190033e25,1.672305204149673882576174e26, -5.013908554841757223798244e26,1.217014690396713911073324e27, -2.432893547478076719065737e27,4.053197624509502790448301e27, -5.67257535215528835050175e27,6.70214570794069817962606e27, -6.70077777964952297020887e27,5.66910252650479416206082e27, -4.049062373375733505104178e27,2.429418756791649309897898e27, -1.214779883034172534763942e27,5.002655092765615441071848e26, -1.667868990072450195106908e26,4.390256575832728979424041e25, -8.78335817657381420832598e24,1.255256869585435462389008e24, -1.141667389528552381680354e23,4.966396120278352562553888e21,
|
||||
4.966396120278352562553888e21,-1.141667389528552381680354e23, 1.255256869585435462389008e24,-8.78335817657381420832598e24, 4.390256575832728979424041e25,-1.667868990072450195106908e26, 5.002655092765615441071848e26,-1.214779883034172534763942e27, 2.429418756791649309897898e27,-4.049062373375733505104178e27, 5.66910252650479416206082e27,-6.70077777964952297020887e27, 6.70214570794069817962606e27,-5.67257535215528835050175e27, 4.053197624509502790448301e27,-2.432893547478076719065737e27, 1.217014690396713911073324e27,-5.013908554841757223798244e26, 1.672305204149673882576174e26,-4.403737645792118242190033e25, 8.813943335954883737636007e24,-1.26014528298281446235175e24, 1.146584885636028981012175e23,-4.989842793287990681890954e21,
|
||||
-4.183029248293791228945254e21,9.61977985784305539446218e22, -1.058118038465531398243648e24,7.406927429664902788021398e24, -3.703765000346055477457229e25,1.407639833972293095366286e26, -4.223829348471367973299471e26,1.026076409890571406428304e27, -2.052867646024308819691187e27,3.422864203145552492943824e27, -4.794312596812245784539224e27,5.66910252650479416206082e27, -5.67257535215528835050175e27,4.803129242794365019128663e27, -3.433362621102278825595717e27,2.061689359337849482776148e27, -1.031750124455270915868007e27,4.252399820733147478786238e26, -1.418902687147567693560781e26,3.737991756002768395926701e25, -7.484580450440977924589811e24,1.070529489620552484338625e24, -9.74463501698859522297128e22,4.242561503316544911002879e21,
|
||||
2.97445999325103424634958e21,-6.843142440379280302922981e22, 7.53005263751517845032422e23,-5.273217602456300380289476e24, 2.637879956009548841624054e25,-1.002945822762581994718588e26, 3.010696370600323016333693e26,-7.31670163065659955920852e26, 1.464441554120665185186201e27,-2.442736642250717294797886e27, 3.422864203145552492943824e27,-4.049062373375733505104178e27, 4.053197624509502790448301e27,-3.433362621102278825595717e27, 2.455237718665668935337948e27,-1.474946193247923952396725e27, 7.38426353483741761410709e26,-3.044718350006539760894844e26, 1.016358019243288889838096e26,-2.678639387600587601891894e25, 5.365694493928191487187726e24,-7.67786525536695931139179e23, 6.991842493847314927716319e22,-3.045364570903806982507173e21,
|
||||
-1.776843150838326807421809e21,4.089470636602721812338464e22, -4.501741436651110597749699e23,3.153768041119756739531419e24, -1.578269387030734162859264e25,6.003108465444083748356615e25, -1.802764010691914551601132e26,4.382895267636137710255907e26, -8.77591227069269796734159e26,1.464441554120665185186201e27, -2.052867646024308819691187e27,2.429418756791649309897898e27, -2.432893547478076719065737e27,2.061689359337849482776148e27, -1.474946193247923952396725e27,8.86418404158098220313148e26, -4.439669581277226132362646e26,1.831354477181600240594703e26, -6.115821872715153646276255e25,1.612524086847546578459213e25, -3.231490052263942203991208e24,4.625976297859995763168941e23, -4.21445816623363758009456e22,1.836444470382667166402974e21,
|
||||
8.84611729156939532821269e20,-2.036754550627935588530505e22, 2.242956426525732759867901e23,-1.571952609688507002078509e24, 7.869751212375750520390729e24,-2.994518650607890901151444e25, 8.99624967864855392619269e25,-2.188045579217644302084069e26, 4.382895267636137710255907e26,-7.31670163065659955920852e26, 1.026076409890571406428304e27,-1.214779883034172534763942e27, 1.217014690396713911073324e27,-1.031750124455270915868007e27, 7.38426353483741761410709e26,-4.439669581277226132362646e26, 2.224562518886603856958915e26,-9.180148643012207501349e25, 3.067021041939116038946148e25,-8.090104127498098748107855e24, 1.621952349286441389276623e24,-2.322883791679548078529879e23, 2.117171995053317763693614e22,-9.22962520116914289845234e20,
|
||||
-3.627260850328911881348485e20,8.354689995479286513193606e21, -9.20404910976300857123337e22,6.45304837735116848535983e23, -3.23187705105794067485544e24,1.230241063972646016784595e25, -3.697388785216688993932993e25,8.99624967864855392619269e25, -1.802764010691914551601132e26,3.010696370600323016333693e26, -4.223829348471367973299471e26,5.002655092765615441071848e26, -5.013908554841757223798244e26,4.252399820733147478786238e26, -3.044718350006539760894844e26,1.831354477181600240594703e26, -9.180148643012207501349e25,3.790004286554061275952134e25, -1.266756809574627692961815e25,3.342864551668905716352428e24, -6.70490563310856877813085e23,9.60668987509202406448655e22, -8.759836555964760652480868e21,3.820493289663147417910301e20,
|
||||
1.204141246602995877504405e20,-2.774547602643870449785341e21, 3.057771700427825973278987e22,-2.144650245707317697156047e23, 1.074516263658254045626275e24,-4.091817113781438290070793e24, 1.230241063972646016784595e25,-2.994518650607890901151444e25, 6.003108465444083748356615e25,-1.002945822762581994718588e26, 1.407639833972293095366286e26,-1.667868990072450195106908e26, 1.672305204149673882576174e26,-1.418902687147567693560781e26, 1.016358019243288889838096e26,-6.115821872715153646276255e25, 3.067021041939116038946148e25,-1.266756809574627692961815e25, 4.23579801151889606201518e24,-1.118281754685983168411113e24, 2.243973308118288348206093e23,-3.216573790271406943465086e22, 2.934355586641843339764137e21,-1.280370083823155906224479e20,
|
||||
-3.156139925458774766780377e19,7.27498214581318052043373e20, -8.020603040522619885970636e21,5.627583977517781232241665e22, -2.820612471121031085957077e23,1.074516263658254045626275e24, -3.23187705105794067485544e24,7.869751212375750520390729e24, -1.578269387030734162859264e25,2.637879956009548841624054e25, -3.703765000346055477457229e25,4.390256575832728979424041e25, -4.403737645792118242190033e25,3.737991756002768395926701e25, -2.678639387600587601891894e25,1.612524086847546578459213e25, -8.090104127498098748107855e24,3.342864551668905716352428e24, -1.118281754685983168411113e24,2.953657125051914349108046e23, -5.92955144785153685990689e22,8.503457827759858652905055e21, -7.76095835366084033606292e20,3.38798511905650898370408e19,
|
||||
6.287685476389237681675142e18,-1.449857283508050449337974e20, 1.599044547290710875907707e21,-1.122373107661339691347864e22, 5.627583977517781232241665e22,-2.144650245707317697156047e23, 6.45304837735116848535983e23,-1.571952609688507002078509e24, 3.153768041119756739531419e24,-5.273217602456300380289476e24, 7.406927429664902788021398e24,-8.78335817657381420832598e24, 8.813943335954883737636007e24,-7.484580450440977924589811e24, 5.365694493928191487187726e24,-3.231490052263942203991208e24, 1.621952349286441389276623e24,-6.70490563310856877813085e23, 2.243973308118288348206093e23,-5.92955144785153685990689e22, 1.190917822109851099976131e22,-1.708664143311506554597839e21, 1.560201969000433448584626e20,-6.81419514385368135790775e18,
|
||||
-8.94827185650722412535045e17,2.064097889023087048903326e19, -2.277319126545755300323223e20,1.599044547290710875907707e21, -8.020603040522619885970636e21,3.057771700427825973278987e22, -9.20404910976300857123337e22,2.242956426525732759867901e23, -4.501741436651110597749699e23,7.53005263751517845032422e23, -1.058118038465531398243648e24,1.255256869585435462389008e24, -1.26014528298281446235175e24,1.070529489620552484338625e24, -7.67786525536695931139179e23,4.625976297859995763168941e23, -2.322883791679548078529879e23,9.60668987509202406448655e22, -3.216573790271406943465086e22,8.503457827759858652905055e21, -1.708664143311506554597839e21,2.452653882532046353755094e20, -2.240622300216811820212458e19,9.7907165718702577801836e17,
|
||||
8.10465351088981278134965e16,-1.870166353391617151322589e18, 2.064097889023087048903326e19,-1.449857283508050449337974e20, 7.27498214581318052043373e20,-2.774547602643870449785341e21, 8.354689995479286513193606e21,-2.036754550627935588530505e22, 4.089470636602721812338464e22,-6.843142440379280302922981e22, 9.61977985784305539446218e22,-1.141667389528552381680354e23, 1.146584885636028981012175e23,-9.74463501698859522297128e22, 6.991842493847314927716319e22,-4.21445816623363758009456e22, 2.117171995053317763693614e22,-8.759836555964760652480868e21, 2.934355586641843339764137e21,-7.76095835366084033606292e20, 1.560201969000433448584626e20,-2.240622300216811820212458e19, 2.04792228739257010513492e18,-8.95315514158120708669274e16,
|
||||
-3.511041232145420502073481e15,8.10465351088981278134965e16, -8.94827185650722412535045e17,6.287685476389237681675142e18, -3.156139925458774766780377e19,1.204141246602995877504405e20, -3.627260850328911881348485e20,8.84611729156939532821269e20, -1.776843150838326807421809e21,2.97445999325103424634958e21, -4.183029248293791228945254e21,4.966396120278352562553888e21, -4.989842793287990681890954e21,4.242561503316544911002879e21, -3.045364570903806982507173e21,1.836444470382667166402974e21, -9.22962520116914289845234e20,3.820493289663147417910301e20, -1.280370083823155906224479e20,3.38798511905650898370408e19, -6.81419514385368135790775e18,9.7907165718702577801836e17, -8.95315514158120708669274e16,3.91616137389441893377958e15
|
||||
|
||||
|
||||
|
||||
};
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
void IBPMatrix(const Standard_Integer classe, math_Matrix& IBPMa)
|
||||
{
|
||||
if (classe > 26) Standard_DimensionError::Raise("IBPMatrix: classe > 26");
|
||||
// math_Matrix IBPMa(1, classe-2, 1, classe-2);
|
||||
Standard_Integer i, j, k = 0, Som = 0;
|
||||
for (i = 1; i < classe-2; i++) {
|
||||
Som += (i)*(i);
|
||||
}
|
||||
for (i = 1; i <= classe-2; i++) {
|
||||
for (j = 1; j <= classe-2; j++) {
|
||||
IBPMa(i+IBPMa.LowerRow()-1, j+IBPMa.LowerCol()-1) = IBP[Som+k];
|
||||
k++;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
3284
src/AppCont/AppCont_ContMatrices_2.cxx
Executable file
3284
src/AppCont/AppCont_ContMatrices_2.cxx
Executable file
File diff suppressed because it is too large
Load Diff
358
src/AppCont/AppCont_ContMatrices_3.cxx
Executable file
358
src/AppCont/AppCont_ContMatrices_3.cxx
Executable file
@@ -0,0 +1,358 @@
|
||||
// File: AppCont_ContMatrices_1.cxx
|
||||
// Created: Tue Mar 14 11:21:05 1995
|
||||
// Author: Modelistation
|
||||
// <model@phobox>
|
||||
|
||||
|
||||
#ifndef DEB
|
||||
#define No_Standard_OutOfRange
|
||||
#define No_Standard_RangeError
|
||||
#endif
|
||||
|
||||
#include <AppCont_ContMatrices.hxx>
|
||||
#include <math_Matrix.hxx>
|
||||
#include <Standard_DimensionError.hxx>
|
||||
|
||||
|
||||
|
||||
static const Standard_Real IBT[] = {
|
||||
|
||||
111.9289340101522842639594,
|
||||
|
||||
|
||||
1099.710340230071948294785, -1005.490755660339010609325,
|
||||
-1005.490755660339010609325, 1099.710340230071948294785,
|
||||
|
||||
|
||||
6692.873871186530714319684,-11786.09942884612159797877,5702.414474434790575108547,
|
||||
-11786.09942884612159797877,22691.46392161027607447695,-11786.09942884612159797877,
|
||||
5702.414474434790575108547,-11786.09942884612159797877,6692.873871186530714319684,
|
||||
|
||||
|
||||
31987.54980128304051274215,-83464.5616169961717385731,77790.6028852875440499481,-25769.07213149304406258001,
|
||||
-83464.5616169961717385731,230899.602268954069052367,-225520.0339078915762638378,77790.6028852875440499481,
|
||||
77790.6028852875440499481,-225520.0339078915762638378,230899.602268954069052367,-83464.5616169961717385731,
|
||||
-25769.07213149304406258001,77790.6028852875440499481,-83464.5616169961717385731,31987.54980128304051274215,
|
||||
|
||||
|
||||
131995.5629523928839828686,-459851.698594009545424292,633555.123965057551337059,-405583.1400870990500697629, 101913.3552354524636208742,
|
||||
-459851.698594009545424292,1.672217061684788202506525e6,-2.384301622695571634394642e6,1.571801135882737644139348e6,-405583.1400870990500697629,
|
||||
633555.123965057551337059,-2.384301622695571634394642e6,3.509598532692396890486218e6,-2.384301622695571634394642e6,633555.123965057551337059,-405583.1400870990500697629,1.571801135882737644139348e6,-2.384301622695571634394642e6,1.672217061684788202506525e6,-459851.698594009545424292,
|
||||
101913.3552354524636208742,-405583.1400870990500697629,633555.123965057551337059,-459851.698594009545424292,131995.5629523928839828686,
|
||||
|
||||
|
||||
496531.5599678029485203111,-2.182180305150761633481652e6,3.9984371525904575278383e6,-3.785210523275115993394409e6,1.846785826980325123266814e6,-372482.6869675619601241538,
|
||||
-2.182180305150761633481652e6,9.91257118596741027369674e6,-1.864957411913652356367516e7,1.805614392866562953575188e7,-8.98743282740271944920046e6,1.846785826980325123266814e6,
|
||||
3.9984371525904575278383e6,-1.864957411913652356367516e7,3.592425570379921681628977e7,-3.554174878011928873305113e7,1.805614392866562953575188e7,-3.785210523275115993394409e6,-3.785210523275115993394409e6,1.805614392866562953575188e7,-3.554174878011928873305113e7,3.592425570379921681628977e7,-1.864957411913652356367516e7,3.9984371525904575278383e6,
|
||||
1.846785826980325123266814e6,-8.98743282740271944920046e6,1.805614392866562953575188e7,-1.864957411913652356367516e7,9.91257118596741027369674e6,-2.182180305150761633481652e6,
|
||||
-372482.6869675619601241538,1.846785826980325123266814e6,-3.785210523275115993394409e6,3.9984371525904575278383e6,-2.182180305150761633481652e6,496531.5599678029485203111,
|
||||
|
||||
|
||||
|
||||
1.765613767960232114043317e6,-9.43609514802255195252838e6,2.170025395308000877918129e7,-2.728293247479403539886654e7,1.971656782064973525915427e7,-7.762230597198211388963423e6,1.303921466402847520568769e6,
|
||||
-9.43609514802255195252838e6,5.175760190547294199995571e7,-1.215329739868931439354788e8,1.555215995841999711274792e8,-1.141568759863049517052413e8,4.558764397961854236340932e7,-7.762230597198211388963423e6,
|
||||
2.170025395308000877918129e7,-1.215329739868931439354788e8,2.906121551131451797421677e8,-3.780420831837823942330279e8,2.817490338186850366440788e8,-1.141568759863049517052413e8,1.971656782064973525915427e7,
|
||||
-2.728293247479403539886654e7,1.555215995841999711274792e8,-3.780420831837823942330279e8,4.995484706180231277615426e8,-3.780420831837823942330279e8,1.555215995841999711274792e8,-2.728293247479403539886654e7,
|
||||
1.971656782064973525915427e7,-1.141568759863049517052413e8,2.817490338186850366440788e8,-3.780420831837823942330279e8,2.906121551131451797421677e8,-1.215329739868931439354788e8,2.170025395308000877918129e7,
|
||||
-7.762230597198211388963423e6,4.558764397961854236340932e7,-1.141568759863049517052413e8,1.555215995841999711274792e8,-1.215329739868931439354788e8,5.175760190547294199995571e7,-9.43609514802255195252838e6,
|
||||
1.303921466402847520568769e6,-7.762230597198211388963423e6,1.971656782064973525915427e7,-2.728293247479403539886654e7,2.170025395308000877918129e7,-9.43609514802255195252838e6,1.765613767960232114043317e6,
|
||||
|
||||
|
||||
|
||||
6.086600749443626671440677e6,-3.851923326801870544420851e7,1.07088468685399210685112e8,-1.685466099225676196646364e8,1.617316410430280646514557e8,-9.45083119092898726294966e7,3.114757213663826302650802e7,-4.475277409366020338155034e6,
|
||||
-3.851923326801870544420851e7,2.488181203580417946972204e8,-7.03276600475182329158213e8,1.122540785042046926824537e9,-1.090555668612993722914073e9,6.4445242020086320311926e8,-2.146236695482846521039046e8,3.114757213663826302650802e7,
|
||||
1.07088468685399210685112e8,-7.03276600475182329158213e8,2.016433698327152282905382e9,-3.260037513717806333310178e9,3.20460623842470758656626e9,-1.914733651992273527501143e9,6.4445242020086320311926e8,-9.45083119092898726294966e7,
|
||||
-1.685466099225676196646364e8,1.122540785042046926824537e9,-3.260037513717806333310178e9,5.334249472299141679694564e9,-5.304000804522208753903431e9,3.20460623842470758656626e9,-1.090555668612993722914073e9,1.617316410430280646514557e8,
|
||||
1.617316410430280646514557e8,-1.090555668612993722914073e9,3.20460623842470758656626e9,-5.304000804522208753903431e9,5.334249472299141679694564e9,-3.260037513717806333310178e9,1.122540785042046926824537e9,-1.685466099225676196646364e8,
|
||||
-9.45083119092898726294966e7,6.4445242020086320311926e8,-1.914733651992273527501143e9,3.20460623842470758656626e9,-3.260037513717806333310178e9,2.016433698327152282905382e9,-7.03276600475182329158213e8,1.07088468685399210685112e8,
|
||||
3.114757213663826302650802e7,-2.146236695482846521039046e8,6.4445242020086320311926e8,-1.090555668612993722914073e9,1.122540785042046926824537e9,-7.03276600475182329158213e8,2.488181203580417946972204e8,-3.851923326801870544420851e7,
|
||||
-4.475277409366020338155034e6,3.114757213663826302650802e7,-9.45083119092898726294966e7,1.617316410430280646514557e8,-1.685466099225676196646364e8,1.07088468685399210685112e8,-3.851923326801870544420851e7,6.086600749443626671440677e6,
|
||||
|
||||
|
||||
|
||||
2.069380923006654335767633e7,-1.518829839177645482978659e8,4.969109304059239160194352e8,-9.42387524467172456598344e8,1.130537419607506914576847e9,-8.77478165649845475004405e8,4.301455550336657364208291e8,-1.218042868720634221915187e8,1.52759526080481672301483e7,
|
||||
-1.518829839177645482978659e8,1.132838065805069511506644e9,-3.755205578608265495620725e9,7.201997380711612081797168e9,-8.72578892433582170963578e9,6.833482487905327561999827e9,-3.377623193616202754895881e9,9.63927687385751185936869e8,-1.218042868720634221915187e8,
|
||||
4.969109304059239160194352e8,-3.755205578608265495620725e9,1.259008180711155543761107e10,-2.439230425779724330564811e10,2.982858433419127477029641e10,-2.356255710009871192207428e10,1.17421401999548619591149e10,-3.377623193616202754895881e9,4.301455550336657364208291e8,
|
||||
-9.42387524467172456598344e8,7.201997380711612081797168e9,-2.439230425779724330564811e10,4.770515889987639639348529e10,-5.885820235039670987188098e10,4.689197803464623488627714e10,-2.356255710009871192207428e10,6.833482487905327561999827e9,-8.77478165649845475004405e8,
|
||||
1.130537419607506914576847e9,-8.72578892433582170963578e9,2.982858433419127477029641e10,-5.885820235039670987188098e10,7.32501183153171387607638e10,-5.885820235039670987188098e10,2.982858433419127477029641e10,-8.72578892433582170963578e9,1.130537419607506914576847e9,
|
||||
-8.77478165649845475004405e8,6.833482487905327561999827e9,-2.356255710009871192207428e10,4.689197803464623488627714e10,-5.885820235039670987188098e10,4.770515889987639639348529e10,-2.439230425779724330564811e10,7.201997380711612081797168e9,-9.42387524467172456598344e8,
|
||||
4.301455550336657364208291e8,-3.377623193616202754895881e9,1.17421401999548619591149e10,-2.356255710009871192207428e10,2.982858433419127477029641e10,-2.439230425779724330564811e10,1.259008180711155543761107e10,-3.755205578608265495620725e9,4.969109304059239160194352e8,
|
||||
-1.218042868720634221915187e8,9.63927687385751185936869e8,-3.377623193616202754895881e9,6.833482487905327561999827e9,-8.72578892433582170963578e9,7.201997380711612081797168e9,-3.755205578608265495620725e9,1.132838065805069511506644e9,-1.518829839177645482978659e8,
|
||||
1.52759526080481672301483e7,-1.218042868720634221915187e8,4.301455550336657364208291e8,-8.77478165649845475004405e8,1.130537419607506914576847e9,-9.42387524467172456598344e8,4.969109304059239160194352e8,-1.518829839177645482978659e8,2.069380923006654335767633e7,
|
||||
|
||||
|
||||
|
||||
7.01508542351486300082272e7,-5.87036695473523511345671e8,2.214005335040034243937869e9,-4.924003475736919413754202e9,7.104506883567735481305347e9,-6.889588420929101049160169e9,4.488283162093987186080077e9,-1.893897995758985343704925e9,4.698563555523323286790182e8,-5.226565027134222930403822e7,
|
||||
-5.87036695473523511345671e8,4.974567361015092233062095e9,-1.895751038098620270442527e10,4.254158435739183726088307e10,-6.187049816498057381143049e10,6.043297112331638229319034e10,-3.96322397355035882948465e10,1.682792313561225888133561e10,-4.199666411955734682546936e9,4.698563555523323286790182e8,
|
||||
2.214005335040034243937869e9,-1.895751038098620270442527e10,7.29011624938461346328553e10,-1.649251421244182576822363e11,2.416446874292131551966615e11,-2.376629068033091658162733e11,1.568765190796046048252967e11,-6.702472550485535940410378e10,1.682792313561225888133561e10,-1.893897995758985343704925e9,
|
||||
-4.924003475736919413754202e9,4.254158435739183726088307e10,-1.649251421244182576822363e11,3.759206636191850083921499e11,-5.54687143572683122331307e11,5.492202806896632384443079e11,-3.648789442063975483610418e11,1.568765190796046048252967e11,-3.96322397355035882948465e10,4.488283162093987186080077e9,
|
||||
7.104506883567735481305347e9,-6.187049816498057381143049e10,2.416446874292131551966615e11,-5.54687143572683122331307e11,8.24042373164186567961418e11,-8.21334614709639005812885e11,5.492202806896632384443079e11,-2.376629068033091658162733e11,6.043297112331638229319034e10,-6.889588420929101049160169e9,
|
||||
-6.889588420929101049160169e9,6.043297112331638229319034e10,-2.376629068033091658162733e11,5.492202806896632384443079e11,-8.21334614709639005812885e11,8.24042373164186567961418e11,-5.54687143572683122331307e11,2.416446874292131551966615e11,-6.187049816498057381143049e10,7.104506883567735481305347e9,
|
||||
4.488283162093987186080077e9,-3.96322397355035882948465e10,1.568765190796046048252967e11,-3.648789442063975483610418e11,5.492202806896632384443079e11,-5.54687143572683122331307e11,3.759206636191850083921499e11,-1.649251421244182576822363e11,4.254158435739183726088307e10,-4.924003475736919413754202e9,
|
||||
-1.893897995758985343704925e9,1.682792313561225888133561e10,-6.702472550485535940410378e10,1.568765190796046048252967e11,-2.376629068033091658162733e11,2.416446874292131551966615e11,-1.649251421244182576822363e11,7.29011624938461346328553e10,-1.895751038098620270442527e10,2.214005335040034243937869e9,
|
||||
4.698563555523323286790182e8,-4.199666411955734682546936e9,1.682792313561225888133561e10,-3.96322397355035882948465e10,6.043297112331638229319034e10,-6.187049816498057381143049e10,4.254158435739183726088307e10,-1.895751038098620270442527e10,4.974567361015092233062095e9,-5.87036695473523511345671e8,
|
||||
-5.226565027134222930403822e7,4.698563555523323286790182e8,-1.893897995758985343704925e9,4.488283162093987186080077e9,-6.889588420929101049160169e9,7.104506883567735481305347e9,-4.924003475736919413754202e9,2.214005335040034243937869e9,-5.87036695473523511345671e8,7.01508542351486300082272e7,
|
||||
|
||||
|
||||
|
||||
2.386034926746273573339928e8,-2.24434676871329573749744e9,9.59852873564560511626511e9,-2.452644190757365543703449e10,4.141461539940249718907139e10,-4.825103616834842670621503e10,3.926386424010296971935459e10,-2.203054490440518108475599e10,8.156973075706618060706943e9,-1.800102881387471588990376e9,1.799076096334068212731141e8,
|
||||
-2.24434676871329573749744e9,2.131826970287992287291507e10,-9.19266244376618662048381e10,2.365870735371698522566602e11,-4.020687786763215443929679e11,4.711882650347926103450807e11,-3.855040795273630468107128e11,2.173994663728494603893079e11,-8.08803220557404275950345e10,1.793104228780489372519109e10,-1.800102881387471588990376e9,
|
||||
9.59852873564560511626511e9,-9.19266244376618662048381e10,3.99274901939488701715872e11,-1.034318982312572568945208e12,1.768334284759316540661617e12,-2.083909158763869918257714e12,1.713925109433422832485592e12,-9.71379187771462917643755e11,3.631249806302428939468992e11,-8.08803220557404275950345e10,8.156973075706618060706943e9,
|
||||
-2.452644190757365543703449e10,2.365870735371698522566602e11,-1.034318982312572568945208e12,2.695633989484065095912702e12,-4.634843773346904225565679e12,5.491475250265815906084336e12,-4.539874825179258849844009e12,2.585876793510602885509945e12,-9.71379187771462917643755e11,2.173994663728494603893079e11,-2.203054490440518108475599e10,
|
||||
4.141461539940249718907139e10,-4.020687786763215443929679e11,1.768334284759316540661617e12,-4.634843773346904225565679e12,8.012561661549007558799584e12,-9.54354995342060047194563e12,7.930343806701436388132641e12,-4.539874825179258849844009e12,1.713925109433422832485592e12,-3.855040795273630468107128e11,3.926386424010296971935459e10,
|
||||
-4.825103616834842670621503e10,4.711882650347926103450807e11,-2.083909158763869918257714e12,5.491475250265815906084336e12,-9.54354995342060047194563e12,1.142609099863115299689751e13,-9.54354995342060047194563e12,5.491475250265815906084336e12,-2.083909158763869918257714e12,4.711882650347926103450807e11,-4.825103616834842670621503e10,
|
||||
3.926386424010296971935459e10,-3.855040795273630468107128e11,1.713925109433422832485592e12,-4.539874825179258849844009e12,7.930343806701436388132641e12,-9.54354995342060047194563e12,8.012561661549007558799584e12,-4.634843773346904225565679e12,1.768334284759316540661617e12,-4.020687786763215443929679e11,4.141461539940249718907139e10,
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||||
4.824436349918797981509855e19,-1.007043982263629817371057e21, 1.001443391216344591972202e22,-6.3099543094899533556753e22, 2.826120594409294464734775e23,-9.56757427637952688056863e23, 2.541438114695786879577466e24,-5.426946141254861919051054e24, 9.467770378716769539249562e24,-1.363867695694202421069447e25, 1.632846298894644015838307e25,-1.629687463514597320612713e25, 1.355966046685714606128759e25,-9.376491981739159181097841e24, 5.353796229996918701145636e24,-2.497445771800174106308499e24, 9.36535125319103562299257e23,-2.755579961083559416874381e23, 6.128326285319429751286148e22,-9.68784985401250632078413e21, 9.70343274879430390545732e20,-4.630081715138988666811201e19,
|
||||
-6.904803115780079069130918e19,1.442506464506149122740468e21, -1.435675303804583972827393e22,9.0534224218588568143255e22, -4.058173223771268187971307e23,1.374965899048095782882797e24, -3.655248954743235134998353e24,7.811558134496180590921977e24, -1.363867695694202421069447e25,1.966242124718655101972993e25, -2.355853926845865308245079e25,2.353119354650801503022899e25, -1.959401812653926882571068e25,1.355966046685714606128759e25, -7.748236688335623299935791e24,3.617168940073299004597871e24, -1.357462223445270310268634e24,3.997119489735545555889481e23, -8.89623223150956093903182e22,1.407413320061025842417379e22, -1.410749249421646644193907e21,6.736644837353594889548586e19,
|
||||
8.21395985322428270402645e19,-1.717410832559333569475929e21, 1.710664181630068421638156e22,-1.079619419246101409997264e23, 4.843233534230649692053874e23,-1.642258434935196346879054e24, 4.369274600294726970050501e24,-9.344824280931907502393976e24, 1.632846298894644015838307e25,-2.355853926845865308245079e25, 2.824859970891574001566976e25,-2.823766757410912909776768e25, 2.353119354650801503022899e25,-1.629687463514597320612713e25, 9.319510691017083455952032e24,-4.354051905692751582265127e24, 1.635261416370134680333929e24,-4.818828291022908947734088e23, 1.073336214065601093686634e23,-1.699367756272170998481105e22, 1.704717927510938090920672e21,-8.14675283155587506068531e19,
|
||||
-8.14675283155587506068531e19,1.704717927510938090920672e21, -1.699367756272170998481105e22,1.073336214065601093686634e23, -4.818828291022908947734088e23,1.635261416370134680333929e24, -4.354051905692751582265127e24,9.319510691017083455952032e24, -1.629687463514597320612713e25,2.353119354650801503022899e25, -2.823766757410912909776768e25,2.824859970891574001566976e25, -2.355853926845865308245079e25,1.632846298894644015838307e25, -9.344824280931907502393976e24,4.369274600294726970050501e24, -1.642258434935196346879054e24,4.843233534230649692053874e23, -1.079619419246101409997264e23,1.710664181630068421638156e22, -1.717410832559333569475929e21,8.21395985322428270402645e19,
|
||||
6.736644837353594889548586e19,-1.410749249421646644193907e21, 1.407413320061025842417379e22,-8.89623223150956093903182e22, 3.997119489735545555889481e23,-1.357462223445270310268634e24, 3.617168940073299004597871e24,-7.748236688335623299935791e24, 1.355966046685714606128759e25,-1.959401812653926882571068e25, 2.353119354650801503022899e25,-2.355853926845865308245079e25, 1.966242124718655101972993e25,-1.363867695694202421069447e25, 7.811558134496180590921977e24,-3.655248954743235134998353e24, 1.374965899048095782882797e24,-4.058173223771268187971307e23, 9.0534224218588568143255e22,-1.435675303804583972827393e22, 1.442506464506149122740468e21,-6.904803115780079069130918e19,
|
||||
-4.630081715138988666811201e19,9.70343274879430390545732e20, -9.68784985401250632078413e21,6.128326285319429751286148e22, -2.755579961083559416874381e23,9.36535125319103562299257e23, -2.497445771800174106308499e24,5.353796229996918701145636e24, -9.376491981739159181097841e24,1.355966046685714606128759e25, -1.629687463514597320612713e25,1.632846298894644015838307e25, -1.363867695694202421069447e25,9.467770378716769539249562e24, -5.426946141254861919051054e24,2.541438114695786879577466e24, -9.56757427637952688056863e23,2.826120594409294464734775e23, -6.3099543094899533556753e22,1.001443391216344591972202e22, -1.007043982263629817371057e21,4.824436349918797981509855e19,
|
||||
2.627844423484898466695819e19,-5.511373657420307971036792e20, 5.506627004627396509412082e21,-3.485977176721513747910326e22, 1.568631398207047406638797e23,-5.33529250799338148953236e23, 1.423828813649263422338754e24,-3.054587525387014887420063e24, 5.353796229996918701145636e24,-7.748236688335623299935791e24, 9.319510691017083455952032e24,-9.344824280931907502393976e24, 7.811558134496180590921977e24,-5.426946141254861919051054e24, 3.113211966868942120444526e24,-1.459087618982074189642306e24, 5.497381397466581933311653e23,-1.625177259678364067095278e23, 3.631586764691528834358149e22,-5.768478310166004207588991e21, 5.805676240853809122853531e20,-2.783721383661314568267921e19,
|
||||
-1.218588194296823079692595e19,2.557608128818808891190844e20, -2.557276378578782904254357e21,1.620077109446059082963545e22, -7.295460487762564797728842e22,2.483204302647067957689161e23, -6.6318758201012981520302e23,1.423828813649263422338754e24, -2.497445771800174106308499e24,3.617168940073299004597871e24, -4.354051905692751582265127e24,4.369274600294726970050501e24, -3.655248954743235134998353e24,2.541438114695786879577466e24, -1.459087618982074189642306e24,6.84395143303128817542568e23, -2.580707634093218001691358e23,7.6356485592054937025361e22, -1.70769029506120837370177e22,2.714857775835105903586712e21, -2.734751447846734660450121e20,1.312431508765301883880049e19,
|
||||
4.542962392223536831760393e18,-9.54172341398164723115311e19, 9.54734892608095594354656e20,-6.052782161520834538371327e21, 2.727648921128218738192362e22,-9.29109787151243240194985e22, 2.483204302647067957689161e23,-5.33529250799338148953236e23, 9.36535125319103562299257e23,-1.357462223445270310268634e24, 1.635261416370134680333929e24,-1.642258434935196346879054e24, 1.374965899048095782882797e24,-9.56757427637952688056863e23, 5.497381397466581933311653e23,-2.580707634093218001691358e23, 9.7394325756514540948574e22,-2.884096019531345182089873e22, 6.455772919689774642298999e21,-1.027231849800139610259139e21, 1.035688053936064278265946e20,-4.974913602213226423433638e18,
|
||||
-1.328957126478842699753185e18,2.793209607053760476492481e19, -2.796833598902568128723034e20,1.774387758423019650245945e21, -8.001923699558027210525278e21,2.727648921128218738192362e22, -7.295460487762564797728842e22,1.568631398207047406638797e23, -2.755579961083559416874381e23,3.997119489735545555889481e23, -4.818828291022908947734088e23,4.843233534230649692053874e23, -4.058173223771268187971307e23,2.826120594409294464734775e23, -1.625177259678364067095278e23,7.6356485592054937025361e22, -2.884096019531345182089873e22,8.547948047336429626286444e21, -1.915068015849673514250125e21,3.049976744159768406852692e20, -3.077925327624943269951033e19,1.479876413290541343670378e18,
|
||||
2.938658416885155106071674e17,-6.180749798247277530319787e18, 6.193078314293682813236045e19,-3.931822270293742621179417e20, 1.774387758423019650245945e21,-6.052782161520834538371327e21, 1.620077109446059082963545e22,-3.485977176721513747910326e22, 6.128326285319429751286148e22,-8.89623223150956093903182e22, 1.073336214065601093686634e23,-1.079619419246101409997264e23, 9.0534224218588568143255e22,-6.3099543094899533556753e22, 3.631586764691528834358149e22,-1.70769029506120837370177e22, 6.455772919689774642298999e21,-1.915068015849673514250125e21, 4.294369697387628780284184e20,-6.845646709643291961464531e19, 6.914956001172384109384901e18,-3.327988292127193849725342e17,
|
||||
-4.619213263502820976723343e16,9.72197652746772053084202e17, -9.74805126005942416026508e18,6.193078314293682813236045e19, -2.796833598902568128723034e20,9.54734892608095594354656e20, -2.557276378578782904254357e21,5.506627004627396509412082e21, -9.68784985401250632078413e21,1.407413320061025842417379e22, -1.699367756272170998481105e22,1.710664181630068421638156e22, -1.435675303804583972827393e22,1.001443391216344591972202e22, -5.768478310166004207588991e21,2.714857775835105903586712e21, -1.027231849800139610259139e21,3.049976744159768406852692e20, -6.845646709643291961464531e19,1.092304690377514239607262e19, -1.104448752098454216844309e18,5.320819605851523030989826e16,
|
||||
4.600671634381104512038921e15,-9.68941711048991549827953e16, 9.72197652746772053084202e17,-6.180749798247277530319787e18, 2.793209607053760476492481e19,-9.54172341398164723115311e19, 2.557608128818808891190844e20,-5.511373657420307971036792e20, 9.70343274879430390545732e20,-1.410749249421646644193907e21, 1.704717927510938090920672e21,-1.717410832559333569475929e21, 1.442506464506149122740468e21,-1.007043982263629817371057e21, 5.805676240853809122853531e20,-2.734751447846734660450121e20, 1.035688053936064278265946e20,-3.077925327624943269951033e19, 6.914956001172384109384901e18,-1.104448752098454216844309e18, 1.117863840967141335087669e17,-5.391128745050949790166948e15,
|
||||
-2.183027720299264057716137e14,4.600671634381104512038921e15, -4.619213263502820976723343e16,2.938658416885155106071674e17, -1.328957126478842699753185e18,4.542962392223536831760393e18, -1.218588194296823079692595e19,2.627844423484898466695819e19, -4.630081715138988666811201e19,6.736644837353594889548586e19, -8.14675283155587506068531e19,8.21395985322428270402645e19, -6.904803115780079069130918e19,4.824436349918797981509855e19, -2.783721383661314568267921e19,1.312431508765301883880049e19, -4.974913602213226423433638e18,1.479876413290541343670378e18, -3.327988292127193849725342e17,5.320819605851523030989826e16, -5.391128745050949790166948e15,2.60284023622889356760553e14
|
||||
|
||||
};
|
||||
|
||||
|
||||
|
||||
void IBTMatrix(const Standard_Integer classe, math_Matrix& IBTMa)
|
||||
{
|
||||
if (classe > 26) Standard_DimensionError::Raise("IBTMatrix: classe > 26");
|
||||
// math_Matrix IBTMa(1, classe-4, 1, classe-4);
|
||||
Standard_Integer i, j, k = 0, Som = 0;
|
||||
for (i = 1; i < classe-4; i++) {
|
||||
Som += (i)*(i);
|
||||
}
|
||||
for (i = 1; i <= classe-4; i++) {
|
||||
for (j = 1; j <= classe-4; j++) {
|
||||
IBTMa(i+IBTMa.LowerRow()-1, j+IBTMa.LowerCol()-1) = IBT[Som+k];
|
||||
k++;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
1247
src/AppCont/AppCont_ContMatrices_4.cxx
Executable file
1247
src/AppCont/AppCont_ContMatrices_4.cxx
Executable file
File diff suppressed because one or more lines are too long
40
src/AppCont/AppCont_Function.cdl
Executable file
40
src/AppCont/AppCont_Function.cdl
Executable file
@@ -0,0 +1,40 @@
|
||||
-- File: AppCont_Function.cdl
|
||||
-- Created: Wed Sep 1 15:17:55 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@nonox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
deferred class Function from AppCont
|
||||
|
||||
---Purpose: deferred class describing a continous 3d function f(u)
|
||||
|
||||
|
||||
uses Pnt from gp,
|
||||
Vec from gp
|
||||
|
||||
is
|
||||
|
||||
Delete(me:out) is virtual;
|
||||
---C++: alias "Standard_EXPORT virtual ~AppCont_Function(){Delete() ; }"
|
||||
|
||||
|
||||
FirstParameter(me) returns Real
|
||||
---Purpose: returns the first parameter of the function.
|
||||
is deferred;
|
||||
|
||||
LastParameter(me) returns Real
|
||||
---Purpose: returns the last parameter of the function.
|
||||
is deferred;
|
||||
|
||||
Value(me; U: Real) returns Pnt
|
||||
---Purpose: returns the point at parameter <U>.
|
||||
is deferred;
|
||||
|
||||
D1(me; U: Real; P: in out Pnt; V: in out Vec) returns Boolean
|
||||
---Purpose: returns the point and the derivative values at
|
||||
-- the parameter <U>.
|
||||
is deferred;
|
||||
|
||||
|
||||
end Function;
|
||||
4
src/AppCont/AppCont_Function.cxx
Executable file
4
src/AppCont/AppCont_Function.cxx
Executable file
@@ -0,0 +1,4 @@
|
||||
#include <AppCont_Function.ixx>
|
||||
|
||||
void AppCont_Function::Delete()
|
||||
{}
|
||||
40
src/AppCont/AppCont_Function2d.cdl
Executable file
40
src/AppCont/AppCont_Function2d.cdl
Executable file
@@ -0,0 +1,40 @@
|
||||
-- File: AppCont_Function2d.cdl
|
||||
-- Created: Wed Sep 1 15:17:55 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@nonox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
deferred class Function2d from AppCont
|
||||
|
||||
---Purpose: deferred class describing a continous 2d function f(u)
|
||||
|
||||
|
||||
uses Pnt2d from gp,
|
||||
Vec2d from gp
|
||||
|
||||
is
|
||||
|
||||
Delete(me:out) is virtual;
|
||||
---C++: alias "Standard_EXPORT virtual ~AppCont_Function2d(){Delete() ; }"
|
||||
|
||||
|
||||
FirstParameter(me) returns Real
|
||||
---Purpose: returns the first parameter of the function.
|
||||
is deferred;
|
||||
|
||||
LastParameter(me) returns Real
|
||||
---Purpose: returns the last parameter of the function.
|
||||
is deferred;
|
||||
|
||||
Value(me; U: Real) returns Pnt2d
|
||||
---Purpose: returns the point at parameter <U>.
|
||||
is deferred;
|
||||
|
||||
D1(me; U: Real; P: in out Pnt2d; V: in out Vec2d) returns Boolean
|
||||
---Purpose: returns the point and the derivative values at
|
||||
-- the parameter <U>.
|
||||
is deferred;
|
||||
|
||||
|
||||
end Function2d;
|
||||
4
src/AppCont/AppCont_Function2d.cxx
Executable file
4
src/AppCont/AppCont_Function2d.cxx
Executable file
@@ -0,0 +1,4 @@
|
||||
#include <AppCont_Function2d.ixx>
|
||||
|
||||
void AppCont_Function2d::Delete()
|
||||
{}
|
||||
76
src/AppCont/AppCont_FunctionTool.cdl
Executable file
76
src/AppCont/AppCont_FunctionTool.cdl
Executable file
@@ -0,0 +1,76 @@
|
||||
-- File: AppCont_FunctionTool.cdl
|
||||
-- Created: Wed Sep 1 15:20:45 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@nonox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
class FunctionTool from AppCont
|
||||
|
||||
|
||||
uses Function from AppCont,
|
||||
Pnt from gp,
|
||||
Pnt2d from gp,
|
||||
Vec from gp,
|
||||
Vec2d from gp,
|
||||
Array1OfPnt from TColgp,
|
||||
Array1OfPnt2d from TColgp,
|
||||
Array1OfVec from TColgp,
|
||||
Array1OfVec2d from TColgp
|
||||
|
||||
is
|
||||
|
||||
FirstParameter(myclass; C: Function from AppCont) returns Real;
|
||||
---Purpose: returns the first parameter of the Function.
|
||||
|
||||
LastParameter(myclass; C: Function from AppCont) returns Real;
|
||||
---Purpose: returns the last parameter of the Function.
|
||||
|
||||
NbP2d(myclass; C: Function from AppCont) returns Integer;
|
||||
---Purpose: Returns 0.
|
||||
|
||||
|
||||
NbP3d(myclass; C: Function from AppCont) returns Integer;
|
||||
---Purpose: Returns 1. (the approximation will be done only for one
|
||||
-- function.
|
||||
|
||||
|
||||
Value(myclass; C: Function from AppCont; U: Real; tabPt: out Array1OfPnt);
|
||||
---Purpose: <tabP> is an array of only 1 element, the point value at
|
||||
-- the parameter <U>.
|
||||
|
||||
|
||||
D1(myclass; C: Function from AppCont; U: Real; tabV: out Array1OfVec)
|
||||
returns Boolean;
|
||||
---Purpose: <tabV> is an array of only 1 element, the derivative
|
||||
-- value at the parameter <U>.
|
||||
|
||||
|
||||
----------------------------------------------------------
|
||||
-- the following methods won t be called by the algorithms
|
||||
-- but the description must exist in the tool.
|
||||
----------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
Value(myclass; C: Function from AppCont;U: Real;
|
||||
tabPt2d: out Array1OfPnt2d);
|
||||
|
||||
Value(myclass; C: Function from AppCont; U: Real;
|
||||
tabPt: out Array1OfPnt;
|
||||
tabPt2d: out Array1OfPnt2d);
|
||||
|
||||
|
||||
D1(myclass;C: Function from AppCont;U: Real;
|
||||
tabV2d: out Array1OfVec2d)
|
||||
returns Boolean;
|
||||
|
||||
|
||||
D1(myclass; C: Function from AppCont; U: Real;
|
||||
tabV: out Array1OfVec;
|
||||
tabV2d: out Array1OfVec2d)
|
||||
returns Boolean;
|
||||
|
||||
|
||||
end FunctionTool;
|
||||
|
||||
95
src/AppCont/AppCont_FunctionTool.cxx
Executable file
95
src/AppCont/AppCont_FunctionTool.cxx
Executable file
@@ -0,0 +1,95 @@
|
||||
#include <AppCont_FunctionTool.ixx>
|
||||
|
||||
#include <AppCont_Function.hxx>
|
||||
#include <TColgp_Array1OfPnt.hxx>
|
||||
#include <TColgp_Array1OfVec.hxx>
|
||||
#include <gp_Pnt.hxx>
|
||||
#include <gp_Vec.hxx>
|
||||
|
||||
|
||||
Standard_Real AppCont_FunctionTool::FirstParameter
|
||||
(const AppCont_Function& F)
|
||||
{
|
||||
return F.FirstParameter();
|
||||
}
|
||||
|
||||
Standard_Real AppCont_FunctionTool::LastParameter
|
||||
(const AppCont_Function& F)
|
||||
{
|
||||
return F.LastParameter();
|
||||
}
|
||||
|
||||
Standard_Integer AppCont_FunctionTool::NbP2d
|
||||
(const AppCont_Function&)
|
||||
{
|
||||
return (0);
|
||||
}
|
||||
|
||||
|
||||
Standard_Integer AppCont_FunctionTool::NbP3d
|
||||
(const AppCont_Function&)
|
||||
{
|
||||
return (1);
|
||||
}
|
||||
|
||||
void AppCont_FunctionTool::Value(const AppCont_Function& F,
|
||||
const Standard_Real U,
|
||||
TColgp_Array1OfPnt& tabPt)
|
||||
{
|
||||
tabPt(tabPt.Lower()) = F.Value(U);
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
Standard_Boolean AppCont_FunctionTool::D1
|
||||
(const AppCont_Function& F,
|
||||
const Standard_Real U,
|
||||
TColgp_Array1OfVec& tabV)
|
||||
{
|
||||
gp_Pnt P;
|
||||
gp_Vec V;
|
||||
Standard_Boolean Ok = F.D1(U, P, V);
|
||||
tabV(tabV.Lower()) = V;
|
||||
return Ok;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
void AppCont_FunctionTool::Value(const AppCont_Function&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfPnt2d&)
|
||||
{
|
||||
}
|
||||
|
||||
|
||||
void AppCont_FunctionTool::Value(const AppCont_Function&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfPnt&,
|
||||
TColgp_Array1OfPnt2d&)
|
||||
{
|
||||
}
|
||||
|
||||
|
||||
|
||||
Standard_Boolean AppCont_FunctionTool::D1
|
||||
(const AppCont_Function&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfVec2d&)
|
||||
{
|
||||
return (Standard_True);
|
||||
}
|
||||
|
||||
|
||||
Standard_Boolean AppCont_FunctionTool::D1
|
||||
(const AppCont_Function&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfVec&,
|
||||
TColgp_Array1OfVec2d&)
|
||||
{
|
||||
return (Standard_True);
|
||||
}
|
||||
|
||||
76
src/AppCont/AppCont_FunctionTool2d.cdl
Executable file
76
src/AppCont/AppCont_FunctionTool2d.cdl
Executable file
@@ -0,0 +1,76 @@
|
||||
-- File: AppCont_FunctionTool2d.cdl
|
||||
-- Created: Wed Sep 1 15:20:45 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@nonox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
class FunctionTool2d from AppCont
|
||||
|
||||
|
||||
uses Function2d from AppCont,
|
||||
Pnt from gp,
|
||||
Pnt2d from gp,
|
||||
Vec from gp,
|
||||
Vec2d from gp,
|
||||
Array1OfPnt from TColgp,
|
||||
Array1OfPnt2d from TColgp,
|
||||
Array1OfVec from TColgp,
|
||||
Array1OfVec2d from TColgp
|
||||
|
||||
is
|
||||
|
||||
FirstParameter(myclass; C: Function2d from AppCont) returns Real;
|
||||
---Purpose: returns the first parameter of the Function.
|
||||
|
||||
LastParameter(myclass; C: Function2d from AppCont) returns Real;
|
||||
---Purpose: returns the last parameter of the Function.
|
||||
|
||||
NbP2d(myclass; C: Function2d from AppCont) returns Integer;
|
||||
---Purpose: Returns 1. (the approximation will be done only for one
|
||||
-- function.
|
||||
|
||||
|
||||
NbP3d(myclass; C: Function2d from AppCont) returns Integer;
|
||||
---Purpose: Returns 0.
|
||||
|
||||
Value(myclass; C: Function2d from AppCont;
|
||||
U: Real; tabPt: out Array1OfPnt2d);
|
||||
---Purpose: <tabP> is an array of only 1 element, the point value at
|
||||
-- the parameter <U>.
|
||||
|
||||
|
||||
D1(myclass; C: Function2d from AppCont; U: Real; tabV: out Array1OfVec2d)
|
||||
returns Boolean;
|
||||
---Purpose: <tabV> is an array of only 1 element, the derivative
|
||||
-- value at the parameter <U>.
|
||||
|
||||
|
||||
----------------------------------------------------------
|
||||
-- the following methods won t be called by the algorithms
|
||||
-- but the description must exist in the tool.
|
||||
----------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
Value(myclass; C: Function2d from AppCont;U: Real;
|
||||
tabPt2d: out Array1OfPnt);
|
||||
|
||||
Value(myclass; C: Function2d from AppCont; U: Real;
|
||||
tabPt: out Array1OfPnt;
|
||||
tabPt2d: out Array1OfPnt2d);
|
||||
|
||||
|
||||
D1(myclass;C: Function2d from AppCont;U: Real;
|
||||
tabV2d: out Array1OfVec)
|
||||
returns Boolean;
|
||||
|
||||
|
||||
D1(myclass; C: Function2d from AppCont; U: Real;
|
||||
tabV: out Array1OfVec;
|
||||
tabV2d: out Array1OfVec2d)
|
||||
returns Boolean;
|
||||
|
||||
|
||||
end FunctionTool2d;
|
||||
|
||||
95
src/AppCont/AppCont_FunctionTool2d.cxx
Executable file
95
src/AppCont/AppCont_FunctionTool2d.cxx
Executable file
@@ -0,0 +1,95 @@
|
||||
#include <AppCont_FunctionTool2d.ixx>
|
||||
|
||||
#include <AppCont_Function2d.hxx>
|
||||
#include <TColgp_Array1OfPnt2d.hxx>
|
||||
#include <TColgp_Array1OfVec2d.hxx>
|
||||
#include <gp_Pnt2d.hxx>
|
||||
#include <gp_Vec2d.hxx>
|
||||
|
||||
|
||||
Standard_Real AppCont_FunctionTool2d::FirstParameter
|
||||
(const AppCont_Function2d& F)
|
||||
{
|
||||
return F.FirstParameter();
|
||||
}
|
||||
|
||||
Standard_Real AppCont_FunctionTool2d::LastParameter
|
||||
(const AppCont_Function2d& F)
|
||||
{
|
||||
return F.LastParameter();
|
||||
}
|
||||
|
||||
Standard_Integer AppCont_FunctionTool2d::NbP2d
|
||||
(const AppCont_Function2d&)
|
||||
{
|
||||
return (1);
|
||||
}
|
||||
|
||||
|
||||
Standard_Integer AppCont_FunctionTool2d::NbP3d
|
||||
(const AppCont_Function2d&)
|
||||
{
|
||||
return (0);
|
||||
}
|
||||
|
||||
void AppCont_FunctionTool2d::Value(const AppCont_Function2d& F,
|
||||
const Standard_Real U,
|
||||
TColgp_Array1OfPnt2d& tabPt)
|
||||
{
|
||||
tabPt(tabPt.Lower()) = F.Value(U);
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
Standard_Boolean AppCont_FunctionTool2d::D1
|
||||
(const AppCont_Function2d& F,
|
||||
const Standard_Real U,
|
||||
TColgp_Array1OfVec2d& tabV)
|
||||
{
|
||||
gp_Pnt2d P;
|
||||
gp_Vec2d V;
|
||||
Standard_Boolean Ok = F.D1(U, P, V);
|
||||
tabV(tabV.Lower()) = V;
|
||||
return Ok;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
void AppCont_FunctionTool2d::Value(const AppCont_Function2d&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfPnt&)
|
||||
{
|
||||
}
|
||||
|
||||
|
||||
void AppCont_FunctionTool2d::Value(const AppCont_Function2d&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfPnt&,
|
||||
TColgp_Array1OfPnt2d&)
|
||||
{
|
||||
}
|
||||
|
||||
|
||||
|
||||
Standard_Boolean AppCont_FunctionTool2d::D1
|
||||
(const AppCont_Function2d&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfVec&)
|
||||
{
|
||||
return (Standard_False);
|
||||
}
|
||||
|
||||
|
||||
Standard_Boolean AppCont_FunctionTool2d::D1
|
||||
(const AppCont_Function2d&,
|
||||
const Standard_Real,
|
||||
TColgp_Array1OfVec&,
|
||||
TColgp_Array1OfVec2d&)
|
||||
{
|
||||
return (Standard_False);
|
||||
}
|
||||
|
||||
98
src/AppCont/AppCont_LeastSquare.cdl
Executable file
98
src/AppCont/AppCont_LeastSquare.cdl
Executable file
@@ -0,0 +1,98 @@
|
||||
-- File: AppCont_LeastSquare.cdl
|
||||
-- Created: Thu Apr 22 14:05:49 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@phobox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
|
||||
generic class LeastSquare from AppCont(MultiLine as any;
|
||||
LineTool as any)
|
||||
---as TheToolLine(MultiLine)
|
||||
|
||||
---Purpose:
|
||||
|
||||
|
||||
uses Matrix from math,
|
||||
Vector from math,
|
||||
Constraint from AppParCurves,
|
||||
MultiCurve from AppParCurves
|
||||
|
||||
|
||||
raises NotDone from StdFail,
|
||||
OutOfRange from Standard,
|
||||
DimensionError from Standard
|
||||
|
||||
|
||||
|
||||
is
|
||||
|
||||
Create(SSP: MultiLine; U0, U1: Real; FirstCons, LastCons: Constraint;
|
||||
Deg: Integer; NbPoints: Integer = 24)
|
||||
---Purpose: given a continous MultiLine, this algorithm computes
|
||||
-- the approximation into Bezier curves.
|
||||
-- NbPoints points are taken on the initial MultiLine for
|
||||
-- minimizing the surface between the MultiLine and the
|
||||
-- Bezier curves doing the approximation.
|
||||
-- The first point will be the point of parameter U0 with
|
||||
-- a constraint FirstCons.
|
||||
-- The last point will be the point of parameter U1 with
|
||||
-- a constraint LastCons.
|
||||
|
||||
returns LeastSquare from AppCont
|
||||
raises DimensionError from Standard;
|
||||
|
||||
|
||||
|
||||
IsDone(me)
|
||||
---Purpose: returns True if all has been correctly done.
|
||||
|
||||
returns Boolean
|
||||
is static;
|
||||
|
||||
|
||||
Value(me: in out)
|
||||
---Purpose: returns the result of the approximation, i.e. a
|
||||
-- MultiCurve.
|
||||
-- An exception is raised if NotDone.
|
||||
---C++: return const &
|
||||
|
||||
returns MultiCurve from AppParCurves
|
||||
raises NotDone from StdFail
|
||||
is static;
|
||||
|
||||
|
||||
NbBColumns(me; SSP: MultiLine)
|
||||
---Purpose: is internally used by the constuctor.
|
||||
|
||||
returns Integer
|
||||
is static protected;
|
||||
|
||||
|
||||
Error(me; F: in out Real; MaxE3d, MaxE2d: in out Real)
|
||||
---Purpose: F is the sum of the square errors at each of the
|
||||
-- NbPoints of the MultiLine.
|
||||
-- MaxE3d is the maximum 3d value of these errors.
|
||||
-- MaxE2d is the maximum 2d value of these errors.
|
||||
-- An exception is raised if NotDone.
|
||||
|
||||
raises NotDone from StdFail
|
||||
is static;
|
||||
|
||||
|
||||
|
||||
fields
|
||||
|
||||
Done: Boolean;
|
||||
SCU: MultiCurve from AppParCurves;
|
||||
Degre: Integer;
|
||||
Nbdiscret: Integer;
|
||||
nbP: Integer;
|
||||
nbP2d: Integer;
|
||||
Points: Matrix;
|
||||
Poles: Matrix;
|
||||
myParam: Vector;
|
||||
VB: Matrix;
|
||||
|
||||
end LeastSquare from AppCont;
|
||||
|
||||
494
src/AppCont/AppCont_LeastSquare.gxx
Executable file
494
src/AppCont/AppCont_LeastSquare.gxx
Executable file
@@ -0,0 +1,494 @@
|
||||
// File: AppCont_LeastSquare.gxx
|
||||
// Created: Tue Mar 14 14:09:22 1995
|
||||
// Author: Modelistation
|
||||
// <model@phobox>
|
||||
|
||||
|
||||
#ifndef DEB
|
||||
#define No_Standard_OutOfRange
|
||||
#define No_Standard_RangeError
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
#include <math.hxx>
|
||||
#include <math_Vector.hxx>
|
||||
#include <math_Matrix.hxx>
|
||||
#include <TColgp_Array1OfPnt.hxx>
|
||||
#include <TColgp_Array1OfPnt2d.hxx>
|
||||
#include <gp_Pnt2d.hxx>
|
||||
#include <gp_Pnt.hxx>
|
||||
#include <gp_Vec.hxx>
|
||||
#include <gp_Vec2d.hxx>
|
||||
#include <TColgp_Array1OfVec.hxx>
|
||||
#include <TColgp_Array1OfVec2d.hxx>
|
||||
#include <AppParCurves_MultiPoint.hxx>
|
||||
#include <AppCont_ContMatrices.hxx>
|
||||
#include <PLib.hxx>
|
||||
|
||||
|
||||
|
||||
|
||||
//=======================================================================
|
||||
//function : AppCont_LeastSquare
|
||||
//purpose :
|
||||
//=======================================================================
|
||||
|
||||
AppCont_LeastSquare::AppCont_LeastSquare
|
||||
(const MultiLine& SSP,
|
||||
const Standard_Real U0,
|
||||
const Standard_Real U1,
|
||||
const AppParCurves_Constraint FirstCons,
|
||||
const AppParCurves_Constraint LastCons,
|
||||
const Standard_Integer Deg,
|
||||
const Standard_Integer NbPoints):
|
||||
SCU(Deg+1),
|
||||
Points(1, NbPoints, 1, NbBColumns(SSP)),
|
||||
Poles(1, Deg+1, 1, NbBColumns(SSP), 0.0),
|
||||
myParam(1, NbPoints),
|
||||
VB(1, Deg+1, 1, NbPoints)
|
||||
|
||||
{
|
||||
Done = Standard_False;
|
||||
Degre = Deg;
|
||||
math_Matrix InvM(1, Deg+1, 1, Deg+1);
|
||||
Standard_Integer i, j, k, c, i2;
|
||||
Standard_Integer classe = Deg+1, cl1 = Deg;
|
||||
Standard_Real U, dU, Coeff, Coeff2;
|
||||
Standard_Real IBij, IBPij;
|
||||
|
||||
Standard_Integer FirstP = 1, LastP = NbPoints;
|
||||
Standard_Integer nbcol = NbBColumns(SSP);
|
||||
math_Matrix B(1, classe, 1, nbcol, 0.0);
|
||||
Standard_Integer bdeb = 1, bfin = classe;
|
||||
AppParCurves_Constraint myFirstC = FirstCons, myLastC = LastCons;
|
||||
nbP = LineTool::NbP3d(SSP);
|
||||
nbP2d = LineTool::NbP2d(SSP);
|
||||
Standard_Integer mynbP = nbP, mynbP2d = nbP2d;
|
||||
if (nbP == 0) mynbP = 1;
|
||||
if (nbP2d == 0) mynbP2d = 1;
|
||||
|
||||
Standard_Integer i2plus1, i2plus2;
|
||||
Nbdiscret = NbPoints;
|
||||
TColgp_Array1OfPnt TabP(1, mynbP);
|
||||
TColgp_Array1OfVec TabV(1, mynbP);
|
||||
TColgp_Array1OfPnt2d TabP2d(1, mynbP2d);
|
||||
TColgp_Array1OfVec2d TabV2d(1, mynbP2d);
|
||||
|
||||
Standard_Boolean Ok;
|
||||
if (myFirstC == AppParCurves_TangencyPoint) {
|
||||
if (nbP != 0 && nbP2d != 0) Ok=LineTool::D1(SSP, U0, TabV, TabV2d);
|
||||
else if (nbP != 0) Ok=LineTool::D1(SSP, U0, TabV);
|
||||
else Ok=LineTool::D1(SSP, U0, TabV2d);
|
||||
if (!Ok) myFirstC = AppParCurves_PassPoint;
|
||||
}
|
||||
|
||||
if (myLastC == AppParCurves_TangencyPoint) {
|
||||
if (nbP != 0 && nbP2d != 0) Ok=LineTool::D1(SSP, U1, TabV, TabV2d);
|
||||
else if (nbP != 0) Ok=LineTool::D1(SSP, U1, TabV);
|
||||
else Ok=LineTool::D1(SSP, U1, TabV2d);
|
||||
if (!Ok) myLastC = AppParCurves_PassPoint;
|
||||
}
|
||||
|
||||
math_Vector GaussP(1, NbPoints), GaussW(1, NbPoints);
|
||||
math::GaussPoints(NbPoints, GaussP);
|
||||
math::GaussWeights(NbPoints, GaussW);
|
||||
|
||||
math_Vector TheWeights(1, NbPoints), VBParam(1, NbPoints);
|
||||
|
||||
dU = 0.5*(U1-U0);
|
||||
|
||||
// calcul et mise en ordre des parametres et des poids:
|
||||
for (i = FirstP; i <= LastP; i++) {
|
||||
U = 0.5*(U1+U0) + dU*GaussP(i);
|
||||
if (i <= (NbPoints+1)/2) {
|
||||
myParam(LastP-i+1) = U;
|
||||
VBParam(LastP-i+1) = 0.5*(1 + GaussP(i));
|
||||
TheWeights(LastP-i+1) = 0.5*GaussW(i);
|
||||
}
|
||||
else {
|
||||
VBParam(i-(NbPoints+1)/2) = 0.5*(1 + GaussP(i));
|
||||
myParam(i-(NbPoints+1)/2) = U;
|
||||
TheWeights(i-(NbPoints+1)/2) = 0.5*GaussW(i);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
for (i = FirstP; i <= LastP; i++) {
|
||||
U = myParam(i);
|
||||
if (nbP != 0 && nbP2d != 0) LineTool::Value(SSP, U, TabP, TabP2d);
|
||||
else if (nbP != 0) LineTool::Value(SSP, U, TabP);
|
||||
else LineTool::Value(SSP, U, TabP2d);
|
||||
|
||||
i2 = 1;
|
||||
for (j = 1; j <= nbP; j++) {
|
||||
(TabP(j)).Coord(Points(i, i2), Points(i, i2+1), Points(i, i2+2));
|
||||
i2 += 3;
|
||||
}
|
||||
for (j = 1; j <= nbP2d; j++) {
|
||||
(TabP2d(j)).Coord(Points(i, i2), Points(i, i2+1));
|
||||
i2 += 2;
|
||||
}
|
||||
}
|
||||
|
||||
// Calcul du VB ( Valeur des fonctions de Bernstein):
|
||||
|
||||
// for (i = 1; i <= classe; i++) {
|
||||
// for (j = 1; j <= NbPoints; j++) {
|
||||
// VB(i,j)=PLib::Binomial(cl1,i-1)*Pow((1-VBParam(j)),classe-i)*
|
||||
// Pow(VBParam(j),i-1);
|
||||
// }
|
||||
// }
|
||||
|
||||
VBernstein(classe, NbPoints, VB);
|
||||
|
||||
// Traitement du second membre:
|
||||
|
||||
Standard_Real *tmppoints, *tmpbis;
|
||||
tmppoints = new Standard_Real[nbcol];
|
||||
|
||||
for (c = 1; c <= classe; c++) {
|
||||
tmpbis = tmppoints;
|
||||
for (k = 1; k <= nbcol; k++, tmpbis++) {
|
||||
*tmpbis = 0.0;
|
||||
}
|
||||
for (i = 1; i <= NbPoints; i++) {
|
||||
Coeff = TheWeights(i)*VB(c, i);
|
||||
tmpbis = tmppoints;
|
||||
for (j = 1; j <= nbcol; j++, tmpbis++) {
|
||||
*tmpbis += Points(i, j)*Coeff;
|
||||
//B(c, j) += Points(i, j)*Coeff;
|
||||
}
|
||||
}
|
||||
tmpbis = tmppoints;
|
||||
for (k = 1; k <= nbcol; k++, tmpbis++) {
|
||||
B(c, k) += *tmpbis;
|
||||
}
|
||||
}
|
||||
|
||||
delete [] tmppoints;
|
||||
|
||||
if (myFirstC == AppParCurves_NoConstraint &&
|
||||
myLastC == AppParCurves_NoConstraint) {
|
||||
|
||||
math_Matrix InvM(1, classe, 1, classe);
|
||||
InvMMatrix(classe, InvM);
|
||||
// Calcul direct des poles:
|
||||
|
||||
for (i = 1; i <= classe; i++) {
|
||||
for (j = 1; j <= classe; j++) {
|
||||
IBij = InvM(i, j);
|
||||
for (k = 1; k <= nbcol; k++) {
|
||||
Poles(i, k) += IBij * B(j, k);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
else {
|
||||
math_Matrix M(1, classe, 1, classe);
|
||||
MMatrix(classe, M);
|
||||
|
||||
if (myFirstC == AppParCurves_PassPoint ||
|
||||
myFirstC == AppParCurves_TangencyPoint) {
|
||||
|
||||
if (nbP != 0 && nbP2d != 0) LineTool::Value(SSP, U0, TabP, TabP2d);
|
||||
else if (nbP != 0) LineTool::Value(SSP, U0, TabP);
|
||||
else LineTool::Value(SSP, U0, TabP2d);
|
||||
i2 =1;
|
||||
for (k = 1; k<= nbP; k++) {
|
||||
(TabP(k)).Coord(Poles(1, i2), Poles(1, i2+1), Poles(1, i2+2));
|
||||
i2 += 3;
|
||||
}
|
||||
for (k = 1; k<= nbP2d; k++) {
|
||||
(TabP2d(k)).Coord(Poles(1, i2), Poles(1, i2+1));
|
||||
i2 += 2;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
if (myLastC == AppParCurves_PassPoint ||
|
||||
myLastC == AppParCurves_TangencyPoint) {
|
||||
|
||||
i2 = 1;
|
||||
if (nbP != 0 && nbP2d != 0) LineTool::Value(SSP, U1, TabP, TabP2d);
|
||||
else if (nbP != 0) LineTool::Value(SSP, U1, TabP);
|
||||
else LineTool::Value(SSP, U1, TabP2d);
|
||||
for (k = 1; k<= nbP; k++) {
|
||||
(TabP(k)).Coord(Poles(classe,i2),
|
||||
Poles(classe,i2+1),
|
||||
Poles(classe,i2+2));
|
||||
i2 += 3;
|
||||
}
|
||||
for (k = 1; k<= nbP2d; k++) {
|
||||
(TabP2d(k)).Coord(Poles(classe, i2), Poles(classe, i2+1));
|
||||
i2 += 2;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
if (myFirstC == AppParCurves_PassPoint) {
|
||||
bdeb = 2;
|
||||
// mise a jour du second membre:
|
||||
for (i = 1; i <= classe; i++) {
|
||||
Coeff = M(i, 1);
|
||||
for (k = 1; k <= nbcol; k++) {
|
||||
B(i, k) -= Poles(1, k)*Coeff;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
if (myLastC == AppParCurves_PassPoint) {
|
||||
bfin = cl1;
|
||||
for (i = 1; i <= classe; i++) {
|
||||
Coeff = M(i, classe);
|
||||
for (k = 1; k <= nbcol; k++) {
|
||||
B(i, k) -= Poles(classe, k)*Coeff;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
if (myFirstC == AppParCurves_TangencyPoint) {
|
||||
// On fixe le second pole::
|
||||
bdeb = 3;
|
||||
if (nbP != 0 && nbP2d != 0) LineTool::D1(SSP, U0, TabV, TabV2d);
|
||||
else if (nbP != 0) LineTool::D1(SSP, U0, TabV);
|
||||
else LineTool::D1(SSP, U0, TabV2d);
|
||||
i2 = 1;
|
||||
Coeff = (U1-U0)/Degre;
|
||||
for (k = 1; k<= nbP; k++) {
|
||||
i2plus1 = i2+1; i2plus2 = i2+2;
|
||||
Poles(2, i2) = Poles(1, i2) + TabV(k).X()*Coeff;
|
||||
Poles(2, i2plus1) = Poles(1, i2plus1) + TabV(k).Y()*Coeff;
|
||||
Poles(2, i2plus2) = Poles(1, i2plus2) + TabV(k).Z()*Coeff;
|
||||
i2 += 3;
|
||||
}
|
||||
for (k = 1; k<= nbP2d; k++) {
|
||||
i2plus1 = i2+1;
|
||||
Poles(2, i2) = Poles(1, i2) + TabV2d(k).X()*Coeff;
|
||||
Poles(2, i2plus1) = Poles(1, i2plus1) + TabV2d(k).Y()*Coeff;
|
||||
i2 += 2;
|
||||
}
|
||||
|
||||
|
||||
for (i = 1; i <= classe; i++) {
|
||||
Coeff = M(i, 1); Coeff2 = M(i, 2);
|
||||
for (k = 1; k <= nbcol; k++) {
|
||||
B(i, k) -= Poles(1, k)*Coeff+Poles(2, k)*Coeff2;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if (myLastC == AppParCurves_TangencyPoint) {
|
||||
bfin = classe-2;
|
||||
|
||||
if (nbP != 0 && nbP2d != 0) LineTool::D1(SSP, U1, TabV, TabV2d);
|
||||
else if (nbP != 0) LineTool::D1(SSP, U1, TabV);
|
||||
else LineTool::D1(SSP, U1, TabV2d);
|
||||
i2 = 1;
|
||||
Coeff = (U1-U0)/Degre;
|
||||
for (k = 1; k<= nbP; k++) {
|
||||
i2plus1 = i2+1; i2plus2 = i2+2;
|
||||
Poles(cl1,i2) = Poles(classe, i2) - TabV(k).X()*Coeff;
|
||||
Poles(cl1,i2plus1) = Poles(classe, i2plus1) - TabV(k).Y()*Coeff;
|
||||
Poles(cl1,i2plus2) = Poles(classe, i2plus2) - TabV(k).Z()*Coeff;
|
||||
i2 += 3;
|
||||
}
|
||||
for (k = 1; k<= nbP2d; k++) {
|
||||
i2plus1 = i2+1;
|
||||
Poles(cl1,i2) = Poles(classe, i2) - TabV2d(k).X()*Coeff;
|
||||
Poles(cl1,i2plus1) = Poles(classe, i2plus1) - TabV2d(k).Y()*Coeff;
|
||||
i2 += 2;
|
||||
}
|
||||
|
||||
for (i = 1; i <= classe; i++) {
|
||||
Coeff = M(i, classe); Coeff2 = M(i, cl1);
|
||||
for (k = 1; k <= nbcol; k++) {
|
||||
B(i, k) -= Poles(classe, k)*Coeff + Poles(cl1, k)*Coeff2;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if (bdeb <= bfin) {
|
||||
math_Matrix B2(bdeb, bfin, 1, B.UpperCol(), 0.0);
|
||||
|
||||
for (i = bdeb; i <= bfin; i++) {
|
||||
for (j = 1; j <= classe; j++) {
|
||||
Coeff = M(i, j);
|
||||
for (k = 1; k <= nbcol; k++) {
|
||||
B2(i, k) += B(j, k)*Coeff;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
// Resolution:
|
||||
// ===========
|
||||
math_Matrix IBP(bdeb, bfin, bdeb, bfin);
|
||||
|
||||
// dans IBPMatrix at IBTMatrix ne sont stockees que les resultats pour
|
||||
// une classe inferieure ou egale a 26 (pour l instant du moins.)
|
||||
|
||||
if (bdeb == 2 && bfin == classe-1 && classe <= 26) {
|
||||
IBPMatrix(classe, IBP);
|
||||
}
|
||||
else if (bdeb == 3 && bfin == classe-2 && classe <= 26) {
|
||||
IBTMatrix(classe, IBP);
|
||||
}
|
||||
else {
|
||||
math_Matrix MP(1, classe, bdeb, bfin);
|
||||
|
||||
for (i = 1; i <= classe; i++) {
|
||||
for (j = bdeb; j <= bfin; j++) {
|
||||
MP(i, j) = M(i, j);
|
||||
}
|
||||
}
|
||||
math_Matrix IBP1(bdeb, bfin, bdeb, bfin);
|
||||
IBP1 = MP.Transposed()*MP;
|
||||
IBP = IBP1.Inverse();
|
||||
}
|
||||
|
||||
|
||||
Done = Standard_True;
|
||||
for (i = bdeb; i <= bfin; i++) {
|
||||
for (j = bdeb; j <= bfin; j++) {
|
||||
IBPij = IBP(i, j);;
|
||||
for (k = 1; k<= nbcol; k++) {
|
||||
Poles(i, k) += IBPij * B2(j, k);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
//=======================================================================
|
||||
//function : NbBColumns
|
||||
//purpose :
|
||||
//=======================================================================
|
||||
|
||||
Standard_Integer AppCont_LeastSquare::NbBColumns(
|
||||
const MultiLine& SSP) const
|
||||
{
|
||||
Standard_Integer BCol;
|
||||
BCol = (LineTool::NbP3d(SSP))*3 +
|
||||
(LineTool::NbP2d(SSP))*2;
|
||||
return BCol;
|
||||
}
|
||||
|
||||
|
||||
//=======================================================================
|
||||
//function : Value
|
||||
//purpose :
|
||||
//=======================================================================
|
||||
|
||||
const AppParCurves_MultiCurve& AppCont_LeastSquare::Value()
|
||||
{
|
||||
|
||||
Standard_Integer i, j, j2;
|
||||
gp_Pnt Pt;
|
||||
gp_Pnt2d Pt2d;
|
||||
Standard_Integer ideb = 1, ifin = Degre+1;
|
||||
|
||||
// On met le resultat dans les curves correspondantes
|
||||
for (i = ideb; i <= ifin; i++) {
|
||||
j2 = 1;
|
||||
AppParCurves_MultiPoint MPole(nbP, nbP2d);
|
||||
for (j = 1; j <= nbP; j++) {
|
||||
Pt.SetCoord(Poles(i, j2), Poles(i, j2+1), Poles(i,j2+2));
|
||||
MPole.SetPoint(j, Pt);
|
||||
j2 += 3;
|
||||
}
|
||||
for (j = nbP+1;j <= nbP+nbP2d; j++) {
|
||||
Pt2d.SetCoord(Poles(i, j2), Poles(i, j2+1));
|
||||
MPole.SetPoint2d(j, Pt2d);
|
||||
j2 += 2;
|
||||
}
|
||||
SCU.SetValue(i, MPole);
|
||||
}
|
||||
return SCU;
|
||||
}
|
||||
|
||||
|
||||
|
||||
//=======================================================================
|
||||
//function : Error
|
||||
//purpose :
|
||||
//=======================================================================
|
||||
|
||||
void AppCont_LeastSquare::Error(Standard_Real& F,
|
||||
Standard_Real& MaxE3d,
|
||||
Standard_Real& MaxE2d) const
|
||||
{
|
||||
Standard_Integer i, j, k, c, i2, classe = Degre+1;
|
||||
// Standard_Real Coeff, val = 0.0, err3d = 0.0, err2d =0.0;
|
||||
Standard_Real Coeff, err3d = 0.0, err2d =0.0;
|
||||
Standard_Integer ncol = Points.UpperCol()-Points.LowerCol()+1;
|
||||
|
||||
math_Matrix MyPoints(1, Nbdiscret, 1, ncol);
|
||||
MyPoints = Points;
|
||||
|
||||
MaxE3d = MaxE2d = F = 0.0;
|
||||
|
||||
Standard_Real *tmppoles, *tmpbis;
|
||||
tmppoles = new Standard_Real[ncol];
|
||||
|
||||
for (c = 1; c <= classe; c++) {
|
||||
tmpbis = tmppoles;
|
||||
for (k = 1; k <= ncol; k++, tmpbis++) {
|
||||
*tmpbis = Poles(c, k);
|
||||
}
|
||||
for (i = 1; i <= Nbdiscret; i++) {
|
||||
Coeff = VB(c, i);
|
||||
tmpbis = tmppoles;
|
||||
for (j = 1; j <= ncol; j++, tmpbis++) {
|
||||
MyPoints(i, j) -= (*tmpbis)*Coeff; // Poles(c, j)*Coeff;
|
||||
}
|
||||
}
|
||||
}
|
||||
delete [] tmppoles;
|
||||
|
||||
Standard_Real e1, e2, e3;
|
||||
for (i = 1; i <= Nbdiscret; i++) {
|
||||
i2 = 1;
|
||||
for (j = 1; j<= nbP; j++) {
|
||||
e1 = MyPoints(i, i2);
|
||||
e2 = MyPoints(i, i2+1);
|
||||
e3 = MyPoints(i, i2+2);
|
||||
err3d = e1*e1+e2*e2+e3*e3;
|
||||
MaxE3d = Max(MaxE3d, err3d);
|
||||
F += err3d;
|
||||
i2 += 3;
|
||||
}
|
||||
for (j = 1; j<= nbP2d; j++) {
|
||||
e1 = MyPoints(i, i2);
|
||||
e2 = MyPoints(i, i2+1);
|
||||
err2d = e1*e1+e2*e2;
|
||||
MaxE2d = Max(MaxE2d, err2d);
|
||||
F += err2d;
|
||||
i2 += 2;
|
||||
}
|
||||
}
|
||||
|
||||
MaxE3d = Sqrt(MaxE3d);
|
||||
MaxE2d = Sqrt(MaxE2d);
|
||||
|
||||
}
|
||||
|
||||
|
||||
//=======================================================================
|
||||
//function : IsDone
|
||||
//purpose :
|
||||
//=======================================================================
|
||||
|
||||
Standard_Boolean AppCont_LeastSquare::IsDone() const
|
||||
{
|
||||
return Done;
|
||||
}
|
||||
106
src/AppCont/AppCont_SurfLeastSquare.cdl
Executable file
106
src/AppCont/AppCont_SurfLeastSquare.cdl
Executable file
@@ -0,0 +1,106 @@
|
||||
-- File: AppCont_SurfLeastSquare.cdl
|
||||
-- Created: Wed May 19 11:14:01 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@phobox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
|
||||
generic class SurfLeastSquare from AppCont(Surface as any;
|
||||
SurfTool as any)
|
||||
---as TheSurfTool(Surface)
|
||||
|
||||
---Purpose:
|
||||
|
||||
|
||||
uses Matrix from math,
|
||||
Vector from math,
|
||||
Constraint from AppParCurves,
|
||||
MultiCurve from AppParCurves,
|
||||
BezierSurface from Geom
|
||||
|
||||
|
||||
raises NotDone from StdFail,
|
||||
OutOfRange from Standard,
|
||||
DimensionError from Standard
|
||||
|
||||
|
||||
|
||||
is
|
||||
|
||||
Create(Surf: Surface; U0, U1, V0, V1: Real;
|
||||
FirstCons, LastUCons, LastVCons, LastCons: Constraint;
|
||||
DegU, DegV: Integer; NbPoints: Integer = 12)
|
||||
---Purpose: given a MultiLine, this algorithm computes the
|
||||
-- approximation of a continous Surface into a bezier
|
||||
-- Surface.
|
||||
-- The algorithm minimizes the volume between the
|
||||
-- Surface Surf and the Bezier Surface doing the
|
||||
-- aproximation.
|
||||
-- NbPoints * NbPoints are taken on the Surface Surf.
|
||||
-- The Constraints are affected to the following points:
|
||||
--
|
||||
-- U0, V0 |--|---|---|---|---|---|-----| U1, V0
|
||||
-- FirstCons | | | | | | | LastUCons
|
||||
-- |--|---|---|---|---|---|-----|
|
||||
-- |--|---|---|---|---|---|-----|
|
||||
-- | | | | | | | |
|
||||
-- U0, V1 |--|---|---|---|---|---|-----| U1, V1
|
||||
-- LastVCons LastCons
|
||||
|
||||
|
||||
returns SurfLeastSquare from AppCont
|
||||
raises DimensionError from Standard;
|
||||
|
||||
|
||||
|
||||
IsDone(me)
|
||||
---Purpose: returns True if all has been correctly done.
|
||||
|
||||
returns Boolean
|
||||
is static;
|
||||
|
||||
|
||||
Value(me: in out)
|
||||
---Purpose: returns the result of the approximation.
|
||||
-- An exception is raised if NotDone.
|
||||
---C++: return const &
|
||||
|
||||
returns BezierSurface from Geom
|
||||
raises NotDone from StdFail
|
||||
is static;
|
||||
|
||||
|
||||
|
||||
Error(me; F: in out Real; MaxE3d: in out Real)
|
||||
---Purpose: F is the sum of the square errors at each of the
|
||||
-- NbPoints*NbPoints and MaxE3d is the maximum value
|
||||
-- of these errors.
|
||||
-- An exception is raised if NotDone.
|
||||
|
||||
raises NotDone from StdFail
|
||||
is static;
|
||||
|
||||
|
||||
|
||||
fields
|
||||
|
||||
Done: Boolean;
|
||||
SCU: BezierSurface from Geom;
|
||||
DegreU: Integer;
|
||||
DegreV: Integer;
|
||||
Nbdiscret: Integer;
|
||||
nbP: Integer;
|
||||
PointsX: Matrix;
|
||||
PointsY: Matrix;
|
||||
PointsZ: Matrix;
|
||||
PolesX: Vector;
|
||||
PolesY: Vector;
|
||||
PolesZ: Vector;
|
||||
myUParam: Vector;
|
||||
myVParam: Vector;
|
||||
VBU: Matrix;
|
||||
VBV: Matrix;
|
||||
|
||||
end SurfLeastSquare from AppCont;
|
||||
|
||||
480
src/AppCont/AppCont_SurfLeastSquare.gxx
Executable file
480
src/AppCont/AppCont_SurfLeastSquare.gxx
Executable file
@@ -0,0 +1,480 @@
|
||||
// File AppCont_SurfLeastSquare.gxx
|
||||
// Lpa, le 19/05/93
|
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#ifndef DEB
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#define No_Standard_OutOfRange
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#define No_Standard_RangeError
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#endif
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|
||||
#include <math_GaussPoints.hxx>
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#include <math_Vector.hxx>
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#include <math_Matrix.hxx>
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#include <gp_Pnt.hxx>
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#include <gp_Vec.hxx>
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#include <AppParCurves_MultiPoint.hxx>
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#include <AppCont_ContMatrices.hxx>
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#include <Standard_ConstructionError.hxx>
|
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#include <Standard_NotImplemented.hxx>
|
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#include <StdFail_NotDone.hxx>
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#include <PLib.hxx>
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static void InvMSurfMatrix(const Standard_Integer classeU,
|
||||
const Standard_Integer classeV,
|
||||
math_Matrix& InvM)
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{
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||||
math_Matrix Inv1(1, classeU);
|
||||
InvMMatrix(classeU, Inv1);
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math_Matrix Inv2(1, classeV);
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InvMMatrix(classeV, Inv2);
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// math_Matrix InvM(1, classeU*classeV, 1, classeU*classeV);
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Standard_Integer i, j, k, l;
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for (i = 1; i <= classeU; i++) {
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for (j= 1; j <= classeU; j++) {
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for (k =1; k<= classeV; k++) {
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for (l = 1; l<= classeV; l++) {
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InvM(k+(i-1)*classeV,l+(j-1)*classeV) = Inv1(i,j)*Inv2(k,l);
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}
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||||
}
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||||
}
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}
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||||
}
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||||
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||||
|
||||
static void MSurfMatrix(const Standard_Integer classeU,
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||||
const Standard_Integer classeV,
|
||||
math_Matrix& M)
|
||||
{
|
||||
math_Matrix M1(1, classeU, 1, classeU);
|
||||
MMatrix(classeU, M1);
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||||
math_Matrix M2(1, classeV, 1, classeV);
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MMatrix(classeV, M2);
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||||
// math_Matrix M(1, classeU*classeV, 1, classeU*classeV);
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||||
Standard_Integer i, j, k, l;
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||||
|
||||
for (i = 1; i <= classeU; i++) {
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||||
for (j= 1; j <= classeU; j++) {
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||||
for (k =1; k<= classeV; k++) {
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||||
for (l = 1; l<= classeV; l++) {
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||||
M(k+(i-1)*classeV,l+(j-1)*classeV) = M1(i,j)*M2(k,l);
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||||
}
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||||
}
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||||
}
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||||
}
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||||
}
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||||
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||||
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||||
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||||
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||||
|
||||
|
||||
AppCont_SurfLeastSquare::
|
||||
AppCont_SurfLeastSquare(const Surface& Surf,
|
||||
const Standard_Real U0,
|
||||
const Standard_Real U1,
|
||||
const Standard_Real V0,
|
||||
const Standard_Real V1,
|
||||
const AppParCurves_Constraint FirstCons,
|
||||
const AppParCurves_Constraint LastUCons,
|
||||
const AppParCurves_Constraint LastVCons,
|
||||
const AppParCurves_Constraint LastCons,
|
||||
const Standard_Integer DegU,
|
||||
const Standard_Integer DegV,
|
||||
const Standard_Integer NbPoints):
|
||||
PointsX(1, NbPoints, 1 , NbPoints),
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||||
PointsY(1, NbPoints, 1 , NbPoints),
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||||
PointsZ(1, NbPoints, 1 , NbPoints),
|
||||
PolesX(1, (DegU+1)*(DegV+1), 0.0),
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||||
PolesY(1, (DegU+1)*(DegV+1), 0.0),
|
||||
PolesZ(1, (DegU+1)*(DegV+1), 0.0),
|
||||
myUParam(1, NbPoints),
|
||||
myVParam(1, NbPoints),
|
||||
VBU(1, DegU+1, 1, NbPoints),
|
||||
VBV(1, DegV+1, 1, NbPoints)
|
||||
{
|
||||
DegreU = DegU;
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||||
DegreV = DegV;
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Nbdiscret = NbPoints;
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||||
Standard_Integer c, c1, c2, classeU = DegU+1, classeV = DegV+1;
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Standard_Integer cla = classeU*classeV;
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||||
Standard_Integer bdeb = 1, bfin = cla, clav = cla-classeV+1;
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Standard_Integer bint = 0, bint1 = 0, bint2 = 0, bintfin = 0;
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||||
Standard_Integer bint3 = 0, bint4 = 0, bint5 = 0, bint6 = 0;
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||||
Standard_Integer bint7 = 0, bint8 = 0;
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||||
math_Vector GaussP(1, NbPoints), GaussW(1, NbPoints);
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||||
Standard_Integer i, j, FirstP = 1, LastP = NbPoints;
|
||||
Standard_Real U, dU, V, dV, ISS, Coeff, Coeff2;
|
||||
Done = Standard_False;
|
||||
gp_Pnt Pt;
|
||||
gp_Vec VU, VV;
|
||||
math_Vector BX(1, cla, 0.0),
|
||||
BY(1, cla, 0.0),
|
||||
BZ(1, cla, 0.0);
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||||
|
||||
GaussP = GPoints(NbPoints);
|
||||
GaussW = GWeights(NbPoints);
|
||||
math_Vector TheWeights(1, NbPoints), VBParam(1, NbPoints);
|
||||
|
||||
dU = 0.5*(U1-U0);
|
||||
dV = 0.5*(V1-V0);
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||||
|
||||
// calcul et mise en ordre des parametres et des poids:
|
||||
for (i = FirstP; i <= LastP; i++) {
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||||
U = 0.5*(U1+U0) + dU*GaussP(i);
|
||||
V = 0.5*(V1+V0) + dV*GaussP(i);
|
||||
if (i <= (NbPoints+1)/2) {
|
||||
myUParam(LastP-i+1) = U;
|
||||
myVParam(LastP-i+1) = V;
|
||||
VBParam(LastP-i+1) = 0.5*(1 + GaussP(i));
|
||||
TheWeights(LastP-i+1) = 0.5*GaussW(i);
|
||||
}
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||||
else {
|
||||
myUParam(i-(NbPoints+1)/2) = U;
|
||||
myVParam(i-(NbPoints+1)/2) = V;
|
||||
VBParam(i-(NbPoints+1)/2) = 0.5*(1 + GaussP(i));
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||||
TheWeights(i-(NbPoints+1)/2) = 0.5*GaussW(i);
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||||
}
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||||
}
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||||
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||||
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||||
|
||||
// Stockage des Points de Gauss:
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||||
for (i = FirstP; i <= LastP; i++) {
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||||
U = myUParam(i);
|
||||
for (j = FirstP; j <= LastP; j++) {
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||||
V = myVParam(j);
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||||
SurfTool::D0(Surf, U, V, Pt);
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||||
Pt.Coord(PointsX(i, j), PointsY(i, j), PointsZ(i, j));
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||||
}
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||||
}
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||||
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||||
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||||
// Calcul des VB ( fonctions de Bernstein):
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||||
for (i = 1; i <= classeU; i++) {
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||||
for (j = 1; j <= NbPoints; j++) {
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||||
VBU(i,j) = PLib::Binomial(classeU-1,i-1)*
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||||
Pow((1-VBParam(j)),classeU-i)*Pow(VBParam(j),i-1);
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||||
}
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||||
}
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||||
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||||
for (i = 1; i <= classeV; i++) {
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||||
for (j = 1; j <= NbPoints; j++) {
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||||
VBV(i,j) = PLib::Binomial(classeV-1,i-1)*
|
||||
Pow((1-VBParam(j)),classeV-i)*Pow(VBParam(j),i-1);
|
||||
}
|
||||
}
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||||
|
||||
// Traitement du second membre:
|
||||
c = 0;
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||||
for (c1 = 1; c1 <= classeU; c1++) {
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||||
for (c2 = 1; c2 <= classeV; c2++) {
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||||
c++;
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||||
for (i = 1; i <= NbPoints; i++) {
|
||||
for (j = 1; j <= NbPoints; j++) {
|
||||
Coeff = TheWeights(i)*TheWeights(j)*VBU(c1, i)*VBV(c2, j);
|
||||
BX(c) += PointsX(i, j)*Coeff;
|
||||
BY(c) += PointsY(i, j)*Coeff;
|
||||
BZ(c) += PointsZ(i, j)*Coeff;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
math_Matrix InvM(1, classeU*classeV, 1, classeU*classeV);
|
||||
InvMSurfMatrix(classeU, classeV, InvM);
|
||||
TColgp_Array2OfPnt Poles(1, classeU, 1, classeV);
|
||||
|
||||
// Calcul des poles:
|
||||
// =================
|
||||
if (FirstCons == AppParCurves_NoConstraint &&
|
||||
LastCons == AppParCurves_NoConstraint &&
|
||||
LastUCons == AppParCurves_NoConstraint &&
|
||||
LastVCons == AppParCurves_NoConstraint) {
|
||||
|
||||
for (i = 1; i <= cla; i++) {
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||||
for (j = 1; j <= cla; j++) {
|
||||
ISS = InvM(i, j);
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||||
PolesX(i) += ISS * BX(j);
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||||
PolesY(i) += ISS * BY(j);
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||||
PolesZ(i) += ISS * BZ(j);
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||||
}
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||||
}
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||||
}
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||||
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||||
else {
|
||||
// Traitement du second membre:
|
||||
math_Matrix M(1, classeU*classeV, 1, classeU*classeV);
|
||||
MSurfMatrix(classeU, classeV, M);
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||||
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||||
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||||
if (FirstCons == AppParCurves_PassPoint ||
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||||
FirstCons == AppParCurves_TangencyPoint) {
|
||||
bdeb = 2;
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||||
SurfTool::D0(Surf, U0, V0, Pt);
|
||||
Pt.Coord(PolesX(1), PolesY(1), PolesZ(1));
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||||
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||||
for (c = 1; c <= cla; c++) {
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||||
Coeff = M(c, 1);
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||||
BX(c) = BX(c) - PolesX(1)*Coeff;
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||||
BY(c) = BY(c) - PolesY(1)*Coeff;
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||||
BZ(c) = BZ(c) - PolesZ(1)*Coeff;
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||||
}
|
||||
}
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||||
|
||||
if (LastCons == AppParCurves_PassPoint ||
|
||||
LastCons == AppParCurves_TangencyPoint) {
|
||||
bfin = cla-1;
|
||||
SurfTool::D0(Surf, U1, V1, Pt);
|
||||
Pt.Coord(PolesX(cla), PolesY(cla), PolesZ(cla));
|
||||
|
||||
for (c = 1; c <= cla; c++) {
|
||||
Coeff = M(c, cla);
|
||||
BX(c) = BX(c) - PolesX(cla)*Coeff;
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||||
BY(c) = BY(c) - PolesY(cla)*Coeff;
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||||
BZ(c) = BZ(c) - PolesZ(cla)*Coeff;
|
||||
}
|
||||
}
|
||||
|
||||
if (LastUCons == AppParCurves_PassPoint ||
|
||||
LastUCons == AppParCurves_TangencyPoint) {
|
||||
bint++; bint1 = clav;
|
||||
SurfTool::D0(Surf, U1, V0, Pt);
|
||||
Pt.Coord(PolesX(clav), PolesY(clav), PolesZ(clav));
|
||||
|
||||
for (c = 1; c <= cla; c++) {
|
||||
Coeff = M(c, clav);
|
||||
BX(c) = BX(c) - PolesX(clav)*Coeff;
|
||||
BY(c) = BY(c) - PolesY(clav)*Coeff;
|
||||
BZ(c) = BZ(c) - PolesZ(clav)*Coeff;
|
||||
}
|
||||
}
|
||||
|
||||
if (LastVCons == AppParCurves_PassPoint ||
|
||||
LastVCons == AppParCurves_TangencyPoint) {
|
||||
bint++; bint2 = classeV;
|
||||
SurfTool::D0(Surf, U0, V1, Pt);
|
||||
Pt.Coord(PolesX(classeV), PolesY(classeV), PolesZ(classeV));
|
||||
|
||||
for (c = 1; c <= cla; c++) {
|
||||
Coeff = M(c, classeV);
|
||||
BX(c) = BX(c) - PolesX(classeV)*Coeff;
|
||||
BY(c) = BY(c) - PolesY(classeV)*Coeff;
|
||||
BZ(c) = BZ(c) - PolesZ(classeV)*Coeff;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
if (FirstCons == AppParCurves_TangencyPoint) {
|
||||
SurfTool::D1(Surf, U0, V0, Pt, VU, VV);
|
||||
bdeb = 3; bint++; bint3 = classeV+1;
|
||||
|
||||
PolesX(bint3) = PolesX(1) + VU.X()/DegU*(U1-U0);
|
||||
PolesY(bint3) = PolesY(1) + VU.Y()/DegU*(U1-U0);
|
||||
PolesZ(bint3) = PolesZ(1) + VU.Z()/DegU*(U1-U0);
|
||||
|
||||
PolesX(2) = PolesX(1) + VV.X()/DegV*(V1-V0);
|
||||
PolesY(2) = PolesY(1) + VV.Y()/DegV*(V1-V0);
|
||||
PolesZ(2) = PolesZ(1) + VV.Z()/DegV*(V1-V0);
|
||||
|
||||
for (c = 1; c <= cla; c++) {
|
||||
Coeff = M(c, 2); Coeff2 = M(c, bint3);
|
||||
BX(c) = BX(c) - PolesX(2)*Coeff - PolesX(bint3)*Coeff2;
|
||||
BY(c) = BY(c) - PolesY(2)*Coeff - PolesY(bint3)*Coeff2;
|
||||
BZ(c) = BZ(c) - PolesZ(2)*Coeff - PolesZ(bint3)*Coeff2;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
if (LastCons == AppParCurves_TangencyPoint) {
|
||||
SurfTool::D1(Surf, U1, V1, Pt, VU, VV);
|
||||
bfin = cla-2; bint++; bint4 = cla-classeV;
|
||||
|
||||
PolesX(bint4) = PolesX(cla) - VU.X()/DegU*(U1-U0);
|
||||
PolesY(bint4) = PolesY(cla) - VU.Y()/DegU*(U1-U0);
|
||||
PolesZ(bint4) = PolesZ(cla) - VU.Z()/DegU*(U1-U0);
|
||||
|
||||
PolesX(cla-1) = PolesX(cla) - VV.X()/DegV*(V1-V0);
|
||||
PolesY(cla-1) = PolesY(cla) - VV.Y()/DegV*(V1-V0);
|
||||
PolesZ(cla-1) = PolesZ(cla) - VV.Z()/DegV*(V1-V0);
|
||||
|
||||
for (c = 1; c <= cla; c++) {
|
||||
Coeff = M(c, cla-1); Coeff2 = M(c, bint4);
|
||||
BX(c) = BX(c) - PolesX(cla-1)*Coeff - PolesX(bint4)*Coeff2;
|
||||
BY(c) = BY(c) - PolesY(cla-1)*Coeff - PolesY(bint4)*Coeff2;
|
||||
BZ(c) = BZ(c) - PolesZ(cla-1)*Coeff - PolesZ(bint4)*Coeff2;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
if (LastVCons == AppParCurves_TangencyPoint) {
|
||||
SurfTool::D1(Surf, U0, V1, Pt, VU, VV);
|
||||
bint += 2; bint5 = classeV-1; bint6 = 2*classeV;
|
||||
|
||||
PolesX(bint5) = PolesX(classeV) - VV.X()/DegV*(V1-V0);
|
||||
PolesY(bint5) = PolesY(classeV) - VV.Y()/DegV*(V1-V0);
|
||||
PolesZ(bint5) = PolesZ(classeV) - VV.Z()/DegV*(V1-V0);
|
||||
|
||||
PolesX(bint6) = PolesX(classeV) + VU.X()/DegU*(U1-U0);
|
||||
PolesY(bint6) = PolesY(classeV) + VU.Y()/DegU*(U1-U0);
|
||||
PolesZ(bint6) = PolesZ(classeV) + VU.Z()/DegU*(U1-U0);
|
||||
|
||||
for (c = 1; c <= cla; c++) {
|
||||
Coeff = M(c, bint5); Coeff2 = M(c, bint6);
|
||||
BX(c) = BX(c) - PolesX(bint5)*Coeff - PolesX(bint6)*Coeff2;
|
||||
BY(c) = BY(c) - PolesY(bint5)*Coeff - PolesY(bint6)*Coeff2;
|
||||
BZ(c) = BZ(c) - PolesZ(bint5)*Coeff - PolesZ(bint6)*Coeff2;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
if (LastUCons == AppParCurves_TangencyPoint) {
|
||||
SurfTool::D1(Surf, U1, V0, Pt, VU, VV);
|
||||
bint += 2; bint7 = clav-classeV; bint8 = clav+1;
|
||||
|
||||
PolesX(bint8) = PolesX(clav) + VV.X()/DegV*(V1-V0);
|
||||
PolesY(bint8) = PolesY(clav) + VV.Y()/DegV*(V1-V0);
|
||||
PolesZ(bint8) = PolesZ(clav) + VV.Z()/DegV*(V1-V0);
|
||||
|
||||
PolesX(bint7) = PolesX(clav) - VU.X()/DegU*(U1-U0);
|
||||
PolesY(bint7) = PolesY(clav) - VU.Y()/DegU*(U1-U0);
|
||||
PolesZ(bint7) = PolesZ(clav) - VU.Z()/DegU*(U1-U0);
|
||||
|
||||
for (c = 1; c <= cla; c++) {
|
||||
Coeff = M(c, bint8); Coeff2 = M(c, bint7);
|
||||
BX(c) = BX(c)- PolesX(bint8)*Coeff - PolesX(bint7)*Coeff2;
|
||||
BY(c) = BY(c)- PolesY(bint8)*Coeff - PolesY(bint7)*Coeff2;
|
||||
BZ(c) = BZ(c)- PolesZ(bint8)*Coeff - PolesZ(bint7)*Coeff2;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
math_Vector B2X(bdeb, bfin-bint, 0.0);
|
||||
math_Vector B2Y(bdeb, bfin-bint, 0.0);
|
||||
math_Vector B2Z(bdeb, bfin-bint, 0.0);
|
||||
|
||||
Standard_Integer i2 = bdeb;
|
||||
for (i = bdeb; i <= bfin; i++) {
|
||||
if (i != bint1 && i != bint2 && i != bint3 && i != bint4 &&
|
||||
i != bint5 && i != bint6 && i != bint7 && i != bint8) {
|
||||
for (j = 1; j <= cla; j++) {
|
||||
Coeff = M(i, j);
|
||||
B2X(i2) = B2X(i2) + BX(j)*Coeff;
|
||||
B2Y(i2) = B2Y(i2) + BY(j)*Coeff;
|
||||
B2Z(i2) = B2Z(i2) + BZ(j)*Coeff;
|
||||
}
|
||||
i2 ++;
|
||||
}
|
||||
}
|
||||
|
||||
math_Matrix MP(1, cla, bdeb, bfin-bint);
|
||||
math_Matrix IBP(bdeb, bfin-bint, bdeb, bfin-bint);
|
||||
|
||||
Standard_Integer j2 = bdeb;
|
||||
for (i = 1; i <= cla; i++) {
|
||||
j2 = bdeb;
|
||||
for (j = bdeb; j <= bfin; j++) {
|
||||
if (j != bint1 && j != bint2 && j != bint3 && j != bint4 &&
|
||||
j != bint5 && j != bint6 && j != bint7 && j != bint8) {
|
||||
MP(i, j2) = M(i, j);
|
||||
j2++;
|
||||
}
|
||||
}
|
||||
}
|
||||
math_Matrix IBP1 = MP.Transposed()*MP;
|
||||
IBP = IBP1.Inverse();
|
||||
|
||||
i2 = bdeb;
|
||||
for (i = bdeb; i <= bfin; i++) {
|
||||
if (i != bint1 && i != bint2 && i != bint3 && i != bint4 &&
|
||||
i != bint5 && i != bint6 && i != bint7 && i != bint8) {
|
||||
for (j = bdeb; j <= bfin-bint; j++) {
|
||||
ISS = IBP(i2, j);
|
||||
PolesX(i) += ISS * B2X(j);
|
||||
PolesY(i) += ISS * B2Y(j);
|
||||
PolesZ(i) += ISS * B2Z(j);
|
||||
}
|
||||
i2++;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
for (j = 1; j <= classeV; j++) {
|
||||
for (i = 1; i <= classeU; i++) {
|
||||
Poles(i, j).SetCoord(PolesX(j+ (i-1)*classeV),
|
||||
PolesY(j+ (i-1)*classeV),
|
||||
PolesZ(j+ (i-1)*classeV));
|
||||
}
|
||||
}
|
||||
|
||||
SCU = new Geom_BezierSurface(Poles);
|
||||
Done = Standard_True;
|
||||
}
|
||||
|
||||
|
||||
|
||||
Standard_Boolean AppCont_SurfLeastSquare::IsDone() const
|
||||
{
|
||||
return Done;
|
||||
}
|
||||
|
||||
|
||||
const Handle(Geom_BezierSurface)& AppCont_SurfLeastSquare::Value()
|
||||
{
|
||||
return SCU;
|
||||
}
|
||||
|
||||
|
||||
|
||||
void AppCont_SurfLeastSquare::Error(Standard_Real& F,
|
||||
Standard_Real& MaxE3d) const
|
||||
{
|
||||
|
||||
Standard_Integer i, j, c, cu, cv, classeU = DegreU+1, classeV = DegreV+1;
|
||||
Standard_Real Coeff, err3d = 0.0;
|
||||
math_Matrix MyPointsX(1, Nbdiscret, 1, Nbdiscret);
|
||||
math_Matrix MyPointsY(1, Nbdiscret, 1, Nbdiscret);
|
||||
math_Matrix MyPointsZ(1, Nbdiscret, 1, Nbdiscret);
|
||||
MyPointsX = PointsX;
|
||||
MyPointsY = PointsY;
|
||||
MyPointsZ = PointsZ;
|
||||
MaxE3d = 0.0;
|
||||
F = 0.0;
|
||||
c = 0;
|
||||
|
||||
for (cu = 1; cu <= classeU; cu++) {
|
||||
for (cv = 1; cv <= classeV; cv++) {
|
||||
c++;
|
||||
for (i = 1; i <= Nbdiscret; i++) {
|
||||
for (j = 1; j <= Nbdiscret; j++) {
|
||||
Coeff = VBU(cu, i)*VBV(cv, j);
|
||||
MyPointsX(i, j) = MyPointsX(i, j) - PolesX(c)*Coeff;
|
||||
MyPointsY(i, j) = MyPointsY(i, j) - PolesY(c)*Coeff;
|
||||
MyPointsZ(i, j) = MyPointsZ(i, j) - PolesZ(c)*Coeff;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
for (i = 1; i <= Nbdiscret; i++) {
|
||||
for (j = 1; j <= Nbdiscret; j++) {
|
||||
err3d = MyPointsX(i, j) * MyPointsX(i, j) +
|
||||
MyPointsY(i, j) * MyPointsY(i, j) +
|
||||
MyPointsZ(i, j) * MyPointsZ(i, j);
|
||||
MaxE3d = Max(MaxE3d, err3d);
|
||||
F += err3d;
|
||||
}
|
||||
}
|
||||
|
||||
MaxE3d = Sqrt(MaxE3d);
|
||||
|
||||
}
|
||||
76
src/AppCont/AppCont_TheLineTool.cdl
Executable file
76
src/AppCont/AppCont_TheLineTool.cdl
Executable file
@@ -0,0 +1,76 @@
|
||||
-- File: AppCont_TheLineTool.cdl
|
||||
-- Created: Thu Apr 22 12:02:11 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@phobox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
deferred generic class TheLineTool from AppCont(MLine as any)
|
||||
|
||||
---Purpose: Template for desribing a continuous MultiLine.
|
||||
-- The Vectors returned by the methods Tangency are
|
||||
-- the derivative values.
|
||||
|
||||
uses
|
||||
Pnt from gp,
|
||||
Pnt2d from gp,
|
||||
Vec from gp,
|
||||
Vec2d from gp,
|
||||
Array1OfPnt from TColgp,
|
||||
Array1OfPnt2d from TColgp,
|
||||
Array1OfVec from TColgp,
|
||||
Array1OfVec2d from TColgp
|
||||
|
||||
is
|
||||
|
||||
FirstParameter(myclass; ML: MLine) returns Real;
|
||||
---Purpose: returns the first parameter of the Line.
|
||||
|
||||
LastParameter(myclass; ML: MLine) returns Real;
|
||||
---Purpose: returns the last parameter of the Line.
|
||||
|
||||
NbP2d(myclass; ML: MLine) returns Integer;
|
||||
---Purpose: Returns the number of 2d points of a MLine.
|
||||
|
||||
|
||||
NbP3d(myclass; ML: MLine) returns Integer;
|
||||
---Purpose: Returns the number of 3d points of a MLine.
|
||||
|
||||
|
||||
Value(myclass; ML: MLine; U: Real; tabPt: out Array1OfPnt);
|
||||
---Purpose: returns the 3d points of the multipoint <MPointIndex>
|
||||
-- when only 3d points exist.
|
||||
|
||||
|
||||
Value(myclass; ML: MLine; U: Real; tabPt2d: out Array1OfPnt2d);
|
||||
---Purpose: returns the 2d points of the multipoint <MPointIndex>
|
||||
-- when only 2d points exist.
|
||||
|
||||
|
||||
Value(myclass; ML: MLine; U: Real;
|
||||
tabPt: out Array1OfPnt; tabPt2d: out Array1OfPnt2d);
|
||||
---Purpose: returns the 3d and 2d points of the multipoint
|
||||
-- <MPointIndex>.
|
||||
|
||||
|
||||
D1(myclass; ML: MLine; U: Real; tabV: out Array1OfVec)
|
||||
returns Boolean;
|
||||
---Purpose: returns the 3d derivative values of the multipoint
|
||||
-- <MPointIndex> when only 3d points exist.
|
||||
|
||||
|
||||
D1(myclass; ML: MLine; U: Real; tabV2d: out Array1OfVec2d)
|
||||
returns Boolean;
|
||||
---Purpose: returns the 2d derivative values of the multipoint
|
||||
-- <MPointIndex> only when 2d points exist.
|
||||
|
||||
|
||||
D1(myclass; ML: MLine; U: Real;
|
||||
tabV: out Array1OfVec; tabV2d: out Array1OfVec2d)
|
||||
returns Boolean;
|
||||
---Purpose: returns the 3d and 2d derivative values of the multipoint
|
||||
-- <MPointIndex>.
|
||||
|
||||
|
||||
end TheLineTool;
|
||||
|
||||
0
src/AppCont/AppCont_TheLineTool.gxx
Executable file
0
src/AppCont/AppCont_TheLineTool.gxx
Executable file
27
src/AppCont/AppCont_TheSurfTool.cdl
Executable file
27
src/AppCont/AppCont_TheSurfTool.cdl
Executable file
@@ -0,0 +1,27 @@
|
||||
-- File: AppCont_TheSurfTool.cdl
|
||||
-- Created: Wed Apr 28 18:12:58 1993
|
||||
-- Author: Laurent PAINNOT
|
||||
-- <lpa@phobox>
|
||||
---Copyright: Matra Datavision 1993
|
||||
|
||||
|
||||
deferred generic class TheSurfTool from AppCont(Surf as any)
|
||||
|
||||
---Purpose: Template for describing a continuous surface.
|
||||
|
||||
|
||||
uses Pnt from gp,
|
||||
Vec from gp
|
||||
|
||||
is
|
||||
|
||||
|
||||
D0(myclass; S: Surf; U, V: Real; Pt: out Pnt);
|
||||
---Purpose: returns the point of the surface at <U, V>.
|
||||
|
||||
|
||||
D1(myclass; S: Surf; U, V: Real; Pt: out Pnt; V1U, V1V: out Vec);
|
||||
---Purpose: returns the derivative and the point values of the surface
|
||||
-- at the parameters <U, V> .
|
||||
|
||||
end TheSurfTool;
|
||||
0
src/AppCont/AppCont_TheSurfTool.gxx
Executable file
0
src/AppCont/AppCont_TheSurfTool.gxx
Executable file
6
src/AppCont/FILES
Executable file
6
src/AppCont/FILES
Executable file
@@ -0,0 +1,6 @@
|
||||
AppCont_ContMatrices.hxx
|
||||
AppCont_ContMatrices.cxx
|
||||
AppCont_ContMatrices_1.cxx
|
||||
AppCont_ContMatrices_2.cxx
|
||||
AppCont_ContMatrices_3.cxx
|
||||
AppCont_ContMatrices_4.cxx
|
||||
Reference in New Issue
Block a user