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0030621: Implementation of building U-periodical surfaces.

Browse Source 
draw_test_harness.md - description of new options in Draw commands

AppDef_BSplineCompute.hxx, BRepApprox_TheComputeLineOfApprox.hxx, GeomInt_TheComputeLineOfWLApprox.hxx, Approx_BSplComputeLine.gxx - implementation of method SetPeriodic(...) and implementation periodic boundary conditions for multiline in order to get periodic multicurve.

GeomAPI_PointsToBSplineSurface.hxx, GeomAPI_PointsToBSplineSurface.cxx - adding new parameter for methods Init(...) and Interpolate(...), implementation of building periodic tangents for first and last AppDef_MultiPointConstraint of multiline for U direction of surface.

GeometryTest_APICommands.cxx - implementation of new functionality in Draw command surfapp and surfint

GeomFill_NSections.cxx
Fixing problem with bugs modalg_3 bug606_2
This commit is contained in:
ifv 2019-03-29 15:20:27 +03:00 committed by bugmaster
parent 293211aee0
commit d1775ee992
13 changed files with 974 additions and 503 deletions
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18
dox/user_guides/draw_test_harness/draw_test_harness.md
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@ -1,4 +1,4 @@
Draw Test Harness {#occt_user_guides__test_harness} Draw Test Harness {#occt_user_guides__test_harness}
=============================== ===============================
@tableofcontents @tableofcontents
@ -5593,7 +5593,8 @@ Draw provides command to create curves and surfaces by approximation.
* **2dapprox** fits a curve through 2d points; * **2dapprox** fits a curve through 2d points;
* **appro** fits a curve through 3d points; * **appro** fits a curve through 3d points;
* **surfapp** and **grilapp** fit a surface through 3d points; * **surfapp** and **grilapp** fit a surface through 3d points by approximation;
* **surfint** fit a surface through 3d points by interpolation;
* **2dinterpolate** interpolates a curve. * **2dinterpolate** interpolates a curve.
@subsubsection occt_draw_6_8_1 appro, dapprox @subsubsection occt_draw_6_8_1 appro, dapprox
@ -5614,17 +5615,28 @@ Let us pick points and they will be fitted
2dapprox c 10 2dapprox c 10
~~~~~ ~~~~~
@subsubsection occt_draw_6_8_2 surfapp, grilapp @subsubsection occt_draw_6_8_2 surfapp, grilapp, surfint
Syntax: Syntax:
~~~~~ ~~~~~
surfapp name nbupoints nbvpoints x y z .... surfapp name nbupoints nbvpoints x y z ....
or
surfapp name nbupoints nbvpoints surf [periodic_flag = 0]
grilapp name nbupoints nbvpoints xo dx yo dy z11 z12 ... grilapp name nbupoints nbvpoints xo dx yo dy z11 z12 ...
surfint name surf nbupoints nbvpoints [periodic_flag = 0]
~~~~~ ~~~~~
* **surfapp** fits a surface through an array of u and v points, nbupoints*nbvpoints. * **surfapp** fits a surface through an array of u and v points, nbupoints*nbvpoints.
* **grilapp** has the same function, but the x,y coordinates of the points are on a grid starting at x0,y0 with steps dx,dy. * **grilapp** has the same function, but the x,y coordinates of the points are on a grid starting at x0,y0 with steps dx,dy.
* **surfapp** can take array of points from other input surface, if alternative syntax
**surfapp** name nbupoints nbvpoints surf [periodic_flag = 0]
is used.
Both command use for fitting approximation algorithm.
**surfint** uses interpolation algorithm and can take array of point only from other input surface.
Optional parameter **periodic_flag** allows to get correct periodical surfaces in U direction.
U direction of result surface corresponds colums of initial array of points.
If **periodic_flag** = 1, algorithm uses first row of array as last row and builds periodical surface.
**Example:** **Example:**
~~~~~ ~~~~~

7
src/AppDef/AppDef_BSplineCompute.hxx
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@ -117,6 +117,12 @@ public:
//! changes the first and the last constraint points. //! changes the first and the last constraint points.
Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC); Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC);
//! Sets periodic flag.
//! If thePeriodic = Standard_True, algorith tries to build periodic
//! multicurve using corresponding C1 boundary condition for first and last multipoints.
//! Multiline must be closed.
Standard_EXPORT void SetPeriodic(const Standard_Boolean thePeriodic);
//! returns False if at a moment of the approximation, //! returns False if at a moment of the approximation,
//! the status NoApproximation has been sent by the user //! the status NoApproximation has been sent by the user
//! when more points were needed. //! when more points were needed.
@ -199,6 +205,7 @@ private:
Standard_Integer mycont; Standard_Integer mycont;
Standard_Real mylambda1; Standard_Real mylambda1;
Standard_Real mylambda2; Standard_Real mylambda2;
Standard_Boolean myPeriodic;
}; };

317
src/Approx/Approx_BSplComputeLine.gxx
View File

@ -60,7 +60,7 @@ static void DUMP(const MultiLine& Line)
nbP3d = LineTool::NbP3d(Line); nbP3d = LineTool::NbP3d(Line);
nbP2d = LineTool::NbP2d(Line); nbP2d = LineTool::NbP2d(Line);
Standard_Integer mynbP3d=nbP3d, mynbP2d=nbP2d; Standard_Integer mynbP3d = nbP3d, mynbP2d = nbP2d;
if (nbP3d == 0) mynbP3d = 1; if (nbP3d == 0) mynbP3d = 1;
if (nbP2d == 0) mynbP2d = 1; if (nbP2d == 0) mynbP2d = 1;
@ -86,9 +86,9 @@ static void DUMP(const MultiLine& Line)
for (j = 1; j <= nbP3d; j++) { for (j = 1; j <= nbP3d; j++) {
sprintf(solname, "%s%i%s_%i", "p", j, "3d", i); sprintf(solname, "%s%i%s_%i", "p", j, "3d", i);
char* Temp = solname ; char* Temp = solname;
DrawTrSurf::Set(Temp, tabP(j)); DrawTrSurf::Set(Temp, tabP(j));
// DrawTrSurf::Set(solname, tabP(j)); // DrawTrSurf::Set(solname, tabP(j));
if (i == firstP || i == lastP) { if (i == firstP || i == lastP) {
sprintf(mytext, "%s%i", " ", i); sprintf(mytext, "%s%i", " ", i);
T3D = new Draw_Text3D(tabP(j), mytext, Draw_vert); T3D = new Draw_Text3D(tabP(j), mytext, Draw_vert);
@ -97,9 +97,9 @@ static void DUMP(const MultiLine& Line)
} }
for (j = 1; j <= nbP2d; j++) { for (j = 1; j <= nbP2d; j++) {
sprintf(solname, "%s%i%s_%i", "p", j, "2d", i); sprintf(solname, "%s%i%s_%i", "p", j, "2d", i);
char* Temp = solname ; char* Temp = solname;
DrawTrSurf::Set(Temp, tabP2d(j)); DrawTrSurf::Set(Temp, tabP2d(j));
// DrawTrSurf::Set(solname, tabP2d(j)); // DrawTrSurf::Set(solname, tabP2d(j));
if (i == firstP || i == lastP) { if (i == firstP || i == lastP) {
sprintf(mytext, "%s%i", " ", i); sprintf(mytext, "%s%i", " ", i);
T2D = new Draw_Text2D(tabP2d(j), mytext, Draw_vert); T2D = new Draw_Text2D(tabP2d(j), mytext, Draw_vert);
@ -119,19 +119,19 @@ static void DUMP(const MultiLine& Line)
if (Ok) { if (Ok) {
for (j = 1; j <= nbP3d; j++) { for (j = 1; j <= nbP3d; j++) {
sprintf(solname, "%s%i%s_%i", "t", j, "3d", i); sprintf(solname, "%s%i%s_%i", "t", j, "3d", i);
L3d = new Geom_Line (tabP(j), gp_Dir(TabV(j))); L3d = new Geom_Line(tabP(j), gp_Dir(TabV(j)));
L3dt = new Geom_TrimmedCurve(L3d, 0.0, 0.3); L3dt = new Geom_TrimmedCurve(L3d, 0.0, 0.3);
char* Temp = solname ; char* Temp = solname;
DrawTrSurf::Set(Temp, L3dt); DrawTrSurf::Set(Temp, L3dt);
// DrawTrSurf::Set(solname, L3dt); // DrawTrSurf::Set(solname, L3dt);
} }
for (j = 1; j <= nbP2d; j++) { for (j = 1; j <= nbP2d; j++) {
sprintf(solname, "%s%i%s_%i", "t", j, "2d", i); sprintf(solname, "%s%i%s_%i", "t", j, "2d", i);
L2d = new Geom2d_Line (tabP2d(j), gp_Dir2d(TabV2d(j))); L2d = new Geom2d_Line(tabP2d(j), gp_Dir2d(TabV2d(j)));
L2dt = new Geom2d_TrimmedCurve(L2d, 0.0, 0.3); L2dt = new Geom2d_TrimmedCurve(L2d, 0.0, 0.3);
char* Temp = solname ; char* Temp = solname;
DrawTrSurf::Set(Temp, L2dt); DrawTrSurf::Set(Temp, L2dt);
// DrawTrSurf::Set(solname, L2dt); // DrawTrSurf::Set(solname, L2dt);
} }
} }
} }
@ -162,17 +162,17 @@ static void DUMP(const AppParCurves_MultiBSpCurve& C)
C.Curve(i, tabPoles); C.Curve(i, tabPoles);
BSp = new Geom_BSplineCurve(tabPoles, Knots, Mults, deg); BSp = new Geom_BSplineCurve(tabPoles, Knots, Mults, deg);
sprintf(solname, "%s%i%s_%i", "c", i, "3d", nbappel); sprintf(solname, "%s%i%s_%i", "c", i, "3d", nbappel);
char* Temp = solname ; char* Temp = solname;
DrawTrSurf::Set(Temp, BSp); DrawTrSurf::Set(Temp, BSp);
// DrawTrSurf::Set(solname, BSp); // DrawTrSurf::Set(solname, BSp);
} }
else { else {
C.Curve(i, tabPoles2d); C.Curve(i, tabPoles2d);
BSp2d = new Geom2d_BSplineCurve(tabPoles2d, Knots, Mults, deg); BSp2d = new Geom2d_BSplineCurve(tabPoles2d, Knots, Mults, deg);
sprintf(solname, "%s%i%s_%i", "c", i, "2d", nbappel); sprintf(solname, "%s%i%s_%i", "c", i, "2d", nbappel);
char* Temp = solname ; char* Temp = solname;
DrawTrSurf::Set(Temp, BSp2d); DrawTrSurf::Set(Temp, BSp2d);
// DrawTrSurf::Set(solname, BSp2d); // DrawTrSurf::Set(solname, BSp2d);
} }
} }
dout.Flush(); dout.Flush();
@ -191,15 +191,15 @@ static void DUMP(const AppParCurves_MultiBSpCurve& C)
void Approx_BSplComputeLine::FirstTangencyVector(const MultiLine& Line, void Approx_BSplComputeLine::FirstTangencyVector(const MultiLine& Line,
const Standard_Integer index, const Standard_Integer index,
math_Vector& V) math_Vector& V)
const { const {
Standard_Integer i, j, nbP2d, nbP3d; Standard_Integer i, j, nbP2d, nbP3d;
nbP3d = LineTool::NbP3d(Line); nbP3d = LineTool::NbP3d(Line);
nbP2d = LineTool::NbP2d(Line); nbP2d = LineTool::NbP2d(Line);
Standard_Integer mynbP3d=nbP3d, mynbP2d=nbP2d; Standard_Integer mynbP3d = nbP3d, mynbP2d = nbP2d;
if (nbP3d == 0) mynbP3d = 1; if (nbP3d == 0) mynbP3d = 1;
if (nbP2d == 0) mynbP2d = 1; if (nbP2d == 0) mynbP2d = 1;
Standard_Boolean Ok=Standard_False; Standard_Boolean Ok = Standard_False;
TColgp_Array1OfVec TabV(1, mynbP3d); TColgp_Array1OfVec TabV(1, mynbP3d);
TColgp_Array1OfVec2d TabV2d(1, mynbP2d); TColgp_Array1OfVec2d TabV2d(1, mynbP2d);
@ -215,16 +215,16 @@ const {
j = 1; j = 1;
for (i = TabV.Lower(); i <= TabV.Upper(); i++) { for (i = TabV.Lower(); i <= TabV.Upper(); i++) {
V(j) = TabV(i).X(); V(j) = TabV(i).X();
V(j+1) = TabV(i).Y(); V(j + 1) = TabV(i).Y();
V(j+2) = TabV(i).Z(); V(j + 2) = TabV(i).Z();
j += 3; j += 3;
} }
} }
if (nbP2d != 0) { if (nbP2d != 0) {
j = nbP3d*3+1; j = nbP3d * 3 + 1;
for (i = TabV2d.Lower(); i <= TabV2d.Upper(); i++) { for (i = TabV2d.Lower(); i <= TabV2d.Upper(); i++) {
V(j) = TabV2d(i).X(); V(j) = TabV2d(i).X();
V(j+1) = TabV2d(i).Y(); V(j + 1) = TabV2d(i).Y();
j += 2; j += 2;
} }
} }
@ -235,10 +235,10 @@ const {
AppParCurves_Constraint firstC, lastC; AppParCurves_Constraint firstC, lastC;
firstC = lastC = AppParCurves_PassPoint; firstC = lastC = AppParCurves_PassPoint;
Standard_Integer nbpoles = 3; Standard_Integer nbpoles = 3;
math_Vector mypar(index, index+2); math_Vector mypar(index, index + 2);
Parameters(Line, index, index+2, mypar); Parameters(Line, index, index + 2, mypar);
Approx_BSpParLeastSquareOfMyBSplGradient Approx_BSpParLeastSquareOfMyBSplGradient
LSQ(Line, index, index+2, firstC, lastC, mypar, nbpoles); LSQ(Line, index, index + 2, firstC, lastC, mypar, nbpoles);
AppParCurves_MultiCurve C = LSQ.BezierValue(); AppParCurves_MultiCurve C = LSQ.BezierValue();
gp_Pnt myP; gp_Pnt myP;
@ -249,15 +249,15 @@ const {
for (i = 1; i <= nbP3d; i++) { for (i = 1; i <= nbP3d; i++) {
C.D1(i, 0.0, myP, myV); C.D1(i, 0.0, myP, myV);
V(j) = myV.X(); V(j) = myV.X();
V(j+1) = myV.Y(); V(j + 1) = myV.Y();
V(j+2) = myV.Z(); V(j + 2) = myV.Z();
j += 3; j += 3;
} }
j = nbP3d*3+1; j = nbP3d * 3 + 1;
for (i = nbP3d+1; i <= nbP3d+nbP2d; i++) { for (i = nbP3d + 1; i <= nbP3d + nbP2d; i++) {
C.D1(i, 0.0, myP2d, myV2d); C.D1(i, 0.0, myP2d, myV2d);
V(j) = myV2d.X(); V(j) = myV2d.X();
V(j+1) = myV2d.Y(); V(j + 1) = myV2d.Y();
j += 2; j += 2;
} }
} }
@ -272,14 +272,14 @@ const {
void Approx_BSplComputeLine::LastTangencyVector(const MultiLine& Line, void Approx_BSplComputeLine::LastTangencyVector(const MultiLine& Line,
const Standard_Integer index, const Standard_Integer index,
math_Vector& V) math_Vector& V)
const { const {
Standard_Integer i, j, nbP2d, nbP3d; Standard_Integer i, j, nbP2d, nbP3d;
nbP3d = LineTool::NbP3d(Line); nbP3d = LineTool::NbP3d(Line);
nbP2d = LineTool::NbP2d(Line); nbP2d = LineTool::NbP2d(Line);
Standard_Integer mynbP3d=nbP3d, mynbP2d=nbP2d; Standard_Integer mynbP3d = nbP3d, mynbP2d = nbP2d;
if (nbP3d == 0) mynbP3d = 1; if (nbP3d == 0) mynbP3d = 1;
if (nbP2d == 0) mynbP2d = 1; if (nbP2d == 0) mynbP2d = 1;
Standard_Boolean Ok=Standard_False; Standard_Boolean Ok = Standard_False;
TColgp_Array1OfVec TabV(1, mynbP3d); TColgp_Array1OfVec TabV(1, mynbP3d);
TColgp_Array1OfVec2d TabV2d(1, mynbP2d); TColgp_Array1OfVec2d TabV2d(1, mynbP2d);
@ -296,16 +296,16 @@ const {
j = 1; j = 1;
for (i = TabV.Lower(); i <= TabV.Upper(); i++) { for (i = TabV.Lower(); i <= TabV.Upper(); i++) {
V(j) = TabV(i).X(); V(j) = TabV(i).X();
V(j+1) = TabV(i).Y(); V(j + 1) = TabV(i).Y();
V(j+2) = TabV(i).Z(); V(j + 2) = TabV(i).Z();
j += 3; j += 3;
} }
} }
if (nbP2d != 0) { if (nbP2d != 0) {
j = nbP3d*3+1; j = nbP3d * 3 + 1;
for (i = TabV2d.Lower(); i <= TabV2d.Upper(); i++) { for (i = TabV2d.Lower(); i <= TabV2d.Upper(); i++) {
V(j) = TabV2d(i).X(); V(j) = TabV2d(i).X();
V(j+1) = TabV2d(i).Y(); V(j + 1) = TabV2d(i).Y();
j += 2; j += 2;
} }
} }
@ -316,10 +316,10 @@ const {
AppParCurves_Constraint firstC, lastC; AppParCurves_Constraint firstC, lastC;
firstC = lastC = AppParCurves_PassPoint; firstC = lastC = AppParCurves_PassPoint;
Standard_Integer nbpoles = 3; Standard_Integer nbpoles = 3;
math_Vector mypar(index-2, index); math_Vector mypar(index - 2, index);
Parameters(Line, index-2, index, mypar); Parameters(Line, index - 2, index, mypar);
Approx_BSpParLeastSquareOfMyBSplGradient Approx_BSpParLeastSquareOfMyBSplGradient
LSQ(Line, index-2, index, firstC, lastC, mypar, nbpoles); LSQ(Line, index - 2, index, firstC, lastC, mypar, nbpoles);
AppParCurves_MultiCurve C = LSQ.BezierValue(); AppParCurves_MultiCurve C = LSQ.BezierValue();
gp_Pnt myP; gp_Pnt myP;
@ -330,15 +330,15 @@ const {
for (i = 1; i <= nbP3d; i++) { for (i = 1; i <= nbP3d; i++) {
C.D1(i, 1.0, myP, myV); C.D1(i, 1.0, myP, myV);
V(j) = myV.X(); V(j) = myV.X();
V(j+1) = myV.Y(); V(j + 1) = myV.Y();
V(j+2) = myV.Z(); V(j + 2) = myV.Z();
j += 3; j += 3;
} }
j = nbP3d*3+1; j = nbP3d * 3 + 1;
for (i = nbP3d+1; i <= nbP3d+nbP2d; i++) { for (i = nbP3d + 1; i <= nbP3d + nbP2d; i++) {
C.D1(i, 1.0, myP2d, myV2d); C.D1(i, 1.0, myP2d, myV2d);
V(j) = myV2d.X(); V(j) = myV2d.X();
V(j+1) = myV2d.Y(); V(j + 1) = myV2d.Y();
j += 2; j += 2;
} }
} }
@ -352,7 +352,7 @@ const {
//purpose : //purpose :
//======================================================================= //=======================================================================
Standard_Real Approx_BSplComputeLine:: Standard_Real Approx_BSplComputeLine::
SearchFirstLambda(const MultiLine& Line, SearchFirstLambda(const MultiLine& Line,
const math_Vector& aPar, const math_Vector& aPar,
const TColStd_Array1OfReal& Theknots, const TColStd_Array1OfReal& Theknots,
const math_Vector& V, const math_Vector& V,
@ -365,7 +365,7 @@ Standard_Real Approx_BSplComputeLine::
gp_Pnt2d P12d, P22d; gp_Pnt2d P12d, P22d;
nbP3d = LineTool::NbP3d(Line); nbP3d = LineTool::NbP3d(Line);
nbP2d = LineTool::NbP2d(Line); nbP2d = LineTool::NbP2d(Line);
Standard_Integer mynbP3d=nbP3d, mynbP2d=nbP2d; Standard_Integer mynbP3d = nbP3d, mynbP2d = nbP2d;
if (nbP3d == 0) mynbP3d = 1; if (nbP3d == 0) mynbP3d = 1;
if (nbP2d == 0) mynbP2d = 1; if (nbP2d == 0) mynbP2d = 1;
TColgp_Array1OfPnt tabP1(1, mynbP3d), tabP2(1, mynbP3d); TColgp_Array1OfPnt tabP1(1, mynbP3d), tabP2(1, mynbP3d);
@ -376,12 +376,12 @@ Standard_Real Approx_BSplComputeLine::
else if (nbP2d != 0) LineTool::Value(Line, index, tabP12d); else if (nbP2d != 0) LineTool::Value(Line, index, tabP12d);
else if (nbP3d != 0) LineTool::Value(Line, index, tabP1); else if (nbP3d != 0) LineTool::Value(Line, index, tabP1);
if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, index+1, tabP2, tabP22d); if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, index + 1, tabP2, tabP22d);
else if (nbP2d != 0) LineTool::Value(Line, index+1, tabP22d); else if (nbP2d != 0) LineTool::Value(Line, index + 1, tabP22d);
else if (nbP3d != 0) LineTool::Value(Line, index+1, tabP2); else if (nbP3d != 0) LineTool::Value(Line, index + 1, tabP2);
Standard_Real U1 = aPar(index), U2 = aPar(index+1); Standard_Real U1 = aPar(index), U2 = aPar(index + 1);
Standard_Real lambda, S; Standard_Real lambda, S;
Standard_Integer low = V.Lower(); Standard_Integer low = V.Lower();
Standard_Integer nbknots = Theknots.Length(); Standard_Integer nbknots = Theknots.Length();
@ -390,19 +390,19 @@ Standard_Real Approx_BSplComputeLine::
P1 = tabP1(1); P1 = tabP1(1);
P2 = tabP2(1); P2 = tabP2(1);
gp_Vec P1P2(P1, P2), myV; gp_Vec P1P2(P1, P2), myV;
myV.SetCoord(V(low), V(low+1), V(low+2)); myV.SetCoord(V(low), V(low + 1), V(low + 2));
lambda = (P1P2.Magnitude())/(myV.Magnitude()*(U2-U1)); lambda = (P1P2.Magnitude()) / (myV.Magnitude()*(U2 - U1));
S = (P1P2.Dot(myV)> 0.0) ? 1.0 : -1.0; S = (P1P2.Dot(myV) > 0.0) ? 1.0 : -1.0;
} }
else { else {
P12d = tabP12d(1); P12d = tabP12d(1);
P22d = tabP22d(1); P22d = tabP22d(1);
gp_Vec2d P1P2(P12d, P22d), myV; gp_Vec2d P1P2(P12d, P22d), myV;
myV.SetCoord(V(low), V(low+1)); myV.SetCoord(V(low), V(low + 1));
lambda = (P1P2.Magnitude())/(myV.Magnitude()*(U2-U1)); lambda = (P1P2.Magnitude()) / (myV.Magnitude()*(U2 - U1));
S = (P1P2.Dot(myV)> 0.0) ? 1.0 : -1.0; S = (P1P2.Dot(myV) > 0.0) ? 1.0 : -1.0;
} }
return ((S*lambda)*(Theknots(2)-Theknots(1))/(Theknots(nbknots)-Theknots(1))); return ((S*lambda)*(Theknots(2) - Theknots(1)) / (Theknots(nbknots) - Theknots(1)));
} }
@ -412,7 +412,7 @@ Standard_Real Approx_BSplComputeLine::
//purpose : //purpose :
//======================================================================= //=======================================================================
Standard_Real Approx_BSplComputeLine:: Standard_Real Approx_BSplComputeLine::
SearchLastLambda(const MultiLine& Line, SearchLastLambda(const MultiLine& Line,
const math_Vector& aPar, const math_Vector& aPar,
const TColStd_Array1OfReal& Theknots, const TColStd_Array1OfReal& Theknots,
const math_Vector& V, const math_Vector& V,
@ -426,22 +426,22 @@ Standard_Real Approx_BSplComputeLine::
gp_Pnt2d P12d, P22d; gp_Pnt2d P12d, P22d;
nbP3d = LineTool::NbP3d(Line); nbP3d = LineTool::NbP3d(Line);
nbP2d = LineTool::NbP2d(Line); nbP2d = LineTool::NbP2d(Line);
Standard_Integer mynbP3d=nbP3d, mynbP2d=nbP2d; Standard_Integer mynbP3d = nbP3d, mynbP2d = nbP2d;
if (nbP3d == 0) mynbP3d = 1; if (nbP3d == 0) mynbP3d = 1;
if (nbP2d == 0) mynbP2d = 1; if (nbP2d == 0) mynbP2d = 1;
TColgp_Array1OfPnt tabP(1, mynbP3d), tabP2(1, mynbP3d); TColgp_Array1OfPnt tabP(1, mynbP3d), tabP2(1, mynbP3d);
TColgp_Array1OfPnt2d tabP2d(1, mynbP2d), tabP22d(1, mynbP2d); TColgp_Array1OfPnt2d tabP2d(1, mynbP2d), tabP22d(1, mynbP2d);
if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, index-1, tabP, tabP2d); if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, index - 1, tabP, tabP2d);
else if (nbP2d != 0) LineTool::Value(Line, index-1, tabP2d); else if (nbP2d != 0) LineTool::Value(Line, index - 1, tabP2d);
else if (nbP3d != 0) LineTool::Value(Line, index-1, tabP); else if (nbP3d != 0) LineTool::Value(Line, index - 1, tabP);
if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, index, tabP2, tabP22d); if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, index, tabP2, tabP22d);
else if (nbP2d != 0) LineTool::Value(Line, index, tabP22d); else if (nbP2d != 0) LineTool::Value(Line, index, tabP22d);
else if (nbP3d != 0) LineTool::Value(Line, index, tabP2); else if (nbP3d != 0) LineTool::Value(Line, index, tabP2);
Standard_Real U1 = aPar(index-1), U2 = aPar(index); Standard_Real U1 = aPar(index - 1), U2 = aPar(index);
Standard_Real lambda, S; Standard_Real lambda, S;
Standard_Integer low = V.Lower(); Standard_Integer low = V.Lower();
Standard_Integer nbknots = Theknots.Length(); Standard_Integer nbknots = Theknots.Length();
@ -449,21 +449,21 @@ Standard_Real Approx_BSplComputeLine::
P1 = tabP(1); P1 = tabP(1);
P2 = tabP2(1); P2 = tabP2(1);
gp_Vec P1P2(P1, P2), myV; gp_Vec P1P2(P1, P2), myV;
myV.SetCoord(V(low), V(low+1), V(low+2)); myV.SetCoord(V(low), V(low + 1), V(low + 2));
lambda = (P1P2.Magnitude())/(myV.Magnitude()*(U2-U1)); lambda = (P1P2.Magnitude()) / (myV.Magnitude()*(U2 - U1));
S = (P1P2.Dot(myV)> 0.0) ? 1.0 : -1.0; S = (P1P2.Dot(myV) > 0.0) ? 1.0 : -1.0;
} }
else { else {
P12d = tabP2d(1); P12d = tabP2d(1);
P22d = tabP22d(1); P22d = tabP22d(1);
gp_Vec2d P1P2(P12d, P22d), myV; gp_Vec2d P1P2(P12d, P22d), myV;
myV.SetCoord(V(low), V(low+1)); myV.SetCoord(V(low), V(low + 1));
lambda = (P1P2.Magnitude())/(myV.Magnitude()*(U2-U1)); lambda = (P1P2.Magnitude()) / (myV.Magnitude()*(U2 - U1));
S = (P1P2.Dot(myV)> 0.0) ? 1.0 : -1.0; S = (P1P2.Dot(myV) > 0.0) ? 1.0 : -1.0;
} }
return ((S*lambda)*(Theknots(nbknots)-Theknots(nbknots-1)) return ((S*lambda)*(Theknots(nbknots) - Theknots(nbknots - 1))
/(Theknots(nbknots)-Theknots(1))); / (Theknots(nbknots) - Theknots(1)));
} }
@ -473,7 +473,7 @@ Standard_Real Approx_BSplComputeLine::
//purpose : //purpose :
//======================================================================= //=======================================================================
Approx_BSplComputeLine::Approx_BSplComputeLine Approx_BSplComputeLine::Approx_BSplComputeLine
(const MultiLine& Line, (const MultiLine& Line,
const math_Vector& Parameters, const math_Vector& Parameters,
const Standard_Integer degreemin, const Standard_Integer degreemin,
const Standard_Integer degreemax, const Standard_Integer degreemax,
@ -490,6 +490,7 @@ Approx_BSplComputeLine::Approx_BSplComputeLine
} }
myConstraints = new AppParCurves_HArray1OfConstraintCouple(1, 2); myConstraints = new AppParCurves_HArray1OfConstraintCouple(1, 2);
Par = Approx_IsoParametric; Par = Approx_IsoParametric;
myPeriodic = Standard_False;
mydegremin = degreemin; mydegremin = degreemin;
mydegremax = degreemax; mydegremax = degreemax;
mytol3d = Tolerance3d; mytol3d = Tolerance3d;
@ -514,7 +515,7 @@ Approx_BSplComputeLine::Approx_BSplComputeLine
//purpose : //purpose :
//======================================================================= //=======================================================================
Approx_BSplComputeLine::Approx_BSplComputeLine Approx_BSplComputeLine::Approx_BSplComputeLine
(const math_Vector& Parameters, (const math_Vector& Parameters,
const Standard_Integer degreemin, const Standard_Integer degreemin,
const Standard_Integer degreemax, const Standard_Integer degreemax,
const Standard_Real Tolerance3d, const Standard_Real Tolerance3d,
@ -532,6 +533,7 @@ Approx_BSplComputeLine::Approx_BSplComputeLine
mylastC = AppParCurves_TangencyPoint; mylastC = AppParCurves_TangencyPoint;
myConstraints = new AppParCurves_HArray1OfConstraintCouple(1, 2); myConstraints = new AppParCurves_HArray1OfConstraintCouple(1, 2);
Par = Approx_IsoParametric; Par = Approx_IsoParametric;
myPeriodic = Standard_False;
mydegremin = degreemin; mydegremin = degreemin;
mydegremax = degreemax; mydegremax = degreemax;
mytol3d = Tolerance3d; mytol3d = Tolerance3d;
@ -552,7 +554,7 @@ Approx_BSplComputeLine::Approx_BSplComputeLine
//purpose : //purpose :
//======================================================================= //=======================================================================
Approx_BSplComputeLine::Approx_BSplComputeLine Approx_BSplComputeLine::Approx_BSplComputeLine
(const Standard_Integer degreemin, (const Standard_Integer degreemin,
const Standard_Integer degreemax, const Standard_Integer degreemax,
const Standard_Real Tolerance3d, const Standard_Real Tolerance3d,
const Standard_Real Tolerance2d, const Standard_Real Tolerance2d,
@ -563,6 +565,7 @@ Approx_BSplComputeLine::Approx_BSplComputeLine
{ {
myConstraints = new AppParCurves_HArray1OfConstraintCouple(1, 2); myConstraints = new AppParCurves_HArray1OfConstraintCouple(1, 2);
Par = parametrization; Par = parametrization;
myPeriodic = Standard_False;
mydegremin = degreemin; mydegremin = degreemin;
mydegremax = degreemax; mydegremax = degreemax;
mytol3d = Tolerance3d; mytol3d = Tolerance3d;
@ -586,7 +589,7 @@ Approx_BSplComputeLine::Approx_BSplComputeLine
//purpose : //purpose :
//======================================================================= //=======================================================================
Approx_BSplComputeLine::Approx_BSplComputeLine Approx_BSplComputeLine::Approx_BSplComputeLine
(const MultiLine& Line, (const MultiLine& Line,
const Standard_Integer degreemin, const Standard_Integer degreemin,
const Standard_Integer degreemax, const Standard_Integer degreemax,
const Standard_Real Tolerance3d, const Standard_Real Tolerance3d,
@ -606,6 +609,7 @@ Approx_BSplComputeLine::Approx_BSplComputeLine
mycut = cutting; mycut = cutting;
myitermax = NbIterations; myitermax = NbIterations;
Par = parametrization; Par = parametrization;
myPeriodic = Standard_False;
myfirstC = AppParCurves_TangencyPoint; myfirstC = AppParCurves_TangencyPoint;
mylastC = AppParCurves_TangencyPoint; mylastC = AppParCurves_TangencyPoint;
myhasknots = Standard_False; myhasknots = Standard_False;
@ -646,17 +650,17 @@ void Approx_BSplComputeLine::Perform(const MultiLine& Line)
myConstraints->SetValue(2, myCouple2); myConstraints->SetValue(2, myCouple2);
math_Vector TheParam(Thefirstpt, Thelastpt, 0.0); math_Vector TheParam(Thefirstpt, Thelastpt, 0.0);
if(myfirstParam.IsNull()) { if (myfirstParam.IsNull()) {
Parameters(Line, Thefirstpt, Thelastpt, TheParam); Parameters(Line, Thefirstpt, Thelastpt, TheParam);
} }
else { else {
for (i = myfirstParam->Lower(); i <= myfirstParam->Upper(); i++) { for (i = myfirstParam->Lower(); i <= myfirstParam->Upper(); i++) {
TheParam(i+Thefirstpt-1) = myfirstParam->Value(i); TheParam(i + Thefirstpt - 1) = myfirstParam->Value(i);
} }
} }
myParameters = new TColStd_HArray1OfReal(TheParam.Lower(), TheParam.Upper()); myParameters = new TColStd_HArray1OfReal(TheParam.Lower(), TheParam.Upper());
for ( i = TheParam.Lower(); i <= TheParam.Upper(); i++) { for (i = TheParam.Lower(); i <= TheParam.Upper(); i++) {
myParameters->SetValue(i, TheParam(i)); myParameters->SetValue(i, TheParam(i));
} }
Standard_Integer nbknots = 2; Standard_Integer nbknots = 2;
@ -731,15 +735,15 @@ void Approx_BSplComputeLine::Perform(const MultiLine& Line)
TColStd_Array1OfInteger TheMults(1, nbknots); TColStd_Array1OfInteger TheMults(1, nbknots);
Theknots(1) = 0.0; Theknots(1) = 0.0;
Theknots(nbknots) = 1.0; Theknots(nbknots) = 1.0;
for (i = 2; i <= nbknots-1; i++) { for (i = 2; i <= nbknots - 1; i++) {
l = (mylastpt-myfirstpt)*Standard_Real(i-1) l = (mylastpt - myfirstpt)*Standard_Real(i - 1)
/Standard_Real(nbknots-1); / Standard_Real(nbknots - 1);
Standard_Integer ll = (Standard_Integer)(l); Standard_Integer ll = (Standard_Integer)(l);
Standard_Real a = l - ll; Standard_Real a = l - ll;
Standard_Real p1 = TheParam(ll + myfirstpt); Standard_Real p1 = TheParam(ll + myfirstpt);
Standard_Real p2 = TheParam(ll + 1 + myfirstpt); Standard_Real p2 = TheParam(ll + 1 + myfirstpt);
Theknots(i) = (1.-a)*p1 + a*p2; Theknots(i) = (1. - a)*p1 + a*p2;
} }
alldone = Compute(Line, myfirstpt, mylastpt, TheParam, Theknots, TheMults); alldone = Compute(Line, myfirstpt, mylastpt, TheParam, Theknots, TheMults);
@ -808,13 +812,13 @@ void Approx_BSplComputeLine::Parameters(const MultiLine& Line,
TheParameters(firstP) = 0.0; TheParameters(firstP) = 0.0;
TheParameters(lastP) = 1.0; TheParameters(lastP) = 1.0;
} }
else if(Par == Approx_ChordLength || Par == Approx_Centripetal) else if (Par == Approx_ChordLength || Par == Approx_Centripetal)
{ {
nbP3d = LineTool::NbP3d(Line); nbP3d = LineTool::NbP3d(Line);
nbP2d = LineTool::NbP2d(Line); nbP2d = LineTool::NbP2d(Line);
Standard_Integer mynbP3d = nbP3d, mynbP2d = nbP2d; Standard_Integer mynbP3d = nbP3d, mynbP2d = nbP2d;
if(nbP3d == 0) mynbP3d = 1; if (nbP3d == 0) mynbP3d = 1;
if(nbP2d == 0) mynbP2d = 1; if (nbP2d == 0) mynbP2d = 1;
TheParameters(firstP) = 0.0; TheParameters(firstP) = 0.0;
dist = 0.0; dist = 0.0;
@ -823,23 +827,23 @@ void Approx_BSplComputeLine::Parameters(const MultiLine& Line,
TColgp_Array1OfPnt2d tabP2d(1, mynbP2d); TColgp_Array1OfPnt2d tabP2d(1, mynbP2d);
TColgp_Array1OfPnt2d tabPP2d(1, mynbP2d); TColgp_Array1OfPnt2d tabPP2d(1, mynbP2d);
for(i = firstP + 1; i <= lastP; i++) for (i = firstP + 1; i <= lastP; i++)
{ {
if(nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, i - 1, tabP, tabP2d); if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, i - 1, tabP, tabP2d);
else if(nbP2d != 0) LineTool::Value(Line, i - 1, tabP2d); else if (nbP2d != 0) LineTool::Value(Line, i - 1, tabP2d);
else if(nbP3d != 0) LineTool::Value(Line, i - 1, tabP); else if (nbP3d != 0) LineTool::Value(Line, i - 1, tabP);
if(nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, i, tabPP, tabPP2d); if (nbP3d != 0 && nbP2d != 0) LineTool::Value(Line, i, tabPP, tabPP2d);
else if(nbP2d != 0) LineTool::Value(Line, i, tabPP2d); else if (nbP2d != 0) LineTool::Value(Line, i, tabPP2d);
else if(nbP3d != 0) LineTool::Value(Line, i, tabPP); else if (nbP3d != 0) LineTool::Value(Line, i, tabPP);
dist = 0.0; dist = 0.0;
for(j = 1; j <= nbP3d; j++) for (j = 1; j <= nbP3d; j++)
{ {
const gp_Pnt &aP1 = tabP(j), const gp_Pnt &aP1 = tabP(j),
&aP2 = tabPP(j); &aP2 = tabPP(j);
dist += aP2.SquareDistance(aP1); dist += aP2.SquareDistance(aP1);
} }
for(j = 1; j <= nbP2d; j++) for (j = 1; j <= nbP2d; j++)
{ {
const gp_Pnt2d &aP12d = tabP2d(j), const gp_Pnt2d &aP12d = tabP2d(j),
&aP22d = tabPP2d(j); &aP22d = tabPP2d(j);
@ -848,7 +852,7 @@ void Approx_BSplComputeLine::Parameters(const MultiLine& Line,
} }
dist = Sqrt(dist); dist = Sqrt(dist);
if(Par == Approx_ChordLength) if (Par == Approx_ChordLength)
{ {
TheParameters(i) = TheParameters(i - 1) + dist; TheParameters(i) = TheParameters(i - 1) + dist;
} }
@ -857,12 +861,12 @@ void Approx_BSplComputeLine::Parameters(const MultiLine& Line,
TheParameters(i) = TheParameters(i - 1) + Sqrt(dist); TheParameters(i) = TheParameters(i - 1) + Sqrt(dist);
} }
} }
for(i = firstP; i <= lastP; i++) TheParameters(i) /= TheParameters(lastP); for (i = firstP; i <= lastP; i++) TheParameters(i) /= TheParameters(lastP);
} }
else { else {
for (i = firstP; i <= lastP; i++) { for (i = firstP; i <= lastP; i++) {
TheParameters(i) = (Standard_Real(i)-firstP)/ TheParameters(i) = (Standard_Real(i) - firstP) /
(Standard_Real(lastP)-Standard_Real(firstP)); (Standard_Real(lastP - Standard_Real(firstP)));
} }
} }
} }
@ -882,7 +886,7 @@ Standard_Boolean Approx_BSplComputeLine::Compute(const MultiLine& Line,
Standard_Integer i, deg, nbpoles, multinter; Standard_Integer i, deg, nbpoles, multinter;
Standard_Boolean mydone; Standard_Boolean mydone;
Standard_Real Fv, TheTol3d, TheTol2d, l1, l2; Standard_Real Fv, TheTol3d, TheTol2d, l1, l2;
Standard_Integer nbp = lpt-fpt+1; Standard_Integer nbp = lpt - fpt + 1;
mylambda1 = 0.0; mylambda1 = 0.0;
mylambda2 = 0.0; mylambda2 = 0.0;
@ -893,18 +897,18 @@ Standard_Boolean Approx_BSplComputeLine::Compute(const MultiLine& Line,
aParams = Para; aParams = Para;
if (!myhasmults) { if (!myhasmults) {
Mults(Mults.Lower()) = deg+1; Mults(Mults.Lower()) = deg + 1;
Mults(Mults.Upper()) = deg+1; Mults(Mults.Upper()) = deg + 1;
nbpoles = deg+1; nbpoles = deg + 1;
if (mycont == -1) multinter = 1; if (mycont == -1) multinter = 1;
else multinter = Max(1, deg-mycont); else multinter = Max(1, deg - mycont);
for (i = Mults.Lower()+1; i <= Mults.Upper()-1; i++) { for (i = Mults.Lower() + 1; i <= Mults.Upper() - 1; i++) {
Mults(i) = multinter; Mults(i) = multinter;
nbpoles += multinter; nbpoles += multinter;
} }
} }
else { else {
nbpoles = -deg-1; nbpoles = -deg - 1;
for (i = Mults.Lower(); i <= Mults.Upper(); i++) { for (i = Mults.Lower(); i <= Mults.Upper(); i++) {
nbpoles += Mults.Value(i); nbpoles += Mults.Value(i);
} }
@ -912,8 +916,8 @@ Standard_Boolean Approx_BSplComputeLine::Compute(const MultiLine& Line,
Standard_Integer nbpolestocompare = nbpoles; Standard_Integer nbpolestocompare = nbpoles;
if (realfirstC == AppParCurves_TangencyPoint) nbpolestocompare++; if (realfirstC == AppParCurves_TangencyPoint) nbpolestocompare++;
if (reallastC == AppParCurves_CurvaturePoint) nbpolestocompare++; if (reallastC == AppParCurves_TangencyPoint) nbpolestocompare++;
if (realfirstC == AppParCurves_TangencyPoint) nbpolestocompare++; if (realfirstC == AppParCurves_CurvaturePoint) nbpolestocompare++;
if (reallastC == AppParCurves_CurvaturePoint) nbpolestocompare++; if (reallastC == AppParCurves_CurvaturePoint) nbpolestocompare++;
if (nbpolestocompare > nbp) { if (nbpolestocompare > nbp) {
Interpol(Line); Interpol(Line);
@ -924,35 +928,35 @@ Standard_Boolean Approx_BSplComputeLine::Compute(const MultiLine& Line,
AppParCurves_MultiBSpCurve mySCU(nbpoles); AppParCurves_MultiBSpCurve mySCU(nbpoles);
if (mysquares) { if (mysquares) {
Approx_BSpParLeastSquareOfMyBSplGradient SQ(Line,Knots,Mults,fpt,lpt, Approx_BSpParLeastSquareOfMyBSplGradient SQ(Line, Knots, Mults, fpt, lpt,
realfirstC, reallastC, aParams, nbpoles); realfirstC, reallastC, aParams, nbpoles);
mydone = SQ.IsDone(); mydone = SQ.IsDone();
if(mydone) { if (mydone) {
mySCU = SQ.BSplineValue(); mySCU = SQ.BSplineValue();
SQ.Error(Fv, TheTol3d, TheTol2d); SQ.Error(Fv, TheTol3d, TheTol2d);
} }
else continue; else continue;
} }
else { else {
if (nbpoles != deg+1) { if (nbpoles != deg + 1) {
if (deg == mydegremin && (realfirstC >= AppParCurves_TangencyPoint || if (deg == mydegremin && (realfirstC >= AppParCurves_TangencyPoint ||
reallastC >= AppParCurves_TangencyPoint)) { reallastC >= AppParCurves_TangencyPoint)) {
Approx_BSpParLeastSquareOfMyBSplGradient Approx_BSpParLeastSquareOfMyBSplGradient
thefitt(Line,Knots,Mults, fpt,lpt,realfirstC,reallastC, aParams, nbpoles); thefitt(Line, Knots, Mults, fpt, lpt, realfirstC, reallastC, aParams, nbpoles);
mylambda1 = thefitt.FirstLambda()*deg; mylambda1 = thefitt.FirstLambda()*deg;
mylambda2 = thefitt.LastLambda()*deg; mylambda2 = thefitt.LastLambda()*deg;
} }
l1 = mylambda1/deg; l1 = mylambda1 / deg;
l2 = mylambda2/deg; l2 = mylambda2 / deg;
Approx_MyBSplGradient GRAD(Line, fpt, lpt, myConstraints, Approx_MyBSplGradient GRAD(Line, fpt, lpt, myConstraints,
aParams, Knots, Mults, deg, mytol3d, aParams, Knots, Mults, deg, mytol3d,
mytol2d, myitermax, l1, l2); mytol2d, myitermax, l1, l2);
mydone = GRAD.IsDone(); mydone = GRAD.IsDone();
if(mydone) { if (mydone) {
mySCU = GRAD.Value(); mySCU = GRAD.Value();
TheTol3d = GRAD.MaxError3d(); TheTol3d = GRAD.MaxError3d();
TheTol2d = GRAD.MaxError2d(); TheTol2d = GRAD.MaxError2d();
@ -964,10 +968,10 @@ Standard_Boolean Approx_BSplComputeLine::Compute(const MultiLine& Line,
aParams, deg, mytol3d, aParams, deg, mytol3d,
mytol2d, myitermax); mytol2d, myitermax);
mydone = GRAD2.IsDone(); mydone = GRAD2.IsDone();
if(mydone) { if (mydone) {
if (GRAD2.Value().NbCurves() == 0) if (GRAD2.Value().NbCurves() == 0)
continue; continue;
mySCU = AppParCurves_MultiBSpCurve (GRAD2.Value(), Knots, Mults); mySCU = AppParCurves_MultiBSpCurve(GRAD2.Value(), Knots, Mults);
TheTol3d = GRAD2.MaxError3d(); TheTol3d = GRAD2.MaxError3d();
TheTol2d = GRAD2.MaxError2d(); TheTol2d = GRAD2.MaxError2d();
} }
@ -1050,7 +1054,7 @@ void Approx_BSplComputeLine::SetKnots(const TColStd_Array1OfReal& Knots)
//purpose : //purpose :
//======================================================================= //=======================================================================
void Approx_BSplComputeLine::SetKnotsAndMultiplicities void Approx_BSplComputeLine::SetKnotsAndMultiplicities
(const TColStd_Array1OfReal& Knots, (const TColStd_Array1OfReal& Knots,
const TColStd_Array1OfInteger& Mults) const TColStd_Array1OfInteger& Mults)
{ {
myhasknots = Standard_True; myhasknots = Standard_True;
@ -1126,6 +1130,14 @@ void Approx_BSplComputeLine::SetConstraints(const AppParCurves_Constraint FirstC
mylastC = LastC; mylastC = LastC;
} }
//=======================================================================
//function : SetPeriodic
//purpose :
//=======================================================================
void Approx_BSplComputeLine::SetPeriodic(const Standard_Boolean thePeriodic)
{
myPeriodic = thePeriodic;
}
//======================================================================= //=======================================================================
@ -1181,7 +1193,7 @@ void Approx_BSplComputeLine::FindRealConstraints(const MultiLine& Line)
Standard_Integer nbP2d, nbP3d; Standard_Integer nbP2d, nbP3d;
nbP3d = LineTool::NbP3d(Line); nbP3d = LineTool::NbP3d(Line);
nbP2d = LineTool::NbP2d(Line); nbP2d = LineTool::NbP2d(Line);
Standard_Boolean Ok=Standard_False; Standard_Boolean Ok = Standard_False;
TColgp_Array1OfVec TabV(1, Max(1, nbP3d)); TColgp_Array1OfVec TabV(1, Max(1, nbP3d));
TColgp_Array1OfVec2d TabV2d(1, Max(1, nbP2d)); TColgp_Array1OfVec2d TabV2d(1, Max(1, nbP2d));
Standard_Integer Thefirstpt = LineTool::FirstPoint(Line); Standard_Integer Thefirstpt = LineTool::FirstPoint(Line);
@ -1257,12 +1269,12 @@ void Approx_BSplComputeLine::Interpol(const MultiLine& Line)
Thelastpt = LineTool::LastPoint(Line); Thelastpt = LineTool::LastPoint(Line);
math_Vector TheParam(Thefirstpt, Thelastpt, 0.0); math_Vector TheParam(Thefirstpt, Thelastpt, 0.0);
//Par = Approx_ChordLength; //Par = Approx_ChordLength;
if(myfirstParam.IsNull()) { if (myfirstParam.IsNull()) {
Parameters(Line, Thefirstpt, Thelastpt, TheParam); Parameters(Line, Thefirstpt, Thelastpt, TheParam);
} }
else { else {
for (i = myfirstParam->Lower(); i <= myfirstParam->Upper(); i++) { for (i = myfirstParam->Lower(); i <= myfirstParam->Upper(); i++) {
TheParam(i+Thefirstpt-1) = myfirstParam->Value(i); TheParam(i + Thefirstpt - 1) = myfirstParam->Value(i);
} }
} }
AppParCurves_Constraint Cons = AppParCurves_TangencyPoint; AppParCurves_Constraint Cons = AppParCurves_TangencyPoint;
@ -1277,14 +1289,14 @@ void Approx_BSplComputeLine::Interpol(const MultiLine& Line)
Cons = AppParCurves_NoConstraint; Cons = AppParCurves_NoConstraint;
Standard_Integer mydeg = 1; Standard_Integer mydeg = 1;
Approx_BSpParLeastSquareOfMyBSplGradient Approx_BSpParLeastSquareOfMyBSplGradient
LSQ(Line, Thefirstpt, Thelastpt, Cons, Cons, TheParam, mydeg+1); LSQ(Line, Thefirstpt, Thelastpt, Cons, Cons, TheParam, mydeg + 1);
alldone = LSQ.IsDone(); alldone = LSQ.IsDone();
TColStd_Array1OfReal TheKnots(1, 2); TColStd_Array1OfReal TheKnots(1, 2);
TColStd_Array1OfInteger TheMults(1, 2); TColStd_Array1OfInteger TheMults(1, 2);
TheKnots(1) = TheParam(Thefirstpt); TheKnots(2) = TheParam(Thelastpt); TheKnots(1) = TheParam(Thefirstpt); TheKnots(2) = TheParam(Thelastpt);
TheMults(1) = TheMults(2) = mydeg+1; TheMults(1) = TheMults(2) = mydeg + 1;
TheMultiBSpCurve = TheMultiBSpCurve =
AppParCurves_MultiBSpCurve (LSQ.BezierValue(),TheKnots,TheMults); AppParCurves_MultiBSpCurve(LSQ.BezierValue(), TheKnots, TheMults);
LSQ.Error(Fv, currenttol3d, currenttol2d); LSQ.Error(Fv, currenttol3d, currenttol2d);
} }
@ -1297,17 +1309,17 @@ void Approx_BSplComputeLine::Interpol(const MultiLine& Line)
Theknots(1) = TheParam(Thefirstpt); Theknots(1) = TheParam(Thefirstpt);
Theknots(nbknots) = TheParam(Thelastpt); Theknots(nbknots) = TheParam(Thelastpt);
TColStd_Array1OfInteger TheMults(1, nbknots); TColStd_Array1OfInteger TheMults(1, nbknots);
TheMults(1) = deg+1; TheMults(1) = deg + 1;
TheMults(nbknots) = deg+1; TheMults(nbknots) = deg + 1;
Standard_Integer low = TheParam.Lower(); Standard_Integer low = TheParam.Lower();
for (i = 2; i <= nbknots-1; i++) { for (i = 2; i <= nbknots - 1; i++) {
Theknots(i) = TheParam(i+low-1); Theknots(i) = TheParam(i + low - 1);
TheMults(i) = 1; TheMults(i) = 1;
} }
Standard_Integer nbP = 3*LineTool::NbP3d(Line)+ 2*LineTool::NbP2d(Line); Standard_Integer nbP = 3 * LineTool::NbP3d(Line) + 2 * LineTool::NbP2d(Line);
math_Vector V1(1, nbP), V2(1, nbP); math_Vector V1(1, nbP), V2(1, nbP);
if (nbpoints == 3 || nbpoints == 4) { if (nbpoints == 3 || nbpoints == 4) {
@ -1316,36 +1328,37 @@ void Approx_BSplComputeLine::Interpol(const MultiLine& Line)
LastTangencyVector(Line, Thelastpt, V2); LastTangencyVector(Line, Thelastpt, V2);
lambda2 = SearchLastLambda(Line, TheParam, Theknots, V2, Thelastpt); lambda2 = SearchLastLambda(Line, TheParam, Theknots, V2, Thelastpt);
}
lambda1 = lambda1 / deg;
lambda2 = lambda2 / deg;
}
else { else {
Standard_Integer nnpol, nnp = Min(nbpoints, 9); Standard_Integer nnpol, nnp = Min(nbpoints, 9);
nnpol = nnp; nnpol = nnp;
Standard_Integer lastp = Min(Thelastpt, Thefirstpt + nnp-1); Standard_Integer lastp = Min(Thelastpt, Thefirstpt + nnp - 1);
Standard_Real U; Standard_Real U;
Approx_BSpParLeastSquareOfMyBSplGradient Approx_BSpParLeastSquareOfMyBSplGradient
SQ1(Line, Thefirstpt, lastp, Cons, Cons, nnpol); SQ1(Line, Thefirstpt, lastp, Cons, Cons, nnpol);
math_Vector P1(Thefirstpt, lastp); math_Vector P1(Thefirstpt, lastp);
for (i=Thefirstpt; i <=lastp; i++) P1(i) = TheParam(i); for (i = Thefirstpt; i <= lastp; i++) P1(i) = TheParam(i);
SQ1.Perform(P1); SQ1.Perform(P1);
const AppParCurves_MultiCurve& C1 = SQ1.BezierValue(); const AppParCurves_MultiCurve& C1 = SQ1.BezierValue();
U = 0.0; U = 0.0;
TangencyVector(Line, C1, U, V1); TangencyVector(Line, C1, U, V1);
Standard_Integer firstp = Max(Thefirstpt, Thelastpt - nnp+1); Standard_Integer firstp = Max(Thefirstpt, Thelastpt - nnp + 1);
if (firstp == Thefirstpt && lastp == Thelastpt) { if (firstp == Thefirstpt && lastp == Thelastpt) {
U = 1.0; U = 1.0;
TangencyVector (Line, C1, U, V2); TangencyVector(Line, C1, U, V2);
} }
else { else {
Approx_BSpParLeastSquareOfMyBSplGradient Approx_BSpParLeastSquareOfMyBSplGradient
SQ2(Line, firstp, Thelastpt, Cons, Cons, nnpol); SQ2(Line, firstp, Thelastpt, Cons, Cons, nnpol);
math_Vector P2(firstp, Thelastpt); math_Vector P2(firstp, Thelastpt);
for (i=firstp; i <=Thelastpt; i++) P2(i) = TheParam(i); for (i = firstp; i <= Thelastpt; i++) P2(i) = TheParam(i);
SQ2.Perform(P2); SQ2.Perform(P2);
const AppParCurves_MultiCurve& C2 = SQ2.BezierValue(); const AppParCurves_MultiCurve& C2 = SQ2.BezierValue();
U = 1.0; U = 1.0;
@ -1353,21 +1366,25 @@ void Approx_BSplComputeLine::Interpol(const MultiLine& Line)
} }
lambda1 = 1./deg; lambda1 = 1. / deg;
lambda1 = lambda1*(Theknots(2)-Theknots(1)) lambda1 = lambda1*(Theknots(2) - Theknots(1))
/(Theknots(nbknots)-Theknots(1)); / (Theknots(nbknots) - Theknots(1));
lambda2 = 1./deg; lambda2 = 1. / deg;
lambda2 = lambda2*(Theknots(nbknots)-Theknots(nbknots-1)) lambda2 = lambda2*(Theknots(nbknots) - Theknots(nbknots - 1))
/(Theknots(nbknots)-Theknots(1)); / (Theknots(nbknots) - Theknots(1));
} }
if (myPeriodic)
{
V1 = 0.5 * (V1 + V2);
V2 = V1;
}
Approx_BSpParLeastSquareOfMyBSplGradient Approx_BSpParLeastSquareOfMyBSplGradient
SQ(Line, Theknots,TheMults,Thefirstpt, Thelastpt, SQ(Line, Theknots, TheMults, Thefirstpt, Thelastpt,
Cons, Cons, nbpoles); Cons, Cons, nbpoles);
lambda1 = lambda1/deg;
lambda2 = lambda2/deg;
SQ.Perform(TheParam, V1, V2, lambda1, lambda2); SQ.Perform(TheParam, V1, V2, lambda1, lambda2);
alldone = SQ.IsDone(); alldone = SQ.IsDone();
TheMultiBSpCurve = SQ.BSplineValue(); TheMultiBSpCurve = SQ.BSplineValue();
@ -1404,15 +1421,15 @@ void Approx_BSplComputeLine::TangencyVector(
for (i = 1; i <= nbP3d; i++) { for (i = 1; i <= nbP3d; i++) {
C.D1(i, U, myP, myV); C.D1(i, U, myP, myV);
V(j) = myV.X(); V(j) = myV.X();
V(j+1) = myV.Y(); V(j + 1) = myV.Y();
V(j+2) = myV.Z(); V(j + 2) = myV.Z();
j += 3; j += 3;
} }
j = nbP3d*3+1; j = nbP3d * 3 + 1;
for (i = nbP3d+1; i <= nbP3d+nbP2d; i++) { for (i = nbP3d + 1; i <= nbP3d + nbP2d; i++) {
C.D1(i, U, myP2d, myV2d); C.D1(i, U, myP2d, myV2d);
V(j) = myV2d.X(); V(j) = myV2d.X();
V(j+1) = myV2d.Y(); V(j + 1) = myV2d.Y();
j += 2; j += 2;
} }

7
src/BRepApprox/BRepApprox_TheComputeLineOfApprox.hxx
View File

@ -117,6 +117,12 @@ public:
//! changes the first and the last constraint points. //! changes the first and the last constraint points.
Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC); Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC);
//! Sets periodic flag.
//! If thePeriodic = Standard_True, algorith tries to build periodic
//! multicurve using corresponding C1 boundary condition for first and last multipoints.
//! Multiline must be closed.
Standard_EXPORT void SetPeriodic(const Standard_Boolean thePeriodic);
//! returns False if at a moment of the approximation, //! returns False if at a moment of the approximation,
//! the status NoApproximation has been sent by the user //! the status NoApproximation has been sent by the user
//! when more points were needed. //! when more points were needed.
@ -199,6 +205,7 @@ private:
Standard_Integer mycont; Standard_Integer mycont;
Standard_Real mylambda1; Standard_Real mylambda1;
Standard_Real mylambda2; Standard_Real mylambda2;
Standard_Boolean myPeriodic;
}; };

213
src/GeomAPI/GeomAPI_PointsToBSplineSurface.cxx
View File

@ -34,6 +34,145 @@
#include <Precision.hxx> #include <Precision.hxx>
#include <StdFail_NotDone.hxx> #include <StdFail_NotDone.hxx>
#include <TColgp_Array1OfPnt.hxx> #include <TColgp_Array1OfPnt.hxx>
#include <AppDef_BSpParLeastSquareOfMyBSplGradientOfBSplineCompute.hxx>
static void BuildParameters(const AppDef_MultiLine& theLine,
const Approx_ParametrizationType theParT,
TColStd_Array1OfReal& thePars)
{
Standard_Integer i, j, nbP3d = theLine.NbPoints();
Standard_Real dist;
Standard_Integer firstP = 1, lastP = theLine.NbMultiPoints();
const Standard_Integer aNbp = lastP - firstP + 1;
if (aNbp == 2) {
thePars(firstP) = 0.0;
thePars(lastP) = 1.0;
}
else if (theParT == Approx_ChordLength || theParT == Approx_Centripetal)
{
thePars(firstP) = 0.0;
dist = 0.0;
for (i = firstP + 1; i <= lastP; i++)
{
AppDef_MultiPointConstraint aMPC = theLine.Value(i - 1);
AppDef_MultiPointConstraint aMPC1 = theLine.Value(i);
dist = 0.0;
for (j = 1; j <= nbP3d; j++)
{
const gp_Pnt &aP1 = aMPC.Point(j),
&aP2 = aMPC1.Point(j);
dist += aP2.SquareDistance(aP1);
}
dist = Sqrt(dist);
if (theParT == Approx_ChordLength)
{
thePars(i) = thePars(i - 1) + dist;
}
else
{// Par == Approx_Centripetal
thePars(i) = thePars(i - 1) + Sqrt(dist);
}
}
for (i = firstP; i <= lastP; i++) thePars(i) /= thePars(lastP);
}
else {
for (i = firstP; i <= lastP; i++) {
thePars(i) = (Standard_Real(i) - firstP) /
(Standard_Real(lastP - Standard_Real(firstP)));
}
}
}
static void BuildPeriodicTangent(const AppDef_MultiLine& theLine,
const TColStd_Array1OfReal& thePars,
math_Vector& theTang)
{
Standard_Integer firstpt = 1, lastpt = theLine.NbMultiPoints();
Standard_Integer nbpoints = lastpt - firstpt + 1;
//
if (nbpoints <= 2)
{
return;
}
//
Standard_Integer i, nnpol, nnp = Min(nbpoints, 9);
nnpol = nnp;
Standard_Integer lastp = Min(lastpt, firstpt + nnp - 1);
Standard_Real U;
AppParCurves_Constraint Cons = AppParCurves_TangencyPoint;
if (nnp <= 4)
{
Cons = AppParCurves_PassPoint;
}
Standard_Integer nbP = 3 * theLine.NbPoints();
math_Vector V1(1, nbP), V2(1, nbP);
math_Vector P1(firstpt, lastp);
//
for (i = firstpt; i <= lastp; i++)
{
P1(i) = thePars(i);
}
AppDef_BSpParLeastSquareOfMyBSplGradientOfBSplineCompute SQ1(theLine, firstpt, lastp, Cons, Cons, nnpol);
SQ1.Perform(P1);
const AppParCurves_MultiCurve& C1 = SQ1.BezierValue();
U = 0.0;
Standard_Integer j, nbP3d = theLine.NbPoints();
gp_Pnt aP;
gp_Vec aV;
j = 1;
for (i = 1; i <= nbP3d; i++) {
C1.D1(i, U, aP, aV);
V1(j) = aV.X();
V1(j + 1) = aV.Y();
V1(j + 2) = aV.Z();
j += 3;
}
Standard_Integer firstp = Max(firstpt, lastpt - nnp + 1);
if (firstp == firstpt && lastp == lastpt) {
U = 1.0;
j = 1;
for (i = 1; i <= nbP3d; i++) {
C1.D1(i, U, aP, aV);
V2(j) = aV.X();
V2(j + 1) = aV.Y();
V2(j + 2) = aV.Z();
j += 3;
}
}
else {
AppDef_BSpParLeastSquareOfMyBSplGradientOfBSplineCompute
SQ2(theLine, firstp, lastpt, Cons, Cons, nnpol);
math_Vector P2(firstp, lastpt);
for (i = firstp; i <= lastpt; i++) P2(i) = thePars(i);
SQ2.Perform(P2);
const AppParCurves_MultiCurve& C2 = SQ2.BezierValue();
U = 1.0;
j = 1;
for (i = 1; i <= nbP3d; i++) {
C2.D1(i, U, aP, aV);
V2(j) = aV.X();
V2(j + 1) = aV.Y();
V2(j + 2) = aV.Z();
j += 3;
}
}
theTang = 0.5*(V1 + V2);
}
//======================================================================= //=======================================================================
//function : GeomAPI_PointsToBSplineSurface //function : GeomAPI_PointsToBSplineSurface
@ -125,9 +264,10 @@ GeomAPI_PointsToBSplineSurface::GeomAPI_PointsToBSplineSurface
//purpose : //purpose :
//======================================================================= //=======================================================================
void GeomAPI_PointsToBSplineSurface::Interpolate(const TColgp_Array2OfPnt& Points) void GeomAPI_PointsToBSplineSurface::Interpolate(const TColgp_Array2OfPnt& Points,
const Standard_Boolean thePeriodic)
{ {
Interpolate(Points, Approx_ChordLength); Interpolate(Points, Approx_ChordLength, thePeriodic);
} }
//======================================================================= //=======================================================================
@ -136,13 +276,14 @@ void GeomAPI_PointsToBSplineSurface::Interpolate(const TColgp_Array2OfPnt& Point
//======================================================================= //=======================================================================
void GeomAPI_PointsToBSplineSurface::Interpolate(const TColgp_Array2OfPnt& Points, void GeomAPI_PointsToBSplineSurface::Interpolate(const TColgp_Array2OfPnt& Points,
const Approx_ParametrizationType ParType) const Approx_ParametrizationType ParType,
const Standard_Boolean thePeriodic)
{ {
Standard_Integer DegMin, DegMax; Standard_Integer DegMin, DegMax;
DegMin = DegMax = 3; DegMin = DegMax = 3;
GeomAbs_Shape CC = GeomAbs_C2; GeomAbs_Shape CC = GeomAbs_C2;
Standard_Real Tol3d = -1.0; Standard_Real Tol3d = -1.0;
Init(Points, ParType, DegMin, DegMax, CC, Tol3d); Init(Points, ParType, DegMin, DegMax, CC, Tol3d, thePeriodic);
} }
@ -169,7 +310,8 @@ void GeomAPI_PointsToBSplineSurface::Init(const TColgp_Array2OfPnt& Points,
const Standard_Integer DegMin, const Standard_Integer DegMin,
const Standard_Integer DegMax, const Standard_Integer DegMax,
const GeomAbs_Shape Continuity, const GeomAbs_Shape Continuity,
const Standard_Real Tol3D) const Standard_Real Tol3D,
const Standard_Boolean thePeriodic)
{ {
Standard_Integer Imin = Points.LowerRow(); Standard_Integer Imin = Points.LowerRow();
Standard_Integer Imax = Points.UpperRow(); Standard_Integer Imax = Points.UpperRow();
@ -178,19 +320,30 @@ void GeomAPI_PointsToBSplineSurface::Init(const TColgp_Array2OfPnt& Points,
Standard_Real Tol2D = Tol3D; Standard_Real Tol2D = Tol3D;
// first approximate the V isos: // first approximate the U isos:
Standard_Integer add = 1;
if (thePeriodic)
{
add = 2;
}
AppDef_MultiLine Line(Jmax-Jmin+1); AppDef_MultiLine Line(Jmax-Jmin+1);
Standard_Integer i, j; Standard_Integer i, j;
// Standard_Real X, Y;
for (j = Jmin; j <= Jmax; j++) { for (j = Jmin; j <= Jmax; j++) {
AppDef_MultiPointConstraint MP(Imax-Imin+1, 0); AppDef_MultiPointConstraint MP(Imax-Imin+add, 0);
for (i = Imin; i <= Imax; i++) { for (i = Imin; i <= Imax; i++) {
MP.SetPoint(i, Points(i,j)); MP.SetPoint(i, Points(i,j));
} }
if (thePeriodic)
{
MP.SetPoint(Imax+1, Points(1, j));
}
Line.SetValue(j, MP); Line.SetValue(j, MP);
} }
Standard_Integer nbit = 2; Standard_Integer nbit = 2;
Standard_Boolean UseSquares = Standard_False; Standard_Boolean UseSquares = Standard_False;
if(Tol3D <= 1.e-3) UseSquares = Standard_True; if(Tol3D <= 1.e-3) UseSquares = Standard_True;
@ -229,7 +382,7 @@ void GeomAPI_PointsToBSplineSurface::Init(const TColgp_Array2OfPnt& Points,
const TColStd_Array1OfInteger& VMults = TheCurve.Multiplicities(); const TColStd_Array1OfInteger& VMults = TheCurve.Multiplicities();
Standard_Integer nbisosu = Imax-Imin+1; Standard_Integer nbisosu = Imax-Imin+add;
AppDef_MultiLine Line2(nbisosu); AppDef_MultiLine Line2(nbisosu);
for (i = 1; i <= nbisosu; i++) { for (i = 1; i <= nbisosu; i++) {
@ -247,9 +400,43 @@ void GeomAPI_PointsToBSplineSurface::Init(const TColgp_Array2OfPnt& Points,
AppDef_BSplineCompute TheComputer2 AppDef_BSplineCompute TheComputer2
(DegMin,DegMax,Tol3D,Tol2D,nbit,Standard_True,ParType,UseSquares); (DegMin,DegMax,Tol3D,Tol2D,nbit,Standard_True,ParType,UseSquares);
if (Tol3D <= 0.0) { if (Tol3D <= 0.0) {
if (thePeriodic)
{
TheComputer2.SetPeriodic(thePeriodic);
}
TheComputer2.Interpol(Line2); TheComputer2.Interpol(Line2);
} }
else { else {
if (thePeriodic && Line2.NbMultiPoints() > 2)
{
TheComputer2.SetPeriodic(thePeriodic);
//
TColStd_Array1OfReal aPars(1, Line2.NbMultiPoints());
BuildParameters(Line2, ParType, aPars);
math_Vector aTang(1, 3 * Poles.Upper());
BuildPeriodicTangent(Line2, aPars, aTang);
Standard_Integer ind = 1;
TheCurve.Curve(ind, Poles);
AppDef_MultiPointConstraint MP1(Poles.Upper(), 0);
for (j = 1; j <= Poles.Upper(); j++) {
MP1.SetPoint(j, Poles(j));
Standard_Integer k = 3 * (j - 1);
gp_Vec aT(aTang(k + 1), aTang(k + 2), aTang(k + 3));
MP1.SetTang(j, aT);
}
Line2.SetValue(ind, MP1);
//
ind = Line2.NbMultiPoints();
TheCurve.Curve(ind, Poles);
AppDef_MultiPointConstraint MP2(Poles.Upper(), 0);
for (j = 1; j <= Poles.Upper(); j++) {
MP2.SetPoint(j, Poles(j));
Standard_Integer k = 3 * (j - 1);
gp_Vec aT(aTang(k + 1), aTang(k + 2), aTang(k + 3));
MP2.SetTang(j, aT);
}
Line2.SetValue(ind, MP2);
}
TheComputer2.Perform(Line2); TheComputer2.Perform(Line2);
} }
@ -273,6 +460,10 @@ void GeomAPI_PointsToBSplineSurface::Init(const TColgp_Array2OfPnt& Points,
mySurface = new Geom_BSplineSurface(ThePoles, UKnots, VKnots, UMults, VMults, mySurface = new Geom_BSplineSurface(ThePoles, UKnots, VKnots, UMults, VMults,
UDegree, VDegree); UDegree, VDegree);
if (thePeriodic && Line2.NbMultiPoints() > 2)
{
mySurface->SetUPeriodic();
}
myIsDone = Standard_True; myIsDone = Standard_True;
} }
@ -299,7 +490,7 @@ void GeomAPI_PointsToBSplineSurface::Init(const TColgp_Array2OfPnt& Points,
Standard_Integer nbit = 2; Standard_Integer nbit = 2;
if(Tol3D <= 1.e-3) nbit = 0; if(Tol3D <= 1.e-3) nbit = 0;
// first approximate the V isos: // first approximate the U isos:
Standard_Integer NbPointJ = Jmax-Jmin+1; Standard_Integer NbPointJ = Jmax-Jmin+1;
Standard_Integer NbPointI = Imax-Imin+1; Standard_Integer NbPointI = Imax-Imin+1;
Standard_Integer i, j; Standard_Integer i, j;
@ -485,7 +676,7 @@ void GeomAPI_PointsToBSplineSurface::Init(const TColStd_Array2OfReal& ZPoints,
Standard_Real Tol2D = Tol3D; Standard_Real Tol2D = Tol3D;
// first approximate the V isos: // first approximate the U isos:
AppDef_MultiLine Line(Jmax-Jmin+1); AppDef_MultiLine Line(Jmax-Jmin+1);
math_Vector Param(Jmin, Jmax); math_Vector Param(Jmin, Jmax);
Standard_Integer i, j; Standard_Integer i, j;

105
src/GeomAPI/GeomAPI_PointsToBSplineSurface.hxx
View File

@ -41,6 +41,36 @@ class StdFail_NotDone;
//! - defining the data of the BSpline surface to be built, //! - defining the data of the BSpline surface to be built,
//! - implementing the approximation algorithm //! - implementing the approximation algorithm
//! or the interpolation algorithm, and consulting the results. //! or the interpolation algorithm, and consulting the results.
//! In fact, class contains 3 algorithms, 2 for approximation and 1
//! for interpolation.
//! First approximation algorithm is based on usual least square criterium:
//! minimization of square distance between samplimg points and result surface.
//! Second approximation algorithm uses least square criterium and additional
//! minimization of some local characteristic of surface (first, second and third
//! partial derivative), which allows managing shape of surface.
//! Interpolation algorithm produces surface, which passes through sampling points.
//!
//! There is accordance between parametrization of result surface S(U, V) and
//! indexes of array Points(i, j): first index corresponds U parameter of surface,
//! second - V parameter of surface.
//! So, points of any j-th column Points(*, j) represent any V isoline of surface,
//! points of any i-th row Point(i, *) represent any U isoline of surface.
//!
//! For each sampling point parameters U, V are calculated according to
//! type of parametrization, which can be Approx_ChordLength, Approx_Centripetal
//! or Approx_IsoParametric. Default value is Approx_ChordLength.
//! For ChordLength parametrisation U(i) = U(i-1) + P(i).Distance(P(i-1)),
//! For Centripetal type U(i) = U(i-1) + Sqrt(P(i).Distance(P(i-1))).
//! Centripetal type can get better result for irregular distances between points.
//!
//! Approximation and interpolation algorithms can build periodical surface along U
//! direction, which corresponds colums of array Points(i, j),
//! if corresponding parameter (thePeriodic, see comments below) of called
//! methods is set to True. Algorithm uses first row Points(1, *) as periodic boundary,
//! so to avoid getting wrong surface it is necessary to keep distance between
//! corresponding points of first and last rows of Points:
//! Points(1, *) != Points(Upper, *).
class GeomAPI_PointsToBSplineSurface class GeomAPI_PointsToBSplineSurface
{ {
public: public:
@ -63,8 +93,11 @@ public:
//! 1- his degree will be in the range [Degmin,Degmax] //! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least <Continuity> //! 2- his continuity will be at least <Continuity>
//! 3- the distance from the point <Points> to the //! 3- the distance from the point <Points> to the
//! BSpline will be lower to Tol3D //! BSpline will be lower to Tol3D.
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
//! Approximates a BSpline Surface passing through an //! Approximates a BSpline Surface passing through an
//! array of Points. The resulting BSpline will have //! array of Points. The resulting BSpline will have
@ -72,14 +105,22 @@ public:
//! 1- his degree will be in the range [Degmin,Degmax] //! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least <Continuity> //! 2- his continuity will be at least <Continuity>
//! 3- the distance from the point <Points> to the //! 3- the distance from the point <Points> to the
//! BSpline will be lower to Tol3D //! BSpline will be lower to Tol3D.
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
const Approx_ParametrizationType ParType,
const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
//! Approximates a BSpline Surface passing through an //! Approximates a BSpline Surface passing through an
//! array of points using variational smoothing algorithm, //! array of points using variational smoothing algorithm,
//! which tries to minimize additional criterium: //! which tries to minimize additional criterium:
//! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion //! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3,
const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2,
const Standard_Real Tol3D = 1.0e-3);
//! Approximates a BSpline Surface passing through an //! Approximates a BSpline Surface passing through an
//! array of Points. //! array of Points.
@ -97,7 +138,12 @@ public:
//! BSpline will be lower to Tol3D //! BSpline will be lower to Tol3D
//! 4- the parametrization of the surface will verify: //! 4- the parametrization of the surface will verify:
//! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) ); //! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColStd_Array2OfReal& ZPoints, const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColStd_Array2OfReal& ZPoints,
const Standard_Real X0, const Standard_Real dX,
const Standard_Real Y0, const Standard_Real dY,
const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
//! Approximates a BSpline Surface passing through an //! Approximates a BSpline Surface passing through an
//! array of Point. The resulting BSpline will have //! array of Point. The resulting BSpline will have
@ -105,22 +151,29 @@ public:
//! 1- his degree will be in the range [Degmin,Degmax] //! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least <Continuity> //! 2- his continuity will be at least <Continuity>
//! 3- the distance from the point <Points> to the //! 3- the distance from the point <Points> to the
//! BSpline will be lower to Tol3D //! BSpline will be lower to Tol3D.
Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points,
const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
//! Interpolates a BSpline Surface passing through an //! Interpolates a BSpline Surface passing through an
//! array of Point. The resulting BSpline will have //! array of Point. The resulting BSpline will have
//! the following properties: //! the following properties:
//! 1- his degree will be 3. //! 1- his degree will be 3.
//! 2- his continuity will be C2. //! 2- his continuity will be C2.
Standard_EXPORT void Interpolate (const TColgp_Array2OfPnt& Points);
Standard_EXPORT void Interpolate (const TColgp_Array2OfPnt& Points,
const Standard_Boolean thePeriodic = Standard_False);
//! Interpolates a BSpline Surface passing through an //! Interpolates a BSpline Surface passing through an
//! array of Point. The resulting BSpline will have //! array of Point. The resulting BSpline will have
//! the following properties: //! the following properties:
//! 1- his degree will be 3. //! 1- his degree will be 3.
//! 2- his continuity will be C2. //! 2- his continuity will be C2.
Standard_EXPORT void Interpolate (const TColgp_Array2OfPnt& Points, const Approx_ParametrizationType ParType);
Standard_EXPORT void Interpolate (const TColgp_Array2OfPnt& Points, const Approx_ParametrizationType ParType,
const Standard_Boolean thePeriodic = Standard_False);
//! Approximates a BSpline Surface passing through an //! Approximates a BSpline Surface passing through an
//! array of Points. //! array of Points.
@ -138,7 +191,12 @@ public:
//! BSpline will be lower to Tol3D //! BSpline will be lower to Tol3D
//! 4- the parametrization of the surface will verify: //! 4- the parametrization of the surface will verify:
//! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) ); //! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
Standard_EXPORT void Init (const TColStd_Array2OfReal& ZPoints, const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT void Init (const TColStd_Array2OfReal& ZPoints,
const Standard_Real X0, const Standard_Real dX,
const Standard_Real Y0, const Standard_Real dY,
const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
//! Interpolates a BSpline Surface passing through an //! Interpolates a BSpline Surface passing through an
//! array of Points. //! array of Points.
@ -154,7 +212,9 @@ public:
//! 2- his continuity will be C2. //! 2- his continuity will be C2.
//! 4- the parametrization of the surface will verify: //! 4- the parametrization of the surface will verify:
//! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) ); //! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
Standard_EXPORT void Interpolate (const TColStd_Array2OfReal& ZPoints, const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY);
Standard_EXPORT void Interpolate (const TColStd_Array2OfReal& ZPoints,
const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY);
//! Approximates a BSpline Surface passing through an //! Approximates a BSpline Surface passing through an
//! array of Point. The resulting BSpline will have //! array of Point. The resulting BSpline will have
@ -162,18 +222,27 @@ public:
//! 1- his degree will be in the range [Degmin,Degmax] //! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least <Continuity> //! 2- his continuity will be at least <Continuity>
//! 3- the distance from the point <Points> to the //! 3- the distance from the point <Points> to the
//! BSpline will be lower to Tol3D //! BSpline will be lower to Tol3D.
Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points,
const Approx_ParametrizationType ParType,
const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
const GeomAbs_Shape Continuity = GeomAbs_C2,
const Standard_Real Tol3D = 1.0e-3, const Standard_Boolean thePeriodic = Standard_False);
//! Approximates a BSpline Surface passing through an //! Approximates a BSpline Surface passing through an
//! array of point using variational smoothing algorithm, //! array of point using variational smoothing algorithm,
//! which tries to minimize additional criterium: //! which tries to minimize additional criterium:
//! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion //! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.
Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points,
const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3,
const Standard_Integer DegMax = 8,
const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
//! Returns the approximate BSpline Surface //! Returns the approximate BSpline Surface
Standard_EXPORT const Handle(Geom_BSplineSurface)& Surface() const; Standard_EXPORT const Handle(Geom_BSplineSurface)& Surface() const;
Standard_EXPORT operator Handle(Geom_BSplineSurface)() const; Standard_EXPORT operator Handle(Geom_BSplineSurface)() const;
Standard_EXPORT Standard_Boolean IsDone() const; Standard_EXPORT Standard_Boolean IsDone() const;

1
src/GeomFill/GeomFill_NSections.cxx
View File

@ -590,6 +590,7 @@ GeomFill_NSections::GeomFill_NSections(const TColGeom_SequenceOfCurve& NC,
Standard_Integer nbIt = 0, degmin = 2, degmax = 6; Standard_Integer nbIt = 0, degmin = 2, degmax = 6;
Standard_Boolean knownP = Nbpar > 0; Standard_Boolean knownP = Nbpar > 0;
GeomFill_AppSurf anApprox(degmin, degmax, myPres3d, myPres3d, nbIt, knownP); GeomFill_AppSurf anApprox(degmin, degmax, myPres3d, myPres3d, nbIt, knownP);
anApprox.SetContinuity(GeomAbs_C1);
Standard_Boolean SpApprox = Standard_True; Standard_Boolean SpApprox = Standard_True;
anApprox.Perform(line, section, SpApprox); anApprox.Perform(line, section, SpApprox);

7
src/GeomInt/GeomInt_TheComputeLineOfWLApprox.hxx
View File

@ -117,6 +117,12 @@ public:
//! changes the first and the last constraint points. //! changes the first and the last constraint points.
Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC); Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC);
//! Sets periodic flag.
//! If thePeriodic = Standard_True, algorith tries to build periodic
//! multicurve using corresponding C1 boundary condition for first and last multipoints.
//! Multiline must be closed.
Standard_EXPORT void SetPeriodic(const Standard_Boolean thePeriodic);
//! returns False if at a moment of the approximation, //! returns False if at a moment of the approximation,
//! the status NoApproximation has been sent by the user //! the status NoApproximation has been sent by the user
//! when more points were needed. //! when more points were needed.
@ -199,6 +205,7 @@ private:
Standard_Integer mycont; Standard_Integer mycont;
Standard_Real mylambda1; Standard_Real mylambda1;
Standard_Real mylambda2; Standard_Real mylambda2;
Standard_Boolean myPeriodic;
}; };

175
src/GeometryTest/GeometryTest_APICommands.cxx
View File

@ -286,50 +286,176 @@ static Standard_Integer grilapp(Draw_Interpretor& di, Standard_Integer n, const
static Standard_Integer surfapp(Draw_Interpretor& di, Standard_Integer n, const char** a) static Standard_Integer surfapp(Draw_Interpretor& di, Standard_Integer n, const char** a)
{ {
if ( n < 5 ) return 1; if (n < 5) return 1;
Standard_Integer i,j; Standard_Integer i, j;
Standard_Integer Nu = Draw::Atoi(a[2]); Standard_Integer Nu = Draw::Atoi(a[2]);
Standard_Integer Nv = Draw::Atoi(a[3]); Standard_Integer Nv = Draw::Atoi(a[3]);
TColgp_Array2OfPnt Points (1, Nu, 1, Nv); TColgp_Array2OfPnt Points(1, Nu, 1, Nv);
Standard_Boolean IsPeriodic = Standard_False;
Standard_Boolean RemoveLast = Standard_False;
if ( n == 5) { if (n >= 5 && n <= 6) {
Handle(Geom_Surface) Surf = DrawTrSurf::GetSurface(a[4]); Handle(Geom_Surface) Surf = DrawTrSurf::GetSurface(a[4]);
if ( Surf.IsNull()) return 1; if (Surf.IsNull()) return 1;
Standard_Real U, V, U1, V1, U2, V2; Standard_Real U, V, U1, V1, U2, V2;
Surf->Bounds( U1, U2, V1, V2); Surf->Bounds(U1, U2, V1, V2);
for ( j = 1; j <= Nv; j++) { for (j = 1; j <= Nv; j++) {
V = V1 + (j-1) * (V2-V1) / (Nv-1); V = V1 + (j - 1) * (V2 - V1) / (Nv - 1);
for ( i = 1; i <= Nu; i++) { for (i = 1; i <= Nu; i++) {
U = U1 + (i-1) * (U2-U1) / (Nu-1); U = U1 + (i - 1) * (U2 - U1) / (Nu - 1);
Points(i,j) = Surf->Value(U,V); Points(i, j) = Surf->Value(U, V);
}
}
if (n == 6)
{
Standard_Integer ip = Draw::Atoi(a[5]);
if (ip > 0) IsPeriodic = Standard_True;
}
if (IsPeriodic)
{
for (j = 1; j <= Nv; j++)
{
Standard_Real d = Points(1, j).Distance(Points(Nu, j));
if (d <= Precision::Confusion())
{
RemoveLast = Standard_True;
break;
} }
} }
} }
else if ( n >= 16) { }
else if (n >= 16) {
Standard_Integer Count = 4; Standard_Integer Count = 4;
for ( j = 1; j <= Nv; j++) { for (j = 1; j <= Nv; j++) {
for ( i = 1; i <= Nu; i++) { for (i = 1; i <= Nu; i++) {
if ( Count > n) return 1; if (Count > n) return 1;
Points(i,j) = gp_Pnt(Draw::Atof(a[Count]),Draw::Atof(a[Count+1]),Draw::Atof(a[Count+2])); Points(i, j) = gp_Pnt(Draw::Atof(a[Count]), Draw::Atof(a[Count + 1]), Draw::Atof(a[Count + 2]));
Count += 3; Count += 3;
} }
} }
} }
char name[100]; char name[100];
Standard_Integer Count = 1; Standard_Integer Count = 1;
for ( j = 1; j <= Nv; j++) { for (j = 1; j <= Nv; j++) {
for ( i = 1; i <= Nu; i++) { for (i = 1; i <= Nu; i++) {
Sprintf(name,"point_%d",Count++); Sprintf(name, "point_%d", Count++);
char* temp = name; // portage WNT char* temp = name; // portage WNT
DrawTrSurf::Set(temp,Points(i,j)); DrawTrSurf::Set(temp, Points(i, j));
} }
} }
Handle(Geom_BSplineSurface) S = GeomAPI_PointsToBSplineSurface(Points); GeomAPI_PointsToBSplineSurface anApprox;
DrawTrSurf::Set(a[1],S); if (RemoveLast)
{
TColgp_Array2OfPnt Points1(1, Nu - 1, 1, Nv);
for (j = 1; j <= Nv; j++)
{
for (i = 1; i <= Nu - 1; i++) {
Points1(i, j) = Points(i, j);
}
}
anApprox.Init(Points1, Approx_ChordLength, 3, 8, GeomAbs_C2, 1.e-3, IsPeriodic);
}
else
{
anApprox.Init(Points, Approx_ChordLength, 3, 8, GeomAbs_C2, 1.e-3, IsPeriodic);
}
if (anApprox.IsDone())
{
Handle(Geom_BSplineSurface) S = anApprox.Surface();
DrawTrSurf::Set(a[1], S);
di << a[1]; di << a[1];
}
return 0;
}
//=======================================================================
//function : surfint
//purpose :
//=======================================================================
static Standard_Integer surfint(Draw_Interpretor& di, Standard_Integer n, const char** a)
{
if (n < 5) return 1;
Handle(Geom_Surface) Surf = DrawTrSurf::GetSurface(a[2]);
if (Surf.IsNull()) return 1;
Standard_Integer i, j;
Standard_Integer Nu = Draw::Atoi(a[3]);
Standard_Integer Nv = Draw::Atoi(a[4]);
TColgp_Array2OfPnt Points(1, Nu, 1, Nv);
Standard_Real U, V, U1, V1, U2, V2;
Surf->Bounds(U1, U2, V1, V2);
for (j = 1; j <= Nv; j++) {
V = V1 + (j - 1) * (V2 - V1) / (Nv - 1);
for (i = 1; i <= Nu; i++) {
U = U1 + (i - 1) * (U2 - U1) / (Nu - 1);
Points(i, j) = Surf->Value(U, V);
}
}
char name[100];
Standard_Integer Count = 1;
for (j = 1; j <= Nv; j++) {
for (i = 1; i <= Nu; i++) {
Sprintf(name, "point_%d", Count++);
char* temp = name; // portage WNT
DrawTrSurf::Set(temp, Points(i, j));
}
}
Standard_Boolean IsPeriodic = Standard_False;
if (n > 5)
{
Standard_Integer ip = Draw::Atoi(a[5]);
if (ip > 0) IsPeriodic = Standard_True;
}
Standard_Boolean RemoveLast = Standard_False;
if (IsPeriodic)
{
for (j = 1; j <= Nv; j++)
{
Standard_Real d = Points(1, j).Distance(Points(Nu, j));
if (d <= Precision::Confusion())
{
RemoveLast = Standard_True;
break;
}
}
}
const Approx_ParametrizationType ParType = Approx_ChordLength;
GeomAPI_PointsToBSplineSurface anApprox;
if (RemoveLast)
{
TColgp_Array2OfPnt Points1(1, Nu-1, 1, Nv);
for (j = 1; j <= Nv; j++)
{
for (i = 1; i <= Nu-1; i++) {
Points1(i, j) = Points(i, j);
}
}
anApprox.Interpolate(Points1, ParType, IsPeriodic);
}
else
{
anApprox.Interpolate(Points, ParType, IsPeriodic);
}
if (anApprox.IsDone())
{
Handle(Geom_BSplineSurface) S = anApprox.Surface();
DrawTrSurf::Set(a[1], S);
di << a[1];
}
else
{
di << "Interpolation not done \n";
}
return 0; return 0;
} }
@ -634,6 +760,11 @@ void GeometryTest::APICommands(Draw_Interpretor& theCommands)
theCommands.Add("surfapp","surfapp result nbupoint nbvpoint x y z ....", theCommands.Add("surfapp","surfapp result nbupoint nbvpoint x y z ....",
__FILE__, __FILE__,
surfapp); surfapp);
theCommands.Add("surfint", "surfint result surf nbupoint nbvpoint [uperiodic]",
__FILE__,
surfint);
theCommands.Add("grilapp", theCommands.Add("grilapp",
"grilapp result nbupoint nbvpoint X0 dX Y0 dY z11 z12 .. z1nu .... ", "grilapp result nbupoint nbvpoint X0 dX Y0 dY z11 z12 .. z1nu .... ",
__FILE__,grilapp); __FILE__,grilapp);

1
src/QABugs/QABugs_17.cxx
View File

@ -779,7 +779,6 @@ static Standard_Integer OCC606 ( Draw_Interpretor& di, Standard_Integer n, const
{ {
OCC_CATCH_SIGNALS OCC_CATCH_SIGNALS
GeomFill_NSections b_surface1(n_curves1, np); GeomFill_NSections b_surface1(n_curves1, np);
b_surface1.ComputeSurface();
Handle(Geom_BSplineSurface) result_surf1 = b_surface1.BSplineSurface(); Handle(Geom_BSplineSurface) result_surf1 = b_surface1.BSplineSurface();
if (!result_surf1.IsNull()) if (!result_surf1.IsNull())
{ {

2
tests/bugs/modalg_6/bug26841_1
View File

@ -34,7 +34,7 @@ checknbshapes result -ref ${nbshapes_expected} -t -m "SECTION"
regexp {Tolerance +MAX=([-0-9.+eE]+)} [tolerance result] full MaxTolerance regexp {Tolerance +MAX=([-0-9.+eE]+)} [tolerance result] full MaxTolerance
puts "MaxTolerance=$MaxTolerance" puts "MaxTolerance=$MaxTolerance"
set expected_MaxTolerance 4.8861510463442802e-005 set expected_MaxTolerance 5.0e-006
set tol_abs_MaxTolerance 0.0 set tol_abs_MaxTolerance 0.0
set tol_rel_MaxTolerance 0.01 set tol_rel_MaxTolerance 0.01
checkreal "MaxTolerance" ${MaxTolerance} ${expected_MaxTolerance} ${tol_abs_MaxTolerance} ${tol_rel_MaxTolerance} checkreal "MaxTolerance" ${MaxTolerance} ${expected_MaxTolerance} ${tol_abs_MaxTolerance} ${tol_rel_MaxTolerance}

30
tests/bugs/modalg_7/bug30621 Normal file
View File

@ -0,0 +1,30 @@
puts "========"
puts "OCC30621"
puts "========"
puts "Implementation of building periodical surfaces by GeomAPI_PointsToBSplineSurface"
puts "========"
cylinder cc 1
trimv cc cc 0 1
surfint ri cc 11 3 1
surfapp ra 11 3 cc 1
if { [regexp "Continuity Status : C1" [surfaceCcontinuity 1 ri 0 .5 ri 1 .5]] == 1 } {
puts "OK : Good result of interpolation"
} else {
puts "Error : periodic interpolation fails"
}
if { [regexp "Continuity Status : C1" [surfaceCcontinuity 1 ra 0 .5 ra 1 .5]] == 1 } {
puts "OK : Good result of approximation"
} else {
puts "Error : periodic approximation fails"
}
checkview -display ri -with ra -2d -path ${imagedir}/${test_image}.png

2
tests/lowalgos/intss/bug24418_2
View File

@ -1,4 +1,4 @@
puts "TODO OCC24418 ALL: Error in ii_1: T=" ##puts "TODO OCC24418 ALL: Error in ii_1: T="
puts "========" puts "========"
puts "OCC24418" puts "OCC24418"