mirror of https://github.com/CGAL/cgal
remove color from doc and add eps for latex version
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@ -1335,6 +1335,7 @@ Circular_kernel_3/demo/Circular_kernel_3/images/d_solid_b.gif -text svneol=unset
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Circular_kernel_3/demo/Circular_kernel_3/images/d_wire_b.gif -text svneol=unset#image/gif
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Circular_kernel_3/demo/Circular_kernel_3/images/d_wire_b.gif -text svneol=unset#image/gif
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Circular_kernel_3/doc_tex/Circular_kernel_3/def_circles_extreme_pt.eps -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/def_circles_extreme_pt.eps -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/def_circles_extreme_pt.pdf -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/def_circles_extreme_pt.pdf -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/def_meridian.eps -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/def_meridian.pdf -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/def_meridian.pdf -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/segment_sphere_intersection.png -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/segment_sphere_intersection.png -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/segment_sphere_intersection_detail.png -text
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Circular_kernel_3/doc_tex/Circular_kernel_3/segment_sphere_intersection_detail.png -text
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@ -40,7 +40,6 @@ fundamental functionalities like intersection, comparisons, inclusion,
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etc. More might be provided in the future, as long as only algebraic
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etc. More might be provided in the future, as long as only algebraic
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numbers of degree two are used.
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numbers of degree two are used.
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{\color{cyan} %TAG SKOS
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\paragraph{Functionalities relative to a sphere}~
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\paragraph{Functionalities relative to a sphere}~
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%\label{section-def-on-sphere}
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%\label{section-def-on-sphere}
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@ -70,9 +69,7 @@ $(\theta,z)$.
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% the comparison of $\phi$-coordinates is totally equivalent to the
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% the comparison of $\phi$-coordinates is totally equivalent to the
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% comparison of $z$-coordinates, and that $z$-coordinates are already
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% comparison of $z$-coordinates, and that $z$-coordinates are already
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% used for the general objects in 3D.
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% used for the general objects in 3D.
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}%TAG SKOS
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{\color{magenta} %TAG SKOS
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\textbf{Definition of a meridian.}
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\textbf{Definition of a meridian.}
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Given a sphere and its associated cylindrical coordinate system, a meridian of that
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Given a sphere and its associated cylindrical coordinate system, a meridian of that
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sphere is a circular arc consisting of the points having the same theta-coordinate
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sphere is a circular arc consisting of the points having the same theta-coordinate
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@ -84,7 +81,6 @@ direction of $M$ and the two poles. The sense of $M$ disambiguates the choice am
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pair of meridians thus defined.
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pair of meridians thus defined.
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On Fig.~\ref{fig-def-meridian}, the normal vectors $n_0$ and $n_1$ define
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On Fig.~\ref{fig-def-meridian}, the normal vectors $n_0$ and $n_1$ define
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two meridians of $S$: the circular arcs $A_0$ and $A_1$ respectively.
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two meridians of $S$: the circular arcs $A_0$ and $A_1$ respectively.
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}%TAG SKOS
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\begin{ccTexOnly}
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\begin{ccTexOnly}
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\begin{figure}[ht!]
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\begin{figure}[ht!]
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@ -99,7 +95,6 @@ The $\theta$-coordinates of meridians $A_0$ and $A_1$ are $\theta_0$ and $\theta
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\end{figure}
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\end{figure}
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\end{ccTexOnly}
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\end{ccTexOnly}
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{\color{cyan} %TAG SKOS
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\textbf{Types of circles on a sphere.}
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\textbf{Types of circles on a sphere.}
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Given a sphere, a circle on that sphere is termed
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Given a sphere, a circle on that sphere is termed
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\textit{polar} if it goes through only one pole, \textit{bipolar} if
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\textit{polar} if it goes through only one pole, \textit{bipolar} if
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@ -166,7 +161,6 @@ circular arc on a threaded circle is always $\theta$-monotone, and an
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arc on a polar or normal circle is $\theta$-monotone if it does not
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arc on a polar or normal circle is $\theta$-monotone if it does not
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contain a $\theta$-extremal point, unless it is an endpoint. No such
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contain a $\theta$-extremal point, unless it is an endpoint. No such
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arc is defined on a bipolar circle.
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arc is defined on a bipolar circle.
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}%TAG SKOS
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\section{Software Design}
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\section{Software Design}
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@ -213,14 +207,12 @@ The second example illustrates the use of a functor.
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\ccIncludeExampleCode{Circular_kernel_3/functor_has_on_3.cpp}
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\ccIncludeExampleCode{Circular_kernel_3/functor_has_on_3.cpp}
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{\color{cyan} %TAG SKOS
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The third example illustrates the use of a functor on objects on the
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The third example illustrates the use of a functor on objects on the
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same sphere. The intersection points of two circles on
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same sphere. The intersection points of two circles on
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the same sphere are computed and their cylindrical coordinates are
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the same sphere are computed and their cylindrical coordinates are
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then compared.
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then compared.
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\ccIncludeExampleCode{Circular_kernel_3/functor_compare_theta_3.cpp}
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\ccIncludeExampleCode{Circular_kernel_3/functor_compare_theta_3.cpp}
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} %TAG SKOS
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\section{Design and Implementation History}
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\section{Design and Implementation History}
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@ -231,13 +223,11 @@ choices of design.
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Julien Hazebrouck and Damien Leroy participated in a first
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Julien Hazebrouck and Damien Leroy participated in a first
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prototype.
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prototype.
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{\color{cyan} %TAG SKOS
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The first version of the package was co-authored by Pedro Machado
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The first version of the package was co-authored by Pedro Machado
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Manh\~{a}es de Castro and Monique Teillaud, and integrated in CGAL
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Manh\~{a}es de Castro and Monique Teillaud, and integrated in CGAL
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3.4. Fr\'ed\'eric Cazals and S\'ebastien Loriot extended the
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3.4. Fr\'ed\'eric Cazals and S\'ebastien Loriot extended the
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package by providing functionalities restricted on a given sphere
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package by providing functionalities restricted on a given sphere
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\cite{cclt-dc3sk-08}.
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\cite{cclt-dc3sk-08}.
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}%TAG SKOS
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Sylvain Pion is acknowledged for helpful discussions.
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Sylvain Pion is acknowledged for helpful discussions.
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@ -0,0 +1,699 @@
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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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|
||||||
|
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|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
ee9cda6adfa3b2c16927b0a66df8d8f92766f780002a24bfab46c066cc1dc7a8
|
||||||
|
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|
||||||
|
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
|
||||||
|
cleartomark
|
||||||
|
%%EndResource
|
||||||
|
/F15 /PJCRWE+CMR17 findfont definefont pop
|
||||||
|
%%BeginResource: font EQHNIV+CMR12
|
||||||
|
%!PS-AdobeFont-1.1: CMR12 1.0
|
||||||
|
%%CreationDate: 1991 Aug 20 16:38:05
|
||||||
|
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
|
||||||
|
11 dict begin
|
||||||
|
/FontInfo 7 dict dup begin
|
||||||
|
/version (1.0) readonly def
|
||||||
|
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
|
||||||
|
/FullName (CMR12) readonly def
|
||||||
|
/FamilyName (Computer Modern) readonly def
|
||||||
|
/Weight (Medium) readonly def
|
||||||
|
/ItalicAngle 0 def
|
||||||
|
/isFixedPitch false def
|
||||||
|
end readonly def
|
||||||
|
/FontName /EQHNIV+CMR12 def
|
||||||
|
/PaintType 0 def
|
||||||
|
/FontType 1 def
|
||||||
|
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
|
||||||
|
/Encoding 256 array
|
||||||
|
0 1 255 {1 index exch /.notdef put} for
|
||||||
|
dup 49 /one put
|
||||||
|
dup 48 /zero put
|
||||||
|
readonly def
|
||||||
|
/FontBBox{-34 -251 988 750}readonly def
|
||||||
|
currentdict end
|
||||||
|
currentfile eexec
|
||||||
|
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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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|
||||||
|
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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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|
||||||
|
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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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|
||||||
|
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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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|
||||||
|
cleartomark
|
||||||
|
%%EndResource
|
||||||
|
/F16 /EQHNIV+CMR12 findfont definefont pop
|
||||||
|
%%BeginResource: font YBZUJS+CMMI12
|
||||||
|
%!PS-AdobeFont-1.1: CMMI12 1.100
|
||||||
|
%%CreationDate: 1996 Jul 27 08:57:55
|
||||||
|
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
|
||||||
|
11 dict begin
|
||||||
|
/FontInfo 7 dict dup begin
|
||||||
|
/version (1.100) readonly def
|
||||||
|
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
|
||||||
|
/FullName (CMMI12) readonly def
|
||||||
|
/FamilyName (Computer Modern) readonly def
|
||||||
|
/Weight (Medium) readonly def
|
||||||
|
/ItalicAngle -14.04 def
|
||||||
|
/isFixedPitch false def
|
||||||
|
end readonly def
|
||||||
|
/FontName /YBZUJS+CMMI12 def
|
||||||
|
/PaintType 0 def
|
||||||
|
/FontType 1 def
|
||||||
|
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
|
||||||
|
/Encoding 256 array
|
||||||
|
0 1 255 {1 index exch /.notdef put} for
|
||||||
|
dup 65 /A put
|
||||||
|
dup 80 /P put
|
||||||
|
dup 83 /S put
|
||||||
|
dup 99 /c put
|
||||||
|
dup 110 /n put
|
||||||
|
dup 18 /theta put
|
||||||
|
dup 120 /x put
|
||||||
|
dup 121 /y put
|
||||||
|
dup 122 /z put
|
||||||
|
readonly def
|
||||||
|
/FontBBox{-30 -250 1026 750}readonly def
|
||||||
|
currentdict end
|
||||||
|
currentfile eexec
|
||||||
|
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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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|
||||||
|
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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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|
||||||
|
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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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|
||||||
|
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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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||||||
|
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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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|
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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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|
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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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||||||
|
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||||||
|
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|
||||||
|
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|
||||||
|
0d5bcc60ddf903fba881f1aff7717b1399ad5fe510278db286840957070a2813
|
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||||||
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%30DIOgU0NY7,sO+?5o+MhU#ZMh>n+d4=Ai-Hqu='KQlM,5^^2&R3]]nB2UW2:>h3CV@O'1kY9_2
|
||||||
|
%PpIZoJH0JPaBQK7Udn__4)C56^dlG&6Ia+=>gD'VW*IhAY(&C1'6-1NG\h7'`%V$,LiGc8Ga!!Z
|
||||||
|
%[m?QfW@-j3Z6C!61\jGt"cAcH[d`e#%QOqlrF%%fQMLhE2jGJtG/Q`KYVn46lKr)P@Xi9+Fc6ps
|
||||||
|
%9K$Q+^8QEi3ClF>Y\Q.[2iNX?"PI2DZ;5,Ar\a_:/VAaR2^)9<I0(S36S*Fmqu0%'&@02f:+V%B
|
||||||
|
%d\HGc?4ADMeARH"ot2!`i#TQcb4`8iMXFrHa_8&@SA>>s^&),o6Y$csL"o:$ARq6dZni"\pGb3L
|
||||||
|
%]MQmf>pPNDoT;4@N;2Z3Z3\`J#I7I7X$s_'N^WC0nh9T\P`A\N3[Ja=#J\9.*\NG)bM`$2,,-'1
|
||||||
|
%MoPB0!%_TkD`a'<2XLO70g3Q1+-7UHYQ#RIINl.fTMlNDWDakgr?5nP:n/-smpk=/#c*rXA?U&b
|
||||||
|
%56a;!9d(Upc[5F^a7Kf^]H*R2khfiib"7l<r*SsOTE;ja8j\g![Q3W>KW`ZI,SPLU+K9<N=DE`&
|
||||||
|
%bI27OmeH/6<AH%-OY\OTH6O\gipS"iL94o<ah&(5E59BTTV8\UT0>@kI`tTuJktOs1IUbI>aPV^
|
||||||
|
%Rh1`R*CNE;`8OPAVC+T]qV5oX%+p??S>JHV=_.VHo/NiNE0;,fXIgSsT$l's&G4O.!sj3mMJ#s_
|
||||||
|
%aFqJ<J*fOhd!?7A)YN1Y1K,PEh1(4Gf7V6V_#1A'qXjt:@SL5a,,X9`8!S9tF\g=ZqC"n$2%j'C
|
||||||
|
%jQuA=dR';L(<L/?9Pc7`o83,2hN((A*\M`+N5W,KSuL:fV`d7fQXIZDh<"HEg_cbZG62Aci)am6
|
||||||
|
%US`VQR/I)HKucF'NI+&1RrXZh&oYjJ!YMl^ET?2!*A'<f1pKo(Bf+AMShfHX#^K2'jDlfJ@]W;<
|
||||||
|
%f@CM=$Y(Z:j:b3LqMl1YG$sdMH.A0iAJ>Ke/gkA7,8:)]W!>qm!?/6m8:I3Za1pC_.9IPcX!HuV
|
||||||
|
%2BeJBGG;#qV?&[j0O'Z5&st23*^auqBmGJ2-A_TXY9V/OgZH'En4pWP:b*F2-]E+'O^Du-c8K1(
|
||||||
|
%7`:%'i2AnWK'WY-)M@-<^><`lk[(t!)g`g"EW~>
|
||||||
|
%%EndIpeXml
|
||||||
|
%%Trailer
|
||||||
|
end
|
||||||
|
%%EOF
|
||||||
|
|
@ -130,7 +130,6 @@ and $z$-coordinates.}
|
||||||
|
|
||||||
\end{ccRefFunctionObjectConcept}
|
\end{ccRefFunctionObjectConcept}
|
||||||
|
|
||||||
{\color{cyan} %TAG SKOS
|
|
||||||
\begin{ccRefFunctionObjectConcept}{SphericalKernel::CompareTheta_3}
|
\begin{ccRefFunctionObjectConcept}{SphericalKernel::CompareTheta_3}
|
||||||
|
|
||||||
\ccCreationVariable{fo}
|
\ccCreationVariable{fo}
|
||||||
|
|
@ -143,13 +142,11 @@ An object \ccVar\ of this type must provide:
|
||||||
\ccMemberFunction{Comparison_result operator()
|
\ccMemberFunction{Comparison_result operator()
|
||||||
(const SphericalKernel::Circular_arc_point_3 &p,
|
(const SphericalKernel::Circular_arc_point_3 &p,
|
||||||
const SphericalKernel::Circular_arc_point_3 &q );}
|
const SphericalKernel::Circular_arc_point_3 &q );}
|
||||||
{Compares the $\theta$-coordinates of $p$ and $q$ in the cylindrical coordinate system relative to {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_theta_3_object}.}%TAG SKOS
|
{Compares the $\theta$-coordinates of $p$ and $q$ in the cylindrical coordinate system relative to the context sphere used by the function \ccc{SphericalKernel::compare_theta_3_object}.
|
||||||
\ccPrecond{\ccc{p} and \ccc{q} lie on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_theta_3_object}}, but do not coincide with its poles.}
|
\ccPrecond{\ccc{p} and \ccc{q} lie on the context sphere used by the function \ccc{SphericalKernel::compare_theta_3_object}, but do not coincide with its poles.}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
{\color{magenta} %TAG SKOS
|
|
||||||
|
|
||||||
\ccMemberFunction{Comparison_result operator()
|
\ccMemberFunction{Comparison_result operator()
|
||||||
(const SphericalKernel::Circular_arc_point_3 &p,
|
(const SphericalKernel::Circular_arc_point_3 &p,
|
||||||
const SphericalKernel::Vector_3 &m );}
|
const SphericalKernel::Vector_3 &m );}
|
||||||
|
|
@ -167,7 +164,6 @@ An object \ccVar\ of this type must provide:
|
||||||
in the cylindrical coordinate system relative to the context sphere used by the function \ccc{SphericalKernel::compare_theta_3_object}.
|
in the cylindrical coordinate system relative to the context sphere used by the function \ccc{SphericalKernel::compare_theta_3_object}.
|
||||||
$m1 \neq (0,0,0)$, $m2 \neq (0,0,0)$ and the $z$-coordinate of $m1$ and $m2$ is $0$.}
|
$m1 \neq (0,0,0)$, $m2 \neq (0,0,0)$ and the $z$-coordinate of $m1$ and $m2$ is $0$.}
|
||||||
|
|
||||||
} %TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
\ccSeeAlso
|
\ccSeeAlso
|
||||||
|
|
@ -197,8 +193,8 @@ An object \ccVar\ of this type must provide:
|
||||||
(const SphericalKernel::Circular_arc_point_3 &p,
|
(const SphericalKernel::Circular_arc_point_3 &p,
|
||||||
const SphericalKernel::Circular_arc_point_3 &q );}
|
const SphericalKernel::Circular_arc_point_3 &q );}
|
||||||
{Compares $p$ and $q$ according to the lexicographic ordering on $\theta$- and $z$-coordinates
|
{Compares $p$ and $q$ according to the lexicographic ordering on $\theta$- and $z$-coordinates
|
||||||
in the cylindrical coordinate system relative to {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_theta_z_3_object}.}%TAG SKOS
|
in the cylindrical coordinate system relative to the context sphere used by the function \ccc{SphericalKernel::compare_theta_z_3_object}.
|
||||||
\ccPrecond{\ccc{p} and \ccc{q} lie on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_theta_z_3_object}}, but do not coincide with its poles.}
|
\ccPrecond{\ccc{p} and \ccc{q} lie on the context sphere used by the function \ccc{SphericalKernel::compare_theta_z_3_object}, but do not coincide with its poles.}
|
||||||
}
|
}
|
||||||
|
|
||||||
\ccSeeAlso
|
\ccSeeAlso
|
||||||
|
|
@ -224,7 +220,6 @@ An object \ccVar\ of this type must provide:
|
||||||
% {Constructs a functor \ccVar\ to compare the position of objects lying on \ccc{sphere} along a given meridian.}
|
% {Constructs a functor \ccVar\ to compare the position of objects lying on \ccc{sphere} along a given meridian.}
|
||||||
|
|
||||||
|
|
||||||
{\color{magenta} %TAG SKOS
|
|
||||||
\ccMemberFunction{Comparison_result operator()
|
\ccMemberFunction{Comparison_result operator()
|
||||||
( const SphericalKernel::Circular_arc_3& a0,
|
( const SphericalKernel::Circular_arc_3& a0,
|
||||||
const SphericalKernel::Circular_arc_3& a1,
|
const SphericalKernel::Circular_arc_3& a1,
|
||||||
|
|
@ -232,18 +227,18 @@ An object \ccVar\ of this type must provide:
|
||||||
{
|
{
|
||||||
compares the $z$-coordinates of the two intersections points of $a0$ and $a1$ with the meridian defined by $m$ (see section \ref{section-SK-objects}).
|
compares the $z$-coordinates of the two intersections points of $a0$ and $a1$ with the meridian defined by $m$ (see section \ref{section-SK-objects}).
|
||||||
\ccPrecond{
|
\ccPrecond{
|
||||||
\ccc{a0} and \ccc{a1} lie on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_z_at_theta_3_object}.} %TAG SKOS
|
\ccc{a0} and \ccc{a1} lie on the context sphere used by the function \ccc{SphericalKernel::compare_z_at_theta_3_object}.
|
||||||
$m \neq (0,0,0)$ and the $z$-coordinate of $m$ is $0$.
|
$m \neq (0,0,0)$ and the $z$-coordinate of $m$ is $0$.
|
||||||
Arcs $a0$ and $a1$ are $\theta$-monotone and both intersected by the meridian defined by $m$ (see section \ref{section-SK-objects}).}}
|
Arcs $a0$ and $a1$ are $\theta$-monotone and both intersected by the meridian defined by $m$ (see section \ref{section-SK-objects}).}}
|
||||||
} %TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
\ccMemberFunction{Comparison_result operator()
|
\ccMemberFunction{Comparison_result operator()
|
||||||
( const SphericalKernel::Circular_arc_point_3& p,
|
( const SphericalKernel::Circular_arc_point_3& p,
|
||||||
const SphericalKernel::Circular_arc_3& a);}
|
const SphericalKernel::Circular_arc_3& a);}
|
||||||
{given a meridian anchored at the poles of {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_z_at_theta_3_object}}, and passing through point $p$,
|
{given a meridian anchored at the poles of the context sphere used by the function \ccc{SphericalKernel::compare_z_at_theta_3_object}, and passing through point $p$,
|
||||||
compares the $z$-coordinate of point $p$ and that of the intersection of the meridian with $a$.
|
compares the $z$-coordinate of point $p$ and that of the intersection of the meridian with $a$.
|
||||||
\ccPrecond{\ccc{a} and \ccc{p} lie on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_z_at_theta_3_object}},
|
\ccPrecond{\ccc{a} and \ccc{p} lie on the context sphere used by the function \ccc{SphericalKernel::compare_z_at_theta_3_object},
|
||||||
arc $a$ is $\theta$-monotone and the meridian passing through $p$ intersects arc $a$.}}
|
arc $a$ is $\theta$-monotone and the meridian passing through $p$ intersects arc $a$.}}
|
||||||
|
|
||||||
\ccSeeAlso
|
\ccSeeAlso
|
||||||
|
|
@ -267,10 +262,10 @@ An object \ccVar\ of this type must provide:
|
||||||
const SphericalKernel::Circular_arc_3& a1,
|
const SphericalKernel::Circular_arc_3& a1,
|
||||||
const SphericalKernel::Circular_arc_point_3 &p);}
|
const SphericalKernel::Circular_arc_point_3 &p);}
|
||||||
{Compares the $z$-coordinates of the intersection points of both arcs
|
{Compares the $z$-coordinates of the intersection points of both arcs
|
||||||
with a meridian anchored at the poles of {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_z_to_right_3_object}}, at a $\theta$-coordinate
|
with a meridian anchored at the poles of the context sphere used by the function \ccc{SphericalKernel::compare_z_to_right_3_object}, at a $\theta$-coordinate
|
||||||
infinitesimally greater that the $\theta$-coordinate of point $p$.
|
infinitesimally greater that the $\theta$-coordinate of point $p$.
|
||||||
\ccPrecond{
|
\ccPrecond{
|
||||||
\ccc{a0} and \ccc{a1} lie on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::compare_z_to_right_3_object}},
|
\ccc{a0} and \ccc{a1} lie on the context sphere used by the function \ccc{SphericalKernel::compare_z_to_right_3_object},
|
||||||
\ccc{a0} and \ccc{a1} are $\theta$-monotone, $p$ lies on \ccc{a0} and \ccc{a1} and is not a $\theta$-extremal
|
\ccc{a0} and \ccc{a1} are $\theta$-monotone, $p$ lies on \ccc{a0} and \ccc{a1} and is not a $\theta$-extremal
|
||||||
point of the supporting circle of \ccc{a0} or \ccc{a1}.}}
|
point of the supporting circle of \ccc{a0} or \ccc{a1}.}}
|
||||||
|
|
||||||
|
|
@ -281,6 +276,6 @@ point of the supporting circle of \ccc{a0} or \ccc{a1}.}}
|
||||||
\ccRefIdfierPage{SphericalKernel::CompareZAtTheta_3}
|
\ccRefIdfierPage{SphericalKernel::CompareZAtTheta_3}
|
||||||
|
|
||||||
\end{ccRefFunctionObjectConcept}
|
\end{ccRefFunctionObjectConcept}
|
||||||
} %TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -20,7 +20,6 @@ A model \ccVar\ of this type must provide:
|
||||||
|
|
||||||
\end{ccRefFunctionObjectConcept}
|
\end{ccRefFunctionObjectConcept}
|
||||||
|
|
||||||
{\color{cyan} %TAG SKOS
|
|
||||||
\begin{ccRefFunctionObjectConcept}{SphericalKernel::MakeThetaMonotone_3}
|
\begin{ccRefFunctionObjectConcept}{SphericalKernel::MakeThetaMonotone_3}
|
||||||
|
|
||||||
\ccCreationVariable{fo}
|
\ccCreationVariable{fo}
|
||||||
|
|
@ -37,13 +36,13 @@ A model \ccVar\ of this concept must provide:
|
||||||
(const SphericalKernel::Circular_arc_3 &a,OutputIterator res);}
|
(const SphericalKernel::Circular_arc_3 &a,OutputIterator res);}
|
||||||
{
|
{
|
||||||
Copies in the output iterator the results of the split of arc $a$ at the $\theta$-extremal
|
Copies in the output iterator the results of the split of arc $a$ at the $\theta$-extremal
|
||||||
point(s) of its supporting circle relatively to {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object}} % TAG SKOS.
|
point(s) of its supporting circle relatively to the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object}
|
||||||
(Refer to section~\ref{section-SK-objects} for the definition of these points.)
|
(Refer to section~\ref{section-SK-objects} for the definition of these points.)
|
||||||
The output iterator may contain no arc (if the supporting circle is a bipolar circle),
|
The output iterator may contain no arc (if the supporting circle is a bipolar circle),
|
||||||
one arc (if $a$ is already $\theta$-monotone), two arcs (if only one $\theta$-extremal point is on $a$), or
|
one arc (if $a$ is already $\theta$-monotone), two arcs (if only one $\theta$-extremal point is on $a$), or
|
||||||
three arcs (if two $\theta$-extremal points are on $a$).
|
three arcs (if two $\theta$-extremal points are on $a$).
|
||||||
\ccPrecond{\ccc{a} lies on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object}},
|
\ccPrecond{\ccc{a} lies on the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object},
|
||||||
and the supporting circle of \ccc{a} is not bipolar. } % TAG SKOS
|
and the supporting circle of \ccc{a} is not bipolar. }
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
|
|
@ -52,7 +51,7 @@ and the supporting circle of \ccc{a} is not bipolar. } % TAG SKOS
|
||||||
OutputIterator operator()
|
OutputIterator operator()
|
||||||
(const SphericalKernel::Circle_3 &c,OutputIterator res);}
|
(const SphericalKernel::Circle_3 &c,OutputIterator res);}
|
||||||
{Copies in the output iterator the results of the split of circle $c$ at its $\theta$-extremal
|
{Copies in the output iterator the results of the split of circle $c$ at its $\theta$-extremal
|
||||||
point(s) relatively to {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object}.} % TAG SKOS
|
point(s) relatively to the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object}.
|
||||||
(Refer to section~\ref{section-SK-objects} for the definition of these points.)
|
(Refer to section~\ref{section-SK-objects} for the definition of these points.)
|
||||||
The output iterator may contain no arc (if the circle is bipolar),
|
The output iterator may contain no arc (if the circle is bipolar),
|
||||||
one arc (if the circle is polar or threaded), or two arcs (if the circle is normal).
|
one arc (if the circle is polar or threaded), or two arcs (if the circle is normal).
|
||||||
|
|
@ -69,8 +68,8 @@ $(a>0) || (a==0) \&\& (b>0) || (a==0)\&\&(b==0)\&\&(c>0)$.
|
||||||
For a threaded circle, the arc returned the one built using the full circle.
|
For a threaded circle, the arc returned the one built using the full circle.
|
||||||
|
|
||||||
For a polar circle, the arc returned is the full circle, the source and target correspond to the pole the circle goes through.
|
For a polar circle, the arc returned is the full circle, the source and target correspond to the pole the circle goes through.
|
||||||
\ccPrecond{\ccc{c} lies on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object}},
|
\ccPrecond{\ccc{c} lies on the context sphere used by the function \ccc{SphericalKernel::make_theta_monotone_3_object},
|
||||||
and \ccc{c} is not bipolar.} % TAG SKOS
|
and \ccc{c} is not bipolar.}
|
||||||
}
|
}
|
||||||
|
|
||||||
\ccSeeAlso
|
\ccSeeAlso
|
||||||
|
|
@ -78,7 +77,7 @@ and \ccc{c} is not bipolar.} % TAG SKOS
|
||||||
\ccRefIdfierPage{SphericalKernel::IsThetaMonotone_3}
|
\ccRefIdfierPage{SphericalKernel::IsThetaMonotone_3}
|
||||||
|
|
||||||
\end{ccRefFunctionObjectConcept}
|
\end{ccRefFunctionObjectConcept}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -179,7 +179,6 @@ An object \ccVar\ of this type must provide:
|
||||||
\end{ccRefFunctionObjectConcept}
|
\end{ccRefFunctionObjectConcept}
|
||||||
|
|
||||||
|
|
||||||
{\color{cyan}%TAG SKOS
|
|
||||||
\begin{ccRefFunctionObjectConcept}{SphericalKernel::IsThetaMonotone_3}
|
\begin{ccRefFunctionObjectConcept}{SphericalKernel::IsThetaMonotone_3}
|
||||||
|
|
||||||
\ccCreationVariable{fo}
|
\ccCreationVariable{fo}
|
||||||
|
|
@ -192,11 +191,11 @@ An object \ccVar\ of this type must provide:
|
||||||
\ccMemberFunction{bool operator()
|
\ccMemberFunction{bool operator()
|
||||||
(const SphericalKernel::Circular_arc_3 &a);}
|
(const SphericalKernel::Circular_arc_3 &a);}
|
||||||
{Tests whether the arc $a$ is $\theta$-monotone, i.e. the intersection of
|
{Tests whether the arc $a$ is $\theta$-monotone, i.e. the intersection of
|
||||||
any meridian anchored at the poles of {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::is_theta_monotone_3_object}} % TAG SKOS
|
any meridian anchored at the poles of the context sphere used by the function \ccc{SphericalKernel::is_theta_monotone_3_object}
|
||||||
and the arc $a$ is reduced to at most one point in general, and two points if a pole of that sphere is
|
and the arc $a$ is reduced to at most one point in general, and two points if a pole of that sphere is
|
||||||
an endpoint of \ccc{a}. Note that a bipolar circle has no such arcs.
|
an endpoint of \ccc{a}. Note that a bipolar circle has no such arcs.
|
||||||
\ccPrecond{\ccc{a} lies on {\color{magenta} the context sphere used by the function \ccc{SphericalKernel::is_theta_monotone_3_object}},
|
\ccPrecond{\ccc{a} lies on the context sphere used by the function \ccc{SphericalKernel::is_theta_monotone_3_object},
|
||||||
and the supporting circle of \ccc{a} is not bipolar.} % TAG SKOS
|
and the supporting circle of \ccc{a} is not bipolar.}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
|
|
@ -206,4 +205,3 @@ and the supporting circle of \ccc{a} is not bipolar.} % TAG SKOS
|
||||||
|
|
||||||
|
|
||||||
\end{ccRefFunctionObjectConcept}
|
\end{ccRefFunctionObjectConcept}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
@ -65,8 +65,6 @@ constructions and other functionalities.
|
||||||
\ccGlue
|
\ccGlue
|
||||||
\ccNestedType{Compare_xyz_3}{Model of \ccc{SphericalKernel::CompareXYZ_3}.}
|
\ccNestedType{Compare_xyz_3}{Model of \ccc{SphericalKernel::CompareXYZ_3}.}
|
||||||
\ccGlue
|
\ccGlue
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccNestedType{Compare_theta_3}{Model of \ccc{SphericalKernel::CompareTheta_3}.}
|
\ccNestedType{Compare_theta_3}{Model of \ccc{SphericalKernel::CompareTheta_3}.}
|
||||||
\ccGlue
|
\ccGlue
|
||||||
\ccNestedType{Compare_theta_z_3}{Model of \ccc{SphericalKernel::CompareThetaZ_3}.}
|
\ccNestedType{Compare_theta_z_3}{Model of \ccc{SphericalKernel::CompareThetaZ_3}.}
|
||||||
|
|
@ -74,7 +72,7 @@ constructions and other functionalities.
|
||||||
\ccNestedType{Compare_z_at_theta_3}{Model of \ccc{SphericalKernel::CompareZAtTheta_3}.}
|
\ccNestedType{Compare_z_at_theta_3}{Model of \ccc{SphericalKernel::CompareZAtTheta_3}.}
|
||||||
\ccGlue
|
\ccGlue
|
||||||
\ccNestedType{Compare_z_to_right_3}{Model of \ccc{SphericalKernel::CompareZToRight_3}.}
|
\ccNestedType{Compare_z_to_right_3}{Model of \ccc{SphericalKernel::CompareZToRight_3}.}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccNestedType{Equal_3}{Model of \ccc{SphericalKernel::Equal_3}.}
|
\ccNestedType{Equal_3}{Model of \ccc{SphericalKernel::Equal_3}.}
|
||||||
|
|
||||||
|
|
@ -90,10 +88,7 @@ constructions and other functionalities.
|
||||||
\ccGlue
|
\ccGlue
|
||||||
\ccNestedType{Has_on_unbounded_side_3}{Model of \ccc{SphericalKernel::HasOnUnboundedSide_3}.}
|
\ccNestedType{Has_on_unbounded_side_3}{Model of \ccc{SphericalKernel::HasOnUnboundedSide_3}.}
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccNestedType{Is_theta_monotone_3}{Model of \ccc{SphericalKernel::IsThetaMonotone_3}.}
|
\ccNestedType{Is_theta_monotone_3}{Model of \ccc{SphericalKernel::IsThetaMonotone_3}.}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccHeading{Constructions}
|
\ccHeading{Constructions}
|
||||||
|
|
||||||
|
|
@ -125,10 +120,7 @@ constructions and other functionalities.
|
||||||
|
|
||||||
\ccNestedType{Split_3}{Model of \ccc{SphericalKernel::Split_3}.}
|
\ccNestedType{Split_3}{Model of \ccc{SphericalKernel::Split_3}.}
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccNestedType{Make_theta_monotone_3}{Model of \ccc{SphericalKernel::MakeThetaMonotone_3}.}
|
\ccNestedType{Make_theta_monotone_3}{Model of \ccc{SphericalKernel::MakeThetaMonotone_3}.}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccHeading{Computations}
|
\ccHeading{Computations}
|
||||||
|
|
||||||
|
|
@ -159,8 +151,6 @@ must exist:
|
||||||
\ccCreationVariable{sk}
|
\ccCreationVariable{sk}
|
||||||
\ccMethod{Construct_circular_arc_3 construct_circular_arc_3_object() const;}{}
|
\ccMethod{Construct_circular_arc_3 construct_circular_arc_3_object() const;}{}
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{magenta}
|
|
||||||
For operations on a given sphere, a \textit{context} sphere must be provided to the following functions:
|
For operations on a given sphere, a \textit{context} sphere must be provided to the following functions:
|
||||||
|
|
||||||
\ccMethod{Compare_theta_3 compare_theta_3_object(const Sphere_3& sphere) const;}{}
|
\ccMethod{Compare_theta_3 compare_theta_3_object(const Sphere_3& sphere) const;}{}
|
||||||
|
|
@ -169,7 +159,6 @@ For operations on a given sphere, a \textit{context} sphere must be provided to
|
||||||
\ccMethod{Compare_z_to_right_3 compare_z_to_right_3_object(const Sphere_3& sphere) const;}{}
|
\ccMethod{Compare_z_to_right_3 compare_z_to_right_3_object(const Sphere_3& sphere) const;}{}
|
||||||
\ccMethod{Make_theta_monotone_3 make_theta_monotone_3_object(const Sphere_3& sphere) const;}{}
|
\ccMethod{Make_theta_monotone_3 make_theta_monotone_3_object(const Sphere_3& sphere) const;}{}
|
||||||
\ccMethod{Is_theta_monotone_3 is_theta_monotone_3_object(const Sphere_3& sphere) const;}{}
|
\ccMethod{Is_theta_monotone_3 is_theta_monotone_3_object(const Sphere_3& sphere) const;}{}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
\ccSeeAlso
|
\ccSeeAlso
|
||||||
|
|
|
||||||
|
|
@ -1,5 +1,3 @@
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\begin{ccRefFunction}{is_theta_monotone}
|
\begin{ccRefFunction}{is_theta_monotone}
|
||||||
|
|
||||||
\ccInclude{CGAL/global_functions_spherical_kernel_3.h}
|
\ccInclude{CGAL/global_functions_spherical_kernel_3.h}
|
||||||
|
|
@ -27,8 +25,6 @@ Note that a bipolar circle has no such arcs.
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
{\color{magenta} %TAG SKOS
|
|
||||||
|
|
||||||
\ccFunction{Comparison_result
|
\ccFunction{Comparison_result
|
||||||
compare_theta(const SphericalKernel::Circular_arc_point_3 &p,
|
compare_theta(const SphericalKernel::Circular_arc_point_3 &p,
|
||||||
const SphericalKernel::Vector_3 &m, const SphericalKernel::Sphere_3& sphere );}
|
const SphericalKernel::Vector_3 &m, const SphericalKernel::Sphere_3& sphere );}
|
||||||
|
|
@ -40,8 +36,6 @@ in the cylindrical coordinate system relative to \ccc{sphere} .
|
||||||
\ccFunction{Comparison_result
|
\ccFunction{Comparison_result
|
||||||
compare_theta(const SphericalKernel::Vector_3 &m,const SphericalKernel::Circular_arc_point_3 &p);}{Same as previous, with opposite result.}
|
compare_theta(const SphericalKernel::Vector_3 &m,const SphericalKernel::Circular_arc_point_3 &p);}{Same as previous, with opposite result.}
|
||||||
|
|
||||||
} %TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
@ -85,7 +79,7 @@ in the cylindrical coordinate system relative to \ccc{sphere}.
|
||||||
\ccRefIdfierPage{CGAL::compare_theta} \\
|
\ccRefIdfierPage{CGAL::compare_theta} \\
|
||||||
|
|
||||||
\end{ccRefFunction}
|
\end{ccRefFunction}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
@ -142,8 +136,6 @@ in the cylindrical coordinate system relative to \ccc{sphere}.
|
||||||
|
|
||||||
\end{ccRefFunction}
|
\end{ccRefFunction}
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\begin{ccRefFunction}{theta_extremal_point}
|
\begin{ccRefFunction}{theta_extremal_point}
|
||||||
|
|
||||||
\ccInclude{CGAL/global_functions_spherical_kernel_3.h}
|
\ccInclude{CGAL/global_functions_spherical_kernel_3.h}
|
||||||
|
|
@ -158,7 +150,6 @@ relative to \ccc{sphere}, and that has the smallest (resp. largest)
|
||||||
}
|
}
|
||||||
|
|
||||||
\end{ccRefFunction}
|
\end{ccRefFunction}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
@ -233,8 +224,6 @@ relative to \ccc{sphere}, and that has the smallest (resp. largest)
|
||||||
\end{ccRefFunction}
|
\end{ccRefFunction}
|
||||||
|
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\begin{ccRefFunction}{theta_extremal_points}
|
\begin{ccRefFunction}{theta_extremal_points}
|
||||||
|
|
||||||
\ccInclude{CGAL/global_functions_spherical_kernel_3.h}
|
\ccInclude{CGAL/global_functions_spherical_kernel_3.h}
|
||||||
|
|
@ -271,9 +260,6 @@ relative to \ccc{sphere}, and that has the smallest (resp. largest)
|
||||||
|
|
||||||
\end{ccRefFunction}
|
\end{ccRefFunction}
|
||||||
|
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -32,13 +32,11 @@
|
||||||
\ccRefConceptPage{SphericalKernel::CompareZ_3}\\
|
\ccRefConceptPage{SphericalKernel::CompareZ_3}\\
|
||||||
\ccRefConceptPage{SphericalKernel::CompareXY_3}\\
|
\ccRefConceptPage{SphericalKernel::CompareXY_3}\\
|
||||||
\ccRefConceptPage{SphericalKernel::CompareXYZ_3}\\
|
\ccRefConceptPage{SphericalKernel::CompareXYZ_3}\\
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefConceptPage{SphericalKernel::CompareTheta_3}\\
|
\ccRefConceptPage{SphericalKernel::CompareTheta_3}\\
|
||||||
\ccRefConceptPage{SphericalKernel::CompareThetaZ_3}\\
|
\ccRefConceptPage{SphericalKernel::CompareThetaZ_3}\\
|
||||||
\ccRefConceptPage{SphericalKernel::CompareZAtTheta_3}\\
|
\ccRefConceptPage{SphericalKernel::CompareZAtTheta_3}\\
|
||||||
\ccRefConceptPage{SphericalKernel::CompareZToRight_3}
|
\ccRefConceptPage{SphericalKernel::CompareZToRight_3}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccRefConceptPage{SphericalKernel::Equal_3}
|
\ccRefConceptPage{SphericalKernel::Equal_3}
|
||||||
|
|
||||||
|
|
@ -48,10 +46,8 @@
|
||||||
|
|
||||||
\ccRefConceptPage{SphericalKernel::DoIntersect_3}
|
\ccRefConceptPage{SphericalKernel::DoIntersect_3}
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefConceptPage{SphericalKernel::IsThetaMonotone_3}
|
\ccRefConceptPage{SphericalKernel::IsThetaMonotone_3}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccRefConceptPage{SphericalKernel::BoundedSide_3}\\
|
\ccRefConceptPage{SphericalKernel::BoundedSide_3}\\
|
||||||
\ccRefConceptPage{SphericalKernel::HasOnBoundedSide_3}\\
|
\ccRefConceptPage{SphericalKernel::HasOnBoundedSide_3}\\
|
||||||
|
|
@ -61,10 +57,7 @@
|
||||||
|
|
||||||
\ccRefConceptPage{SphericalKernel::Split_3}
|
\ccRefConceptPage{SphericalKernel::Split_3}
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefConceptPage{SphericalKernel::MakeThetaMonotone_3}
|
\ccRefConceptPage{SphericalKernel::MakeThetaMonotone_3}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccRefConceptPage{SphericalKernel::ComputeCircularX_3}\\
|
\ccRefConceptPage{SphericalKernel::ComputeCircularX_3}\\
|
||||||
\ccRefConceptPage{SphericalKernel::ComputeCircularY_3}\\
|
\ccRefConceptPage{SphericalKernel::ComputeCircularY_3}\\
|
||||||
|
|
@ -92,11 +85,9 @@
|
||||||
\ccRefIdfierPage{CGAL::Line_arc_3<SphericalKernel>}\\
|
\ccRefIdfierPage{CGAL::Line_arc_3<SphericalKernel>}\\
|
||||||
\ccRefIdfierPage{CGAL::Circular_arc_3<SphericalKernel>}\\
|
\ccRefIdfierPage{CGAL::Circular_arc_3<SphericalKernel>}\\
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\subsubsection*{Constants and Enumerations}
|
\subsubsection*{Constants and Enumerations}
|
||||||
\ccRefIdfierPage{CGAL::Circle_type}
|
\ccRefIdfierPage{CGAL::Circle_type}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\section{Geometric Global Functions}
|
\section{Geometric Global Functions}
|
||||||
|
|
||||||
|
|
@ -105,36 +96,21 @@
|
||||||
\ccRefIdfierPage{CGAL::compare_z}\\
|
\ccRefIdfierPage{CGAL::compare_z}\\
|
||||||
\ccRefIdfierPage{CGAL::compare_xy}\\
|
\ccRefIdfierPage{CGAL::compare_xy}\\
|
||||||
\ccRefIdfierPage{CGAL::compare_xyz}\\
|
\ccRefIdfierPage{CGAL::compare_xyz}\\
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefIdfierPage{CGAL::compare_theta}\\
|
\ccRefIdfierPage{CGAL::compare_theta}\\
|
||||||
\ccRefIdfierPage{CGAL::compare_theta_z}
|
\ccRefIdfierPage{CGAL::compare_theta_z}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefIdfierPage{CGAL::is_theta_monotone}
|
\ccRefIdfierPage{CGAL::is_theta_monotone}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefIdfierPage{CGAL::classify}
|
\ccRefIdfierPage{CGAL::classify}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccRefIdfierPage{CGAL::x_extremal_point}\\
|
\ccRefIdfierPage{CGAL::x_extremal_point}\\
|
||||||
\ccRefIdfierPage{CGAL::y_extremal_point}\\
|
\ccRefIdfierPage{CGAL::y_extremal_point}\\
|
||||||
\ccRefIdfierPage{CGAL::z_extremal_point}\\
|
\ccRefIdfierPage{CGAL::z_extremal_point}\\
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefIdfierPage{CGAL::theta_extremal_point}\\
|
\ccRefIdfierPage{CGAL::theta_extremal_point}\\
|
||||||
}%TAG SKOS
|
|
||||||
\ccRefIdfierPage{CGAL::x_extremal_points}\\
|
\ccRefIdfierPage{CGAL::x_extremal_points}\\
|
||||||
\ccRefIdfierPage{CGAL::y_extremal_points}\\
|
\ccRefIdfierPage{CGAL::y_extremal_points}\\
|
||||||
\ccRefIdfierPage{CGAL::z_extremal_points}\\
|
\ccRefIdfierPage{CGAL::z_extremal_points}\\
|
||||||
{%TAG SKOS
|
|
||||||
\color{cyan}
|
|
||||||
\ccRefIdfierPage{CGAL::theta_extremal_points}
|
\ccRefIdfierPage{CGAL::theta_extremal_points}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
\ccRefIdfierPage[Kernel::do_intersect]{CGAL::do_intersect}\\
|
\ccRefIdfierPage[Kernel::do_intersect]{CGAL::do_intersect}\\
|
||||||
\ccRefIdfierPage[Kernel::intersection]{CGAL::intersection}
|
\ccRefIdfierPage[Kernel::intersection]{CGAL::intersection}
|
||||||
|
|
|
||||||
|
|
@ -18,9 +18,7 @@
|
||||||
\input{Circular_kernel_3_ref/CircularArc_3}
|
\input{Circular_kernel_3_ref/CircularArc_3}
|
||||||
\input{Circular_kernel_3_ref/Circular_arc_3}
|
\input{Circular_kernel_3_ref/Circular_arc_3}
|
||||||
|
|
||||||
{\color{cyan} %TAG SKOS
|
|
||||||
\input{Circular_kernel_3_ref/Circle_on_sphere_type_3}
|
\input{Circular_kernel_3_ref/Circle_on_sphere_type_3}
|
||||||
}%TAG SKOS
|
|
||||||
|
|
||||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
% geometric functors
|
% geometric functors
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue