nl-interval (13mar21)

git-svn-id: svn://tug.org/texlive/trunk@58328 c570f23f-e606-0410-a88d-b1316a301751

1 files changed, 1242 insertions, 0 deletions

diff --git a/Master/texmf-dist/tex/latex/nl-interval/nl-interval.sty b/Master/texmf-dist/tex/latex/nl-interval/nl-interval.sty
new file mode 100644
index 00000000000..1fb18a42f57
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/nl-interval/nl-interval.sty
@@ -0,0 +1,1242 @@
+%% TITLE: nl-interval v1.0
+%%
+%% Copyright 2021 Antero Neves
+%%
+%% This work may be distributed and/or modified
+%% under the conditions of the LaTeX Project Public License,
+%% either version 1.3c of this license or any later version.
+%% The latest version of this license is in 
+%% http://www.latex-project.org/lppl.txt.
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{nl-interval} % Version 1.0
+
+\RequirePackage{xparse,tkz-fct,ifthen}
+
+\definecolor{MyBlueAN}{RGB}{59,89,152}
+%\definecolor{MyGreenAN}{HTML}{7e8464}
+%\definecolor{MyRedAN}{HTML}{90030c}
+
+
+%--------- Defines Axes ---------%
+\NewDocumentCommand{\nlAxisX}{m m}{
+	\def\xmin{#1}
+	\def\xmax{#2}
+	\tkzInit[xmin=#1,xmax=#2]
+	\tkzDrawX[noticks]}
+
+
+%--------- Defines command to draw interval from number to +infinity ---------%
+\NewDocumentCommand{\nlnuminf}{o m o m o}{
+	\IfNoValueTF{#1}
+	{	
+		\IfNoValueTF{#3}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5] (#2,0) rectangle (\xmax,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmax,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5] (#2,0) rectangle (\xmax,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmax,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+		}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5] (#2,0) rectangle (\xmax,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmax,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5] (#2,0) rectangle (\xmax,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmax,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}	
+		}
+	}
+	{
+		\IfNoValueTF{#3}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5,#1] (#2,0) rectangle (\xmax,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmax,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5,#1] (#2,0) rectangle (\xmax,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmax,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+		}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5,#1] (#2,0) rectangle (\xmax,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmax,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=east,opacity=.5,#1] (#2,0) rectangle (\xmax,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmax,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}	
+		}
+	}
+}
+
+%--------- Defines command to draw interval from -infinity to a number ---------%
+\NewDocumentCommand{\nlinfnum}{o m o m o}{
+	\IfNoValueTF{#1}
+	{	
+		\IfNoValueTF{#3}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5] (#2,0) rectangle (\xmin,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmin,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5] (#2,0) rectangle (\xmin,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmin,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+		}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5] (#2,0) rectangle (\xmin,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmin,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5] (#2,0) rectangle (\xmin,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmin,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}	
+		}
+	}
+	{
+		\IfNoValueTF{#3}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5,#1] (#2,0) rectangle (\xmin,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmin,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#2\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5,#1] (#2,0) rectangle (\xmin,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmin,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+		}
+		{
+			\IfNoValueTF{#5}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5,#1] (#2,0) rectangle (\xmin,.5);
+				\draw[->,>=stealth] (#2,0)--(#2,.5)--(\xmin,.5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}
+			{
+				\tkzDefPoint(#2,0){A}
+				\tkzDrawPoint[shape=cross](A)
+				\tkzLabelPoint[below](A){\(#3\)}
+				\fill[MyBlueAN!30, path fading=west,opacity=.5,#1] (#2,0) rectangle (\xmin,#5);
+				\draw[->,>=stealth] (#2,0)--(#2,#5)--(\xmin,#5);
+				\ifthenelse
+				{\equal{#4}{o}}
+				{	
+					\draw[fill=white] (#2,#5) circle [radius=1.5pt];
+				}
+				{
+					\ifthenelse
+					{\equal{#4}{c}}
+					{
+						\draw[fill=black] (#2,#5) circle[radius=1.5pt];
+					}
+					{}
+				}
+			}	
+		}
+	}
+}
+
+%--------- Defines command to draw interval from a number to a number ---------%
+\NewDocumentCommand{\nlnumnum}{o m o m m o m o}{
+	\IfNoValueTF{#1}
+	{	
+		\IfNoValueTF{#3}
+		{
+			\IfNoValueTF{#6}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+		}
+		{
+			\IfNoValueTF{#6}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+		}
+	}
+	{
+		\IfNoValueTF{#3}
+		{
+			\IfNoValueTF{#6}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#2\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+		}
+		{
+			\IfNoValueTF{#6}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#5\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+			{
+				\IfNoValueTF{#8}
+				{	
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,.5);
+					\draw (#2,0)--(#2,.5)--(#5,.5)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,.5) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,.5) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,.5) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,.5) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}
+				}
+				{
+					\tkzDefPoint(#2,0){A}
+					\tkzDrawPoint[shape=cross](A)
+					\tkzLabelPoint[below](A){\(#3\)}
+					\tkzDefPoint(#5,0){B}
+					\tkzDrawPoint[shape=cross](B)
+					\tkzLabelPoint[below](B){\(#6\)}
+					\fill[MyBlueAN!30,opacity=.5,#1] (#2,0) rectangle (#5,#8);
+					\draw (#2,0)--(#2,#8)--(#5,#8)-- (#5,0);
+					\ifthenelse
+					{\equal{#4}{o}}
+					{	
+						\draw[fill=white] (#2,#8) circle [radius=1.5pt];
+						
+						\ifthenelse
+						{\equal{#7}{o}}
+						{
+							\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+						}
+						{
+							\ifthenelse
+							{\equal{#7}{c}}
+							{
+								\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+							}
+							{}	
+						}
+					}
+					{
+						\ifthenelse
+						{\equal{#4}{c}}
+						{
+							\draw[fill=black] (#2,#8) circle[radius=1.5pt];
+							\ifthenelse
+							{\equal{#7}{o}}
+							{
+								\draw[fill=white] (#5,#8) circle [radius=1.5pt];
+							}
+							{
+								\ifthenelse
+								{\equal{#7}{c}}
+								{
+									\draw[fill=black] (#5,#8) circle[radius=1.5pt];
+								}
+								{}	
+							}
+						}
+						{}
+					}	
+				}
+			}
+		}
+	}
+}
+
+