How to raster area bounded by two functions?

4

This code works normally:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linestyle=none]{0}{6.5}{x*(3-x)/2}}

psplot[linecolor=blue,fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot{0}{4.5}{x*(3-x)/2}}

psplot[linecolor=blue]{.5}{5}{x*(x-6)+6}

rput[bl](1.8,1.2){$y=dfrac{-x^2+3x}{2}$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

but the following code is not working:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linecolor=blue,]{-1}{5}{-1*x+2}}

    psplot[fillstyle=hlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt]{.5}{5}{x*(x-6)+6}

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

pstricks pst-plot

share|improve this question

edited Nov 24 '18 at 4:42

asked Nov 20 '18 at 8:19

chishimotoji

820316

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  Welcome to TeX.SX! Can you please expand the code snippet that you have posted to a full minimal working example. It is much easier to help you if we can start with some compilable code that illustrates your problem. A MWE should start with a documentclass command, include any necessary packages and be as small as possible to demonstrate your problem. At the moment we have to guess what packages etc you are using before we can compile your code.
  – Andrew
  Nov 20 '18 at 8:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you for your remind.
  – chishimotoji
  Nov 20 '18 at 8:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should remove everything from the example code which is not important for the problem, e.g. the margin setting, amsmath, a lot of the PSTricks packages, graphicx
  – Herbert
  Nov 20 '18 at 9:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Herbert: I do so since I hope while compiling not having error.
  – chishimotoji
  Nov 20 '18 at 9:30
  
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  linestyle=curve should be plotstyle=curve
  – Herbert
  Nov 20 '18 at 10:57
  

  
  
  
  

add a comment | 

4

This code works normally:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linestyle=none]{0}{6.5}{x*(3-x)/2}}

psplot[linecolor=blue,fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot{0}{4.5}{x*(3-x)/2}}

psplot[linecolor=blue]{.5}{5}{x*(x-6)+6}

rput[bl](1.8,1.2){$y=dfrac{-x^2+3x}{2}$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

but the following code is not working:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linecolor=blue,]{-1}{5}{-1*x+2}}

    psplot[fillstyle=hlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt]{.5}{5}{x*(x-6)+6}

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

pstricks pst-plot

share|improve this question

edited Nov 24 '18 at 4:42

asked Nov 20 '18 at 8:19

chishimotoji

820316

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  Welcome to TeX.SX! Can you please expand the code snippet that you have posted to a full minimal working example. It is much easier to help you if we can start with some compilable code that illustrates your problem. A MWE should start with a documentclass command, include any necessary packages and be as small as possible to demonstrate your problem. At the moment we have to guess what packages etc you are using before we can compile your code.
  – Andrew
  Nov 20 '18 at 8:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you for your remind.
  – chishimotoji
  Nov 20 '18 at 8:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should remove everything from the example code which is not important for the problem, e.g. the margin setting, amsmath, a lot of the PSTricks packages, graphicx
  – Herbert
  Nov 20 '18 at 9:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Herbert: I do so since I hope while compiling not having error.
  – chishimotoji
  Nov 20 '18 at 9:30
  
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  linestyle=curve should be plotstyle=curve
  – Herbert
  Nov 20 '18 at 10:57
  

  
  
  
  

add a comment | 

4

4

4

This code works normally:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linestyle=none]{0}{6.5}{x*(3-x)/2}}

psplot[linecolor=blue,fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot{0}{4.5}{x*(3-x)/2}}

psplot[linecolor=blue]{.5}{5}{x*(x-6)+6}

rput[bl](1.8,1.2){$y=dfrac{-x^2+3x}{2}$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

but the following code is not working:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linecolor=blue,]{-1}{5}{-1*x+2}}

    psplot[fillstyle=hlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt]{.5}{5}{x*(x-6)+6}

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

pstricks pst-plot

share|improve this question

edited Nov 24 '18 at 4:42

asked Nov 20 '18 at 8:19

chishimotoji

820316

This code works normally:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linestyle=none]{0}{6.5}{x*(3-x)/2}}

psplot[linecolor=blue,fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot{0}{4.5}{x*(3-x)/2}}

psplot[linecolor=blue]{.5}{5}{x*(x-6)+6}

rput[bl](1.8,1.2){$y=dfrac{-x^2+3x}{2}$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

but the following code is not working:

documentclass[pstricks]{standalone}

usepackage{pst-plot}

%usepackage{auto-pst-pdf}% only for pdflatex

begin{pspicture}[algebraic,linestyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{%

    psplot[linecolor=blue,]{-1}{5}{-1*x+2}}

    psplot[fillstyle=hlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt]{.5}{5}{x*(x-6)+6}

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}

end{document}

pstricks pst-plot

pstricks pst-plot

share|improve this question

edited Nov 24 '18 at 4:42

asked Nov 20 '18 at 8:19

chishimotoji

820316

share|improve this question

edited Nov 24 '18 at 4:42

asked Nov 20 '18 at 8:19

chishimotoji

820316

share|improve this question

share|improve this question

edited Nov 24 '18 at 4:42

edited Nov 24 '18 at 4:42

edited Nov 24 '18 at 4:42

asked Nov 20 '18 at 8:19

chishimotoji

820316

asked Nov 20 '18 at 8:19

chishimotoji

820316

asked Nov 20 '18 at 8:19

chishimotoji

820316

820316

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  Welcome to TeX.SX! Can you please expand the code snippet that you have posted to a full minimal working example. It is much easier to help you if we can start with some compilable code that illustrates your problem. A MWE should start with a documentclass command, include any necessary packages and be as small as possible to demonstrate your problem. At the moment we have to guess what packages etc you are using before we can compile your code.
  – Andrew
  Nov 20 '18 at 8:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you for your remind.
  – chishimotoji
  Nov 20 '18 at 8:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should remove everything from the example code which is not important for the problem, e.g. the margin setting, amsmath, a lot of the PSTricks packages, graphicx
  – Herbert
  Nov 20 '18 at 9:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Herbert: I do so since I hope while compiling not having error.
  – chishimotoji
  Nov 20 '18 at 9:30
  
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  linestyle=curve should be plotstyle=curve
  – Herbert
  Nov 20 '18 at 10:57
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  Welcome to TeX.SX! Can you please expand the code snippet that you have posted to a full minimal working example. It is much easier to help you if we can start with some compilable code that illustrates your problem. A MWE should start with a documentclass command, include any necessary packages and be as small as possible to demonstrate your problem. At the moment we have to guess what packages etc you are using before we can compile your code.
  – Andrew
  Nov 20 '18 at 8:30
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you for your remind.
  – chishimotoji
  Nov 20 '18 at 8:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should remove everything from the example code which is not important for the problem, e.g. the margin setting, amsmath, a lot of the PSTricks packages, graphicx
  – Herbert
  Nov 20 '18 at 9:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Herbert: I do so since I hope while compiling not having error.
  – chishimotoji
  Nov 20 '18 at 9:30
  
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  linestyle=curve should be plotstyle=curve
  – Herbert
  Nov 20 '18 at 10:57
  

  
  
  
  

2

2

Welcome to TeX.SX! Can you please expand the code snippet that you have posted to a full minimal working example. It is much easier to help you if we can start with some compilable code that illustrates your problem. A MWE should start with a documentclass command, include any necessary packages and be as small as possible to demonstrate your problem. At the moment we have to guess what packages etc you are using before we can compile your code.
– Andrew
Nov 20 '18 at 8:30

Welcome to TeX.SX! Can you please expand the code snippet that you have posted to a full minimal working example. It is much easier to help you if we can start with some compilable code that illustrates your problem. A MWE should start with a documentclass command, include any necessary packages and be as small as possible to demonstrate your problem. At the moment we have to guess what packages etc you are using before we can compile your code.
– Andrew
Nov 20 '18 at 8:30

Thank you for your remind.
– chishimotoji
Nov 20 '18 at 8:40

Thank you for your remind.
– chishimotoji
Nov 20 '18 at 8:40

You should remove everything from the example code which is not important for the problem, e.g. the margin setting, amsmath, a lot of the PSTricks packages, graphicx
– Herbert
Nov 20 '18 at 9:22

You should remove everything from the example code which is not important for the problem, e.g. the margin setting, amsmath, a lot of the PSTricks packages, graphicx
– Herbert
Nov 20 '18 at 9:22

@Herbert: I do so since I hope while compiling not having error.
– chishimotoji
Nov 20 '18 at 9:30

@Herbert: I do so since I hope while compiling not having error.
– chishimotoji
Nov 20 '18 at 9:30

1

1

linestyle=curve should be plotstyle=curve
– Herbert
Nov 20 '18 at 10:57

linestyle=curve should be plotstyle=curve
– Herbert
Nov 20 '18 at 10:57

add a comment | 

2 Answers
2

active

oldest

votes

4

You have to define an area which will then be clipped. The area is build with connecting the first point with the last one. For a line you simply get an area of zero, and from this area nothing can be clipped!

With psline(0,2)(5,-3)(0,-3) I define a triangle. It is automatically a closed area becasue it draws a line from (0,-3) to (0,2).
And from that area the curve with {x*(x-6)+6} is clipping a part which will be filled.

documentclass[pstricks]{standalone}

usepackage{pst-plot}

begin{document}



begin{pspicture}[algebraic,plotstyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{psline[linestyle=none](0,2)(5,-3)(0,-3)}

   psplot[fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt,linecolor=blue]{.5}{5}{x*(x-6)+6}

psline[linewidth=1.5pt](0,2)(5,-3)

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}



end{document}

As an alternative you can calculate the intersectionpoints (needs package pst-intersect) and using pscustom

%%usepackage{pst-intersect} in the preamble

begin{pspicture}[algebraic](-2,-6)(6,6)

pssavepath[linewidth=1.5pt]{Curve}{psplot{.5}{5}{x*(x-6)+6}}

pssavepath[linewidth=1.5pt]{Line}{psplot{0}{5}{-x+2}}

psintersect[name=C]{Curve}{Line}

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

pscustom[fillcolor=red,fillstyle=solid,opacity=0.4]{%

  psplot{psGetNodeCenter{C1}C1.x}{psGetNodeCenter{C2}C2.x}{x*(x-6)+6}%

}

end{pspicture}

However, that one with pst-intersect works not with xelatex

share|improve this answer

edited Nov 20 '18 at 9:41

answered Nov 20 '18 at 9:05

Herbert

269k24408717

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I understanded what you directing. And together Artificial Stupidity's anwser, I have more knowledge myseft.
  – chishimotoji
  Nov 20 '18 at 9:23
  

  
  
  
  

add a comment | 

3

Generic Template

Proposed features:

• functions are defined globally so you can change easily.


• intersection points are calculated at "runtime" as opposed to statically hard coded.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-eucl,pst-plot}





deff(#1){((#1)^2-6*(#1)+6)}

defg(#1){(2-(#1))}



begin{document}

begin{pspicture}[algebraic,saveNodeCoors,PointSymbol=none,PointName=none](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pstInterFF{f(x)}{g(x)}{0}{A}

    pstInterFF{f(x)}{g(x)}{5}{B}

    pscustom*[linecolor=yellow!50]{%

        psplot{N-A.x}{N-B.x}{f(x)}

        psplot{N-B.x}{N-A.x}{g(x)}

        closepath

    }

    psset{linewidth=2pt,linecolor=cyan}

    psplot{.5}{5}{f(x)}

    psplot{-.5}{5}{g(x)}

    uput[-90](*5 {g(x)}){$y=-x+2$}

    uput[45](*.7 {f(x)}){$y=x^2-6x+6$}

end{pspicture}

end{document}

Statically hard-coded Version

Cons: you have to calculate the intersection points in advance by hands.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-plot}



deff{x^2-6*x+6}

defg{2-x}



begin{document}

begin{pspicture}[algebraic](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pscustom[fillstyle=vlines,hatchcolor=red,hatchsep=0.8pt]{psplot{1}{4}{f}psplot{4}{1}{g}}

    psset{linewidth=2pt,linecolor=blue}

    psplot{.5}{5}{f}

    psplot{-.5}{5}{g}

    uput[-90](*5 {g}){$y=-x+2$}

    uput[45](*.7 {f}){$y=x^2-6x+6$}

end{pspicture}

end{document}

share|improve this answer

edited Nov 20 '18 at 9:21

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

add a comment | 

Your Answer

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "85"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});

Thanks for contributing an answer to TeX - LaTeX Stack Exchange!

• Please be sure to answer the question. Provide details and share your research!

But avoid …

• Asking for help, clarification, or responding to other answers.


• Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.

Some of your past answers have not been well-received, and you're in danger of being blocked from answering.

Please pay close attention to the following guidance:

• Please be sure to answer the question. Provide details and share your research!

But avoid …

• Asking for help, clarification, or responding to other answers.


• Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f460890%2fhow-to-raster-area-bounded-by-two-functions%23new-answer', 'question_page');
}
);

Post as a guest

Name

Email

Required, but never shown

2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

active

oldest

votes

active

oldest

votes

4

You have to define an area which will then be clipped. The area is build with connecting the first point with the last one. For a line you simply get an area of zero, and from this area nothing can be clipped!

With psline(0,2)(5,-3)(0,-3) I define a triangle. It is automatically a closed area becasue it draws a line from (0,-3) to (0,2).
And from that area the curve with {x*(x-6)+6} is clipping a part which will be filled.

documentclass[pstricks]{standalone}

usepackage{pst-plot}

begin{document}



begin{pspicture}[algebraic,plotstyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{psline[linestyle=none](0,2)(5,-3)(0,-3)}

   psplot[fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt,linecolor=blue]{.5}{5}{x*(x-6)+6}

psline[linewidth=1.5pt](0,2)(5,-3)

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}



end{document}

As an alternative you can calculate the intersectionpoints (needs package pst-intersect) and using pscustom

%%usepackage{pst-intersect} in the preamble

begin{pspicture}[algebraic](-2,-6)(6,6)

pssavepath[linewidth=1.5pt]{Curve}{psplot{.5}{5}{x*(x-6)+6}}

pssavepath[linewidth=1.5pt]{Line}{psplot{0}{5}{-x+2}}

psintersect[name=C]{Curve}{Line}

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

pscustom[fillcolor=red,fillstyle=solid,opacity=0.4]{%

  psplot{psGetNodeCenter{C1}C1.x}{psGetNodeCenter{C2}C2.x}{x*(x-6)+6}%

}

end{pspicture}

However, that one with pst-intersect works not with xelatex

share|improve this answer

edited Nov 20 '18 at 9:41

answered Nov 20 '18 at 9:05

Herbert

269k24408717

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I understanded what you directing. And together Artificial Stupidity's anwser, I have more knowledge myseft.
  – chishimotoji
  Nov 20 '18 at 9:23
  

  
  
  
  

add a comment | 

4

You have to define an area which will then be clipped. The area is build with connecting the first point with the last one. For a line you simply get an area of zero, and from this area nothing can be clipped!

With psline(0,2)(5,-3)(0,-3) I define a triangle. It is automatically a closed area becasue it draws a line from (0,-3) to (0,2).
And from that area the curve with {x*(x-6)+6} is clipping a part which will be filled.

documentclass[pstricks]{standalone}

usepackage{pst-plot}

begin{document}



begin{pspicture}[algebraic,plotstyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{psline[linestyle=none](0,2)(5,-3)(0,-3)}

   psplot[fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt,linecolor=blue]{.5}{5}{x*(x-6)+6}

psline[linewidth=1.5pt](0,2)(5,-3)

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}



end{document}

As an alternative you can calculate the intersectionpoints (needs package pst-intersect) and using pscustom

%%usepackage{pst-intersect} in the preamble

begin{pspicture}[algebraic](-2,-6)(6,6)

pssavepath[linewidth=1.5pt]{Curve}{psplot{.5}{5}{x*(x-6)+6}}

pssavepath[linewidth=1.5pt]{Line}{psplot{0}{5}{-x+2}}

psintersect[name=C]{Curve}{Line}

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

pscustom[fillcolor=red,fillstyle=solid,opacity=0.4]{%

  psplot{psGetNodeCenter{C1}C1.x}{psGetNodeCenter{C2}C2.x}{x*(x-6)+6}%

}

end{pspicture}

However, that one with pst-intersect works not with xelatex

share|improve this answer

edited Nov 20 '18 at 9:41

answered Nov 20 '18 at 9:05

Herbert

269k24408717

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I understanded what you directing. And together Artificial Stupidity's anwser, I have more knowledge myseft.
  – chishimotoji
  Nov 20 '18 at 9:23
  

  
  
  
  

add a comment | 

4

4

4

You have to define an area which will then be clipped. The area is build with connecting the first point with the last one. For a line you simply get an area of zero, and from this area nothing can be clipped!

With psline(0,2)(5,-3)(0,-3) I define a triangle. It is automatically a closed area becasue it draws a line from (0,-3) to (0,2).
And from that area the curve with {x*(x-6)+6} is clipping a part which will be filled.

documentclass[pstricks]{standalone}

usepackage{pst-plot}

begin{document}



begin{pspicture}[algebraic,plotstyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{psline[linestyle=none](0,2)(5,-3)(0,-3)}

   psplot[fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt,linecolor=blue]{.5}{5}{x*(x-6)+6}

psline[linewidth=1.5pt](0,2)(5,-3)

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}



end{document}

As an alternative you can calculate the intersectionpoints (needs package pst-intersect) and using pscustom

%%usepackage{pst-intersect} in the preamble

begin{pspicture}[algebraic](-2,-6)(6,6)

pssavepath[linewidth=1.5pt]{Curve}{psplot{.5}{5}{x*(x-6)+6}}

pssavepath[linewidth=1.5pt]{Line}{psplot{0}{5}{-x+2}}

psintersect[name=C]{Curve}{Line}

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

pscustom[fillcolor=red,fillstyle=solid,opacity=0.4]{%

  psplot{psGetNodeCenter{C1}C1.x}{psGetNodeCenter{C2}C2.x}{x*(x-6)+6}%

}

end{pspicture}

However, that one with pst-intersect works not with xelatex

share|improve this answer

edited Nov 20 '18 at 9:41

answered Nov 20 '18 at 9:05

Herbert

269k24408717

You have to define an area which will then be clipped. The area is build with connecting the first point with the last one. For a line you simply get an area of zero, and from this area nothing can be clipped!

With psline(0,2)(5,-3)(0,-3) I define a triangle. It is automatically a closed area becasue it draws a line from (0,-3) to (0,2).
And from that area the curve with {x*(x-6)+6} is clipping a part which will be filled.

documentclass[pstricks]{standalone}

usepackage{pst-plot}

begin{document}



begin{pspicture}[algebraic,plotstyle=curve](-2,-6)(6,6)

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

psclip{psline[linestyle=none](0,2)(5,-3)(0,-3)}

   psplot[fillstyle=vlines]{.5}{5}{x*(x-6)+6}

endpsclip

psplot[linewidth=1.5pt,linecolor=blue]{.5}{5}{x*(x-6)+6}

psline[linewidth=1.5pt](0,2)(5,-3)

rput[bl](1.5,1){$y=-x+2$}

rput[t](2,-3.1){$y=x^2-6x+6$}

end{pspicture}



end{document}

As an alternative you can calculate the intersectionpoints (needs package pst-intersect) and using pscustom

%%usepackage{pst-intersect} in the preamble

begin{pspicture}[algebraic](-2,-6)(6,6)

pssavepath[linewidth=1.5pt]{Curve}{psplot{.5}{5}{x*(x-6)+6}}

pssavepath[linewidth=1.5pt]{Line}{psplot{0}{5}{-x+2}}

psintersect[name=C]{Curve}{Line}

psaxes{->}(0,0)(-2,-4)(5.5,4)[$x$,0][$y$,90]

pscustom[fillcolor=red,fillstyle=solid,opacity=0.4]{%

  psplot{psGetNodeCenter{C1}C1.x}{psGetNodeCenter{C2}C2.x}{x*(x-6)+6}%

}

end{pspicture}

However, that one with pst-intersect works not with xelatex

share|improve this answer

edited Nov 20 '18 at 9:41

answered Nov 20 '18 at 9:05

Herbert

269k24408717

share|improve this answer

share|improve this answer

edited Nov 20 '18 at 9:41

edited Nov 20 '18 at 9:41

edited Nov 20 '18 at 9:41

answered Nov 20 '18 at 9:05

Herbert

269k24408717

answered Nov 20 '18 at 9:05

Herbert

269k24408717

answered Nov 20 '18 at 9:05

Herbert

269k24408717

269k24408717

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I understanded what you directing. And together Artificial Stupidity's anwser, I have more knowledge myseft.
  – chishimotoji
  Nov 20 '18 at 9:23
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  I understanded what you directing. And together Artificial Stupidity's anwser, I have more knowledge myseft.
  – chishimotoji
  Nov 20 '18 at 9:23
  

  
  
  
  

I understanded what you directing. And together Artificial Stupidity's anwser, I have more knowledge myseft.
– chishimotoji
Nov 20 '18 at 9:23

I understanded what you directing. And together Artificial Stupidity's anwser, I have more knowledge myseft.
– chishimotoji
Nov 20 '18 at 9:23

add a comment | 

3

Generic Template

Proposed features:

• functions are defined globally so you can change easily.


• intersection points are calculated at "runtime" as opposed to statically hard coded.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-eucl,pst-plot}





deff(#1){((#1)^2-6*(#1)+6)}

defg(#1){(2-(#1))}



begin{document}

begin{pspicture}[algebraic,saveNodeCoors,PointSymbol=none,PointName=none](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pstInterFF{f(x)}{g(x)}{0}{A}

    pstInterFF{f(x)}{g(x)}{5}{B}

    pscustom*[linecolor=yellow!50]{%

        psplot{N-A.x}{N-B.x}{f(x)}

        psplot{N-B.x}{N-A.x}{g(x)}

        closepath

    }

    psset{linewidth=2pt,linecolor=cyan}

    psplot{.5}{5}{f(x)}

    psplot{-.5}{5}{g(x)}

    uput[-90](*5 {g(x)}){$y=-x+2$}

    uput[45](*.7 {f(x)}){$y=x^2-6x+6$}

end{pspicture}

end{document}

Statically hard-coded Version

Cons: you have to calculate the intersection points in advance by hands.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-plot}



deff{x^2-6*x+6}

defg{2-x}



begin{document}

begin{pspicture}[algebraic](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pscustom[fillstyle=vlines,hatchcolor=red,hatchsep=0.8pt]{psplot{1}{4}{f}psplot{4}{1}{g}}

    psset{linewidth=2pt,linecolor=blue}

    psplot{.5}{5}{f}

    psplot{-.5}{5}{g}

    uput[-90](*5 {g}){$y=-x+2$}

    uput[45](*.7 {f}){$y=x^2-6x+6$}

end{pspicture}

end{document}

share|improve this answer

edited Nov 20 '18 at 9:21

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

add a comment | 

3

Generic Template

Proposed features:

• functions are defined globally so you can change easily.


• intersection points are calculated at "runtime" as opposed to statically hard coded.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-eucl,pst-plot}





deff(#1){((#1)^2-6*(#1)+6)}

defg(#1){(2-(#1))}



begin{document}

begin{pspicture}[algebraic,saveNodeCoors,PointSymbol=none,PointName=none](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pstInterFF{f(x)}{g(x)}{0}{A}

    pstInterFF{f(x)}{g(x)}{5}{B}

    pscustom*[linecolor=yellow!50]{%

        psplot{N-A.x}{N-B.x}{f(x)}

        psplot{N-B.x}{N-A.x}{g(x)}

        closepath

    }

    psset{linewidth=2pt,linecolor=cyan}

    psplot{.5}{5}{f(x)}

    psplot{-.5}{5}{g(x)}

    uput[-90](*5 {g(x)}){$y=-x+2$}

    uput[45](*.7 {f(x)}){$y=x^2-6x+6$}

end{pspicture}

end{document}

Statically hard-coded Version

Cons: you have to calculate the intersection points in advance by hands.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-plot}



deff{x^2-6*x+6}

defg{2-x}



begin{document}

begin{pspicture}[algebraic](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pscustom[fillstyle=vlines,hatchcolor=red,hatchsep=0.8pt]{psplot{1}{4}{f}psplot{4}{1}{g}}

    psset{linewidth=2pt,linecolor=blue}

    psplot{.5}{5}{f}

    psplot{-.5}{5}{g}

    uput[-90](*5 {g}){$y=-x+2$}

    uput[45](*.7 {f}){$y=x^2-6x+6$}

end{pspicture}

end{document}

share|improve this answer

edited Nov 20 '18 at 9:21

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

add a comment | 

3

3

3

Generic Template

Proposed features:

• functions are defined globally so you can change easily.


• intersection points are calculated at "runtime" as opposed to statically hard coded.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-eucl,pst-plot}





deff(#1){((#1)^2-6*(#1)+6)}

defg(#1){(2-(#1))}



begin{document}

begin{pspicture}[algebraic,saveNodeCoors,PointSymbol=none,PointName=none](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pstInterFF{f(x)}{g(x)}{0}{A}

    pstInterFF{f(x)}{g(x)}{5}{B}

    pscustom*[linecolor=yellow!50]{%

        psplot{N-A.x}{N-B.x}{f(x)}

        psplot{N-B.x}{N-A.x}{g(x)}

        closepath

    }

    psset{linewidth=2pt,linecolor=cyan}

    psplot{.5}{5}{f(x)}

    psplot{-.5}{5}{g(x)}

    uput[-90](*5 {g(x)}){$y=-x+2$}

    uput[45](*.7 {f(x)}){$y=x^2-6x+6$}

end{pspicture}

end{document}

Statically hard-coded Version

Cons: you have to calculate the intersection points in advance by hands.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-plot}



deff{x^2-6*x+6}

defg{2-x}



begin{document}

begin{pspicture}[algebraic](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pscustom[fillstyle=vlines,hatchcolor=red,hatchsep=0.8pt]{psplot{1}{4}{f}psplot{4}{1}{g}}

    psset{linewidth=2pt,linecolor=blue}

    psplot{.5}{5}{f}

    psplot{-.5}{5}{g}

    uput[-90](*5 {g}){$y=-x+2$}

    uput[45](*.7 {f}){$y=x^2-6x+6$}

end{pspicture}

end{document}

share|improve this answer

edited Nov 20 '18 at 9:21

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

Generic Template

Proposed features:

• functions are defined globally so you can change easily.


• intersection points are calculated at "runtime" as opposed to statically hard coded.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-eucl,pst-plot}





deff(#1){((#1)^2-6*(#1)+6)}

defg(#1){(2-(#1))}



begin{document}

begin{pspicture}[algebraic,saveNodeCoors,PointSymbol=none,PointName=none](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pstInterFF{f(x)}{g(x)}{0}{A}

    pstInterFF{f(x)}{g(x)}{5}{B}

    pscustom*[linecolor=yellow!50]{%

        psplot{N-A.x}{N-B.x}{f(x)}

        psplot{N-B.x}{N-A.x}{g(x)}

        closepath

    }

    psset{linewidth=2pt,linecolor=cyan}

    psplot{.5}{5}{f(x)}

    psplot{-.5}{5}{g(x)}

    uput[-90](*5 {g(x)}){$y=-x+2$}

    uput[45](*.7 {f(x)}){$y=x^2-6x+6$}

end{pspicture}

end{document}

Statically hard-coded Version

Cons: you have to calculate the intersection points in advance by hands.

documentclass[pstricks,border=12pt]{standalone}

usepackage{pst-plot}



deff{x^2-6*x+6}

defg{2-x}



begin{document}

begin{pspicture}[algebraic](-1,-3.5)(6,4)

    psaxes{->}(0,0)(-.5,-3.5)(5.5,3.5)[$x$,0][$y$,90]

    pscustom[fillstyle=vlines,hatchcolor=red,hatchsep=0.8pt]{psplot{1}{4}{f}psplot{4}{1}{g}}

    psset{linewidth=2pt,linecolor=blue}

    psplot{.5}{5}{f}

    psplot{-.5}{5}{g}

    uput[-90](*5 {g}){$y=-x+2$}

    uput[45](*.7 {f}){$y=x^2-6x+6$}

end{pspicture}

end{document}

share|improve this answer

edited Nov 20 '18 at 9:21

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

share|improve this answer

share|improve this answer

edited Nov 20 '18 at 9:21

edited Nov 20 '18 at 9:21

edited Nov 20 '18 at 9:21

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

answered Nov 20 '18 at 8:55

God Must Be Crazy

5,60511039

5,60511039

add a comment | 

add a comment | 

Thanks for contributing an answer to TeX - LaTeX Stack Exchange!

• Please be sure to answer the question. Provide details and share your research!

But avoid …

• Asking for help, clarification, or responding to other answers.


• Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.

Some of your past answers have not been well-received, and you're in danger of being blocked from answering.

Please pay close attention to the following guidance:

• Please be sure to answer the question. Provide details and share your research!

But avoid …

• Asking for help, clarification, or responding to other answers.


• Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.

draft saved

draft discarded

Thanks for contributing an answer to TeX - LaTeX Stack Exchange!

• Please be sure to answer the question. Provide details and share your research!

But avoid …

• Asking for help, clarification, or responding to other answers.


• Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.

Some of your past answers have not been well-received, and you're in danger of being blocked from answering.

Please pay close attention to the following guidance:

• Please be sure to answer the question. Provide details and share your research!

But avoid …

• Asking for help, clarification, or responding to other answers.


• Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f460890%2fhow-to-raster-area-bounded-by-two-functions%23new-answer', 'question_page');
}
);

Post as a guest

Name

Email

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

Name

Name

Email

Required, but never shown

Email

Required, but never shown

Email

Required, but never shown

Email

Required, but never shown

Name

Name

Email

Required, but never shown

Email

Required, but never shown

Email

Required, but never shown

Email

Required, but never shown

This page is only for reference, If you need detailed information, please check here