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Drawing a function without knowing its definition

Tikz: Drawing tangent to S-shaped (logistic) functionTikZ: Thales circle, radius unknownBasic skills needed to draw simple functions like polynomials, trigonometry, exponential, logarithm, etcMacros/encapsulation in TIKZDrawing a torso with a head (using draw)Text along a Peano Curve in LaTeX for cover pagetikz/pgf low-level path drawing from list of coordinates and aestheticsDrawing a curve knowing its parametric equationsError in TikZ using defined coordinates with draw to [in= , out=] syntaxFill area of the spectral curve with CIE Chromaticity fading to generate a CIE Chromaticity Diagram in pgfplotsdrawing circles and squares with TikZ

6

1

I don't know tikz in depth. So I barely can play with it. The following is a transfer characteristic of an inverter gate. I have researched the internet to find the function's explicit definition but in vain.

I am trying to draw the curve, without knowing the definition. Yet there is one requirement: the slope at two points of the curve is -1.

I would be so happy of any help.

tikz-pgf graphics draw tikz-graphdrawing engineering

share|improve this question

edited 7 hours ago

mandresybilly

asked 9 hours ago

mandresybillymandresybilly

14312

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  You can draw a set of connected curves. With in and out in TikZ, the slope = -1 is easy to achieve.
  
  – JouleV
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Can you refer me examples of how it's used? It is foreign to me.
  
  – mandresybilly
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @JouleV On this handout I found a way to draw a function by specifying discrete points and let PGF/Tikz draw the rest. Yet, I don't know in and out. Coud you please help me on this? Thanks in advance.
  
  – mandresybilly
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  do you have any more information about the function? this would probably help others in answering your question, i.e. finding the composite curve equation. I am far from being an expert, but I believe, without the equation, you might be better off drawing the curve in e.g. inkscape and then including it in your LaTeX document. Do you have any code to show that shows what you have tried, yet?
  
  – thymaro
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  oh ok, then the presenter should have the equation, I hope. For general information on how to use tikz, I recommend youtube tutorials and/or texample.net/tikz/examples
  
  – thymaro
  7 hours ago
  

  
  
  
  

 | 
show 6 more comments

6

1

I don't know tikz in depth. So I barely can play with it. The following is a transfer characteristic of an inverter gate. I have researched the internet to find the function's explicit definition but in vain.

I am trying to draw the curve, without knowing the definition. Yet there is one requirement: the slope at two points of the curve is -1.

I would be so happy of any help.

tikz-pgf graphics draw tikz-graphdrawing engineering

share|improve this question

edited 7 hours ago

mandresybilly

asked 9 hours ago

mandresybillymandresybilly

14312

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  You can draw a set of connected curves. With in and out in TikZ, the slope = -1 is easy to achieve.
  
  – JouleV
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Can you refer me examples of how it's used? It is foreign to me.
  
  – mandresybilly
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @JouleV On this handout I found a way to draw a function by specifying discrete points and let PGF/Tikz draw the rest. Yet, I don't know in and out. Coud you please help me on this? Thanks in advance.
  
  – mandresybilly
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  do you have any more information about the function? this would probably help others in answering your question, i.e. finding the composite curve equation. I am far from being an expert, but I believe, without the equation, you might be better off drawing the curve in e.g. inkscape and then including it in your LaTeX document. Do you have any code to show that shows what you have tried, yet?
  
  – thymaro
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  oh ok, then the presenter should have the equation, I hope. For general information on how to use tikz, I recommend youtube tutorials and/or texample.net/tikz/examples
  
  – thymaro
  7 hours ago
  

  
  
  
  

 | 
show 6 more comments

I don't know tikz in depth. So I barely can play with it. The following is a transfer characteristic of an inverter gate. I have researched the internet to find the function's explicit definition but in vain.

I am trying to draw the curve, without knowing the definition. Yet there is one requirement: the slope at two points of the curve is -1.

I would be so happy of any help.

tikz-pgf graphics draw tikz-graphdrawing engineering

share|improve this question

edited 7 hours ago

mandresybilly

asked 9 hours ago

mandresybillymandresybilly

14312

share|improve this question

edited 7 hours ago

mandresybilly

asked 9 hours ago

mandresybillymandresybilly

14312

share|improve this question

edited 7 hours ago

mandresybilly

asked 9 hours ago

mandresybillymandresybilly

14312

asked 9 hours ago

mandresybillymandresybilly

14312

asked 9 hours ago

mandresybillymandresybilly

14312

1 Answer
1

active

oldest

votes

10

Something like this?

documentclass[tikz,margin=3mm]{standalone}

usepackage{mathptmx}

begin{document}

begin{tikzpicture} 

defslope (#1,#2); {

    draw(#1-0.4,#2+0.4)--(#1+0.4,#2-0.4);

    draw (#1,#2) node[above right] {Slope $=-1$};

}

draw[-latex] (0,0) node[below left] {0}--(0,6) node[left] {$v_O$};

draw[-latex] (0,0)--(6,0) node[below] {$v_I$};

draw[dashed] (0,5) node[left] {$V_{OH}$}--(1.5,5)--(1.5,0) node[below] {$V_{IL}$};

draw[dashed] (0,2.5) node[left] {$V_M$}--(2.5,2.5)--(2.5,0) node[below] {$V_M$};

draw[dashed] (0,0.5) node[left] {$V_{OL}$}--(5,0.5)--(5,0) node[below] {$V_{OH}$};

draw (0.5,0) node[below] {$V_{OL}$}--(0.5,.1);

draw[dashed] (3.5,0) node[below] {$V_{IH}$}--(3.5,1);

draw[very thick,cyan] (5.5,.5)--(5,.5) to[out=180,in=-45] (3.5,1) to[out=135,in=-70] (2.5,2.5);

draw[very thick,cyan] (0,5)--(1.4,5) to[out=0,in=135] (1.6,4.9) to[out=-45,in=110] (2.5,2.5);

slope (1.5,5);

slope (3.5,1);

draw (0,0)--(4,4) node[above right] {Slope $=$ 1};

end{tikzpicture}

end{document}

It is not really a replicate of your figure, but I think it is close enough.

share|improve this answer

edited 5 hours ago

answered 6 hours ago

JouleVJouleV

3,7371936

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  You're so great. You were faster than me. I will spend the rest of the afternoon trying to reproduce and understand the lines of your code.
  
  – mandresybilly
  5 hours ago
  

  
  
  
  

add a comment | 

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10

Something like this?

documentclass[tikz,margin=3mm]{standalone}

usepackage{mathptmx}

begin{document}

begin{tikzpicture} 

defslope (#1,#2); {

    draw(#1-0.4,#2+0.4)--(#1+0.4,#2-0.4);

    draw (#1,#2) node[above right] {Slope $=-1$};

}

draw[-latex] (0,0) node[below left] {0}--(0,6) node[left] {$v_O$};

draw[-latex] (0,0)--(6,0) node[below] {$v_I$};

draw[dashed] (0,5) node[left] {$V_{OH}$}--(1.5,5)--(1.5,0) node[below] {$V_{IL}$};

draw[dashed] (0,2.5) node[left] {$V_M$}--(2.5,2.5)--(2.5,0) node[below] {$V_M$};

draw[dashed] (0,0.5) node[left] {$V_{OL}$}--(5,0.5)--(5,0) node[below] {$V_{OH}$};

draw (0.5,0) node[below] {$V_{OL}$}--(0.5,.1);

draw[dashed] (3.5,0) node[below] {$V_{IH}$}--(3.5,1);

draw[very thick,cyan] (5.5,.5)--(5,.5) to[out=180,in=-45] (3.5,1) to[out=135,in=-70] (2.5,2.5);

draw[very thick,cyan] (0,5)--(1.4,5) to[out=0,in=135] (1.6,4.9) to[out=-45,in=110] (2.5,2.5);

slope (1.5,5);

slope (3.5,1);

draw (0,0)--(4,4) node[above right] {Slope $=$ 1};

end{tikzpicture}

end{document}

It is not really a replicate of your figure, but I think it is close enough.

share|improve this answer

edited 5 hours ago

answered 6 hours ago

JouleVJouleV

3,7371936

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  You're so great. You were faster than me. I will spend the rest of the afternoon trying to reproduce and understand the lines of your code.
  
  – mandresybilly
  5 hours ago
  

  
  
  
  

add a comment | 

10

Something like this?

documentclass[tikz,margin=3mm]{standalone}

usepackage{mathptmx}

begin{document}

begin{tikzpicture} 

defslope (#1,#2); {

    draw(#1-0.4,#2+0.4)--(#1+0.4,#2-0.4);

    draw (#1,#2) node[above right] {Slope $=-1$};

}

draw[-latex] (0,0) node[below left] {0}--(0,6) node[left] {$v_O$};

draw[-latex] (0,0)--(6,0) node[below] {$v_I$};

draw[dashed] (0,5) node[left] {$V_{OH}$}--(1.5,5)--(1.5,0) node[below] {$V_{IL}$};

draw[dashed] (0,2.5) node[left] {$V_M$}--(2.5,2.5)--(2.5,0) node[below] {$V_M$};

draw[dashed] (0,0.5) node[left] {$V_{OL}$}--(5,0.5)--(5,0) node[below] {$V_{OH}$};

draw (0.5,0) node[below] {$V_{OL}$}--(0.5,.1);

draw[dashed] (3.5,0) node[below] {$V_{IH}$}--(3.5,1);

draw[very thick,cyan] (5.5,.5)--(5,.5) to[out=180,in=-45] (3.5,1) to[out=135,in=-70] (2.5,2.5);

draw[very thick,cyan] (0,5)--(1.4,5) to[out=0,in=135] (1.6,4.9) to[out=-45,in=110] (2.5,2.5);

slope (1.5,5);

slope (3.5,1);

draw (0,0)--(4,4) node[above right] {Slope $=$ 1};

end{tikzpicture}

end{document}

It is not really a replicate of your figure, but I think it is close enough.

share|improve this answer

edited 5 hours ago

answered 6 hours ago

JouleVJouleV

3,7371936

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  You're so great. You were faster than me. I will spend the rest of the afternoon trying to reproduce and understand the lines of your code.
  
  – mandresybilly
  5 hours ago
  

  
  
  
  

add a comment | 

Something like this?

documentclass[tikz,margin=3mm]{standalone}

usepackage{mathptmx}

begin{document}

begin{tikzpicture} 

defslope (#1,#2); {

    draw(#1-0.4,#2+0.4)--(#1+0.4,#2-0.4);

    draw (#1,#2) node[above right] {Slope $=-1$};

}

draw[-latex] (0,0) node[below left] {0}--(0,6) node[left] {$v_O$};

draw[-latex] (0,0)--(6,0) node[below] {$v_I$};

draw[dashed] (0,5) node[left] {$V_{OH}$}--(1.5,5)--(1.5,0) node[below] {$V_{IL}$};

draw[dashed] (0,2.5) node[left] {$V_M$}--(2.5,2.5)--(2.5,0) node[below] {$V_M$};

draw[dashed] (0,0.5) node[left] {$V_{OL}$}--(5,0.5)--(5,0) node[below] {$V_{OH}$};

draw (0.5,0) node[below] {$V_{OL}$}--(0.5,.1);

draw[dashed] (3.5,0) node[below] {$V_{IH}$}--(3.5,1);

draw[very thick,cyan] (5.5,.5)--(5,.5) to[out=180,in=-45] (3.5,1) to[out=135,in=-70] (2.5,2.5);

draw[very thick,cyan] (0,5)--(1.4,5) to[out=0,in=135] (1.6,4.9) to[out=-45,in=110] (2.5,2.5);

slope (1.5,5);

slope (3.5,1);

draw (0,0)--(4,4) node[above right] {Slope $=$ 1};

end{tikzpicture}

end{document}

It is not really a replicate of your figure, but I think it is close enough.

share|improve this answer

edited 5 hours ago

answered 6 hours ago

JouleVJouleV

3,7371936

documentclass[tikz,margin=3mm]{standalone}

usepackage{mathptmx}

begin{document}

begin{tikzpicture} 

defslope (#1,#2); {

    draw(#1-0.4,#2+0.4)--(#1+0.4,#2-0.4);

    draw (#1,#2) node[above right] {Slope $=-1$};

}

draw[-latex] (0,0) node[below left] {0}--(0,6) node[left] {$v_O$};

draw[-latex] (0,0)--(6,0) node[below] {$v_I$};

draw[dashed] (0,5) node[left] {$V_{OH}$}--(1.5,5)--(1.5,0) node[below] {$V_{IL}$};

draw[dashed] (0,2.5) node[left] {$V_M$}--(2.5,2.5)--(2.5,0) node[below] {$V_M$};

draw[dashed] (0,0.5) node[left] {$V_{OL}$}--(5,0.5)--(5,0) node[below] {$V_{OH}$};

draw (0.5,0) node[below] {$V_{OL}$}--(0.5,.1);

draw[dashed] (3.5,0) node[below] {$V_{IH}$}--(3.5,1);

draw[very thick,cyan] (5.5,.5)--(5,.5) to[out=180,in=-45] (3.5,1) to[out=135,in=-70] (2.5,2.5);

draw[very thick,cyan] (0,5)--(1.4,5) to[out=0,in=135] (1.6,4.9) to[out=-45,in=110] (2.5,2.5);

slope (1.5,5);

slope (3.5,1);

draw (0,0)--(4,4) node[above right] {Slope $=$ 1};

end{tikzpicture}

end{document}

share|improve this answer

edited 5 hours ago

answered 6 hours ago

JouleVJouleV

3,7371936

answered 6 hours ago

JouleVJouleV

3,7371936

answered 6 hours ago

JouleVJouleV

3,7371936