Mixing
How to plot function sin(x)^2 / x^2
The above function looks like this:
However, using tikzpicture with addplot
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Gives the following disturbing result:
How should I plot sin(x)^2 / x^2 in tikz?
tikz-pgf gnuplot
asked Nov 20 '18 at 10:48
MrMartin
1038
|
show 3 more comments
The above function looks like this:
However, using tikzpicture with addplot
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Gives the following disturbing result:
How should I plot sin(x)^2 / x^2 in tikz?
tikz-pgf gnuplot
asked Nov 20 '18 at 10:48
MrMartin
1038
3
(1) welcome, (2) as always on this site you are much much more likely to get help if you provide a full minimal example that others can copy and test as is. Then they will not have to guess 80% of your setup.
– daleif
Nov 20 '18 at 10:53
1
Thanks for the tip, I've done that now!
– MrMartin
Nov 20 '18 at 10:57
8
Try more samples andsin(deg(x))
– daleif
Nov 20 '18 at 10:58
Yes, it seems sin(deg(x)) is required when plotting sin(x). Thanks!
– MrMartin
Nov 20 '18 at 11:23
1
@daleif Damn! I did not see your comment :) Also sampling is just as fine, as it is now. Onlydeg(...)is necessary withsin.
– Raaja
Nov 20 '18 at 11:41
|
show 3 more comments
The above function looks like this:
However, using tikzpicture with addplot
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Gives the following disturbing result:
How should I plot sin(x)^2 / x^2 in tikz?
tikz-pgf gnuplot
asked Nov 20 '18 at 10:48
MrMartin
1038
The above function looks like this:
However, using tikzpicture with addplot
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Gives the following disturbing result:
How should I plot sin(x)^2 / x^2 in tikz?
tikz-pgf gnuplot
tikz-pgf gnuplot
asked Nov 20 '18 at 10:48
MrMartin
1038
asked Nov 20 '18 at 10:48
MrMartin
1038
edited Nov 20 '18 at 10:56
asked Nov 20 '18 at 10:48
MrMartin
1038
asked Nov 20 '18 at 10:48
MrMartin
1038
asked Nov 20 '18 at 10:48
MrMartin
1038
1038
3
(1) welcome, (2) as always on this site you are much much more likely to get help if you provide a full minimal example that others can copy and test as is. Then they will not have to guess 80% of your setup.
– daleif
Nov 20 '18 at 10:53
1
Thanks for the tip, I've done that now!
– MrMartin
Nov 20 '18 at 10:57
8
Try more samples andsin(deg(x))
– daleif
Nov 20 '18 at 10:58
Yes, it seems sin(deg(x)) is required when plotting sin(x). Thanks!
– MrMartin
Nov 20 '18 at 11:23
1
@daleif Damn! I did not see your comment :) Also sampling is just as fine, as it is now. Onlydeg(...)is necessary withsin.
– Raaja
Nov 20 '18 at 11:41
|
show 3 more comments
3
(1) welcome, (2) as always on this site you are much much more likely to get help if you provide a full minimal example that others can copy and test as is. Then they will not have to guess 80% of your setup.
– daleif
Nov 20 '18 at 10:53
1
Thanks for the tip, I've done that now!
– MrMartin
Nov 20 '18 at 10:57
8
Try more samples andsin(deg(x))
– daleif
Nov 20 '18 at 10:58
Yes, it seems sin(deg(x)) is required when plotting sin(x). Thanks!
– MrMartin
Nov 20 '18 at 11:23
1
@daleif Damn! I did not see your comment :) Also sampling is just as fine, as it is now. Onlydeg(...)is necessary withsin.
– Raaja
Nov 20 '18 at 11:41
3
3
(1) welcome, (2) as always on this site you are much much more likely to get help if you provide a full minimal example that others can copy and test as is. Then they will not have to guess 80% of your setup.
– daleif
Nov 20 '18 at 10:53
(1) welcome, (2) as always on this site you are much much more likely to get help if you provide a full minimal example that others can copy and test as is. Then they will not have to guess 80% of your setup.
– daleif
Nov 20 '18 at 10:53
1
1
Thanks for the tip, I've done that now!
– MrMartin
Nov 20 '18 at 10:57
Thanks for the tip, I've done that now!
– MrMartin
Nov 20 '18 at 10:57
8
8
Try more samples and
sin(deg(x))– daleif
Nov 20 '18 at 10:58
Try more samples and
sin(deg(x))– daleif
Nov 20 '18 at 10:58
Yes, it seems sin(deg(x)) is required when plotting sin(x). Thanks!
– MrMartin
Nov 20 '18 at 11:23
Yes, it seems sin(deg(x)) is required when plotting sin(x). Thanks!
– MrMartin
Nov 20 '18 at 11:23
1
1
@daleif Damn! I did not see your comment :) Also sampling is just as fine, as it is now. Only
deg(...) is necessary with sin.– Raaja
Nov 20 '18 at 11:41
@daleif Damn! I did not see your comment :) Also sampling is just as fine, as it is now. Only
deg(...) is necessary with sin.– Raaja
Nov 20 '18 at 11:41
|
show 3 more comments
3 Answers
3
active
oldest
votes
As commented by @daleif, the problem is that the trigonometric functions in pgfplots are defined with the argument in degrees, not in radians. So you are calculating the function really near zero, and you have huge rounding errors (and wrong scale...).
You can use sin(deg(x)) to do the conversion, or globally switch with pgfplotsset{trig format=rad}.
Notice however that the manual states:
/pgf/trig format=deg|red [sic, should be rad]
Allows to reconfigure
the trigonometric format for all user arguments. This affects all user
arguments including view, Tik Z polar coordinates, pins of nodes,
start/end angles for edges, etc. At the time of this writing, this
feature is in experimental state: it can happen that it breaks Tik Z
internals. Please handle with care and report any bugs.
In this case it works:
documentclass[margin=10pt]{standalone}
usepackage{pgfplots}pgfplotsset{compat=newest}
usepackage{tikz}
begin{document}
pgfplotsset{trig format=rad}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Notice also that you have to avoid the point x=0 in your drawing, where the function is undefined... this is with:
addplot[domain=-6:6,samples=151,smooth,red] { (sin(x)^2)/pow(x,2) };
answered Nov 20 '18 at 16:31
Rmano
7,75221647
add a comment |
A PSTricks solution for comparison purpose only.
documentclass[pstricks,border=12pt]{standalone}
usepackage{pst-plot}
deff{(sin(x)/x)^2}
psset
{
yunit=4cm,
xunit=.5cm
}
begin{document}
begin{pspicture}[algebraic,plotpoints=200](-12,-.1)(12.5,1.2)
psaxes[Dx=5]{->}(0,0)(-12,-.1)(12,1.1)[$x$,0][$y$,90]
psplot[linecolor=blue]{-12}{12}{f}
uput[45](*.7 {f}){$displaystyle f(x)=frac{sin^2(x)}{x^2}$}
end{pspicture}
end{document}
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
add a comment |
It seems that the problem is with pgfplots, and it can be solved by switching to gnuplot:
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot [no markers] gnuplot [domain=-6:6, samples=50] {sin(x)**2/x**2};
end{axis}
end{tikzpicture}
end{document}
answered Nov 20 '18 at 11:01
MrMartin
1038
1
Nope, works just fine for me without gnuplot.
– daleif
Nov 20 '18 at 11:17
add a comment |
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
As commented by @daleif, the problem is that the trigonometric functions in pgfplots are defined with the argument in degrees, not in radians. So you are calculating the function really near zero, and you have huge rounding errors (and wrong scale...).
You can use sin(deg(x)) to do the conversion, or globally switch with pgfplotsset{trig format=rad}.
Notice however that the manual states:
/pgf/trig format=deg|red [sic, should be rad]
Allows to reconfigure
the trigonometric format for all user arguments. This affects all user
arguments including view, Tik Z polar coordinates, pins of nodes,
start/end angles for edges, etc. At the time of this writing, this
feature is in experimental state: it can happen that it breaks Tik Z
internals. Please handle with care and report any bugs.
In this case it works:
documentclass[margin=10pt]{standalone}
usepackage{pgfplots}pgfplotsset{compat=newest}
usepackage{tikz}
begin{document}
pgfplotsset{trig format=rad}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Notice also that you have to avoid the point x=0 in your drawing, where the function is undefined... this is with:
addplot[domain=-6:6,samples=151,smooth,red] { (sin(x)^2)/pow(x,2) };
answered Nov 20 '18 at 16:31
Rmano
7,75221647
add a comment |
As commented by @daleif, the problem is that the trigonometric functions in pgfplots are defined with the argument in degrees, not in radians. So you are calculating the function really near zero, and you have huge rounding errors (and wrong scale...).
You can use sin(deg(x)) to do the conversion, or globally switch with pgfplotsset{trig format=rad}.
Notice however that the manual states:
/pgf/trig format=deg|red [sic, should be rad]
Allows to reconfigure
the trigonometric format for all user arguments. This affects all user
arguments including view, Tik Z polar coordinates, pins of nodes,
start/end angles for edges, etc. At the time of this writing, this
feature is in experimental state: it can happen that it breaks Tik Z
internals. Please handle with care and report any bugs.
In this case it works:
documentclass[margin=10pt]{standalone}
usepackage{pgfplots}pgfplotsset{compat=newest}
usepackage{tikz}
begin{document}
pgfplotsset{trig format=rad}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Notice also that you have to avoid the point x=0 in your drawing, where the function is undefined... this is with:
addplot[domain=-6:6,samples=151,smooth,red] { (sin(x)^2)/pow(x,2) };
answered Nov 20 '18 at 16:31
Rmano
7,75221647
add a comment |
As commented by @daleif, the problem is that the trigonometric functions in pgfplots are defined with the argument in degrees, not in radians. So you are calculating the function really near zero, and you have huge rounding errors (and wrong scale...).
You can use sin(deg(x)) to do the conversion, or globally switch with pgfplotsset{trig format=rad}.
Notice however that the manual states:
/pgf/trig format=deg|red [sic, should be rad]
Allows to reconfigure
the trigonometric format for all user arguments. This affects all user
arguments including view, Tik Z polar coordinates, pins of nodes,
start/end angles for edges, etc. At the time of this writing, this
feature is in experimental state: it can happen that it breaks Tik Z
internals. Please handle with care and report any bugs.
In this case it works:
documentclass[margin=10pt]{standalone}
usepackage{pgfplots}pgfplotsset{compat=newest}
usepackage{tikz}
begin{document}
pgfplotsset{trig format=rad}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Notice also that you have to avoid the point x=0 in your drawing, where the function is undefined... this is with:
addplot[domain=-6:6,samples=151,smooth,red] { (sin(x)^2)/pow(x,2) };
answered Nov 20 '18 at 16:31
Rmano
7,75221647
As commented by @daleif, the problem is that the trigonometric functions in pgfplots are defined with the argument in degrees, not in radians. So you are calculating the function really near zero, and you have huge rounding errors (and wrong scale...).
You can use sin(deg(x)) to do the conversion, or globally switch with pgfplotsset{trig format=rad}.
Notice however that the manual states:
/pgf/trig format=deg|red [sic, should be rad]
Allows to reconfigure
the trigonometric format for all user arguments. This affects all user
arguments including view, Tik Z polar coordinates, pins of nodes,
start/end angles for edges, etc. At the time of this writing, this
feature is in experimental state: it can happen that it breaks Tik Z
internals. Please handle with care and report any bugs.
In this case it works:
documentclass[margin=10pt]{standalone}
usepackage{pgfplots}pgfplotsset{compat=newest}
usepackage{tikz}
begin{document}
pgfplotsset{trig format=rad}
begin{tikzpicture}
begin{axis}
addplot[domain=-6:6,samples=50,smooth,red] { (sin(x)^2)/pow(x,2) };
end{axis}
end{tikzpicture}
end{document}
Notice also that you have to avoid the point x=0 in your drawing, where the function is undefined... this is with:
addplot[domain=-6:6,samples=151,smooth,red] { (sin(x)^2)/pow(x,2) };
answered Nov 20 '18 at 16:31
Rmano
7,75221647
answered Nov 20 '18 at 16:31
Rmano
7,75221647
answered Nov 20 '18 at 16:31
Rmano
7,75221647
answered Nov 20 '18 at 16:31
Rmano
7,75221647
7,75221647
add a comment |
add a comment |
A PSTricks solution for comparison purpose only.
documentclass[pstricks,border=12pt]{standalone}
usepackage{pst-plot}
deff{(sin(x)/x)^2}
psset
{
yunit=4cm,
xunit=.5cm
}
begin{document}
begin{pspicture}[algebraic,plotpoints=200](-12,-.1)(12.5,1.2)
psaxes[Dx=5]{->}(0,0)(-12,-.1)(12,1.1)[$x$,0][$y$,90]
psplot[linecolor=blue]{-12}{12}{f}
uput[45](*.7 {f}){$displaystyle f(x)=frac{sin^2(x)}{x^2}$}
end{pspicture}
end{document}
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
add a comment |
A PSTricks solution for comparison purpose only.
documentclass[pstricks,border=12pt]{standalone}
usepackage{pst-plot}
deff{(sin(x)/x)^2}
psset
{
yunit=4cm,
xunit=.5cm
}
begin{document}
begin{pspicture}[algebraic,plotpoints=200](-12,-.1)(12.5,1.2)
psaxes[Dx=5]{->}(0,0)(-12,-.1)(12,1.1)[$x$,0][$y$,90]
psplot[linecolor=blue]{-12}{12}{f}
uput[45](*.7 {f}){$displaystyle f(x)=frac{sin^2(x)}{x^2}$}
end{pspicture}
end{document}
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
add a comment |
A PSTricks solution for comparison purpose only.
documentclass[pstricks,border=12pt]{standalone}
usepackage{pst-plot}
deff{(sin(x)/x)^2}
psset
{
yunit=4cm,
xunit=.5cm
}
begin{document}
begin{pspicture}[algebraic,plotpoints=200](-12,-.1)(12.5,1.2)
psaxes[Dx=5]{->}(0,0)(-12,-.1)(12,1.1)[$x$,0][$y$,90]
psplot[linecolor=blue]{-12}{12}{f}
uput[45](*.7 {f}){$displaystyle f(x)=frac{sin^2(x)}{x^2}$}
end{pspicture}
end{document}
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
A PSTricks solution for comparison purpose only.
documentclass[pstricks,border=12pt]{standalone}
usepackage{pst-plot}
deff{(sin(x)/x)^2}
psset
{
yunit=4cm,
xunit=.5cm
}
begin{document}
begin{pspicture}[algebraic,plotpoints=200](-12,-.1)(12.5,1.2)
psaxes[Dx=5]{->}(0,0)(-12,-.1)(12,1.1)[$x$,0][$y$,90]
psplot[linecolor=blue]{-12}{12}{f}
uput[45](*.7 {f}){$displaystyle f(x)=frac{sin^2(x)}{x^2}$}
end{pspicture}
end{document}
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
edited Nov 20 '18 at 11:15
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
answered Nov 20 '18 at 11:01
God Must Be Crazy
5,64011039
5,64011039
add a comment |
add a comment |
It seems that the problem is with pgfplots, and it can be solved by switching to gnuplot:
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot [no markers] gnuplot [domain=-6:6, samples=50] {sin(x)**2/x**2};
end{axis}
end{tikzpicture}
end{document}
answered Nov 20 '18 at 11:01
MrMartin
1038
1
Nope, works just fine for me without gnuplot.
– daleif
Nov 20 '18 at 11:17
add a comment |
It seems that the problem is with pgfplots, and it can be solved by switching to gnuplot:
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot [no markers] gnuplot [domain=-6:6, samples=50] {sin(x)**2/x**2};
end{axis}
end{tikzpicture}
end{document}
answered Nov 20 '18 at 11:01
MrMartin
1038
1
Nope, works just fine for me without gnuplot.
– daleif
Nov 20 '18 at 11:17
add a comment |
It seems that the problem is with pgfplots, and it can be solved by switching to gnuplot:
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot [no markers] gnuplot [domain=-6:6, samples=50] {sin(x)**2/x**2};
end{axis}
end{tikzpicture}
end{document}
answered Nov 20 '18 at 11:01
MrMartin
1038
It seems that the problem is with pgfplots, and it can be solved by switching to gnuplot:
documentclass[11pt]{article}
usepackage{pgfplots}
usepackage{tikz}
begin{document}
begin{tikzpicture}
begin{axis}
addplot [no markers] gnuplot [domain=-6:6, samples=50] {sin(x)**2/x**2};
end{axis}
end{tikzpicture}
end{document}
answered Nov 20 '18 at 11:01
MrMartin
1038
answered Nov 20 '18 at 11:01
MrMartin
1038
answered Nov 20 '18 at 11:01
MrMartin
1038
answered Nov 20 '18 at 11:01
MrMartin
1038
1038
1
Nope, works just fine for me without gnuplot.
– daleif
Nov 20 '18 at 11:17
add a comment |
1
Nope, works just fine for me without gnuplot.
– daleif
Nov 20 '18 at 11:17
1
1
Nope, works just fine for me without gnuplot.
– daleif
Nov 20 '18 at 11:17
Nope, works just fine for me without gnuplot.
– daleif
Nov 20 '18 at 11:17
add a comment |
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3
(1) welcome, (2) as always on this site you are much much more likely to get help if you provide a full minimal example that others can copy and test as is. Then they will not have to guess 80% of your setup.
– daleif
Nov 20 '18 at 10:53
1
Thanks for the tip, I've done that now!
– MrMartin
Nov 20 '18 at 10:57
8
Try more samples and
sin(deg(x))– daleif
Nov 20 '18 at 10:58
Yes, it seems sin(deg(x)) is required when plotting sin(x). Thanks!
– MrMartin
Nov 20 '18 at 11:23
1
@daleif Damn! I did not see your comment :) Also sampling is just as fine, as it is now. Only
deg(...)is necessary withsin.– Raaja
Nov 20 '18 at 11:41