Making a scatter marker as large as the Axes - python

Im trying to scatter a single (square) marker such that it fills the whole figure (no more, no less).
As for simplification, I'm creating a figure such that x- and y- axes both go from -0.5 to 0.5. That is, the plotting area is the unit square, centred at the origin.
The marker now shall be scattered at the origin. What size should it be so that it occupies exactly the unit square?
I looked at this Finding the right marker size for a scatter plot and this pyplot scatter plot marker size but couldn't get it right so far.
This is what I tried:
fig, ax = plt.subplots(figsize=(4,4));
ax.set_aspect('equal');
ax.set_xlim(-0.5, 0.5);
ax.set_ylim(-0.5, 0.5);
figsize = fig.get_size_inches()[0]
dpi = fig.dpi
print(f'figsize = {int(figsize)}')
print(f'dpi = {int(dpi)}')
print(f'figure is {int(figsize*dpi)} x {int(figsize*dpi)} pixels\n')
print(f'setting the marker size to be {int(figsize*dpi)}**2 = {int((figsize*dpi)**2)}')
ax.scatter(0, 0, s=(figsize*dpi)**2, marker='s');
It turns out that the marker (blue area) does fill the unit square but it is actually filling way more than that. After manually trying different sizes, the right value seems to be around 46000 (opposed to the 82944 suggested at the second post).

You will need to apply the aspect, then get the axes width and transform it to display space (or transform the axes position first, then get its width). This can be used to calculate the width of the axes in units of points.
The square of that number is the markersize of the scatter if it shall be as large as the axes.
import matplotlib.pyplot as plt
fig, ax = plt.subplots(figsize=(4,4))
ax.set_xlim(-0.5, 0.5)
ax.set_ylim(-0.5, 0.5)
ax.set_aspect('equal')
ax.apply_aspect()
s = ax.get_position().transformed(fig.transFigure).width*72/fig.dpi
ax.scatter(0, 0, s=s**2, marker='s');
plt.show()

Related

How to create python imshow subplots with same pixel size

I'm trying to create imshow subplots with the same pixel size without having the figure height automatically scaled, but I haven't been able to figure out how.
Ideally, I'm looking for a plot similar to the second picture, without the extra white space (ylim going from -0.5 to 4.5) and maybe centered vertically. My pictures will always have the same width, so maybe if I could fix the subplot width instead of the height that would help. Does anyone have any ideas?
close('all')
f,ax=subplots(1,2)
ax[0].imshow(random.rand(30,4),interpolation='nearest')
ax[1].imshow(random.rand(4,4),interpolation='nearest')
tight_layout()
f,ax=subplots(1,2)
ax[0].imshow(random.rand(30,4),interpolation='nearest')
ax[1].imshow(random.rand(4,4),interpolation='nearest')
ax[1].set_ylim((29.5,-0.5))
tight_layout()
Plot without ylim adjustment:
Plot with ylim adjustment:
In principle you can just make the figure size small enough in width, such that it constrains the widths of the subplots. E.g. figsize=(2,7) would work here.
For an automated solution, you may adjust the subplot parameters, such that the left and right margin constrain the subplot width. This is shown in the code below.
It assumes that there is one row of subplots, and that all images have the same pixel number in horizontal direction.
import matplotlib.pyplot as plt
import numpy as np
fig, ax = plt.subplots(1,2)
im1 = ax[0].imshow(np.random.rand(30,4))
im2 = ax[1].imshow(np.random.rand(4,4))
def adjustw(images, wspace="auto"):
fig = images[0].axes.figure
if wspace=="auto":
wspace = fig.subplotpars.wspace
top = fig.subplotpars.top
bottom = fig.subplotpars.bottom
shapes = np.array([im.get_array().shape for im in images])
w,h = fig.get_size_inches()
imw = (top-bottom)*h/shapes[:,0].max()*shapes[0,1] #inch
n = len(shapes)
left = -((n+(n-1)*wspace)*imw/w - 1)/2.
right = 1.-left
fig.subplots_adjust(left=left, right=right, wspace=wspace)
adjustw([im1, im2], wspace=1)
plt.show()
If you need to use tight_layout(), do so before calling the function. Also you would then definitely need to set the only free parameter here, wspace to something other than "auto". wspace=1 means to have as much space between the plots as their width.
The result is a figure where the subplots have the same size in width.

Matplotlib: Constrain plot width while allowing flexible height

What I would like to achive are plots with equal scale aspect ratio, and fixed width, but a dynamically chosen height.
To make this more concrete, consider the following plotting example:
import matplotlib as mpl
import matplotlib.pyplot as plt
def example_figure(slope):
# Create a new figure
fig = plt.figure()
ax = fig.add_subplot(111)
# Set axes to equal aspect ratio
ax.set_aspect('equal')
# Plot a line with a given slope,
# starting from the origin
ax.plot([x * slope for x in range(5)])
# Output the result
return fig
This example code will result in figures of different widths, depending on the data:
example_figure(1).show()
example_figure(2).show()
Matplotlib seems to fit the plots into a certain height, and then chooses the width to accomodate the aspect ratio. The ideal outcome for me would be the opposite -- the two plots above would have the same width, but the second plot would be twice as tall as the first.
Bonus — Difficulty level: Gridspec
In the long run, I would like to create a grid in which one of the plots has a fixed aspect ratio, and I would again like to align the graphs exactly.
# Create a 2x1 grid
import matplotlib.gridspec as gridspec
gs = gridspec.GridSpec(2, 1)
# Create the overall graphic, containing
# the top and bottom figures
fig = plt.figure()
ax1 = fig.add_subplot(gs[0, :], aspect='equal')
ax2 = fig.add_subplot(gs[1, :])
# Plot the lines as before
ax1.plot(range(5))
ax2.plot(range(5))
# Show the figure
fig.show()
The result is this:
So again, my question is: How does one create graphs that vary flexibly in height depending on the data, while having a fixed width?
Two points to avoid potential misunderstandings:
In the above example, both graphs have the same x-axis. This cannot be
taken for granted.
I am aware of the height_ratios option in the gridspec. I can compute
the dimensions of the data, and set the ratios, but this unfortunately
does not control the graphs directly, but rather their bounding boxes,
so (depending on the axis labels), graphs of different widths still occur.
Ideally, the plots' canvas would be aligned exactly.
Another unsolved question is similar, but slightly more convoluted.
Any ideas and suggestions are very welcome, and I'm happy to specify the question further, if required. Thank you very much for considering this!
Have you tried to fix the width with fig.set_figwidth()?

Matplotlib: Adjust legend location/position

I'm creating a figure with multiple subplots. One of these subplots is giving me some trouble, as none of the axes corners or centers are free (or can be freed up) for placing the legend. What I'd like to do is to have the legend placed somewhere in between the 'upper left' and 'center left' locations, while keeping the padding between it and the y-axis equal to the legends in the other subplots (that are placed using one of the predefined legend location keywords).
I know I can specify a custom position by using loc=(x,y), but then I can't figure out how to get the padding between the legend and the y-axis to be equal to that used by the other legends. Would it be possible to somehow use the borderaxespad property of the first legend? Though I'm not succeeding at getting that to work.
Any suggestions would be most welcome!
Edit: Here is a (very simplified) illustration of the problem:
import matplotlib.pyplot as plt
fig, ax = plt.subplots(1, 2, sharex=False, sharey=False)
ax[0].axhline(y=1, label='one')
ax[0].axhline(y=2, label='two')
ax[0].set_ylim([0.8,3.2])
ax[0].legend(loc=2)
ax[1].axhline(y=1, label='one')
ax[1].axhline(y=2, label='two')
ax[1].axhline(y=3, label='three')
ax[1].set_ylim([0.8,3.2])
ax[1].legend(loc=2)
plt.show()
What I'd like is that the legend in the right plot is moved down somewhat so it no longer overlaps with the line.
As a last resort I could change the axis limits, but I would very much like to avoid that.
I saw the answer you posted and tried it out. The problem however is that it is also depended on the figure size.
Here's a new try:
import numpy
import matplotlib.pyplot as plt
x = numpy.linspace(0, 10, 10000)
y = numpy.cos(x) + 2.
x_value = .014 #Offset by eye
y_value = .55
fig, ax = plt.subplots(1, 2, sharex = False, sharey = False)
fig.set_size_inches(50,30)
ax[0].plot(x, y, label = "cos")
ax[0].set_ylim([0.8,3.2])
ax[0].legend(loc=2)
line1 ,= ax[1].plot(x,y)
ax[1].set_ylim([0.8,3.2])
axbox = ax[1].get_position()
fig.legend([line1], ["cos"], loc = (axbox.x0 + x_value, axbox.y0 + y_value))
plt.show()
So what I am now doing is basically getting the coordinates from the subplot. I then create the legend based on the dimensions of the entire figure. Hence, the figure size does not change anything to the legend positioning anymore.
With the values for x_value and y_value the legend can be positioned in the subplot. x_value has been eyeballed for a good correspondence with the "normal" legend. This value can be changed at your desire. y_value determines the height of the legend.
Good luck!
After spending way too much time on this, I've come up with the following satisfactory solution (the Transformations Tutorial definitely helped):
bapad = plt.rcParams['legend.borderaxespad']
fontsize = plt.rcParams['font.size']
axline = plt.rcParams['axes.linewidth'] #need this, otherwise the result will be off by a few pixels
pad_points = bapad*fontsize + axline #padding is defined in relative to font size
pad_inches = pad_points/72.0 #convert from points to inches
pad_pixels = pad_inches*fig.dpi #convert from inches to pixels using the figure's dpi
Then, I found that both of the following work and give the same value for the padding:
# Define inverse transform, transforms display coordinates (pixels) to axes coordinates
inv = ax[1].transAxes.inverted()
# Inverse transform two points on the display and find the relative distance
pad_axes = inv.transform((pad_pixels, 0)) - inv.transform((0,0))
pad_xaxis = pad_axes[0]
or
# Find how may pixels there are on the x-axis
x_pixels = ax[1].transAxes.transform((1,0)) - ax[1].transAxes.transform((0,0))
# Compute the ratio between the pixel offset and the total amount of pixels
pad_xaxis = pad_pixels/x_pixels[0]
And then set the legend with:
ax[1].legend(loc=(pad_xaxis,0.6))
Plot:

Python: subplots with different total sizes

Original Post
I need to make several subplots with different sizes.
I have simulation areas of the size (x y) 35x6µm to 39x2µm and I want to plot them in one figure. All subplots have the same x-ticklabels (there is a grid line every 5µm on the x-axis).
When I plot the subplots into one figure, then the graphs with the small x-area are streched, so that the x-figuresize is completely used. Therefore, the x-gridlines do not match together anymore.
How can I achieve that the subplots aren't streched anymore and are aligned on the left?
Edit: Here is some code:
size=array([[3983,229],[3933,350],[3854,454],[3750,533],[3500,600]], dtype=np.float)
resolution=array([[1024,256],[1024,320],[1024,448],[1024,512],[1024,640]], dtype=np.float)
aspect_ratios=(resolution[:,0]/resolution[:,1])*(size[:,1]/size[:,0])
number_of_graphs=len(data)
fig, ax=plt.subplots(nrows=number_of_graphs, sharex=xshare)
fig.set_size_inches(12,figheight)
for i in range(number_of_graphs):
temp=np.rot90(np.loadtxt(path+'/'+data[i]))
img=ax[i].imshow(temp,
interpolation="none",
cmap=mapping,
norm=specific_norm,
aspect=aspect_ratios[i]
)
ax[i].set_adjustable('box-forced')
#Here I have to set some ticks and labels....
ax[i].xaxis.set_ticks(np.arange(0,int(size[i,0]),stepwidth_width)*resolution[i,0]/size[i,0])
ax[i].set_xticklabels((np.arange(0, int(size[i,0]), stepwidth_width)))
ax[i].yaxis.set_ticks(np.arange(0,int(size[i,1]),stepwidth_height)*resolution[i,1]/size[i,1])
ax[i].set_yticklabels((np.arange(0, int(size[i,1]), stepwidth_height)))
ax[i].set_title(str(mag[i]))
grid(True)
savefig(path+'/'+name+'all.pdf', bbox_inches='tight', pad_inches=0.05) #saves graph
Here are some examples:
If I plot different matrices in a for loop, the iPhython generates an output which is pretty much what I want. The y-distande between each subplot is constant, and the size of each figure is correct. You can see, that the x-labels match to each other:
When I plot the matrices in one figure using subplots, then this is not the case: The x-ticks do not fit together, and every subplot has the same size on the canvas (which means, that for thin subplots there is more white space reservated on the canvas...).
I simply want the first result from iPython in one output file using subplots.
Using GridSpec
After the community told me to use GridSpec to determine the size of my subplots directly I wrote a code for automatic plotting:
size=array([[3983,229],[3933,350],[3854,454],[3750,533],[3500,600]], dtype=np.float)
#total size of the figure
total_height=int(sum(size[:,1]))
total_width=int(size.max())
#determines steps of ticks
stepwidth_width=500
stepwidth_height=200
fig, ax=plt.subplots(nrows=len(size))
fig.set_size_inches(size.max()/300., total_height/200)
gs = GridSpec(total_height, total_width)
gs.update(left=0, right=0.91, hspace=0.2)
height=0
for i in range (len(size)):
ax[i] = plt.subplot(gs[int(height):int(height+size[i,1]), 0:int(size[i,0])])
temp=np.rot90(np.loadtxt(path+'/'+FFTs[i]))
img=ax[i].imshow(temp,
interpolation="none",
vmin=-100,
vmax=+100,
aspect=aspect_ratios[i],
)
#Some rescaling
ax[i].xaxis.set_ticks(np.arange(0,int(size[i,0]),stepwidth_width)*resolution[i,0]/size[i,0])
ax[i].set_xticklabels((np.arange(0, int(size[i,0]), stepwidth_width)))
ax[i].yaxis.set_ticks(np.arange(0,int(size[i,1]),stepwidth_height)*resolution[i,1]/size[i,1])
ax[i].set_yticklabels((np.arange(0, int(size[i,1]), stepwidth_height)))
ax[i].axvline(antenna[i]) #at the antenna position a vertical line is plotted
grid(True)
#colorbar
cbaxes = fig.add_axes([0.93, 0.2, 0.01, 0.6]) #[left, bottom, width, height]
cbar = plt.colorbar(img, cax = cbaxes, orientation='vertical')
tick_locator = ticker.MaxNLocator(nbins=3)
cbar.locator = tick_locator
cbar.ax.yaxis.set_major_locator(matplotlib.ticker.AutoLocator())
cbar.set_label('Intensity',
#fontsize=12
)
cbar.update_ticks()
height=height+size[i,1]
plt.show()
And here is the result....
Do you have any ideas?
What about using matplotlib.gridspec.GridSpec? Docs.
You could try something like
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.gridspec import GridSpec
gs = GridSpec(8, 39)
ax1 = plt.subplot(gs[:6, :35])
ax2 = plt.subplot(gs[6:, :])
data1 = np.random.rand(6, 35)
data2 = np.random.rand(2, 39)
ax1.imshow(data1)
ax2.imshow(data2)
plt.show()

Finding the right marker size for a scatter plot

I want to plot a grid where each node in the grid is drawn by a dot, with a certain color code (taken from a vector stored in the node).
the grid here varies in size depending on the size of the simulations I am running. I have yet to figure out the relationship between the canvas size and the marker size. Now I use the following formula:
markersize = (figsize*figsize*dpi*dpi)/(xdim*ydim)
plt.scatter(X, Y, s=markersize/3, marker='s', c=Z, cmap=cm.rainbow)
plt.show()
that is I square the sigsize and the dpi (use 15 and 80 respectively), and divide by the dimensionality of the grid. Finally I divide this by 3 as I found this to work.
But I haven't been able to work out how to analytically get the right marker size. What I want is a grid where each square uses as much a space as it can but without "infringinig" on the other nodes' space, so that the markers overlap.
As far as I can read the figsize is given in inches. dpi is - dots per inch, and the markersize is specified in - points. If the points is the same as dots, you would then have dpifigsize amount of dots on each axis. The xdimydim is the amount of nodes in my grid. Dividing the pow(dpifigsize, 2) / xdimydim should then give the amounts of dots per node, and the right size for each marker I thought. But that made the markers too big. I diveded by 3 and it sort of worked practically for the sizes I usually run, but not for all. (I am guessing a point and a dot is not the same, but what is the relation?)
How do I work out the correct answer for this? Ideally I would like a very granular picture where I could zoom in an certain areas to get a finer look at the color nuances.
If you want to control the marker size precisely and have it scale with the figure, you can use a patch instead of a regular marker. Here's an example:
from matplotlib import pyplot as plt
from matplotlib.patches import Circle
x = [1, 2, 3, 4, 5]
y = [1, 3, 1, 2, 4]
colors = [10, 215, 30, 100]
cmap = plt.cm.jet
fig = plt.figure()
ax = fig.add_subplot(111, aspect='equal')
for (x, y, c) in zip(x, y, colors):
ax.add_artist(Circle(xy=(x, y), radius=0.5, color=cmap(c)))
ax.set_xlim(0, 6)
ax.set_ylim(0, 6)
plt.show()
You could also use a rectangle instead of a circle.

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