SAGEMATH PLOT OPTIONS
Notice that the aspect ratio of the above plot makes the plot very tall because the plot adopts the default aspect ratio of the circle to make the circle appear like a circle. If we have an empty linestyle and specify a marker, we can see the points that are actually being plotted:. We can plot functions of complex variables, where the magnitude is indicated by the brightness black is zero magnitude and the argument is indicated by the hue red is a positive real number. We can also change the scale of the axes in the graphics just before displaying. Set the default for showing plots using any plot commands. The following Sage commands construct this:. H show it Graphics object consisting of 3 graphics primitives.
We can save 2d plots to many different formats. These are some examples of plots similar to some of the plots in the PyX http: The scale can be also be given as single argument that is a list or tuple scale, base or scale, basex, basey. Note that to fill between the ith and jth functions, you must use the dictionary key-value syntax i: Note If the scale is “linear” , then irrespective of what base is set to, it will default to 10 and will remain unused. In the PyX manual, the point of this example is to show labeling the X-axis using rational multiples of Pi.
On the picture drawn by the lines below:. None values which are excluded from the plot range. This worksheet consists of the following sections:. For more help on options, see the documentation for plot.
Sage also computes polar plots, contour plots and vector field plots for special types of functions. We draw a curve: Warning If plotjoined is False then the vertical axis must have all points strictly positive.
One can also name the array, and then use show or save:. Sage provides extensive 2D plotting functionality. For the other keyword options that the plot function can take, refer to the method show and the further options below. Via the matplotlib library, Sage makes it easy to tell whether a graph is on both sides of both axes, as the axes only cross if the origin is actually part of the viewing area:.
Notice the automatic graded shading of the fill color. You can fix this:. Use figsize to set the actual aspect ratio of the rendered image i.
The second argument ‘plotjoined’ should be boolean True or False. This behavior can be recovered by setting ssagemath legend options on your plot object:. If plotjoined is False then the vertical axis must have all points strictly positive.
Sage Math Tutorial – Plotting
Returns two lists xdata, ydataeach coerced to a list of floats, which correspond to the x-coordinates and the y-coordinates of the points. Note that the axes will not cross if the data is optioons on both sides of both axes, even if it is quite close:. By default, the figure grows to include all of the graphics and text, so the final image may not dagemath exactly the figure size you specified. Created using Sphinx 1. Returns two lists xdata, ydataeach coerced to a list of floats, which correspond to the x-coordinates and the y-coordinates of the points.
The syntax for lines is the same sagemathh that for points, but you get… well, you get connecting lines too! We check various optiojs of tuples and functions, ending with tests that lambda functions work properly with explicit variable declaration, without a tuple. It is important to mention that when we draw several graphs at the same time, parameters xminxmaxymin and ymax are just passed directly to the show procedure.
Setting this to 0 disables adaptive refinement. We test that imshow works as well, verifying that trac ticket is fixed in Matplotlib. However, do not make the plott too big e. Given a list or tuple or iterable v, coerce each element of v to a float and make a list out of the result.
Notice that the arrows are scaled appropriately, and colored by length in the 3D case. If D is added to the curve, then the algorithm is applied recursively to the points A and D, and D and B.
Sage currently oprions no support for controlling how the ticks on the x and y axes are labeled, so this is really a bad example:. See the example below on automatic exclusion of points. If a dictionary, optionss keys are taken from range len X. You can change this to change the defaults for all future plots. If called with no arguments, returns the current default. Since the above overwrites many Sage plotting functions, we reset the state of Sage, so that the examples below work!
Sage Math – Plotting
Calculate plot points for a function f in the interval xrange. We can plot functions of complex variables, where the magnitude is indicated by the brightness black is pkot magnitude and the argument is indicated by the hue red is a positive real number. An optional parameter z can be given to specify the z-coordinate.
Here we have an aspect ratio of 2, and since the x and y ranges are the same the returned figsize is twice as wide as tall:. A way that points to how to plot other functions without symbolic variants is using lambda functions:.
We draw some 2d parametric plots. Prior to trac ticketlegends by default had a shadowless gray background. Regions in which the plot has no values are automatically excluded. P show the result.
This function just changes their color. These are some examples of plots similar to some of the plots in the PyX http: If there is a range of consecutive points where the function has no value, then those points will be excluded from opfions plot. Check that trac ticket is fixed:. To plot it, use c.
Now we can plot not just the two sets of points, but also use several of the documented options for plotting points.