ListLogLogPlot

ListLogLogPlot[{y1,y2,…}]
makes a log-log plot of the yi, assumed to correspond to x coordinates 1, 2, ….
ListLogLogPlot[{{x1,y1},{x2,y2},…}]
makes a log-log plot of the specified list of x and y values.
ListLogLogPlot[{data1,data2,…}]
plots data from all the datai.
ListLogLogPlot[{…,w[datai,…],…}]
plots datai with features defined by the symbolic wrapper w.
Details and Options




- Data values xi and yi can be given in the following forms:
-
xi a real-valued number Quantity[xi,unit] a quantity with a unit Around[xi,ei] value xi with uncertainty ei Interval[{xmin,xmax}] values between xmin and xmax - Values xi and yi that are not of the preceding form are taken to be missing and are not shown.
- The datai have the following forms and interpretations:
-
<"k1"y1,"k2"y2,… > values {y1,y2,…} <x1y1,x2y2,… > key-value pairs {{x1,y1},{x2,y2},…} {y1"lbl1",y2"lbl2",…}, {y1,y2,…}{"lbl1","lbl2",…} values {y1,y2,…} with labels {lbl1,lbl2,…} SparseArray values as a normal array TimeSeries, EventSeries time-value pairs QuantityArray magnitudes WeightedData unweighted values - The following wrappers w can be used for the datai:
-
Annotation[datai,label] provide an annotation for the data Button[datai,action] define an action to execute when the data is clicked Callout[datai,label] label the data with a callout Callout[datai,label,pos] place the callout at relative position pos EventHandler[datai,…] define a general event handler for the data Hyperlink[datai,uri] make the data a hyperlink Labeled[datai,label] label the data Labeled[datai,label,pos] place the label at relative position pos Legended[datai,label] identify the data in a legend PopupWindow[datai,cont] attach a popup window to the data StatusArea[datai,label] display in the status area on mouseover Style[datai,styles] show the data using the specified styles Tooltip[datai,label] attach a tooltip to the data Tooltip[datai] use data values as tooltips - Wrappers w can be applied at multiple levels:
-
{…,w[yi],…} wrap the value yi in data {…,w[{xi,yi}],…} wrap the point {xi,yi} w[datai] wrap the data w[{data1,…}] wrap a collection of datai w1[w2[…]] use nested wrappers - Callout, Labeled, and Placed can use the following positions pos:
-
Automatic automatically placed labels Above, Below, Before, After positions around the data x near the data at a position x Scaled[s] scaled position s along the data {s,Above},{s,Below},… relative position at position s along the data {pos,epos} epos in label placed at relative position pos of the data - ListLogLogPlot has the same options as Graphics, with the following additions and changes:
-
AspectRatio 1/GoldenRatio ratio of height to width Axes True whether to draw axes DataRange Automatic the range of x values to assume for data IntervalMarkers Automatic how to render uncertainty IntervalMarkersStyle Automatic style for uncertainty elements Filling None how to fill in stems for each point FillingStyle Automatic style to use for filling Joined False whether to join points LabelingFunction Automatic how to label points LabelingSize Automatic maximum size of callouts and labels PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLabel None overall label for the plot PlotLabels None labels for data PlotLayout "Overlaid" how to position data PlotLegends None legends for data PlotMarkers None markers to use to indicate each point PlotRange Automatic range of values to include PlotRangeClipping True whether to clip at the plot range PlotStyle Automatic graphics directives to determine styles of points PlotTheme $PlotTheme overall theme for the plot ScalingFunctions None how to scale individual coordinates TargetUnits Automatic units to display in the plot - DataRange determines how values {y1,…,yn} are interpreted into {{x1,y1},…,{xn,yn}}. Possible settings include:
-
Automatic,All uniform from 1 to n {xmin,xmax} uniform from xmin to xmax - In general, a list of pairs {{x1,y1},{x2,y2},…} is interpreted as a list of points, but the setting DataRangeAll forces it to be interpreted as multiple datai {{y11,y12},{y21,y23},…}.
- LabelingFunction->f specifies that each point should have a label given by f[value,index,lbls], where value is the value associated with the point, index is its position in the data, and lbls is the list of relevant labels.
- Possible settings for PlotLayout that show multiple curves in a single plot panel include:
-
"Overlaid" show all the data overlapping "Stacked" accumulate the data "Percentile" accumulate and normalize the data - Possible settings for PlotLayout that show single curves in multiple plot panels include:
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"Column" use separate curves in a column of panels "Row" use separate curves in a row of panels {"Column",k},{"Row",k} use k columns or rows {"Column",UpTo[k]},{"Row",UpTo[k]} use at most k columns or rows - Typical settings for PlotLegends include:
-
None no legend Automatic automatically determine legend {lbl1,lbl2,…} use lbl1, lbl2, … as legend labels Placed[lspec,…] specify placement for legend - Possible settings for ScalingFunctions include:
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sy scale y axis {sx,sy} scale x and y axes - Common built-in scaling functions s include:
-
"Reverse" reverse the coordinate direction "Infinite" infinite scale - Scales for the x and y axes are applied after the default log scales have been applied.

Examples
open allclose allBasic Examples (5)
Scope (50)
General Data (10)
For regular data consisting of values, the
data range is taken to be integer values:
Provide an explicit data range by using DataRange:
Plot multiple sets of regular data:
For irregular data consisting of ,
value pairs, the
data range is inferred from data:
Plot multiple sets of irregular data:
Plot multiple sets of data, regular or irregular, using DataRange to map them to the same range:
Ranges where the data is nonpositive are excluded:
Use MaxPlotPoints to limit the number of points used:
PlotRange is selected automatically:
Use PlotRange to focus on areas of interest:
Use ScalingFunctions to reverse the direction of the y axis:
Special Data (9)
Use Quantity to include units with the data:
Include different units for the and
coordinates:
Plot data in a QuantityArray:
Specify the units used with TargetUnits:
Specify strings to use as labels:
Specify a location for labels:
Numeric values in an Association are used as the coordinates:
Numeric keys and values in an Association are used as the and
coordinates:
Plot TimeSeries directly:
Plot data in a SparseArray:
The weights in WeightedData are ignored:
Data Wrappers (6)
Use wrappers on individual data, datasets, or collections of datasets:
Use the value of each point as a tooltip:
Use a specific label for all the points:
Labels points with automatically positioned text:
Use PopupWindow to provide additional drilldown information:
Button can be used to trigger any action:
Labeling and Legending (13)
Label points with automatically positioned text:
Place the labels relative to the points:
Label data with Labeled:
Label data with PlotLabels:
Place the label near the points at an value:
Specify the text position relative to the point:
Label data automatically with Callout:
Place a label with a specific location:
Specify label names with LabelingFunction:
Specify the maximum size of labels:
For dense sets of points, some labels may be turned into tooltips by default:
Increasing the size of the plot will show more labels:
Include legends for each curve:
Use Legended to provide a legend for a specific dataset:
Use Placed to change the legend location:
Presentation (12)
Multiple datasets are automatically colored to be distinct:
Provide explicit styling to different sets:
Include legends for each curve:
Provide an interactive Tooltip for the data:
Use shapes to distinguish different datasets:
Use labels to distinguish different datasets:
Use Joined to connect datasets with lines:
Use InterpolationOrder to smooth joined data:
Use a theme with detailed frame ticks and grid lines:
Use a theme with a dark background and vibrant colors:
Options (112)
ClippingStyle (6)
ClippingStyle only applies to Joined datasets:
Omit clipped regions of the plot:
Show clipped regions like the rest of the curve:
Show clipped regions with red lines:
Show clipped regions as red at the bottom and thick at the top:
ColorFunction (6)
ColorFunction only applies to Joined datasets:
Color by scaled and
coordinates:
Color with a named color scheme:
Fill with the color used for the curve:
ColorFunction has higher priority than PlotStyle for coloring the curve:
Use Automatic in MeshShading to use ColorFunction:
ColorFunctionScaling (3)
ColorFunctionScaling only applies to Joined datasets:
Use no argument scaling on the left and automatic scaling on the right:
Scaling is done on a linear scale in the original coordinates:
DataRange (5)
Lists of height values are displayed against the number of elements:
Rescale to the sampling space:
Each dataset is scaled to the same domain:
Pairs are interpreted as ,
coordinates:
Specifying DataRange in this case has no effect, since values are part of the data:
Filling (8)
Use symbolic or explicit values for "stem" filling:
Fill between corresponding points in two datasets:
Fill between datasets using a particular style:
Fill between datasets 1 and 2; use red when 1 is less than 2 and blue otherwise:
Fill to the axis for irregularly sampled data:
Use several irregular datasets, filling between them:
Joined datasets fill with solid areas:
The type of filling depends on whether the first set is joined:
FillingStyle (4)
InterpolationOrder (5)
Lines created with Joined can be interpolated:
By default, linear interpolation is used:
Use zero-order or piecewise-constant interpolation:
IntervalMarkers (3)
IntervalMarkersStyle (2)
Joined (4)
LabelingFunction (6)
By default, points are automatically labeled with strings:
Use LabelingFunction->None to suppress the labels:
Put the labels above the points:
Use callouts to label the points:
LabelingSize (4)
MaxPlotPoints (3)
Mesh (6)
MeshFunctions (2)
MeshFunctions only applies to Joined datasets:
Use a mesh evenly spaced in the direction and unscaled in the
direction:
MeshShading (7)
MeshShading only applies to Joined datasets:
Alternate red and blue segments of equal width in the direction:
Use None to remove segments:
MeshShading can be used with PlotStyle:
MeshShading has higher priority than PlotStyle for styling the curve:
Use PlotStyle for some segments by setting MeshShading to Automatic:
MeshShading can be used with ColorFunction and has higher priority:
MeshStyle (5)
PlotLabels (5)
Specify text to label sets of points:
Place the labels above the points:
Use callouts to identify the points:
Use the keys from an Association as labels:
Use None to not add a label:
PlotLayout (1)
PlotLegends (6)
Generate a legend using labels:
Generate a legend using placeholders:
Legends use the same styles as the plot:
Use Placed to specify the legend placement:
Place the legend inside the plot:
Use PointLegend to change the legend appearance:
PlotMarkers (8)
ListLogLogPlot normally uses distinct colors to distinguish different sets of data:
Automatically use colors and shapes to distinguish sets of data:
Change the size of the default plot markers:
Use arbitrary text for plot markers:
Use explicit graphics for plot markers:
PlotRange (2)
PlotStyle (7)
Use different style directives:
By default, different styles are chosen for multiple datasets:
Explicitly specify the style for different datasets:
PlotStyle applies to both lines and points:
PlotStyle can be combined with ColorFunction and has lower priority:
PlotStyle can be combined with MeshShading and has lower priority:
PlotTheme (1)
Text
Wolfram Research (2007), ListLogLogPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListLogLogPlot.html (updated 2022).
CMS
Wolfram Language. 2007. "ListLogLogPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/ListLogLogPlot.html.
APA
Wolfram Language. (2007). ListLogLogPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListLogLogPlot.html