使用Mathematica中的单个绘图填充样式

Question

我可以在单个情节中指定不同的填充颜色，如下图或我需要“显示”几个情节吗？让我们说我希望填充样式与PlotStyle相同。

priorMean = 50;
priorVar = 100;

llhMean = 30;
llhVar = 40;

postMean=35.71;
postVar=28.57;


Plot[
     Evaluate@MapThread[
     Function[{\[Mu], \[Sigma]},
     PDF[NormalDistribution[\[Mu], Sqrt[\[Sigma]]], x]],
     {{priorMean, llhMean, postMean}, {priorVar, llhVar, postVar}}],
{x, 0, 100}, Filling -> Axis, PlotStyle -> {Red, Green, Blue}]

Answer 1

您需要使用FillingStyle来填写。我认为您遇到了FillingStyle的语法，其与<{em>的语法相同<{1}} 1}}，虽然你期望它是。您必须为每条曲线指定一种颜色PlotStyle，等等。以下是一个示例：

FillingStyle -> {1 -> color1, 2 -> color2}

Answer 2

我建议对Plot的定义进行扩展。 I have done this before.

toDirective[{ps__} | ps__] := Flatten[Directive @@ Flatten[{#}]] & /@ {ps}

makefills = MapIndexed[#2 -> Join @@ toDirective@{Opacity[0.3], #} &, #] &;

Unprotect[Plot];
Plot[a__, b : OptionsPattern[]] :=
  Block[{$FSmatch = True},
    With[{fills = makefills@OptionValue[PlotStyle]}, 
      Plot[a, FillingStyle -> fills, b]
  ]] /; ! TrueQ[$FSmatch] /; OptionValue[FillingStyle] === "Match"

有了这个，您可以使用FillingStyle -> "Match"自动设置填充样式以匹配主要样式。

Plot[{Sin[x], Cos[x], Log[x]}, {x, 0, 2 Pi},
  PlotRange -> {-2, 2},
  PlotStyle -> {{Blue, Dashing[{0.04, 0.01}]},
                {Thick, Dashed, Orange},
                {Darker@Green, Thick}},
  Filling -> Axis,
  FillingStyle -> "Match"
]

Answer 3

您可以执行类似

的操作

With[{colours = {Red, Green, Blue}},
 Plot[Evaluate@
   MapThread[
    Function[{\[Mu], \[Sigma]}, 
     PDF[NormalDistribution[\[Mu], Sqrt[\[Sigma]]], x]], 
     {{priorMean, llhMean, postMean}, {priorVar, llhVar, postVar}}], 
  {x, 0, 100},
  Filling -> 
    MapIndexed[#2[[1]] -> {Axis, Directive[Opacity[.3, #1]]} &, colours], 
  PlotStyle -> colours]]

Answer 4

这会得到一个结果：

Plot[Evaluate@
  MapThread[
   Function[{\[Mu], \[Sigma]}, 
    PDF[NormalDistribution[\[Mu], Sqrt[\[Sigma]]], x]], {{priorMean, 
     llhMean, postMean}, {priorVar, llhVar, postVar}}], {x, 0, 100}, 
 Filling -> {1 -> {Axis, Red}, 2 -> {Axis, Green}, 3 -> {Axis, Blue}},
  PlotStyle -> {Red, Green, Blue}]

在FillingStyle，Scope，Filling Style下的帮助中找到。

另外：

f = MapThread[
   Function[{\[Mu], \[Sigma]}, 
    PDF[NormalDistribution[\[Mu], Sqrt[\[Sigma]]], x]],
   {{priorMean, llhMean, postMean}, {priorVar, llhVar, postVar}}];
c = {Red, Green, Blue};
Show[Array[
  Plot[f[[#]], {x, 0, 100}, Filling -> {1 -> {Axis, c[[#]]}}, 
    PlotRange -> {Automatic, 0.08}, PlotStyle -> c[[#]]] &, 3]]