曲线下面积介于一端无界和 x=a 之间的区域

曲线下面积介于一端无界和 x=a 之间的区域
\documentclass[border=0pt]{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{colormaps}
\usepackage{subfig}
\usepackage{graphicx}
\usepackage{listings}
\usepackage[format=hang]{caption}
\usetikzlibrary{trees}
\usetikzlibrary{plotmarks}


\usetikzlibrary{arrows,decorations.pathmorphing,backgrounds,positioning,fit,petri}
   \usepgfplotslibrary{fillbetween} 
   \pgfplotsset{compat=newest}

   \usetikzlibrary{patterns} % for "schraffierte" lines
   \usetikzlibrary{calc}
   \definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}%
   \definecolor{mycolor2}{rgb}{0.85000,0.32500,0.09800}%
   \begin{document}
   \begin{tikzpicture}
   \begin{axis}[
    title={Neyman Pearson Alpha Representation},
    grid=major,
    grid style={dashed,gray!30},
    xlabel={x values},
    ylabel={y values},
    %xmin=0, xmax=20,
    ymin=0,ymax=0.1,
    %ymode=log,
    %ymin=0, ymax=1.35,
    %xtick={0,50,100,150,200,250,300},
    %ytick={0,0.2,0.4,0.6,0.8,1.0},
    legend pos=north west,
    enlarge y limits={abs=1cm,upper}
    %ymajorgrids=true,
    %grid style=dashed,
    %xmajorgrids=true
    %grid style=dashed
]
\addplot[
    name path=U,
    color=blue,]
    coordinates {(-44.848214732850224, 6.894645067806492e-07)
    (-44.57635519136731, 1.5335076456603906e-06)
    (-44.30449564988441, 3.179761069727552e-06)
    (-44.0326361084015, 6.148889876285282e-06)
    (-43.760776566918594, 1.10937371897585e-05)
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    (4.630221817038986, 0.0004438605817209732)
    .............)

   };
\addplot[
    name path=S,
    color=red,]
    coordinates {(-8.983669518808362, 8.168426471830885e-07)
    (-8.801753562288608, 1.859536502224723e-06)
    (-8.619837605768852, 3.94044940676042e-06)
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    (-7.528341866650325, 8.416967243238451e-05)
    (-7.34642591013057, 0.00011183065594377776)
    (-7.164509953610816, 0.00014009532938004163)
    (-6.982593997091061, 0.00016596140950969377)
    (-6.800678040571306, 0.00018653909685872476)
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    (-3.162358910176213, 0.0007208072751246381)
    (-2.980442953656458, 0.0008401136873167292)
    (-2.7985269971367037, 0.0009686874041650691)
    (-2.6166110406169487, 0.0011055450198407296)
    (-2.4346950840971946, 0.0012511081455186875)
    .......};

\addplot [name path=line] coordinates {(1.63621746301651,0)(1.63621746301651,0.15)};
\addplot[name path=alpha,red!100] fill between[of= U and line ,soft clip={domain=1.63621746301651 :\infty}];
\addplot[name path=alpha,red!100] fill between[of= S and line ,soft clip={domain=1.63621746301651 : -\infty}];    
\legend{U,S}
    
\end{axis}
\end{tikzpicture}
\end{document}

我正在寻找红色曲线下方的阴影区域,小于乳胶中黑色垂直线指示的阈值线。

我在 \addplot 中为 U 定义了坐标。

为了遮蔽红色区域(U>阈值),我使用了以下代码行

\addplot[name path=alpha,red!100] fill between[of= U and line ,soft clip {domain=1.63621746301651 :\infty}];

但是当我尝试使用以下代码对小于阈值线的 S 曲线下的区域进行着色时

\addplot[name path=alpha,red!100] fill between[of= S and line ,soft clip {domain=1.63621746301651 : -\infty}];

它不起作用。它遮蔽了 S 大于阈值的区域(参见错误图像错误)如何纠正此问题?

预期结果-预期结果

答案1

使用fillbetween,垂直填充通常比水平填充效果好得多。也就是说,您可能不应该使用您命名line为其中一个图的垂直图来填充区域,而是添加另一个代表= 0 并将此图命名为line。这样,您可以轻松填充其他两个图下方的区域。然后,您可以使用选项domain将此区域限制为X= 1.63621746301651(或您想要选择的任何值)。

我稍微缩短了你的代码并简化了曲线的坐标列表。

\documentclass[border=10pt]{standalone}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween} 
\pgfplotsset{compat=newest}

\begin{document}
\begin{tikzpicture}
\begin{axis}[
    title={Neyman Pearson Alpha Representation},
    grid=major,
    grid style={dashed, gray!30},
    xlabel={x values},
    ylabel={y values},
    ymin=0, ymax=0.1,
    legend pos=north west,
    enlarge y limits={abs=1cm, upper}
]
\addplot[
    name path=U,
    color=blue,
    smooth
] coordinates {
    (-44.848214732850224, 6.894645067806492e-07)
    (-37.50800711281171, 0.00015997575355931602)
    (-20.380855999388526, 0.03299508621844504)
    (-13.312507920832925, 0.0628156850968826)
    (-6.380855999388526, 0.03299508621844504)
    (11.50800711281171, 0.00015997575355931602)
    (26.848214732850224, 6.894645067806492e-07)
};
\addplot[
    name path=S,
    color=red,
    smooth
] coordinates {
    (-8.983669518808362, 8.168426471830885e-07)
    (-2.4346950840971946, 0.0012511081455186875)
    (0.4346950840971946, 0.012511081455186875)
    (6.4346950840971946, 0.10511081455186875)
    (12.4346950840971946, 0.012511081455186875)
    (14.4346950840971946, 0.0012511081455186875)
    (20.983669518808362, 8.168426471830885e-07)
};

\addplot[no markers] coordinates {(1.63621746301651,0) (1.63621746301651,0.15)};

\addplot[name path=line, draw=none] {0};

\addplot[name path=alpha, red!20] 
    fill between[of=U and line, soft clip={domain=1.63621746301651 : 100}];

\addplot[name path=alpha, blue!20] 
    fill between[of=S and line, soft clip={domain=1.63621746301651 : -100}];    
    
\legend{U,S}
    
\end{axis}
\end{tikzpicture}
\end{document}

在此处输入图片描述

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