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PSTricks 动画无法正确缩放

tag-icon • tag-icon pstricks animate
PSTricks 动画无法正确缩放

考虑以下动画：

\documentclass{article}

\usepackage[margin=2cm]{geometry}
\usepackage{pst-eucl}
\usepackage{animate}
\usepackage{siunitx}

% LaTeX 3 syntax
\ExplSyntaxOn
  \cs_new_eq:NN \calc \fp_eval:n
\ExplSyntaxOff

\def\sundial#1{%
% constants
\def\length{16 }
\def\north{#1 }
% helping constants
\def\northB{\calc{90-\north}}
\def\lengthB{\calc{\length*sin(\northB*pi/180)}}
\def\lengthC{\calc{\length*sin(\north* pi/180)}}
\def\coorx{\calc{\lengthB*sin(\northB*pi/180)}}
\def\coory{\calc{\lengthC*cos(\north* pi/180)}}
\def\maxxA{\calc{\length+0.45}}
\def\maxxB{\calc{1/4*\length*(sin(2*\north*pi/180)+cos(2*\north*pi/180)+3)}}
\def\maxx{\calc{max(\maxxA,\maxxB)}}
\def\maxyA{\calc{1/2*\lengthC*(sin(\north*pi/180)+cos(\north*pi/180))}}
\def\maxyB{\calc{\coory+0.6}}
\def\maxy{\calc{max(\maxyA,\maxyB)}}
% settings
\psset{unit=0.8}
\sisetup{round-mode=places,round-precision=1}
% picture
\fbox{%
\begin{pspicture}(-0.6,-0.15)(\maxx,\maxy)
  \pnodes{P}(0,0)(\coorx,\coory)(\length,0)
  \pspolygon(P0)(P1)(P2)
  \pstMarkAngle{P2}{P0}{P1}{\SI{\north}{\degree}}
  \pstRightAngle{P0}{P1}{P2}
  \pstMarkAngle{P1}{P2}{P0}{\SI{\northB}{\degree}}
  \uput[180](P0){$A$}
  \uput[90](P1){$C$}
  \uput[0](P2){$B$}
  \pstMediatorAB[
    PointSymbol=none,
    PointNameA=none,
    PointNameB=none,
    CodeFig=true,
    CodeFigColor=black
  ]{P1}{P2}{M}{MN}
  \psset{offset=-9pt,linestyle=none,nrot=:U}
  \pcline(P0)(P1)
  \ncput*{\SI{\lengthB}{\cm}}
  \pcline(P1)(P2)
  \ncput*{\SI{\lengthC}{\cm}}
  \pcline[offset=9pt](P0)(P2)
  \ncput*{\SI{\length}{\cm}}
\end{pspicture}%
}
}

\begin{document}

\begin{animateinline}[poster=first,controls,palindrome]{5}
  \multiframe{51}{iA=20+1}{\sundial{\iA}}
\end{animateinline}

\end{document}

输出

（注：\fbox仅用于说明框架的大小pspicture。）

当我运行动画（从 Adob​​e Reader 中）时，框架的宽度和高度没有改变；相反，图形被拉伸了。我该如何解决这个问题？

PS 当我没有动画并选择单个（不同）值时\north，框架会按照我预期的方式进行调整。

更新

我最终使用了下面的方法，但是AlexG 的方法更好（因为计算是自动完成的）：

\documentclass{article}

\usepackage[margin=2cm]{geometry}
\usepackage{pst-eucl}
\usepackage{animate}
\usepackage{siunitx}

% LaTeX 3 syntax
\ExplSyntaxOn
  \cs_new_eq:NN \calc \fp_eval:n
\ExplSyntaxOff

% helping constants
\def\northB{\calc{90-\north}}
\def\lengthB{\calc{\length*sin(\northB*pi/180)}}
\def\lengthC{\calc{\length*sin(\north* pi/180)}}
\def\coorx{\calc{\lengthB*sin(\northB*pi/180)}}
\def\coory{\calc{\lengthC*cos(\north* pi/180)}}
\def\maxx{\calc{(3+2^(1/2))/4*\length-0.2}}% <-- global maximum for the width (minus adjustment)
\def\maxy{\calc{(1+2^(1/2))/4*\length}}%     <-- global maximum for the height

% settings
\psset{unit=0.8}
\sisetup{round-mode=places,round-precision=1}

% sundial
\def\sundial#1{%
% constants
\def\length{16}
\def\north{#1}
% picture
\begin{pspicture}(-0.5,-0.15)(\maxx,\maxy)
  \pnodes{P}(0,0)(\coorx,\coory)(\length,0)
  \pspolygon(P0)(P1)(P2)
  \pstMarkAngle{P2}{P0}{P1}{\small\SI{\north}{\degree}}
  \pstRightAngle{P0}{P1}{P2}
  \pstMarkAngle{P1}{P2}{P0}{\small\SI{\northB}{\degree}}
  \uput[180](P0){$A$}
  \uput[90](P1){$C$}
  \uput[0](P2){$B$}
  \pstMediatorAB[
    PointSymbol=none,
    PointNameA=none,
    PointNameB=none,
    CodeFig=true,
    CodeFigColor=black
  ]{P1}{P2}{M}{MN}
  \psset{offset=-9pt,linestyle=none,nrot=:U}
  \pcline(P0)(P1)
  \ncput*{\SI{\lengthB}{\cm}}
  \pcline(P1)(P2)
  \ncput*{\SI{\lengthC}{\cm}}
  \pcline[offset=9pt](P0)(P2)
  \ncput*{\SI{\length}{\cm}}
\end{pspicture}
}

\begin{document}

\begin{animateinline}[poster=first,controls,palindrome]{5}
  \multiframe{61}{iA=15+1}{\sundial{\iA}}
\end{animateinline}

\end{document}

答案1

动画的所有帧必须具有相同的大小。第一帧决定了动画小部件的尺寸。后续帧将变形缩放至此尺寸。因此，如果 pspicture 尺寸是动态的，则除第一帧之外的所有帧都可能被拉伸或收缩。

\documentclass{article}

\usepackage[margin=2cm]{geometry}
\usepackage{pst-eucl}
\usepackage{animate}
\usepackage{siunitx}

% LaTeX 3 syntax
\ExplSyntaxOn 
  \cs_new_eq:NN \calc \fp_eval:n
\ExplSyntaxOff

% constants
\def\length{16 }
% helper macros
\def\northB{\calc{90-\north}}
\def\lengthB{\calc{\length*sin(\northB*pi/180)}}
\def\lengthC{\calc{\length*sin(\north* pi/180)}}
\def\coorx{\calc{\lengthB*sin(\northB*pi/180)}}
\def\coory{\calc{\lengthC*cos(\north* pi/180)}}

%parameterized pspicture
\def\sundial#1{%
  \def\north{#1 }
  % settings
  \psset{unit=0.8}
  \sisetup{round-mode=places,round-precision=1}
  % picture
  \fbox{\begin{pspicture}(-0.6,-0.15)(\maxx,\maxy)
    \pnodes{P}(0,0)(\coorx,\coory)(\length,0)
    \pspolygon(P0)(P1)(P2) 
    \pstMarkAngle{P2}{P0}{P1}{\SI{\north}{\degree}}
    \pstRightAngle{P0}{P1}{P2}
    \pstMarkAngle{P1}{P2}{P0}{\SI{\northB}{\degree}}
    \uput[180](P0){$A$}
    \uput[90](P1){$C$}
    \uput[0](P2){$B$} 
    \pstMediatorAB[
      PointSymbol=none,
      PointNameA=none,
      PointNameB=none,
      CodeFig=true,
      CodeFigColor=black
    ]{P1}{P2}{M}{MN}
    \psset{offset=-9pt,linestyle=none,nrot=:U}
    \pcline(P0)(P1)
    \ncput*{\SI{\lengthB}{\cm}}
    \pcline(P1)(P2)
    \ncput*{\SI{\lengthC}{\cm}}
    \pcline[offset=9pt](P0)(P2)
    \ncput*{\SI{\length}{\cm}}
  \end{pspicture}}%
}   

%find max pspicture dims
\def\maxx{0}\def\maxy{0}
\multido{\iA=20+1}{51}{
  \def\north{\iA }
  \def\maxxA{\calc{\length+0.45}}
  \def\maxxB{\calc{1/4*\length*(sin(2*\north*pi/180)+cos(2*\north*pi/180)+3)}}
  \xdef\maxx{\calc{max(\maxx,\maxxA,\maxxB)}}
  \def\maxyA{\calc{1/2*\lengthC*(sin(\north*pi/180)+cos(\north*pi/180))}}
  \def\maxyB{\calc{\coory+0.6}}
  \xdef\maxy{\calc{max(\maxy,\maxyA,\maxyB)}}
}

\begin{document}

\begin{animateinline}[poster=first,controls,palindrome]{5}
  \multiframe{51}{iA=20+1}{\sundial{\iA}}
\end{animateinline}

\end{document}

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