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[Git][freetype/freetype-web][master] 2 commits: docs/glyphs/glyph-metric

From: Werner Lemberg (@wl)
Subject: [Git][freetype/freetype-web][master] 2 commits: docs/glyphs/glyph-metrics.tex: Formatting.
Date: Fri, 07 Oct 2022 14:50:15 +0000

Werner Lemberg pushed to branch master at FreeType / FreeType Website

Commits:

  • 2e86c41f
    by Werner Lemberg at 2022-10-07T16:20:43+02:00 
    docs/glyphs/glyph-metrics.tex: Formatting.
  • ea43d8c6
    by Werner Lemberg at 2022-10-07T16:49:21+02:00 
    docs/glyphs/glyphs-6.html: Replace PNG with SVG images.

15 changed files:

Changes:

  • freetype2/docs/glyphs/bbox1.png deleted
    No preview for this file type
  • freetype2/docs/glyphs/bbox2.png deleted
    No preview for this file type
  • freetype2/docs/glyphs/glyph-metrics.tex
    ... ... @@ -24,104 +24,127 @@
    24 24
    25 25 
     \usepackage{libertinus}
    26 26
    27 
    -\usetikzlibrary{calc}
    28 
    -\usetikzlibrary{decorations}
    29 
    -\usetikzlibrary{positioning}
    27 
    +\usetikzlibrary{
    28 
    +  calc,
    29 
    +  decorations,
    30 
    +  positioning}
    30 31
    31 32
    32 
    -% A dimensionless point node.
    33 
    -\tikzset{dummy/.style={inner sep=0pt,
    34 
    -                       outer sep=0pt}}
    35 
    -
    36 
    -% Thick line with one arrow.
    37 
    -\tikzset{axis/.style={line width=4pt,
    38 
    -                      -latex}}
    39 
    -
    40 
    -% A fat dot.
    41 
    -\tikzset{dot/.style={minimum size=14pt,
    42 
    -                     circle,
    43 
    -                     fill}}
    44 
    -
    45 
    -% 'Elastic dashes' adapt spaces between dashes to the line length so that
    46 
    -% the last dash doesn't get cut off.
    47 
    -%
    48 
    -% Taken from
    49 
    -% https://tex.stackexchange.com/questions/133271/can-tikz-dashed-lines-emulate-pstricks-dashed-lines
    33 
    +% Node styles.
    50 34 
     \tikzset{
    35 
    +  % For dimensionless point nodes.
    36 
    +  dummy/.style={
    37 
    +    inner sep=0pt,
    38 
    +    outer sep=0pt},
    39 
    +%
    40 
    +  % For thick curves with one arrow.
    41 
    +  axis/.style={
    42 
    +    line width=4pt,
    43 
    +    -latex},
    44 
    +%
    45 
    +  % For fat dots.
    46 
    +  dot/.style={
    47 
    +    minimum size=14pt,
    48 
    +    circle,
    49 
    +    fill},
    50 
    +%
    51 
    +  % 'Elastic dashes' adapt spaces between dashes to the line length so that
    52 
    +  % the last dash doesn't get cut off partially.
    53 
    +  %
    54 
    +  % Taken from
    55 
    +  % https://tex.stackexchange.com/questions/133271/can-tikz-dashed-lines-emulate-pstricks-dashed-lines
    51 56 
       elastic dash/.code args={on #1 off #2}{
    52 57 
         % Use csname so catcode of @ doesn't have do be changed.
    53 58 
         \csname tikz@addoption\endcsname{%
    54 
    -      \pgfgetpath\currentpath%
    59 
    +      \pgfgetpath\currentpath
    55 60 
           \pgfprocessround{\currentpath}{\currentpath}%
    56 61 
           \csname pgf@decorate@parsesoftpath\endcsname
    57 62 
             {\currentpath}{\currentpath}%
    58 63 
           \pgfmathparse{\csname pgf@decorate@totalpathlength\endcsname-#1}%
    59 
    -      \let\rest=\pgfmathresult%
    64 
    +      \let\rest=\pgfmathresult
    60 65 
           \pgfmathparse{#1+#2}%
    61 66 
           \let\onoff=\pgfmathresult
    62 67 
           \pgfmathparse{max(floor(\rest/\onoff), 1)}%
    63 68 
           \let\nfullonoff=\pgfmathresult
    64 69 
           \pgfmathparse{max((\rest-\onoff*\nfullonoff)/\nfullonoff+#2, #2)}%
    65 70 
           \let\offexpand=\pgfmathresult
    66 
    -      \pgfsetdash{{#1}{\offexpand}}{0pt}%
    67 
    -    }
    68 
    -  }
    69 
    -}
    70 
    -\tikzset{line/.style={line width=2pt}}
    71 
    -\tikzset{dashed line/.style={elastic dash=on 6pt off 6pt,
    72 
    -                             line}}
    73 
    -
    74 
    -\tikzset{coordinate/.style={font=\Huge}}
    75 
    -\tikzset{description/.style={font=\Huge\itshape}}
    76 
    -
    77 
    -% Line with one arrow.
    78 
    -\tikzset{direction/.style={line,
    79 
    -                           -latex}}
    80 
    -% Line with two arrows.
    81 
    -\tikzset{span/.style={line,
    82 
    -                      latex-latex}}
    83 
    -
    84 
    -% (Invisible) boxes for displaying horizontal and vertical advances.
    85 
    -\tikzset{box/.style={inner sep=0pt,
    86 
    -                     font=\fontsize{150pt}{0pt}\selectfont}}
    87 
    -\tikzset{hbox/.style={box,
    88 
    -                      outer sep=0pt,
    89 
    -                      anchor=base west}}
    90 
    -\tikzset{vbox/.style={box,
    91 
    -                      outer sep=10pt,
    92 
    -                      anchor=north}}
    93 
    -
    94 
    -% We want a bbox around the ink of glyph 'g', which needs some manual work.
    95 
    -% We use `inner xsep` with a negative value to remove the glyph's side
    96 
    -% bearings.  Since the left and the right side bearings are not equal, we
    97 
    -% need `\hspace` as an additional compensation.  For the top and bottom side
    98 
    -% bearings, adjusting `inner ysep` is sufficient.
    99 
    -\tikzset{glyph g/.style={draw,
    100 
    -                         line,
    101 
    -                         inner xsep=-6pt,
    102 
    -                         inner ysep=0pt,
    103 
    -                         outer sep=0pt,
    104 
    -                         font=\fontsize{300pt}{0pt}\selectfont,
    105 
    -                         execute at end node={\hspace{-3pt}g}}}
    106 
    -
    107 
    -% A filled square.
    71 
    +      \pgfsetdash{{#1}{\offexpand}}{0pt}}},
    72 
    +%
    73 
    +  % For main curves.
    74 
    +  line/.style={
    75 
    +    line width=2pt},
    108 76 
     %
    109 
    -% Taken from
    110 
    -% https://tex.stackexchange.com/questions/300098/draw-a-node-as-a-square-with-tikz
    111 
    -\tikzset{square/.style={draw=none,
    112 
    -                        circle,
    113 
    -                        minimum size=9pt,
    114 
    -                        inner sep=0pt,
    115 
    -                        outer sep=0pt,
    116 
    -                        append after command={%
    117 
    -                          \pgfextra
    118 
    -                            \fill[black]
    119 
    -                               (\tikzlastnode.north
    120 
    -                                -| \tikzlastnode.west)
    121 
    -                               rectangle
    122 
    -                               (\tikzlastnode.south
    123 
    -                                -| \tikzlastnode.east);
    124 
    -                          \endpgfextra}}}
    77 
    +  % For auxiliary, dashed curves.
    78 
    +  dashed line/.style={
    79 
    +    elastic dash=on 6pt off 6pt,
    80 
    +    line},
    81 
    +%
    82 
    +  % For displaying node coordinates.
    83 
    +  coordinate/.style={
    84 
    +    font=\Huge},
    85 
    +%
    86 
    +  % For explanations.
    87 
    +  description/.style={
    88 
    +    font=\Huge\itshape},
    89 
    +%
    90 
    +  % For curves with one arrow.
    91 
    +  direction/.style={
    92 
    +    line,
    93 
    +    -latex},
    94 
    +  % For curves with two arrows.
    95 
    +  span/.style={
    96 
    +    line,
    97 
    +    latex-latex},
    98 
    +%
    99 
    +  % For (invisible) boxes displaying advances.
    100 
    +  box/.style={
    101 
    +    inner sep=0pt,
    102 
    +    font=\fontsize{150pt}{0pt}\selectfont},
    103 
    +%
    104 
    +  % For displaying horizontal advances.
    105 
    +  hbox/.style={
    106 
    +    box,
    107 
    +    outer sep=0pt,
    108 
    +    anchor=base west},
    109 
    +%
    110 
    +  % For displaying vertical advances.
    111 
    +  vbox/.style={
    112 
    +    box,
    113 
    +    outer sep=10pt,
    114 
    +    anchor=north},
    115 
    +%
    116 
    +  % We want a bbox around the ink of glyph 'g', which needs some manual
    117 
    +  % work.  We use `inner xsep` with a negative value to remove the glyph's
    118 
    +  % side bearings.  Since the left and the right side bearings are not
    119 
    +  % equal, we need `\hspace` as an additional compensation.  For the top and
    120 
    +  % bottom side bearings, adjusting `inner ysep` is sufficient.
    121 
    +  glyph g/.style={
    122 
    +    draw,
    123 
    +    line,
    124 
    +    inner xsep=-6pt,
    125 
    +    inner ysep=0pt,
    126 
    +    outer sep=0pt,
    127 
    +    font=\fontsize{300pt}{0pt}\selectfont,
    128 
    +    execute at end node={\hspace{-3pt}g}},
    129 
    +%
    130 
    +  % For filled squares
    131 
    +  %
    132 
    +  % Taken from
    133 
    +  % https://tex.stackexchange.com/questions/300098/draw-a-node-as-a-square-with-tikz
    134 
    +  square/.style={
    135 
    +    draw=none,
    136 
    +    circle,
    137 
    +    minimum size=9pt,
    138 
    +    inner sep=0pt,
    139 
    +    outer sep=0pt,
    140 
    +    append after command={%
    141 
    +      \pgfextra
    142 
    +        \fill[black] (\tikzlastnode.north -| \tikzlastnode.west)
    143 
    +                     rectangle
    144 
    +                     (\tikzlastnode.south -| \tikzlastnode.east);
    145 
    +      \endpgfextra}}
    146 
    +}
    147 
    +
    125 148
    126 149 
     \newcommand*{\LastLoopValue}{No value}
    127 150
    ... ... @@ -231,7 +254,7 @@
    231 254 
       \draw[dashed line] (glyph.south east) -- (yMin);
    232 255
    233 256 
       \draw[direction] ($(glyph.base east) + (1,0)$)
    234 
    -                      -- ($(glyph.north east) + (1,0)$)
    257 
    +                     -- ($(glyph.north east) + (1,0)$)
    235 258 
                        node [midway, right, description] {bearingY};
    236 259 
       \draw[span] ($(glyph.south east) + (5,0)$)
    237 260 
                     -- ($(glyph.north east) + (5,0)$)

  • freetype2/docs/glyphs/glyphs-6.html
    ... ... @@ -120,6 +120,13 @@
    120 120 
                 <li>
    121 121 
                   <p>Two successive &lsquo;on&rsquo; points indicate a
    122 122 
                     line segment joining them.</p>
    123 
    +
    124 
    +              <p align="center">
    125 
    +                <img src="">"outlines-1.svg"
    126 
    +                     height="40%"
    127 
    +                     width="40%"
    128 
    +                     alt="segment example">
    129 
    +              </p>
    123 130 
                 </li>
    124 131 
                 <li>
    125 132 
                   <p>One conic &lsquo;off&rsquo; point between two
    ... ... @@ -127,6 +134,13 @@
    127 134 
                     B&eacute;zier arc, the &lsquo;off&rsquo; point being
    128 135 
                     the control point, and the &lsquo;on&rsquo; ones the
    129 136 
                     start and end points.</p>
    137 
    +
    138 
    +              <p align="center">
    139 
    +                <img src="">"outlines-2.svg"
    140 
    +                     height="40%"
    141 
    +                     width="40%"
    142 
    +                     alt="conic arc example">
    143 
    +              </p>
    130 144 
                 </li>
    131 145 
                 <li>
    132 146 
                   <p>Two successive cubic &lsquo;off&rsquo; points between
    ... ... @@ -136,6 +150,13 @@
    136 150 
                     each cubic arc (using a single cubic &lsquo;off&rsquo;
    137 151 
                     point between two &lsquo;on&rsquo; points is
    138 152 
                     forbidden, for example).</p>
    153 
    +
    154 
    +              <p align="center">
    155 
    +                <img src="">"outlines-3.svg"
    156 
    +                     height="40%"
    157 
    +                     width="40%"
    158 
    +                     alt="cubic arc example">
    159 
    +              </p>
    139 160 
                 </li>
    140 161 
                 <li>
    141 162 
                   <p>Two successive conic &lsquo;off&rsquo; points force
    ... ... @@ -146,6 +167,13 @@
    146 167 
                     successive conic B&eacute;zier arcs.  Moreover, it is
    147 168 
                     the way outlines are described in the TrueType
    148 169 
                     specification.</p>
    170 
    +
    171 
    +              <p align="center">
    172 
    +                <img src="">"outlines-4.svg"
    173 
    +                     height="40%"
    174 
    +                     width="40%"
    175 
    +                     alt="cubic arc with virtual 'on' point">
    176 
    +              </p>
    149 177 
                 </li>
    150 178 
                 <li>
    151 179 
                   <p>The last point in a contour uses the first as an end
    ... ... @@ -172,37 +200,6 @@
    172 200 
                 single contour, however, no font driver of FreeType
    173 201 
                 produces such outlines currently.</p>
    174 202
    175 
    -          <table class="vertical-space">
    176 
    -            <tr>
    177 
    -              <td>
    178 
    -                <img src="">"points_segment.png"
    179 
    -                     height="166"
    180 
    -                     width="221"
    181 
    -                     alt="segment example">
    182 
    -              </td>
    183 
    -              <td>
    184 
    -                <img src="">"points_conic.png"
    185 
    -                     height="183"
    186 
    -                     width="236"
    187 
    -                     alt="conic arc example">
    188 
    -              </td>
    189 
    -            </tr>
    190 
    -            <tr>
    191 
    -              <td>
    192 
    -                <img src="">"points_cubic.png"
    193 
    -                     height="162"
    194 
    -                     width="214"
    195 
    -                     alt="cubic arc example">
    196 
    -              </td>
    197 
    -              <td>
    198 
    -                <img src="">"points_conic2.png"
    199 
    -                     height="204"
    200 
    -                     width="225"
    201 
    -                     alt="cubic arc with virtual 'on' point">
    202 
    -              </td>
    203 
    -            </tr>
    204 
    -          </table>
    205 
    -
    206 203
    207 204 
               <h4>b. The <code>FT_Outline</code> descriptor</h4>
    208 205
    ... ... @@ -312,24 +309,27 @@
    312 309 
                 the bbox, and the two boxes are identical in most
    313 310 
                 cases.</p>
    314 311
    315 
    -          <p>Unlike the bbox, the cbox is much faster to compute.</p>
    312 
    +          <p>Unlike the bbox, the cbox can be computed very
    313 
    +            quickly.</p>
    316 314
    317 
    -          <table class="vertical-space">
    318 
    -            <tr>
    319 
    -              <td>
    320 
    -                <img src="">"bbox1.png"
    321 
    -                     height="264"
    322 
    -                     width="228"
    323 
    -                     alt="a glyph with different bbox and cbox">
    324 
    -              </td>
    325 
    -              <td>
    326 
    -                <img src="">"bbox2.png"
    327 
    -                     height="229"
    328 
    -                     width="217"
    329 
    -                     alt="a glyph with identical bbox and cbox">
    330 
    -              </td>
    331 
    -            </tr>
    332 
    -          </table>
    315 
    +          <p>The following image shows B&eacute;zier curves where the
    316 
    +            bbox and the cbox differ.</p>
    317 
    +
    318 
    +          <p align="center">
    319 
    +            <img src="">"outlines-5.svg"
    320 
    +                 height="40%"
    321 
    +                 width="40%"
    322 
    +                 alt="a glyph with different bbox and cbox">
    323 
    +          </p>
    324 
    +
    325 
    +          <p>Adding points at the curve extrema avoids that.</p>
    326 
    +
    327 
    +          <p align="center">
    328 
    +            <img src="">"outlines-6.svg"
    329 
    +                 height="40%"
    330 
    +                 width="40%"
    331 
    +                 alt="a glyph with identical bbox and cbox">
    332 
    +          </p>
    333 333
    334 334 
               <p>Control and bounding boxes can be computed automatically
    335 335 
                 using the
    ... ... @@ -434,7 +434,7 @@ height = (ymax - ymin)/64</pre>
    434 434 
             <!-- ************************************************** -->
    435 435
    436 436 
             <div class="updated">
    437 
    -          <p>Last update: 15-Jan-2021</p>
    437 
    +          <p>Last update: 07-Oct-2022</p>
    438 438 
             </div>
    439 439 
           </div>
    440 440 
         </div>

  • freetype2/docs/glyphs/outlines-1.svg
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    2 
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    +<path style=" stroke:none;fill-rule:nonzero;fill:rgb(0%,0%,0%);fill-opacity:1;" d="M 8.503906 71.175781 L 14.480469 71.175781 L 14.480469 65.199219 L 8.503906 65.199219 Z M 8.503906 71.175781 "/>
    10 
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    11 
    +<g clip-path="url(#clip1)" clip-rule="nonzero">
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    13 
    +</g>
    14 
    +</g>
    15 
    +</svg>

  • freetype2/docs/glyphs/outlines-2.svg
    1 
    +<?xml version="1.0" encoding="UTF-8"?>
    2 
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    3 
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    +  <path d="M 0 5 L 193.058594 5 L 193.058594 108.519531 L 0 108.519531 Z M 0 5 "/>
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    13 
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    +<g clip-path="url(#clip1)" clip-rule="nonzero">
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  • freetype2/docs/glyphs/outlines-3.svg
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    4 
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    +  <path d="M 0 29 L 53 29 L 53 108.519531 L 0 108.519531 Z M 0 29 "/>
    6 
    +</clipPath>
    7 
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    8 
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    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:5.97766,9.47574;stroke-miterlimit:10;" d="M 130.026531 -40.054125 L 167.092938 -2.987719 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    80 
    +</g>
    81 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.10158;stroke-miterlimit:10;" d="M -0.0008125 2.988844 L -0.0008125 42.520094 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    82 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.01855;stroke-miterlimit:10;" d="M -0.0008125 42.520094 L 39.034344 42.520094 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    83 
    +<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
    84 
    +  <use xlink:href="">"#glyph0-1" x="12.909" y="21.832"/>
    85 
    +  <use xlink:href="">"#glyph0-2" x="18.489672" y="21.832"/>
    86 
    +</g>
    87 
    +<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
    88 
    +  <use xlink:href="">"#glyph0-3" x="25.476271" y="21.832"/>
    89 
    +</g>
    90 
    +<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
    91 
    +  <use xlink:href="">"#glyph0-4" x="31.802945" y="21.832"/>
    92 
    +</g>
    93 
    +<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
    94 
    +  <use xlink:href="">"#glyph0-5" x="42.189594" y="21.832"/>
    95 
    +</g>
    96 
    +<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
    97 
    +  <use xlink:href="">"#glyph0-2" x="53.336592" y="21.832"/>
    98 
    +  <use xlink:href="">"#glyph0-2" x="60.194075" y="21.832"/>
    99 
    +</g>
    100 
    +<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
    101 
    +  <use xlink:href="">"#glyph0-3" x="67.195021" y="21.832"/>
    102 
    +</g>
    103 
    +<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
    104 
    +  <use xlink:href="">"#glyph0-4" x="73.521695" y="21.832"/>
    105 
    +</g>
    106 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.01855;stroke-miterlimit:10;" d="M 131.046063 42.520094 L 170.081219 42.520094 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    107 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.10158;stroke-miterlimit:10;" d="M 170.081219 42.520094 L 170.081219 2.988844 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    108 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.10158;stroke-miterlimit:10;" d="M -0.0008125 -2.987719 L -0.0008125 -42.518969 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    109 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.01855;stroke-miterlimit:10;" d="M -0.0008125 -42.518969 L 39.034344 -42.518969 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    110 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.01855;stroke-miterlimit:10;" d="M 131.046063 -42.518969 L 170.081219 -42.518969 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    111 
    +<path style="fill:none;stroke-width:0.99628;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-dasharray:2.98883,3.10158;stroke-miterlimit:10;" d="M 170.081219 -42.518969 L 170.081219 -2.987719 " transform="matrix(1,0,0,-1,11.493,71.149)"/>
    112 
    +</g>
    113 
    +</svg>

  • freetype2/docs/glyphs/outlines.tex
    1 
    +% outlines.tex
    2 
    +%
    3 
    +% written 2022 by Werner Lemberg <wl@gnu.org>
    4 
    +
    5 
    +
    6 
    +% This file contains graphics used for the 'FreeType Glyph Conventions'
    7 
    +% tutorial, part 6, 'FreeType Outlines'.
    8 
    +
    9 
    +
    10 
    +% Here is one possibility to convert this LaTeX file to both PNG and SVG
    11 
    +% formats.
    12 
    +%
    13 
    +%   xelatex outlines.tex
    14 
    +%
    15 
    +%   pdftoppm -png -f 1 -l 4 -r 120 outlines.pdf outlines
    16 
    +%   optipng outlines-*.png
    17 
    +%
    18 
    +%   for i in 1 2 3 4 5 6; do
    19 
    +%     pdf2svg outlines.pdf outlines-$i.svg $i
    20 
    +%   done
    21 
    +
    22 
    +
    23 
    +\documentclass[tikz, border=3mm]{standalone}
    24 
    +
    25 
    +\usepackage{libertinus}
    26 
    +
    27 
    +\usetikzlibrary{
    28 
    +  calc,
    29 
    +  decorations,
    30 
    +  fit,
    31 
    +  positioning}
    32 
    +
    33 
    +% We need exact bounding boxes.
    34 
    +\usepgflibrary{bbox}
    35 
    +
    36 
    +
    37 
    +% A square shape.
    38 
    +%
    39 
    +% Taken from
    40 
    +% https://tex.stackexchange.com/questions/300098/draw-a-node-as-a-square-with-tikz
    41 
    +\makeatletter
    42 
    +\def\squarecorner#1{
    43 
    +  % Calculate x
    44 
    +  %
    45 
    +  % First, is width < minimum width?
    46 
    +  \pgf@x=\the\wd\pgfnodeparttextbox
    47 
    +  \pgfmathsetlength\pgf@xc{\pgfkeysvalueof{/pgf/inner xsep}}
    48 
    +  \advance\pgf@x by 2\pgf@xc
    49 
    +  \pgfmathsetlength\pgf@xb{\pgfkeysvalueof{/pgf/minimum width}}
    50 
    +  \ifdim\pgf@x<\pgf@xb
    51 
    +    % Yes, too small.  Enlarge...
    52 
    +    \pgf@x=\pgf@xb
    53 
    +  \fi
    54 
    +
    55 
    +  % Calculate y
    56 
    +  %
    57 
    +  % First, is height+depth < minimum height?
    58 
    +  \pgf@y=\ht\pgfnodeparttextbox
    59 
    +  \advance\pgf@y by\dp\pgfnodeparttextbox
    60 
    +  \pgfmathsetlength\pgf@yc{\pgfkeysvalueof{/pgf/inner ysep}}
    61 
    +  \advance\pgf@y by 2\pgf@yc
    62 
    +  \pgfmathsetlength\pgf@yb{\pgfkeysvalueof{/pgf/minimum height}}
    63 
    +  \ifdim\pgf@y<\pgf@yb
    64 
    +    % Yes, too small.  Enlarge...
    65 
    +    \pgf@y=\pgf@yb
    66 
    +  \fi
    67 
    +
    68 
    +  % This `\ifdim` is the actual part that makes the node dimensions square.
    69 
    +  \ifdim\pgf@x<\pgf@y
    70 
    +    \pgf@x=\pgf@y
    71 
    +  \else
    72 
    +    \pgf@y=\pgf@x
    73 
    +  \fi
    74 
    +
    75 
    +  % Calculate right border:
    76 
    +  % `.5\wd\pgfnodeparttextbox + .5 \pgf@x + #1outer sep`.
    77 
    +  \pgf@x=#1.5\pgf@x
    78 
    +  \advance\pgf@x by.5\wd\pgfnodeparttextbox
    79 
    +  \pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/outer xsep}}
    80 
    +  \advance\pgf@x by#1\pgf@xa
    81 
    +
    82 
    +  % Calculate upper border:
    83 
    +  % `.5\ht-.5\dp + .5 \pgf@y + #1outer sep`.
    84 
    +  \pgf@y=#1.5\pgf@y
    85 
    +  \advance\pgf@y by-.5\dp\pgfnodeparttextbox
    86 
    +  \advance\pgf@y by.5\ht\pgfnodeparttextbox
    87 
    +  \pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/outer ysep}}
    88 
    +  \advance\pgf@y by#1\pgf@ya
    89 
    +}
    90 
    +\makeatother
    91 
    +
    92 
    +\pgfdeclareshape{square}{
    93 
    +  \savedanchor\northeast{\squarecorner{}}
    94 
    +  \savedanchor\southwest{\squarecorner{-}}
    95 
    +
    96 
    +  \foreach \x in {east, west}
    97 
    +    \foreach \y in {north, mid, base, south}
    98 
    +      {\inheritanchor[from=rectangle]{\y\space\x}}
    99 
    +
    100 
    +  \foreach \x in {east, west, north, mid, base, south, center, text}
    101 
    +    {\inheritanchor[from=rectangle]{\x}}
    102 
    +
    103 
    +  \inheritanchorborder[from=rectangle]
    104 
    +  \inheritbackgroundpath[from=rectangle]
    105 
    +}
    106 
    +
    107 
    +
    108 
    +% Node styles.
    109 
    +\tikzset{
    110 
    +  % For second-order Bézier curves.
    111 
    +  conic/.style={
    112 
    +    to path={(\tikztostart)
    113 
    +               .. controls ($#1!1/3!(\tikztostart)$)
    114 
    +                  and ($#1!1/3!(\tikztotarget)$)
    115 
    +               .. (\tikztotarget)}},
    116 
    +%
    117 
    +  % For virtual on-points.
    118 
    +  hollow square/.style={
    119 
    +    square,
    120 
    +    line width=1pt,
    121 
    +    draw,
    122 
    +    fill=white,
    123 
    +    minimum size=6pt,
    124 
    +    inner sep=0pt,
    125 
    +    outer sep=0pt},
    126 
    +%
    127 
    +  % For on-points.
    128 
    +  filled square/.style={
    129 
    +    square,
    130 
    +    fill,
    131 
    +    minimum size=6pt,
    132 
    +    inner sep=0pt,
    133 
    +    outer sep=0pt},
    134 
    +%
    135 
    +  % 'Elastic dashes' adapt spaces between dashes to the line length so that
    136 
    +  % the last dash doesn't get cut off partially.
    137 
    +  %
    138 
    +  % Taken from
    139 
    +  % https://tex.stackexchange.com/questions/133271/can-tikz-dashed-lines-emulate-pstricks-dashed-lines
    140 
    +  elastic dash/.code args={on #1 off #2}{
    141 
    +    % Use csname so catcode of @ doesn't have do be changed.
    142 
    +    \csname tikz@addoption\endcsname{%
    143 
    +      \pgfgetpath\currentpath
    144 
    +      \pgfprocessround{\currentpath}{\currentpath}%
    145 
    +      \csname pgf@decorate@parsesoftpath\endcsname
    146 
    +        {\currentpath}{\currentpath}%
    147 
    +      \pgfmathparse{\csname pgf@decorate@totalpathlength\endcsname-#1}%
    148 
    +      \let\rest=\pgfmathresult
    149 
    +      \pgfmathparse{#1+#2}%
    150 
    +      \let\onoff=\pgfmathresult
    151 
    +      \pgfmathparse{max(floor(\rest/\onoff), 1)}%
    152 
    +      \let\nfullonoff=\pgfmathresult
    153 
    +      \pgfmathparse{max((\rest-\onoff*\nfullonoff)/\nfullonoff+#2, #2)}%
    154 
    +      \let\offexpand=\pgfmathresult
    155 
    +      \pgfsetdash{{#1}{\offexpand}}{0pt}}},
    156 
    +%
    157 
    +  % For main curves.
    158 
    +  line/.style={
    159 
    +    line width=2pt},
    160 
    +%
    161 
    +  % For auxiliary, dashed curves.
    162 
    +  dashed line/.style={
    163 
    +    elastic dash=on 6pt off 6pt,
    164 
    +    line width=1pt},
    165 
    +  % For auxiliary, densely dashed curves.
    166 
    +  densely dashed line/.style={
    167 
    +    elastic dash=on 3pt off 3pt,
    168 
    +    line width=1pt},
    169 
    +%
    170 
    +  % For off-points.
    171 
    +  hollow dot/.style={
    172 
    +    draw,
    173 
    +    line width=1pt,
    174 
    +    circle,
    175 
    +    minimum size=6pt,
    176 
    +    inner sep=0pt},
    177 
    +%
    178 
    +  % For explanations.
    179 
    +  description/.style={
    180 
    +    font=\Large\itshape},
    181 
    +}
    182 
    +
    183 
    +
    184 
    +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    185 
    +
    186 
    +\begin{document}
    187 
    +
    188 
    +% It looks better for the curves to start and end at the center of the
    189 
    +% nodes, avoiding a little bit of unwanted whitespace next to the on-point
    190 
    +% boxes.
    191 
    +
    192 
    +% A line segment.
    193 
    +
    194 
    +\begin{tikzpicture}
    195 
    +  \node[filled square] (A) at (0,0) {};
    196 
    +  \node[filled square] (B) at (6,2) {};
    197 
    +
    198 
    +  \draw[line] (A.center) -- (B.center);
    199 
    +\end{tikzpicture}
    200 
    +
    201 
    +
    202 
    +% A conic curve with one off-point.
    203 
    +
    204 
    +\begin{tikzpicture}
    205 
    +  \node[filled square] (A) at (0,0) {};
    206 
    +  \node[hollow dot] (B) at (2,3) {};
    207 
    +  \node[filled square] (C) at (6,2) {};
    208 
    +
    209 
    +  \draw[dashed line] (A) -- (B);
    210 
    +  \draw[dashed line] (B) -- (C);
    211 
    +
    212 
    +  \draw[line] (A.center) to[conic={(B)}] (C.center);
    213 
    +\end{tikzpicture}
    214 
    +
    215 
    +
    216 
    +% A cubic curve with two off-points.
    217 
    +
    218 
    +\begin{tikzpicture}
    219 
    +  \node[filled square] (A) at (0,0) {};
    220 
    +  \node[hollow dot] (B) at (1,2) {};
    221 
    +  \node[hollow dot] (C) at (4,3) {};
    222 
    +  \node[filled square] (D) at (6,2) {};
    223 
    +
    224 
    +  \draw[dashed line] (A) -- (B);
    225 
    +  \draw[dashed line] (B) -- (C);
    226 
    +  \draw[dashed line] (C) -- (D);
    227 
    +
    228 
    +  \draw[line] (A.center) .. controls (B) and (C) .. (D.center);
    229 
    +\end{tikzpicture}
    230 
    +
    231 
    +
    232 
    +% A conic curve with two off-points and virtual on-point inbetween.
    233 
    +
    234 
    +\begin{tikzpicture}
    235 
    +  \node[filled square] (A) at (0,0) {};
    236 
    +  \node[hollow dot] (B) at (1,2) {};
    237 
    +  \node[hollow dot] (D) at (5,0) {};
    238 
    +  \node[filled square] (E) at (6,2) {};
    239 
    +
    240 
    +  \coordinate (C) at ($ (B) !.5! (D) $);
    241 
    +
    242 
    +  \draw[dashed line] (A) -- (B);
    243 
    +  \draw[dashed line] (B) -- (C);
    244 
    +  \draw[dashed line] (C) -- (D);
    245 
    +  \draw[dashed line] (D) -- (E);
    246 
    +
    247 
    +  \draw[line] (A.center) to[conic={(B)}] (C.center);
    248 
    +  \draw[line] (C.center) to[conic={(D)}] (E.center);
    249 
    +
    250 
    +  % This comes last since it must white out the inner part of the box.
    251 
    +  \node[hollow square] at (C) {};
    252 
    +\end{tikzpicture}
    253 
    +
    254 
    +
    255 
    +% Show that the bounding box (bbox) can differ from the control point
    256 
    +% bounding box (cbox).
    257 
    +
    258 
    +\begin{tikzpicture}[bezier bounding box]
    259 
    +  \coordinate (A) at (0,0);
    260 
    +  \coordinate (B) at (3,3);
    261 
    +  \coordinate (B') at (3,-3);
    262 
    +  \coordinate (C) at (6,0);
    263 
    +
    264 
    +  \path[save path=\pathtop] (A.center) to[conic={(B)}] (C.center);
    265 
    +  \path[save path=\pathbottom] (A.center) to[conic={(B')}] (C.center);
    266 
    +
    267 
    +  \node[fit=(current bounding box),
    268 
    +        inner sep=0pt,
    269 
    +        outer sep=0pt] (bbox) {};
    270 
    +
    271 
    +  \node[filled square] (A) at (A) {};
    272 
    +  \node[hollow dot] (B) at (B) {};
    273 
    +  \node[hollow dot] (B') at (B') {};
    274 
    +  \node[filled square] (C) at (C) {};
    275 
    +
    276 
    +  \draw[dashed line] (A) -- (B);
    277 
    +  \draw[dashed line] (B) -- (C);
    278 
    +  \draw[dashed line] (A) -- (B');
    279 
    +  \draw[dashed line] (B') -- (C);
    280 
    +
    281 
    +  \draw[line] [use path=\pathtop];
    282 
    +  \draw[line] [use path=\pathbottom];
    283 
    +
    284 
    +  \draw[densely dashed line] (A) -- (A |- B);
    285 
    +  \draw[densely dashed line] (A |- B) -- (B);
    286 
    +  \draw[densely dashed line] (B) -- (B -| C)
    287 
    +    node[description, pos=0.8, above] {cbox};
    288 
    +  \draw[densely dashed line] (B -| C) -- (C);
    289 
    +
    290 
    +  \draw[densely dashed line] (A) -- (A |- B');
    291 
    +  \draw[densely dashed line] (A |- B') -- (B');
    292 
    +  \draw[densely dashed line] (B') -- (B' -| C);
    293 
    +  \draw[densely dashed line] (B' -| C) -- (C);
    294 
    +
    295 
    +  \draw[densely dashed line] (bbox.north west) -- (bbox.north east)
    296 
    +    node[description, pos=0.1, above] {bbox};
    297 
    +  \draw[densely dashed line] (bbox.south west) -- (bbox.south east);
    298 
    +\end{tikzpicture}
    299 
    +
    300 
    +
    301 
    +% Show that the bounding box (bbox) is identical to the control point
    302 
    +% bounding box (cbox) if the curve uses points at the extrema.
    303 
    +
    304 
    +\begin{tikzpicture}
    305 
    +  \coordinate (P) at (3,3);
    306 
    +  \coordinate (P') at (3,-3);
    307 
    +
    308 
    +  \node[filled square] (A) at (0,0) {};
    309 
    +  \node[filled square] (E) at (6,0) {};
    310 
    +
    311 
    +  \node[hollow dot] (B) at ($ (A) !.5! (P) $) {};
    312 
    +  \node[hollow dot] (D) at ($ (P) !.5! (E) $) {};
    313 
    +  \node[filled square] (C) at ($ (B) !.5! (D) $) {};
    314 
    +
    315 
    +  \node[hollow dot] (B') at ($ (A) !.5! (P') $) {};
    316 
    +  \node[hollow dot] (D') at ($ (P') !.5! (E) $) {};
    317 
    +  \node[filled square] (C') at ($ (B') !.5! (D') $) {};
    318 
    +
    319 
    +  % It looks better for these two curves to start and end at the center of
    320 
    +  % the nodes, avoiding a little bit of unwanted whitespace next to the
    321 
    +  % on-point boxes.
    322 
    +  \draw[line] (A.center) to[conic={(B)}] (C.center);
    323 
    +  \draw[line] (C.center) to[conic={(D)}] (E.center);
    324 
    +  \draw[line] (A.center) to[conic={(B')}] (C'.center);
    325 
    +  \draw[line] (C'.center) to[conic={(D')}] (E.center);
    326 
    +
    327 
    +  \draw[dashed line] (A) -- (B);
    328 
    +  \draw[dashed line] (B) -- (C);
    329 
    +  \draw[dashed line] (C) -- (D);
    330 
    +  \draw[dashed line] (D) -- (E);
    331 
    +
    332 
    +  \draw[dashed line] (A) -- (B');
    333 
    +  \draw[dashed line] (B') -- (C');
    334 
    +  \draw[dashed line] (C') -- (D');
    335 
    +  \draw[dashed line] (D') -- (E);
    336 
    +
    337 
    +  \draw[densely dashed line] (A) -- (A |- B);
    338 
    +  \draw[densely dashed line] (A |- B) -- (B)
    339 
    +    node[description, pos=0.9, above, yshift=1mm] {cbox = bbox};
    340 
    +  \draw[densely dashed line] (D) -- (D -| E);
    341 
    +  \draw[densely dashed line] (D -| E) -- (E);
    342 
    +
    343 
    +  \draw[densely dashed line] (A) -- (A |- B');
    344 
    +  \draw[densely dashed line] (A |- B') -- (B');
    345 
    +  \draw[densely dashed line] (D') -- (D' -| E);
    346 
    +  \draw[densely dashed line] (D' -| E) -- (E);
    347 
    +\end{tikzpicture}
    348 
    +
    349 
    +\end{document}

  • freetype2/docs/glyphs/points_conic.png deleted
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