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| author | marha <marha@users.sourceforge.net> | 2015-02-22 21:39:56 +0100 |
|---|---|---|
| committer | marha <marha@users.sourceforge.net> | 2015-02-22 21:39:56 +0100 |
| commit | 462f18c7b25fe3e467f837647d07ab0a78aa8d2b (patch) | |
| tree | fc8013c0a1bac05a1945846c1697e973f4c35013 /freetype/docs/reference/ft2-computations.html | |
| parent | 36f711ee12b6dd5184198abed3aa551efb585587 (diff) | |
| download | vcxsrv-462f18c7b25fe3e467f837647d07ab0a78aa8d2b.tar.gz vcxsrv-462f18c7b25fe3e467f837647d07ab0a78aa8d2b.tar.bz2 vcxsrv-462f18c7b25fe3e467f837647d07ab0a78aa8d2b.zip | |
Merged origin/release (checked in because wanted to merge new stuff)
Diffstat (limited to 'freetype/docs/reference/ft2-computations.html')
| -rw-r--r-- | freetype/docs/reference/ft2-computations.html | 1002 |
1 files changed, 435 insertions, 567 deletions
diff --git a/freetype/docs/reference/ft2-computations.html b/freetype/docs/reference/ft2-computations.html index 3bee10452..a7771ef41 100644 --- a/freetype/docs/reference/ft2-computations.html +++ b/freetype/docs/reference/ft2-computations.html @@ -3,830 +3,698 @@ <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8"> -<title>FreeType-2.5.3 API Reference</title> +<title>FreeType-2.5.5 API Reference</title> <style type="text/css"> + a:link { color: #0000EF; } + a:visited { color: #51188E; } + a:hover { color: #FF0000; } + body { font-family: Verdana, Geneva, Arial, Helvetica, serif; color: #000000; - background: #FFFFFF; } + background: #FFFFFF; + width: 87%; + margin: auto; } + + div.section { width: 75%; + margin: auto; } + div.section hr { margin: 4ex 0 1ex 0; } + div.section h4 { background-color: #EEEEFF; + font-size: medium; + font-style: oblique; + font-weight: bold; + margin: 3ex 0 1.5ex 9%; + padding: 0.3ex 0 0.3ex 1%; } + div.section p { margin: 1.5ex 0 1.5ex 10%; } + div.section pre { margin: 3ex 0 3ex 9%; + background-color: #D6E8FF; + padding: 2ex 0 2ex 1%; } + div.section table.fields { width: 90%; + margin: 1.5ex 0 1.5ex 10%; } + div.section table.toc { width: 95%; + margin: 1.5ex 0 1.5ex 5%; } + div.timestamp { text-align: center; + font-size: 69%; + margin: 1.5ex 0 1.5ex 0; } - p { text-align: justify; } h1 { text-align: center; } - li { text-align: justify; } - td { padding: 0 0.5em 0 0.5em; } - td.left { padding: 0 0.5em 0 0.5em; - text-align: left; } + h3 { font-size: medium; + margin: 4ex 0 1.5ex 0; } - a:link { color: #0000EF; } - a:visited { color: #51188E; } - a:hover { color: #FF0000; } + p { text-align: justify; } + + pre.colored { color: blue; } span.keyword { font-family: monospace; text-align: left; white-space: pre; color: darkblue; } - pre.colored { color: blue; } + table.fields td.val { font-weight: bold; + text-align: right; + width: 30%; + vertical-align: baseline; + padding: 1ex 1em 1ex 0; } + table.fields td.desc { vertical-align: baseline; + padding: 1ex 0 1ex 1em; } + table.fields td.desc p:first-child { margin: 0; } + table.fields td.desc p { margin: 1.5ex 0 0 0; } + table.index { margin: 6ex auto 6ex auto; + border: 0; + border-collapse: separate; + border-spacing: 1em 0.3ex; } + table.index tr { padding: 0; } + table.index td { padding: 0; } + table.index-toc-link { width: 100%; + border: 0; + border-spacing: 0; + margin: 1ex 0 1ex 0; } + table.index-toc-link td.left { padding: 0 0.5em 0 0.5em; + font-size: 83%; + text-align: left; } + table.index-toc-link td.middle { padding: 0 0.5em 0 0.5em; + font-size: 83%; + text-align: center; } + table.index-toc-link td.right { padding: 0 0.5em 0 0.5em; + font-size: 83%; + text-align: right; } + table.synopsis { margin: 6ex auto 6ex auto; + border: 0; + border-collapse: separate; + border-spacing: 2em 0.6ex; } + table.synopsis tr { padding: 0; } + table.synopsis td { padding: 0; } + table.toc td.link { width: 30%; + text-align: right; + vertical-align: baseline; + padding: 1ex 1em 1ex 0; } + table.toc td.desc { vertical-align: baseline; + padding: 1ex 0 1ex 1em; + text-align: left; } + table.toc td.desc p:first-child { margin: 0; + text-align: left; } + table.toc td.desc p { margin: 1.5ex 0 0 0; + text-align: left; } - ul.empty { list-style-type: none; } </style> </head> <body> -<table align=center><tr><td><font size=-1>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-1>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> -<center><h1>FreeType-2.5.3 API Reference</h1></center> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table> +<h1>FreeType-2.5.5 API Reference</h1> -<center><h1> -Computations -</h1></center> +<h1>Computations</h1> <h2>Synopsis</h2> -<table align=center cellspacing=5 cellpadding=0 border=0> -<tr><td></td><td><a href="#FT_MulDiv">FT_MulDiv</a></td><td></td><td><a href="#FT_Matrix_Invert">FT_Matrix_Invert</a></td><td></td><td><a href="#FT_Tan">FT_Tan</a></td></tr> -<tr><td></td><td><a href="#FT_MulFix">FT_MulFix</a></td><td></td><td><a href="#FT_Angle">FT_Angle</a></td><td></td><td><a href="#FT_Atan2">FT_Atan2</a></td></tr> -<tr><td></td><td><a href="#FT_DivFix">FT_DivFix</a></td><td></td><td><a href="#FT_ANGLE_PI">FT_ANGLE_PI</a></td><td></td><td><a href="#FT_Angle_Diff">FT_Angle_Diff</a></td></tr> -<tr><td></td><td><a href="#FT_RoundFix">FT_RoundFix</a></td><td></td><td><a href="#FT_ANGLE_2PI">FT_ANGLE_2PI</a></td><td></td><td><a href="#FT_Vector_Unit">FT_Vector_Unit</a></td></tr> -<tr><td></td><td><a href="#FT_CeilFix">FT_CeilFix</a></td><td></td><td><a href="#FT_ANGLE_PI2">FT_ANGLE_PI2</a></td><td></td><td><a href="#FT_Vector_Rotate">FT_Vector_Rotate</a></td></tr> -<tr><td></td><td><a href="#FT_FloorFix">FT_FloorFix</a></td><td></td><td><a href="#FT_ANGLE_PI4">FT_ANGLE_PI4</a></td><td></td><td><a href="#FT_Vector_Length">FT_Vector_Length</a></td></tr> -<tr><td></td><td><a href="#FT_Vector_Transform">FT_Vector_Transform</a></td><td></td><td><a href="#FT_Sin">FT_Sin</a></td><td></td><td><a href="#FT_Vector_Polarize">FT_Vector_Polarize</a></td></tr> -<tr><td></td><td><a href="#FT_Matrix_Multiply">FT_Matrix_Multiply</a></td><td></td><td><a href="#FT_Cos">FT_Cos</a></td><td></td><td><a href="#FT_Vector_From_Polar">FT_Vector_From_Polar</a></td></tr> -</table><br><br> - -<table align=center width="87%"><tr><td> +<table class="synopsis"> +<tr><td><a href="#FT_MulDiv">FT_MulDiv</a></td><td> </td><td><a href="#FT_Atan2">FT_Atan2</a></td></tr> +<tr><td><a href="#FT_MulFix">FT_MulFix</a></td><td><a href="#FT_Angle">FT_Angle</a></td><td><a href="#FT_Angle_Diff">FT_Angle_Diff</a></td></tr> +<tr><td><a href="#FT_DivFix">FT_DivFix</a></td><td><a href="#FT_ANGLE_PI">FT_ANGLE_PI</a></td><td><a href="#FT_Vector_Unit">FT_Vector_Unit</a></td></tr> +<tr><td><a href="#FT_RoundFix">FT_RoundFix</a></td><td><a href="#FT_ANGLE_2PI">FT_ANGLE_2PI</a></td><td><a href="#FT_Vector_Rotate">FT_Vector_Rotate</a></td></tr> +<tr><td><a href="#FT_CeilFix">FT_CeilFix</a></td><td><a href="#FT_ANGLE_PI2">FT_ANGLE_PI2</a></td><td><a href="#FT_Vector_Length">FT_Vector_Length</a></td></tr> +<tr><td><a href="#FT_FloorFix">FT_FloorFix</a></td><td><a href="#FT_ANGLE_PI4">FT_ANGLE_PI4</a></td><td><a href="#FT_Vector_Polarize">FT_Vector_Polarize</a></td></tr> +<tr><td><a href="#FT_Vector_Transform">FT_Vector_Transform</a></td><td><a href="#FT_Sin">FT_Sin</a></td><td><a href="#FT_Vector_From_Polar">FT_Vector_From_Polar</a></td></tr> +<tr><td><a href="#FT_Matrix_Multiply">FT_Matrix_Multiply</a></td><td><a href="#FT_Cos">FT_Cos</a></td><td></td></tr> +<tr><td><a href="#FT_Matrix_Invert">FT_Matrix_Invert</a></td><td><a href="#FT_Tan">FT_Tan</a></td><td></td></tr> +</table> + + <p>This section contains various functions used to perform computations on 16.16 fixed-float numbers or 2d vectors.</p> -</td></tr></table><br> -<table align=center width="75%"><tr><td> -<h4><a name="FT_MulDiv">FT_MulDiv</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_FREETYPE_H (freetype.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<div class="section"> +<h3 id="FT_MulDiv">FT_MulDiv</h3> +<p>Defined in FT_FREETYPE_H (freetype.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Long">FT_Long</a> ) <b>FT_MulDiv</b>( <a href="ft2-basic_types.html#FT_Long">FT_Long</a> a, <a href="ft2-basic_types.html#FT_Long">FT_Long</a> b, <a href="ft2-basic_types.html#FT_Long">FT_Long</a> c ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>A very simple function used to perform the computation ‘(a*b)/c’ with maximum accuracy (it uses a 64-bit intermediate integer whenever necessary).</p> <p>This function isn't necessarily as fast as some processor specific operations, but is at least completely portable.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>a</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="a">a</td><td class="desc"> <p>The first multiplier.</p> </td></tr> -<tr valign=top><td><b>b</b></td><td> +<tr><td class="val" id="b">b</td><td class="desc"> <p>The second multiplier.</p> </td></tr> -<tr valign=top><td><b>c</b></td><td> +<tr><td class="val" id="c">c</td><td class="desc"> <p>The divisor.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The result of ‘(a*b)/c’. This function never traps when trying to divide by zero; it simply returns ‘MaxInt’ or ‘MinInt’ depending on the signs of ‘a’ and ‘b’.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_MulFix">FT_MulFix</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_FREETYPE_H (freetype.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_MulFix">FT_MulFix</h3> +<p>Defined in FT_FREETYPE_H (freetype.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Long">FT_Long</a> ) <b>FT_MulFix</b>( <a href="ft2-basic_types.html#FT_Long">FT_Long</a> a, <a href="ft2-basic_types.html#FT_Long">FT_Long</a> b ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>A very simple function used to perform the computation ‘(a*b)/0x10000’ with maximum accuracy. Most of the time this is used to multiply a given value by a 16.16 fixed-point factor.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>a</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="a">a</td><td class="desc"> <p>The first multiplier.</p> </td></tr> -<tr valign=top><td><b>b</b></td><td> +<tr><td class="val" id="b">b</td><td class="desc"> <p>The second multiplier. Use a 16.16 factor here whenever possible (see note below).</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The result of ‘(a*b)/0x10000’.</p> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>note</b></em></td></tr><tr><td> + +<h4>note</h4> <p>This function has been optimized for the case where the absolute value of ‘a’ is less than 2048, and ‘b’ is a 16.16 scaling factor. As this happens mainly when scaling from notional units to fractional pixels in FreeType, it resulted in noticeable speed improvements between versions 2.x and 1.x.</p> <p>As a conclusion, always try to place a 16.16 factor as the <i>second</i> argument of this function; this can make a great difference.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_DivFix">FT_DivFix</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_FREETYPE_H (freetype.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_DivFix">FT_DivFix</h3> +<p>Defined in FT_FREETYPE_H (freetype.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Long">FT_Long</a> ) <b>FT_DivFix</b>( <a href="ft2-basic_types.html#FT_Long">FT_Long</a> a, <a href="ft2-basic_types.html#FT_Long">FT_Long</a> b ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>A very simple function used to perform the computation ‘(a*0x10000)/b’ with maximum accuracy. Most of the time, this is used to divide a given value by a 16.16 fixed-point factor.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>a</b></td><td> -<p>The first multiplier.</p> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="a">a</td><td class="desc"> +<p>The numerator.</p> </td></tr> -<tr valign=top><td><b>b</b></td><td> -<p>The second multiplier. Use a 16.16 factor here whenever possible (see note below).</p> +<tr><td class="val" id="b">b</td><td class="desc"> +<p>The denominator. Use a 16.16 factor here.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The result of ‘(a*0x10000)/b’.</p> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>note</b></em></td></tr><tr><td> -<p>The optimization for FT_DivFix() is simple: If (a << 16) fits in 32 bits, then the division is computed directly. Otherwise, we use a specialized version of <a href="ft2-computations.html#FT_MulDiv">FT_MulDiv</a>.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_RoundFix">FT_RoundFix</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_FREETYPE_H (freetype.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_RoundFix">FT_RoundFix</h3> +<p>Defined in FT_FREETYPE_H (freetype.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> ) <b>FT_RoundFix</b>( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> a ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>A very simple function used to round a 16.16 fixed number.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>a</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="a">a</td><td class="desc"> <p>The number to be rounded.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The result of ‘(a + 0x8000) & -0x10000’.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_CeilFix">FT_CeilFix</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_FREETYPE_H (freetype.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_CeilFix">FT_CeilFix</h3> +<p>Defined in FT_FREETYPE_H (freetype.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> ) <b>FT_CeilFix</b>( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> a ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>A very simple function used to compute the ceiling function of a 16.16 fixed number.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>a</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="a">a</td><td class="desc"> <p>The number for which the ceiling function is to be computed.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The result of ‘(a + 0x10000 - 1) & -0x10000’.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_FloorFix">FT_FloorFix</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_FREETYPE_H (freetype.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_FloorFix">FT_FloorFix</h3> +<p>Defined in FT_FREETYPE_H (freetype.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> ) <b>FT_FloorFix</b>( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> a ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>A very simple function used to compute the floor function of a 16.16 fixed number.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>a</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="a">a</td><td class="desc"> <p>The number for which the floor function is to be computed.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The result of ‘a & -0x10000’.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Vector_Transform">FT_Vector_Transform</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_FREETYPE_H (freetype.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Vector_Transform">FT_Vector_Transform</h3> +<p>Defined in FT_FREETYPE_H (freetype.h).</p> +<pre> FT_EXPORT( <span class="keyword">void</span> ) <b>FT_Vector_Transform</b>( <a href="ft2-basic_types.html#FT_Vector">FT_Vector</a>* vec, <span class="keyword">const</span> <a href="ft2-basic_types.html#FT_Matrix">FT_Matrix</a>* matrix ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Transform a single vector through a 2x2 matrix.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>inout</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>vector</b></td><td> + +<h4>inout</h4> +<table class="fields"> +<tr><td class="val" id="vector">vector</td><td class="desc"> <p>The target vector to transform.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>matrix</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="matrix">matrix</td><td class="desc"> <p>A pointer to the source 2x2 matrix.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>note</b></em></td></tr><tr><td> + +<h4>note</h4> <p>The result is undefined if either ‘vector’ or ‘matrix’ is invalid.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Matrix_Multiply">FT_Matrix_Multiply</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_GLYPH_H (ftglyph.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Matrix_Multiply">FT_Matrix_Multiply</h3> +<p>Defined in FT_GLYPH_H (ftglyph.h).</p> +<pre> FT_EXPORT( <span class="keyword">void</span> ) <b>FT_Matrix_Multiply</b>( <span class="keyword">const</span> <a href="ft2-basic_types.html#FT_Matrix">FT_Matrix</a>* a, <a href="ft2-basic_types.html#FT_Matrix">FT_Matrix</a>* b ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Perform the matrix operation ‘b = a*b’.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>a</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="a">a</td><td class="desc"> <p>A pointer to matrix ‘a’.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>inout</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>b</b></td><td> + +<h4>inout</h4> +<table class="fields"> +<tr><td class="val" id="b">b</td><td class="desc"> <p>A pointer to matrix ‘b’.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>note</b></em></td></tr><tr><td> + +<h4>note</h4> <p>The result is undefined if either ‘a’ or ‘b’ is zero.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Matrix_Invert">FT_Matrix_Invert</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_GLYPH_H (ftglyph.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Matrix_Invert">FT_Matrix_Invert</h3> +<p>Defined in FT_GLYPH_H (ftglyph.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Error">FT_Error</a> ) <b>FT_Matrix_Invert</b>( <a href="ft2-basic_types.html#FT_Matrix">FT_Matrix</a>* matrix ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Invert a 2x2 matrix. Return an error if it can't be inverted.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>inout</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>matrix</b></td><td> + +<h4>inout</h4> +<table class="fields"> +<tr><td class="val" id="matrix">matrix</td><td class="desc"> <p>A pointer to the target matrix. Remains untouched in case of error.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>FreeType error code. 0 means success.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Angle">FT_Angle</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Angle">FT_Angle</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> <span class="keyword">typedef</span> <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> <b>FT_Angle</b>; +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>This type is used to model angle values in FreeType. Note that the angle is a 16.16 fixed-point value expressed in degrees.</p> -</td></tr></table><br> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_ANGLE_PI">FT_ANGLE_PI</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_ANGLE_PI">FT_ANGLE_PI</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> #define <b>FT_ANGLE_PI</b> ( 180L << 16 ) +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>The angle pi expressed in <a href="ft2-computations.html#FT_Angle">FT_Angle</a> units.</p> -</td></tr></table><br> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_ANGLE_2PI">FT_ANGLE_2PI</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_ANGLE_2PI">FT_ANGLE_2PI</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> #define <b>FT_ANGLE_2PI</b> ( <a href="ft2-computations.html#FT_ANGLE_PI">FT_ANGLE_PI</a> * 2 ) +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>The angle 2*pi expressed in <a href="ft2-computations.html#FT_Angle">FT_Angle</a> units.</p> -</td></tr></table><br> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_ANGLE_PI2">FT_ANGLE_PI2</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_ANGLE_PI2">FT_ANGLE_PI2</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> #define <b>FT_ANGLE_PI2</b> ( <a href="ft2-computations.html#FT_ANGLE_PI">FT_ANGLE_PI</a> / 2 ) +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>The angle pi/2 expressed in <a href="ft2-computations.html#FT_Angle">FT_Angle</a> units.</p> -</td></tr></table><br> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_ANGLE_PI4">FT_ANGLE_PI4</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_ANGLE_PI4">FT_ANGLE_PI4</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> #define <b>FT_ANGLE_PI4</b> ( <a href="ft2-computations.html#FT_ANGLE_PI">FT_ANGLE_PI</a> / 4 ) +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>The angle pi/4 expressed in <a href="ft2-computations.html#FT_Angle">FT_Angle</a> units.</p> -</td></tr></table><br> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Sin">FT_Sin</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Sin">FT_Sin</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> ) <b>FT_Sin</b>( <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Return the sinus of a given angle in fixed-point format.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>angle</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="angle">angle</td><td class="desc"> <p>The input angle.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The sinus value.</p> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>note</b></em></td></tr><tr><td> + +<h4>note</h4> <p>If you need both the sinus and cosinus for a given angle, use the function <a href="ft2-computations.html#FT_Vector_Unit">FT_Vector_Unit</a>.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Cos">FT_Cos</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Cos">FT_Cos</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> ) <b>FT_Cos</b>( <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Return the cosinus of a given angle in fixed-point format.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>angle</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="angle">angle</td><td class="desc"> <p>The input angle.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The cosinus value.</p> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>note</b></em></td></tr><tr><td> + +<h4>note</h4> <p>If you need both the sinus and cosinus for a given angle, use the function <a href="ft2-computations.html#FT_Vector_Unit">FT_Vector_Unit</a>.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Tan">FT_Tan</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Tan">FT_Tan</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> ) <b>FT_Tan</b>( <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Return the tangent of a given angle in fixed-point format.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>angle</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="angle">angle</td><td class="desc"> <p>The input angle.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The tangent value.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Atan2">FT_Atan2</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Atan2">FT_Atan2</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <a href="ft2-computations.html#FT_Angle">FT_Angle</a> ) <b>FT_Atan2</b>( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> x, <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> y ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Return the arc-tangent corresponding to a given vector (x,y) in the 2d plane.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>x</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="x">x</td><td class="desc"> <p>The horizontal vector coordinate.</p> </td></tr> -<tr valign=top><td><b>y</b></td><td> +<tr><td class="val" id="y">y</td><td class="desc"> <p>The vertical vector coordinate.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The arc-tangent value (i.e. angle).</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Angle_Diff">FT_Angle_Diff</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Angle_Diff">FT_Angle_Diff</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <a href="ft2-computations.html#FT_Angle">FT_Angle</a> ) <b>FT_Angle_Diff</b>( <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle1, <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle2 ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Return the difference between two angles. The result is always constrained to the ]-PI..PI] interval.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>angle1</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="angle1">angle1</td><td class="desc"> <p>First angle.</p> </td></tr> -<tr valign=top><td><b>angle2</b></td><td> +<tr><td class="val" id="angle2">angle2</td><td class="desc"> <p>Second angle.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>Constrained value of ‘value2-value1’.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Vector_Unit">FT_Vector_Unit</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Vector_Unit">FT_Vector_Unit</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <span class="keyword">void</span> ) <b>FT_Vector_Unit</b>( <a href="ft2-basic_types.html#FT_Vector">FT_Vector</a>* vec, <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Return the unit vector corresponding to a given angle. After the call, the value of ‘vec.x’ will be ‘sin(angle)’, and the value of ‘vec.y’ will be ‘cos(angle)’.</p> <p>This function is useful to retrieve both the sinus and cosinus of a given angle quickly.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>output</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>vec</b></td><td> + +<h4>output</h4> +<table class="fields"> +<tr><td class="val" id="vec">vec</td><td class="desc"> <p>The address of target vector.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>angle</b></td><td> -<p>The address of angle.</p> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="angle">angle</td><td class="desc"> +<p>The input angle.</p> </td></tr> </table> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Vector_Rotate">FT_Vector_Rotate</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Vector_Rotate">FT_Vector_Rotate</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <span class="keyword">void</span> ) <b>FT_Vector_Rotate</b>( <a href="ft2-basic_types.html#FT_Vector">FT_Vector</a>* vec, <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Rotate a vector by a given angle.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>inout</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>vec</b></td><td> + +<h4>inout</h4> +<table class="fields"> +<tr><td class="val" id="vec">vec</td><td class="desc"> <p>The address of target vector.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>angle</b></td><td> -<p>The address of angle.</p> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="angle">angle</td><td class="desc"> +<p>The input angle.</p> </td></tr> </table> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Vector_Length">FT_Vector_Length</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Vector_Length">FT_Vector_Length</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> ) <b>FT_Vector_Length</b>( <a href="ft2-basic_types.html#FT_Vector">FT_Vector</a>* vec ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Return the length of a given vector.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>vec</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="vec">vec</td><td class="desc"> <p>The address of target vector.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>return</b></em></td></tr><tr><td> + +<h4>return</h4> <p>The vector length, expressed in the same units that the original vector coordinates.</p> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Vector_Polarize">FT_Vector_Polarize</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Vector_Polarize">FT_Vector_Polarize</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <span class="keyword">void</span> ) <b>FT_Vector_Polarize</b>( <a href="ft2-basic_types.html#FT_Vector">FT_Vector</a>* vec, <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> *length, <a href="ft2-computations.html#FT_Angle">FT_Angle</a> *angle ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Compute both the length and angle of a given vector.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>vec</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="vec">vec</td><td class="desc"> <p>The address of source vector.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>output</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>length</b></td><td> + +<h4>output</h4> +<table class="fields"> +<tr><td class="val" id="length">length</td><td class="desc"> <p>The vector length.</p> </td></tr> -<tr valign=top><td><b>angle</b></td><td> +<tr><td class="val" id="angle">angle</td><td class="desc"> <p>The vector angle.</p> </td></tr> </table> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> - -<table align=center width="75%"><tr><td> -<h4><a name="FT_Vector_From_Polar">FT_Vector_From_Polar</a></h4> -<table align=center width="87%"><tr><td> -Defined in FT_TRIGONOMETRY_H (fttrigon.h). -</td></tr></table><br> -<table align=center width="87%"><tr bgcolor="#D6E8FF"><td><pre> +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> + +<div class="section"> +<h3 id="FT_Vector_From_Polar">FT_Vector_From_Polar</h3> +<p>Defined in FT_TRIGONOMETRY_H (fttrigon.h).</p> +<pre> FT_EXPORT( <span class="keyword">void</span> ) <b>FT_Vector_From_Polar</b>( <a href="ft2-basic_types.html#FT_Vector">FT_Vector</a>* vec, <a href="ft2-basic_types.html#FT_Fixed">FT_Fixed</a> length, <a href="ft2-computations.html#FT_Angle">FT_Angle</a> angle ); +</pre> -</pre></table><br> -<table align=center width="87%"><tr><td> <p>Compute vector coordinates from a length and angle.</p> -</td></tr></table><br> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>output</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>vec</b></td><td> + +<h4>output</h4> +<table class="fields"> +<tr><td class="val" id="vec">vec</td><td class="desc"> <p>The address of source vector.</p> </td></tr> </table> -</td></tr></table> -<table align=center width="87%" cellpadding=5><tr bgcolor="#EEEEFF"><td><em><b>input</b></em></td></tr><tr><td> -<p></p> -<table cellpadding=3 border=0> -<tr valign=top><td><b>length</b></td><td> + +<h4>input</h4> +<table class="fields"> +<tr><td class="val" id="length">length</td><td class="desc"> <p>The vector length.</p> </td></tr> -<tr valign=top><td><b>angle</b></td><td> +<tr><td class="val" id="angle">angle</td><td class="desc"> <p>The vector angle.</p> </td></tr> </table> -</td></tr></table> -</td></tr></table> -<hr width="75%"> -<table align=center width="75%"><tr><td><font size=-2>[<a href="ft2-index.html">Index</a>]</font></td> -<td width="100%"></td> -<td><font size=-2>[<a href="ft2-toc.html">TOC</a>]</font></td></tr></table> + +<hr> +<table class="index-toc-link"><tr><td class="left">[<a href="ft2-index.html">Index</a>]</td><td class="middle">[<a href="#">Top</a>]</td><td class="right">[<a href="ft2-toc.html">TOC</a>]</td></tr></table></div> </body> </html> |