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Fix broken MathML tags
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The OpenGL documentation mixes MathML content markup with presentation markup,
which MathJax cannot deal with. Replacing content markup with equivalent
presentation markup fixes the issue.
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@reima
reima committed Aug 5, 2015
1 parent 2e6fa9a commit ab1e3cb
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Showing 33 changed files with 341 additions and 323 deletions.
8 changes: 4 additions & 4 deletions el3/acos.xhtml
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Expand Up @@ -44,13 +44,13 @@
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">x</mml:mi></mml:math>.
The range of values returned by <code class="function">acos</code> is
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:list order="numeric">
<mml:mfenced open="[" close="]">
<mml:mn>0</mml:mn>
<mml:pi definitionURL="" encoding=""/>
</mml:list>
<mml:mi>π</mml:mi>
</mml:mfenced>
</mml:math>.
The result is undefined if
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:apply><mml:gt definitionURL="" encoding=""/><mml:apply><mml:abs definitionURL="" encoding=""/><mml:mi mathvariant="italic">x</mml:mi></mml:apply><mml:mn>1</mml:mn></mml:apply></mml:math>.
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo>|</mml:mo><mml:mi mathvariant="italic">x</mml:mi><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn>1</mml:mn></mml:math>.
</p>
</div>
{$pipelinestall}{$examples}
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2 changes: 1 addition & 1 deletion el3/acosh.xhtml
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Expand Up @@ -43,7 +43,7 @@
<code class="function">acosh</code> returns the arc hyperbolic cosine of
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">x</mml:mi></mml:math>;
the non-negative inverse of <a class="citerefentry" href="cosh"><span class="citerefentry"><span class="refentrytitle">cosh</span></span></a>. Results
are undefined if <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:apply><mml:lt definitionURL="" encoding=""/><mml:mi mathvariant="italic">x</mml:mi><mml:mn>1</mml:mn></mml:apply></mml:math>.
are undefined if <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">x</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn></mml:math>.
</p>
</div>
{$pipelinestall}{$examples}
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10 changes: 5 additions & 5 deletions el3/asin.xhtml
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Expand Up @@ -44,22 +44,22 @@
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">x</mml:mi></mml:math>.
The range of values returned by <code class="function">asin</code> is
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:list order="numeric">
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mo>−</mml:mo>
<mml:mfrac>
<mml:pi definitionURL="" encoding=""/>
<mml:mi>π</mml:mi>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mfrac>
<mml:pi definitionURL="" encoding=""/>
<mml:mi>π</mml:mi>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:list>
</mml:mfenced>
</mml:math>.
The result is undefined if
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:apply><mml:gt definitionURL="" encoding=""/><mml:apply><mml:abs definitionURL="" encoding=""/><mml:mi mathvariant="italic">x</mml:mi></mml:apply><mml:mn>1</mml:mn></mml:apply></mml:math>.
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo>|</mml:mo><mml:mi mathvariant="italic">x</mml:mi><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn>1</mml:mn></mml:math>.
</p>
</div>
{$pipelinestall}{$examples}
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19 changes: 11 additions & 8 deletions el3/atan.xhtml
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Expand Up @@ -94,30 +94,33 @@
and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">x</mml:mi></mml:math> are used to determine the quadrant
that the angle lies in. The values returned by <code class="function">atan</code> in this case are in the range
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:list order="numeric">
<mml:mrow><mml:mo>−</mml:mo><mml:pi definitionURL="" encoding=""/></mml:mrow>
<mml:pi definitionURL="" encoding=""/>
</mml:list>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mo>−</mml:mo>
<mml:mi>π</mml:mi>
</mml:mrow>
<mml:mi>π</mml:mi>
</mml:mfenced>
</mml:math>. Results are undefined if <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">x</mml:mi></mml:math> is zero.
</p>
<p>
For the second overload, <code class="function">atan</code> returns the angle whose tangent is
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">y_over_x</mml:mi></mml:math>. Values
returned in this case are in the range
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:list order="numeric">
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mo>−</mml:mo>
<mml:mfrac>
<mml:pi definitionURL="" encoding=""/>
<mml:mi>π</mml:mi>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mfrac>
<mml:pi definitionURL="" encoding=""/>
<mml:mi>π</mml:mi>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:list>
</mml:mfenced>
</mml:math>.
</p>
</div>
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2 changes: 1 addition & 1 deletion el3/atanh.xhtml
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Expand Up @@ -43,7 +43,7 @@
<code class="function">atanh</code> returns the arc hyperbolic tangent of
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">x</mml:mi></mml:math>;
the inverse of <a class="citerefentry" href="tanh"><span class="citerefentry"><span class="refentrytitle">tanh</span></span></a>. Results
are undefined if <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:apply><mml:gt definitionURL="" encoding=""/><mml:apply><mml:abs definitionURL="" encoding=""/><mml:mi mathvariant="italic">x</mml:mi></mml:apply><mml:mn>1</mml:mn></mml:apply></mml:math>.
are undefined if <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo>|</mml:mo><mml:mi mathvariant="italic">x</mml:mi><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn>1</mml:mn></mml:math>.
</p>
</div>
{$pipelinestall}{$examples}
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138 changes: 73 additions & 65 deletions el3/cross.xhtml
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Expand Up @@ -60,71 +60,79 @@
</p>
<p>
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:vector>
<mml:csymbol encoding="" definitionURL="">
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo>−</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
</mml:csymbol>
<mml:csymbol encoding="" definitionURL="">
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo>−</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
</mml:csymbol>
<mml:csymbol encoding="" definitionURL="">
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo>−</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
</mml:csymbol>
</mml:vector>
<mml:mo>(</mml:mo>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo>−</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo>−</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo>−</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
<mml:mo lspace="2px" rspace="2px">⋅</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">]</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
<mml:mo>)</mml:mo>
</mml:math>
</p>
</div>
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2 changes: 1 addition & 1 deletion el3/degrees.xhtml
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Expand Up @@ -48,7 +48,7 @@
<mml:mn>180</mml:mn><mml:mo>⋅</mml:mo>
<mml:mi mathvariant="italic">radians</mml:mi>
</mml:mrow>
<mml:pi definitionURL="" encoding=""/>
<mml:mi>π</mml:mi>
</mml:mfrac>
</mml:math>.
</p>
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2 changes: 1 addition & 1 deletion el3/inversesqrt.xhtml
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Expand Up @@ -42,7 +42,7 @@
<p>
<code class="function">inversesqrt</code> returns the inverse of the square root of <em class="parameter"><code>x</code></em>.
i.e., the value <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mfrac><mml:mn>1</mml:mn><mml:msqrt><mml:mi>x</mml:mi></mml:msqrt></mml:mfrac></mml:math>.
Results are undefined if <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:apply><mml:leq definitionURL="" encoding=""/><mml:mi>x</mml:mi><mml:mn>0</mml:mn></mml:apply></mml:math>.
Results are undefined if <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>x</mml:mi><mml:mo>≤</mml:mo><mml:mn>0</mml:mn></mml:math>.
</p>
</div>
{$pipelinestall}{$examples}
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37 changes: 17 additions & 20 deletions el3/length.xhtml
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Expand Up @@ -42,26 +42,23 @@
<p>
<code class="function">length</code> returns the length of the vector. i.e.,
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:apply>
<mml:root definitionURL="" encoding=""/>
<mml:csymbol encoding="" definitionURL="">
<mml:msup>
<mml:mrow>
<mml:mi>x</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:mn>0</mml:mn><mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>x</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mo lspace="0px" form="infix">...</mml:mo>
</mml:csymbol>
</mml:apply>
<mml:msqrt>
<mml:msup>
<mml:mrow>
<mml:mi>x</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:mn>0</mml:mn><mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>x</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mo lspace="0px" form="infix">…</mml:mo>
</mml:msqrt>
</mml:math>
</p>
</div>
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2 changes: 1 addition & 1 deletion el3/log.xhtml
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Expand Up @@ -42,7 +42,7 @@
<p>
<code class="function">log</code> returns the natural logarithm of <em class="parameter"><code>x</code></em>. i.e., the value
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>y</mml:mi></mml:math> which satisfies
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:apply><mml:eq definitionURL="" encoding=""/><mml:mi>x</mml:mi><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mi>y</mml:mi></mml:msup></mml:mrow></mml:apply></mml:math>.
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mi>y</mml:mi></mml:msup></mml:math>.
Results are undefined if <em class="parameter"><code>x</code></em> ≤ 0.
</p>
</div>
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2 changes: 1 addition & 1 deletion el3/log2.xhtml
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Expand Up @@ -42,7 +42,7 @@
<p>
<code class="function">log2</code> returns the base 2 logarithm of <em class="parameter"><code>x</code></em>. i.e., the value
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>y</mml:mi></mml:math> which satisfies
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:apply><mml:eq definitionURL="" encoding=""/><mml:mi>x</mml:mi><mml:mrow><mml:msup><mml:mi>2</mml:mi><mml:mi>y</mml:mi></mml:msup></mml:mrow></mml:apply></mml:math>.
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mi>y</mml:mi></mml:msup></mml:math>.
Results are undefined if <em class="parameter"><code>x</code></em> ≤ 0.
</p>
</div>
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2 changes: 1 addition & 1 deletion el3/radians.xhtml
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Expand Up @@ -45,7 +45,7 @@
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mfrac>
<mml:mrow>
<mml:pi definitionURL="" encoding=""/><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">degrees</mml:mi>
<mml:mi>π</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">degrees</mml:mi>
</mml:mrow>
<mml:mn>180</mml:mn>
</mml:mfrac>
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