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<title>Data/Colour/CIE/Chromaticity.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-
<a name="line-2"></a>Copyright (c) 2008
<a name="line-3"></a>Russell O'Connor
<a name="line-4"></a>
<a name="line-5"></a>Permission is hereby granted, free of charge, to any person obtaining a copy
<a name="line-6"></a>of this software and associated documentation files (the "Software"), to deal
<a name="line-7"></a>in the Software without restriction, including without limitation the rights
<a name="line-8"></a>to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
<a name="line-9"></a>copies of the Software, and to permit persons to whom the Software is
<a name="line-10"></a>furnished to do so, subject to the following conditions:
<a name="line-11"></a>
<a name="line-12"></a>The above copyright notice and this permission notice shall be included in
<a name="line-13"></a>all copies or substantial portions of the Software.
<a name="line-14"></a>
<a name="line-15"></a>THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
<a name="line-16"></a>IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
<a name="line-17"></a>FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
<a name="line-18"></a>AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
<a name="line-19"></a>LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
<a name="line-20"></a>OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
<a name="line-21"></a>THE SOFTWARE.
<a name="line-22"></a>-}</span>
<a name="line-23"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Colour</span><span class='hs-varop'>.</span><span class='hs-conid'>CIE</span><span class='hs-varop'>.</span><span class='hs-conid'>Chromaticity</span> <span class='hs-keyword'>where</span>
<a name="line-24"></a>
<a name="line-25"></a><a name="Chromaticity"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Chroma</span> <span class='hs-varop'>!</span><span class='hs-varid'>a</span> <span class='hs-varop'>!</span><span class='hs-varid'>a</span> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>)</span>
<a name="line-26"></a>
<a name="line-27"></a><a name="mkChromaticity"></a><span class='hs-comment'>-- |Constructs 'Chromaticity' from the CIE little /x/, little /y/</span>
<a name="line-28"></a><span class='hs-comment'>-- coordinates for the 2&#176; standard (colourimetric) observer.</span>
<a name="line-29"></a><span class='hs-definition'>mkChromaticity</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span>
<a name="line-30"></a><span class='hs-definition'>mkChromaticity</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Chroma</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="chromaCoords"></a><span class='hs-comment'>-- |Returns the CIE little /x/, little /y/, little /z/ coordinates</span>
<a name="line-33"></a><span class='hs-comment'>-- for the 2&#176; standard (colourimetric) observer.</span>
<a name="line-34"></a><span class='hs-definition'>chromaCoords</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-35"></a><span class='hs-definition'>chromaCoords</span> <span class='hs-layout'>(</span><span class='hs-conid'>Chroma</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-num'>1</span> <span class='hs-comment'>-</span> <span class='hs-varid'>x</span> <span class='hs-comment'>-</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-36"></a>
<a name="line-37"></a><a name="chromaX"></a><span class='hs-comment'>-- |Returns the CIE little /x/ coordinate</span>
<a name="line-38"></a><span class='hs-comment'>-- for the 2&#176; standard (colourimetric) observer.</span>
<a name="line-39"></a><span class='hs-definition'>chromaX</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-40"></a><span class='hs-definition'>chromaX</span> <span class='hs-layout'>(</span><span class='hs-conid'>Chroma</span> <span class='hs-varid'>x</span> <span class='hs-sel'>_y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span>
<a name="line-41"></a>
<a name="line-42"></a><a name="chromaY"></a><span class='hs-comment'>-- |Returns the CIE little /y/ coordinate</span>
<a name="line-43"></a><span class='hs-comment'>-- for the 2&#176; standard (colourimetric) observer.</span>
<a name="line-44"></a><span class='hs-definition'>chromaY</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-45"></a><span class='hs-definition'>chromaY</span> <span class='hs-layout'>(</span><span class='hs-conid'>Chroma</span> <span class='hs-sel'>_x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span>
<a name="line-46"></a>
<a name="line-47"></a><a name="chromaZ"></a><span class='hs-comment'>-- |Returns the CIE little /z/ coordinate</span>
<a name="line-48"></a><span class='hs-comment'>-- for the 2&#176; standard (colourimetric) observer.</span>
<a name="line-49"></a><span class='hs-definition'>chromaZ</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-50"></a><span class='hs-definition'>chromaZ</span> <span class='hs-layout'>(</span><span class='hs-conid'>Chroma</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-comment'>-</span> <span class='hs-varid'>x</span> <span class='hs-comment'>-</span> <span class='hs-varid'>y</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="chromaConvert"></a><span class='hs-comment'>-- |Change the type used to represent the chromaticity coordinates.</span>
<a name="line-53"></a><span class='hs-definition'>chromaConvert</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Real</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>b</span>
<a name="line-54"></a><span class='hs-definition'>chromaConvert</span> <span class='hs-layout'>(</span><span class='hs-conid'>Chroma</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Chroma</span> <span class='hs-layout'>(</span><span class='hs-varid'>realToFrac</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>realToFrac</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-55"></a>
<a name="line-56"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Show</span> <span class='hs-layout'>(</span><span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-57"></a> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>d</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showParen</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span> <span class='hs-varop'>></span> <span class='hs-varid'>app_prec</span><span class='hs-layout'>)</span> <span class='hs-varid'>showStr</span>
<a name="line-58"></a> <span class='hs-keyword'>where</span>
<a name="line-59"></a> <span class='hs-varid'>showStr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>showString</span> <span class='hs-str'>"mkChromaticity "</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varid'>showsPrec</span> <span class='hs-layout'>(</span><span class='hs-varid'>app_prec</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-60"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>showString</span> <span class='hs-str'>" "</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varid'>showsPrec</span> <span class='hs-layout'>(</span><span class='hs-varid'>app_prec</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-61"></a> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>chromaCoords</span> <span class='hs-varid'>c</span>
<a name="line-62"></a>
<a name="line-63"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Read</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Read</span> <span class='hs-layout'>(</span><span class='hs-conid'>Chromaticity</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-64"></a> <span class='hs-varid'>readsPrec</span> <span class='hs-varid'>d</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>readParen</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span> <span class='hs-varop'>></span> <span class='hs-varid'>app_prec</span><span class='hs-layout'>)</span>
<a name="line-65"></a> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>r</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>mkChromaticity</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-66"></a> <span class='hs-keyglyph'>|</span><span class='hs-layout'>(</span><span class='hs-str'>"mkChromaticity"</span><span class='hs-layout'>,</span><span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>lex</span> <span class='hs-varid'>r</span>
<a name="line-67"></a> <span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>s0</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>readsPrec</span> <span class='hs-layout'>(</span><span class='hs-varid'>app_prec</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-68"></a> <span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>readsPrec</span> <span class='hs-layout'>(</span><span class='hs-varid'>app_prec</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>s0</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span>
<a name="line-69"></a>
<a name="line-70"></a><span class='hs-comment'>--------------------------------------------------------------------------</span>
<a name="line-71"></a><span class='hs-comment'>-- not for export</span>
<a name="line-72"></a><span class='hs-comment'>--------------------------------------------------------------------------</span>
<a name="line-73"></a>
<a name="line-74"></a><a name="app_prec"></a><span class='hs-definition'>app_prec</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>10</span>
<a name="line-75"></a>
<a name="line-76"></a><a name="infix_prec"></a><span class='hs-definition'>infix_prec</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>9</span> <span class='hs-varop'>`asTypeOf`</span> <span class='hs-varid'>app_prec</span>
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