2013-07-16 06:42:44 +00:00
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// OpenGL Mathematics Copyright (c) 2005 - 2012 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2007-01-25
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// Updated : 2009-02-19
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// Licence : This source is under MIT License
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// File : glm/gtx/spline.inl
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///////////////////////////////////////////////////////////////////////////////////////////////////
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namespace glm{
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template <typename genType>
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GLM_FUNC_QUALIFIER genType catmullRom
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(
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genType const & v1,
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genType const & v2,
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genType const & v3,
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genType const & v4,
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typename genType::value_type const & s
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)
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{
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typename genType::value_type s1 = s;
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typename genType::value_type s2 = pow2(s);
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typename genType::value_type s3 = pow3(s);
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typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s;
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typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2);
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typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s;
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typename genType::value_type f4 = s3 - s2;
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return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType hermite
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(
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genType const & v1,
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genType const & t1,
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genType const & v2,
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genType const & t2,
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typename genType::value_type const & s
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)
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{
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typename genType::value_type s1 = s;
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typename genType::value_type s2 = pow2(s);
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typename genType::value_type s3 = pow3(s);
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typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1);
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typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2;
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typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s;
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typename genType::value_type f4 = s3 - s2;
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return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType cubic
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(
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genType const & v1,
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genType const & v2,
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genType const & v3,
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genType const & v4,
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typename genType::value_type const & s
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)
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{
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return ((v1 * s + v2) * s + v3) * s + v4;
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}
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}//namespace glm
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