61 lines
1.8 KiB
Text
61 lines
1.8 KiB
Text
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/// @ref gtx_spline
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namespace glm
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{
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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 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 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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