summaryrefslogtreecommitdiffstats
path: root/external/include/glm/gtx/spline.inl
blob: ca7b439e4ea9247a9157e8757a3570a5a6cb5857 (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
/// @ref gtx_spline
/// @file glm/gtx/spline.inl

namespace glm
{
	template<typename genType>
	GLM_FUNC_QUALIFIER genType catmullRom
	(
		genType const& v1,
		genType const& v2,
		genType const& v3,
		genType const& v4,
		typename genType::value_type const& s
	)
	{
		typename genType::value_type s2 = pow2(s);
		typename genType::value_type s3 = pow3(s);

		typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s;
		typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2);
		typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s;
		typename genType::value_type f4 = s3 - s2;

		return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2);

	}

	template<typename genType>
	GLM_FUNC_QUALIFIER genType hermite
	(
		genType const& v1,
		genType const& t1,
		genType const& v2,
		genType const& t2,
		typename genType::value_type const& s
	)
	{
		typename genType::value_type s2 = pow2(s);
		typename genType::value_type s3 = pow3(s);

		typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1);
		typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2;
		typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s;
		typename genType::value_type f4 = s3 - s2;

		return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
	}

	template<typename genType>
	GLM_FUNC_QUALIFIER genType cubic
	(
		genType const& v1,
		genType const& v2,
		genType const& v3,
		genType const& v4,
		typename genType::value_type const& s
	)
	{
		return ((v1 * s + v2) * s + v3) * s + v4;
	}
}//namespace glm