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cubic hermite interpolation and bezier for vec3

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Recep Aslantas
2018-07-11 14:01:53 +03:00
parent 06b2a53113
commit 7e7098d498
1 changed files with 88 additions and 0 deletions
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88
include/cglm/bezier.h
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@@ -33,4 +33,92 @@ glm_bezier_cubic(float t, float p0, float c0, float c1, float p1) {
return p0 * ss * s + 3.0f * c0 * t * ss + 3.0f * c1 * tt * s + p1 * tt * t;
}
/*!
* @brief cubic bezier interpolation for vec3
*
* @param[in] t time between 0 and 1
* @param[in] p0 begin point
* @param[in] c0 control point 1
* @param[in] c1 control point 2
* @param[in] p1 end point
* @param[in] dest destination
*/
CGLM_INLINE
void
glm_bezier_cubicv3(float t, vec3 p0, vec3 c0, vec3 c1, vec3 p1, vec3 dest) {
vec3 Bs, tmp0, tmp1, tmp2;
float s, ss, tt;
s = 1.0f - t;
ss = s * s;
tt = t * t;
glm_vec_scale(p0, ss * s, Bs);
glm_vec_scale(c0, 3.0f * t * ss, tmp0);
glm_vec_scale(c1, 3.0f * tt * s, tmp1);
glm_vec_scale(p1, tt * t, tmp2);
glm_vec_add(Bs, tmp0, Bs);
glm_vec_add(Bs, tmp1, Bs);
glm_vec_add(Bs, tmp2, Bs);
glm_vec_copy(Bs, dest);
}
/*!
* @brief cubic hermite interpolation
*
* @param[in] t time between 0 and 1
* @param[in] p0 begin point
* @param[in] t0 tangent 1
* @param[in] t1 tangent 2
* @param[in] p1 end point
*
* @return B(s)
*/
CGLM_INLINE
float
glm_hermite_cubic(float t, float p0, float t0, float t1, float p1) {
float tt, ttt;
tt = t * t;
ttt = tt * t;
return p0 * (2.0f * ttt - 3.0f * tt + 1)
+ t0 * (ttt - 2.0f * tt + t)
+ p1 * (3.0f * tt - 2.0f * ttt)
- t1 * (ttt - tt);
}
/*!
* @brief cubic hermite interpolation for vec3
*
* @param[in] t time between 0 and 1
* @param[in] p0 begin point
* @param[in] t0 tangent 1
* @param[in] t1 tangent 2
* @param[in] p1 end point
* @param[in] dest destination
*/
CGLM_INLINE
void
glm_hermite_cubicv3(float t, vec3 p0, vec3 t0, vec3 t1, vec3 p1, vec3 dest) {
vec3 Hs, tmp0, tmp1, tmp2;
float tt, ttt;
tt = t * t;
ttt = tt * t;
glm_vec_scale(p0, 2.0f * ttt - 3.0f * tt + 1, Hs);
glm_vec_scale(t0, ttt - 2.0f * tt + t, tmp0);
glm_vec_scale(p1, 3.0f * tt - 2.0f * ttt, tmp1);
glm_vec_scale(t1, ttt - tt, tmp2);
glm_vec_add(Hs, tmp0, Hs);
glm_vec_add(Hs, tmp1, Hs);
glm_vec_add(Hs, tmp2, Hs);
glm_vec_copy(Hs, dest);
}
#endif /* cglm_bezier_h */