lygia
/v1.1.6
/math
/rotate3d
)returns a 3x3 rotation matrix
Use:
rotate3d(<vec3> axis, <float> radians)
#ifndef FNC_ROTATE3D
#define FNC_ROTATE3D
mat3 rotate3d(in vec3 a, in float r) {
a = normalize(a);
float s = sin(r);
float c = cos(r);
float oc = 1.0 - c;
return mat3(oc * a.x * a.x + c, oc * a.x * a.y - a.z * s, oc * a.z * a.x + a.y * s,
oc * a.x * a.y + a.z * s, oc * a.y * a.y + c, oc * a.y * a.z - a.x * s,
oc * a.z * a.x - a.y * s, oc * a.y * a.z + a.x * s, oc * a.z * a.z + c );
}
#endif
Use:
rotate3d(<float3> axis, <float> radians)
#ifndef FNC_ROTATE3D
#define FNC_ROTATE3D
float3x3 rotate3d(in float3 axis, in float radians) {
axis = normalize(axis);
float s = sin(radians);
float c = cos(radians);
float oc = 1.0 - c;
return float3x3(oc * axis.x * axis.x + c, oc * axis.x * axis.y - axis.z * s, oc * axis.z * axis.x + axis.y * s,
oc * axis.x * axis.y + axis.z * s, oc * axis.y * axis.y + c, oc * axis.y * axis.z - axis.x * s,
oc * axis.z * axis.x - axis.y * s, oc * axis.y * axis.z + axis.x * s, oc * axis.z * axis.z + c );
}
#endif
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